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+ m - 1. Let y(f) = -5*n(f) - 2*x(f). Let j be (-10)/(-6) - 2/(-6). Calculate y(j).
-3
Let j be 2/(-14) + 9/((-189)/(-87)). Let c be -9 - j/4*-3. Let w(k) = -k. What is w(c)?
6
Let o(b) be the second derivative of -1/2*b**2 + 3/4*b**5 - 16*b - 1/6*b**4 + 0 + 1/3*b**3. Determine o(1).
14
Let b = 1556 - 1545. Let g(x) = x**3 - 12*x**2 + 11*x + 14. Give g(b).
14
Let m(g) be the first derivative of -7*g**2 + 3*g - 236. Determine m(1).
-11
Suppose -127*f + 126*f = 3. Let v(g) = -2*g - 4. What is v(f)?
2
Let c(s) = -s**2 + s + 3. Let k(p) = 3*p**2 - 2*p - 7. Let l(m) = -5*c(m) - 2*k(m). What is l(-1)?
-1
Let c(u) be the first derivative of u**2/2 + 2*u + 1. Suppose 4*a = -p - 15, -15*p = -a - 11*p + 9. Determine c(a).
-1
Let s(c) = c**2 - 9*c - 6. Let n be 0/(12/(-3)) - -2. Suppose -4 = -n*z + 14. Determine s(z).
-6
Let v(r) = r - 5. Suppose 2*j - 5 = -4*f + 1, -12 = -4*j - 5*f. Let x(d) = d - 7. Let i(q) = j*x(q) - 4*v(q). What is i(4)?
-5
Let h(l) = -9 - l**2 - 2108*l + 2103*l - 6. Determine h(-6).
-21
Let k = -4 + 3. Let p(s) be the third derivative of -s**8/20160 - s**7/2520 - s**6/720 - s**5/15 - 5*s**2. Let z(h) be the third derivative of p(h). Give z(k).
0
Let q(r) = r**3 + 3*r**2 - 3*r + 1. Let b(u) be the third derivative of -3/8*u**4 - 3*u**2 + 0 + 1/60*u**5 + 0*u - 2/3*u**3. Let m be b(9). Give q(m).
-3
Let y(w) = -w**3 + 5*w**2 - 2*w - 4. Let s = -5 + 34. Let m = -25 + s. Give y(m).
4
Let g be (40/(-44))/(-5) - 1043/(-11). Let d(v) = 91*v - 2 - g*v - v**2 + 3. Calculate d(-3).
4
Let j(l) = 30 + 6*l - l**2 - 28*l**3 - l - 4*l + 29*l**3. Give j(0).
30
Let g(h) = -h - 1. Let m be g(-2). Suppose 0 = 3*k - 4*n - 14, 5*k = -0*n + n + 12. Let c(q) = 5*q**k + 1 - 4*q**2 - 2*q + 5*q**3 + 0*q**3. What is c(m)?
5
Let v(z) = 16*z - 70. Let w be v(4). Let r(d) = -3*d - 8. Give r(w).
10
Suppose 4*l - 2*b - 20 = -b, -4*l + 4 = 3*b. Let f(g) be the second derivative of -1/6*g**3 - 2*g + 1/12*g**4 + 0 - 5/2*g**2. Give f(l).
7
Let q = 10 + -6. Let a(z) = 7 + z + 11*z**2 - q*z + 9*z - 2*z**3. Let l be a(6). Let x(g) = -g**3 + 6*g**2 + 7*g + 4. Give x(l).
4
Suppose 2*w = -3*w + 10. Suppose 0 = 4*o - w*o. Let k(v) = v**2 + v - 6. Calculate k(o).
-6
Let s(v) = -11*v**2 + 8 - 27*v - v**3 + 2*v**3 + 45*v - 19*v. What is s(11)?
-3
Let s(z) = -z**2 - 10*z - 2. Let f be s(-7). Let l = 15 - f. Let w(v) = -7*v**2 - 7*v + 1. Let h(d) = -4*d**2 - 4*d + 1. Let r(g) = 5*h(g) - 3*w(g). Give r(l).
14
Let r(c) = -c**2 - 3*c + 12. Let s = -33 - -28. Let u be r(s). Let n(m) = -m**3 - 2*m + 2. Determine n(u).
-10
Suppose -3*n + 2*u - 4 = 0, -2*n - 3*u - 24 = n. Let b(q) = -q**2 - 4*q - 2. What is b(n)?
-2
Let d(s) = -s**3 - 2*s**2 + s + 4. Suppose -5*h = 3*u - 5 - 5, 4*u - 4 = -2*h. Suppose 7 - h = -5*y + 5*t, -3*y - 2*t = 13. What is d(y)?
10
Let g(c) = 3*c + 4. Let i be g(0). Suppose -4*o - 5*b - 5 - 1 = 0, -3*o - i*b = 5. Let u(l) = -6*l**2 - l. Give u(o).
-7
Let j(h) = -h**3 + 5*h**2 + 8*h + 4. Let p be 9 - ((3 - 0) + -3 - -3). Determine j(p).
16
Let a be (-13)/(-221) + (-103)/17. Let l(i) = -2*i**2 - 11*i - 9. Determine l(a).
-15
Let v(w) be the first derivative of -6*w**2 + w + 15 + 5*w**2 + 8*w + 5*w. Give v(10).
-6
Suppose 2*r - s = -7, -1 = -3*s + 8. Let x = r + 5. Let g be x/(-2) - 10/(-20). Let c(y) = y**2 - y - 1. Determine c(g).
1
Let p be 133/28 + (-5)/(-20). Let k(f) be the third derivative of 1/30*f**p + 1/6*f**3 + 0 - 1/24*f**4 - 2*f**2 + 0*f. Give k(1).
2
Suppose 2*k + 8 = -2*k + 4*p, -5*k - p - 10 = 0. Let b(a) be the third derivative of 1/8*a**4 - 2*a**2 + 0 + 0*a + 1/30*a**5 + 1/2*a**3. Give b(k).
5
Let b(w) = 17*w**2 - 15*w + 1. Let v be b(1). Let m(o) = -4*o - 2. Determine m(v).
-14
Let u(t) = 286*t**2 - 285*t**2 - 10 - 11 + t**3. What is u(0)?
-21
Let q = 81 - 77. Let y(a) = 13*a**2 + 9*a - 9. Let u(r) = 7*r**2 + 5*r - 5. Let x(b) = q*y(b) - 7*u(b). What is x(2)?
13
Suppose 2*v + 2*v + 9 = -c, -13 = 3*c + 5*v. Suppose -r - 6 = 9*m - 10*m, 5*r - 3*m + 28 = 0. Let a = r + c. Let u(d) = -2*d - 7. Give u(a).
5
Let i(u) = u**3 - u**2 - u. Let v(r) = 9*r**3 - 11*r**2 - 8*r + 1. Let m(w) = 7*i(w) - v(w). Suppose -4*f = 5*s - 1 + 14, 2*f - 11 = s. Give m(f).
-16
Let z(r) = -1292*r. Let n(s) = 54*s. Let u(d) = 95*n(d) + 4*z(d). Determine u(-1).
38
Suppose -10*l = -14*l + 4. Let h(j) be the second derivative of -j**4/12 + 15*j. Determine h(l).
-1
Let m(b) = 11*b - 4. Let h(y) = 40*y - 124. Let v be h(3). Calculate m(v).
-48
Let l(z) = z**2 - 5*z - 4. Let q(o) = -3*o**2 + 11*o + 9. Let s(f) = -13*l(f) - 6*q(f). Let c(k) = -10*k**2 + 2*k + 5. Let p(y) = -3*c(y) - 7*s(y). Give p(1).
-5
Let j(v) be the third derivative of v**6/120 - 4*v**5/15 - 17*v**4/24 - v**3/2 - 19*v**2. Let g be j(17). Let x(z) = 4*z - 1. What is x(g)?
-13
Suppose -2 = -2*q, -6*q - 5 = 3*s - 2*q. Suppose 0*p - 7*p = -35. Let k(u) = 154*u**2 - 76*u**2 - 77*u**2 + u**3 - 2 - p*u. Give k(s).
-5
Let a(c) = 5*c**3 - 2*c**2 - 10*c + 12. Let q(n) = -4*n**3 + n**2 + 9*n - 11. Let o(z) = -5*a(z) - 6*q(z). Let x be -2*13/((-117)/18). Give o(x).
-10
Let w(l) = 0*l + 3 + 0 - 5*l. Let b(i) = -68*i + 139. Let v be b(2). Determine w(v).
-12
Let v(l) = -l**3 + 3*l**2 + l + 3. Let c = -33 - -87. Let q be -4 + (1 - c/(-3)). Suppose -r = 3*u - q, -16 + 2 = -2*r - 2*u. Give v(r).
6
Let y(f) be the second derivative of -f**5/20 + 3*f**4/4 - f**3/6 + 13*f**2/2 - 3*f - 81. Determine y(9).
4
Let t(o) = o**2 - 6*o - 9. Let g be (2 - (-5)/(-3)) + (-143)/(-39). Suppose 40 = g*v - 4*w, -4*v + 3*w + 0*w + 37 = 0. Calculate t(v).
-2
Let r(j) be the third derivative of 12*j**2 + 1/12*j**5 + 0*j + 0 + 1/3*j**3 + 1/120*j**6 - 5/24*j**4. Determine r(-6).
-4
Let m(a) = -a**2 + 21*a + 42. Let l be m(23). Let k(z) = 12*z + 6. Give k(l).
-42
Let z(o) = -o**2 + 7*o + 9. Let k be (-14)/((-8)/24 - 10/6). Determine z(k).
9
Suppose 34*u - 21*u = 91. Let p(r) be the second derivative of -r**5/120 + 11*r**4/24 + r**3/6 - r. Let n(g) be the second derivative of p(g). Give n(u).
4
Let k be 9/5*(-9 - -14). Let q(l) = -8*l - 3*l + 9 + l**2 + 2 - 1. Determine q(k).
-8
Let j(z) = 2*z**2 + 4*z - 1. Let v be 7 - (-3 + 1 - -5). Let y be v/8 + (-29)/2. Let k = -17 - y. Give j(k).
5
Let h = -442 - -887/2. Let u(g) be the first derivative of 7*g - 6 - h*g**2 - 1/3*g**3. Give u(-5).
-3
Let k(q) = -3*q + 5. Let p(m) = -2*m**2 - 11*m - 5. Let r be p(-5). Determine k(r).
5
Let s(l) be the third derivative of l**6/720 - 5*l**4/8 - 14*l**2. Let w(c) be the second derivative of s(c). Suppose 0 = 4*z - 3*z + 4. Give w(z).
-4
Suppose s + 3*s = 36. Let m be 3/s - (-2)/(-6). Let i(u) = -15*u**2 - 11*u + 22. Let q(w) = 7*w**2 + 5*w - 11. Let a(d) = 6*i(d) + 13*q(d). What is a(m)?
-11
Suppose 12*i = 7*i + 400. Let t(k) = 1 - 76*k**2 + i*k**2 + 2 - 3*k. Suppose -3*n + 5*n = 4. Give t(n).
13
Let m(q) be the second derivative of q**3/6 - q**2 - 2*q. Suppose 3*s - 11*c = -6*c, -c = -3. What is m(s)?
3
Let q = 2 + -5. Let p(t) be the first derivative of -t**2/2 - 4*t + 23. Give p(q).
-1
Let l(x) = 2*x + 99*x**2 - 1 + 67*x**2 - 148*x**2. What is l(-2)?
67
Let f = -6 - -8. Suppose z - 29 = -3*k, -3*k + 52 = f*k - 2*z. Let m(s) = s + k*s**2 + 2*s + 2 - s**2 - 8*s**2. Determine m(-2).
0
Let d(m) = -2*m + 26. Suppose 5*u - 76 = -2*b - 2*b, 3*u - 3*b = 51. What is d(u)?
-6
Let x(y) be the third derivative of -1/120*y**6 + 1/2*y**3 + 1/24*y**4 + 1/60*y**5 + 0*y + 0 + 30*y**2. Calculate x(3).
-12
Let x(p) = 2*p**2 + 7*p - 1. Let v be x(-4). Suppose w + s - 16 = -v*s, s + 5 = 2*w. Let h(r) = r**3 - 4*r**2 + 2*r + 2. Give h(w).
10
Let a = 1607 + -1615. Let x(q) = -q**2 - 9*q - 3. Calculate x(a).
5
Let j = -166 - -171. Let g(a) = a**3 - 4*a**2 - 1. Give g(j).
24
Let j(u) = -u**2 + 5*u + 7. Suppose 5*i - 227 = -4*a, 3*i + 2*i + a = 233. Suppose 0 = 5*r - i + 22. Give j(r).
7
Let g(l) be the first derivative of -l**4/4 + 4*l**3/3 + 2*l**2 + 3*l + 2. Suppose t + 32 = -5*v - 216, 98 = -2*v - t. Let k = v - -55. Calculate g(k).
-2
Let y(z) = 2*z - 4. Let m(a) = 4*a - 9. Let i(f) = 3*m(f) - 7*y(f). Determine i(3).
-5
Let a(h) = 19*h**2 + 2*h + 1. Let o(y) = -4*y**2 + 35*y + 2. Let n be o(9). Let x be 8/28 + 1/n*9. What is a(x)?
18
Let f(s) = 2*s + 13. Let v be (-6)/(-16) + 595/(-136). Calculate f(v).
5
Let l(j) be the first derivative of -j**4/4 + 3*j**3 + j**2 - 9*j - 41. Calcul
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-0*x + x for x.
-1
Let f(m) = 2*m**2 + 2*m - 4. Let s be f(-3). Let z(y) = -4*y + 18. Let u be z(4). Solve -s = 2*o + u*o for o.
-2
Suppose 7 = -q + 2*q. Let h(x) = -x + 9. Let w be h(q). Solve 0 = w*i - i - 2 for i.
2
Let f = -17 - -17. Solve -6*m + m + 25 = f for m.
5
Let q = 10 - 9. Suppose 19 = 4*h - 3*p, -6 = -h + p - q. Solve 2*s = -2*s - h for s.
-1
Suppose -i + 0 = 2. Let m be -24*(24/(-9) - i). Let f = m + -5. Solve -9 = 5*c + f for c.
-4
Let x be 5 - -2 - (-4 + 8). Suppose 13 = 2*a - x. Solve -3*r - r + a = 0 for r.
2
Let g = 8 - 5. Solve -g*z = -2*z + 2 for z.
-2
Suppose 2*w = 5 + 3, 2*r = 3*w. Solve g = -g + r for g.
3
Suppose -134 = 2*l + 36. Let u = 121 + l. Suppose 0 = t + 2*t - u. Solve 0 = 5*a - 3 - t for a.
3
Let n be ((-16)/10)/(12/(-30)). Let z(u) = -u**2 - 5*u - 1. Let j be z(-3). Suppose 4*t - l + 5*l = -12, n*t = -j*l - 17. Solve -3*f = t*f for f.
0
Suppose 0 = -5*i + 6 + 4. Solve -4*g = i + 2 for g.
-1
Suppose -5*l = -26 - 39. Let g = l + -11. Solve -4 - g = -3*s for s.
2
Suppose -i + 2*d = -d + 12, 3*i + 4*d - 29 = 0. Let x(b) = b**3 - 8*b**2 - b. Let u be x(8). Let t = u - -9. Solve p + t + i = 0 for p.
-4
Let x = -4 + 8. Suppose -2*g + 5*z = -61 + 23, x*g = -2*z + 52. Suppose -2*c = -g - 2. Solve a - c = -a for a.
4
Let t(g) = g. Let l be t(3). Let o = 2 + 1. Let q = l - o. Solve q = z + 1 for z.
-1
Let z be (2 - -3)/(-5 + 6). Solve -u + z = -6*u for u.
-1
Suppose -3*i + 6*i - 9 = 0. Suppose -2*o + 5 = i*o. Let p(r) = -r**2 - 9*r - 9. Let k be p(-6). Solve 0 = -5*j + k + o for j.
2
Let n(u) = 1 + u**2 + 4*u**2 - u**3 - 2*u + 0*u. Let a be n(2). Let h = a + -5. Solve 0 - 12 = -h*m for m.
3
Let o be ((-8)/(-6))/(4/12). Suppose -o*u - 4 = -32. Let i(y) = y**2 - 5*y - 9. Let f be i(u). Solve 0*g = g + f for g.
-5
Suppose 0 = 3*a - 7*a + 24. Suppose -3*i = -0*i - a. Suppose i*z + 8 = 3*w - 0*w, -z - 1 = -w. Solve 2*q - 20 = w*q for q.
-5
Let v(o) = o**3 + 16*o**2 - o - 15. Let h be v(-16). Let q be (1 - 6)/(0 - h). Solve 0 = 4*w + q + 3 for w.
-2
Let d(k) = -3*k**3 - 7*k**2 + 2*k**3 - 4 - 3*k**2 - 10*k. Suppose -3*b - 37 + 10 = 0. Let s be d(b). Solve 3*y = s + 4 for y.
3
Suppose 2 = 3*l + f - 0, -3*l + 2*f = -5. Solve -4*y = -l - 11 for y.
3
Let a = -1 - -16. Suppose -8*y = -3*y - a. Solve -y*n - 20 = 2*n for n.
-4
Suppose 4*j - 3*r + 8 = 44, -2*j + 24 = -3*r. Solve -v - v = j for v.
-3
Let k = -4 + 11. Suppose 0 = 3*w - k - 5. Solve -d - w*d = -25 for d.
5
Let p be 1 - -1 - (0 - 0). Let n = -7 - -3. Let s = -4 - n. Solve s = -p*i + i for i.
0
Let p = 5 - 1. Suppose 4*q = 7*a - 2*a - 25, -5*q - p*a + 20 = 0. Suppose 1 = 4*h + 5, q = 3*i - 2*h - 8. Solve -5*o + i = -8 for o.
2
Suppose 12 = -4*p - 0*p. Let a be (2 - 12/p) + -4. Solve -3*h = a*h + 10 for h.
-2
Let s(m) = m**2 - m - 1. Let w(f) = -5*f**2 - 2*f + 3. Let b(c) = 4*s(c) + w(c). Let g be b(-5). Let j = g - 2. Solve a = 2*a - j for a.
2
Let k = -2 + 8. Suppose -3*u - 2*m - k = 0, -2 = 2*u + 5*m + 2. Let q = 0 - u. Solve 0 = -5*x - q - 8 for x.
-2
Let g = -2 - -23. Let d be (-60)/(-14) - 6/g. Suppose -2*h - 2*h + 12 = 0. Solve h*l - d*l = -4 for l.
4
Let h(l) = 4*l - 1. Let u = 6 + -7. Let z be h(u). Let j be ((-4)/(-10))/(z/(-50)). Solve 0 = 6*d - 2*d - j for d.
1
Suppose 0*u + 3*y + 30 = 5*u, -u = y - 6. Let n = -5 + u. Solve -2*g - n = -7 for g.
3
Let m be (-1)/(-8) - 658/(-112). Suppose -4*d + 2 = -14. Solve -m + d = -h for h.
2
Let a(h) = 5*h**3 - h**2 + 2*h - 1. Let i = -6 - -10. Suppose 4*n - i + 0 = 0. Let w be a(n). Solve -25 = -w*y - 0*y for y.
5
Let t = 9 + 2. Solve t = 5*r + 36 for r.
-5
Suppose 4*b = -0*b + 8. Solve b*y + 6 = 4 for y.
-1
Suppose 0 = 4*g - 7*g - 6. Let a = g + 5. Solve -a*f - 3 = -0 for f.
-1
Let b(k) = k**2 - 4*k - 9. Let f be b(-2). Solve a - f*a - 2 = 0 for a.
-1
Suppose 0 = 3*w - 5*b + 5, 2*b - 4 = b. Suppose w = -l + 10. Solve 3*s = 2*s - l for s.
-5
Let g(q) = -5*q**2 - q. Let n be g(-1). Let m be n + 6 - (-1 + 1). Suppose -w = -m*h + 1, 3*h + 2 = 3*w - 1. Solve s = -h*s for s.
0
Suppose 0 = -s - q - q + 12, 9 = -3*s + 3*q. Solve -t + s = -2 for t.
4
Let r = -90 - -102. Suppose -3 = 3*m - 4*m. Solve r - 3 = -m*h for h.
-3
Let u(l) = l**3 - 2*l**2 - 7. Let t be u(5). Let v = -46 + t. Suppose 2*o = -3*f + 6*o + v, -o = -2*f + 8. Solve 2*n + 12 = -f*n for n.
-3
Let m be 2/(-9) - (-195)/27. Solve -m = 4*w + 5 for w.
-3
Let u = -26 - -63. Suppose 5*i - 1 + 7 = -2*k, u = 3*k - 4*i. Let t be 3/(-6)*(-2 + 2). Solve -5*w + k*w + 8 = t for w.
-4
Let c(z) = -z**2 - 10*z + 2. Let m be c(-10). Solve -q - m = 2 for q.
-4
Suppose 0 = -13*q + 90 - 25. Solve -q*s = -8 - 12 for s.
4
Let z(k) be the first derivative of -k**4/12 - k**3 - 3*k**2 + 2*k + 2. Let c(u) be the first derivative of z(u). Let v be c(-4). Solve -v*a = -6*a for a.
0
Let h = -45 - -60. Solve 0 = 3*r + 3 - h for r.
4
Let t(w) = -w**3 - 8*w**2 - w - 6. Let o be t(-8). Suppose 3*s - 9 = h, o*s = -0*s - h + 6. Let m be (s + -2)/(2/8). Solve -16 = -3*r - m for r.
4
Let j = 4 - 1. Let a(i) = 2 + 4*i + j - 4. Let n be a(1). Solve 0*b = -n*b for b.
0
Suppose 0 - 2 = g. Let j(i) = -i**3 + 2*i - 1. Let r be j(g). Suppose b - 3 = 7. Solve 0 = -r*u + u - b for u.
-5
Suppose -d - 6 = -13. Solve -f - 2 + d = 0 for f.
5
Let z(m) = -m**3 + 3*m**2 + 9*m + 6. Let r be z(5). Solve -r = 3*q - 13 for q.
4
Let m be (-8)/(-2*1/1). Suppose -3*y + 11 = -7. Let s(b) = -b**3 + 7*b**2 - 6*b + 2. Let a be s(y). Solve m*n = 5*n - a for n.
2
Let c = 74 - 66. Solve -w = -5*w + c for w.
2
Let j be (1 - -3) + -2 + 18. Let p(s) = -s**2 - s. Let n(c) = -3*c + 1. Let q(u) = n(u) + p(u). Let i be q(-3). Solve i*k - j = -0*k for k.
5
Let s be 18*-3*(-3)/9. Let x = s - 13. Solve -x*p - 6 = 4 for p.
-2
Let k be (-1)/(-2)*(-3 + 3). Solve k = i - 6*i - 20 for i.
-4
Let m(d) = -d**3 + 7*d**2 - 4*d - 4. Let c be 0 - (3 + -6 - 3). Let f be m(c). Solve 3*i - f = -2 for i.
2
Let y = 14 + 6. Solve -3*q = q - y for q.
5
Let g be (-28)/(-126) - (-212)/18. Let q be (-1 + 26)*g/15. Solve 0*i + 4*i + q = 0 for i.
-5
Suppose 0 = 4*i - 7 - 13. Solve -f = -i*f + 4 for f.
1
Suppose 3*v + 4*i = 5*i + 19, 7 = -v - 3*i. Solve -5*x = -v - 0 for x.
1
Suppose -50 = -4*z + 2. Let u = 15 - z. Solve 0 = -0*p + p + u for p.
-2
Let t(a) = -a**3 + 5*a**2 + 10*a - 9. Let h be t(6). Let m be 6/h + 8/5. Let l be -5 + m + 5 + -1. Solve 0 = -p + l + 4 for p.
5
Let m be (-18)/24 + (-11)/(-4). Solve -w = m*w for w.
0
Suppose -3 - 15 = -2*l. Let t = l + -7. Suppose -3*v - j + 20 = -t*j, 2*v - 25 = 3*j. Solve v*q = 3*q + 8 for q.
4
Suppose h = 4*h - 15. Suppose -2*z = -b - h, -2*z = b + z - 10. Let t = 4 - 4. Solve t = 2*k - 9 - b for k.
5
Let g be (64/40)/(2/5). Suppose -2*s = 3*x - s - 10, -g*s + 24 = 4*x. Solve x*u = 6*u + 16 for u.
-4
Let j = 10 + -9. Let g be j*3 + (-18 - 5). Let m = g + 35. Solve -c + m = -4*c for c.
-5
Let h be 8*(-2 + (-15)/(-6)). Let k(t) = -t**3 + 3*t**2 + 3*t + 4. Let w be k(h). Suppose w = -4*m - 3*i + 66, -4*m + 3*i + 69 = m. Solve 4*a + a - m = 0 for a.
3
Let b be (-2)/(-3) + (-43)/(-3). Let v be (-5 - -9)/(1 - -1). Suppose 2*m + 2*q - 4 = 0, 2*m - v - 11 = q. Solve m*h - 5 - b = 0 for h.
4
Let i = -11 + 20. Let q = 6 - 4. Suppose -q*j + i = -1. Solve -3 = -j*c + 2 for c.
1
Let t be (-24)/(-9)*(-18)/(-8). Let v = t + -2. Let y(a) = -2*a - 1. Let c be y(-1). Solve v*p + 5 - c = 0 for p.
-1
Suppose -q + 5*k = 2*q - 9, -9 = -3*q + k. Let g = 11 + -6. Solve q = -g*o + 2*o for o.
-1
Let z(j) = j**3 - 7*j**2 - 3. Let n be z(7). Let f = n + 5. Solve 1 = f*i - 1 for i.
1
Let u = -30 - -32. Solve n - u = -0*n for n.
2
Suppose -6*u + 3*u = -0*u. Solve u = -4*n + 4 - 8 for n.
-1
Suppose 4*d = -d + 30. Suppose d*l - 12 = 3*l. Suppose -l*s = -s. Solve s*b - b = -3 for b.
3
Let g = -1 - -7. Let n be (2/4)/(1/g). Solve 5*q + n - 13 = 0 for q.
2
Let h be 0/(-2)*(-1)/(-2). Suppose h = -4*f + 3*f. Suppose 3*u + 2 - 8 = f. Solve 4 = -u*a + 10 for a.
3
Let l(m) = 2*m + 10. Let o be l(-3). Solve 0*r + r - o = 0 for r.
4
Let j(z) = z + 7. Let b be j(10). Solve 4*q + b = -3 for q.
-5
Suppose -5*g + 30 = -0*g - 5*o, -4*o - 10 = -2*g. Let k = 12 - g. Suppose 0*p + 19 = 3*p - k*h, -5*p + 19 = -2*h. Solve -1 = -4*v + p for v.
1
Let h(y) = 5*y**2 - y**3 + 2*y**3 + 0 - y - 5. Let f be h(-4). Suppose -n + 3*n - 12 = -3*b, 0 = 4*b + 2*n - 16. Solve -
|
{
"pile_set_name": "DM Mathematics"
}
|
base 11, what is 2 - -1129a?
112a1
In base 7, what is 2 + -13004165?
-13004163
In base 13, what is -3a911 - 1?
-3a912
In base 11, what is 10364 - -75?
10429
In base 8, what is -10306 - 202?
-10510
In base 5, what is -1301213 + -14?
-1301232
In base 2, what is 100110 - -1010000101100?
1010001010010
In base 5, what is 123 - -114221?
114344
In base 14, what is -1411899 + 4?
-1411895
In base 12, what is 503784 + 4?
503788
In base 5, what is -43113 - 42?
-43210
In base 11, what is 963 + 119?
a81
In base 5, what is 24131 + 1402?
31033
In base 16, what is -3 - 2c2a?
-2c2d
In base 6, what is -1044 + 2451?
1403
In base 14, what is -90ba - -b?
-90ad
In base 9, what is -106 + -1883?
-2100
In base 7, what is 2152455 - 1?
2152454
In base 4, what is -33 + -303002?
-303101
In base 3, what is -211 + 202001121?
202000210
In base 4, what is -221223130 - -3?
-221223121
In base 9, what is -20132 - 8?
-20141
In base 3, what is -2102020221 - -1101?
-2102012120
In base 12, what is -76b15 + -8?
-76b21
In base 6, what is -5 + 453531?
453522
In base 2, what is -1100000 - -10100111010011?
10100101110011
In base 3, what is -1020222120 + -122?
-1021000012
In base 2, what is -10 - -110110101110?
110110101100
In base 16, what is -151c + 34?
-14e8
In base 15, what is 107c + 8?
1085
In base 2, what is -10111101 - 10111010?
-101110111
In base 2, what is 10 + 1000011110101001001?
1000011110101001011
In base 8, what is 50 + 107?
157
In base 13, what is -2 + -494bb6?
-494bb8
In base 9, what is 16 + -1674?
-1657
In base 2, what is 1010011100 - 11101010001?
-10010110101
In base 6, what is 30530 + 2?
30532
In base 8, what is -362406 - 1?
-362407
In base 8, what is 70007 - -13?
70022
In base 14, what is a9b84 - -5?
a9b89
In base 16, what is -503 + -9b?
-59e
In base 7, what is 160300 - -5?
160305
In base 5, what is -1244311 + -22?
-1244333
In base 5, what is -141121 - -42?
-141024
In base 10, what is 53 - -439?
492
In base 12, what is 0 + 642b?
642b
In base 6, what is 11 + 3455315?
3455330
In base 12, what is -231 - -35?
-1b8
In base 10, what is 195 + -10?
185
In base 3, what is 11 - 10120110010012?
-10120110010001
In base 6, what is -544503 - 54?
-545001
In base 3, what is 10110210 + 2?
10110212
In base 10, what is 9 - 4861?
-4852
In base 12, what is -b6 + -6a76?
-6b70
In base 7, what is 12 + -50613?
-50601
In base 9, what is -3384 + -400?
-3784
In base 8, what is 4052 + 2072?
6144
In base 7, what is -2403 - -200?
-2203
In base 8, what is -41776 - -2?
-41774
In base 15, what is 40 + 11e?
15e
In base 3, what is 10 + -12122212111?
-12122212101
In base 14, what is 6 + -c8a77?
-c8a71
In base 5, what is 10 - -1321331?
1321341
In base 12, what is 314a + 9a?
3228
In base 15, what is -27975 + 3?
-27972
In base 16, what is 2a + -16f2?
-16c8
In base 3, what is 222101000 + 11?
222101011
In base 11, what is 1 - 27671?
-27670
In base 3, what is 1021 - -20221002021?
20221010112
In base 15, what is -8a105 + -1?
-8a106
In base 8, what is 17221 - -3?
17224
In base 10, what is -4 - -20291?
20287
In base 12, what is 24 + 490?
4b4
In base 12, what is 5b6 - 36?
580
In base 4, what is 11102132232 + 2?
11102132300
In base 10, what is 2 - -67238?
67240
In base 10, what is 1 + 13038?
13039
In base 6, what is -210143 - 14?
-210201
In base 13, what is -11 + -38a9?
-38ba
In base 10, what is -296 + -5618?
-5914
In base 7, what is 145 + -223364?
-223216
In base 10, what is 7152 - 5?
7147
In base 15, what is 3 + 546bb?
546be
In base 10, what is -9018 + 25?
-8993
In base 7, what is -2 - -51244?
51242
In base 5, what is -224 + 1240?
1011
In base 12, what is -3560 - -1?
-355b
In base 3, what is 2 + -22122122?
-22122120
In base 14, what is 935 + 690?
11c5
In base 14, what is 221 + -764?
-543
In base 3, what is 1011000 + -1012002?
-1002
In base 14, what is 2 - 3d?
-3b
In base 11, what is -1 + -1a900?
-1a901
In base 9, what is -1 - 62485?
-62486
In base 6, what is 2550 + -11000?
-4010
In base 11, what is -18 + -3911?
-3929
In base 11, what is -451 - 110?
-561
In base 9, what is 2 - 138338?
-138336
In base 14, what is -d8 + 1278?
1180
In base 8, what is 0 - 16533?
-16533
In base 4, what is 0 - -10311222?
10311222
In base 13, what is -13455a - 1?
-13455b
In base 16, what is aa8 - -5d?
b05
In base 14, what is -d3 - -241d?
232a
In base 8, what is 5 + 100016?
100023
In base 16, what is 52f7 + -4?
52f3
In base 3, what is -121202 + -1111022?
-2010001
In base 7, what is 40 + -1642?
-1602
In base 9, what is -81033 + 1?
-81032
In base 10, what is 83 + -155?
-72
In base 15, what is 3 + e893d?
e8941
In base 2, what is 1011110110111010011 - -10?
1011110110111010101
In base 2, what is 110111110000100000 + -100?
110111110000011100
In base 2, what is 110 + -100010000111?
-100010000001
In base 14, what is 34504b - 3?
345048
In base 13, what is 557 + -68?
4bc
In base 12, what is 16 - -261b?
2635
In base 11, what is 3 - 159?
-156
In base 13, what is -3 - -3132?
312c
In base 13, what is 7 + 62857?
62861
In base 3, what is -1 + -12010102121?
-12010102122
In base 7, what is 6300442 + -4?
6300435
In base 6, what is -105 + -121200?
-121305
In base 13, what is -22 + 235?
213
In base 10, what is -1324 + -2536?
-3860
In base 15, what is 1 + -d02c?
-d02b
In base 9, what is 134838 - -3?
134842
In base 2, what is -11011011110111 + -1101?
-11011100000100
In base 2, what is 110010100010001011 - 0?
110010100010001011
In base 12, what is 66 + -177?
-111
In base 9, what is 0 + 64661?
64661
In base 13, what is -264 + -125?
-389
In base 14, what is -4 - -5100?
50da
In base 5, what is 3001 - 41?
2410
In base 12, what is 2 + -7118?
-7116
In base 4, what is -33020122 - 3?
-33020131
In base 14, what is 3 + -61066?
-61063
In base 6, what is -1 + -451154?
-451155
In base 4, what is -220101 - 20121?
-300222
In base 11, what is 2 - 2501a3?
-2501a1
In base 5, what is 2 + 41233?
41240
In base 14, what is da213 - 1?
da212
In base 14, what is -12599 + -5?
-125a0
In base 3, what is 1 - 1112201?
-1112200
In base 13, what is 3901 + 6?
3907
In base 16, what is -1 + -4c23e?
-4c23f
In base 16, what is -4bc - 3f?
-4fb
In base 13, what is 1b2 - -100?
2b2
In base 14, what is -13 + 4758?
4745
In base 3, what is 1021 - 10011001?
-10002210
In base 14, what is d11 + 11c?
102d
In base 8, what is 12 - 217035?
-217023
In base 10, what is -374816 - -3?
-374813
In base 4, what is 333 + -310122?
-303123
In base 16, what is -1 - -e4bf6?
e4bf5
In base 10, what is -3 + 640020?
640017
In base 6, what is -1105 - -100115?
55010
In base 3, what is 1 + 112022001111?
112022001112
In base 2, what is 100 + -1101001001110110?
-1101001001110010
In base 13, what is -6ab7b + -b?
-6ab89
In base 9, what is -6 + 7636?
7630
In base 8, what is 4306 + -424?
3662
In base 14, what is 33 - 214?
-1c1
In base 8, what is 6 - -50244?
50252
In base 6, what is -204 + 2414?
2210
In base 13, what is 15 + -10b7a?
-10b65
In base 2, what is 111011011111 + 1?
111011100000
In base 7, what is -32530 - -20?
-32510
In base 5, what is 332213044 - 2?
332213042
In base 5, what is -2331 - 43424?
-101310
In base 2, what is 1001011101001 + 11?
1001011101100
In base 8, what is -113701 - 2?
-113703
In base 7, what is 1042636 + 3?
1042642
In base 13, what is 4 + 11b6c?
11b73
In base 16, what is 0 + -3112c?
-3112c
In base 16, what is -39a96a - -2?
-39a968
In base 5, what is -1010 - 111?
-1121
In base 3, what is 11210022200 + 2?
11210022202
In base 10, what is -12340 - -82?
-12258
In base 11, what is 823897 + -5?
823892
In base 8, what is -36 + 27071?
27033
In base 7, what is -1054 + -45?
-1132
In base 2, what is 1111011 + 100100010?
110011101
In base 15, what is 3038 - -15?
304d
In base 4, what is -220122 + 2002?
-212120
In base 4, what is -2332 + -1002320?
-1011312
In base 16, what is e2b - -1c?
e47
In base 10, what is 1753323 - -5?
1753328
In base 8, what is 10530 - 67?
10441
In base 12, what is -1b + -1604?
-1623
In base 12, what is 3 + 3398?
339b
In base 6, what is -12 - -140300?
140244
In base 7, what is 110620 + 241?
111161
In base 9, what is 16 - -447?
464
In base 9, what is 1311 + -7?
1303
In base 11, what is -7 + 484a8?
484a1
In base 16, what is 199e3 - -9?
199ec
In base 9, what is -12 - 20154?
-20166
In base 16, what is 1 + -1944?
-1943
In base 9, what is 5 - -183378?
183384
In base 4, what is 333233 - 22?
333211
In bas
|
{
"pile_set_name": "DM Mathematics"
}
|
positive.
c**(383/6)
Simplify (u*u*u**(1/8)*u)/(u/(u/(u*u**(-24)*u*u*u)))*(u*u**15*u)/(u*u**(1/10)*u*u) assuming u is positive.
u**(1481/40)
Simplify (((q*q**(-7))/((q**(-7)*q)/q))/((q**1*q)/(q**3/q)))**(-49) assuming q is positive.
q**(-49)
Simplify ((j*j**5)/(j/j**21))**(-45) assuming j is positive.
j**(-1170)
Simplify (d/d**(-4/21)*d**(7/6))**38 assuming d is positive.
d**(627/7)
Simplify (d**(1/6)*d*(d*d**4/d)/d*d**(2/5)*d/d**8)**(-26) assuming d is positive.
d**(949/15)
Simplify (l**(1/20))**18*(l**(-10)/l)**(-8) assuming l is positive.
l**(889/10)
Simplify (((w/(w/(w/((w**(2/7)*w)/w*w))))/w*w)/w)**22/((w*w**(-1/6)*w)/w)**35 assuming w is positive.
w**(-2413/42)
Simplify (((y**(3/10)/y)**45)**48)**49 assuming y is positive.
y**(-74088)
Simplify ((m/(m**(-3)/m*m))/m**17)/(m**(2/7)/m*m*m)**16 assuming m is positive.
m**(-235/7)
Simplify (z/(z**(1/5)*z)*z)/(z*z**(-2/29))*(z*z**6)/z**(3/2) assuming z is positive.
z**(1557/290)
Simplify (((a/(a/a**(-3/35)))/a)**(-6/5))**(-1/24) assuming a is positive.
a**(-19/350)
Simplify (h**(-8/5))**(-3)*(h*h*h/h**(-2/11)*h)**(3/7) assuming h is positive.
h**(2538/385)
Simplify (r/(r**(-3/7)*r*r))**(1/17)*r**(-14)/(r/(r/((r/(r**(1/7)*r))/r)*r)) assuming r is positive.
r**(-1415/119)
Simplify (z/z**(5/4))/(z/z**10*z)*z/(z/z**(7/6))*z**(-2/19) assuming z is positive.
z**(2009/228)
Simplify (t**(-14/9)/(t/t**9))**43 assuming t is positive.
t**(2494/9)
Simplify ((v**(-1)/v*v)**(-3/8)*v/(v/(v**1*v)*v)*v*v*v*v*(v**(-7)/v)/v)**(-24/5) assuming v is positive.
v**(87/5)
Simplify (i**(-3))**(-6)/((i/i**(5/6))/i**10) assuming i is positive.
i**(167/6)
Simplify (g**(1/27))**15/((((g/(g*g**(-3/23)*g))/g)/g)/g*(((g/((g/g**(4/19))/g*g))/g)/g)/g) assuming g is positive.
g**(28375/3933)
Simplify (g*g/(g*g/(g**(1/5)*g)*g)*g**(-2/3))/((g**(-2/5)*g)/(g**(-5/3)/g)) assuming g is positive.
g**(-56/15)
Simplify ((r*r**(-17/2)*r*r)**(-2/89))**40 assuming r is positive.
r**(440/89)
Simplify (((g*(g*g*g/g**0)/g)/g**0)**(-1/17))**(-47) assuming g is positive.
g**(141/17)
Simplify (u**(4/3)*u*u**(-34/5))/(u*u*u**(1/10)*u*u*((u*u**(2/7)*u)/u)/u*u) assuming u is positive.
u**(-2069/210)
Simplify ((l**(-2/7)*l/((l*l/(l*l**(-2/7)/l*l))/l))/((l/(l*l*l**(-7))*l)/(l*l**(-4))))**(-1/8) assuming l is positive.
l**(67/56)
Simplify ((((((h*h**(-2)*h)/h)/h*h*h)/h)/(h*(h**(-3/4)/h)/h*h))/((h**0/h)/(h*h/h**(-9))))**(3/20) assuming h is positive.
h**(141/80)
Simplify (((b/(b**2*b*b))/b**(-11))**(-4/13))**(2/23) assuming b is positive.
b**(-64/299)
Simplify u**(-2/3)*(u*u**(-4))/u*(u*u**(-2))**(-32) assuming u is positive.
u**(82/3)
Simplify (w*w**(-3/2)*(w*w**(-1/6)*w)/w*w**(-3/7)*w**2)**(-9/4) assuming w is positive.
w**(-30/7)
Simplify (l*l**0/l*l)**(-2/7)*l/(l*l**3*l)*l/l**(-8) assuming l is positive.
l**(33/7)
Simplify (q**(2/3)/q**(3/7)*(q**1*q)**(5/4))**(-4/15) assuming q is positive.
q**(-46/63)
Simplify (k*(k*k*k**(-3)*k*k)/k*k)**9/((k*(k*k**(-1)*k*k)/k)/k)**39 assuming k is positive.
k**(-21)
Simplify (x**13/x**(-9)*x*x/(x**(-13)*x)*x*x/(x/(x/(x*x**13/x))))**(-7) assuming x is positive.
x**(-175)
Simplify ((l**0)**(-15)/(l**(2/3))**(1/41))**(-6) assuming l is positive.
l**(4/41)
Simplify (((u*u**(4/3))**(-6/13))**(-2/67))**(-1/11) assuming u is positive.
u**(-28/9581)
Simplify (k**(-1))**(-17)/(k*k*(k/(k/k**25))/k*k*k**33) assuming k is positive.
k**(-43)
Simplify (d*d**(-4)*d)**35/(d**(3/8)*d*d**(-2/5)*d) assuming d is positive.
d**(-2879/40)
Simplify (((p/(p*p*p**(1/2)))/p**(-1/16))/(p**(-2/3))**(-2/63))**49 assuming p is positive.
p**(-30877/432)
Simplify (((n**(4/7))**(-35))**(4/5))**(-36) assuming n is positive.
n**576
Simplify ((w**1)**(-21/5)*(w**0)**(4/7))**(1/6) assuming w is positive.
w**(-7/10)
Simplify a**(-7)/(a**(3/5)*a*a)*(a**(-1)/a)**(-1/7) assuming a is positive.
a**(-326/35)
Simplify (u/(u/(u*(u**(-12/7)/u)/u*u)*u)*u/u**(1/2))/(u**1/(u/(u**(1/3)*u)*u*u)) assuming u is positive.
u**(-65/42)
Simplify (x**3/(x**14/x))**(3/7) assuming x is positive.
x**(-30/7)
Simplify (b/(b/b**14))/b*b*b/b**(-2/49)*b*((b/(b/b**(-1)))/b*b)**(3/31) assuming b is positive.
b**(24219/1519)
Simplify ((m**(-2/7))**(-9)*((m*m*m**(-2/7)*m)/m*m)**(-2/67))**36 assuming m is positive.
m**(42048/469)
Simplify ((h*(h*h**(4/9))/h*h)/h**(-2))**(-9) assuming h is positive.
h**(-40)
Simplify (m/(m/m**(-3/5))*m/((((m*m*m**(-4)/m*m)/m)/m)/m)*(m/(m/((((m*m**(2/9)*m)/m*m)/m)/m)))**(1/5))**(-39) assuming m is positive.
m**(-637/3)
Simplify ((o*o*(o*o**(7/3)*o*o*o)/o)/((o/(o*o/o**(-1/15)*o))/o*o))/((o/(o/o**31))/o)**(-16/5) assuming o is positive.
o**(527/5)
Simplify (i/(i*(i*(i/i**(4/17)*i)/i)/i*i)*i/(i*i/(i/(i**(27/5)/i*i*i))))/(i**(-1)/(i**(-2/61)*i)) assuming i is positive.
i**(-32134/5185)
Simplify m**(-30)/(m**0*m*m)*m*m**(-2/11)*m**(-28) assuming m is positive.
m**(-651/11)
Simplify ((m*m**(2/3)*m*m/m**(-2/9))/(m**(-6/13)*(m/(m*m**(-2)))/m))**32 assuming m is positive.
m**(12544/117)
Simplify p/(p/(p**(-3/14)*p))*p**(5/12)/p*p**(-27/4)*p**(1/7) assuming p is positive.
p**(-269/42)
Simplify (p**4/p)**(11/9)/((p/((p/p**(1/6))/p))/p*p**(-1/2)) assuming p is positive.
p**4
Simplify n/n**8*n/n**(2/15)*(n**(8/3)/n)/n*n/((n/n**9)/n) assuming n is positive.
n**(68/15)
Simplify ((l*l/l**(-6)*l)/(l*l**(-3/10)*l))/((l/l**(-2/5)*l)/l*l**(-10/7)) assuming l is positive.
l**(513/70)
Simplify (h**(-2/23)/h**30)/(h**0*h*(h**(2/17)*h)/h) assuming h is positive.
h**(-12201/391)
Simplify x/(x**16/x*x*x)*x**(-11)/x*(x/((x/x**(-11))/x)*x)**(-1/5) assuming x is positive.
x**(-131/5)
Simplify (v**(1/4)*v**(-5)*v**4*v**6)**(-2/85) assuming v is positive.
v**(-21/170)
Simplify s/(s/s**(-22))*s**(1/8)*s*(s*s*s**(-22))**(-6) assuming s is positive.
s**(793/8)
Simplify (((b*b**(-2))/b**(-5))**(2/159))**9 assuming b is positive.
b**(24/53)
Simplify (l**(2/89)*l/(l/(l/(l*l**(-26))))*l)/((l*l*l/l**(-9/4)*l*l)/(l/(l/l**9))) assuming l is positive.
l**(10243/356)
Simplify ((l**(3/7)*l**(-6))/(l*l/(l/(l/(l*l**(2/5)*l)))*l*l*(l/(l/(l**5/l))*l)/l))**(-5/18) assuming l is positive.
l**(391/126)
Simplify (a*(a*a/(a*a**(-1/2)*a))/a)**(-45)/(a**(-10))**(1/19) assuming a is positive.
a**(-835/38)
Simplify (y*y*y/(y**1/y))**(-13/2)/((y*y**(-1/12))/y**9) assuming y is positive.
y**(-137/12)
Simplify ((f**23/(f**(-5/6)/f))**(-12))**(1/4) assuming f is positive.
f**(-149/2)
Simplify ((j**(-13)*j*j)/(j*(j/j**13)/j*j))/((j/(((j*j**(-3/5))/j)/j))/j**(14/9)) assuming j is positive.
j**(-47/45)
Simplify (s*s/((s**(-7/5)/s)/s)*s*s*s*s**(-1/4))/((s/s**14)/s*s/s**(3/7)) assuming s is positive.
s**(3021/140)
Simplify (t**(2/11))**19*t**15/t**(-12) assuming t is positive.
t**(335/11)
Simplify (o**8*o)**(-29/3)*o**(-22)/o*o*o/(o*o**(3/8)/o)*o assuming o is positive.
o**(-859/8)
Simplify (j**(-13)*j*(j**(-17)*j)/j)/(j**(-16)*(j/j**(-14))/j) assuming j is positive.
j**(-27)
Simplify (s**(3/2)/s)**(-2/177)/(s**(-2/15)/(s**(-1/18)/s)) assuming s is positive.
s**(-4927/5310)
Simplify (h**(1/3)/(h/h**(-1/2))*h**(-2/11)/(h*h**2))**(39/2) assuming h is positive.
h**(-3731/44)
Simplify (s**17)**(-1/11)/(s**(6/5))**(-40) assuming s is positive.
s**(511/11)
Simplify ((t**6*t)/(t*t**(-2)/t*t*t))/(t**(-4))**(-1/13) assuming t is positive.
t**(87/13)
Simplify ((x**(-2/7)/x)**24*(x*x**(-2)*x)**(37/2))**(2/103) assuming x is positive.
x**(-432/721)
Simplify ((m*m**(-9))/m)**(-43)*m**(-1)/(m*m**8*m) assuming m is positive.
m**376
Simplify o**8/((o**(-1/9)*o)/o)*o**12/(o*o/o**14*o*o*o) assuming o is positive.
o**(262/9)
Simplify ((n**(2/15)/n)/((n/((n*(n/n**44*n*n)/n*n)/n))/n))**22 assuming n is positive.
n**(-13816/15)
Simplify ((n**(4/5)/(n/(n*n/n**0)*n))**(-2/5))**(32/5) assuming n is positive.
n**(-256/125)
Simplify (d**(-4/7)/d*d*d/(d**(1/2)*d)*(d**(1/4)*d)**(8/3))**(-15/7) assuming d is positive.
d**(-475/98)
Simplify ((q/q**(-1)*q)/q**(-3))/(q/q**(5/8)*q**(-6/7)*q) assuming q is positive.
q**(307/56)
Simplify (s**(-1/9))**9*(s/(s*((s**(-1/4)*s*s)/s)/s))**23 assuming s is positive.
s**(19/4)
Simplify (p/(p*p/(p/(p*p**(1/3))*p)))**(3/26)/(p**1)**(-2/101) assuming p is positive.
p**(-49/2626)
Simplify (c/c**12)/(c/c**9)*c**8*c/(c**(2/39)/c) assuming c is positive.
c**(271/39)
Simplify (l**(2/71)*((((l*l*l*l**24*l*l*l*l)/l)/l)/l)/l)**(2/35) assuming l is positive.
l**(3838/2485)
Simplify l/((l**(1/2)/l)/l)*((((l*l**13)/l)/
|
{
"pile_set_name": "DM Mathematics"
}
|
s the tens digit of p(-21)?
0
Let u be 3/(-4)*(-120)/18. Suppose 83 = -u*k - 17. Let o = k - -154. What is the tens digit of o?
3
What is the ten thousands digit of (-7 + (-571040)/60)*-3?
2
Suppose 4*d = -2*j - 0*d - 644, -1634 = 5*j + 4*d. Let k = 545 + j. What is the units digit of k?
5
Let o = -11669 + 17562. What is the tens digit of o?
9
Suppose -5*b - 991 = -3*j, 0 = -3*j - 4*b + 1391 - 445. Suppose -15*v + 248 = -j. What is the tens digit of v?
3
Suppose 13*j = -1761 + 357. What is the units digit of j*((-704)/12)/11?
6
Let q(k) = -474*k + 4576. What is the ten thousands digit of q(-46)?
2
Let j(t) = -1078*t**3 + 3*t**2 + t. Let a = 394 + -395. What is the units digit of j(a)?
0
Let k(p) = -2*p**3 + 14*p**2 - 2*p + 10. Let y be k(7). Let h(a) = -3*a**3 + 4*a**2 + 6*a + 11. What is the tens digit of h(y)?
4
Let j = 80 + -56. Suppose 2*g + j = 6*g. What is the hundreds digit of -1*2 + 5 - (-816)/g?
1
What is the hundreds digit of 39/(-3) + 39 + 16838?
8
Suppose 0 = -21*i - 2*i + 81765 + 40020. What is the thousands digit of i?
5
Let s(n) = 3*n**2 + n - 26. Let h be s(-5). Suppose 42*l + 964 = h*l. What is the units digit of l?
2
Suppose -w + 11 - 6 = 0. Let c be 3/(-2) + (-1)/(8/(-36)). Suppose -2*i - 72 = -c*u + 519, -985 = -5*u - w*i. What is the tens digit of u?
9
Suppose -t - 27 = -7*j, -2*t + j + 3*j = 4. What is the hundreds digit of 1489*t/2*(-31)/(-124)?
4
Suppose 3*t = 5*o + 10065 + 6766, -3*t + o + 16847 = 0. What is the units digit of t?
7
Let y be (-12)/(1/((-134)/3)). Suppose 0 = -b - 4*j + 8*j + 114, 4*b - y = -4*j. What is the hundreds digit of b?
1
Suppose -k - 15 = -5*z, -2*k = -3*z + 5 + 4. Suppose -z*r + 2097 = -5*c, 21*r = 18*r + 3*c + 2103. What is the units digit of r?
4
What is the tens digit of 4/((-2)/(-1)) + (-12 - 7 - -17558)?
4
Suppose -41147 = -5*q + 2*f + 18831, 23990 = 2*q - f. What is the thousands digit of q?
1
What is the thousands digit of (2 + 1507)/(5 - (-235)/(-50))?
5
Let b(u) = -u**3 - 6*u**2 - 4*u - 7. Let v be b(-5). Let f = v + 32. Suppose -h + 5*j - f = -129, -5*h + 5*j = -465. What is the tens digit of h?
8
Let g = 9812 - 252. What is the hundreds digit of g?
5
Suppose -3*k = 186*c - 187*c + 27003, 4*k = -4*c + 108012. What is the units digit of c?
3
Let y = -4506 - -6339. What is the units digit of y?
3
Let j = 43 - 49. Let o be ((-4)/j)/(-3 - (-22)/6). What is the units digit of o - -98 - (-12 - -10)?
1
Let j = -60 - 45. Let l = -74 + j. Let s = -30 - l. What is the tens digit of s?
4
Suppose 2*o + 4 = r, -o + 35 = 5*r + 4*o. Let c be (-1 - -2)/(r/32)*-3. What is the units digit of c*(5 - 86/8)?
2
Suppose d - 11 = 13. Let m(q) = -2*q + 0*q + 2*q + q + d. What is the units digit of m(0)?
4
Let d(f) = -20600*f + 1848. What is the ten thousands digit of d(-2)?
4
What is the units digit of (-1107)/(-2)*(-60738)/(-477)?
9
Let v be (7/28)/((-2)/24). What is the units digit of (-23 - (-2 + 0))*(v - 1)?
4
Let x(g) = 53433*g**3 + 2*g**2 + 8*g - 11. What is the tens digit of x(1)?
3
Let a = -1149 + 1923. Let y = a - 365. What is the units digit of y?
9
Let n(d) = 54*d + 273. Suppose 0 = -98*f + 101*f + 5*h - 64, -4*f = -4*h - 32. What is the units digit of n(f)?
5
Suppose -3*g = 2*k - 58891, 0 = 427*k - 423*k + 3*g - 117797. What is the hundreds digit of k?
4
Suppose 18*v - 33772 + 4216 = 0. Let w = v - 841. What is the tens digit of w?
0
Let j be ((-52)/(-8))/(3/(-162)). Let a = j + 386. What is the tens digit of a?
3
Let x(o) = 904*o - 1493. What is the ten thousands digit of x(18)?
1
Suppose -6*k + 107432 = -3*k - 2*g, 0 = -4*g + 20. What is the thousands digit of k?
5
Suppose -2*m - 5*a = m - 467, 0 = 5*m + 2*a - 753. Let q(j) = 3*j**2 + 85*j + 11. Let u be q(-29). Let t = m - u. What is the tens digit of t?
8
Suppose -678 = 5*w + 1597. Let v = 863 + w. What is the hundreds digit of v?
4
Let j(r) = r**3 - 9*r**2 + 23*r - 28. Let q be 34/153 + -20*(-14)/36. What is the units digit of j(q)?
2
Suppose -x + 5*x = 4*h + 8, 32 = 4*x + 2*h. Suppose -j - y = 10, 4*y + x - 36 = 3*j. Let o = 74 + j. What is the units digit of o?
4
Let v = 5521 + -3847. Suppose 0 = -9*b + v + 1557. What is the units digit of b?
9
Suppose -m + 32576 = 3*m - 2*h, -2*m - h + 16292 = 0. What is the hundreds digit of m?
1
Let t be (-796)/(-3) - (0 + 9/27). Let s = 462 + t. What is the units digit of s?
7
Suppose -180 = -p - 11*p. What is the hundreds digit of (-2)/3 + -2*(-4130)/p?
5
Suppose 0 = 4*k - 4*p - 202616, 7*k - 11*k + 5*p + 202617 = 0. What is the hundreds digit of k?
6
What is the tens digit of 12/(-8) + -12 + 6667/2?
2
Let r(q) be the first derivative of 58/3*q**3 - 22 - 3/2*q**2 + 3*q. What is the units digit of r(2)?
9
Let j(u) = -341*u + 10385. What is the thousands digit of j(-33)?
1
Let y(a) = -a**2 - 10*a - 18. Let d be y(-8). Let x(v) = -8*v - 3. Let c be x(d). Let u(h) = 4*h - 16. What is the tens digit of u(c)?
3
Let s be ((4 + -3)*1)/(1/(-18)). Let d be 608/144 + 4/s. What is the units digit of 1/d + 9030/40?
6
Suppose 2*t + 107*t = -29539. Suppose -3*a - 409 = 2*b, -a - 2*b = -4*a - 425. Let g = a - t. What is the hundreds digit of g?
1
Suppose 5*f - 50280 = 5*j - 0*j, -4*f = -j - 40242. What is the ten thousands digit of f?
1
Let v = 912 + -901. Let d(x) = -2*x + 32. Let u(r) = -1. Let w(q) = d(q) - 6*u(q). What is the tens digit of w(v)?
1
What is the hundreds digit of ((-1)/(-4))/(-1) + (-6 - 1786/(-8))?
2
Suppose -3*o + 4*o - 68 = -4*w, -84 = -4*w - 5*o. Suppose g = -3*t - 1 + w, t = g + 5. Suppose 4*y + 5*j - 85 = 288, -3*j - 9 = g. What is the tens digit of y?
9
Suppose 4167147 = 24*y + 255*y - 2653008. What is the tens digit of y?
4
Suppose 2 = -a, p + 0*p - 41 = 4*a. Suppose -32*v - 959 = -p*v. What is the hundreds digit of v?
9
Let z = 244 + -225. Suppose -4*j + z*p = 15*p - 48, 0 = 5*p - 5. What is the tens digit of j?
1
Let j(v) = -10*v + 47. Let c be j(4). Let f(d) = d**2 - 2*d - 7. Let i be f(-5). What is the units digit of 720/i - (-2)/c?
6
Let n = 2006 + -1198. Let a = 1450 - n. What is the tens digit of a?
4
Suppose 304*b = 302*b + 814. Suppose 2*k + 6 + 0 = 0, 5*k = s - b. What is the tens digit of s?
9
Suppose -2*c + 16 = 8. Suppose -2*k - 4*h + 922 = 0, 5*k = -6*h + c*h + 2273. What is the hundreds digit of k?
4
Let r = 10842 - 8156. What is the hundreds digit of r?
6
Suppose 28773*t - 28771*t - 14900 = 0. What is the hundreds digit of t?
4
Suppose -208*i = -2824496 - 2414816. What is the hundreds digit of i?
1
What is the hundreds digit of -6 - (828/(-1) - (-11 + 12))*53?
9
Let q = 525 - 519. What is the hundreds digit of (-2 - 81)/(-7 - (-41)/q)?
4
Let d be 3*(1/1 + -2). What is the tens digit of (-38)/12 - d - (-11555)/30?
8
Let x(h) = -2*h**3 + 18*h**2 + 209*h + 134. What is the tens digit of x(-25)?
0
Let r(a) = 65*a**2 + 29*a - 167. What is the thousands digit of r(6)?
2
Let d = 32887 - 14853. What is the hundreds digit of d?
0
Let s be 631 - (-12)/9*9/6. Suppose 48*v - 51*v + s = 0. What is the units digit of v?
1
Let o be 8/((-40)/(-25)) + -5. Suppose o = 68*v - 137818 + 49962. What is the tens digit of v?
9
Let h = -82 - -90. Let g be (h/10)/((-2)/20) - 3. Let r(k) = k**3 + 12*k**2 + 11*k + 11. What is the tens digit of r(g)?
1
Let g = -42 - 3. Let y = g - -61. Suppose -7*c + y*c = 279. What is the tens digit of c?
3
Let m be -2*(-4 - (3 + 3)). Let h be 5*8/m*1. Suppose -h*b = 3*q - 41, 2*b = 3*q - 17 + 64. What is the tens digit of b?
2
Let j be (36/15)/((-6)/(-2025)). What is the units digit of (927/5)/((j/100)/27)?
8
Suppose -38*v = 21*v - 553479. What is the thousands digit of v?
9
Suppose 774434 = -30*o + 138*o - 149290. What is the tens digit of o?
5
Let v(j) = -9*j + 1. Let m be v(-3). Let x be -15*3/(-9) - -1. Suppose -m - x = -n. What is the tens digit of n?
3
Suppose 13*w - 333 = 18. Suppose 15293 = w*j - 1825. What is the tens digit of j?
3
Suppose 9*h = 6577 + 1073. Suppose 3*r = c - 423, -5*r = c - 3*c + h. What is the units digit of c?
5
Let w be (-88)/(-132)*(5 - 2). Suppose -m = 2*m - 5*c - 739, 0 = w*m + 4*c - 478. What is the units digit of m?
3
Let b be (-2 - 6/(-5))*-5. Suppose b*d + 363 = d. What is the tens digit of (-22)/d - 282/(-22)?
1
What is the thousands digit of 4/(-6) - (25 + 368088/(-63))?
5
Suppose 0 = 6*n - 2*n - 4. Let l = n + 81. What is th
|
{
"pile_set_name": "DM Mathematics"
}
|
sqrt(245) + -3 + sqrt(245))**2.
-196*sqrt(5) + 1029
Simplify ((sqrt(1800)*1)/(2*sqrt(900)) + -1)*-6.
-3*sqrt(2) + 6
Simplify (sqrt(144)/(sqrt(12) + sqrt(144)/(sqrt(24)/sqrt(2))))/((sqrt(220)/(sqrt(11)*-1))/sqrt(5)).
-sqrt(3)/2
Simplify ((4*2*sqrt(147))/sqrt(7))/((sqrt(315)*-6)/sqrt(5)).
-4*sqrt(3)/9
Simplify 1 + sqrt(14)/(sqrt(4)/sqrt(2)) + sqrt(168)/sqrt(6) + 1 + -2*sqrt(343)*-3.
2 + 45*sqrt(7)
Simplify -3*(0 + ((sqrt(170)*1)/sqrt(10) - (sqrt(17) - (sqrt(17) + (-4*sqrt(68)/sqrt(4))**2)))).
-816 - 3*sqrt(17)
Simplify -3*-4*((sqrt(2800) + 0)**2 + 3).
33636
Simplify ((-2*sqrt(44))**2 + ((sqrt(11) - (sqrt(11) + 0 - sqrt(11))**2) + sqrt(11))*-2 + -1)*1.
-4*sqrt(11) + 175
Simplify 1*(((sqrt(17) - (sqrt(17) - sqrt(17)*2)) + sqrt(17))*-1 + sqrt(1088)*2 - (sqrt(102)/sqrt(6)*5 + -2))**2.
32*sqrt(17) + 1092
Simplify (sqrt(288)/(sqrt(8) - (sqrt(8) - sqrt(128))*-2))/(-1*sqrt(1728)*2).
sqrt(3)/120
Simplify sqrt(24)/(sqrt(12) - 6*sqrt(1200)) - -4*sqrt(98)*4.
6607*sqrt(2)/59
Simplify (-3*(sqrt(7) - (sqrt(7) - (sqrt(7) + 3 + sqrt(35)/sqrt(5)))) + -4)**2 + 3.
156*sqrt(7) + 424
Simplify ((sqrt(153) + -4*sqrt(153)*4)/(sqrt(1089)*-5))**2.
153/121
Simplify ((4 + sqrt(126)/sqrt(2))*1 + -3 + -1 + sqrt(1008))**2.
1575
Simplify (4*(sqrt(847) - (sqrt(847) - (0 + sqrt(847))))**2 - (-3*(0 + sqrt(847)))**2)*4.
-16940
Simplify (sqrt(11) - (sqrt(99) + 0 + sqrt(99))) + -5 + sqrt(11) + 0 + sqrt(33)/(2*sqrt(192) + sqrt(192) - sqrt(3)) + -5.
-91*sqrt(11)/23 - 10
Simplify -5*(-2*sqrt(1176)*-2)/(sqrt(588)*-2*5).
2*sqrt(2)
Simplify ((sqrt(1900)*-3 - sqrt(1900))**2 - (0 + sqrt(190)/sqrt(10)))*6.
-6*sqrt(19) + 182400
Simplify (4*(sqrt(18) - sqrt(1458)*-3))/((sqrt(90) + sqrt(90)*1)/sqrt(10) + sqrt(81)*6).
28*sqrt(2)/5
Simplify -3*-1*(sqrt(78)/(-1*sqrt(294) - sqrt(294)) + -4)*-4.
6*sqrt(13)/7 + 48
Simplify ((2*sqrt(204)/sqrt(4) + (1*sqrt(510))/sqrt(10))/(sqrt(108)*1*4))**2.
17/64
Simplify 6*(-5 + (-4*(4 + -1 + sqrt(108)))**2) + -5.
3456*sqrt(3) + 11197
Simplify (sqrt(396)/(sqrt(225)*-5))**2*3.
132/625
Simplify 2 + (0 + sqrt(275))**2 + sqrt(11) + -5 + -5 + (sqrt(539) + -2*sqrt(539) + -1)**2.
15*sqrt(11) + 807
Simplify 2*(-5 + -2 + sqrt(272) + 1)**2.
-96*sqrt(17) + 616
Simplify (2*6*(sqrt(343) + 2 + (sqrt(336)/sqrt(8) + sqrt(42) + sqrt(42))/sqrt(6))*-5)**2.
144000*sqrt(7) + 2534400
Simplify 0 + sqrt(17)*-1*4 - ((sqrt(102) + sqrt(102)*1)/sqrt(6) + 0).
-6*sqrt(17)
Simplify -2 + 5 + sqrt(5)*-1 + 3 + 1 + 4.
-sqrt(5) + 11
Simplify (sqrt(2592) + (sqrt(2592)*-3 + sqrt(2592))*-3)/((sqrt(441) + sqrt(441)*-3 - sqrt(441))*-6).
2*sqrt(2)/3
Simplify ((-3 + sqrt(171) + 4)*-1)**2*-5 + -5.
-865 - 30*sqrt(19)
Simplify -1*(4 + 3*sqrt(891) - (sqrt(891) + 2)*-3)**2.
-32176 - 1080*sqrt(11)
Simplify -5*-4*(2 + sqrt(147) + 2 + 0).
80 + 140*sqrt(3)
Simplify -2 + (-3*(sqrt(7) + 1) - (sqrt(196)/sqrt(4))/sqrt(7))*5 + 0.
-20*sqrt(7) - 17
Simplify (4 + (sqrt(486) + (-1*sqrt(486) - sqrt(486)))/(6*((sqrt(3) - (sqrt(3) - sqrt(3)*2)) + sqrt(3))))**2.
-4*sqrt(2) + 33/2
Simplify ((sqrt(136) - (sqrt(136) - (sqrt(136)*4 - sqrt(136))*4) - sqrt(136))/(1*sqrt(968)))**2.
17
Simplify 4*(-2 + sqrt(363) + (sqrt(363) - (sqrt(363) + 3)) + 5).
44*sqrt(3)
Simplify (sqrt(88) + 3*-2*sqrt(88) + sqrt(88))/(sqrt(8) + (sqrt(8) - -1*sqrt(392)) - sqrt(8)) + 5.
-sqrt(11)/2 + 5
Simplify (sqrt(1584) + 2)**2 + -1*(sqrt(99))**2 - (-1*(sqrt(1584) + 0)**2 + -1).
48*sqrt(11) + 3074
Simplify 4 + 6*(sqrt(76)/sqrt(4)*-1 + 2) + 1.
-6*sqrt(19) + 17
Simplify (sqrt(320) + sqrt(320) + 1 + 2)**2*4 + 2*(sqrt(320) + 1 + sqrt(320)) + 3 + sqrt(320)*1 + sqrt(320).
432*sqrt(5) + 5161
Simplify (sqrt(3159)*3)/(-2*(sqrt(3) + sqrt(12) + sqrt(3))).
-27*sqrt(13)/8
Simplify (5*(-1 + (sqrt(147) + -1 - sqrt(147))*-5 + -1 + sqrt(147)*-2 + 5))**2.
-5600*sqrt(3) + 16300
Simplify (2*2*sqrt(119)*-4)/((sqrt(196)/(sqrt(4)*2))/sqrt(7)).
-32*sqrt(17)
Simplify (sqrt(70)/(sqrt(28)/sqrt(4)) + -2*sqrt(640) + sqrt(640))/(((sqrt(18) + sqrt(162))*-1)/sqrt(9)).
7*sqrt(5)/4
Simplify -3 + 2*sqrt(45) + (-2*(sqrt(5) - (0 + sqrt(605))))**2.
6*sqrt(5) + 1997
Simplify 6*(3*sqrt(72))/((sqrt(4)*-1 - sqrt(4))*-3 + sqrt(4)).
54*sqrt(2)/7
Simplify -1 + -1 + -1 + (4*(-1 + sqrt(2)) + sqrt(2))*3 + 0.
-15 + 15*sqrt(2)
Simplify -4*(0 + (4*-1*sqrt(33))/(sqrt(1584) - -1*sqrt(1584))).
2*sqrt(3)/3
Simplify ((sqrt(1539) + -1)**2 - ((sqrt(19) + -2 + sqrt(19))**2 + -4)) + 5 + 5.
-10*sqrt(19) + 1474
Simplify (1 + 0 + (2*sqrt(99)*-3 + sqrt(99) + sqrt(99))/(sqrt(9) - (2*sqrt(99))/sqrt(11)))**2.
8*sqrt(11) + 177
Simplify (sqrt(5000) - sqrt(5000)*1)/(5*sqrt(10)*4 + sqrt(10)).
0
Simplify ((sqrt(396)/sqrt(99) + sqrt(36) + sqrt(36) + sqrt(900) + (sqrt(900) - (sqrt(900) + sqrt(900)*2 - sqrt(900))) + sqrt(900))/(sqrt(24)/sqrt(18)*-5))**2.
1452/25
Simplify (-4 + 3*((sqrt(76) - (5 + sqrt(76) + sqrt(76)*-4 + sqrt(76))) + sqrt(76) - (4 + 5*sqrt(76) + sqrt(76))))**2.
744*sqrt(19) + 3697
Simplify (0 + sqrt(17))*-1 + 1*sqrt(425) - (-5*(sqrt(2448)*-2 + sqrt(2448))*-2)**2.
-244800 + 4*sqrt(17)
Simplify (2*sqrt(882))/(sqrt(45)/sqrt(125)).
70*sqrt(2)
Simplify ((sqrt(65) + -2*sqrt(65) + sqrt(65))*4 - 6*sqrt(65)*1)/(1*-3*(sqrt(5) + 2*sqrt(5))).
2*sqrt(13)/3
Simplify -5*(-2*sqrt(891))**2 - ((0 + sqrt(891) - sqrt(891))*3)**2 - (-4 + sqrt(891) + 1 + sqrt(891) + 0 + sqrt(891)).
-17817 - 27*sqrt(11)
Simplify -5*-5*(sqrt(52))**2 - (-3*sqrt(26)/sqrt(2) - sqrt(13))*-1.
-4*sqrt(13) + 1300
Simplify ((sqrt(85) - (sqrt(85) + sqrt(85) + (sqrt(85) - -2*sqrt(85)*-6) + sqrt(85)))/(sqrt(180)*3))**2.
17/4
Simplify 1 + (1 + (3 + sqrt(500)*2 - sqrt(500)) + 0)**2 + 4.
80*sqrt(5) + 521
Simplify (sqrt(55) + sqrt(605)/sqrt(44))/(sqrt(11)*-1*-6 - sqrt(11)).
3*sqrt(5)/10
Simplify (0 + (0 + (sqrt(108) + sqrt(108) + sqrt(108) + 1*(-2 + sqrt(108)) + sqrt(108))*-4)**2)*6.
-11520*sqrt(3) + 259584
Simplify ((5*(-2*sqrt(104) + sqrt(104)) - sqrt(104))/(1*sqrt(32)) + 0)**2.
117
Simplify (((1*sqrt(72) + sqrt(72))*-1)**2*1 - (3 + 0 + sqrt(72) + sqrt(72) - ((sqrt(72) - (1*sqrt(72) + sqrt(72) - sqrt(72))) + sqrt(72) + 3))**2) + 3.
219
Simplify ((0 + sqrt(171) + sqrt(171))*-2 + sqrt(171) + sqrt(171) + (sqrt(171) + -1)*-5 + (0 + sqrt(171) + 5 - (sqrt(171)*-2 + 1)))**2.
-216*sqrt(19) + 2817
Simplify -2*sqrt(171)*-2 - ((sqrt(190) - (sqrt(190) - sqrt(190)*2 - sqrt(190)))/sqrt(10) - (sqrt(19) - (-1*sqrt(19) + sqrt(19) + 3))**2).
3*sqrt(19) + 28
Simplify -5*(sqrt(198) + sqrt(198) + 2*sqrt(198)*-2)/(4*sqrt(6)/sqrt(3)*-5).
-3*sqrt(11)/2
Simplify (-1*(-6*1*(sqrt(1872) - (0 + sqrt(1872)) - sqrt(1872))*2 + 5))**2.
1440*sqrt(13) + 269593
Simplify (1*(0 + sqrt(200)) + (sqrt(200) - (sqrt(200) + -4)*4))**2.
-640*sqrt(2) + 1056
Simplify (-5*((-3 + sqrt(2448) + -5 - sqrt(2448)) + 5))**2.
225
Simplify (-3*(2 + sqrt(1008)))**2 + sqrt(77)/((sqrt(88) + -3*sqrt(88))/sqrt(8)) + 5.
863*sqrt(7)/2 + 9113
Simplify ((6*sqrt(104)/sqrt(8))**2 - (((sqrt(325)*-6 - sqrt(325))**2 - sqrt(325)) + sqrt(325) - sqrt(325))) + 4.
-15453 + 5*sqrt(13)
Simplify (-5*(sqrt(16) - sqrt(4)) - sqrt(4) - (sqrt(256) + sqrt(256)*-1))/(sqrt(300)/sqrt(6)*6 - sqrt(50)).
-6*sqrt(2)/25
Simplify ((sqrt(228) + -1*sqrt(228)*1 + sqrt(228))*1)/(sqrt(1452)*-3*-4).
sqrt(19)/132
Simplify -3 + (1*-4*sqrt(77))/(-2*sqrt(175)).
-3 + 2*sqrt(11)/5
Simplify (2*-1*sqrt(84) + (sqrt(84) - 6*-1*sqrt(84)))/(2*sqrt(1728) - (sqrt(108) + sqrt(108) + sqrt(108)*1)).
sqrt(7)/3
Simplify -1 + (-1*-1*sqrt(1300))**2 - ((sqrt(1300) + sqrt(1300) + -3 + -4 + sqrt(1300) - sqrt(1300)) + sqrt(1300) + -5)**2.
-10545 + 720*sqrt(13)
Simplify (-5 + (sqrt(2736) - sqrt(2736)*-2)*2 - ((sqrt(2736) - -6*sqrt(2736)*-1) + sqrt(2736) + sqrt(2736) + sqrt(2736) + 5))**2.
-1920*sqrt(19) + 175204
Simplify ((sqrt(168)/sqrt(8) + sqrt(21))/sqrt(7) + 5)**2 - (sqrt(192) + 1 - (sqrt(12)/sqrt(4))**2*-4).
12*sqrt(3) + 24
Simplify 0 + (sqrt(156)*-1*-3 - sqrt(156))/(sqrt(1200)*-1 + sqrt(12) + sqrt(12)).
-sqrt(13)/4
Simplify (-3 + (-1 + sqrt(1539))*4 + sqrt(1539) + (sqrt(1539) + -3 + 2 - sqrt(1539)))**2.
-720*sqrt(19) + 38539
Simplify (-2 + 4*sqrt(1100)*1 + 4*(sqrt(1100) - 1*sqrt(1100)) + 0)**2.
-160*sqrt(11) + 17604
Simplify (1 + -5*(-1 + sqrt(242)) + sqrt(242) + 2*sqrt(242)*3 + -3)**2.
132*sqrt(2) + 977
Simplify (1*((sqrt(792)*-2 - sqrt(792))*-5)/(-2*sqrt(50) - (sqrt(242) + -1*sqrt(242))))**2.
891
Simplify (sqrt(24) - sqrt(216)/(sqrt(63)/sqrt(7)))/(sqrt(72) + ((sqrt(72) - (sqrt(72)*-3 -
|
{
"pile_set_name": "DM Mathematics"
}
|
*4 - 3*j**2 + 2 in the form n*j**4 + m + f*j**2 + t*j + h*j**3 and give h.
1
Express -4*u + 11*u - 2*u - 3*u - 2 + 4*u**3 as j*u + s*u**3 + q*u**2 + f and give f.
-2
Express l**2 + 2*l - 3*l**2 + 2*l**3 + 5*l**4 - 4*l**4 in the form y*l**2 + o*l**3 + c*l**4 + i*l + u and give i.
2
Rearrange (-c**4 - c**4 - c**4)*(0 + 3 - 4) + 3*c**4 - 3*c**4 + 2*c**4 to n + i*c**4 + q*c**2 + x*c + l*c**3 and give i.
5
Rearrange -z + z + z**2 + (-1 + 1 + 2)*(5*z - z**2 - 5*z) + (4*z - 2*z**2 - 4*z)*(8 - 3 - 3)*(3 - 2 + 1) to the form s + p*z + i*z**2 and give i.
-9
Express 3*z**3 + 2*z**4 - 3*z**3 + 6 - 9*z**4 - 9 - 1 + (-5 + 2 + 1)*(3*z**4 + 3*z**4 - 5*z**4) in the form k*z**2 + p*z**4 + l*z + d + r*z**3 and give d.
-4
Rearrange (3 + 2*b - 3)*(-2 - 8 - 14) to the form s + c*b and give c.
-48
Express -1 + t**2 + t + 111*t**4 - 117*t**4 + 0*t**2 as n*t**2 + a*t**3 + g + l*t**4 + o*t and give n.
1
Rearrange (2 + 2*i + 3*i - i)*(2 + 2*i - 4 + 1) to x*i + v + f*i**2 and give v.
-2
Rearrange -2 + 37*g + 2 - 44*g + g**2 to the form j*g**2 + d + t*g and give t.
-7
Express 18*b**2 + 8 + 26*b**2 - 50*b**2 as q + h*b + m*b**2 and give m.
-6
Express (-18*n + 1 - 12*n - 1)*(-5*n**2 + 3*n**2 + n**2) in the form m*n**2 + v*n + o + d*n**3 and give d.
30
Rearrange 8*n**2 + 2 - 9*n**2 + 7 + 5 to s + w*n**2 + k*n and give w.
-1
Rearrange (-t - 1 + 1)*(2*t + 0*t + 0*t)*(-3*t**2 + t**2 + 5*t**2) to the form o + g*t**2 + r*t**4 + n*t**3 + m*t and give o.
0
Express (13 - 2 + 11 - 2)*(8*z - 16*z + 14*z) in the form j + n*z and give n.
120
Rearrange -w**2 - w**4 - w**4 + 4 - 1 + 3 to the form z*w**2 + f*w**4 + q*w**3 + g*w + n and give n.
6
Express 1 + 2*m + 1 - 4*m + (0 + 1 + 0)*(0*m + 2*m + m) in the form v*m + q and give q.
2
Rearrange -5*i**2 + 8*i**2 + 7*i**2 to the form a*i**2 + f*i + d and give a.
10
Express 519*r**2 - 555*r**2 - 2*r + 4 - 5 in the form j*r**2 + h*r + l and give l.
-1
Express (-4*i - 2*i + 3*i)*(-i + 6*i**3 + i) as p*i**2 + u*i**3 + x + d*i**4 + h*i and give d.
-18
Express -2*g**3 + 147*g - 5*g**4 + 4*g**4 + 3*g**3 + 1 - 148*g + g**2 as n + i*g**2 + s*g**3 + h*g + l*g**4 and give l.
-1
Express (-5*s + s + s)*(2*s**2 - 4*s + 0*s**2 - s**2) in the form f*s + z + p*s**3 + w*s**2 and give w.
12
Express 0 + 0 + l**3 + 2 + 2*l**2 as b*l**3 + v + w*l + p*l**2 and give b.
1
Express (5 - 1 - 2)*(-2*p + 1 - 1 - 7*p - p + 3*p + (-2*p - 1 + 1)*(4 + 0 - 3))*(1 + 2*p - 1) in the form m*p**2 + o*p + q and give m.
-36
Rearrange (4*q + 3*q - 5*q)*(-46*q - 26*q + 10*q) to the form g*q + n*q**2 + d and give d.
0
Express 5*m + m**3 + 4*m**3 - 4*m + 2*m in the form i + x*m**2 + u*m + v*m**3 and give v.
5
Express (2*l + l + 0*l)*(-2826 + 67*l**3 + 2826) as y*l**3 + t*l**2 + c*l + d + f*l**4 and give f.
201
Rearrange (-3*g + 2*g + 2*g + (4 - 4 - 1)*(2 - 2 - 2*g) - 2*g + 5*g - 4*g)*(-2*g**2 - 2*g**2 + 2*g**2) to the form r*g**2 + v*g + k + c*g**3 and give c.
-4
Rearrange -88*i + i**2 + 0*i**2 + 86*i + 2*i**2 to the form u*i**2 + x*i + d and give u.
3
Rearrange -1 - 36*s + 71*s - 40*s to the form x + q*s and give q.
-5
Rearrange (-6*g + 0*g + 4*g)*(4*g + 10 - 9 - 6*g + (-g + 0*g + 3*g)*(-1 + 1 + 2)) to the form z*g + h + l*g**2 and give z.
-2
Rearrange (-3*l + l**2 - 2 + 3*l)*(-1 + 11 + 5)*(1 - 3 + 0) to q*l**2 + b + n*l and give b.
60
Express (5*q**2 + 4*q**2 - 3*q**2 + (-1 - q + 1)*(q + q - q) + 2*q**2 - 4*q**2 + 5*q**2)*(-3*q + 8*q - 3*q) as m + l*q + b*q**3 + r*q**2 and give b.
16
Rearrange 30*c + 32*c - 18*c + 4*c to the form a + j*c and give j.
48
Rearrange 0 + 0 - o**3 - 3 + 3 + 3*o**3 + (-3*o + o + 4*o)*(4*o**2 + 4*o**2 - 5*o**2) - 4*o**3 + 0 - 1 + 2*o**3 to m*o**2 + s*o + x*o**3 + j and give j.
-1
Express 2*r**4 - 28*r - 3*r**2 + 2*r**2 + 30*r + 3 + 0 in the form i*r**4 + g + a*r**3 + t*r + f*r**2 and give f.
-1
Rearrange t - 2*t**3 - t + 5*t**2 + 4*t**3 to z*t**3 + o*t**2 + k*t + q and give o.
5
Express 2*k**4 + 0*k**4 + 0*k**4 + (-3*k**3 - 3*k**3 + 2*k**3)*(3*k + 4*k - 5*k) in the form p*k**3 + z + g*k**2 + s*k**4 + f*k and give s.
-6
Rearrange (-1 + 1 - v)*(-1 + 132*v + 28*v**2 - 134*v + 0) to f + m*v + o*v**3 + a*v**2 and give m.
1
Rearrange (1 + 2*p**2 + 0 + p**2 + (1 + 4 - 4)*(-2*p**2 + 2*p - 2*p))*(-6*p + 2*p + 3*p) to the form m + u*p**3 + n*p**2 + a*p and give n.
0
Express (0 + 0 + 2)*(1 - 3 + 1)*(-17*c + 14*c - 30*c) as q*c + v and give q.
66
Rearrange -2*t - 18*t**2 + 57 - 57 to the form s*t**2 + z*t + q and give z.
-2
Rearrange 89*j**2 - 12*j + 36*j**2 - 5*j + 18*j to s + r*j + g*j**2 and give g.
125
Express k**4 - 9 - 4*k**3 + 7 + 8*k**3 - 2*k**2 + 12*k - 3*k**3 in the form s*k**3 + n + h*k**4 + a*k + g*k**2 and give s.
1
Express -27*m**4 - 65*m**2 + 65*m**2 + (-m**2 - 3*m**3 + m**2)*(-2*m + 2*m - 2*m) in the form g*m**3 + y*m**2 + h + f*m + c*m**4 and give c.
-21
Rearrange 11*a + 5 - 5 + 20*a to the form k + u*a and give u.
31
Express (q**2 + 13*q**2 - 7*q**2)*(2*q + 2*q - 2*q) + (2*q**2 - q**2 - 2*q**2)*(0 - q + 0) as y + j*q**2 + g*q**3 + t*q and give g.
15
Express 23*l - 4*l + 15*l in the form y*l + n and give y.
34
Rearrange 4*v**3 + 3 - 5*v**3 + 2*v**3 - 4*v + 0*v to h + q*v**2 + a*v + l*v**3 and give q.
0
Express f**3 + 0*f**3 - 2*f**2 + 4 + 3*f**3 in the form m*f**3 + d*f + g + i*f**2 and give g.
4
Rearrange -b + 8*b - 2 - 4*b + 7*b to y*b + w and give w.
-2
Rearrange -t**3 + 0 + 8 + 2*t**2 + 0 + t to y + j*t**3 + m*t**2 + d*t and give j.
-1
Rearrange (-2 + 2*l + 1 - 3*l)*(5*l**2 - 5*l**2 + 5*l**2) to h + u*l**2 + d*l**3 + z*l and give d.
-5
Express (-3*l**2 + 4*l**2 - 3*l**2)*(-3*l - 4*l**2 - 7*l + 6*l**2) as x*l**4 + p + d*l**3 + m*l**2 + q*l and give x.
-4
Rearrange 0*i + 10*i - 10*i + 5*i to the form t + a*i and give a.
5
Express (-3*l - 4*l + 2*l)*(-11 + 2 + 14) in the form f + m*l and give m.
-25
Express -21*k**3 + 155 + 2*k**3 - 154 in the form j + n*k**3 + q*k + z*k**2 and give q.
0
Rearrange (4 - 3 - 2)*(5*x**2 + 11*x**2 - 5*x**2) + (2*x**2 + x**2 - 4*x**2)*(-3 + 2 - 1) to the form r*x + i + t*x**2 and give t.
-9
Rearrange -m + 2 + 4*m + 0*m + m - 1 + 1 + (3 + 1 - 2)*(-m - 3*m + 2*m) - 2 - 3*m + 2 to the form b*m + i and give b.
-3
Express -3*g**3 - 10*g**2 + 2*g + 4*g**2 + 8*g**2 in the form z*g + f*g**2 + m*g**3 + b and give f.
2
Rearrange 4*v**3 - 3*v - 2*v**3 - 36*v**2 + 38*v**2 - 2 to w*v + k*v**3 + u + t*v**2 and give w.
-3
Rearrange -12 - 3*u**2 + 12 to w*u**2 + m + k*u and give w.
-3
Express -10 + p**2 - 2*p**3 - 2*p**2 + 2*p**4 + p + 10 as m*p**2 + l*p**4 + f*p**3 + h*p + j and give f.
-2
Express (-20 + 2*m + 0*m + 18)*(3*m - 2*m - 4*m) in the form d + a*m**2 + v*m and give v.
6
Express (114 - 114 - 34*y)*(2*y - 3*y + 2*y) in the form k*y**2 + a*y + l and give k.
-34
Express (u + 3*u - 2*u)*((5 - 1 - 7)*(0 - 1 + 3) + (2 + 3 - 3)*(5 - 2 - 1)) as s + y*u and give y.
-4
Express (3 + 1 + 3)*(f + 3*f + 0*f) as t*f + n and give t.
28
Rearrange (2 + 13 - 3)*(4 - 3 + 0)*(v - v - 4*v) to k + y*v and give k.
0
Rearrange (3 - 2 + 0)*(-2*y - 2*y + 2*y - 4)*(0*y - y + 4*y) to the form d*y**2 + x*y + u and give d.
-6
Rearrange -6*v - v + 8*v - 7*v to the form a + y*v and give y.
-6
Rearrange -2*j + 3*j**2 + 2*j + 5*j**3 to s*j + h*j**3 + i*j**2 + r and give r.
0
Express 0*k**3 - 3*k**3 - 4*k**3 + 10*k**3 + 19*k in the form f*k**2 + d + a*k + z*k**3 and give a.
19
Express (a + 4*a - 3*a)*(a + 9*a**2 + 4*a - 10*a**2) in the form r*a + h*a**2 + g + x*a**3 and give x.
-2
Rearrange -r**4 + r**4 - 2*r**4 - 2*r - 2*r**2 to w*r**2 + g*r + d*r**3 + k*r**4 + f and give w.
-2
Express (-3*a**2 + 3*a**2 + 2*a**3)*(-a + 6*a - 2*a) - a**3 + a**4 + 2*a**3 + 2*a**2 - 3*a**3 as t + p*a + w*a**3 + i*a**2 + g*a**4 and give w.
-2
Express -3*v**3 - v**3 + 1 + 0*v**3 + 15*v**4 + 5*v**3 - 2*v**2 - v as l*v + a*v**4 + k + f*v**2 + r*v**3 and give f.
-2
Rearrange 3*a**4 - 4 + 4 + (-2 - 3 + 7)*(9*a**4 + 11*a**2 - 11*a**2) to the form y*a**2 + x*a + t*a**4 + n + i*a**3 and give t.
21
Rearrange 17*t**2 - t - 11*t**2 - 4*t**2 + 2*t**3 to z*t + u*t**3 + m*t**2 + i and give z.
-1
Rearrange (-3*u + 3*u - u + (u + u - u)*(-4 + 3 + 0))*(-3 - 23*u + 25*u + 8) to the form a*u + m + o*u**2 and give a.
-10
Rearrange 110*t - 4*t - 60*t to j*t + d and give j.
46
Express 185*k - 229*k + 160*k as i + t*k and give t.
116
Rearrange (1 - 1 + 2)*(-58 + 9*s**2 + 58) - s + 4 + 3*s**2 + 1 - 7 to
|
{
"pile_set_name": "DM Mathematics"
}
|
-d*w - 9 = 0, -4*n + 67 = -3*w - 454. List the prime factors of n.
2
Let i = 6874 - 1047. What are the prime factors of i?
5827
Let d(g) = 4*g**3 + 11*g**2 + 10*g - 9. Let u(h) = 11*h**3 + 31*h**2 + 29*h - 26. Let r(y) = 17*d(y) - 6*u(y). List the prime factors of r(4).
131
Let m be (7 - 7)/((-2)/(-1)). Suppose 3*l - 22 + 34 = m. List the prime factors of 9/18 + (-294)/l.
2, 37
Suppose -44*o + 15064232 = 114*o + 4803870. What are the prime factors of o?
7, 9277
Let y = 106501 - 62011. What are the prime factors of y?
2, 3, 5, 1483
Suppose -f + 3*f + 4*s - 15686 = 0, 7833 = f + 4*s. What are the prime factors of f?
7853
Let l(y) = -y**3 - 17*y**2 + 17*y + 62. Let m be l(-18). Suppose 5*p - 2*t - 1428 = 0, -m - 504 = -2*p + 4*t. What are the prime factors of p?
2, 71
Suppose 4*p - 3*b + 36 = 11, b = -4*p - 29. Let d(r) = -90*r + 182. What are the prime factors of d(p)?
2, 7, 29
Let p = 523 + -378. Suppose p*c = 150*c - 2300. List the prime factors of c.
2, 5, 23
Suppose -x + f - 15 = 0, 0 = 4*f + 4 + 8. Let t = -15 - x. Suppose 0 = -5*q + t*m + 166, 4*q + 3*m + 0*m - 122 = 0. List the prime factors of q.
2
Let n = 5246 + 8224. What are the prime factors of n?
2, 3, 5, 449
Let u be 15*(-3 - -6)/(-3). What are the prime factors of (-3 - 108/u)/(19/1045)?
3, 7, 11
Let r(z) = 40*z**2 - z - 4. Let k(f) = f + 0*f**2 + f**2 - 15*f + 38. Let q be k(4). List the prime factors of r(q).
2, 79
Suppose -19*v + 152539 = -152563. What are the prime factors of v?
2, 7, 31, 37
Let d = 18300 - 10758. What are the prime factors of d?
2, 3, 419
Suppose 239068 = 10*i + 49*i. Let v = i - 2586. What are the prime factors of v?
2, 733
Suppose 63917 + 50067 = 16*u. What are the prime factors of u?
2, 13, 137
Suppose 2*o - 5*v - 48955 = 0, -4152*v = o - 4156*v - 24491. What are the prime factors of o?
5, 67, 73
Let n be (72/(-20))/(2/(-225)). Let m = n - 20. List the prime factors of m.
5, 7, 11
Let o(q) = 473*q**2 + 493*q + 3. List the prime factors of o(-5).
3, 3121
Suppose -72*u - 100449 = -80*u + 17847. List the prime factors of u.
3, 31, 53
Let q = 508 - -723. Suppose -q = -3*x + 233. What are the prime factors of x?
2, 61
Suppose 26*j = j + 14750. Let p = j - 405. What are the prime factors of p?
5, 37
Let t be 171 - (6/(-2))/(5 - 2). Suppose -264 = 171*q - t*q. List the prime factors of q.
2, 3, 11
Suppose 3*h = 6*t + 9063, -4*h + 1862 = 3*t - 10266. List the prime factors of h.
13, 233
Let a(w) = -14*w + 12. Suppose -3*p - 3*f = -6*p - 45, -4*f = 12. Let b be a(p). Let t = -163 + b. What are the prime factors of t?
101
Let n(u) = -5*u - 1. Let f = 61 - 62. Let p be n(f). Suppose 3*w + t - 507 = -2*w, 0 = 2*w + p*t - 192. List the prime factors of w.
2, 3, 17
Let d(m) = -3896*m**3 + m**2 + 21*m + 36. List the prime factors of d(-2).
2, 15583
Suppose -o = -7*b + 31817, -b + 12*o + 4541 = 14*o. What are the prime factors of b?
3, 5, 101
What are the prime factors of 40186 + (22 - 1) - 6/(-2)?
2, 5, 4021
Let u = -69 - -69. Suppose u = 3*d - 2*t - 0 + 3, 4*d + 5 = 3*t. List the prime factors of 58*2/8*8/d.
2, 29
Suppose -8*v + 99200 = 8*v. Suppose -46*w + v = -36*w. What are the prime factors of w?
2, 5, 31
Let b = -230 - -636. Let t = b - -362. What are the prime factors of t?
2, 3
Suppose 0*g + 1915 = -4*u - g, 4*g = u + 483. Let z = -294 - u. What are the prime factors of z?
5, 37
Let j = 37671 - 22433. List the prime factors of j.
2, 19, 401
Suppose 41 = 3*q + 2*a, 4*q - a + 27 = 6*q. Suppose 4912 = q*s - 5059. List the prime factors of s.
13, 59
Suppose 96 = 4*f + 8*f. Suppose 23*t - 15*t - f = 0. List the prime factors of ((-196)/(-1) + -5)/t.
191
What are the prime factors of 9/(-81)*-30*(4 + 1319)?
2, 3, 5, 7
Suppose -409 = 3*m + 14. Suppose 4*k - 980 = 28. Let o = k + m. List the prime factors of o.
3, 37
Let g be (-6 + 156/30)*-10. Suppose 15*y = g*y + 1785. What are the prime factors of y?
3, 5, 17
Suppose 2*g + 4*v = -4163 + 20533, -4*v = 3*g - 24561. What are the prime factors of g?
8191
Let g(u) = -9*u**2 - 9*u + 14. Let z be g(5). Let v = 396 - z. What are the prime factors of v?
2, 163
Let n be 8/10 + (-336)/(-105). Suppose 3030 - 658 = n*c. List the prime factors of c.
593
Suppose -f - 5 + 15 = 0. What are the prime factors of (0 - 3)/((420/(-6706))/f)?
479
Let g be 10 - (3 + 10) - 8/(-1). Suppose -3*w + 6*o - 10*o = -2118, g*w - 2*o - 3556 = 0. List the prime factors of w.
2, 5, 71
Let a(d) = d**2 - 14*d + 90. Let n = 60 + -55. What are the prime factors of a(n)?
3, 5
Let b(l) = -7*l - 10. Let w = 22 - 7. Suppose 16*q - 11*q + w = 0. What are the prime factors of b(q)?
11
Let h(o) = 159*o**2 + 1. Suppose 43*z - 2 = 42*z. Suppose -3*s - 2*u - 5 = 0, -z*u - u = 4*s + 7. List the prime factors of h(s).
2, 5
Suppose -12 = -4*u, 11 = 2*q + u + 2*u. What are the prime factors of q/(-6 + 3801/633)?
211
Suppose -q - 25 = -4*t + 4*q, 2*q + 10 = 0. Suppose -3*u + t*n - 346 = -2*n, 0 = 2*u + 3*n + 222. Let v = 192 + u. List the prime factors of v.
2, 3, 13
Let u be (-2)/(93/99 - 1). Let j = u + -30. Suppose j*y = 5*y - 226. List the prime factors of y.
113
List the prime factors of 14*(-16855)/(-110) - 16/88.
3, 5, 11, 13
Let j(u) = 15*u**2 - 4*u + 660. What are the prime factors of j(-18)?
2, 3, 233
Suppose -2*k + 12147 - 3622 = -13761. What are the prime factors of k?
11, 1013
Let b be 4/(-5)*(-1 + 17/2). Let p(c) = -c**2 - 11*c - 30. Let t be p(b). Suppose t = 2*u - 5*k - 295, -2*k + 400 + 90 = 3*u. List the prime factors of u.
2, 5
Let a(d) = d**3 - d**2 - d - 3. Let i be a(-4). Suppose 3*p - f + 6*f + 519 = 0, 543 = -3*p + 3*f. Let z = i - p. What are the prime factors of z?
3, 11
Let d(u) = -32*u**2 - 7*u + 27*u**2 + 18*u**2 - 15 - u**3. What are the prime factors of d(10)?
5, 43
Suppose 0 = -11*n + 6*n + 20. Let x be 1/2*3/24*0. Suppose n*t - 2*t - 42 = x. List the prime factors of t.
3, 7
Suppose -2*b + 1352 = 4*z, -5*b + 3*z = 8*z - 3395. Let j = 1201 - b. List the prime factors of j.
3, 173
Suppose 5*j - 157 = b, 9*b = 4*j + 5*b - 132. What are the prime factors of ((-34)/(-6))/(j/1674)?
2, 3, 17
Suppose w = 0, -4*w + 25 = 4*n + 49. List the prime factors of n*(-5)/(-255) + 22854/51.
2, 7
What are the prime factors of (168/(-924))/((-2)/183986) + (0 - -5)?
3, 11, 13
Suppose 0 = 3*u - 272*w + 268*w - 114438, -u + 38114 = 4*w. What are the prime factors of u?
2, 19069
Suppose 5*c - 27 = 4*q, 2*q + 4*c = 1 + 5. Let i = q + -4. What are the prime factors of (-7 + i)*(30/(-4) - -1)?
7, 13
Let d be (-9 + 1427)*(-3)/(-6). Let z = -237 + d. Suppose -z = -4*h - 4*h. List the prime factors of h.
59
Suppose 3*q - 12 = 9. Suppose q*m - 2*m - 4*v = 900, 5*v = -2*m + 393. List the prime factors of m.
2, 23
Let o be (-8)/((-40)/25) + 474. Let v = 527 - o. What are the prime factors of v?
2, 3
Let p(z) = -8*z + 74. Let i be (63/(-45) - 4/(-10))*10. What are the prime factors of p(i)?
2, 7, 11
Let u be -1 + -1 + 1456 + 56/(-8). Let c = u - 635. What are the prime factors of c?
2, 7, 29
Suppose 183594 = 119*f - 113*f. List the prime factors of f.
37, 827
Let i(c) = -5*c**3 + 3*c + 1. Let o be i(-2). Suppose -2*t + o = -19. Suppose 0 = 2*z + t - 169. List the prime factors of z.
71
Suppose 6*y - 46 = -16. Suppose 18 = y*a - 27. What are the prime factors of a?
3
Suppose 5*d - 133 = m - 51, -5*d = -5*m - 370. Let b = 48 + m. What are the prime factors of (0 - -25)/(1 - (-18)/b)?
2, 5
What are the prime factors of (-52675)/(-645)*(2 - 0 - -7)?
3, 5, 7
Let u(w) = 155*w**2 + 33*w - 18. List the prime factors of u(-19).
2, 5, 5531
Let t = 7 - 12. Suppose 0 = -5*c + 2*x + 6, 2*x + 2 = -3*c + 6*x. What are the prime factors of (t - -35)*(c/3 - 0)?
2, 5
Let b = 181 + -72. Suppose 104 - 308 = 4*w. Let k = w + b. List the prime factors of k.
2, 29
Let r = -12 - -1013. Suppose d - 4*y = r, -3*y - 5975 = -5*d - 919. What are the prime factors of d?
1013
Suppose 0 = -2*b + 3*c - 51 - 441, -5*b - 1180 = 5*c. Let f be 1/2 + 22/(-4). What are the prime factors of b/f - (-2)/1?
2, 5
Let p be (-6)/(-9)*15/(-1). Suppose 23 + 49 = 3*c. List the prime factors of ((2 - -1) + -8)*c/p.
2, 3
Let m = 12044 + -2912. List the prime factors of m.
2, 3, 761
Suppose -2*k = -7*y + 338363, 4*y - 102862 = -3*k + 90509. List the prime factors of y.
3, 41, 131
Suppose 31 = -27*t + 85. What are the pr
|
{
"pile_set_name": "DM Mathematics"
}
|
0?
-12, -1, 525
Factor -5*w**2 - 46065*w + 46070.
-5*(w - 1)*(w + 9214)
Factor 7*v**3 - 656*v**2 + 10900*v + 3168.
(v - 72)*(v - 22)*(7*v + 2)
Solve 4*k**4 + 284*k**3 - 10428*k**2 + 67140*k + 178200 = 0 for k.
-99, -2, 15
Solve -1296*x**3 - 9710784*x**2 + 1078988*x - 29972 = 0 for x.
-7493, 1/18
Factor -104*y**3/9 + 4396*y**2/9 - 15680*y/3 + 1372.
-4*(y - 21)**2*(26*y - 7)/9
Determine w so that 4*w**4 + 43994*w**3 - 286082*w**2 + 528222*w - 198090 = 0.
-11005, 1/2, 3
Determine v so that -2*v**3/7 - 76277*v**2/7 - 38137*v/7 + 38138/7 = 0.
-38138, -1, 1/2
Solve -5*m**3 + 172075*m**2 - 172060*m - 344140 = 0.
-1, 2, 34414
Let 3*b**2 + 22638*b - 158613 = 0. Calculate b.
-7553, 7
Factor 320*y**5 + 2160*y**4 + 5325*y**3 + 5710*y**2 + 2460*y + 360.
5*(y + 2)**3*(8*y + 3)**2
Solve o**2/5 - 106282*o/5 + 318837/5 = 0 for o.
3, 106279
Find c such that -c**2/3 - 16488*c - 203890608 = 0.
-24732
Factor -2*v**2 + 344*v - 10742.
-2*(v - 131)*(v - 41)
Find n, given that -16*n**4 - 5316*n**3 - 42500*n**2 + 86712*n - 38880 = 0.
-324, -10, 3/4, 1
Let p**4/2 - 4575*p**3/2 - 36651*p**2/2 - 59573*p/2 - 13749 = 0. What is p?
-6, -1, 4583
Factor 4*d**3/9 + 2536*d**2/9 + 836*d/3 - 1688.
4*(d - 2)*(d + 3)*(d + 633)/9
Find g, given that -g**3/2 + 163*g**2/6 - 229*g + 220/3 = 0.
1/3, 10, 44
Determine f so that 9*f**5/2 - 168*f**4 + 2571*f**3/2 + 1104*f**2 - 1290*f - 936 = 0.
-1, -2/3, 1, 12, 26
Find o such that o**5 + 865*o**4 - 3472*o**3 + 3476*o**2 = 0.
-869, 0, 2
Find r, given that 4*r**2 + 2861800*r + 511868702500 = 0.
-357725
Determine y, given that 201*y**2/2 - 594*y - 54 = 0.
-6/67, 6
Factor -8*s**4 + 96056*s**3 - 288528146*s**2 + 1152960168*s - 1152576072.
-2*(s - 2)**2*(2*s - 12003)**2
Determine i, given that i**4 + 206*i**3 + 1151*i**2 - 9734*i + 13200 = 0.
-200, -11, 2, 3
Determine l, given that 4*l**4 - 1116000*l**3 + 77839883992*l**2 + 155683116000*l + 77842116004 = 0.
-1, 139501
Factor -i**3/2 - 496*i**2 + 1987*i/2 - 497.
-(i - 1)**2*(i + 994)/2
Factor -2*b**3 - 324*b**2 - 12450*b - 140000.
-2*(b + 25)**2*(b + 112)
Factor o**3/4 + 67*o**2/4 - 410*o + 2175.
(o - 10)**2*(o + 87)/4
Factor k**4/4 + 53*k**3/4 + 897*k**2/4 + 5239*k/4 + 2197/2.
(k + 1)*(k + 13)**2*(k + 26)/4
Determine b, given that 3*b**4 - 11715*b**3 + 35118*b**2 = 0.
0, 3, 3902
Determine a, given that 6*a**5/13 - 146*a**4/13 - 658*a**3/13 + 90*a**2 + 188*a/13 - 560/13 = 0.
-5, -2/3, 1, 28
Find r such that -4*r**3 + 18628*r**2 + 93296*r - 261072 = 0.
-7, 2, 4662
Factor 2*b**3/13 + 188*b**2/13 - 1618*b/13 + 1428/13.
2*(b - 7)*(b - 1)*(b + 102)/13
Determine d so that 3*d**4 + 201*d**3 + 1689*d**2 - 1785*d - 33516 = 0.
-57, -7, 4
Factor r**3/5 + 168*r**2/5 - 26895*r + 13125086/5.
(r - 163)**2*(r + 494)/5
Solve -2*z**4/9 + 10270*z**3/9 + 10274*z**2/3 + 30826*z/9 + 10276/9 = 0.
-1, 5138
Factor i**2/6 - 68371*i/6 + 45578.
(i - 68367)*(i - 4)/6
Factor 3*x**5 - 273*x**4 - 891*x**3 + 4281*x**2 - 4812*x + 1692.
3*(x - 94)*(x - 1)**3*(x + 6)
Let 5*u**4 - 7955*u**3/6 + 575885*u**2/6 - 1047900*u + 171990 = 0. Calculate u.
1/6, 13, 126
Factor 4785*p**2 + 19131*p - 36.
3*(p + 4)*(1595*p - 3)
Let -2*b**5/15 + 38*b**4/5 - 2104*b**3/15 + 11624*b**2/15 + 6176*b/5 - 5632/3 = 0. What is b?
-2, 1, 16, 20, 22
Factor -15*g**2 - 1705280*g + 1136860.
-5*(g + 113686)*(3*g - 2)
Factor -s**4/10 + 61291*s**3/5 - 245161*s**2/10 + 12258*s.
-s*(s - 122580)*(s - 1)**2/10
Factor 2*o**2 - 792*o + 5446.
2*(o - 389)*(o - 7)
What is l in l**4/2 + 9*l**3 - 67*l**2/2 - 36*l + 126 = 0?
-21, -2, 2, 3
Let -2*x**5 + 3480*x**4 - 1524172*x**3 + 8995992*x**2 + 10523646*x = 0. Calculate x.
-1, 0, 7, 867
What is c in -c**3/2 + 17*c**2 - 112*c + 208 = 0?
4, 26
Factor 2*k**4 + 868*k**3 - 7046*k**2 + 11480*k - 5304.
2*(k - 6)*(k - 1)**2*(k + 442)
Factor 27*q**2/2 + 1578*q - 5040.
3*(q + 120)*(9*q - 28)/2
Factor -6*y**3 - 633*y**2 - 2739*y - 1212.
-3*(y + 4)*(y + 101)*(2*y + 1)
Factor -4*s**5 + 96*s**4 - 344*s**3 + 496*s**2 - 324*s + 80.
-4*(s - 20)*(s - 1)**4
Determine g, given that g**4/3 - 2324*g**3/3 + 4637*g**2/3 + 16250*g/3 + 3096 = 0.
-1, 4, 2322
Solve -15*k**3/2 + 235*k**2/4 + 140*k + 295/4 = 0.
-1, 59/6
Solve 4*r**2/7 + 1656*r/7 + 119412/7 = 0.
-321, -93
Find i such that -i**3/4 + 413*i**2/4 + 1479*i/2 - 1890 = 0.
-9, 2, 420
Determine o, given that -2*o**4/5 + 26*o**3/5 - 14*o**2/5 - 114*o/5 - 72/5 = 0.
-1, 3, 12
Find s, given that -72*s**2 - 23826*s + 19905 = 0.
-1327/4, 5/6
Let 4*r**2 - 71952*r - 71956 = 0. What is r?
-1, 17989
Let -3*q**2/4 + 489*q/2 - 65007/4 = 0. Calculate q.
93, 233
Factor s**4 + 657*s**3.
s**3*(s + 657)
Let -c**3/2 + 3*c**2/2 + 45*c/2 + 81/2 = 0. Calculate c.
-3, 9
Factor 2*k**3 + 115*k**2 - 2016*k - 7029.
(k + 3)*(k + 71)*(2*k - 33)
Factor 2*m**2/5 - 24822*m/5 + 74448/5.
2*(m - 12408)*(m - 3)/5
Factor 4*r**4 + 648*r**3 + 6740*r**2 + 14352*r - 21744.
4*(r - 1)*(r + 6)**2*(r + 151)
Suppose -3*t**5 - 3123*t**4 + 56946*t**3 - 254214*t**2 - 56943*t + 257337 = 0. What is t?
-1059, -1, 1, 9
Factor 2*m**4 - 1740*m**3 - 32*m**2 + 27840*m.
2*m*(m - 870)*(m - 4)*(m + 4)
Determine h, given that -h**5/7 + 346*h**4/7 + 13014*h**3/7 + 17440*h**2 + 84779*h/7 - 220218/7 = 0.
-17, -2, 1, 381
Factor -3*x**2 + 490*x - 163.
-(x - 163)*(3*x - 1)
Suppose -2*h**3/9 - 74056*h**2/9 + 148166*h - 666828 = 0. Calculate h.
-37046, 9
Let -3*y**3 - 6570*y**2 + 6573*y = 0. What is y?
-2191, 0, 1
Suppose i**3 - 683*i**2 - 1370*i = 0. What is i?
-2, 0, 685
Let 6265009*w**2 + 20024*w + 16 = 0. What is w?
-4/2503
Find o, given that 4*o**2 + 1668*o - 10152 = 0.
-423, 6
Solve -3*c**4/5 + 2445*c**3 - 231297*c**2/5 + 425931*c/5 - 206856/5 = 0 for c.
1, 17, 4056
Factor 2*k**3/9 + 26*k**2/3 - 722*k/9 + 470/3.
2*(k - 5)*(k - 3)*(k + 47)/9
What is z in 3*z**4/5 + 129*z**3/5 - 858*z**2/5 + 1176*z/5 = 0?
-49, 0, 2, 4
Suppose 16*q**3/5 - 9622*q**2/5 + 6462*q - 10764/5 = 0. Calculate q.
3/8, 3, 598
Factor -c**3/3 - 35*c**2/3 - 362*c/3 - 952/3.
-(c + 4)*(c + 14)*(c + 17)/3
Factor -3*u**3/7 - 984*u**2/7 - 53295*u/7 + 4825722/7.
-3*(u - 46)*(u + 187)**2/7
What is l in 4*l**2 + 1653328*l + 170843342224 = 0?
-206666
Solve v**3/3 - 1429*v**2/3 - 955*v + 1431 = 0 for v.
-3, 1, 1431
Let 2*m**2/7 - 1326*m/7 + 20704/7 = 0. Calculate m.
16, 647
Factor 11*u**3/3 + 193*u**2/3 - 261*u + 105.
(u - 3)*(u + 21)*(11*u - 5)/3
Factor 2*v**3 - 18280*v**2 - 2*v + 18280.
2*(v - 9140)*(v - 1)*(v + 1)
Let -3*s**4 + 579*s**3 - 7164*s**2 - 2315316*s + 2321904 = 0. What is s?
-52, 1, 122
Suppose 3*g**2/4 - 78042*g + 2030184588 = 0. What is g?
52028
Factor -3*q**2 - 38628*q + 38631.
-3*(q - 1)*(q + 12877)
Determine z so that -4*z**4 - 206*z**3 + 6456*z**2 - 15016*z + 5920 = 0.
-74, 1/2, 2, 20
Let -9410*s**3 + 9425*s**2 - 15*s = 0. What is s?
0, 3/1882, 1
Factor -4*k**4 - 1132*k**3 + 4*k**2 + 1132*k.
-4*k*(k - 1)*(k + 1)*(k + 283)
Let p**4 + 56602*p**3 + 801003200*p**2 + 1601780000*p = 0. What is p?
-28300, -2, 0
Factor 2*u**3/7 + 1178*u**2/7 + 1172*u/7 - 336.
2*(u - 1)*(u + 2)*(u + 588)/7
Determine x, given that 190*x**5/11 - 52*x**4 - 1894*x**3/11 + 20*x**2/11 = 0.
-2, 0, 1/95, 5
Let 882*x**5 + 598822*x**4 - 637822*x**3 + 12282*x**2 + 28556*x - 2720 = 0. What is x?
-680, -2/9, 1/7, 1
What is z in 2*z**4 - 858*z**3 - 18684*z**2 - 96920*z - 126000 = 0?
-14, -5, -2, 450
Let 2*v**3/13 + 68550*v**2/13 + 587422086*v/13 + 587353538/13 = 0. Calculate v.
-17137, -1
Solve -i**4/7 + 1208*i**3/7 - 371992*i**2/7 + 4334304*i/7 - 12873744/7 = 0.
6, 598
Factor 2*p**4/5 + 34*p**3/5 - 452*p**2/5 + 416*p/5.
2*p*(p - 8)*(p - 1)*(p + 26)/5
Let -2*u**2/11 - 112*u/11 - 1550/11 = 0. What is u?
-31, -25
Factor 224*a**4 + 7932*a**3 + 22452*a**2 + 22004*a + 7260.
4*(a + 1)**3*(56*a + 1815)
Let 2*g**5/5 - 139*g**4/5 - 1003*g**3/5 + 1088*g**2/5 + 796*g - 2128/5 = 0. Calculate g.
-7, -2, 1/2, 2, 76
Let 2*j**3/5 - 644*j**2/5 + 6128*j/5 + 34944/5 = 0. Calculate j.
-4, 14, 312
Factor 3*i**4 - 8370*i**3 + 25089*i**2 - 16722*i.
3*i*(i - 2787)*(i - 2)*(i - 1)
Factor -16*k**2 + 63972*k - 15992.
-4*(k - 3998)*(4*k - 1)
What is z in z**5/6 + 31*z**4/6 + 305*z**3/6 + 1025*z**2/6 + 209*z + 84 = 0?
-14, -12, -3, -1
Determine h, given that -2*h**3/3 + 574072*h**2/3 - 2296264*h/3 + 2296256/3 = 0.
2, 287032
Solve 98*v**3/11 - 5882*v**2/11 + 120*v/11 = 0.
0, 1/49, 60
What is n in -2*n**3/9 - 232*n**2/9 + 320*n/3 = 0?
-120, 0, 4
Supp
|
{
"pile_set_name": "DM Mathematics"
}
|
rt(55) - sqrt(55)*1*-2))/(sqrt(35)/sqrt(112)) - ((3 + 3*sqrt(99))**2 + -5).
-895 - 38*sqrt(11)
Simplify ((sqrt(396) + sqrt(396)*2)/sqrt(11) - sqrt(396)/(-2*sqrt(11)))/(sqrt(96)/(sqrt(392)*-5 - sqrt(8) - sqrt(8))).
-259*sqrt(3)/2
Simplify (2*(sqrt(2940) - sqrt(60)))/(1*sqrt(1200)) + (sqrt(50) + (-3*sqrt(50)*-2 - sqrt(50)))/(sqrt(10) + ((sqrt(60)/sqrt(3) + sqrt(20))/sqrt(2) - sqrt(10))).
21*sqrt(5)/5
Simplify ((5*(2*sqrt(68) + 4))**2 - ((1*sqrt(68) + -3)*-4)**2)*-6 + -4.
-35812 - 5952*sqrt(17)
Simplify 5 + (-5*3*4*sqrt(12) - (1 + sqrt(12)*-1)**2*-2).
-128*sqrt(3) + 31
Simplify ((-2 + sqrt(1539) + 4 + (sqrt(1539) - 3*sqrt(1539)))*-3 - (1 + (sqrt(1539) - (sqrt(1539) + sqrt(1539) + 2)*-1)*4))**2.
2430*sqrt(19) + 124884
Simplify (sqrt(42) + (sqrt(504)*-2)/sqrt(12))/(sqrt(486) + sqrt(486)*-2 + sqrt(486) + sqrt(486)) - (-4 + (sqrt(14)/sqrt(2) + 4)*4).
-12 - 37*sqrt(7)/9
Simplify 1 + sqrt(13) + ((sqrt(91)*-4 - sqrt(91))/sqrt(7))**2 + 3 + (4 + 1 + sqrt(1300) + 2)**2.
141*sqrt(13) + 1678
Simplify 0 + -1*(6*(sqrt(171)*1 - sqrt(171)) + (sqrt(171) - (sqrt(171) - (2*sqrt(171) + sqrt(171))))*-3)/(sqrt(27)/(-3*-3*sqrt(3))).
81*sqrt(19)
Simplify ((3 + sqrt(475)*2)*-1 - ((sqrt(76) - (-1 + sqrt(76))) + -2 + -4))**2*-1.
-1904 + 40*sqrt(19)
Simplify 2*((1 + sqrt(637) + 0)**2 + sqrt(637) + 5 + -1*sqrt(637) + 3 + (3 + sqrt(637) + 0)**2)*4.
448*sqrt(13) + 10336
Simplify 1 + (3*(sqrt(144)*2*2 + sqrt(144)))/((-3*sqrt(192) - sqrt(192))*2).
-15*sqrt(3)/16 + 1
Simplify -4 + ((sqrt(42)/(-2*sqrt(7)) + (sqrt(6) - ((sqrt(6) + sqrt(6)*1)*-2 + sqrt(6) - sqrt(6))))/(5*(sqrt(90)/sqrt(6))/sqrt(5)))**2.
-119/50
Simplify ((6*-1*sqrt(272) + 0 + sqrt(272)*-2 - (sqrt(272) + -3)*6*4) + -4)**2.
-17408*sqrt(17) + 283152
Simplify sqrt(44)/sqrt(4) + -3 + (sqrt(11) + sqrt(11) + (1 + sqrt(539) - sqrt(539)))**2 + -1 + sqrt(1331) + 0 - (4 + -4*(1 + sqrt(44) + -3)**2).
-16*sqrt(11) + 229
Simplify ((sqrt(70) - ((sqrt(70)*-1 + sqrt(70))*3 + sqrt(70)))/sqrt(7))/(6*3*sqrt(5)*-2) + 1.
1
Simplify 5*((2*((sqrt(117) + -1)*2 - sqrt(117)))**2 - ((4 + (sqrt(117) + 2 + sqrt(117) - sqrt(117)) - sqrt(117)) + -3)).
-240*sqrt(13) + 2405
Simplify (1*-1*-2*2*(sqrt(475) + -1 + 4))**2*1 + 4.
480*sqrt(19) + 7748
Simplify (((sqrt(15) + sqrt(135))*1 - (sqrt(1815) - sqrt(1815)*-1))/(3*(sqrt(21)*-2 + sqrt(21))/sqrt(7)) + -5)**2.
-60*sqrt(5) + 205
Simplify -6*(((2*sqrt(66))/sqrt(3))/sqrt(11) + -1 + ((1 + sqrt(18))**2 - (sqrt(2) + -5)*1)).
-138 - 42*sqrt(2)
Simplify (0 + 1*sqrt(180) - (sqrt(180) + sqrt(180)*-1 + -2) - (5 + (sqrt(180) + 2 + 1)**2)) + 0.
-192 - 30*sqrt(5)
Simplify (6*((2*sqrt(468)*-5 - (-2*sqrt(468) + sqrt(468) + -1)) + 0 + (sqrt(468) - (sqrt(468)*1 + 2))))**2.
3888*sqrt(13) + 1364724
Simplify (sqrt(7) + sqrt(448) + -3 - sqrt(168)/sqrt(6))**2 + (sqrt(168)/(sqrt(12)/sqrt(2)))/((sqrt(44) + sqrt(88)/sqrt(2))/sqrt(11)).
-83*sqrt(7)/2 + 352
Simplify ((sqrt(38) - (sqrt(38) + 4*sqrt(190)/sqrt(5)))*2)/(2*(sqrt(2) + sqrt(2) + (sqrt(2) + sqrt(24)/(sqrt(12)*-3) - sqrt(2))))*-5.
12*sqrt(19)
Simplify (((sqrt(143) + ((sqrt(143)*2 - sqrt(143)) + sqrt(143))*-2)*2*5)/(5*sqrt(275)*-2*-1)*-1*-6)**2.
4212/25
Simplify (-2*sqrt(84)*2*3)/(-4*-4*sqrt(432)).
-sqrt(7)/8
Simplify (sqrt(1440)*1)/(sqrt(72)/sqrt(4)) + 2 - ((-1*sqrt(720))**2*4 - ((-2*sqrt(5)*-1)**2 + (sqrt(55)/(sqrt(22)/sqrt(2)))**2)).
-2853 + 4*sqrt(5)
Simplify (2*(-3 + 2*(1*sqrt(1728) + -2 - (2*(-1*sqrt(1728) + sqrt(1728)) - sqrt(1728))) + -2))**2.
-6912*sqrt(3) + 110916
Simplify (-4*(sqrt(88)/sqrt(200) - (2*sqrt(891) + 1)))**2.
2848*sqrt(11)/5 + 1394496/25
Simplify (2 + 1 + sqrt(242) - (sqrt(242) - (-5 + sqrt(242)*1)))**2 + (-5 + 2 + sqrt(242))*-1 + 0 + 4.
-55*sqrt(2) + 253
Simplify (-4 + (-5 + sqrt(147) + -1)**2 + 2 + 0)*3.
-252*sqrt(3) + 543
Simplify ((sqrt(14)/(sqrt(2) + -2*sqrt(2)))**2 + 4 + sqrt(28) - (sqrt(28)/sqrt(4)*-1 + sqrt(7))*-6) + -2.
2*sqrt(7) + 9
Simplify ((2*sqrt(180) + -5 + sqrt(180) + -2 + (sqrt(180) - sqrt(180)*2) + 5*(0 + 0 + sqrt(180)))**2 + -1)*2.
-1176*sqrt(5) + 17736
Simplify -1*(((-3*((sqrt(91) - (sqrt(91) - (sqrt(91) + (sqrt(91) - sqrt(91)*-1)) - sqrt(91))) + sqrt(91))*-6)/(-5*-1*sqrt(7)*1))**2 + 4 + 4).
-4220
Simplify ((sqrt(6655) - (sqrt(6655) + 1*sqrt(6655)))*3 - sqrt(6655))/((sqrt(5) + sqrt(10)/sqrt(2))*-4 + (sqrt(5) - sqrt(125)*-2 - sqrt(5) - sqrt(5))) + 1.
-44*sqrt(11) + 1
Simplify (5 + -6*3*sqrt(112)*4 - (sqrt(112) + sqrt(112)*-5 + -5 + ((5*sqrt(112) + sqrt(112))*1 - sqrt(112))))**2.
-5840*sqrt(7) + 596948
Simplify (-2 + (2*(sqrt(11) - (sqrt(539)*-1 + sqrt(539)) - (5*sqrt(33)/sqrt(3) + sqrt(11))) - (1 + -2*sqrt(11)*3)*3))**2.
-80*sqrt(11) + 729
Simplify ((-5*sqrt(56))/sqrt(7)*1*6)/(3*sqrt(4)*3 - sqrt(36)/(sqrt(63)/sqrt(7))).
-15*sqrt(2)/4
Simplify (((sqrt(162) - (sqrt(162) + -1 + sqrt(162) + sqrt(162))) + 2 + (sqrt(162) - (2 + sqrt(162)*-1)))**2 - ((1 + sqrt(2))*2 + 3*sqrt(2) + 4)**2) + 5.
-60*sqrt(2) - 80
Simplify 2 + (sqrt(20)/(sqrt(36)/sqrt(9)) + (3*sqrt(20) + sqrt(20))**2 - (-1 + ((sqrt(495)*1)/sqrt(9))/sqrt(11))).
323
Simplify (5 + ((-3*(sqrt(448) - (sqrt(448) + -4 + sqrt(448) - sqrt(448))))**2 - (1 + 4*sqrt(448)))*-3)*6.
-2544 + 576*sqrt(7)
Simplify 3*-3*(sqrt(76) + (sqrt(76)*1*5)**2 + -4 - (3*(sqrt(76) + -1)*5)**2)*6.
-48708*sqrt(19) + 833166
Simplify (-4 + (-6*-3*sqrt(2057) - (sqrt(2057) - (sqrt(2057) + (sqrt(2057) + 0 + sqrt(2057))*5)) - (1 + 6*-4*(1 + sqrt(2057)))))**2.
21736*sqrt(17) + 5562489
Simplify (((sqrt(99) - 1*sqrt(99)*1 - sqrt(99)) + (sqrt(99)*2 + sqrt(99) + sqrt(99) + sqrt(99))*-1)*3)/((sqrt(36) - sqrt(144)/(sqrt(4)*-1))/(sqrt(256)*-2)).
144*sqrt(11)
Simplify 0 + (3*(-2*-2*sqrt(243) - (sqrt(243) + (sqrt(243) - (sqrt(243) + (4 + sqrt(243) + -1 - sqrt(243)))))) + -3 + 5)**2.
1782*sqrt(3) + 19804
Simplify (-4*-1*sqrt(119) + (3*sqrt(119) + sqrt(119) - sqrt(119))*-2)/(1*sqrt(175) + sqrt(686)/sqrt(2))*-4.
2*sqrt(17)/3
Simplify (5*(sqrt(208) + 3*-2*sqrt(208) - sqrt(208)))/(sqrt(2916)*2) + 0 + 3.
-10*sqrt(13)/9 + 3
Simplify (sqrt(300)*-1*1 + 6*1*sqrt(300))/(-2*-1*(sqrt(6) - (sqrt(66) + sqrt(66)*-2 + sqrt(66))/sqrt(11))).
25*sqrt(2)/2
Simplify (sqrt(170) + sqrt(170)*2*3 - (-2*sqrt(170) - sqrt(170))*3)/((-2*sqrt(1620))/sqrt(2)).
-8*sqrt(17)/9
Simplify (4*1*sqrt(1375) + -2*sqrt(1375)*1)/(-2*(sqrt(20)/sqrt(64) + sqrt(45)/sqrt(144))).
-10*sqrt(11)
Simplify ((-5*(sqrt(1100) + sqrt(1100)*3 + sqrt(1100))*1 + 1 - (6*(sqrt(1100) + -1)*3 + -2))*3)**2.
-162540*sqrt(11) + 18309069
Simplify (0 + (sqrt(21)/sqrt(3) + -1)*-1 + sqrt(42)/(-2*sqrt(6))*-4 + 5)**2.
12*sqrt(7) + 43
Simplify -2*(0 + ((sqrt(612)*2 + 1 + -5 - (-1 + sqrt(612)*-1 - ((1*sqrt(612) - sqrt(612)) + -2)))*-3)**2).
-99594 + 3240*sqrt(17)
Simplify 3 + (-1 + -5*(((sqrt(300) + -1)**2*6 - sqrt(300)) + (sqrt(300) + 0 + sqrt(300) + -2 + sqrt(300) - sqrt(300))**2))*-4*4.
-16800*sqrt(3) + 240819
Simplify (-3*sqrt(190)*-5 - sqrt(190)*-2*6)/(sqrt(640) + sqrt(640) + (sqrt(640) - 1*(sqrt(640)*-2 - sqrt(640))) + -1*sqrt(640)*-2 + sqrt(640) + sqrt(640)) + 3.
27*sqrt(19)/80 + 3
Simplify (2*-2*(2*sqrt(85)*2 - ((sqrt(85) - sqrt(85)*-2)*3 + sqrt(85))))/(((sqrt(100)*-2)/sqrt(10))/(sqrt(128)*3)).
-288*sqrt(17)
Simplify (-1*sqrt(720)*-3 + (3*sqrt(720) - sqrt(720))*3 - 5*6*3*sqrt(720))**2.
4723920
Simplify ((sqrt(3520)*-1*2 + 4*(sqrt(3520) + 2*sqrt(3520) + sqrt(3520)))/((sqrt(280)/(sqrt(8) - (sqrt(8) + sqrt(32)/sqrt(4))))/sqrt(7) - 6*1*sqrt(245)))**2.
137984/1849
Simplify (-1*(4 + 1 + sqrt(98) + sqrt(98) + (sqrt(98) - (sqrt(98) + (sqrt(98) - -2*sqrt(98)) - sqrt(98))*-4)))**2 - ((sqrt(98) + 4*sqrt(98))*1*-2 + 4).
1120*sqrt(2) + 22071
Simplify (sqrt(52) + (1*sqrt(416))/sqrt(8) - sqrt(3328)*3)/(-1*((1*sqrt(100) - sqrt(100)) + sqrt(100))*1).
22*sqrt(13)/5
Simplify (6*2*(sqrt(152) + sqrt(152)*1*-6))/(6*sqrt(512)*1*3).
-5*sqrt(19)/12
Simplify (((sqrt(1331)*-2 - sqrt(1331))*-2 - (sqrt(1331) + 1 + sqrt(1331))*2)**2 - (1*((1 + sqrt(1331))*-3 + 0))**2) + -2.
-6662 - 286*sqrt(11)
Simplify (3*2*(-3 + 0 + sqrt(1331) + 4 + (sqrt(1331) - (-1 + sqrt(1331) + 0) - sqrt(1331))) + 1)**2.
169
Simplify -2 + (sqrt(396) + 2*sqrt(396)*-2 - 3*sqrt(396)*3)**2 + (3 + 2*sqrt(396))**2 + (0 + 2 + sqrt(396) + sqrt(396))**2.
120*sqrt(11) + 60203
Simplify (6*((3*2*sqrt(95))/(sqrt(5) + -4*sqrt(5)*-1) + 5 + 0))**2.
432*sqrt(19) + 47124/25
Simplify -6*(sqrt(704) + 1 + sqrt(704)) + (sqrt(704) - (-2*sqrt(704)*1 + sqrt(704))**2) +
|
{
"pile_set_name": "DM Mathematics"
}
|
to the nearest integer?
13
What is 23381 to the power of 1/3, to the nearest integer?
29
What is 10090 to the power of 1/3, to the nearest integer?
22
What is 58 to the power of 1/6, to the nearest integer?
2
What is the eighth root of 462 to the nearest integer?
2
What is 21225 to the power of 1/7, to the nearest integer?
4
What is the third root of 1769 to the nearest integer?
12
What is the square root of 341 to the nearest integer?
18
What is the fourth root of 10830 to the nearest integer?
10
What is the eighth root of 8526 to the nearest integer?
3
What is 53871 to the power of 1/3, to the nearest integer?
38
What is the square root of 5419 to the nearest integer?
74
What is the fourth root of 3446 to the nearest integer?
8
What is the sixth root of 4872 to the nearest integer?
4
What is the square root of 176809 to the nearest integer?
420
What is 1146 to the power of 1/3, to the nearest integer?
10
What is the square root of 30093 to the nearest integer?
173
What is 34097 to the power of 1/3, to the nearest integer?
32
What is the third root of 2248 to the nearest integer?
13
What is 19616 to the power of 1/3, to the nearest integer?
27
What is 32516 to the power of 1/2, to the nearest integer?
180
What is 16769 to the power of 1/3, to the nearest integer?
26
What is 97588 to the power of 1/8, to the nearest integer?
4
What is 217 to the power of 1/3, to the nearest integer?
6
What is 506 to the power of 1/8, to the nearest integer?
2
What is the square root of 1681 to the nearest integer?
41
What is 154 to the power of 1/2, to the nearest integer?
12
What is the square root of 1613 to the nearest integer?
40
What is 9026 to the power of 1/2, to the nearest integer?
95
What is the cube root of 4729 to the nearest integer?
17
What is 1427 to the power of 1/3, to the nearest integer?
11
What is 6896 to the power of 1/3, to the nearest integer?
19
What is the cube root of 4992 to the nearest integer?
17
What is 5799 to the power of 1/7, to the nearest integer?
3
What is the square root of 87602 to the nearest integer?
296
What is the cube root of 16105 to the nearest integer?
25
What is the cube root of 9499 to the nearest integer?
21
What is 1827 to the power of 1/3, to the nearest integer?
12
What is 4102 to the power of 1/3, to the nearest integer?
16
What is the square root of 383 to the nearest integer?
20
What is 456 to the power of 1/2, to the nearest integer?
21
What is 7087 to the power of 1/6, to the nearest integer?
4
What is 38851 to the power of 1/2, to the nearest integer?
197
What is 63040 to the power of 1/2, to the nearest integer?
251
What is 3246 to the power of 1/2, to the nearest integer?
57
What is 1308 to the power of 1/8, to the nearest integer?
2
What is 16171 to the power of 1/9, to the nearest integer?
3
What is the fourth root of 2172 to the nearest integer?
7
What is the ninth root of 36759 to the nearest integer?
3
What is the fifth root of 2810 to the nearest integer?
5
What is the square root of 78043 to the nearest integer?
279
What is 64969 to the power of 1/6, to the nearest integer?
6
What is the third root of 1106 to the nearest integer?
10
What is the eighth root of 242 to the nearest integer?
2
What is 3056 to the power of 1/3, to the nearest integer?
15
What is 38065 to the power of 1/3, to the nearest integer?
34
What is the square root of 5037 to the nearest integer?
71
What is the ninth root of 45735 to the nearest integer?
3
What is the square root of 57001 to the nearest integer?
239
What is 3984 to the power of 1/3, to the nearest integer?
16
What is the cube root of 47090 to the nearest integer?
36
What is the third root of 685 to the nearest integer?
9
What is the seventh root of 6242 to the nearest integer?
3
What is the cube root of 1016 to the nearest integer?
10
What is the seventh root of 670 to the nearest integer?
3
What is the fifth root of 2161 to the nearest integer?
5
What is the sixth root of 932 to the nearest integer?
3
What is the square root of 3076 to the nearest integer?
55
What is the fourth root of 3138 to the nearest integer?
7
What is 23094 to the power of 1/4, to the nearest integer?
12
What is the third root of 464 to the nearest integer?
8
What is the square root of 15660 to the nearest integer?
125
What is 7015 to the power of 1/3, to the nearest integer?
19
What is 33121 to the power of 1/9, to the nearest integer?
3
What is the square root of 18609 to the nearest integer?
136
What is 90259 to the power of 1/5, to the nearest integer?
10
What is 1048 to the power of 1/2, to the nearest integer?
32
What is 21510 to the power of 1/4, to the nearest integer?
12
What is 821 to the power of 1/9, to the nearest integer?
2
What is the third root of 22341 to the nearest integer?
28
What is the square root of 143139 to the nearest integer?
378
What is the cube root of 1483 to the nearest integer?
11
What is 5123 to the power of 1/2, to the nearest integer?
72
What is 8327 to the power of 1/7, to the nearest integer?
4
What is the cube root of 155 to the nearest integer?
5
What is the seventh root of 5221 to the nearest integer?
3
What is 60722 to the power of 1/4, to the nearest integer?
16
What is the sixth root of 2182 to the nearest integer?
4
What is 479 to the power of 1/3, to the nearest integer?
8
What is the cube root of 496 to the nearest integer?
8
What is the seventh root of 611 to the nearest integer?
3
What is the sixth root of 50142 to the nearest integer?
6
What is 4848 to the power of 1/8, to the nearest integer?
3
What is 4686 to the power of 1/7, to the nearest integer?
3
What is the seventh root of 14390 to the nearest integer?
4
What is 68028 to the power of 1/2, to the nearest integer?
261
What is 1090 to the power of 1/3, to the nearest integer?
10
What is the third root of 594 to the nearest integer?
8
What is 1653 to the power of 1/5, to the nearest integer?
4
What is the square root of 614 to the nearest integer?
25
What is the ninth root of 9302 to the nearest integer?
3
What is 625 to the power of 1/3, to the nearest integer?
9
What is the tenth root of 45251 to the nearest integer?
3
What is the eighth root of 17056 to the nearest integer?
3
What is the fifth root of 8155 to the nearest integer?
6
What is the third root of 304 to the nearest integer?
7
What is the third root of 100 to the nearest integer?
5
What is 2063 to the power of 1/3, to the nearest integer?
13
What is 92749 to the power of 1/2, to the nearest integer?
305
What is 981 to the power of 1/2, to the nearest integer?
31
What is the square root of 24285 to the nearest integer?
156
What is 30186 to the power of 1/6, to the nearest integer?
6
What is 2409 to the power of 1/10, to the nearest integer?
2
What is 11552 to the power of 1/3, to the nearest integer?
23
What is 846 to the power of 1/6, to the nearest integer?
3
What is 6 to the power of 1/3, to the nearest integer?
2
What is 26716 to the power of 1/3, to the nearest integer?
30
What is 1874 to the power of 1/3, to the nearest integer?
12
What is 1351 to the power of 1/10, to the nearest integer?
2
What is 37 to the power of 1/2, to the nearest integer?
6
What is 508 to the power of 1/2, to the nearest integer?
23
What is the ninth root of 1460 to the nearest integer?
2
What is the tenth root of 982 to the nearest integer?
2
What is the cube root of 54951 to the nearest integer?
38
What is 875 to the power of 1/5, to the nearest integer?
4
What is the eighth root of 904 to the nearest integer?
2
What is the cube root of 507 to the nearest integer?
8
What is the cube root of 657 to the nearest integer?
9
What is the square root of 55282 to the nearest integer?
235
What is 18703 to the power of 1/2, to the nearest integer?
137
What is 19158 to the power of 1/3, to the nearest integer?
27
What is the cube root of 2064 to the nearest integer?
13
What is the fifth root of 13175 to the nearest integer?
7
What is 845 to the power of 1/2, to the nearest integer?
29
What is 302 to the power of 1/2, to the nearest integer?
17
What is 1960 to the power of 1/3, to the nearest integer?
13
What is the eighth root of 5553 to the nearest integer?
3
What is the sixth root of 7574 to the nearest integer?
4
What is the square root of 1
|
{
"pile_set_name": "DM Mathematics"
}
|
common factor of 75075 and 781935?
1155
Calculate the greatest common factor of 1609982 and 67496.
22
Calculate the highest common factor of 5196096 and 351528.
2328
What is the highest common divisor of 350 and 1707125?
175
What is the greatest common factor of 56718021 and 57?
57
What is the greatest common divisor of 30280 and 2566987?
757
What is the greatest common divisor of 3610 and 666406?
722
What is the greatest common factor of 45 and 13634667?
9
What is the highest common factor of 109 and 188081?
1
Calculate the greatest common divisor of 414 and 3866070.
138
What is the highest common factor of 1094 and 39428307?
547
Calculate the greatest common divisor of 946 and 3592754.
22
What is the highest common divisor of 338424653 and 4385?
877
Calculate the greatest common factor of 53002269 and 45.
9
Calculate the greatest common factor of 822 and 6810544.
274
What is the greatest common divisor of 42278 and 206?
2
What is the highest common divisor of 28853 and 29403?
11
Calculate the greatest common divisor of 1088 and 1065376.
32
Calculate the greatest common factor of 586943 and 648445.
1337
What is the greatest common factor of 396042812 and 748?
748
Calculate the highest common factor of 13437 and 110169.
9
What is the highest common divisor of 7667331 and 290318?
1631
Calculate the greatest common factor of 273 and 279045.
39
Calculate the greatest common factor of 174019413 and 15.
3
Calculate the greatest common divisor of 49208 and 800.
8
Calculate the highest common divisor of 1746 and 75126306.
582
Calculate the highest common factor of 361246778 and 4701.
1567
Calculate the greatest common factor of 56637764 and 28.
4
What is the highest common divisor of 7153 and 1317923?
23
Calculate the highest common divisor of 184 and 427995500.
92
Calculate the highest common factor of 36 and 509077776.
12
Calculate the highest common factor of 386200940 and 20.
20
What is the highest common factor of 138602456 and 17210?
3442
Calculate the highest common factor of 1064307 and 3874.
149
Calculate the greatest common divisor of 40093759 and 172.
43
What is the greatest common factor of 56226 and 834?
6
What is the greatest common divisor of 26465 and 139040?
395
What is the highest common factor of 29288 and 1182664?
56
What is the greatest common factor of 26030032 and 336?
112
What is the highest common factor of 227882 and 522?
58
What is the highest common factor of 2665935 and 57195?
45
What is the highest common divisor of 72 and 50690313?
9
What is the highest common divisor of 25280497 and 18821?
649
What is the highest common factor of 78150979 and 6679?
6679
Calculate the greatest common factor of 93618 and 14.
14
Calculate the greatest common factor of 10069939 and 46850.
937
What is the greatest common divisor of 208495 and 38073?
1813
What is the highest common divisor of 82 and 4104223?
41
What is the highest common divisor of 49480874 and 430?
86
What is the highest common factor of 5073694 and 2570?
514
Calculate the highest common factor of 192 and 7152984.
24
Calculate the greatest common factor of 14 and 3754926.
14
Calculate the greatest common factor of 94638312 and 4926.
4926
Calculate the greatest common factor of 2021 and 824697.
43
Calculate the highest common divisor of 262 and 24507087.
131
Calculate the highest common factor of 30680 and 1720498.
26
Calculate the highest common factor of 46208 and 97831.
361
Calculate the greatest common factor of 13475 and 8369075.
275
What is the greatest common factor of 128 and 1844888?
8
What is the greatest common divisor of 15168 and 1064841?
237
Calculate the greatest common divisor of 12684 and 1489313.
1057
Calculate the greatest common divisor of 284160 and 7770.
1110
Calculate the highest common factor of 1065 and 3691457205.
1065
What is the greatest common divisor of 5534592 and 3132?
348
What is the highest common divisor of 137356609 and 338?
169
Calculate the highest common divisor of 232740025 and 26600.
3325
Calculate the highest common factor of 185227713 and 198.
99
What is the greatest common factor of 127118571 and 54723?
1479
What is the greatest common factor of 24791120 and 719?
719
Calculate the greatest common divisor of 7025550 and 98.
14
What is the greatest common divisor of 926965 and 1527760?
845
What is the highest common factor of 8723968 and 256?
256
Calculate the highest common factor of 1720008 and 48.
24
Calculate the greatest common divisor of 2860 and 24243648.
572
What is the greatest common divisor of 56542 and 471682?
34
Calculate the greatest common factor of 29080 and 7480.
40
Calculate the greatest common factor of 2 and 5946478.
2
Calculate the highest common factor of 1096 and 3113599.
137
Calculate the greatest common divisor of 39143300 and 14.
14
Calculate the greatest common divisor of 223665 and 608595.
195
Calculate the greatest common divisor of 105 and 106223915.
35
What is the highest common divisor of 5473247 and 13?
13
What is the greatest common factor of 4621 and 2724287445?
4621
Calculate the greatest common divisor of 332 and 20828.
4
What is the highest common factor of 5606 and 4891588178?
5606
Calculate the highest common divisor of 1712 and 4563443.
107
Calculate the highest common divisor of 6 and 2091974.
2
Calculate the highest common factor of 214827492 and 528.
132
What is the highest common factor of 243789341 and 29?
29
Calculate the greatest common factor of 5771 and 154657.
29
Calculate the highest common divisor of 92554 and 372603.
77
What is the highest common divisor of 4251455 and 3835?
65
What is the highest common factor of 63626 and 73109?
29
Calculate the greatest common divisor of 4897258 and 68.
34
What is the highest common divisor of 278400 and 33553?
29
Calculate the greatest common factor of 74637684 and 1224.
612
Calculate the greatest common divisor of 1065 and 10022640.
15
What is the greatest common factor of 35828 and 528294?
338
Calculate the greatest common factor of 300 and 16279500.
300
Calculate the highest common divisor of 6072408 and 1944.
648
What is the greatest common factor of 844 and 11121388?
844
Calculate the greatest common factor of 1590695 and 91715.
415
Calculate the highest common factor of 79362395 and 7.
7
What is the highest common divisor of 267621 and 111?
111
Calculate the highest common factor of 6876 and 14724.
36
Calculate the greatest common divisor of 2176 and 15428656.
272
What is the highest common factor of 81003000 and 4?
4
What is the highest common factor of 2499 and 207564?
147
Calculate the highest common factor of 23166 and 81796.
286
Calculate the highest common divisor of 213 and 12836587.
71
Calculate the highest common divisor of 3959 and 8137885.
107
Calculate the highest common factor of 14238 and 3796461.
1017
What is the highest common factor of 106390 and 4210?
10
Calculate the greatest common divisor of 8601 and 516906.
141
What is the greatest common factor of 11344288 and 47678?
1538
Calculate the greatest common factor of 15379340 and 4230.
470
What is the greatest common factor of 292962268 and 387?
43
Calculate the greatest common divisor of 1320 and 7846152.
24
What is the highest common factor of 5730 and 108195?
15
Calculate the highest common divisor of 220 and 3839060.
20
Calculate the greatest common factor of 300274 and 2158.
26
What is the highest common divisor of 87780 and 48660?
60
Calculate the highest common divisor of 158254 and 1509318.
2362
What is the highest common factor of 266 and 102871377?
133
Calculate the greatest common divisor of 846 and 38370518.
94
What is the greatest common divisor of 663 and 90489759?
51
What is the highest common factor of 29987604 and 1188?
108
Calculate the highest common divisor of 121 and 2153987.
11
What is the highest common divisor of 3029 and 6132793?
233
Calculate the greatest common factor of 8962516 and 64.
4
What is the greatest common divisor of 4976 and 3108671408?
4976
What is the highest common divisor of 1631919 and 381593?
8119
What is the greatest common factor of 4819 and 17429454?
79
Calculate the highest common factor of 16134 and 12930.
6
What is the greatest common divisor of 231 and 10358502?
231
What is the greatest common factor of 96 and 5269
|
{
"pile_set_name": "DM Mathematics"
}
|
r be g(-15). Let d = 11 + r. Calculate x(d).
0
Let y(k) = 18*k**3 - k + 340*k**2 + 9*k**3 + 1 - 341*k**2. Calculate y(1).
26
Let r be ((-4)/(-50)*10)/(10/(-25) - 0). Let n(i) = -i**3 - 3*i**2 + i + 4. What is n(r)?
-2
Let p(b) = -20*b. Let l be -22*(-8)/(14 + 2). Suppose 16*t = l*t + 5. Give p(t).
-20
Let o(n) = -18*n - 35. Let x(q) = 61*q + 104. Let m(z) = 10*o(z) + 3*x(z). Determine m(14).
4
Let s(m) = m**2 + 11*m + 24. Let u be s(-12). Suppose 3*o - 32 = x, -x - u = o - 3*o. Let t = x + 40. Let w(l) = l. Determine w(t).
-4
Let c(m) = -8 - 14*m - 12*m + 28*m. Suppose -3*s = 4*t - 10, 3*s = -123*t + 118*t + 8. Calculate c(s).
4
Let o(d) be the third derivative of 1/40*d**5 - 31/24*d**4 - 1/720*d**6 + 0 + 0*d**3 + 0*d + 15*d**2. Let u(i) be the second derivative of o(i). Give u(0).
3
Let m be (-3 - 1)*(6 - (-20)/(-5)). Let i(c) = -c**2 - 6*c + 2. Calculate i(m).
-14
Let n(d) = -44 + d**2 + 7*d**3 + 2*d**3 + 81*d - 6*d**2 - 90*d - 10*d**3. Give n(-5).
1
Let r(s) = s**3 - 13*s**2 + 12*s + 5. Let n = -360 + 188. Let d = 184 + n. What is r(d)?
5
Let i be (5 + -3)*1/1. Let h(m) = -5 - 50*m**2 + 0 + 56*m**i + 4. Calculate h(-1).
5
Let q(a) be the second derivative of -a**5/20 - a**4/12 + a**3/6 + 3*a**2 + a. Suppose 45131 = 43*b + 7549. Let g = b - 874. Calculate q(g).
6
Let x(w) be the first derivative of w**2/2 - w - 42. Let o = -28 + 69. Suppose -11*b - 8 = -o. Determine x(b).
2
Let d(i) = i**3 - 17*i**2 + 8*i + 580. Let x be d(9). Let l(h) be the second derivative of -1/6*h**3 + 0*h**2 + 0 - 24*h + 1/12*h**x. Give l(0).
0
Let f(b) = -13*b**2 + 7*b - 6. Let k(w) = 7*w**2 - 4*w + 7. Let a(y) = -6*f(y) - 11*k(y). What is a(0)?
-41
Suppose 63*k = 169 - 117 + 137. Let d(z) = -z**2 + 6. Calculate d(k).
-3
Suppose -4*b - 483*l + 478*l = 11, -4*b - l - 31 = 0. Let v(r) = -3*r - 37. Determine v(b).
-10
Let h(s) = -s + 2*s**2 - s**2 + 2*s**2. Let d(i) = -i**2 + 46*i - 167. Let f be d(42). Let o be f/(-4) - 35/(-28)*1. Give h(o).
2
Let k = 103 + -99. Suppose 4*c = o - 375, 96 = -c + k*o - 6*o. Let s be (-32)/(-80) - c/(-10). Let m(x) = x**3 + 9*x**2 - x + 8. Determine m(s).
17
Let k(l) = 183*l + 132. Let d(s) = -85*s - 66. Let b(a) = 13*d(a) + 6*k(a). Calculate b(-8).
-10
Suppose 3*y = 4*t + 46 - 53, 4*y + 10 = 5*t. Let j(l) = -9*l - 18. Give j(y).
27
Let c(o) = -2*o**2 + 36*o - 134. Let z be c(13). Let h(d) = -4*d**2 - 20*d - 3. What is h(z)?
13
Suppose -r + 18 - 12 = 3*v, 2*r = -5*v + 11. Let f(j) = -j**3 + 4*j**2 - 5*j + 5. Calculate f(r).
-1
Let s(v) be the second derivative of -v**3/6 + 9*v**2 - 133*v + 1. Determine s(9).
9
Let j(y) = 52*y**3 + 40*y**2 + y + 36. Let x(r) = 19*r**3 + 14*r**2 + 12. Let b(o) = -4*j(o) + 11*x(o). Determine b(7).
9
Let t = -194 + 197. Suppose 0 = 8*g - 4*g - t*k + 52, 2*g + 5*k + 26 = 0. Let l(q) = q + 16. Calculate l(g).
3
Let t(c) = c**3 + 11*c**2 - 11*c + 15. Let k(j) = j**2 + 24*j + 32. Let o be (-4)/(-10)*(-52 + -3). Let x be k(o). Determine t(x).
3
Suppose 26 = 2*g - 4*p, -11*p = 3*g - 8*p + 6. Let i(s) = 3*s**3 - s**2 + 2*s - 7. Calculate i(g).
71
Let u(c) = 20*c**2 - 3745*c + 3730*c + 1 - 12*c**2 - 11*c**2. Calculate u(-5).
1
Let g(y) = y + 8. Let s = 112 - 122. Let j(x) = -x**2 + x + 105. Let p be j(s). Calculate g(p).
3
Let j(s) = 15*s**3 + 4*s**2 + 4*s + 4. Let l(k) = -1 - 398*k**2 + 201*k**2 - k + 196*k**2. Let q(p) = j(p) + 4*l(p). Determine q(1).
15
Let p(a) = 3*a + 10. Let i(q) = -3*q - 14. Let t(y) = 4*i(y) + 6*p(y). Let k(d) = d**2 + 7*d + 2. Let c be k(-6). Give t(c).
-20
Let z(u) = 307 - 705 + 393 - 31*u. Determine z(1).
-36
Let c be 1/24*(7/(-7) + 3). Let q(k) be the third derivative of 0 - c*k**4 + 0*k + 1/3*k**3 - 13*k**2. Determine q(5).
-8
Let s(q) = -q**3 + 15*q**2 - q + 28. Let m be s(14). Suppose -35*n = -49*n - m. Let h(r) = -r - 13. What is h(n)?
2
Let h(t) = 3*t - 58. Suppose -544 = 27*g - 976. What is h(g)?
-10
Let r(f) = f**3 - 3*f**2 - 4*f. Suppose -144 = -6*y + 66. Let v = y + -40. Let z be (-22)/v - (-30)/(-75). Determine r(z).
0
Let c(q) = q**3 - 6*q**2 + 8*q - 61. Suppose -33*y - 31 + 229 = 0. Let b be c(y). Let d(l) = l + 18. Calculate d(b).
5
Let y be 10 + (8624/42)/(-22). Let g(i) be the second derivative of 0 + 1/12*i**4 - 14*i + y*i**3 - i**2. Give g(-6).
10
Suppose -10*p + 282 = -278. Let i be (-519)/8 - 7/p. Let u be (-10)/i - (-11)/13. Let g(o) = -3*o**2 + 2*o - 1. Give g(u).
-2
Let w(b) = -8*b + 2. Suppose 5 = -2*y - 17. Let z(t) = 3*t**2 + 34*t + 12. Let v be z(y). Give w(v).
-6
Let m be (-87)/(-58)*((-28)/6 - -2). Let w be (5 + 32/m)/((-15)/10). Let v(j) = 2 - 1 - 4*j + 0. Determine v(w).
-7
Let z(m) = -3*m - 70. Suppose -4*i - 3*r + 66 = -7*i, 5*i - r = -102. Let l be z(i). Let g(p) = -p**2 - 10*p + 14. What is g(l)?
14
Let x(d) = -98 + d**3 + 30 + 9 + 16*d**2 + 6*d**2 + 23 + 19*d. Calculate x(-21).
6
Let g(c) = -30*c**2 + 3*c - 17. Let x(h) = -7*h**2 + h - 4. Let z(q) = -2*g(q) + 9*x(q). Suppose -5*y - 1 = -i - 6, -5*i + 27 = y. Calculate z(y).
-8
Let k(n) = -n**3 + 3*n**2 - 135*n + 413. Let i be k(3). Let t(f) = -f - 6. Determine t(i).
-14
Suppose 11 = 2*b - 5*r + 21, 2*b = -3*r - 10. Let s(z) be the second derivative of -z**5/20 - 5*z**4/12 - 7*z**2/2 - 3*z. What is s(b)?
-7
Let s(k) = 3*k**2 + 8*k - 26. Let q(w) = -8*w**2 - 14*w + 46. Let r(z) = -4*q(z) - 7*s(z). Calculate r(-2).
42
Let c(a) = a**2 - 8*a + 15. Let k(u) = -1. Let m(q) = c(q) - k(q). Calculate m(10).
36
Let p(h) be the third derivative of h**5/30 + h**4/3 + 2*h**3 - 5*h**2 - h - 126. Calculate p(-2).
4
Suppose 9*h + 20*h = 71253. Let t be (-8)/22 - h/231. Let d(l) = l**2 + 12*l + 2. Calculate d(t).
-9
Let a(w) = 4*w**2 - 15 + 1447*w - 3*w**2 - 3*w**2 + 0*w**2 - 1452*w. Give a(-6).
-57
Let l be 40 + (5 - (5 + -1)). Let c = l + -58. Let o(d) = -d**2 - 18*d - 22. Let s be o(c). Let a(r) = r**2 + 7*r + 7. Determine a(s).
-3
Let j(q) be the second derivative of 3*q**5/20 + q**4/4 + 2*q**3/3 + q**2/2 + 14*q - 9. Give j(-3).
-65
Let k(c) = 12*c + 2. Let n(l) = -18*l**2. Let r be n(1). Let v be (r - -124)/((-2 + 1)*-1). Let d = -104 + v. Determine k(d).
26
Let r(x) be the second derivative of 8*x**3/3 - x**2/2 + 9*x - 2. Let m = -1096 - -1097. Calculate r(m).
15
Let x(n) = -3*n**2 + 41*n + 17. Suppose -165*o = -161*o + 8, -52 = -3*k + 5*o. Give x(k).
3
Let r(c) = 8*c**2 - 11*c + 0*c + c**3 + 10*c + 5*c + 20. What is r(-8)?
-12
Let o be (-2312)/(-32) + 1 + (-2)/8. Let a(q) = 7*q**2 - o*q**2 + 1 + 68*q**2. Suppose -5 = 3*n + 4. What is a(n)?
19
Let a = -188 + 195. Suppose -5*n + 5*v = a + 8, -n - 4*v = 18. Let i(m) = -m**3 - 5*m**2 + 9*m + 9. Give i(n).
-9
Let i(c) be the first derivative of c**3/3 - 3*c**2 + 22*c + 21. Let l be i(5). Suppose -l = 8*z - 1. Let t(u) = -3*u**3 - 4*u**2 - 4*u - 2. Calculate t(z).
14
Let o(d) = 79*d + 19. Let n(b) = b**2 + 237*b + 66. Let g(q) = -3*n(q) + 8*o(q). Determine g(-26).
-20
Suppose 4*f + 10 = 22. Let w(u) be the second derivative of 7*u**3/6 - 4*u**2 + 2*u. Let o(x) = -20*x + 23. Let p(c) = 4*o(c) + 11*w(c). Calculate p(f).
-5
Suppose -7 - 1 = 4*r - 4*i, -4*i = -r + 7. Let y(j) = 1613 - 1613 - 4*j. Let p(v) = v. Let m(w) = -3*p(w) - y(w). Give m(r).
-5
Let r = 80 - -45. Let w(c) = -48*c + 51*c - r + 127. Give w(-5).
-13
Let l(i) = 2*i**2 + 48*i + 2. Let x be l(-26). Suppose -104 - x = 21*a. Let w(o) = -o**3 - 10*o**2 + o + 6. Determine w(a).
-4
Let i(h) be the second derivative of 9*h + 1/12*h**4 + 0 - 2*h**2 + 3/2*h**3. Give i(-5).
-24
Let z(v) = -11*v + 11. Suppose -175 - 24 = -32*f + 57. Determine z(f).
-77
Suppose -22*k = -20*k - 26. Suppose -56 + 4 = -k*h. Let i(m) = -m**3 + 5*m**2 - 4*m + 2. What is i(h)?
2
Let r(d) = d**3 - 3*d**2 + 47*d - 216. Let o be r(4). Let v(w) = w**2 + 9*w - 57. Give v(o).
-21
Let u = -159 - -211. Let o = 46 - u. Let q(j) = 5 + 2*j - 3 - 3*j - 4. Calculate q(o).
4
Let z(p) be the first derivative of -p**4/4 - 5*p**3/3 + 13*p**2/2 + 7*p + 11133. What is z(-7)?
14
Suppose -j + 3*x + 14 = -x, -2*j = -4*x - 12. Let z be (j/3)/(355/90 - 4). Let l be 8/z*(-33)/(-2) - 1. Let d(v) = -v**2 + 10*v + 1. Calculate d(l).
1
Let o(h) = h**3 - 4*h**2 + h - 1. Let w(q) = 2*q**2 - q + 1. Suppose 11 = b + 10. Let n be w(b). Let y be o(n). Let a(i) = i**2 + 4*i - 9. Calculate a(y).
12
Let z(m) = -57 + 5*m**3 - 2*m + m - m**2 + 59 - 6*m**3. Let v(k) = -k**3 +
|
{
"pile_set_name": "DM Mathematics"
}
|
nearest 10.
321820
What is 0.00000675930999 rounded to 6 decimal places?
0.000007
Round -251312.29 to the nearest one hundred thousand.
-300000
What is -0.000001630730691 rounded to 7 dps?
-0.0000016
Round -15.9394722 to 0 dps.
-16
Round 1568.7690646 to 0 dps.
1569
Round 9595.7855 to the nearest integer.
9596
Round -1589.939428 to 1 decimal place.
-1589.9
What is -433186.02 rounded to the nearest 100?
-433200
What is 0.04101476433 rounded to 2 decimal places?
0.04
What is 148.317459 rounded to the nearest 10?
150
What is -112.70974 rounded to the nearest 10?
-110
Round -8372.35279 to the nearest one thousand.
-8000
Round 3630604.074 to the nearest one thousand.
3631000
Round -0.00000015410995 to 6 dps.
0
Round 128803.3193 to the nearest 1000.
129000
What is -0.00072505758 rounded to seven dps?
-0.0007251
Round 0.0000013215481 to 6 decimal places.
0.000001
Round -520510906.8 to the nearest ten thousand.
-520510000
Round 22.3262639 to the nearest 10.
20
What is 6.0781429 rounded to 1 decimal place?
6.1
Round 0.109177715 to 2 dps.
0.11
What is -0.0001865636295 rounded to five decimal places?
-0.00019
What is 0.007273419465 rounded to 4 dps?
0.0073
What is -1.070562691 rounded to two dps?
-1.07
What is 0.00172169631 rounded to 6 dps?
0.001722
Round -43.90471 to zero dps.
-44
Round 1114837.42 to the nearest 100.
1114800
What is 13081353100 rounded to the nearest one million?
13081000000
Round 1170877.02 to the nearest 100.
1170900
What is 4202739 rounded to the nearest 10000?
4200000
Round -94.80612798 to one dp.
-94.8
Round 47429.87573 to the nearest one thousand.
47000
Round 65125201 to the nearest 1000000.
65000000
Round 0.009434295617 to six dps.
0.009434
What is 338035.9959 rounded to the nearest 100000?
300000
Round 0.03031858239 to 4 dps.
0.0303
Round -24.7876539 to the nearest integer.
-25
What is 2531610.66 rounded to the nearest 1000?
2532000
What is -47565364.9 rounded to the nearest one million?
-48000000
What is -2037338.326 rounded to the nearest one thousand?
-2037000
What is 0.00687362984 rounded to 7 dps?
0.0068736
What is -17.92201951 rounded to 0 decimal places?
-18
What is 0.0113945227 rounded to 3 decimal places?
0.011
Round 0.00000245161629 to six dps.
0.000002
Round -5430.16964 to the nearest one hundred.
-5400
What is -552846.23 rounded to the nearest one hundred?
-552800
What is -47094179.07 rounded to the nearest 1000000?
-47000000
What is 99.0571979 rounded to the nearest 10?
100
What is -7021.870139 rounded to the nearest 1000?
-7000
Round -141353024 to the nearest ten thousand.
-141350000
What is 4076630660 rounded to the nearest 1000000?
4077000000
Round 22.0532345 to zero decimal places.
22
What is -2442417.15 rounded to the nearest one hundred thousand?
-2400000
Round 71388789840 to the nearest one million.
71389000000
Round -0.0188070603 to five decimal places.
-0.01881
Round 0.052200525 to two decimal places.
0.05
Round -983761716 to the nearest one hundred thousand.
-983800000
Round -2.916949808 to 3 decimal places.
-2.917
What is 0.000377425072 rounded to 4 decimal places?
0.0004
What is 0.00046992678 rounded to six dps?
0.00047
Round 354.6099 to one dp.
354.6
What is -0.1731691 rounded to 2 decimal places?
-0.17
Round -3543.48187 to 1 decimal place.
-3543.5
What is -69118.44 rounded to the nearest 100?
-69100
Round -2854251459 to the nearest one million.
-2854000000
Round -0.25117903 to 4 decimal places.
-0.2512
What is 4232731.38 rounded to the nearest ten thousand?
4230000
What is 0.016210411 rounded to six decimal places?
0.01621
Round -0.81721528 to 2 dps.
-0.82
Round -8257517.9 to the nearest 100000.
-8300000
Round 38852.9996 to zero dps.
38853
Round 2.9271387 to 1 decimal place.
2.9
What is 6380.19044 rounded to the nearest 100?
6400
Round 2.00815828 to four decimal places.
2.0082
Round 321.16135 to 1 dp.
321.2
Round 2.74082704 to 1 decimal place.
2.7
Round -5155220.72 to the nearest 100000.
-5200000
What is 292067.405 rounded to the nearest 10000?
290000
Round -0.170642515 to five dps.
-0.17064
Round 7613.4335 to the nearest 1000.
8000
What is -0.1105865329 rounded to two dps?
-0.11
Round -9967905960 to the nearest 1000000.
-9968000000
Round 0.00001810013734 to 6 dps.
0.000018
Round 3985.593721 to the nearest 10.
3990
Round -0.0525079265 to four dps.
-0.0525
Round 1.93502959 to 4 dps.
1.935
Round -0.119207024 to 5 decimal places.
-0.11921
Round 0.1631138512 to 5 dps.
0.16311
Round 19809286.43 to the nearest one thousand.
19809000
Round -6683554.2 to the nearest one million.
-7000000
Round 134932.1717 to the nearest one thousand.
135000
Round 0.289675034 to five dps.
0.28968
Round 0.33434502 to two dps.
0.33
What is -2740.33133 rounded to the nearest 100?
-2700
Round -1785464145 to the nearest one million.
-1785000000
What is 0.000000540700338 rounded to 7 dps?
0.0000005
What is -243.178306 rounded to 2 dps?
-243.18
What is -612319.78 rounded to the nearest 100?
-612300
Round -0.001902419884 to five dps.
-0.0019
Round -4789877.95 to the nearest one hundred thousand.
-4800000
Round -0.01770740281 to three dps.
-0.018
Round -0.289709646 to five dps.
-0.28971
What is 9366934.779 rounded to the nearest one thousand?
9367000
What is 2088635.578 rounded to the nearest 100?
2088600
What is -2.427852601 rounded to 2 dps?
-2.43
What is 69.1110673 rounded to 1 dp?
69.1
What is 14900669.51 rounded to the nearest 100?
14900700
Round -347769467.5 to the nearest 100000.
-347800000
Round 0.016753055 to 3 dps.
0.017
What is -116.738809 rounded to the nearest ten?
-120
What is 119515.339 rounded to the nearest 100?
119500
What is -12466386400 rounded to the nearest one million?
-12466000000
Round -69460394.4 to the nearest 100000.
-69500000
What is 0.00002237308907 rounded to 6 decimal places?
0.000022
What is 0.38870441 rounded to two decimal places?
0.39
Round -42949534 to the nearest one hundred thousand.
-42900000
What is -1.09203995 rounded to one dp?
-1.1
Round -833938.01 to the nearest 1000.
-834000
Round -2135.6031 to the nearest 1000.
-2000
Round 184086.46 to the nearest one hundred.
184100
Round 0.0027112352 to four dps.
0.0027
Round 0.0000000189346301 to 7 decimal places.
0
Round -0.0004815572632 to 7 dps.
-0.0004816
What is -44448186860 rounded to the nearest one million?
-44448000000
Round 872477.211 to the nearest 1000.
872000
Round 3535845428 to the nearest one million.
3536000000
What is 2126627950 rounded to the nearest one hundred thousand?
2126600000
What is 26465163.8 rounded to the nearest one million?
26000000
What is 223622.313 rounded to the nearest ten thousand?
220000
What is -6887803.665 rounded to the nearest ten thousand?
-6890000
What is 52614036.26 rounded to the nearest 100000?
52600000
Round 0.000057126379 to 7 decimal places.
0.0000571
Round -0.0000058393883 to 7 decimal places.
-0.0000058
What is -19226.15536 rounded to the nearest one hundred?
-19200
Round 38570.037 to the nearest 1000.
39000
Round -549.8119856 to one dp.
-549.8
What is -165454.448 rounded to the nearest ten thousand?
-170000
What is 381025.052 rounded to the nearest one hundred thousand?
400000
Round -3834355 to the nearest 100000.
-3800000
What is -0.0067595914 rounded to five dps?
-0.00676
What is 62280.1197 rounded to the nearest 100?
62300
Round -909.39295 to the nearest ten.
-910
What is -0.0000012021463 rounded to seven decimal places?
-0.0000012
What is -816.118754 rounded to the nearest 100?
-800
Round 775599270 to the nearest 1000000.
776000000
What is 1.438212249 rounded to four dps?
1.4382
What is -1033.99875 rounded to the nearest 10?
-1030
What is 115733.2854 rounded to the nearest 10?
115730
What is 0.0007060380503 rounded to 7 decimal places?
0.000706
What is -60409.317 rounded to the nearest ten?
-60410
Round 0.00100125794 to five dps.
0.001
Round -7059.368 to the nearest one thousand.
-7000
Round -0.00002079343096 to 7 dps.
-0.0000208
What is -26.609678508 rounded to 3 decimal places?
-26.61
What is 64.4692447 rounded to the nearest ten?
60
Round 184.8742907 to 1 decimal place.
184.9
Round 1087.891418 to one decimal place.
1087.9
Round 0.0000067011023 to 6 decimal places.
0.000007
Round -3243.7266 to one dp.
-3243.7
Round 0.00036253589 to four decimal places.
0.0004
Round 1911.950803 to the nearest
|
{
"pile_set_name": "DM Mathematics"
}
|
rest integer?
-32
What is 0.00149 rounded to three decimal places?
0.001
What is 0.23934 rounded to two dps?
0.24
What is -728210 rounded to the nearest one hundred thousand?
-700000
What is 29240500 rounded to the nearest one hundred thousand?
29200000
What is -760870 rounded to the nearest one hundred thousand?
-800000
What is -64000 rounded to the nearest ten thousand?
-60000
What is -245 rounded to the nearest ten?
-250
What is 85190 rounded to the nearest 10000?
90000
What is 0.23431 rounded to 2 dps?
0.23
What is 163.52 rounded to the nearest ten?
160
Round -0.00893 to three dps.
-0.009
Round 0.0000035114 to seven decimal places.
0.0000035
Round 0.18252 to 3 dps.
0.183
Round 0.00013706 to 5 decimal places.
0.00014
Round 0.000001197 to 7 dps.
0.0000012
What is -12.543 rounded to 1 dp?
-12.5
What is -42547000 rounded to the nearest one million?
-43000000
Round -0.00015286 to 4 dps.
-0.0002
Round -0.0000041 to 6 dps.
-0.000004
What is 0.00000409 rounded to six decimal places?
0.000004
Round -73950 to the nearest ten thousand.
-70000
What is 0.000009379 rounded to 6 decimal places?
0.000009
What is -0.62228 rounded to one dp?
-0.6
What is -100.5 rounded to the nearest ten?
-100
What is -4.487 rounded to the nearest integer?
-4
Round -0.035767 to four dps.
-0.0358
What is -0.18528 rounded to one dp?
-0.2
What is -11.37 rounded to the nearest integer?
-11
Round 27.335 to 0 decimal places.
27
What is -0.00002761 rounded to six dps?
-0.000028
What is -0.000045459 rounded to six dps?
-0.000045
Round -1646200 to the nearest one hundred thousand.
-1600000
What is -0.00012638 rounded to five decimal places?
-0.00013
What is 0.00000672 rounded to five dps?
0.00001
What is -155400000 rounded to the nearest one million?
-155000000
What is 26250 rounded to the nearest 10000?
30000
What is -738950 rounded to the nearest 100000?
-700000
Round -0.0001001 to five dps.
-0.0001
Round 129088 to the nearest one thousand.
129000
What is -0.000054694 rounded to six dps?
-0.000055
What is -2.82694 rounded to two dps?
-2.83
What is 0.15668 rounded to three decimal places?
0.157
Round -0.00000006783 to 7 decimal places.
-0.0000001
What is -3850.6 rounded to the nearest ten?
-3850
What is 0.030942 rounded to 4 decimal places?
0.0309
What is -0.0090923 rounded to four dps?
-0.0091
What is -0.00056088 rounded to 4 dps?
-0.0006
Round -320000 to the nearest ten thousand.
-320000
Round 8683000 to the nearest 1000000.
9000000
Round 1175.1 to the nearest ten.
1180
Round 1010.8 to the nearest 100.
1000
What is -0.0513 rounded to two dps?
-0.05
What is -1810000 rounded to the nearest 1000000?
-2000000
Round 142840000 to the nearest one million.
143000000
What is -0.04685 rounded to 3 dps?
-0.047
Round -0.068986 to three decimal places.
-0.069
What is 0.0000044391 rounded to 7 decimal places?
0.0000044
What is 19900 rounded to the nearest 1000?
20000
What is -0.000040934 rounded to seven decimal places?
-0.0000409
Round 0.00008335 to 6 dps.
0.000083
Round 295702 to the nearest 10000.
300000
What is -0.0014361 rounded to 4 dps?
-0.0014
What is 0.00000825 rounded to 7 decimal places?
0.0000083
Round 0.0000479 to six dps.
0.000048
Round 0.00008429 to six dps.
0.000084
What is -104820 rounded to the nearest 10000?
-100000
What is -1067900 rounded to the nearest ten thousand?
-1070000
Round -0.00000094568 to 7 dps.
-0.0000009
Round 0.0034626 to four decimal places.
0.0035
Round -42.89 to the nearest integer.
-43
What is -0.0000080973 rounded to six dps?
-0.000008
Round 497.52 to the nearest 100.
500
Round 52100000 to the nearest one million.
52000000
What is 11290 rounded to the nearest 1000?
11000
Round 2.8268 to 2 decimal places.
2.83
Round 7491000 to the nearest one million.
7000000
What is -0.71407 rounded to one decimal place?
-0.7
What is -0.00938082 rounded to 3 dps?
-0.009
Round -0.2809 to one dp.
-0.3
What is 554420000 rounded to the nearest one million?
554000000
What is -56350 rounded to the nearest 10000?
-60000
What is 16563000 rounded to the nearest 1000000?
17000000
What is 3414.4 rounded to the nearest 1000?
3000
What is 2230000 rounded to the nearest one hundred thousand?
2200000
Round -786300 to the nearest ten thousand.
-790000
What is -0.00095 rounded to five decimal places?
-0.00095
What is -0.035957 rounded to three decimal places?
-0.036
What is -1149.1 rounded to the nearest integer?
-1149
What is -4089 rounded to the nearest one hundred?
-4100
Round 0.00001476 to seven dps.
0.0000148
What is 0.000031204 rounded to 6 dps?
0.000031
Round -1054000 to the nearest 100000.
-1100000
What is -0.00013524 rounded to six dps?
-0.000135
Round 3126900 to the nearest 10000.
3130000
What is -2586000 rounded to the nearest 100000?
-2600000
Round -0.0000427 to 5 dps.
-0.00004
What is -1634 rounded to the nearest one thousand?
-2000
Round -57.75 to 0 decimal places.
-58
Round 0.0027049 to 5 decimal places.
0.0027
Round 0.00895 to 4 dps.
0.009
What is 0.052 rounded to 1 decimal place?
0.1
What is 7450 rounded to the nearest 1000?
7000
Round 26890 to the nearest 10000.
30000
Round -835470 to the nearest 100000.
-800000
What is -7.5667 rounded to 0 decimal places?
-8
What is 75047.6 rounded to the nearest 10000?
80000
Round 0.00748 to 4 dps.
0.0075
Round 0.0006903 to 4 decimal places.
0.0007
Round -0.16 to one dp.
-0.2
Round 889600 to the nearest 100000.
900000
Round 460000 to the nearest 100000.
500000
Round -26.035 to one decimal place.
-26
Round 0.000029636 to 6 decimal places.
0.00003
What is -0.77362 rounded to three decimal places?
-0.774
Round -20373 to the nearest one thousand.
-20000
Round 0.00002279 to 6 decimal places.
0.000023
Round 0.26762 to two decimal places.
0.27
What is 63.1814 rounded to 0 decimal places?
63
What is -183300 rounded to the nearest 1000?
-183000
What is 10620000 rounded to the nearest one million?
11000000
What is 0.00006466 rounded to 5 decimal places?
0.00006
What is -149280 rounded to the nearest 10000?
-150000
Round -1.48 to one decimal place.
-1.5
Round 1.294 to one decimal place.
1.3
Round -0.6108 to 2 decimal places.
-0.61
Round -0.00000306 to seven dps.
-0.0000031
Round 8.804 to the nearest integer.
9
What is -70000000 rounded to the nearest one million?
-70000000
Round 0.00030234 to 6 dps.
0.000302
Round -18615000 to the nearest 100000.
-18600000
What is 46.451 rounded to the nearest 100?
0
Round 5020 to the nearest 100.
5000
What is -0.0000001656 rounded to 7 decimal places?
-0.0000002
Round 2950 to the nearest one thousand.
3000
What is -337700 rounded to the nearest ten thousand?
-340000
What is 0.0795 rounded to two decimal places?
0.08
What is -0.0004544 rounded to 4 decimal places?
-0.0005
What is -0.000977 rounded to four dps?
-0.001
Round 384 to the nearest one hundred.
400
What is -0.002363 rounded to 4 decimal places?
-0.0024
Round 0.03672 to two dps.
0.04
What is 2340 rounded to the nearest one thousand?
2000
What is -7.61 rounded to 0 decimal places?
-8
Round -78580000 to the nearest 1000000.
-79000000
What is 15195.5 rounded to the nearest 1000?
15000
What is 17.222 rounded to the nearest integer?
17
Round -0.0031848 to 5 dps.
-0.00318
What is -9.57 rounded to the nearest ten?
-10
Round 0.000033624 to seven dps.
0.0000336
What is -14533000 rounded to the nearest 1000000?
-15000000
Round 1128.3 to the nearest 100.
1100
Round 0.00000005 to seven decimal places.
0.0000001
What is 2111 rounded to the nearest one thousand?
2000
What is -0.71232 rounded to one decimal place?
-0.7
Round 0.00005964 to seven decimal places.
0.0000596
Round -0.00004919 to 7 dps.
-0.0000492
Round -16710000 to the nearest 1000000.
-17000000
Round 14.91 to the nearest integer.
15
What is -0.0001971 rounded to five decimal places?
-0.0002
What is -20896 rounded to the nearest 1000?
-21000
Round -102640 to the nearest 10000.
-100000
Round 121000 to the nearest 10000.
120000
Round -31 to the nearest integer.
-31
What is -0.12088 rounded to 2 decimal places?
-0.12
What is 6840000 rounded to the nearest one million?
7000000
Round -323.1 to the nearest ten.
-320
Round -3998 to the nearest one hundred.
-4000
What is -3203000 rounded to the nearest one hundred thousand?
-3200000
Round -64.49 to the nearest ten.
-60
Round 5.5465 to one dp.
5.5
What is -970
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 5*h**2 + 3*h**2. Suppose -4*r - 18 = -2. Determine w(r).
-26
Let y(n) be the second derivative of n**4/6 - 2*n**3 - 13*n**2/2 - 3591*n. Give y(7).
1
Suppose 5 = 6*w + 41. Let s(u) = -20*u + 5. Let q(t) = 7*t. Let g(l) = -15*q(l) - 5*s(l). What is g(w)?
5
Let f = -272 + 266. Let i(u) = -52*u - 297. Let x be i(f). Let h(w) = -w**3 + 16*w**2 - 16*w + 20. Give h(x).
5
Let c(p) = -8*p - 15. Let f(x) = 11*x + 16. Let u(r) = -4*c(r) - 3*f(r). Let i be 2/((-1)/(-3)*2). Let l(j) = -13. Let a(g) = i*u(g) + 2*l(g). Determine a(7).
-11
Let x(w) = -2*w**2 - 50*w - 293. Let f be x(-15). Let a be (-8)/3 - 2/6. Let l(u) = u - 6. Let n(c) = c - 7. Let i(m) = a*n(m) + 2*l(m). Calculate i(f).
2
Let k(r) be the third derivative of -r**6/720 - r**5/60 - 7*r**4/4 + r**3/3 - 42*r**2. Let z(m) be the second derivative of k(m). Calculate z(-3).
1
Let o(j) = j - 4. Let i(u) = -2*u + 9. Let q(a) = -3*i(a) - 7*o(a). Let x(d) = 10*d + 199. Let m be x(-20). Give q(m).
2
Let u(h) = -15*h**2 - 5*h - 176. Let k(s) = -13*s**2 - 5*s - 153. Let d(o) = 7*k(o) - 6*u(o). Determine d(0).
-15
Let a(r) = -r**3 + 8*r**2 - 3*r - 6. Suppose -5*b - 3*y + 28 = 0, 0*y = y - 1. Suppose -2*f = -9*h + 13*h - 16, 31 = b*f + h. Determine a(f).
48
Let s be (-8)/52 - (-15070)/(-65). Let r = -233 - s. Let w(o) = 11*o - 1. Give w(r).
-12
Suppose -12*g = -14*g - 342. Let q = g + 171. Let u(v) = -v - 12. What is u(q)?
-12
Let a(j) = -j**3 - 26*j**2 - j - 17. Let g = -38825 + 38799. Determine a(g).
9
Let g(r) be the second derivative of -r**5/4 + r**3/2 - r**2 + 5*r + 6. Let d be 63/189 - (-1 - (-1)/3). What is g(d)?
-4
Let q(d) = -238*d**3 - 501*d**3 - 13*d**2 + 740*d**3 + 4*d. What is q(13)?
52
Let s(q) = q**2 + 22*q + 42. Let o be 12/(-9)*(-280)/42*36/(-16). What is s(o)?
2
Let a = -1 - 0. Let x(r) = 9*r**2 - 4*r - 5. Let o(n) = 12*n**2 - 5*n - 6. Let i be ((-10)/(-20))/(1/10). Let d(p) = i*o(p) - 6*x(p). Give d(a).
7
Let n = 10119 - 20235/2. Let x(y) be the first derivative of -n*y**2 + 0*y - y**3 + 13. Give x(-2).
-6
Let o(t) = -t**2 + 5*t + 8. Let s be 9*-1*(-55)/(-15). Let f = 35 + s. Suppose 18 = f*r + r. Give o(r).
2
Suppose -66*u - 30 = -142*u + 70*u. Let s(b) = 35*b - 181. Give s(u).
-6
Let x(h) = -325 + 297 - 874*h**2 + 876*h**2 + 33*h. What is x(-17)?
-11
Let c(z) = -178*z - 26. Let j(l) = 36*l + 5. Let t(q) = 4*c(q) + 22*j(q). What is t(-1)?
-74
Let v(o) = o**3 + 14*o**2 + 17*o + 37. Let u be v(-12). Suppose -21*m + 68 = -u. Let s(q) = q**3 - 10*q**2 + 8*q + 5. What is s(m)?
-4
Let w(a) = -77*a**3 - 21 + 75*a**3 - 32*a**2 + 25*a + 6*a**2 - 26*a + 7. Calculate w(-13).
-1
Let l(g) = g**3 + 3*g**2 + 2*g + 3. Let y = 171 - 156. Suppose -91*u + 86*u = y. Determine l(u).
-3
Let a be 861/273 + (-4)/26. Suppose -4*u - 32 = 2*b, 9*u - a*b = 10*u + 13. Let d(g) = -g - 7. Calculate d(u).
0
Suppose 3*m = -2*m + 15. Let c(p) = 148 + p + 2 - 157. Determine c(m).
-4
Let b(d) = 5*d**2 - 7*d + 1. Let l(a) = a**2 - a + 1. Let w be -2*((-243)/(-6) + -1 - 0). Let k = -75 - w. Let v(t) = k*l(t) - b(t). Give v(3).
3
Let f(p) = 6*p**2 + 5*p + 7. Let z(r) = 5*r**2 + 5*r + 6. Suppose 66 = 4*a + 46. Suppose 7 = -2*b - 1. Let k(j) = a*z(j) + b*f(j). Give k(-4).
-2
Suppose 8 - 44 = -6*q. Let h(a) = 13 + 19 - 24 + a - 2*a. Calculate h(q).
2
Let j be (-17 + 2)*(4/10)/(-1). Suppose -2*q = 5*v - 10, q + 4*v = j*v - 4. Let s(r) be the first derivative of r**2/2 - 2. What is s(q)?
0
Let t = 27 - 21. Let y be t/(36/15)*2. Suppose -5 = 9*l - y. Let z(s) = -s**2 - s + 4. Give z(l).
4
Let m(b) be the second derivative of -25*b**3/6 - 145*b**2/2 - 132*b. Give m(-5).
-20
Let v(p) = -15*p + 12*p - 4 + 44. Let o be v(11). Let f(n) be the first derivative of -n**4/4 + 8*n**3/3 - 7*n**2/2 - 6*n - 2. Determine f(o).
-6
Let g(x) = -51*x + 3357. Let y be g(66). Let l(u) = -7*u - 28. Give l(y).
35
Let w(b) be the second derivative of -b**5/20 - 13*b**4/12 + 7*b**3/3 - 5*b**2 - 2*b + 1331. Give w(-14).
-10
Let j(q) = q + 3. Let d(a) = -a**2 + 15*a - 20. Let i be d(15). Let m = i + 24. Suppose -4*k - 3*o - 29 = 0, 22 = 5*k + m*o + 58. What is j(k)?
-5
Let j = 21728/3 - 7242. Let p(l) be the third derivative of 0*l + 5/24*l**4 - 22*l**2 - j*l**3 + 0 - 1/60*l**5. What is p(3)?
2
Let c(t) = t**2 + 8*t - 13. Suppose 0 = 6*w - 32 - 4. Suppose w = 2*z + 26. What is c(z)?
7
Let h(w) = -w**3 - 2*w**2 + 1. Suppose 4*b + 12 = 2*d, -3*d - 12*b + 7*b + 7 = 0. Let v be 6/d*(31 + -33). What is h(v)?
10
Let v(c) = 7*c - 18. Let s = 3761 - 3758. Determine v(s).
3
Let o(k) = 5*k**2 - 49*k - 8*k**3 + 10*k + 20*k + 3*k + 13*k. Give o(1).
-6
Let q(r) = -8*r - 9. Let b = -8303 + 8310. Calculate q(b).
-65
Let x = 33 + -15. Suppose 7 = 4*z - o, -5*z - 2*o = -7 - x. Let k(f) = -8*f**2 + 6*f**3 - 8*f**3 + 3*f**3 - 4*f**2 + 9*f**2 + 4. Give k(z).
4
Suppose 0 = 2*f - 5*d - 47, -44*f + 40*f + 31 = -d. Let x(m) = -m**3 + 7*m**2 + 6*m - 13. Give x(f).
59
Let m be (-34)/7 - (-4)/(-28). Let k(x) be the first derivative of -6*x - 1/4*x**4 - 3*x**2 - 25 - 2*x**3. Give k(m).
-1
Let y(c) = 33*c**2 + 2*c - 110. Let v(p) = 29*p**2 + 4*p - 109. Let z(u) = -8*v(u) + 7*y(u). Give z(4).
14
Let k(v) = -v**2 - 8*v + 3. Let r be 171/(-6)*128/(-24). Suppose -4*d = -5*a - 431, 0 = 4*a + d + r + 197. Let i = a + 80. What is k(i)?
10
Let c = 16195 + -16182. Let d(s) = s**3 - 13*s**2 - 12. Calculate d(c).
-12
Let r(k) = 5*k. Let l(a) = 28*a + 41. Let z(t) = l(t) - 5*r(t). Give z(-12).
5
Let d(p) = -p + 33. Let j be d(34). Let c(b) = 12*b**2 - 6*b + 8. Let t(n) = 11*n**2 - 5*n + 7. Let r(s) = -6*c(s) + 7*t(s). Determine r(j).
5
Let f(t) be the third derivative of -t**7/2520 + 7*t**6/720 - t**5/60 - t**4/3 - 4*t**2 + 5. Let o(s) be the third derivative of f(s). Calculate o(5).
-3
Let y(g) = g - 1. Let c(h) = 10*h - 20. Let n(v) = -2*c(v) + 18*y(v). Give n(0).
22
Let z(t) = 15*t + 2. Let n be 1 - (0 + 0)*(-1)/5. Calculate z(n).
17
Let x(b) be the first derivative of b**6/120 - b**5/15 - b**3/2 + b**2 + 25*b - 18. Let d(h) be the second derivative of x(h). Calculate d(4).
-3
Let m(y) = -y**3 + 0*y**2 + 5*y**2 - 8*y**2 + 115*y - 15*y**2 - 117*y + 10. Calculate m(-18).
46
Let p be (-42)/5 + (-12)/(-30). Let k(f) = f**3 - 6211*f**2 + 6219*f**2 - 7 - 21*f + 17*f. Calculate k(p).
25
Let n(o) = 33*o - 658. Let x(y) = -353*y + 1432. Let l be x(4). What is n(l)?
2
Let o(b) = b - 2*b**2 - 10 - 4817*b**3 + 2398*b**3 + 2415*b**3. Give o(3).
-133
Let f be -1 + 3/((-6)/(-4)). Let o(y) = -2*y + 1 - 120*y**2 + 259*y**2 - 123*y**2. Give o(f).
15
Let s(m) = -2*m**2 + 17*m + 6. Let d(l) = 2*l**3 + 24*l**2 + 11*l - 112. Let r be d(-11). Determine s(r).
-3
Let a = -44 - -37. Let f(o) = o**2 + 9*o + 15. Let n be f(a). Suppose 4*l - 3 = v, -3*l - l + 5*v = n. Let h(k) = k + 1. Determine h(l).
2
Let n(o) be the second derivative of -o**5/20 - o**4/4 + o**3/6 + 5*o**2/2 + 54293*o. Let l be -1 - (-1)/((-2)/6). Give n(l).
17
Let s be ((-20)/80)/((-3)/(-24)). Let m(o) = -o**3 + 2*o**2 - 6. What is m(s)?
10
Let g(t) be the first derivative of 35*t**3/3 + 71*t**2 - 3*t + 2160. Give g(-4).
-11
Let b(o) = -o**3 - 13*o**2 - 15*o - 14. Suppose -168 = -3*w - f + 830, w = 2*f + 342. Let l = -346 + w. Determine b(l).
22
Let s be (456/(-1824))/(1/60). Let l(k) = 9*k + 90. Determine l(s).
-45
Let q be (4*(-9)/6)/1. Let o(c) = -29*c - 13. Let d(g) = -13*g - 6. Let m(b) = 2*b**2 - 9*b + 13. Let k be m(3). Let p(y) = k*o(y) - 9*d(y). Determine p(q).
-4
Let m(r) be the third derivative of -r**5/60 - r**4/4 + r**3/3 - 2*r**2. Let z be (-18 - 12 - -31)*-4. Give m(z).
10
Suppose -4*z = m - 35, 84*m - 88*m - 60 = -4*z. Let o(g) = -g**2 + 9*g + 21. Determine o(z).
11
Let q(y) = 26*y - 157. Let v be q(6). Let l(g) = 6*g**2 - 4*g - 2. Give l(v).
8
Let i(h) = 10*h + 8*h - 74 + 10*h - 26*h. Calculate i(37).
0
Let h(q) = q**3 + 48*q**2 + 285*q - 18. Let r be h(-7). Let b(c) = -c**3 - 4*c**2 + 3*c + 7. Determine b(r).
-5
Let i(z) = -z**3 - 2*z**2 + 42*z + 108. Let q be i(-3). Let v(d) = d**3 + 9*d**2 + d - 8. What is v(q)?
-17
Let a(t) = t + 31. Suppose 5*v - 5*h + 65 = 0, 11*h - 6*h + 52 = -4*v. Determine a(v).
18
Let s(r) = -r**2 - 15*r - 20. Let t be (-3 - 3) + 3/(-1) - (27 + -24). Calculate s(t).
16
Let p(j) be the third derivative of -5*j**4/24 - 5*j**3/6 + 17*j**2. Let s(k) = 4*k + 10 + 15*k - 10*k. Let n(q) = 5*p(q) + 3*s(q). Gi
|
{
"pile_set_name": "DM Mathematics"
}
|
smallest value in 1/9, x, -0.12?
-0.12
Let s = -21125/8393 + 406/109. Let k = 2/839 + 5851/9229. Let d = k - s. Which is the second biggest value? (a) -5/3 (b) d (c) 0.2
b
Suppose 0 = -3*z - 5*l - 3, -2*z + 20 = -2*l - 2*l. Let c = 2.6 + -0.6. What is the smallest value in -1/3, c, z?
-1/3
Suppose -2*k - 3*l - 12 = -5*l, -14 = 3*k - l. Which is the biggest value? (a) k (b) -0.4 (c) 1.3
c
Let t = -0.2 - -0.08. Let p = t + 0.22. What is the second smallest value in p, 2/7, 0.3?
2/7
Let w = 1 - -4. Let a be (w + -2)*(-6)/81. Suppose k - 3*g + 27 = -4*k, 4*k = g - 16. What is the biggest value in k, -1/3, a?
a
Let u = 81 + -242/3. Let w = 0.1 + -0.2. Let v = w + 0.6. What is the biggest value in v, -1, u?
v
Let k = 0.7 + -3.9. Let c = -2.8 - k. What is the third biggest value in c, 1/5, -5?
-5
Suppose -2*w = 4*b + 198, -4*b + 0*b + 2*w - 218 = 0. Let t be 1/2 + b/72. What is the smallest value in 2/7, 0.5, t?
t
Let v = -0.2 - -0.4. Let i(m) = 3*m**3 - m**2 + 1. Let f be i(1). Suppose -t - 2*t + 4*l = 7, l + 5 = f*t. What is the second biggest value in t, v, -0.4?
v
Let m = 21 - 23. Let d = 1 + m. Let q = -566/7 + 81. Which is the second smallest value? (a) q (b) d (c) 2
a
Let q = -7 - -3. Let i = q - -4. Let g = i + 0.3. Which is the third smallest value? (a) 4/7 (b) g (c) 2/7
a
Let y = 0.63 + -0.63. Which is the smallest value? (a) 0.1 (b) y (c) -2
c
Let f(x) = x - 3. Let h be 7*(-1)/(-3)*3. Let a be f(h). Let g(u) = u**2 + 6*u - 1. Let s be g(-6). What is the third biggest value in -0.4, a, s?
s
Let q = 135 + -145.1. Let p = -10 - q. What is the second biggest value in -5, p, 3?
p
Let h = -0.43 + 0.03. What is the smallest value in h, 2/39, 1?
h
Let g(z) = -z - 4. Let f be g(-9). Which is the third biggest value? (a) 9 (b) f (c) 3
c
Let k = -2/83 + -148/747. Let p be ((-1)/2*-3)/6. What is the biggest value in 5, k, p?
5
Let f = -29 + 117/4. Which is the second biggest value? (a) -5 (b) f (c) 3
b
Suppose 2 + 9 = 3*f + x, -5*x = -3*f + 17. What is the third biggest value in 5, -1, 0, f?
0
Let n be (-535)/(-35) - 2/7. Suppose 9 = 3*k - s, 3*s - n = -0*k - 5*k. What is the third smallest value in -5, 0, k?
k
Let p be (-3)/(-3) - 5/4. What is the smallest value in p, 2/25, 5?
p
Let n = 0.1 - -0.9. Let p = 0.4 - 0.2. Which is the smallest value? (a) n (b) p (c) 0.4
b
Let t = 137 + -139. What is the second smallest value in -12, -5, t?
-5
Suppose 1 = -f + 2*f. Suppose -5*x = -3*u + 14, 4*x + f = 5*u - 5. Which is the third smallest value? (a) 3/7 (b) x (c) 3
c
Let m = 0.2 - 0.28. Let r = -0.52 - m. Let z = r + 0.04. What is the second biggest value in 4/9, z, -1?
z
Let m = -0.6 - -2.6. Let y be ((-5)/(-25))/((-1)/4). What is the third biggest value in y, 0.3, m?
y
Let f(r) = r**3 + 4*r**2 - 3*r + 6. Let x be f(-5). Which is the third biggest value? (a) -0.4 (b) 0.08 (c) x
c
Let l be (0/4)/((-7 + 2)/5). Let d = -0.12 - -0.06. What is the smallest value in l, d, -2?
-2
Let x = 42 + -290/7. Which is the biggest value? (a) 0.4 (b) x (c) -0.2
b
Let q be 13/(-3) + (-4)/6. Let h = q - -3. Which is the second biggest value? (a) -0.2 (b) -5 (c) h
c
Let p(l) = -l**3 - 7*l**2 + 2*l + 2. Let y be p(-7). Let n = 23/2 + y. Let o = -0.8 + 1.3. Which is the second biggest value? (a) 0 (b) n (c) o
a
Let q be ((-4)/8)/(27/78). Let k = q + 5/3. Which is the biggest value? (a) k (b) 1/4 (c) -1/19
b
Let l be (0 - 3)*-1 + -15. Which is the smallest value? (a) l (b) -0.3 (c) 0.5 (d) 0.2
a
Let f = 8 - 13. Let z = 4 + -10. Let l = -8 - z. Which is the third smallest value? (a) f (b) -2/11 (c) l
b
Let h(n) = n**2 + n - 2. Let j be h(2). Suppose j*q = 3*q - 3. What is the third smallest value in -4, -2/3, q?
-2/3
Suppose 2 = -k, 4*r - 3*k = 5 + 9. Which is the fourth biggest value? (a) -0.5 (b) 0.3 (c) 0.1 (d) r
a
Let x = -2.7 - -3. Let h = 7 - 8. Let p = -6 - h. Which is the second smallest value? (a) p (b) x (c) -2/9
c
Let d be ((-1 + 3)*3)/16. Which is the biggest value? (a) -3 (b) -8 (c) d
c
Let w = -0.076 - -3.076. What is the third biggest value in w, -7, -1, 2/7?
-1
Let y = -4.07 - -0.07. Which is the third biggest value? (a) y (b) -6/11 (c) -5
c
Let q = 2 + -1.7. What is the second biggest value in q, -2/9, 2/3?
q
Let u be (2/(-18))/((-10)/(-30)). Suppose 0 = -2*m + 2*b - 3*b - 1, 5*m = 2*b - 16. Let i be m/3 - (-2)/12. What is the biggest value in 4, i, u?
4
Let n = -12.1 - -13.1. Which is the fourth smallest value? (a) n (b) 3/13 (c) 1/4 (d) 3
d
Let t = 9/4 + -3. Suppose 3*g + 4 = 8*i - 10*i, 4 = 4*g + 5*i. What is the biggest value in 1, g, t?
1
Suppose -3*n = -n - 2. Which is the second smallest value? (a) 0.13 (b) n (c) -0.3
a
Let f = -7.6 - -3.3. Let w = f + 4. What is the third smallest value in 4/9, w, 3?
3
Suppose -4*g + 2*g = 0. Let c(y) = -y + 5. Let x be c(g). Let f be ((-2)/(-3))/(x/(-3)). What is the second biggest value in f, 1, 2?
1
Let m = -11 + 8. Let d = 7 + -3. What is the second smallest value in m, d, -1/3?
-1/3
Let d(q) = 13*q**2 + q - 5. Let h be (1/2)/((-2)/16). Let u be d(h). Let l = 1789/9 - u. Which is the third biggest value? (a) -0.5 (b) l (c) 0.5
a
Let l = 3 - 2. Let y = -1.2 + l. Let i = -0.2 - y. What is the biggest value in 4, 0.4, i?
4
Let y = -68785 + 5296812/77. Let j = 54/11 - y. Let g = -5.2 + 0.2. Which is the third biggest value? (a) g (b) j (c) 0
a
Let l = -69.2 - -82. Let q = 13 - l. Which is the biggest value? (a) q (b) 0.5 (c) -1/2
b
Let j = -35 - -35.28. Let k = 0.08 + -0.1. Let n = j - k. What is the second smallest value in -2, n, 0.5?
n
Let m = -93/2 - -47. Which is the third smallest value? (a) 1 (b) 5 (c) m
b
Suppose 12*l - 5 = 11*l. Let n = 0 + 0. Which is the biggest value? (a) l (b) 2 (c) n
a
Let f = -5 + 8. Let j be f - 3 - 15/3. Let t = -0.4 - 1.6. Which is the third smallest value? (a) j (b) t (c) 3
c
Let s = 2.3 + 0.7. Let b = 1.2 - 0.2. Let n = b - s. What is the biggest value in 0.5, n, -5?
0.5
Let v be ((-1)/2*-2)/1. Let r = -2162/15 + 198469/1380. Let g = r - -3/46. Which is the second biggest value? (a) g (b) v (c) 0.3
c
Let r = -81 - -79. Let n be 1*2 + 36/(-20). Which is the second biggest value? (a) -5 (b) r (c) n
b
Let h be 2/4 - 1/4. Let j = 0.3 - 0.8. Let o = 0.4 + 4.6. What is the third smallest value in j, h, o?
o
Let t = 5 + -4.6. Let f = 0.72 - 0.7. Let g = 0.52 - f. Which is the second biggest value? (a) t (b) g (c) 1
b
Let y = 3.75 + 0.25. Let u be 1 - (-2)/(-4)*-3. What is the second biggest value in u, y, 3?
3
Let b = 0.03 + 0.47. Let h be (1/(-6))/((-2)/(-4)). What is the biggest value in b, h, -2/9?
b
Let g = -239/36 - -27/4. Let z be 2/(-5) - (-69)/(-15). Which is the third biggest value? (a) 1 (b) z (c) g
b
Let q = -0.29 - -16.29. Let s = -15.6 + q. What is the biggest value in -2/9, s, -1/7?
s
Suppose -230 = 4*m + 122. Let f = m - -442/5. Suppose -3*b = 3*w + 6, 4*w + 8 = -3*b - 2*b. What is the second biggest value in f, -4, b?
b
Let s = -1/70 - -3/10. What is the smallest value in s, 3, -0.2, 2?
-0.2
Let b = -0.21 - -2.41. Let c = b - 4.2. What is the second smallest value in c, -1, 1/3?
-1
Suppose -a = -4*k - 0*a - 5, -3*a = -k + 7. Let h be -2*5/8 - k. What is the third smallest value in h, 0.2, 2/21?
h
Let i = -0.06 - 3.94. Suppose 0*r = -2*r - g + 18, 0 = -5*r - 2*g + 45. Let m be (6/r)/((-2)/(-3)). Which is the third biggest value? (a) i (b) m (c) 2/5
a
Let n(f) = f**3 + f**2 + 4*f - 4. Let o be n(0). Which is the biggest value? (a) 2/9 (b) 4/3 (c) o (d) -0.18
b
Suppose 1 + 9 = 5*d. Let p = 3 + -3.3. Let o = 0 - p. What is the smallest value in d, 3, o?
o
Let g = -248/663 + 10/39. Let v = 0.51 - 0.31. What is the third smallest value in 1, v, g?
1
Let a = -6 + 1. Suppose q + 12 = -3*q. Let t be 1*(15/4)/3. What is the third biggest value in a, q, t?
a
Suppose -2*v = -7 + 1. Let s = 80.5 + -80. Which is the second biggest value? (a) s (b) v (c) -0.1
a
Let o = 0.04 + 0.26. Let s be -9 - 9/((-9)/3). Let q be ((-2)/s)/((-3)/45). Which is the biggest value? (a) q (b) 0.5 (c) o
b
Let k be (-8)/12*(-4)/(-6). Let h = -6.7 - -7. Which is the second smallest value? (a) h (b) k (c) -4
b
Suppose 4*l - l - 24 = 4*t, -23 = t - 5*l. Which is the fourth biggest value? (a) 0.3 (b
|
{
"pile_set_name": "DM Mathematics"
}
|
(c) 16
c
Let r = 351 + -1055/3. What is the biggest value in -1, r, -0.2?
-0.2
Let p = 2 + -1. Let v = 125.8 - 125. Let z = p - v. Which is the third smallest value? (a) -4 (b) z (c) -0.1
b
Let n = -0.274 + 0.324. What is the biggest value in 0.1, n, -4, 5?
5
Let p be ((-42)/(-140))/(6/(-8)). Let i = 6 + -9. Which is the third smallest value? (a) i (b) p (c) 2/11
c
Let o(g) = -2*g**2 - 25*g + 10. Let k be o(-13). Which is the third smallest value? (a) 0.1 (b) 2/13 (c) 0.2 (d) k
b
Let o = -26.5 - -26.5. Which is the third smallest value? (a) 0.07 (b) -0.1 (c) o
a
Let p = 24.5 - 18.5. Which is the fourth smallest value? (a) -3 (b) p (c) 2/5 (d) 0.3
b
Suppose k + 55 = 5*v, -k - 105 = 2*k - 3*v. Let s = k + 35. Which is the biggest value? (a) 0.4 (b) 0.2 (c) s
c
Let z(i) = 19 - i - 19. Let y be z(-4). Let x = 37 - 110/3. Which is the second smallest value? (a) x (b) -0.04 (c) y
a
Let w = -290 + 289.6. What is the smallest value in 0, -2/11, w?
w
Let s = -5035 - -5037. Let u = -0.24 + -0.06. What is the fourth smallest value in 1/4, s, u, -3?
s
Let o = 5934/7 - 846. What is the biggest value in o, -3, -0.5?
o
Let y be 8/(-9) - (-58)/87. Let t be (-16)/24 + 2/2. What is the third biggest value in y, 1.8, t, -4?
y
Let n = -1805/7 - -257. Which is the second smallest value? (a) -2.1 (b) n (c) 1/5 (d) 3/4
b
Let l = -1339/7 + 191. Let g = -0.0489 - -7.0489. What is the second biggest value in 1, l, g?
1
Let j = 0.83 - -0.27. Let r = -4.47 - -0.57. Let z = r - j. What is the second biggest value in z, -0.2, -3/2?
-3/2
Let q = 9/40 - 57/40. What is the fourth smallest value in q, -3/5, -0.4, 4?
4
Let j(m) = -m**3 + 29*m**2 - 29*m + 25. Let c be j(28). What is the second smallest value in 5, c, -0.2?
-0.2
Let t = -0.95 + 2.95. Let i = -3.96 - -4. Let z = 0.44 - i. What is the second smallest value in -2/9, t, z?
z
Let y = 138 + -143. What is the smallest value in y, -11, 5, -1/2?
-11
Let j = 23.495 + -0.095. Let q = -23 + j. Which is the third biggest value? (a) -0.2 (b) q (c) 5
a
Let k = -5.67 - -3.67. Which is the fourth smallest value? (a) 4 (b) 0.3 (c) k (d) -4
a
Let s = 0.371 + -0.071. Let r = -0.34 + 0.04. Let m = -218 - -3708/17. Which is the biggest value? (a) s (b) r (c) m
a
Let j = -168 + 168.5. Let f = 0.5 - 0.1. What is the smallest value in -1/6, f, 3, j?
-1/6
Let g(n) = -2*n - 4. Let c be g(0). Let d be (-1)/c*(-10 + 12). Let w(y) = -2*y + 3. Let r be w(4). What is the smallest value in 3, r, d?
r
Let g = 396.9 + -397. Which is the third biggest value? (a) 131 (b) g (c) 3
b
Let k = 97.31 + -4.31. Which is the third biggest value? (a) -1/2 (b) k (c) 0
a
Let f = 0.6 - 0.6. Suppose -3*x + 5*p + 5 = 4*p, -4*x + 11 = 3*p. Let u = 71/33 + -20/11. What is the second biggest value in f, x, u?
u
Let j = -96/5 + 20. What is the second smallest value in j, 1/13, 2, 0.4?
0.4
Let q = -32.6 + 31.3. Which is the fourth biggest value? (a) 2 (b) -3/7 (c) -0.5 (d) q
d
Let v = 334 - 332. What is the second smallest value in 4, v, 0, -2?
0
Let y = -100.1 + 99.7. What is the third biggest value in y, -2, -5, -13?
-5
Let b = -3.9202 + -0.0798. What is the second biggest value in 0, 2/43, b?
0
Let m(u) = -131*u - 9. Let l be m(-1). What is the biggest value in 2, -4, l?
l
Let z = 324 - 323.9. Which is the fourth smallest value? (a) 1/3 (b) -3 (c) z (d) 5
d
Let l = -59.9 + -2.1. Let b = 61.9 + l. What is the third smallest value in -1, -2/13, b?
b
Let w = 0.107 - -4.893. Which is the biggest value? (a) 2/3 (b) -4 (c) 1/10 (d) w
d
Let m = -472 - -471. Let o be 2/4*(4 - 2). What is the third biggest value in -0.2, o, m?
m
Let k = 118.5 - 118. Suppose 0*q + 3*q = -4*h, 5*h + 2*q - 7 = 0. What is the second biggest value in 2/7, h, k, -1/5?
k
Let k be (-231)/(-12) - 2/8. Suppose -5*u + 3*i - k = 0, -i = 2*u - u + 7. Let m = -1007 + 1006. What is the third smallest value in u, -2, m?
m
Let h = -19.487 + 19.4. Let c = h - 0.013. What is the fourth biggest value in 0.1, c, 2/3, -3?
-3
Let c be (15 + -13)/(4/40*5). What is the smallest value in -2, 0.1, 0.021, c?
-2
Let r be (-3 - -4)/(12/(-18)*3). What is the second smallest value in 14, r, 0.5?
0.5
Suppose 3*o = 4*o - 6. Suppose 0*y = -o*y - 12. Let m = -3.1 + -1.9. Which is the second smallest value? (a) m (b) y (c) 5
b
Let f = 106 - 104. Let o = -0.17 + -2.83. Which is the second biggest value? (a) f (b) o (c) 2/3 (d) 0.6
c
Let n(r) = 2*r + 22. Let b be n(-11). Let i be (-60)/88 - (-2)/4. What is the fourth smallest value in -2/15, i, -0.2, b?
b
Let q = -0.54 - -2.54. What is the fourth biggest value in 1/10, -0.1, 4/5, q?
-0.1
Let a = 425 - 405. What is the smallest value in 0, 5, a, -4?
-4
Let d = -2.18 + 2.19. What is the smallest value in d, -16, -5?
-16
Let f = -5 - -5.5. Let q = -13 - -17. What is the second smallest value in f, q, -4?
f
Let p = 3 - 13/5. Which is the third smallest value? (a) p (b) 0.1 (c) -5 (d) -0.2
b
Let j = -0.16 + 0.04. Let q = 22 - 21.58. Let i = q + j. Which is the third biggest value? (a) -2 (b) -0.1 (c) i
a
Let t = -22598/77 - -2055/7. Let x = 0 - 7. What is the third biggest value in 7, x, t, 5?
t
Let p = 3.1 + -0.1. Let k = 1.65 + 0.15. Let s = k + -2. What is the third smallest value in s, p, -0.4?
p
Suppose -15 = -4*r - 3. Suppose 5*v = -4*x - 22, 0 = 2*x - 3*x - r. Suppose c + 1 = -6*q, -5 = -5*q - 2*c - 14. What is the third biggest value in v, -0.05, q?
v
Let h(l) = -l**3 + 10*l**2 + 12*l - 14. Let k be h(11). Let g be 5/(-15)*13 - -6. Which is the fourth smallest value? (a) 3 (b) -0.1 (c) k (d) g
a
Let k = 15 - 19. Let w be k/(-3 + 2) - 0. Which is the smallest value? (a) -5 (b) -0.1 (c) w
a
Let v be (-1)/(-2) - (-4)/(-8). Suppose -2*j + v = -6. Let y = 1274/11 - 116. Which is the smallest value? (a) -5/6 (b) j (c) y
a
Let y = 26 + -131/5. Let r = -0.664 - -0.964. Let u be 2/4*(-1)/2. Which is the third biggest value? (a) y (b) r (c) u
c
Let f = 6 - 5.7. Let z = -0.183 - 0.017. Let l = z - 0. Which is the second biggest value? (a) 0.9 (b) l (c) f
c
Let o = 393 - 390. Let p = 0 + 0.1. Let r(d) = d**2 - 7*d. Let u be r(7). What is the second smallest value in u, p, o?
p
Let m = -150 - -152. What is the smallest value in 0.02, 3, m, 2/13?
0.02
Let d = 34/3 + -250/21. Let w = -275 - -275. Which is the biggest value? (a) d (b) w (c) 4
c
Let g = 3 + -5. Let z = 20678 - 20682. Which is the second biggest value? (a) -0.2 (b) -2/21 (c) g (d) z
a
Let h = 2.01 - 0.01. Let x = -6458 - -6463. Which is the third biggest value? (a) -2 (b) x (c) h
a
Suppose 0 = 2*p - 4, 2*x + 3*p - 5 - 19 = 0. Let f be (x - 11)*5/2. What is the third biggest value in f, -14, 0.3?
-14
Let o(f) = -f + 15. Let d be o(-6). Suppose 4*w + d = 3*y - 2*y, -y = w + 4. What is the second biggest value in 0.1, y, -8?
0.1
Let g = 0.274 + -1.674. Which is the second smallest value? (a) -0.01 (b) 1 (c) g
a
Let h = -360 - -340.1. Let t = -20 - h. Let r(v) = v - 5. Let z be r(5). What is the biggest value in z, t, 5?
5
Suppose 5*x - 2*x = 0. Let q = 10 + 21. Let k = q - 31.1. Which is the third smallest value? (a) k (b) x (c) -4
b
Let o = -497 + 497.2. Let r = -4 + 1. Which is the third smallest value? (a) o (b) r (c) -2/5 (d) 0.4
a
Let g = 28.8 + -29.3. Which is the second smallest value? (a) -5 (b) g (c) -18 (d) -2
a
Let z be (8/14)/(4/(-2)). Let g = 0.27 + 10.73. Let r = -12 + g. Which is the second biggest value? (a) r (b) z (c) 0.5
b
Let d = -0.28 - 0.14. Let r = 0.61 + d. Which is the second biggest value? (a) 3 (b) r (c) -1
b
Let s = 1564 + -1570. Which is the fourth biggest value? (a) -2 (b) -0.06 (c) s (d) -0.3
c
Let u = 59 + -53. Let t = -19 + 19.4. Which is the second smallest value? (a) t (b) 5 (c) u
b
Let z be -1 - (696/28)/(-3). Let l = 276/35 - z. What is the third smallest value in l, 7, -0.5?
7
Let s be (6/27*3)/(100/(-450)). Which is the smallest value? (a) 0 (b) 75 (c) s (d) -5
d
Let r = 1469/9 - 163. Let y = -2 - -3. Let w = 1.9 - y. What is the third smallest value in -0.3, r, w?
w
Let b be (-2)/12*6*-1. What is the second smallest value in 2, 2.87, b?
2
Let g = 1142 + -1142. Which is the second biggest value? (a) 4 (b) g (c) 3/4 (d) 2/5
c
Let d = -97 - -95.98. Let g = d +
|
{
"pile_set_name": "DM Mathematics"
}
|
8?
14
What is the highest common divisor of 48 and 24?
24
What is the highest common factor of 429 and 286?
143
What is the greatest common divisor of 3483 and 162?
81
What is the greatest common divisor of 266 and 56?
14
What is the greatest common divisor of 8856 and 41?
41
What is the highest common factor of 2 and 1878?
2
What is the highest common divisor of 38 and 418?
38
What is the greatest common divisor of 19323 and 19?
19
What is the highest common factor of 236 and 33394?
118
What is the greatest common divisor of 61470 and 90?
90
Calculate the greatest common divisor of 54 and 4563.
27
What is the greatest common divisor of 470 and 230?
10
Calculate the highest common divisor of 2660 and 105.
35
Calculate the greatest common divisor of 392 and 21.
7
What is the greatest common divisor of 2472 and 1030?
206
Calculate the greatest common divisor of 16 and 1664.
16
What is the highest common factor of 20 and 10460?
20
Calculate the greatest common divisor of 2167 and 22.
11
Calculate the highest common factor of 21 and 13349.
7
Calculate the highest common factor of 770 and 242.
22
Calculate the highest common factor of 216 and 1314.
18
What is the highest common factor of 13 and 91?
13
Calculate the greatest common divisor of 351 and 153.
9
Calculate the greatest common divisor of 1 and 173.
1
Calculate the greatest common factor of 126 and 2898.
126
What is the greatest common factor of 96 and 456?
24
Calculate the greatest common factor of 230 and 92.
46
Calculate the greatest common divisor of 204 and 374.
34
What is the greatest common divisor of 182 and 1729?
91
Calculate the greatest common divisor of 208 and 2600.
104
What is the highest common divisor of 35 and 560?
35
What is the greatest common divisor of 925 and 148?
37
Calculate the highest common divisor of 5566 and 22.
22
Calculate the greatest common divisor of 628 and 8.
4
What is the greatest common factor of 2813 and 291?
97
What is the highest common divisor of 725 and 25?
25
What is the highest common divisor of 30 and 14010?
30
Calculate the greatest common divisor of 66 and 30.
6
Calculate the highest common divisor of 56 and 2548.
28
Calculate the highest common divisor of 2478 and 84.
42
Calculate the greatest common divisor of 18 and 315.
9
What is the highest common factor of 620 and 80?
20
Calculate the highest common divisor of 116 and 4.
4
Calculate the greatest common factor of 163 and 2.
1
What is the highest common divisor of 276 and 24?
12
What is the greatest common factor of 80 and 540?
20
Calculate the greatest common factor of 252 and 36.
36
What is the highest common factor of 21551 and 23?
23
Calculate the greatest common divisor of 244 and 1830.
122
Calculate the greatest common divisor of 38 and 361.
19
What is the highest common divisor of 57 and 437?
19
What is the highest common divisor of 100 and 380?
20
What is the greatest common factor of 9132 and 60?
12
Calculate the greatest common divisor of 182 and 1261.
13
What is the highest common divisor of 962 and 52?
26
What is the highest common divisor of 73 and 146?
73
What is the highest common divisor of 22 and 66?
22
What is the greatest common divisor of 6 and 4?
2
What is the highest common divisor of 21 and 519?
3
Calculate the greatest common factor of 1953 and 189.
63
What is the greatest common divisor of 275 and 125?
25
Calculate the highest common divisor of 201 and 51.
3
What is the highest common factor of 306 and 153?
153
What is the greatest common factor of 62 and 2?
2
Calculate the greatest common divisor of 69 and 33.
3
Calculate the highest common factor of 378 and 56.
14
What is the highest common factor of 153 and 816?
51
What is the greatest common factor of 141 and 24?
3
What is the highest common factor of 5984 and 416?
32
What is the greatest common factor of 42 and 558?
6
Calculate the greatest common divisor of 30 and 36.
6
Calculate the highest common divisor of 32 and 2872.
8
Calculate the greatest common factor of 441 and 525.
21
What is the greatest common factor of 12636 and 9?
9
Calculate the highest common factor of 3397 and 86.
43
What is the greatest common divisor of 128 and 304?
16
Calculate the greatest common divisor of 12 and 2811.
3
Calculate the greatest common factor of 348 and 957.
87
Calculate the greatest common factor of 145 and 87.
29
Calculate the greatest common divisor of 5071 and 11.
11
Calculate the greatest common factor of 185 and 111.
37
What is the highest common factor of 342 and 144?
18
Calculate the greatest common factor of 7486 and 114.
38
What is the greatest common factor of 508 and 127?
127
Calculate the greatest common divisor of 130 and 158.
2
Calculate the highest common divisor of 8 and 188.
4
What is the highest common factor of 46 and 5658?
46
What is the greatest common factor of 836 and 572?
44
What is the greatest common factor of 55 and 16?
1
What is the greatest common factor of 2636 and 4?
4
What is the greatest common factor of 27 and 24?
3
What is the highest common divisor of 11 and 2981?
11
Calculate the highest common factor of 1122 and 4386.
102
Calculate the greatest common divisor of 32 and 6176.
32
Calculate the greatest common factor of 10 and 82.
2
Calculate the greatest common divisor of 962 and 52.
26
Calculate the highest common divisor of 46 and 354.
2
Calculate the greatest common divisor of 213 and 568.
71
Calculate the highest common divisor of 91 and 533.
13
What is the highest common factor of 11233 and 47?
47
What is the greatest common factor of 150 and 60?
30
What is the greatest common factor of 43 and 19?
1
What is the greatest common divisor of 84 and 189?
21
Calculate the highest common divisor of 30 and 27.
3
Calculate the greatest common divisor of 2556 and 162.
18
Calculate the greatest common factor of 10 and 30.
10
What is the greatest common divisor of 1888 and 118?
118
Calculate the highest common divisor of 1648 and 515.
103
What is the highest common divisor of 32 and 10?
2
Calculate the greatest common divisor of 474 and 6.
6
Calculate the highest common divisor of 1011 and 60.
3
Calculate the greatest common factor of 300 and 15780.
60
Calculate the greatest common divisor of 26 and 180.
2
What is the greatest common factor of 27 and 2133?
27
What is the highest common divisor of 1 and 11?
1
Calculate the highest common divisor of 30 and 5145.
15
Calculate the greatest common factor of 395 and 135.
5
What is the greatest common divisor of 117 and 27?
9
What is the greatest common factor of 4688 and 144?
16
Calculate the highest common factor of 9 and 26.
1
What is the greatest common factor of 1 and 22?
1
Calculate the greatest common factor of 26 and 546.
26
What is the highest common divisor of 198 and 1892?
22
What is the greatest common divisor of 28 and 28?
28
Calculate the highest common divisor of 18 and 334.
2
What is the greatest common divisor of 645 and 45?
15
Calculate the greatest common factor of 45 and 153.
9
What is the highest common divisor of 110 and 22?
22
What is the greatest common divisor of 29 and 116?
29
Calculate the highest common divisor of 176 and 35552.
176
What is the greatest common divisor of 384 and 6?
6
What is the greatest common divisor of 3284 and 20?
4
Calculate the highest common factor of 484 and 22.
22
What is the highest common divisor of 13 and 377?
13
Calculate the greatest common factor of 39917 and 223.
223
Calculate the highest common divisor of 13 and 65.
13
What is the highest common factor of 61 and 1586?
61
What is the greatest common divisor of 60 and 96?
12
What is the highest common divisor of 87 and 12209?
29
Calculate the greatest common divisor of 11358 and 18.
18
What is the greatest common factor of 99 and 18?
9
What is the greatest common factor of 407 and 74?
37
What is the greatest common divisor of 13 and 1313?
13
What is the greatest common divisor of 18 and 90?
18
Calculate the greatest common divisor of 70 and 1610.
70
What is the highest common divisor of 320 and 100?
20
Calculate the greatest common divisor of 34 and 289.
17
Calculate the highest common factor of 648 and 5130.
54
What is the highest common factor of 7 and 7364?
7
What is the highest common divisor of 89 and 11?
1
Calculate the highest c
|
{
"pile_set_name": "DM Mathematics"
}
|
culate the highest common divisor of 21 and 78258761.
7
What is the greatest common divisor of 108913001 and 1181?
1181
Calculate the highest common divisor of 685359 and 360972.
2439
What is the greatest common factor of 64054705 and 2222?
1111
What is the greatest common divisor of 4848 and 19855590?
606
Calculate the greatest common factor of 26 and 14812954.
26
What is the greatest common divisor of 306 and 233070816?
102
What is the greatest common factor of 1176 and 46061274?
294
What is the highest common divisor of 107520 and 46464?
384
Calculate the greatest common divisor of 3316 and 11998946.
1658
Calculate the greatest common factor of 243295466 and 17170.
3434
Calculate the greatest common divisor of 645579036 and 4824.
2412
Calculate the highest common factor of 32305768 and 1166.
22
Calculate the greatest common divisor of 1117423440 and 10.
10
What is the greatest common factor of 14920147 and 4356?
121
Calculate the highest common factor of 2058 and 83982178.
686
Calculate the highest common divisor of 12876 and 1033188.
444
Calculate the highest common divisor of 3365440 and 13000.
520
Calculate the greatest common factor of 365704938 and 10836.
774
Calculate the highest common factor of 53576 and 2972744.
1448
Calculate the highest common factor of 450828 and 95256.
252
Calculate the greatest common factor of 88 and 49815810.
22
What is the greatest common divisor of 1477 and 65100?
7
Calculate the highest common divisor of 7195895 and 1047140.
6385
What is the greatest common divisor of 10456 and 1967296?
8
What is the highest common factor of 3327681 and 651?
21
Calculate the greatest common factor of 27238616 and 8.
8
What is the greatest common divisor of 502 and 40602011?
251
Calculate the greatest common divisor of 401607 and 729.
9
Calculate the highest common factor of 81305 and 85547.
707
What is the highest common factor of 970 and 83379454?
194
What is the greatest common divisor of 196970823 and 714?
357
Calculate the highest common factor of 575131605 and 120.
15
Calculate the greatest common divisor of 59566 and 4199.
13
Calculate the greatest common divisor of 2510 and 321389185.
1255
Calculate the greatest common factor of 1696811742 and 36.
18
Calculate the greatest common divisor of 323 and 366263.
19
What is the greatest common divisor of 17850 and 10999?
17
Calculate the greatest common factor of 452867215 and 5.
5
Calculate the greatest common factor of 1367847 and 630.
9
Calculate the highest common factor of 743845 and 236375.
155
Calculate the greatest common factor of 58128 and 2164176.
336
What is the highest common divisor of 80 and 288102?
2
What is the highest common factor of 30941 and 689?
1
Calculate the highest common factor of 104 and 15213614.
26
Calculate the greatest common divisor of 1357680 and 20320.
80
Calculate the highest common factor of 39411 and 261.
261
What is the greatest common factor of 219989223 and 5137?
467
What is the greatest common factor of 27323316 and 24166?
562
Calculate the greatest common divisor of 14080 and 71365888.
2816
Calculate the greatest common factor of 14922 and 699912.
18
What is the highest common factor of 271862 and 14438726?
1502
Calculate the highest common factor of 66243 and 701409.
213
What is the highest common factor of 7291 and 2247625734?
7291
What is the highest common divisor of 592487 and 6996?
53
Calculate the greatest common divisor of 13554 and 18189.
9
Calculate the greatest common divisor of 37976 and 160871083.
4747
What is the highest common divisor of 172 and 1126252?
4
Calculate the greatest common factor of 2840 and 145414.
2
Calculate the highest common divisor of 16472 and 363312.
232
What is the greatest common divisor of 1084 and 286865966?
542
Calculate the greatest common factor of 4528442 and 8696.
2174
Calculate the highest common divisor of 2292 and 2173389.
573
Calculate the highest common divisor of 8523 and 10656.
9
Calculate the highest common factor of 5273825 and 3315.
85
What is the greatest common factor of 108 and 158932?
4
What is the highest common divisor of 178809 and 14809777?
3137
What is the highest common divisor of 57417356 and 32252?
2932
What is the greatest common factor of 1203828 and 44376?
516
Calculate the greatest common divisor of 352920 and 5610.
510
What is the highest common divisor of 141747 and 366?
3
Calculate the highest common divisor of 16073485 and 15.
5
Calculate the greatest common divisor of 75 and 19658130.
15
What is the greatest common divisor of 1405764328 and 2864?
1432
What is the highest common divisor of 26078580 and 21780?
1980
What is the greatest common factor of 189296 and 152?
8
What is the greatest common factor of 22422428 and 434?
14
What is the greatest common divisor of 4171 and 25990318?
43
Calculate the highest common divisor of 318 and 38935178.
106
What is the highest common divisor of 86549 and 953258?
1219
What is the highest common factor of 309558529 and 343?
343
Calculate the highest common divisor of 464542694 and 46970.
9394
Calculate the greatest common divisor of 44266964 and 3756.
1252
Calculate the highest common divisor of 10328669 and 754.
377
Calculate the highest common divisor of 34000299 and 555.
111
Calculate the greatest common factor of 230974262 and 36049.
2773
What is the greatest common divisor of 59904 and 7022080?
6656
What is the greatest common factor of 5100 and 1306824?
204
Calculate the greatest common factor of 1549062 and 5904.
738
What is the highest common divisor of 89378364 and 18324?
6108
Calculate the greatest common divisor of 1404 and 307386.
18
What is the highest common divisor of 3357529 and 3185?
49
Calculate the greatest common divisor of 160822 and 89006.
382
What is the greatest common factor of 218496 and 14208?
384
What is the greatest common factor of 77310 and 5760?
90
What is the greatest common factor of 31 and 26085322?
31
What is the greatest common factor of 671 and 46219151?
671
Calculate the highest common factor of 584 and 54476104.
584
Calculate the greatest common divisor of 66501 and 348104.
821
Calculate the greatest common divisor of 235 and 145641955.
235
Calculate the highest common factor of 1470 and 2815295.
245
Calculate the greatest common divisor of 8007769 and 77.
77
What is the greatest common factor of 34565 and 511345?
155
What is the greatest common divisor of 11938752 and 336?
336
What is the highest common divisor of 9 and 48538193?
1
Calculate the greatest common divisor of 640 and 64965.
5
Calculate the greatest common factor of 46 and 186896988.
46
What is the greatest common divisor of 3331 and 61933283?
3331
Calculate the highest common factor of 30 and 3322908.
6
What is the highest common divisor of 6014674 and 4541?
239
What is the greatest common divisor of 71445 and 774620?
55
Calculate the greatest common divisor of 5716161 and 5841.
99
Calculate the greatest common factor of 48147989 and 481.
37
Calculate the greatest common divisor of 832 and 2993600.
64
What is the highest common factor of 1311 and 18121079?
437
Calculate the greatest common factor of 292945 and 46535.
205
Calculate the highest common factor of 560 and 28860944.
112
What is the greatest common factor of 28553145 and 7725?
1545
What is the highest common divisor of 5445 and 65623140?
5445
Calculate the highest common divisor of 45935823 and 14865.
2973
What is the highest common factor of 6 and 17072280?
6
Calculate the highest common factor of 34775 and 2054507.
1391
What is the highest common factor of 1769885412 and 2148?
2148
Calculate the highest common divisor of 11834 and 42334.
122
Calculate the highest common factor of 2844 and 648864.
36
Calculate the highest common divisor of 109400 and 714382.
1094
Calculate the greatest common factor of 58560 and 7664000.
320
Calculate the highest common factor of 1734596 and 3172.
244
What is the greatest common factor of 9366809 and 333?
37
Calculate the greatest common divisor of 1750375 and 19.
19
Calculate the highest common factor of 313177 and 7738.
53
What is the highest common factor of 2006 and 39229336?
2006
Calculate the greatest common divisor of 81536 and 40082.
98
What is the highest common factor of 11754801 and 6?
3
What is the highe
|
{
"pile_set_name": "DM Mathematics"
}
|
197, 1979
What are the prime factors of 4087831?
11, 19, 19559
What are the prime factors of 3199068?
2, 3, 19, 1559
What are the prime factors of 1525242?
2, 3, 254207
What are the prime factors of 255942?
2, 3, 59, 241
What are the prime factors of 58089?
3, 17, 67
What are the prime factors of 341134?
2, 281, 607
List the prime factors of 1152640.
2, 5, 1801
What are the prime factors of 3715340?
2, 5, 185767
List the prime factors of 2995451.
17, 23, 47, 163
List the prime factors of 3280022.
2, 151, 10861
List the prime factors of 370912.
2, 67, 173
What are the prime factors of 6405876?
2, 3, 107, 1663
What are the prime factors of 2969346?
2, 3, 23, 21517
List the prime factors of 12175696.
2, 13, 58537
What are the prime factors of 169993?
19, 23, 389
List the prime factors of 174216.
2, 3, 7, 17, 61
List the prime factors of 37671.
3, 29, 433
What are the prime factors of 242416?
2, 109, 139
List the prime factors of 720676.
2, 11, 1489
What are the prime factors of 6767336?
2, 23, 36779
What are the prime factors of 353038?
2, 7, 151, 167
What are the prime factors of 203666?
2, 101833
List the prime factors of 101031.
3, 7, 17, 283
What are the prime factors of 17255350?
2, 5, 7, 7043
What are the prime factors of 12510565?
5, 2502113
What are the prime factors of 15719735?
5, 953, 3299
List the prime factors of 1401275.
5, 23, 2437
List the prime factors of 282862.
2, 233, 607
What are the prime factors of 4938011?
13, 61, 479
List the prime factors of 326177.
439, 743
What are the prime factors of 2684481?
3, 373, 2399
List the prime factors of 368313.
3, 11, 11161
List the prime factors of 447143.
23, 19441
What are the prime factors of 1571685?
3, 5, 104779
List the prime factors of 259821.
3, 9623
What are the prime factors of 709097?
709097
What are the prime factors of 10167544?
2, 1270943
What are the prime factors of 35939?
83, 433
List the prime factors of 3190157.
19, 8837
List the prime factors of 246879.
3, 27431
List the prime factors of 11918778.
2, 3, 97, 20479
List the prime factors of 3063063.
3, 181, 5641
List the prime factors of 997118.
2, 17, 29327
What are the prime factors of 735276?
2, 3, 71, 863
What are the prime factors of 1069718?
2, 13, 41143
List the prime factors of 740174.
2, 61, 6067
List the prime factors of 1314890.
2, 5, 131489
List the prime factors of 889905.
3, 5, 41, 1447
What are the prime factors of 6339576?
2, 3, 43, 6143
What are the prime factors of 1004004?
2, 3, 167
What are the prime factors of 3121476?
2, 3, 269, 967
List the prime factors of 25111630.
2, 5, 23, 47, 101
List the prime factors of 1810162.
2, 53, 17077
What are the prime factors of 788771?
29, 59, 461
List the prime factors of 12924284.
2, 17, 190063
What are the prime factors of 1754901?
3, 194989
What are the prime factors of 80501?
79, 1019
What are the prime factors of 6348719?
13, 37, 67, 197
List the prime factors of 42670.
2, 5, 17, 251
List the prime factors of 131701.
131701
List the prime factors of 506691.
3, 56299
List the prime factors of 1102450.
2, 5, 17, 1297
List the prime factors of 248624.
2, 41, 379
List the prime factors of 11209095.
3, 5, 223, 1117
List the prime factors of 468090.
2, 3, 5, 7, 743
List the prime factors of 1813246.
2, 19, 47717
What are the prime factors of 27449118?
2, 3, 17, 9967
List the prime factors of 806448.
2, 3, 53, 317
What are the prime factors of 15162493?
15162493
List the prime factors of 19850777.
19850777
List the prime factors of 674219.
7, 13, 31, 239
What are the prime factors of 2577199?
139, 18541
List the prime factors of 27849481.
11, 23, 10007
What are the prime factors of 13300497?
3, 7, 70373
What are the prime factors of 2883306?
2, 3, 53, 9067
List the prime factors of 311645.
5, 157, 397
List the prime factors of 2929750.
2, 5, 11719
List the prime factors of 194255.
5, 38851
What are the prime factors of 6474545?
5, 7, 11, 67, 251
What are the prime factors of 2047235?
5, 331, 1237
What are the prime factors of 7951410?
2, 3, 5, 17, 5197
List the prime factors of 493691.
11, 37, 1213
What are the prime factors of 1646890?
2, 5, 7, 3361
List the prime factors of 67881.
3, 11, 17
List the prime factors of 23883845.
5, 4776769
What are the prime factors of 1742923?
7, 13, 107, 179
What are the prime factors of 3819098?
2, 223, 8563
What are the prime factors of 61234?
2, 17, 1801
What are the prime factors of 1162305?
3, 5, 23, 1123
List the prime factors of 537595.
5, 79, 1361
List the prime factors of 316792.
2, 7, 5657
List the prime factors of 69420.
2, 3, 5, 13, 89
What are the prime factors of 335835?
3, 5, 17, 439
List the prime factors of 5733718.
2, 47, 181, 337
List the prime factors of 438435.
3, 5, 9743
What are the prime factors of 105127?
11, 19, 503
What are the prime factors of 119248?
2, 29, 257
List the prime factors of 18253965.
3, 5, 19, 3371
What are the prime factors of 598819?
13, 73, 631
What are the prime factors of 365290?
2, 5, 36529
What are the prime factors of 1521313?
17, 109, 821
What are the prime factors of 300200?
2, 5, 19, 79
List the prime factors of 2343564.
2, 3, 65099
List the prime factors of 5333509.
19, 280711
What are the prime factors of 62533?
62533
List the prime factors of 6472811.
563, 11497
What are the prime factors of 2481241?
7, 354463
What are the prime factors of 2250048?
2, 3, 11719
What are the prime factors of 16756486?
2, 37, 367, 617
List the prime factors of 3428585.
5, 685717
List the prime factors of 2358128.
2, 19, 7757
List the prime factors of 17961426.
2, 3, 7, 47, 337
List the prime factors of 3721998.
2, 3, 7, 23, 3853
What are the prime factors of 363168?
2, 3, 13, 97
List the prime factors of 14343887.
269, 53323
List the prime factors of 177218.
2, 88609
What are the prime factors of 15957630?
2, 3, 5, 13, 23, 593
What are the prime factors of 3825306?
2, 3, 17, 463
What are the prime factors of 10186636?
2, 2546659
List the prime factors of 4292179.
83, 51713
What are the prime factors of 8162152?
2, 1020269
List the prime factors of 3119240.
2, 5, 29, 2689
What are the prime factors of 3435865?
5, 19, 59, 613
What are the prime factors of 976344?
2, 3, 17, 2393
What are the prime factors of 1862363?
491, 3793
What are the prime factors of 370181?
7, 52883
List the prime factors of 1251735.
3, 5, 83449
What are the prime factors of 6817141?
541, 12601
List the prime factors of 338165.
5, 47, 1439
List the prime factors of 847298.
2, 423649
What are the prime factors of 2120391?
3, 7, 13, 863
List the prime factors of 186977.
7, 26711
What are the prime factors of 25863252?
2, 3, 2155271
What are the prime factors of 6159201?
3, 2053067
List the prime factors of 1684274.
2, 19, 127, 349
What are the prime factors of 1109039?
389, 2851
List the prime factors of 4641952.
2, 7, 17, 23, 53
List the prime factors of 4289687.
19, 31, 7283
List the prime factors of 1269868.
2, 167, 1901
List the prime factors of 1110019.
1110019
List the prime factors of 1071537.
3, 357179
List the prime factors of 3537145.
5, 707429
List the prime factors of 339692.
2, 163, 521
What are the prime factors of 76361?
19, 4019
What are the prime factors of 896739?
3, 271, 1103
List the prime factors of 1178680.
2, 5, 79, 373
List the prime factors of 722664.
2, 3, 10037
What are the prime factors of 221737?
221737
What are the prime factors of 277789?
277789
What are the prime factors of 11316765?
3, 5, 754451
What are the prime factors of 257342?
2, 223, 577
What are the prime factors of 30179176?
2, 3772397
List the prime factors of 2347719.
3, 11, 71143
What are the prime factors of 1136694?
2, 3, 13, 19, 59
List the prime factors of 182623.
7, 3727
List the prime factors of 2558219.
2558219
What are the prime factors of 128949?
3, 53, 811
List the prime factors of 48078.
2, 3, 2671
List the prime factors of 160585.
5, 32117
List the prime factors of 2288813.
89, 25717
List the prime factors of 1707141.
3, 569047
What are the prime factors of 343871?
11, 43, 727
List the prime factors of 885630.
2, 3, 5, 53, 557
What are the prime factors of 907380?
2, 3, 5, 71
What are the prime factors of 79987?
79987
What are the prime factors of 5596225?
5, 223849
List the prime factors of 954592.
2, 23, 1297
What
|
{
"pile_set_name": "DM Mathematics"
}
|
1)
Let a = 191/112 - 9/16. Let r(q) = -q**3 - 12*q**2 - 30*q + 35. Let g be r(-7). Find m, given that -2/7*m**3 - 6/7*m - a*m**2 + g = 0.
-3, -1, 0
Let b(y) be the first derivative of -2*y**3/3 + 5*y**2 - 81. Factor b(n).
-2*n*(n - 5)
Let z = -2 - -10. Suppose 6*v - 8*v = -z. Determine f, given that 2*f**3 - 10*f**4 - f**3 + 9*f**v = 0.
0, 1
Let t(y) = -6*y - 27. Let i be t(-5). Factor 15*j**2 - 2*j**4 - j**4 - 2*j**4 - 10*j**i.
-5*j**2*(j - 1)*(j + 3)
Find i such that 280*i - 223*i**2 + 118*i**2 - 180 + 3*i**3 + 2*i**3 = 0.
1, 2, 18
Let z = 59 + -53. Let u = z - 4. Let 22/5*r**u - 26/5*r**3 + 6*r**5 - 22/5*r**4 - 4/5*r + 0 = 0. Calculate r.
-1, 0, 1/3, 2/5, 1
Let j(h) be the third derivative of -h**6/360 + 2*h**4/9 - 255*h**2. Factor j(p).
-p*(p - 4)*(p + 4)/3
Let v(w) be the second derivative of w**6/165 + w**5/55 + w**4/66 - 572*w. Factor v(j).
2*j**2*(j + 1)**2/11
Let p = 22679 - 22677. Factor -s**p + s + 0 + 1/4*s**3.
s*(s - 2)**2/4
Let y(f) be the second derivative of f**4/12 - 13*f**3/2 - 20*f**2 - 2*f + 2. Determine m so that y(m) = 0.
-1, 40
Suppose j - 3*j - 4*d + 256 = 0, -143 = -j + d. Let 2*a - 2*a**4 - 2*a - 136*a**5 + j*a**5 = 0. Calculate a.
0, 1
Let m(z) be the first derivative of -8 - 9*z**4 - 1/3*z**6 + 6*z + 14/5*z**5 - 13*z**2 + 44/3*z**3. Solve m(c) = 0.
1, 3
Let f be (-6)/15*100/(-18)*(-231)/(-154). Find d such that -2/3*d**2 + f*d - 8/3 = 0.
1, 4
Let c(w) be the first derivative of -w**4/6 + 34*w**3/9 - 40*w**2/3 - 200*w - 182. Factor c(d).
-2*(d - 10)**2*(d + 3)/3
Suppose 14 = -2*d + 4*t, -4*t = -24*d + 20*d - 8. Find p such that -1/4*p**d + p**2 - p + 0 = 0.
0, 2
Let n(c) be the third derivative of 0*c - 44*c**2 - 7/2*c**5 - 4*c**3 + 13/2*c**4 - 49/40*c**6 + 0. Factor n(g).
-3*(g + 2)*(7*g - 2)**2
Find m, given that -18*m**2 + 32*m - 19 + m**3 - 6 + 43*m - 17 - 16*m = 0.
1, 3, 14
Let l be (40/(-180) + 32/63)/(15/105). Determine x so that -4/15 - 14/15*x - 2/5*x**l = 0.
-2, -1/3
Let w(s) be the second derivative of -s**4/84 - 2*s**3/21 - 2*s**2/7 - s + 15. Solve w(r) = 0.
-2
Let s(g) = -24*g**5 - 14*g**4 + 84*g**3 + 60*g**2. Let b(n) = -5*n**5 - 3*n**4 + 17*n**3 + 12*n**2. Let v(w) = -14*b(w) + 3*s(w). Suppose v(x) = 0. Calculate x.
-2, -1, 0, 3
Let x(t) be the second derivative of -t**6/120 + t**5/80 + t**4/16 - t**3/24 - t**2/4 - 4*t - 97. Let x(w) = 0. What is w?
-1, 1, 2
What is v in -25/2*v**2 - 25/2*v + 15 - 5/2*v**4 + 25/2*v**3 = 0?
-1, 1, 2, 3
Let y(w) be the third derivative of -w**8/13440 - 13*w**4/24 + 42*w**2. Let u(l) be the second derivative of y(l). Suppose u(o) = 0. What is o?
0
Let r(k) be the second derivative of k**8/560 - k**6/120 + 4*k**3/3 + 10*k. Let a(v) be the second derivative of r(v). Solve a(p) = 0 for p.
-1, 0, 1
Let x(n) = 7202*n**4 + 1368*n**3 - 528*n**2 + 32*n + 9. Let o(r) = 1801*r**4 + 342*r**3 - 132*r**2 + 8*r + 2. Let t(d) = 9*o(d) - 2*x(d). Solve t(s) = 0 for s.
-2/5, 0, 2/19
Let y(l) be the second derivative of -l**7/42 + 11*l**6/10 - 363*l**5/20 + 1331*l**4/12 - l + 2. Factor y(m).
-m**2*(m - 11)**3
Let p = 23 - 19. Let -3*m**5 + 0*m + 0*m - 180*m**3 + 144*m**3 + 24*m**2 + 18*m**p = 0. What is m?
0, 2
Let a(h) be the second derivative of 0 - 1/6*h**3 - 1/12*h**4 + 0*h**2 + h. Determine u, given that a(u) = 0.
-1, 0
Let y = 39 + -49. Let u(g) = -g**3 - 8*g**2 + 19*g - 7. Let j be u(y). Factor -2/7*a**5 + 0 + 0*a**j + 2/7*a - 4/7*a**2 + 4/7*a**4.
-2*a*(a - 1)**3*(a + 1)/7
Let i(a) be the second derivative of a**6/45 + a**5/6 + a**4/2 + 7*a**3/9 + 2*a**2/3 + a + 56. What is c in i(c) = 0?
-2, -1
Let d = -12 + 8. Let g = 7 + d. Factor -z - 2*z**3 - 1 + z**2 + 0*z**3 + 3*z**g.
(z - 1)*(z + 1)**2
Let x(r) be the third derivative of -r**7/210 + 97*r**6/120 - 831*r**5/20 + 6815*r**4/24 - 2209*r**3/3 + 237*r**2. Suppose x(s) = 0. What is s?
1, 2, 47
Let b be ((-8)/2 + 7)*9. Factor -118*i - i**4 - 6 + 97*i - b*i**2 - 15*i**3 - 2*i**4.
-3*(i + 1)**3*(i + 2)
Let o(x) be the third derivative of 2*x**6/15 - 11*x**5/30 - x**4/6 - 26*x**3/3 + 27*x**2. Let h(y) be the first derivative of o(y). Factor h(q).
4*(q - 1)*(12*q + 1)
Let z = 1073957/80547 + 1/26849. Factor z*x**2 - 4/3*x**5 + 20/3*x**4 + 4/3 - 40/3*x**3 - 20/3*x.
-4*(x - 1)**5/3
Let c(w) = w**2 - 3*w - 9. Let t be c(7). Let l = t + -16. Factor -45*r**4 + 10*r**2 - 13*r**2 + 24*r**3 - l*r**4.
-3*r**2*(4*r - 1)**2
Find p such that 24/7*p**4 - 3/7*p**5 - 78/7*p**2 - 39/7*p**3 + 192/7*p - 96/7 = 0.
-2, 1, 4
Let q(p) be the third derivative of -p**2 + 0*p + 1/108*p**5 + 0*p**3 + 0 + 1/54*p**4. Suppose q(i) = 0. What is i?
-4/5, 0
Let l(x) be the first derivative of 0*x**2 - 1/42*x**6 - 1/7*x**4 - 27 - 4/35*x**5 + 0*x**3 + 0*x. Factor l(v).
-v**3*(v + 2)**2/7
Let q(w) = -w**3 - w + 1. Let z(i) = i**4 + 15*i**3 + 33*i**2 + 9*i - 54. Let c(b) = -20*q(b) - 5*z(b). Factor c(u).
-5*(u - 1)*(u + 2)*(u + 5)**2
Let k(d) be the third derivative of -d**8/784 + 4*d**7/245 - d**6/40 - 25*d**2 - 6. What is j in k(j) = 0?
0, 1, 7
Let y = 301 + -178. Factor -v**4 - 5*v**3 - y - 7*v**2 - 124 - 3*v + 247.
-v*(v + 1)**2*(v + 3)
Factor 0 + 12/5*v - 14/5*v**2 + 4/5*v**3.
2*v*(v - 2)*(2*v - 3)/5
Let 25/2*i**4 + 0*i + 0 - 1/2*i**5 - 143/2*i**3 - 169/2*i**2 = 0. What is i?
-1, 0, 13
Factor -20/7*k**2 + 30/7 - 38/7*k.
-2*(2*k + 5)*(5*k - 3)/7
Let q(p) be the third derivative of 10*p**2 + 0 - 7/6*p**4 + 0*p - 1/70*p**7 - 17/120*p**6 - 4/3*p**3 - 17/30*p**5. Solve q(y) = 0 for y.
-2, -1, -2/3
Let q(w) = -2*w**3 + 4*w**2 + w + 3. Let h be q(2). Suppose 10*c - 15 = h. Factor 8/13 - 2/13*s**c - 6/13*s.
-2*(s - 1)*(s + 4)/13
Factor 6 + 63/2*b**2 + 5/2*b**4 - 33/2*b**3 - 47/2*b.
(b - 4)*(b - 1)**2*(5*b - 3)/2
Let d(m) = 17*m**2 - 4553*m + 519833. Let b(q) = -8*q**2 + 2277*q - 259917. Let i(t) = 7*b(t) + 3*d(t). Factor i(g).
-5*(g - 228)**2
Let u(q) = 5*q**4 - 20*q**3 - 50*q**2 + 70*q. Let l(x) = 2*x**3 - x**2. Let f(s) = 5*l(s) - u(s). What is g in f(g) = 0?
-2, 0, 1, 7
Let n(b) = 3133*b**2 - 1151*b - 47. Let l(t) = 1044*t**2 - 383*t - 16. Let g(o) = 17*l(o) - 6*n(o). Factor g(a).
-5*(5*a - 2)*(42*a + 1)
Let n = -33 - -29. Let f be n - (9/(-5) - 3). Let -f*y - 14/5*y**4 + 6/5*y**5 + 6/5*y**2 + 0 + 6/5*y**3 = 0. Calculate y.
-2/3, 0, 1
Let 84*d**3 + 2*d**4 - 1255*d**2 + 1495*d**2 + 22 + 56 + 236*d = 0. Calculate d.
-39, -1
Let z be 17/(612/24) - 0. Suppose -8/9 - z*j**3 + 8/9*j + 10/9*j**2 = 0. What is j?
-1, 2/3, 2
Let i(o) = -25*o**2 - 135*o - 145. Let b(m) = -2*m**2 - 11*m - 12. Let j(c) = -35*b(c) + 3*i(c). Factor j(t).
-5*(t + 1)*(t + 3)
Suppose 4/9*g**2 - 8/9*g + 2/9*g**4 - 2/3 + 8/9*g**3 = 0. Calculate g.
-3, -1, 1
Suppose 4 = 3*q - g, 3*g + g = 5*q - 9. Let x = q - -6. Determine h so that -h**4 - 7*h**4 - x*h**4 - 21*h**2 + h + 5*h + 27*h**3 + 3*h**5 = 0.
0, 1, 2
Let j = 87 - 83. Let c(f) be the third derivative of 1/120*f**5 + 0 + 0*f**3 + 4*f**2 - 1/96*f**j - 1/480*f**6 + 0*f. Find d, given that c(d) = 0.
0, 1
Suppose n - 2*y = 124 - 20, -4*n + 466 = 2*y. Let v = n + -1252/11. Find h such that -2/11*h**2 - 4/11*h - v = 0.
-1
Let k(d) be the second derivative of -d**8/2240 - d**7/840 + d**6/240 + d**5/40 - d**4/4 - d. Let o(u) be the third derivative of k(u). Factor o(f).
-3*(f - 1)*(f + 1)**2
Let p(q) be the second derivative of q**4/12 + 7*q**3/3 + 51*q**2/2 - 24*q. Let k(u) = -2*u**2 - 28*u - 103. Let w(v) = -2*k(v) - 5*p(v). Factor w(f).
-(f + 7)**2
Let b(f) be the first derivative of f**5/25 - f**4/20 - f**3/5 + f**2/10 + 2*f/5 - 151. Factor b(k).
(k - 2)*(k - 1)*(k + 1)**2/5
Let g(r) be the third derivative of -r**6/160 + 3*r**5/40 - 30*r**2. Factor g(i).
-3*i**2*(i - 6)/4
Factor -9/2*k**4 - 16*k - 97/4*k**3 - 1/4*k**5 - 36*k**2 + 0.
-k*(k + 1)**2*(k + 8)**2/4
Let z(t) be the second derivative of -t**6/120 - 3*t**5/20 - 9*t**4/8 - 8*t**3/3 + 17*t. Let k(w) be the second derivative of z(w). Find h such that k(h) = 0.
-3
Let r(u) be the third derivative of 1 - 4/15*u**5 + 0*u**3 + 1/6*u**4 + 0*u - 3*u**2. Factor r(z).
-4*z*(4*z - 1)
Let v(j) be the third derivative of j**6/300 + j**5/150 - 2*j**4/15 - 4*j**3/5 + 2*j**2 - 10. Factor v(q).
2*(q - 3)*(q + 2)**2/5
Let x(a) = -a**4 + a**3 - a - 1. Let j(v) = 2 + 3*v + 0*v - 9*v**3 + 19*v**2 - 21*v**2 - 2*v**4. Let b(y) = j(y) + 2*x(y). Factor b(d).
-d*(d + 1)**2*(4*d - 1)
Let i(p) be the first derivative of 2*p
|
{
"pile_set_name": "DM Mathematics"
}
|
0*m = 23*m - g. Suppose -m = -6*d + 2*d. Is d a multiple of 13?
False
Let f = -80 - -76. Is -4*(-1 - (-195)/f) a multiple of 9?
False
Suppose 39*d - 850833 = 639878 + 498484. Is d a multiple of 102?
False
Suppose 3*f - 704 = -3*l + 20797, 35829 = 5*f - l. Is f a multiple of 5?
False
Let i be ((-18)/2)/((-6)/4). Let v be 1/(6/16)*i. Suppose 6*p - p = 2*j + 56, 4*j + v = 2*p. Does 8 divide p?
False
Let c(b) = 3*b**3 + 113*b**2 + 115*b - 28. Let o(r) = -r**3 - 38*r**2 - 39*r + 9. Let y(d) = 2*c(d) + 7*o(d). Is 12 a factor of y(-39)?
False
Suppose 109026 = -255*a + 524676. Is a a multiple of 326?
True
Let z be (-9)/(-4)*576/216. Suppose 0 = -7*c - z*c + 4797. Is c a multiple of 32?
False
Let o = -14536 + 18356. Does 15 divide o?
False
Let g(x) = -4*x - 28. Let i be g(-8). Suppose -277 = i*q - 325. Does 2 divide q?
True
Does 4 divide (-2 - -403) + -6 - (-1 - 2)?
False
Let o(u) = 14*u + 27. Let f be o(-2). Does 12 divide (1/f)/((-5)/3180)?
True
Does 55 divide 45*11/33 + 7080?
True
Suppose n - 835 = 4*k + 9356, 2*k = -5*n + 51065. Is 11 a factor of n?
False
Suppose x - 497 = 3*t, -3*t + 2*x = 126 + 373. Is (-4)/(t/(-602) + 10/(-35)) a multiple of 86?
True
Let y = -26187 - -40209. Does 82 divide y?
True
Is -983*(-9)/((-54)/(-12)) a multiple of 21?
False
Suppose 323*z = 365*z - 107478. Is 5 a factor of z?
False
Let j(m) = -m**3 + 6*m**2 + 9*m - 10. Let l be j(7). Let f be l/(-6) + 2*12/9. Suppose x = 5*g - 4 + 2, -58 = -4*x - f*g. Is 13 a factor of x?
True
Suppose -5*v + 5*m = -30140, 353*m + 12060 = 2*v + 352*m. Does 8 divide v?
True
Let i(f) be the second derivative of 3*f**3 + 4*f**2 + 2*f - 29. Suppose 0 = -4*h + 6 + 6. Is 7 a factor of i(h)?
False
Suppose 22 = 17*g - 29. Let p be 82*3*(35/(-10) + g). Let h = p + 285. Does 18 divide h?
True
Let d = -586 - -3128. Is d a multiple of 14?
False
Suppose 2*f = 3*h + 9351, 0 = 66*f - 69*f - 5*h + 13998. Does 22 divide f?
False
Suppose 3*m + 4*p = -m + 5100, p = -2*m + 2549. Does 49 divide m?
True
Suppose 2*q - 628 = -4*i - 2*q, -4*i + 5*q + 601 = 0. Suppose 0*n - 189 = 3*n. Let g = n + i. Is g a multiple of 23?
False
Let b = -92 + 103. Let h be -6*(93/(-33) - 2/b). Suppose 5*l = h + 87. Is l a multiple of 3?
True
Suppose 5*r = 4*q + 18, -3*r - 40*q = -44*q - 14. Suppose 4*m + 91*d - 587 = 92*d, r*d = 4*m - 582. Is 4 a factor of m?
True
Let l be 4*(178/8 - -2). Suppose -7*d = -43 - l. Is 10 a factor of d?
True
Suppose 0 = -36*g + 164024 - 6020. Does 57 divide g?
True
Suppose -8*v + 4798 = -26224 - 8602. Does 25 divide v?
False
Let i(u) be the first derivative of -u**3/3 - 7*u**2 + 5*u - 3. Let r be (-1 + 2)/((-2)/20). Is i(r) a multiple of 15?
True
Let r be (840/(-32))/(3/(-472)). Suppose 0*i - r = 14*i. Let d = 438 + i. Is d a multiple of 11?
True
Let p be (534 + 12/4)*(-1)/(-3). Suppose -2*x + 73 + p = 0. Is x a multiple of 21?
True
Let o(b) be the third derivative of -5*b**4/12 - 34*b**2. Let d be o(0). Suppose d = 14*q + 4*q - 5112. Does 30 divide q?
False
Let u(a) be the third derivative of a**6/120 - 23*a**5/60 + 11*a**4/8 - 14*a**3/3 + 64*a**2 - 2*a. Is u(22) a multiple of 6?
False
Let f be -10*(1 + 78/(-10)). Let l = 1417 - 1447. Let r = l + f. Is 38 a factor of r?
True
Let i(w) = -w**3 - 40*w**2 + 28*w - 38. Let c = -361 + 320. Does 33 divide i(c)?
True
Let z = 850 + -848. Suppose 529 = d - s, 5*d - 776 = z*s + 1884. Is d a multiple of 34?
False
Suppose -12*s + 7*s = -20, 3*a - 8989 = 5*s. Is a a multiple of 11?
True
Let w(z) be the third derivative of -73*z**4/12 - 33*z**3 - 147*z**2. Is w(-8) a multiple of 9?
False
Let q be 21 - 23 - 57/1. Let a be (-18)/(-15)*(-25)/(-10) - q. Let t = 20 + a. Does 41 divide t?
True
Suppose -2*z = -5*g - 21, 0 = 5*g - 32*z + 28*z + 27. Let b(i) = 90*i**2 + 13*i + 35. Is 26 a factor of b(g)?
True
Suppose -220*i - 1820200 + 3327413 + 3318267 = 0. Does 11 divide i?
True
Let h(l) = -15*l**3 + 12*l**2 + 11*l - 6. Is h(-6) a multiple of 123?
False
Let r = -7 - -9. Suppose -5*q = -r*x - 0 - 14, 0 = -4*q - x + 19. Suppose -20 = 5*a, 2*a - a = q*j - 152. Does 37 divide j?
True
Suppose -52*n - 54345 + 79213 = -134304. Is 15 a factor of n?
False
Suppose 1100 = -10*z + 21*z. Let j = z + 145. Does 49 divide j?
True
Let g(o) = o**2 + 7*o - 10. Let t(x) be the first derivative of -3*x**2 + 9*x + 6. Let w be t(3). Does 3 divide g(w)?
False
Let f be -1 + 2 - ((-3)/(-3) - 2). Suppose -f*h + t = -420, -t = -4*h + 3*h + 208. Is h a multiple of 27?
False
Let f be -5 + -5*1*(10 - 12). Suppose -2*o = -f*r + 220 + 66, r - 4*o = 68. Does 50 divide r?
False
Let q(g) = 15*g**2 - 4*g**3 - g - 8*g**3 - 31 + 13*g**3. Is q(-9) a multiple of 16?
True
Let z(h) = 522*h**2 + 39*h - 8. Is z(-4) a multiple of 16?
False
Is 15 a factor of (-4)/6 + 4 + 389455/33?
True
Suppose -6*s - 6489 = 15*s. Let u = -200 - s. Is 33 a factor of u?
False
Suppose -43*m - 29998 = -823219. Does 13 divide m?
True
Suppose 0 = -13*s + 693 - 2266. Let p = s - -150. Does 2 divide p?
False
Suppose 2159 = 25*d - 16*d - 4*n, 4*d + 3*n - 993 = 0. Is d a multiple of 9?
True
Is 85 a factor of (5/(-10))/((24/372608)/(-3))?
False
Let x(h) = -5*h**3 - 3*h**2 - 2*h - 8. Let r be x(-3). Let v = r - 104. Is 8 a factor of 6/15 + (-1236)/(-10) - v?
False
Is 53 a factor of (-64)/(-96) - ((-26894)/6 + 4)?
False
Let h = 46612 + -30794. Is 129 a factor of h?
False
Let f = -39 + 39. Suppose 3*d - 205 - 599 = f. Let i = -70 + d. Does 9 divide i?
True
Suppose -151*f + 7568 = -129*f. Is f even?
True
Let p(r) = r**3 - 5*r**2 - 12*r - 4. Let q be p(7). Suppose 3*z = 2*w - 367, -5*w + 955 = -5*z + q*z. Does 29 divide w?
False
Is 3 a factor of ((-4869)/5)/3*505/(-303)?
False
Suppose 10*c - 33994 = 53584 - 23828. Is c a multiple of 15?
True
Let u = -9 + 14. Let j = -6 + u. Does 24 divide (3 - 3) + j + 72?
False
Let n = -1890 - -2706. Does 16 divide n?
True
Let c = -3344 - -3797. Is 3 a factor of c?
True
Let y(w) = -w**2 - 11*w - 27. Let b be y(-6). Suppose -3*o + 2*o - 15 = -b*f, -2*f + 10 = -5*o. Suppose o = 4*i - 612 + 36. Is 36 a factor of i?
True
Let b = -1863 + 6087. Is b a multiple of 24?
True
Suppose 5*k - 4*f = 801, 5*k + 6*f - 3*f = 773. Suppose 25*m = 30*m + 70. Let s = k - m. Is 18 a factor of s?
False
Does 53 divide (-3)/((-15)/(-10)) - -3 - (-131016)/8?
False
Suppose 3*v - 81*d - 7544 = -85*d, 4*v + 5*d - 10059 = 0. Is 37 a factor of v?
True
Let b be ((-4)/8*6)/((-9)/204). Let s = 66 - b. Is 5 + -6 + s + 2 + 63 a multiple of 7?
False
Let n be (-8)/(-12)*(-27)/(-2). Suppose 12*d - 264 = n*d. Is 4 a factor of d/3*(-6)/(-4)?
True
Let a(o) = 52*o - 19. Let y = 12 + -12. Suppose -l - 2*w + 10 = y, -3*w + 10 = -0*l - l. Is a(l) a multiple of 32?
False
Let d be (-7934)/(-26) + (-3 - (-37)/13). Suppose x - s = d + 52, -2*x = -4*s - 714. Is x a multiple of 17?
True
Let u(k) = -506*k - 666. Does 7 divide u(-5)?
False
Let f = 4029 + -1149. Suppose 0 = -27*n - 5*n + f. Is 9 a factor of n?
True
Let x(c) = -27*c**2 - c - 10. Let g be x(-3). Let f = g - -355. Is f a multiple of 21?
True
Let w = -42 - -59. Suppose -3*k = -3*a - 3, -2*a + 3*k = -2*k + w. Suppose a*i = 3*n - 77, 3*n - 3*i - 2*i - 82 = 0. Is 2 a factor of n?
False
Suppose 18*b - 5*o = 15*b + 30223, 0 = 2*b - 2*o - 20158. Is b a multiple of 41?
True
Suppose -39*q + 55910 + 353239 = 0. Does 13 divide q?
True
Let x(a) = 22*a**3 - 4*a**2 + 2*a - 7. Let l be x(4). Suppose -7*b + 2*b + l = 0. Let w = b + -101. Does 42 divide w?
True
Suppose -9*x + 2*x + 56 = 0. Let f(c) = 4*c**2 + 11*c - 28. Is f(x) a multiple of 36?
False
Let g(h) = h**2 + 10*h + 21. Let b be g(-8). Suppose b*d - 1134 = -119. Suppose 0 = -5*r + 232 + d. Is 12 a factor of r?
False
Let u = -18 - -24. Suppose -u*c + 395 + 883 = 0. Is c a multiple of 24?
False
Let u = 1449 - 254. Suppose -25*z = -25420 + u. Is z a multiple of 51?
True
Suppose -62780 - 126413 = -31*n. Is 11 a factor of (n/68)/(1 + (-6)/8)?
False
Let d be -310*4/8*-1. Let f be (248/(-12) - -3)/((-4)/(-12)). Let t = f + d. Is t a multiple of 21?
False
Let i(a) = 6*a**2 + 40*a + 21. Let g be i(-24). Let y = -1375 + g. Does 34 divide y?
False
Let z = 386 - 394. Is -3 - (184/(-6))/(z/(-180)) a multiple of 13?
False
Suppose 15 = 2*y - a, -5*y + 4*a = -3*y - 30. Suppose 5*j - y = 0, -8*i + 4*i - 2*j + 202 = 0. Is 44 a factor of i?
False
Suppose 36*l - 31*l = 3*a + 1789
|
{
"pile_set_name": "DM Mathematics"
}
|
-8?
-8
What is the closest to 2 in 0.1, -5, 0.3, -0.3, 272.6?
0.3
What is the nearest to 2 in 0.5, 1, -23, -2/11?
1
What is the closest to 16 in -0.4, 19.97, -2?
19.97
Which is the closest to 2/3? (a) 15 (b) 2/3 (c) 76209
b
What is the nearest to -5.2 in 2/5, -0.2, 1, 2/91?
-0.2
What is the closest to 0 in -1/10, -1, -2, -14, 0.5?
-1/10
Which is the nearest to 1? (a) -0.1 (b) -10/7 (c) -2 (d) -0.03 (e) -0.0806
d
What is the nearest to -0.12 in -2, 0, 2/23, 24, 0.03?
0
What is the closest to -2/5 in -0.5, -1.6, 1/2, -23, 0.7?
-0.5
Which is the closest to 0.1? (a) 9 (b) 4 (c) -105
b
Which is the nearest to 12.86? (a) 1/5 (b) 1/4 (c) 4 (d) 0.8
c
Which is the closest to 1/19? (a) -1 (b) 3/2 (c) -13/5
a
What is the closest to -945 in -48, 4, 1?
-48
Which is the nearest to -83/18? (a) 4 (b) 0.3 (c) 1 (d) -1
d
Which is the nearest to 1.8? (a) -0.3 (b) -261 (c) -0.1 (d) 0.5
d
Which is the closest to 0.4? (a) 3/467 (b) -5 (c) -0.3
a
What is the nearest to 0.008 in 0, 20, 1/7, -0.5?
0
What is the nearest to 0 in 4, 0, -8996, 0.4?
0
What is the closest to 419/28 in -7, 0, 0.2, 0.3, -0.2?
0.3
Which is the nearest to -87? (a) 2/3 (b) 0.9 (c) -0.3
c
Which is the closest to -1? (a) -0.5 (b) -4.4 (c) -7 (d) 0
a
Which is the nearest to -1/3? (a) 19 (b) -1/5 (c) -4
b
What is the nearest to -13856 in -3/5, 1, 4?
-3/5
Which is the nearest to -11? (a) 8 (b) -14 (c) -3
b
What is the nearest to 0 in 2/23, 19/132, 2/15?
2/23
Which is the closest to -1? (a) -2.315 (b) 0.1 (c) -4 (d) 0.2
b
Which is the closest to 108? (a) 0.02 (b) 2/3 (c) 0.4 (d) 0.01 (e) 5/2
e
What is the nearest to -0.1 in -5/3, -9, 1/4, 256?
1/4
Which is the nearest to 3? (a) 3/8 (b) -1.4 (c) 1.9 (d) -2/15
c
What is the closest to 14 in -0.008, -6/5, -0.4, 1/4, 4?
4
What is the closest to -820 in 19, 3, -5, 2?
-5
Which is the nearest to 0.1? (a) -3/2 (b) -1/5 (c) 4 (d) 6 (e) -3029
b
What is the nearest to 46 in 81/32, -0.3, -0.4?
81/32
What is the closest to -1.011 in -5, 1/3, -34, -3?
1/3
What is the closest to -1/2 in -4, 1806540, 2?
2
What is the closest to -1/120 in -2/5, 5, 0, -1?
0
What is the closest to -0.3 in 4.5, 143, -0.2, -3, -2/9?
-2/9
What is the closest to -46 in 0.8, 2, -2, 0.5, -5?
-5
Which is the closest to -6? (a) 44 (b) 0.2 (c) 7 (d) -1/9
d
Which is the nearest to -76? (a) -2/3 (b) 7/17 (c) 6 (d) 3/4
a
What is the closest to 1/4 in 0, 348, 0.3?
0.3
What is the closest to 0 in 0.4, 9/8, -1, -1/3, 2/95?
2/95
What is the closest to 74 in -62, 2, 1/6?
2
Which is the nearest to 0? (a) 0.44 (b) -0.5 (c) -7.5
a
What is the nearest to 2/9 in -3/5, -23, 0.1?
0.1
What is the closest to -0.3 in -2, -37, -4, -0.01, 2/5?
-0.01
Which is the closest to 0? (a) 5 (b) 12 (c) 20795
a
Which is the nearest to -0.3? (a) -6/7 (b) 0.2 (c) 0 (d) -15
c
What is the nearest to -32 in 4/5, -0.098, 0.1, -2/3, -4?
-4
Which is the nearest to 0.7? (a) 90 (b) 0.3 (c) 4 (d) -2/9
b
Which is the nearest to -0.1? (a) 23 (b) 0.5 (c) 4 (d) -0.3 (e) -5/6
d
Which is the closest to -2/3? (a) 0.1 (b) -225 (c) 25 (d) 5
a
What is the closest to -2 in -5, -67, 16?
-5
What is the closest to 0 in 0, -2/15, -3, -4, -4/3?
0
Which is the nearest to -25? (a) -2/3 (b) 4 (c) -2 (d) 0.02
c
Which is the nearest to -7/4? (a) -0.19 (b) -0.5 (c) 117 (d) 2
b
Which is the closest to -6/5? (a) 413 (b) -0.4 (c) 13
b
Which is the nearest to -2/11? (a) -1 (b) 3 (c) -4/9 (d) 6
c
Which is the closest to 5? (a) 0.1 (b) 2/11 (c) -2.04
b
Which is the nearest to 11? (a) -4 (b) -0.5 (c) -1
b
What is the nearest to -2/5 in -2, 0.03, -0.3, 0.1?
-0.3
Which is the nearest to 1/3? (a) -4/5 (b) -10 (c) -2 (d) 3 (e) -135
a
What is the closest to 70 in 1, -3, 2/9?
1
Which is the closest to 1? (a) -3/5 (b) 18/11 (c) -8
b
What is the closest to 9 in 0.5, 12, 146?
12
Which is the nearest to -15.58? (a) -37 (b) 3 (c) 0.2
c
What is the closest to 188 in 0.4, -8, -5?
0.4
What is the nearest to 0.1 in 2/237, 4/7, -2/3, -0.095?
2/237
What is the nearest to 2/21 in -4/5, 2, -8046?
-4/5
What is the nearest to 3 in 0.4, 734, -0.3, -4?
0.4
What is the nearest to 2/7 in 85, 5, 6?
5
What is the nearest to -0.2 in 4/37, 2, 0.5, -1, -13?
4/37
Which is the nearest to -3/110? (a) -12 (b) 3 (c) -2/3 (d) 2
c
Which is the closest to 0.1? (a) 2/3 (b) -0.12 (c) 0.1 (d) 2/35
c
What is the nearest to -5 in 0.5, -25/7, -2/17?
-25/7
What is the nearest to 1 in -2, 6/7, -1020?
6/7
What is the closest to 0.1 in -3, 0.1, -127, -1/2, 0?
0.1
Which is the nearest to 2? (a) 4/7 (b) 6 (c) -5
a
What is the closest to -27 in -2/5, 0.1, -24?
-24
What is the nearest to 0 in -0.04, 4/9, -2, -3/17?
-0.04
What is the closest to -197 in 0.4, 3/2, 0.3, -3?
-3
Which is the nearest to -6? (a) 2 (b) -1.07 (c) 5/2 (d) 0.4
b
What is the nearest to 0.2 in -0.2, 0.5, 79, 6/7?
0.5
Which is the nearest to -1? (a) 1/5 (b) 3 (c) 195 (d) -2
d
What is the closest to 55 in 4, 8, -6/11, 1/5?
8
Which is the nearest to 3? (a) -4 (b) -2/301 (c) 9 (d) -5
b
Which is the closest to -6.3? (a) 1/4 (b) 1 (c) -4/7 (d) 26
c
Which is the closest to -1? (a) 11 (b) -1 (c) 2/13 (d) -1/7 (e) -5/171
b
Which is the closest to 14? (a) -0.34 (b) -2 (c) 0.2
c
Which is the nearest to -1? (a) -4/3 (b) -1876 (c) 2/11
a
Which is the closest to -0.6? (a) -5/3 (b) -2/37 (c) -2/3
c
What is the closest to 4 in -10, -1/5, 1, 5?
5
Which is the closest to 2/3? (a) 2/3 (b) -25 (c) 2 (d) -0.223
a
Which is the nearest to 0.2? (a) -0.6 (b) 1648 (c) -18
a
What is the nearest to 1/4 in 6, -5, 5, -96?
5
What is the nearest to 2/7 in 24/7, 0.09, 4, -27?
0.09
Which is the closest to 0.1? (a) -4 (b) 0.07 (c) 0.2 (d) -0.202
b
Which is the closest to 2? (a) 59 (b) -15 (c) -24
b
Which is the nearest to -45? (a) 4/15 (b) 0.02 (c) 3 (d) -2
d
Which is the closest to -1? (a) 0.1 (b) 3 (c) 14 (d) 0 (e) 12/19
d
What is the closest to 0.1 in 2/23, 11/3, -3/7, 5?
2/23
What is the closest to 1 in 2, -0.581, 2/17?
2/17
Which is the closest to 82.8? (a) 1 (b) -3/5 (c) 5
c
Which is the nearest to -8? (a) 0.04 (b) -25 (c) 1 (d) 4 (e) 0
e
Which is the nearest to -6? (a) -2/11 (b) 2/7 (c) 2/39 (d) 5 (e) -1/52
a
Which is the closest to -1/4? (a) -377 (b) 1 (c) -4 (d) 0.3 (e) 2/13
e
What is the closest to 0.31 in 5, 1/3, 1/14, -39?
1/3
What is the closest to -0.1 in -0.73, 0.4, 4/7, -14?
0.4
What is the nearest to -2/5 in 31.692, -1/5, -3/7?
-3/7
Which is the nearest to -0.041? (a) 2 (b) 1/9 (c) -5/2 (d) 0.01
d
Which is the closest to -7? (a) 0.08 (b) -0.5 (c) 0.5 (d) -0.1
b
What is the closest to 1 in 1.4, -4, 38, -4/7?
1.4
What is the closest to -4/11 in -5, 0.4, -2/9, -0.22?
-2/9
Which is the nearest to -4? (a) -4.71 (b) -3 (c) 0.3 (d) 5
a
Which is the nearest to -2/493? (a) 21 (b) -2 (c) 0.3
c
What is the nearest to 3 in -0.4, 4740, 0?
0
Which is the nearest to 0.1? (a) -3 (b) 0.106 (c) 2/31
b
What is the closest to 0.36 in -0.4, -2, -488?
-0.4
What is the closest to 0 in 21007, 4, -2?
-2
What is the closest to -93 in -0.58, 1/4, 3?
-0.58
Which is the nearest to 2? (a) 2/9 (b) 108 (c) 10/17 (d) 0.4 (e) 8
c
Which is the closest to -0.1? (a) 11765 (b) 0.09 (c) 4
b
Which is the nearest to 0.1? (a) 0 (b) 3/7 (c) 414 (d) 9 (e) 2/5
a
What is the closest to 74 in 5, -1, 0.5, -0.4, 0.03?
5
What is the closest to -33/4 in 1/7, -5, -11, -9/5, -0.3?
-11
What is the closest to -6/13 in -1/6, -71, 23?
-1/6
Which is the nearest to -2? (a) 45 (b) 165 (c) 5 (d) -6
d
Which is the closest to -2/7? (a) 42369 (b) 1/5 (c) 5
b
What is the nearest to -0.1 in 2, 0.0528, 1?
0.0528
What is the nearest to 1/54 in 1, -2, 1/4?
1/4
Which is the nearest to 16/7? (a) -3/7 (b) 161 (c) -12
a
What is the nearest to 3 in 1/24, 0.08, -5, -18?
0.08
Which is the closest to -2/15? (a) 0.02 (b) -1 (c) 3 (d) 52
a
Which is the closest to 0? (a) 2 (b) 3 (c) -5366
a
Which is the closest to 2/5? (a) -2/19 (b) 5 (c) 403 (d) 3 (e) 0.2
e
What is the closest to -0.9 in 0, -38, 2/19?
0
What is the nearest to 1 in -906, -3/25, 5?
-3/25
Which is the nearest to -2/3? (a) 517 (b) -6/7 (c) -4
b
Which is the closest to 1875? (a) -1/3 (b) 0.2 (c) 15 (d) -3
c
Which
|
{
"pile_set_name": "DM Mathematics"
}
|
ded by 56?
42
Calculate the remainder when 258540 is divided by 1780.
440
What is the remainder when 11817785 is divided by 25803?
11
What is the remainder when 22711885 is divided by 7570627?
4
What is the remainder when 13152045 is divided by 13152031?
14
Calculate the remainder when 106704 is divided by 106509.
195
What is the remainder when 46620751 is divided by 282550?
1
What is the remainder when 95429193 is divided by 33?
24
Calculate the remainder when 147839 is divided by 309.
137
Calculate the remainder when 484247 is divided by 1625.
1622
Calculate the remainder when 2478938 is divided by 206578.
2
Calculate the remainder when 2656795 is divided by 331989.
883
What is the remainder when 19106929 is divided by 830736?
1
Calculate the remainder when 77395 is divided by 653.
341
Calculate the remainder when 22441598 is divided by 32.
30
Calculate the remainder when 189723 is divided by 11850.
123
What is the remainder when 1970204 is divided by 394038?
14
Calculate the remainder when 16836 is divided by 16790.
46
Calculate the remainder when 500653 is divided by 4814.
4811
What is the remainder when 291321329 is divided by 4515?
4499
Calculate the remainder when 551699 is divided by 1059.
1019
Calculate the remainder when 62479 is divided by 49.
4
What is the remainder when 1075072844 is divided by 1307?
1301
Calculate the remainder when 566474 is divided by 62409.
4793
What is the remainder when 1527316 is divided by 669?
658
Calculate the remainder when 22039866 is divided by 1807.
1694
What is the remainder when 174539 is divided by 18881?
4610
Calculate the remainder when 579808 is divided by 8653.
57
Calculate the remainder when 34883 is divided by 1102.
721
What is the remainder when 8313 is divided by 1214?
1029
What is the remainder when 381780 is divided by 53?
21
What is the remainder when 623119 is divided by 44?
35
Calculate the remainder when 30321 is divided by 15038.
245
Calculate the remainder when 12101469 is divided by 1728772.
65
Calculate the remainder when 560135 is divided by 37341.
20
Calculate the remainder when 3481477 is divided by 114.
31
What is the remainder when 2108105 is divided by 702?
701
Calculate the remainder when 127356702 is divided by 1202.
1196
Calculate the remainder when 40472 is divided by 662.
90
Calculate the remainder when 9184440 is divided by 15462.
12
Calculate the remainder when 50994 is divided by 50835.
159
What is the remainder when 7820429 is divided by 378?
365
What is the remainder when 5168102 is divided by 738266?
240
Calculate the remainder when 397919 is divided by 394.
373
What is the remainder when 33735514 is divided by 5096?
5090
Calculate the remainder when 32810 is divided by 15751.
1308
What is the remainder when 6426053 is divided by 637?
634
What is the remainder when 9992 is divided by 873?
389
Calculate the remainder when 2975135 is divided by 1664.
1567
Calculate the remainder when 5634887 is divided by 804981.
20
Calculate the remainder when 266153 is divided by 9175.
78
What is the remainder when 4570072 is divided by 56420?
52
What is the remainder when 43004805 is divided by 264?
261
Calculate the remainder when 34505170 is divided by 4058.
4054
Calculate the remainder when 602918 is divided by 71.
57
What is the remainder when 2201045 is divided by 2262?
119
What is the remainder when 7756438 is divided by 120?
118
Calculate the remainder when 111264 is divided by 55317.
630
What is the remainder when 2273589 is divided by 447?
147
Calculate the remainder when 230040 is divided by 107.
97
What is the remainder when 39673 is divided by 39614?
59
Calculate the remainder when 3700962 is divided by 772.
766
What is the remainder when 4172129 is divided by 563?
299
Calculate the remainder when 2176 is divided by 635.
271
What is the remainder when 194239 is divided by 1351?
1046
What is the remainder when 63688 is divided by 2387?
1626
Calculate the remainder when 114866 is divided by 16371.
269
Calculate the remainder when 416741 is divided by 4295.
126
Calculate the remainder when 15146970 is divided by 15146935.
35
What is the remainder when 10422168 is divided by 165431?
15
What is the remainder when 151178009 is divided by 172?
157
What is the remainder when 2254969 is divided by 45099?
19
What is the remainder when 78912 is divided by 39228?
456
Calculate the remainder when 284791 is divided by 1705.
56
What is the remainder when 3031478 is divided by 310?
298
Calculate the remainder when 45729050 is divided by 244.
34
Calculate the remainder when 168838 is divided by 2715.
508
Calculate the remainder when 577505 is divided by 174.
173
What is the remainder when 2184339 is divided by 14959?
325
What is the remainder when 45057212 is divided by 15019051?
59
Calculate the remainder when 127812125 is divided by 8437.
12
Calculate the remainder when 5044396 is divided by 13001.
8
Calculate the remainder when 104693 is divided by 30.
23
Calculate the remainder when 883418 is divided by 1686.
1640
Calculate the remainder when 9227734 is divided by 16.
6
What is the remainder when 17404456 is divided by 1434?
1432
Calculate the remainder when 231241 is divided by 32750.
1991
Calculate the remainder when 15121778 is divided by 1014.
1010
Calculate the remainder when 2931627 is divided by 386.
343
What is the remainder when 4100149 is divided by 4952?
4845
What is the remainder when 3461482 is divided by 32350?
32
What is the remainder when 582869 is divided by 4380?
329
What is the remainder when 1045738 is divided by 58?
56
What is the remainder when 99082237 is divided by 32?
29
What is the remainder when 478006 is divided by 51?
34
What is the remainder when 1488859 is divided by 16360?
99
What is the remainder when 104281 is divided by 47?
35
Calculate the remainder when 5560250 is divided by 30218.
138
What is the remainder when 7216064 is divided by 416?
128
What is the remainder when 166162 is divided by 41388?
610
Calculate the remainder when 459441 is divided by 459437.
4
Calculate the remainder when 404831 is divided by 5618.
335
Calculate the remainder when 5978464 is divided by 501.
31
What is the remainder when 143683 is divided by 61?
28
Calculate the remainder when 141549 is divided by 3709.
607
Calculate the remainder when 763888 is divided by 40114.
1722
Calculate the remainder when 366411 is divided by 211.
115
Calculate the remainder when 4147984 is divided by 3050.
3034
What is the remainder when 2751304 is divided by 377?
335
Calculate the remainder when 302036 is divided by 100660.
56
What is the remainder when 3505382 is divided by 20380?
22
What is the remainder when 241020 is divided by 29638?
3916
What is the remainder when 6602400 is divided by 943200?
0
Calculate the remainder when 9802356 is divided by 1006.
898
What is the remainder when 57632277 is divided by 58?
55
Calculate the remainder when 173752559 is divided by 60.
59
Calculate the remainder when 305499348 is divided by 34.
32
What is the remainder when 1260338 is divided by 3902?
3894
Calculate the remainder when 419724 is divided by 4034.
188
Calculate the remainder when 18121558 is divided by 214.
38
Calculate the remainder when 12128667 is divided by 14269.
17
What is the remainder when 343971 is divided by 1323?
1314
What is the remainder when 750596 is divided by 3459?
3452
Calculate the remainder when 196743 is divided by 1428.
1107
Calculate the remainder when 7557799 is divided by 9971.
9752
Calculate the remainder when 3966311 is divided by 93.
47
What is the remainder when 3407048 is divided by 15?
8
Calculate the remainder when 489832 is divided by 539.
420
Calculate the remainder when 2440001 is divided by 20.
1
What is the remainder when 4151206 is divided by 310?
306
Calculate the remainder when 152389535 is divided by 2198.
2195
What is the remainder when 317683 is divided by 1138?
181
Calculate the remainder when 36253008 is divided by 1697.
1694
What is the remainder when 443956 is divided by 110970?
76
What is the remainder when 30383158 is divided by 2262?
2236
What is the remainder when 49012 is divided by 16090?
742
Calculate the remainder when 732463 is divided by 45778.
15
Calculate the remainder when 31448 is divided by 449.
18
Calculate the remain
|
{
"pile_set_name": "DM Mathematics"
}
|
w - 8. Let i be s(6). Suppose 0 = -5*u + 4*q - i, 4*u + q = 3*q - 8. What are the prime factors of 1/(u + 10/4)?
2
Let s = -29 - -43. List the prime factors of s.
2, 7
List the prime factors of 1/1*-2 - 292/(-2).
2, 3
List the prime factors of (1 - 1 - 1)/(1/(-59)).
59
Suppose 69 = 3*g - 3. Suppose -7*o = -3*o - g. What are the prime factors of o?
2, 3
Let w be (-19 + 1)*(-16)/12. What are the prime factors of 1 + (w - (2 - 1))?
2, 3
Let o(v) be the third derivative of v**6/120 - 2*v**2. Let n(a) = -3*a**3 - 4*a**2 - 6*a + 1. Let z(d) = -n(d) - 4*o(d). List the prime factors of z(5).
2
Let z(a) = 2*a**2 + 3*a - 7. What are the prime factors of z(5)?
2, 29
Let p = -5 - -1. Let j = 7 + p. Suppose -2*x + 30 = -j*s, -x - 3*x + 76 = -2*s. List the prime factors of x.
3, 7
Suppose -15 = -0*v - 3*v + 3*u, -5*v = 5*u + 5. List the prime factors of 13/v - (-12)/8.
2
Let m = -61 - -88. Suppose -2*z + m = z. Suppose 0 = -g + z + 3. List the prime factors of g.
2, 3
Suppose 0 = 7*k - 12*k + 350. List the prime factors of k.
2, 5, 7
Let f(y) = -y**3 + 7*y**2 + 8. Let z be f(7). Let k(u) = u**2 + 4*u + 2. Let h be k(-2). Let o = z + h. What are the prime factors of o?
2, 3
Let r = -8 - -19. What are the prime factors of r?
11
Let l(j) = 2*j**3 - 9*j**2 - 2*j - 1. What are the prime factors of l(5)?
2, 7
Let a = 10 + -6. What are the prime factors of 10/4 + (-2)/a?
2
Let l = -1 - -9. Let m = 29 - l. What are the prime factors of m?
3, 7
Let q = 65 + -20. What are the prime factors of q?
3, 5
What are the prime factors of (-65)/1*(-2)/2?
5, 13
Let l = 8 + -8. Let n be (-168)/7 + (l - -1). Let x = n + 38. List the prime factors of x.
3, 5
Suppose -2*c = -0 - 12. Let g = c - -11. List the prime factors of g.
17
Let c be (-2)/5 + (-54)/15. Let s(z) be the third derivative of -z**4/6 + z**3/3 + 6*z**2. List the prime factors of s(c).
2, 3
Let o(x) = -x**3 - 12*x**2 - 2*x + 8. Let w be o(-12). Suppose -3*n - 4*c + 93 = c, -n = 2*c - w. List the prime factors of n.
2, 13
Let u be ((-1)/2)/(1/(-2)). Let d = 21 - u. List the prime factors of d.
2, 5
Let u(t) = 3*t - 3. Let x(j) = -7*j**2 - 7*j + 4. Let b(o) = 6*o**2 + 7*o - 4. Let f(h) = 6*b(h) + 5*x(h). Let g be f(-8). List the prime factors of u(g).
3
Suppose y = -r - 32 - 57, 4*y - 2*r + 332 = 0. Let c = -36 - y. What are the prime factors of c?
7
Suppose -2*u = 3*u - 20. Suppose -u*q = -2 - 10. What are the prime factors of (-3)/((-15)/4 + q)?
2
Suppose 5*c - 44 = -a, 4*c - 6*c = -2*a + 40. List the prime factors of a.
2, 3
Let d = 40 + 51. What are the prime factors of d/14 + (-3)/2?
5
Suppose 0 = -3*i - 114 - 111. Let h = -44 - i. Let b = h + -17. What are the prime factors of b?
2, 7
Let h(s) = -s**3 - 8*s**2 - 7*s - 2. Let g(t) = t**3 - 6*t**2 - 2*t + 5. Let k be g(6). Let n be h(k). Let r = 0 - n. List the prime factors of r.
2
List the prime factors of ((-5 - 2) + 1)*-1.
2, 3
Let q(t) = 51*t**2. Let c be q(1). Suppose 4*r = -3*v + c, -r + 4*v = -v + 16. What are the prime factors of r?
3
Suppose 5*w = -0*y + 2*y, -3*y + 3*w + 9 = 0. Let k(s) = -4*s**3 - 3*s + 6*s**2 + y*s**3 + 1 - 5*s. What are the prime factors of k(-7)?
2
Let l(h) = -2*h + 1. Let c be l(-1). Suppose -c*x - 3 = -4*p, -x = 3*p - 4*x. Suppose f = -3*q - 4 + 29, -p*q = -3*f + 15. What are the prime factors of f?
2, 5
Suppose -5*r + 0*r = -3*w - 262, 0 = -5*r - 4*w + 234. List the prime factors of r.
2, 5
Let o = -19 - -46. List the prime factors of o.
3
Let z = -26 - -14. Let q = z - -18. Suppose 2 = -b + q. List the prime factors of b.
2
Suppose -2*w - 1 = -3, -2*t - 4*w = -112. What are the prime factors of t?
2, 3
Let l(c) = c**2 + 4*c - 3. Let b be l(2). Let u = b + -3. What are the prime factors of u?
2, 3
Suppose 3*u = r + r + 77, -20 = -u - 5*r. Let g = u - 8. What are the prime factors of 1/(g/(-9) - -2)?
3
Suppose -2*r = r - 4*u, -r = -5*u. Suppose r = g - 3*t - 35, -3*g = -7*g + 2*t + 110. Suppose -5*x + g = -24. List the prime factors of x.
2, 5
Suppose 0 = 5*j - 33 - 62. Let u = j - 14. What are the prime factors of u?
5
Let h(p) = p**3 + 4*p**2 + p. Let y be h(-4). Let g(c) be the third derivative of -c**5/60 - c**4/6 + c**3/2 + c**2. What are the prime factors of g(y)?
3
Let j(l) = 5*l - 9. List the prime factors of j(9).
2, 3
Suppose 2*m + 15 = 7*m. Suppose -t + m = -2*t, 3*y = -2*t - 72. Let s = 36 + y. List the prime factors of s.
2, 7
Let z = -3 + -1. Let d(h) = -5*h - 6. Let s be d(z). Suppose s = -4*x + 46. What are the prime factors of x?
2
Suppose -2*k = k - 48. Let c be (-9)/3*k/(-6). Let p = c + -4. List the prime factors of p.
2
Suppose 5*r - 16 = -6. Let g(k) = 2*k**3 - 2*k**2 + k - 1. List the prime factors of g(r).
3
Let g = 10 + -15. List the prime factors of 6/g*(-120)/16.
3
Let d(h) = 5*h**2 + 2*h. Let c be d(-2). Suppose -2*f + 12 = -j, 40 = 5*f + 4*j - c. What are the prime factors of f?
2
Let k = -175 - -252. What are the prime factors of k?
7, 11
Suppose 3*x + 4*v + 14 = 0, 5*v - 4*v = -4*x + 3. Suppose -5*u = -3*t + 22, 0*u = -2*u + x. List the prime factors of t.
3
List the prime factors of (-3)/5 + (-834)/(-15).
5, 11
Suppose 5*s + 3*u - 873 = 0, -4*s - 5*u - 365 + 1053 = 0. What are the prime factors of s?
3, 59
Suppose 2*j = -5*d - 3 + 19, 0 = -4*d + j + 5. Suppose d*v = -3*x - v + 78, -2*x = -4*v - 22. List the prime factors of x.
3, 7
Let a = -621 + 973. List the prime factors of a.
2, 11
Let r = 51 - 31. List the prime factors of r.
2, 5
Suppose -34 + 128 = 2*f. List the prime factors of f.
47
List the prime factors of (-4)/(48/(-321)) - 9/12.
2, 13
Suppose -3*b = -4*d - 8, 15 = 3*b + 5*d - 2. Suppose -3*l = b*p - 22, 2*l + l + 2*p = 14. What are the prime factors of 14*1/(4 - l)?
7
Let s = -9 + 24. Let u = s - 6. What are the prime factors of u?
3
Let o be 4 + 1*(-1 + 0). Let v(m) = m + 12. Let c be v(-5). Let f = c - o. List the prime factors of f.
2
Let t(g) = -g**2 + 4*g. Let y be t(4). Suppose -x = -1 - y. What are the prime factors of 5 + -2*x + 2?
5
List the prime factors of 198/(-15)*(-165)/6.
3, 11
Suppose 0*b - b + 66 = 0. Let j = -6 - -7. Suppose -5*q - j = -b. What are the prime factors of q?
13
Suppose 0*r + w + 2 = -3*r, -3*r + 4*w = 22. Let t be 0 + (r - (-71 - 1)). Suppose -6*x + x + t = 0. What are the prime factors of x?
2, 7
Let q(i) = 7*i**2 + i. Suppose 2*p - 4 = -2*j, 0 = 4*p - 2*p - 3*j + 1. Let d be q(p). List the prime factors of 4/d*(1 - -13).
7
List the prime factors of 81/3*(-1 - -2).
3
Suppose y = -4*z - 0*y - 8, -5*y + 8 = 4*z. What are the prime factors of (-13)/(-2*z/(-12))?
2, 13
Let d(y) = y - 7. Let x be d(11). Suppose -2*w - 3*p = -29, 0 = x*w - 0*p + 2*p - 78. List the prime factors of w.
2, 11
Let g(p) = 6*p + 8. List the prime factors of g(10).
2, 17
Let r(x) be the first derivative of x**4/4 + 2*x**3/3 - 5*x**2/2 - 2*x - 2. List the prime factors of r(-3).
2
Let l(g) = g**3 + 5*g**2 + 3*g + 6. Let y be l(-5). Let q = 13 + y. Suppose 6*j - 4*j + 4*w - 24 = 0, 0 = -2*w + q. List the prime factors of j.
2
Let p be (-4)/(-22) - (-332)/(-11). Let r = 42 + p. What are the prime factors of r?
2, 3
What are the prime factors of ((-3)/(-3) - 2/(-1))*15?
3, 5
Let a(h) be the third derivative of -h**6/120 + h**5/12 + 3*h**4/8 - h**3 + 3*h**2. List the prime factors of a(6).
2, 3
Let j(a) = a + 2. Let f be j(11). Let m = 28 - f. List the prime factors of m.
3, 5
Let j = -35 + 45. List the prime factors of j.
2, 5
Let x(q) = 5*q + 17. Let n(i) = 11*i + 34. Let c(p) = -6*n(p) + 13*x(p). List the prime factors of c(0).
17
Let p(z) = 4*z**3 - 6*z**2 - 4*z + 1. What are the prime factors of p(3)?
43
Let w be 2*92/(-8)*-1. Suppose -4*c + 127 = w. What are the prime factors of c?
2, 13
Suppose 6*n - 69 - 69 = 0. List the prime factors of n.
23
Let o be (6/(-4))/((-3)/64). Suppose -o = -5*v + 8. What are the prime factors of v?
2
Suppose -3*g + 3*v = 2*g - 45, 0 = -5*v - 25. Let y = 13 - g. What are the prime factors of y?
7
Suppose 5*h + 272 = 3*d, -4*d + 2*h + 328 = 4*h. List the prime factors of d.
2, 3, 7
Let s = -1 + 1. Suppose -4*h - c + 14 = -s*h, 0 = 5*h + c - 17. List the prime factors of h.
3
Let f(v) = -6*v. List the prime factors of f(-5).
2, 3, 5
Let s = 1 + 34. Let a = s + -14. List the prime factors of a.
3, 7
Suppose 50 + 12 = -2*z + s, 5*z + 145 = 5*s. What a
|
{
"pile_set_name": "DM Mathematics"
}
|
nd s, given that -20*s**2 + 34*s**2 - 12*s**2 + 4*s - 2*s**3 = 0.
-1, 0, 2
Let h(t) be the third derivative of t**5/160 - t**4/16 + 3*t**3/16 - 20*t**2. Determine x so that h(x) = 0.
1, 3
Let z(k) be the first derivative of -k**6/24 + k**5/10 - k**4/16 - 3. Let z(j) = 0. What is j?
0, 1
Let q(s) be the first derivative of -s**5/50 + s**4/30 - s - 3. Let u(x) be the first derivative of q(x). Factor u(z).
-2*z**2*(z - 1)/5
Let s = 37 - 36. Let o be s*4*2/4. Suppose 1/5*x + 1/5*x**o - 1/5 - 1/5*x**3 = 0. Calculate x.
-1, 1
Let x be -1 + 3 + -1 + 1. Solve -2*j - 5*j**4 + 4*j**2 + 2*j**5 + x*j**4 - 2*j**4 + j**4 = 0.
-1, 0, 1
Suppose 2*o - 20 = -m, -o - 5*m + 25 + 3 = 0. Let n = -5 + o. Factor -u**5 + u**2 - u - 5*u**2 + 0*u**3 + 2*u**4 + 2*u**n + 2.
-(u - 2)*(u - 1)**2*(u + 1)**2
Let a(r) be the third derivative of r**6/480 - r**5/240 + 8*r**2. Let a(c) = 0. What is c?
0, 1
Let q be (6 + -7)/(3/(-4)). Let k(z) be the first derivative of -7/2*z**4 + 32/9*z**3 + 6/5*z**5 + 2 + 0*z - q*z**2. Factor k(f).
2*f*(f - 1)*(3*f - 2)**2/3
Suppose -4/13*t**2 + 2/13*t**3 + 0 + 2/13*t = 0. Calculate t.
0, 1
Let p(i) be the third derivative of i**6/780 - i**4/52 - 2*i**3/39 - 23*i**2. What is t in p(t) = 0?
-1, 2
Let x be 4/36 - 2/(-9). Solve 0 + 1/3*l + x*l**2 = 0 for l.
-1, 0
Let h(g) = g**2 + 7*g - 6. Let c be h(-8). Solve p + 1/2*p**c + 0 = 0 for p.
-2, 0
Let a be 1/(((-35)/(-10))/7). Factor 24/7*k - 50/7*k**4 - 8/7 - 60/7*k**3 + 22/7*k**a.
-2*(k + 1)**2*(5*k - 2)**2/7
Factor -2*x**2 - 1/2*x**3 + 2*x**4 + 1/2*x**5 + 0 + 0*x.
x**2*(x - 1)*(x + 1)*(x + 4)/2
Let s = -2 - -4. Let h be 0 + s + 28/(-16). Let -1/2*f**2 + 1/2*f**3 + 1/4 - 1/4*f**5 - h*f + 1/4*f**4 = 0. What is f?
-1, 1
What is c in c - 2*c - 6 + 6 + c**2 = 0?
0, 1
Let d(g) be the second derivative of -2*g**5/15 - g**4/18 + 4*g**3/9 + g**2/3 - 8*g. Factor d(q).
-2*(q - 1)*(q + 1)*(4*q + 1)/3
Let t(m) = m**3 - m**2 + 1. Let v(j) = -j**2 + j + 1. Let k(u) = 4*t(u) - 4*v(u). Find c such that k(c) = 0.
-1, 0, 1
Factor 2*y**2 + 2*y**2 - 4*y + y - 5*y**2.
-y*(y + 3)
Suppose -4*i = -2*i - s - 8, -2*i = s. Let g = 2038/3 + -677. Let -1/3 + p**3 - g*p**i + 5/3*p = 0. What is p?
1/3, 1
Let d(c) = c**3 - 11*c**2 + 22*c + 19. Let z be d(8). Determine b so that 6/5 + 6/5*b**2 - 12/5*b**4 - 12/5*b**z + 3*b - 3/5*b**5 = 0.
-2, -1, 1
Let l(m) be the second derivative of m**5/150 - m**4/45 + m**3/45 + 2*m. Factor l(f).
2*f*(f - 1)**2/15
Let r(f) = -f - 6. Let m be r(-9). Let k = m - 0. Factor n - 3*n**3 - 2*n**3 - n**k + 5*n**3.
-n*(n - 1)*(n + 1)
Suppose 0 = 5*o - 0 + 15. Let z = o - -7. Solve 2/5*d**5 - 2/5*d**z + 2/5*d - 2/5 - 4/5*d**3 + 4/5*d**2 = 0 for d.
-1, 1
Let i be (-2)/4*4 - -2. Suppose -2*v = -i*v. Find j, given that v + 8/3*j - 8*j**2 - 4*j**4 + 2/3*j**5 + 26/3*j**3 = 0.
0, 1, 2
Let a(d) = d + 1. Let j(w) be the first derivative of w**3 + 11*w**2/2 + 5*w + 2. Let c(t) = -5*a(t) + j(t). Factor c(x).
3*x*(x + 2)
Let q(c) be the second derivative of -c**6/15 - c**5/10 + c**4/2 + 5*c**3/3 + 2*c**2 - 8*c. Suppose q(p) = 0. Calculate p.
-1, 2
Suppose 2/7*n**2 + 0 + 0*n = 0. Calculate n.
0
Let w(r) be the first derivative of r**7/840 - r**6/180 + r**5/120 - r**3 - 4. Let s(u) be the third derivative of w(u). Factor s(x).
x*(x - 1)**2
Let w = -1/372 + 559/372. Factor -5/2*j**2 + 9/2 - 1/2*j**3 - w*j.
-(j - 1)*(j + 3)**2/2
Suppose 2 - 26 = -3*l. Let g = -5 + l. Solve -13*m**g - 3/2*m**5 + 7*m**4 + 12*m**2 + 1 - 11/2*m = 0 for m.
2/3, 1
Let r(p) = 4*p**2 + 44*p + 3. Let g be r(-11). Factor -12 + 6*q - 3/2*q**g + 3*q**2.
-3*(q - 2)**2*(q + 2)/2
Suppose -p = -5*p - 8, -6 = -3*a + 3*p. Let 0*u + a + 0*u**2 - 2/7*u**3 = 0. Calculate u.
0
Let y be (2/(-4))/(-5 + (-203)/(-42)). Solve 1/3*p**5 + 1/3*p**y + 0*p**2 + 0 + 0*p + 2/3*p**4 = 0 for p.
-1, 0
Suppose -2*h = -c + 11, 3*h - 19 = -5*c - 3. Let u(f) be the third derivative of 0 - f**2 - 1/3*f**3 + 0*f + 0*f**4 + 1/30*f**c. Let u(g) = 0. What is g?
-1, 1
Let f = 10 - 6. Factor 2*r**3 - 2*r**3 - 5*r**2 + 3*r**f - 3*r**5 + 2*r**2 + 3*r**3.
-3*r**2*(r - 1)**2*(r + 1)
Let m(w) = w**4 + w**3 + w**2. Let g(s) = 7*s**4 - 3*s**3 + 11*s**2 + 8*s - 8. Let y(l) = g(l) - 5*m(l). Determine d so that y(d) = 0.
-1, 1, 2
Determine f, given that 5*f + 3*f - 3 - f**2 + f**5 - 5*f**3 - 1 + f**4 = 0.
-2, 1
Let y(h) be the first derivative of -h**3/9 - 5*h**2/3 - 25*h/3 + 16. Factor y(n).
-(n + 5)**2/3
Let g be 3 + 17/(-15) + (-12)/(-90). Suppose -4/5*a + 14/5*a**g + 8/5*a**3 + 0 = 0. Calculate a.
-2, 0, 1/4
Let j(c) be the third derivative of -2*c**7/105 - c**6/6 - 3*c**5/5 - 7*c**4/6 - 4*c**3/3 - 7*c**2. Suppose j(s) = 0. What is s?
-2, -1
Suppose -h - 3 = -4*h. Factor 2*b + h - 12*b**3 - 1 - 4*b**2 + 14*b**3.
2*b*(b - 1)**2
Let u(z) = 7*z**4 - 3*z**3 - 11*z**2 - 10*z - 4. Let a(q) = -3*q**4 + q**3 + 5*q**2 + 5*q + 2. Let v(l) = -10*a(l) - 4*u(l). Factor v(p).
2*(p - 2)*(p + 1)**3
Let h = -127 - -509/4. Let m(j) be the first derivative of 1 + 1/5*j**5 + 0*j - h*j**4 + 0*j**2 + 0*j**3. Factor m(w).
w**3*(w - 1)
Let x(f) be the first derivative of 0*f**3 + 1/30*f**5 + 1/24*f**6 + f**2 + 3 + 0*f**4 + 0*f. Let q(m) be the second derivative of x(m). Factor q(a).
a**2*(5*a + 2)
Let m(q) = -3*q**2 + q. Let h = -5 + 3. Let i(j) = 10*j**2 - 3*j. Let w = 3 + -10. Let t(p) = h*i(p) + w*m(p). Let t(s) = 0. Calculate s.
0, 1
Let c(k) be the first derivative of 2*k**5/5 + 3*k**4/2 + 2*k**3 + k**2 - 2. Let c(s) = 0. Calculate s.
-1, 0
Let t(z) = 22*z**3 - 18*z**2 - 72*z - 24. Let v(q) = -7*q**3 + 6*q**2 + 24*q + 8. Let a(l) = -3*t(l) - 8*v(l). Find d such that a(d) = 0.
-1, -2/5, 2
Let p(u) = 3*u + 2. Let w be p(-1). Let h be w/4 + 91/28. What is z in 60/7*z**2 - 50/7*z**h + 16/7 + 72/7*z = 0?
-2/5, 2
Let s(d) be the third derivative of -d**5/30 + d**4/3 - 4*d**3/3 + 10*d**2. Determine h so that s(h) = 0.
2
Let p(j) = -j - 1. Let q be p(-3). Factor s**3 - s**4 - 3*s**q + 3*s**2.
-s**3*(s - 1)
Let l(b) be the third derivative of b**10/16800 + b**9/10080 - b**5/60 - b**2. Let g(m) be the third derivative of l(m). Factor g(v).
3*v**3*(3*v + 2)
Let c(s) be the first derivative of -1/10*s**4 + 1/50*s**5 + 2/15*s**3 + 0*s**2 + s + 1. Let f(o) be the first derivative of c(o). Factor f(t).
2*t*(t - 2)*(t - 1)/5
Let l(y) be the second derivative of y**7/5040 + y**6/1440 - y**5/120 - y**4/6 - 5*y. Let w(q) be the third derivative of l(q). Suppose w(o) = 0. What is o?
-2, 1
Let w(q) be the first derivative of -q**6/3 - 8. Factor w(v).
-2*v**5
Factor 1/5*d**5 + 2/5*d**2 + d**3 + 0*d + 4/5*d**4 + 0.
d**2*(d + 1)**2*(d + 2)/5
Factor -10*u**2 + 3*u**2 + 10*u**4 + 36*u**3 - 8 + 41*u**2.
2*(u + 1)**2*(u + 2)*(5*u - 2)
Suppose 27*x = -32*x + 51*x. Let 0*y + 2/7*y**3 + 2/7*y**4 + 0 + x*y**2 = 0. What is y?
-1, 0
Suppose -4*x = x. Suppose 0*b + 4*b - 4 = x. Determine t, given that -b - 2*t**2 - 2 - 1 + 6*t = 0.
1, 2
Let n(h) be the first derivative of -2*h**6/21 - 4*h**5/7 - h**4 - 4*h**3/7 + 5. Determine i, given that n(i) = 0.
-3, -1, 0
Let g be 6/18 - 2/(-3). Let d(n) be the first derivative of -g + 1/5*n**2 - 2/15*n**3 + 0*n. Find v such that d(v) = 0.
0, 1
Let c(m) be the first derivative of m**4/6 + 8*m**3/9 - 19*m**2/3 + 28*m/3 + 48. Factor c(a).
2*(a - 2)*(a - 1)*(a + 7)/3
Let i be (0 - 9/3)/(-1). Find l such that -l**2 - 7*l + 10*l - i*l = 0.
0
Let z(c) be the first derivative of c**7/2520 - c**5/360 + c**3/3 + 2. Let w(a) be the third derivative of z(a). Factor w(p).
p*(p - 1)*(p + 1)/3
Let i = 1 + -5. Let m be (i/(-50))/((-10)/(-100)). Determine x so that m + 2/5*x**2 + 6/5*x = 0.
-2, -1
Let u be 72/(-48) + (-19)/18 + 3. Factor -2/9*d**4 - 4/9*d**3 + 2/9 + u*d + 0*d**2.
-2*(d - 1)*(d + 1)**3/9
Let t(j) be the second derivative of -2*j**6/75 + 4*j**5/25 - j**4/3 + 4*j**3/15 + 3*j. Let t(r) = 0. Calculate r.
0, 1, 2
Let w be 110/(-1540)*1/((-2)/24). Factor 2/7 + 6/7*q**2 + 2/7*q**3 + w*q.
2*(q + 1)**3/7
Let r = -12 + 16. Let o(q) be the second derivative of 0 - 1/6*q**r - 1/2*q**3 - 1/2*q**2 + 2*q. Factor o(g).
-(g + 1)*(2*g + 1)
Let j(b) be the first derivative of b**6/12 - 4*b**5/5 + 11*b**4/4 - 4*b**3 + 9*b**2/4 + 7. Determine w so that j(w) = 0.
0, 1, 3
Solve -9 - 14 + 8 - 12 - 18*p - 3*p**2 = 0.
-3
Let u be (-3)/(-21) + (-83)/(-7). Suppose 0 = -g - 5*g + u. Find b such that 0 + 2*b**4 - 6/5*b**5 + 4/5*
|
{
"pile_set_name": "DM Mathematics"
}
|
order.
2405, 4, 2, -4
Sort 0, -3, -19, -26, 10338, 4 in ascending order.
-26, -19, -3, 0, 4, 10338
Sort -14, 1, 1430, -2, -40.
-40, -14, -2, 1, 1430
Sort -1, -7, 101, 476, 2, 4.
-7, -1, 2, 4, 101, 476
Put 603, 71, -1.51, 3, -0.5 in descending order.
603, 71, 3, -0.5, -1.51
Sort -185, -1, -80, -4, 1, 5 in increasing order.
-185, -80, -4, -1, 1, 5
Sort 1, -3, -4, -17337, -1, 29.
-17337, -4, -3, -1, 1, 29
Sort 0.5, -4/9, 14933/433.
-4/9, 0.5, 14933/433
Sort 164, -4, 8, -1, -224, 0 in ascending order.
-224, -4, -1, 0, 8, 164
Sort -34, -13/33, 114.
-34, -13/33, 114
Sort 1, -4/3401, 4 in descending order.
4, 1, -4/3401
Sort -142918, -0.12, 3/4, 5, 2.
-142918, -0.12, 3/4, 2, 5
Put 1, 2, -0.2, -2/1275, 12, 0.3 in decreasing order.
12, 2, 1, 0.3, -2/1275, -0.2
Put 1, 0, -549, 675 in descending order.
675, 1, 0, -549
Sort 2/29, 456, -427 in increasing order.
-427, 2/29, 456
Put 0.4, 3, 210750, 7, -2 in increasing order.
-2, 0.4, 3, 7, 210750
Sort -32, 4, -6, 3, 1, -5, 3131 in descending order.
3131, 4, 3, 1, -5, -6, -32
Sort -1, -27, -303, -3, 18 in descending order.
18, -1, -3, -27, -303
Put -76, 0.5, 1/131, 5/13 in descending order.
0.5, 5/13, 1/131, -76
Sort 507, 3, 6, -1, 40 in decreasing order.
507, 40, 6, 3, -1
Sort 15, -3, -0.0742, 1/4 in increasing order.
-3, -0.0742, 1/4, 15
Put 151, 1, 208093 in descending order.
208093, 151, 1
Sort 0, -8598, 6, -60, -1, -5, 3 in ascending order.
-8598, -60, -5, -1, 0, 3, 6
Put -82, 4281, -1712 in decreasing order.
4281, -82, -1712
Put 30373237, 3, 0 in increasing order.
0, 3, 30373237
Put 7, -417, -7298 in descending order.
7, -417, -7298
Put 5, 4, 10, -4, 88, -53 in decreasing order.
88, 10, 5, 4, -4, -53
Sort -5, -6, -9, -7, 0, -1 in ascending order.
-9, -7, -6, -5, -1, 0
Put -3, 422, 2, 0, -3/5, 139/6 in decreasing order.
422, 139/6, 2, 0, -3/5, -3
Put -1, -3, -4, 12227487 in descending order.
12227487, -1, -3, -4
Sort -1.8, -1/1805, -70 in descending order.
-1/1805, -1.8, -70
Sort -6, -67, 1478, -5 in ascending order.
-67, -6, -5, 1478
Put 0, 3, -2, 5, 78416, -5 in increasing order.
-5, -2, 0, 3, 5, 78416
Sort -3, 1.599, -9, 161 in increasing order.
-9, -3, 1.599, 161
Sort 1/2, -3775/6, 3, 0.4, -0.5 in ascending order.
-3775/6, -0.5, 0.4, 1/2, 3
Sort 15, -9, 1, -318, -12, 2.
-318, -12, -9, 1, 2, 15
Put -4, 168, -80, 0, 598 in descending order.
598, 168, 0, -4, -80
Put 3, -4, 102, -7, -5, 97, 5 in descending order.
102, 97, 5, 3, -4, -5, -7
Put -484, -3, 1, 0, 21, -1, 15 in decreasing order.
21, 15, 1, 0, -1, -3, -484
Put 3, 1, 2, -11849033 in decreasing order.
3, 2, 1, -11849033
Put 11984, 0.4, 0, 2, -15 in increasing order.
-15, 0, 0.4, 2, 11984
Put 65, 4, 910, 1 in descending order.
910, 65, 4, 1
Sort 185, -7, -6, -1/3, 3/2, -2 in decreasing order.
185, 3/2, -1/3, -2, -6, -7
Sort 4, -0.3, -9, -160/1283, 0.05 in increasing order.
-9, -0.3, -160/1283, 0.05, 4
Sort 1, -23.5411, -0.03 in ascending order.
-23.5411, -0.03, 1
Sort -1486621, 1/9, 3, -0.5, 0.3 in decreasing order.
3, 0.3, 1/9, -0.5, -1486621
Sort -3, -127, 3, -12, -21, -4.
-127, -21, -12, -4, -3, 3
Put 12, -56840, -9, 3, 0, 4 in decreasing order.
12, 4, 3, 0, -9, -56840
Sort 9867, 2, -3, 8, -2, 1, 5 in decreasing order.
9867, 8, 5, 2, 1, -2, -3
Sort -168, -85927, 3, 2 in ascending order.
-85927, -168, 2, 3
Put 0.97, 5/13, 2, 24 in descending order.
24, 2, 0.97, 5/13
Sort 2, -7, -2/9, -75/16016, 0, 5 in ascending order.
-7, -2/9, -75/16016, 0, 2, 5
Put 4, 34, 3, -10579 in decreasing order.
34, 4, 3, -10579
Put 686, 1.27, 2/5, 4, 1/3, -0.1 in decreasing order.
686, 4, 1.27, 2/5, 1/3, -0.1
Put 2/3, -7/10, -9, 1, 169, 3 in increasing order.
-9, -7/10, 2/3, 1, 3, 169
Sort -111, -696, 5, -1, -2, 1, -3 in decreasing order.
5, 1, -1, -2, -3, -111, -696
Put -4, -30, 43, 1719 in increasing order.
-30, -4, 43, 1719
Sort -1/203255, 1/5, -2/11, 1/3, -2.
-2, -2/11, -1/203255, 1/5, 1/3
Sort -95, -1, -42825, -3/2 in ascending order.
-42825, -95, -3/2, -1
Put 8256, -2, 4, 2, -58 in descending order.
8256, 4, 2, -2, -58
Put -3, 619, 45, 12 in descending order.
619, 45, 12, -3
Put -2, 3, -5, 53, 17, 0, 1010 in increasing order.
-5, -2, 0, 3, 17, 53, 1010
Sort -4, -7383.2, 48 in decreasing order.
48, -4, -7383.2
Sort -2, 2, 4/9, -6, 318, 1/2, -5 in ascending order.
-6, -5, -2, 4/9, 1/2, 2, 318
Put -206, -1, 342873 in decreasing order.
342873, -1, -206
Put 1/100, 1, 0.7, -1, 2/877 in ascending order.
-1, 2/877, 1/100, 0.7, 1
Sort 13, -1347, -3, -2, -20, -7.
-1347, -20, -7, -3, -2, 13
Sort -2, 1707, 5, 6, -4, 0 in decreasing order.
1707, 6, 5, 0, -2, -4
Put -69/29, -2/7, 3, 1/2, 4/3 in ascending order.
-69/29, -2/7, 1/2, 4/3, 3
Sort 55, -0.4, 546562.8, -3 in decreasing order.
546562.8, 55, -0.4, -3
Sort 121828, -3, 3, -4, -1, 0.
-4, -3, -1, 0, 3, 121828
Sort -146, -31, -5, 5/2, -43.
-146, -43, -31, -5, 5/2
Put -11, 9, -4, -3, -5, 115, 4 in descending order.
115, 9, 4, -3, -4, -5, -11
Put 4, -3, -87111, -5 in increasing order.
-87111, -5, -3, 4
Sort -4, -5, 78, 8, -342.
-342, -5, -4, 8, 78
Sort -3/7, 4, -413/95 in increasing order.
-413/95, -3/7, 4
Put -3/2, -0.3, 0, 15026, -4 in increasing order.
-4, -3/2, -0.3, 0, 15026
Put 1, 0.03, 0.5, 1/5, -4, -121 in decreasing order.
1, 0.5, 1/5, 0.03, -4, -121
Put 10, -4, -14, -14951 in descending order.
10, -4, -14, -14951
Put -10, 19, 76891, 0 in decreasing order.
76891, 19, 0, -10
Sort -2, -22, 1, 70, 35, 0, -3 in descending order.
70, 35, 1, 0, -2, -3, -22
Sort 5, 3, 988, -3, -2, -231, -31 in increasing order.
-231, -31, -3, -2, 3, 5, 988
Put 142, 14, 2, -13 in decreasing order.
142, 14, 2, -13
Put -7, 0, -1, 170, 2, 258, -5 in increasing order.
-7, -5, -1, 0, 2, 170, 258
Put -5, 40, -133, 5, -4, 0 in decreasing order.
40, 5, 0, -4, -5, -133
Sort -36, 118, -16, -254 in descending order.
118, -16, -36, -254
Sort -6, -5, -19, -7, -11, -2 in decreasing order.
-2, -5, -6, -7, -11, -19
Put -14, 2, 528, -4, -3, -570 in increasing order.
-570, -14, -4, -3, 2, 528
Sort -391/4, -0.419, -11 in decreasing order.
-0.419, -11, -391/4
Put 5, -3, 889, -139 in ascending order.
-139, -3, 5, 889
Put -48, 0, 6800 in increasing order.
-48, 0, 6800
Put 29, 118, -0.1, -1/4, -0.19 in increasing order.
-1/4, -0.19, -0.1, 29, 118
Sort -1169, -5, -4, 2, -1131, -1, 5 in ascending order.
-1169, -1131, -5, -4, -1, 2, 5
Put 0.08, -19.127, -44/53 in increasing order.
-19.127, -44/53, 0.08
Put -6, -53, -1, -2, -36, -5, -7 in decreasing order.
-1, -2, -5, -6, -7, -36, -53
Put -4/5, 2, -76805, -1/4, 1/7 in decreasing order.
2, 1/7, -1/4, -4/5, -76805
Sort 0.2, 41/55, 7.27 in increasing order.
0.2, 41/55, 7.27
Put -6/7, 1158, -1.5, 0.3, -5 in descending order.
1158, 0.3, -6/7, -1.5, -5
Sort -19, 344, -1, 2, 0, 1 in decreasing order.
344, 2, 1, 0, -1, -19
Sort -3/55, 2, -290/41 in decreasing order.
2, -3/55, -290/41
Put -1, -2, -4, -100999, 4, 2, -34 in decreasing order.
4, 2, -1, -2, -4, -34, -100999
Put 13, 4, -2874, -3, -4, 1, 3 in decreasing order.
13, 4, 3, 1, -3, -4, -2874
Sort -12534, 5, 9995 in descending order.
9995, 5, -12534
Put -2285591, 0, -4/11 in descending order.
0, -4/11, -2285591
Put -4, -2, 15, 0, 1, 3, 3908 in ascending order.
-4, -2, 0, 1, 3, 15, 3908
Put 56603, 1421, 1 in increasing order.
1, 1421, 56603
Sort -1/8, -2/19, 2/95987, 0 in decreasing order.
2/95987, 0, -2/19, -1/8
Put 0, 3382, -1, 14, -2, 1, 3 in increasing order.
-2, -1, 0, 1, 3, 14, 3382
Sort 600, -970, 2, 0, -3 in decreasing order.
600, 2, 0, -3, -970
Sort -3/5, 4351, -27, -2/141.
-27, -3/5, -2/141, 4351
Sort 128, 1, -9411 in decreasing order.
128, 1, -9411
Sort 0, 5, -464, -4, -1, 1 in decreasing order.
5, 1, 0, -1, -4, -464
Sort 2, -8.8, -9, 1145.
-9, -8.8, 2, 1145
Put 5, 4, -2, 53293491 in ascending order.
-2, 4, 5, 53293491
Sort 1, 1/2, 84, -26287 in ascending order.
-26287, 1/2, 1, 84
Put 3, -5, 2, 84, -6, -165, -4 in decreasing order.
84, 3, 2, -4, -5, -6, -165
Put -4, -25, 25359 in descending order.
25359, -4, -25
Sort 360, -2, -24634 in decreasing order.
360, -2, -24634
Sort -44, -4, -7, 2, 1074 in ascending order.
-44, -7, -4, 2, 1074
Sort -19, -4, 0, -2, -5, -40, 3 in decreasing order.
3, 0, -2, -4, -5, -19, -40
Sort -1/4, -656363, 8/15 in increasing order.
-656363, -1/4, 8/15
Sort 2, 0, -2, 4, 9, -48050.
-48050, -2, 0, 2, 4, 9
Sort -0.09, 91.17, 0.32 in d
|
{
"pile_set_name": "DM Mathematics"
}
|
illilitres?
1250
Convert 9824.993km to nanometers.
9824993000000000
Convert 826742.3um to millimeters.
826.7423
Convert 7445.98 hours to seconds.
26805528
What is thirteen fifths of a hour in minutes?
156
Convert 83555.73 centuries to millennia.
8355.573
What is 92.32427 litres in millilitres?
92324.27
Convert 32640.2ns to microseconds.
32.6402
What is 18/5 of a litre in millilitres?
3600
How many grams are there in 57/2 of a kilogram?
28500
What is thirteen twelths of a decade in months?
130
How many meters are there in eighty-one quarters of a kilometer?
20250
How many millilitres are there in 0.6137563l?
613.7563
What is 367.77483s in days?
0.004256653125
How many millilitres are there in 22712.7 litres?
22712700
What is thirty-two fifths of a century in decades?
64
How many milligrams are there in nineteen quarters of a gram?
4750
What is 3/7 of a week in hours?
72
What is 90838.38 months in years?
7569.865
How many millimeters are there in 5/8 of a meter?
625
What is 74/5 of a micrometer in nanometers?
14800
How many centimeters are there in 3/25 of a kilometer?
12000
How many milliseconds are there in 14253.34s?
14253340
What is 3/10 of a gram in milligrams?
300
What is 38/7 of a week in minutes?
54720
What is 559.748 weeks in nanoseconds?
338535590400000000
What is 7/8 of a litre in millilitres?
875
How many milligrams are there in one quarter of a gram?
250
Convert 1642949.1 minutes to days.
1140.936875
How many millilitres are there in three tenths of a litre?
300
What is 19/4 of a minute in seconds?
285
How many nanometers are there in seventeen quarters of a micrometer?
4250
How many milligrams are there in three fifths of a gram?
600
Convert 68.27815 kilometers to meters.
68278.15
How many milliseconds are there in 783354.8 microseconds?
783.3548
What is 5.691192 kilometers in millimeters?
5691192
What is 92.64271l in millilitres?
92642.71
What is three fifths of a millennium in months?
7200
How many kilograms are there in 59011.03ug?
0.00005901103
Convert 66.4358 centuries to millennia.
6.64358
Convert 756540.4 micrometers to nanometers.
756540400
How many millilitres are there in 0.957436l?
957.436
Convert 8.53382ml to litres.
0.00853382
What is 3894.178 millennia in centuries?
38941.78
What is 790131.6 minutes in seconds?
47407896
What is 17/6 of a year in months?
34
How many millimeters are there in 13/5 of a centimeter?
26
What is five sixths of a millennium in months?
10000
Convert 596020.1ug to nanograms.
596020100
How many nanograms are there in 57/5 of a microgram?
11400
How many grams are there in fourty-nine quarters of a kilogram?
12250
What is 94.58475l in millilitres?
94584.75
How many months are there in twenty-nine sixths of a century?
5800
Convert 2782.548 nanometers to meters.
0.000002782548
How many centimeters are there in 6/25 of a kilometer?
24000
How many grams are there in 15/4 of a kilogram?
3750
How many minutes are there in twenty-five quarters of a hour?
375
How many micrograms are there in one twentieth of a gram?
50000
What is 6/5 of a litre in millilitres?
1200
How many years are there in fifteen quarters of a millennium?
3750
What is 0.5204092 millilitres in litres?
0.0005204092
How many micrograms are there in 12/25 of a milligram?
480
Convert 7857.112m to micrometers.
7857112000
What is 799.4391mm in nanometers?
799439100
How many decades are there in 1/10 of a millennium?
10
How many decades are there in 8.177749 millennia?
817.7749
Convert 858.2912ml to litres.
0.8582912
How many millilitres are there in 57/5 of a litre?
11400
What is three fifths of a kilometer in centimeters?
60000
How many years are there in 12/25 of a century?
48
What is twenty-one eighths of a centimeter in micrometers?
26250
Convert 530.5219ug to nanograms.
530521.9
What is 471.3192ms in minutes?
0.00785532
What is 0.0943873 years in centuries?
0.000943873
How many millilitres are there in 1/4 of a litre?
250
What is seventeen halves of a gram in milligrams?
8500
How many seconds are there in sixteen fifteenths of a day?
92160
Convert 341.6759 litres to millilitres.
341675.9
Convert 1385.327ns to seconds.
0.000001385327
What is 86.88um in meters?
0.00008688
Convert 1170.099 months to millennia.
0.09750825
Convert 3074.383kg to tonnes.
3.074383
What is 474516.4 centuries in millennia?
47451.64
How many millilitres are there in five eighths of a litre?
625
How many decades are there in 7081.292 millennia?
708129.2
How many decades are there in fourty-three halves of a millennium?
2150
Convert 39.29529 millennia to centuries.
392.9529
What is 6/5 of a microgram in nanograms?
1200
What is 240718.14 seconds in hours?
66.86615
How many seconds are there in 7/15 of a minute?
28
How many years are there in 17/2 of a decade?
85
What is 128465.25 seconds in minutes?
2141.0875
How many months are there in 7/2 of a millennium?
42000
How many years are there in 11/2 of a decade?
55
What is 27/5 of a millennium in months?
64800
Convert 53459.92cm to meters.
534.5992
How many millennia are there in 23234.454 months?
1.9362045
What is 19/4 of a litre in millilitres?
4750
Convert 73494.8nm to meters.
0.0000734948
How many kilograms are there in 96525.37 grams?
96.52537
How many millilitres are there in 3925.466 litres?
3925466
What is 97125.12t in micrograms?
97125120000000000
Convert 93493.85mg to micrograms.
93493850
Convert 443.8432 days to hours.
10652.2368
Convert 58.45578 years to months.
701.46936
How many millilitres are there in 0.8212014l?
821.2014
What is 9546.283 nanometers in micrometers?
9.546283
How many nanograms are there in 3/32 of a milligram?
93750
What is one fifth of a litre in millilitres?
200
What is 40541.79 decades in centuries?
4054.179
What is 3/25 of a kilogram in grams?
120
What is twenty-two ninths of a hour in seconds?
8800
How many millimeters are there in three eighths of a meter?
375
What is 782.5521 years in months?
9390.6252
What is 7/6 of a minute in seconds?
70
What is seven halves of a decade in years?
35
How many grams are there in five quarters of a kilogram?
1250
Convert 49.22247 decades to centuries.
4.922247
What is 38813.65 litres in millilitres?
38813650
How many months are there in 11/2 of a decade?
660
How many months are there in eleven tenths of a decade?
132
What is 6/5 of a litre in millilitres?
1200
How many micrometers are there in eighteen fifths of a centimeter?
36000
How many meters are there in 1/10 of a kilometer?
100
How many micrograms are there in 17/2 of a milligram?
8500
Convert 32627.4 minutes to nanoseconds.
1957644000000000
What is 0.0436835 kilograms in milligrams?
43683.5
What is three sevenths of a week in hours?
72
How many minutes are there in 2063300.4 nanoseconds?
0.00003438834
What is 7/8 of a milligram in micrograms?
875
What is 17/2 of a litre in millilitres?
8500
Convert 40.55044g to milligrams.
40550.44
What is twenty-one fifths of a litre in millilitres?
4200
What is 1506.4116 milliseconds in minutes?
0.02510686
What is 8.0966 tonnes in kilograms?
8096.6
Convert 0.2844841 nanoseconds to microseconds.
0.0002844841
What is 1/5 of a litre in millilitres?
200
How many millimeters are there in 0.4272164 meters?
427.2164
What is 2/7 of a week in hours?
48
What is 26/5 of a minute in seconds?
312
How many milliseconds are there in 1/4 of a second?
250
Convert 601170.3 millennia to months.
7214043600
How many litres are there in 0.5206909ml?
0.0005206909
What is twenty-nine halves of a micrometer in nanometers?
14500
How many millimeters are there in 859601.8 meters?
859601800
What is seven sixteenths of a week in minutes?
4410
What is twenty-six fifths of a meter in centimeters?
520
What is 734037.6m in nanometers?
734037600000000
What is fifty-four fifths of a decade in months?
1296
Convert 6882.61 centuries to months.
8259132
How many milligrams are there in twenty-seven fifths of a gram?
5400
How many kilometers are there in 42337.39 meters?
42.33739
How many months are there in thirteen fifths of a millennium?
31200
How many millilitres are there in one quarter of a litre?
250
What is 22.1337 milliseconds in hours?
0.00000614825
Convert 0.0507502ug to kilograms.
0.0000000000507502
How many hours are there in one quarter of a week?
42
Convert 870520.7mg to mic
|
{
"pile_set_name": "DM Mathematics"
}
|
+ z) - 537*z - 525*z + 2 + 886*z as j*z + l and give j.
-175
Rearrange -791 - 5*s + 4*s - 1166 - 119 - 42 to the form n + g*s and give n.
-2118
Rearrange (1108*g + 1388*g - 543*g)*(0 - g + 0*g + 1)*(0 - 6*g + 0) to l*g**3 + y*g**2 + u*g + q and give y.
-11718
Express (-5*t**3 - 89*t**3 - 275*t**2 + 91*t**3)*(3 - 3 + 4*t) as p*t**4 + u*t + q*t**3 + d*t**2 + x and give p.
-12
Rearrange (-4*k**2 + 6*k**2 + 0*k**2)*(-2*k**2 + 1 - 1) + 296558 + k**4 - 296558 + 9*k**2 + 7*k**3 to the form v*k**4 + n + z*k + l*k**3 + x*k**2 and give z.
0
Rearrange -70*b**2 - 32*b**2 + 123*b**2 - b to the form j*b**2 + v + l*b and give j.
21
Rearrange -6*v + 3*v + 342 - 170 + 356 + 153 to the form x*v + t and give t.
681
Rearrange (3*v - 4*v - 4*v)*(2 + 3 - 3) - 2*v + 20*v + 6*v + 0*v - 5*v + v to m + w*v and give w.
10
Rearrange (-63*w + 69 - 309*w - 69 - 280*w)*(-82*w**2 - 2*w**2 - 31*w**2) to r*w**2 + d*w + b + h*w**3 and give h.
74980
Express -7 - 12 + 126*z + 38*z + 19 as x*z + s and give x.
164
Rearrange 2652*y + 2 - 86*y**3 + 84*y**3 + 4*y**2 + y**2 - 2657*y to the form l*y**3 + r*y + s + b*y**2 and give r.
-5
Rearrange 3*g**3 + 6*g**4 - 2*g - 111*g**4 + 56*g**4 + 4*g**2 - 135*g**4 - 3*g**2 to d*g**2 + x + s*g**3 + l*g**4 + i*g and give s.
3
Rearrange 2*b**3 + 67 + 229*b - 68 - b**3 + 3*b**2 to t*b**2 + w*b + i*b**3 + j and give i.
1
Express (-3 + 3 - 4*v)*(476*v + 162*v + 285*v) - 6*v**2 + 2*v**2 + 2*v**2 + (-3*v + 6*v - 5*v)*(v + 1 - 1) in the form g*v**2 + x*v + k and give x.
0
Rearrange -362 - 64 - 775 - 20*s - 599 + 15*s to g + t*s and give g.
-1800
Rearrange (2 + 7 - 3)*(8 + 6 - 4)*(-2*j - j + 2*j + (-2 - 2*j + 2)*(4 - 6 + 0))*(3 + 0 + 2) to the form q + h*j and give h.
900
Rearrange -5 + 305*v**3 + 114*v**2 + 2*v**4 - 58*v**2 - 57*v**2 - 385*v + 384*v to the form b*v**2 + r*v**3 + s + f*v + c*v**4 and give b.
-1
Rearrange -67*y**4 + 109*y + 131*y**4 + y**2 - 65*y**4 to the form m*y**3 + k*y**2 + z*y + s + p*y**4 and give z.
109
Rearrange n + 4*n - n - 9047*n**2 - 1 + 7764*n**2 - 2*n to the form j*n**2 + p*n + a and give j.
-1283
Rearrange -4*k**3 - 5*k + 16*k - 1 - 4*k - 5*k to o*k**2 + q + l*k**3 + n*k and give l.
-4
Rearrange -2*o**2 + 308 - 305 + 10*o - 13*o + 8*o**4 to n*o**3 + l*o + d*o**2 + r + t*o**4 and give l.
-3
Express -1189*m**2 - 1282*m**2 - 670*m**2 in the form a + f*m + r*m**2 and give r.
-3141
Express (a + 0*a + a)*(-4 + 3*a + 4) + (1536*a**2 - 3155*a**2 + 1489*a**2)*(1 - 1 + 2) as m*a + n + v*a**2 and give v.
-254
Express -2*v**2 + 4*v - 12*v**2 + 3*v - 11*v + 12*v**2 - 8 as i*v + z + n*v**2 and give i.
-4
Express (6*h - 18*h - 1 - 55*h**2 + 14*h)*(16089 + 106*h - 16089)*(-h - h + h) in the form j*h**4 + q*h**2 + w*h + g + z*h**3 and give z.
-212
Express 3*j + 2*j - 74*j**2 - 8*j**3 + 31*j**2 + 9*j + 40*j**2 in the form m*j**2 + q + l*j**3 + o*j and give m.
-3
Express -979 + 536 + 447 - 5*f + 3*f**2 - 6*f**3 as l + v*f**3 + p*f**2 + s*f and give s.
-5
Rearrange (-4*i + 4*i + 2*i)*(5*i - 5*i - i**2 + (32*i + 25*i + 38*i)*(-23 + 23 + 16*i)) to the form t*i**2 + r*i**3 + o + g*i and give r.
3038
Express 50*h**2 - 683*h + 220*h + 238*h + 233*h in the form z*h + x*h**2 + o and give x.
50
Express 1075*t + 66509 - 66509 - 5 - 3*t + 5 + (-2 - t + 2)*(2 + 4 - 4) as j*t + u and give j.
1070
Express (z - 2 + 2)*(4*z - 6*z - z)*(3477 - 5115 - 7639)*(-5 + 3 + 3) as s*z + d + r*z**2 and give r.
27831
Express -44*f - 7 - 441*f**3 + 46*f + 114*f**3 in the form w + p*f**2 + a*f + q*f**3 and give a.
2
Rearrange (1330 - 736 - 736)*(0*l + 4*l - 2*l) to v + s*l and give s.
-284
Rearrange -q - 595*q**3 - 3*q - 80*q**2 + 294*q**3 + 300*q**3 to the form b*q + i + y*q**3 + h*q**2 and give h.
-80
Express -395*j + 198*j - 2 + 213*j + 200*j - 3 in the form w*j + x and give x.
-5
Rearrange (-681*y - 504*y + 1483*y)*(2 + 0 + 0)*(1 - 3 + 1)*(-1 + 3 + 0) to r*y + c and give r.
-1192
Express -698*r - 2277 + 2273 - 136*r as u + q*r and give q.
-834
Express -1001 - 3400 - 17*o + o + 17*o in the form i + m*o and give i.
-4401
Rearrange -923 - y**3 - 2*y - 288 + 111 to h + x*y**2 + i*y + q*y**3 and give q.
-1
Express 76*p**3 - 9 + 10558*p - 10558*p as c*p + b*p**3 + w + j*p**2 and give w.
-9
Rearrange -z**2 + 21*z**3 - 2*z + 2*z**3 + 7*z**3 - 7 + 2*z**4 + 0*z - 14*z**3 to o*z**4 + h*z**3 + t + y*z**2 + q*z and give t.
-7
Rearrange -25 - k**3 + 0*k - 66*k + 66*k - 2*k**2 to u + t*k**2 + y*k**3 + d*k and give u.
-25
Rearrange 37452*n - 2*n**2 - 184 + 0*n**2 - 37461*n to g*n**2 + q + a*n and give q.
-184
Rearrange 64528*s**2 - 63893*s**2 + 5*s - 3*s to a*s + q + f*s**2 and give f.
635
Rearrange -10713*z + 10722*z + 5*z**3 - 4*z**3 - 2*z**2 to the form l*z**3 + f + h*z**2 + b*z and give h.
-2
Rearrange (-v**2 - 2*v**2 + 6*v**2 + (2*v - 2*v - 2*v)*(0*v + 4*v - 3*v))*(4529 - 10533 - 12222 - 4452 + 2526) to p*v + g + t*v**2 and give t.
-20152
Express -4*p**3 + 8*p - 29*p + 5*p + 18*p + 3*p**2 - 24 - p**4 as f*p + m*p**2 + b*p**4 + z*p**3 + t and give m.
3
Express (0*z**2 - 2*z**2 + 4*z**2)*(4 - 4 - 4*z**2) + (-z**3 + 3*z**3 + 0*z**3)*(-569*z - 994*z - 703*z) as l*z**3 + j*z**2 + k*z**4 + w + f*z and give k.
-4540
Express -9*n**3 + 395*n - 95*n + 7*n**3 - 146*n + n**2 as x + y*n**3 + v*n**2 + l*n and give l.
154
Express (-2*z + 0 + 0)*(-205*z + 45 + 446*z - 222*z) in the form y*z**2 + b*z + d and give b.
-90
Rearrange -2299429*n**3 - 4*n**4 - 3*n**2 + 6*n**4 - 1 + 2299426*n**3 to b*n**3 + v*n + d + f*n**4 + p*n**2 and give p.
-3
Rearrange 98 + 99 - 290 - n + 834*n**2 + 2*n**3 + 93 to the form h*n + q*n**2 + i*n**3 + k and give q.
834
Express 0*n**4 - 90*n**2 + 1 - 2*n**4 + 92*n**2 - 24*n + 2*n + 11*n**3 + 3*n**3 as g*n + u + j*n**4 + d*n**2 + y*n**3 and give u.
1
Express -253 - 157*d**2 + 0*d**2 + 133 + 127 + 19*d**2 in the form a*d**2 + l*d + b and give b.
7
Rearrange 14862 - 14859 - 3*u + 2*u**4 - u**3 - 3*u**4 + 126*u**2 to p + v*u**3 + m*u**4 + a*u + w*u**2 and give m.
-1
Rearrange -122 - 5*z - 80 - 277 - 76 + 3*z to f + u*z and give u.
-2
Rearrange 97 + 42*u**3 + 727521*u - 727521*u to the form d*u**3 + h*u**2 + o + z*u and give d.
42
Rearrange 13*x + 21 + 2*x**2 - 10609*x**3 - 2*x**2 + 10613*x**3 to y*x**3 + w*x**2 + h + v*x and give w.
0
Express (i - 2*i - i)*(-371 + 36 - 591 - 171) as n + q*i and give q.
2194
Rearrange 0*t - t + 2*t + (5 + 1 - 4)*(3*t - 2*t + t) - 1444*t - 1 + 809*t - 5 to the form m*t + b and give m.
-630
Rearrange -87*v + 214*v - 127*v - 2682*v**2 to the form i*v**2 + t + d*v and give i.
-2682
Rearrange (-253*t + 150*t - 157*t)*(-16*t - 64*t + 8*t) to the form d*t + m*t**2 + j and give m.
18720
Express 11427*d - 3114*d + 14025*d in the form g*d + v and give g.
22338
Rearrange -5*a - 143*a**3 - 129*a**3 - 2*a**2 + 3*a + 56 + 271*a**3 to n*a + f*a**2 + y + s*a**3 and give y.
56
Rearrange -5358 - 5262 + 10620 - 14619*v**2 to the form x*v**2 + s*v + h and give x.
-14619
Rearrange 4*g - g**2 + 238 + 14 + 3*g - 7*g to the form u*g + w + n*g**2 and give w.
252
Rearrange 1 - 332*j**2 - 3*j - 337*j**2 + 671*j**2 + 6*j**3 - 3 to the form l*j**2 + f*j**3 + b*j + m and give m.
-2
Express (36 + 20 - 23)*(1 + 3 + 2)*(-13*q - 8*q + 2*q) as d*q + l and give d.
-3762
Rearrange 36 + 96922*z - 193861*z + 96917*z to n*z + i and give i.
36
Rearrange (-3*h**3 - 7*h**4 + 3*h**3)*(928 - 1771 + 1304) to the form p*h**2 + r*h**4 + u + c*h + t*h**3 and give r.
-3227
Rearrange 7939*d - 12396*d - 8667*d to the form b*d + n and give b.
-13124
Express (60*r + 444*r + 212*r - 2)*(-3*r + 3*r + 3*r) as l*r + k + a*r**2 and give a.
2148
Express 4*o**3 - 2*o**3 - 907 + 0*o**3 + 56131*o - 56131*o as f*o**2 + h*o + s + w*o**3 and give w.
2
Express -2 + 231*b + 1361*b + 538*b + 2 as a + w*b and give w.
2130
Rearrange (-9 - 7*r + 9)*(3*r + 6 - 6)*(-17 + 17 - 13*r)*(-4 + 5 + 4) to g*r**2 + u + m*r**3 + s*r and give m.
1365
Express 62*z + 67*z - 57*z**2 - 125*z as t*z**2 + u + l*z and give l.
4
Rearrange (-66 + 108 - 2*a - 62)*(-1 + 5 - 3)*(-213 - 238 + 508) to the form x + f*a and give x.
-1140
Rearrange (a - 7*a + 2*a)*(2 - 1 - 2)*(116 - 590 + 210) to g + i*a and give i.
-1056
Express (1 - 6 + 3)*(0*z + 4*z - z) + 892*z - 54*z + 431*z as i + w*z and give w.
1263
Rearrange (-6 - 14 + 12)*(-2*i**2 + 4*i**2 + 5*i**2) + (-257*i + 257*i + 30*i**2)*(-1 + 1 + 1) to the form p*i**2 + k*i + d and g
|
{
"pile_set_name": "DM Mathematics"
}
|
at is 2147b2 (base 12) in base 15?
a5ebe
431052 (base 10) to base 13
12127b
What is -189a (base 13) in base 9?
-5034
-526a9 (base 12) to base 14
-2b597
-6644411 (base 7) to base 2
-11000111101011111100
Convert 1101011100111000001 (base 2) to base 8.
1534701
What is -5986710 (base 10) in base 7?
-101612652
Convert -221132201 (base 4) to base 16.
-297a1
What is -1b80d0 (base 15) in base 14?
-26d845
-30332132 (base 4) to base 3
-2200220112
41c0e (base 15) to base 12
a0865
10111010011111011011 (base 2) to base 13
2098c0
-8827220 (base 9) to base 4
-102011302311
166111 (base 10) to base 16
288df
What is 3a358 (base 12) in base 8?
234164
-5441464 (base 9) to base 7
-33553216
629372 (base 11) to base 7
11365542
-228385 (base 9) to base 14
-380c4
What is 827d2 (base 14) in base 13?
b0126
What is 603453 (base 10) in base 12?
251279
What is -500474 (base 8) in base 7?
-1252406
-2713347 (base 8) to base 5
-143301102
-200134333 (base 5) to base 11
-498192
Convert 1211110211 (base 3) to base 15.
aa47
What is -202102111002011 (base 3) in base 8?
-51320724
What is 1627348 (base 9) in base 16?
dcc37
What is -410300110 (base 5) in base 14?
-30d474
-32232150 (base 6) to base 4
-3220223202
Convert 11000111100111001 (base 2) to base 11.
6a870
What is 17274406 (base 8) in base 15?
548a38
Convert 3184366 (base 12) to base 2.
100011110010000011111110
Convert -11022212111012 (base 3) to base 10.
-2300351
2a9c07 (base 16) to base 3
12020212112021
-2b341c (base 16) to base 7
-33031530
What is -bb7 (base 13) in base 8?
-3731
What is -9a315 (base 14) in base 9?
-628663
a162305 (base 11) to base 8
104424661
Convert -309b05 (base 14) to base 13.
-455812
1013004 (base 5) to base 3
211210220
53781 (base 11) to base 3
10222011212
73a914 (base 11) to base 12
4921ba
Convert 639cce (base 15) to base 4.
102011210102
-22022222200210 (base 3) to base 14
-833c21
Convert 670367 (base 10) to base 11.
418725
Convert 231505032 (base 6) to base 11.
246798a
Convert a7a496 (base 11) to base 9.
3221763
Convert 222d1 (base 14) to base 10.
82895
-100100112010 (base 3) to base 7
-1364463
Convert 5cd3 (base 16) to base 10.
23763
Convert 473301 (base 10) to base 14.
c46b3
6238a24 (base 11) to base 9
22636125
Convert -b045 (base 13) to base 8.
-57240
What is 132211055 (base 6) in base 4?
22002003023
What is -1101110111100110 (base 2) in base 5?
-3304211
What is 142143 (base 6) in base 11?
a122
Convert -3601100 (base 7) to base 5.
-104013211
Convert -a70879 (base 15) to base 14.
-10ad35d
402565 (base 7) to base 2
10000101001101110
What is -30231301313 (base 4) in base 9?
-6240308
a35617 (base 11) to base 14
3138a4
Convert -3265534 (base 9) to base 5.
-422141433
Convert 1930306 (base 12) to base 4.
110023002312
-66610 (base 12) to base 8
-410754
Convert -1001212102 (base 3) to base 13.
-976a
What is 11120321012 (base 4) in base 15?
1cd888
-d607a (base 15) to base 3
-1021110201021
Convert 111200202 (base 3) to base 7.
41051
e1480 (base 16) to base 7
10562145
d040 (base 15) to base 9
66236
What is 3287276 (base 10) in base 3?
20012000021222
Convert 10000100010001111111 (base 2) to base 15.
aa818
Convert 41ca53 (base 16) to base 14.
80341d
Convert 422266 (base 7) to base 16.
11c9e
What is -1d425 (base 15) in base 5?
-11023220
Convert 1000111111001011001000 (base 2) to base 14.
4547d6
b5212 (base 12) to base 9
401135
What is 501088 (base 11) in base 5?
201303212
Convert 4103126 (base 8) to base 15.
165d2b
What is 3051624 (base 7) in base 9?
616460
-455604 (base 7) to base 9
-133403
Convert -3f7634 (base 16) to base 4.
-33313120310
What is -36556641 (base 8) in base 9?
-16132400
What is -1381665 (base 9) in base 12?
-309212
What is 92028 (base 10) in base 14?
25776
What is -14458c (base 15) in base 3?
-1211121200120
-362702 (base 10) to base 6
-11435102
What is -11111100001001101 (base 2) in base 13?
-469bb
-46613454 (base 7) to base 2
-1111101010000101111101
What is -12a4891 (base 11) in base 15?
-2e5945
What is -d22d (base 14) in base 10?
-36105
What is -39b00 (base 12) in base 6?
-1411200
308563 (base 11) to base 6
14333123
What is 2465125 (base 8) in base 3?
1021200022210
What is 2002101222120 (base 3) in base 6?
35444023
3356323 (base 8) to base 6
31250003
7440212 (base 9) to base 7
45565241
What is -21314343 (base 6) in base 4?
-2122111113
232489 (base 13) to base 16
cb7ac
-1004033111 (base 5) to base 12
-81392a
503170a (base 11) to base 14
127ac20
-100010000010101000 (base 2) to base 3
-21002021011
Convert 4240432420 (base 5) to base 15.
bb33c5
-4232211 (base 5) to base 12
-3506b
Convert 28c69 (base 14) to base 16.
18b6d
-c863a (base 14) to base 12
-1b4238
Convert -157612 (base 9) to base 16.
-17cae
What is b8bba (base 12) in base 8?
733676
What is -7077a (base 15) in base 11?
-223576
-245412513 (base 6) to base 13
-ca1b74
Convert -14500511 (base 6) to base 16.
-7b71b
-311541153 (base 6) to base 13
-1175478
What is 2041032440 (base 5) in base 9?
7866485
What is 1022123321 (base 4) in base 12?
128535
-312111320 (base 4) to base 12
-a8988
11a94 (base 13) to base 10
32569
Convert -3744520 (base 8) to base 11.
-647324
-321c45 (base 14) to base 16
-19dee5
What is -201222020220120 (base 3) in base 11?
-5a9a64a
245a00 (base 11) to base 12
168a17
-321334003 (base 5) to base 2
-101001010111011101111
Convert 2a531 (base 11) to base 13.
168a6
What is -334210 (base 8) in base 14?
-2d156
Convert 202012320 (base 4) to base 3.
21002122020
43412210 (base 5) to base 3
200221101121
7b0628 (base 12) to base 8
7411200
24052440 (base 7) to base 5
1021134342
Convert -1251105 (base 10) to base 7.
-13430352
-3814232 (base 9) to base 12
-84173b
312240324 (base 5) to base 7
13652123
What is -456294 (base 16) in base 14?
-865216
What is 14430605 (base 7) in base 4?
11032030211
What is 2013012100 (base 4) in base 6?
15505504
What is 6a39463 (base 11) in base 12?
414bb23
-111301010 (base 4) to base 8
-256104
What is -1415011 (base 10) in base 9?
-2586024
-5052032 (base 6) to base 11
-154525
What is -4d638 (base 14) in base 10?
-190562
-146107 (base 9) to base 15
-1b8da
-84f14 (base 16) to base 6
-15400552
What is 202501453 (base 6) in base 14?
66c757
Convert 22201010021112 (base 3) to base 14.
88679d
What is -80863 (base 11) in base 3?
-20000002111
What is -538298 (base 13) in base 6?
-110002535
Convert 1357164 (base 8) to base 2.
1011101111001110100
Convert 271660 (base 10) to base 3.
111210122111
Convert -654 (base 7) to base 2.
-101001101
-1f8bf (base 16) to base 11
-89099
2d6f7 (base 16) to base 3
100110021201
What is -2b1bb6 (base 13) in base 4?
-10003001202
What is 5a10a36 (base 11) in base 5?
10140443310
What is -7ad3d (base 16) in base 11?
-313a95
-20222020001 (base 3) to base 13
-4a5c0
12123311 (base 5) to base 7
653651
Convert -3b879 (base 13) to base 5.
-12030202
What is 110110111111011001110 (base 2) in base 6?
102342142
What is -133311100012 (base 4) in base 11?
-478a454
Convert b80744 (base 13) to base 10.
4313950
What is 22122121101 (base 3) in base 16?
2993b
What is -101020311031 (base 4) in base 5?
-2122230441
Convert -362df6 (base 16) to base 8.
-15426766
223491 (base 11) to base 16
56e79
138999 (base 13) to base 5
110214244
49152c (base 15) to base 13
956034
-9148460 (base 10) to base 9
-18183285
Convert -2798640 (base 10) to base 9.
-5235010
338c19 (base 13) to base 7
13235325
22436241 (base 8) to base 9
10134701
1132030031 (base 4) to base 16
5e30d
Convert -6373c3 (base 14) to base 4.
-30310311233
What is -1110111100110001101 (base 2) in base 5?
-111133434
41a1b (base 13) to base 5
12240110
What is -144446 (base 7) in base 13?
-c99b
-381cc (base 16) to base 7
-1645035
-45a4a4 (base 15) to base 8
-14536765
Convert -100100010100111011011 (base 2) to base 9.
-2213775
a4a87 (base 13) to base 6
10203143
-4122001 (base 5) to base 3
-10102002011
122220122112112 (base 3) to base 9
18818475
What is -a3c5 (base 15) in base 3?
-1202110212
-2331a4 (base 12) to base 14
-10a044
What is 27a50 (base 16) in base 9?
266666
Convert -ade20 (base 15) to base 8.
-2070531
What is 1a6aa (base 14) in base 10?
67182
What is -121120020022011 (base 3) in base 16?
-86524f
What is -21545 (base 11) in base 5?
-2000032
-2925 (base 11) to base 7
-14005
-20506 (base 13) to base 9
-87464
Convert -2577830 (base 12) to base 9.
-1478000
|
{
"pile_set_name": "DM Mathematics"
}
|
990078.1 kilograms?
990.0781
How many nanograms are there in 0.2897664g?
289766400
Convert 0.1953597g to tonnes.
0.0000001953597
How many nanometers are there in 733595.2 millimeters?
733595200000
How many millilitres are there in 8.114394 litres?
8114.394
How many nanograms are there in 5/4 of a microgram?
1250
How many hours are there in 39.48867 weeks?
6634.09656
What is 856321.1ug in tonnes?
0.0000008563211
What is 16/9 of a hour in seconds?
6400
How many grams are there in 21/4 of a kilogram?
5250
Convert 5.500434 centuries to months.
6600.5208
What is 333.364 minutes in nanoseconds?
20001840000000
Convert 36072.78 micrometers to meters.
0.03607278
What is 79.2754 decades in months?
9513.048
What is 1/6 of a minute in seconds?
10
Convert 583.74027ms to hours.
0.000162150075
Convert 539.9828 hours to nanoseconds.
1943938080000000
How many microseconds are there in 73908.82 days?
6385722048000000
What is one sixteenth of a meter in micrometers?
62500
Convert 425174.2 tonnes to milligrams.
425174200000000
What is 1/10 of a millimeter in nanometers?
100000
What is 21/2 of a litre in millilitres?
10500
How many grams are there in seven quarters of a kilogram?
1750
What is seventy-six fifths of a decade in years?
152
How many micrograms are there in 3/32 of a gram?
93750
How many milligrams are there in fourty-three quarters of a gram?
10750
What is 719.5528 tonnes in nanograms?
719552800000000000
What is 58442.47 years in millennia?
58.44247
How many tonnes are there in 0.6610335mg?
0.0000000006610335
What is thirteen quarters of a litre in millilitres?
3250
How many milligrams are there in 15883.81 kilograms?
15883810000
What is twenty-five quarters of a kilometer in meters?
6250
What is 309.313us in seconds?
0.000309313
Convert 0.1871675 millilitres to litres.
0.0001871675
How many centimeters are there in 61552.99m?
6155299
Convert 91.53687 nanometers to kilometers.
0.00000000009153687
Convert 0.97668 years to decades.
0.097668
How many micrograms are there in 3/50 of a milligram?
60
How many milliseconds are there in fourty-five eighths of a second?
5625
How many millimeters are there in fourty-three halves of a meter?
21500
What is 9586.479 millennia in years?
9586479
What is 277430.85 microseconds in hours?
0.000077064125
Convert 65.71865 centuries to millennia.
6.571865
What is twenty-five halves of a microgram in nanograms?
12500
What is 11/8 of a week in hours?
231
Convert 9250.298km to meters.
9250298
What is 15/4 of a tonne in kilograms?
3750
What is one tenth of a micrometer in nanometers?
100
How many nanograms are there in six fifths of a microgram?
1200
How many millilitres are there in eleven quarters of a litre?
2750
Convert 402.6523m to nanometers.
402652300000
Convert 6.736672ml to litres.
0.006736672
How many decades are there in thirty-seven halves of a millennium?
1850
What is nine tenths of a decade in years?
9
How many tonnes are there in 467645.7kg?
467.6457
Convert 150868.1um to centimeters.
15.08681
Convert 515.9704 litres to millilitres.
515970.4
How many tonnes are there in 926380.7ug?
0.0000009263807
How many kilograms are there in seventy-five quarters of a tonne?
18750
Convert 99158.48 milligrams to micrograms.
99158480
How many grams are there in 7/4 of a kilogram?
1750
What is 25/8 of a decade in months?
375
Convert 4.732037ml to litres.
0.004732037
What is 48/5 of a minute in seconds?
576
What is 51/4 of a day in hours?
306
What is 2.357579ml in litres?
0.002357579
How many millennia are there in 5238.267 centuries?
523.8267
How many years are there in 3/10 of a decade?
3
Convert 272.613 nanograms to grams.
0.000000272613
How many millilitres are there in 1/10 of a litre?
100
What is 35553.36 centuries in millennia?
3555.336
How many grams are there in 0.2551538 kilograms?
255.1538
What is 17/10 of a litre in millilitres?
1700
How many nanometers are there in 27/5 of a micrometer?
5400
How many milligrams are there in 1121.769 grams?
1121769
How many litres are there in 292031.6ml?
292.0316
How many seconds are there in seventy-two fifths of a hour?
51840
Convert 5.257356nm to centimeters.
0.0000005257356
What is 9.1619s in nanoseconds?
9161900000
How many litres are there in 516.265 millilitres?
0.516265
How many milliseconds are there in 0.534882 hours?
1925575.2
Convert 869804.3cm to millimeters.
8698043
What is 0.4843713mg in kilograms?
0.0000004843713
What is 5/4 of a litre in millilitres?
1250
How many days are there in 3924790.2s?
45.4258125
What is 5085.874 millennia in decades?
508587.4
What is 3/32 of a tonne in grams?
93750
How many centimeters are there in 62078.16 millimeters?
6207.816
What is 8.381845mm in meters?
0.008381845
What is twenty-one fifths of a litre in millilitres?
4200
What is five sixths of a century in months?
1000
How many milligrams are there in 0.5385054ug?
0.0005385054
How many milliseconds are there in 478762.6 weeks?
289555620480000
What is 0.7809743 seconds in nanoseconds?
780974300
Convert 415291.9 micrometers to centimeters.
41.52919
How many minutes are there in 1/6 of a hour?
10
Convert 89.48748ug to tonnes.
0.00000000008948748
What is 30945.07 hours in minutes?
1856704.2
What is 77/5 of a decade in months?
1848
How many months are there in five quarters of a year?
15
How many litres are there in 50892.88ml?
50.89288
How many centimeters are there in one fifth of a kilometer?
20000
What is 3.777799 years in centuries?
0.03777799
How many milligrams are there in 0.8976215 kilograms?
897621.5
What is eleven halves of a millennium in centuries?
55
How many days are there in 4/7 of a week?
4
How many decades are there in 53/4 of a millennium?
1325
What is 1/4 of a litre in millilitres?
250
How many minutes are there in 0.2076143 days?
298.964592
Convert 2715.949km to meters.
2715949
How many tonnes are there in 32107.37 kilograms?
32.10737
What is three tenths of a milligram in micrograms?
300
What is three eighths of a litre in millilitres?
375
What is one quarter of a microgram in nanograms?
250
How many millimeters are there in 1/5 of a centimeter?
2
How many months are there in seven thirds of a millennium?
28000
How many months are there in 9/10 of a century?
1080
Convert 56.30995ml to litres.
0.05630995
Convert 30.57113 litres to millilitres.
30571.13
Convert 7.902623 seconds to nanoseconds.
7902623000
Convert 5096.931 centimeters to meters.
50.96931
What is 0.010213kg in tonnes?
0.000010213
What is 12638.991 months in millennia?
1.05324925
What is 8833.4cm in kilometers?
0.088334
What is 43.07501 millilitres in litres?
0.04307501
Convert 2879.457 hours to seconds.
10366045.2
What is seventy-five halves of a microgram in nanograms?
37500
How many months are there in 4/75 of a century?
64
How many months are there in seven quarters of a year?
21
How many years are there in 1.0515312 months?
0.0876276
What is 2.021125l in millilitres?
2021.125
Convert 7.224997cm to millimeters.
72.24997
How many minutes are there in 1/24 of a day?
60
What is 3.436076l in millilitres?
3436.076
What is 5815.795 weeks in microseconds?
3517392816000000
How many millilitres are there in 22.73421l?
22734.21
What is 3/10 of a decade in months?
36
What is twenty-three eighths of a microgram in nanograms?
2875
What is 25/4 of a meter in millimeters?
6250
Convert 6.080344 microseconds to nanoseconds.
6080.344
What is 7/4 of a centimeter in micrometers?
17500
What is 9.654495 centuries in years?
965.4495
How many litres are there in 24.6634ml?
0.0246634
Convert 8603.86 decades to months.
1032463.2
How many centimeters are there in 0.6432645 kilometers?
64326.45
What is 7/2 of a day in hours?
84
Convert 45501.95l to millilitres.
45501950
What is 29/2 of a millimeter in micrometers?
14500
What is seven thirds of a minute in seconds?
140
How many litres are there in 70186.26ml?
70.18626
Convert 563.4901 years to centuries.
5.634901
What is 492671.7 grams in nanograms?
492671700000000
How many micrograms are there in 15/4 of a milligram?
3750
What is 25800.85ml in litres?
25.80085
Convert 33.58937 litres to millilitres.
33589.37
What is 5/4 of a millisecond in microseconds?
1250
What is 85401.77ml in litres?
85.40177
What is 1/10 of a tonne in grams?
100000
How many decades are there in 670.736
|
{
"pile_set_name": "DM Mathematics"
}
|
de 932151071?
False
Is 21 a factor of 1680166383?
True
Is 583 a factor of 788216?
True
Is 21 a factor of 87464835?
False
Is 18649668 a multiple of 3?
True
Is 4640 a factor of 275038998?
False
Does 11 divide 353761429?
False
Is 18 a factor of 385858206?
True
Does 147 divide 3895457370?
True
Does 18 divide 163561896?
True
Does 20 divide 30571100?
True
Is 450840480 a multiple of 460?
True
Is 3420909847 a multiple of 286?
False
Does 2270 divide 152058220?
True
Is 510 a factor of 195356418?
False
Is 3269820 a multiple of 3?
True
Does 1443 divide 61320906?
False
Is 31789289 a multiple of 161?
True
Is 5013348956 a multiple of 274?
True
Is 750 a factor of 2403713250?
True
Is 29 a factor of 47412448?
True
Is 22 a factor of 214340781?
False
Does 176 divide 491165136?
True
Is 370 a factor of 3086938490?
True
Is 611 a factor of 346738529?
False
Is 582306243 a multiple of 57?
True
Is 94 a factor of 10098376?
False
Is 2483 a factor of 308055878?
True
Does 292 divide 57292944?
False
Is 207 a factor of 41177282?
False
Is 29800964 a multiple of 652?
True
Does 131 divide 205329777?
False
Is 11400 a factor of 2460816501?
False
Is 28107764 a multiple of 2698?
True
Is 245 a factor of 221599743?
False
Is 3 a factor of 132625774?
False
Is 1188 a factor of 1210298738?
False
Does 2679 divide 144813345?
True
Is 36 a factor of 186653130?
False
Is 185978484 a multiple of 2862?
True
Is 12 a factor of 897057566?
False
Is 153186453 a multiple of 177?
False
Is 2441 a factor of 15509851?
False
Is 113 a factor of 46194604?
False
Is 55718635 a multiple of 3065?
True
Does 80 divide 55507040?
True
Does 24 divide 242942760?
True
Does 316 divide 785781304?
False
Is 36163503 a multiple of 27?
True
Is 667 a factor of 83502396?
False
Is 131264838 a multiple of 513?
False
Does 28 divide 102728612?
True
Is 35401094 a multiple of 302?
False
Is 14514780 a multiple of 49?
True
Does 18 divide 8172970470?
True
Is 144 a factor of 683645753?
False
Is 26 a factor of 336323988?
True
Is 1534 a factor of 40025703?
False
Is 781 a factor of 1255396582?
True
Does 6 divide 2175559?
False
Does 463 divide 665115262?
False
Is 101 a factor of 512467940?
True
Is 71894155 a multiple of 51?
False
Is 27074348 a multiple of 29?
False
Is 2165328 a multiple of 198?
True
Is 403 a factor of 130416442?
True
Is 125016960 a multiple of 690?
True
Does 2260 divide 16487168?
False
Is 243519367 a multiple of 28?
False
Is 4656133 a multiple of 19?
False
Does 1747 divide 288678361?
False
Is 42133399 a multiple of 338?
False
Is 58 a factor of 285451640?
True
Is 11885 a factor of 3596112551?
False
Is 3618 a factor of 3788585082?
True
Is 1934 a factor of 3450256?
True
Is 112 a factor of 902435184?
True
Is 2695148323 a multiple of 4751?
False
Does 1423 divide 5027459?
True
Does 328 divide 612549076?
False
Is 24189150 a multiple of 10?
True
Is 18702271 a multiple of 49?
True
Does 244 divide 1319134702?
False
Is 203152488 a multiple of 168?
True
Is 136 a factor of 149326896?
False
Is 6718592 a multiple of 64?
True
Is 140 a factor of 24066840?
True
Is 14402131 a multiple of 270?
False
Does 248 divide 674554296?
True
Does 329 divide 16435759?
False
Does 5269 divide 3459120?
False
Is 185774323 a multiple of 66?
False
Is 4 a factor of 1011205848?
True
Is 1580318 a multiple of 2?
True
Does 906 divide 544399092?
True
Is 801356159 a multiple of 3776?
False
Is 22 a factor of 86395827?
False
Does 611 divide 12248106?
True
Is 450 a factor of 12127556?
False
Is 6057304 a multiple of 9?
False
Is 89437573 a multiple of 92?
False
Is 10153194 a multiple of 3951?
False
Does 110 divide 8815243?
False
Does 7 divide 33460826?
True
Is 2052384089 a multiple of 34?
False
Is 8 a factor of 140983863?
False
Does 3602 divide 646133964?
True
Does 38 divide 141751628?
True
Is 766772369 a multiple of 11?
True
Is 344 a factor of 278034945?
False
Does 190 divide 565042140?
True
Is 4237062752 a multiple of 26?
True
Is 24 a factor of 1235904?
True
Is 1759 a factor of 61278264?
False
Does 2101 divide 131980618?
True
Does 743 divide 3313780?
True
Is 461552697 a multiple of 232?
False
Does 272 divide 185982448?
True
Does 16 divide 57645072?
True
Is 36068928 a multiple of 1344?
True
Does 623 divide 13665584?
False
Does 81 divide 607110331?
False
Is 1928662856 a multiple of 3541?
False
Is 136295152 a multiple of 41?
True
Is 1983 a factor of 61452204?
False
Is 199722808 a multiple of 1832?
True
Is 73777456 a multiple of 304?
True
Is 156 a factor of 269182368?
True
Is 914252 a multiple of 34?
False
Is 1584 a factor of 158504206?
False
Does 24 divide 17700168?
True
Does 1387 divide 133728992?
True
Does 63 divide 492883839?
True
Does 146 divide 476504872?
True
Does 451 divide 135454693?
True
Is 185 a factor of 3919190590?
True
Is 13 a factor of 374843404?
True
Does 185 divide 31866840?
False
Does 13 divide 1142944192?
True
Is 316315360 a multiple of 2104?
True
Is 1063 a factor of 27145831?
True
Is 1346766666 a multiple of 42?
True
Does 2102 divide 144233133?
False
Is 370653493 a multiple of 198?
False
Is 91 a factor of 629565391?
True
Is 7 a factor of 191214658?
False
Does 60 divide 15462900?
True
Is 1965064912 a multiple of 43?
True
Does 1320 divide 224329059?
False
Is 8 a factor of 59201640?
True
Is 111 a factor of 110719275?
False
Does 193 divide 65731460?
False
Does 8 divide 16295664?
True
Does 16 divide 138238337?
False
Is 132199546 a multiple of 15?
False
Is 602686288 a multiple of 16?
True
Is 353 a factor of 52988830?
True
Does 7 divide 2441581?
False
Does 451 divide 1278990392?
False
Does 2453 divide 27726259?
True
Is 60 a factor of 277555444?
False
Does 413 divide 55546043?
False
Is 148 a factor of 46896760?
True
Does 175 divide 22596000?
True
Is 2 a factor of 9588324?
True
Is 191 a factor of 55857387?
False
Is 127073653 a multiple of 196?
False
Does 5 divide 12229874?
False
Is 77359298 a multiple of 1102?
True
Is 447669026 a multiple of 9712?
False
Is 144219690 a multiple of 1026?
True
Is 113 a factor of 109304212?
False
Does 5 divide 11793503?
False
Is 4333 a factor of 682139857?
True
Is 138 a factor of 70278432?
True
Is 177 a factor of 253580438?
False
Is 16583736 a multiple of 598?
True
Is 4068531 a multiple of 43?
True
Does 3 divide 9452729?
False
Is 29 a factor of 62358048?
False
Does 7 divide 20596528?
False
Does 85 divide 114860937?
False
Is 115 a factor of 1252235?
True
Is 360107527 a multiple of 1633?
True
Is 30 a factor of 127718280?
True
Does 5410 divide 868295670?
False
Does 2 divide 114919387?
False
Does 207 divide 593376823?
False
Is 280569251 a multiple of 36?
False
Is 828 a factor of 63116784?
True
Is 5065324 a multiple of 836?
True
Is 147 a factor of 1113480721?
False
Is 512886528 a multiple of 192?
True
Is 12 a factor of 21730788?
True
Is 102609104 a multiple of 208?
True
Is 534 a factor of 6472804?
False
Does 19 divide 11737554?
True
Is 1184487024 a multiple of 168?
True
Does 83 divide 536422609?
True
Is 6 a factor of 4664106?
True
Is 22045198 a multiple of 1719?
False
Is 3538525645 a multiple of 5105?
True
Is 1059528672 a multiple of 46?
True
Does 13 divide 293868913?
True
Does 325 divide 21904675?
True
Is 4285 a factor of 1892924460?
True
Does 113 divide 43124190?
True
Is 785 a factor of 45189310?
True
Is 7723505 a multiple of 353?
False
Does 247 divide 39172318?
False
Does 29 divide 199431931?
False
Is 11 a factor of 6928405?
True
Does 3 divide 42367387?
False
Is 3295 a factor of 3537234105?
False
Is 24 a factor of 6873984?
True
Is 625 a factor of 701800?
False
Is 2364 a factor of 120479694?
False
Does 69 divide 11595124?
False
Is 1353 a factor of 52180311?
False
Is 42 a factor of 3650890469?
False
Is 61908 a multiple of 924?
True
Is 958713942 a multiple of 398?
True
Is 2941 a factor of 1162015569?
True
Is 4 a factor of 1986697?
False
Is 17 a factor of 11342611?
False
Is 80 a factor of 55615615?
False
Is 10231764 a multiple of 172?
True
Does 14 divide 1925385?
False
Is 14 a factor of 52954072?
False
Is 2826565 a multiple of 2905?
True
Is 25 a factor of 153719885?
False
Does 40 divide 38312240?
True
Is 271 a factor of 26345920?
False
Is 445 a factor of 920572985?
False
Does 47 divide 24865773?
True
Is 74071530 a multiple of 14?
False
Is 55 a factor of 5592019?
False
Is 4 a factor of 63257853?
False
Is 13 a factor of 671432034?
True
Is
|
{
"pile_set_name": "DM Mathematics"
}
|
**2 + 3*h**2) + h**3 + 0*h**3 - 4*h**3.
-9*h**3
Expand -143 + 143 + 90*t + (-1 + 2 - 2)*(-3*t + t + 3*t).
89*t
Expand ((-2 + 2 - 2)*(-3 - 3 + 5) - 26 + 9 + 10)*(s - 4*s + 4*s).
-5*s
Expand (5*k - 9 + 9)*(-1 - 2 + k + 1).
5*k**2 - 10*k
Expand (0*l**2 - 2*l**2 + 0*l**2 + l + l**2 - l + 2*l**2 + 3*l - 3*l + (2*l - 2 + 2)*(1 - 1 + 2*l) + (-3*l + 5*l - l)*(-3*l + 4*l + 0*l))*(3*l - 4*l + 3*l).
12*l**3
Expand (1 + 2 - 1)*(0 - 4 - 18)*(-4 + 4 + 2)*(1 - 2 + 0)*(c**5 + 0*c**5 + c**5).
176*c**5
Expand (-68 + 68 + 2*l)*(0*l + 3*l - 5*l).
-4*l**2
Expand (4 + 0 - 3)*(1 + 3 - 3)*(-5*b + 5*b + 5*b**2).
5*b**2
Expand (-1 + 2*j + 1)*(0*j**4 + j**4 + j**4) + 26*j**5 + 11*j**5 - 26*j**5.
15*j**5
Expand (-36 - 12*v + 36)*(-5*v + 4*v - v) - 2*v**2 + 0*v**2 + 4*v**2 + v.
26*v**2 + v
Expand (-1 - a + 1)*(-2*a - 3*a + 3*a)*(0*a**2 - 3*a**2 + 9*a**2).
12*a**4
Expand (-5*d**2 + 2*d + d**2 + 3*d**2)*(-d**2 - 4*d + 4*d).
d**4 - 2*d**3
Expand (-2*d**2 + d**2 - 2*d**2)*(0 + 0 - 3)*(-d + d + 2*d).
18*d**3
Expand -w**2 + 0 + 0 + (8*w - 14*w - 26*w)*(0*w + 0*w - 2*w) + (-w + 6*w - 4*w)*(-2*w - 1 + 1) + 1 - 1 - w**2.
60*w**2
Expand (-1 + 1 - g)*(-3 - 2 + 0) - 4*g - 10 + 10.
g
Expand -w**4 + 4*w**4 - w**4 + (2*w**4 - 5*w**4 + 2*w**4)*(0 + 0 + 1).
w**4
Expand (2*f**4 + 0*f**4 - f**4)*(-4*f + 0 + 0) + 2*f**5 - 5*f**4 + 5*f**4 + (f + 2 - 2)*(3 - 2*f**4 - 3).
-4*f**5
Expand 2*v - 4*v + 3*v + (v + 6*v - 3*v)*(-5 + 4 + 0).
-3*v
Expand d**5 + 2*d**5 - 5*d**5 - d**2 - 3*d**5 + d**2 + (1 + 2*d - 1)*(-d**4 + 3*d**4 - 3*d**4) + d**5 - d**2 + d**2 - 6*d**3 + 6*d**3 + 3*d**5.
-3*d**5
Expand (i + i - 3*i)*(-1 + 1 - 2*i) + 16*i**2 + 1 - 16*i**2 + 4*i**2.
6*i**2 + 1
Expand (b**2 - b**2 - b**2)*(b**3 + 33 + b**3 - 19).
-2*b**5 - 14*b**2
Expand (56*n**2 - 14*n**2 + 50*n**2)*(-n + 2*n - 2*n).
-92*n**3
Expand (4 + 0 - 2*m - 6)*(1 + 0 - 2).
2*m + 2
Expand (4*p**3 + 5*p**3 - 6*p**3)*(-2 - 3*p + 2).
-9*p**4
Expand (35*y - 35*y - 4*y**3)*(-5 + 6 + 1) + 2*y**3 + 0*y**3 - y**3.
-7*y**3
Expand (-52*t**3 + 2*t**4 + 52*t**3)*(-4 - 1 - 5).
-20*t**4
Expand (4*r**2 - 4*r**2 + r**2)*(-2*r**2 + 4*r**2 + 0*r**2) + 9*r - 2*r**4 - 12*r + r**4.
r**4 - 3*r
Expand (0*h**4 - h**4 - 2*h**4)*(8*h - 2*h + 0*h).
-18*h**5
Expand 2*a**3 + 2*a**3 - 6*a**3 + (a**2 + 4*a - 4*a)*(2210 - 57*a - 2210).
-59*a**3
Expand -10*i**5 - 17 + 17 + i**5 - 3*i**5 + 0*i**5 + (-i + i**3 + i)*(-3*i**2 + 2*i**2 + 0*i**2) - i**5 + 4*i**5 - i**5.
-11*i**5
Expand (5 - 5 - 1 - 1 + 1 - 2 + (0 - 2 + 1)*(-1 - 1 + 4) + 3 + 1 - 1)*(-2 + 3 + 0)*(4*p**5 - 16*p**4 + 16*p**4).
-8*p**5
Expand ((4*v - v - v)*(4*v - 2*v + 0*v) - 3*v**2 + 13 - 13 + v**2 - 3*v**2 + 3*v**2)*(2 - 2 - v**2).
-2*v**4
Expand (3*g - g + 2*g)*(-g + 0 + 0)*(2 - 2 + 1).
-4*g**2
Expand 3*n**4 - 2*n**4 + 2*n**4 + 2*n**4 - 3*n**4 + 3*n**4 + (3*n**2 - 2*n**2 + 0*n**2)*(-n**2 + n**2 + 3*n**2).
8*n**4
Expand (-2*t + 4*t - 4*t)*(-2*t**2 + 2*t**2 + t**4).
-2*t**5
Expand (1 - 1 + 2*c**2)*(5*c - 3*c - 4*c) + (-2*c**2 + 8*c**2 - 2*c**2)*(-1 + 2*c + 1).
4*c**3
Expand (-12*n**3 - 14*n**3 + 8*n**3 + (0*n + 2*n - n)*(1 - 2*n**2 - 1))*(2 - 3 + 2).
-20*n**3
Expand (0 + 0 - 3)*(2*s**2 + 1 - 1) - 2 - s**2 - s - 5 + 3.
-7*s**2 - s - 4
Expand (-5 + 2 + 2*f - 4*f)*(5 + 1 - 4).
-4*f - 6
Expand (8*a**3 + 0*a**3 - 4*a**3)*(4*a + 0*a - 5*a) - 2*a**4 + 0*a**4 + 3*a**4.
-3*a**4
Expand (61*k + 87*k - 247*k)*(2*k - 1 + 1).
-198*k**2
Expand (z - 3*z + 3*z)*(-3 + 2*z + 3)*(-6 + 6 - 4*z).
-8*z**3
Expand 3*j - 3*j + j**2 + j**3 - j**3 + 4*j**3 - 2*j**3 + (-2*j**2 + 5*j**2 - 5*j**2)*(2*j + 0*j - 3*j) - j**3 - j + j.
3*j**3 + j**2
Expand m**5 - 4*m**5 + m**5 + (0*m + 2*m - m)*(-2*m + 2*m - 4*m**4).
-6*m**5
Expand (2*f + 1 - 1)*(3 - 4 - 2)*(4 - 3 + 2 + (3 - 2 + 1)*(0 - 2 + 0) - 5 + 1 + 2).
18*f
Expand (3 - 3 - 2*s**2)*(5 - 5 - 4*s**3) + 4*s**5 + s**5 - 3*s**5.
10*s**5
Expand (0*o**2 + 0*o**2 - o**3)*(-88 + 88 + 7*o) + (-2 - 2*o + 2)*(-2*o**3 + 2*o - 2*o).
-3*o**4
Expand (-o + 0*o + 3*o)*(2 + 0 - 3) - 10*o - 11 + 11.
-12*o
Expand -u**3 + 2*u**3 - 3*u**3 + (u + 2*u**2 - u)*(-u - u + 10*u)*(1 + 0 + 1).
30*u**3
Expand (4 + 3 - j + 18)*(2*j + 2 - 2)*(-j**3 + 5*j**3 - 2*j**3).
-4*j**5 + 100*j**4
Expand -3*j**3 + 2*j**3 + 4*j**3 + (-j + j + 2*j)*(-2*j**2 + 5*j**2 - 2*j**2) + (j**3 + j - j)*(-5 + 4 + 2).
6*j**3
Expand (-3 + 2 + 3)*(5*u - 3*u - 3*u) + 0*u - 2*u + 0*u - 5*u + 3*u + u.
-5*u
Expand (-3 - 1 + 0)*(-4*z**2 + 2*z**2 + 4*z**2)*(-2*z + 4*z + 0*z).
-16*z**3
Expand (0*s - 3*s + 0*s)*(-3 - 1 + 1) + 4*s - 2*s - s + 8*s - 2*s - 8*s.
8*s
Expand (-10*m - 4*m + 13*m)*(1 - 3 + 1)*(-4*m**2 + m**2 + 2*m**2).
-m**3
Expand (-2*i - 3 + 3)*(94 - 10 + 24).
-216*i
Expand ((-63 + 119 - 49)*(3 + 3 - 4) + (-4 + 1 + 1)*(2 - 1 + 0))*(d + 0*d + 0*d).
12*d
Expand (6 - 11 + 15)*(0*b**2 + 12*b**2 - b**2).
110*b**2
Expand 8*a**5 - 5*a**5 - 5*a**5 + (-5*a + 3*a + 3*a)*(3*a**4 + 4*a**4 - 6*a**4).
-a**5
Expand (-1 + 1 + 5*f)*(-2*f**3 - f**3 + 2*f**3) + 0*f**4 - 3*f**4 + 4*f**4 + (0 + 2 - 4)*(-2*f**4 + f**2 - f**2) + 2*f**4 - 4*f**4 + f**4.
-f**4
Expand (0*d**3 + d**3 - 2*d**2 + 0*d**2 + (-2*d - 1 + 1)*(2*d**2 + 4*d**2 - 4*d**2) + 1 - 1 - 2*d**3 + d**3 + 4*d**2 - 4*d**2)*(-3*d - 3*d + 5*d).
4*d**4 + 2*d**3
Expand (4*v**2 + 0*v**2 - v**2)*(-2*v + 7*v - 3*v)*(2*v**2 + 0*v + 0*v).
12*v**5
Expand (2 - 2 + 2*c)*(-7*c**4 + 0*c**4 - 14*c**4).
-42*c**5
Expand (11 - 4 - 1)*(2*v - 3*v - v) + (-4 + 4 + 2*v)*(2 - 1 + 0).
-10*v
Expand -13 - 27*r**3 + 28*r**3 - 14 + (-r + 0*r + 2*r)*(3*r**2 - 2*r**2 + 0*r**2).
2*r**3 - 27
Expand (3*v - v - 14*v)*(2 - 4 + 5) + (-3*v + 5*v - 3*v)*(4 + 0 - 3) + 4*v + 0*v - 2*v.
-35*v
Expand (-2*o**3 + 0*o**3 + 0*o**3)*(2*o + 3 + 1 - 4*o).
4*o**4 - 8*o**3
Expand 2*o**5 + 1 - 1 + (3*o**2 - 4*o**2 + 0*o**2)*(-o**3 + 0*o**2 + 0*o**2) + (o**3 + 12*o**3 - 2*o**3)*(-2*o**2 + 2*o**2 + o**2).
14*o**5
Expand (2*u**2 + 12*u - 12*u)*(7 - 7 + 6*u)*(4*u - u**2 - 4*u).
-12*u**5
Expand (-2 + 4 - 3)*((-o + 2 - 2)*(-2*o**2 + 2*o**2 - o**4) + 167 - 167 - 28*o**5) + 5*o**5 + 0*o**5 - 3*o**5.
29*o**5
Expand (3 - 3 + 2*u)*(-3*u**3 + 0*u**3 + 0*u**3) - u**4 + 5*u**4 - 5*u**4.
-7*u**4
Expand (2 - 4 + 1)*(0*a - a + 0*a)*(0 - 3 + 5).
2*a
Expand (-n**3 - 2*n**2 + 2*n**2)*(12*n - 3*n - 4*n) - 4*n**2 + n**4 + 4*n**2.
-4*n**4
Expand (3*u - 3*u**2 - 3*u)*(2 + 3 - 4).
-3*u**2
Expand (4*k - 2*k - k)*(-1 + 3 - 3 + 0 + 3 - 2 + (2 - 1 + 0)*(-4 + 4 + 1) - 5 + 1 + 5).
2*k
Expand (2 - 2*o - 2)*(5*o + 2*o - 10*o)*(-3*o**3 + 4*o**3 + 0*o**3).
6*o**5
Expand y**4 - y**2 - 2*y + y**4 + 0*y**2 + (-1 + y + 1)*(-7*y**3 + 2*y**3 + 2*y**3).
-y**4 - y**2 - 2*y
Expand (-29*a - 46*a + 145*a)*((-1 - 4 + 4)*(a + a - 4*a) + 3*a + a - 2*a).
280*a**2
Expand (m**2 - 6*m**2 - 3*m**2)*(3 - 3 - m)*(4 - 2*m - 4).
-16*m**4
Expand (-3*i**3 - 4*i + 5*i + 5*i**3)*(1 - 7*i**2 - 1).
-14*i**5 - 7*i**3
Expand (6 - 2*s - 6 + (2*s + 2*s - 3*s)*(3 - 6 + 2))*(59 + 8 + 10).
-231*s
Expand -4*s + 0*s - 6*s - s + s - 2*s + 0 + 0 - 2*s - 2 + 2*s + 2 + (0 + 1 + 0)*(-1 + s + 1).
-11*s
Expand 0*k - 4*k + 2*k + (-2 + 2 + 1)*(5*k - 5*k + k) - 3*k + k + 3*k + (3*k - 6*k + 4*k)*(9 - 1 - 3) + 2*k + 2*k - 2 - 3*k.
6*k - 2
Expand (-r + 1 - 1)*(-26 - 11 + 11).
26*r
Expand (-u + 2*u - 2*u - 28)*(-4*u**3 + 3*u**3 - u**3).
2*u**4 + 56*u**3
Expand (5*y**2 - 2*y**2 + 0*y**2)*((3 - 3 - 2)*(3*y + 2*y - 2*y) - y + 0*y + 3*y).
-12*y**3
Expand (0 + 1 - 3)*(3*d - 2*d + 0*d) + (3*d + 0*d - 2*d)*(1 + 0 - 2) - 3*d + 8 + d + 12.
-5*d + 20
Expand 0 - 2*v**4 + 0 - 2*v**4 - 4*v**4 + 4*v**4 + (-3*v**3 + v**3 + 0*v**3)*(-5*v + 2*v + 0*v).
2*v**4
Expand (-6*w**3 + 4*w**3 - 14*w**3)*(-4 + 0 + 5) + w**2 - w**2 - w**3.
-17*w**3
Expand 7*m**4 + 0*m**4 + 2*m**4 + (-m**3 - m**3 + 4*m**3)*(1 + m - 1) - 3*m**4 + 2*m**4 + 3*m**4.
13*m**4
Expand (-3*u**4 - u**4 + 7*u**4)*(u + 1 - 1) + (u**3 - u**3 + u**3)*(-u**2 - 3*u**2 + 2*u**2) + 4*u**2 - 4*u**2 - u**5 - 5*u**5 + 2*u**5 + 2*u**5.
-u**5
Expand (3*p + 3*p - 5*p)*(73 + 62 - 103).
32*p
Expand (-g + g - g)*(-g**2 - g**2 + g**2) + 2*g**3 + 1 - 1 + 1904 - 1904 - 41*g**3.
-38*g**3
Expand ((0 - 1 - 1)*(-3*j + 6*j - 2*j) - 2*j + j + 6*j)*(-1 + 4*j**3 - 3*j**3 + 3).
3*j**4 + 6*j
Expand 6*b**3 - 3*b**3 - 2*b**3 + (2*b - 3*b + 3*b)*(b**2 + b**2 - b**2) - 3*b**3 + 13*b**3 + 2*b**3.
15*b**3
Expand (3*m**2 - 4*m**2 + 2*m**2)*(-m**2 - 2*m**2 + m**2 - 1).
-2*m**4 - m**2
Expand -10*d + 14*d - 26*d + (3*d + 3 - 5 - 4*d
|
{
"pile_set_name": "DM Mathematics"
}
|
-3, s, 1
Let j = -3.851 - 0.149. Put 3, j, 5, 0.5 in descending order.
5, 3, 0.5, j
Let q = -197/5 + 39. Let a = 1.5 + -1.7. Sort a, q, -2 in decreasing order.
a, q, -2
Suppose 32 = 2*x + 28. Let m = 0.53 + -0.03. Sort 5, m, x in decreasing order.
5, x, m
Let n = -18.9 - -5.9. Put n, -4, -1, -0.3 in ascending order.
n, -4, -1, -0.3
Let o(d) = -d**2 + 7*d + 9. Let x be o(7). Let f = -4 + x. Suppose -q + 3*h - f = 0, 5*q - h - 15 = -40. Sort 1, q, 4 in decreasing order.
4, 1, q
Suppose -4*b = b + 15. Put 5, b, -0.2 in decreasing order.
5, -0.2, b
Let h be 2/(-10) + 116/(-20). Let i = 6 + h. Sort i, 1, -3 in ascending order.
-3, i, 1
Let j = -3 + 2.9. Let y be (-2)/8 + 0 - -1. Let b = -8.6 + 9. Sort y, j, b in decreasing order.
y, b, j
Let t be 2/(-6)*(-18)/2. Suppose -2*o + 4 = -0*o - 2*f, -t*o - f + 2 = 0. Suppose -o = -5*q - 6. Put 0.1, 1, q in descending order.
1, 0.1, q
Let c = 97 - 96. Sort 4, -16, c, -3 in descending order.
4, c, -3, -16
Let v be (16 - 20)/(1 + -2). Sort v, -2/5, 3, -3 in decreasing order.
v, 3, -2/5, -3
Let l = -10 - -15. Let d = -4 + 1. Suppose -2*k + 2 = -0*k. Sort k, d, l.
d, k, l
Let g = -11 - -16. Suppose w = r - 1, w + w = g*r - 14. Suppose -r*o - 16 = -0*o. Sort o, -8, 2 in decreasing order.
2, o, -8
Let s = -1.009 - -0.009. Put -0.04, -0.3, s in increasing order.
s, -0.3, -0.04
Let y be 1/((2/(-4))/(-1)). Suppose -h + y = h. Suppose -7 = 2*d + 5*z - 2, 3*z = -3. Put h, -1, d in increasing order.
-1, d, h
Let f be ((-10)/(-300)*3)/((-2)/4). Let m = 6458/17 + -380. Sort m, f, 3 in descending order.
3, m, f
Let s(c) = -c**2 - 6*c - 5. Suppose -3*i - 12 = -0*i. Let l be s(i). Let a be -1 - -2*l/(-6). Sort 5, -5, a.
-5, a, 5
Let f = 4 + -5. Let d be 1*3 - (-1 - f). Suppose -4 = -4*c, -9 = 2*h - 0*h - 5*c. Put h, d, 5 in descending order.
5, d, h
Let b = -482/5 - -96. Sort -2, 5, b.
-2, b, 5
Let p = -49 + 57. Put p, 2, -5 in decreasing order.
p, 2, -5
Suppose -4*i + 6 + 5 = -5*v, 3*i + 18 = -5*v. Sort 0, v, 5 in decreasing order.
5, 0, v
Let z = 3 + -3.05. Let n = 2 + 0.05. Let b = n + z. Sort b, -1/4, 0.3 in increasing order.
-1/4, 0.3, b
Suppose 4*h - 6 = -5*i, h - 6 = 5*i + 2*h. Put -22, -4, i, -3 in increasing order.
-22, -4, -3, i
Let m = -22 + 22.4. Sort 14, m, 0 in descending order.
14, m, 0
Let p = 8.1 - 8. Let n(l) = -l + 8. Let z be n(8). Let k be 10/(-6) + (2 - z). Put -4, p, k in decreasing order.
k, p, -4
Suppose 10*u = 7*u + 15. Suppose -5*m - 5*n = 10, -5*m + 3*m + u*n + 31 = 0. Sort m, 4, 2 in decreasing order.
4, m, 2
Let c = 1/3 + -13/12. Suppose t + 3 = 4*f, 0 = -4*t + 4*f - 0 - 12. Sort c, t, 0 in ascending order.
t, c, 0
Suppose 0 + 4 = 2*x. Let y be 1/x*(1 + 1). Let k(t) = -5*t**2 + 1. Let p be k(y). Put 0.3, p, 5 in decreasing order.
5, 0.3, p
Let g = 27 + -14. Let j = g - 11. Sort 5, -3, j in increasing order.
-3, j, 5
Let d = 12 + -21/2. Sort -0.4, d, 0.5.
-0.4, 0.5, d
Let j be 2/3 - 3/(-9). Let d = 4 + -2. Suppose 4*x - 10 = 2. Put x, d, j in descending order.
x, d, j
Suppose 0 = 2*v - 0*v - 10. Let q = 1 - -2. Suppose 2*s = -5*i + 28, -2 = -2*s + 4*i - 10. Put s, v, q in increasing order.
q, s, v
Suppose 2*g = -g - 15. Let u = -3 - g. Sort -1, 0, u in increasing order.
-1, 0, u
Let y = -6 + 6.1. Let v = -455/6 + 76. Sort 4, v, y in ascending order.
y, v, 4
Let q be 39/26*(-10)/3. Sort 4, -3, q in decreasing order.
4, -3, q
Let z = -1 + 3. Put 1, 4/5, z in decreasing order.
z, 1, 4/5
Let b = -4 + 6. Let h be (-1)/(-2)*b - -3. Let q = -56 - -56. Put q, h, -2 in decreasing order.
h, q, -2
Let d = -3 - 0. Let x = d + 3. Let b = x - -0.1. Put b, -5, 1/4 in ascending order.
-5, b, 1/4
Let o = -0.06 + -7.94. Sort 1/2, -1/8, o in decreasing order.
1/2, -1/8, o
Let a be 1/((-2)/(-8)) - 7. Suppose 22 = 5*o - 13. Suppose -o + 3 = 2*i. Sort -5, i, a in descending order.
i, a, -5
Let y = -39 - -35. Suppose x + 7 = -4*x + 2*v, -4*x - v - 16 = 0. Put y, -1, x in descending order.
-1, x, y
Let b = 7 + -6. Suppose -4*m - 3 = b. Let f = 11 - 16. Put f, m, -4 in ascending order.
f, -4, m
Let l = -17 - -24. Let r = l - 7.3. Suppose 4*i - i + 3*y = 18, 5*i - 2*y - 2 = 0. Sort i, r, -1 in ascending order.
-1, r, i
Let y = -2.1 - -2. Let v = 14 + -14.3. Sort 0.3, v, y.
v, y, 0.3
Suppose 8*w - 4*w + 8 = 0. Let j be 6/(-4)*w/3. Suppose 3*k + 21 = 2*l + 7, -2*l - 14 = 4*k. Sort j, 0, k in ascending order.
k, 0, j
Suppose 2 = -4*x + 14. Suppose -4*i = 3*m + 4, 3*i - 18 = m + 2*m. Suppose -x*f = i*f. Sort f, -4, -1.
-4, -1, f
Let v = 51 - 51. Let k be 0/2 + -2*1. Put k, -3, v in increasing order.
-3, k, v
Let z = 0.1 - -1.9. Put z, -0.5, -5 in ascending order.
-5, -0.5, z
Let w = -2 - -2.2. Let l = -3.02 - -3. Let p = 0.28 - l. Sort w, 3/7, p in descending order.
3/7, p, w
Let x = 144.6 + -145. Put 5, 3, 1, x in increasing order.
x, 1, 3, 5
Let s = 438/5 + -88. Let m(r) = -20*r. Let y be m(-1). Suppose -y = -6*q + q. Sort s, -4, q in increasing order.
-4, s, q
Let i = -10 - -7. Let z be (i/(-6))/(1/(-10)). Put 5, -2, z in decreasing order.
5, -2, z
Let s = -2 + 2.2. Let z be (10/(-18))/(2/3). Put 1/6, s, z in ascending order.
z, 1/6, s
Let u be (3/3)/(40/16). Suppose 26 - 18 = -2*n. Put n, 7, u in decreasing order.
7, u, n
Let b be (-8)/(-44) - (-24)/(-11). Sort 0.4, b, -4, 0 in decreasing order.
0.4, 0, b, -4
Let r(s) be the first derivative of s**2/2 + 2*s + 3. Let m be r(-2). Sort -4, 4, m in ascending order.
-4, m, 4
Let n(t) = -9 - t**2 - 2*t**2 - 10*t + 2*t**2. Let z be n(-7). Suppose -z = -2*o - o. Put o, -2, -3 in increasing order.
-3, -2, o
Let z(n) be the second derivative of n**4/12 - 3*n**3/2 - 7*n**2 + n. Let r be z(10). Let g be (-2)/(4/2 + -1). Put g, 3/2, r in descending order.
3/2, g, r
Let b be 2/(-6)*3/(-4). Let c be (-9)/(-12)*(-1 + 21/45). Put b, 2, c in ascending order.
c, b, 2
Let p be ((-4)/6 - (-10)/6)*5. Suppose 2*o - 20 = 6*o. Put o, p, -2 in decreasing order.
p, -2, o
Suppose 4*l = 5 - 1. Suppose -x - 9 = -4*p, -l = x - 4. Suppose -3*g + 12 = p. Sort 0, g, -2 in decreasing order.
g, 0, -2
Let x(g) be the third derivative of 1/120*g**6 + 0*g + 0 - 1/3*g**3 + 1/12*g**5 + 4*g**2 + 1/8*g**4. Let d be x(-4). Sort d, -3, -4 in increasing order.
-4, -3, d
Let x(o) = 3*o**2 - 1. Let u be x(-1). Suppose -u + 8 = 2*n. Suppose -r - 8 = -n. Sort -0.3, r, -2/5 in ascending order.
r, -2/5, -0.3
Let a be (-1 + -2)*3/9. Put 10, -2, a in increasing order.
-2, a, 10
Suppose 2*a - f = -7, 5*f - 5 + 42 = -2*a. Let b be (-11 - 1)*2/a. Suppose -b + 14 = 2*r. Put r, -5, -3 in increasing order.
-5, -3, r
Let h = 2.96 + -3. Let t = h + 0.01. Let f = 4.97 - t. Put -3, -1/5, f in ascending order.
-3, -1/5, f
Let v = -30 + 89/3. Let p be (-264)/390*(-10)/4. Let i = -400/221 + p. Put v, -4, i in ascending order.
-4, v, i
Let c = -0.3 + 0.2. Let a = -11 - -7. Sort a, -1, c.
a, -1, c
Let c(a) = -a**2 - 6*a - 1. Let z be c(-7). Suppose 0 = 3*u + u - 3*x + 48, 3*x = 0. Let w = u - z. Sort w, -2, -1.
w, -2, -1
Let i = 0.1 + -0.4. Sort i, 0.5, -2 in descending order.
0.5, i, -2
Suppose 4*g - 15*g = 22. Put -15, g, 2, -1 in increasing order.
-15, g, -1, 2
Let l = -101 + 106. Sort -5, 1, l in decreasing order.
l, 1, -5
Let v(j) = -2*j + 7. Let l be v(5). Let z = 3 + 4. Suppose -4 = 2*f - 5*i, -z = -f - 0*i - 2*i. Sort -5, l, f in decreasing order.
f, l, -5
Let s(l) = l**3 + 6*l**2 + 5*l - 5. Let o be s(-5). Let p = o - -8. Suppose 1 - 5 = k. Put k, -5, p in descending order.
p, k, -5
Let v(d) = d**2 - 3*d - 11. Let k be v(5). Sort k, 0, 5 in decreasing order.
5, 0, k
Let s = 22 - 14. Suppose 1 - 3 = 2*w - 4*t, w + 5*t + s = 0. Let b be (2/9)/(10/30). Put b, w, 0 in decreasing order.
b, 0, w
Let o(s) = s - 5. Let m be o(5). Suppose c + 3*c - 24 = 0. Put m, -2, c in decreasing order.
c, m, -2
Let o = 1.3 - -3.5. Let g = o - -0.2. Let i = -7 + 5. Sort i, -4, g in decreasing order.
g, i, -4
Suppose -c + x = 4*x + 9, c - 3*x - 15 = 0. Suppose 0 = -4*t - c + 7. Let a(l) = 3*l**3 + l**2 + l + 1. Let y be a(-1). Sort y, t, 2 in decreasing order.
2, t, y
Let m = 16 + -16. Let d = -0.6 - -0.3. Let u = d - -1.3. Sort u, m, 0.5 in decreasing order.
u, 0.5, m
Suppose 23*m - 26*m = -15. Sort -8, 0, 1, m in decreasing order.
m, 1, 0, -8
Let b = 4 - -2. Let m = -10.7 + 0.7. Let a = b + m. Sort -3, -1/7, a.
a, -3, -1/7
Let x = -0.4 - 0.1. L
|
{
"pile_set_name": "DM Mathematics"
}
|
Which is smaller: c or 45/2?
45/2
Let z = 52 - -37. Let h = z - 106. Does h = -2/9?
False
Let j = -8549 + 8548. Let l be 45*(-2)/7*(-70)/(-3). Is j greater than l?
True
Let k(i) be the third derivative of 0 + 0*i + i**3 - 7/8*i**4 - 16*i**2 + 1/60*i**5. Let m be k(20). Which is smaller: -11 or m?
m
Let x = 0.101 - 5.101. Let b = -2015/198 - -193/18. Which is greater: x or b?
b
Suppose -3*o = -2*o - 2*i + 2, 2*i - 14 = 3*o. Let n be (-110)/(-15)*(o/(-8))/(-3). Is -2 > n?
False
Let g(q) = q**3 - 11*q**2 - 3. Let c be g(11). Suppose -j + 4 = -4*w - 40, 0 = j. Let i be w/c*(-42)/7. Which is smaller: i or -21?
i
Let n be 2/(-5) - (-6)/15. Let k(t) = t + 1. Let g(q) = -q. Let i(w) = -g(w) - 2*k(w). Let p be i(-1). Is p greater than n?
False
Let t = -104487/13 - -8037. Is t bigger than 19/7?
False
Suppose -10 = -4*q + g, -5*q + 6 = 28*g - 26*g. Suppose -3*p - 111 = -q*j + 58, 4*j - 20 = 0. Is p greater than -52?
False
Let s = -2997 - -2981. Is -35 smaller than s?
True
Let p = -0.2 - -0.1. Let b = -227.5 + 239. Let d = -22.5 + b. Are p and d unequal?
True
Let p = -119.2 - -9.2. Let d = p - -109.93. Let h = 4 + 2. Are d and h non-equal?
True
Let q = -9992 - -9992. Does q = 4719?
False
Let t = 25.953 - -12.047. Which is smaller: t or -23.8?
-23.8
Let x = -74/2005 + 710422/126315. Which is bigger: x or 5?
x
Let i(x) = 20*x + 58. Let v be i(-2). Suppose 10*s = v*s + 48. Which is bigger: s or 8?
8
Let v = 199 - 388. Let f = 83 + v. Which is bigger: 0 or f?
0
Let c(r) = 2*r - r**2 - 7273 + 5*r + 14*r + 7261. Let g be c(20). Suppose -2*u + 0*u = -h - 15, -2*u + 3*h + 13 = 0. Is u at least as big as g?
True
Let u = 2/397 + -405/1588. Does 1847 = u?
False
Let b be (-6*9/4)/(1/(-112)). Let k = -1516 + b. Suppose -2 - 14 = 2*q. Is q < k?
True
Let o = -8260 - -8131.1. Are -0.2 and o unequal?
True
Suppose 0 = a + c - 15, c - 30 = -2*a - 0*c. Let s(m) = m**3 - 16*m**2 + 18*m - 21. Let k be s(a). Which is greater: 23 or k?
k
Let o be 4*(6 + 271/(-45)). Let d = -3691/30 - -123. Let p = d - o. Which is smaller: -1 or p?
-1
Let l = 6574 + -6586. Is 1.97 not equal to l?
True
Let w = 57 - 45. Suppose u + 2*m - 5 = 0, w*u - 7*u + m - 16 = 0. Let b = -13 - -7. Are b and u equal?
False
Suppose 110*l = -1028 - 1172. Let z = 1.3 + -0.3. Is z greater than or equal to l?
True
Suppose -4*r + 3 = -1. Let p = 452.55 + -452.41. Which is smaller: r or p?
p
Let r = 3511 + -3613. Is -3 >= r?
True
Let h(r) = 19*r - 9 + r**2 - 16 + 20*r - 13*r. Let p be h(-27). Suppose 0*g + 2*g + p*m + 2 = 0, -4*m + 16 = -g. Is 2 < g?
False
Suppose -z - 17 = -0*z. Let f = 106 + -102. Suppose -4*r + 52 = -f*a - 12, a + 8 = 3*r. Is a at most as big as z?
True
Let x be 5*(35/(-7) - (-4 + 1)). Let z be (x/90)/(4/18). Is z at least -110?
True
Let a(p) = -14*p + 13 + 18*p - 5*p. Let d be a(11). Let g be 14/(d/(-9) + 32/(-18)). Is g bigger than -8?
True
Let s(j) = -3*j**2 - 77*j - 1372. Let z be s(-23). Which is smaller: z or -1185?
z
Let u = -416 - -716. Let w = u + -299. Which is greater: 111 or w?
111
Let r(v) = -v**2 + 6*v. Suppose -2*p = -2*o - 22, 0 = -3*p - o + 15 - 2. Let g be r(p). Is g bigger than -20/19?
True
Let i = 269 + -263. Suppose i*y + 1617 = -y. Are -231 and y unequal?
False
Let n(z) = -z + 59. Let v be n(0). Let m = 5512 + -5452. Is v less than or equal to m?
True
Let v = 3/241238 - -1935452465/723714. Which is smaller: 2673 or v?
2673
Let y be ((-19794)/4)/(-6 + 2 + 0). Let g = y - 1226. Which is bigger: 10 or g?
g
Let w(o) = 3*o**3 + 7*o**2 + 118*o - 624. Let r be w(5). Which is greater: r or 510?
r
Let n = 13.5 - -40.5. Let h = n + -53.855. Let l = h + -0.102. Which is greater: l or 1?
1
Let m be -16*1/(-1)*(-3996)/(-90)*10. Do m and -0.2 have different values?
True
Let n = 1 + 25. Let m(d) = -d**2 + 28*d + 40. Let l be m(n). Suppose 5*t - 112 = -l. Is -3 greater than or equal to t?
False
Let z(b) be the third derivative of b**5/60 - 35*b**4/24 + 131*b**3/6 + b**2 + 19*b. Let s be z(31). Which is greater: -4 or s?
s
Let d be 4/14 - (-10)/(-35). Suppose 2*w - 14 + 10 = -2*z, 4*w + 3*z - 5 = d. Is 1/268 at most w?
False
Let b be (-2)/38 + 1152/7448. Are b and -1 equal?
False
Suppose u + 49 = -5*o, 118 = 5*u + 138. Which is greater: o or 102?
102
Let j be 8/(-14) - (-20536)/4284. Let d(f) = -2*f + 19. Let z be d(8). Which is smaller: z or j?
z
Suppose h - 6*h = 2*o - 16, -o = -4*h - 8. Let y be ((-2)/o)/((-1)/76). Is 20 equal to y?
False
Let v = -820 + 404. Which is bigger: -419 or v?
v
Let l(a) = -a**2 + 5*a + 8. Let s be l(6). Suppose s*m = -3*h - 22, 4*m + 36 = h + 6. Let y be 8/m*(43 - 2). Is -40 bigger than y?
True
Suppose -85*o + 79*o = -1908. Are o and -0.2 non-equal?
True
Let u be ((-1)/(-2))/(253/(-88)). Let l be (-2 + (-55)/(-20))/((-2)/(-8)). Suppose 3*s = g + l, 2*s = s - g - 3. Is s bigger than u?
True
Suppose -3*m + m + 6 = 0, d = m + 5. Let q = -628 - -1057. Let t = q - 415. Which is smaller: t or d?
d
Let x be ((-55)/(-8))/(5/(-20)). Let n be 5 + (-2 - -14)/4. Let i be (-217)/n + 8/64. Is i less than x?
False
Let b = -154.83 + 156. Let q = b + -1.17. Which is smaller: q or -0.25?
-0.25
Let z = -53/9 + 26/3. Suppose 0 = 2*k + j - 2*j - 7, 3*j - 19 = -4*k. Is k at least as big as z?
True
Let r be (-2 - 9/1) + 1. Suppose 2*h + 4 = 0, 2*h = -2*x - h + 4. Suppose -6*g = -4*g - 5*q + 18, -x*q = -3*g - 27. Which is smaller: r or g?
r
Let m = 189958 - 146837564/773. Which is bigger: m or -1?
m
Let g(f) = -f**3 - f**2 + 93*f - 91. Let x be g(1). Let q be (1/15)/((-62)/(-6)). Which is bigger: x or q?
q
Let i(p) = p**2 + p. Let u(v) = 4*v**2 - 2*v - 7. Let n(z) = -5*i(z) + u(z). Let h be n(-9). Let q be ((-6)/(-15))/((-3)/(-30)) - h. Is 28 greater than q?
False
Let w(b) = -40*b + 175. Let t be w(10). Let l = t - -169. Which is smaller: l or -54?
l
Suppose 5*o + 2*r + 14574 = 0, 5*o + 6*r + 8706 = 2*o. Is -8753/3 smaller than o?
False
Let g = -60.6 + 4.6. Let q = g + 86. Let m = -26.6 + q. Is 1 > m?
False
Suppose -12672 = 18*x - 36*x. Let q = x + -705. Which is greater: q or 8/187?
8/187
Let w be 1/(-2 - (7/3)/(-1)). Suppose -65 = 4*a + 5*i, w*a + 25 = a - i. Let q be (2 + a/3)/(2/(-9)). Do q and 7 have different values?
True
Let d(n) = -n**2 - 9*n - 8. Let a be d(-7). Let v be 21/(-14) + 45/a. Let o(q) = 3*q - 17. Let m be o(v). Is m <= -3/31?
False
Let n = -1.0901 - 1385.7099. Let s = -1387 - n. Suppose -26 = -2*m + 4*m. Which is greater: m or s?
s
Let d be (6/(-10))/((-3)/(-15)) + 0. Let n be (3/(d/1))/1. Let k be (-6)/(7 + n) - (0 + -2). Which is greater: -6/13 or k?
k
Suppose -4*p = -j + 4*j - 9, 2*p + 3*j = 3. Suppose p*w - 6*w + 18 = 0. Let i be 21/(-12)*(24 - 28). Which is smaller: i or w?
w
Let f be -5*(-5)/((-10)/14). Let m = -34 - f. Let y be (2/(-24)*m)/(1/(-70)). Which is smaller: y or 7?
y
Let l(x) = -x**3 + 33*x**2 + 54*x + 98. Let u be l(35). Which is smaller: -460 or u?
u
Let w = 863/9 + -74219/774. Which is bigger: w or -1?
w
Let b(r) = -r**2 + 3*r. Let j(a) = -a**2 - 3*a + 7. Suppose 4*n + 3*i + 13 = 0, 0 = -4*n + 2*i - 4*i - 14. Let v be j(n). Let s be b(v). Is -1/13 < s?
True
Let h = 174 + -195. Let n be (14/h)/(4/(-9)). Is n > 1?
True
Let g(c) = c**2 - 2*c - 58. Let t be g(9). Suppose t*b = 4*x - 24, 14*b - 11*b + 2*x = -32. Suppose -7 = 5*s + l + 31, 2*s - 4*l + 2 = 0. Is s > b?
True
Let x = 3/10 - -1/5. Let r(q) = -1912*q - 23038. Let b be r(-12). Which is bigger: x or b?
x
Let w(z) = 6*z**2 + 2*z + 7. Let v be w(6). Let g = -175 + v. Which is smaller: g or 58?
58
Let j = -164 - -398. Let o = 233.91 - j. Are o and -0.02 nonequal?
True
Let j = -17/104 + 499/1144. Which is smaller: j or 4/5?
j
Let h = -563 + 823. Which is greater: 262 or h?
262
Suppose -28*k + 4 = -32*k. Let v = k - 7. Let x(y) = y**3 - 10*y**2 + 17*y - 17. Let j be x(8). Which is bigger: j or v?
v
Let a(x) = -14*x**3 - 80*x**2 - 14*x + 2. Let q be a(-8). Which is smaller: 2161 or q?
2161
Let c = -19178 - -10336. Is -8842 less than c?
False
Suppose 22*z = 25*z + 9. Let c = -79 + 72. Is z greater than c?
True
Let s = -3855 + 3758. Is s at least -98?
True
Suppose 0 = 5*w - 3*u - 12, -5*u - 20 = -4*w - 0*u. Which is bigger: -2/22027 or w?
w
Let g(p) = -p - 1. Let u be g(-11). Suppose 2*t + 6 - u = 0. Suppose -t*c + o - 1 = 0, -3*c + 0 = 3*o - 12. Which is bigger: c or 7/8?
c
Let n(v) = 376*v - 2
|
{
"pile_set_name": "DM Mathematics"
}
|
uppose 45 = 13*y - 8*y. Suppose -4*z - 3*j = -y, 3*z + 3*j = 6 + 3. Is x(z) a composite number?
False
Suppose -17 = -4*b - 3*a, -5*b - a + 26 = -2*a. Suppose 1104 = -4*l + 6960. Suppose -w + 289 = 4*v, -b*w - v = -0*w - l. Is w prime?
True
Let j(c) = -5*c - 66. Let v be j(-13). Is (v/12*-4)/(2/9930) composite?
True
Let h(i) be the third derivative of 47*i**6/720 + 11*i**5/120 - i**4/3 + 7*i**2. Let p(b) be the second derivative of h(b). Is p(6) prime?
True
Suppose -8*d = -3*r - 7*d + 4913, 4*d = -8. Is r composite?
False
Let j = -9 + 9. Suppose 2*i + i + 120 = j. Let y = i + 86. Is y a composite number?
True
Suppose 209 = 4*i - 3*b, -i - 2*b + 14 = -41. Suppose -u + 0*u + i = 0. Is u a prime number?
True
Is 21169 - (13 - (12 - 7)) composite?
True
Let r be (92/(-161))/((-1)/7). Suppose -1446 = 3*t - r*c - 3657, 2211 = 3*t + c. Is t a composite number?
True
Let b(w) = w**3 + 3*w**2 + 2. Let r be b(-3). Suppose r = -4*v + 38. Suppose 6*p + 267 = v*p. Is p a composite number?
False
Let v = 0 + 7. Suppose 0*a + 4*a = s - 19, 4*a + v = -3*s. Suppose -s*b = m - 31, 2*b - 61 = 5*m - 148. Is m prime?
True
Let o be -377*7 + 0 + 2. Let j be (-2)/(-4) + o/18. Let i = j - -565. Is i a prime number?
True
Suppose -5*t - y + 0*y + 3975 = 0, 3*t - 3*y = 2367. Suppose 3*p + 4*h - h = -1215, 0 = 2*p - 2*h + t. Let b = p - -567. Is b prime?
False
Let b(a) = -a**3 + 6*a**2 - 2*a + 7. Let t be b(6). Let m(p) = 11 - 2 - 543*p + 538*p. Is m(t) a composite number?
True
Suppose 0 = 4*x, 4*l - 5*x = -9*x + 147892. Is l a prime number?
True
Suppose 5*a = m - 35, -6*m + 15 = -2*m + 5*a. Let x be 68/11 + m/(-55). Suppose 3*v + x - 63 = 0. Is v a prime number?
True
Let c = -1858 - -4915. Is c a composite number?
True
Let u = -25 - -37. Let b be -2 - (-9 + u/4). Suppose 4*v - 36 = -b*l, 0 = -2*v + 6*v - 3*l - 50. Is v composite?
False
Let n(p) = 1 + 4 + 2*p - 1 + 34*p**2 + 2*p. Let f be n(-3). Suppose f = -2*r + 4*r. Is r a prime number?
True
Let f = -589 + 2826. Is f prime?
True
Is -92*((-228)/16 - -5) prime?
False
Let b = 124 + -316. Let z = 1501 - b. Is z prime?
True
Let f = 2 - 8. Is (-500)/f + 2/(-6) a prime number?
True
Let h be 3*51/18*2. Let i = 32 - h. Suppose 52 = i*m - 11*m. Is m prime?
True
Let p(k) = 59*k**2 + 11*k - 2. Let t be p(2). Let z = 1605 - 828. Let q = z - t. Is q composite?
False
Suppose -i - 5*z = 2*i - 31, -2*z + 8 = -i. Is i - (29061/(-15) + (-8)/(-20)) a composite number?
True
Suppose -2*q = -3*q + 7. Suppose -9*f + 20 = -7. Is 726/21 + f/q composite?
True
Let x be (-738)/(-12)*(-16)/(-6). Suppose -5*k - 4*l - 8 = 0, -2*l - 5 + 1 = 0. Suppose -x = -k*y - 2*y. Is y a prime number?
False
Suppose -19 = -5*q - 5*y + 2*y, -2*q = 5*y. Suppose 5*p = -q*k + 2705, -2*p - 2705 = -7*p - k. Is p a prime number?
True
Suppose 3*i + 2*c + 1432 = 572, -3*i - 855 = 3*c. Let w = 297 - i. Is w a composite number?
False
Let k be 1*(-6 - -4) + 412. Suppose -8*i - b + k = -3*i, 246 = 3*i + b. Is i a composite number?
True
Is (-18010973)/(-553) - 4/7 a prime number?
True
Let k(m) = 47*m**2 + 91*m + 107. Is k(-21) composite?
True
Let k(o) = 22*o**2 + 11*o - 10. Let b be k(8). Let a be (16 - 4)/4 + b. Suppose 3*p - a = -538. Is p a composite number?
False
Is 9/((-27)/(-140757)) + -12 composite?
True
Suppose a + 1113 = -4*j, -5*a + 2*j = -3*j + 5615. Let g = a - -2272. Is g composite?
False
Is (-5 + -1 - -717) + 2 prime?
False
Let p(s) = s**2 - 8*s + 13. Let c be p(4). Is 0*c/15 - -127 a composite number?
False
Let b(i) = -i**3 + 17*i**2 - 34*i - 13. Let c be b(15). Let m be (0 + 152)/(-1*1). Let y = c - m. Is y a composite number?
False
Let m(v) = 36*v - 3. Let o be m(2). Let a = 106 - o. Is a composite?
False
Let q(c) be the third derivative of -c**6/120 - 3*c**5/10 - 5*c**4/12 + 25*c**3/6 + c**2. Is q(-18) composite?
True
Is 2338 - (-16 - -13)*10/(-6) composite?
False
Let p(y) = -843*y - 1. Is p(-1) a prime number?
False
Suppose -520 = -2*a - 3*a. Let g = 147 - a. Suppose 0 = 3*j - 148 + g. Is j a prime number?
False
Let a = 52884 - 36437. Is a composite?
False
Let h be 2/1*10/4. Suppose -h*x + 3349 = -4*c + 546, -2240 = -4*x + 4*c. Is x prime?
True
Let n = 16 + -11. Suppose -12 = n*p + 8. Is (p/(-6))/(3/711) a composite number?
True
Suppose 599 = 5*h - 3*c - 184, -2*h + 5*c + 298 = 0. Is (14/(-21))/((-2)/h) prime?
True
Is (187383/(-28))/((-12)/16) prime?
True
Suppose 0 = -5*r, -4*u + 0*u = -3*r - 32. Let y(q) = 3*q - 18. Let s be y(u). Suppose -4*v + 1951 = 5*l, s*v + 5*l - 2440 = v. Is v a prime number?
False
Let h(c) = -33*c + 8. Let x(p) = 34*p - 7. Let k = -14 - -10. Let i(g) = k*h(g) - 3*x(g). Is i(10) a composite number?
True
Suppose -11*a = -9*a. Let r = a + 9. Let l(d) = 12*d + 1. Is l(r) prime?
True
Suppose -5*a - 65 = 4*d, 0*d + 2*d + 10 = 0. Let i(q) = -q**3 - 9*q**2 - 3*q - 12. Is i(a) composite?
True
Let r = 48572 + -32449. Is r prime?
False
Is 12678/2*1*28/12 a composite number?
True
Suppose 3*o - 4*n - 9488 = 2817, -5*o + 20513 = -2*n. Is o prime?
False
Suppose -4*j = -s - 298494, 0*j - 2*j + 2*s + 149250 = 0. Is j prime?
True
Suppose 10542 + 1579 = 23*g. Is g a composite number?
True
Is ((-54)/(-189))/(2/496559) a prime number?
True
Suppose r - b = 2931, -2*r + 0*b = 5*b - 5876. Is r prime?
False
Suppose 4*u + 4*m + 24 = 0, -9*u + 2*m - 28 = -7*u. Let v(b) = b**2 - 25*b - 13. Let j(q) = -q**2 + 12*q + 6. Let z(r) = -5*j(r) - 3*v(r). Is z(u) composite?
False
Is 2797/(4/(72/6)) prime?
False
Let n be (-9027)/36 - 1/4. Let s = 504 + n. Is s prime?
False
Let p(y) be the second derivative of -y**5/20 - y**4/3 + y**3/2 - 5*y**2/2 - 4*y. Let b be p(-5). Suppose 8*x = 5*w + 3*x - 830, 2*w = -b*x + 311. Is w prime?
True
Suppose -2*u - 3731 - 3897 = 0. Is ((-14)/(-5))/(-7) - u/10 composite?
True
Suppose 0 = -3*x + 2*g + 19559, 0 = 3*x - 6*g - 5182 - 14369. Is x composite?
False
Suppose -5*o + 17 = -2*o - d, 0 = 2*o + 5*d. Suppose 1326 = o*i + 4*c - 249, -344 = -i + 5*c. Is i prime?
False
Suppose 3*w = -2*q + 80, -12 = -3*w - 4*q + 70. Let i = -22 + w. Suppose i*o = -940 + 2936. Is o a composite number?
False
Let y(t) = -3*t**2 - 5*t - 3. Let c be y(-2). Is (-3945)/c + 1 + -3 prime?
True
Suppose -4*j + 14 + 2 = 0. Let p(u) = -51*u**3 - 7*u**2 - 16*u - 21. Let z be p(-5). Suppose z = 5*n + j*f, -1 - 3 = f. Is n a prime number?
False
Suppose -5*n + 24 = -9*n. Let i(r) be the second derivative of -4*r**3/3 - 11*r**2/2 - r. Is i(n) a prime number?
True
Suppose -71727 = -r - 2*k, -174*k - 215216 = -3*r - 173*k. Is r a prime number?
False
Is 13/((-91)/(-42)) + (-35195)/(-1) a prime number?
True
Let z(b) = b**2 + 47*b - 129. Is z(30) a prime number?
False
Suppose 0 = -376*s + 373*s + 225195. Is s a prime number?
False
Suppose 2*j + 10 = 4*a, -j - a + 6*a = 17. Suppose 2*x = 5*o - 2493, -j*x = -2*o + 954 + 52. Is o a prime number?
False
Let f be (23556/130)/((-2)/(-10)). Let a = f - 173. Is a prime?
True
Let y = 10337 + -1962. Let m be (-1)/(y/2095 + -4). Is (-10 - -11)/(1/m) prime?
True
Let v(s) = 131*s - 31. Let q be v(3). Suppose -f + 191 = -q. Is f composite?
True
Suppose 2*d = -6 + 34. Let i(p) = -p + 1. Let x(v) = 9*v + 15. Let j(b) = 4*i(b) + x(b). Is j(d) composite?
False
Let g(l) = -93*l**3 - l**2 - l. Let t(a) = -a**3 + 4*a**2 - 5*a + 1. Let m be t(2). Is g(m) composite?
True
Let p(u) = 1361*u**3 - u**2 - 13*u + 40. Is p(3) a prime number?
True
Let o = 23 - 22. Suppose o = 6*y - 11. Suppose -y*p + 4*p = 148. Is p a composite number?
True
Let i = -4 - -7. Suppose -i*u = 2*u - 10. Suppose -u*x - 305 = -3*x. Is x prime?
False
Let v(z) = 389*z - 17. Let f be v(-3). Let g = -679 - f. Is g a prime number?
False
Suppose 4*l - 2 = 2*l. Let f be l/(4/10)*2. Suppose y - 2 - 2 = -3*t, t = -f. Is y prime?
True
Let y(t) = 3*t - 26. Let f be y(10). Suppose 2*s = f*q + 112, 2*q - 53 = -s + 5*q. Is s a prime number?
False
Is (48171*6/(-18))/(5/(-5)) composite?
False
Let f(v) = v**2 + 10*v - 2. Let r be f(-8). Let c be (-81)/r - 6/4. Suppose -110 = -c*d + 517. Is d a composite number?
True
Let x(g) = 27*g**2 - 13*g - 10. Let q be x(8). Is -5*(q/(-10))/3 a prime number?
True
Let o = 5907 - -898. Is o a composite number?
True
Let c(v) = -26*v**2 + 13*v - 9. Let p(r) = r - 1. Let y(o) = c(o) - 6*p(o). Let f be y(7). Is (-2 - f)/(1 - -1) prime?
True
Let p(o) be the second deriva
|
{
"pile_set_name": "DM Mathematics"
}
|
imes 11.68
-3.504
-0.2914 times -4
1.1656
-0.319*-0.4
0.1276
What is the product of -0.3 and -1.67?
0.501
Calculate -0.4*-1.39.
0.556
What is 2219 times 0.4?
887.6
Calculate 4*61.
244
1670 * -0.8
-1336
Multiply -9 and -4.1.
36.9
10 * 0.712
7.12
Work out -22.5 * 0.3.
-6.75
-5 * 3.4
-17
158 times 1
158
0.1 * -1.39
-0.139
Calculate 2.3*-0.22.
-0.506
9 * 106
954
What is -11 times 20?
-220
Multiply -0.4 and -265.
106
0.26 times 90
23.4
Work out 2 * -81.
-162
Calculate -26*0.7.
-18.2
24 * 0.3
7.2
What is the product of 20 and -34?
-680
-4 * 194
-776
-8.99 * -0.2
1.798
Work out -9 * 6.
-54
Product of 19730 and -2.
-39460
Work out 1.9 * 2.
3.8
Calculate -3*135.
-405
-302 times -0.5
151
Product of -0.046 and -0.4.
0.0184
What is -1.47 times -0.09?
0.1323
1 times 0.7
0.7
-4.24 * -0.5
2.12
Multiply 14 and -198.
-2772
-1 times 145
-145
Work out 0.7 * -0.42.
-0.294
Work out -31 * -0.051.
1.581
What is 1.48 times 0.061?
0.09028
Multiply -0.19 and 67.
-12.73
-0.0471 times 0.2
-0.00942
2 * -71
-142
0.044*-155
-6.82
2.41 times -1
-2.41
1 * -0.14
-0.14
Multiply 5 and 2.56.
12.8
-0.3*4337
-1301.1
234 times 2
468
Calculate 1469*-0.02.
-29.38
Multiply 119 and 55.
6545
What is -28 times -6?
168
0.1 times -0.025
-0.0025
-3*-0.16
0.48
Work out 5 * 51.
255
What is the product of -0.4 and -532?
212.8
-5*0.9309
-4.6545
Calculate 0.3*-0.49.
-0.147
Work out -463 * 0.
0
-2 times -779
1558
119*5
595
Multiply 6 and -0.149.
-0.894
Product of -507 and -2.1.
1064.7
Multiply 1.01 and 5.
5.05
0.5*-0.0318
-0.0159
-42*43.4
-1822.8
Calculate -5*78.
-390
What is the product of -2.91 and 4?
-11.64
2.013 * -0.3
-0.6039
-215 times 0.1
-21.5
55 * 0.4
22
What is -341 times 13?
-4433
Work out -7 * 72.
-504
Product of 0 and -412.
0
Product of 0.1 and -2.91.
-0.291
What is the product of -17 and 27?
-459
0.1*-6040
-604
Work out -0.21 * 3.1.
-0.651
What is 88.9 times 19?
1689.1
What is the product of 54 and -1?
-54
-5 * 6.8
-34
Calculate -0.11*-5.34.
0.5874
0.0577*40
2.308
0.01277 * -1
-0.01277
Calculate 14*2.9.
40.6
What is the product of 2 and 0.6?
1.2
7 times 5299
37093
-128 times -10
1280
What is 7 times 0.14?
0.98
What is the product of -0.5 and 49?
-24.5
What is the product of 7 and -1.1?
-7.7
Work out -0.5 * -0.004.
0.002
Calculate -0.8*148.
-118.4
28*0.06
1.68
Multiply 2158 and -3.
-6474
What is 0.297 times -2?
-0.594
2.06 times -3
-6.18
-51*-4
204
Multiply 3 and 0.52.
1.56
Product of 0.4 and 0.0285.
0.0114
-5 * 135
-675
9 * 206
1854
What is the product of 0.1 and 5.53?
0.553
0.5 times -0.4
-0.2
12 times 0.041
0.492
Calculate 55*-3.6.
-198
-1759 times 0.8
-1407.2
What is the product of 34 and -4?
-136
Calculate 163*0.1.
16.3
Work out 0.0173 * 2.
0.0346
0.14*6
0.84
0.01*377
3.77
-0.03 times -0.02004
0.0006012
-0.06 * 1
-0.06
Calculate 4*1000.
4000
-34 * -1.05
35.7
-1.7*-0.14
0.238
-171 times -6
1026
-1*-37
37
Calculate -0.01*-5.
0.05
Multiply 0.8 and 5.4.
4.32
What is the product of 0.049842 and 0?
0
Work out 3.5 * -3.
-10.5
Product of 8.9 and -3.5.
-31.15
-0.4 times -165
66
Work out 98 * 5.
490
What is the product of -0.6 and -0.087?
0.0522
Calculate 0.115*-0.3.
-0.0345
Multiply 0.1 and 5.4.
0.54
9 * 0
0
-136 * -24
3264
Work out 0.002 * -0.1.
-0.0002
Product of -0.2 and -0.27.
0.054
-274 * 0.5
-137
105 times -19
-1995
Work out 33 * -4.
-132
Work out 5 * -0.241.
-1.205
-1.369 * 0.3
-0.4107
Calculate -7.7*-0.53.
4.081
What is the product of -1.1 and -0.04?
0.044
-92.8 * -3
278.4
Multiply -0.2 and -4.3.
0.86
Work out -110 * -5.
550
-17 times -27
459
Work out 30 * -0.6.
-18
0.43*-6
-2.58
-4429 times 0.4
-1771.6
Calculate 7*62.
434
19*490
9310
Multiply 0.1 and -2350.
-235
-39 * 0.02
-0.78
-21*0.95
-19.95
What is 53 times 2?
106
Multiply -0.249 and -8.
1.992
What is the product of 162 and -17?
-2754
Calculate -5*18.
-90
-3 times 2367
-7101
4 times -0.81
-3.24
-0.1 times 2020
-202
What is 0.2 times 0.056?
0.0112
-0.03409 * -0.3
0.010227
0.13 times 53
6.89
What is the product of 14.7 and -1.4?
-20.58
9*0.42
3.78
Work out 0.1 * -18.
-1.8
Product of -36 and -0.4.
14.4
Product of 298.3 and -2.
-596.6
1.2 * 22
26.4
113 * -1
-113
1.1 times 0.038
0.0418
Multiply -137 and -0.061.
8.357
-1919 * -0.1
191.9
1.5*0.41
0.615
Calculate -13*0.44.
-5.72
11*-0.05
-0.55
Multiply 335 and -0.001.
-0.335
-0.1*-0.041
0.0041
53.8 times 0.3
16.14
Work out 4 * 4.88.
19.52
What is the product of -0.3 and -0.0003?
0.00009
3064*3
9192
What is 336 times 2?
672
Multiply -600 and 0.4.
-240
Multiply 602 and 4.
2408
What is the product of 11055 and 1?
11055
Work out -1316 * -3.
3948
-27 times -0.078
2.106
Multiply -0.3 and 2.5.
-0.75
0.03*-0.066
-0.00198
Product of -0.43538 and 4.
-1.74152
What is 0.3 times -0.153?
-0.0459
What is -20 times 20?
-400
Work out 0.09798 * 0.5.
0.04899
What is 350 times -1?
-350
What is the product of 276 and 5?
1380
Product of 0 and -4.17.
0
-817 * -5
4085
Work out 129 * 3.
387
What is -1 times -5?
5
What is -0.02 times -825?
16.5
What is the product of -8136 and -1?
8136
Work out 180 * 0.
0
-8 * -0.62
4.96
Work out -23 * -343.
7889
Multiply 1.23 and 0.088.
0.10824
Calculate -4.8*-36.
172.8
0.8*15.2
12.16
What is -80 times 16?
-1280
Multiply -10 and -8.64.
86.4
What is 4407 times -0.3?
-1322.1
Work out -89 * -2.
178
-20.84*-0.4
8.336
Multiply 496 and 0.4.
198.4
What is the product of 160 and 0.1?
16
-1780 * 0.11
-195.8
Multiply -1 and 1601.
-1601
Multiply 111 and 0.4.
44.4
-21*0.2
-4.2
2*0.0341
0.0682
What is the product of -0.09 and -0.16?
0.0144
-8.1 * 0
0
Calculate 62*-0.098.
-6.076
What is 18 times 7?
126
What is the product of -0.2 and 0.328?
-0.0656
Multiply -0.2 and 126.
-25.2
0.5 times -442
-221
Calculate -11*1.3.
-14.3
Calculate -0.4*60.
-24
Product of -0.1 and 0.07.
-0.007
Work out 0.5 * -0.084.
-0.042
What is the product of -22 and 5?
-110
0.25 times -0.37
-0.0925
Calculate -0.4*-46.65.
18.66
Work out -58.55 * 2.
-117.1
Work out 1 * 14.
14
Calculate 16.5*1.6.
26.4
Multiply 5 and 354.
1770
Calculate -0.117*2.
-0.234
What is the product of -0.4 and 1?
-0.4
Product of 81.8 and -0.3.
-24.54
0.4*-0.46
-0.184
Work out -0.2 * -0.0551.
0.01102
Product of 2524 and -0.1.
-252.4
Work out 0.273 * -1.
-0.273
-22.9 times -21
480.9
3458 * 4
13832
Calculate 0.132*2.
0.264
0.1 * -6
-0.6
Calculate -972*14.
-13608
Multiply -0.1 and -0.21.
0.021
What is 0 times -798?
0
-125*0.156
-19.5
What is the product of -22 and -243?
5346
Calculate 0*0.47.
0
What is -4 times 0.23?
-0.92
Multiply -39 and 4.
-156
-4163 * -5
20815
0.93 * 5
4.65
Work out 0.1 * 154.9.
15.49
83*6
498
Calculate 0.3*1.
0.3
0.028 times -39
-1.092
What is -19 times 47.7?
-906.3
Multiply 1.4 and 8.
11.2
Multiply -0.2 and 0.4.
-0.08
What is the product of 542 and 5?
2710
-2.4 * -3.7
8.88
What is 62 times 0.3?
18.6
0.6 * 4.1
2.46
Multiply 31 and 100.
3100
47 * 10
470
9 times 0.09
0.81
Calculate -0.0462*7.
-0.3234
-1647*0.1
-164.7
Product of -28 and -6.
168
Calculate 0.3*1932.
579.6
-2.82 * -2
5.64
Multiply 5.16 and 4.
20.64
0.22 times -0.0434
-0.009548
-482 times -5
2410
Product of 1 and -230.
-230
448*0.14
62.72
What is 78 times -0.5?
-39
What is the product of -0.1 and 30?
-3
What is 31 times -0.46?
-14.26
Multiply -0.3 and 2261.
-678.3
-86*-0.6
51.6
-0.06 * -31.6
1.896
What is 2.4 times 62?
148.8
3*-1006.6
-3019.8
Product of 0.4 and -0.32.
-0.128
0.093 * -30
-2.79
0.2*1315
263
Work out 15 * -17.
-255
-4 * 0.1225
-0.49
What is the product of -15820 and 0.1?
-1582
Work out 3 * -0.027.
-0.081
What is -9 times -0.16?
1.44
Product of 133 and -1.
-133
Product of 3.26 and -0.4.
-1.304
Calculate -0.5*-2.44.
1.22
-5 * -178
890
Product of 1428 and 5.
7140
Product of 0 and 5.8.
0
What is the product of 11355 and -0.3?
-3406.5
Product of 0.29 and 134.
38.86
Calculate -0.4*-1.57.
0.628
Product of -1317 and -0.4.
526.8
-3.1 * 76
-235.6
Work out -0.07 * -1.7.
0.119
Calculate 0.2*63.
12.6
Product of 0.2143 and 2.
0.4286
What is 8 times 0.14?
1.12
3*1.3
3.9
Calculate -2341*0.2.
-468.2
-7 times -0.5
3.5
Multiply 178 and 0.2.
35.6
-3128 * -1
3128
-3*-511
1533
-0.17*-2
0.34
What is the product of -208.3 and -0.4?
83.32
What is -4.32 times -0.3?
1.296
207 times 7
1449
Work out -0.1 * -0.27.
0.027
-4 * -65.2
260.8
9 times 157
1413
Product of 7 and 0.19.
1.33
2.353 * 1
2.353
What is the product of -0.2 and -0.377?
0.0754
Calculate 0.5*-147.
-73.5
What is the p
|
{
"pile_set_name": "DM Mathematics"
}
|
ase 15
6e
What is 511 (base 15) in base 5?
14031
Convert -1796 (base 13) to base 6.
-24115
What is 202 (base 11) in base 15?
114
Convert 82 (base 11) to base 9.
110
What is 1b8 (base 12) in base 9?
345
What is 2c19 (base 15) in base 13?
440a
21982 (base 10) to base 13
a00c
Convert -331 (base 12) to base 15.
-214
40221 (base 5) to base 2
101000000001
-24598 (base 10) to base 12
-1229a
-1c4a2 (base 13) to base 5
-3240413
-43565 (base 7) to base 8
-25255
What is 5043 (base 6) in base 3?
1112000
What is -451 (base 14) in base 4?
-31113
Convert 761 (base 11) to base 14.
494
Convert -205530 (base 6) to base 2.
-100000110111110
Convert 13 (base 16) to base 11.
18
10100001011011 (base 2) to base 3
112011122
What is 94dd (base 15) in base 13?
1143a
What is -788 (base 9) in base 8?
-1207
Convert 101355 (base 7) to base 12.
a049
What is 152250 (base 8) in base 2?
1101010010101000
Convert 2050 (base 6) to base 11.
390
What is -1c2 (base 15) in base 6?
-1515
-3613 (base 8) to base 5
-30211
What is -303132 (base 4) in base 7?
-12414
Convert 212350 (base 8) to base 10.
70888
What is 1621 (base 8) in base 6?
4121
101 (base 10) to base 9
122
-16252 (base 7) to base 13
-2125
What is 41624 (base 7) in base 11?
7787
What is d7 (base 16) in base 14?
115
What is -3614 (base 7) in base 3?
-1211102
Convert 13020 (base 4) to base 7.
1221
What is 20084 (base 11) in base 5?
1414444
Convert -5178 (base 12) to base 9.
-13152
Convert -2103331 (base 4) to base 11.
-7129
14b (base 14) to base 12
19b
3365 (base 8) to base 10
1781
Convert 110010100111010 (base 2) to base 9.
38483
Convert -30022222 (base 4) to base 6.
-1022414
What is 15610 (base 8) in base 11?
5328
Convert -6b0 (base 12) to base 2.
-1111100100
What is 10105 (base 7) in base 14?
c75
1b9e (base 16) to base 14
2810
Convert 1121011 (base 3) to base 14.
5d3
1543 (base 6) to base 2
110100111
What is -11010 (base 2) in base 11?
-24
What is 100001010 (base 2) in base 5?
2031
Convert -10101001000100 (base 2) to base 7.
-43355
Convert -2282 (base 12) to base 11.
-2983
-101 (base 5) to base 9
-28
What is 1435 (base 10) in base 6?
10351
Convert 32672 (base 8) to base 2.
11010110111010
-1111000011 (base 2) to base 11
-7a6
225 (base 6) to base 4
1121
Convert -244 (base 13) to base 9.
-477
-1120221102 (base 3) to base 9
-46842
Convert -647 (base 8) to base 15.
-1d3
10220020 (base 3) to base 6
21053
Convert -55a0 (base 11) to base 3.
-101002222
-20340 (base 6) to base 5
-41344
Convert -2723 (base 10) to base 15.
-c18
What is -122302 (base 4) in base 5?
-23324
8146 (base 13) to base 11
12415
What is 575 (base 8) in base 16?
17d
-3022303 (base 4) to base 6
-140031
e0 (base 16) to base 3
22022
Convert -112210222 (base 3) to base 9.
-15728
Convert 29b (base 16) to base 15.
2e7
Convert -21201 (base 6) to base 5.
-43011
What is -1336 (base 7) in base 13?
-30a
-634 (base 8) to base 15
-1c7
6568 (base 14) to base 4
10102000
9123 (base 14) to base 11
177a8
-3216 (base 11) to base 2
-1000010011100
Convert 23013 (base 4) to base 3.
222100
-142501 (base 6) to base 8
-32405
4112 (base 6) to base 8
1614
-55638 (base 9) to base 7
-212534
-10103 (base 4) to base 6
-1135
What is 22552 (base 7) in base 10?
5770
What is 33 (base 8) in base 16?
1b
Convert ba4 (base 14) to base 5.
33200
Convert -131521 (base 6) to base 4.
-2330221
What is 32013 (base 5) in base 12?
1299
What is -35 (base 9) in base 5?
-112
-117 (base 9) to base 14
-6d
What is -104131 (base 5) in base 10?
-3666
3021 (base 14) to base 16
2045
What is -359e (base 15) in base 6?
-124435
-155650 (base 8) to base 7
-322641
Convert -23740 (base 13) to base 16.
-fdb4
18a0 (base 15) to base 16
14cd
4749 (base 15) to base 13
6b7c
Convert 1010211212 (base 3) to base 9.
33755
Convert -687 (base 9) to base 10.
-565
What is -3225 (base 7) in base 14?
-5bc
Convert 24133 (base 5) to base 6.
12145
-110111000111000 (base 2) to base 3
-1102201001
What is -95a (base 13) in base 14?
-820
What is 201432 (base 5) in base 8?
14534
Convert 70b (base 13) to base 6.
5310
What is 11582 (base 10) in base 5?
332312
Convert -22302032 (base 4) to base 5.
-2403144
-5075 (base 14) to base 15
-4168
Convert -6020 (base 9) to base 16.
-1128
What is -62d (base 14) in base 5?
-14332
Convert -38520 (base 10) to base 14.
-10076
-16 (base 10) to base 8
-20
What is 775 (base 11) in base 6?
4145
11100010111 (base 2) to base 3
2111020
Convert -128376 (base 9) to base 10.
-78315
246 (base 9) to base 15
d9
What is 410 (base 6) in base 2?
10010110
Convert 2012020 (base 3) to base 15.
719
What is 100001110111 (base 2) in base 8?
4167
What is 1180 (base 14) in base 13?
150a
What is -10011101010000 (base 2) in base 14?
-394c
Convert 210 (base 6) to base 2.
1001110
Convert -a37 (base 15) to base 9.
-3137
What is -24 (base 6) in base 14?
-12
Convert 101034 (base 5) to base 10.
3269
What is 5662 (base 10) in base 9?
7681
What is 346 (base 8) in base 6?
1022
What is 64e0 (base 16) in base 13?
b9a6
Convert 60b8 (base 12) to base 13.
4a24
What is 7a8 (base 13) in base 12?
921
1aa (base 11) to base 8
361
What is -537 (base 11) in base 16?
-285
What is -106224 (base 7) in base 4?
-10220211
Convert 44c (base 15) to base 4.
33030
4889 (base 13) to base 8
24015
Convert -4 (base 6) to base 2.
-100
20110 (base 8) to base 3
102100002
Convert 1553 (base 10) to base 12.
a95
What is -213123 (base 4) in base 3?
-10110110
What is -10010000011111 (base 2) in base 9?
-13614
What is -86c (base 13) in base 9?
-1872
What is -2372 (base 13) in base 6?
-35042
What is -10 (base 13) in base 11?
-12
What is 305 (base 7) in base 13?
b9
-346d (base 15) to base 2
-10101101111000
What is -13a (base 13) in base 2?
-11011010
What is 23591 (base 12) in base 2?
1011100101111101
What is 2a2b (base 12) in base 3?
20202122
What is -704 (base 13) in base 4?
-102203
1111101110 (base 2) to base 9
1337
-145 (base 16) to base 5
-2300
Convert -202211 (base 3) to base 9.
-684
What is 1441220 (base 5) in base 13?
11040
What is 1534 (base 8) in base 12?
5b8
720 (base 9) to base 16
249
What is 17533 (base 8) in base 2?
1111101011011
102110200 (base 3) to base 12
4a09
Convert -2dc6 (base 14) to base 15.
-2675
What is -736 (base 9) in base 7?
-1515
What is -11113203 (base 4) in base 9?
-33140
Convert 97 (base 16) to base 11.
128
3304 (base 7) to base 12
824
-1203030 (base 4) to base 13
-2b74
Convert 6460 (base 7) to base 14.
ba0
5372 (base 10) to base 7
21443
Convert e90 (base 16) to base 15.
1188
Convert -101000001010 (base 2) to base 8.
-5012
Convert -1381 (base 15) to base 3.
-12201111
Convert 223020 (base 5) to base 12.
4691
Convert 13323 (base 7) to base 11.
2778
-112200002 (base 3) to base 2
-10100111000110
-2430 (base 7) to base 15
-403
Convert 222222 (base 3) to base 5.
10403
What is -3a1 (base 14) in base 2?
-1011011001
-6a1 (base 14) to base 15
-5cc
What is 355 (base 10) in base 3?
111011
Convert 36916 (base 10) to base 8.
110064
-10010 (base 4) to base 9
-318
Convert -7787 (base 12) to base 9.
-20104
Convert 38aa (base 11) to base 10.
5081
40 (base 12) to base 13
39
-4223 (base 5) to base 2
-1000110011
5082 (base 9) to base 11
2881
What is -1648 (base 12) in base 15?
-bb8
Convert -a9cb (base 13) to base 3.
-1012110020
Convert -21005 (base 6) to base 13.
-1385
Convert 2201221 (base 3) to base 15.
8d1
-3043040 (base 5) to base 3
-2112021100
-6357 (base 10) to base 2
-1100011010101
-529 (base 11) to base 13
-39c
526 (base 16) to base 9
1724
-232112 (base 4) to base 14
-111c
What is 101010001101 (base 2) in base 16?
a8d
Convert 28d (base 16) to base 8.
1215
Convert 483 (base 9) to base 14.
207
Convert 111323 (base 4) to base 16.
57b
Convert -6cd9 (base 14) to base 15.
-5972
1556 (base 7) to base 8
1165
Convert b67 (base 16) to base 6.
21303
What is -26 (base 13) in base 4?
-200
Convert -3b8 (base 13) to base 2.
-1010010010
What is 625 (base 12) in base 7?
2414
What is 200102 (base 3) in base 7?
1310
What is -15089 (base 11) in base 12?
-10469
What is ac2 (base 13) in base 11?
1430
-1212 (base 5) to base 13
-110
2012332 (base 4) to base 11
6543
8cc1 (base 13) to base 16
4d31
Convert 1a19 (base 13) to base 8.
7505
What is -30231 (base 5) in base 2?
-11110010101
Convert -1416 (base 8) to base 10.
-782
6a2 (base 12) to base 9
1315
Convert -314e (base 15) to base 12.
-6048
|
{
"pile_set_name": "DM Mathematics"
}
|
et x(w) be the second derivative of w**5/20 + w**4/4 - 7*w**3/2 + 11*w**2/2 + 2*w + 32. List the prime factors of x(8).
547
Let n = -27948 - -49776. List the prime factors of n.
2, 3, 17, 107
Let p(k) = k**2 + 19*k + 29. Let w be p(-20). List the prime factors of -2 + w/35 - 273/(-5).
2, 3
Let x(k) = 35*k**2 + 181*k + 1208. List the prime factors of x(-47).
2, 547
Let r(q) = 2*q**3 - 8*q**2 + 9*q - 5. Let l be (-10)/(-6)*(-6)/(-2). Let v be r(l). List the prime factors of (-63)/(-5) - (-36)/v.
13
Suppose d + 5*z = 1021, 6*d + 1015 = 7*d - z. Suppose -9*y + d = 53. List the prime factors of y.
107
Suppose 3*h - 47 = -8. Suppose 18*g - h*g = 1000. List the prime factors of g.
2, 5
Let q = -114 + 114. Suppose -2*b - 12*m + 25 = -15*m, q = 2*b + 2*m. Suppose 2*z + z + b*o - 461 = 0, -3*z - o = -469. List the prime factors of z.
157
Suppose -106417 - 120433 = -26*b. What are the prime factors of b?
5, 349
Let l = -9376 + 12514. List the prime factors of l.
2, 3, 523
Let o(z) = -z + 9. Let m be o(13). Let y(q) = -2 - 17*q - 6*q + 1. List the prime factors of y(m).
7, 13
Let v(j) = -j**3 + 2*j**2 + 7*j + 6. Let t be v(-2). List the prime factors of (-3198)/(-24) + (-2 - (-14)/t).
7, 19
Suppose 0 = -10*i + 47128 + 6506 + 65876. What are the prime factors of i?
17, 19, 37
Let p be -1 + ((-30)/(-18))/(1/3). Let x(o) be the first derivative of 7*o**2/2 - 14*o + 3. What are the prime factors of x(p)?
2, 7
Let b(l) = l**2 + 5*l - 37. Let r be b(-9). Let j = 417 + r. What are the prime factors of j?
2, 13
Let q(h) = 9*h**2 - 17*h - 29. Let o(m) = -2 - 3*m**2 + 7 - m**2 + 9*m + 9. Let g(y) = -5*o(y) - 2*q(y). List the prime factors of g(9).
3, 17
Let b(o) = -955*o**3 - 16*o**2 + 36*o + 117. List the prime factors of b(-3).
2, 3, 5, 19
Let w = 859 - -650. Suppose -t = -3*d - 1004, 2*t + 3*d = 490 + w. List the prime factors of t.
7, 11, 13
List the prime factors of (4215/(-9))/((-7)/(-12)*2/(-28)).
2, 5, 281
Let h(d) = -d**3 - 17*d**2 + 20*d + 125. What are the prime factors of h(-23)?
17, 167
Let y be (16 - 20)*62/(-8). Suppose 11343 = -12*l + y*l. What are the prime factors of l?
3, 199
Let j be (-1 + 3)*-1 - -819. Let y = -51 + j. Suppose y = 12*i - 374. List the prime factors of i.
5, 19
Let j = -9986 - -19351. List the prime factors of j.
5, 1873
Suppose 5*o + 495 = 6*o + 5*t, 0 = 3*o + 4*t - 1463. List the prime factors of (-6 + o/(-10))*(2 - 4).
109
Let u = -9124 - -15995. What are the prime factors of u?
6871
Suppose -3*p - 2*p - 6705 = -5*f, 5 = -5*p. Suppose 2*b = -5 + 13, 5*h - f = -5*b. List the prime factors of h.
2, 3, 11
List the prime factors of 27/6*(-279664)/(-252).
2, 11, 227
Suppose 2*r + 2*a - 92 = 0, 4*r + 3*a = -r + 234. Suppose -h + 8 = n - 15, 3*h - n = 49. Let w = h + r. What are the prime factors of w?
2, 3, 11
Let u = 49 + -35. Let q = u - 20. Let c = q - -14. What are the prime factors of c?
2
Let m(r) = -6*r + 87. Let h(p) = -2*p + 29. Let x(y) = 8*h(y) - 3*m(y). Let l be x(12). What are the prime factors of (-2)/((40/372)/l)?
3, 31
Suppose -4*g + 3*u + 133 = 4*u, -3*g - 4*u + 116 = 0. Let x be (-81)/4*g/(-6) + -1. Suppose k = -40 + x. What are the prime factors of k?
67
Suppose -126*b + 711378 = 135625 - 2364583. What are the prime factors of b?
2, 2917
Let r(s) be the second derivative of -s**5/30 + s**4/24 + 30*s**3 + 2*s**2 - 11*s. Let m(z) be the first derivative of r(z). List the prime factors of m(0).
2, 3, 5
List the prime factors of (-5 - 0) + 24 + 1766 + -6.
3, 593
Let v(z) = 6494*z + 122. What are the prime factors of v(2)?
2, 3, 5, 19, 23
Let n(c) = 12*c**2 + 58*c - 10. List the prime factors of n(15).
2, 5, 89
Let q = 175 - 162. List the prime factors of (q/13)/((-1)/(-445)).
5, 89
Let y(s) = -s**3 + 12*s**2 + 10*s - 4. Let g be y(13). Let p = 52 + g. Suppose -6*r + 399 = -p. What are the prime factors of r?
2, 17
Suppose 98*r - 126290 - 158596 = 0. What are the prime factors of r?
3, 17, 19
Let d(m) = -129*m**2 + 23 - 92 - 9*m + 130*m**2. List the prime factors of d(22).
7, 31
Suppose -6*o + 3*h = -3*o - 228, 0 = -2*h + 8. Let d = 62 - o. Let s = 34 - d. List the prime factors of s.
2, 13
Let n(d) be the third derivative of 0 + 0*d - d**4 - 7/6*d**3 - 1/60*d**5 - 2*d**2. List the prime factors of n(-21).
2, 7
Let v(l) = -21*l**3 - 2*l**2 + 6. What are the prime factors of v(-5)?
29, 89
Let g(b) = 6*b**2 + 5*b + 2. Let i be g(4). Suppose -j = 4*x - 29 + 353, 5*x + 404 = -j. Let y = x + i. List the prime factors of y.
2, 19
Let l(c) = c**3 + 13*c**2 + 11*c - 10. Let v be l(-12). Suppose 2*p = -v*p + 16, -4*k + 628 = 5*p. Suppose -k + 717 = 5*w. List the prime factors of w.
113
Let c = 2513 + 1437. List the prime factors of c.
2, 5, 79
Let t(w) be the third derivative of w**5/120 + 7*w**4/8 + w**3/2 + 16*w**2. Let s(v) be the first derivative of t(v). List the prime factors of s(5).
2, 13
List the prime factors of (-367932)/(-144) + 4/(-48).
5, 7, 73
Let v = 41365 + -18741. List the prime factors of v.
2, 7, 101
Let j(r) = 2*r**3 - 11*r**2 + 79*r + 1. List the prime factors of j(16).
29, 229
Suppose -18 = 20*p - 26*p. Suppose -3*x = 9, p*x = -i + 18 + 5. What are the prime factors of i?
2
Let f = -4620 - -9639. List the prime factors of f.
3, 7, 239
Let b = -28871 + 53157. What are the prime factors of b?
2, 12143
Let h be 4/18 + (-27842)/(-18). Suppose 3439 = 5*j - 3*s - h, -4*s = 8. Suppose 3*m + 3*m - j = 0. What are the prime factors of m?
2, 83
What are the prime factors of (22015 - 1) + 280/(31 - 59)?
2, 5501
Suppose -f - 368937 = -4*r, 6*r - 11*r + 3*f = -461173. What are the prime factors of r/(-107)*(-2)/(0 + 2)?
2, 431
Let s be (-649020)/70 + 6/(-21). List the prime factors of (-4)/30 + -4 + s/(-15).
2, 307
Suppose 485*r - 11103967 = 9986258. List the prime factors of r.
3, 5, 13, 223
Suppose -3*l + 35177 = -4*k, 3*k = -2*l + 7*l - 58632. List the prime factors of l.
3, 1303
Let y(j) = 7779*j**2 + 292*j + 885. List the prime factors of y(-3).
2, 3, 5, 389
Let d(y) = -193*y - 22. Let k be d(2). Let h = -181 - k. List the prime factors of h.
227
Suppose 0 = 22*b - 21*b - 6. Suppose 15 = -b*y + 81. Suppose -7*x + y*x - 228 = 0. What are the prime factors of x?
3, 19
Let m(y) = -y + 7. Let c be m(-15). Let h = c + -19. Suppose -h*p - 2*r + 80 = 0, r - 102 = -4*p + 3*r. List the prime factors of p.
2, 13
Let v = 3152 - 47. Let j = v + -1710. List the prime factors of j.
3, 5, 31
Let s(o) = -51*o**3 + 33*o**2 + 385. List the prime factors of s(-11).
11, 6569
Let y(n) = 84*n**2 - 26*n - 116. Let o be y(-5). Suppose -22*v + o = -20*v. What are the prime factors of v?
7, 151
Let d(n) = -232*n + 119. Let b be d(-6). Suppose -2*v + 1548 = -3*t + 549, -b = -3*v + 2*t. What are the prime factors of v?
3, 13
What are the prime factors of -41094*(14 + 340/(-24))?
3, 761
Suppose 0 = -129*l + 15317 + 164380. What are the prime factors of l?
7, 199
Suppose -5*j - 3*a = -57726, -3*a - 14750 = -j - 3212. What are the prime factors of j?
2, 3, 13, 37
Suppose -5*q + 4 - 19 = -4*h, -25 = -4*h - 5*q. Suppose 2*w + 3*c = -w - 96, 4*w - h*c = -110. Let r = 36 + w. What are the prime factors of r?
2, 3
Suppose -z + 4 = h - 0*z, h + 5*z + 16 = 0. Let m be h/6 + 3 - (-3)/6. Suppose 3*b - m = 4, -5*s + 4*b + 683 = 0. What are the prime factors of s?
139
Let o(y) = 9*y**2 + 4. Let x be o(-2). Suppose -l - v + x = 3*v, 2*v + 50 = 3*l. Let c = l + 63. List the prime factors of c.
83
Suppose 17409 = 5*o + 2*u, 12*u = -3*o + 8*u + 10451. Suppose 5*r + 2*f - o = 0, -5*f = -r + 4*r - 2100. List the prime factors of r.
5, 139
Let r be (2*2)/((-8)/(-580)). List the prime factors of r/(-12)*60/(-10).
5, 29
Let s(a) = 128*a + 9. Suppose -5*g = -3 - 7. Let h be s(g). Suppose h = -4*y + 713. List the prime factors of y.
2, 7
Let n(m) = -m**3 - 15*m**2 + 14*m - 29. Let h be n(-16). Suppose -h*t - 7 = 4*f + 15, 5*f = 3*t - 14. List the prime factors of 198/(-55)*55/t.
3, 11
List the prime factors of (4/(-6))/((-79)/1013649).
2, 7, 13, 47
Let k = 19892 - 3327. What are the prime factors of k?
5, 3313
Suppose -42*k + 6 = -40*k. Suppose -5*d - 16 = -4*l, -k*d - 8 = -3*l + 4. Suppose -168 = -c - 3*j, -4*c + 4*j - 9*j + 686 = d. List the prime factors of c.
2, 3, 29
Let g = 171 - 167. Suppose 3*z - 6 = 0, -g*z + 1289 = 3*u - 0*z. List the prime factors
|
{
"pile_set_name": "DM Mathematics"
}
|
r of t and w.
35
What is the common denominator of ((-4)/(-40) - 0)/(4*(-44)/408) and 83/80?
880
Let p = 499 - 426. Suppose -6*s + 11 = -p. Suppose 4*c + 78 = 5*l, -5*l + c - 4*c = -64. What is the lowest common multiple of l and s?
14
Let i(f) = -f**3 - 5*f**2 - f - 3. Let o be i(-5). Suppose -o + 9 = 4*k - 5*t, k = 3*t. Calculate the least common multiple of (-23 + 31 - (-1 + 4)) + 47 and k.
156
Let q = -10993757/132 - -83287. Find the common denominator of 68/231 and q.
924
Let l = -230 + 470. Suppose l = 8*n + 7*n. Calculate the least common multiple of 254 and n.
2032
Let r(p) = -168*p**2 - 3117*p + 40. Calculate the least common multiple of 5142 and r(-18).
5142
Let i(x) = 7*x - 28. Let u be i(4). Calculate the common denominator of 65/8 and (0 - (u - 2))*2/(-48).
24
Calculate the smallest common multiple of 2016 and (-35)/5 + -5 + -9 + 133.
2016
Calculate the smallest common multiple of 5534 and (-75)/(-50) - 15/(-2).
49806
Let h = 13 + -11. Suppose -58 = h*d - 0*d. Let s = 39 + d. What is the least common multiple of s and 6?
30
Suppose -4*z - 17*z + 502 = 82. What is the smallest common multiple of 10788 and z?
53940
Let f = 142 - 1558/11. Find the common denominator of (119/272)/(6/(-104)) and f.
132
Let k(l) = l**2 + 15*l - 10. Calculate the smallest common multiple of ((1 - -4)*-1)/(10/(-36)) and k(-16).
18
What is the common denominator of (-234)/52*(-4 + (-354)/(-63)) and 13/518?
518
Let q = 1336450501178933/409518926908680 + -2/20050867945. Let k = q - -24/851. Find the common denominator of (6/(-32))/(4/(-208)) and k.
24
Let g = -78459/20 + 3922. Let s = -267396479/498 + 536941. Calculate the common denominator of s and g.
4980
Let x = 23246 + -22376. Calculate the least common multiple of 1421 and x.
42630
Let m = 71709199/76335 + -20/15267. Let x = m - 943. Find the common denominator of x and 54/5.
5
Let h = -30210/4799 - -12992011507/2063824347. Let k = h + 74572479301/19782438. Let g = -3769 + k. What is the common denominator of g and 21/20?
460
Let q = -2479752 + 32593860305/13144. Calculate the common denominator of 113/6 and q.
39432
What is the common denominator of 1549/456 + -3 + (8/(-3) - -2) and -11/9?
1368
What is the common denominator of 124/74 - (26 - 24) and 79/222?
222
Let n = 35339 - 35324. What is the lowest common multiple of 348 and n?
1740
Calculate the common denominator of 68/(-1462)*1/12 and -55/2.
258
Let y = 2727 - 73640/27. Find the common denominator of -79/216 and y.
216
Calculate the common denominator of 2 + -8 + 532/(-5328)*-58 and -11/4.
1332
Let w = -408/209473 + 7496735206/628419. Let t = 11928 - w. Find the common denominator of t and 65/27.
297
What is the common denominator of 7/45 and (11100966/16660)/129 - (-1 + 6)*1?
4410
Calculate the common denominator of 38/55 and (15571/825 + 30/(-5) - 7) + -6.
825
Let v = 556 - 353. Let m = -197 + v. Calculate the smallest common multiple of m and 6.
6
Let f be ((-13569)/362 + -2)/6. Let m be (12/(-30))/((-2142)/15 + -2). Let s = f - m. What is the common denominator of s and -23/28?
84
Suppose -5*h + 4152 = -7248. Find the common denominator of 2 + 2*-1 - h/(-200) and -61/60.
60
Let y = 10/3041 - -202587/352756. Find the common denominator of 83/16 and y.
464
Calculate the smallest common multiple of -8 - (138 - -11)/(4 - 5) and 111.
5217
Let d = 8779 - 8405. Calculate the lowest common multiple of 2992 and d.
2992
Let y = -643823/3 - -5048161/24. Let m = 4277 + y. What is the common denominator of m and 121/204?
408
Let u = -32352589/266 - -121626. What is the common denominator of u and -39/38?
266
Let o be (6/264)/(28460/(-1252970)). Let i = o + 17/1423. What is the common denominator of i and -127/110?
440
Let q = -6814751/1344 - -35492/7. What is the common denominator of q and 61/232?
5568
Let d(n) = 30*n**2 + n + 2. Let t be d(-2). Calculate the common denominator of (-1641)/90 - 9/15 and (-5532)/t - (-4)/(-10).
6
Let n(w) be the first derivative of 2*w**3/3 + 15*w**2/2 - 4*w - 1296. Let i be (-2)/(-3) - (-78)/(-9). Calculate the lowest common multiple of 13 and n(i).
52
Let z = 1662 - 1350. Calculate the smallest common multiple of 21 and z.
2184
Let a = 15/397 - -42179/7940. What is the common denominator of a and -1/3430?
6860
Suppose 0 = -2*v + 4058 - 4040. Calculate the least common multiple of 258 and v.
774
Let h = -747799 - -2742926769/3668. Find the common denominator of h and -97/32.
29344
Let q(n) = -4653*n**2 - 32*n + 159. Let g be q(6). Let v = -20104747/120 - g. Find the common denominator of v and 73/40.
120
Let a = -21 - -39. Let m be (-8)/(1104/(-247446)) + (-4)/46. Let r = m + -1643. Calculate the smallest common multiple of a and r.
450
Let p(o) = -o**2 + 22*o - 57. Let g be p(4). Suppose 0 = -3*k + g + 15. What is the smallest common multiple of k and 6?
30
Let r(f) be the first derivative of -6*f**2 - 78*f + 6. Calculate the least common multiple of r(-7) and 3.
6
Suppose 3 = 2*v - 5*v. Let x be (-2 - -24)/(v/(-1) + 1). Suppose -7*q + 8*q = x. What is the smallest common multiple of q and 5?
55
Let x(u) = 44*u**3 + 2*u**2 + 4*u + 2. Let w be x(-2). Find the common denominator of 77/72 and (7/(w/45))/((-6)/(-17)).
360
Suppose 10*n + 2*v - 903 = 1125, -2*v = 4*n - 804. Calculate the smallest common multiple of 28 and n.
1428
Let t(y) = 2186*y + 42. Let s be t(3). Find the common denominator of -25/22 and (-1 - -3) + 4 + (-46260)/s.
110
Let d(y) = 2709*y - 4415. Calculate the least common multiple of 6496 and d(3).
25984
Suppose -4 = 49*w - 50*w. Suppose 4*f + 6*i = w*i + 1248, 2*f = -4*i + 612. Calculate the lowest common multiple of f and 2.
314
Suppose 0 = 4*x + 4*a - 21368, 3*x + 25*a - 30*a - 16010 = 0. What is the lowest common multiple of x and 801?
16020
Let i(s) = -19*s - 16. Let x be i(-3). Suppose -2*n - 2*l + 26 = 0, -4*l - x = -3*n + 33. Calculate the smallest common multiple of n and 6.
18
Let p = 5774 - 5756. Calculate the smallest common multiple of p and 306.
306
What is the lowest common multiple of -7*(36/54 - 338/3) and 490?
3920
Let r(j) = -2*j - 17. What is the smallest common multiple of (14/(-14))/(-1)*19 and r(-10)?
57
Let f(j) = j**3 + 15*j**2 + 5*j - 36*j**2 + 0*j**3 + 15*j**2 - 20. Calculate the smallest common multiple of f(6) and 1.
10
Calculate the least common multiple of 87/9 - (1 + -3 + (-5)/(-3)) and 440.
440
Suppose -66*n + 18 = -63*n. Find the common denominator of 1 + 5 - 3 - (-4)/(-48) and (-13)/(-26)*17/n.
12
Suppose -1383 = -3*w + 6. Let d = w + -1426/3. Let r = -195149/60312 + -7/2872. Find the common denominator of d and r.
21
Let h(y) = -11*y + 38. Let r be h(3). Suppose -3*d - 8 = -r*d. What is the least common multiple of d and 44?
44
Suppose 63 = -59*q + 66*q. What is the lowest common multiple of 81 and (30/q)/(((-130)/135)/(-13))?
405
Find the common denominator of 119/228 and ((-49)/(-21))/((-110)/(-75)).
2508
What is the common denominator of ((-18)/(-4))/9 + (96/44)/8 and 45/296?
3256
Let i(f) = f**2 + 9*f - 61. Let o be i(4). What is the common denominator of 3/o + 4175/3150 and -111/70?
630
What is the common denominator of 57/16 and (332/16)/(260/(-91)) - -8?
80
Let r = 10968 - 10929. What is the least common multiple of 210 and r?
2730
Let n be (-4 - (-64)/(-3))*177 - 3. Let y be (323382/(-20))/(36/(-10)). Let p = y + n. Calculate the common denominator of 61/12 and p.
12
Let n = 3896 + -46807/12. What is the common denominator of -11/8 and n?
24
Let q(v) = -v**3 + 105*v**2 - 89*v - 1539. Calculate the smallest common multiple of 2535 and q(104).
17745
Let i be 2221402/22980*-379*4/12764. Let g = i + 5375/19146. Let h = g - -1/1915. What is the common denominator of 19/2 and h?
10
What is the least common multiple of 670 and (-243)/(-54)*(-804)/(-9)?
2010
Let z = -3133 - -3877. What is the least common multiple of z and 84?
5208
Suppose 5*m + 80 + 76 = 3*u, 0 = u + 5*m - 72. Calculate the common denominator of (-274)/(-48) - u/19 and 28/18*10/7.
72
What is the common denominator of 13/12828 and 1422/2370*130/(-72)?
12828
Suppose -4*b + 0 = 3*b - 476. What is the smallest common multiple of b and 10?
340
Suppose -4*l = 4*u - 5*l - 583, 732 = 5*u + 2*l. Suppose 0*y - 4*y = 2*f + 268, 4*y = f + u. What is the common denominator of f/(-16)*10/15 and -33/52?
52
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
r when 123 is divided by (-4)/1*f/(-12).
11
Calculate the remainder when (-5)/(-10) + (-969)/(-6) is divided by 19.
10
Let i(s) = -4*s + 1. What is the remainder when 245 is divided by i(-10)?
40
Let u be 2 + 2 - (-2 - -4). Suppose 0 = -u*d + 8 - 2. What is the remainder when 11 is divided by d?
2
Let r(o) = 5*o**2 + 13*o + 1. Let i(n) = -5*n**2 - 12*n - 1. Let w(c) = -3*i(c) - 2*r(c). Calculate the remainder when w(-4) is divided by 11.
8
Let t(f) = 3*f - 1. Let m be t(0). Suppose -2*p + 31 + 111 = 3*s, -s + 42 = -2*p. Calculate the remainder when s is divided by 16 + 1/m + (-12)/(-12).
14
Suppose -15*a = -189 - 201. Suppose -s = -9 - 7. Calculate the remainder when a is divided by s.
10
Let g(o) = o**3 - 66*o**2 - 136*o + 73. What is the remainder when g(68) is divided by 92/6 - 1/3?
13
Suppose 2*x + 6*o = 10*o + 44, 5*x = -o + 66. What is the remainder when 529 is divided by x?
11
Let r be (-1 + -1)*(-180)/40. Suppose -6*y = r*y - 690. What is the remainder when y is divided by 7?
4
Let i(x) = 2*x**2 + 19*x + 3. Calculate the remainder when 932 is divided by i(-11).
32
Let i = -18 + 18. Suppose i = -r - 0*w - 2*w + 15, -27 = -3*r + 3*w. Let j = r + -7. Calculate the remainder when 13 is divided by j.
1
Suppose 4*n = 3*j + 72, 4*j + 7 - 51 = -4*n. What is the remainder when 96 is divided by n?
6
Let n = 0 - -2. Suppose n*f = -6 + 14. Suppose 0 = 2*o + 5*j - 35, 0 = -2*o + 2*j + 7 + 7. What is the remainder when o is divided by f?
2
Let r(n) = n**2 + 4*n + 6. Let u be r(-2). Suppose -u*t = 5*m - 163, 2*m + m - 102 = 3*t. What is the remainder when 64 is divided by m?
31
Let h(t) = -8*t + 12. Let q be h(-7). Calculate the remainder when 118 is divided by q/(-2)*2/(-4).
16
Let p = -7 - -19. Suppose -2*z = -5*x + 13, 14 = -x + 5*x + 2*z. Suppose -81 = -2*r + 2*s - 7, 117 = x*r - 5*s. Calculate the remainder when r is divided by p.
10
Let h = 566 - 458. Calculate the remainder when h is divided by 28.
24
Let a(g) = -3*g - 12. Let c(w) = -2*w**2 + 3*w + 4. Let s be c(3). Let q be a(s). Let k = q + 8. What is the remainder when 41 is divided by k?
8
Suppose 0 = -2*x + 1 + 7, -12 = -3*b - 3*x. Suppose b = 6*m - m - 340. Calculate the remainder when m is divided by (-2)/3 - (-355)/15.
22
Let w(v) = 37*v**3 - 2*v**2 + 4*v - 8. What is the remainder when w(2) is divided by 58?
56
Let x = -67 - -70. Let f(r) = 2*r**2 + 2*r - 15. Suppose 0 = -0*s - s + 3*v + 5, 3*s = 5*v + 31. What is the remainder when s is divided by f(x)?
8
Let g(y) = -6*y + 27. Let o be g(-6). Suppose -o = -5*k - 4*k. Let d = 36 - 11. Calculate the remainder when d is divided by k.
4
Suppose 3*a = 2*n + n + 255, 5*n = -3*a + 271. Let m = 53 + -43. Calculate the remainder when a is divided by m.
7
Let w be -2*1/8*-28. Suppose 0 = 5*v + 38 + w. Let j(k) = -k**2 - 9*k + 5. What is the remainder when 13 is divided by j(v)?
3
Let m(y) = 24*y**3 + 2*y**2 - 2*y + 1. Let z(s) = s**3 + 7*s**2 + 5*s + 7. Let i be z(-5). Let p = 79 - i. What is the remainder when p is divided by m(1)?
22
Let t(m) = -7*m + 11. Let r be t(6). Suppose -2*k + 35 - 3 = 2*i, -i + 21 = -4*k. Calculate the remainder when r*(-3 - -2) + 2 is divided by i.
16
Suppose 274 = 11*j - 1. Let k = 62 - j. Suppose 0 = -5*c + 2*f + 44, -c - 5 = -7*f + 2*f. What is the remainder when k is divided by c?
7
Suppose 732 = 12*j - 204. Calculate the remainder when 310 is divided by j.
76
Let t = -25 + 42. Let n(m) = 8*m - 6*m + 1 + m**2 - 47*m**3 + 0*m. Calculate the remainder when n(-1) is divided by t.
13
Let w(a) = -14 - 71*a + a**2 + 71*a. Calculate the remainder when 65 is divided by w(-6).
21
Suppose 26*z - 23*z - 201 = 0. Suppose -5*c - 17 = -z. Suppose -23 = -5*m + 162. Calculate the remainder when m is divided by c.
7
Let z = 129 + -48. Calculate the remainder when 163 is divided by z.
1
Let b(q) = -51*q**3 - q - 2. Let a be b(-1). Suppose 7*c - a = -8. Calculate the remainder when c is divided by 3.
0
Suppose -5*j - 4*g = -342, -13*j - 270 = -17*j - 5*g. Calculate the remainder when 277 is divided by j.
67
Let y = 158 - 145. Suppose -5*v = -4*l - 229, -4*v + 208 = -2*l + 5*l. Calculate the remainder when v is divided by y.
10
Let g = 1137 + -1119. What is the remainder when 125 is divided by g?
17
Let t = 151 + -46. Suppose 3 = -2*r + 13. Calculate the remainder when t is divided by -3 + 6 - r - -29.
24
Let q(z) = z**2 - 3*z**2 + 4*z**3 - 7*z**3. Let t = -46 - -44. What is the remainder when 46 is divided by q(t)?
14
Suppose h - 57 = -4*a, -2*a - 67 = -3*h + 146. What is the remainder when 125 is divided by h?
56
Suppose -5*a + 0*w - 20710 = -2*w, 0 = 4*a - 4*w + 16580. What is the remainder when (1*(-1)/2)/(46/a) is divided by 16?
13
Suppose -i = 4 - 49. Suppose -i = -5*r + 4*q, 0 = -2*r - 3*r + 2*q + 35. Calculate the remainder when 17 is divided by r.
2
Let f = -46 - -198. Suppose -16*j + f = -8*j. Calculate the remainder when 55 is divided by j.
17
Let d = 1060 - 788. Calculate the remainder when d is divided by 66.
8
Let l = -81 - -92. What is the remainder when 84 is divided by l?
7
Suppose 0 = -7*z + 2*z + 35. Let p be ((-6)/(-5))/((-39)/1430). Calculate the remainder when (-2)/(-11) + ((-7056)/p)/9 is divided by z.
4
Let m(y) = -y - 33. Let o be m(-5). What is the remainder when 88 is divided by 28/(-8)*6/(-7) - o?
26
Suppose 6 - 38 = -2*r. Calculate the remainder when 285 is divided by r.
13
Let h be (-1)/((-1)/3 - 0). Suppose -h*l - 5*x = -71, -3*l + 29 = -4*x - 6. Calculate the remainder when 67 is divided by l.
16
Suppose 10*u - 5*u - 1676 = -2*t, -4*t + 3308 = -u. What is the remainder when t is divided by 44?
36
Let z = 371 - 349. What is the remainder when 569 is divided by z?
19
Suppose 3*f - 40 = -3*b + 14, f + 2*b - 19 = 0. Calculate the remainder when 2*7*f/34 is divided by 2.
1
Let h = 264 - 255. Calculate the remainder when h is divided by 2.
1
Let q = 165 + -149. What is the remainder when 238 is divided by q?
14
Suppose 7*t = 11*t. Suppose -y + t*y + 6 = -c, 5*y = 3*c + 26. Calculate the remainder when 14 is divided by c + (-3 - -2) - -7.
2
Let j(f) = -f**3 - 6*f**2 - 8*f - 10. Let t be j(-5). Suppose 8*x + 24 = t*x. Calculate the remainder when (4/(-3))/(x/132) is divided by 6.
4
Let b be 108/15 + 2/(-10). Suppose b*r - 30 - 61 = 0. Let a(n) = 5*n**2 + n + 1. Calculate the remainder when a(2) is divided by r.
10
Suppose 159 = 15*a - 456. What is the remainder when (-1224)/(-10) - 4/10 is divided by a?
40
Let y(w) = 14*w + 23. Let r(m) = -14*m - 24. Let g(o) = -3*r(o) - 4*y(o). Calculate the remainder when g(-7) is divided by 27.
24
Suppose 3*m - 2*z - 47 = 0, 5*m + z - 91 = -2*z. Suppose -115*p + 9791 - 2316 = 0. Calculate the remainder when p is divided by m.
14
Let k = 186 + -105. Suppose 4*l = -5*b + k, -4*b = -0*b - l - 69. Suppose 2*j + b = q, -5*q + 76 = -3*j + 2*j. Calculate the remainder when q is divided by 6.
3
Suppose 0 = d - 5*l + 1 - 46, 10 = 5*l. Suppose 0 = 30*k - 28*k - 126. Suppose -4*q + k - 7 = 0. Calculate the remainder when d is divided by q.
13
Suppose p + p - 50 = 0. Let o(x) = -42*x. Let v be o(-1). Suppose -6*z + 0*z + v = 0. What is the remainder when p is divided by z?
4
Let c = 272 + -153. Let g = 125 - c. What is the remainder when 8 is divided by g?
2
Let a be (0 + 2)*(-20)/2. Let v = a - -14. What is the remainder when (6 - 16)*v/4 is divided by 6?
3
Suppose -b + 25 = -8. Let t(o) = -o**3 - 5*o**2 + 4*o - 5. What is the remainder when b is divided by t(-6)?
5
Let n = -1557 - -1567. Calculate the remainder when 139 is divided by n.
9
Suppose 0 = -5*w + 3*u + 343, -2*u = 31*w - 30*w - 79. Calculate the remainder when 424 is divided by w.
69
Let m = 373 - 565. Suppose 0 = 8*g + 2 + 38. What is the remainder when 28 is divided by (-2)/g + m/(-20)?
8
Let y = -62 + 47. Calculate the remainder when 133 is divided by (-3 - 188/(-60)) + (-508)/y.
31
Suppose -8*l = -5*k - 4*l + 170, 0 = 2*l. Let u(z) = -5*z - 1. What is the remainder when k is divided by u(-2)?
7
Let r = -175 + 475. What is the remainder when r is divided by 26?
14
Suppose -414*f + 397*f + 1547 = 0. Calculate the remainder when f is divided by 33.
25
Suppose 4*p + 35 - 199 = 0. Suppose 0 = -0*o + o. Suppose g = 4*d + p, o*g - 99 = -3*g + 4*d. What is the remainder when 55 is divided by g?
26
Let v(d) = d**3 - 8*
|
{
"pile_set_name": "DM Mathematics"
}
|
ominator of 87/35995652 and -81/24604.
35995652
What is the smallest common multiple of 118478240 and 2096960?
236956480
Calculate the common denominator of -77/276 and -55/10342042.
62052252
What is the smallest common multiple of 12160750 and 455?
158089750
What is the common denominator of 73/4981390 and -26/2490695?
4981390
What is the common denominator of 34/20550915 and 37/7425?
102754575
What is the common denominator of -13/51952358 and 37/2?
51952358
What is the smallest common multiple of 113794 and 2387?
271626278
Find the common denominator of 191/301120920 and 161/828082530.
3312330120
Calculate the common denominator of 131/30 and -131/867450.
867450
Find the common denominator of -73/19125768 and 155/210383448.
210383448
What is the lowest common multiple of 12622707 and 232218?
176717898
What is the smallest common multiple of 5395570 and 207?
48560130
What is the lowest common multiple of 33091733 and 5755084?
132366932
What is the least common multiple of 700 and 2424?
424200
Find the common denominator of -1/2939474 and 3/11757896.
11757896
Find the common denominator of -25/29249616 and -31/235884.
29249616
Calculate the lowest common multiple of 15080 and 6541240.
85036120
Calculate the lowest common multiple of 316635 and 6270.
633270
What is the smallest common multiple of 4428568 and 3?
13285704
What is the least common multiple of 30675273 and 71575637?
214726911
Calculate the smallest common multiple of 10686 and 281535.
7319910
Calculate the common denominator of 67/3109110 and -163/5550.
15545550
Calculate the common denominator of -109/11018628 and 35/5584.
44074512
What is the smallest common multiple of 58 and 7146678?
207253662
What is the lowest common multiple of 195 and 4230048?
274953120
Calculate the common denominator of 81/723284 and 79/158994.
787656276
Calculate the lowest common multiple of 16846489 and 44.
67385956
What is the smallest common multiple of 172908720 and 86454360?
172908720
Calculate the common denominator of 87/554 and -53/130744.
130744
Calculate the smallest common multiple of 338509 and 338.
114416042
Calculate the lowest common multiple of 1520 and 1097877.
87830160
Calculate the common denominator of -145/66 and 41/7739604.
85135644
Calculate the least common multiple of 247368 and 382296.
4205256
What is the smallest common multiple of 12087328 and 44?
12087328
What is the lowest common multiple of 332 and 10808744?
897125752
Calculate the smallest common multiple of 920360 and 484400.
9203600
Calculate the common denominator of -7/11262 and 37/13500.
25339500
Calculate the common denominator of -23/214092 and 169/2028240.
38536560
What is the common denominator of -43/415044 and -74/202419?
49390236
What is the lowest common multiple of 2 and 2963310?
2963310
Calculate the least common multiple of 2544433 and 93413.
277343197
Calculate the common denominator of 47/26750 and 111/17370808.
2171351000
Calculate the least common multiple of 3864355 and 65.
50236615
What is the lowest common multiple of 1633239 and 369?
66962799
Calculate the smallest common multiple of 65584 and 254138.
2033104
What is the lowest common multiple of 423392 and 29478668?
235829344
What is the common denominator of -12/6895 and 41/5836?
40239220
What is the least common multiple of 3699421 and 23035?
18497105
Find the common denominator of 29/31392 and 13/11608.
45549792
What is the lowest common multiple of 8670700 and 8?
17341400
What is the lowest common multiple of 23044336 and 141666?
69133008
Calculate the common denominator of -65/303534 and -37/3267.
3338874
Calculate the lowest common multiple of 71833 and 78922174.
2288743046
Calculate the smallest common multiple of 8606783 and 721.
60247481
Calculate the common denominator of 69/912274 and 17/456137.
912274
What is the smallest common multiple of 1666602 and 21798?
288322146
Calculate the smallest common multiple of 12816472 and 96.
153797664
What is the common denominator of 27/121293208 and -151/193656?
363879624
What is the common denominator of -21/5680 and -89/11140?
3163760
Calculate the common denominator of 31/1122 and 59/703494.
703494
Calculate the common denominator of -38/3443 and -51/3005.
10346215
Calculate the smallest common multiple of 10857 and 5082.
238854
What is the least common multiple of 164700 and 279990?
2799900
Calculate the common denominator of -63/200345 and 109/47140.
801380
What is the least common multiple of 145901644 and 6?
437704932
Calculate the lowest common multiple of 30 and 20440.
61320
What is the smallest common multiple of 32340 and 81270?
12515580
What is the least common multiple of 108 and 12663648?
12663648
What is the common denominator of 143/21833172 and 65/196498548?
196498548
Find the common denominator of 71/116572296 and -19/108.
1049150664
Calculate the smallest common multiple of 2474329 and 519090.
74229870
Calculate the least common multiple of 90916128 and 48.
90916128
What is the common denominator of 13/349600 and 137/7050?
49293600
What is the lowest common multiple of 147768 and 467932?
2807592
What is the least common multiple of 2379729 and 1110?
23797290
Calculate the lowest common multiple of 45 and 727569.
3637845
Calculate the lowest common multiple of 3892740 and 30.
3892740
What is the common denominator of -7/2089980 and 31/103?
215267940
Calculate the least common multiple of 36495355 and 22225.
1277337425
Find the common denominator of -151/8266692 and 31/16422.
190133916
Find the common denominator of -13/730 and -39/164615.
329230
What is the common denominator of 62/666177 and 127/546?
121244214
Calculate the lowest common multiple of 13461280 and 865368.
121151520
Calculate the common denominator of -107/174 and 101/15142988.
45428964
Calculate the least common multiple of 42420 and 8208270.
16416540
What is the smallest common multiple of 77 and 82202?
6329554
Calculate the least common multiple of 363609620 and 36.
3272486580
Calculate the common denominator of -91/37848792 and -41/1281.
264941544
What is the common denominator of 52/2725 and 61/64500?
7030500
Calculate the least common multiple of 380367 and 19779084.
19779084
What is the lowest common multiple of 6381474 and 12276?
38288844
Find the common denominator of -107/54203664 and 89/280848.
54203664
Find the common denominator of -107/74913300 and 61/18216.
149826600
What is the lowest common multiple of 124625793 and 3?
124625793
Find the common denominator of -103/370622 and 23/3453.
1111866
What is the common denominator of -41/17835552 and 65/9504?
196191072
Calculate the least common multiple of 1919640 and 2172.
347454840
Calculate the least common multiple of 341 and 560108.
6161188
What is the common denominator of 69/82528888 and 67/64?
660231104
What is the lowest common multiple of 330722 and 107?
35387254
What is the smallest common multiple of 30044039 and 2036884?
120176156
Calculate the common denominator of 83/227930 and -139/1080.
24616440
What is the common denominator of 9/329 and 46/1289163?
9024141
What is the common denominator of 31/96 and 55/32504?
390048
Calculate the lowest common multiple of 15255 and 1130.
30510
Find the common denominator of -55/68614 and -103/27334762.
355351906
Calculate the lowest common multiple of 3572 and 233016.
10951752
What is the common denominator of -79/31037682 and 21/979?
341414502
Calculate the lowest common multiple of 26768 and 550340.
526125040
Calculate the smallest common multiple of 772992 and 1328580.
42514560
What is the least common multiple of 2370 and 8409550?
25228650
What is the least common multiple of 26414379 and 8804793?
26414379
What is the lowest common multiple of 226160109 and 1?
226160109
Calculate the smallest common multiple of 8 and 1961887.
15695096
What is the common denominator of 145/8712636 and -169/510?
43563180
What is the common denominator of -167/112854 and -107/2422?
19523742
Calculate the least common multiple of 15978 and 85.
1358130
Calculate the lowest common multiple of 1405 and 81605.
22931005
Calculate the least common multiple of 2248064 and 41448680.
663178880
What is the common denominator of 161/255120 and -47/51024?
255120
Calculate the smallest common multiple of 32121918 and 17845510.
1
|
{
"pile_set_name": "DM Mathematics"
}
|
0))**2 + sqrt(5))*2 - sqrt(605)*2.
-20*sqrt(5) + 160
Simplify sqrt(1539) + (-1*sqrt(1539)*1)**2.
9*sqrt(19) + 1539
Simplify -1 + (sqrt(13)*1 + 4 - (sqrt(208)*-1 - sqrt(13))) + 4.
7 + 6*sqrt(13)
Simplify -6*(4 + sqrt(720))**2.
-4416 - 576*sqrt(5)
Simplify (sqrt(110) - (sqrt(110) + 2*sqrt(110)*-6 + sqrt(110)))/(3*-1*sqrt(10)).
-11*sqrt(11)/3
Simplify (sqrt(832) + 0 - sqrt(624)/sqrt(48))**2.
637
Simplify (sqrt(190) + -2*1*sqrt(190) + sqrt(190) + sqrt(190))/(sqrt(810) - -2*sqrt(810)).
sqrt(19)/27
Simplify (2 + sqrt(252) + -1*sqrt(7)*1)**2.
20*sqrt(7) + 179
Simplify ((sqrt(135)/sqrt(3))/sqrt(9) + ((sqrt(15)*-1)/sqrt(3))**2)*-2.
-10 - 2*sqrt(5)
Simplify ((sqrt(13) + sqrt(52)/sqrt(4)*-5)**2 + sqrt(13))*5.
5*sqrt(13) + 1040
Simplify sqrt(51)/((sqrt(12) + sqrt(24)/sqrt(2))/sqrt(4)) - (sqrt(2057) + sqrt(2057) + -2*sqrt(2057) + -2)**2.
-4 + sqrt(17)/2
Simplify sqrt(20)/(sqrt(90) + -4*sqrt(90)).
-sqrt(2)/9
Simplify (sqrt(95)/(sqrt(20) + sqrt(5)) + -2)*-2.
-2*sqrt(19)/3 + 4
Simplify (sqrt(14)/(-3*sqrt(2)))**2 + -3.
-20/9
Simplify 4 + (sqrt(30)/(sqrt(80)/(-2*sqrt(8)) + sqrt(10)))**2 + 3.
19
Simplify (sqrt(50)/(sqrt(10)/sqrt(2)))/(5*-2*sqrt(5)).
-sqrt(2)/10
Simplify ((sqrt(147)/sqrt(3))/sqrt(7) - sqrt(28)*4)**2.
343
Simplify sqrt(88)/(sqrt(200) + sqrt(200)*3 + sqrt(200)).
sqrt(11)/25
Simplify (sqrt(1216) + 0)**2 - (sqrt(19) - (sqrt(19)*-3*-5 - sqrt(19)))**2.
-1995
Simplify -3*(sqrt(175) + 0 + 3 - (sqrt(175) + 0)*3)**2.
-2127 + 180*sqrt(7)
Simplify -3 + (sqrt(228)/(sqrt(12) + (sqrt(12) - sqrt(300))))**2 + 2 + 2.
28/9
Simplify ((sqrt(78)*-3)/sqrt(6) + sqrt(13))**2 + sqrt(13) + (sqrt(39)/(sqrt(3)*-4))**2.
sqrt(13) + 845/16
Simplify (-1*sqrt(25))/sqrt(5) + (sqrt(5) - sqrt(20))*-4.
3*sqrt(5)
Simplify -3 + -3*sqrt(11) + 6*sqrt(22)/sqrt(2).
-3 + 3*sqrt(11)
Simplify sqrt(91)/(sqrt(126)/sqrt(2))*4.
4*sqrt(13)/3
Simplify -2*((sqrt(68)/sqrt(4))**2 + 3).
-40
Simplify (sqrt(20) - sqrt(60)/sqrt(3))/sqrt(10) - (sqrt(2) - 1*sqrt(2)*1).
0
Simplify ((sqrt(280)*-1 + sqrt(280) + sqrt(280))/sqrt(10))/(sqrt(256) + (sqrt(256) - sqrt(256)*-1)).
sqrt(7)/24
Simplify sqrt(50) + 2 + 5 + 5 + sqrt(2).
6*sqrt(2) + 12
Simplify (-3*sqrt(242))**2*1.
2178
Simplify (6*(sqrt(468) + ((0 + sqrt(468) - sqrt(468)) + sqrt(468))*1)*-6)**2.
2426112
Simplify -4*((2*sqrt(80) + sqrt(80))*-4)**2.
-46080
Simplify ((sqrt(1008) - (sqrt(1008) + 0)) + 3)*-1 + -1.
-4
Simplify -2 + ((sqrt(1008) + 0)*-1 - (0 + sqrt(1008) + 5))**2.
240*sqrt(7) + 4055
Simplify -1*sqrt(9)/(1*sqrt(363)).
-sqrt(3)/11
Simplify sqrt(12)/(4*(sqrt(4) - sqrt(36))).
-sqrt(3)/8
Simplify sqrt(95)/(sqrt(30)/sqrt(6)) + 2.
2 + sqrt(19)
Simplify (sqrt(28)*-5 + sqrt(7) + sqrt(35)/sqrt(5) + 1 + sqrt(7))**2.
-14*sqrt(7) + 344
Simplify (5 + (-5*sqrt(931))**2)*5.
116400
Simplify (sqrt(14) + sqrt(126)*-3)/sqrt(7).
-8*sqrt(2)
Simplify ((4*sqrt(63)*-1)/sqrt(9)*4)**2.
1792
Simplify (sqrt(76) + sqrt(76)*-1)/sqrt(4) + sqrt(19) - (sqrt(19) - (sqrt(19) - (sqrt(684) + 3))).
-5*sqrt(19) - 3
Simplify (sqrt(5)*-2 + 3)**2 - (sqrt(125) + -3).
-17*sqrt(5) + 32
Simplify ((5*-1*sqrt(136))/(5*(sqrt(8) + sqrt(32)/sqrt(4)) - sqrt(8)))**2.
425/81
Simplify 4*(sqrt(238)/sqrt(7) + sqrt(34))/sqrt(2) + -1.
-1 + 8*sqrt(17)
Simplify -1*((sqrt(700) - -4*(sqrt(700) + 0))**2 + 5).
-17505
Simplify (-1 + (sqrt(1088) - (sqrt(1088)*-2 + 0)) + -1)**2.
-96*sqrt(17) + 9796
Simplify sqrt(16)/(5*sqrt(800)).
sqrt(2)/50
Simplify 1*(0 + -5 + sqrt(38)/sqrt(2))**2.
-10*sqrt(19) + 44
Simplify sqrt(5) - 2*(3 + sqrt(5)) - sqrt(60)/(sqrt(12)*3).
-6 - 4*sqrt(5)/3
Simplify 4*-1*sqrt(720).
-48*sqrt(5)
Simplify (sqrt(4)*-2*-1)/(sqrt(288) + (sqrt(288) + sqrt(288)*-2 - sqrt(288))).
-sqrt(2)/6
Simplify (-4*(sqrt(3) + -1*(sqrt(3) - sqrt(108))))**2.
1728
Simplify 3 + 5 + sqrt(32) + 0.
4*sqrt(2) + 8
Simplify 1 + 1 + sqrt(245) + 5.
7 + 7*sqrt(5)
Simplify (5*sqrt(36))/((1*sqrt(10))/sqrt(5)) + -2.
-2 + 15*sqrt(2)
Simplify 3*-4*((sqrt(11) + -3*(sqrt(11) + sqrt(99)))**2 + sqrt(44)/sqrt(4) + -1).
-15960 - 12*sqrt(11)
Simplify (sqrt(252)/(sqrt(8)/sqrt(2)))/(sqrt(9)*2*-5).
-sqrt(7)/10
Simplify (3*sqrt(7)*5*1)**2.
1575
Simplify (2*sqrt(209)*-3)/(2*sqrt(11)*2).
-3*sqrt(19)/2
Simplify (((sqrt(100) - (sqrt(100)*-3 - sqrt(100))) + sqrt(100))/sqrt(10))/(sqrt(180)*-5).
-sqrt(2)/5
Simplify ((sqrt(720) - sqrt(45))/sqrt(9))**2 + sqrt(5) + (sqrt(20)/sqrt(4)*5)**2.
sqrt(5) + 170
Simplify (sqrt(1458) + (sqrt(1458) - 1*sqrt(1458) - sqrt(1458)) + sqrt(1458))/sqrt(6)*1.
9*sqrt(3)
Simplify (((sqrt(88) - -1*sqrt(88)) + sqrt(88))*6)/sqrt(8).
18*sqrt(11)
Simplify (sqrt(125) + 0 + sqrt(125) + -4)**2.
-80*sqrt(5) + 516
Simplify ((sqrt(70) + sqrt(70) + 1*sqrt(70))*-6)/sqrt(10).
-18*sqrt(7)
Simplify -5*((-3 + sqrt(20))**2 - sqrt(5))*5.
-725 + 325*sqrt(5)
Simplify (sqrt(343) - (1 + sqrt(343)))*-4*-1.
-4
Simplify (((sqrt(468) - (sqrt(468) - -2*sqrt(468)*-6)) + sqrt(468))*-2)**2.
316368
Simplify 2*sqrt(21)/(sqrt(28) - sqrt(7))*3.
6*sqrt(3)
Simplify (-2*3*sqrt(30))/((sqrt(250) + sqrt(250) + (sqrt(250) - sqrt(250)*3) - sqrt(250)) + sqrt(10)).
3*sqrt(3)/2
Simplify -5*sqrt(52)/sqrt(4) + (sqrt(1573) - (sqrt(1573) - (3 + sqrt(1573))) - sqrt(13)).
3 + 5*sqrt(13)
Simplify (sqrt(70)*-2)/sqrt(10) - -2*(sqrt(7) - sqrt(14)/sqrt(2)).
-2*sqrt(7)
Simplify sqrt(11) + ((sqrt(11) + sqrt(176))*-4 - sqrt(11))**2 + 1 + sqrt(275) + sqrt(275).
11*sqrt(11) + 4852
Simplify (sqrt(405) + (sqrt(405) - (sqrt(405)*-2 + 1)) - sqrt(720)*2*-6)**2.
-360*sqrt(5) + 162001
Simplify -3*(-2 + 3*sqrt(13) + (sqrt(13) + 0)*3).
-18*sqrt(13) + 6
Simplify 2*sqrt(48)*6.
48*sqrt(3)
Simplify sqrt(98)*-2 + 2.
-14*sqrt(2) + 2
Simplify ((sqrt(30) + (-2*sqrt(270))/sqrt(9))/(sqrt(384)*-2 - sqrt(384) - sqrt(384)))**2.
5/1024
Simplify (sqrt(1053)*-2 + sqrt(1053))**2*-3.
-3159
Simplify 4 + (sqrt(9)/sqrt(3) - sqrt(3))**2 + (2*sqrt(3) + -1 - sqrt(3)).
sqrt(3) + 3
Simplify -3 + (6*1*sqrt(539)*-4)**2.
310461
Simplify (((2*sqrt(117) - sqrt(117) - sqrt(117))*4 - sqrt(117))/(-2*(sqrt(81) - sqrt(9))))**2.
13/16
Simplify sqrt(88)/(sqrt(8) + sqrt(56)/sqrt(7)) + -1.
-1 + sqrt(11)/2
Simplify (sqrt(76) + sqrt(76) + -2)**2 + sqrt(19) - (sqrt(19) + -2 + 1).
-16*sqrt(19) + 309
Simplify -4 + 2*sqrt(2299).
-4 + 22*sqrt(19)
Simplify ((sqrt(104) - (sqrt(104) - (sqrt(104) - -1*sqrt(104)*1))) + sqrt(104))/(sqrt(8) - sqrt(24)/sqrt(3)*6)*-5.
3*sqrt(13)
Simplify (-2*(sqrt(13) + sqrt(26)/sqrt(2)))**2*3.
624
Simplify (sqrt(200)*1*3 - sqrt(200))**2 + 1 + 2.
803
Simplify (sqrt(272) - (-2*sqrt(272) - sqrt(272))*1 - -4*(sqrt(272) - (sqrt(272) + -1)))**2.
128*sqrt(17) + 4368
Simplify 4 + -1 + -2*sqrt(19).
-2*sqrt(19) + 3
Simplify -3 + (sqrt(44)/(-4*sqrt(4)*1))**2 + 4.
27/16
Simplify ((sqrt(56)/sqrt(4) - sqrt(14))/sqrt(7) - sqrt(2))**2 - (sqrt(242) + sqrt(242) + 1 + sqrt(242))**2 - (5 + sqrt(2) + (sqrt(32) + -2)**2).
-2218 - 51*sqrt(2)
Simplify (sqrt(36)/(sqrt(192) + sqrt(3)))**2.
4/27
Simplify ((0 + sqrt(11))*5 - sqrt(11)) + sqrt(132)/sqrt(300).
21*sqrt(11)/5
Simplify -2 + sqrt(3)*5 - (6*sqrt(192))**2.
-6914 + 5*sqrt(3)
Simplify -5*(-4 + sqrt(11) + 0).
-5*sqrt(11) + 20
Simplify 3 + sqrt(2)*-2 + sqrt(2) + -5*(sqrt(4)/sqrt(2))**2 - (2*sqrt(2)*5 - (sqrt(32) + 1)).
-7*sqrt(2) - 6
Simplify (sqrt(76)/sqrt(144) - (sqrt(114)/sqrt(2))/sqrt(3))**2.
475/36
Simplify (sqrt(2) + sqrt(54)/sqrt(3) + -2*sqrt(2) + -4)**2.
-16*sqrt(2) + 24
Simplify 1 + sqrt(567) - (0 + sqrt(7) + 0).
1 + 8*sqrt(7)
Simplify ((sqrt(14) + (sqrt(2688) + sqrt(42))/sqrt(3))/sqrt(7))**2.
200
Simplify sqrt(11)*-2*-1 + (sqrt(11) - (-4 + (sqrt(44)/sqrt(4))**2 + sqrt(11))).
-7 + 2*sqrt(11)
Simplify -3 + 2 + sqrt(44)/sqrt(4) + sqrt(11) + -5.
-6 + 2*sqrt(11)
Simplify 3 + -4 + (sqrt(17) - sqrt(17)*2) + (1 + sqrt(68) + 2)**2.
11*sqrt(17) + 76
Simplify (-5*(-1*sqrt(190) + sqrt(190)))/sqrt(10).
0
Simplify (6*(sqrt(17)*-2 + -4))**2.
576*sqrt(17) + 3024
Simplify 3*(sqrt(288)/(sqrt(12)*-1))/(1*sqrt(48)/sqrt(4)).
-3*sqrt(2)
Simplify 4*(sqrt(17) + 0 + 1).
4 + 4*sqrt(17)
Simplify 2*(-3 + sqrt(4)/sqrt(2) + sqrt(2) - (sqrt(128)/sqrt(4))**2)*5.
-350 + 20*sqrt(2)
Simplify -1 + (sqrt(200))**2.
199
Simplify -4 + sqrt(99)*2 - ((6*(sqrt(99) - ((sqrt(99)*1 - sqrt(99) - sqrt(99)) + sqrt(99))))/sqrt(9))**2.
-400 + 6*sqrt(11)
Simplify (1*(sqrt(832) + -1 + 0) + -1)**2.
-32*sqrt(13) + 836
Simplify 4*sqrt(208) + sqrt(13) + (sqrt(13) - -5*sqrt(468) - sqrt(13)).
47*sqrt(13)
Simplify sqrt(112) + (sqrt
|
{
"pile_set_name": "DM Mathematics"
}
|
40 + 485*a**3/3 + 2*a**2 - 328*a. What is the derivative of c(x) wrt x?
-2259*x**2
Find the third derivative of -18*g**3 + 71*g**5 + 2916 - 2*g + 2*g - 3682 - g**2 wrt g.
4260*g**2 - 108
Let p(u) = -u**2 - 7*u. Let l be (66/77)/((-1)/7). Let g be p(l). What is the third derivative of -14*j**5 - 19*j**2 - g*j**2 + 13*j**2 wrt j?
-840*j**2
Let s(q) = q + 20. Let j be s(-16). Suppose 5*f - j*o = 118, 6*f - 96 = 2*f + 4*o. What is the third derivative of 8*i**5 + f*i**5 - 25*i**5 + 37*i**2 wrt i?
300*i**2
What is the first derivative of 660*s**2 - 664 - 39877*s + 79762*s - 39883*s wrt s?
1320*s + 2
Let h = -3001 + 3001. Let w(c) be the first derivative of -14 + 0*c + 7/4*c**4 + 16/3*c**3 + h*c**2. What is the third derivative of w(t) wrt t?
42
Let c(b) = -8*b**4 - 44*b**3 - 2*b**2 - 4*b + 366. Let m(g) = -g**4 + g**3 + g**2 + 2*g - 1. Let x(t) = -c(t) - 2*m(t). Differentiate x(l) with respect to l.
40*l**3 + 126*l**2
Suppose 0 = 82*n - 55 - 109. Let q(c) be the second derivative of 0*c**4 + 0 + 7/20*c**5 - n*c**2 - 3*c + 0*c**3. Differentiate q(k) with respect to k.
21*k**2
Let x(w) = -8*w + 9. Let d(a) = -7*a + 7. Let m(r) = 7*d(r) - 6*x(r). Let b be m(-12). What is the derivative of -b*h - 9*h - 25 - 26*h wrt h?
-42
Differentiate 783 - 397*m + 80 - 126*m - 85 + 221 wrt m.
-523
Let a(s) be the first derivative of -1909*s**6/6 - 1177*s**3/3 + 908. Find the third derivative of a(v) wrt v.
-114540*v**2
Let n = 3802 - 3802. Let r(d) be the first derivative of 0*d**2 + 0*d**4 + 0*d + n*d**5 + 19 + 2*d**3 + 7/6*d**6. What is the third derivative of r(b) wrt b?
420*b**2
Let w(c) = -1326*c**3 - 4*c + 249. Let o(h) = 6626*h**3 + 22*h - 1243. Let r(s) = 2*o(s) + 11*w(s). Find the first derivative of r(f) wrt f.
-4002*f**2
Let j = 14 - -28. Let y = -39 + j. What is the first derivative of -4*o**y - 4 - 5 + o**4 + 4*o**3 wrt o?
4*o**3
Let h(i) = -3*i**3 - 32*i**2 + 10*i - 8. Let a be h(-11). Find the third derivative of -79*f**3 + 14209*f**2 - 14342*f**2 + 220*f**a wrt f.
846
Let g(l) be the third derivative of -46/3*l**3 + 14*l**2 - 5*l + 27/8*l**4 + 0 - 1/30*l**5. Differentiate g(v) with respect to v.
-4*v + 81
Let x(u) = 4710*u**2 - 8605*u + 120. Let s(n) = 2356*n**2 - 4303*n + 64. Let i(z) = -15*s(z) + 8*x(z). Find the second derivative of i(q) wrt q.
4680
Suppose -6*r + 960 = 300. Differentiate -18*v**3 - 4*v**3 + 22*v**3 + r - 48*v**4 wrt v.
-192*v**3
Let k(h) = h**3 - h**2 - h. Let n be k(2). Suppose 59 = n*v + 23. Find the third derivative of -21*c**2 - 2*c**3 - v*c**2 + 11*c**2 wrt c.
-12
Let r be 4 + 0 + ((-27)/(-3) - -3). What is the third derivative of -6*h + 8*h - 111*h**3 + 2*h**2 + r*h**2 wrt h?
-666
Let i(b) be the third derivative of 25/4*b**4 - 41/2*b**3 + 0*b - 2 - 58*b**2. What is the derivative of i(p) wrt p?
150
Let z(m) be the third derivative of 0*m - 1/10*m**5 + 5/2*m**3 + 51 - 2*m**2 + 0*m**4. What is the first derivative of z(w) wrt w?
-12*w
Let a(u) = 14*u**2 + 4*u - 11. Let m be a(-3). Differentiate -13*l**2 - 55 + m - 62 + 5*l**2 wrt l.
-16*l
Suppose 108*h - 114*h = 0. What is the second derivative of h*d - 5 + 8 + 4*d**2 + 3 + 2*d wrt d?
8
Let l be 24/(-9)*15/(-10). Suppose 0 = -3*v + 4*v - l. Find the third derivative of -42*p**4 + 14*p**4 - 15*p**v + 14*p**2 wrt p.
-1032*p
Let l(y) = -1194*y - 1492. Let s(g) = g. Let k(n) = -l(n) - s(n). What is the derivative of k(d) wrt d?
1193
What is the third derivative of 14*v**4 + 74*v**2 - 2 + 2*v - 94*v**2 + 74*v**2 + 10*v**2 - 70*v**3 wrt v?
336*v - 420
Suppose -688 = -161*t - 205. Let i(g) be the first derivative of -1/2*g**4 + 0*g**2 + 0*g + 26 + 7*g**t. Find the third derivative of i(s) wrt s.
-12
Let t(u) = 2*u**2 - u - 1. Let r(i) = -10*i**2 + 1494*i - 3107. Let n(p) = r(p) + 3*t(p). Find the first derivative of n(a) wrt a.
-8*a + 1491
Let i(r) be the third derivative of 193*r**5/60 - r**4/24 + 125*r**3 - 1044*r**2. Differentiate i(d) with respect to d.
386*d - 1
Let z be ((-1)/2)/(27/(-108)). Find the first derivative of 14*x**2 + 43 - 8*x**2 - 12*x**z + 26 - x wrt x.
-12*x - 1
Let p(d) = d**3 + 31*d**2 - 34*d - 51. Let t be p(-32). What is the third derivative of 11*o**6 + 3*o**5 + 3*o + t*o**5 + 4*o**2 - 18*o**5 wrt o?
1320*o**3 - 120*o**2
What is the second derivative of 1638*h + 39*h**2 - 91*h**2 + 29*h**5 + 52*h**2 wrt h?
580*h**3
Let j(g) = -g**3 + 4*g**2 - 3*g. Let v be j(2). Find the third derivative of 15*n**v + 34 + 10*n**3 + 14*n**3 - 34 wrt n.
144
Let o = -17 + 5. Let w be (44/o - -3)*12/(-4). Find the second derivative of 11*p**2 + 31*p**3 - 27*p + w*p**2 - 13*p**2 wrt p.
186*p
Let j(b) be the third derivative of 1429*b**4/12 + 883*b**3/6 - 2121*b**2. Differentiate j(c) wrt c.
2858
Let k(v) be the second derivative of -947*v**5/20 - 109*v**4 - 187*v. Find the third derivative of k(p) wrt p.
-5682
Let t(o) = -3*o**4 - 2*o**3 - 2*o**2 - o - 2. Let g(d) = 56*d**4 + 26*d**3 - 58*d**2 + 13*d - 2034. Let w(v) = -g(v) - 13*t(v). Differentiate w(n) wrt n.
-68*n**3 + 168*n
Let k(z) = -2185*z**3 + 15*z - 5886. Let d(g) = 3279*g**3 - 24*g + 8829. Let h(u) = -5*d(u) - 8*k(u). What is the first derivative of h(o) wrt o?
3255*o**2
Suppose -7*u + 48 = -120. Suppose 3*d - 4*z - 35 = u, 33 = d - 4*z. Find the first derivative of 15 + 36*s - d*s - 16*s wrt s.
7
Let z(s) be the first derivative of 131*s**8/28 + 17*s**4/4 + 301*s - 211. Let h(b) be the first derivative of z(b). Find the third derivative of h(u) wrt u.
31440*u**3
Let l(n) = n**2 - n + 1. Let t be (6/(-4))/(28/(-56)). Let z(w) = 39*w**2 - 3*w + 33. Let j(c) = t*l(c) - z(c). What is the first derivative of j(y) wrt y?
-72*y
Let o(d) = -2*d**2 + 17*d - 19. Let g be o(7). What is the third derivative of -152*a**3 - 120*a**g + a - 169*a**2 + 256*a**2 wrt a?
-912
Let t(n) = 5*n**3 - 3*n**3 + 5*n**2 - 4*n**2 - n**3. Let x(f) = f**3 - 16*f**2. Let k(h) = -6*t(h) - 3*x(h). Find the third derivative of k(s) wrt s.
-54
Let c = 520 + -443. Find the third derivative of -31*o**2 - 101*o**2 - c*o + 66*o**6 + 8*o**6 + 77*o wrt o.
8880*o**3
Let u(k) = -18 + 9*k**2 - 4*k**2 - 4*k**2 - 2*k. Let l be u(-10). Find the first derivative of -6 - 24*f**4 + 102*f**2 - l*f**2 wrt f.
-96*f**3
Let u(f) = 4 + 6 - 14*f**3 + 8*f**2 + 13*f**3 + 3 - f. Let i be u(8). What is the third derivative of -6*b**2 + 0*b**i + 3*b**5 + 12*b**2 wrt b?
180*b**2
Let c(w) be the third derivative of 19/8*w**4 + 0*w**7 + 0*w**3 + 1/24*w**8 + w + 72*w**2 + 0*w**5 + 0 - 1/60*w**6. Find the second derivative of c(n) wrt n.
280*n**3 - 12*n
Let s(r) = -r**2 + 10*r - 21. Let w be s(6). Suppose 13 = w*f + f + k, -k = -3*f + 1. Differentiate f*l**2 - 2 - 8*l**2 - 5*l**2 - 5 wrt l.
-22*l
Let p(v) be the first derivative of -2147*v**3/3 + v**2/2 + 806*v + 2652. What is the second derivative of p(h) wrt h?
-4294
Let b(q) be the second derivative of -q**7/42 - q**6/30 + 5*q**5/4 + 31*q**4/4 - q**3/3 + q**2/2 - 5938*q. Find the third derivative of b(t) wrt t.
-60*t**2 - 24*t + 150
Let u = 10 - 13. Let t be u/(-3)*(-8)/(-2). Find the third derivative of -28*r**2 + 0*r**t + 0*r**4 + 51*r**2 + 2*r**6 wrt r.
240*r**3
Let l(h) = -124*h**2 + 117*h - 4072. Let o(t) = -31*t**2 + 27*t - 1019. Let b(u) = -6*l(u) + 26*o(u). What is the derivative of b(s) wrt s?
-124*s
Let j(w) be the first derivative of -1319*w**2/2 - 375*w + 1414. Find the first derivative of j(r) wrt r.
-1319
Let a(l) be the second derivative of -5/42*l**7 - 1/30*l**6 + 0*l**2 + 0*l**5 - 49*l - 29/12*l**4 + 0 - 1/3*l**3. What is the third derivative of a(p) wrt p?
-300*p**2 - 24*p
Let y(x) be the third derivative of 0*x + 0*x**5 + 31/336*x**8 + 0*x**7 - 12*x**2 + 0*x**6 + 0*x**3 + 0 - 17/24*x**4. Find the second derivative of y(j) wrt j.
620*j**3
Let q(o) be the second derivative of 61*o**6/30 + o**4/4 + 1259*o**2/2 - 205*o + 4. What is the first derivative of q(d) wrt d?
244*d**3 + 6*d
Find the second derivative of -414*f**5 - 2*f**2 - 71*f - 148*f + 0*f**2 + 2*f**2 wrt f.
-8280*f**3
Let x(h) be the third derivative of 273*h**6/5 - 2*h**5/15 + 33*h**4/8 - 5906*h**2. What is the third derivative of x(r) wrt r?
39312
Suppose 3*h - 8 = -2. Suppose 2*z - 3*k = 9, h*z = -3*z + 4*k + 19. What is the third derivative of -1 + 1 - 161*c**3 + 166*c**z - c**2 wrt c?
30
Suppose 17*c - 16*c - 9 = 0. What is the third derivative
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 20086824*v**3/5 + 401018304*v**2/5 + 694407168*v/5 + 33226752 = 0.
-416, -20, -8/5, -2/7
Find j such that -3*j**3 + 3288*j**2 + 14635908*j + 87696432 = 0.
-1724, -6, 2826
Solve -3*c**2 - 11442*c - 4911759 = 0.
-3321, -493
Factor 3*b**2/4 + 7563*b/2 + 283062.
3*(b + 76)*(b + 4966)/4
Factor -3*u**3/4 + 388437*u**2/2 + 16319646*u.
-3*u*(u - 259042)*(u + 84)/4
Factor -3*f**2 + 58358802*f - 283812480906267.
-3*(f - 9726467)**2
Determine t so that -72944283*t**2 + 65089200*t - 14520000 = 0.
2200/4931
Determine d, given that 21104836*d**5 - 41133306988*d**4 + 20062727802844*d**3 - 20004182738308*d**2 - 17429067680*d - 3794704 = 0.
-1/2297, 1, 974
Factor 5*m**3 + 2358730*m**2 - 2358735*m.
5*m*(m - 1)*(m + 471747)
Factor 4*r**2 - 23628*r - 79961440.
4*(r - 8312)*(r + 2405)
Find w such that 117*w**5 - 2192*w**4 - 402729*w**3 + 711152*w**2 + 1471452*w + 208080 = 0.
-51, -10/9, -2/13, 3, 68
What is b in 6*b**3/11 - 307852*b**2/11 - 718374*b/11 + 1026220/11 = 0?
-10/3, 1, 51311
Determine g, given that -5*g**5 - 562010*g**4 - 1685960*g**3 + 2809990*g**2 + 1685965*g - 2247980 = 0.
-112399, -4, -1, 1
Solve -7*r**3 + 24365*r**2 - 5896684*r - 1686756 = 0 for r.
-2/7, 262, 3219
Factor 2*l**2/9 + 530626*l/9 + 5306060/9.
2*(l + 10)*(l + 265303)/9
Suppose 28*c**4 - 113132*c**3 + 497824*c**2 + 10656192*c - 4649472 = 0. Calculate c.
-8, 3/7, 12, 4036
Factor -2*z**2/5 - 518172*z/5 - 3730320.
-2*(z + 36)*(z + 259050)/5
Determine z, given that z**5 - 283*z**4/4 + 1593*z**3 - 27935*z**2/2 + 46438*z - 135975/4 = 0.
1, 7, 75/4, 37
Factor -2*f**2 - 163109008*f - 3325568561343008.
-2*(f + 40777252)**2
Find g, given that -961*g**5/5 + 52173*g**4 - 635642*g**3/5 + 505714*g**2/5 - 143157*g/5 + 13181/5 = 0.
7/31, 1, 269
Suppose -3*w**4 + 1795584*w**3 - 268673233896*w**2 - 1074714482688*w - 1074721665072 = 0. What is w?
-2, 299266
Solve 2*x**5 + 11686*x**4 - 11732*x**3 - 257104*x**2 + 187200*x + 1122048 = 0.
-5844, -4, -2, 3, 4
Factor 5*n**3 - 1290*n**2 - 5135480*n + 30858240.
5*(n - 1148)*(n - 6)*(n + 896)
Factor 3*x**2 - 1327188*x + 62371209.
3*(x - 442349)*(x - 47)
Solve 89*w**3/3 - 78651*w**2 - 2806970*w/3 + 149128 = 0 for w.
-12, 14/89, 2663
Factor -l**2/4 + 1455*l/4 + 29089.
-(l - 1531)*(l + 76)/4
Determine x, given that -2*x**3 - 1590598*x**2 + 46129024*x = 0.
-795328, 0, 29
Determine j, given that -2*j**4/9 + 862*j**3/9 + 30004*j**2/3 - 563968*j/9 + 761024/9 = 0.
-92, 2, 4, 517
Suppose -5*u**2 + 11332900*u - 45331520 = 0. Calculate u.
4, 2266576
Solve -j**3/10 + 525817*j**2/10 + 1051637*j/10 + 525819/10 = 0 for j.
-1, 525819
Determine i so that 6*i**3 + 170*i**2/3 - 356*i/9 - 2320/9 = 0.
-29/3, -2, 20/9
Determine d, given that -d**4/2 - 2711819*d**3/2 - 1838497351725*d**2/2 - 9192435234129*d/2 - 5515451377947 = 0.
-1355907, -3, -2
Factor 2*c**3/3 + 340*c**2/3 + 10478*c/3 + 3380.
2*(c + 1)*(c + 39)*(c + 130)/3
Factor -m**4/7 - 170628*m**3/7 - 7278137332*m**2/7 + 4159228128*m - 4159325632.
-(m - 2)**2*(m + 85316)**2/7
Factor n**3 - 180193*n**2 - 180194*n.
n*(n - 180194)*(n + 1)
Solve 111042*b**3 - 666249*b**2 - 1776690*b - 48 = 0.
-2, -1/37014, 8
Solve 40*s**2/7 - 15374*s/7 - 23151/7 = 0.
-3/2, 7717/20
Factor -2*b**2 - 134050*b - 6028200.
-2*(b + 45)*(b + 66980)
Factor 4*h**3 - 9205740*h**2 + 5296626073500*h - 26482900224500.
4*(h - 1150715)**2*(h - 5)
Suppose 3*b**3/8 + 808419*b**2/4 + 1616829*b/8 - 1616835/4 = 0. Calculate b.
-538945, -2, 1
Factor -4*r**3 - 56684*r**2 - 208063680*r - 50872738032.
-4*(r + 263)*(r + 6954)**2
Determine w so that 2*w**2/3 - 1666860*w + 1041908347350 = 0.
1250145
Factor 338*i**2/9 + 12205*i - 1625/9.
(i + 325)*(338*i - 5)/9
Let 4*q**3/3 + 189496*q**2/3 + 568436*q/3 - 757936/3 = 0. What is q?
-47371, -4, 1
Let -3*b**2 + 1137619698*b - 107848214773134267 = 0. What is b?
189603283
Factor 525*s**2 + 2583524*s - 4921.
(s + 4921)*(525*s - 1)
Solve -i**5/2 + 7729*i**4 + 185701*i**3 + 1284874*i**2 + 4087127*i/2 + 936661 = 0.
-11, -1, 15482
Factor 4*z**2 - 735856*z - 1471728.
4*(z - 183966)*(z + 2)
Find a such that 28*a**5 + 202324*a**4 + 2597972*a**3 + 9320012*a**2 + 5885664*a - 1038672 = 0.
-7213, -6, -1, 1/7
Solve -20*l**5 - 5308*l**4 + 30952*l**3 + 162744*l**2 + 38700*l - 87804 = 0 for l.
-271, -3, -1, 3/5, 9
Let -4056*v**4 - 174436*v**3 - 1960252*v**2 - 1802220*v - 12348 = 0. What is v?
-21, -1, -7/1014
Factor 3*b**2 + 1653982674*b + 227971557157682523.
3*(b + 275663779)**2
Find u such that -u**2/6 + 76745*u/3 + 8444975/6 = 0.
-55, 153545
Suppose -3*p**3 - 1264932*p**2 - 2529855*p - 1264926 = 0. Calculate p.
-421642, -1
Let -5*z**5/6 - 29195*z**4 + 262790*z**3/3 + 145985*z**2 - 525575*z/6 - 116790 = 0. Calculate z.
-35037, -1, 1, 4
Suppose -159*a**3 - 74557002*a**2 - 8740166120352*a + 329817695616 = 0. Calculate a.
-234456, 2/53
Factor 2*t**2/3 + 2231318*t - 13387932.
2*(t - 6)*(t + 3346983)/3
Factor 2*m**2 + 48139690*m + 96279372.
2*(m + 2)*(m + 24069843)
What is r in 4*r**2/7 + 210996*r/7 = 0?
-52749, 0
Factor -3*k**2/5 + 43496994*k/5 - 157665707253003/5.
-3*(k - 7249499)**2/5
Let -r**3/9 + 4996016*r**2/9 + 9992035*r/9 + 4996018/9 = 0. Calculate r.
-1, 4996018
Determine r so that 28*r**5/3 - 2269196*r**4/3 - 14590820*r**3 - 82684420*r**2/3 + 95652752*r/3 + 11024432 = 0.
-17, -3, -2/7, 1, 81062
Factor -2*t**2/11 + 8693356*t/11 - 9446804817842/11.
-2*(t - 2173339)**2/11
Find m such that 2*m**5/7 + 19928*m**4/7 - 26*m**3/7 - 259088*m**2/7 - 239136*m/7 = 0.
-9964, -3, -1, 0, 4
Solve 722*u**3 - 7370442*u**2 - 4655232*u - 735048 = 0.
-6/19, 10209
Factor f**4/3 + 5267014*f**3/3 + 21068044*f**2/3 + 7022680*f.
f*(f + 2)**2*(f + 5267010)/3
Factor 2*q**3/5 + 90345786*q**2/5 - 180691578*q/5 + 18069158.
2*(q - 1)**2*(q + 45172895)/5
Factor 2*p**2/17 - 1448424*p/17 - 2896856/17.
2*(p - 724214)*(p + 2)/17
Find g, given that -5*g**4 - 12645*g**3 - 151120*g**2 - 251700*g = 0.
-2517, -10, -2, 0
Determine b, given that -14*b**4 - 4512*b**3 - 287784*b**2 - 636928*b - 158592 = 0.
-236, -84, -2, -2/7
Solve n**4/5 - 10972*n**3/5 - 1138022*n**2/5 - 29933124*n/5 - 5761215 = 0 for n.
-51, -1, 11075
Factor 225602*t**3 + 10*t**2.
2*t**2*(112801*t + 5)
Find h, given that 5*h**3 - 2628080*h**2 - 21025285*h + 170827800 = 0.
-13, 5, 525624
Find d such that 25*d**3/2 + 4692*d**2 + 972261*d/2 + 8364843 = 0.
-177, -534/25
Factor n**2 + 469*n - 102222.
(n - 162)*(n + 631)
Factor -4*z**3 + 1203376*z**2 + 89066252*z + 1647826968.
-4*(z - 300918)*(z + 37)**2
What is d in 4*d**4 + 792*d**3 + 27644*d**2 - 178488*d - 763200 = 0?
-150, -53, -3, 8
Let 2*o**4 - 4412*o**3 + 2374608*o**2 + 65299392*o - 298909440 = 0. What is o?
-30, 4, 1116
Find f such that -2*f**3/7 - 16879704*f**2/7 - 67518792*f/7 - 67518784/7 = 0.
-8439848, -2
Solve 4*o**2 - 37024*o + 185020 = 0 for o.
5, 9251
Suppose -270*p**2 - 3868851*p - 300909 = 0. What is p?
-14329, -7/90
Determine o, given that -o**4/7 - 1575691*o**3/7 - 620698168323*o**2/7 + 1862114989003*o/7 + 2482811581636/7 = 0.
-787847, -1, 4
Let x**4 + 4153344*x**3 + 4153334*x**2 - 37380096*x - 37380087 = 0. What is x?
-4153343, -3, -1, 3
What is w in -36*w**5 - 5875476*w**4 - 239741453548*w**3 - 878985408844*w**2 - 506077325152*w - 79906636848 = 0?
-81602, -3, -1/3
What is v in -493045*v**3 - 2465235*v**2 + 2958220*v + 60 = 0?
-6, -2/98609, 1
Factor -36*z**3 - 7699704*z**2 - 5133124*z - 855520.
-4*(z + 213880)*(3*z + 1)**2
Determine b, given that -b**4/3 + 50*b**3/3 + 473*b**2/3 - 150*b - 1392 = 0.
-8, -3, 3, 58
Determine b so that 2*b**3 - 11136*b**2 + 11122*b + 66804 = 0.
-2, 3, 5567
Suppose 5*x**2 + 1215*x - 512720 = 0. What is x?
-464, 221
Find o such that -2*o**5/3 - 2564962*o**4/3 - 822374910230*o**3/3 + 2467140120482*o**2/3 - 2467145250416*o/3 + 822382605128/3 = 0.
-641242, 1
Let i**3/2 - 11888*i**2 - 7636611*i/2 - 304560207 = 0. Calculate i.
-159, 24094
Factor -h**3/10 - 5861*h**2/10 - 1143724*h - 743040840.
-(h + 1821)*(h + 2020)**2/10
What is l in 4*l**2 - 20740976*l + 26886755339536 = 0?
2592622
Let -i**3 - 28825*i**2 + i + 28825 = 0. Calculate i.
-28825, -1, 1
Find z, given that -2*z**2/9 + 13594*z/3 - 26578516/9 = 0.
674, 19717
Determine j so that -j**3/5 + j**2/5 + 1142*j - 22792/5 = 0.
-77, 4, 74
Factor 5*f**3 + 8830*f**2 + 816320*f - 1668000.
5*(f - 2)*(f + 100)*(f + 1668)
Determine d, given that -d**5/2 + 6427*d**4/8 + 46735*d**3/8 +
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 1
What is the z'th term of -261063, -261061, -261059, -261057, -261055, -261053?
2*z - 261065
What is the v'th term of -55, 75, 349, 773, 1353, 2095, 3005?
v**3 + 66*v**2 - 75*v - 47
What is the k'th term of -1676, -1624, -1572, -1550, -1588, -1716, -1964?
-5*k**3 + 30*k**2 - 3*k - 1698
What is the x'th term of 430, 1726, 3884, 6904, 10786, 15530, 21136?
431*x**2 + 3*x - 4
What is the k'th term of -57884, -57881, -57878?
3*k - 57887
What is the x'th term of -3385, -3280, -3107, -2866, -2557, -2180?
34*x**2 + 3*x - 3422
What is the z'th term of 13675, 13713, 13751, 13789, 13827?
38*z + 13637
What is the i'th term of 1179991, 2359982, 3539973, 4719964?
1179991*i
What is the d'th term of -4, 9, 20, 29, 36, 41, 44?
-d**2 + 16*d - 19
What is the c'th term of -27143, -27128, -27109, -27086, -27059, -27028?
2*c**2 + 9*c - 27154
What is the w'th term of -71, -20, 87, 262, 517, 864, 1315?
2*w**3 + 16*w**2 - 11*w - 78
What is the b'th term of 46, -5, -202, -617, -1322, -2389, -3890, -5897?
-12*b**3 - b**2 + 36*b + 23
What is the y'th term of -1616, -3227, -4838, -6449, -8060, -9671?
-1611*y - 5
What is the i'th term of -1052, -1102, -1146, -1178, -1192, -1182, -1142, -1066?
i**3 - 3*i**2 - 48*i - 1002
What is the u'th term of -130, -391, -782, -1303, -1954?
-65*u**2 - 66*u + 1
What is the d'th term of -974925, -974929, -974935, -974943, -974953?
-d**2 - d - 974923
What is the q'th term of -2156, -8911, -20168, -35927?
-2251*q**2 - 2*q + 97
What is the f'th term of -2676, -2671, -2662, -2649, -2632, -2611, -2586?
2*f**2 - f - 2677
What is the p'th term of 701, 708, 741, 794, 861, 936?
-p**3 + 19*p**2 - 43*p + 726
What is the g'th term of -115, -134, -127, -94, -35, 50, 161?
13*g**2 - 58*g - 70
What is the o'th term of 31018, 62057, 93096, 124135, 155174, 186213?
31039*o - 21
What is the n'th term of 885, 1588, 2289, 2988, 3685?
-n**2 + 706*n + 180
What is the r'th term of 2425, 2435, 2445, 2455, 2465, 2475?
10*r + 2415
What is the v'th term of 16, 34, 24, -26, -128, -294, -536, -866?
-2*v**3 - 2*v**2 + 38*v - 18
What is the h'th term of -9349, -19260, -29171?
-9911*h + 562
What is the n'th term of -473, -807, -1141, -1475?
-334*n - 139
What is the g'th term of -96, -237, -378, -519, -660?
-141*g + 45
What is the w'th term of -107, -843, -2873, -6857, -13455, -23327?
-110*w**3 + 13*w**2 - 5*w - 5
What is the y'th term of 2075, 2082, 2093, 2108, 2127, 2150, 2177?
2*y**2 + y + 2072
What is the l'th term of 41920, 83842, 125764, 167686, 209608?
41922*l - 2
What is the a'th term of 187, 195, 201, 205, 207?
-a**2 + 11*a + 177
What is the k'th term of -47216, -47214, -47212, -47210?
2*k - 47218
What is the s'th term of -1, -5, -7, -7, -5, -1?
s**2 - 7*s + 5
What is the t'th term of 3630, 3494, 3358, 3222, 3086?
-136*t + 3766
What is the u'th term of 2608013, 2608012, 2608011, 2608010, 2608009, 2608008?
-u + 2608014
What is the q'th term of 262, 931, 2054, 3637, 5686, 8207, 11206?
q**3 + 221*q**2 - q + 41
What is the j'th term of -2431, -4864, -7297, -9730?
-2433*j + 2
What is the a'th term of 85504, 85501, 85498, 85495, 85492, 85489?
-3*a + 85507
What is the i'th term of 56, 107, 146, 167, 164, 131?
-i**3 + 58*i - 1
What is the y'th term of -18113, -36246, -54379, -72512?
-18133*y + 20
What is the g'th term of 18724, 18719, 18714, 18709, 18704, 18699?
-5*g + 18729
What is the i'th term of -1958, -1890, -1800, -1676, -1506, -1278, -980, -600?
2*i**3 - i**2 + 57*i - 2016
What is the v'th term of 2697, 5379, 8061, 10749, 13449, 16167?
v**3 - 6*v**2 + 2693*v + 9
What is the l'th term of -10, -50, -90, -112, -98, -30, 110, 340?
3*l**3 - 18*l**2 - 7*l + 12
What is the w'th term of 78200, 156388, 234550, 312674, 390748, 468760, 546698?
-2*w**3 - w**2 + 78205*w - 2
What is the b'th term of 836, -1005, -2858, -4729, -6624, -8549, -10510, -12513?
-b**3 - 1834*b + 2671
What is the j'th term of -51823, -103648, -155473?
-51825*j + 2
What is the u'th term of -4047, -8075, -12103, -16131?
-4028*u - 19
What is the u'th term of 5386, 21421, 48108, 85447, 133438?
5326*u**2 + 57*u + 3
What is the j'th term of -631, -620, -593, -544, -467?
j**3 + 2*j**2 - 2*j - 632
What is the a'th term of -316, -1087, -2372, -4171, -6484?
-257*a**2 - 59
What is the j'th term of 542, 988, 1434, 1880?
446*j + 96
What is the i'th term of 186602, 373202, 559802?
186600*i + 2
What is the n'th term of 10160, 20328, 30490, 40640, 50772, 60880?
-n**3 + 3*n**2 + 10166*n - 8
What is the c'th term of -86051, -172101, -258149, -344195?
c**2 - 86053*c + 1
What is the v'th term of 11231, 44931, 101099, 179735, 280839, 404411, 550451?
11234*v**2 - 2*v - 1
What is the g'th term of 270530, 270529, 270528?
-g + 270531
What is the x'th term of -908, -1897, -2882, -3863, -4840?
2*x**2 - 995*x + 85
What is the d'th term of -65010, -130016, -195024, -260034, -325046, -390060?
-d**2 - 65003*d - 6
What is the a'th term of -41848, -41906, -41964, -42022, -42080?
-58*a - 41790
What is the j'th term of -1594, -1524, -1444, -1348, -1230, -1084, -904, -684?
j**3 - j**2 + 66*j - 1660
What is the s'th term of -25824, -25826, -25830, -25836, -25844, -25854?
-s**2 + s - 25824
What is the b'th term of -363, -453, -543, -633, -723?
-90*b - 273
What is the m'th term of 4955, 5690, 6439, 7208, 8003, 8830, 9695?
m**3 + m**2 + 725*m + 4228
What is the x'th term of -16329, -16263, -16197, -16131, -16065?
66*x - 16395
What is the p'th term of 564, 644, 858, 1272, 1952?
11*p**3 + p**2 + 552
What is the d'th term of 153, 377, 601, 825, 1049, 1273?
224*d - 71
What is the p'th term of -6669, -13392, -20113, -26832, -33549?
p**2 - 6726*p + 56
What is the b'th term of -80803, -161609, -242415, -323221, -404027?
-80806*b + 3
What is the o'th term of 1115, 1203, 1291?
88*o + 1027
What is the c'th term of 645, 1250, 1831, 2376, 2873, 3310?
-2*c**3 + 619*c + 28
What is the z'th term of -2196, -4426, -6700, -9018, -11380?
-22*z**2 - 2164*z - 10
What is the d'th term of 132, 229, 288, 309, 292, 237?
-19*d**2 + 154*d - 3
What is the g'th term of 1208, 1061, 654, -145, -1468?
-22*g**3 + 2*g**2 + g + 1227
What is the s'th term of 919, 933, 953, 979, 1011, 1049?
3*s**2 + 5*s + 911
What is the b'th term of -543, -1269, -1995, -2721?
-726*b + 183
What is the m'th term of -10254, -20310, -30366, -40422, -50478, -60534?
-10056*m - 198
What is the u'th term of 212956, 425915, 638874, 851833, 1064792, 1277751?
212959*u - 3
What is the s'th term of -207, -863, -1963, -3513, -5519, -7987?
-s**3 - 216*s**2 - s + 11
What is the r'th term of -45, -331, -1117, -2655, -5197, -8995, -14301, -21367?
-42*r**3 + 2*r**2 + 2*r - 7
What is the w'th term of 477, 549, 649, 783, 957, 1177, 1449?
w**3 + 8*w**2 + 41*w + 427
What is the m'th term of 3071, 12130, 27229, 48368, 75547, 108766, 148025?
3020*m**2 - m + 52
What is the b'th term of 6432, 12833, 19230, 25623, 32012?
-2*b**2 + 6407*b + 27
What is the a'th term of -33, -317, -1083, -2577, -5045, -8733, -13887, -20753?
-41*a**3 + 5*a**2 - 12*a + 15
What is the c'th term of 28, 83, 146, 193, 200, 143?
-4*c**3 + 28*c**2 - c + 5
What is the c'th term of -6170, -12338, -18506, -24674?
-6168*c - 2
What is the j'th term of 820, 1626, 2420, 3202, 3972, 4730?
-6*j**2 + 824*j + 2
What is the s'th term of -5552, -11197, -16832, -22457, -28072, -33677?
5*s**2 - 5660*s + 103
What is the m'th term of 248, 841, 1434, 2027?
593*m - 345
What is the c'th term of -214, -442, -674, -910, -1150, -1394, -1642?
-2*c**2 - 222*c + 10
What is the u'th term of -30, -85, -172, -303, -490, -745?
-2*u**3 - 4*u**2 - 29*u + 5
What is the b'th term of -7759, -7730, -7675, -7588, -7463, -7294, -7075?
b**3 + 7*b**2 + b - 7768
What is the z'th term of 2112, 4238, 6364, 8490, 10616?
2126*z - 14
What is the a'th term of -271, -548, -783, -952, -1031?
4*a**3 - 3*a**2 - 296*a + 24
What is the i'th term of 77, -239, -843, -1735, -2915, -4383, -6139?
-144*i**2 + 116*i + 105
What is the l'th term of -265899, -531797, -797695, -1063593, -1329491, -1595389?
-265898*l - 1
What is the z'th term of -108, -523, -1198, -2091, -3160, -4363?
7*z**3 - 172*z**2 + 52*z + 5
What is the u'th term of 145, 526, 1141, 1996, 3097, 4450, 6061?
u**3 + 111*u**2 + 41*u - 8
What is the l'th term of 56511, 113020, 169529, 226038, 282547, 339056?
56509*l + 2
What is the n'th term
|
{
"pile_set_name": "DM Mathematics"
}
|
lculate the highest common factor of f and 1.
1
Let p = 9 + -5. Let v be 0 - 0 - (-1 + -46). Suppose p*y - v = 5. What is the highest common divisor of 91 and y?
13
Suppose 0 = 5*y - 4 - 6. Suppose 2 = y*b - 0. What is the highest common factor of 1 and b?
1
Let k = -11 - -28. Let f = -12 + k. Suppose 5*n + 2*b - 3*b - 830 = 0, -f*n - b + 820 = 0. Calculate the greatest common factor of n and 15.
15
Suppose 2*c - 42 = -4*z, 2*z - z - 5 = 0. What is the greatest common factor of 77 and c?
11
Suppose -12*l + 11*l = -5. What is the greatest common factor of l and 1?
1
Let l(i) = 3*i**3 - 6*i**2 + 5*i + 1. Let w be l(4). Calculate the greatest common factor of w and 13.
13
Suppose 2*h - 11 = 3*h. Let g = 26 + h. Suppose 5*p + 36 - 426 = -3*w, -138 = -w + p. Calculate the highest common factor of w and g.
15
Suppose -2*v + 39 = -27. Suppose 0 = 4*p + 4*s, -4*p + 3 = p + 4*s. What is the highest common divisor of v and p?
3
Suppose 5*x - 9 = -4. Let a be (-5 + x - -8) + 19. What is the highest common factor of 69 and a?
23
Suppose -2*t - 5*y = -107 - 104, 0 = 2*t - 4*y - 220. Calculate the greatest common divisor of 12 and t.
12
Let d be 10/4*66/55. Suppose 0 = 5*s + d*z - 373, -7*s + 2*z + 393 = -2*s. What is the highest common divisor of 11 and s?
11
Let f(c) = 3*c**2 - 5. Let o be f(6). Suppose d - o = -3*x, -2*x - 3*x + 157 = -2*d. Let j = x - 19. What is the highest common divisor of 7 and j?
7
Let s be 29 + -1*4/(-2). What is the greatest common factor of 31 and s?
31
Suppose 4*b - 5*t - 193 = 0, -b + 25 - 8 = 5*t. Let j = 12 + b. Suppose -5*s - 4 = -j. What is the greatest common factor of 80 and s?
10
Let z(v) = -v**3 - 4*v**2 + 5*v + 1. Let q be z(-5). Let n be 9*10 + 0/q. Let p = 109 + -73. Calculate the greatest common divisor of p and n.
18
Let w = 199 + -45. What is the highest common divisor of 14 and w?
14
Let q(p) = -p**3 + 6*p**2 - p - 6. Let v be q(6). Let z = v - -20. Let u be (44/16)/(2/z). What is the greatest common divisor of u and 1?
1
Suppose -4*j + 44 + 4 = 0. Calculate the greatest common factor of j and 48.
12
Let t(b) = -b**3 + 6*b**2 + 5*b + 5. Let v be t(6). Let h(z) = -z**2 - 9*z - 6. Let o be h(-5). Calculate the highest common divisor of o and v.
7
Suppose -2*b + b = -3*x - 171, 489 = 3*b - x. Calculate the greatest common divisor of 108 and b.
54
Let f(p) = -2*p**3 + 9 + p**3 - 6*p + 12*p**2 - 5*p**2. Let d be f(6). Let q be 141/4 + d/(-36). Calculate the greatest common factor of q and 5.
5
Let z = 0 - -2. Let a(w) = -7*w + 1. Let t be a(1). Let o be t/15 - (-42)/5. Calculate the greatest common divisor of z and o.
2
Let i(c) = -2*c**3 + 2*c + 2. Let d be i(-2). Calculate the greatest common factor of 7 and d.
7
Let g(o) = -o**2 + 5*o + 6. Let a be g(6). Let i = 190 + -82. Suppose a*c = -3*c + i. Calculate the greatest common divisor of c and 18.
18
Suppose -m = -0*m - v - 17, -4*v + 92 = 4*m. Calculate the highest common divisor of m and 30.
10
Suppose -3*g + 9 + 12 = 5*x, 2*g - 4*x + 8 = 0. Let y be -9*1/(g + -3). Let z be (60/(-18))/((-2)/27). What is the highest common factor of y and z?
9
Suppose -5*i + 21 = 1. Calculate the greatest common divisor of 36 and i.
4
Suppose -4*a - a = -d - 57, 20 = 2*a + d. What is the greatest common divisor of 33 and a?
11
Suppose -2*r = -3*r + 3. Let p = r + 1. Suppose 3*y - 197 = d, p*d + 10 + 316 = 5*y. Calculate the highest common divisor of y and 22.
22
Let f = 93 + -67. Suppose 0 = 4*o - 200 + 44. What is the highest common divisor of o and f?
13
Suppose 4*a + 34 = 3*i, 72 = -5*a + 2*i + 26. Let g be (0 + -2)/(4/a). What is the highest common divisor of g and 45?
5
Suppose -2*n + 3*z = 6, 3*z = 2*n - 2*z + 10. Suppose -2*r + 46 + 42 = n. Let s = 79 - r. Calculate the highest common divisor of 7 and s.
7
Let c(w) = 8*w**2 - 2*w - 2. Let x be c(2). What is the greatest common divisor of x and 26?
26
Let p be (-4 + 2)/((-1)/16). What is the highest common factor of 8 and p?
8
Suppose g - 5 = -0*g. Suppose 3*z - 15 = 2*z. Suppose 3*o - 4*c = -0*c - 3, g*c = z. Calculate the highest common factor of o and 21.
3
Let r(p) = 2*p**2 - 2*p - 4. Let i be r(4). What is the highest common factor of i and 20?
20
Let y(q) = 7*q**2 - q + 1. Let v be y(1). Suppose 3*d = v*d. Suppose -t + 0*t + 24 = d. Calculate the highest common divisor of t and 36.
12
Let w be 482/4 - 1/2. What is the highest common divisor of w and 24?
24
Let r be (-4)/((-2)/6*-2). Let d be (4/r)/(4/(-162)). What is the greatest common divisor of 9 and d?
9
Let t = 40 - 24. Suppose -3*r + 3*h + t = -2*h, 0 = -5*r - 4*h + 76. Calculate the greatest common divisor of r and 60.
12
Let r be 6/14 - (-2 + (-3835)/35). What is the greatest common factor of 14 and r?
14
Let a(w) = w**3 - 13*w**2 + 15*w - 15. Let d be a(12). What is the highest common divisor of d and 7?
7
Suppose -3*g + 5*b + 2 = 0, 10 = 2*b - 0*b. Suppose -2*s + 5*m = 243, 2*s + 2*m = -0*m - 208. Let x = -46 - s. What is the highest common factor of x and g?
9
Suppose -f - 316 = -5*f. Suppose 3*r = -2*w - 33 + f, 4*r = -4*w + 68. Let b be (-12)/15 + (-216)/(-45). Calculate the greatest common factor of r and b.
4
Let s be (26/3)/(4/6). Calculate the greatest common factor of 117 and s.
13
Let p = -14 + 39. Calculate the highest common divisor of p and 1.
1
Let o be 1926/24 + 1/(-4). Calculate the highest common factor of o and 16.
16
Let g(z) = -z - 5. Let d be g(-5). Suppose -18 = -4*y + x, -y = -d*y - 3*x - 10. Calculate the highest common divisor of 8 and y.
4
Suppose -5*l - 5*f = -6*f - 166, -5*f = 2*l - 61. Let v be 55/30 - 2/(-12). Suppose -v*o - 2*o + 88 = 0. What is the greatest common factor of l and o?
11
Let c(p) = -p**3 + 17*p**2 + 39*p - 5. Let s be c(19). Let b be 6/(-15) + 553/(-5). Let z = 1 - b. What is the greatest common factor of s and z?
14
Let y(j) = 10*j**2. Let i be y(2). Let m be 0 + 0 + 5 - -1. Let n = m + -1. What is the highest common divisor of i and n?
5
Suppose -4*g = 2*x - 4*x + 32, g = 5*x - 80. Calculate the highest common divisor of 2 and x.
2
Suppose 0*y + 2 = y. Let g = 8 - y. What is the highest common divisor of 3 and g?
3
Let q be 2/(-4)*(-9 + 1)/4. Calculate the greatest common divisor of q and 1.
1
Let d(f) = -3*f - 8. Let q be d(-8). Let k be q/10*(-30)/(-4). Calculate the greatest common divisor of k and 132.
12
Let k(i) = -i**2 + 8*i - 13. Let c be k(3). What is the highest common divisor of c and 22?
2
Let b be (-99)/44*6/9*-6. What is the greatest common divisor of b and 1?
1
Let d(i) be the first derivative of -i**4/4 - 4*i**3/3 + 3*i**2 + 2. Let t be d(-6). What is the greatest common factor of 24 and t?
12
Suppose 0 = -4*j - m + 2 + 20, 5*j = 4*m + 17. Suppose g + 2*g = 48. Suppose 3*x - j*x + g = 0. What is the greatest common factor of 32 and x?
8
Suppose -2*c - 19 = -5*u, -3*u = u - c - 17. Let q = u - -8. Suppose 3*j = 70 + 203. What is the highest common divisor of q and j?
13
Let b(q) = 18*q - 4. Let v be b(10). What is the highest common divisor of 16 and v?
16
Suppose 8 = 3*b - 2*b + 3*i, -4*i + 64 = 4*b. Let j = -222 - -402. What is the greatest common divisor of j and b?
20
Let a(c) = c**2 - 16. Let p be a(7). Let v(j) = -3*j - 10. Let g be v(-7). What is the highest common factor of g and p?
11
Let u(l) = l + 13. Let q be u(-12). Let j = 2 + q. What is the greatest common divisor of j and 6?
3
Suppose -4*o = -2*b - 0*b + 128, -4 = -2*o. Let g = -19 - -87. Suppose 0 = 3*s - 7*s + g. What is the greatest common factor of b and s?
17
Suppose 5*c = 8*c - 624. Suppose 3*o = o + c. Calculate the greatest common divisor of o and 26.
26
Let a = -25 + 29. What is the highest common factor of a and 16?
4
Let m(g) be the first derivative of g**3/3 + 5*g**2/2 - g + 5. Let c = -10 + 4. Let n be m(c). Calculate the greatest common divisor of 45 and n.
5
Suppose 0*u = -2*u + 18. Calculate the highest common factor of u and 27.
9
Let z(p) = 8*p + 58. Let r be z(-7). What is the highest common divisor of 2 and r?
2
Let f = 213 + -53. Calculate the highest common factor of 64 and f.
32
Suppose 4*r - 388 = 2*h, 0*r + 3*h = -r + 90. Calculate the greatest common divisor of 12 and r.
12
Let l(c) = -c**2 + c - 3. Let m be l(-3). Let k be (25/m)/((-2)/132). Calculate the highest common factor of 10 and k.
10
Let n =
|
{
"pile_set_name": "DM Mathematics"
}
|
Let o(k) be the third derivative of w(k). Is o(-10) a multiple of 20?
True
Let d(m) = -8*m - 51. Let h be d(-7). Let o be h + 1788/30 + 2/5. Suppose 35*j - 30*j - o = 0. Is 9 a factor of j?
False
Suppose -2192*h = -2148*h - 609840. Does 45 divide h?
True
Suppose -5*i = -30, 467*i + 6582 = r + 468*i. Does 12 divide r?
True
Let l(p) = p**3 - p**2 - 2*p + 2. Suppose -8 = -4*f + 3*r, 2*r + 2 = -f + 2*f. Suppose -i = -f - 3. Does 12 divide l(i)?
False
Let h = 24 - 47. Let z(p) = -5*p - 48. Let j(y) = 10*y + 96. Let q(d) = 3*j(d) + 7*z(d). Is 19 a factor of q(h)?
False
Suppose 5*t - 37168 = -2*n, -3*t = -131*n + 132*n - 18584. Suppose 24*d - 47*d = -n. Is d a multiple of 28?
False
Suppose -10*v + 1937 + 2343 = 0. Suppose -j - v = -6*j + 3*b, -3*j - 4*b = -251. Suppose j = 3*w - 5*n, 4*w + 5*n = w + 95. Does 4 divide w?
False
Let h(k) = k + 4. Let g be h(5). Suppose -2*o = -g*o. Is 20 a factor of 9 - -35 - (-2 - o)?
False
Let s(l) = -20 + l**3 - 18*l**2 - 7*l + 30*l**2 - 6*l**2. Is 13 a factor of s(-6)?
False
Suppose 18 = -5*s - 2. Let t be 2*(-1 - (s - (1 + -3))). Suppose 9*c - 4*c - 3*m = 880, -2*c + 336 = t*m. Is 21 a factor of c?
False
Let u(s) = 2654*s - 380. Is 121 a factor of u(13)?
True
Let f(o) = -o - 21. Let y be f(-12). Let b be -4 - (-3)/(y/(-177)). Let d = b + -35. Does 4 divide d?
True
Let l(u) = 83*u + 13553. Is 52 a factor of l(-102)?
False
Let w(x) = x**2 + x + 7*x**2 + 23*x**2. Let p be w(1). Suppose -p = -v + 5*q, 2*q - 23 = -v + 2. Is 9 a factor of v?
True
Let i be 12/18 + 22/3. Suppose -v = -i*v. Suppose v*y - 3*y + 36 = 0. Is y a multiple of 2?
True
Let n(a) = 197*a + 53. Let p be n(-19). Let i be p/72 - (-2)/8. Let w = i - -138. Is w a multiple of 35?
False
Suppose 5*i - 4*x - 3610 = 23262, -5*x + 21473 = 4*i. Does 68 divide i?
True
Let j = 6038 - 5494. Does 22 divide j?
False
Let f(k) = -k + 18. Let m be f(13). Suppose -160 = -4*l + 4*y, -m*y - 112 = -2*l - l. Suppose l = q + q. Is 11 a factor of q?
True
Suppose -4*j + 3266 = -386. Let n = -636 + j. Is n a multiple of 35?
False
Let m(r) = -36*r**3 - 4*r**2 - 2*r + 1. Let w be m(-1). Let a be w/25 - 6/(-10). Suppose 0*z - 42 = -2*z - a*i, 3*z = -4*i + 63. Is 3 a factor of z?
True
Let n(o) = -11 - 3*o**2 + 25 - 19 + 0*o**3 + 31*o**3 + 6*o. Is n(2) a multiple of 6?
False
Does 67 divide 6960756/76 - (8/12)/((-19)/3)?
True
Let z(o) be the first derivative of o**3/3 - 27*o**2/2 - 9*o + 106. Does 9 divide z(36)?
True
Suppose -d - 442*q + 20514 = -446*q, 3*d + 2*q - 61458 = 0. Is 65 a factor of d?
False
Let n(m) = 4*m + 3590. Does 18 divide n(52)?
True
Suppose 5*d + 2*p = 7714, 18*d + 3073 = 20*d + 5*p. Is 4 a factor of d?
True
Let n(a) = -3*a**2 - 25*a + 52. Let g be n(10). Is 19 a factor of (39 + -7)*g/(-8) - 3?
False
Let f(l) = l**3 + 8*l**2 + 7*l + 4. Let i be f(-7). Suppose -4*q = -i*x + 412, -255 = 4*x + q - 652. Suppose 3*g - x = 8. Is g a multiple of 9?
True
Suppose -h - 2*y = -0*h - 45, -2*y - 230 = -4*h. Is 23 a factor of 5 - 285/h - 9464/(-22)?
False
Let s(a) = -a**3 - 7. Let k be s(4). Let o = 13 - k. Is 18 a factor of o?
False
Let d(s) = 467*s + 214. Let p(n) = -157*n - 71. Let i(u) = 3*d(u) + 8*p(u). Does 33 divide i(6)?
False
Suppose p + 7*p = 48. Suppose -a - 40 = -p*a. Let q(z) = -z**3 + 10*z**2 - 14*z. Is q(a) a multiple of 8?
True
Let t = -336 + 330. Let h be (-2)/(4 - 2) + 2. Does 4 divide 13 + t*h/2?
False
Suppose 277 = -2*x + 4*g - 465, 1849 = -5*x + 4*g. Let w = x - -813. Does 37 divide w?
True
Let x(r) = 1939*r + 1260. Does 46 divide x(4)?
True
Let q be (0 - 1904/20)/((-2)/(-10)). Let c = 848 + q. Does 12 divide c?
True
Suppose 2*b - w = 746, b = 4*b - 2*w - 1119. Is b a multiple of 9?
False
Let n(f) = -2*f**3 - 6*f**2 + 4*f + 3. Let b be n(1). Is 687 - (-2 + -4 - b) a multiple of 64?
False
Suppose 4*a + w + 5266 = 34413, -5*a = -2*w - 36424. Is a a multiple of 37?
False
Let y(a) = -217*a + 889. Let j(h) = 24*h - 99. Let b(d) = -28*j(d) - 3*y(d). Does 18 divide b(-19)?
True
Let v = -23 - -27. Suppose -v*f + t - 6 = -23, -2 = 2*t. Suppose -w + 205 = f*w. Does 11 divide w?
False
Suppose 28*d - 381 = 123. Let w(c) = 3*c**2 - 33*c + 25. Is w(d) a multiple of 27?
False
Let v = 503 - 296. Suppose 4*b = -5*l + 310, 3*b + l - 31 - v = 0. Is 10 a factor of b?
True
Suppose -2*z = 5*x - 5*z - 170, 2*x + 4*z = 94. Suppose -x*j - 78 = -43*j. Is 3 a factor of j?
False
Let q(z) = -204*z + 4289. Is q(-140) a multiple of 107?
True
Let o(k) = -63*k**3 + 8*k**2 - 32*k - 247. Does 31 divide o(-7)?
False
Suppose 260*t = 247*t + 171496. Is 34 a factor of t?
True
Let b be (-1)/(-2)*318/(-3). Let w be 9/2*(-3 - b/3). Suppose -26 + w = 2*a - h, -3*a + 4*h + 70 = 0. Is a a multiple of 4?
False
Let l = 38 - 74. Let j(x) = -2*x - 16. Is j(l) a multiple of 7?
True
Let u be (-6)/(-24) + (-64806)/24. Does 15 divide ((-18)/(-27))/((-3)/u)?
True
Let a = 150 + -151. Does 13 divide 1*(-12)/a*20/6?
False
Let q be -7 - (-5 + 2 - -2). Let c(r) = 1 - 40*r + 7*r - 3 - 2. Does 28 divide c(q)?
False
Let l(z) = 4*z**3 - 15*z**2 - 75*z - 3. Does 17 divide l(20)?
True
Let j be 6/(-2) - (-9)/(-27)*4035. Let x = -766 - j. Is 12 a factor of x?
False
Let n = -27941 + 38441. Is n a multiple of 60?
True
Suppose 9 + 209 = 2*g. Let b be 405/18 + 2/4. Let u = b + g. Is 33 a factor of u?
True
Let h(q) = -q**2 - 14*q - 18. Let t be h(-13). Let l be 3 + 1791/t - 1/(-5). Let p = 544 + l. Does 27 divide p?
True
Let g = -302 - -304. Suppose 25 = 5*v, 0*v + g*v = 2*t - 230. Does 13 divide t?
False
Suppose 4*n - 3*h = 7*n - 109056, 109014 = 3*n - 3*h. Is 15 a factor of n?
True
Let h(f) = 15*f**2 - 20*f + 39. Is 3 a factor of h(7)?
False
Let t(f) = f**3 + 16*f**2 - 2*f + 8. Let j be t(-16). Let x = 36 - j. Does 21 divide ((-12)/16)/(-3) + (-83)/x?
True
Suppose 0 = -5*x + 3*x + 4. Suppose 6*b = x*b. Suppose b = a + a - 58. Is 15 a factor of a?
False
Suppose 3*t + 15 = 0, 67*j = 64*j + 2*t + 10690. Is 40 a factor of j?
True
Does 54 divide (1242/75*5)/(1/15)?
True
Suppose 0 = -2*u - 69 + 81. Suppose -u*d = -161 - 559. Is d a multiple of 10?
True
Let d be ((-4401)/36)/((-6)/16). Let v = 477 - d. Suppose 2*o - v = 109. Does 24 divide o?
False
Let c = 945 - -1035. Is 99 a factor of c?
True
Is 31 a factor of 97644/(-8)*12/(-18)?
False
Let s = 248 - 243. Suppose a + 4*k = 34, 0 = s*a - a + 5*k - 125. Is a a multiple of 3?
True
Does 10 divide (25/(-5) - (4 + 5*-2))*500?
True
Let q(v) = v**3 + 7*v**2 + 7*v + 2. Let n be q(-5). Suppose 5*g = n*g - 7*g. Suppose g = -8*x - 105 + 489. Does 4 divide x?
True
Suppose -3*n = m + n - 3, -3*m = -n - 9. Suppose o - 636 = 4*t, 6*o + m*t = o + 3180. Does 12 divide o?
True
Is 11 a factor of -5*(-3)/60 - (223956/(-48) + -6)?
False
Let h be (-21 - -1)/((-1)/41). Suppose 389*n = 370*n + 152. Suppose 3*d = n*d - h. Is 47 a factor of d?
False
Suppose 11*h - 40 = 9*h. Suppose 0 = -0*x - 2*x + 2*u - h, 4*x + 35 = -u. Is 4/(-12) - 111/x a multiple of 3?
True
Suppose -10589 + 925 = -2*h. Does 16 divide h?
True
Suppose -781 = j - 3*s, 0*s = 5*j + 2*s + 3837. Let k = -150 - j. Is 12 a factor of k?
False
Suppose m + 0*m - 87 = -a, -159 = -2*a - 5*m. Let p = a - 90. Is 7 a factor of (-8)/(-2) + 17 + p + -2?
True
Let b be (-55)/30 - 1/6. Let p be 698/(-2) + 1 + b. Does 20 divide (1/((-15)/18))/(21/p)?
True
Let s(r) = r**3 - 8*r**2 - r + 52. Let f be s(7). Is 11 a factor of f - (-349 + -2)/1?
False
Is (-6)/((-315)/(-25578)*(-6)/20) a multiple of 4?
True
Suppose -5*r + 13330 = -2*a, 382*a = -2*r + 377*a + 5361. Is 116 a factor of r?
True
Let c(t) = t**2 - 66*t + 949. Does 4 divide c(21)?
True
Let s(d) = -d**3 + 38*d**2 - 18*d + 251. Is s(35) a multiple of 20?
False
Let n = -175 - -168. Does 41 divide 492 - (0 - 0/n)?
True
Let a be 24/(-56) + 34/14 + 1. Suppose 222 = 4*t + 2*k, 0 = -4*t - k - a*k + 216. Does 19 divide t?
True
Let r(o) = -36*o - 131. Let l be r(-5). Suppose -l*z - 7296 = -81*z. Is 57 a factor of z?
True
Suppose 0 = 230*i - 228*i - 5*p - 11054, -i - 4*p = -5566. Is i a multiple of 18?
False
Let j be -6 - 42/(-3) - -464. Suppose 5*f - j - 3 = 0. Is 3 a factor of f?
False
Suppose -4*j + 0*i - 5*i = 7, j + i = -1. Does 13 divide 462/(-11)*j/(-4)?
False
Suppose 4*g - 41176 = -4*l, -6*l - 41113 = -4*g - l. Does 81 divide g?
True
Is 13 a factor of 37331 - (0/(-6) - (8 + -3))?
True
Suppose -206*b + 2
|
{
"pile_set_name": "DM Mathematics"
}
|
Let t = -92 - -63. Let g = 70 + t. What are the prime factors of g?
41
Let g be 82 + 4/6*-3. Let k be g/6 - (-4)/6. Suppose 4*r + 12 = 0, 3*b - 2*r = k + 4. List the prime factors of b.
2
Let m(b) = -b. Let z be m(1). Let l = z + 1. Suppose -3*v - 2*j - 2*j + 39 = l, 5*v - 4*j = 65. List the prime factors of v.
13
Suppose -l + 2*i - 29 = 0, 5*l - 3*i + 84 = 2*l. Let y = 38 + l. List the prime factors of y.
11
Let i(x) = -x**3 + x**2 + 2*x + 2. Let u(j) = -j**2 - 8*j - 2. Let c be u(-8). What are the prime factors of i(c)?
2, 5
Let z(b) = 2*b**2 + 9*b + 2. List the prime factors of z(-6).
2, 5
Suppose 2*y - 2 = 2*b - 3*b, 5*y = 5*b - 25. Let x be y/4 - 125/(-20). Suppose -4 = -x*t + 5*t. What are the prime factors of t?
2
Let y(c) = c**3 + 12*c**2 + 9*c - 22. List the prime factors of y(-9).
2, 5, 7
Suppose 10*u = 780 + 480. What are the prime factors of u?
2, 3, 7
Let z(k) = k**3 - k**2 - 3*k + 3. Let s be 2/(-6) - 1/(-3). Suppose -2*y + 9 - 3 = s. List the prime factors of z(y).
2, 3
Let n be (4 + -1)/((-3)/(-9)). Let d = n - 9. Suppose 15 = 5*g - d. What are the prime factors of g?
3
Suppose -3*h - 10 - 8 = 0. Let s(v) = -v + 0 - 4 - v - v. What are the prime factors of s(h)?
2, 7
List the prime factors of (-6)/24 - ((-1707)/(-4))/(-3).
2, 71
Let r = -16 - -24. Suppose r = 2*h - 4. Let v = -1 + h. List the prime factors of v.
5
What are the prime factors of ((-918)/(-8))/3 + 42/56?
3, 13
Let v = 3 - 6. Let a be v/(2 + (-39)/24). What are the prime factors of (a - 1)*(0 - 1)?
3
Suppose 5*k = 2*k + 3. What are the prime factors of 11 - (k - 0)*1?
2, 5
Let b = -15 + 21. Suppose 3 + b = l. What are the prime factors of l?
3
Let p = 122 - 10. Suppose 4*x - 6*y + 9*y - p = 0, 5*x - 4*y = 171. List the prime factors of x.
31
Suppose d - 6 = -0*d - 4*w, -4*d - 5*w + 13 = 0. Suppose -d*a = 0, 0*y + 26 = -2*y + 4*a. Let v = -8 - y. List the prime factors of v.
5
Let o be (-2 - -1*2)*1. Suppose -3*p - 4 - 2 = o. What are the prime factors of (-10)/(-1) - (p - -3)?
3
Suppose 5*m - 8 = m. Suppose -m*a = a - 9. Suppose -18 = -3*c + a. What are the prime factors of c?
7
Let j = -14 - -13. Let v(z) = -27*z**3 + z**2 + z. List the prime factors of v(j).
3
Suppose -h = -5*h + 240. Suppose -6*n - h = -4*n. Let a = -20 - n. List the prime factors of a.
2, 5
Let b(l) = -l**2 - 7*l - 2. Let s be 3 + -3 + 0 + -6. Let v be b(s). Let q = v - 1. What are the prime factors of q?
3
Let o(m) = -5*m**2 + 2*m - 4. Let c(f) = -f**2 - f - 1. Let d(a) = -4*c(a) + o(a). Let l be d(5). Suppose -l*h + 0*h + 60 = 0. What are the prime factors of h?
2, 3
Let j(p) = 4*p**2 - p. Let m be j(1). Suppose -m*h + 40 = 2*k - 3, 4*k - 4*h - 36 = 0. List the prime factors of k.
2, 7
Let n be 5 - ((-1)/(-1) - -2). Suppose b = -n*b + 45. What are the prime factors of b?
3, 5
Let q = 5 - 1. Suppose -4 = t, 2*j + 28 = q*j - 4*t. What are the prime factors of j?
2, 3
Let i be (5 + 4)/(-3) + 12. Suppose -i = -d + 7. What are the prime factors of d?
2
Let k(f) = 3*f - 5. What are the prime factors of k(7)?
2
Let x(l) = -3*l + 5. Suppose 0 = -5*u + 17 - 47. What are the prime factors of x(u)?
23
Let f(p) = -p**2 - 7*p + 6. Let q be (6/8)/((-2)/16). What are the prime factors of f(q)?
2, 3
Let z(u) = 2*u**2 + 3*u - 9. List the prime factors of z(-7).
2, 17
Let h(x) = -x**2 + 5*x + 6. What are the prime factors of h(5)?
2, 3
Let m be ((-1)/(-1))/((-3)/51). Let i = m + 35. List the prime factors of i.
2, 3
Let x = 11 - 18. Let n be (-316)/28 - 2/x. Let m = n + 21. What are the prime factors of m?
2, 5
Let l be 3*2/3 - -5. What are the prime factors of ((-7)/(-3))/(l/21)?
7
Let c(g) = g + 3*g + 11 - 5*g. Let o = -98 + 98. What are the prime factors of c(o)?
11
Suppose 4*c = -3*j - 2*j + 34, 0 = -3*j - c + 19. List the prime factors of j.
2, 3
Let j(m) = -m**2. Let h be j(0). Let i(l) be the first derivative of l**4/4 - l**3/3 + l**2/2 + 12*l + 1. What are the prime factors of i(h)?
2, 3
What are the prime factors of (-8)/(-1 - 1)*(7 + 3)?
2, 5
Suppose r + 4*r - 755 = 5*h, 4*r - 568 = -5*h. List the prime factors of r.
3, 7
Let z = 1 + 3. Suppose 0 = -z*b - 3 + 31. What are the prime factors of b?
7
Let g(d) = 3*d - 6. Let p be g(6). Let m be (-2)/3 + 32/p. Suppose -v + m*v - 10 = 0. What are the prime factors of v?
2, 5
Let p(l) = -65*l - 5. What are the prime factors of p(-1)?
2, 3, 5
Let y = 6 + -1. Let d = y + 2. What are the prime factors of d?
7
Let j be 1*53 - (-11 + 14). Suppose -j + 20 = -5*q. List the prime factors of q.
2, 3
Let l be 4/(-10) + 7/5. Let z(g) = 2*g + 1. Let j be z(l). What are the prime factors of (-22)/(-6) + j/9?
2
Let p(c) = c**2 - 4*c - 1. Let t(j) = -2*j**2 + 8*j + 1. Let d(i) = -5*p(i) - 3*t(i). Let g be d(4). Suppose r = 6 - g. What are the prime factors of r?
2
Let v = 113 + -38. List the prime factors of v.
3, 5
Let y(u) = 3*u**2 + 2*u + 11. List the prime factors of y(-6).
107
Let j = -20 + 84. What are the prime factors of j?
2
Suppose 0*j + 21 = -3*j - 3*k, 2*j + 4*k = -8. What are the prime factors of j/3*(-54)/30?
2, 3
Let a = 23 - 9. What are the prime factors of a?
2, 7
Let z = 81 + -57. What are the prime factors of z?
2, 3
Suppose 2*j - 2717 = -9*j. List the prime factors of j.
13, 19
Let i(x) = -x**2 - 13*x - 7. Suppose 4*m + 40 = 4. Let c be i(m). Suppose y - 27 = -4*o, 0 = 5*o - 2*y - c - 21. List the prime factors of o.
2
Suppose 4*p = -8, -4*r + 3*p = 10 - 0. Let s be 1/r*2*-10. Suppose -s*n = -n - 16. List the prime factors of n.
2
Let x be 4/(-12) + 326/6. List the prime factors of x/(-12)*2/(-3).
3
Let v = -17 - -23. List the prime factors of v.
2, 3
Let q = 1 + -2. Let r(f) = f**2 - f. List the prime factors of r(q).
2
Let w(t) = t**3 - 3*t**2 - 3*t - 1. Let p be w(4). Suppose -m + 23 + p = 0. Let j = m - 18. List the prime factors of j.
2
What are the prime factors of (-16)/(-10)*50/2?
2, 5
Suppose 5*v + 12 = v, -4*f + 262 = -2*v. What are the prime factors of f?
2
Let b(u) be the second derivative of -u**5/20 + 5*u**4/12 + 7*u**3/6 + u**2/2 - 4*u. List the prime factors of b(6).
7
Suppose 4*w + 0*w + 92 = 0. Let n = -42 - w. Let c = n + 32. What are the prime factors of c?
13
Suppose 3*p = 7*p - 96. Suppose m - 4*b = 7, p = -3*m - 4*b + b. Let g(s) = -s**2 - 6*s + 6. What are the prime factors of g(m)?
11
Let s(l) = -57*l. Let b be s(-1). What are the prime factors of (-8)/44 + b/11?
5
Let h(z) = -z + 5. Let y be h(7). What are the prime factors of y + 2/(-2)*-12?
2, 5
Let f(y) = y**3 + 5*y**2 + 3*y + 2. Let w be f(-4). Let s = 10 - w. Suppose -r = -s + 2. What are the prime factors of r?
2
Let n = -76 + 86. List the prime factors of n.
2, 5
Let y = -9 - -13. Let f be (35/(-21))/((-1)/3). Suppose -3*j - y = -f*j. What are the prime factors of j?
2
Let j(s) be the first derivative of -s**3/3 - 5*s**2/2 + 8*s - 1. Let i be j(-6). Suppose -i*y + 10 = -22. List the prime factors of y.
2
Let o be (-12)/28 - (-93)/21. Suppose 52 = 2*m + 4*f, -3*m - 2*m = o*f - 106. What are the prime factors of m?
2, 3
Suppose 12 = -4*k, 4*k - 6 = -3*y + 2*k. List the prime factors of y.
2
Suppose 7*x + 120 = 12*x. List the prime factors of x.
2, 3
Let i = 6 + -4. Let b be i*(-3)/6 - -5. Suppose 0 = x - b*x + 15. List the prime factors of x.
5
Let c(s) = s**2 + 2*s + 5. List the prime factors of c(-3).
2
Suppose -3*y - 96 = -5*y. Let x(v) = 3*v**2 - v. Let o be x(1). Suppose 0 = -o*i - 12 + y. List the prime factors of i.
2, 3
What are the prime factors of 8/36*-1 - 742/(-18)?
41
Let t be (8 + -2)/((-4)/(-2)). Suppose 0 = 3*o - 1 - 2. Let x = t - o. What are the prime factors of x?
2
Let d(l) = -62*l + 17. List the prime factors of d(-2).
3, 47
Let o be (18/4)/(1/2). Suppose u = 2*u - o. Let i = 19 - u. What are the prime factors of i?
2, 5
Let s(o) = -1 + 7*o**2 - 4*o + 12*o**2 + 2*o. List the prime factors of s(-1).
2, 5
Suppose -3*l + 2*d = -33, d - 33 = -l - 3*l. Suppose -l - 67 = -4*y. List the prime factors of y.
19
Let h(z) = 6*z - 6. Let a be h(4). Suppose 6*t + a = 3*t. List the prime factors of (2/t)/(3/(-45)).
5
Suppose 3*f - 33 = 3. List the prime factors of f.
2, 3
Let m(g) = g**2 - g - 1. Let l be 3/1*(-1)/(-3). Let i(z) = -5*z**2 - 3*z. Let n(u) = l*i(u) + 4*m(u). List the prime factors of n(-6).
2
Let c(u) = u**3 - 4*u**2 - 5*u + 7. Let o be c(5). Su
|
{
"pile_set_name": "DM Mathematics"
}
|
{n: 1, b: 3, o: 1, s: 2, i: 5}. What is prob of sequence snbs?
1/1980
What is prob of sequence bb when two letters picked without replacement from {b: 3, q: 1}?
1/2
What is prob of sequence wke when three letters picked without replacement from swkwoweekweeeeeeoeo?
4/323
Calculate prob of sequence ed when two letters picked without replacement from {e: 1, r: 2, d: 3, w: 1, v: 10}.
3/272
Calculate prob of sequence mou when three letters picked without replacement from cmxcmmcaxcou.
1/440
Two letters picked without replacement from {o: 2, e: 4, g: 1, v: 1, t: 1}. What is prob of sequence gv?
1/72
Calculate prob of sequence ll when two letters picked without replacement from lluge.
1/10
Two letters picked without replacement from bssssb. What is prob of sequence sb?
4/15
Calculate prob of sequence nni when three letters picked without replacement from nnninnnnninnnni.
66/455
What is prob of sequence st when two letters picked without replacement from tstssotsooosss?
3/26
What is prob of sequence bb when two letters picked without replacement from {a: 1, k: 4, b: 3, v: 3, e: 4, z: 5}?
3/190
What is prob of sequence cm when two letters picked without replacement from tttmmtttccmdmmmdmtm?
8/171
Calculate prob of sequence okqh when four letters picked without replacement from {h: 5, q: 1, i: 2, k: 1, o: 1}.
1/1008
Calculate prob of sequence guzg when four letters picked without replacement from tuuuzuguugqgquqtngzu.
8/4845
Calculate prob of sequence gmrk when four letters picked without replacement from mmkrrmrrmmmkgmrmmmfr.
1/969
What is prob of sequence ffff when four letters picked without replacement from {z: 3, f: 1, b: 3, j: 3}?
0
Calculate prob of sequence ttn when three letters picked without replacement from {x: 4, t: 3, n: 1}.
1/56
Two letters picked without replacement from {r: 2, t: 4, k: 3, z: 2}. What is prob of sequence rk?
3/55
Three letters picked without replacement from camrlmcgaamaaca. Give prob of sequence rag.
1/455
Calculate prob of sequence fxjf when four letters picked without replacement from {f: 5, x: 2, j: 4}.
2/99
Three letters picked without replacement from {d: 6, q: 2}. Give prob of sequence qdq.
1/28
Calculate prob of sequence ze when two letters picked without replacement from {t: 1, z: 2, h: 4, o: 1, e: 4, g: 6}.
4/153
Calculate prob of sequence nn when two letters picked without replacement from nbvnbvbv.
1/28
Three letters picked without replacement from piypp. What is prob of sequence ppi?
1/10
What is prob of sequence sx when two letters picked without replacement from {x: 5, s: 3}?
15/56
Four letters picked without replacement from dddlldlddl. Give prob of sequence lddl.
1/14
What is prob of sequence oo when two letters picked without replacement from qooqoooooooooqqqooq?
26/57
Three letters picked without replacement from ffccmmfmnim. Give prob of sequence fmm.
2/55
Two letters picked without replacement from nnciicci. What is prob of sequence cc?
3/28
Calculate prob of sequence bab when three letters picked without replacement from baebb.
1/10
Two letters picked without replacement from iikkikkk. What is prob of sequence ik?
15/56
What is prob of sequence rv when two letters picked without replacement from {r: 4, v: 3, j: 7, n: 1, f: 2}?
3/68
Calculate prob of sequence pi when two letters picked without replacement from {i: 7, x: 10, p: 1}.
7/306
What is prob of sequence hs when two letters picked without replacement from mhshmmshshmshmmhh?
7/68
Calculate prob of sequence ezee when four letters picked without replacement from eeeeezz.
1/7
Calculate prob of sequence soh when three letters picked without replacement from {s: 5, o: 1, h: 1, b: 5}.
1/264
Calculate prob of sequence tttb when four letters picked without replacement from {b: 2, a: 1, t: 4}.
2/35
Four letters picked without replacement from {h: 15, n: 3}. Give prob of sequence hnhn.
7/408
Calculate prob of sequence hhe when three letters picked without replacement from rhrrrheheeree.
5/286
Two letters picked without replacement from {i: 6, v: 2}. Give prob of sequence ii.
15/28
Two letters picked without replacement from ylylyy. Give prob of sequence yy.
2/5
Four letters picked without replacement from kffkkf. What is prob of sequence kfkf?
1/10
Calculate prob of sequence dd when two letters picked without replacement from xxxxxdxxd.
1/36
What is prob of sequence xoq when three letters picked without replacement from tttqutuoxtxxt?
1/572
Calculate prob of sequence rd when two letters picked without replacement from {z: 9, d: 1, r: 3, c: 3, i: 1, m: 2}.
1/114
Calculate prob of sequence ddv when three letters picked without replacement from {q: 3, p: 3, k: 4, d: 3, v: 4, n: 3}.
1/285
Four letters picked without replacement from {t: 1, k: 2, p: 7, d: 1, i: 6, z: 2}. Give prob of sequence kipk.
7/7752
What is prob of sequence yyh when three letters picked without replacement from mymmyymyymmmymhmmmh?
10/969
Calculate prob of sequence xxax when four letters picked without replacement from axxaxxaxxx.
1/8
What is prob of sequence lll when three letters picked without replacement from {o: 3, y: 5, l: 5}?
5/143
Four letters picked without replacement from {c: 4, e: 1, x: 2, n: 7, q: 4}. Give prob of sequence cnce.
7/6120
Two letters picked without replacement from wwtwtw. Give prob of sequence wt.
4/15
Two letters picked without replacement from {p: 1, l: 1, x: 1, n: 2}. Give prob of sequence ln.
1/10
What is prob of sequence ut when two letters picked without replacement from {v: 1, u: 1, t: 1}?
1/6
Two letters picked without replacement from xxxaxxaxxxxxxxxxxxx. What is prob of sequence aa?
1/171
Calculate prob of sequence tpv when three letters picked without replacement from {t: 1, p: 1, d: 1, v: 1, s: 1}.
1/60
Calculate prob of sequence huz when three letters picked without replacement from uihuunnxuzuzz.
5/572
Two letters picked without replacement from wwwvwvwwvw. Give prob of sequence vv.
1/15
Two letters picked without replacement from {v: 5, i: 5, x: 6, c: 3, u: 1}. Give prob of sequence vu.
1/76
Three letters picked without replacement from {r: 5, d: 7}. Give prob of sequence rdr.
7/66
What is prob of sequence xn when two letters picked without replacement from xxgxnfnxgxgfcx?
6/91
Calculate prob of sequence jbtj when four letters picked without replacement from {b: 8, j: 10, t: 1}.
5/646
What is prob of sequence bwh when three letters picked without replacement from {y: 7, b: 2, w: 4, h: 2, z: 4, p: 1}?
2/855
Calculate prob of sequence cfr when three letters picked without replacement from pfsspycyr.
1/504
What is prob of sequence ye when two letters picked without replacement from {x: 2, u: 2, d: 1, e: 1, k: 1, y: 1}?
1/56
Calculate prob of sequence ftz when three letters picked without replacement from zfffggfffgtffzfzzgfg.
1/171
Calculate prob of sequence sj when two letters picked without replacement from {j: 3, s: 1, l: 5, k: 1}.
1/30
What is prob of sequence oos when three letters picked without replacement from xscvrro?
0
What is prob of sequence jj when two letters picked without replacement from jiji?
1/6
Two letters picked without replacement from {c: 4, n: 4, l: 6}. Give prob of sequence cc.
6/91
What is prob of sequence ch when two letters picked without replacement from hchhchhhhhchhchhcch?
13/57
Calculate prob of sequence qmz when three letters picked without replacement from {q: 9, z: 2, m: 2}.
3/143
Calculate prob of sequence jx when two letters picked without replacement from {x: 2, p: 2, j: 2}.
2/15
Two letters picked without replacement from {h: 2, l: 2, s: 1, z: 1, o: 1}. What is prob of sequence zh?
1/21
Two letters picked without replacement from uulllyllyu. Give prob of sequence uu.
1/15
Calculate prob of sequence qqmq when four letters picked without replacement from {f: 2, p: 2, v: 1, m: 1, q: 6}.
1/99
Four letters picked without replacement from eeoeeyoeu. What is prob of sequence euee?
5/252
Three letters picked without replacement from {c: 6, m: 5, v: 1, i: 1, r: 2}. What is prob of sequence ric?
2/455
Two letters picked without replacement from {p: 1, q: 3, x: 1}. Give prob of sequence qx.
3/20
Calculate prob of sequence zddf when four letters picked without replacement from {z: 6, e: 1, d: 6, f: 4}.
3/238
Two le
|
{
"pile_set_name": "DM Mathematics"
}
|
is b rounded to one decimal place?
0.6
Let d = -89929 - -244929. What is d rounded to the nearest 100000?
200000
Let f = 28932270 - 28932279.0999345. Let r = 9.1 + f. Round r to 5 decimal places.
0.00007
Let i(k) = -6982*k**2 - 41*k + 593. Let q be i(11). What is q rounded to the nearest 100000?
-800000
Let u = 4374.318 - 4371. Round u to the nearest integer.
3
Let n = -47 - -75. Suppose 5*q = 3*o - n, -3*o + 5*q = 2*q - 24. Let w be (-120)/(o/(-9)*3/2). Round w to the nearest 100.
100
Let v = -0.026749 - 8.665851. What is v rounded to one decimal place?
-8.7
Let x = 2742165269.29978 - 2742297744. Let p = x + 132410.7. Let c = p - -64. Round c to four decimal places.
-0.0002
Let f = 83 - 86.9. Let y = f + 5.9. Let g = y + -2.0001. Round g to four dps.
-0.0001
Let t = 34.3175 + -0.0175. Let s = t + -34.300000318. Round s to seven decimal places.
-0.0000003
Let j = 65.25886 - 64.73. What is j rounded to 3 decimal places?
0.529
Let l = 93.844 + -94. Let a = 1923 + -1922.8633. Let h = a + l. Round h to 3 decimal places.
-0.019
Let a = -0.00306 - -0.36036. Round a to one dp.
0.4
Let d = 793.52 + -824. What is d rounded to 0 dps?
-30
Let b = 29107 + -29106.999974994. Round b to six dps.
0.000025
Let b(s) = 792*s**2 + 103*s - 4835. Let w be b(45). Round w to the nearest ten thousand.
1600000
Let c = 9.8825 - 11.84. Round c to 2 dps.
-1.96
Let n = 144605 + -78805. Suppose -43*l + n = -33*l. Round l to the nearest one thousand.
7000
Let f be (-9 + 133)*(-753871)/(-4). Suppose 3*o = -d + f, 5*o + 3*d - 16900008 - 22049995 = 0. Round o to the nearest 1000000.
8000000
Suppose 6*c = 5*c + 4*a + 236, -4*c = -2*a - 1014. What is c rounded to the nearest 10?
260
Let r be ((-7)/1 - (-7 - 6)) + 10823/(-1). Round r to the nearest one hundred.
-10800
Let b = -5.1 + 1.6. Let u = -3.408 - b. Let z = u + -0.0981. What is z rounded to two dps?
-0.01
Let w = -7.097 - -7.097021275. What is w rounded to seven decimal places?
0.0000213
Let m = 1009.0001966 - 1009. What is m rounded to four dps?
0.0002
Let c be -136800*(-51)/(510/(-2020)). What is c rounded to the nearest 100000?
-27600000
Let z = 2883 - 1704. Let j = z - 798. Let q = -380.99998741 + j. Round q to 6 dps.
0.000013
Suppose 3*u + 327 = 54. Let q = -722 + u. Let x = q + 571. Round x to the nearest 10.
-240
Let b(s) = 2. Let j(z) = 167039*z - 146. Let i(r) = -5*b(r) + j(r). Let y be i(4). What is y rounded to the nearest one hundred thousand?
700000
Let l be ((-2)/(-4))/(33*(-15)/(-9891090)). Round l to the nearest one thousand.
10000
Let s = 166.646 + 7.314. What is s rounded to the nearest 10?
170
Let p = -8633 + 2241.4. Round p to the nearest 1000.
-6000
Let m = -15.169334 + 15.19. Round m to three decimal places.
0.021
Let k = 598691 - 598690.988200446. Let h = -0.0118 + k. Round h to 7 dps.
-0.0000004
Let r = 1.73814332 - -0.57170538. Let w = r + -2.31. What is w rounded to 5 decimal places?
-0.00015
Let f(x) = -x**2 + 3*x + 33. Let r be f(-4). Suppose 26*l = 29*l - 4*m + 30090020, -30090025 = 3*l - r*m. What is l rounded to the nearest one million?
-10000000
Suppose -9*u - 840662 = -280412. Let k be 32*(175/(-15))/(4/u). Round k to the nearest one million.
6000000
Let g = 18 - -15. Let k be g/(4 - 4407279/1101819). Let c be -3 + (-75)/(-20) - k/(-12). What is c rounded to the nearest one hundred thousand?
-1000000
Let k(p) = -703998*p + 10. Let c = 50 - 55. Let f be k(c). Suppose -9*q + q = -f. Round q to the nearest 100000.
400000
Suppose 0 = -a + 5*a - 3*g + 242, -g - 188 = 3*a. Let d = 770 - a. Round d to the nearest 100.
800
Let s = -1037965.1 - -1038765.0151. Let p = s - 800. Round p to two decimal places.
-0.08
Let w be 109 + 1/(2 - 1). Suppose 2*g + w = 2*x, 3*g + 3*x + 165 = -0*x. Let s be (32/10)/((-11)/g). What is s rounded to zero dps?
16
Let a = 0.01535 - 0.012567. Round a to 3 dps.
0.003
Suppose 4*i - 1540 = 2*i. Suppose i - 2374 = -2*s. Suppose -2122 = -3*y - s. Round y to the nearest one hundred.
400
Suppose -7*n + 11*n = -5138508. Let d = n + 2140627. Round d to the nearest 10000.
860000
Let v = 0.0664 - 117.5664. Let d = v - -115.303. What is d rounded to one dp?
-2.2
Let p = 192 - 2089. Let y = p - -1793.3. Round y to the nearest ten.
-100
Let w = 2.62 - -121.38. Let v = 122 - w. Let m = v - -5.9. Round m to zero decimal places.
4
Suppose 5*u = 5*h + 10, 2*h + 0*u - u = 0. Suppose -h*r - 499 = -5*y, 4*r - 6*r - 4 = 0. Suppose 105*n - y*n = 2106. What is n rounded to the nearest ten?
350
Suppose -4*h = o - 40, -2*o + h - 14 = -58. Let g be (9/o)/3 + (-300000005)/40. What is g rounded to the nearest one million?
-8000000
Let s = 87 + -243. Let m be (-1 - 83/2)*s. Round m to the nearest one thousand.
7000
Let q = -792751.0362 + 792335. Let l = -1413 - -997. Let m = q - l. What is m rounded to 2 decimal places?
-0.04
Suppose -3*q - 8*w - 11 = -3*w, -4*q = -2*w - 20. Suppose 19*l = q*f + 15*l - 13100, 4*f = 5*l + 17465. Round f to the nearest one thousand.
4000
Let v(m) be the second derivative of 137*m**4/12 - 44*m**3/3 + 14*m**2 + 29*m + 5. Let r be v(22). Round r to the nearest 10000.
60000
Let u = 1.90861 - 1.972. Let t = -0.0661 - u. Round t to four dps.
-0.0027
Let c = -232063744.5000251 - -232063733. Let t = c - -11.5. Round t to 5 dps.
-0.00003
Let m = -606 + 634. Let g be ((-16)/m)/(-2) - (-2352000016)/(-56). What is g rounded to the nearest 1000000?
-42000000
Let o = -437 - -891. Let h = -454.0976 + o. Round h to 3 decimal places.
-0.098
Let x = -6.01 - -458.01. Let l = -451.999998048 + x. What is l rounded to 7 decimal places?
0.000002
Let w = -2866242847 + 2864797072.551. Let u = -1447146 - w. Let h = u + 1371. Round h to two decimal places.
-0.55
Suppose -2*i - 22*i + 159831600 = 114*i. Round i to the nearest one hundred thousand.
1200000
Let w = -409.4 - -409.4000014398. What is w rounded to seven decimal places?
0.0000014
Let t = 9.32 - 0.32. Let c = t - 6.4. Let x = 2.8 - c. What is x rounded to 1 dp?
0.2
Let u = -14089.2 + 10616. Round u to the nearest one hundred.
-3500
Let k = 4778 + -4612.95. What is k rounded to 0 decimal places?
165
Let q = 27 - 20. Suppose -6750 = -12*o + q*o. Suppose -f + o = 4*x + 4*f, 1028 = 3*x - 4*f. What is x rounded to the nearest one hundred?
300
Let v be 18 - (0/3)/(-1). Let o = v + -21. Let f be 11040004/(-12) - (2/2)/o. Round f to the nearest 100000.
-900000
Let f = -0.1504 + 7.2204. Let i = 3 + 5.5. Let l = i - f. Round l to the nearest integer.
1
Let u = -1117 - 566. Let c be (2722/(-8))/((-26)/(-312)). Let o = u - c. What is o rounded to the nearest 100?
2400
Let c = -640.132753 + 640.08. Round c to two dps.
-0.05
Suppose -s - 6*w + 518989 = -7*w, 1037976 = 2*s - w. Let y = s + -799987. What is y rounded to the nearest one hundred thousand?
-300000
Let b = 6181047.9783 + -6181385. Let r = b - -337. What is r rounded to 3 decimal places?
-0.022
Let d = -291375895652.000000786 + 291375894949. Let g = -703 - d. Round g to seven decimal places.
0.0000008
Let l = 224.85 - 237. Let f = 12.17955 + l. Let w = f + -0.031. Round w to four decimal places.
-0.0015
Let z = -82 - -146. Let m = -19 + z. Let d = -44.954 + m. What is d rounded to 1 dp?
0
Let n = 17 + -16.967. Let r = -6.807 - n. Round r to 1 decimal place.
-6.8
Let s = -4097.000000837 + 4097. Round s to seven decimal places.
-0.0000008
Let d = -110 + 109.69. Let r = d + 0.272. What is r rounded to two decimal places?
-0.04
Let r = 0.11496 + -0.113368. What is r rounded to three decimal places?
0.002
Let b(r) = r - 9. Let a be b(-4). Let l = 4 - a. Let s be 18987 + l - (4 + 0). Round s to the nearest 10000.
20000
Let q = -235 + 235.99. Let p = 860.275 + -861. Let m = q + p. Round m to two dps.
0.27
Let a = -2.103851 - -24.604071. Let i = -22.5 + a. What is i rounded to 3 decimal places?
0
Let m(t) = 85539*t**3 + 7*t**2 - 6*t + 23. Let n be m(8). Suppose -v + n = 9216391. What is v rounded to the nearest one million?
35000000
Let f be (-8 + 116/16)/((-6)/32). Suppose f*j + 864 = -3*u, 2*u - 5*j = u - 269. What is u rounded to the nearest one hundred?
-300
Let j = -11207.999918767 - -11208. Round j to 5 decimal places.
0.00008
Let s = 5591012 + 3350977. Let q = s + -5546008. Let t = -9004019 - q. What is t rounded to the nearest one million?
-12000000
Let w = -19.9 - -0.9. Let o = -18.
|
{
"pile_set_name": "DM Mathematics"
}
|
4*o**4 - 59*o**2 + 17*o + 2 wrt o.
-184268496*o
What is the first derivative of 17*a*c**3 + a*c**2 - 3591*a - 340*c**3 - 3*c - 314 wrt a?
17*c**3 + c**2 - 3591
What is the first derivative of -37966100*s*z - 263498*s + 49 wrt z?
-37966100*s
What is the third derivative of -26*a**4*j**3 - 5519*a**4 - a**3 - 4*a**2*j**3 - 161*a**2 - 11030 wrt a?
-624*a*j**3 - 132456*a - 6
What is the derivative of 21188*u**2 - 28*u - 14336362 wrt u?
42376*u - 28
What is the third derivative of 1844799*j**3*k**3 - 4*j**3*m - 56*j**2*k**3*m - 2*j**2 - 97*j*m + 21 wrt j?
11068794*k**3 - 24*m
What is the second derivative of -22*p*r*t**2 + 2*p*r*t + 99*p*r - 6*p*t**2 - r*t**2 + 109*r*t + r - 355*t**2 - 10*t wrt t?
-44*p*r - 12*p - 2*r - 710
What is the derivative of -252696491*q**2 - 352132647?
-505392982*q
Find the second derivative of -7*m*p**2 + 269*m*p - m - 2504295*p**2 + 147*p + 14 wrt p.
-14*m - 5008590
What is the second derivative of 27353441*i**3*t**3 - 28325420*i**3*t wrt t?
164120646*i**3*t
What is the second derivative of 974857408*l**2 + 10754*l - 8426 wrt l?
1949714816
Find the third derivative of 276439*a**4 + 230*a**3 - 638*a**2 + 144706 wrt a.
6634536*a + 1380
Find the second derivative of -9716254*y**2 + 51396456*y.
-19432508
What is the third derivative of -479211856*j*k**3 - 28479*j*k**2 + 47*k**2 + 16*k wrt k?
-2875271136*j
Find the second derivative of t**2*x**3 - 8*t**2*x**2 - 406170*t**2 - 7*t*x**2 - 335*x**3 - 41*x + 5 wrt t.
2*x**3 - 16*x**2 - 812340
Find the second derivative of -1702838*q**5 - 3*q**4 - 2*q**2 + 1223369*q - 4 wrt q.
-34056760*q**3 - 36*q**2 - 4
Differentiate 40444801*u**3 - 3*u**2 - 109495395.
121334403*u**2 - 6*u
What is the derivative of -112437375*t**3 - 165783917?
-337312125*t**2
What is the third derivative of -1405497*n**5 + 11*n**4 - 42393535*n**2 wrt n?
-84329820*n**2 + 264*n
What is the first derivative of -795*k*p - 877*k - 8472006*p wrt k?
-795*p - 877
Find the third derivative of -514*w**4 - 126602*w**3 - w**2 - 717*w + 434 wrt w.
-12336*w - 759612
Find the first derivative of 4*k**2*o*z**3 + 5*k**2*o*z**2 + 383*k**2*w - 7*k**2 + 572*k*o*w*z**3 - 2*k*o*z**3 + 201*k*o*z**2 - 3*o*w - 5 wrt w.
383*k**2 + 572*k*o*z**3 - 3*o
What is the first derivative of 29*m*o - 431702*m - 2*o - 407111 wrt m?
29*o - 431702
What is the third derivative of -18624*h*m**2*t**2 + 3*h*m*t**3 - 28*h*m*t - 7*h*t**2 + 4941375*m**2*t**3 + m**2 wrt t?
18*h*m + 29648250*m**2
Find the third derivative of -49460935*c**3 - 437*c**2 - 382*c + 2 wrt c.
-296765610
Find the third derivative of 202298568*i**4 - 77276*i**2 - 3*i - 100 wrt i.
4855165632*i
What is the derivative of -453709626*b**2 + 391941252 wrt b?
-907419252*b
Find the first derivative of -97072*l**2*u**2 + 4*l**2*u - l**2 - 1019101 wrt u.
-194144*l**2*u + 4*l**2
Find the second derivative of -58020737*g**2 - 9853*g - 573 wrt g.
-116041474
What is the second derivative of 2859102*w**2 - 2*w - 2580771 wrt w?
5718204
What is the first derivative of -53507689*i + 36038034?
-53507689
Find the second derivative of -496*v**3 - 1573*v**2 + 12040373*v wrt v.
-2976*v - 3146
What is the second derivative of 15573351*a**2 + 26942144*a?
31146702
Find the second derivative of -97778*q**3 + 2481*q**2 - 97510774*q - 4.
-586668*q + 4962
What is the second derivative of 369*c**3*k - 2*c**3*s - 722*c**2*s**2 - 91*c*k*s**2 - 2*c*s**2 + 37*c*s - k*s + 2 wrt c?
2214*c*k - 12*c*s - 1444*s**2
What is the derivative of 198601644*b*f*t**3 - 78*f*t**3 - f*t - 7711*t - 6 wrt b?
198601644*f*t**3
Find the first derivative of 170719193*m*x - 57696*x - 201 wrt m.
170719193*x
What is the third derivative of -193*j*s**3*w + j*s**3 + 3*j*s**2*w + 522343*j*w - 5260*s**3*w wrt s?
-1158*j*w + 6*j - 31560*w
What is the second derivative of -9813830*k**2 - 17268*k + 1?
-19627660
Find the third derivative of 6734589*m**5 - 16712869*m**2 - 2.
404075340*m**2
Find the third derivative of -125952599*o**5 - 376378990*o**2 wrt o.
-7557155940*o**2
Find the first derivative of -14880209*j + 45713735 wrt j.
-14880209
Find the third derivative of -5051127*z**6 + 7*z**2 + 51*z - 79 wrt z.
-606135240*z**3
Find the third derivative of 39822008*o*r**4 + 216*o*r**2 - 169*o*r + 7*o + 6*r**2 - 2 wrt r.
955728192*o*r
What is the first derivative of -1034972577*r - 1155267661?
-1034972577
Find the second derivative of 30*h**4 - 145155*h**3 + 7241768*h.
360*h**2 - 870930*h
What is the derivative of -178*d**2*g**2 + 2*d**2 + 2308*d*g**2 - 14705250*d + g wrt g?
-356*d**2*g + 4616*d*g + 1
Differentiate 802018*h**3 - 62*h**2 + 215541414.
2406054*h**2 - 124*h
Find the second derivative of -144217579*p**2 - 11*p - 12337162.
-288435158
What is the third derivative of 35454813*s**3 + 2626096*s**2 - s + 3 wrt s?
212728878
What is the third derivative of -67054624*d**2*g**2*r**3 + d**2*g**2*r - 787*d*g**2*r**2 + d*g**2*r + 3*d*g - 11*d*r**2 + g**2*r**2 - 1 wrt r?
-402327744*d**2*g**2
Find the third derivative of 1257576*t**2*y**3 - 23*t**2*y + t*y**3 - 3*y**3 + 1764*y**2 - 689*y wrt y.
7545456*t**2 + 6*t - 18
Find the second derivative of 2*i**2*r*y + 5*i**2*y**3 - 681792*i**2 + i*r*y**3 - 3*i*r*y + 6*i*y**3 - 1464*i - r*y**3 + 4*y**3 wrt i.
4*r*y + 10*y**3 - 1363584
What is the third derivative of -7973181*f**3 + 3*f**2 + 799*f - 35?
-47839086
What is the third derivative of 2*p**3*t**2 + 75086*p**3*t*y - 68*p**3*t - 241*p**2*t**2*y + p**2*t**2 + 55309*p*t*y wrt p?
12*t**2 + 450516*t*y - 408*t
Find the third derivative of -4482451*x**4 + 3*x**2 - 17565769*x + 2.
-107578824*x
Find the third derivative of -g*w**6 - 6669891*g*w**4 + 299*g*w**2 - g + 1157*w**2 wrt w.
-120*g*w**3 - 160077384*g*w
Find the first derivative of 34435299*m**2 - 14874913 wrt m.
68870598*m
Find the second derivative of 35424*x**3 - 520*x**2 - 8*x - 475578 wrt x.
212544*x - 1040
Find the third derivative of 39398686*p**3 + 48925222*p**2 wrt p.
236392116
What is the first derivative of 25709134*a*l**2*x + 10*a*l**2 - 28988*a wrt x?
25709134*a*l**2
Find the first derivative of 8*i**3 - 25497*i**2 - i + 46270933.
24*i**2 - 50994*i - 1
What is the second derivative of 12705880*y**2 + 178740*y - 2?
25411760
Find the second derivative of 167132881*i**5 - 237340*i + 127.
3342657620*i**3
Find the first derivative of 82917*t**2 + 10054447.
165834*t
What is the third derivative of -9519786*j**4 - 68424*j**2 - 44*j wrt j?
-228474864*j
What is the second derivative of -662335*b**2*h*y**2 + 71*b**2*t*y - 63*b*h*t - b*h*y**2 + 22*b*h*y + 5*b*h - 2*h*t*y + 4*t*y**2 + t*y - 3*y**2 wrt b?
-1324670*h*y**2 + 142*t*y
Find the first derivative of -2999645*c**3 - c - 8550761.
-8998935*c**2 - 1
What is the second derivative of 97867297*x**2 - 9384*x - 6651?
195734594
Find the second derivative of 294516862*q**4 - 252763191*q.
3534202344*q**2
Find the second derivative of c**4 - 6424247*c**3 + 3287247*c wrt c.
12*c**2 - 38545482*c
Find the first derivative of 451608*w**3 - 2*w**2 - 2*w - 36925855 wrt w.
1354824*w**2 - 4*w - 2
Find the third derivative of 75*a**3*g*s - 119291*a**3*s**2 - 4*a**3*s + 7426*a**2*g*s**2 + a**2*s**2 - 84*a*g*s**2 + g*s**2 wrt a.
450*g*s - 715746*s**2 - 24*s
What is the third derivative of 15145404*z**3 + 28703909*z**2?
90872424
Differentiate 19258932*b*n + 650*n + 4885 with respect to b.
19258932*n
What is the third derivative of 13890*b**6 + b**5 - 794*b**3 - 7419470*b**2 - b?
1666800*b**3 + 60*b**2 - 4764
Find the third derivative of 522*k**4 + 17909*k**3 - 55515368*k**2 + 2*k wrt k.
12528*k + 107454
What is the third derivative of 181475766*n**6 + 551*n**2 + 80*n + 906?
21777091920*n**3
Find the third derivative of -2828*n**6 - 114*n**4 - 3*n**3 + 10*n**2 - 13220*n wrt n.
-339360*n**3 - 2736*n - 18
What is the second derivative of 5*h**2*l**2 + h**2*l + 695299*h**2 + 2*h*l**2 + 9811731*l**2 + 2*l + 1 wrt h?
10*l**2 + 2*l + 1390598
Find the first derivative of 9610476*v**3 + 598513.
28831428*v**2
What is the third derivative of -302183957*x**3 - 37284194*x**2 + 10*x wrt x?
-1813103742
Differentiate 12333768*l**2 - 10631894 with respect to l.
24667536*l
Find the third derivative of 414*d**3*x**3 - 58379*d**3 - 2*d**2*x**3 - 31*d**2*x**2 - 16*d*x**3 + 76*x**3 - x**2 wrt d.
2484*x**3 - 350274
What is the second derivative of -82*r**4*s + 10446*r**3*s*y + 2*r*s + 159*r*y +
|
{
"pile_set_name": "DM Mathematics"
}
|
be the first derivative of -x - 2*n**3 + 1/2*n**4 + 8*n + 0*n**2. Find s, given that i(s) = 0.
-1, 2
Let d = -72 - -41. Let j = d + 35. Let -4*a**5 + 10*a**3 - 8 + 8 + 4*a**2 - 6*a**5 - 4*a**j = 0. Calculate a.
-1, -2/5, 0, 1
Let s(r) be the first derivative of -8 - 8/3*r - 5/6*r**4 + 1/9*r**6 + 2/15*r**5 + 8/3*r**2 - 2/9*r**3. Factor s(w).
2*(w - 1)**3*(w + 2)**2/3
Let o(x) be the first derivative of 2*x**6/15 - 2*x**4/3 + 2*x**2 - 16*x + 9. Let m(w) be the first derivative of o(w). Solve m(l) = 0 for l.
-1, 1
Factor 1/11*f**2 - 17/11 - 16/11*f.
(f - 17)*(f + 1)/11
Let x(s) = 2*s**2 + 4*s + 12. Let l(a) = a**2 + 22*a + 41. Let n be l(-20). Let c(h) = -h + 2. Let w(b) = n*x(b) - 6*c(b). Factor w(i).
2*i*(i + 5)
Factor -435 + 315 + 60*n + 10*n**2 + 236*n.
2*(n + 30)*(5*n - 2)
Solve 4/5*f**2 + 16 - 84/5*f = 0 for f.
1, 20
Factor 3*x - 4*x**4 - 3 + 4*x**2 + 3 - 6*x + x + 2*x**5.
2*x*(x - 1)**3*(x + 1)
Let u be 14/7 - (2 + -2). Factor -4*k**u + 2*k**2 + 6*k + 4 - 4.
-2*k*(k - 3)
Let d(a) be the first derivative of 1922*a**3/3 - 248*a**2 + 32*a - 237. Factor d(u).
2*(31*u - 4)**2
Let t(w) be the third derivative of -w**8/20160 - w**7/1260 - 13*w**5/60 + 12*w**2. Let d(l) be the third derivative of t(l). Factor d(c).
-c*(c + 4)
Let j(a) be the first derivative of a**5/8 + 21*a**4/32 + a**3/6 + 282. Factor j(n).
n**2*(n + 4)*(5*n + 1)/8
Let h(f) be the third derivative of -f**5/270 + 4*f**4/27 - 64*f**3/27 - 77*f**2. Find n, given that h(n) = 0.
8
Suppose -4*l + 17 = -7. Suppose 3*a - l = -0*a. Factor -30*g**2 - 5*g - a*g**4 - 35*g**3 - 13*g**4 + 5*g**2.
-5*g*(g + 1)**2*(3*g + 1)
Let q be (-55)/(-2) + 2/4. Let f = q + 6. Factor 21*s**5 - 6 - 5*s**4 - 12*s**3 + f*s**2 - 9*s + 8*s**2 - 31*s**4.
3*(s - 1)**3*(s + 1)*(7*s + 2)
Suppose 0 = 5*m - 5*d + 10, -5*d = 31*m - 35*m - 14. Factor -2/9*p**2 + 0*p**3 + 1/9*p + 0 + 2/9*p**m - 1/9*p**5.
-p*(p - 1)**3*(p + 1)/9
Let b(x) be the third derivative of -x**5/150 - 7*x**4/30 - 13*x**3/15 + x**2 - 5. Factor b(d).
-2*(d + 1)*(d + 13)/5
Let s = 59 - 411/7. Let c = -86 - -604/7. What is p in 0*p**2 + s*p + 0 - c*p**3 = 0?
-1, 0, 1
Find h, given that -12*h**2 - 64 - 68 - 16*h**3 + 16*h + 130 + 14*h**4 = 0.
-1, 1/7, 1
Let w(y) be the second derivative of 5/3*y**4 + 0*y**2 + 16*y - 5/4*y**5 + 0*y**3 + 1/6*y**6 + 0. Factor w(z).
5*z**2*(z - 4)*(z - 1)
Let c(t) be the second derivative of -t**5/70 + 4*t**4/21 - t**3/3 + 4*t - 27. Factor c(l).
-2*l*(l - 7)*(l - 1)/7
Let m be 2*(2 - (-3 + 3)). Find a, given that -a + 0*a + 7*a + m*a - 2*a**2 - 8 = 0.
1, 4
Let k(g) be the first derivative of -2*g**5/115 - 5*g**4/46 - 8*g**3/69 - 221. Determine t, given that k(t) = 0.
-4, -1, 0
Let g = -371/26 + 205/13. What is y in 2*y**2 - 11/2*y - g = 0?
-1/4, 3
Let r = 19 - 49. Let l = r - -30. Factor 0*u + 0*u**2 - 3/5*u**5 - 3/5*u**4 + l*u**3 + 0.
-3*u**4*(u + 1)/5
Let y be -2 + (-63)/9 - (-952)/88. Determine j, given that y*j - 2/11*j**2 - 50/11 = 0.
5
Factor -3/2*v**2 - 21*v + 0.
-3*v*(v + 14)/2
Let l(r) = -11*r**2 - 13*r - 2. Suppose 0*k = k - 2. Let b(y) = 0*y - 1 - 6*y - 4*y**k - y**2. Let i(s) = -9*b(s) + 4*l(s). Suppose i(m) = 0. Calculate m.
-1
Let t be (1 - (1 - 0))/((-161)/7 + 24). Factor -3*g + t - 9/2*g**2 - 3/2*g**3.
-3*g*(g + 1)*(g + 2)/2
Let c(t) = -t**2 + 2*t - 5. Let q(j) = 1. Suppose -3*k - 6 = -g + 3, -2*g + 2 = -2*k. Let o(v) = k*q(v) - c(v). Find w, given that o(w) = 0.
1
Suppose -3/4 + 13/8*g**2 - 7/8*g**4 + 19/8*g - 19/8*g**3 = 0. What is g?
-3, -1, 2/7, 1
Let p(t) = -t**2 - 4*t + 1. Let x(o) = -13 + 7 + 7. Let i(c) = -2*p(c) + 10*x(c). Let i(m) = 0. Calculate m.
-2
Let c = -32 - -43. Let l = c + -8. Factor -l*h**3 - h**2 - 9*h**2 + 4*h**2.
-3*h**2*(h + 2)
Factor -4*z - 16/11 - 10/11*z**2.
-2*(z + 4)*(5*z + 2)/11
Let o(j) be the second derivative of -j**7/357 - j**6/51 + 12*j**5/85 - 2*j**4/51 - 32*j**3/51 - 3*j - 25. Suppose o(u) = 0. Calculate u.
-8, -1, 0, 2
Let j = 38 + 8. Let p be -4 + 1 + (-2)/(-20)*j. Suppose -2/5*d**2 - p + 8/5*d = 0. Calculate d.
2
Let f be (-435)/(-300) + (-25)/20. Let 0 - x**2 - f*x**4 + 4/5*x**3 + 2/5*x = 0. What is x?
0, 1, 2
Let u(t) be the second derivative of -t**5/5 - 14*t**4/3 - 128*t**3/3 - 192*t**2 + 14*t - 3. Factor u(r).
-4*(r + 4)**2*(r + 6)
Let k be (36/42)/(6/56). Let u be (-1*2/k)/(180/(-288)). Suppose 0 - 2/5*o + u*o**2 = 0. What is o?
0, 1
Suppose 7*p - 3*p = 132. Let y be 2*p/(-12)*-2. Suppose -9*g**4 - g**3 - 8*g**5 + y*g**4 + g**3 = 0. Calculate g.
0, 1/4
Find d, given that -128/3 - 32*d - 2/3*d**3 - 8*d**2 = 0.
-4
Suppose -11 - 9 = -5*w. Suppose -38*u**w - 24*u + 80*u**4 - 44*u**4 + 2*u**3 + 16*u**2 = 0. Calculate u.
-3, 0, 2
Determine k, given that 147*k + 161 - 4*k**2 - 31 + 20 + k**2 = 0.
-1, 50
Suppose -11 = -6*p + a, a = -0*p - p + 3. Determine x, given that -3/7*x**5 + 9/7*x**4 - 27/7 - 30/7*x**p - 9*x + 18/7*x**3 = 0.
-1, 3
Let i(d) be the second derivative of -5*d**7/42 + 2*d**6/3 + 5*d**5/4 + 247*d. What is l in i(l) = 0?
-1, 0, 5
Let n = -29 - -48. Let t = -19 + n. Factor t + 1/5*b**3 + 0*b + 2/5*b**2.
b**2*(b + 2)/5
Let l(w) be the third derivative of w**5/20 - 15*w**4/8 - 8*w**3 + 73*w**2. Solve l(f) = 0 for f.
-1, 16
Let p(u) = -14*u**5 - 10*u**4 - 22*u**3 - 8*u**2 - 6. Let v(s) = 12*s**5 + 10*s**4 + 21*s**3 + 8*s**2 + 5. Let k(x) = 5*p(x) + 6*v(x). Factor k(b).
2*b**2*(b + 1)*(b + 2)**2
Let x(f) = -f**2 + 2*f - 1. Let h(g) = -3*g**2 + 6*g - 11. Let l(c) = h(c) - 5*x(c). Determine z so that l(z) = 0.
-1, 3
Determine h, given that -32*h**4 + 508/3*h**3 + 52*h - 64/3*h**5 - 16/3 - 488/3*h**2 = 0.
-4, 1/4, 1
Let v be 1/6 - (-8 + (-4775)/(-750)). What is g in -3/5*g + v*g**2 + 0 = 0?
0, 1/3
Let y(d) be the second derivative of -d**7/462 + d**6/165 + 9*d**5/55 + 2*d**4/3 + 32*d**3/33 - 5*d - 2. Let y(b) = 0. What is b?
-2, 0, 8
Suppose -g - 80 = -0*g. Let a = g + 402/5. Solve -2/5 + 4/5*b + 0*b**2 + a*b**4 - 4/5*b**3 = 0 for b.
-1, 1
Let o(n) be the first derivative of -n**4/4 + 10*n**3/3 - 4*n**2 + 2*n - 13. Let w be o(6). Solve 98 - w - 2*q**3 = 0 for q.
0
Suppose -7*c - 257 = 373. Let t be (4/c)/((-9)/90). Solve -10/9*y**2 + t + 10/9*y + 2/3*y**4 - 10/9*y**3 = 0 for y.
-1, -1/3, 1, 2
Factor 2/5*y**3 + 34/5*y + 16/5*y**2 + 4.
2*(y + 1)*(y + 2)*(y + 5)/5
Let f(y) = -8*y**4 + 20*y**3 - 22*y**2 + 10*y - 6. Let i(k) = k**4 - k**3 - k**2 + k + 1. Let d(o) = f(o) + 6*i(o). Determine q so that d(q) = 0.
0, 1, 2, 4
Let x(z) be the first derivative of -1/18*z**3 - 2 + 6*z + 1/12*z**2 - 1/24*z**4. Let v(y) be the first derivative of x(y). Find t, given that v(t) = 0.
-1, 1/3
Let c(s) be the first derivative of 2*s**6/3 + 29*s**5/5 + 43*s**4/4 - 19*s**3/3 - 47*s**2/2 - 10*s + 123. Suppose c(a) = 0. What is a?
-5, -2, -1, -1/4, 1
Let n = 53 + -58. Let p be 2/(-3)*3/n. Factor -2/5*j**2 + p*j + 4/5.
-2*(j - 2)*(j + 1)/5
Suppose 0 + 3 = -3*t. Let g(w) = w**3 + 3*w**2 + 6*w + 3. Let m(q) = q**2 - q - 1. Let i(j) = t*m(j) - g(j). Find o such that i(o) = 0.
-2, -1
Let b(u) be the second derivative of -u**5/4 + 5*u**4/4 + 15*u**3 - 135*u. Suppose b(v) = 0. What is v?
-3, 0, 6
Let k = 161 + -159. Determine c, given that 8*c**k - 3*c**2 + 47 - 17 - 21*c - 14*c = 0.
1, 6
Suppose -5*h = -4*a + 6*a, 0 = a. Suppose 5/3*w**2 - 5/3 + h*w = 0. What is w?
-1, 1
Let y(k) = -3*k**3 - 27*k**2 + 63*k - 45. Let b(a) = 4*a**3 + 53*a**2 - 125*a + 91. Let n(g) = 3*b(g) + 5*y(g). Factor n(f).
-3*(f - 4)*(f - 2)**2
Suppose 0 = -2*c - 5*q + 6, 3*c + 3*q - 9 = q. Determine h so that -10*h + 10 - 5*h + 15*h**c - 5*h**4 - 17*h**2 + 12*h**2 = 0.
-1, 1, 2
Let d(v) be the second derivative of 0 + 0*v**3 + 1/60*v**5 + 0*v**4 + 3*v + 7/2*v**2. Let a(l) be the first derivative of d(l). Factor a(k).
k**2
Let j(b) = -b - 3. Let r(m) = -m**2 - m + 1. Let z be r(2). Let t be j(z). Suppose 5*o**2 + 2*o**2 + 2*o + 6*o**3 - o**2 + t*o**4 = 0. What is o?
-1, 0
Let p(u) be the first derivative of u**4 + 12*u**3 + 28*u**2 - 542. Let p(o) = 0. What is o?
-7, -2, 0
Let x(u) = u**3 + u - 2. Let m(s) = -91*s**3 + 168*s**2 + 269*s + 26. Let c(g) = -m(g) - 4*x(g). Factor c(t).
3*(t - 3)*(t + 1)*(29*t + 2)
Let i(j) be the second derivative of 0*j**3 + 0*j**2 - 1/210*j**7 + 1/60*j**4 - 1/150*j**6 + 1/100*j**5 + 0 - 21*j. Find y, given that i(y) = 0.
-1, 0, 1
Let o(w) = w**2 - w - 3. Let x be o(3). Factor y**2 + y*
|
{
"pile_set_name": "DM Mathematics"
}
|
Let c(g) = g**3 - 4*g**2 + 5*g - 2. Is 3 a factor of c(b)?
False
Let f be 2/8 + (-118)/(-8). Suppose 2*w + f = 55. Suppose c + c = w. Does 5 divide c?
True
Let w(s) = -s + 8. Let y be w(6). Suppose y*i + 30 = 3*i. Suppose u + 2*u = i. Does 10 divide u?
True
Suppose 0 = -8*o - 8*o + 1504. Is 19 a factor of o?
False
Let p(g) = -g**3 + 4*g**2 + 7*g - 2. Let m be 38/(-14) - (-6)/(-21). Let n be 6/m - -7 - 0. Is p(n) a multiple of 8?
True
Suppose 0 = -3*v + 9. Let n be 2*243/6 - v. Suppose 5*g = -3 + n. Is g a multiple of 15?
True
Suppose -l + 3 = -3. Let z be 2 + -4*1 + 3. Is 13 a factor of (-3)/l*(-53 + z)?
True
Suppose 0 = 5*t - 9*t + 696. Is t a multiple of 20?
False
Let v = -84 + 132. Is v a multiple of 15?
False
Let g(w) = w**3 + 7*w**2 + 2*w - 2. Suppose -o - 2*o + 35 = -4*r, -5*o = 3*r - 10. Is g(r) a multiple of 19?
True
Let f(z) = -4*z**2 + 3*z - 1. Let g be f(-3). Let h = 25 + g. Is 10 a factor of -2 - ((-1 - 0) + h)?
True
Let n = 0 + 0. Let a = -6 - n. Let j(p) = -p**3 - 6*p**2 - 2*p - 6. Does 5 divide j(a)?
False
Suppose -4*g = 4*y - 172, -3*y + g = 2*y - 227. Is y a multiple of 12?
False
Let j be (4/6)/((-10)/45). Let f be (-4)/(4/j) - -2. Does 5 divide (6 + -4)*f/2?
True
Let y(z) = 3*z + 3. Let q be (2/4)/((-2)/(-20)). Let w be y(q). Let c = w - -2. Does 10 divide c?
True
Let g = -50 - -77. Let i = 2 - 2. Suppose -2*k - k + g = i. Is k a multiple of 5?
False
Let g(m) = 25*m**2 + 4. Does 33 divide g(-2)?
False
Suppose -4 - 2 = -2*l. Let y(s) = -s**3 + 5*s**2 - 3*s - 4. Is y(l) a multiple of 2?
False
Let i(v) = -194*v**2 + 5 + 99*v**2 + 97*v**2 - 4*v. Suppose k + k - 8 = 0. Is 11 a factor of i(k)?
False
Suppose 5*f - 50 = 35. Is f a multiple of 17?
True
Suppose -2 = g, -3*x + 9 = -2*g - 1. Suppose 0*j = b + 4*j + 8, j + 11 = 2*b. Is 1/(b/22)*x a multiple of 7?
False
Let f be (-1 + 166)*(-2 + 3). Suppose 3*a - f = -3*x, -x = -3*x + 10. Does 15 divide a?
False
Suppose 3*o + o + 371 = t, -6 = -2*t. Does 9 divide 1/(-5) + o/(-10)?
True
Suppose -r - 9*u + 13*u + 132 = 0, 0 = 2*u - 2. Is 8 a factor of r?
True
Let w(h) = 2*h + 2. Let z(y) = -y**2 - 7*y + 4. Let u be z(-7). Let m be w(u). Suppose 0 = -m*r + 5*r + 155. Is r a multiple of 12?
False
Is 9 a factor of (-2664)/(-38) - (-8)/(-76)?
False
Let m(r) = -r**3 - 3*r**2 + 6*r + 4. Let t be m(-4). Let v be -2*(-3)/(-12)*t. Let z = v - -7. Is z a multiple of 9?
True
Let t = 3 - 0. Suppose t*h - 5*h = 0. Does 13 divide (h + -5)*(-26)/5?
True
Let m(c) = 118*c**2 - 6*c + 2. Does 13 divide m(1)?
False
Let m = 26 + -14. Does 5 divide m?
False
Let h(t) = -2*t**3 - 3*t**2 + 3*t + 2. Let r be h(-3). Suppose -2 + r = 3*c. Is 6 a factor of c?
True
Suppose w - 2*n + 6 + 3 = 0, 0 = 4*n - 20. Let v be -3 + w - (-10)/1. Does 11 divide (22/v)/((-5)/(-20))?
True
Suppose 3*r - 4*r + 32 = 0. Suppose v = 4*v - 3*t - 87, 0 = v - 2*t - r. Is v - (1 + 1) - 2 a multiple of 14?
False
Let p be 29*1*(1 + 0). Let x = 12 - p. Let o = x + 69. Is 26 a factor of o?
True
Let u(d) = -d**2 + 5*d - 2. Let c be u(3). Does 3 divide ((-2)/c)/((-8)/96)?
True
Let k be (-7)/(14/8) + -2. Is 31 a factor of 237/k*(-2 - 0)?
False
Let j = 774 - 402. Does 62 divide j?
True
Suppose -a + 3136 = 15*a. Does 14 divide a?
True
Suppose 0*y + 2*y + 3*k - 29 = 0, -4*y + 5*k + 25 = 0. Does 2 divide y?
True
Let i be 0/((6 + -2)/2). Suppose i = -2*j - j + 18. Is 6 a factor of j?
True
Let g = 6 + -3. Let u be ((0/g)/1)/(-1). Is 10 a factor of u - -21 - (2 - 2)?
False
Let d = -3 - -5. Suppose 2 = -2*f + 5*o - d*o, 2 = 2*f - 5*o. Does 5 divide 78/f*(-4)/6?
False
Suppose -27 = -4*l + 1. Let t = 11 - l. Is 2 a factor of t?
True
Let i be 8/28 + 72/(-7). Let l(c) = -2*c - 7. Is l(i) a multiple of 6?
False
Let b(n) = -n**2 - 7*n. Let j be b(-7). Let s(u) = -u**3. Let w be s(j). Suppose w = -z - z + 8. Is z a multiple of 2?
True
Suppose 5*h - 570 = -h. Is (h/(-20))/((-2)/8) a multiple of 12?
False
Suppose 2*k - 5*k + b + 103 = 0, 0 = 4*b - 8. Suppose v - q - k = 0, -5*v + 2*q + 84 = -82. Does 32 divide v?
True
Let o = -48 + 188. Suppose 5*v - o = 5*t, v - 2*v = 4*t - 23. Does 10 divide v?
False
Suppose 2*x + 4*k - 106 = -3*x, -2*k = 5*x - 98. Is x a multiple of 6?
True
Suppose 3*a + 40 = 5*q, 4*q - 2*a = -0*q + 32. Does 4 divide q?
True
Let o = -2 + 1. Is 35 - (-1 + 5 + o) a multiple of 17?
False
Let a = -7 + 10. Suppose -a*c = -0*c. Suppose -4*w + 9*w - 105 = c. Is w a multiple of 8?
False
Does 19 divide 9/(-24)*-4*(1 + 75)?
True
Suppose x + 0 = -o - 2, -4*o = -5*x - 19. Let g be (-2)/x + 228/9. Suppose 3*h - g = -w + 5, 0 = 5*w + 2*h - 142. Is w a multiple of 14?
True
Let w = 156 - 46. Is w a multiple of 5?
True
Let m(f) = -f**3 + 14*f**2 - 21*f - 12. Does 6 divide m(12)?
True
Suppose -4*w + 3 = -5. Suppose -5*m = f + 2*f - 40, -f = -w*m - 6. Does 10 divide f?
True
Let u be (-4)/3*(-63)/(-14). Let r = 13 + u. Is 5 a factor of r?
False
Let g(h) = h**3 - 5*h**2 + 4*h + 4. Let n be g(4). Suppose 3*f = 12, 5*f + 15 = n*s - 13. Does 12 divide s?
True
Let k = -23 - -36. Is 3 a factor of k?
False
Is 14 a factor of 1 - ((-2247)/15 + (-1)/5)?
False
Let c(v) = -v**2 - v - 1. Let b(k) = 5*k**2 + 4*k + 1. Let r(g) = -b(g) - 2*c(g). Let d be r(-3). Let h = 32 + d. Is h a multiple of 6?
True
Suppose 0 = -x + 2 + 10. Is x a multiple of 12?
True
Let v be 2/(3*4/(-6)). Let u = v - -15. Is u a multiple of 12?
False
Suppose -24 = 2*q - 3*n, -36 = 4*q - 2*n - n. Suppose -4*z - 4 = 5*p - p, 0 = -2*p + 5*z - 9. Does 3 divide (3 + p)/((-1)/q)?
True
Let t(l) be the second derivative of 5*l**3/6 - 7*l**2/2 + l. Suppose 0 = -3*s - 5*r + 6, -r + 6*r + 22 = s. Is 14 a factor of t(s)?
True
Let n(p) = -5*p - 82. Is n(-26) a multiple of 12?
True
Suppose -3*r - 6 = 5*q, -4*r + 0 = q - 9. Suppose -24 = 7*l - r*l. Is 10 a factor of (15/(-10))/(l/64)?
False
Let b(f) = f**2 + f. Let o be b(0). Suppose y - 6 + 1 = 0. Suppose y*l - l - 8 = o. Is l even?
True
Let m(q) = -q + 62. Does 31 divide m(0)?
True
Suppose -h = -2*h. Suppose -13 = -z - 5*m, h*m + 3*m + 75 = 4*z. Is z a multiple of 15?
False
Let z be ((-1)/(-3))/(2/18). Suppose 2*h = 4*h - z*t - 136, -5*h = -t - 314. Is 16 a factor of h?
False
Suppose 5*s - 336 = s. Is 22 a factor of s?
False
Suppose 7*f - 123 - 66 = 0. Suppose 0 = -3*v - 0*v + 21. Let m = f + v. Is m a multiple of 12?
False
Let r = 145 + -97. Let f = r + -12. Is 16 a factor of f?
False
Let r = 9 + 5. Suppose 5*d + 4 - r = 0. Is d even?
True
Let x(o) = -o**3 - 9*o**2 - 8*o + 4. Let f be x(-8). Suppose 0 = f*n - 3 - 9. Suppose -8 = -s + 3*z + n, -2*s = z - 22. Is s a multiple of 10?
False
Is 18 a factor of 3 - (12/3 - 59)?
False
Let u = 1 + 3. Suppose -5*a - 5*r - 205 = 0, 2*a - u*r + 2 = -68. Let l = a - -83. Is l a multiple of 22?
True
Let x be (3 - 0)*(-1 + 4). Suppose -q + 3 = -4*v, x = 4*q - 3. Suppose 4*f - 3*f - 18 = v. Is 9 a factor of f?
True
Suppose 3*g = -4*g + 70. Does 10 divide g?
True
Suppose -11 + 31 = 2*w. Let t = w - -23. Does 13 divide t?
False
Let g = 318 + -166. Is g a multiple of 38?
True
Let n(p) = -p - 4. Let q be n(-8). Suppose 10 = 4*b + 5*h - 61, 0 = b - q*h - 2. Is 14 a factor of b?
True
Suppose 5*u + v - 232 = 4*v, -3*u + 136 = -5*v. Is u a multiple of 42?
False
Does 5 divide 3/(-6*(-4)/40)?
True
Suppose -3*r = 2*r - 420. Does 4 divide r?
True
Let u = -5 + 9. Let b = 1 + u. Suppose 2*y = b*a + 3*y - 148, 4*y - 112 = -4*a. Is a a multiple of 15?
True
Let m be 37/7 + 4/(-14). Suppose l + 2*r - 3*r = 6, m*r - 25 = 0. Is 11 a factor of l?
True
Let u = -44 + 47. Is 3 a factor of u?
True
Let k(s) = -13*s + 4. Does 30 divide k(-2)?
True
Suppose 4*r - 1 = 15. Let b(u) = 27*u + 3. Let c be b(r). Suppose 0 = 6*y - 3*y - c. Does 17 divide y?
False
Let o(u) = u**3 - 4*u + 3. Let h be o(2). Let y be (4/(-5))/(4/10). Let v = h - y. Is 5 a factor of v?
True
Suppose 5*a + 0*w = -3*w + 865, 0 = 3*w + 15. Is 44 a factor of a?
True
Suppose 3 = 3*o + t - 13, -2*o - 8 = -4*t. Let w = o - -2. Suppose 0*l - w = -3*l. Does 2 divide l?
True
Suppose -4*i = -5*i. Suppose -2*n - r + 55 = i, 3*r - r = -5*n + 136. Does 10 divide n?
False
Suppose -2*t + 7*t - 465 = 0. Let g = t - 45. Is g a multiple of 24?
True
Let p(q) = -15*q + 3. Is 27 a factor of p(-7)?
True
Let v = -154 + 376. Is 37 a factor of v?
True
Suppose 516 - 1296 = -6*n. Is 26 a factor of n?
True
Let l(v) = 7*
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{
"pile_set_name": "DM Mathematics"
}
|
llest value in v, -4, -2?
v
Let g = 2.086 + -0.086. What is the fourth biggest value in g, 2/35, 5, -0.3?
-0.3
Let s = -16 + 10. Let l = 5 + s. Let o = l + -3. What is the second smallest value in 1/2, o, 4?
1/2
Let l = -4.907 + 0.007. Let s = 5 + l. Let h = 137/95 - 16/19. What is the second biggest value in s, h, 2/7?
2/7
Let k = 0.7 - 3.5. Let f = 3 + k. Let d = -1.2 + f. Which is the second biggest value? (a) d (b) 0.1 (c) -3
a
Let k(d) = d**3 - 5*d**2 + 5. Let w be 15/2*(-24)/(-36). Let a be k(w). What is the second biggest value in -2, a, -0.1?
-0.1
Let s be -3*(0 - (0 - 1)). Let f = 4.6 - 6.6. Let u = 1.2 + -1. What is the third smallest value in u, s, f?
u
Let d be 3/(-2*(-6)/(-8)). Let w = -240 - -2159/9. Which is the third biggest value? (a) 4 (b) d (c) w
b
Let q = 0.22 + -0.42. Let a = -4 + 3.6. What is the third biggest value in q, 1/5, a?
a
Let u = 3 - 3.1. Let v = u - -0.3. Let m = v - 0.3. What is the biggest value in m, -0.4, 1?
1
Let u be 11/3 + 1/3. Let w = 0.12 + -0.62. Which is the third smallest value? (a) u (b) w (c) -2/13
a
Let g = 0.009 + 0.391. Let u = -2 - -2.1. Which is the smallest value? (a) g (b) -2 (c) u
b
Suppose -5*u - 3 + 23 = 0. Let w be (u/50)/1*5. Which is the third biggest value? (a) -5 (b) w (c) -2
a
Let m = -5 + 1. Let b = -0.54 - -0.14. What is the second smallest value in m, b, -3/5?
-3/5
Let d = -0.36 - -0.32. Which is the third smallest value? (a) 1/2 (b) -0.1 (c) d
a
Let g = -86 - -257/3. Let f = -0.2 - -0.16. Let u = -0.34 - f. Which is the third biggest value? (a) 3 (b) g (c) u
b
Let z be 4*((-28)/8)/7. What is the third smallest value in -19, -3, z?
z
Let r = -114 - -116. What is the fourth smallest value in -2, r, -7, -0.4?
r
Let p = 0.16 + 0.14. Suppose 5 + 13 = 3*q. Let h be q/(-24)*(1 - 0). Which is the smallest value? (a) h (b) p (c) 1/2
a
Let o = 5443729/270025 + -1/10801. Let b = o + -5498/175. Let p = -57/5 - b. What is the third smallest value in 0.3, p, 4?
4
Let s = 27 - 22. Which is the second biggest value? (a) 0.3 (b) 2/9 (c) s
a
Let q = -0.173 - -3.173. What is the third biggest value in q, -4/5, 0.5, 0.03?
0.03
Let o = -20 + 36. What is the third smallest value in -2, -0.3, o?
o
Let m = -0.3 + 0.61. Let z = m + -0.01. What is the second biggest value in z, -3/8, -3/4?
-3/8
Let g = -11 - -10.7. Which is the second smallest value? (a) g (b) 2 (c) -2/9
c
Suppose 3*r + 0 + 3 = 0. Which is the third biggest value? (a) r (b) -5 (c) 0.2
b
Let s(z) = z**2 - z + 2. Let l be s(0). Let q be (-12)/(-4) - l/(-1). Which is the biggest value? (a) q (b) 4 (c) 3
a
Let h(v) = v + 7. Let p be h(-4). Suppose r + 2*r - p*g + 12 = 0, 15 = 5*r + 2*g. Let w = -30 + 34. What is the second biggest value in r, -1/7, w?
r
Suppose n - 3*n - 4 = 0. Let t be (1 + -3)/(n/(-4)). What is the second biggest value in t, 3/2, -2?
-2
Let y(l) = -l**3 + 16*l**2 - 4*l + 64. Let o be y(16). Let k be 41/(-3)*(-276)/(-14). Let j = 269 + k. What is the second biggest value in o, -2, j?
j
Let s = -2.04 - 0.16. Let b = 1 + -0.2. Let l = b - s. What is the second biggest value in l, -3, 4?
l
Let k be 114/(-42) + 2/(-7). What is the third smallest value in k, -1, -0.5?
-0.5
Suppose -7*k - 4 = -3*k. Which is the second biggest value? (a) 1/4 (b) k (c) 3 (d) -0.4
a
Let r = 0.8 - 3.8. What is the third smallest value in 5/4, r, 5?
5
Let q be (5/(-75))/(((-36)/(-40))/(-3)). What is the biggest value in 2, 2/11, -2, q?
2
Let t = 2.02 + -0.02. Let n = -0.2 + -2.7. Let k = n + -0.1. Which is the smallest value? (a) t (b) k (c) 5
b
Let x = 0.03 + -0.13. What is the biggest value in 0.1, 0.7, x?
0.7
Let n = -2 - -1.97. Let r = n + 0.07. What is the second biggest value in -0.3, -5, r?
-0.3
Let k = -15.3 - -16. Let y = 1.1 - k. Let o be 16/(-40) + (-8)/(-5). What is the third smallest value in y, 2/13, o?
o
Let x = 3.9 - -1.1. Let w = x + -5.2. Let k = -0.4 - w. Which is the second biggest value? (a) -2 (b) k (c) 5
b
Let q be ((-55)/15 - -3)*-1. Which is the smallest value? (a) q (b) -4 (c) 5
b
Let x = -7.5 + 2.5. What is the second biggest value in 42, x, 5?
5
Let w = 2 + -2. Let r be (9 + 44)/(-4 + 1). Let i = r + 17. What is the second biggest value in w, i, 2/7?
w
Let q = -9.04 - -0.04. Let l = q - -4. Let t = l + 4. Which is the third smallest value? (a) 3 (b) t (c) -3
a
Let h be 0 + (23/(-1) - 1). Let l be (-18)/h*(-1)/(-3). What is the second biggest value in l, 0.1, 1/2?
l
Suppose -5*h = 10 + 5. Let n be 0/h - -4*1. What is the smallest value in n, -0.2, 2/3?
-0.2
Let s = -2.58 - -2.4. Let v = s + 0.08. Let h = -0.2 + -3.8. What is the biggest value in v, -3/8, h?
v
Let x = -81 - -81. What is the fourth smallest value in x, 3/4, -0.1, -1/4?
3/4
Let o be ((6/(-3))/(-14))/(12/(-7)). What is the third biggest value in o, -5, 13?
-5
Let f(d) = -d - 6. Let s be f(-6). Let n(c) = c**3 - 6*c**2 + 5*c + 3. Let j be n(5). Let y be j/(-10)*4/3. What is the biggest value in -3/2, s, y?
s
Let r = 0.02 + -4.02. Let z = 0.4 + -0.8. Which is the third biggest value? (a) r (b) z (c) -1/6
a
Suppose 0 = 4*t + 68 - 4. Let d be -15*(t/12 + 1). Which is the third biggest value? (a) d (b) -3 (c) -5
c
Let w be (2/4)/(14/(-4)). Let t = -39 - -13. Let u = t - -25.7. What is the third smallest value in w, -0.2, u?
w
Let g be 5/(-60)*(-2 + 2 - 2). Let t = 0.5 + -1. Let p = 1.5 - -0.5. Which is the biggest value? (a) t (b) p (c) g
b
Let y = -1 + 6.9. Let f = y + -0.9. Which is the biggest value? (a) f (b) -5 (c) -0.3
a
Let s = 0.51 - 0.11. Let k = 2.6 + s. What is the biggest value in 0, -0.5, k?
k
Let s(m) = -m**2 + 6*m + 8. Let y be s(7). Let h = -4 + 2. What is the third biggest value in h, 0.3, y?
h
Suppose -3*v - v = 3*i + 9, 5*i + 15 = 3*v. Which is the third smallest value? (a) -0.1 (b) 3/4 (c) i (d) -0.3
a
Let s be (2/5)/(5/25 - -1). Which is the smallest value? (a) s (b) -0.6 (c) -0.4 (d) -4
d
Let j = -5 + 4.92. Let f = j + 2.08. What is the biggest value in 0.2, f, -4?
f
Let h = -17 - -29. Let q = h + -12. What is the biggest value in q, -0.2, -5?
q
Let f = -2.1 - -2. Let r = -3249/2 + 1590. Let w = r + 33. Which is the second biggest value? (a) -2/11 (b) w (c) f
a
Let d = 70 - 208/3. Let f = 3.35 - -0.65. Which is the second biggest value? (a) d (b) f (c) 0.1
a
Let i = -11 + 23. Let j = -10 + i. Let k = 2.7 - 3. Which is the smallest value? (a) k (b) 0 (c) j
a
Let k(z) = 3*z + 14. Let y be k(-3). Which is the third smallest value? (a) y (b) 1 (c) 1/8 (d) 2/5
b
Suppose -3 = h + 1. Let o = -7 + 5. Let n = 0 - o. Which is the second biggest value? (a) h (b) n (c) 2/7
c
Let u(j) = j**3 - 4*j**2 + 3*j - 3. Let i be u(3). Let f = 0 - 1. Which is the second biggest value? (a) f (b) 0.1 (c) i
a
Let n = 24 - 28. Let x = 2.7 + -3. What is the third biggest value in 0.2, n, x?
n
Let i be (-1)/3*(-33)/(-44). Let p be ((-24)/(-104))/(6/4). Which is the second biggest value? (a) i (b) 0.3 (c) p
c
Let s = -0.3 - -0.3. Let r = 16 + -4. Let w = r - 7. Which is the third smallest value? (a) s (b) w (c) 0.5
b
Let w = -7 - -6. Let m = -4 - -4.06. What is the smallest value in w, m, 0.5?
w
Let d = 14 + -13.3. Let t = d + -0.3. Let g = -18 + 16. What is the second biggest value in 4, t, g?
t
Suppose 8*t + 8 = 6*t. Which is the third biggest value? (a) 1 (b) t (c) 5 (d) -1/2
d
Let z = 208.06 - 206. Let x = 0.06 - z. What is the second smallest value in x, 0.5, 4/3?
0.5
Let v = 18 - 28. Let u = 7 + v. What is the biggest value in 5, -0.4, u?
5
Let q be -2 + (-7023)/(-4) + 1. Let g = -1728 + q. Let w = g - 27. What is the biggest value in w, -0.5, 1?
1
Let y = 0.1 - -0.4. Let s be (-4)/6 + (-112)/(-132). What is the second biggest value in -2/13, y, s?
s
Let a = -87.07 - -87. What is the second smallest value in 2/11, 4/5, a?
2/11
Let g = -12 - -12.2. What is the second smallest value in g, 2/21, 4?
g
Suppose 31 = -9*p - 50. Let l(k) = k**2 - 3*k + 2. Let i be l(2). Which is the biggest value? (a) p (b) -1 (c) i
c
Let a = -13 + 15. Suppose -2*l + 15 = -5*l. Let y be 2/l - (-14)/10. What is the smallest value in -0.5, y, a?
-0.5
Let h = -1 - -2. Let k = -1 + -2. Let v = -1 + k. Which is the second smallest value? (a) v (b) -2 (c) h
b
Let q be 1*-1 - 13/(130/(-28)
|
{
"pile_set_name": "DM Mathematics"
}
|
2*t**3 - 21*t - 19
What is the l'th term of -54, -196, -340, -486?
-l**2 - 139*l + 86
What is the q'th term of 3234, 3230, 3224, 3216, 3206?
-q**2 - q + 3236
What is the y'th term of -56, -42, -26, -14, -12, -26, -62?
-y**3 + 7*y**2 - 62
What is the l'th term of 114, 233, 354, 477, 602, 729?
l**2 + 116*l - 3
What is the d'th term of 56, 291, 676, 1205, 1872, 2671, 3596, 4641?
-d**3 + 81*d**2 - d - 23
What is the k'th term of 45, 54, 65, 78, 93, 110?
k**2 + 6*k + 38
What is the y'th term of 618, 619, 620, 621, 622, 623?
y + 617
What is the d'th term of -12, -31, -64, -111, -172?
-7*d**2 + 2*d - 7
What is the f'th term of 689, 728, 837, 1052, 1409, 1944, 2693?
6*f**3 - f**2 + 684
What is the a'th term of 33, 81, 151, 255, 405, 613?
2*a**3 - a**2 + 37*a - 5
What is the b'th term of -140, -192, -338, -626, -1104, -1820, -2822, -4158?
-8*b**3 + b**2 + b - 134
What is the m'th term of 11, 36, 61, 86, 111, 136?
25*m - 14
What is the s'th term of -324, -303, -280, -261, -252?
-s**3 + 7*s**2 + 7*s - 337
What is the t'th term of 579, 596, 611, 624, 635, 644?
-t**2 + 20*t + 560
What is the x'th term of 1031, 2063, 3093, 4121, 5147?
-x**2 + 1035*x - 3
What is the i'th term of -123, -146, -189, -258, -359, -498, -681, -914?
-i**3 - 4*i**2 - 4*i - 114
What is the q'th term of 2974, 2975, 2976, 2977, 2978, 2979?
q + 2973
What is the o'th term of -6, -26, -60, -108, -170?
-7*o**2 + o
What is the x'th term of -193, -197, -203, -211, -221?
-x**2 - x - 191
What is the s'th term of -3072, -3065, -3046, -3009, -2948?
s**3 - 3073
What is the f'th term of 23, 69, 145, 251, 387, 553?
15*f**2 + f + 7
What is the v'th term of -11, -27, -45, -65?
-v**2 - 13*v + 3
What is the b'th term of -34, -110, -226, -382, -578?
-20*b**2 - 16*b + 2
What is the g'th term of 109, 155, 273, 499, 869, 1419, 2185, 3203?
6*g**3 + 4*g + 99
What is the z'th term of 132, 121, 100, 63, 4, -83, -204?
-z**3 + z**2 - 7*z + 139
What is the z'th term of -21, -2, 123, 408, 907, 1674, 2763?
9*z**3 - z**2 - 41*z + 12
What is the v'th term of 21, 28, 39, 54?
2*v**2 + v + 18
What is the q'th term of -127, -129, -131, -133, -135?
-2*q - 125
What is the t'th term of -79, -95, -111, -127, -143?
-16*t - 63
What is the m'th term of -2878, -5764, -8672, -11614, -14602, -17648, -20764?
-2*m**3 + m**2 - 2875*m - 2
What is the o'th term of -6054, -6056, -6060, -6066, -6074, -6084?
-o**2 + o - 6054
What is the j'th term of -38, -83, -130, -179?
-j**2 - 42*j + 5
What is the i'th term of 5, 14, 27, 44, 65, 90?
2*i**2 + 3*i
What is the d'th term of 129, 165, 205, 249, 297, 349?
2*d**2 + 30*d + 97
What is the n'th term of -179, -174, -159, -128, -75?
n**3 - n**2 + n - 180
What is the n'th term of -78, -156, -234, -312?
-78*n
What is the m'th term of -112, -109, -106, -103, -100?
3*m - 115
What is the o'th term of -33, -67, -101, -135, -169?
-34*o + 1
What is the g'th term of 168, 249, 342, 453, 588, 753, 954?
g**3 + 74*g + 93
What is the f'th term of 1272, 1261, 1236, 1191, 1120, 1017, 876, 691?
-f**3 - f**2 - f + 1275
What is the k'th term of 207, 228, 251, 276, 303?
k**2 + 18*k + 188
What is the z'th term of -139, -153, -179, -223, -291?
-z**3 - 7*z - 131
What is the z'th term of -227, -219, -205, -185, -159?
3*z**2 - z - 229
What is the c'th term of 453, 451, 449, 447, 445, 443?
-2*c + 455
What is the p'th term of -496, -993, -1490, -1987?
-497*p + 1
What is the o'th term of -209, -219, -237, -263, -297?
-4*o**2 + 2*o - 207
What is the r'th term of 183, 363, 543?
180*r + 3
What is the z'th term of -13, -36, -97, -214, -405, -688, -1081?
-3*z**3 - z**2 + z - 10
What is the s'th term of -106, -221, -360, -535, -758?
-2*s**3 - 101*s - 3
What is the n'th term of -939, -936, -933, -930, -927?
3*n - 942
What is the l'th term of 105, 136, 169, 204, 241, 280?
l**2 + 28*l + 76
What is the o'th term of -18, -67, -150, -273, -442, -663?
-o**3 - 11*o**2 - 9*o + 3
What is the d'th term of -1199, -2395, -3587, -4775, -5959, -7139?
2*d**2 - 1202*d + 1
What is the z'th term of 33, 62, 89, 114, 137, 158?
-z**2 + 32*z + 2
What is the d'th term of 30, 76, 122, 168, 214, 260?
46*d - 16
What is the u'th term of 314, 1254, 2820, 5012?
313*u**2 + u
What is the f'th term of 49, 179, 497, 1087, 2033?
14*f**3 + 10*f**2 + 2*f + 23
What is the n'th term of 42, 18, -16, -66, -138?
-n**3 + n**2 - 20*n + 62
What is the c'th term of -2157, -2158, -2159?
-c - 2156
What is the y'th term of -186, -373, -556, -735, -910?
2*y**2 - 193*y + 5
What is the o'th term of 1079, 2156, 3233, 4310, 5387?
1077*o + 2
What is the t'th term of 611, 612, 613, 614?
t + 610
What is the n'th term of -14, -36, -108, -254, -498, -864, -1376, -2058?
-4*n**3 - n**2 + 9*n - 18
What is the r'th term of -224, -234, -270, -344, -468, -654?
-2*r**3 - r**2 + 7*r - 228
What is the d'th term of -60, -36, -12, 12, 36?
24*d - 84
What is the b'th term of -51, -55, -59, -63?
-4*b - 47
What is the u'th term of -128, 75, 414, 889, 1500, 2247?
68*u**2 - u - 195
What is the n'th term of 238, 991, 2240, 3979, 6202?
-n**3 + 254*n**2 - 2*n - 13
What is the z'th term of 199, 213, 241, 289, 363, 469, 613?
z**3 + z**2 + 4*z + 193
What is the o'th term of -482, -483, -484, -485, -486?
-o - 481
What is the t'th term of 978, 976, 974, 972, 970, 968?
-2*t + 980
What is the r'th term of -436, -879, -1322?
-443*r + 7
What is the x'th term of 30, 95, 254, 555, 1046, 1775?
8*x**3 - x**2 + 12*x + 11
What is the a'th term of 83, 101, 137, 197, 287, 413, 581?
a**3 + 3*a**2 + 2*a + 77
What is the k'th term of -93, -41, 11, 63?
52*k - 145
What is the q'th term of 2, -10, -30, -58, -94?
-4*q**2 + 6
What is the n'th term of -156, -158, -160, -162, -164, -166?
-2*n - 154
What is the t'th term of 49, 107, 165?
58*t - 9
What is the m'th term of -35, -35, -49, -83, -143, -235, -365?
-m**3 - m**2 + 10*m - 43
What is the n'th term of 3318, 3319, 3320, 3321, 3322?
n + 3317
What is the x'th term of -44, -89, -142, -203, -272?
-4*x**2 - 33*x - 7
What is the k'th term of -27, -60, -119, -210, -339?
-k**3 - 7*k**2 - 5*k - 14
What is the a'th term of -12, -44, -128, -288, -548, -932?
-4*a**3 - 2*a**2 + 2*a - 8
What is the w'th term of 109, 436, 979, 1738?
108*w**2 + 3*w - 2
What is the y'th term of 7, 16, 37, 76, 139?
y**3 + 2*y + 4
What is the p'th term of 8454, 8465, 8490, 8535, 8606, 8709, 8850, 9035?
p**3 + p**2 + p + 8451
What is the v'th term of 33, 66, 121, 210, 345, 538, 801?
2*v**3 - v**2 + 22*v + 10
What is the g'th term of 1090, 2165, 3226, 4267, 5282, 6265, 7210?
-g**3 - g**2 + 1085*g + 7
What is the q'th term of 353, 707, 1061, 1415?
354*q - 1
What is the m'th term of 28, 33, 42, 55, 72, 93?
2*m**2 - m + 27
What is the x'th term of 11, 14, 21, 32, 47, 66, 89?
2*x**2 - 3*x + 12
What is the j'th term of 3, -28, -89, -192, -349, -572, -873, -1264?
-2*j**3 - 3*j**2 - 8*j + 16
What is the h'th term of -181, -182, -183?
-h - 180
What is the r'th term of -12, 46, 202, 504, 1000, 1738?
8*r**3 + r**2 - r - 20
What is the n'th term of 8, 9, 4, -13, -48?
-n**3 + 3*n**2 - n + 7
What is the c'th term of 428, 828, 1228, 1628, 2028, 2428?
400*c + 28
What is the l'th term of 222, 230, 240, 252?
l**2 + 5*l + 216
What is the d'th term of -13, -11, 7, 47, 115, 217, 359?
d**3 + 2*d**2 - 11*d - 5
What is the n'th term of 926, 925, 924, 923, 922?
-n + 927
What is the n'th term of -5, 6, 21, 40, 63, 90?
2*n**2 + 5*n - 12
What is the x'th term of -2840, -5676, -8512, -11348, -14184?
-2836*x - 4
What is the m'th term of -9527, -9526, -9525?
m - 9528
What is the k'th term of -318, -1272, -2862, -5088?
-318*k**2
What is the a'th term of -79, -67, -47, -19, 17, 61?
4*a**2 - 83
What is the q'th term of 789, 3165, 7119, 12645, 19737, 28389, 38595, 50349?
-q**3 + 795*q**2 - 2*q - 3
What is the f'th term of 105, 353, 775, 1377, 2165, 3145, 4323?
f**3 + 81*f**2 - 2*f + 25
What is the t'th term of -856, -849, -842, -835, -828, -821?
7*t - 863
What is the n'th term of 1352, 2701, 4044, 5375, 6688, 7977, 9236?
-n**3 + 3*n**2 + 1347*n + 3
What is the h'th term of 18, 77, 176, 315, 494, 713?
20*h**2 - h - 1
What is the s'th term of -963, -961, -959, -957, -955, -953?
2*s - 965
What is the t'th term of -1018, -1017, -1016, -1015, -1014, -1013?
t - 1019
What is the q'th term of 260, 256, 258, 272, 304, 360, 446?
q**3 - 3*q**2 - 2*q + 264
W
|
{
"pile_set_name": "DM Mathematics"
}
|
cond derivative of 48*n - 11/10*n**5 + 0*n**3 + 0 + 1/15*n**6 + 13/6*n**4 + 0*n**2. Find the third derivative of d(h) wrt h.
48*h - 132
Let w(j) be the first derivative of -j**8/48 - 13*j**4/12 - 4*j**3/3 + 7. Let q(p) be the third derivative of w(p). Differentiate q(l) with respect to l.
-140*l**3
Let x be (14/21)/(4/3). Let k(l) be the second derivative of 0*l**3 + 1/12*l**4 - x*l**2 + 5*l + 0. Find the first derivative of k(a) wrt a.
2*a
Let f(u) be the second derivative of 11*u**8/336 + 11*u**5/60 + u**2 + 15*u. Let w(g) be the first derivative of f(g). Find the third derivative of w(h) wrt h.
660*h**2
Let y(o) = 140*o**3 - 55*o**2 - 2. Let w(c) = 281*c**3 - 111*c**2 - 5. Let d(r) = -2*w(r) + 5*y(r). Find the third derivative of d(b) wrt b.
828
Let r(c) be the third derivative of -c**5/120 - c**4/24 + 7*c**3/6 - 10*c**2. Let u(h) be the first derivative of r(h). Differentiate u(q) with respect to q.
-1
Suppose 14*d = 13*d. Find the second derivative of d*n**4 + 0*n**4 + n**4 - 13*n + 32*n wrt n.
12*n**2
What is the second derivative of 45760 + 42*s - 45760 + 78*s**3 wrt s?
468*s
Let b(p) = 2*p**2 - 38*p + 148. Let w(h) = -h**2 + h - 3. Let g(z) = -b(z) + w(z). Find the first derivative of g(s) wrt s.
-6*s + 39
What is the second derivative of -22 + 22*a + 22*a**2 - 45*a + 21*a + 11*a**2 wrt a?
66
Let w(k) be the third derivative of -k**10/15120 + k**6/180 + k**5/3 + 3*k**2. Let s(j) be the third derivative of w(j). Differentiate s(r) with respect to r.
-40*r**3
Let g(o) be the first derivative of 25 + 17/5*o**5 + 0*o**4 + 0*o + 0*o**3 - 29/2*o**2. What is the second derivative of g(c) wrt c?
204*c**2
Let d(m) be the first derivative of 15 - 13/4*m**4 + 0*m**2 + 0*m**3 - 16*m. Find the first derivative of d(a) wrt a.
-39*a**2
What is the third derivative of 14 + 27245*q**2 - 54473*q**2 + 27249*q**2 + 904*q**3 wrt q?
5424
Let v(g) = -g**3 + 2*g - 12. Let r be v(-4). Find the third derivative of -5*b + 2*b + 9*b**4 + 3*b + r*b**2 wrt b.
216*b
Let q(s) = -29*s**4 - 2*s**2 - 200. Let i(a) = 29*a**4 + 3*a**2 + 199. Let y(b) = -2*i(b) - 3*q(b). What is the derivative of y(u) wrt u?
116*u**3
What is the third derivative of 38*g - 63*g**4 + 4*g**2 - 37*g + 29*g**2 wrt g?
-1512*g
Let l(m) be the third derivative of 0 + 0*m**3 + 11*m**2 + 1/6*m**7 + 0*m + 0*m**4 + 0*m**6 + 7/60*m**5. What is the third derivative of l(v) wrt v?
840*v
Let y(m) = 24*m + 14. Let g be (8/(-3))/((-28)/42). Let f(c) = 24*c + 14. Let v(i) = g*y(i) - 3*f(i). Differentiate v(a) wrt a.
24
Let i be (-4 + -25)/(5/(-5)). Find the second derivative of -63*d - i*d**5 + 33*d + 32*d wrt d.
-580*d**3
Let v(s) be the first derivative of 9*s**5/5 + 11*s**3 + 875*s + 809. What is the derivative of v(d) wrt d?
36*d**3 + 66*d
Suppose -5*z + 3*z + i + 49 = 0, 3*z - 72 = 3*i. Suppose -5*q + z = 5. What is the first derivative of 1 - 6 - s**4 + 0*s**q wrt s?
-4*s**3
Suppose -4*x - 20 + 0 = -2*l, x + 3 = 0. Find the third derivative of -98*a**4 + 208*a**l - 90*a**4 - 8*a**2 wrt a.
480*a
What is the second derivative of 9533*p**5 - p - 9956*p**5 + 2*p - 62 wrt p?
-8460*p**3
Let n(o) = 2*o - 5*o + 0*o - 3. Let p be n(-2). Find the third derivative of 11*g**5 - 3*g**2 + 0*g**2 - 5*g**2 - p*g**5 wrt g.
480*g**2
Let f(a) be the third derivative of -9*a**2 + 0*a**4 + 3/10*a**5 + 0*a + 31/6*a**3 + 0. What is the derivative of f(z) wrt z?
36*z
Suppose 4*w + 2*v = 26, 0*w - 37 = -5*w - v. Find the first derivative of -1 + w - 15*k**2 + 5 wrt k.
-30*k
Let a(i) be the third derivative of -163*i**7/210 - i**4/24 + 125*i**3/6 - 319*i**2. Differentiate a(d) wrt d.
-652*d**3 - 1
What is the derivative of -502 - 336*g - 247 + 962*g wrt g?
626
Let n(p) = p**3 - 5*p**2 - 4*p + 3. Let g be n(5). Let l = g + 28. What is the third derivative of l*a**6 + a**2 - 166*a**4 + 166*a**4 wrt a?
1320*a**3
Let l(z) = -7*z**4 - 68*z**2 - 9*z - 5. Let h(x) = 6*x**4 + 68*x**2 + 12*x + 4. Let n(a) = 5*h(a) + 4*l(a). Find the second derivative of n(k) wrt k.
24*k**2 + 136
Let q = -20 + 25. What is the derivative of 5*b - q*b**3 - 4 + 4*b - 9*b wrt b?
-15*b**2
Suppose 7*k = 5*k - 14. Let n = 11 + k. Find the third derivative of 3*u**2 - 3*u**2 + 6*u**4 + u**2 + n*u**2 wrt u.
144*u
Let f(s) be the second derivative of 0 + 5/4*s**4 + 9*s**2 + 0*s**3 + 7*s. What is the derivative of f(a) wrt a?
30*a
Let o be 34 + -4 + 4 + -4. Find the second derivative of -15*f**2 + f - 30 + o wrt f.
-30
Let a(s) be the first derivative of 0*s**4 + 22/5*s**5 + 0*s**2 + 3 + 0*s + 2/3*s**3. Find the third derivative of a(g) wrt g.
528*g
Let p(c) be the first derivative of c**4/4 + 31*c**3/3 + 115*c**2/2 - 83. Find the second derivative of p(r) wrt r.
6*r + 62
Let d(b) be the first derivative of -4*b**5/5 - 35*b**4/4 - b**2 + 93*b - 429. What is the second derivative of d(c) wrt c?
-48*c**2 - 210*c
Let y(z) = z. Let s(r) = -5*r**2 + 9*r - 19. Let g(p) = -s(p) - y(p). Let l(f) be the first derivative of g(f). What is the derivative of l(o) wrt o?
10
Let y(a) be the first derivative of 7*a**4/4 - a**3 + 52*a + 59. Differentiate y(h) with respect to h.
21*h**2 - 6*h
Let u(m) = -8*m**2 + 6*m + 7. Suppose -5*h + 10 = -j + 24, 2*j + h = -16. Let v(a) = 7*a**2 - 5*a - 8. Let p(f) = j*v(f) - 5*u(f). Differentiate p(w) wrt w.
-4*w
Let g be (-2 + 1 - 2) + 17. Let q = g + -12. What is the second derivative of -6*z - q*z**4 - 2*z**4 + 6*z**4 + 2*z**4 wrt z?
48*z**2
Let i(d) be the third derivative of 41*d**6/120 + 7*d**5/60 - 211*d**3/3 + 193*d**2 - d. What is the first derivative of i(u) wrt u?
123*u**2 + 14*u
What is the first derivative of 9 + 42*z**2 + 7 + 15 - 4 wrt z?
84*z
Let p(j) = -3*j + 3. Let a be p(0). What is the derivative of 22*c**3 - 3*c**a + 2*c**3 - 9 wrt c?
63*c**2
Let o(r) be the second derivative of -r**11/6930 - r**7/1260 + r**4/4 - r. Let m(a) be the third derivative of o(a). Find the third derivative of m(y) wrt y.
-960*y**3
Let t(c) be the first derivative of -c**5/30 - c**3 + 19*c**2/2 + 16. Let m(x) be the second derivative of t(x). Differentiate m(u) wrt u.
-4*u
What is the derivative of -499*f - 126 + 248*f - 140*f**2 + 251*f + 3*f**3 wrt f?
9*f**2 - 280*f
Let l be -12*(5/3 + -2). Suppose -5*x + 30 = 5*c, x + 4*c = l*x + 10. What is the second derivative of -2*g + 5*g**x - 3*g**2 + 0*g wrt g?
4
Let w be ((-14)/21)/((-4)/18). Suppose 5*t - w*c - 24 = -0*t, -4*t = 3*c - 3. What is the third derivative of 0*j**4 + 6*j**2 + 6*j**4 - t*j**4 + 0*j**4 wrt j?
72*j
Let v = -1 + 4. Let p be 36/16*2*(-10)/(-5). Differentiate 3*j**v - 2*j**3 + p - 12 wrt j.
3*j**2
Let q(u) = 2*u**2 + u - 2. Let o be q(2). Suppose -13*f = -o*f - 10. Differentiate j**f + j**2 - 2 - 2 - j**2 wrt j.
2*j
Let f(h) be the third derivative of 22*h**2 - 1/6*h**3 + 1 + 0*h - 19/8*h**4. Differentiate f(s) wrt s.
-57
Let a = -12 - -12. Suppose j = -5*o + 3, 0 = 4*j - a*j - 2*o - 12. Find the third derivative of -j*z**5 - 7*z**5 + 20*z**5 - 9*z**2 wrt z.
600*z**2
What is the second derivative of 28 - 87 + 28 + 31 - 193*r + 16*r**3 wrt r?
96*r
Let d(h) = -270*h**3 + 6*h**2 + 9*h. Let f(a) = -90*a**3 + 2*a**2 + 3*a. Let x(w) = -4*d(w) + 11*f(w). What is the third derivative of x(y) wrt y?
540
Suppose 3 + 6 = 3*t. Suppose -6 = -p - 3. Find the second derivative of -t*x - 74 - p*x**2 + 74 wrt x.
-6
Let x = 0 - -2. Let d be -4 - (-5 + -3 + 1). Find the second derivative of 2*a**d + 0*a**3 + 4*a - 2*a**3 - x*a**4 wrt a.
-24*a**2
Suppose 5*t + t - 24 = 0. What is the second derivative of -23*w + 30*w - 16*w**t + 4*w**4 wrt w?
-144*w**2
Let i(s) = -6*s**3 - 6*s**2 + 15. Let w(n) = 3*n**3 + 6*n**3 - 16*n**3 - 6*n**2 + 15 + n**2. Let a(h) = -5*i(h) + 6*w(h). What is the derivative of a(p) wrt p?
-36*p**2
Suppose 0*c + c - 5 = 0. Differentiate 12 - 16 + c*b**4 + 12*b**4 with respect to b.
68*b**3
Suppose 6 = -2*g - 2*b, 0 = g - 2*b - 3*b - 27. What is the third derivative of 2 - 111*m**2 + 138*m**2 - g + 15*m**3 wrt m?
90
Suppose -g - 5*d = 10 - 4, d + 18 = 4*g. Find the second derivative of 9*t - 16*t + 13*t**2 - g*t wrt t.
26
Let s(m) = -68*m**3 + 7*m**2 - 5*m - 14. Let h(b) = -102*b**3 + 10*b**2 - 7*b - 21. Let w(u) = 5*h(u) - 7*s(u). What is the third derivative of w(r) wrt r?
-204
Let r(z) be the third derivative of 0 + 0*z**4 + 0*z - 3/2*z**3 + 1/5*z**5 - 11*z**2. What is the d
|
{
"pile_set_name": "DM Mathematics"
}
|
False
Is 84039 a multiple of 241?
False
Is 7316210 a multiple of 11?
True
Is 17 a factor of 23082894?
False
Is 13156475 a multiple of 25?
True
Is 718956 a multiple of 581?
False
Is 70 a factor of 277844?
False
Is 84 a factor of 9221016?
True
Is 1363094 a multiple of 8?
False
Is 6 a factor of 6908208?
True
Does 98 divide 181300?
True
Does 7 divide 20920?
False
Is 329685 a multiple of 16?
False
Does 168 divide 6680016?
True
Is 7 a factor of 456478?
False
Does 17 divide 665159?
True
Does 25 divide 88325?
True
Does 185 divide 974395?
True
Is 186984 a multiple of 56?
True
Is 34 a factor of 772143?
False
Does 74 divide 475524?
True
Is 6181414 a multiple of 10?
False
Is 156 a factor of 252252?
True
Does 112 divide 266672?
True
Is 1615860 a multiple of 15?
True
Is 887747 a multiple of 217?
True
Is 95 a factor of 379855?
False
Does 2 divide 70956?
True
Is 99572 a multiple of 31?
True
Does 107 divide 803496?
False
Is 10220004 a multiple of 14?
False
Is 142 a factor of 190280?
True
Does 46 divide 97566?
True
Is 274 a factor of 1483436?
True
Is 560 a factor of 7721563?
False
Does 6 divide 17922?
True
Is 9 a factor of 1335139?
False
Does 1391 divide 8937175?
True
Is 690615 a multiple of 2?
False
Is 342654 a multiple of 39?
True
Is 201842 a multiple of 86?
True
Is 12083475 a multiple of 2195?
True
Does 77 divide 7189182?
True
Is 1564947 a multiple of 287?
False
Is 6968844 a multiple of 82?
False
Is 71 a factor of 13206?
True
Does 99 divide 60489?
True
Is 6 a factor of 40308?
True
Is 1122513 a multiple of 173?
False
Is 2306527 a multiple of 811?
False
Does 32 divide 12285376?
True
Is 19 a factor of 3984832?
True
Is 226991 a multiple of 298?
False
Is 1262500 a multiple of 250?
True
Does 773 divide 193117?
False
Is 560 a factor of 692720?
True
Does 22 divide 6137692?
True
Does 48 divide 3607443?
False
Does 108 divide 144504?
True
Is 15 a factor of 3103935?
True
Is 11 a factor of 7792516?
False
Is 16 a factor of 159824?
True
Does 95 divide 5352424?
False
Is 7500950 a multiple of 410?
True
Does 16 divide 1319465?
False
Does 3 divide 4161?
True
Does 26 divide 12271?
False
Does 131 divide 27250?
False
Is 19 a factor of 224975?
False
Is 28430 a multiple of 10?
True
Does 8 divide 19808?
True
Is 285 a factor of 75251?
False
Does 190 divide 60047?
False
Does 875 divide 32968250?
True
Does 67 divide 8509?
True
Is 1593686 a multiple of 24?
False
Does 10 divide 153633?
False
Is 40 a factor of 639497?
False
Is 502512 a multiple of 696?
True
Does 16 divide 1575712?
True
Is 244320 a multiple of 15?
True
Is 1384379 a multiple of 116?
False
Is 11184 a multiple of 9?
False
Is 887030 a multiple of 20?
False
Is 140146 a multiple of 887?
True
Is 581 a factor of 3693998?
True
Is 89 a factor of 441183?
False
Does 2 divide 285199?
False
Is 5371904 a multiple of 8?
True
Is 2088380 a multiple of 140?
True
Is 102 a factor of 248835?
False
Does 11 divide 59642?
True
Is 53 a factor of 179723?
True
Does 126 divide 132930?
True
Does 12 divide 353400?
True
Does 26 divide 45188?
True
Is 286480 a multiple of 5?
True
Is 17 a factor of 4521048?
True
Does 3 divide 1996014?
True
Does 7 divide 21324?
False
Is 2417339 a multiple of 5?
False
Does 1243 divide 3471699?
True
Is 479550 a multiple of 230?
True
Is 8 a factor of 638292?
False
Is 114 a factor of 3374628?
True
Is 45 a factor of 1539064?
False
Is 110672 a multiple of 20?
False
Is 184 a factor of 96790?
False
Does 22 divide 11036278?
True
Is 21 a factor of 10269698?
False
Is 15 a factor of 345484?
False
Does 3 divide 11606?
False
Is 803 a factor of 1018204?
True
Is 189600 a multiple of 200?
True
Is 31928 a multiple of 307?
True
Is 2501558 a multiple of 131?
False
Is 33473 a multiple of 2?
False
Does 392 divide 3148942?
False
Is 28743208 a multiple of 1528?
True
Is 938030 a multiple of 53?
False
Does 20 divide 157500?
True
Is 1212274 a multiple of 917?
True
Is 100 a factor of 489800?
True
Is 171 a factor of 340119?
True
Is 6450822 a multiple of 1548?
False
Is 1002881 a multiple of 144?
False
Does 36 divide 398628?
True
Does 231 divide 210247?
False
Is 3900820 a multiple of 22?
True
Does 14 divide 21981153?
False
Is 309205 a multiple of 244?
False
Does 368 divide 532864?
True
Does 122 divide 237248?
False
Does 19 divide 1590835?
False
Does 70 divide 7980?
True
Does 23 divide 7424906?
True
Does 65 divide 149565?
True
Is 3614988 a multiple of 156?
True
Does 10 divide 7548?
False
Is 173700 a multiple of 18?
True
Does 4 divide 4072?
True
Is 97 a factor of 4171?
True
Is 51 a factor of 107814?
True
Does 8 divide 90331?
False
Does 127 divide 59385?
False
Is 111078 a multiple of 363?
True
Is 5 a factor of 16264?
False
Is 117880 a multiple of 40?
True
Is 33 a factor of 619344?
True
Is 1133 a factor of 1589599?
True
Is 21 a factor of 134299?
False
Is 38 a factor of 246050?
True
Is 860 a factor of 145340?
True
Is 21850 a multiple of 5?
True
Is 1128 a factor of 331632?
True
Is 144350 a multiple of 5?
True
Is 1032 a factor of 3558336?
True
Does 1074 divide 4618200?
True
Is 3244364 a multiple of 608?
False
Is 49669 a multiple of 15?
False
Is 7134 a multiple of 3?
True
Is 2910483 a multiple of 9?
True
Is 243786 a multiple of 246?
True
Is 702 a factor of 1255176?
True
Is 177152 a multiple of 173?
True
Does 7 divide 239370?
False
Is 2339798 a multiple of 16?
False
Is 30 a factor of 388656?
False
Does 22 divide 472829?
False
Does 152 divide 12408825?
False
Is 51 a factor of 3964179?
True
Is 258209 a multiple of 333?
False
Is 23678 even?
True
Does 79 divide 21229?
False
Does 55 divide 7629233?
False
Is 16 a factor of 1151360?
True
Is 553231 a multiple of 4?
False
Is 149832 a multiple of 3?
True
Is 5445370 a multiple of 98?
True
Is 50 a factor of 258195?
False
Is 29 a factor of 201637?
True
Is 3339819 a multiple of 431?
True
Is 44 a factor of 13007764?
True
Is 37 a factor of 263343?
False
Does 429 divide 601442?
False
Is 317170 a multiple of 46?
True
Is 164220 a multiple of 2?
True
Does 214 divide 758630?
True
Is 81996 a multiple of 3?
True
Is 7 a factor of 2183363?
True
Is 24 a factor of 1612888?
False
Does 109 divide 1721988?
False
Is 137632 a multiple of 374?
True
Does 176 divide 2012912?
True
Is 24489 a multiple of 282?
False
Is 6381750 a multiple of 25?
True
Does 183 divide 4917075?
False
Is 684095 a multiple of 38?
False
Does 47 divide 286418?
True
Does 564 divide 107417?
False
Is 604 a factor of 3640308?
True
Is 71 a factor of 1653424?
False
Is 1928680 a multiple of 13?
True
Is 1804930 a multiple of 158?
False
Is 72216 a multiple of 531?
True
Does 21 divide 39849?
False
Is 24 a factor of 649536?
True
Does 82 divide 55960?
False
Is 99 a factor of 81477?
True
Is 4507924 a multiple of 123?
False
Is 1409989 a multiple of 19?
False
Is 661301 a multiple of 2?
False
Does 20 divide 865560?
True
Is 2269790 a multiple of 706?
True
Is 601979 a multiple of 161?
True
Is 338 a factor of 14900730?
True
Is 1347108 a multiple of 3?
True
Is 37 a factor of 43623?
True
Is 12 a factor of 1378296?
True
Is 39 a factor of 1055184?
True
Is 853910 a multiple of 226?
False
Does 134 divide 429803?
False
Does 2 divide 23433?
False
Is 424 a factor of 1342090?
False
Is 3 a factor of 19154?
False
Does 9 divide 690786?
True
Is 18981 a multiple of 333?
True
Does 19 divide 147725?
True
Does 11 divide 80022?
False
Is 2826936 a multiple of 84?
True
Is 13 a factor of 400380?
False
Does 20 divide 2724477?
False
Is 27 a factor of 1022247?
True
Is 6303723 a multiple of 479?
False
Does 897 divide 5762328?
True
Is 1269 a factor of 3767661?
True
Is 5942016 a multiple of 32?
True
Is 147392 a multiple of 4?
True
Is 3478335 a multiple of 21?
True
Is 33 a factor of 65632?
False
Is 4635954 a multiple of 27?
True
Does 2 divide 170583?
False
Is 45 a factor of 1651948?
False
Is 11594 even?
True
Is 188880 a multiple of 28?
False
Does 107 divide 566137?
True
Is 393 a factor of 464919?
True
Is 38262 a multiple of 31?
False
Does 22 divide 473682?
True
Does 129 divide 348429?
True
Does 22 divide 939911?
False
Is 2626563 a multiple of 14?
False
Is 16 a factor of 19768995?
False
Is 787 a factor of 6271513?
False
Is 201 a factor of 160291?
False
Is 152 a factor of 845120?
True
Does 150 divide 107740?
False
Does 16 divide 1124509?
False
Is 6950944 a multiple of 32?
True
Is 6218 a multiple of 2?
True
Is 3137102 a
|
{
"pile_set_name": "DM Mathematics"
}
|
4. Which is smaller: l or -65/3?
l
Suppose -c + 3 = 4*r - 15, 2*r = -5*c. Let v = 6436 + -6443. Which is greater: c or v?
c
Suppose o + 3*z + 103 - 303 = 0, -4*z - 800 = -4*o. Which is smaller: 201 or o?
o
Let v = -408 + 452.6. Let h = -30.5 + v. Let d = h + -14. Which is smaller: 8 or d?
d
Suppose -8*p + 13*p - 50 = 0. Suppose 0 = -p*i + 7*i - 351. Let g be (-116)/i - (-4)/(-18). Is 2 at most as big as g?
False
Let k = -2 - -2.02. Let f = -47 - -46. Is k >= f?
True
Suppose c - 9 - 56 = 4*a, 2*c = 5*a + 79. Let z(l) = -4*l - 1. Let i be z(4). Is i at least a?
True
Let p = -16/17 + 1. Let k be ((-12)/4 + 3)*(2 + -3). Is k at least as big as p?
False
Let r = 1.2 - 1. Let d = -8.3 - -8. Let z = d - -0.31. Is z greater than r?
False
Let h(i) = -i**2 + 3*i - 2. Let q be h(2). Let y be (-295)/690 - (-23)/138. Which is greater: q or y?
q
Suppose -78 = 5*x + x. Let g be (42/x)/(-3) + -1. Is g at most 0?
False
Let f be (2/32)/((-55)/30)*4. Which is smaller: f or 0?
f
Suppose 30*w - 524 = 736. Do w and 38 have different values?
True
Suppose -56 = 7*w - 28. Is w greater than -27/5?
True
Let h = 56.2 - 58.2. Which is smaller: -0.1 or h?
h
Let y = -1.9 + -3.1. Let f = y + 4.9. Which is smaller: f or 20/9?
f
Let n = 1492 + -4477/3. Is n less than 1/80?
True
Let z = -0.511 - 109.489. Is 0.01 bigger than z?
True
Suppose 0 = -3*a + 2*t - 77 + 27, 0 = 4*a - 3*t + 66. Let o be (-14)/a + (-4)/54*-3. Is 3/5 greater than o?
False
Let d = 27989/12 + -2258. Let g = d - 74. Which is smaller: g or 0?
0
Let x = 233 + -3493/15. Which is greater: x or 2/45?
x
Suppose 4*g = -2*z + 7*z - 42, -z - 4*g - 6 = 0. Suppose -2*v = 4*l - z + 20, -2*v = -5*l - 31. Is 30/7 at most as big as v?
False
Suppose 6*b + 3*w = 8*b + 35, 3*b + 60 = 2*w. Is -165/8 > b?
True
Let m = 36/11 + -211/88. Is m at least -2?
True
Suppose 5*h - 124 = 2*g + 44, 4*h + 150 = -2*g. Is -82 bigger than g?
False
Let c(x) = x**3 + 1. Let m be c(0). Is 3/82 bigger than m?
False
Suppose 2*l = 8, 0 = -5*t - 2*l + 11 + 2. Suppose 4*a - t - 11 = -4*k, -3*k - 1 = -2*a. Let x be 2 + 1 - (5 - a). Which is greater: x or -4/7?
x
Let m(x) = 19*x**2 + 2*x + 11. Let a be m(-2). Is a less than 82?
False
Let d = 1119 - 1090. Are d and 30 non-equal?
True
Let j be 540/(-70) + 4/(-14). Let a = -5 - j. Suppose i = 1 + a. Which is smaller: i or 3?
3
Suppose -22*m + 19*m = -3. Suppose -32 = 3*q + m. Let t be 45/10*(-16)/6. Are q and t nonequal?
True
Let x = 0.489 - 0.819. Is x less than or equal to -5?
False
Let i = 232 - -1600. Is 1831 at least as big as i?
False
Let m(v) = v**3 - 32*v**2 - 28*v + 293. Let l be m(33). Which is smaller: 1 or l?
1
Suppose 4*q - 3*c = 165, -5*q + 209 = -0*q - c. Let h be (-9)/(-27)*q/(-8). Is -1 equal to h?
False
Let h = 29.67 + -0.67. Let c = 29.21 - h. Do c and 1/2 have the same value?
False
Let t = -38 - 25. Let n = -64 - t. Is n not equal to 36?
True
Suppose -4*h = 3*j, -4*j - h + 19 = -2*h. Suppose 0*n = j*n + 8. Suppose -3*s = -5*c + 18 + 16, -3*s = -4*c + 29. Which is smaller: s or n?
s
Suppose 2*a + 5*y = 4*y, 0 = -5*y - 10. Which is greater: a or 17/12?
17/12
Let k = 1640 - 1760. Which is smaller: -117 or k?
k
Let k be 3/24*(-9 + 17). Let t be (-56)/(-48) + k/3. Which is smaller: 8 or t?
t
Let g be (-66)/9*((-492)/(-8))/(-1). Which is bigger: 452 or g?
452
Let f = 202 + -275. Is -72 less than f?
False
Suppose 4*t - 3*t = 0. Suppose t = 2*d + 22 + 10. Let j = 9 + d. Are -8 and j nonequal?
True
Let o be (6/4)/(657/(-24)). Which is smaller: o or 1?
o
Let d be (-125)/10*3/((-3)/(-2)). Let k = d - 32. Which is bigger: k or -56?
-56
Suppose -2*w + 191 = -3*v + 123, 5*v + 2*w + 108 = 0. Let i(f) = 2*f + 2. Let z be i(2). Let q be ((-33)/v)/(z/(-4)). Is 6/17 > q?
True
Let j = -1105 + 18793/17. Which is smaller: j or -1/2?
-1/2
Let y be -2 + 35/(-28) - (-1 - 2). Which is bigger: y or 5/8?
5/8
Let k = 308 + -2461/8. Let w(l) = -l + 3. Let c be w(3). Are c and k equal?
False
Let x be (-1)/(-3)*9 + 1*2. Let s be -29 - x/(5/(-2)). Which is smaller: s or -29?
-29
Let n(k) = k**3 + 26*k**2 + 24*k - 35. Let a be n(-25). Let c = 1 + a. Which is smaller: 1 or c?
c
Let x = 221/3 + -56. Which is smaller: x or 19?
x
Let m = -21/823 - 324157/4115. Which is greater: m or -80?
m
Let w(x) = -x**3 - 4*x**2 + x + 2. Let i be w(-4). Let r = -12.8 - -25. Let b = r - 12.4. Which is smaller: i or b?
i
Let a = -61/42 + -3/14. Which is smaller: -1 or a?
a
Let z be (-12)/14 - (4264/56 - 7). Do -71 and z have the same value?
False
Suppose 5*d + 12 + 13 = 3*u, -20 = u + 4*d. Let o(k) = 4*k + 12. Let j be o(u). Is 10 less than j?
True
Let f = -0.156 - -1.896. Let m = 0.24 - f. Do m and -3 have the same value?
False
Suppose -27*n + 16*n = 44. Is n equal to -8?
False
Let c = 531 - 543. Is -8 smaller than c?
False
Let j be (-603)/((-2 - 1) + 0). Which is smaller: j or 203?
j
Let m = 23 + -21.9. Let d = 13.9 + m. Let q = d + -10. Is q < -1?
False
Suppose 7 = -k - 2. Which is smaller: k or -19/2?
-19/2
Let j = -15 + 13. Let t = j - -5. Suppose -t*v + 5*q - 25 = 2*v, 3*q = 5*v + 35. Which is smaller: -11 or v?
-11
Suppose -9 = 2*h + 13. Let m = -8 - h. Let d be (2/(-1))/((-6)/m). Which is smaller: 7/5 or d?
d
Let y be 0/3 - (4 + -3)*-1. Let z be 357/(-27) - (-2)/9. Which is smaller: y or z?
z
Let g = 33 - 33. Let k be 6/(-6)*(3 + 0). Let f be 54/58 + k/3. Are f and g unequal?
True
Let r = 32 + -2. Let m = 16 - r. Is m at least -15?
True
Suppose -2*x + 7 = h, 0*x + 9 = 3*x. Suppose -3*a = -2*a + h. Are -6/11 and a unequal?
True
Suppose 35*d - 4 = 31*d. Let w be 14 - (-2 + d) - 1. Which is bigger: 13 or w?
w
Suppose 0*f - 2*u + 20 = 4*f, 20 = 4*f + 3*u. Let k(r) = -r + 8. Let l be k(f). Suppose -o - l = -6. Which is bigger: 2 or o?
o
Let a = -23/9 + 1849/720. Let p(w) = -w**3 - 19*w**2 - 18*w - 1. Let g be p(-18). Is a greater than g?
True
Suppose -s = s. Suppose 31 = -3*x + 2*l, 2*x = -3*l + 1 - s. Let d(g) = -9*g - 107. Let t be d(-11). Do x and t have the same value?
False
Suppose 3*s + 3 + 12 = h, -3 = h. Let r be ((-20)/(-2))/((-3)/s). Let d = -21 + r. Is 0 less than d?
False
Let b be (-141)/94*(0 + 24/207). Does b = -0.2?
False
Let f = -18 - -18. Suppose v + f*v - 2 = 0. Suppose 5*a - 25 = -3*w, v*w - 4*a = -0*w - 20. Is w < -2/13?
False
Let z = -34 - -18. Let u be (12/z)/(6*1/(-5)). Is 2 equal to u?
False
Let u = -11.97 - 0.03. Let b = u + 12.2. Let l be (-8)/(-12) + (-14)/3. Which is smaller: l or b?
l
Let c = 126 - 125. Let w be (27/6*(-4)/(-6))/c. Is w >= 30/11?
True
Suppose -5*t + t = 0. Suppose -v = 3*f - 66, t = -3*f + 5*f - 3*v - 33. Let o be ((-126)/(-15))/((-6)/(-15)). Is o less than or equal to f?
True
Let a = -1.4 + 1.2. Let l = -0.172 - a. Which is bigger: l or -1?
l
Let n be 12/(-105)*5 - (-12)/21. Let f(m) = -m + 7. Let v be f(7). Is n != v?
False
Let i = 493 + -502. Which is bigger: i or 95?
95
Let u(j) = -j**3 + 6*j**2 + 11*j + 20. Let f be u(6). Which is greater: f or 84?
f
Let h = -1 - -8. Suppose -4*b + 6 = -h*b. Let y be 30/16 + (b - 0). Which is bigger: y or -1?
y
Let b = 231/19 - 2168/133. Which is greater: b or -2?
-2
Let l be (24/342)/((-5)/((-15)/(-2))). Let w = 50/7 + -48/7. Is l smaller than w?
True
Let l = -31.54 - -32.54. Let h = 20 - -2. Is h not equal to l?
True
Suppose -9*t - 6 = -6*t. Let y be 8/t - -1 - 72865/(-24245). Is y bigger than 1?
False
Let b(j) = -4*j**2 + 49*j - 28. Let x be b(12). Which is smaller: x or -11?
x
Let p(t) = -15. Let l(h) = h - 1. Let j(w) = -l(w) - p(w). Let m be j(7). Let u be -1 - ((-12)/(-4) + 0) - -12. Which is greater: m or u?
m
Let t = 1.5345 - 0.0345. Do -5 and t have different values?
True
Let v = -1 - -3. Let w = v + -1. Let y be w/(-2) + 24/(-16). Which is smaller: y or -0.2?
y
Let x be 25/(-50) + (-9)/(-6). Is x <= -5/143?
False
Suppose -2 = 2*c - 5*i + 3*i, -4*c - 4*i - 4 = 0. Let r = 13/15 + -49/45. Is c smaller than r?
True
Let y be ((-2)/3)/((-10)/(-45)). Let v(c) = c**2 + c - 4. Let h be v(y). Suppose 1 = 2*q - 3*a + 7, 0 = -a + h. Is 1 != q?
True
Let z(b) = -2*b + 28. Let i be z(13). Suppose 0 = i*w - 0*w + 6. Is -16/7 greater than w?
True
Let l be 8/252*(-56)/(-12). Which is smaller: l or -1?
-1
Suppose 4*z - 45 - 23 = 0. Suppose -3 = 3*s + 12, 0 = 3*w + 4*s + z. Is 1/19 != w?
True
Suppose 9*c - 15*c = -4*c. Let j be 4 - 5 - (-6 + c)/(-1). Which is
|
{
"pile_set_name": "DM Mathematics"
}
|
45046/24 - 6/9. Let y = j - 19943/12. Let n = 1007/6 - y. Calculate the common denominator of 103/18 and n.
18
Let g = -2261945/13 + 174080. Let m = g + -5309/78. What is the common denominator of m and 59/12?
12
Let b(y) = y**2 - 2*y + 14. Calculate the smallest common multiple of b(0) and 14.
14
Let u(q) = -q**3 + 5*q**2 + 6*q. Let d be u(5). Let k = d + -27. Let j(f) = -f**3 + 4*f**2 + f. What is the least common multiple of k and j(4)?
12
Let u be (-12)/(-2)*1/2. Let f(c) = c**2 - c + 8. Calculate the common denominator of f(-6) and ((-64)/(-30))/(u/30).
3
What is the common denominator of 2/(-2)*(-73)/(-48)*-3 and -41/20?
80
Suppose 4*k = v + 14, -2*v + 3*k - 10 = 4*k. Let j = -5 - v. Find the common denominator of 17/6 and j/(-4)*(-166)/(-4).
24
Let u = 5 - 3. Suppose -4*l + 165 = -5*h, -4*l = u*h - 51 - 135. Let s = 10497/7505 - -2/1501. Calculate the common denominator of s and l.
5
Let z(m) = -m**2 + 5*m - 3. Let b(g) = 2*g**2 - 2*g - 2. Suppose -o + 4 = -4*u, -5*u + o + 6 = -3*o. Calculate the smallest common multiple of b(u) and z(3).
30
Let i(k) = k**2 + 3*k + 2. Let s(r) = r - 5. Let h be s(-7). Let j = h - -18. Calculate the lowest common multiple of j and i(3).
60
Let n = -4 - -8. Suppose -5*c + 22 = -i + 4*i, n*i + 4*c = 24. Suppose 5*m - 12 = 88. What is the lowest common multiple of i and m?
20
Let v(z) = -2*z. Suppose -2*g - 4*c - 26 = 3*g, -3*c = g + 3. Let d(p) = -p**3 + 2*p**2 + p. What is the smallest common multiple of v(g) and d(-2)?
84
Let w = -44 - -119. Find the common denominator of -41/6 and (w/(-10))/(21/4).
42
Find the common denominator of 2/(8/59) + 3/1 and -109/10.
20
Suppose -12 = 4*v - 7*v. Let b be 10/(-4)*(-18)/(-15). What is the common denominator of v and (-4)/(-6)*(-2)/b?
9
Suppose 6*j - j + 21 = u, 5*j - 59 = -4*u. Calculate the least common multiple of 6 and u.
48
Let m = 708/95 + -16999/3135. What is the common denominator of m and -83/12?
132
Suppose 2*b + 8 = -2*m, 20 = -0*m - 4*m - 2*b. Calculate the common denominator of 6/(-36)*m/2 and 35/18.
18
What is the common denominator of 2*303/(-12)*(-1)/2 and -25?
4
Let o be (0 - 0) + 108/(-4). Find the common denominator of -50/11 and -15*(o/(-12) - 1).
44
Let g be (-10)/(-244)*(3 + 21). Let t = 5421/488 - g. Let a = -2467/2 + 1262. Find the common denominator of a and t.
8
Let u be 3 + 0 - (-243)/20. Let n = u + 13/5. Find the common denominator of n and -83/14.
28
Let c be 110/3 + 6/(-9). Suppose -c = 3*o - 5*o. Let n(p) = -4*p - 2. What is the lowest common multiple of o and n(-4)?
126
Let x(t) = 21*t**3 + t**2 + t - 1. Let j = -7 + 10. Suppose -j*w = 2*w - 5. Calculate the lowest common multiple of x(w) and 16.
176
Let o be (-22)/(-8) + (-2)/(-8). Calculate the common denominator of o - ((-1380)/8)/(-5) and 76/3.
6
Let i = 5405/3 - 491909/273. Let v = -5258/819 - i. What is the common denominator of v and 3/2?
18
Let g = -63 - -43. Let n = -14 - g. What is the least common multiple of n and 10?
30
Suppose -y + 20 = 18. What is the least common multiple of y and 6?
6
Let x be (-2 + -3)*12/6. Let i = 0 - x. Calculate the smallest common multiple of 11 and i.
110
Let t = 13148 + -394261/30. Find the common denominator of -49/27 and t.
270
Let n be (-175)/(-28)*2*134. Let b = n - 3275/2. Calculate the common denominator of -43 and b.
2
Let g be 3/6*(3 - -5). What is the common denominator of 93/14 and 31/(-84) - g/(-14)?
84
Let u(a) = -a**2 - 7*a + 4. Let o be u(-5). Suppose -o + 2 = -2*t. What is the smallest common multiple of 4 and t?
12
What is the common denominator of -73/10 and 1/4 - (7684/(-720))/(-17)?
90
Let m be -4 + 2*(-9)/(-6). What is the common denominator of m/7 + 8350/(-840) and 49/10?
60
Let v be (15/100)/(6/(-289612)). Let o = v - -7233. Calculate the common denominator of o and -17/18.
90
Let g(v) = -v**2 + 5*v - 2. Let c be g(3). Suppose r - c*h + 86 = 6*r, 5*r = -2*h + 88. Calculate the lowest common multiple of r and 10.
90
Let b = -10 + 6. What is the common denominator of -53/5 and 128/(-60) + b/6?
5
Let f = 14/139 + -5864/55461. Let y be 1/(-2) + 6830/(-532). Let l = y - f. Calculate the common denominator of -53/7 and l.
21
Let d = -673373/35754 + 1/5959. What is the common denominator of d and ((-10)/(-18))/((-7)/(-77))?
18
Let q be 3 - (1 + (-1 - 1)). Suppose -29 = -o - q*k, -o + 3*k = -k + 11. What is the least common multiple of o and 4?
36
What is the smallest common multiple of 4 and 110/6 - 14/42?
36
Let n = 273624319/4653 - 58806. Let b = 21995/4653 + n. Find the common denominator of b and ((-4)/(-10)*-103)/(-4).
110
Let z be 2/(-8) + (-50)/(-8). Suppose 0 = -z*y + y + 65. Suppose 2*a + 5 = y. Calculate the lowest common multiple of 10 and a.
20
Suppose 4*z - m - 64 = 0, -3*z = -0*z + m - 41. Suppose -r = 4*a - z - 16, 155 = 5*r - a. Let n = 47 - r. What is the smallest common multiple of n and 2?
16
Let a(o) = -o**3 - 2*o**2 - 3*o - 2. What is the smallest common multiple of a(-2) and 16?
16
Let b(t) = -6*t**2 - 2*t - 2. Let s be b(-4). Suppose -171 = 5*w + 2*x, -5*w + 3*x - 167 = 7*x. Find the common denominator of -17/8 and 2/2 + w/s.
72
Let t(b) = 0*b**2 - 5 - 2 - b**2 + b + 8*b. What is the smallest common multiple of 5 and t(6)?
55
Let u = -55/51 - -2383/1122. What is the common denominator of u and -101/4?
44
Suppose 0*o = 5*o - 5. Calculate the least common multiple of o and 1.
1
Find the common denominator of (3/2)/(3/71) and 65/6.
6
Suppose -3*l + 12 = 3*x, 0*x - 16 = -5*l - 3*x. Calculate the least common multiple of l and 18.
18
Let q = -11 - -14. Let w be 29/3 - 4/6. What is the least common multiple of 2 and (11/3)/(q/w)?
22
Let q = -6 - -14. Calculate the common denominator of -111/20 and -1 + (7/q)/7.
40
Suppose 0 = -0*j + 2*j + l - 15, -3*l + 5 = -2*j. What is the common denominator of 121/10 and (-37)/j*4/8?
10
Let n = -1467/4 + 4607/12. Calculate the common denominator of n and -81/14.
42
Let j = 951/2 - 459. Let f = 54 - j. Calculate the common denominator of f and 39/4.
4
Let c = -567/5 + 2413/20. Let m(s) = -46*s**2 - 2*s + 1. Let o be m(1). What is the common denominator of 2/5 - o/(-10) and c?
20
Suppose 0 = -t - 5*c + 8, -3*t = 2*t + 5*c - 40. Calculate the smallest common multiple of t and 48.
48
Let x = -2 + 7. Suppose -5*n - 2*s + 36 = 0, s + 21 = x*n - 2*s. Suppose a = n*a + 195. Calculate the common denominator of a and -53/5.
5
Let d(f) be the third derivative of f**5/60 - 5*f**4/24 - 4*f**3/3 + 4*f**2. Calculate the lowest common multiple of 14 and d(8).
112
Let z = -185 + 731/4. Calculate the common denominator of z and 43/7.
28
Let h = 16403/5 + -3293. What is the common denominator of h and 31/8?
40
Let y(v) = 3*v**2 - 20*v - 47. Let k(c) = -c**2 + 7*c + 16. Let w(x) = -17*k(x) - 6*y(x). Calculate the lowest common multiple of 9 and w(0).
90
Let f be 1*(3/(-3) + 1). Suppose 2*n + 3*n - 80 = f. Calculate the least common multiple of 10 and n.
80
Calculate the common denominator of 5/20*(-66 + 0) and ((-77)/(-5))/(2/5).
2
Let t = -20231707/1155 + 245157/14. Let h = t + 1/66. Let k = -2/4851 - 22174/4851. What is the common denominator of h and k?
35
Let v = -7/15 - -167/15. Let i = 641/30 - 46/5. Find the common denominator of v and i.
6
Calculate the common denominator of (-1 - 13)/(36/17) and ((-6)/16)/((-63)/(-1876)).
18
Let c be (-8)/((-8)/(-396)*1). Let r = -3568/9 - c. Calculate the common denominator of r and -97/10.
90
Suppose 0 = 3*c - 2*w - 250, -4*c + 2*w = c - 418. Suppose -3*o = o - c. Let v = o - 9. What is the smallest common multiple of v and 2?
12
Let z(w) be the second derivative of -w**3/6 - 2*w**2 - w. What is the common denominator of z(0) and -5/11?
11
Suppose 5*n - 5*h + 1 = 3*n, 0 = 5*n - 2*h - 8. What is the lowest common multiple of 22 and n?
22
Suppose 2*c - 33154 = -3*b, -2*b + 3*c - 4*c + 22101 = 0. Let d = b + -132673/12. Let l = 2/43 - -39/86. Calculate the common denominator of l and d.
12
Calculate the common denominator of 17/9 and (2 + 44/(-56))*2.
63
Let b = 45 + -40. Calculate the smallest common multiple of b and 4.
20
Let l be (9/(-6))/((-3)/20). Let t = l - 7. What is the lowest common multiple of 9 and t?
9
What is the common denominator of 11/8*(-12)/30 and (99/(-10))/1 + 0?
20
Let r be (30/4)/(10/40). Let d(n) = n + 4. Let g be d(-6). C
|
{
"pile_set_name": "DM Mathematics"
}
|
least as big as -1?
True
Suppose 0 = -3*b + z + 7, -2*z + 25 = 4*b + 9. Suppose 4*i - 3*r - 19 = 5, 0 = b*r. Suppose i = -0*a - 2*a. Is -3 < a?
False
Suppose -12*q = -8*q + 4. Let k = -109/3 + 36. Are k and q non-equal?
True
Let l = -1/129 - -154/3225. Which is smaller: -2/7 or l?
-2/7
Let i(z) = z. Let c(m) = 7 - 2*m**2 + m**2 - 4*m - 3. Let u(q) = c(q) - 3*i(q). Let o be u(-7). Which is greater: 1 or o?
o
Suppose 30 = 2*s + 3*s. Let q = 130 + -126. Is q bigger than s?
False
Suppose -3 = 2*u + 2*u + j, 0 = 4*u - j - 3. Suppose 0 = -u*i + 3*i + 6. Let k be (-3)/i*4/6. Which is greater: 2/15 or k?
k
Let z = 1/5 + -19/45. Are z and -1 nonequal?
True
Suppose -5*u + 7 = 4*c, -u + 5*c = -6*u + 10. Is u != -4/29?
True
Suppose -i = 3*t - 2*i - 5, 2*t = -4*i + 22. Let a be 17/3 + (-9)/t. Which is smaller: 4 or a?
a
Suppose -5*t - 4*t = -4*t. Is t bigger than -4/25?
True
Let n be 34/((7 - 11) + (0 - -14)). Is 3 < n?
True
Let x = 9 + -2. Suppose -4*r - 2*j + 0 + 2 = 0, 5*r - 2*j = x. Which is greater: 1/4 or r?
r
Let j be 2 + -1*(-9)/(-3). Is -0.8 < j?
False
Let t be -3*(-7)/(-6) + (-2)/(-4). Is -2 at most t?
False
Suppose -3*z = 3*b - 18, 2*b = -b + 2*z - 7. Which is smaller: -6/25 or b?
-6/25
Let f be ((-3)/((-3)/(-4)))/3. Is f less than or equal to 0?
True
Suppose 0 = 3*k + 4*m + 112, 3*m - 37 + 4 = k. Let w = -141/4 - k. Suppose -2 = -6*g + 4*g. Is g greater than w?
True
Let f(o) = o**3 - 3*o**2 + o. Let x be f(1). Let l be (-3)/2*x/3. Which is smaller: -2/9 or l?
-2/9
Let s = -8 - -8. Let p be 2 + (-7)/(-9) + -3. Which is greater: s or p?
s
Let j(l) = l**2 + 7*l + 12*l - 8*l + 0*l**2 + 11. Let x be j(-9). Is -7 equal to x?
True
Suppose 0 = -5*h - 14 - 16. Which is smaller: -3 or h?
h
Let c = -137/187 - -14/17. Let u be 0/((-4)/(1*-2)). Is u at least as big as c?
False
Let y(l) = 11*l**2 - 3*l + 2. Let z be y(3). Let g be (2/z)/(3/(-12)). Suppose -13*d = 2 - 2. Is g != d?
True
Let y = 22/9 + -514/63. Which is bigger: y or -7?
y
Let a = 1 - 5. Let i = 2 + a. Let g = i - -1. Which is greater: 2/9 or g?
2/9
Suppose g + 5*a = -2*g + 65, a = -3*g + 49. Is g greater than 16?
False
Let o = -11.2 - -11. Which is smaller: o or 0?
o
Let y(r) = 2*r - 5. Let v be y(3). Are v and -3/40 unequal?
True
Let j(n) = -1 + n - 2*n + 0*n. Let p be j(5). Let k(q) = q**3 + 5*q**2 - 7*q - 5. Let o be k(p). Which is smaller: o or -2/21?
-2/21
Suppose -2 = 5*h + 3. Let r = -3.8 + 1.8. Is h greater than or equal to r?
True
Let j = -0.1 - -0.05. Are 1 and j equal?
False
Let m = 671/3 - 226. Which is smaller: m or -3?
-3
Let k be (-9)/(-2)*8*(-7)/84. Let n = 4/213 - 238/71. Is k bigger than n?
True
Suppose -3*k + 15 = 5*i, -2*i - 3*i + 5 = k. Suppose 8*j = 7*j + 18. Suppose -k*l + j = -t, -2*t + 3 = -2*l - 5*t. Is 4 at most as big as l?
False
Let r be (9/45)/((-1)/5). Are 2/25 and r non-equal?
True
Suppose -4*x = -4*o - 1 - 7, -x = -4*o + 1. Do 0.3 and o have the same value?
False
Let l = -16 + 8. Let q = -11 - l. Is q > 1?
False
Let t(k) = 10*k - 2. Let v be t(-2). Is v less than or equal to -21?
True
Suppose 0 = 4*w - w - 6. Is w greater than or equal to 2?
True
Let p be 2 + (-17 - -1)/4. Let b be p/((-3)/(27/(-42))). Which is smaller: 0 or b?
b
Let n = -4 - -5. Is 2 greater than or equal to n?
True
Let q be (-2)/14 + (-33)/63. Which is greater: q or -0.05?
-0.05
Let d be (-4)/(-10) - (-4)/(-10). Suppose -3*z + 3 = d, v + 4*v + 2*z = 22. Suppose 11 + 5 = -v*w. Which is bigger: w or -3?
-3
Suppose 0 = 7*n - 13*n - 252. Does n = -41?
False
Let l = 28 + -28. Which is bigger: l or -1/7?
l
Suppose 5*l - 3*l = 8. Suppose -3*t + 2 = -10. Is t at most l?
True
Let j = -64 - -56. Which is greater: j or -6?
-6
Let x = 0.5 + -1.5. Is 5 greater than or equal to x?
True
Let z be -2*(-1)/(-2)*-3. Suppose -z*d = d. Suppose 4*v - 5*i = 25, -5*v = 2*i - 7*i - 25. Is v at most d?
True
Suppose 4*x + x + 2*g = 16, 0 = 4*x - 3*g - 22. Which is bigger: x or 5?
5
Let w(b) = b**3 - 3*b**2 - 10*b - 6. Let l be w(5). Suppose 2*t = 42 + 18. Suppose -r = 4*r + t. Is l less than or equal to r?
True
Let m = -12 + 7. Let t = m + 3. Let y be (1/5)/(6/(-15)). Does y = t?
False
Let a(c) = -c**2 - 6*c + 4. Let m be a(-7). Let t = m + 7. Suppose 7*f = 2*f + 10. Which is smaller: t or f?
f
Let f be 2/1 + 76/5. Let b = -764/45 + f. Is b at least -1?
True
Let t = 50 + -49. Let s = -0.1 + 0.1. Let p = 1 - s. Is p at most as big as t?
True
Let w be (2 + -1)/((-5)/10). Is w < -1?
True
Let i = 1 + 0. Which is smaller: 1/16 or i?
1/16
Suppose 5*b = -15 - 0. Which is greater: -5 or b?
b
Let o = 11 - 13. Is -2 bigger than o?
False
Let g(p) = 4*p + 0*p**2 + 4*p + 4 + p**2. Let h be -5 + (-2 + 4)*-1. Let s be g(h). Which is bigger: s or 2?
2
Let w(k) be the second derivative of -k**3/6 - 9*k**2/2 - 2*k. Let x be w(-6). Suppose 0*b + 3*b = -12. Which is greater: b or x?
x
Suppose -8 + 3 = -5*n. Suppose 0 = 4*m - 0*x + x - 20, -2*x = 8. Suppose -m = -d - 2*d. Which is smaller: d or n?
n
Let r be 2/6 + (-1924)/(-15). Let j = r + -129. Is 0.3 != j?
True
Suppose -5*l = -49 + 19. Let c(a) = a**3 - 6*a**2 + 6*a - 1. Let m be c(5). Which is smaller: m or l?
m
Let l(v) = 10*v**2 - 5*v - 4. Let d be l(-8). Let s be 3 - (0 + d/228). Is 0 smaller than s?
True
Let n(r) = -r**2 + 6*r - 4. Let b be n(5). Suppose 0 + b = a. Let c be -1*(-3 - 172/(-60)). Do a and c have the same value?
False
Let x = 0.09 - 1.09. Which is greater: x or -2.3?
x
Let m = -5583/8 + 699. Does 1 = m?
False
Let q = -27 + 27.8. Is -4 bigger than q?
False
Let o(s) = -s**3 + 8*s**2 - 12*s + 31. Let d be o(7). Which is greater: d or -34/7?
d
Let j = 4/241 - -294/11327. Let p = 51/94 - j. Is p at most as big as 1?
True
Suppose 3*r + r = 3*t, t - 5*r = 0. Is t < 5/9?
True
Let f(b) = -b**3 + 5*b**2 + 8*b - 9. Suppose 0 + 24 = 4*d. Let v be f(d). Is v at least as big as 4?
False
Let z = -6 + 5. Which is greater: z or 2/49?
2/49
Let s = -92/95 + 7/19. Which is greater: s or -1?
s
Let o = 134/3 + -44. Suppose -3*y = 6*y - 8*y. Which is smaller: y or o?
y
Let d be (323/76 - 2/8) + -42. Is -38 at most as big as d?
True
Let v(b) = -b**2 + 3*b - 3. Suppose -2*w - w + 6 = 0. Let c be v(w). Which is greater: c or -3?
c
Let i = -7.4 - -7.1. Is 0 smaller than i?
False
Suppose -13*s + 18 = -4*s. Which is smaller: s or 5?
s
Suppose -2*a = -5*u - 20, u + 3*a = -u + 11. Which is smaller: u or -4?
-4
Suppose u - 4 = -0*u + b, 27 = 3*u + 2*b. Let d = -6 + 10. Suppose -d*t - 23 = -u. Which is smaller: t or -3?
t
Let q = -55 - -50. Is -5 != q?
False
Suppose 5*d - 7*d = 0. Is -6/13 at least as big as d?
False
Let p be (-4)/22 + (-204)/330. Let r = 21/20 + p. Does 0 = r?
False
Let v = 0.4 + 5.6. Let k = v + -6. Is 1 >= k?
True
Let r = -0.07 - -0.02. Let z = 2.95 - r. Is 0 equal to z?
False
Let s = 5 + 0. Which is greater: s or 2/7?
s
Let j = 4898038/21 - 233301. Let a = j + 61. Which is bigger: a or 0?
0
Let s(h) = -h - 15. Let q be s(-10). Let d = 6 + q. Which is smaller: d or 10?
d
Let h = 16 + -15.2. Let v = -1.1 + h. Suppose -5*s = -x + 1 + 6, 0 = 5*s - 4*x + 13. Which is bigger: v or s?
v
Suppose -4*l + 12 = -24. Let p = l - 17/2. Is p > 2?
False
Suppose -p + 0*p + 5 = 0. Suppose 4*x = -p*g + 23, -g + 0*g + 9 = 3*x. Are 5/6 and x non-equal?
True
Suppose 4*d - n = -4*n + 1363, 0 = 3*d - n - 1019. Suppose d = -c + 5*c. Let s = 427/5 - c. Are 2/3 and s unequal?
True
Let k = 76 + -78. Let y = -1 + 0. Let h be 3*(1/y + 0). Are h and k unequal?
True
Let q be (-1)/4*-1*2. Let x = -0.13 - 5.87. Let c = -5.8 - x. Is q at least as big as c?
True
Suppose 3*m = 2*v + 30, 3*m + 2 + 10 = 0. Let q be 12/v*(-7)/6. Which is smaller: q or -8?
-8
Let h be 6/21 - (-2)/(-7). Is -2/85 at most as big as h?
True
Suppose -20 = 4*r, 3*l = 4*r - 2*r - 5. Let v = l - -5. Suppose -9 = -3*t - v. Is t smaller than 4?
True
Let b = -5 + 2.8. Let y = b - -2. Is 0.1 not equal to y?
True
Let t(w) = w**2 - 4*w. Let f be t(4). Suppose -4*b + 3*c - 44 = 0, f*b - 4*c + 24 = -b. Let s be (-12)/b*4/(-10). Do s and 0 have the same value?
False
Let o(x) = 0*x**3 + 10*x - 10*x**2 + 5*x**3 - x + 1 - 4*x**3. Let u be o(9). Does u = 0?
False
Let k be (18/8)/((-1)/(-4)). Let t be (k/6)/(6/8). Suppose 3*a = -n - t*n - 21, -5*a - 5 = -5*n. Is n > -3?
False
Let o = 1 + 3. Suppose o*n + 4 = 5*n. Suppose 0 = 5*u - 3*c - 44 + 14, -u = c
|
{
"pile_set_name": "DM Mathematics"
}
|
1108061839.
251, 1277, 3457
What are the prime factors of 2185585794?
2, 3, 7, 283, 20431
List the prime factors of 5814633079.
31, 41, 4574849
What are the prime factors of 82105220?
2, 5, 37, 181, 613
What are the prime factors of 2866785545?
5, 13, 44104393
List the prime factors of 91553919.
3, 103, 127, 2333
List the prime factors of 28406233.
28406233
What are the prime factors of 111588300?
2, 3, 5, 37, 1117
List the prime factors of 2545295666.
2, 4363, 291691
What are the prime factors of 5936683413?
3, 1978894471
What are the prime factors of 99326725?
5, 1249, 3181
What are the prime factors of 227310363?
3, 7, 709, 727
What are the prime factors of 7311428?
2, 17, 19, 5659
What are the prime factors of 3450802590?
2, 3, 5, 38342251
What are the prime factors of 1656695125?
5, 13253561
List the prime factors of 1272772159.
1272772159
List the prime factors of 5723717878.
2, 29, 757, 130363
What are the prime factors of 49767061?
19, 1039, 2521
What are the prime factors of 12178843?
71, 337, 509
List the prime factors of 568728596.
2, 19, 7483271
List the prime factors of 5231200852.
2, 167, 7831139
What are the prime factors of 169443217?
9281, 18257
List the prime factors of 2802500682.
2, 3, 199, 2347153
What are the prime factors of 679365989?
25717, 26417
List the prime factors of 1287045408.
2, 3, 11, 19, 23, 2789
What are the prime factors of 369650856?
2, 3, 17, 906007
List the prime factors of 329735102.
2, 1453, 113467
What are the prime factors of 1515230942?
2, 151, 5017321
What are the prime factors of 134921110?
2, 5, 13492111
List the prime factors of 1732192645.
5, 17, 20378737
What are the prime factors of 1303298591?
7, 17, 1063, 10303
What are the prime factors of 3289564047?
3, 7, 11, 29, 181, 2713
List the prime factors of 618016122.
2, 3, 151, 75793
What are the prime factors of 25152330?
2, 3, 5, 7, 119773
What are the prime factors of 309924341?
359, 863299
What are the prime factors of 3003301557?
3, 19, 1951463
List the prime factors of 4269992537.
337, 967, 13103
What are the prime factors of 33466591?
17, 157, 12539
List the prime factors of 2357862661.
7, 11, 29, 1055917
List the prime factors of 4404532852.
2, 1101133213
What are the prime factors of 34798697?
5749, 6053
What are the prime factors of 1013447821?
19, 53, 353, 2851
List the prime factors of 3296084859.
3, 3833, 31849
List the prime factors of 3423373581.
3, 167, 6833081
What are the prime factors of 76811032?
2, 17, 191, 2957
What are the prime factors of 183754849?
183754849
What are the prime factors of 697276379?
109, 6397031
What are the prime factors of 50709005?
5, 19, 41, 47, 277
What are the prime factors of 258726460?
2, 5, 2909, 4447
List the prime factors of 4045821599.
67, 5623, 10739
What are the prime factors of 245301762?
2, 3, 23, 941, 1889
List the prime factors of 296951486.
2, 13, 11421211
List the prime factors of 265655521.
265655521
What are the prime factors of 102543081?
3, 34181027
What are the prime factors of 1529673974?
2, 17, 73, 616307
List the prime factors of 42106988.
2, 7, 11, 136711
What are the prime factors of 54717768?
2, 3, 7, 4021
What are the prime factors of 3003010058?
2, 37, 40581217
List the prime factors of 704836972.
2, 7, 3596107
What are the prime factors of 238511079?
3, 26501231
List the prime factors of 227756412.
2, 3, 13, 17, 28627
List the prime factors of 4527017466.
2, 3, 709, 1064179
List the prime factors of 349975620.
2, 3, 5, 739, 877
What are the prime factors of 1631468235?
3, 5, 108764549
List the prime factors of 360644189.
10369, 34781
What are the prime factors of 94907738?
2, 37, 73, 17569
What are the prime factors of 4197921363?
3, 61, 71, 35899
What are the prime factors of 4791832?
2, 571, 1049
What are the prime factors of 1936265883?
3, 12821, 50341
What are the prime factors of 531794088?
2, 3, 7, 31, 101, 337
What are the prime factors of 1733189138?
2, 577, 1501897
What are the prime factors of 46543735?
5, 7, 167, 7963
List the prime factors of 559202695.
5, 661, 169199
What are the prime factors of 30547025?
5, 89, 13729
What are the prime factors of 76950891?
3, 17, 29, 41, 47
List the prime factors of 1366289337.
3, 7, 17, 317, 12073
What are the prime factors of 76131173?
23, 457, 7243
List the prime factors of 32971751.
3371, 9781
List the prime factors of 483067641.
3, 7, 23003221
What are the prime factors of 447043892?
2, 111760973
List the prime factors of 62415546.
2, 3, 397, 26203
What are the prime factors of 279151329?
3, 41, 1213, 1871
List the prime factors of 85038630.
2, 3, 5, 509, 5569
What are the prime factors of 92247863?
151, 610913
What are the prime factors of 1663356036?
2, 3, 138613003
What are the prime factors of 146580245?
5, 7, 31, 53, 2549
List the prime factors of 2853488885.
5, 13, 43899829
List the prime factors of 30454849.
30454849
List the prime factors of 98394333.
3, 3919, 8369
What are the prime factors of 345985598?
2, 7, 17, 85513
What are the prime factors of 99881535?
3, 5, 13, 31, 41
List the prime factors of 708607.
23, 30809
What are the prime factors of 3309956069?
7, 472850867
List the prime factors of 51896205.
3, 5, 1153249
List the prime factors of 41801651.
41801651
List the prime factors of 1048802497.
17333, 60509
What are the prime factors of 257779652?
2, 13, 4957301
What are the prime factors of 98561473?
98561473
What are the prime factors of 800661372?
2, 3, 7, 23, 73, 811
List the prime factors of 312910530.
2, 3, 5, 131, 79621
List the prime factors of 99900755.
5, 17, 31, 1223
List the prime factors of 260451084.
2, 3, 17, 1276721
What are the prime factors of 266299703?
31, 167, 51439
What are the prime factors of 978049396?
2, 19, 12869071
List the prime factors of 553943159.
7, 11, 7194067
List the prime factors of 647064857.
647064857
List the prime factors of 3100541935.
5, 101, 6139687
What are the prime factors of 174444880?
2, 5, 23, 113, 839
List the prime factors of 42908713.
263, 163151
List the prime factors of 605987644.
2, 17, 8911583
What are the prime factors of 641708134?
2, 149, 601, 3583
List the prime factors of 1348259417.
271, 4975127
List the prime factors of 469433150.
2, 5, 29, 43, 7529
What are the prime factors of 115864373?
67, 179, 9661
List the prime factors of 5569167483.
3, 11, 659, 85363
What are the prime factors of 16511048?
2, 2063881
What are the prime factors of 10602612?
2, 3, 311, 947
What are the prime factors of 529056047?
13, 43, 461, 2053
What are the prime factors of 7076040?
2, 3, 5, 58967
What are the prime factors of 113947858?
2, 56973929
List the prime factors of 62131297.
62131297
What are the prime factors of 891263749?
547, 1629367
List the prime factors of 49495101.
3, 16498367
What are the prime factors of 1010476461?
3, 599, 562313
What are the prime factors of 6612327?
3, 244901
What are the prime factors of 1820891368?
2, 227611421
List the prime factors of 63825127.
79, 97, 8329
List the prime factors of 11314272.
2, 3, 19, 6203
What are the prime factors of 2718030722?
2, 11, 123546851
What are the prime factors of 929247725?
5, 7, 19, 23, 29, 419
List the prime factors of 11885936.
2, 571, 1301
List the prime factors of 1460409262.
2, 13, 1831, 30677
What are the prime factors of 98706925?
5, 3948277
List the prime factors of 145385302.
2, 19, 449, 8521
List the prime factors of 373177997.
131, 2848687
List the prime factors of 3820631317.
59, 64756463
What are the prime factors of 384566036?
2, 31, 3101339
List the prime factors of 912042716.
2, 13, 2729, 6427
List the prime factors of 39092965.
5, 1453, 5381
What are the prime factors of 66380056?
2, 1931, 4297
What are the prime factors of 4368853836?
2, 3, 43, 521, 5417
What are the prime factors of 3722742389?
439, 8480051
List the prime factors of 6623612554.
2, 13, 103, 2473343
List the prime factors of 43932549.
3, 31, 472393
List the prime factors of 57715770.
2, 3, 5, 7, 274837
What are the prime factors of 3312323780?
2, 5, 165616189
What are the prime factors of 758806807?
11, 2659, 25943
What are the prime factors of 114504280?
2, 5, 11, 197, 1321
List the prime factors of 344763953.
239, 1442527
What are the prime factors of 2604992534?
2, 2399, 542933
List the prime fact
|
{
"pile_set_name": "DM Mathematics"
}
|
d give i.
-258
Rearrange -3 + 867*o - 868*o + 81 + 3*o**2 - 4*o**2 to the form f*o + l*o**2 + a and give a.
78
Rearrange 2*t**2 + 0 + 1 + 0*t**2 + (t + t - 4*t)*(-t + 0*t + 3*t) + 3*t - 3*t + 3*t**2 + 2*t**2 + 6*t**2 + 5*t**2 to c*t + l + f*t**2 and give l.
1
Express (-h**2 + 0*h**2 - 3*h**2 + (-1 + 2*h**2 + 1)*(-3 + 0 + 1) + 26*h - 26*h - 15*h**2)*(-3 + 5 + 1) in the form a + k*h + w*h**2 and give w.
-69
Express (28*x**2 + 11 + 11 - 21)*(-15*x + 0*x + 5*x) in the form m + d*x + n*x**3 + f*x**2 and give n.
-280
Express (0*j**2 + 2*j**2 + 2*j**2)*((-5 + 1 + 2)*(-3*j + 4*j + j) - 2 + 2*j + 2)*(2*j + j - j - 2) in the form p*j**2 + i*j**3 + a*j**4 + k + q*j and give a.
-16
Express (-5*o**2 + 29*o - 29*o)*(3*o + 0*o - 4*o)*(-4*o + 5*o + 0*o)*(-1 + 2 - 3) as i*o + f*o**4 + u*o**2 + c*o**3 + s and give f.
-10
Express (5*m + m - m)*(4*m + 0 + 0) + (-2*m + 2*m - 2*m**2)*(-1 + 1 + 1)*(-2 + 1 - 2) in the form x*m**2 + z + k*m and give k.
0
Rearrange 144*j - 74*j - 70*j - j**2 - 140 to g*j**2 + w + s*j and give g.
-1
Rearrange (-92 - 2367*s + 1181*s + 1183*s)*(-2*s**2 + 6*s**2 - 2*s**2) to q*s + d*s**2 + a*s**3 + o and give a.
-6
Express j - 2*j + 6*j + 0*j - 173 - 3*j as f + z*j and give z.
2
Express 6*a - 168 + 168 + 3*a as d*a + z and give z.
0
Rearrange 450*d + 91 + 83 - 174 to c + s*d and give s.
450
Rearrange -2*q**3 - 61*q - 220*q - 1 + 37*q - 48*q + 2 to s*q**2 + w*q + u*q**3 + o and give u.
-2
Express (-y - 3*y + 2*y)*(3*y - 3*y - y)*(17*y - 41*y + 14*y) as g*y**3 + w*y + u*y**2 + d and give g.
-20
Rearrange -27 + 14*w + 0*w**3 - w + 6*w**4 + 0*w**3 - 11*w to q*w + v*w**4 + g*w**3 + h*w**2 + s and give s.
-27
Rearrange (-2 - 1 + 1)*(127*o**3 + 70*o**2 - 70*o**2) to the form w*o**3 + r*o + l*o**2 + g and give w.
-254
Rearrange 4*n + 13*n - 1 + 9 - 3*n - 4*n to the form c*n + s and give c.
10
Rearrange (2*g**2 - 2*g**2 - 3*g**2)*(-264 + 37 - 1) to h*g**2 + x*g + u and give h.
684
Rearrange -i**3 - 13*i**3 + 2*i + 5*i**3 + 3 - 46 + 6*i**3 + 2*i**2 to q + h*i**2 + f*i + b*i**3 and give q.
-43
Rearrange (0*w**3 - 3*w**3 + 4*w**3)*(-6*w + 0*w + 3*w) - w**4 + 0 + 0 + 7458 - 7458 + 6*w - 2*w**4 to the form l*w**2 + x*w**4 + t + m*w**3 + g*w and give x.
-6
Express 20*z - 4 + 18*z - 7*z**4 + 2 - 37*z as j*z + v*z**3 + n + p*z**4 + h*z**2 and give j.
1
Rearrange -3 + 1 + 3 - 1 + 147*u to v*u + q and give v.
147
Express n**2 + n**3 + n**4 + 76*n + 96*n - 201*n in the form x*n**2 + m + g*n + o*n**4 + y*n**3 and give m.
0
Express -15 + 50*i**3 - 52*i**3 - 46 in the form v*i + p + z*i**3 + w*i**2 and give p.
-61
Rearrange (1 + 5 - 5)*(-3*c**3 + c**3 + 3*c**3)*(279 - 22 + 2) to p*c**2 + d*c**3 + s + a*c and give d.
259
Rearrange -9*j + 2*j**3 + 17*j + 18*j - 26*j**4 + 28*j**4 to the form g*j**3 + c*j**4 + h + z*j + k*j**2 and give c.
2
Express (11 + 12 + 15 + 35)*(p**4 + 0 + 0) as i*p**2 + n*p**4 + q*p + d*p**3 + c and give n.
73
Express (-3*d**2 + 2*d**2 + 0*d**2)*(2*d - 2 + 2)*(2 - 1 - 2)*(0 + 2 - 1)*(80 + 66 - 36) in the form l + a*d**3 + u*d**2 + k*d and give a.
220
Express (5*i**2 + 6*i**2 + i**2)*(4 - 6 - 1)*(2*i + 16 - 16) in the form m + q*i**3 + n*i + b*i**2 and give q.
-72
Express (218*p - 15*p**2 - 218*p)*(-p**2 - 2*p + 2*p) as y + m*p**2 + c*p**4 + k*p**3 + s*p and give c.
15
Rearrange (3 - 3 - f + (6 - 3 - 2)*(f + 0*f + f) - 4*f - 16*f - 21*f)*(-2*f + 2*f - f) to g + k*f + l*f**2 and give l.
40
Express 6*a**4 - 8*a**4 + 3*a + 3*a**4 + a - 1 + 9*a**2 as s*a**3 + x*a**4 + w*a + z + o*a**2 and give z.
-1
Rearrange -21*y + 1 + 4*y + 16*y + 1 + 2 to q*y + o and give q.
-1
Express 7 - c + 13 - 50 - 36 as a*c + x and give x.
-66
Express (4*z - 5*z - 7*z)*((2*z**3 + z - z)*(2 + 6 - 5) + z**3 - z**3 + 2*z**3) as y*z**3 + x*z**2 + l*z + t*z**4 + j and give t.
-64
Rearrange 61 + 3*p**2 - 5*p**2 - 70 + p**3 to the form c + h*p**3 + m*p**2 + o*p and give m.
-2
Express 182*v - 54*v - 476*v - 417*v as s*v + d and give s.
-765
Rearrange (-9 - 11 + 1)*(-8*l**3 + 5*l**3 + 12*l**3) + l**3 + 0*l + 0*l + (-2*l**2 + l**2 + 2*l**2)*(-5 + 5 + l) to u*l + b*l**3 + n*l**2 + i and give i.
0
Express (-1 - 1 - 1)*((2 + 5 - 4)*(14*c + c + 0*c) + (-4 + 4 + 2)*(c - 3*c + 0*c)) in the form v + x*c and give x.
-123
Rearrange -676*j**3 + 154*j**2 + j - 15*j**2 - 139*j**2 to t + n*j**2 + x*j + h*j**3 and give h.
-676
Express (-26*p - 202*p - 29*p)*(6*p + 0*p - 4*p) as x + n*p**2 + a*p and give n.
-514
Rearrange 0 + 0 + 20745*h - 21032*h to m + p*h and give p.
-287
Rearrange -v**2 + 35*v**2 - 3*v**2 to the form k*v + i + s*v**2 and give s.
31
Rearrange 3*l**3 - 3*l**2 + 7*l**3 + 1 + 4*l + 19*l**4 + 0*l**2 - 10*l**3 to the form o*l**2 + i + m*l**3 + z*l**4 + w*l and give z.
19
Express (7 - 6 - m + 3*m)*(-6*m**2 + 4*m**2 - 3*m**2) in the form q*m + o + n*m**2 + g*m**3 and give g.
-10
Rearrange ((0 + 13 + 8)*(-3 + 5 - 1) + 1 - 5 + 3)*(0 + 0 - 3*g)*(-2 + 2*g + 2)*(3*g**2 - g**2 + g**2) to k*g**3 + l*g**4 + a + v*g + o*g**2 and give l.
-360
Express 338 + 36*y - 337 + y**2 + 4*y**3 - 6*y**3 as q + d*y**2 + z*y**3 + r*y and give r.
36
Rearrange (194 - 388 - 63*u + 192)*(-2 + 3 - 3) to the form v + x*u and give v.
4
Express -58*h**2 - h**3 - 63*h**2 - 37*h + 120*h**2 as w*h + d*h**2 + o*h**3 + v and give d.
-1
Rearrange 20*s - 7 + 12*s**4 - s - 17*s + s**3 to p + z*s**2 + d*s**3 + r*s**4 + a*s and give a.
2
Express 3564*d - 3564*d - 2*d**2 - 1 - 9*d**3 as k*d**3 + v + s*d + y*d**2 and give y.
-2
Rearrange z - 690 - 2*z + 125 to f*z + y and give f.
-1
Rearrange 72*c**2 - 15379 + 15379 - 2*c**2 + c - c + c**2 - c + c + (-c + 0*c - c)*(-c - 5*c + 4*c) to the form y*c**2 + d*c + p and give y.
75
Express 101*k - 55*k + 116*k as q*k + c and give q.
162
Express 0*i + 0*i + 2*i + (0 + i + 0)*(-1 + 1 + 1) + 0*i - 2*i + 5*i - 2128 + 2128 + 56*i in the form a*i + m and give a.
62
Rearrange -65*k**3 + 13*k**3 - 45*k**3 - 96*k**3 + 39*k**3 + (2*k - 2*k - k)*(9 - 9 + 4*k**2) to the form f + q*k**3 + y*k**2 + w*k and give q.
-158
Express -8*a**2 - 2*a**4 + 6*a**3 - 2*a + 22*a**2 + 5*a**3 - 6*a**3 in the form o*a**3 + b*a**2 + u*a**4 + z*a + y and give o.
5
Rearrange 31 + 6*b - 9*b - 4*b + 15*b - 2*b to the form i*b + y and give i.
6
Rearrange (-3*k**4 + 5*k**4 - 17*k**4)*(1 - 1 - 2) - 2*k**4 + 10 - 10 - 2*k**3 + 2*k**3 + k**4 to the form c*k + z + w*k**4 + v*k**3 + n*k**2 and give w.
29
Express (4*o**2 - 2*o**2 + o**2)*(8*o - 17*o + 10*o + 104)*(1 - 2 + 2) in the form z + s*o**3 + w*o + p*o**2 and give w.
0
Rearrange -a - 9*a**2 - 2 + 52*a**3 - 41*a**2 - 54*a**3 to the form r*a + h + p*a**3 + u*a**2 and give h.
-2
Express 0*c + c - 2 + 2*c**3 + 10*c**2 + 2*c**4 - 5*c**2 as h + y*c + k*c**3 + z*c**4 + w*c**2 and give z.
2
Express (0 + 2*f + 0)*(0*f**2 - 6*f**2 + f**2) + 2*f**3 - f**3 - 2*f**3 + 4*f**3 + 2*f**3 - 8*f**3 in the form y*f + p + w*f**3 + i*f**2 and give w.
-13
Express 0*d**2 + 2*d**2 + 816 - 815 - 775*d in the form i + z*d + o*d**2 and give o.
2
Express 3*s - 3 - 3797*s**3 - 6*s**2 + 3800*s**3 + 0 as z + b*s**3 + j*s**2 + f*s and give b.
3
Rearrange -24349 + 24349 - 6*r + 75*r to o*r + l and give o.
69
Rearrange (2*i + 13 - 13)*(1 - 6 + 4) + (-25*i + 28*i + 16*i)*(3 - 5 + 5) to x + b*i and give b.
55
Express 71*m - 2*m**4 + 2 - m**3 + m**2 - 19*m - 19*m as u*m + w + k*m**2 + a*m**4 + i*m**3 and give k.
1
Rearrange 647*g - 330*g - 548 - 316*g to p*g + i and give p.
1
Express -s**4 + 67*s**3 + 66*s**3 - 16*s - 131*s**3 in the form j + i*s**3 + o*s**4 + x*s + t*s**2 and give x.
-16
Express 5 - 5 - a + (2 - 1 - 2)*(7*a - a - 2*a)*(27 + 52 - 19) in the form m*a + f and give m.
-241
Express ((2 + 0 - 4)*(5*f + 17*f + 7*f) + 0*f + f + 0*f)*(0 - 2 + 1)*(1 + 3 - 2) as j*f + x and give x.
0
Express (1 + 1 - 1)*(-2 + 2 + 2*a) + 0 + a + 0 + 2*a - 5*a - 8*a + 10 in the form u + k*a and give u.
10
Rearrange (-43 - 894 - 511 + 111 - 25)*(2*m**3 - 3*m**3 + 2*m**3) to h*m**2 + o*m + a*m**3 + c and give a.
-1362
Express 8*b**4 + 5*b + b**2 + 8*b**4 - 25*b**4 + 13*b**4 as o*b**2 + p*b + n*b**4 + c*b**3 + a and give o.
1
Express -c + 2*c**3 + 11 - c**3 + c**2 - 2 as s*c + f + w*c**2 + p*c**3 and give w.
1
Express 2 + 2 - 3 - 3 - 88*f in the form j*f + b and give b.
-2
Rearrange (-141*k**2 + 141*k**2 + 15*k**3)*(23*k - 12 - 61*k + 36*k) to the form x*k**2 + w*k**4 + j + y*k + d*k**3 and give d.
-180
Express 12*d
|
{
"pile_set_name": "DM Mathematics"
}
|
reasing order.
-3, 2/9, 3/4, 4
Sort 2/11, 5/6, 106/7 in ascending order.
2/11, 5/6, 106/7
Put 152, 10, -5, 3 in increasing order.
-5, 3, 10, 152
Sort 4, 64, -3, -2 in increasing order.
-3, -2, 4, 64
Sort -4, 3, 0.4, -2.6.
-4, -2.6, 0.4, 3
Put -1, 1, -313 in ascending order.
-313, -1, 1
Put 9, -1/3, -0.1, -1 in decreasing order.
9, -0.1, -1/3, -1
Sort -5, 2, 40 in decreasing order.
40, 2, -5
Sort 1/4, 98, -1 in descending order.
98, 1/4, -1
Sort 4, 170, 2/5 in descending order.
170, 4, 2/5
Put -1, -185, 4 in ascending order.
-185, -1, 4
Put 283, -4, -1 in decreasing order.
283, -1, -4
Put 22, -12, 0.4 in increasing order.
-12, 0.4, 22
Sort 5, -70/29, -1 in increasing order.
-70/29, -1, 5
Sort -2, 377, 1 in descending order.
377, 1, -2
Sort 2738, -1, 0 in descending order.
2738, 0, -1
Sort 4, -19, -5, 1, 2 in increasing order.
-19, -5, 1, 2, 4
Put 4, 0.2, -2, -0.5, 4.7 in ascending order.
-2, -0.5, 0.2, 4, 4.7
Sort -2.3, -0.3, -10, 0.
-10, -2.3, -0.3, 0
Put -10, -0.39, -14, 1 in increasing order.
-14, -10, -0.39, 1
Put 15, 5, -5, -0.02, -1 in decreasing order.
15, 5, -0.02, -1, -5
Put 4, 0, 1, 5, -2 in descending order.
5, 4, 1, 0, -2
Sort 2, -3, 35.
-3, 2, 35
Put -25, -4, -5 in descending order.
-4, -5, -25
Sort 3/8, 3, 1/4, -5 in decreasing order.
3, 3/8, 1/4, -5
Put -27, -20, 3, -1 in descending order.
3, -1, -20, -27
Sort -2/179, -3, -13.
-13, -3, -2/179
Sort 0.5, 1/3, -0.7, -6 in decreasing order.
0.5, 1/3, -0.7, -6
Put -2, 3, -3, -1 in decreasing order.
3, -1, -2, -3
Put 0, -1/4, -4/5 in descending order.
0, -1/4, -4/5
Sort 1/2, -19, -0.3.
-19, -0.3, 1/2
Sort -3/4, -2/55, 1/5, -5 in increasing order.
-5, -3/4, -2/55, 1/5
Put 3, 0.777, 0.3 in increasing order.
0.3, 0.777, 3
Put 4, 27, -2, 1, -4 in decreasing order.
27, 4, 1, -2, -4
Put -1, 65, -0.03 in ascending order.
-1, -0.03, 65
Put 0, 35, -1, -4 in decreasing order.
35, 0, -1, -4
Put 0, 33, 5, -3 in decreasing order.
33, 5, 0, -3
Sort -1, -97, -5, 3 in decreasing order.
3, -1, -5, -97
Sort -14/5, 4, 3/8 in descending order.
4, 3/8, -14/5
Put -0.13, 1/2, -4 in decreasing order.
1/2, -0.13, -4
Put -3, -5, -0.5, -0.168, 0.4 in descending order.
0.4, -0.168, -0.5, -3, -5
Sort 0, 1/39, 7.
0, 1/39, 7
Sort -11/49, 1/3, 5 in ascending order.
-11/49, 1/3, 5
Sort 121, 8, 1.
1, 8, 121
Sort -2, 14, 0.06 in descending order.
14, 0.06, -2
Put 1, -1, -55 in ascending order.
-55, -1, 1
Put -3, -5, 110 in increasing order.
-5, -3, 110
Sort 1, -3, -1986 in decreasing order.
1, -3, -1986
Sort -2, -2/9, 3, -30, -0.4 in increasing order.
-30, -2, -0.4, -2/9, 3
Sort -3/7, 338, 5 in increasing order.
-3/7, 5, 338
Sort -12, -1, 0, -6 in decreasing order.
0, -1, -6, -12
Put 0, -4, 1, 4 in descending order.
4, 1, 0, -4
Sort -7, 3, 6, 0.2.
-7, 0.2, 3, 6
Put 0.5, -3/8, -2/3 in increasing order.
-2/3, -3/8, 0.5
Put -4, 7, 1/3, -76/9 in increasing order.
-76/9, -4, 1/3, 7
Sort 43, 3, -5.
-5, 3, 43
Put 0.3, -0.2, -93, 2/9 in descending order.
0.3, 2/9, -0.2, -93
Put -5, 212, -4 in decreasing order.
212, -4, -5
Sort 2/13, 2/15, 8/11 in ascending order.
2/15, 2/13, 8/11
Put 6, -0.4, 18/7 in increasing order.
-0.4, 18/7, 6
Sort 33078, 1, -4 in ascending order.
-4, 1, 33078
Sort 1, 0, 2/13, 8/3 in decreasing order.
8/3, 1, 2/13, 0
Put -3/4, -1/10, 1/3, 3, -0.9 in increasing order.
-0.9, -3/4, -1/10, 1/3, 3
Sort 421, -7, 1 in increasing order.
-7, 1, 421
Sort 1/6, -1/18, 2/9 in ascending order.
-1/18, 1/6, 2/9
Sort -8.4, 1/5, 1/16, -4 in increasing order.
-8.4, -4, 1/16, 1/5
Sort -0.08, 0.4, -2, -1/2 in ascending order.
-2, -1/2, -0.08, 0.4
Put -0.7, -1/5, -1, -0.1 in decreasing order.
-0.1, -1/5, -0.7, -1
Put -2, -3, 5, 44 in decreasing order.
44, 5, -2, -3
Sort -0.24, -4, -0.06, 0.01.
-4, -0.24, -0.06, 0.01
Sort -1, -2, 46 in decreasing order.
46, -1, -2
Put -0.54, -3, 0.2, -0.4 in ascending order.
-3, -0.54, -0.4, 0.2
Put 0.1, 1/26, 0 in increasing order.
0, 1/26, 0.1
Put -3/140, -5, 0.6 in increasing order.
-5, -3/140, 0.6
Put 2/19, 0.5, -4, -0.46 in descending order.
0.5, 2/19, -0.46, -4
Sort 11, -5, -51.
-51, -5, 11
Sort 3, -1, 14 in decreasing order.
14, 3, -1
Sort -5, 0.14, -0.6, -0.3.
-5, -0.6, -0.3, 0.14
Put -0.2, 1/2, -2/23, 1/4 in descending order.
1/2, 1/4, -2/23, -0.2
Sort 0.5, -5, -2/3, 2 in decreasing order.
2, 0.5, -2/3, -5
Put 0.03, 15, -21, 0.2 in descending order.
15, 0.2, 0.03, -21
Sort 3/2, -18, -60 in descending order.
3/2, -18, -60
Put -1, 4, 34, -2 in increasing order.
-2, -1, 4, 34
Put 1, -55, -4, -2 in decreasing order.
1, -2, -4, -55
Sort 4, 5, -12.
-12, 4, 5
Put -22, 2/7, -1, -0.5 in decreasing order.
2/7, -0.5, -1, -22
Sort 6, -0.4, -12/5 in ascending order.
-12/5, -0.4, 6
Put 2, -47, 7 in descending order.
7, 2, -47
Sort -11, 3, 4.
-11, 3, 4
Put -3048, 4, 0, -2 in increasing order.
-3048, -2, 0, 4
Put -20, -2, 6, 3 in increasing order.
-20, -2, 3, 6
Sort 4, 71, 0, 1, -3.
-3, 0, 1, 4, 71
Sort -4, -3, -18 in descending order.
-3, -4, -18
Put -116, 2, -2 in increasing order.
-116, -2, 2
Put -128, 0.3, -2 in decreasing order.
0.3, -2, -128
Put -5, -1, -15 in decreasing order.
-1, -5, -15
Put -3/2, -4, 1/2, 14.7 in descending order.
14.7, 1/2, -3/2, -4
Sort 5, -2/5, 11/5, -1 in decreasing order.
5, 11/5, -2/5, -1
Put 0, 6, 1 in ascending order.
0, 1, 6
Sort 0, -4, -2, 4 in decreasing order.
4, 0, -2, -4
Sort 5, -8, -0.381 in descending order.
5, -0.381, -8
Put -4, -0.5, 57/28, 1 in ascending order.
-4, -0.5, 1, 57/28
Put -2, 12, 8, -5, -7 in decreasing order.
12, 8, -2, -5, -7
Sort -4, -225, 4, -2 in descending order.
4, -2, -4, -225
Sort 1, -5, 14.
-5, 1, 14
Sort -4, -8, -13, 0 in descending order.
0, -4, -8, -13
Sort -31, 7, -3.
-31, -3, 7
Put -1/8, 161, -0.02 in decreasing order.
161, -0.02, -1/8
Put -18/77, 9, 5 in decreasing order.
9, 5, -18/77
Sort -1, 2, -54, 3 in descending order.
3, 2, -1, -54
Put 3/7, 0, 7 in increasing order.
0, 3/7, 7
Sort -8, 8, -1, 0 in descending order.
8, 0, -1, -8
Sort -4, 4, -0.45 in decreasing order.
4, -0.45, -4
Put -3/2, 2/19, -3/5 in descending order.
2/19, -3/5, -3/2
Sort -8, 5, -1, 1.
-8, -1, 1, 5
Sort 2, -18, -3/4 in decreasing order.
2, -3/4, -18
Put -0.05, -1, 11/14 in descending order.
11/14, -0.05, -1
Put 10, -2, 0, -5 in descending order.
10, 0, -2, -5
Put -6, -5, 0.04, -4 in increasing order.
-6, -5, -4, 0.04
Sort -32, -4, -9, -3, -1.
-32, -9, -4, -3, -1
Sort -6, 108, 4 in descending order.
108, 4, -6
Sort -3, -4, 171.
-4, -3, 171
Sort 1/2, -4, 5/4, -2/9 in ascending order.
-4, -2/9, 1/2, 5/4
Put 4/9, -0.04, -3, 0.19, 2/5 in ascending order.
-3, -0.04, 0.19, 2/5, 4/9
Put -44, 18, 11 in increasing order.
-44, 11, 18
Put 0.1, 2174, 4 in ascending order.
0.1, 4, 2174
Sort -1, 19, -2/17, 2/3 in descending order.
19, 2/3, -2/17, -1
Put 3, -1/2, 13/3, 1/3 in descending order.
13/3, 3, 1/3, -1/2
Sort -20, -4, 5, 4 in descending order.
5, 4, -4, -20
Put 3, 8, -4 in descending order.
8, 3, -4
Sort -2, -1, 10, -4 in ascending order.
-4, -2, -1, 10
Put -15, -3, 0, 5 in descending order.
5, 0, -3, -15
Put 166, -13, -1 in ascending order.
-13, -1, 166
Put 0, -4, -5, -0.0336 in increasing order.
-5, -4, -0.0336, 0
Sort -5, 4, 1, 5 in decreasing order.
5, 4, 1, -5
Put 52, 205, 5 in ascending order.
5, 52, 205
Sort -3/10, -32, 2/3.
-32, -3/10, 2/3
Sort -30, -6, 4, -10 in ascending order.
-30, -10, -6, 4
Put 12, 0.3, 0, -7 in ascending order.
-7, 0, 0.3, 12
Put 4, -1, -2, 3/14 in increasing order.
-2, -1, 3/14, 4
Put 20/187, 2/9, 5, 1 in descending order.
5, 1, 2/9, 20/187
Sort 9/5, -3, 18, 2 in decreasing order.
18, 2, 9/5, -3
Sort -0.57, 1/3, -2, -2/9.
-2, -0.57, -2/9, 1/3
Sort 65, 4, -5, -3 in descending order.
65, 4, -3, -5
Sort -1, -4, 5, -6 in descending order.
5, -1, -4, -6
Put 4, -1, 41 in decreasing order.
41, 4, -1
Put -16, 1, 12, 5 in decreasing order.
12, 5, 1, -16
Sort -6/19, -5/4, -4, -0.1, 0.5 in descending order.
0.5, -0.1, -6/19, -5/4, -4
Put -15, -2, 3, -5 in decreasing order.
3, -2, -5, -15
Sort 7, -2, 4.
-2, 4, 7
Sort 0.3, -12, 2/13, -7 in ascending order.
-12, -7, 2/13, 0.3
Sort -5, 2, 2/9, 0, 4 in increasing order.
-5, 0, 2/9, 2, 4
Sort -4, -13, 14, 3 in decreasing order.
14, 3, -4, -13
Sort 2, 82, 5 in descending order.
82, 5, 2
Sort 4, -1, 8, -2 in increasing order.
-2, -1, 4, 8
Sort 9, -5, 30 in decreasing order.
30, 9, -5
Sort -1, 1,
|
{
"pile_set_name": "DM Mathematics"
}
|
n halves of a litre?
5500
What is 63907.78 centuries in decades?
639077.8
Convert 2.139266 years to centuries.
0.02139266
How many millilitres are there in 2/125 of a litre?
16
How many centimeters are there in 509678.8m?
50967880
How many millimeters are there in twenty-six fifths of a meter?
5200
What is 0.9814285 millilitres in litres?
0.0009814285
Convert 74295.39ng to tonnes.
0.00000000007429539
How many millilitres are there in thirteen eighths of a litre?
1625
How many hours are there in 63.850338ns?
0.000000000017736205
What is 5/4 of a microgram in nanograms?
1250
What is 9341.332l in millilitres?
9341332
How many months are there in twenty-five halves of a century?
15000
What is 1/16 of a week in minutes?
630
How many years are there in 47/4 of a millennium?
11750
Convert 0.8877787 millilitres to litres.
0.0008877787
How many micrograms are there in 32241.89t?
32241890000000000
Convert 44947.47mm to micrometers.
44947470
How many centuries are there in 98927.82 millennia?
989278.2
What is 2/15 of a week in minutes?
1344
How many months are there in 34.2884 decades?
4114.608
What is 158.792508 hours in weeks?
0.9451935
How many months are there in six fifths of a century?
1440
How many seconds are there in 768014.2 weeks?
464494988160
What is 11/2 of a litre in millilitres?
5500
What is 2/125 of a kilometer in centimeters?
1600
Convert 281481.4ug to milligrams.
281.4814
What is 37/5 of a litre in millilitres?
7400
What is 6.425768cm in millimeters?
64.25768
What is seventeen quarters of a meter in millimeters?
4250
What is 0.5849249 micrograms in milligrams?
0.0005849249
What is 8.256915 nanograms in micrograms?
0.008256915
What is 895216.2 millimeters in micrometers?
895216200
Convert 69582.9 seconds to nanoseconds.
69582900000000
What is 1/5 of a litre in millilitres?
200
How many decades are there in 90.879 centuries?
908.79
How many nanometers are there in twenty-one fifths of a micrometer?
4200
What is fourty-seven quarters of a year in months?
141
Convert 258.90468 seconds to minutes.
4.315078
How many centimeters are there in one tenth of a kilometer?
10000
Convert 42.68702 tonnes to kilograms.
42687.02
How many microseconds are there in 48/5 of a millisecond?
9600
Convert 9366.813km to micrometers.
9366813000000
What is three sevenths of a week in hours?
72
How many hours are there in 0.4140513 weeks?
69.5606184
How many decades are there in one fifth of a century?
2
What is 1/5 of a meter in centimeters?
20
What is 11/2 of a litre in millilitres?
5500
What is 0.7416743 years in millennia?
0.0007416743
What is 39739.63 weeks in nanoseconds?
24034528224000000000
How many minutes are there in 204.59307 milliseconds?
0.0034098845
How many decades are there in 18/5 of a century?
36
What is 308.2782 decades in millennia?
3.082782
What is 39395.7774 minutes in weeks?
3.90831125
Convert 2.117965m to nanometers.
2117965000
How many centimeters are there in 12/25 of a kilometer?
48000
How many months are there in 220187.5 centuries?
264225000
Convert 54286.58ms to nanoseconds.
54286580000
What is 21/5 of a microgram in nanograms?
4200
What is 889217.7 centimeters in kilometers?
8.892177
What is 27/2 of a litre in millilitres?
13500
How many millilitres are there in 512.9923 litres?
512992.3
What is 11/4 of a meter in centimeters?
275
Convert 16.301868 months to years.
1.358489
How many millilitres are there in 13/8 of a litre?
1625
How many years are there in 6/25 of a millennium?
240
How many millilitres are there in 82607.17l?
82607170
Convert 0.2855211 microseconds to nanoseconds.
285.5211
Convert 782.935ml to litres.
0.782935
How many litres are there in 9.212198ml?
0.009212198
How many months are there in 1/4 of a century?
300
How many months are there in 21/4 of a century?
6300
What is 7/2 of a milligram in micrograms?
3500
How many decades are there in 6/25 of a millennium?
24
How many millilitres are there in 6/25 of a litre?
240
How many millilitres are there in one fifth of a litre?
200
What is 9/10 of a century in months?
1080
How many millennia are there in 22.7437 years?
0.0227437
How many decades are there in 0.782613 months?
0.006521775
Convert 4735.588 years to centuries.
47.35588
How many micrometers are there in 3.404166 centimeters?
34041.66
How many nanometers are there in 3/25 of a micrometer?
120
What is 3667.563nm in millimeters?
0.003667563
What is 0.1796199 seconds in nanoseconds?
179619900
What is 2549.525 years in months?
30594.3
What is 67/3 of a minute in seconds?
1340
What is 3/32 of a millimeter in nanometers?
93750
How many centuries are there in three fifths of a millennium?
6
What is seventeen quarters of a tonne in kilograms?
4250
What is nine tenths of a kilogram in grams?
900
What is sixty-one quarters of a litre in millilitres?
15250
What is three tenths of a decade in months?
36
What is 27/2 of a kilogram in grams?
13500
What is sixty-four fifths of a tonne in kilograms?
12800
What is seven eighths of a litre in millilitres?
875
How many millimeters are there in eleven halves of a meter?
5500
How many milligrams are there in fourty-five quarters of a gram?
11250
What is 3/5 of a milligram in micrograms?
600
How many millilitres are there in 55.34961 litres?
55349.61
What is 48/5 of a litre in millilitres?
9600
How many years are there in 64/5 of a decade?
128
What is 95.67422 litres in millilitres?
95674.22
What is eleven eighths of a millennium in months?
16500
How many nanograms are there in 45546.02mg?
45546020000
Convert 2209.12t to kilograms.
2209120
What is 411530.4 decades in years?
4115304
What is 27/2 of a litre in millilitres?
13500
Convert 0.4950413 years to millennia.
0.0004950413
How many litres are there in 619.649ml?
0.619649
What is 61.20815 grams in kilograms?
0.06120815
What is five quarters of a micrometer in nanometers?
1250
Convert 8951.332 weeks to microseconds.
5413765593600000
Convert 407.3069kg to grams.
407306.9
What is 0.6124924 decades in months?
73.499088
How many seconds are there in 11/2 of a minute?
330
Convert 0.2042628 centuries to millennia.
0.02042628
How many kilometers are there in 0.0291622cm?
0.000000291622
How many centimeters are there in 949.042um?
0.0949042
What is 71.3489 centimeters in kilometers?
0.000713489
How many nanograms are there in 9/10 of a microgram?
900
How many minutes are there in 3/10 of a day?
432
What is 5/6 of a century in months?
1000
How many millennia are there in 262.8781 decades?
2.628781
How many months are there in three eighths of a millennium?
4500
How many nanoseconds are there in 3/40 of a microsecond?
75
How many minutes are there in 1/6 of a day?
240
What is 2193.9345 microseconds in hours?
0.00000060942625
How many nanograms are there in thirty-seven fifths of a microgram?
7400
What is 234352.1 nanograms in micrograms?
234.3521
What is 47689.09 days in hours?
1144538.16
Convert 7.859059 kilometers to nanometers.
7859059000000
What is 7.72336 kilometers in nanometers?
7723360000000
Convert 0.8288817 months to millennia.
0.000069073475
How many tonnes are there in 3.742967kg?
0.003742967
How many months are there in 3/32 of a millennium?
1125
How many millimeters are there in 1486.789 meters?
1486789
What is 18/5 of a litre in millilitres?
3600
How many seconds are there in 3/28 of a week?
64800
Convert 99803.27 micrograms to nanograms.
99803270
What is 57721.06l in millilitres?
57721060
What is 62.4401 millimeters in nanometers?
62440100
What is 255250.3ug in tonnes?
0.0000002552503
How many kilograms are there in fifty-two fifths of a tonne?
10400
How many minutes are there in seven eighths of a day?
1260
What is 68846.71 milligrams in kilograms?
0.06884671
Convert 606.2752 micrometers to centimeters.
0.06062752
How many weeks are there in 20.760432 hours?
0.123574
How many millilitres are there in 7772.127 litres?
7772127
How many centimeters are there in 40032.6 nanometers?
0.00400326
What is three tenths of a tonne in kilograms?
300
How many months are there in nine sixteenths of a millennium?
6750
Convert 213087.5cm to meters.
2130.875
Convert 90317.4 litres to millilitres.
90317400
How many micrograms are there in 3/10 of a milligram?
300
Convert 0.65342mg to nanograms.
653420
How many nanometers are there in 4
|
{
"pile_set_name": "DM Mathematics"
}
|
ast as big as 18?
False
Suppose 4*r = 4*i + 6648, -2*i - 11*r - 3317 = -6*r. Is -1661 at most i?
True
Suppose 3*u + 5*n = -10 - 28, 4*n = -5*u - 59. Let t(w) = -w**3 + 28*w**2 - 1. Let s be t(28). Let v be u + 2 + (s - -2). Is v smaller than -7?
True
Let z = 15500 + -12120. Which is greater: 3377 or z?
z
Let t(n) = 2*n**3 - 33*n**2 - 90*n + 31. Let s(r) = r**3 - 17*r**2 - 45*r + 16. Let g(a) = -7*s(a) + 3*t(a). Let c be g(22). Which is greater: c or 21?
21
Let q = -50839 + 314540891/6187. Let w = 352631/86618 - q. Is 4 > w?
False
Let p(s) = -12 - 28*s + 3*s**2 + 0 - 3*s**2 + 2*s**2. Let z be p(15). Let i be z/8 - (3 - 1). Is i >= -1?
True
Let d = -75.3 - -75.856. Let x = d + 89.444. Which is smaller: x or 0.2?
0.2
Suppose -1651*v + 11988 = -1669*v. Is v less than -664?
True
Let t = 279870973/149 + -1878321. Let s = t + 70654/1937. Let c = 44 - s. Does -12 = c?
False
Suppose -1198 + 2710 = 109*v - 1431. Which is smaller: v or -4?
-4
Suppose 29*f + 3*j - 933 = 28*f, 15 = -3*j. Is -2/5 bigger than f?
False
Let z(o) = 10*o**2 - 80*o - 425. Let c be z(-5). Which is smaller: 227 or c?
c
Let h(g) = -4*g**3 - 9*g**2 - 46*g - 217. Let m be h(-4). Which is smaller: m or -11?
-11
Let f = -1.4 - -0.4. Let q = -32711 - -359813/11. Which is smaller: q or f?
f
Let o = -11136.608 - -11138. Is 0.3 greater than or equal to o?
False
Let m = -9896.98 + 9897. Is m > 1103?
False
Let v be 25290/(-80) - (-3)/(-48)*-2. Which is greater: v or -2222/7?
v
Let g = 5057/42 - 779/6. Is 8 greater than g?
True
Let d = -24242 - -24158. Which is smaller: -5.1 or d?
d
Let z(r) = -31*r + 214. Let i be z(7). Let o be (-35)/21 - -3 - 1178/i. Is o equal to 394?
True
Let m = 869 + -866. Let b be 3*m + 6 + -16. Is -1/355 greater than b?
True
Suppose 0 = -3*s + 7*s. Let x = 298861 + -31978131/107. Is s less than x?
False
Suppose 4*j + 125 + 231 = -4*n, 5*j + 431 = 2*n. Let z = -51 - j. Let r = 34 - z. Which is bigger: 19 or r?
19
Let v = -0.02 - 0.38. Let j = v - -0.6. Let y be -30*18/54*6/(-4). Which is greater: j or y?
y
Let y be (-36)/(-10) + (99/(-15) - -6). Suppose -40 = -4*x - 2*g, y*g - 11 - 25 = -3*x. Let p be 18/(-144) + (-15)/x. Is -15 greater than p?
False
Let k be ((-18)/(-9))/(-78)*-1. Is k at least 0?
True
Let f be ((-78)/21)/((-52)/182). Suppose 2 = -0*p + 2*p, -3*p + 113 = -5*b. Let t = -5 - b. Is f > t?
False
Let u = -6893.1 - -6890. Which is smaller: -83 or u?
-83
Let f be 1/(1 - -6)*(-280)/(-24). Is -5 less than f?
True
Let q be 3729/3503 + (-4)/62. Which is greater: q or 16/1543?
q
Let y = -2719.09 - 15.91. Which is smaller: 0 or y?
y
Let z = -2 - -15. Let v = 33 - z. Let o = 2056 + -2055. Which is smaller: o or v?
o
Let a(d) = 0*d**3 + 3*d + 9 + d**2 - d**3 - 17. Let s be a(0). Is -8 smaller than s?
False
Let n(d) = -2*d**3 + 34*d**2 - 105*d + 5. Let j be n(4). Which is greater: 22/71 or j?
j
Suppose -5*z + 4025 = -320. Let r = z - 16506/19. Is r bigger than 1?
False
Let f = 374.2 - -36.8. Let t = 410.055 - f. Let i = t - -0.9. Is -0.1 equal to i?
False
Let y(s) = -48*s - 4123. Let b be y(-86). Let l = 0 - -4. Let t = l - 0. Does t = b?
False
Let x be 34/119*42/(-102) - 30/34. Is x less than -4/377?
True
Let m(v) = 117*v - 270. Let n(t) = 9*t - 21. Let c(l) = 4*m(l) - 54*n(l). Let s be c(5). Are -37 and s non-equal?
True
Let o = -213757/2 + 104651. Suppose 55369 + 110487 = 73*w. Let n = o + w. Is n greater than 44?
True
Let v = -53.948 + -0.052. Let g = -0.091 - -0.173. Let f = g + -0.182. Is v equal to f?
False
Let v(j) = 29*j**2 - 697*j + 23. Let b be v(24). Which is greater: 16/1111 or b?
16/1111
Let f(q) = 10*q**2 + 13*q - 3. Suppose 0 = -x + 3*j - 18, -4 = 16*x - 14*x + 2*j. Let k be f(x). Are 278 and k unequal?
True
Suppose -31 = 4*n + 9. Let l be ((-1 - 20)/(-1) - -3)*-3. Let f = l + 60. Which is smaller: f or n?
f
Suppose 0 = -961*y + 977*y - 1152. Is y less than -2?
False
Suppose 0 = -100*v + 99*v + 789. Let u = v - 2335/3. Is 12 >= u?
True
Let h be (-3)/(-6) - (-4)/(-8). Suppose -20*k + 4 - 4 = h. Which is smaller: -24/43 or k?
-24/43
Let s be -72*((-9)/(-4) - 3). Suppose 116 = 5*k - s. Let g be 8 - 150/(-4)*(-1 + (-55)/(-33)). Is k < g?
False
Let o be -1 + 10 + (-6 - 651/287). Let t = 1.01 + -0.01. Is o != t?
True
Let u = -66.6 - -51.2. Let j = u + 17.4. Let i be (-46)/(-63) + (-4)/14. Which is bigger: i or j?
j
Suppose 2635*f + 3*v = 2633*f + 6, 2*v = 4*f + 4. Which is greater: f or -3/80?
f
Suppose 12*h = 9*h - 138. Let m = h - -50. Let y be 21/(-3) + m + 6 + 0. Which is greater: y or -2/15?
y
Let a be 12 - (-2)/(-8)*20. Let u be a/3003*423 - 1. Let b = 1 - 2. Which is greater: b or u?
u
Let u = 1039 - 1091. Which is smaller: -103/2 or u?
u
Let y be (-9)/(-6)*20/(-15). Let c(b) = b**3 - 3*b**2 + b. Let z be c(2). Let t be (40/(-6) - z) + 3. Which is smaller: t or y?
y
Let c = -896 + 900. Let d be -10*(-68)/(-312) + (6 - c). Which is greater: 0 or d?
0
Let c(d) = 8*d + 73. Let i be c(-33). Let w = i - -218. Is w at least as big as 20?
True
Let g = 3204 - 73710/23. Let q(y) = 2*y - 6*y - 18 - 6 + 3*y. Let k be q(-22). Is k < g?
True
Let i be (1 - (-6)/(-8))*(-168)/(-196). Suppose -4*u = -10 + 26. Let g be (0*(-4)/u)/1. Which is greater: i or g?
i
Let z be (-3)/((-135)/(-6)) + ((-1856988)/144315 - -13). Is 0 <= z?
False
Let x = 22127/4 + -1305145/236. Do 0 and x have different values?
True
Let n be (-1)/2 - (-3)/18. Let w(t) = 41*t - 47. Let u be w(-3). Is u equal to n?
False
Let l(f) = -f**2 - f**3 + 47*f + 36 + 16 - 19*f**2 + 2. Let m be l(-22). Which is bigger: m or -93/8?
-93/8
Let g(m) = m**2 - 8*m - 33. Let z be g(-3). Let o be (-40)/((-1)/(1/(-1))) + z. Which is smaller: -36 or o?
o
Let i(z) = 2*z + 15. Let s be i(-4). Suppose -255 = -2*w + s*w. Suppose v - 153 = 4*v. Is w less than v?
False
Let z(a) = -62*a - 5708. Let b be z(-92). Is b <= -75/22?
True
Let t(n) = -n**2 + 51*n - 488. Let y be t(37). Which is smaller: y or 31?
y
Let n be ((-490980)/280)/((-3)/(-6)). Which is bigger: -3510 or n?
n
Suppose a = 5*n - 515, 6*a - 3*a + 5*n + 1505 = 0. Let s be (2 - -2) + a/375*3. Suppose 7 = -3*r - 4*c, -2*r - 3*c + 2 = -7*r. Is s at most as big as r?
False
Let b = 24 - 48. Let x = b - -23. Let d = 0.046 + 0.234. Which is smaller: x or d?
x
Let w(y) = 72*y - 28. Let m be w(4). Let h = 261 - m. Is h less than 7/10?
False
Let q(l) = -l**3 - 18*l**2 - 15*l + 4. Let h be q(-17). Let z be (h/72)/((-30)/16). Which is smaller: z or 0.004?
0.004
Let a be 1 + (-210)/198 - (-238)/3927. Let i(h) = -h**3 - 5*h**2 + 8*h + 6. Let c be i(-6). Let b be 24/(-33)*c/4. Which is bigger: b or a?
b
Let v be (-48)/(-26) - (-2)/13. Let p be ((-2)/v)/(15/(-117)). Let o = -530/3 - -176. Do p and o have the same value?
False
Let l = 263.43 - 266. Let j = -1.57 - l. Let n be ((-5)/(-555))/1*6. Does j = n?
False
Let o be 3/(88/(-18) - (9 - 14)). Let l be 5*(-6)/52*18/o. Is 0 equal to l?
False
Suppose -3*q = -5*u - 0*u + 33383, 0 = -2*q - 5*u - 22247. Which is greater: 2/5 or q?
2/5
Suppose 2*b = 449 + 1005. Let a(n) = n**2 - 3809*n - 110574. Let q be a(-29). Is b < q?
True
Let i = 137 - 136.995. Let d = -1.975 + 2. Let p = d + i. Which is smaller: p or 2?
p
Let k(y) = -3*y + 19. Let f(b) = -3*b + 17. Let n be f(4). Let o be k(n). Suppose -o*h = -3*x + 11, 2 = -2*h - h + x. Which is smaller: -1 or h?
-1
Let c be 4/5 - 90/50. Let n be (0/c)/(-3 - -1). Suppose 5*y = -n*y - 35. Is y at least as big as -7?
True
Let c(u) = -u + 9. Let t be c(12). Let h be ((-4)/24)/(t/(-18)). Let n be (-2)/(-5) - (-6)/(-15). Which is smaller: n or h?
h
Let n(d) = -d**3 - 296 + 282 + 2*d + 2*d + 4*d**2. Let y be n(3). Let k(s) = s**2 - s - 2. Let u be k(2). Is u <= y?
True
Suppose b + 2*g + 6 = -40, -2*b = -3*g + 78. Let w(j) = -18*j - 6. Let v be w(-3). Let k = v + -90. Is b greater than or equal to k?
True
Let z = -78.095 + 78. Let t = z + -0.905. Let k be 0 - 14*(-4)/88. Which is greater: k or t?
k
Let n be (-15 - -2773)*4/14. Which is smaller: 786 or n?
786
Let y be 4/(-2) - (-2 + 1). Let f be 133/(-28)*(2 + (-996)/16). Let b = f + -286. Which is bigger: b or y?
b
Let a be 26/39 + 74/6. Suppose 0 = -q - 3*s + 16, -3*s + a = -16*q + 14*q. Which is bigger: -1/127 or q?
q
Let a(z) = -z**3 - 19*z**2 - 33*z + 18. Let p be (6/9 + -1)/((-5)/(-255)). Let w be a(p). Are -1/10 and w nonequal?
True
Suppose z
|
{
"pile_set_name": "DM Mathematics"
}
|
-1
Suppose -10*c + 666 = -16*c. Is c at most -112?
False
Let b = -41 + 29. Let l be (1/2)/(3/b). Is l bigger than -2?
False
Let u = -74 + 77. Does u = 13?
False
Suppose 2 = -4*k - 18. Let s be (2/k)/((-1)/5). Which is smaller: 3/4 or s?
3/4
Let l be (-2)/((16/(-10))/(-4)). Let a be (-3 - l) + -3 + 2. Suppose 0 = -3*j - 2*j. Is a greater than or equal to j?
True
Let i = 18 + -16. Let v(g) = 4*g**3 - 4*g**2 - g. Let s(p) = -3*p**3 + 3*p**2 + p. Let n(k) = 3*s(k) + 2*v(k). Let h be n(-1). Are h and i unequal?
True
Let c = -17.66 + -0.34. Let f = c - -17.94. Does 0 = f?
False
Suppose 6*q - 5*q + 4 = 0. Let w be 21/3*q/(-14). Is 1 <= w?
True
Let r(d) = -d**3 + d + 1. Let t be r(0). Let z = 22.15 + -22. Let v = z + -0.15. Are v and t equal?
False
Let h be (4 - 87/18)*2. Do -3 and h have the same value?
False
Let w(m) = -m**2 - 6*m + 2. Let g be w(-5). Which is greater: g or 1?
g
Let u be (-6 - (-17)/3) + 22/39. Which is smaller: 1/3 or u?
u
Let s(z) = -5*z + 5. Let o be s(3). Which is bigger: -11 or o?
o
Let a(v) = -v + 9. Let y be a(7). Suppose y*h = -h. Is h smaller than -2/5?
False
Let k = -5 + 14. Let s be 6/(-4)*(-6)/k. Which is smaller: 2/23 or s?
2/23
Let b(h) = h**3 + 5*h**2 + 5*h + 3. Let a be b(-4). Which is greater: a or -1/12?
-1/12
Let n be (4/(-222))/(-4*(-7)/(-42)). Is n at least as big as 0?
True
Suppose 2*t + 12 = -3*t + a, -a = -4*t - 10. Suppose -5*p = -2*p + 9. Let j = p + 0. Which is bigger: j or t?
t
Let v be 0/(2/(-1)) - 11. Let j = v + 8. Suppose 0*c + 6 = -3*c. Is c <= j?
False
Let i = 0.2 - 1. Let l = -1 - i. Let n = -0.38 + 0.08. Which is bigger: n or l?
l
Let o = 132/13 + -1002/91. Which is smaller: o or -1?
-1
Let g = 4.553 + 0.047. Let y = g + -5. Let h = y + 2.4. Which is smaller: 1/3 or h?
1/3
Let g be (-4)/(-8) + (-1)/2. Let a = 1/76 - -449/532. Is g at most as big as a?
True
Let t = -10/697 + 3/41. Which is bigger: t or -1?
t
Suppose 3*o + o + 4 = 0. Let y be -1 - -2*(0 + o). Let s = -4 - y. Which is smaller: 2/23 or s?
s
Suppose 0*t - 3*t - 24 = 3*h, 4 = 3*h - 4*t. Let i be h/22 - (-2)/(-110). Suppose 3*y - 3 = 0, 5*g + 2*y = -0 - 3. Are i and g nonequal?
True
Let d(z) = z + 11. Let g be d(-10). Suppose 5*r = -4*m - 13, -3*m = -2*r - r - 24. Let x = m + -2. Is g > x?
False
Let p = -31 + 31. Is p smaller than -2/15?
False
Suppose 0 = -2*d + 4, d = -5*t - 4*d + 35. Suppose -3*m - m + 16 = 0. Is t <= m?
False
Suppose -39*w + 40*w - 2 = 0. Is 1 greater than w?
False
Suppose 2*z = -3*z + 5. Let j = 31537/54 + -584. Which is greater: j or z?
z
Let m be 0 - 1/(-3)*0. Let j(c) = c**2 - c + 1. Let n be j(0). Is m greater than n?
False
Let n = 39 - 23. Suppose -5*u + n = 5*v + 1, -3*v = -2*u - 14. Does u = 0?
False
Let b be (1 - 1)/3 - -1. Let k be b - 0/(-1 + 5). Which is smaller: 1/4 or k?
1/4
Let h = -8 + 12. Suppose -h*a + a - 9 = 0. Suppose -5*c - 14 = 4*o - o, -3*c - 18 = 5*o. Is o < a?
False
Suppose -4 + 4 = t. Are -1/42 and t nonequal?
True
Let a be 1 + (2 - 1)*-1. Suppose a = 4*x - 1 - 15. Suppose -3 = -x*m - 7. Which is greater: -2 or m?
m
Let q = -14 - -22. Let n = -6 + q. Let k be 0/n*(3 + -2). Is k less than or equal to 0?
True
Let u = -14 + 25. Let l = 11 - u. Let q = 3 + -4. Which is bigger: l or q?
l
Let y = -2 + 6. Suppose 3*w = y*w + 1. Do -4 and w have the same value?
False
Let k = 28 - -80. Let s = 104.98 - k. Let m = s - -0.02. Which is bigger: 1 or m?
1
Let m = 60.2 - 60. Is 0.2 at most m?
True
Let t = -9 + -6. Is t less than -16?
False
Suppose 0 = -7*m + 8*m - 1. Which is greater: m or 1/150?
m
Let h(v) = 5*v**2 - v. Suppose 0*a + 22 = -3*n - 4*a, 5*n + 6 = a. Let y = n + 3. Let s be h(y). Is 2 < s?
True
Suppose -4*y - 3*n - 2*n = 8, -2 = y - n. Let w be 2 - y/((-16)/14). Which is greater: -1 or w?
w
Suppose -3*z - 5 = 2*z. Let g = z - 4. Suppose 3*n + 30 = -3*n. Is g <= n?
True
Suppose -3 = -b + 6. Suppose -2*z = -1 - b. Is 5 < z?
False
Let w = -0.1 + 0.1. Suppose -5*c + 32 = -c + 4*k, 5*c = 4*k + 49. Let p = -10 + c. Which is smaller: w or p?
p
Suppose 5*n + 5*k = 5, -4*n - 1 = 3*k - 6. Suppose -g + 4 = -3*g. Which is greater: n or g?
n
Let l = -0.6 + -7.4. Let a = 8.1 + l. Let r = 0 + a. Which is greater: r or -0.2?
r
Let i(w) be the first derivative of 3*w**4/2 - 2*w**3/3 + w**2/2 - 2. Let l be i(1). Let q be -6 + l - (2 - 0). Is -2 bigger than q?
True
Let z be 6/(-14)*(-42)/(-24). Suppose 2 = -0*f - f. Let s be f/(2 - 1 - -1). Are z and s equal?
False
Let b = 1.84 + -2. Let h = 0.06 - 0.1. Let j = h + b. Which is smaller: j or -0.1?
j
Suppose -r = 2*r. Is r less than or equal to 2/25?
True
Let z = -8 + 12. Let x = z - 7. Let c = -6 - x. Which is smaller: c or -0.1?
c
Let k be 3/(-12) + (-33)/44. Which is greater: k or 2/9?
2/9
Let p be (2 - (-79)/(-11)) + 2/11. Is -1/3 at least p?
True
Let u = 4.9 - 34.9. Let v = u - -29.7. Let b = -2.9 - -3. Which is bigger: b or v?
b
Let s be ((-2)/(-132))/(524/18996). Let n = s - 1/262. Suppose 2*r - 2 = r. Which is smaller: r or n?
n
Let j be ((-3)/(-2))/(18/(-6)). Let u(p) = 5*p**2 - 37*p + 28. Let r(i) = -i**2 + 9*i - 7. Let v(l) = -9*r(l) - 2*u(l). Let h be v(-8). Does j = h?
False
Let t = 10.1 + -7. Let x = t - 1.1. Which is bigger: 0.1 or x?
x
Let i(d) = -d - 1. Let w be i(-2). Let p be (-2*w/6)/(-1). Is p <= -2/7?
False
Let d = 3 + -9. Let k be d/(-18) - 8/15. Is k at least as big as -1?
True
Let f = 0.3 + 0.2. Let z be (0/(-1))/(-5 + 3). Which is smaller: z or f?
z
Let o = -8 - -6. Let h be (-2 - 2) + 2 + 60/25. Which is smaller: h or o?
o
Let o = 1.8 - 8.8. Is 1/3 less than o?
False
Let q(s) be the third derivative of s**5/60 + 7*s**4/24 + s**3 + 4*s**2. Let t be q(-5). Which is greater: -3 or t?
-3
Let p be ((-2)/4)/(2/(-96)). Suppose -p = -5*m - 9. Suppose -4*s + 5 = -5*f - 4, -7 = m*f - 4*s. Is f at most -1/8?
True
Let j be 5/75 + (-2)/(-6). Let w be (4 - (-6)/(-2))/(-1). Which is greater: w or j?
j
Let d = -3 + 5. Suppose -4 = -d*z - 2*z. Which is smaller: 0 or z?
0
Suppose 0 = 3*c - c - 6. Suppose 5*m = -7 - c. Suppose -2*i - 8 - 13 = 5*f, -4*f = -3*i + 3. Is i not equal to m?
True
Suppose 4*y = -2*v, 9 = -5*y + 2*y + 3*v. Is -2/19 less than y?
False
Let b be 17 + -1*1 + -1. Suppose 6 = 4*o + 46. Let x = o + b. Are 5 and x non-equal?
False
Let l = 0 + -1. Let k be (4/7)/((-1290)/(-105)). Which is greater: l or k?
k
Let k = -42 - -43. Let m be ((-9)/24)/(1 + 0). Which is bigger: m or k?
k
Let i(g) = -g**3 - 3*g**2 + 4*g + 5. Let p be i(-4). Let x be (15/(-6))/(p/(-4)). Is x less than 12/7?
False
Let j be (-1)/(-3) - 14366/78. Let l = j + 184. Do 1 and l have the same value?
False
Suppose -2*q + 3*k = -3, k - 2 = 1. Is q smaller than 8?
True
Let q = 83 - 22. Let f be q/4 + (-2)/8. Let a = f - 11. Is a at least as big as 5?
False
Let u = 170 + -1532/9. Suppose -2*s = -5*j - 23, 2*j - 13 = -2*s + 5*j. Is u bigger than s?
True
Let f = -3 + 3. Suppose 0 = -5*g - 5 - f. Does -1/2 = g?
False
Let n be 5/(5/4)*1. Let r = -3/14 - 1/28. Which is bigger: n or r?
n
Let z be (-3)/(2/(8/(-30))). Let t = -0.2 - -0.23. Let y = -0.33 + t. Are y and z equal?
False
Let k = -31 - -12. Let s = 21.2 + k. Let o = 0.2 - s. Which is greater: -1 or o?
-1
Let d be -2 - (15/(-24) + -2). Which is smaller: 2 or d?
d
Let p = -1.6 + -4.4. Let k = -103.1 + 103. Which is bigger: p or k?
k
Let v(p) = p**2 - p + 11. Let z be v(0). Is z bigger than 11?
False
Let f = -2 + 25. Which is smaller: 22 or f?
22
Let n = -5/68404038556 + -360863324150738/2880298623483. Let a = n - -5/4716. Let r = 125 + a. Which is smaller: 0.1 or r?
r
Suppose -10 = b + 4*b. Let y(r) = r**3 - 4*r**2 + r + 4. Let s be y(3). Is b equal to s?
True
Let n(v) = -v**3 - 4*v**2 - v - 4. Let r be n(-4). Suppose r = 3*s - 0*s. Is s at most -3/4?
False
Let p = -175782/5 + 865087/25. Let m = 553 + p. Which is smaller: -1 or m?
-1
Let l be 1 + 0 + -2 + 0. Let f = -0.9441 - 0.0559. Is f at least as big as l?
True
Let p = -2 + 4. Let v be (12/(-8))/(1/p). Let d = 4 + v. Which is smaller: 0 or d?
0
Let x be 2 + -2 - (6 + -3). Let b be (x - 0)/(6/4). Which is bigger: -3 or b?
b
Let i = -2.95 - 0.05. Let o = -5 - i. Which is smaller: o or 0.4?
o
Let t = 65.7 + -66. Is -2 less than t?
True
Suppose h + 2 = 3. Let u be (-3)/2*(-1)/(-9). Which is bigger: h or u?
h
Let l = -3 + 3. Let s(j) = -j - 4. Let i be s(l). Is i at least
|
{
"pile_set_name": "DM Mathematics"
}
|
icked without replacement from {h: 1, f: 7, w: 1, s: 10}. Give prob of sequence hfw.
7/5814
Three letters picked without replacement from {u: 2, e: 1, w: 1, z: 1, r: 5}. Give prob of sequence zer.
1/144
Three letters picked without replacement from {b: 3, m: 3}. Give prob of sequence bmm.
3/20
Calculate prob of sequence eb when two letters picked without replacement from {i: 2, u: 1, b: 1, s: 1, e: 1, n: 2}.
1/56
Two letters picked without replacement from {t: 1, r: 1, v: 1, e: 1, k: 1}. What is prob of sequence ev?
1/20
Two letters picked without replacement from {b: 1, a: 1, j: 1, z: 1, h: 1}. What is prob of sequence zj?
1/20
Three letters picked without replacement from liliihiiilhlflihil. What is prob of sequence hfi?
1/204
Four letters picked without replacement from {e: 1, b: 1, n: 3, z: 1, l: 1}. Give prob of sequence nzbe.
1/280
Two letters picked without replacement from {h: 4, f: 1, w: 1, d: 2, u: 1}. What is prob of sequence ud?
1/36
What is prob of sequence uljl when four letters picked without replacement from {l: 4, u: 1, j: 5, g: 3}?
1/286
Calculate prob of sequence ij when two letters picked without replacement from {j: 4, i: 5, c: 2}.
2/11
Two letters picked without replacement from ippip. What is prob of sequence ip?
3/10
What is prob of sequence jj when two letters picked without replacement from tjttjjjjtjjt?
7/22
Two letters picked without replacement from {k: 2, b: 3, o: 2, l: 5}. Give prob of sequence bl.
5/44
What is prob of sequence jj when two letters picked without replacement from {o: 3, j: 2, z: 1, m: 2, q: 3, k: 1}?
1/66
Calculate prob of sequence rq when two letters picked without replacement from {r: 2, q: 7}.
7/36
Calculate prob of sequence gq when two letters picked without replacement from {q: 1, g: 1, y: 1, b: 2}.
1/20
Four letters picked without replacement from gwwgzwwkwkwgwk. Give prob of sequence zkwk.
1/572
Four letters picked without replacement from {h: 3, c: 1, u: 3}. Give prob of sequence uhcu.
3/140
Four letters picked without replacement from {m: 5, h: 3}. Give prob of sequence hhmm.
1/14
Three letters picked without replacement from kkktxkx. Give prob of sequence kxk.
4/35
Three letters picked without replacement from {a: 1, w: 6, k: 3, c: 1, b: 1}. Give prob of sequence kbw.
3/220
What is prob of sequence cefo when four letters picked without replacement from {x: 1, c: 1, f: 1, e: 1, o: 2, q: 2}?
1/840
Three letters picked without replacement from hesgd. What is prob of sequence ghd?
1/60
Two letters picked without replacement from {m: 1, x: 6, w: 7}. Give prob of sequence mw.
1/26
Calculate prob of sequence eq when two letters picked without replacement from {e: 1, f: 1, p: 1, q: 1, u: 1}.
1/20
Calculate prob of sequence czep when four letters picked without replacement from {e: 2, c: 3, s: 3, x: 1, p: 1, z: 2}.
1/990
Two letters picked without replacement from yyygygxyktyskyysysy. Give prob of sequence ty.
5/171
Two letters picked without replacement from ybxbhbe. What is prob of sequence ex?
1/42
Two letters picked without replacement from {c: 3, y: 2, i: 1, b: 7, l: 3, o: 1}. Give prob of sequence bo.
7/272
Three letters picked without replacement from {f: 2, q: 1, r: 2, z: 1, k: 1}. Give prob of sequence kzq.
1/210
Four letters picked without replacement from {r: 1, m: 1, a: 7, v: 8, e: 2, n: 1}. What is prob of sequence veev?
14/14535
Three letters picked without replacement from {f: 3, k: 6, u: 1, s: 5, q: 3, j: 1}. Give prob of sequence ffj.
1/969
Calculate prob of sequence yzh when three letters picked without replacement from {h: 1, y: 1, z: 1}.
1/6
Three letters picked without replacement from {f: 1, u: 1, h: 1, n: 1, c: 1}. What is prob of sequence hcf?
1/60
Calculate prob of sequence rqs when three letters picked without replacement from {s: 1, d: 1, c: 1, q: 2, r: 2, i: 1}.
1/84
What is prob of sequence jjjm when four letters picked without replacement from {y: 5, s: 1, t: 1, f: 2, m: 1, j: 3}?
1/2860
Two letters picked without replacement from {k: 1, b: 5, n: 9, s: 5}. Give prob of sequence bs.
5/76
Two letters picked without replacement from bzlbuvu. Give prob of sequence ub.
2/21
Calculate prob of sequence gggm when four letters picked without replacement from {g: 4, y: 1, m: 8, l: 5}.
2/765
Four letters picked without replacement from {s: 12, k: 1, g: 5}. What is prob of sequence ssss?
11/68
Calculate prob of sequence ehvp when four letters picked without replacement from heuvcpuvppv.
1/880
Calculate prob of sequence vuua when four letters picked without replacement from vvvua.
0
Three letters picked without replacement from {f: 8, q: 2, e: 1, m: 1, l: 3, k: 1}. Give prob of sequence fll.
1/70
Four letters picked without replacement from {t: 12, y: 1, c: 3}. What is prob of sequence tctt?
33/364
Calculate prob of sequence vmev when four letters picked without replacement from {v: 2, s: 3, e: 1, m: 4}.
1/630
Two letters picked without replacement from {t: 2, m: 6, j: 9}. Give prob of sequence jj.
9/34
Calculate prob of sequence nlnf when four letters picked without replacement from {l: 2, f: 1, z: 3, n: 4}.
1/210
Two letters picked without replacement from {m: 1, b: 1, z: 1}. Give prob of sequence bm.
1/6
Calculate prob of sequence rg when two letters picked without replacement from {w: 3, s: 2, r: 2, g: 5}.
5/66
Three letters picked without replacement from rreezrzgeezeez. Give prob of sequence zgr.
1/182
Calculate prob of sequence kk when two letters picked without replacement from bbzirkzbzrbbbi.
0
Three letters picked without replacement from {n: 13, d: 5}. Give prob of sequence nnd.
65/408
Calculate prob of sequence fxo when three letters picked without replacement from {x: 1, i: 2, t: 5, f: 3, o: 1}.
1/440
Calculate prob of sequence axj when three letters picked without replacement from {y: 4, j: 3, a: 4, x: 6, e: 2, d: 1}.
1/95
Calculate prob of sequence zp when two letters picked without replacement from pjjsz.
1/20
Calculate prob of sequence jzp when three letters picked without replacement from {w: 2, z: 1, p: 2, j: 4, l: 1}.
1/90
Calculate prob of sequence ul when two letters picked without replacement from hdhhhulyudydydll.
1/40
Calculate prob of sequence rr when two letters picked without replacement from {r: 6, x: 12}.
5/51
Two letters picked without replacement from hrhhfrbfhf. Give prob of sequence rr.
1/45
Two letters picked without replacement from {p: 5, h: 1, i: 4, q: 1, v: 1}. What is prob of sequence hi?
1/33
What is prob of sequence uuc when three letters picked without replacement from {u: 4, p: 6, c: 5}?
2/91
Calculate prob of sequence dmu when three letters picked without replacement from {u: 2, j: 1, m: 2, c: 1, d: 4}.
1/45
Two letters picked without replacement from repnpeprppreupsenss. Give prob of sequence su.
1/114
Three letters picked without replacement from {d: 1, e: 1, i: 2, a: 5}. What is prob of sequence eia?
5/252
What is prob of sequence eeg when three letters picked without replacement from seeeegstsseesees?
1/60
Four letters picked without replacement from {g: 1, j: 4, r: 1, t: 1, u: 5}. Give prob of sequence tjuj.
1/198
Two letters picked without replacement from {v: 6, u: 3, c: 1, g: 2, m: 7}. Give prob of sequence uu.
1/57
Two letters picked without replacement from tbbbbbbnbbbfbnrerrf. Give prob of sequence eb.
5/171
Four letters picked without replacement from ccwwvcvwcvvwccvcv. Give prob of sequence vccw.
3/170
Four letters picked without replacement from {f: 2, u: 6, y: 11}. What is prob of sequence yyyy?
55/646
Three letters picked without replacement from dbdbddddbddddb. Give prob of sequence ddd.
30/91
What is prob of sequence pxx when three letters picked without replacement from xxxxxxxxpppxpxpxxxxx?
35/228
Four letters picked without replacement from ggygggygygfygg. What is prob of sequence fggg?
3/143
What is prob of sequence claa when four letters picked without replacement from {c: 7, l: 7, a: 2}?
7/3120
Two letters picked without replacement from ujjujejjjujuejujju. What is prob of sequence ue?
2/51
Three letters picked without replacement from klzlzbz. Give prob of sequence llb.
1/105
Four letters picked without replacement from {u: 1, f: 1, y: 4, t: 3, v: 7}. Give prob of sequence futy.
1/3640
Calculate prob of se
|
{
"pile_set_name": "DM Mathematics"
}
|
divided by 32?
26
Calculate the remainder when 7988 is divided by 1128.
92
What is the remainder when 15902 is divided by 274?
10
Calculate the remainder when 49896 is divided by 1612.
1536
What is the remainder when 39546 is divided by 24?
18
What is the remainder when 17636 is divided by 44?
36
What is the remainder when 12597 is divided by 12591?
6
Calculate the remainder when 754 is divided by 17.
6
What is the remainder when 883 is divided by 78?
25
Calculate the remainder when 15398 is divided by 405.
8
Calculate the remainder when 255489 is divided by 119.
115
Calculate the remainder when 1395 is divided by 843.
552
Calculate the remainder when 2525 is divided by 1517.
1008
Calculate the remainder when 15897 is divided by 25.
22
Calculate the remainder when 21432 is divided by 126.
12
Calculate the remainder when 25715 is divided by 45.
20
What is the remainder when 2393 is divided by 93?
68
Calculate the remainder when 10333 is divided by 1432.
309
Calculate the remainder when 51677 is divided by 49.
31
Calculate the remainder when 3732 is divided by 232.
20
What is the remainder when 272075 is divided by 79?
78
What is the remainder when 43929 is divided by 4?
1
Calculate the remainder when 5488 is divided by 2739.
10
Calculate the remainder when 6901 is divided by 3085.
731
What is the remainder when 13581 is divided by 421?
109
Calculate the remainder when 12648 is divided by 3162.
0
Calculate the remainder when 698258 is divided by 6.
2
What is the remainder when 378820 is divided by 15?
10
Calculate the remainder when 19927 is divided by 3873.
562
What is the remainder when 15146 is divided by 106?
94
Calculate the remainder when 450207 is divided by 12.
3
Calculate the remainder when 8933 is divided by 63.
50
Calculate the remainder when 195875 is divided by 12.
11
What is the remainder when 1485 is divided by 529?
427
Calculate the remainder when 11291 is divided by 3754.
29
What is the remainder when 15666 is divided by 263?
149
What is the remainder when 234330 is divided by 133?
117
What is the remainder when 156330 is divided by 39082?
2
Calculate the remainder when 16230 is divided by 8080.
70
Calculate the remainder when 7892 is divided by 1117.
73
Calculate the remainder when 30173 is divided by 228.
77
What is the remainder when 2890 is divided by 593?
518
What is the remainder when 37528 is divided by 391?
383
What is the remainder when 107022 is divided by 58?
12
What is the remainder when 1144 is divided by 16?
8
Calculate the remainder when 14379 is divided by 77.
57
What is the remainder when 23972 is divided by 7?
4
Calculate the remainder when 371894 is divided by 426.
422
Calculate the remainder when 9583 is divided by 290.
13
What is the remainder when 9108 is divided by 120?
108
What is the remainder when 12546 is divided by 6238?
70
Calculate the remainder when 9666 is divided by 3210.
36
What is the remainder when 37753 is divided by 75?
28
What is the remainder when 9566 is divided by 4780?
6
Calculate the remainder when 145286 is divided by 245.
1
Calculate the remainder when 379 is divided by 127.
125
Calculate the remainder when 3772 is divided by 1876.
20
What is the remainder when 25786 is divided by 48?
10
What is the remainder when 28566 is divided by 441?
342
Calculate the remainder when 1575131 is divided by 6.
5
What is the remainder when 109006 is divided by 35?
16
Calculate the remainder when 24509 is divided by 8.
5
Calculate the remainder when 2520 is divided by 316.
308
Calculate the remainder when 82063 is divided by 97.
1
What is the remainder when 10733 is divided by 1006?
673
Calculate the remainder when 27807 is divided by 36.
15
What is the remainder when 247143 is divided by 9?
3
Calculate the remainder when 10750 is divided by 51.
40
Calculate the remainder when 5182 is divided by 402.
358
What is the remainder when 53675 is divided by 31?
14
Calculate the remainder when 10906 is divided by 234.
142
Calculate the remainder when 4126 is divided by 822.
16
Calculate the remainder when 93058 is divided by 74.
40
Calculate the remainder when 47000 is divided by 120.
80
Calculate the remainder when 536637 is divided by 416.
413
Calculate the remainder when 76944 is divided by 11.
10
Calculate the remainder when 371066 is divided by 729.
5
Calculate the remainder when 332291 is divided by 1288.
1275
What is the remainder when 326135 is divided by 60?
35
Calculate the remainder when 4725457 is divided by 681.
679
Calculate the remainder when 472973 is divided by 5.
3
Calculate the remainder when 3781 is divided by 404.
145
Calculate the remainder when 9477 is divided by 360.
117
Calculate the remainder when 2331 is divided by 1450.
881
What is the remainder when 539499 is divided by 325?
324
What is the remainder when 9482 is divided by 1417?
980
Calculate the remainder when 12159 is divided by 69.
15
Calculate the remainder when 1200 is divided by 225.
75
What is the remainder when 645654 is divided by 638?
636
What is the remainder when 31615 is divided by 207?
151
What is the remainder when 14332 is divided by 3568?
60
Calculate the remainder when 1074 is divided by 65.
34
Calculate the remainder when 165597 is divided by 36.
33
Calculate the remainder when 28122 is divided by 56.
10
What is the remainder when 739 is divided by 30?
19
What is the remainder when 386 is divided by 27?
8
What is the remainder when 1517 is divided by 12?
5
Calculate the remainder when 18513 is divided by 2000.
513
What is the remainder when 14332 is divided by 2859?
37
What is the remainder when 30162 is divided by 471?
18
What is the remainder when 10487 is divided by 1164?
11
Calculate the remainder when 48253 is divided by 208.
205
Calculate the remainder when 2921 is divided by 931.
128
What is the remainder when 14230 is divided by 2826?
100
Calculate the remainder when 11125 is divided by 2190.
175
What is the remainder when 13645 is divided by 371?
289
Calculate the remainder when 20041 is divided by 211.
207
What is the remainder when 1968 is divided by 593?
189
What is the remainder when 602667 is divided by 84?
51
What is the remainder when 230188 is divided by 76726?
10
Calculate the remainder when 601 is divided by 108.
61
Calculate the remainder when 321599 is divided by 200.
199
Calculate the remainder when 713 is divided by 100.
13
What is the remainder when 44813 is divided by 5600?
13
Calculate the remainder when 114533 is divided by 409.
13
Calculate the remainder when 296927 is divided by 83.
36
Calculate the remainder when 8830 is divided by 586.
40
Calculate the remainder when 16798 is divided by 886.
850
What is the remainder when 12186 is divided by 127?
121
Calculate the remainder when 402 is divided by 366.
36
Calculate the remainder when 197842 is divided by 183.
19
Calculate the remainder when 14057 is divided by 265.
12
What is the remainder when 22723 is divided by 92?
91
Calculate the remainder when 334687 is divided by 16.
15
Calculate the remainder when 60778 is divided by 62.
18
Calculate the remainder when 1880 is divided by 148.
104
What is the remainder when 2851 is divided by 23?
22
Calculate the remainder when 117324 is divided by 19.
18
Calculate the remainder when 9089 is divided by 1298.
3
Calculate the remainder when 11442 is divided by 1798.
654
What is the remainder when 11306 is divided by 180?
146
What is the remainder when 2105 is divided by 301?
299
What is the remainder when 7945 is divided by 441?
7
What is the remainder when 38972 is divided by 6462?
200
What is the remainder when 11675 is divided by 10875?
800
What is the remainder when 12481 is divided by 430?
11
What is the remainder when 3304 is divided by 162?
64
Calculate the remainder when 35134 is divided by 439.
14
What is the remainder when 161932 is divided by 88?
12
Calculate the remainder when 40843 is divided by 35.
33
What is the remainder when 43425 is divided by 579?
0
What is the remainder when 1194 is divided by 399?
396
Calculate the remainder when 2266 is divided by 78.
4
Calculate the remainder when 27728 is divided by 483.
197
What is the remainder when 5155 is divided by 5106?
49
Calculate the remainder when 4368 is divided by 217.
28
Calculate the remainder when 19323 is divided
|
{
"pile_set_name": "DM Mathematics"
}
|
**3 + 18. Let m be f(0). Let t = -2463 + 2475. Let x = m - t. Give h(x).
8
Let r(d) = d**3 - 29*d**2 + 121*d - 3516. Let p be r(29). Let n(s) = -s**3 - 7*s**2 - 5*s - 4. Calculate n(p).
31
Let q(l) = -6*l**2. Let b be ((-3)/2)/(3/(-8)*2). Give q(b).
-24
Let j(k) = -2*k**2 + 137*k - 322. Let z be j(66). Let u(o) = o**2 - 7*o - 3. Give u(z).
5
Let k(j) = -j**3 - 5*j**2 - 3*j - 19. Suppose 12 = 10*a - 14*a, -2*i + 5*a = -5. Calculate k(i).
-4
Let j(p) = -p**2 + 7*p - 26. Let l be j(4). Let f be l/4*(-60)/105. Let b(d) = 3*d - 3 - 3 - d**2 + 3. What is b(f)?
-1
Let v(l) = 10*l + 495 + 502 + 500 - 2001 + 491. Give v(3).
17
Suppose -3*b = -5*y + 6, -21*y - 4*b = -26*y + 3. Let o(f) = -7*f - 7. What is o(y)?
-28
Let v = 31 + -26. Let t be 1/(9/30)*(11 - v). Let r be (t/4 + -7)/((-3)/(-6)). Let l(y) = 2*y**2 + 5*y - 1. Determine l(r).
11
Suppose -2*t + 57 = 5*o, -14*o - 90 = -4*t - 16*o. Suppose -3*k - 2*u + 13 = 0, -23*u + t*u - 36 = -4*k. Let v(g) = g - 6. Determine v(k).
1
Let n = -498 - -502. Let o(l) = 5*l - 21*l + 14*l + n*l. Let y(v) = -3*v - 1. Let r be y(-2). What is o(r)?
10
Let u(q) = q**2 - 37*q + 208. Let t be ((-3)/(-12))/(81/108)*39 + -4. Calculate u(t).
-44
Let y(x) = -x**2 + 5*x - 1. Let j be 1*-37 - (-7 - -6). Let n = j - -40. Give y(n).
3
Let q(m) = -9*m - 184. Let r(w) = -20*w - 412. Let h(a) = 9*q(a) - 4*r(a). Let k(v) = v - 5. Let z be k(5). Determine h(z).
-8
Let r(m) = m - 3. Suppose 3*z + b - 29 = 0, 17 = 3*z + 10*b - 15*b. Suppose -4*q - 21 + z = 0. Determine r(q).
-6
Let z(k) = k**3 - 9*k**2 + 7*k + 5. Suppose 0 = 10*p - 3*p - 28. Let s be p - -8*1*(-2)/(-4). Calculate z(s).
-3
Suppose 4*t - 254 = 3*y, 5 = -3*y - 3*t - 214. Let d = y - -133. Let w(z) = -10 - 57*z + d*z + 9. What is w(6)?
-13
Let n(g) be the third derivative of g**5/30 - 23*g**4/8 - 4*g**3 + 107*g**2. Let i be n(35). Let w(d) = -3*d + 33. Determine w(i).
0
Let o(s) = -11*s + 576. Let h be o(53). Let n(p) be the third derivative of p**6/120 + p**5/10 - p**4/3 + p**3/6 - 11*p**2. What is n(h)?
8
Let p(g) be the first derivative of 9*g**2/2 + 50*g + 179. Determine p(-8).
-22
Let p(o) = -25*o**2 - 224*o - 11. Let j(i) = -8*i**2 - 64*i - 3. Let n(z) = 7*j(z) - 2*p(z). Give n(-1).
-5
Let n(b) = -8*b - 68. Let y(v) = -14*v**3 - 126*v**2 + v - 4. Let d be y(-9). What is n(d)?
36
Let v(o) = 3*o + 2. Let w be v(0). Suppose -5*f - w + 7 = 0. Let c be f - (-4)/(4/(-2)). Let n(b) = 7*b**3 - 2*b - 1. Determine n(c).
-6
Let w be (-26 - -19)*(-12)/(-14). Let m be (-1 - w/2)/(14/(-28)). Let f(p) = p**3 + 2 + 5*p + p**2 - p + 3*p**2. What is f(m)?
-14
Suppose 3*y - 2*y = -4*g + 14, 5*g + y = 17. Suppose 4 = g*q - 14. Let b(s) be the first derivative of -s**4/4 + 2*s**3 - 3*s**2/2 + 4*s - 1. Give b(q).
-14
Let w be -20 + 38 + -23 + 2. Let a(h) = -h**2 + h - 8. Let j(o) = o - 7. Let c(s) = -4*a(s) + 5*j(s). What is c(w)?
30
Let s(a) = 2. Let g be -4 + 2 + -3 + 4. Let l(k) = -k**2 + 13*k - 4. Let z(b) = g*l(b) + 2*s(b). Calculate z(11).
-14
Let k(c) = -2*c**2 - 16*c + 3. Suppose 2*d + 65 = f + 52, -2*f + 34 = -5*d. Determine k(d).
3
Let s(n) = -n**2 + 4*n. Let b(k) = 3*k**2 - 12*k + 1. Let f be ((-567)/54)/((-3)/2). Let y(c) = f*s(c) + 2*b(c). Let l be 13 - 9 - (-1 - 0)*-1. What is y(l)?
5
Let t(q) be the third derivative of 11*q**4/24 + q**3/2 + 112*q**2 + 8*q. Give t(3).
36
Suppose 0 = -2*h + 18*h - 48080. Let d(k) = -h*k**3 + 17 + 3004*k**3 + 2*k - k. What is d(0)?
17
Suppose 253 = 49*b + 253. Let q(o) = o**2 + 3*o + 59. What is q(b)?
59
Let x(u) = 15*u**2 - 31*u + 164. Let l(h) = -2*h**2 - 4. Let k(s) = -7*l(s) - x(s). Calculate k(26).
-6
Let h = 67 + -49. Let r(s) = 1 + 42 - h - 3*s. What is r(10)?
-5
Let n be -6*1/21 - 900/(-14). Let u = -51 + n. Let y = u - 8. Let k(d) = -d**2 + 6*d - 2. Determine k(y).
3
Let j(p) = p**3 + p**2 + 5*p. Suppose 2*u + 13*g - 85 = 0, 23*u - 27*u - 2*g = -2. Give j(u).
-33
Let n = 99 + -76. Let z(i) = 22 - 37 + n + 8*i + i**2. What is z(-6)?
-4
Let w(r) = 5*r + 10 + 0 + 2*r - 32. Let v(b) = 3*b - 11. Let a be (-440)/(-50) + 2/10. Let u(q) = a*v(q) - 4*w(q). Give u(-7).
-4
Let b(p) = 19*p - 61. Let r(k) = -47*k + 1649. Let y be r(35). Calculate b(y).
15
Suppose -g = 2*g + 9. Let y(b) be the first derivative of -b**5/60 - b**4/12 - b**3/2 - 95*b**2/2 - 20. Let u(r) be the second derivative of y(r). What is u(g)?
-6
Let g(w) be the third derivative of -w**8/10080 - w**7/720 - w**6/180 - 61*w**5/30 - 67*w**2. Let a(t) be the third derivative of g(t). Determine a(-4).
-8
Let s(w) = 2*w**2 + 123*w + 241. Let q be s(-2). Let c(v) = 4 - 4 - 5 + 6 - 11*v. Determine c(q).
-32
Let i(o) = -53*o - 2 - 59*o - 54*o + 3*o**2 - 5*o**2 + 185*o. What is i(7)?
33
Suppose -4*y + a + 10 = 4*a, 0 = y + 3*a + 2. Let z(m) = -6*m**2 + 6*m - y + 1 + 3*m**2. Give z(2).
-3
Let t(b) = 3*b + 1. Let m(z) = z + 1. Let k be 228/(-38)*(0 - (-2)/(-3)). Let n(x) = k*m(x) - 2*t(x). Determine n(3).
-4
Suppose -2*r - 10 = 5*t, -2*t + 20*r - 15*r - 4 = 0. Let w(k) = -2*k**3 - 4*k**2 + 7. Determine w(t).
7
Let w(z) = -5*z**3 + 4*z**2 - 3*z - 32. Let p(i) = -6*i**3 + 4*i**2 - 4*i - 41. Let t(o) = -4*p(o) + 5*w(o). Let s be (-3 - 0)*8/(-6). Give t(s).
8
Let q(r) = 102*r + 173. Let p(k) = -52*k - 96. Let w(s) = 9*p(s) + 5*q(s). Suppose -2 + 5 = 3*d. Determine w(d).
43
Suppose 72 + 78 - 138 = -4*b. Let p(t) = 62*t + 183. What is p(b)?
-3
Suppose 3*a = -93 + 117. Let t(p) = 8*p**2 - p**3 + p + 6*p + 1 - 10*p. What is t(a)?
-23
Let k(t) = -5*t + 5. Suppose 0 = -o + 6 - 3. Suppose j = -2*q + 9, -o*j + 17 = -3*q + 4*q. Suppose -5*d + 3*i = -29, i + 22 = j*d - 1. What is k(d)?
-15
Let h = 160 + -162. Let i = 37 + -34. Let y(t) = -2 - 3*t**2 - 3*t - 6*t**2 + i*t**2. Give y(h).
-20
Let t be 390/(-429) - 486/(-99). Let b(s) = 3 + 5 - 2*s - 1. Determine b(t).
-1
Let d(n) = -n**3 + 2*n**2 + n + 3. Suppose 6*y - y = 25. Suppose 2*x + 3*x = y. Let u(f) = 2*f**3 + f**2 + f - 1. Let a be u(x). Give d(a).
-3
Suppose 8*s - 8 - 1440 = 0. Let r = s + -172. Let g(o) = -o**3 + 9*o**2 - 2*o + 7. What is g(r)?
-11
Let u(f) = f + 1. Let s be -11 - ((-4)/18 - 25/9). Let w be s/(-20) - (-222)/(-30). Calculate u(w).
-6
Let y(x) = -13*x**2 - 17 - 16 + 32. Let v be (-165)/55 - (-6 - -2). Calculate y(v).
-14
Let o(r) = -51*r**2 + 27*r - 51. Let w be o(2). Let z = 202 + w. Let a(h) = 31*h**3 - 2*h**2 + 2*h - 1. Determine a(z).
30
Let w(j) = j**2 + 57*j - 1069. Let o be w(-72). Let h(c) = -c**2 + 2*c + 72. Give h(o).
-27
Let h(d) = 6736 - 6*d + 4*d**2 + 4*d - 3420 - 3393. Give h(5).
13
Let z(i) = -2*i + 10*i - 85 + 45 + 42 + 5*i. What is z(2)?
28
Suppose -5*t + 55 = 5*p, -19 = t - 8*p + 3*p. Let l(b) = 16*b**2 - 1 - 25*b**2 - 2*b + 10*b**2. Determine l(t).
23
Let c be ((-1 + 5/(-10))*10)/(-3). Let w(n) = -16*n + 84. Calculate w(c).
4
Let w(l) = -22*l + 63*l**3 - 43*l - 142*l**3 + 18*l**2 + 1 + 78*l**3. What is w(5)?
1
Let j(z) be the second derivative of z**3/3 + z**2/2 + 4*z + 18. Suppose -2*q + 28 = 5*u, -2*u + u - q = -5. Let r be (8 - 7)/((-2)/u). Calculate j(r).
-5
Let z(u) = 6*u**3 - 4*u**2 - 5*u - 5. Let f(w) = 4*w**3 - 5*w**3 - 2*w**2 + 2*w**2 + w + w**2. Let o(n) = 5*f(n) + z(n). Suppose p - 4*p = 0. Give o(p).
-5
Let q be (-20)/45*(-2 + -16). Let j(h) = -h**3 + 6*h**2 + 15*h - 10. Give j(q).
-18
Let c(u) = -u**3 - 10*u**2 + 10*u - 11. Let m = 290 - 288. Suppose 4*b + 0 = x - 41, m*b - 5*x = -7. Determine c(b).
0
Let s(l) = -6 - 16650*l - 3*l**2 + 16654*l + 2*l**2. What is s(0)?
-6
Suppose -3*w - 3*k = -84, 34 = -4*w + 5*w + 4*k. Let d(s) = w - 79 + 25 + 26 - s. Determine d(8).
-10
Let u be ((-27)/(-2))/((-7 - -11)*(-8)/(-64)). Let j(d) = d**2 - 23*d - 74. Calculate j(u).
34
Let u(o) be the third derivative of o**4/8 - 5*o**3/2 + 3596*o**2. What is u(10)?
15
Let z be (-17 + 20)/(12/16). Let f(a) = 17*a**3 + 0*a - z*a - 2 + 14*a**3 - 30*a**3. Determine f(-3).
-17
Let i(v) = 23 + 16 - 2*v + 23 - 29 + 3*v. Give i(-39).
-6
Suppose 2*u = 229*f - 234*f - 37, 3*u = f - 47. Let x(k) = k + 1. Let m(p) = p - 13. Let y(o) = m(o) - 2*x(o). What is y(u)?
1
Let s be 350/(-60) + 6 + (-11)/(-6). Let j = 168 - 96. Let r(n) = n**3 + j*n**2 - 78*n**s - 6 + 7*n - 4*n. Determine r(5).
-16
Suppose 49*f + 146 = -103 + 4. Suppose 0*p + p - w = 0, 0 = -5*p + 4*w + 2. Let d(m) = m**3 + m**2 - 7 + 4*m**p + 0. Determine d(f).
-7
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
= -5*x - 75. Solve -33 = -x*t - 53 for t.
-5
Let l be (-1)/2*0*7/21. Solve -4 = -r - l*r for r.
4
Let f(a) = 5*a + 6. Let m be f(5). Suppose m*y - 33*y = 0. Solve y*h + 1 = h for h.
1
Suppose 0 = -4*c - 0*c - 16. Let w = c + 6. Suppose -2*t + t + 3*a = -18, -3*t - 4*a = -w. Solve 0 = -3*d + d - t for d.
-3
Suppose 0 = -20*a + 31*a - 2178. Solve -5*l = -193 + a for l.
-1
Let i(w) = 3*w**2 - w - 1. Let p be i(2). Suppose p*g = 5*g. Suppose g = f + 8 - 10. Solve -2*l + 12 = f*l for l.
3
Let v = 0 + 17. Let y = -12 + v. Suppose -5*l - 2 = -4*u + 14, -y*u + 20 = 5*l. Solve 0*m + u*m = -4 for m.
-1
Suppose -10*y + 9*y + 12 = 0. Suppose -13*h + 10*h = -y. Let w be (h/3)/((-17)/(-51)). Solve -5*b + b = w for b.
-1
Let r(x) = x + 10. Let g = -4 - 2. Let s be r(g). Solve t - 20 = -s*t for t.
4
Let l(m) = 5 + 5 - 3. Let d(z) = z + 1. Let h(s) = d(s) + l(s). Let a be h(-6). Solve -a*f + 7 + 1 = 0 for f.
4
Let c(z) = z + 13. Let n be -4*(2*-4)/(-4). Let y be c(n). Suppose 4*h - 3 = y. Solve h*f + 15 = -3*f for f.
-3
Let k(v) = -v - 4. Let j be k(-15). Solve 13*w - 2 = j for w.
1
Let m = 26 - 21. Let q be (-3 - -4) + -2 + 2. Let l be (-2 - -5) + -1*q. Solve -y + l = m for y.
-3
Let i(m) = m + 21. Let u be i(-14). Let d(x) = 3*x - 5. Let v be d(u). Let y be (84/(-10))/(v/(-40)). Solve -y = 4*h - 5 for h.
-4
Let z(w) be the second derivative of w**5/20 + 7*w**4/6 + w**3/3 + 33*w**2/2 + 26*w. Let i be z(-14). Suppose 3 = 4*a - 5. Solve -3*f - a*f = i for f.
-1
Let d = -197 + 139. Let n = d - -58. Solve 3*b = -n*b + 6 for b.
2
Let g be 11 - (5/(-5) - -7). Solve -4*b - g = b for b.
-1
Suppose 0 = 7*i - i + 48. Let q(f) = f**2 + 6*f - 14. Let s be q(i). Solve s*u = -6 - 2 for u.
-4
Let i(a) = 5*a**2 + 20*a + 33. Let f(u) = u**2 + 3 + 3*u + 5 + 2*u. Let v(r) = 9*f(r) - 2*i(r). Let g be v(6). Solve 2*m + 3*m + 20 = g for m.
-4
Let u = 137 - 131. Solve h - u = -2 for h.
4
Let w be (-56 - 8)/(-4) + -7. Solve -w*c + 4*c = -10 for c.
2
Let z be 8/(-6) - 132/(-18). Let t be 9/(9/(-4)) + z. Solve 0 = 6*n - t*n - 12 for n.
3
Suppose -2*k = 2*v + 22, -4*v + 37 = -5*k - 0. Let r(a) = -a**3 - 8*a**2 + 10*a + 11. Let q be r(k). Solve 3 = -q*f + 1 for f.
-1
Suppose 9 = j - x + 3, -20 = -4*j + 2*x. Solve j*g - g - 15 = 0 for g.
5
Let s = 356 + -301. Solve s*v - 53*v = 4 for v.
2
Let l be 7 - -12 - 1/((-1)/2). Suppose -2*m + l = 5. Solve 5*b + m = 23 for b.
3
Let s(r) = -3*r**3 + 2*r**2 + 6*r + 5. Let z be s(-1). Suppose 60 = -2*u + 7*u. Solve z*d = 4 - u for d.
-2
Suppose -11*t + 9*t = -332. Suppose -t = -3*z - 139. Solve -2*o = 5 - z for o.
2
Let a = 2 + 12. Let c = a - 24. Let h be (-46)/c - (-6)/15. Solve -h*n - 5 = -0*n for n.
-1
Let y = 47 + -66. Let k = y + 29. Solve -k = 2*z - 4*z for z.
5
Let y be 105/4 - (-30)/40. Solve -17*f = -y*f for f.
0
Suppose -t - 4*y + 3*y = -16, 3*y + 12 = t. Solve -t*i + 12 = -11*i for i.
3
Suppose 2*d + 16 = a, -6*a + d - 7 = -8*a. Solve 9*j = a*j for j.
0
Let m(j) = j + 5. Let o be m(7). Suppose -i = 2 - 7. Suppose n - 6 = -i*f + 4, -f = -4*n - 2. Solve x + o = -f*x for x.
-4
Let l(m) = -18*m**2 + 77*m - 17. Let x be l(4). Solve 2*c = 3*c - x for c.
3
Let c be (-5)/(5/(-22)) - 0. Suppose 3*o - c + 7 = 0. Let z = 7 - o. Solve -4*g = -z*g for g.
0
Let o(y) = y**2 - 3*y - 2. Let k be o(4). Suppose k*p + p - 15 = 0. Suppose p*c - 4*c = 0. Solve 4*g + 9 + 3 = c for g.
-3
Suppose -6*u + 7 + 83 = 0. Solve 0 = -u*f + 10*f for f.
0
Suppose -3*w = -4*r - 6*w + 85, 4*w = 4*r - 92. Suppose r = 4*g + 10. Solve 6*y - g*y = -3 for y.
-1
Let y = 359 + -334. Solve -k = -6*k - y for k.
-5
Suppose -6 = -x - 3. Suppose -x*r + 44 = -b, -r - 5*b + 3 = 15. Solve 3*l - r = -1 for l.
4
Let z = 73 - 69. Solve 0 = 9*l - z*l - 5 for l.
1
Suppose -11*x - 146 = 635. Let z = x + 74. Solve -z*p = -7*p for p.
0
Let z = -99 - -99. Solve z = -0*w - 3*w for w.
0
Suppose -3*w = 14 - 5. Let v(t) = 8*t + 24. Let s be v(w). Solve 0*h - h - 3 = s for h.
-3
Let x be (0 - 60/16)/(6/(-16)). Let j be x/(-40) + (-2)/(-8). Solve j*l = l - 5 for l.
5
Suppose 4 = -3*y + 13. Suppose 3*c - 18 = -3*w, -3*w + 0*c = -4*c + y. Solve w*i + 0*i = 3 for i.
1
Suppose -15 = 2*w - 7*w. Suppose w*i + i - 16 = 0. Solve 2*x - i = 4*x for x.
-2
Let f = -322 - -35. Let n be -3 + (f/(-21) - 2/3). Solve 10*m - n = 5*m for m.
2
Let j = 33 + -33. Suppose -s + 4*x + 12 = 0, 2*x + 2*x + 12 = j. Solve s + 4 = 4*o for o.
1
Let k(l) be the third derivative of -l**4/24 + 13*l**3/6 + 11*l**2. Let d be k(10). Solve 2 = -5*q + d*q for q.
-1
Suppose -12 = -2*z - 2*b, -3*b = 5*z - 5*b - 44. Suppose 5*p - 9*d - 9 = -10*d, 4*d + 6 = p. Solve z = -6*y + p*y for y.
-2
Let g(a) = a**2 + 7*a + 8. Let i be g(-6). Suppose -i*v = -v - 8. Suppose -k = -5*k, 0 = -4*o + 2*k + v. Solve 6*z = o*z for z.
0
Suppose f + 3*h - 6*h + 40 = 0, -5*f - 170 = -5*h. Let x = -29 - f. Solve -3*j + 1 = -x for j.
1
Let h(y) = 2*y**3 - 3*y**2 - 5*y - 4. Let z be h(3). Solve 4 + z = -4*o for o.
-3
Let p be 0 - (-2)/(2 - 0). Let z = p - 1. Let b(t) = 9*t**3 - t**2 - t + 1. Let k be b(1). Solve -o - o - k = z for o.
-4
Let w be (2 + -4 - -2)/(-2). Let n = w - -6. Let j = 451 - 447. Solve -n = y - j for y.
-2
Let f = -3 - -4. Suppose -5*a - 3*q = 0, 10*q + 20 = 6*q. Solve f = -2*n - a for n.
-2
Suppose 2*h - 6*h + 112 = 0. Let b be h/21*6/8. Solve -3 = -w + b for w.
4
Suppose 16*l + 5*l = 273. Solve 12*c - l*c + 3 = 0 for c.
3
Let m = 1412 + -1398. Solve -5 = m*t - 19 for t.
1
Let g = 13 + -6. Suppose 0 = 3*h + 2*h - 5*m - 35, -2*m + g = 5*h. Suppose q = -2*q + 24. Solve q*x = h*x for x.
0
Suppose 0 = 215*s - 225*s + 1020. Solve 97 = -5*b + s for b.
1
Let r(a) = a**3 - 2*a**2 + a + 13. Let t(i) = -3*i**3 + 7*i**2 - 2*i - 39. Let d(x) = 11*r(x) + 4*t(x). Let j be d(6). Solve -z - j = -2*z for z.
5
Let a(p) = 61*p - 7. Let n(h) = 31*h - 3. Let m(y) = 2*a(y) - 5*n(y). Let k be m(-1). Let j be (k/6)/(1/3). Solve j = -4*d + 1 for d.
-4
Let n(j) be the third derivative of -j**6/120 - j**5/15 + 5*j**4/24 - 5*j**3/3 + 7*j**2. Let s be n(-5). Let i be s/((-6 - 0)/3). Solve y - 16 = i*y for y.
-4
Let t be 16/(-48) + (-62)/(-6). Let k be t/(-3)*(-9)/3. Let i be ((-1)/(-2))/((-13)/(-156)). Solve -i*y + k = -y for y.
2
Let g(v) = -2*v**3 - 5*v**2 - 3*v + 3. Let k be g(-2). Suppose -45 = -c - 3*c - k*l, 35 = 2*c + 5*l. Solve -c*w + 8 = -3*w for w.
4
Suppose -4*w = -4*m + 12, -7*w + 12 = -4*w + 4*m. Solve w = 6*b - b - 25 for b.
5
Let s = 1 + -1. Suppose -7 = 2*g + 1, 2*v - g = 22. Let w = v + -7. Solve w*u + 6 + s = 0 for u.
-3
Let k(g) = 9 - 8 - 4 - 6*g. Let z be k(-2). Suppose 3*x - f = 4, 2*x + 9 - 1 = -2*f. Solve 3*i - z + 0 = x for i.
3
Suppose 13 = 5*q - 42. Let d = 70 - 64. Let o be (-6)/(-4) - ((-21)/d + 0). Solve o*y + q = -4 for y.
-3
Let x = 10 - -8. Let o = x - 12. Let j = -909 - -911. Solve -o*c = -j*c for c.
0
Let j be 1 + 28 + (-3)/3 + -3. Solve 0*b + 5*b = -j for b.
-5
Suppose 4 = -x - 3*k, 2*x + 4*k + 0 = -2. Suppose -3*f - f + 2*t = -6, 2*f - 6 = 4*t. Solve -f + x = -w for w.
-4
Let k be (56/(-21))/(44/(-99)). Solve -9*l - 12 = -k*l for l.
-4
Suppose b = 7 + 4. Suppose 4*m + n + b = -9, 0 = -3*m + n - 22. Let t = m + 10. Solve -t*p = -p - 6 for p.
2
Let r(q) = -q**2 + 4*q + 1. Let z be r(4). Let n be (-4)/14 - z*232/(-28). Solve 0 = m + m - n for m.
4
Let r(p) = -5*p**3 - 8*p**2 - 6*p. Let m be r(-1). Solve 11*c - m*c + 40 = 0 for c.
-5
Suppose -2 = 3*o + 4. Let r be 34/o*(4 - 5). Let y = -15 + r. Solve -y*j + j = 0 for j.
0
Suppose 6*y = -5*y + 6*y. Solve -2*r - r - 12 = y for r.
-4
Suppose -4*f - 4*r - 2 = 2, 0 = -f + 2*r + 11. Let x be 4/2 - (-845 + 0/(-1)). Let d be (-11)/(x/(-14)) - (-31)/11. Solve -d*h + 0 = -f for h.
1
Let i(h) = 4*h**2 + 9*h - 4. Let m be i(-3). Solve 2*j + 8*j = m*j for j.
0
Let s(h) = 19*h + 6. Let b be s(-1). Let n be (11 + b)/(2/(-4)). Solve 0 = 2*d - n*d + 6 for d.
3
Let o = -912 - -976. Solve o*k - 50*k = 42 for k.
3
Let o = 219 + -209. Solve -9*v + 5 = -o*v for v.
-5
Let y(n) = n**3 + 64*n**2 + 128*n + 266. Let m be y(-62). Solve 0 = 3*v + 3*v + m for v.
-3
Let q be 71/2 + 3/6. Let p be q/(-18) + 1 + 10. Solve 11 + p = -4*z for z.
-5
Suppose 28*h - 5*g = 23*h + 155, -5*g = -2*h + 53. Solve -39 = -m - h for m.
5
Let b(o) = -o**3 + 9*o**2 - 24*o + 70. Let d be b(7). Solve -5*f - 9 + 4 = d for f.
-1
Let r = 74 - 70.
|
{
"pile_set_name": "DM Mathematics"
}
|
= -1 + 5. Let k = x - 4.2. Let y = k + 0.4. Which is the smallest value? (a) 5 (b) -4 (c) y
b
Let p = 52.7 - 53. Let u = 1 + -0.9. What is the biggest value in u, p, 0?
u
Let v = -0.6 + 1. Let t = 662.97 - 660. Let b = t + 0.03. What is the smallest value in v, b, 0.3?
0.3
Let w = -4 + 2. Let v = w - -0.4. Let u = v + 2. What is the third biggest value in u, -0.5, -2/7?
-0.5
Let j = 0.4 - 0.3. Let f = -0.3 + j. Let p = 1/18 + -41/90. What is the biggest value in -1/3, p, f?
f
Suppose -g + 6 - 2 = 0, 3*q - 20 = -5*g. Which is the second biggest value? (a) -3 (b) q (c) -6
a
Let f = 0.7 + 1.3. Which is the smallest value? (a) f (b) -5 (c) 3 (d) -0.1
b
Let g = -0.09 - 1.91. Let y = -4 - -3.9. Let i = -0.4 - -0.2. Which is the second smallest value? (a) i (b) y (c) g
a
Suppose 2*y - 10 - 2 = 0. Let s(v) = -v**3 + 7*v**2 - 6*v + 5. Let j be s(y). What is the third smallest value in -5/4, -2, j?
j
Let d = -0.15 + 0.45. What is the biggest value in d, -9, -1?
d
Let n = 0.06 + -0.36. Let f = n + 0.4. Let u = f + -0.3. What is the smallest value in 0.1, u, -2/17?
u
Let p = -5 + 6. Let k = 14 - 18. Which is the third biggest value? (a) k (b) p (c) -5
c
Let f = 0.02 - 0.01. Let w = 2.01 - f. What is the smallest value in 1, 0.3, w?
0.3
Let h = -977/5 + 196. Let l = -0.0587 - 0.0413. Which is the second smallest value? (a) h (b) 0.3 (c) l
b
Let k = -0.04 + -3.96. Let b be ((-9)/(-6))/((-3)/(-16)). Suppose -b = -6*f + 4*f. What is the biggest value in -2/11, f, k?
f
Let p be ((-6)/(-60))/((-1)/(-6) - 0). Let u = 0.2 + 0.3. Which is the biggest value? (a) p (b) -4 (c) u
a
Let y = -13.07 - -13. Let s = y + 0.18. Let n = -3.89 - s. What is the third smallest value in 5, -1, n?
5
Let w = 5.11 - -0.59. Let q = w - 6. Which is the second smallest value? (a) 0.4 (b) q (c) -4
b
Let q = -617/4 - -155. Which is the second smallest value? (a) q (b) 1 (c) 6
b
Let h = 94 + -91. What is the second biggest value in 0.3, 25, h?
h
Let j = 1.2 + -1.5. What is the biggest value in -3, -7, j?
j
Let s = 0.04 + -0.24. Let f = 94 + -472/5. Which is the biggest value? (a) s (b) f (c) -5/3
a
Suppose 2*x = 5*x - 3, 5*r - 5*x + 5 = 0. Suppose 5*m + 0*m + 50 = r. Let p = m + 9. Which is the biggest value? (a) 5 (b) 1/3 (c) p
a
Let l = 42.946 - 43. Which is the third smallest value? (a) l (b) -3 (c) -4/3
a
Let d = -3 - -4. Let l = -0.3 - -0.4. What is the third smallest value in -0.5, d, l?
d
Suppose -45 + 5 = 5*z. What is the biggest value in z, 0.3, -3/2?
0.3
Let m = -0.1 - -0.3. Let s = m - 1.2. Let i = -10 + 5. What is the biggest value in 1/11, i, s?
1/11
Let q = 262/253 - 28/23. Let c = -10 - -5. What is the biggest value in q, c, 0.1?
0.1
Let h = -3/7 - -47/77. What is the smallest value in 3, -0.04, h?
-0.04
Let g = -32 - -27. What is the second biggest value in 4/5, g, 3?
4/5
Suppose 5*q - 5 + 10 = 5*j, 0 = -3*q + 4*j. What is the fourth smallest value in q, -6, -1, 2?
2
Let s = -0.02 - -2.02. Let w = -0.9 - -0.89. Let r = 0.1 + 0. Which is the second biggest value? (a) s (b) w (c) r
c
Suppose -5*d + z + 17 = -z, 25 = d + 5*z. Let v = 80 - 398/5. What is the third smallest value in v, d, 0?
d
Let h = 11 + -11. Let d = -3 - h. What is the second smallest value in -0.3, d, -0.2?
-0.3
Let m = -34.5 + 35. Let k = 3 - 0. Which is the biggest value? (a) m (b) k (c) 0.1
b
Let h = 3 + -2.6. Suppose 2*d - 12 + 4 = 2*r, 2*r = 5*d - 14. Which is the second biggest value? (a) d (b) -5 (c) h
c
Let l be (16/7 + -2)/1. What is the fourth smallest value in l, 6, -4, -1/8?
6
Let a = -34.6 + 47. Let f = a - 14. Let b = f - -2. What is the second biggest value in -2, b, -3?
-2
Let a = 15 - 59/4. What is the second biggest value in a, -4, 2?
a
Let a = -5 + -6. Let m = -12 - a. Let u = 7/12 + -29/36. What is the third biggest value in u, -0.2, m?
m
Let w(d) be the first derivative of -d**3/3 + 4*d**2 - 8*d + 2. Let l be w(7). Let f be 0/2 + 4/14. Which is the second biggest value? (a) 1 (b) f (c) l
b
Let h = -3.045 + 0.045. What is the biggest value in -5, h, -2/11, 3?
3
Let f = -0.2 - -0.6. Let d = f + 3.6. Which is the biggest value? (a) -0.5 (b) d (c) -2
b
Let n = -4.439 - -0.039. Let c = n - -0.4. Let g = 0.97 - -0.03. What is the third biggest value in c, g, 3/4?
c
Let l be (2 - 1) + (-113)/121. Let u = 2/363 - l. Let y = -80/231 - u. What is the third smallest value in 2/3, 2, y?
2
Let i = -1.3 + 1.4. Let z be 5/(-6) + (-1)/(-3). Let f = 1.9 + -2. Which is the second biggest value? (a) i (b) f (c) z
b
Let w be (-1)/(-2)*(-8)/(-2). Let h be 2/(-7) + (2 - w). Which is the smallest value? (a) -4 (b) -0.5 (c) h
a
Suppose j + 4 = 4*y, -5*j + 2*y - 10 - 46 = 0. Let w be 1/(5/j) + 3. Which is the smallest value? (a) w (b) 1 (c) -2
c
Let w(c) = 4*c - 1. Let f be w(3). Let q be 7/14 + f/(-30). Let b = 4.02 + -0.02. What is the biggest value in 0.1, q, b?
b
Let z = -4.5 + 4.3. Which is the biggest value? (a) z (b) 0.016 (c) 4
c
Let d = 9 - 5. Let r = 9.8 - -3.7. Let x = 13 - r. Which is the second biggest value? (a) -3 (b) d (c) x
c
Let y(q) = q**2 + 11*q + 25. Let v be y(-8). What is the second biggest value in -2/21, 0.4, v?
0.4
Let n = 4.17 + -0.17. Let h(f) = f**2 - 6*f + 4. Let x be h(4). Which is the second smallest value? (a) n (b) x (c) -3
c
Let s = -0.9 - -0.2. Let q = s + 1. What is the biggest value in -2, 0.2, q?
q
Let t = 0.07 + 1.93. What is the second biggest value in 4, t, 0.2?
t
Let n = -4.6 - -8.6. What is the third biggest value in 0.03, n, -0.2?
-0.2
Let j = -4.1 + 4. Suppose 6*n - 3*n + 1 = -4*f, -n = 3*f + 7. Which is the second biggest value? (a) -0.5 (b) j (c) n
b
Let r = -2.86 - 0.14. What is the second smallest value in r, 3/5, 1/8?
1/8
Let a = -0.753 - -0.053. What is the smallest value in 5, a, 2?
a
Let f = 0.4 + -1.4. Suppose -4*m = -l - 13, 3*m - 2*m - 3*l = -5. Let o be 8/20 + 17/(-30). Which is the second smallest value? (a) f (b) m (c) o
c
Let n = -44 + 45. Let t = 4 + -6. What is the second smallest value in t, -5, n?
t
Let n = -13 - -8. Let q = 0.6 - -2.4. Let a = q + -2.6. What is the third smallest value in a, -4, n?
a
Let c = -102 + 107. What is the second smallest value in 2/13, 2, -2/17, c?
2/13
Let u(i) = -8*i**2 + 18*i + 11. Let t(r) = 3*r**2 - 6*r - 4. Let a(n) = -11*t(n) - 4*u(n). Let y be a(-6). What is the smallest value in 4, 0.1, y?
y
Let z = 0 - -0.1. Let u = z - 1.1. Let d be ((-2)/3)/((-2)/(-3))*-1. Which is the third biggest value? (a) -1/3 (b) u (c) d
b
Let l = 2.5 + 0.5. Let s = l + -3.4. Let a = 0 + s. What is the biggest value in 5, -2, a?
5
Let l(v) = -2*v - 6. Let z be l(-5). Which is the biggest value? (a) 3 (b) z (c) 3/4 (d) 3/7
b
Let i = -2 + 6. Let t be ((-2)/i)/(15/6). Which is the third smallest value? (a) 5 (b) 0 (c) t
a
Let l = 0.051745 - 244.941745. Let s = 241 + l. Let k = -0.11 + s. Which is the third biggest value? (a) k (b) 2 (c) -0.3
a
Let l = -20 + 18. What is the second smallest value in l, -2/3, -0.8?
-0.8
Let n = -0.04 - 1.96. Let z = 2 - 12/7. Which is the smallest value? (a) n (b) 2/11 (c) z
a
Let f = 1.3 + -4.3. Let h = -9 + 5. What is the second smallest value in h, -5, f?
h
Let i be 4/26 + 32/(-39). Let y = -0.37 + -0.03. What is the smallest value in -1/6, i, y?
i
Let f(z) = z**2 - 11*z + 4. Let c be f(11). Suppose -s - 12 = -5*u - 1, c*u - s - 8 = 0. What is the smallest value in -0.2, -2, u?
-2
Let r = -7 - -3. Let h = 0.2 - -1.8. Which is the biggest value? (a) h (b) r (c) -2
a
Let k = -106.4 + 106. Let m be 10*1*(-1)/2. What is the second smallest value in m, k, 5/4?
k
Let d = -2.23 + -0.77. What is the fourth smallest value in 0, 8, -0.1, d?
8
Let o = -0.2 - -0.2. Let n = -0.0373 + -1.9627. Which is the third biggest value? (a) n (b) 0.1 (c) o
a
Suppose -q + 3*x = -1, q + 2*x - 6 = 5. Let o = q + -6. Let d = 0 + 0.1. Which is the second biggest value? (a) d (b) -4 (c) o
a
Let l = -86.89 - -90.9. Let n = -0.01 + l. Let u = 0.1 + -0.6. Which is the second biggest value? (a) 2/7 (b) u (c) n
a
Let z be ((-1)/(-4))/((-3)/(-16)). Let w = 26 + -38. Let k = w + 59/5. Which is the second biggest value? (a) z (b) -0.3 (c) k
c
Let z(p) = -p**3 + 5*p**2 - 3*p - 5. Let h be z(4). Let l be h/2*112/70. Which is the smal
|
{
"pile_set_name": "DM Mathematics"
}
|
= 2*v for v.
2
Solve -27*b = 5*n + 142, -10*n - 50 = -5*n - 2*b + 63 for n.
-23
Solve 8*z + 44*k = z + 47*k - 7, 6*z - 2*k = 10*z - 22 for z.
2
Solve -4*x = -4*s - 4, -136*x - 12 = -138*x + 5*s - 0*s - s for x.
-4
Solve 0*x + 169 = 3*x + 3*p - p, -857*p + 860*p = -2*x + 261 for x.
-3
Solve -10 = 4*a + b, -5*a - 45*b - 370 = -3*a - 81*b for a.
-5
Solve -17*z - 5*s + s = -12*z - 49, 26*z + 7*s = 24*z + 52 for z.
5
Solve -11*q = -39*v + 19*v + 16*v + 75, v + v + 3*q + 10 = v for v.
5
Solve -5*h + 5*i = 100, -2*h = -376082*i + 376075*i + 35 for h.
-21
Solve -5*n - 10 = o, 62582*n + 8 = 62578*n - 57*o + o for n.
-2
Solve 3188 = -5*z - l + 3167, -4*z - 16 = l for z.
-5
Solve -5*b + 2*s = -40, 4*b - 44 = 96364*s - 96360*s for b.
6
Solve 67*o - 71*o + 5*d - 47 = 0, -27*o - 131*d = -132*d + 88 for o.
-3
Solve 116*m - 32 = 118*m - b, 0 = -2*m + 5*b - 16 for m.
-18
Solve 2*r - 6017 = -3*g - 6019, -3*g - 28*r + 24 = -26 - 0 for g.
-2
Solve 0 = 2*f - t + 23, 333106*t + 93 = 3*f + 333113*t for f.
-4
Solve -5*y + 205 = -5*f + 320, -4*y + 75 - 17 = 26*f for y.
-18
Solve 2*i = -2*x + 122, -i - 247*x + 65 = -493*x + 243*x for i.
62
Solve 5*x + 46*j + 234 = 22*j - 13*j, -5*x + 5*j + 60 = 0 for x.
5
Solve 13*y + 3*i = 9*y + 53, -3*y + 15*i = 127*i - 369 for y.
11
Solve -10*k - 5*z + 636 = 96*k - 131, 3*k = -2*z + 31 for k.
7
Solve -a - 9*f = 42, a - 792*f + 790*f = 13 for a.
3
Solve -4*h = 4*i + i - 64, 13*h + i - 208 = -2*i for h.
16
Solve 7*t + p + 4 = 0, -49*t + 52*t - 7*p + 96 = -16*p for t.
1
Solve 7*s + 27 = 2*q - 39 + 7 - 8, -3*s + 19 = 2*q + 2 for q.
16
Solve 2*h = 5*f - 4*h + 5*h + 10, -67*f + 8 = -71*f + 4*h for f.
-2
Solve -2030*a + 14*n + 159 = -2031*a, 0 = -4*n - 44 for a.
-5
Solve 5*m + 43*w + 73 = -33*w + 75*w, -3*m - 51 = -3*w for m.
-15
Solve -248 = -16*l - 122955*s + 122953*s, 76 = 4*l + 4*s for l.
15
Solve 4*s - 13*c + 104 = -c, -2*s = c - 11621 + 11673 for s.
-26
Solve d - 350 = -31*b - 8*b + 41, -2*b + 5*d - 390 = -405 for b.
10
Solve 70*g + 285 = 5*z, -5*g - 2*z + 34 + 26 = 45 for g.
-3
Solve 65*f + 4*l + 12 = 67*f, 156*l = 4*f - 764 for f.
-4
Solve -4*a - 1958*u = -1962*u + 16, a + 4 = 3*u for a.
-4
Solve -4*u = -366*k + 371*k + 11, 4*u + 12 = -3*k + 7 for k.
-3
Solve -g - 2*g = 2*g + 5*u - 35, 2 = -31*g + 30*g + u - 1 for g.
2
Solve 5*d = 11*q - 0*q + 270 - 138, 5*d + 2*q = -24 for d.
0
Solve -9 = 3*o + 6*q, 0 = 172*o - 167*o + 5*q + 19 + 6 for o.
-7
Solve 2*z - 13 = -5*t + 6, 4*t = 2*z - z - 18825 + 18835 for z.
2
Solve 621*z + 12 = -2*p + 1239*z - 622*z, -2*z - 22 = 3*p for p.
-8
Solve 2*j + 3*d = 18, 2*d - 1319 + 2657 - 1390 = -8*j for j.
6
Solve -5*d = -b + 23, -9*d + 7*d + 7*d + 64*b - 66*b + 31 = 0 for d.
-3
Solve 0*l - w - 7 = 3*l - 4, 0 = 133*l - 135*l + 21*w - 2 for l.
-1
Solve 48*o = -2*d - 212 + 526, d - 5*d + 199 - 41 = 2*o for o.
5
Solve f + k - 9 = 0, 18*f = 21*f - 5*k - 11 + 8 for f.
6
Solve 0 = -5*f - 20, -55*f = -4*d - 99*f + 41*f for d.
3
Solve -3*j - 15 = -5*y, 12*y - j + 80530984 - 80530989 = 0 for y.
0
Solve -32*o + 52*o = 5*y + 41*o + 115, 13 = -2*y + 3*y - 3*o for y.
-2
Solve 0 = -109*n + 110*n + 2*u - 12, -2*n = 5*u - 19 - 9 for n.
4
Solve -16*l + 2 + 68 = -11*l, -4*v + 8*l - 109 = -3*v for v.
3
Solve -2*d + p = 15, 0 = -5*d + 23705*p - 23713*p + 29 + 7 for d.
-4
Solve 4*o = -4, 26*z + 7*o + 17 = -8 - 86 for z.
-4
Solve -5*x = 5*z + 130, -19*x - 8 = -9*z + 14*z - 5*z + z for z.
-27
Solve -71 = 3*z + 9*z - 2*j + 149, -106 = 6*z + j for z.
-18
Solve -9640*v + 19278*v + 5*o + 9 = 9640*v, 3*v + 3*o = -18 for v.
-3
Solve -3*h = -h + 2*q + 30 + 2, -49*h + 44*h - 52 = -2*q for h.
-12
Solve 0 = -3*t + 5*h + 68, -t - 5*h = 14*t + 72 - 22 for t.
1
Solve 8*c - 18 = 6*c + 5*k + 2, -4*c = -2*k - 40 for c.
10
Solve 26 = 2*f - 5*i, -194 - 80 = f - 3*f + 67*i for f.
3
Solve -134 = -2*n - 3*m, 0 = -2*n - 28*m - 6 + 8 + 12 + 20 for n.
73
Solve 0*d = b + 15*d - 7*d - 19, 2*d = -6*b - 4 + 72 for b.
11
Solve -3 = m, 3*m + m - 2 = -b - 0*b - 16 + 2 for b.
0
Solve 2*d - 33 = 3*m - 24, -6*m + 4*d + 17 = -40*m - 85 for m.
-3
Solve -38*i + 42*i + 2*a = 20, i - 3*a + 2 = 0 for i.
4
Solve 5*g + 17 = -n, 8519*n = 4*g + 8518*n + 10 for g.
-3
Solve 11 = y - 4*r, -341*y + 175*y - 7*r = -168*y + 22 for y.
11
Solve -5*z + 3*h + 40 + 22 = 41, -5*h - 13 = -6*z + 15 for z.
3
Solve 1680*y = -3*v - 6720, -3*v - 457*y = -458*y - 4 for v.
0
Solve 0 = -5*i - 746*r + 748*r + 67, r = 2*i - 27 for i.
13
Solve -4*v + 12 = -m, -v + 434 - 205 - 226 = 3*m for v.
3
Solve -6*k = -3*x - 246, 975*k + 82 = 977*k + 3*x for k.
41
Solve 2*d = -r + 92, 34 - 35 = -21*d + 19*d + 89 for r.
2
Solve -3*m - i - 8132 = -8*m - 8108, -8*m - 888 = 37*i for m.
0
Solve 0 = -4*p - 3*n - 71 - 93 + 75, 2*n = -4*p - 62 for p.
-2
Solve -5*m + 301036*u - 301039*u = -6, m + u = 0 for m.
3
Solve -73 = -2*p + 248*n - 243*n, -11*p - 5*n = 86 for p.
-1
Solve 2*c + 4*u - 140 = -152, -2*c = u for c.
2
Solve 2*s - 213*g + 217*g - 38 = -4, 2*g - 15 = s for s.
1
Solve 4*v - 12*n + 11*n - 158 - 167 = -338, -4*n = v + 16 for v.
-4
Solve -34*a - 3*d - 204 = -11*a, -85*a = -82*a - 3*d + 30 for a.
-9
Solve 5*u - 259*i - 1 + 19 = -256*i, 6 = 6*i for u.
-3
Solve -3*c + 116 = -4*n, 249*n - 98 = 208*n - 5*c for n.
-2
Solve 4*y + 7706 - 15246 = 2*q - 7666, 0 = -4*y - 5*q + 245 for y.
-5
Solve -7*w + 115 = -3*g, -2*g + 40*w - 35*w - 175 = -93 for g.
-1
Solve 4*i = -w + 20 + 26, 47*w + 24*i - 35*i + 208 = -18 for w.
-2
Solve 27*z + 4*z + 371 + 576 = 79, -2*z = -c + 50 + 7 for c.
1
Solve -3*y = 3*z - 15, 726589*y - 726594*y + 5 = z for z.
5
Solve m - 5*d + 16 = -1 + 18, 18*m + 74 = -2*d for m.
-4
Solve 2*h + t + 28 = -t, 1434*t = 4*h + 1437*t + 8 + 13 + 24 for h.
-3
Solve -i + 4*u = 58, 0 = 49406*i - 49414*i - 2*u + 12 for i.
-2
Solve 3*j = -2*s - 20, -4189 + 4099 = 3*j + 12*s for j.
-2
Solve 3*l + 3*k - 3365 = -3344, 7*k + 5 = 2*l for l.
6
Solve -41*i + 24 = -39*i + 4*v, 9*i + 2*v - 92 = 0 for i.
10
Solve 2*u - 4*h = h + 5, 17*h + 25 = -15*h + 7*h for u.
0
Solve -12*v = -y + 106, -2*y - 48 = -v - 104 + 51 for v.
-9
Solve 1423 = 457*v - 4*g, -v + 11*g + 42 = 8*g for v.
3
Solve 5*c - 5*m - 10 = 0, 438*c - 435*c - 58*m + 54*m = 3 for c.
5
Solve 2*z = 2*w - 86, 237272*w - 237277*w = -4*z - 175 for w.
3
Solve -5*c - 39*v + 74*v + 131 = 32*v, -15*c + 3*v + 111 = 0 for c.
-2
Solve -21 = -5*j - 4*k, j - 24 = -176*k + 173*k for j.
-3
Solve -v - 5*n + 29 = 0, 12203*v - 12200*v + 5*n - 47 = 0 for v.
9
Solve 2*x - 16*s - 1064 = -1136, 0 = 7*x - 2*x + s + 57 for x.
-12
Solve -2*r - 310 = 3*r - 5*s, 33*s + 49*s = 87*s - 10 for r.
-60
Solve -5*s + 10 = 5*f, 37*s - 38*s + 16657*f = 16653*f + 33 for s.
-5
Solve 0 = -163*y + 159*y + 5*r - 10*r - 2, 2*r = 4*y - 12 for y.
2
Solve -23*u = 23*u - 45*u - 3, -q + u = 4 for q.
-1
Solve -3*d = 3*g - g - 4, 4 = 2438*d - 2443*d + 2*g for d.
0
Solve 0 = -3*n + 5*o - 22, 118616 = 5*n - 3*o + 118642 for n.
-4
Solve 0*z + z + 4*k - 2*k - 24 = 3*z, k - 4593 = 510*z for z.
-9
Solve -4*t - 54*l - 40 = -128, -60*t + 3*l - 6 = -124*t + 64*t for t.
-5
Solve 4*v - 4*j - 88 = 0, 95 = 4*v - 1002*j + 2045*j - 1040*j for v.
23
Solve 316*l - 319*l + 191 = 5*v, -7*v = -4*l - 292 for l.
-3
Solve -4*b - 151 = -5*z - 236, 5 = -4*z - b for z.
-5
Solve 62 = 3*v - v - 4*x, -2*v + 4317*x + 548 = 8609*x - 4323*x for v.
-5
Solve -s - 4571 + 641 = 357*a, -5*s + a = 6*a + 70 for s.
-3
Solve -20*s + 100 = 4*q, 2*s - 11*s - 4*q = 47 - 81 for s.
6
Solve 787*v + 4*g = 3144, 2*v - 4*g - 5 - 5 = -v + 6 for v.
4
Solve 0*t - 269*w = -2*t - 1107 - 4731 + 721, -w = -2*t - 25 for t.
-3
Solve 5*u + 178*l - 85*l - 5 = 98*l, -3*u - 14*l = -71 for u.
5
Solve -r + 5*d = 28, 2535 - 2539 = -2*d for r.
-18
Solve -512 = 3*n - 3*r - 395, 2*n = -2*n + 3*r - 152 for n.
-35
Solve 34*s + 89 + 51 = 35*s - 48*i, -2*i = s - 5*i - 5 for s.
-4
Solve 0 = -t + 3*j + 30, j + 293 - 80 = 10*t for t.
21
Solve -5*d = -2*l + 15, 9*d = -8*d + 12*d - 3*l + 10 - 0 for d.
-1
Solve 3*o + 10586 = 2*s + 10604, 2*s - 4*o = -22 for s.
-3
Solve 14*j - 9*d - 12*d + 23*d + 13 = 11*j, -3*d - 15 = 0 for j.
-1
Solve -1663*f - 45 = -1668*f, 2*c = 5*f - 53 for c.
-4
Solve p = -3*a - 1568 + 1548, 5*a = -6*p - 42 for p.
-2
Solve -2*n - 3*w + 22 = -2*w, 15*n + 6*w - 199 = -12*w + 19*w for n.
13
Solve 8*c = -q + 81, 14*c + q + 11 = 5*c + 10*c + 2*q for c.
10
Solve g - n
|
{
"pile_set_name": "DM Mathematics"
}
|
0
What is -673.94 rounded to the nearest one thousand?
-1000
What is -0.0000249 rounded to 6 dps?
-0.000025
Round -66.572 to zero decimal places.
-67
What is -1231.3 rounded to the nearest 100?
-1200
Round 0.005304 to 3 decimal places.
0.005
Round 1693700 to the nearest ten thousand.
1690000
Round -4.847 to zero dps.
-5
Round -7732000 to the nearest one hundred thousand.
-7700000
Round -8300 to the nearest one thousand.
-8000
Round -0.289 to 1 decimal place.
-0.3
What is 0.00003763 rounded to six dps?
0.000038
Round 1281730 to the nearest one hundred thousand.
1300000
Round -0.00000066601 to 6 decimal places.
-0.000001
What is 0.37102 rounded to 2 decimal places?
0.37
Round -8112 to the nearest 1000.
-8000
What is -0.00152172 rounded to five dps?
-0.00152
Round 0.000025353 to 5 dps.
0.00003
What is -47640 rounded to the nearest 1000?
-48000
What is 0.000033922 rounded to six dps?
0.000034
Round -10.341 to the nearest 10.
-10
What is 53200000 rounded to the nearest one million?
53000000
What is -39550000 rounded to the nearest 1000000?
-40000000
Round -0.014401 to 2 decimal places.
-0.01
What is -84.029 rounded to the nearest 10?
-80
Round 25677 to the nearest one thousand.
26000
Round 15.0678 to zero decimal places.
15
What is 8530 rounded to the nearest 1000?
9000
Round -0.0000066988 to seven dps.
-0.0000067
Round 10328700 to the nearest one hundred thousand.
10300000
Round -0.0000059189 to six decimal places.
-0.000006
Round -0.000053575 to five decimal places.
-0.00005
Round -153.38 to 0 decimal places.
-153
Round 93.545 to one decimal place.
93.5
Round 20875300 to the nearest one million.
21000000
Round 44660 to the nearest ten thousand.
40000
What is -1589 rounded to the nearest one hundred?
-1600
Round -753500 to the nearest ten thousand.
-750000
What is 0.000034909 rounded to 5 decimal places?
0.00003
What is -0.0000025553 rounded to seven dps?
-0.0000026
What is -15531000 rounded to the nearest 1000000?
-16000000
Round -15.8 to the nearest 10.
-20
What is -0.14544 rounded to three decimal places?
-0.145
What is 2242.3 rounded to the nearest 10?
2240
Round 2532400 to the nearest ten thousand.
2530000
What is -14788300 rounded to the nearest one million?
-15000000
Round -15.12 to one decimal place.
-15.1
What is 0.499 rounded to 1 dp?
0.5
Round -0.000027524 to five decimal places.
-0.00003
Round 0.00008134 to 5 dps.
0.00008
Round 0.000155 to four dps.
0.0002
Round -627400 to the nearest 10000.
-630000
What is 0.0000061011 rounded to six dps?
0.000006
Round 0.00007042 to 5 decimal places.
0.00007
What is 0.002421 rounded to 4 dps?
0.0024
Round 0.0000147426 to 7 decimal places.
0.0000147
What is 2333000 rounded to the nearest one hundred thousand?
2300000
Round -0.0000124 to six dps.
-0.000012
Round -602000 to the nearest 100000.
-600000
Round -0.000009538 to 6 decimal places.
-0.00001
Round 0.0005557 to 4 decimal places.
0.0006
Round 0.42758 to 2 dps.
0.43
Round -108.911 to 0 dps.
-109
Round -18803000 to the nearest 1000000.
-19000000
What is 3436.35 rounded to the nearest one hundred?
3400
Round -0.0124453 to 3 decimal places.
-0.012
What is 169.16 rounded to 0 decimal places?
169
What is -147000 rounded to the nearest one thousand?
-147000
What is -0.000000172 rounded to 7 dps?
-0.0000002
What is -0.00054 rounded to 4 dps?
-0.0005
Round -0.011788 to four decimal places.
-0.0118
Round -0.00000602 to six dps.
-0.000006
What is -0.00004847 rounded to 5 decimal places?
-0.00005
Round 1137900 to the nearest one hundred thousand.
1100000
Round -0.000053277 to seven decimal places.
-0.0000533
What is 590180 rounded to the nearest 100000?
600000
What is 1861000 rounded to the nearest 100000?
1900000
Round 0.000391 to 4 dps.
0.0004
What is -2255 rounded to the nearest 10?
-2260
Round -0.000025219 to 6 decimal places.
-0.000025
What is 121.3 rounded to the nearest ten?
120
What is 52870 rounded to the nearest 10000?
50000
Round 1250700 to the nearest one hundred thousand.
1300000
What is 0.8218 rounded to two dps?
0.82
Round 0.00000713 to four dps.
0
Round 0.00082191 to four decimal places.
0.0008
What is 5270000 rounded to the nearest 1000000?
5000000
Round 1.764 to 2 dps.
1.76
Round 26.9 to the nearest 10.
30
Round 0.000973 to 4 dps.
0.001
What is 0.804 rounded to 2 decimal places?
0.8
Round 0.02933 to 3 dps.
0.029
What is 0.1116 rounded to two decimal places?
0.11
What is 0.0173918 rounded to 2 decimal places?
0.02
What is 0.0000000385 rounded to seven decimal places?
0
What is 0.000002414 rounded to seven dps?
0.0000024
What is -8877000 rounded to the nearest 100000?
-8900000
Round 0.4612 to two decimal places.
0.46
What is -332000 rounded to the nearest 100000?
-300000
What is -4.8955 rounded to 2 decimal places?
-4.9
Round -0.00182 to 3 decimal places.
-0.002
What is -0.0004644 rounded to five decimal places?
-0.00046
Round -101.47 to the nearest ten.
-100
What is 0.0000008703 rounded to 7 decimal places?
0.0000009
Round -0.0081221 to 4 decimal places.
-0.0081
What is 0.000000216 rounded to seven dps?
0.0000002
What is 1947 rounded to the nearest 100?
1900
Round 23.69 to the nearest 10.
20
What is -0.000304 rounded to 5 dps?
-0.0003
What is -0.00001583 rounded to 6 decimal places?
-0.000016
What is -0.0001051 rounded to 4 decimal places?
-0.0001
What is 0.00017784 rounded to 5 dps?
0.00018
What is 35.683 rounded to the nearest integer?
36
Round 80.09 to zero dps.
80
What is 186.43 rounded to the nearest integer?
186
What is -5106.4 rounded to the nearest 100?
-5100
Round -87260 to the nearest 1000.
-87000
What is -0.0016902 rounded to 4 dps?
-0.0017
Round 0.0000035211 to seven dps.
0.0000035
What is 2.87184 rounded to one dp?
2.9
Round 3920000 to the nearest one million.
4000000
Round 730730 to the nearest 100000.
700000
What is 0.2405 rounded to one dp?
0.2
What is 0.009 rounded to 2 dps?
0.01
Round -789.43 to the nearest one hundred.
-800
Round -1070.51 to the nearest one hundred.
-1100
Round -454320 to the nearest 10000.
-450000
Round -2408000 to the nearest 100000.
-2400000
Round -2500 to the nearest ten thousand.
0
Round 23.431 to the nearest ten.
20
What is 0.00011159 rounded to 6 decimal places?
0.000112
Round 106 to the nearest 100.
100
What is 0.5279 rounded to one dp?
0.5
Round -0.001373 to 4 dps.
-0.0014
Round -60043000 to the nearest 1000000.
-60000000
What is 1181 rounded to the nearest one hundred?
1200
What is 1350.21 rounded to zero dps?
1350
Round 44.5 to the nearest one hundred.
0
What is -8014.7 rounded to the nearest 10?
-8010
Round 41.65 to the nearest integer.
42
What is 0.043116 rounded to 3 dps?
0.043
What is 0.028103 rounded to 3 dps?
0.028
Round -8933 to the nearest one hundred.
-8900
Round -0.0000793 to 4 dps.
-0.0001
What is 25.9952 rounded to one dp?
26
Round 0.000000404 to 7 dps.
0.0000004
Round -0.005062 to 4 decimal places.
-0.0051
Round -636000 to the nearest 100000.
-600000
Round -413.296 to the nearest ten.
-410
What is -0.00012812 rounded to six decimal places?
-0.000128
Round 0.0000185819 to 7 decimal places.
0.0000186
What is 16883 rounded to the nearest 1000?
17000
What is -811 rounded to the nearest 1000?
-1000
Round -186000 to the nearest one hundred thousand.
-200000
Round 15830 to the nearest ten thousand.
20000
Round -14940 to the nearest 100.
-14900
Round -1865.85 to the nearest 10.
-1870
Round 0.024892 to three dps.
0.025
Round -131.3 to the nearest 100.
-100
Round 10.768 to one dp.
10.8
What is -72499 rounded to the nearest ten thousand?
-70000
Round -634787000 to the nearest 1000000.
-635000000
Round -0.00007411 to five decimal places.
-0.00007
Round 9.26 to the nearest 10.
10
Round -409.6 to the nearest ten.
-410
Round 442100 to the nearest ten thousand.
440000
Round -667400 to the nearest 10000.
-670000
What is -0.53342 rounded to 3 decimal places?
-0.533
What is -57300000 rounded to the nearest one million?
-57000000
What is 0.00000209228 rounded to seven decimal places?
0.0000021
Round -5420 to the nearest one thousand.
-5000
Round 4.937 to 1 dp.
4.9
What is 0.01555 rounded to three decimal places?
0.016
Round 129810 to the nearest one thousand.
130000
What is 5.57 rounded to one dp?
5.6
What is 177220 rounded to the nearest 1000?
177000
Round -21.54 to the nearest integer.
-22
What i
|
{
"pile_set_name": "DM Mathematics"
}
|
0 - -1 - 9 - (865 - 899).
26
What is the value of (6 - (-3 + -3 + 8)) + (-22 + 0 - 0)?
-18
What is -487 - -476 - (-4 + 9 - (-43 + -3 - 1))?
-63
What is the value of 0 - 51 - ((27 - 13 - (-4 + 30)) + 10)?
-49
Calculate 18 - ((-8 + 18 - 36) + -8).
52
What is 18 - (8 - (20 + 11 + -20) - -8)?
13
(1 - -10) + (29 - (15 - -8)) + -26
-9
What is -64 + -2 - (28 + (1 + -17 - (-75 + 98)))?
-55
What is the value of -138 + 34 - (-8 - -2 - (-38 - -51))?
-85
What is the value of (-387 - -386) + -3 + 39 + 2?
37
What is -46 + (0 + 22 - (22 - 9)) + -13?
-50
Evaluate (6 - -11) + (-17 - (-77 + 31)).
46
-71 + (58 - 7) + -2 + 40
18
Calculate (-37 - 9) + 0 + -9 - (3 - 20 - -5).
-43
Calculate 146 - ((-26 + 4 + 12 - 5) + (3 - -26)).
132
Calculate (3 - 4 - (-1 + 4)) + (117 + -65 - 36).
12
(-20 + (-16 - -37) - -5) + (97 - 2)
101
0 + (10 - (29 + -3 + -10)) + -23
-29
-16 - -1 - (12 - 6)
-21
What is (-16 - -6) + (64 - (15 - 14) - 24)?
29
(-14 - -31 - (29 - 2)) + 32
22
Calculate (627 - 589) + (2 - (2 - 18)).
56
What is 0 + 5 + -2 + 5 - (289 - 292)?
11
Calculate (28 - (-18 - -31)) + (29 - 2).
42
-3 + -169 + (-7339 - -7421)
-90
Calculate 0 + -1 + 49 + -21 + -62 + -12.
-47
Evaluate -10 + (155 - 46 - 54).
45
-1 + (3 - 23) + (-1106 - -1079)
-48
Evaluate (-9 - 1 - 2) + (43 - 18) + 9 + -7.
15
What is the value of (-188 - -192) + (13 - 6)?
11
What is (-151 - (-87 + -32)) + -1 + 63?
30
What is -23 + (-1 + -12 - -31) + -3?
-8
-158 - 6 - ((-16 - -11) + 1 + -20)
-140
-1 - (13 + -1) - (-68 - -38 - 27)
44
Evaluate -5 + 9 - 5 - 4 - -66 - (355 + -345).
51
Evaluate -146 - (-98 + (-134 - -103)).
-17
(-1 - 64) + (-35 - (-88 + 33) - 9)
-54
Evaluate (36 + -53 - (0 - 1)) + -57.
-73
What is the value of -20 + (14 - 61 - -103)?
36
(5 - 2) + -1 + -60 + 59 + -7
-6
-49 + (-189 - -217) - (0 - 60)
39
What is 13 - (20 + 0 + -321 + 323 + 21)?
-30
Evaluate 28 - (-109 + (42 + 41 - 39)).
93
Calculate 7 + 19 + -9 + (-15 - -34).
36
What is the value of ((5 - -53) + 2 - 18) + 10?
52
0 + -9 - (19 + -24 + -8) - -8
12
What is (-4 + 2 + 7 - 11) + 10 + -1?
3
Evaluate -4 + 54 - 4 - 81.
-35
Evaluate -39 + (-14 - 1) + (6 - -11).
-37
What is -10 + (7 + -14 + -8 + 18 - -14) + -116?
-109
Evaluate (-1 - 11) + 12 + -23 - (8 + 7).
-38
What is the value of (-173 - -50) + (2 - 3) - (-1 - (24 - 10))?
-109
Evaluate (-32 - (-12 + 25 + -13)) + 76.
44
49 - ((12 - 33) + 20)
50
What is -85 - (-13 - 15 - 14)?
-43
Calculate 21 + 5 + -12 - 1 - ((57 - 1) + -10).
-33
What is the value of -48 + 0 - (373 + -417)?
-4
Calculate -1249 + 1160 + 6 + 2.
-81
8 - -3 - (77 + -87) - 37
-16
-16 + 54 + 2 + -1 + 36
75
Calculate -43 - 0 - 17 - (3 - -6).
-69
-6 + -3 + 14 + (23 - 18) + -61
-51
What is the value of 23 + -63 + 129 + -87?
2
Calculate (12 + (11 - 49) - (-12 + 0)) + -14.
-28
-8 + (-9 + (-6 - (-12 - -7)) - -9)
-9
What is the value of 22 + 18 + -11 + -7?
22
Evaluate 40 + (-21 - -19 - (2 - 11 - -1)).
46
What is 25 - (0 + 5 - (34 + -40))?
14
Evaluate 17 + -2 + 3 + -5 + 42.
55
Calculate 2 + -18 - (-54 - (-4 + -47)).
-13
Calculate -10 - (58 + 94) - -75.
-87
Calculate -10 + 2 + (5 - -1) + (-5 - -12) - 33.
-28
Calculate (-12 + 1 - (6 + -28)) + -102 + -6 + -3.
-100
Calculate (-786 - -721) + (2 - (-2 - -2)) + 1 + 5.
-57
Evaluate 38 + (21 - -3 - 44 - 11).
7
Calculate 110 + (-5 - -22 - 36) + -4 + (-2 - 3).
82
What is the value of -23 + (-22 - -3 - -40) + -22?
-24
Evaluate (122 - (25 - 22 - -12)) + -10.
97
What is -30 - (-15 - 6) - (5 + (-3 - -1))?
-12
Calculate (-14 - -9) + 1 + 17 - (-36 + 29).
20
Calculate 83 + -65 - (3 - -37) - (0 - 2).
-20
What is the value of 0 + 1 + 2 + 14 - (-5607 + 5600)?
24
Evaluate (69 + -35 - 32) + (13 - -1 - 0).
16
Evaluate (25 - 2 - (56 + -44 + 0)) + (66 - -3).
80
What is the value of 9 + (-8 + -3 - ((-16 - -1 - 4) + 5))?
12
-11 + (-9 - (-13 - -19 - (-4 - -22)))
-8
Calculate 10 - (143 - (49 - -225)).
141
Calculate 20 + (11 - (-2 + -7 - -3)) + -7.
30
Calculate 75 + 0 + (1 + 3 - (20 - 3)) - -1.
63
What is 12 + (92 - (71 + -18)) + (2 - -14)?
67
-51 + 79 + -39 + 19
8
Calculate 9 - (13 + -4 + -3 - -8) - (-102 - -9).
88
Calculate -29 + (-12 - (-70 + 16)).
13
What is (22 - 0) + 26 + -22 + -6 - 128?
-108
(129 - 119) + -40 + (-2 - -3)
-29
What is the value of (8 - 16) + 25 - ((-5 - -17) + 78)?
-73
Calculate -33 + (-9 - -78 - (-176 - -192)).
20
What is 0 + -4 - -17 - (34 - 15) - (-12 + 24)?
-18
What is the value of 93 - 180 - (-30 - 6)?
-51
Calculate 20 + -40 + -17 + 42 + (0 - 62).
-57
What is the value of (-205 - -56) + 28 + 156?
35
Calculate (110 - 223) + 102 - -128.
117
Evaluate 8 - 10 - (2 - (3 - 2)) - (-8 + 31).
-26
Calculate (21 - 0) + (-101 + 44 - -6) + 103.
73
-4 - (39 + (-99 - -51))
5
5 - (-17 + -2) - (48 + (6 - 73))
43
What is 29 + 28 - 20 - -1?
38
Calculate -127 + 223 + -95 + -2 + (0 - 0) + -26.
-27
(-7 - 1 - (-803 - -799)) + (2 - -8)
6
Calculate 9 + 6 + (-2 - -2) + 26 + -22.
19
What is -8 + 7 - -119 - 1 - (2 + 2)?
113
Calculate 49 + 32 + -3 + -20.
58
(-9 - 50) + 33 + -20
-46
What is -24 - (-3 - (-19 + 28))?
-12
What is the value of 6 + 3 + (-5 - -12 - 8) + 53?
61
28 - (13 - (-36 + (-9 - -24)))
-6
What is the value of 2 + 12 + (8 - 51 - (-15 + -46))?
32
What is the value of (0 - 60) + (44 - 73) + (0 - -27)?
-62
Evaluate 66 + (-18 - -1 - (-18 + -43 + 64)).
46
Evaluate -17 + (-72 - -4) + -13 + (-1 - (10 - -4)).
-113
Calculate (-232 - -168) + 8 + -18 + 9 + -11.
-76
(33 - 3 - 4 - -1) + (20 - (-64 + 93))
18
What is ((-6 - -14 - 19) + 8 - -13) + (46 - 1)?
55
What is the value of (54 - (1 - 2) - (237 - 247) - 12) + -8?
45
Evaluate 14 - ((-3 - -2) + -8 - ((69 - -1) + -82)).
11
What is ((-14 - -8) + 1 - 8 - -17 - -37) + -3?
38
What is the value of 275 + -202 + (2 - 57)?
18
What is the value of 27 + -2 + -153 + 170?
42
(0 - 41) + 1714 + -1672
1
What is (-110 - -38) + (16 - 5) - -21?
-40
Calculate -2 + 15 - -17 - (8 - -14).
8
(2 - 14) + 3 + (71 - 38 - 73)
-49
Evaluate -32 + 15 + -15 + -10 - (0 + -6).
-36
Calculate -36 - -73 - (-1 - 8).
46
Evaluate -18 + ((-10 - -56) + 24 - -31).
83
What is -7 + 0 + -10 + 12 + -2 + 7?
0
What is 49 - (64 - 15 - -17)?
-17
-2710 + 2632 - (-2 + -41)
-35
What is the value of (46 - (8 + 41)) + 58?
55
What is the value of (3 - -17) + (-117 - -129)?
32
What is the value of 57 + (8 - (49 + -69 + -20))?
105
Evaluate 129 - (-79 - (-1 + -146)).
61
What is 1 + -45 - ((2 - 40) + (-2083 - -2108))?
-31
What is 117 + -46 + (-117 - -53)?
7
(24 + 1 - 3) + (2838 - 2900)
-40
What is 16 - (11 + (18 - 50)) - 48?
-11
-146 + 42 + 27 + 53
-24
Calculate (41 - (29 + -10)) + (-66 - 16).
-60
What is the value of 48 + -82 + 94 - 125?
-65
28 + (-95 - (-52 + 30))
-45
What is the value of -69 + (-5 + 3 - (-49 + 41 + (11 - -2)))?
-76
What is (-38 - 2) + 101 + -5?
56
What is the value of -20 - -1 - (-122 - (61 - 177)) - (-143 + -1)?
131
Evaluate -115 + 127 + (-3 - 0) + (-1 - 58).
-50
Calculate (-14 - (7 - (49 - 9))) + -9.
10
Evaluate 8 - (-4 - -1 - ((-3 - -23) + -36 + 11)).
6
-47 + 46 + -41 + 3
-39
-5 + (11 + -1 - 24) + -9 - -13
-15
(-223 - -236) + 5 + (-80 - -1)
-61
Calculate -1 + 4 - 1 - (57 - 78).
23
What is -8 + -9 + -44 - -42?
-19
What is the value of 90 - 0 - (12 + (-1 - -16 - (-382 - -413)))?
94
76 - (16 + 67) - (-31 - -4 - -4)
16
Calculate (11 - 11) + 6 + 0 - -1 - (-45 + 3).
49
What is -19 + (15 - ((10 - 15) + -12))?
13
(-62 - ((-7 - 1) + 12 + -7)) + -18 + 3
-74
(-5 + -138 - (61 - 88)) + 30
-86
1785 + -1733 + (1 - 4) - 0
49
10 + -26 + 12 - (10 + (-20 - -5))
1
What is -4 + (172 + -82 - 87)?
-1
Calculate (26 - 2) + 4 + (-23 - (-17 - 3)) + 10.
35
What is (-12 - -6 - 66) + (61 - (27 + 16))?
-54
What is -65 + (-14 - -66) + (1 - -2) + 89?
79
Calculate 678 + -650 - (0 + 73).
-45
Calculate 17 + -8 + -8 + 9 + 28.
38
What is the value of -178 - -226 - (-23 + -28)?
99
(-11 - 3) + 2 + -1 + -158 + 177 + -62
-56
Calculate -617 + 577 - (-1 - -10 - 13).
-36
What is the value of -51 - ((-107 - -99) + (6 - (0 + -4)))?
-53
Calculate -24 + 3 + 56 + (-1 - -74).
108
0 + 10 - (-52 + 57) - (-10 + 3)
12
Calculate 59 + (-36 - -11 - 7) + 34.
61
Calculate -1 + (-1 - 0) - (-27 - (-39 + 8)).
-6
What is the value of (-536 - -446) + 72 - (1 - (-2 - (-1 - -1)))?
-21
Evaluate -32 - 3 - (-17 + 48) - -19.
-47
What is 3 + 0 + 0 + (-18 + -1 - -25)?
9
(23 - 18) + -9 - (54 - (-2 + 1))
-59
21 - (132 + -117 + 9 + -1)
-2
Calculate -2 + -28 + -1002 + 996.
-36
What is 27
|
{
"pile_set_name": "DM Mathematics"
}
|
5
Let h be 524/6 + 2/3. Let j be (-4)/22 + 1600/h. Solve -2*l + 14 = -2*f, -3*f + j = -5*f + 4*l for f.
-5
Let u = 178 + -169. Suppose -2 = -4*t + 34. Solve 7*c - 4*c + 3*d + u = 0, t = -2*c - 5*d for c.
-2
Suppose -4 = 2*f + 5*j + 2, j = -2. Suppose -y - y = -f*m, -3*m + 2*y + 2 = 0. Solve 0 = -z - 4*w - 1, -4*z - m*w = -2*z + 2 for z.
-1
Let y(o) = 4*o + 29. Let i(v) = -v**3 - 13*v**2 - 12*v - 6. Let f be i(-12). Let p be y(f). Solve -p*q + 3*g - 5 = 0, -g + 2*g + 1 = 3*q for q.
2
Suppose 4*f - 7 = 3*h + 8, -4*f - 2*h + 10 = 0. Let m be ((-33)/(-9) - f)/((-1)/(-3)). Solve 2*k + 8 = m*c, 0 = -c + 3*k + k + 7 for c.
3
Let n be 13 + 8/(8/(-7)). Solve g = -2*g + 3*p + 9, 0 = -3*g + 2*p + n for g.
0
Suppose 0 = -2*k + 76 - 68. Solve 4*d - 5*z = 3, -4*d + 0*z = -k*z for d.
-3
Let v(c) = -c**3 + 4*c**2 + 9*c + 7. Let i be v(6). Let s = 18 + i. Solve g + 2*g + 20 = 5*h, -2*h + g + s = 0 for h.
1
Suppose 16*s + 15 = 21*s. Solve -4*l = -3*z - 4, 2*z + 2*l + s*l = 28 for z.
4
Suppose 33*b - 38*b - 10 = 0. Let i be b - 0 - -4 - -2. Solve 5*x = -i*p - 26, 3*x + 0*p + 2 = p for x.
-2
Suppose 5*d + 4*u - 40 = 0, 7 + 3 = 2*u. Solve w = 3*f + d, 2*w + 2*f - 12 = -w for w.
4
Let n be (-2)/9 + (-368)/(-36). Let a be 1*5*(n + -8). Suppose -3*g + a = -g. Solve -g*r = -2*r - 5*m - 2, 3*r = 3*m for r.
-1
Let v(g) = -g**2 - 6*g + 4. Let b be v(-5). Let k(r) = 4*r - 6. Let y be k(b). Let p be (-45)/y - 22/(-4). Solve p*w - 20 = -n, -2*n = -3*w + 7*w - 24 for w.
4
Let v(w) be the third derivative of -w**5/60 + w**4/4 + 2*w**3 - 9*w**2. Let z be v(7). Let n be (0 - 3)/((-3)/z). Solve -6*u + 4 = d - u, 5*u + 20 = n*d for d.
4
Suppose 2*v + 4*w + 9 + 3 = 0, -v - 5*w = 6. Let n be (-4)/v - (-16)/(-24). Solve n*t - t = z + 7, t + 2*z = -10 for t.
-4
Suppose 0*z = 25*z - 125. Solve -5*v + z*b - 5 = 0, -3*v + 2*b - 2 + 4 = 0 for v.
4
Let u be ((-1)/3)/(((-10)/15)/2). Suppose -3*h = -5*i + 12, -4*i - u = -4*h - 17. Solve -5*l - n + 14 = i, -6 = 2*l - 3*l + 3*n for l.
3
Suppose 24*r - r - 12*r = 0. Solve 0 = -5*d - 10, r = 6*h - h + 2*d - 16 for h.
4
Let u(w) = -2*w**3 - 12*w**2 + 5. Suppose 24 = -7*o + 3*o. Let t be u(o). Solve 5*a - t*k = -k, a - 5*k + 21 = 0 for a.
4
Suppose -4*u + 13 = 1. Suppose u*d - 31 = -5*p, p - 1 = 2*p - 3*d. Solve -4 = 5*h + 2*t - 18, 4*h - 31 = p*t for h.
4
Let l(b) = -b**3 - 7*b**2 - 7*b + 8. Let t be l(-6). Let a = t + -5. Solve -3*g - 11 = -5*k, 0 = -3*g - 0*g + a for k.
4
Let y(f) = 10*f - 39. Let d be y(4). Solve -5*c - 5*r = -6 - 19, -4*c = -3*r + d for c.
2
Let b = 208 - 203. Let i = 6 - 2. Solve o = -i*u + 24, -u - 2 = -3*o + b for u.
5
Let q(f) = f**2 + 3*f + 3. Let m be q(-3). Suppose 3*t = 6*t - 6. Solve 2*u - 21 = -t*h - m*h, -3*u + h = 11 for u.
-2
Suppose 4 = -l - r + 3, -15 = -3*l + 3*r. Solve 4*v = -16, l*m + 5*v + 21 = m for m.
-1
Suppose 12*j - 11*j = m - 8, 0 = -3*m + 5*j + 28. Solve -4*r + 3*a = m, 4*r + 7 = 2*a + 3 for r.
0
Let s(q) be the third derivative of q**4/2 + 11*q**3/6 + 18*q**2 - 2*q. Let u be s(0). Solve 0*c = 5*n - 4*c + u, 0 = n - 3*c + 11 for n.
1
Suppose 0*i - 48 = 3*i. Let y(h) = -h**3 - 15*h**2 + 16*h + 3. Let p be y(i). Solve 4*g + p*b = -11, g + 0*g - 2*b = 11 for g.
1
Suppose 5*s = 3*o - 4, 0 = 4*s - o - 2*o + 2. Let x = -2 + -3. Let r = s - x. Solve 2*v = -4, -w = r*w - 3*v - 10 for w.
1
Suppose 2*g + 5 = 5*p, -1 + 4 = p. Solve 0 = g*j + 2*c - 7, -3*j + 2 = -j + c for j.
3
Let i(c) = -c**3 + 9*c**2 + 9*c + 13. Let z be i(10). Solve z*r = -3*v + 18, v + 3 = -v + r for v.
1
Suppose 12 = 5*w + 2*d, 4*w - 8*w = -3*d - 28. Suppose 4*c = -2*b + 16, -5*c - 5 = 5*b - 35. Solve 14 = 5*s + 2*y, -4*y = b*s - 0*y - w for s.
4
Let d(r) = -r + 3. Let s = -8 + 14. Let x be d(s). Let y be (-1)/(14/(-4) - x). Solve -3*o - c = 2*o, -27 = y*o - 5*c for o.
-1
Let j(n) = -n**3 - 7*n**2 - 5*n + 10. Let m be j(-6). Solve 5*w + 2*t + t + 35 = 0, m*t + 8 = 3*w for w.
-4
Let i = 134 + -129. Solve 0 = 3*r + 3, 2*l - 4*r = i*l - 5 for l.
3
Let k(l) = 3*l**2 + 7*l - 16. Let y be k(5). Let f = -92 + y. Solve 0 = i - 0*z + z - 9, -2*i - f = -2*z for i.
4
Let c be (-33)/(-12) + (-1)/(16/12). Solve 0 = -5*j - 3*q + 13, -c*j - 3*q - 22 = -4*j for j.
5
Let z(u) = -u + u**2 - 2 + u + u. Let r = 37 + -41. Let o be z(r). Solve 5*y = -o, -y - 3 = -d + 2*y for d.
-3
Let l = -37 + 33. Let j be 12/(-30) - -4 - l/10. Solve -5*v + 4*s = 15, j*v - 5*s + 23 = 2*v for v.
1
Let k be (1 - 1)/(-9 + 10). Suppose 4*i + m - 9 = k, m - 5 = i - 3*i. Solve c = 3*b - 4, -3*c = -i*b + 3*b + 12 for c.
-4
Let y(p) = -p + 2. Let a(j) = -j**3 - 5*j**2 - 2*j + 7. Let h be a(-5). Suppose h*f = 14*f. Let u be y(f). Solve -u*x = 5*g - 17, -2*g + 0*g = 3*x - 9 for x.
1
Let m(n) = -n**3 + 12*n**2 + 15*n - 23. Let t be m(13). Solve 3*p = -i - 4, -16*p - t = -2*i - 11*p for i.
-1
Let w = 25 - 62. Let f = -37 - w. Solve 4*s - 6 = -3*r + 17, -4*s - r + 13 = f for s.
2
Let d = 25 + -21. Suppose d*y + y = 125. Solve 3*q - 15 = -0, 4*q = u + y for u.
-5
Let z be 184/18 - (1 - (-21)/(-27)). Suppose -5*b = -z, 0 = -d + b + b + 1. Solve -5*i - 1 = -3*x, 0 = -d*x - 17 + 2 for i.
-2
Suppose 3*b + 3*a = 66, -3*b + 4*b - a - 12 = 0. Let s(m) = m - 14. Let p = 17 - 1. Let q be s(p). Solve 3*x = 2*h - 4, 3*h + q*x = 2 + b for h.
5
Let f(h) = h**3 + h**2 - h. Let m be f(-1). Suppose 0 = 2*u - 5 - m. Suppose 18 - 78 = -3*l. Solve 0 = -u*c - 9, o - l = 2*o + 5*c for o.
-5
Let s be -6 - (63/(-9) - 3). Solve 2*x - s*n - 2 = 0, 4*x - 4*n + n = 9 for x.
3
Let r be 3*(-1 - -4)/3. Solve -r*h - 3 - 7 = -f, 8 = 2*h + 3*f for h.
-2
Let l be (-4)/4*(13 + 1/1). Let x = 18 + l. Solve -x = n, -n - 20 = -c + 4*n for c.
0
Suppose -3*s - s + 228 = 0. Suppose s + 3 = 5*p. Solve -a + 8 = 5*t, 3*a - 2*t + 5*t - p = 0 for a.
3
Let i = 318 + -219. Let x = i + -94. Let a(p) = 3*p - 1. Let f be a(1). Solve f*d = -g + 3*g, -4*d = -x*g - 4 for d.
-4
Let f be (-4)/(-10) + 96/60. Suppose p + f = 4. Solve 5*a + 16 = -q, q = a + p*q for a.
-4
Let b = 7 + -5. Let j be (-4)/6 - b/6. Let z be 1 - j - (-1 - -1). Solve v = -m + z, -2*v - 2*v = -2*m + 10 for m.
3
Let i be -3 - -6 - (0 + 1). Suppose -v - 4 = -y - i*y, -5*v - 20 = 4*y. Solve -2 = 4*t + 4*n + 34, -n - 4 = y for t.
-5
Suppose 0 = 8*c - 5*c - 9. Suppose 3*o - 4*o + c = 0. Solve 3*t + o = -i + 4, -3*t + 5 = 5*i for t.
0
Let h be -3 + 2 + 1 + -12. Let u(c) = -4*c - 41. Let d be u(h). Solve -a = 3*p - d + 23, 0 = 2*a + 8 for p.
-4
Suppose 2*p + 6 = 2*u, 0*p + 2*p + u = 6. Let i(o) = o - 4. Let n be i(6). Let z be ((-2 + n)*p)/2. Solve -6 = -h - 5*m, z*m + 2 = h + m for h.
1
Let f be 2/(-6) - 938/(-402). Solve 0 = f*s + u - 3, 0 = -17*s + 14*s - 5*u + 8 for s.
1
Suppose 0*o = -4*o - 104. Let p = -21 - o. Solve -2*f + 0*f + 2*m = -6, -3*f + 2*m = -p for f.
-1
Let a be 2/18 + (-52)/(-18). Suppose 7 = -4*i + 5*o, -i - o - a = -4*i. Solve -8 = 4*y - 2*n, 8 = -i*y - 2*y + 3*n for y.
-2
Let b be (2*-4 - 1)/(3/2). Let q be b/2 - (2 - (-1 - -6)). Solve q = -4*o + w - 6, 2*o + 10 = 3*w + 2 for o.
-1
Let l(w) = w - 5. Let k be l(-6). Let v = k - -14. Suppose 5*x - 97 = v. Solve -8 = 2*f, d - 2*d + 4*f = -x for d.
4
Let r be 134/9 + 1/9. Let l = r + -12. Solve 2*y - 2*f - 4 = 0, 0 = -4*y + l*f - f + 2 for y.
-1
Let d = -13 + -2. Let j be (-4)/6*828/(-24). Let u = d + j. Solve 16 = -4*v + b, b = 3*v - u*v - 29 for v.
-5
Let r = -16 - -6. Let m = r + 22. Let h = -6 + m. Solve -2*b = o + 3, h*o = 2*o - 4*b - 16 for o.
-5
Suppose -4*h - 10 + 32 = 5*r, 0 = -2*r + 5*h - 11. Solve -r*u = 2*o, o - 8 = u - 0*o for u.
-4
Let z be (2/3)/((-38)/(-285)) + -3. Solve -z - 1 = -3*g - 3*i, -3*i + 11 = 5*g for g.
4
Let m(d) = d**2 - 10*d + 11. Suppose 27 = 2*f - 4*g - 3, -36 = -3*f + 3*g. Let c be m(f). Solve -8*a + 4*a + 8 = 0, 0 = 4*z - 5*a + c for z.
2
Suppose n = -n + 16. Suppose -n*k = -7*k. Solve 3*m + 1 = 2*b, -m + k*b + 2*b - 3 = 0 for m.
1
Let o = 12 + -14. Let h be o + (1/2 - -2)*2. Solve -h*a - w = 0, -2*a + 5*w = w for a.
0
Let s be (-1 - (3 - 1))*5/1. Let z(k) = k + 18. Let x be z(s). Solve x*u - 15 = 3*p, 4*p + 4*u = -8 - 4 for p.
-4
Let i = 16 + -13. Suppose 0 = i*f - 2*f. Suppose f = -2*u - 1 + 5. Solve -3*w + 0*w - 5*g = -11, -w + u*g = 11 for w.
-3
Let o(p) = p**3 - 2*p**2 + 3*p + 2. Let k(j) = -j**3 + j**2 - j - 1. Let r(n) = 2*k(n) + o(n). Let t be r(0). Solve 3 = -2*v -
|
{
"pile_set_name": "DM Mathematics"
}
|
when four letters picked without replacement from {r: 3, f: 8}?
14/55
What is prob of picking 1 c and 1 a when two letters picked without replacement from bcca?
1/3
Two letters picked without replacement from mwrncnrvcvcmmvnnvcmr. Give prob of picking 1 n and 1 w.
2/95
Three letters picked without replacement from zhzbzzzhzzhhb. Give prob of picking 1 z and 2 b.
7/286
Calculate prob of picking 2 o and 1 n when three letters picked without replacement from {b: 3, t: 3, z: 1, x: 1, n: 7, o: 2}.
7/680
Two letters picked without replacement from {s: 2, b: 9, i: 3, u: 4}. Give prob of picking 2 s.
1/153
What is prob of picking 1 u and 1 i when two letters picked without replacement from umujicbci?
1/9
Four letters picked without replacement from kkkrwwkwkr. What is prob of picking 1 k and 3 w?
1/42
What is prob of picking 1 g, 1 h, 1 q, and 1 s when four letters picked without replacement from {h: 1, j: 1, c: 1, g: 1, s: 1, q: 2}?
2/35
What is prob of picking 2 l and 2 w when four letters picked without replacement from {w: 7, l: 5}?
14/33
Calculate prob of picking 1 v, 1 s, and 2 d when four letters picked without replacement from {s: 8, v: 2, d: 7, p: 2}.
28/323
Four letters picked without replacement from {n: 4, z: 1, j: 1, b: 2}. What is prob of picking 1 z, 1 n, 1 j, and 1 b?
4/35
What is prob of picking 1 g and 1 j when two letters picked without replacement from {g: 3, f: 3, n: 1, j: 1, k: 3}?
3/55
Calculate prob of picking 1 d and 2 f when three letters picked without replacement from {z: 3, k: 5, c: 1, f: 2, d: 6}.
3/340
Calculate prob of picking 2 o when two letters picked without replacement from {c: 15, o: 3}.
1/51
Four letters picked without replacement from lrlrll. Give prob of picking 2 r and 2 l.
2/5
Calculate prob of picking 2 i when two letters picked without replacement from iiiiiii.
1
Calculate prob of picking 1 x, 1 g, and 1 e when three letters picked without replacement from gkwex.
1/10
Three letters picked without replacement from {r: 8, c: 4, o: 2, x: 1}. What is prob of picking 1 c, 1 r, and 1 o?
64/455
Three letters picked without replacement from ziiiiiunzzzzizizii. What is prob of picking 1 u and 2 i?
3/68
What is prob of picking 2 g when two letters picked without replacement from {u: 7, o: 2, g: 7, y: 2}?
7/51
Calculate prob of picking 3 c and 1 p when four letters picked without replacement from {p: 9, c: 10}.
90/323
Four letters picked without replacement from wbbffxbwwwwbbwwwwb. Give prob of picking 1 w, 2 b, and 1 x.
3/68
Two letters picked without replacement from {r: 1, f: 1, c: 1, d: 4, z: 1}. What is prob of picking 1 r and 1 z?
1/28
Three letters picked without replacement from bmbbbuummbumbub. What is prob of picking 2 m and 1 u?
24/455
Three letters picked without replacement from {b: 4, d: 2}. What is prob of picking 1 b and 2 d?
1/5
Two letters picked without replacement from oorostprptnprptornrp. What is prob of picking 1 r and 1 s?
1/38
Three letters picked without replacement from {j: 1, h: 3, l: 3, o: 1, b: 1, p: 2}. Give prob of picking 1 h, 1 b, and 1 j.
1/55
What is prob of picking 2 o when two letters picked without replacement from omoofoooo?
7/12
What is prob of picking 1 b, 1 r, and 1 v when three letters picked without replacement from bbrrrrbbrrbvrbrrbrb?
80/969
What is prob of picking 2 q when two letters picked without replacement from eqqgq?
3/10
Calculate prob of picking 2 d when two letters picked without replacement from {m: 7, d: 4}.
6/55
Calculate prob of picking 1 j and 1 z when two letters picked without replacement from zjzjzzhjthhz.
5/22
Two letters picked without replacement from nqzzdnoqdqqizid. What is prob of picking 2 z?
1/35
Four letters picked without replacement from {b: 1, i: 1, d: 4, l: 11, s: 2}. What is prob of picking 1 d, 2 s, and 1 l?
11/969
Four letters picked without replacement from iiwisiiiiiiiwiw. What is prob of picking 3 w and 1 i?
11/1365
What is prob of picking 1 j and 1 s when two letters picked without replacement from {s: 2, x: 2, j: 2, b: 2}?
1/7
Calculate prob of picking 2 l when two letters picked without replacement from bllollollblbobo.
1/5
Two letters picked without replacement from ykykkck. Give prob of picking 1 k and 1 y.
8/21
Calculate prob of picking 3 z when three letters picked without replacement from {b: 4, c: 1, g: 2, y: 3, z: 4}.
1/91
Calculate prob of picking 2 s and 1 b when three letters picked without replacement from {p: 1, b: 3, z: 1, s: 7}.
63/220
Three letters picked without replacement from adqqkqakjk. Give prob of picking 1 a and 2 k.
1/20
Two letters picked without replacement from {j: 2, s: 1, t: 2, u: 1}. Give prob of picking 1 s and 1 j.
2/15
Two letters picked without replacement from {a: 5, w: 7, r: 2}. Give prob of picking 1 r and 1 w.
2/13
Two letters picked without replacement from vvvthvthvh. Give prob of picking 2 v.
2/9
Two letters picked without replacement from qwbsbssqsj. Give prob of picking 1 b and 1 w.
2/45
Two letters picked without replacement from {g: 2, w: 2, u: 2, h: 1, z: 1, y: 1}. Give prob of picking 1 y and 1 g.
1/18
Four letters picked without replacement from {m: 3, h: 1, b: 3, y: 3}. Give prob of picking 1 y and 3 m.
1/70
What is prob of picking 1 p, 1 k, and 1 a when three letters picked without replacement from {a: 2, p: 1, c: 1, k: 1, y: 1, v: 1}?
2/35
What is prob of picking 3 z and 1 r when four letters picked without replacement from {z: 5, s: 4, r: 2}?
2/33
Calculate prob of picking 1 w and 1 u when two letters picked without replacement from {e: 1, f: 1, h: 1, u: 1, w: 1}.
1/10
What is prob of picking 3 b when three letters picked without replacement from {b: 3}?
1
Two letters picked without replacement from {d: 2, f: 11}. Give prob of picking 2 f.
55/78
What is prob of picking 2 w when two letters picked without replacement from aaaaaaaawaawwa?
3/91
Calculate prob of picking 1 u and 1 f when two letters picked without replacement from qfluqqi.
1/21
What is prob of picking 1 z, 2 x, and 1 c when four letters picked without replacement from {o: 1, l: 5, p: 3, c: 1, z: 3, x: 2}?
1/455
Three letters picked without replacement from {a: 6, d: 2}. What is prob of picking 3 a?
5/14
Three letters picked without replacement from ajabjjbbbg. Give prob of picking 2 b and 1 g.
1/20
Calculate prob of picking 1 m and 1 l when two letters picked without replacement from {l: 2, y: 3, m: 3}.
3/14
What is prob of picking 1 i, 1 f, 1 m, and 1 d when four letters picked without replacement from fmmfgiidv?
4/63
Two letters picked without replacement from dgligggl. Give prob of picking 2 g.
3/14
What is prob of picking 2 p, 1 j, and 1 d when four letters picked without replacement from {p: 3, m: 2, j: 1, d: 1}?
3/35
Two letters picked without replacement from xxdxdxxxx. Give prob of picking 2 x.
7/12
Three letters picked without replacement from guupguuuuugigpusgggg. What is prob of picking 3 g?
14/285
Four letters picked without replacement from {t: 1, g: 2, n: 2, e: 1, u: 4}. Give prob of picking 2 n and 2 u.
1/35
Calculate prob of picking 1 x and 1 c when two letters picked without replacement from cxccccxcccxxx.
20/39
Two letters picked without replacement from ndqn. Give prob of picking 1 n and 1 d.
1/3
Calculate prob of picking 1 l and 1 d when two letters picked without replacement from dmadddqlal.
8/45
Three letters picked without replacement from kekkkkeekkk. What is prob of picking 2 k and 1 e?
28/55
Calculate prob of picking 4 s when four letters picked without replacement from {b: 5, s: 4, g: 2}.
1/330
What is prob of picking 1 q, 1 t, and 2 u when four letters picked without replacement from uuuuottutouoquouf?
3/85
Four letters picked without replacement from {l: 5, k: 3, w: 1, g: 3}. Give prob of picking 2 g, 1 k, and 1 w.
1/55
What is prob of picking 2 v when two letters picked without replacement from {i: 3, u: 2, p: 3, b: 2, c: 1, v: 1}?
0
Four letters picked without replacement from {u: 4}. Give prob of picking 4 u.
1
Calculate prob of picking 1 y, 1 u, and 2 p when four letters picked without replacement from uuypuqqpywuwyy.
16/1001
Calculate prob of picking 2 h, 1 s, and 1 q when four letters picked without replacement from qqqllhlqqsbmmmmmhh.
1/204
Two letters picked without replacemen
|
{
"pile_set_name": "DM Mathematics"
}
|
470642?
False
Is 19839202 a multiple of 260?
False
Does 3 divide 82021?
False
Is 23040 a multiple of 10?
True
Does 16 divide 7461440?
True
Does 22 divide 806748?
False
Is 70278 a multiple of 422?
False
Is 27 a factor of 1589274?
True
Does 190 divide 152051?
False
Does 11 divide 3909723?
False
Is 85 a factor of 13457514?
False
Is 8 a factor of 96621?
False
Is 952 a multiple of 4?
True
Is 54252 a multiple of 2?
True
Is 4834567 a multiple of 1365?
False
Does 65 divide 1761760?
True
Is 855535 a multiple of 431?
True
Is 2772247 a multiple of 55?
False
Does 36 divide 113796?
True
Is 4 a factor of 409396?
True
Is 332520 a multiple of 102?
True
Does 73 divide 349524?
True
Is 1795119 a multiple of 489?
True
Does 403 divide 1286376?
True
Does 23 divide 586408?
True
Is 2290662 a multiple of 13?
False
Is 1124 a factor of 16454827?
False
Is 359 a factor of 785492?
True
Is 64960 a multiple of 20?
True
Does 245 divide 14524676?
False
Is 206281 a multiple of 235?
False
Does 49 divide 648796?
False
Is 54 a factor of 168480?
True
Is 64 a factor of 1956618?
False
Is 346 a factor of 455682?
True
Does 35 divide 5703425?
True
Is 103955 a multiple of 17?
True
Is 699639 a multiple of 4?
False
Is 1150501 a multiple of 240?
False
Is 627 a factor of 4471663?
False
Does 18 divide 74782?
False
Does 170 divide 2383857?
False
Is 164 a factor of 102636?
False
Does 416 divide 2993609?
False
Is 472163 even?
False
Does 219 divide 8913957?
True
Is 175521 a multiple of 123?
True
Is 33338 a multiple of 158?
True
Does 88 divide 2009157?
False
Is 8111320 a multiple of 59?
True
Does 197 divide 3493992?
True
Does 5 divide 599455?
True
Is 3245161 a multiple of 283?
True
Is 128 a factor of 403712?
True
Is 113 a factor of 899509?
False
Is 9948605 a multiple of 1033?
False
Is 2299992 a multiple of 24?
True
Does 64 divide 229568?
True
Does 10 divide 168279?
False
Is 137624 a multiple of 11?
False
Is 15 a factor of 2062127?
False
Does 401 divide 188069?
True
Is 150533 even?
False
Is 5 a factor of 670993?
False
Does 11 divide 3845486?
False
Is 141491 a multiple of 203?
True
Does 375 divide 18744750?
True
Does 11 divide 154110?
True
Is 1256969 a multiple of 298?
False
Is 636 a factor of 15668496?
True
Does 30 divide 384360?
True
Does 67 divide 44622?
True
Does 16 divide 335306?
False
Is 479374 a multiple of 706?
True
Is 17 a factor of 55764?
False
Is 62 a factor of 133796?
True
Is 149994 a multiple of 36?
False
Is 157 a factor of 362668?
False
Is 473 a factor of 2768376?
False
Is 29918179 a multiple of 274?
False
Is 21 a factor of 1169047?
False
Does 36 divide 19391004?
True
Is 194886 a multiple of 178?
False
Is 323 a factor of 1106598?
True
Is 7149909 a multiple of 767?
False
Does 31 divide 6237126?
False
Is 2467881 a multiple of 27?
True
Is 10 a factor of 507580?
True
Is 3546315 a multiple of 327?
True
Is 23265 a multiple of 165?
True
Does 50 divide 4672032?
False
Does 1393 divide 5144455?
False
Does 98 divide 67098?
False
Is 3827725 a multiple of 11?
True
Is 16230 a multiple of 30?
True
Is 118515 a multiple of 58?
False
Is 15161 a multiple of 25?
False
Does 10 divide 1158859?
False
Is 208 a factor of 131388?
False
Is 38 a factor of 723368?
True
Is 11 a factor of 564652?
True
Does 175 divide 837725?
True
Is 72 a factor of 51840?
True
Is 5 a factor of 18075?
True
Is 259 a factor of 1578605?
True
Does 205 divide 184748?
False
Is 97 a factor of 156461?
True
Is 1609 a factor of 20337760?
True
Is 32 a factor of 8192?
True
Is 171 a factor of 4415532?
False
Does 47 divide 3167706?
True
Is 21 a factor of 3257456?
False
Is 777 a factor of 9972018?
True
Does 13 divide 1840982?
True
Is 25 a factor of 12337025?
True
Is 23622 a multiple of 170?
False
Is 593924 a multiple of 7?
False
Is 86 a factor of 45752?
True
Does 82 divide 8906613?
False
Is 439620 a multiple of 510?
True
Is 64 a factor of 8316?
False
Is 19815 a multiple of 9?
False
Does 193 divide 410125?
True
Does 19 divide 180728?
True
Is 42 a factor of 1220982?
True
Is 1463160 a multiple of 24?
True
Is 60 a factor of 56284?
False
Is 9 a factor of 48951?
True
Is 527806 a multiple of 24?
False
Is 658240 a multiple of 340?
True
Is 229 a factor of 1287209?
True
Is 9 a factor of 61065?
True
Does 5 divide 115160?
True
Is 44208 a multiple of 36?
True
Does 16 divide 21488?
True
Is 12 a factor of 338340?
True
Is 373 a factor of 3977299?
True
Does 23 divide 184544?
False
Does 19 divide 1110683?
True
Is 7 a factor of 402097?
False
Is 171 a factor of 63783?
True
Does 106 divide 145688?
False
Is 329 a factor of 129311?
False
Is 6301056 a multiple of 488?
True
Is 31568046 a multiple of 2575?
False
Is 14 a factor of 206742?
False
Does 11 divide 162481?
True
Is 57 a factor of 8241219?
False
Is 318 a factor of 154528?
False
Is 15299 a multiple of 14?
False
Is 15 a factor of 43335?
True
Is 214 a factor of 1510840?
True
Is 15 a factor of 4124100?
True
Does 6 divide 82980?
True
Does 433 divide 413034?
False
Is 9 a factor of 3207123?
True
Is 93 a factor of 474940?
False
Is 12397683 a multiple of 198?
False
Does 25 divide 400425?
True
Does 591 divide 1780817?
False
Is 152525 a multiple of 45?
False
Is 14 a factor of 947288?
False
Does 13 divide 2701112?
False
Does 31 divide 8193?
False
Is 717 a factor of 15733131?
True
Does 3 divide 1890831?
True
Is 363 a factor of 936233?
False
Does 14 divide 1705449?
False
Does 19 divide 1059820?
True
Is 28581252 a multiple of 59?
True
Is 148488 a multiple of 14?
False
Does 29 divide 1267938?
True
Is 394 a factor of 10929954?
True
Does 8 divide 33184?
True
Does 41 divide 2999232?
True
Is 838936 a multiple of 497?
True
Is 2 a factor of 252817?
False
Is 7575 a multiple of 303?
True
Is 101 a factor of 4067085?
False
Is 3664 a multiple of 16?
True
Does 18 divide 12816?
True
Is 215215 a multiple of 7?
True
Is 28 a factor of 3575597?
False
Is 38654128 a multiple of 38?
False
Does 37 divide 13653?
True
Is 11 a factor of 48473?
False
Is 197775 a multiple of 7?
False
Is 75056 a multiple of 309?
False
Is 130 a factor of 34710?
True
Does 311 divide 12499090?
True
Is 507 a factor of 2151708?
True
Does 88 divide 89746?
False
Is 27 a factor of 8296?
False
Does 652 divide 387298?
False
Does 35 divide 1534015?
True
Is 17 a factor of 1954932?
True
Is 557450 a multiple of 50?
True
Is 22768 a multiple of 4?
True
Does 208 divide 21424?
True
Is 297709 a multiple of 82?
False
Is 200834 a multiple of 58?
False
Is 4062229 a multiple of 7?
False
Is 647 a factor of 11318618?
True
Is 2440838 a multiple of 17?
False
Is 66 a factor of 11674?
False
Is 36 a factor of 14980870?
False
Does 23 divide 75302?
True
Is 8336 a multiple of 19?
False
Does 6 divide 82320?
True
Is 869549 a multiple of 10?
False
Does 10 divide 169400?
True
Is 2264864 a multiple of 273?
False
Is 875476 a multiple of 27?
False
Does 390 divide 1535696?
False
Does 275 divide 132000?
True
Does 1187 divide 4673219?
True
Is 29171 a multiple of 14?
False
Is 235368 a multiple of 168?
True
Does 92 divide 562034?
False
Is 15962 a multiple of 23?
True
Does 14 divide 864122?
True
Does 798 divide 1172270?
False
Is 964774 a multiple of 11?
False
Is 121992 a multiple of 12?
True
Does 28 divide 2363749?
False
Does 25 divide 1271227?
False
Does 11 divide 21924?
False
Is 9634933 a multiple of 11?
True
Is 226687 a multiple of 91?
False
Does 314 divide 157628?
True
Is 16 a factor of 179872?
True
Is 21 a factor of 19550142?
False
Is 753301 a multiple of 12?
False
Does 95 divide 23417310?
True
Is 53 a factor of 14416?
True
Is 219 a factor of 294337?
False
Does 40 divide 114922?
False
Is 466 a factor of 5027674?
True
Does 245 divide 380240?
True
Does 16 divide 2898471?
False
Does 5 divide 53765?
True
Does 44 divide 34630?
False
Is 273 a factor of 107155?
False
Does 331 divide 247588?
True
Is 63654 a multiple of 206?
True
Does 5 divide 38770?
True
Is 11 a factor of 711218?
False
Is 8449680 a multiple of 190?
True
Is 3 a factor of 55715?
False
Is 16249546 a multiple of 23?
True
Is 46 a factor of 21514?
False
Is 14130378 a multiple of 244?
False
Is 2013540 a multiple of 185?
True
Is 16 a factor of 8394032?
True
Does 46 divide 140116?
True
Is 78 a factor of 112022?
False
Does 1251 divide 7952607?
True
Does 8 divide 2777501?
False
Is 7071911 a multiple of 29?
True
Is 3504818 a multiple of 30?
False
Is 16606752 a mul
|
{
"pile_set_name": "DM Mathematics"
}
|
241
List the prime factors of 888708358.
2, 2239, 198461
List the prime factors of 700656031.
700656031
List the prime factors of 1156154741.
7, 165164963
List the prime factors of 30414526.
2, 79, 192497
List the prime factors of 678903407.
7, 13, 7460477
What are the prime factors of 1165252216?
2, 17, 19, 450949
What are the prime factors of 183674529?
3, 431, 47351
What are the prime factors of 102071092?
2, 113, 225821
List the prime factors of 50192671.
719, 69809
What are the prime factors of 5036508686?
2, 11, 59, 3880207
List the prime factors of 186140386.
2, 29, 3209317
What are the prime factors of 1369005231?
3, 11, 41485007
What are the prime factors of 70179593?
11, 6379963
List the prime factors of 742840755.
3, 5, 17, 31, 93971
What are the prime factors of 1603872447?
3, 173, 3090313
List the prime factors of 60729861.
3, 20243287
List the prime factors of 50549140.
2, 5, 2527457
What are the prime factors of 7083331?
7083331
List the prime factors of 180871577.
31, 37, 71, 2221
What are the prime factors of 1021559768?
2, 97, 103, 12781
What are the prime factors of 233899095?
3, 5, 103, 151391
List the prime factors of 6793699008.
2, 3, 463, 76423
What are the prime factors of 300655783?
2477, 121379
What are the prime factors of 1354438454?
2, 761, 889907
What are the prime factors of 719986118?
2, 359993059
What are the prime factors of 2498213640?
2, 3, 5, 13, 41, 139, 281
What are the prime factors of 50864620?
2, 5, 181, 14051
List the prime factors of 209356825.
5, 197, 42509
List the prime factors of 203376824.
2, 7, 3631729
List the prime factors of 34426177.
449, 76673
List the prime factors of 1645932550.
2, 5, 181, 181871
What are the prime factors of 68826513?
3, 7, 1481, 2213
What are the prime factors of 286764045?
3, 5, 41, 466283
What are the prime factors of 4018758248?
2, 17, 19, 1555247
What are the prime factors of 22955583?
3, 7, 79, 101, 137
List the prime factors of 942167778.
2, 3, 17, 37, 249647
List the prime factors of 7072146769.
19, 1531, 243121
List the prime factors of 109901031.
3, 3533, 10369
List the prime factors of 12589819.
11, 1144529
What are the prime factors of 10207502?
2, 5103751
What are the prime factors of 64503912?
2, 3, 11, 244333
List the prime factors of 32801328.
2, 3, 7, 10847
List the prime factors of 56413322.
2, 7, 59, 163, 419
What are the prime factors of 419599436?
2, 104899859
List the prime factors of 212203212.
2, 3, 13, 1360277
List the prime factors of 36000657.
3, 7, 11, 51949
List the prime factors of 36054505.
5, 7210901
What are the prime factors of 60577378?
2, 30288689
List the prime factors of 200821072.
2, 12551317
What are the prime factors of 86462636?
2, 13, 37, 44939
List the prime factors of 1729644785.
5, 11, 277, 10321
List the prime factors of 20958898.
2, 47, 222967
List the prime factors of 344796320.
2, 5, 11, 195907
What are the prime factors of 188557683?
3, 109, 191, 3019
What are the prime factors of 203135479?
19, 3181, 3361
What are the prime factors of 554919473?
12953, 42841
List the prime factors of 26300843.
59, 223, 1999
List the prime factors of 9453393.
3, 19, 59, 937
List the prime factors of 5327423112.
2, 3, 11, 131, 154043
What are the prime factors of 52235493?
3, 113, 154087
List the prime factors of 250155693.
3, 59, 61, 7723
List the prime factors of 13370768.
2, 835673
What are the prime factors of 279726146?
2, 7, 1747, 11437
What are the prime factors of 488101646?
2, 191, 1277753
List the prime factors of 114717981.
3, 7, 181, 30181
List the prime factors of 24758816.
2, 773713
What are the prime factors of 35517383?
11, 47, 68699
What are the prime factors of 6372010183?
7, 11, 19, 23, 409, 463
What are the prime factors of 5056984927?
113, 44752079
What are the prime factors of 640651829?
61, 10502489
What are the prime factors of 2086462311?
3, 695487437
What are the prime factors of 130628009?
41, 127, 25087
What are the prime factors of 7191415?
5, 7, 11, 18679
List the prime factors of 839758724.
2, 7, 17, 1764199
List the prime factors of 78612311.
31, 2535881
List the prime factors of 5744649803.
89, 229, 3167
What are the prime factors of 102209324?
2, 7, 3650333
List the prime factors of 3509220.
2, 3, 5, 11, 13, 409
List the prime factors of 305738631.
3, 11, 343141
List the prime factors of 100402612.
2, 17, 19, 77711
What are the prime factors of 11526810?
2, 3, 5, 384227
List the prime factors of 269752660.
2, 5, 13487633
List the prime factors of 899799608.
2, 112474951
What are the prime factors of 16329092?
2, 13, 314021
What are the prime factors of 121409827?
7, 11, 83, 157
What are the prime factors of 17493067?
17493067
What are the prime factors of 15564525?
3, 5, 139, 1493
List the prime factors of 312426149.
7, 53, 191, 4409
What are the prime factors of 65707272?
2, 3, 29, 31469
What are the prime factors of 7071479081?
1129, 6263489
What are the prime factors of 365954757?
3, 7, 59, 295363
List the prime factors of 58342849.
3821, 15269
List the prime factors of 670908025.
5, 337, 79633
What are the prime factors of 24003166?
2, 11, 1091053
List the prime factors of 15721878.
2, 3, 2620313
List the prime factors of 102631720.
2, 5, 17, 150929
List the prime factors of 121817376.
2, 3, 17, 139, 179
What are the prime factors of 727256514?
2, 3, 73, 503, 3301
List the prime factors of 194976445.
5, 47, 829687
List the prime factors of 37112066.
2, 809, 22937
List the prime factors of 3764135993.
3764135993
What are the prime factors of 870611000?
2, 5, 7, 277, 449
What are the prime factors of 4841970412?
2, 19, 63710137
List the prime factors of 441794462.
2, 220897231
What are the prime factors of 786151182?
2, 3, 19, 6896063
What are the prime factors of 3563688?
2, 3, 83, 1789
List the prime factors of 52498819.
37, 41, 34607
List the prime factors of 2288190251.
163, 359, 39103
What are the prime factors of 8885862?
2, 3, 54851
What are the prime factors of 54404238?
2, 3, 7, 1295339
List the prime factors of 56164997.
7, 541, 14831
What are the prime factors of 2692160597?
7, 19, 2891687
What are the prime factors of 4592677314?
2, 3, 765446219
What are the prime factors of 455667962?
2, 9679, 23539
List the prime factors of 61241201.
7, 8748743
What are the prime factors of 2653048397?
20533, 129209
List the prime factors of 498491430.
2, 3, 5, 16616381
What are the prime factors of 778323338?
2, 13, 53, 10657
List the prime factors of 11969818.
2, 7, 67, 1823
What are the prime factors of 600013721?
41, 14634481
List the prime factors of 424562653.
424562653
What are the prime factors of 54443016?
2, 3, 84017
What are the prime factors of 7720364255?
5, 1544072851
List the prime factors of 4418744836.
2, 11, 31, 3239549
List the prime factors of 658500313.
79, 8335447
List the prime factors of 2993745202.
2, 7, 213838943
What are the prime factors of 213286981?
17, 23, 37, 641
What are the prime factors of 125781003?
3, 617, 22651
List the prime factors of 43564314.
2, 3, 7260719
List the prime factors of 56602246.
2, 2273, 12451
What are the prime factors of 241809?
3, 80603
List the prime factors of 63060591.
3, 11, 1910927
What are the prime factors of 2327456832?
2, 3, 19, 137, 4657
List the prime factors of 19806634.
2, 23, 430579
List the prime factors of 43027653.
3, 347, 41333
List the prime factors of 97333131.
3, 7, 131, 35381
What are the prime factors of 360264324?
2, 3, 7, 349, 12289
What are the prime factors of 31119368?
2, 7, 23, 37, 653
List the prime factors of 1166044083.
3, 1097, 354313
What are the prime factors of 457722871?
71, 6446801
What are the prime factors of 938842137?
3, 34771931
List the prime factors of 21806303.
163, 133781
What are the prime factors of 309225?
3, 5, 7, 19, 31
What are the prime factors of 199699342?
2, 5581, 17891
List the prime factors of 278494638.
2, 3, 31, 1497283
What are the prime factors of 65032319?
11, 5912029
What are the prime factors of 340464840?
2, 3, 5, 1213, 2339
List the prime factors of 118706767.
17, 37, 41, 4603
What are the prime factors of 1617238728?
2, 3, 7, 458401
What are the prime factors of 462356444?
2, 11, 31, 419, 809
List the prime factors of 11629785.
3, 5, 17, 59, 773
What are the prime factors of
|
{
"pile_set_name": "DM Mathematics"
}
|
at is the fourth smallest value in -0.6, 10, 0.3, 7?
10
What is the second biggest value in 2, 4, 40, -0.01, -5?
4
What is the smallest value in 33.1, -0.3, -1/9, 1, 0?
-0.3
Which is the smallest value? (a) 0.002 (b) -0.5 (c) -0.08
b
What is the second smallest value in -1/11, 3, 6?
3
What is the second smallest value in 1163, 0.2, -5?
0.2
What is the fourth smallest value in 5/6, -0.1, 2, -0.2?
2
What is the smallest value in 41, 4/3, 3/4?
3/4
What is the third smallest value in 0.4, -1/6, 6?
6
Which is the fourth smallest value? (a) 0.5 (b) -0.6 (c) -0.3 (d) 7
d
Which is the third smallest value? (a) 0.05 (b) -27 (c) -2/17 (d) 0.5 (e) 3/5
a
Which is the smallest value? (a) -2 (b) -3/4 (c) -0.0794 (d) 5/3
a
Which is the biggest value? (a) 0.14 (b) -3 (c) -7 (d) -0.01
a
What is the third biggest value in 2/135, -5, -0.04?
-5
Which is the biggest value? (a) -0.5 (b) -2/15 (c) 1 (d) 0 (e) -4
c
Which is the second smallest value? (a) -1/5 (b) -3/5 (c) -3 (d) -1/2 (e) 4/3
b
Which is the biggest value? (a) 3.69 (b) -7 (c) 0
a
What is the third biggest value in 0.14, 3, 7/2, -0.8?
0.14
Which is the third smallest value? (a) -6 (b) 0.05 (c) 3 (d) -37 (e) 2
b
Which is the fourth smallest value? (a) 1 (b) 0 (c) -5 (d) 28/5
d
What is the second biggest value in -2/13, 0.05, -1/5, -0.4?
-2/13
Which is the smallest value? (a) -3 (b) 5 (c) -0.063
a
Which is the second biggest value? (a) -0.1 (b) 2/3 (c) 1/3 (d) 2
b
Which is the biggest value? (a) 6 (b) 19 (c) 0
b
What is the smallest value in -0.3, 0.1, 1.3?
-0.3
Which is the biggest value? (a) -0.12 (b) -5 (c) 21/2 (d) 0.4
c
Which is the third biggest value? (a) 6.1 (b) -9 (c) 13
b
What is the fourth smallest value in 0.1, -2, 4, 0.08?
4
Which is the fourth smallest value? (a) 5/4 (b) 44 (c) 0 (d) 7
b
Which is the second biggest value? (a) 0.51 (b) -0.09 (c) -0.5
b
What is the biggest value in -0.2, -1.3, 2, 0.1?
2
What is the fourth biggest value in -128, -4, 2/13, 3?
-128
What is the third biggest value in 0.16, -4, -2/9?
-4
What is the biggest value in 0.1, 1, 3, -0.4?
3
Which is the third smallest value? (a) 0.3 (b) -11 (c) -1.6 (d) -3/2
d
What is the smallest value in 30, -0.3, 18, 1/3?
-0.3
Which is the smallest value? (a) 3/4 (b) 2 (c) -1.7
c
What is the second smallest value in -4, 3, 3/5?
3/5
What is the smallest value in 2/5, -7, -2/11, -0.3?
-7
What is the third biggest value in 0.1, -5, -109/5?
-109/5
What is the biggest value in 4, -377, 2/5?
4
What is the fourth smallest value in 0.2, 78, 0.4, -4?
78
What is the second biggest value in -3/4, 1/5, 133, 0, -2/5?
1/5
Which is the second smallest value? (a) -0.4 (b) -2/13 (c) 7/25
b
What is the second biggest value in -0.05, -2/13, 2/11?
-0.05
What is the third smallest value in -10, 0.6, 0.4, 3?
0.6
What is the second biggest value in 0.3, -1/8, 1, -0.06?
0.3
What is the third smallest value in -3, 13, -0.5, 1.9?
1.9
Which is the second biggest value? (a) 5 (b) -56 (c) 2 (d) -1
c
What is the third biggest value in 2/29, -1, -4?
-4
Which is the third biggest value? (a) 5 (b) -1/6 (c) 252
b
Which is the biggest value? (a) 3 (b) -18 (c) 1/9 (d) 0.3
a
Which is the smallest value? (a) 3/2 (b) 0.4 (c) -67
c
What is the second biggest value in -5, 5, -2/4399, 0, -0.5?
0
What is the third smallest value in 3, -1/3, 31?
31
What is the biggest value in -0.2, 1.5, -0.5, 0.1?
1.5
What is the biggest value in -5, 55/3, -0.3, 0.4, -8?
55/3
Which is the smallest value? (a) -34 (b) -0.5 (c) -1/3
a
Which is the third biggest value? (a) -3 (b) -0.08 (c) 347
a
Which is the third biggest value? (a) 97 (b) -0.1 (c) -0.15
c
Which is the second biggest value? (a) 3 (b) -87 (c) -0.3 (d) -2/11
d
What is the biggest value in -0.62, -4, -0.1, 2/11?
2/11
Which is the smallest value? (a) 3 (b) 0.4 (c) 12 (d) 2/9
d
What is the smallest value in 17, -12, 9?
-12
Which is the third biggest value? (a) 0.5 (b) -3 (c) -19
c
Which is the third biggest value? (a) -0.6 (b) -4 (c) 32
b
Which is the third biggest value? (a) -5 (b) -0.21 (c) 1/6
a
What is the fifth smallest value in 1, -2, 3/80, 3, 2?
3
Which is the second biggest value? (a) -10 (b) -2/3 (c) -7
c
Which is the fourth smallest value? (a) 8/3 (b) 0.43 (c) 1/4 (d) 0.4
a
What is the biggest value in 0.03, -3, 5, -0.2, -4?
5
Which is the second smallest value? (a) -13/74 (b) -0.3 (c) 0
a
Which is the fourth biggest value? (a) 5/2 (b) 4 (c) 0.3 (d) 69 (e) 0.4
e
Which is the fourth biggest value? (a) 3 (b) -2/3 (c) 1 (d) 0.4
b
What is the biggest value in -0.4, 1/63, 0.42, 3/5?
3/5
Which is the third smallest value? (a) -2/7 (b) -258 (c) -2/3
a
What is the second smallest value in 0.5, -5, -1, -0.12?
-1
Which is the third smallest value? (a) 35 (b) 3/8 (c) 1/4 (d) -1/3 (e) -0.2
c
Which is the fourth smallest value? (a) 1 (b) -2/485 (c) 0 (d) -3/2
a
What is the smallest value in 72, 0.1, 2/17?
0.1
What is the second biggest value in -2/23, 3/2, -4/9, 1/5?
1/5
What is the third biggest value in 1/6, 0.2, -0.92?
-0.92
Which is the fifth biggest value? (a) 95 (b) -1 (c) 0.3 (d) -3 (e) 3
d
Which is the third biggest value? (a) -3 (b) 2 (c) -0.22 (d) -0.2 (e) -4
c
What is the fifth biggest value in -2/3, -0.052, -5, -0.3, 3/2?
-5
What is the fourth smallest value in -15, -7, -4, -2?
-2
Which is the fourth biggest value? (a) -0.3 (b) -2 (c) 3 (d) -5
d
Which is the second smallest value? (a) -24 (b) 1.3 (c) 0.1
c
Which is the second smallest value? (a) -0.4 (b) 1/4 (c) -5 (d) -20/23 (e) 0.5
d
What is the third smallest value in -2/7, -2/51, -1/12?
-2/51
Which is the biggest value? (a) -17 (b) -3 (c) 1 (d) -5
c
What is the fourth biggest value in 2, 0.07, 4/7, -1, -3?
-1
Which is the second smallest value? (a) -0.4 (b) 69 (c) 1.8
c
Which is the smallest value? (a) -0.1 (b) -2/11 (c) 3 (d) 2/9
b
What is the third smallest value in 0.1, 2.18, -5/3?
2.18
What is the smallest value in -0.1, 423, 3/8, -2/9?
-2/9
Which is the smallest value? (a) 0.08 (b) -0.1 (c) -2 (d) 33
c
Which is the fourth smallest value? (a) -1/22 (b) -5 (c) 1 (d) 27/2
d
What is the fourth smallest value in -0.2, 4, -6, -13?
4
Which is the second smallest value? (a) 2 (b) -1/8 (c) 4 (d) -86
b
Which is the third smallest value? (a) -3 (b) 6.8 (c) -2/23
b
What is the second biggest value in 42, 0.4, -0.5, -3/4?
0.4
What is the smallest value in -0.08, 0.11, 0, 0.5?
-0.08
Which is the smallest value? (a) 1.3 (b) -7 (c) 4 (d) -2
b
What is the smallest value in 1, 4, 1/2, -0.5?
-0.5
What is the smallest value in -3.5, 2, 1?
-3.5
What is the third smallest value in -3, 1/3, -1/3, 7?
1/3
What is the second biggest value in -16, -3, -1/7, 1/3?
-1/7
Which is the third smallest value? (a) -2/43 (b) 5 (c) -0.2 (d) 0.1 (e) -2
a
What is the second smallest value in -2/3, -0.2, -6, 0.41, 5?
-2/3
Which is the fourth biggest value? (a) -5 (b) -3/68 (c) -3 (d) 3 (e) -4
e
Which is the smallest value? (a) 1 (b) -2 (c) -110
c
Which is the fourth smallest value? (a) -12 (b) 5 (c) -2 (d) 0 (e) 2
e
Which is the third smallest value? (a) 5 (b) 2.8 (c) 0.05 (d) -0.3
b
What is the second smallest value in 0.05, 32/5, -2/25, -5?
-2/25
Which is the third smallest value? (a) 1 (b) 5 (c) 8/7
b
What is the fifth biggest value in 0, 0.1, 4, -5, -23/14?
-5
What is the second biggest value in 5, 0.5, 0.2, -2/9?
0.5
What is the third smallest value in 3/8, -0.01, 2?
2
Which is the second biggest value? (a) -6 (b) 0.176 (c) 2/11
b
What is the biggest value in -0.2, -4, -2/23, -1, 2/7?
2/7
What is the second biggest value in -3/7, 0.8, -5, 2/11?
2/11
What is the second biggest value in -2087, 0.2, 1?
0.2
What is the second smallest value in 3, -4, 0.2, 0.39?
0.2
What is the biggest value in 6, -1/4, -1, 0, -3/4?
6
What is the third biggest value in -1/4, 3/2, 1.81?
-1/4
Which is the smallest value? (a) 119 (b) 0.3 (c) -4 (d) 1/2
c
What is the fourth smallest value in 11, 4, -0.16, -3?
11
What is the second smallest value in 1, -1.9, 4?
1
What is the smallest value in -3, -2, -0.48, -2/9, -18?
-18
Which is the second biggest value? (a) -5 (b) -1 (c) 1/690
b
Which is the s
|
{
"pile_set_name": "DM Mathematics"
}
|
z.
-7
Suppose k + 13*r - 9*r = -3, -5*r = -k + 6. Let c = -36 + 40. Suppose -18 = u - c*u. Solve -v - u = -k for v.
-5
Suppose -208 = 2474*h - 2490*h. Solve 0 = -d - h*d + 56 for d.
4
Let q(h) = h**3 - 5*h + 2. Let o be q(0). Suppose 31*c - 60 = o. Solve -c*i = 8*i - 20 for i.
2
Let i = -32 + 37. Let a = -403 - -403. Solve -5*z - i = -a*z for z.
-1
Let i be (15/6 - 2)*40. Suppose -32*f = -28*f - 16. Let d be (-1 - (2 + -5)) + f + -2. Solve d*t - 8 = -i for t.
-3
Suppose -15*c - 8*c = -7*c - 288. Solve -38*l = -32*l - c for l.
3
Suppose 350 = 4*m - 82. Let d = m + -102. Solve -2 - d = -2*y for y.
4
Suppose 283*a - 5860 - 488 = -775*a. Let p(h) = h. Let d be p(3). Solve -a*y = 9 + d for y.
-2
Suppose -4*f = -8*f + 3*x + 934, -2*f + 2*x = -468. Let b = f + -228. Suppose -s - 3*m - 10 = 0, -5*s - 4*m - 3 - 3 = 0. Solve -6 = -s*g - b for g.
1
Let d = 1158 - 1150. Solve 0 = 4*m + d + 12 for m.
-5
Suppose -4*p + 5*p - 6 = 0. Let z be -6 + 3 + (-4 - -7). Suppose z*f = -2*f + p. Solve 5*b - 8 = -f for b.
1
Let q = -72 - -76. Suppose -q*v + 12*v = 24. Solve -v*x - 8 = 1 for x.
-3
Let v = -246 - -251. Suppose -5 = q - 2*r, -3*q - 4 = -v*r + 6. Solve 0 = 3*m + 2 - q for m.
1
Let r(g) = 66 + 4*g**3 + 4*g - 62 - 8*g**3. Let w be r(-1). Let f = -15 + 47. Solve -f = w*x - 12 for x.
-5
Suppose 30*b + 27 = 35*b + 4*l, -2*b - 2*l = -12. Let g be -7*(-8*b/6 + 3). Solve -8*i + g = -i for i.
1
Suppose 0 = -15*k - 104 - 346. Let q be (-112)/(-10) - (-6)/k. Solve -5 = 3*a - q for a.
2
Suppose -17*j + 20*j = -2*y - 13, -16 = -y + 3*j. Let n be (-87)/(-15) + -4 + y/5. Solve -n*a - 5*a + 14 = 0 for a.
2
Suppose -4*g - 16 = 0, -3*h + 13*g - 1988 = 15*g. Let n = h - -700. Solve 0*y - n = 8*y for y.
-5
Suppose -10 = 2*d, 2*t + 21 = 3*t + 5*d. Suppose -48 = -k - t. Solve 7*l - 16 = -k for l.
2
Let f be (6 - (-77)/(-14))/(3/30). Suppose -2*m + 7 = 2*b - m, f*b - 7 = m. Solve -b*v = 2*v for v.
0
Let q(v) = -10*v**2 - 211*v - 74. Let m be q(-20). Solve -47*f + m = -42 for f.
4
Let x = -1 - 23. Let w = 37 + x. Suppose 9*r + 16 = w*r. Solve 5*l - 6*l = r for l.
-4
Suppose -4*i + 3*m = -4, 0 = 3*i + m + m + 14. Let g = 4 + i. Let f(s) = -2*s**3 + 5*s**2 + 13*s - 28. Let p be f(3). Solve -8 - p = g*t for t.
-5
Suppose 2639 = 2*v - 5*k, 48*v - 45*v - 4046 = -5*k. Solve -1288 = 7*j - v for j.
7
Let s = -4 - -8. Suppose -s*t + 2 = 2*l - 4, 3*l = 4*t - 31. Let i = -4024 + 4024. Solve i*b + b = t for b.
4
Suppose 164*v - 218*v = 0. Solve v = -36*g + 276 - 96 for g.
5
Let o be 44/(-6) - -6 - 368/(-24). Solve -2*y - o*y + 32 = 0 for y.
2
Suppose 0 = 2*g + 2*w + 3*w + 7, 4*w = -12. Suppose 27 = 5*c - 3*s + 4, -s + 15 = 4*c. Suppose 2*m + z = 0, -5*m - c*z - 12 = -3*m. Solve -g = -m*b - 0*b for b.
2
Suppose -3*g - 10 - 6 = 5*v, -5*v - 12 = g. Let u be 0/(g/(-2)*1). Suppose 441*a - 609*a + 207 = -129. Solve u*x = a*x for x.
0
Let u(n) = 6*n - 322. Let f be u(54). Solve -f*a = -2*a + 2*a for a.
0
Let p(y) = 2*y**3 - 4*y + 9. Let x be (-12 + 9 - -5) + -2. Let n be p(x). Suppose -2*h - 1 = -r, -1 = -2*h + r - 2*r. Solve -4*g - 25 + n = h for g.
-4
Let p = -8 - -11. Let f be (-2)/7 - 4/(-56)*4. Suppose f = -9*m - 4*m + 78. Solve -m*c + p*c = -12 for c.
4
Let w = -54 - -173. Let u = w - 108. Solve -p + 9 = u for p.
-2
Let t = 513 - 481. Let s = -624 - -627. Solve -t = 7*p + s for p.
-5
Let c be 1636/(36/81 - 28/(-18)) - 1. Solve 0 = 7*u - 796 + c for u.
-3
Suppose -2*v = -7*v + 15. Let j(a) = 2*a**2 - 12*a + 20. Let n be j(6). Let m be 3/4 + (-15)/n + 2. Solve -v*h = m*h for h.
0
Let v be -11 + 195/(-13 - -26). Solve -7*j + 44 = v*j for j.
4
Suppose s = -47 + 50. Suppose s*y + 0*y = 4*y. Suppose 3*q + 18 = 5*q. Solve y = -2*v + q - 1 for v.
4
Suppose 125*m - 126 = 83*m. Solve -m*l + 483 = 501 for l.
-6
Let g = 749 + -745. Let h(k) = -k**3 - 2*k**2 - 3*k + 3. Let c be h(-3). Let l = c - 9. Solve 0*n + l = -g*n for n.
-3
Let l = 34 - 34. Suppose -5*f = -2*t - 86, -3*t + l*t - 171 = 3*f. Let x = 57 + t. Solve 5 = 3*k - x for k.
3
Let k = -1879 - -1890. Solve 0 = k*y + 1 - 12 for y.
1
Let y(i) = i**3 - 13*i**2 - 14*i + 4. Suppose -3*d - 65 = -17. Let o be 110/8 - 4/d. Let m be y(o). Solve p = -m*p + 15 for p.
3
Suppose 2*x - 4 = -4*g - 32, g = x + 11. Let d be (-2)/(-8)*x/(-3). Let p be d/(-2) + (-3)/(-6). Solve -2*s = -p*s for s.
0
Let j be ((-3)/(-6) - 4)*-8. Suppose -2*p + 4*h = -38, 2*h + 105 - j = 3*p. Let u = p - 29. Solve u = -w + 5*w + 8 for w.
-2
Suppose -88 = -9*c + c. Let s be (2 - -2)*(-2 - c/(-4)). Suppose 45 = 3*j + s*p, 21 = 3*j - 0*j - 5*p. Solve 5*n - 2*n = -j for n.
-4
Let g(l) = -2*l**2 + 23*l - 54. Let v(x) = x**2 - 11*x + 28. Let h(b) = 3*g(b) + 5*v(b). Let y be h(12). Solve -9 = y*z - 11 for z.
1
Suppose -404*x = -390*x - 2688. Solve x = -59*u + 83*u for u.
8
Let p be (-6)/10*10/(-3). Suppose 5*g = p*g + 24. Solve -5*n = -g*n for n.
0
Suppose 0 = 5*i - 3*l + 248, -l + 4*l = -2*i - 116. Let p be (-112)/i - 2/13. Suppose 11 = p*n - 5. Solve -v = 3*v + n for v.
-2
Let i = -21304 - -21325. Solve -879 = -i*v - 837 for v.
2
Let d(k) = -16*k - 41. Let x(j) = -15*j - 40. Let m(h) = -5*d(h) + 6*x(h). Let c be m(-4). Solve 6*b - c*b = 0 for b.
0
Let m = 6245 - 6241. Solve -488 = m*d - 464 for d.
-6
Suppose -705 + 222 = -107*s + 801. Solve 21*h - 19*h - s = 0 for h.
6
Suppose 498 - 489 = 3*k + 4*a, -3*k - 3*a = -9. Suppose -i - 2*i = 0. Suppose -5*q = 15 + 5, 2*m + 5*q = -16. Solve -k*g - m*g = i for g.
0
Suppose -25*f = 2*f - 162. Solve -f*r + 29 = -1 for r.
5
Suppose -15*f = -435 - 3660. Let h = f + -269. Solve 0 - h = 2*v for v.
-2
Let m be 5/((-5)/4) - (0 + -4). Suppose k - 3*o + 12 = -m*k, 3*k + 1 = 2*o. Solve k*r - 2 = r for r.
1
Suppose -8*j = -14*j + 126. Let m be -3 - j/(-6) - 11/(-2). Solve -m*c = -4*c + 8 for c.
-4
Suppose -4*j + 2*c = c + 409, 2*j + 200 = -4*c. Let i = -48 - j. Let y be i/(-126) - 31/(-7). Solve -2*m + 2 = -y for m.
3
Let g(m) = 60 - 11*m**2 - 169 - 3*m**3 - 21*m + 2*m**3. Let b be g(-10). Let y = 0 + 2. Solve 0 = -k + y*k + b for k.
-1
Suppose -2910*g = -2881*g - 377. Solve g*u = 231 - 205 for u.
2
Let c(z) = -2482*z + 12416. Let f be c(5). Solve 419*g - 413*g = -f for g.
-1
Let t be (-56)/(-6)*(-36)/(-24). Let g be 4 + (-21)/t + 1/(-2). Suppose 8 = -0*o - o - 2*i, -3*i - 19 = -2*o. Solve g = -o*s - 2 for s.
-2
Suppose -5*l = t - 9*l - 46, -40 = -t + 3*l. Solve 0 = -t*w - 9*w + 31 for w.
1
Suppose 33*j - 8741 = -5771. Solve 128*x = 113*x + j for x.
6
Let n(i) = i**3 - 8*i**2 + 15*i. Let p(b) be the first derivative of b**3 + 2*b - 16. Let a be p(1). Let o be n(a). Solve o*d = -d + 5 for d.
5
Suppose -10*v + 33 = -277. Suppose 39*s - 56 = v*s. Solve 13*i - s = 6*i for i.
1
Suppose -98*v + 307 - 115 = -102. Solve 30*y - v = -63 for y.
-2
Let j = -115 + 120. Suppose 5*i - k = -j - 0, 0 = -i - k + 5. Solve c = -i*c for c.
0
Suppose 3*c + 4*x - 184 = 0, 0 = -c - 110*x + 113*x + 44. Solve -c = 108*t - 115*t for t.
8
Suppose -15 = -b - 4*b. Suppose -26*d + 4*m + 4 = -24*d, -3*d + m = -6. Solve -d*i = b*i for i.
0
Let q(d) = -d**3 - 15*d**2 + 26*d + 164. Let i be q(-16). Suppose i = 5*y - 6. Solve 1 = -y*a + 7 for a.
3
Let z(v) = -7*v**2 - 6*v - 31. Let u be z(-4). Let b = u - -123. Solve 0 = t - 0 + b for t.
-4
Let z = 4 - 10. Let k be (-8)/z - (2/6 - 3). Suppose -b + q = 2*q - 7, -24 = -3*b - k*q. Solve 3*j - 2*j = -b for j.
-4
Let l be 15/2*126/(-315). Let x be l/(-6)*(2 + -2). Solve -3*h - 5 - 1 = x for h.
-2
Let q = 70 - 70. Let c = -242 + 257. Solve q = -o - 2*o - c for o.
-5
Let c(w) = -5*w - 150. Let n be c(-30). Let f be n/(-3 - (-5 + 0)). Solve f = -7*r - 50 + 15 for r.
-5
Suppose 998 = 4*f - u, -95 = -2*f - u + 395. Solve f = -15*y + 233 for y.
-1
Let u(r) = 5*r + 21. Let q be u(-5). Let m be 1/q + 1067/44. Solve -5*g - 1 = m for g.
-5
Let v(r) be the third derivative of -r**5/60 - r**4/3 + 35*r**3/3 + 128*r**2. Let p be v(-13). Solve p*l - 7*l - 10 = 0 for l.
-5
Suppose 19*v - 58 = 37. Suppose 7*l + 7 = v*l - 3*k, -2*l + 4*k = -14. Let n(m) = m**3 + 3*m**2 - 6*m - 5. Let d be n(-4). Solve l + 2 = d*y for y.
1
Suppose 1343 = 4*l - l - 1723. Solve -2 = 1020*j - l*j for j.
1
Let o be ((-10)/(-4))/(3/6). Suppose -j + 44 = 9. Suppose 0 = -4*t - j + 35. Solve o*v - 5 = -t*v for v.
1
Suppose -16*r + 8 = -12*r. Suppose -2*c + 4*i - 4 = 0, 11*i = 4*c + 7*i +
|
{
"pile_set_name": "DM Mathematics"
}
|
588449805956.
4*(u + 804433)**2
Solve o**5 - 81*o**4 + 903*o**3 + 2393*o**2 - 3216*o = 0 for o.
-3, 0, 1, 16, 67
Find w, given that 4*w**3 + 42476*w**2 + 932444*w - 974924 = 0.
-10597, -23, 1
Factor h**3/4 - 1479*h**2 + 129645*h/4 + 67781/2.
(h - 5894)*(h - 23)*(h + 1)/4
Factor j**3/3 - 150*j**2 - 13879*j - 81466/3.
(j - 529)*(j + 2)*(j + 77)/3
Find y such that 1458*y**4 - 1890*y**3 + 464*y**2 - 32*y = 0.
0, 4/27, 1
Solve -10*b**4/9 - 9826*b**3/9 + 29578*b**2/9 + 9826*b/9 - 9856/3 = 0 for b.
-4928/5, -1, 1, 3
Determine d so that -2*d**4/9 + 4078*d**3/9 + 16342*d**2/9 + 1366*d/3 - 2724 = 0.
-3, -2, 1, 2043
Factor -4*k**2 + 170908*k/9 + 88648/3.
-4*(k - 4749)*(9*k + 14)/9
Determine y, given that -10*y**5 - 1985*y**4 + 7155*y**3 + 17135*y**2 - 7145*y - 15150 = 0.
-202, -3/2, -1, 1, 5
Factor -4*t**2 - 459736*t.
-4*t*(t + 114934)
Suppose 2*y**3/7 + 6474*y**2/7 + 12942*y/7 + 6470/7 = 0. Calculate y.
-3235, -1
Factor -388131591125*w**2 - 11144600*w - 80.
-5*(278615*w + 4)**2
Let -2*r**4/5 - 150*r**3 + 4566*r**2/5 - 2306*r/5 - 1524 = 0. Calculate r.
-381, -1, 2, 5
Factor 5*h**3 + 85*h**2 - 1890*h + 1800.
5*(h - 12)*(h - 1)*(h + 30)
Find v, given that -6*v**4/5 + 942*v**3/5 + 2934*v**2/5 - 8478*v/5 - 5184 = 0.
-3, 3, 160
Factor -2*m**2/5 + 674284*m - 284161820410.
-2*(m - 842855)**2/5
Determine v so that -2*v**4/17 + 200*v**3/17 - 5770*v**2/17 + 2420*v - 35568/17 = 0.
1, 9, 38, 52
Determine r so that r**3 - 106*r**2 + 511*r - 606 = 0.
2, 3, 101
Suppose -4*c**3/5 + 1036*c**2/5 + 632*c - 4192/5 = 0. What is c?
-4, 1, 262
Factor j**3 + 1525*j**2 + 427047*j - 124698573.
(j - 173)*(j + 849)**2
Suppose -2*h**3/7 + 338272*h**2/7 - 2043404502*h + 4086615708 = 0. Calculate h.
2, 84567
Factor l**3 - 117*l**2/7 + 158*l/7 + 2952/7.
(l - 9)*(l + 4)*(7*l - 82)/7
Suppose 3*b**5/5 + 3972*b**4/5 + 1294698*b**3/5 - 2655732*b**2 + 22657323*b/5 - 10677336/5 = 0. Calculate b.
-667, 1, 8
Determine v, given that -3*v**5 + 4002*v**4 + 28107*v**3 + 72354*v**2 + 80436*v + 32184 = 0.
-2, -1, 1341
Determine r, given that -51*r**3 - 206799*r**2/5 + 211926*r/5 - 4872/5 = 0.
-812, 2/85, 1
Solve -2*s**3/9 + 298*s**2/9 + 4516*s/9 + 2608/3 = 0.
-12, -2, 163
Factor k**4 - 499*k**3 + 82775*k**2 - 4563125*k.
k*(k - 175)**2*(k - 149)
Factor -2*t**4 - 30430*t**3 + 60866*t**2 - 30434*t.
-2*t*(t - 1)**2*(t + 15217)
Determine n, given that 2*n**3/7 - 3504*n**2/7 + 59022*n/7 - 55520/7 = 0.
1, 16, 1735
Factor 2*m**2/11 - 4754140*m/11 + 2825230892450/11.
2*(m - 1188535)**2/11
Solve v**4 - 125*v**3 + 602*v**2 - 232*v - 960 = 0.
-1, 2, 4, 120
Suppose -2*g**5/9 - 34*g**4/9 + 2390*g**3/9 + 226*g**2/9 - 5612*g/3 + 1584 = 0. What is g?
-44, -3, 1, 2, 27
Determine i so that -i**3 - 14*i**2 + 1081*i - 1066 = 0.
-41, 1, 26
What is y in 3*y**5 - 117549*y**4/2 + 288149190*y**3 - 2733289791*y**2 + 5751086535*y + 7189776075/2 = 0?
-1/2, 5, 9791
Solve r**5/3 - 239*r**4/6 - 941*r**3/3 - 2945*r**2/6 + 1516*r/3 + 1016/3 = 0.
-4, -1/2, 1, 127
Solve s**2/7 + 8*s/7 - 180/7 = 0.
-18, 10
Factor -7*p**3/9 + 415*p**2/9 + 1168*p/9 + 620/9.
-(p - 62)*(p + 2)*(7*p + 5)/9
Let -4*i**5/3 - 280*i**4/3 - 5116*i**3/3 - 21016*i**2/3 - 31312*i/3 - 15136/3 = 0. What is i?
-43, -22, -2, -1
Solve 16*j**5 + 216*j**4 + 273*j**3 - 178*j**2 + 24*j = 0 for j.
-12, -2, 0, 1/4
Find u, given that u**4/3 - 20*u**3/3 - 1405*u**2/3 - 13240*u/3 - 3952 = 0.
-19, -12, -1, 52
Find a, given that 5*a**3/3 - 3605*a**2/3 + 28595*a/3 - 17825 = 0.
3, 5, 713
Suppose -m**3/2 + 331*m**2/2 - 643*m/2 - 4935/2 = 0. Calculate m.
-3, 5, 329
Factor 2*u**2/17 - 2634*u/17 - 64368/17.
2*(u - 1341)*(u + 24)/17
Find r, given that 2*r**3/7 - 802*r**2 + 11220*r/7 = 0.
0, 2, 2805
Suppose -2*z**2/11 - 3844*z/11 - 19170/11 = 0. Calculate z.
-1917, -5
Factor 3*k**3/5 + 198*k**2 + 4857*k/5 - 1170.
3*(k - 1)*(k + 6)*(k + 325)/5
Factor -3*h**5 - 5364*h**4 - 2413719*h**3 - 14289858*h**2.
-3*h**2*(h + 6)*(h + 891)**2
Find f, given that -12*f**2/7 + 4257*f/7 + 1065/7 = 0.
-1/4, 355
What is z in z**2/5 - 175466*z/5 + 7697079289/5 = 0?
87733
Let -2*w**3/11 - 3108*w**2/11 - 18562*w/11 + 21672/11 = 0. Calculate w.
-1548, -7, 1
Factor a**3/4 - 391503*a**2/4 + 587251*a/2 - 195750.
(a - 391500)*(a - 2)*(a - 1)/4
Suppose -r**2/6 + 55*r/3 - 875/2 = 0. Calculate r.
35, 75
Factor 4*p**2 + 7122440*p + 3170571972100.
4*(p + 890305)**2
Solve -4*w**5/5 - 623*w**4/5 + 12069*w**3/10 - 4681*w**2/2 - 4625*w/2 - 825/2 = 0 for w.
-165, -1/2, -1/4, 5
Factor 2*f**2/15 + 1504*f/15 - 40456/15.
2*(f - 26)*(f + 778)/15
Suppose 4*q**4 - 52*q**3 - 736*q**2 + 14320*q - 57600 = 0. Calculate q.
-16, 9, 10
What is h in -h**2 - 2153*h - 15022 = 0?
-2146, -7
Solve -3*i**2/4 + 120*i = 0.
0, 160
Let -4*p**5 + 180*p**4 - 1612*p**3 - 8532*p**2 - 11488*p - 4752 = 0. What is p?
-2, -1, 22, 27
Let -5*k**4 + 140*k**3 - 265*k**2 + 130*k = 0. Calculate k.
0, 1, 26
Suppose 2*l**3 - 4456*l**2 + 31094*l = 0. Calculate l.
0, 7, 2221
Factor 3*c**2/2 - 849*c/2 + 28815.
3*(c - 170)*(c - 113)/2
Factor 2*r**2 + 20424*r + 163264.
2*(r + 8)*(r + 10204)
Factor -2*c**2 + 528*c + 3240.
-2*(c - 270)*(c + 6)
Factor 2*d**4 - 74*d**3 + 242*d**2 + 714*d + 396.
2*(d - 33)*(d - 6)*(d + 1)**2
Factor -j**2/2 - 3839*j - 14737921/2.
-(j + 3839)**2/2
Suppose -3*h**5/7 + 105*h**4 - 56568*h**3/7 + 1059864*h**2/7 + 23341776*h/7 + 41979696/7 = 0. Calculate h.
-11, -2, 86
Determine v so that v**2 - 46*v - 840 = 0.
-14, 60
Suppose h**3 - 21181*h**2 + 42359*h - 21179 = 0. Calculate h.
1, 21179
Factor 4*b**2 - 6191400*b + 2395839622500.
4*(b - 773925)**2
Factor -3*c**4/5 - 4383*c**3 + 43842*c**2/5.
-3*c**2*(c - 2)*(c + 7307)/5
Find m such that -123*m**2/4 - 117*m + 960 = 0.
-320/41, 4
Find o such that 3072*o**4 - 337152*o**3 + 9334512*o**2 - 4604232*o + 572907 = 0.
1/4, 437/8
Suppose 3*k**4 + 243*k**3 - 8985*k**2 + 65025*k + 74250 = 0. Calculate k.
-110, -1, 15
Suppose -276*v**2 + 270200*v + 3916 = 0. Calculate v.
-1/69, 979
Factor -2*w**3 - 174*w**2 - 828*w - 656.
-2*(w + 1)*(w + 4)*(w + 82)
Factor -4*c**4/7 - 24*c**3 - 1364*c**2/7.
-4*c**2*(c + 11)*(c + 31)/7
Solve -2*k**5/3 - 42*k**4 + 1008*k**3 + 55224*k**2 - 964224*k - 3359232 = 0.
-54, -3, 24
Factor -2*s**3/11 - 1420*s**2/11 - 335650*s/11 - 2401000.
-2*(s + 220)*(s + 245)**2/11
Find z such that -z**4 + 186*z**3 - 8480*z**2 - 31434*z + 1461681 = 0.
-13, 13, 93
Factor -t**4 - 200*t**3 - 4422*t**2 - 8248*t - 4025.
-(t + 1)**2*(t + 23)*(t + 175)
Factor 50*a**3 - 10895*a**2 + 20565*a - 9720.
5*(a - 216)*(a - 1)*(10*a - 9)
Factor 3*u**2/2 - 768*u - 266739/2.
3*(u - 649)*(u + 137)/2
Let r**4 + 381*r**3 - 23812*r**2 + 292020*r + 1573200 = 0. Calculate r.
-437, -4, 30
Suppose 2*s**5 + 3514*s**4 + 1462388*s**3 - 71320300*s**2 + 786106282*s + 858885458 = 0. What is s?
-901, -1, 23
Factor 4*v**2 - 748*v + 29344.
4*(v - 131)*(v - 56)
Determine h, given that -h**2/8 - 2758*h - 15213128 = 0.
-11032
Let 6*x**5 + 363*x**4 + 1218*x**3 + 1203*x**2 + 342*x = 0. What is x?
-57, -2, -1, -1/2, 0
Solve -4*u**4 - 244*u**3 + 6248*u**2 + 13440*u = 0.
-80, -2, 0, 21
Solve -5*c**3 + 180225*c**2 - 1624322835*c + 4871346615 = 0 for c.
3, 18021
Suppose -2*b**3/3 - 5596*b**2 - 268174*b/3 - 217828 = 0. What is b?
-8378, -13, -3
Suppose -5*h**3/2 + 258595*h**2 - 13374274805*h/2 = 0. Calculate h.
0, 51719
Solve r**3/4 - 33647*r**2/4 - 50475*r/2 = 0.
-3, 0, 33650
Solve 33*n**3 + 6165*n**2 - 19932*n + 3420 = 0 for n.
-190, 2/11, 3
Find n such that 3*n**4 + 1167*n**3 - 1170*n**2 = 0.
-390, 0, 1
Factor 3*n**4 + 107781*n**3 + 1289957967*n**2 + 5133567924039*n - 113563982339742.
3*(n - 22)*(n + 11983)**3
Factor 3*l**4 - 63*l**3 - 2745*l**2 - 21225*l - 47250.
3*(l - 45)*(l + 5)**2*(l + 14)
Find g, given that 6*g**2 + 271083*g + 135540 = 0.
-45180, -1/2
Factor c**3 - 106417*c**2 + 2831410496*c - 14154392180.
(c - 53206)**2*(c - 5)
Factor 2*a**2 - 3734*a + 135420.
2*(a - 1830)*(a - 37)
Find j, given that -3*j**2/7 - 85200*j/7 - 604920000/7 = 0.
-14200
Factor -j**2/5 + 39268*j/5 + 15708.
-(j - 39270)*(j + 2)/5
Factor -9*y**3 - 700*y**2 - 10932*y + 2464.
-(y + 22)*(y + 56)*(9*y - 2)
Let -3*m**5 + 27*m**4 + 27*m**3 - 363*m**2 - 360*m = 0. What is m?
-3, -1, 0, 5, 8
Determine n so that 2*n**2/5 - 2954244*n/5 + 1090944701442/5 = 0.
738561
Suppose -2*i**2 + 409596*i - 20971110402 = 0. What is i?
102399
Factor b**3/9 + 14*b**2/9 - 97*b/9 - 1430/9.
|
{
"pile_set_name": "DM Mathematics"
}
|
t is the y'th term of -1119, -2198, -3259, -4296, -5303, -6274, -7203, -8084?
y**3 + 3*y**2 - 1095*y - 28
What is the i'th term of 10, 10, 8, 4, -2, -10, -20?
-i**2 + 3*i + 8
What is the u'th term of -11, -24, -49, -92, -159, -256, -389, -564?
-u**3 - 6*u - 4
What is the u'th term of 39, 53, 67, 75, 71, 49, 3?
-u**3 + 6*u**2 + 3*u + 31
What is the v'th term of 79, 72, 55, 22, -33, -116, -233?
-v**3 + v**2 - 3*v + 82
What is the q'th term of -302, -372, -440, -506, -570, -632?
q**2 - 73*q - 230
What is the g'th term of 15, 28, 51, 90, 151, 240, 363?
g**3 - g**2 + 9*g + 6
What is the g'th term of -26, -47, -68, -89, -110?
-21*g - 5
What is the x'th term of -2357, -4716, -7075, -9434?
-2359*x + 2
What is the s'th term of 33, 32, 31, 30, 29?
-s + 34
What is the k'th term of -16, -46, -112, -232, -424, -706, -1096, -1612?
-3*k**3 - 9*k - 4
What is the z'th term of 5, 2, 1, 2, 5, 10, 17?
z**2 - 6*z + 10
What is the q'th term of 175, 176, 177, 178?
q + 174
What is the h'th term of -1, -88, -317, -760, -1489?
-12*h**3 + h**2 - 6*h + 16
What is the q'th term of 612, 622, 638, 660?
3*q**2 + q + 608
What is the f'th term of -18, -29, -40, -51, -62?
-11*f - 7
What is the j'th term of 1, 14, 39, 82, 149, 246, 379?
j**3 + 6*j - 6
What is the g'th term of -475, -949, -1425, -1903, -2383, -2865, -3349?
-g**2 - 471*g - 3
What is the n'th term of 126, 333, 540, 747, 954?
207*n - 81
What is the k'th term of -89, -79, -65, -47, -25, 1?
2*k**2 + 4*k - 95
What is the k'th term of 466, 934, 1402, 1870, 2338, 2806?
468*k - 2
What is the s'th term of 21, 15, 9?
-6*s + 27
What is the q'th term of -164, -331, -498, -665, -832, -999?
-167*q + 3
What is the s'th term of 3, 30, 81, 162, 279?
s**3 + 6*s**2 + 2*s - 6
What is the z'th term of -278, -566, -856, -1148, -1442?
-z**2 - 285*z + 8
What is the t'th term of 2107, 4216, 6325, 8434, 10543, 12652?
2109*t - 2
What is the d'th term of 140, 142, 144, 146, 148?
2*d + 138
What is the y'th term of -1999, -3998, -5997, -7996?
-1999*y
What is the l'th term of -122, -118, -112, -104, -94?
l**2 + l - 124
What is the h'th term of 98, 88, 74, 56, 34?
-2*h**2 - 4*h + 104
What is the x'th term of -265, -259, -263, -283, -325?
-x**3 + x**2 + 10*x - 275
What is the z'th term of 5, 15, 41, 89, 165, 275, 425, 621?
z**3 + 2*z**2 - 3*z + 5
What is the y'th term of 45, 56, 57, 42, 5, -60, -159?
-y**3 + y**2 + 15*y + 30
What is the l'th term of 135, 142, 145, 138, 115, 70?
-l**3 + 4*l**2 + 2*l + 130
What is the r'th term of 205, 420, 635, 850, 1065, 1280?
215*r - 10
What is the z'th term of 53, 65, 81, 101, 125, 153, 185?
2*z**2 + 6*z + 45
What is the x'th term of 29, 66, 105, 146, 189, 234?
x**2 + 34*x - 6
What is the w'th term of 15, 67, 155, 279, 439?
18*w**2 - 2*w - 1
What is the j'th term of -43, -87, -133, -181, -231, -283, -337?
-j**2 - 41*j - 1
What is the j'th term of -138, -278, -416, -552, -686, -818?
j**2 - 143*j + 4
What is the r'th term of -1579, -1578, -1577?
r - 1580
What is the p'th term of -15, -25, -47, -87, -151, -245, -375?
-p**3 - 3*p - 11
What is the f'th term of 89, 191, 289, 383?
-2*f**2 + 108*f - 17
What is the n'th term of -1701, -1697, -1691, -1683?
n**2 + n - 1703
What is the u'th term of -40, -68, -96, -124?
-28*u - 12
What is the j'th term of 35, 36, 37, 38, 39, 40?
j + 34
What is the o'th term of 144, 138, 126, 108, 84?
-3*o**2 + 3*o + 144
What is the r'th term of -20, -105, -248, -449, -708, -1025, -1400?
-29*r**2 + 2*r + 7
What is the h'th term of -371, -382, -393, -404, -415, -426?
-11*h - 360
What is the n'th term of -445, -435, -425?
10*n - 455
What is the y'th term of -60, -119, -182, -249?
-2*y**2 - 53*y - 5
What is the g'th term of -35, -61, -85, -107, -127?
g**2 - 29*g - 7
What is the l'th term of 2, 0, -4, -10, -18, -28, -40?
-l**2 + l + 2
What is the n'th term of -31, -98, -209, -364, -563, -806, -1093?
-22*n**2 - n - 8
What is the c'th term of 234, 181, 130, 81, 34, -11?
c**2 - 56*c + 289
What is the z'th term of -425, -411, -373, -299, -177?
2*z**3 - 427
What is the f'th term of 2170, 2177, 2188, 2203, 2222, 2245, 2272?
2*f**2 + f + 2167
What is the b'th term of -91, -64, -37, -10, 17, 44?
27*b - 118
What is the k'th term of 1095, 1102, 1109, 1116, 1123, 1130?
7*k + 1088
What is the v'th term of 1671, 1677, 1683?
6*v + 1665
What is the b'th term of 82, 66, 50?
-16*b + 98
What is the k'th term of 18, 41, 64, 87, 110?
23*k - 5
What is the y'th term of -938, -953, -1002, -1103, -1274?
-3*y**3 + y**2 + 3*y - 939
What is the c'th term of 17, 49, 107, 203, 349?
2*c**3 + c**2 + 15*c - 1
What is the k'th term of -10, -70, -130, -190, -250?
-60*k + 50
What is the o'th term of -6, -18, -32, -48, -66?
-o**2 - 9*o + 4
What is the r'th term of -285, -347, -409, -471, -533?
-62*r - 223
What is the f'th term of -917, -927, -949, -989, -1053, -1147?
-f**3 - 3*f - 913
What is the s'th term of 13499, 26999, 40499, 53999, 67499?
13500*s - 1
What is the y'th term of -40, -89, -140, -193, -248?
-y**2 - 46*y + 7
What is the y'th term of -76, -74, -72?
2*y - 78
What is the i'th term of 93, 184, 295, 432, 601, 808, 1059, 1360?
i**3 + 4*i**2 + 72*i + 16
What is the s'th term of -31, -54, -113, -226, -411, -686, -1069?
-3*s**3 - 2*s - 26
What is the h'th term of -2, -12, -20, -26, -30, -32?
h**2 - 13*h + 10
What is the n'th term of -15, -3, 17, 45, 81, 125, 177?
4*n**2 - 19
What is the f'th term of 34, 63, 92?
29*f + 5
What is the a'th term of -22, -23, -28, -37, -50, -67?
-2*a**2 + 5*a - 25
What is the m'th term of 83, 79, 75, 71, 67?
-4*m + 87
What is the y'th term of -188, -364, -540?
-176*y - 12
What is the u'th term of 73, 61, 33, -17, -95?
-u**3 - 2*u**2 + u + 75
What is the p'th term of -7, -30, -69, -124, -195, -282, -385?
-8*p**2 + p
What is the l'th term of 53, 471, 1623, 3875, 7593?
61*l**3 + l**2 - 12*l + 3
What is the v'th term of -54, -63, -78, -99, -126, -159, -198?
-3*v**2 - 51
What is the l'th term of -215, -214, -205, -182, -139?
l**3 - 2*l**2 - 214
What is the d'th term of 32, 128, 288, 512?
32*d**2
What is the l'th term of -192, -384, -576?
-192*l
What is the c'th term of -134, -120, -94, -56?
6*c**2 - 4*c - 136
What is the o'th term of -605, -610, -615, -620?
-5*o - 600
What is the t'th term of -68, -70, -80, -104, -148, -218, -320, -460?
-t**3 + 2*t**2 - t - 68
What is the v'th term of -54, -109, -168, -231, -298?
-2*v**2 - 49*v - 3
What is the i'th term of 110, 121, 138, 161, 190?
3*i**2 + 2*i + 105
What is the p'th term of -13, -29, -45, -61, -77?
-16*p + 3
What is the i'th term of 1600, 1598, 1596?
-2*i + 1602
What is the v'th term of 80, 162, 258, 374, 516, 690, 902?
v**3 + v**2 + 72*v + 6
What is the z'th term of 2, -2, 18, 74, 178?
2*z**3 - 18*z + 18
What is the s'th term of 36, 45, 56, 69, 84?
s**2 + 6*s + 29
What is the y'th term of 227, 460, 683, 890, 1075?
-y**3 + y**2 + 237*y - 10
What is the l'th term of -72, -70, -52, -12, 56?
l**3 + 2*l**2 - 11*l - 64
What is the k'th term of 2663, 2668, 2683, 2714, 2767, 2848, 2963, 3118?
k**3 - k**2 + k + 2662
What is the x'th term of 308, 303, 296, 287, 276, 263?
-x**2 - 2*x + 311
What is the r'th term of 83, 174, 277, 392, 519?
6*r**2 + 73*r + 4
What is the y'th term of 155, 665, 1515, 2705, 4235, 6105, 8315?
170*y**2 - 15
What is the s'th term of -11, -27, -57, -107, -183, -291, -437, -627?
-s**3 - s**2 - 6*s - 3
What is the k'th term of 1582, 1589, 1600, 1615?
2*k**2 + k + 1579
What is the m'th term of 23, 53, 89, 137, 203, 293, 413?
m**3 - 3*m**2 + 32*m - 7
What is the o'th term of -1244, -1235, -1226, -1217, -1208?
9*o - 1253
What is the j'th term of 253, 508, 763, 1018?
255*j - 2
What is the t'th term of -120, -225, -332, -441?
-t**2 - 102*t - 17
What is the c'th term of 279, 285, 295, 309?
2*c**2 + 277
What is the z'th term of 64, 72, 80?
8*z + 56
What is the l'th term of -38, -157, -488, -1139, -2218, -3833?
-18*l**3 + 2*l**2 + l - 23
What is the a'th term of 3611, 3612, 3613, 3614, 3615, 3616?
a + 3610
What is the s'th term of 1114, 1112, 1110, 1108, 1106, 1104?
-2*s + 1116
What is the g'th term of -14, -43, -90, -149, -214, -279, -338, -385?
g**3 - 15*g**2 + 9*g - 9
What is the b'th term of -232, -463, -696, -931, -1168, -1407, -1648?
-b**2 - 228*b - 3
What is the t'th term of 346, 696, 1046, 1396, 1746, 2096?
350*t - 4
What is the s'th
|
{
"pile_set_name": "DM Mathematics"
}
|
pose 0 = -2*v - 10, -w - 9 = -3*f - v. Suppose 1 = 4*n - n + 4*s, 5*n = f*s + 25. Solve c = n*c - 4 for c.
2
Suppose 8 = -g + 12, -260 = -2*i - 5*g. Suppose 0 = -29*h + 49*h - i. Solve -h = -4*l - 22 for l.
-4
Let w be (20/(-6))/((-4)/6). Suppose 2*q = 4, -2*n - 1220*q = -1216*q - 20. Solve 0 = x - n*x - w for x.
-1
Suppose 12*s + 600 + 1464 = 0. Let q = s + 174. Solve q*c + c = 15 for c.
5
Suppose 0 = 30*f - 1243 - 407. Solve f - 47 = -2*w for w.
-4
Let n(o) = 3*o**2 - 20*o - 5. Let u be n(7). Suppose 3*p = -y - 6, 3 + 1 = y - u*p. Solve y = 4*v + v for v.
0
Suppose 36*h = 23*h + 52. Suppose 2 = 2*r - 0*s + 2*s, -5*r + 4*s - 4 = 0. Suppose -30 = -5*p - 5*l, 0 = -r*p + p + 2*l - 7. Solve 6*a + h = p*a for a.
-4
Let g be ((-12)/8)/((-2)/4). Suppose -3*w + 1093 = -6*x + x, x = -5*w + 1859. Let i = -369 + w. Solve -2*u + i = -g*u for u.
-2
Let h(i) = 3*i + 11. Let n be h(-3). Suppose -177*q + 185*q = -0 - 0. Solve q = -n*p + 3*p + 4 for p.
-4
Let f = 7944 - 7815. Solve 33*w + 69 = -f for w.
-6
Suppose -462*c - 32*c = -131*c - 3993. Solve c*i - 83 = -6 for i.
7
Let u be 2/9 + 2/(-9). Suppose u = 19*n - 21*n. Suppose n = 2*a + 15 - 19. Solve -10 = 3*w + a*w for w.
-2
Suppose 32 = -2*o - 4*f, 76*o - 77*o + 8 = -f. Solve o = 2*b - 125 + 107 for b.
9
Let n be (4/14)/(0 + (-4)/(-56)). Suppose n = 3*s - 11. Solve 0 = h - 2*h + s for h.
5
Let o be 1/2*((5 - -3) + -6). Let u be (-2 - (-8 + 4))/o. Solve 0 = 2*f + u - 12 for f.
5
Let b(c) = 41*c - 856. Let z be b(21). Solve z*j = j + 20 for j.
5
Let w(y) be the third derivative of y**5/20 - 5*y**4/24 - 4*y**3/3 + y**2 - 36. Let j be w(3). Solve 10*r = j*r - 12 for r.
-2
Let b = -395 - -515. Suppose b = -13*y + 53*y. Solve y*f + f = 4 for f.
1
Let r be 132/12 + -28 + 17. Solve r = -9*j + 11 - 2 for j.
1
Let k = -218 + 190. Let t be k/(-49) - 38/(-7). Solve -6 = 3*x + t for x.
-4
Suppose -33*t = 5*c - 28*t - 15, 3*t = -9. Suppose c*a = -281 + 287. Solve -3*s + a = -8 for s.
3
Let m be 16/10 - (-4)/10. Let y be 3 - ((-31)/(-93) + (-5)/15). Solve -m*i + y*i = 3 for i.
3
Let r(p) = -2*p - 15. Let x be r(13). Let g = x + 44. Let o(v) = v**2 + 5*v - 19. Let u be o(g). Solve u = 5*k - 0 for k.
1
Let n(u) = 283*u - 847. Let l be n(16). Solve 3*o = l - 3663 for o.
6
Suppose 0 = 2*l - 5*i - 16, -l - 10*i + 8 = -13*i. Solve 6*z + l*z - 70 = 0 for z.
5
Suppose -5*r - 3 = -3. Suppose r = -9*b - 9*b + 9*b. Solve b = -5*f - 0*f - 10 for f.
-2
Let u(o) = o**3 + 4*o**2 + 8*o + 7. Let f be u(-2). Let c be (-12 + 11)*(f + 0 + -1). Solve 0*p = -c*p + 10 for p.
5
Let x be (-8241)/(-1353) + (-1)/11. Solve 0 = 41*a + x*a + 329 for a.
-7
Let f be -4 - (2920/5)/(-4). Let g = -142 + f. Solve g = -l + 3*l - 8 for l.
4
Let s be (-2)/(-11) - (-1200)/660. Let g be (4/6)/(0 - s/(-45)). Solve 2*h = -h - g for h.
-5
Let r(s) = 70*s + 1480. Let u(h) = -19*h - 370. Let i(l) = -2*r(l) - 9*u(l). Let o be i(-10). Solve -56 + o = -4*y for y.
-1
Let x be (-33)/2*(-4 + 8). Let u = -67 - x. Let s be 4 - u - (-8 - -10). Solve -4*l - s = -7*l for l.
1
Let g = 2963 - 2897. Solve 0 = 13*n + 20*n + g for n.
-2
Let k(l) = -l**3 + 7*l + 9. Let n be k(-2). Suppose 0 = -x - n*x + 8. Solve 0 = -t - 1 - x for t.
-3
Suppose 10*q - 1112 + 1032 = 0. Solve 0 = q*s - 29*s + 84 for s.
4
Let y be ((-16)/(240/75))/(2/(-10)). Suppose 0 = -4*a + 2*a. Solve a = -y*o + 20*o - 25 for o.
-5
Let o be ((-3)/4)/(9/(3*-204)). Solve 48*p + 9 = o*p for p.
3
Let h(k) = -k**3 + 13*k**2 - 2*k + 12. Let f be h(13). Let t be 3/(-2) - (7 - (-105)/f). Let a be 1 - 5 - 4/t. Solve -p + 6*p - 15 = a for p.
3
Suppose 3*h = 20*h. Suppose 3*l = 3*v - 5*v - 2, 5*l + 20 = h. Solve 10*j - v = 5*j for j.
1
Let l = 5506 + -5494. Solve -26 = -19*f + l for f.
2
Suppose -3*j = 68 - 104. Suppose -3*g = c - 6*g - 11, 0 = -3*c + 4*g + 43. Let f = c - j. Solve y - f*y = 4 for y.
-1
Suppose -60 + 12 = 2*t + 4*l, 0 = -l. Let a be (15/(-9))/(8/t). Solve 3*j - 8 = -a*j for j.
1
Let g be (-2)/(-6)*(-27)/(-3). Suppose 22*f + 14 = 94 + 30. Solve g*c = -f + 20 for c.
5
Let k be (50310/(-18))/(-5) - 7. Solve -7*q = k - 587 for q.
5
Suppose -1220 - 2322 = -9*h + 1390. Solve 551*i - 15 = h*i for i.
5
Let w be -1 - 4*(-1)/1. Let s be 220/(-176) + (-102)/(-24). Suppose w*x = -s*v - 1 - 5, 4*v + 10 = -3*x. Solve 7*t - 20 = x*t for t.
4
Suppose 35*n = -617 + 2198 + 1534. Solve 8*i = -n + 105 for i.
2
Suppose f = 208 - 85. Suppose -5*m + 117 = -f. Let s be (-8)/2 + (-5)/((-10)/m). Solve -4*j + s = 4 for j.
4
Let x = -407 - -200. Let u = x + 208. Solve 0 = -4*j + 5 - u for j.
1
Let a = 2554 + -2536. Solve -a*x - 27 - 9 = 0 for x.
-2
Let m be (-3 + -8 + -2)*-1. Suppose 10*b + m*b = 21*b. Suppose 0 = -d - 2*o - 8, 2*o = 4*d - o - 23. Solve d*n + n + 9 = b for n.
-3
Suppose -32*j + 6 = -29*j + 5*s, -2*j + 4 = s. Let b(g) = 2 + 2 - 9*g**2 + 8*g**2 + g. Let i be b(j). Solve 0*u = -i*u for u.
0
Let z(c) = -c**3 + 10*c**2 - 22*c + 23. Let j be z(7). Solve -j = 2*w + 2*w for w.
-4
Suppose -5*y + 84 = -4*a, 179*y + 4*a + 20 = 180*y. Solve 25*f = y*f for f.
0
Let o be (-3)/(2506/(-500) + 5). Let j = 253 - o. Solve -j*v = 1 + 5 for v.
-2
Let g = -158 - -250. Suppose 1 = 93*x - g*x. Solve x + 6 = -7*q for q.
-1
Let a be (-16)/(-6)*(374292/24)/37. Solve a*f - 63 = 1133*f for f.
-7
Let b(t) = -t + 2. Let i(n) = n**3 - n + 2. Let c(g) = -3*b(g) + 4*i(g). Let p be c(1). Suppose -a - 3 = p*s - 5, 5*a + s - 10 = 0. Solve -m = -a*m + 1 for m.
1
Suppose -82*m = -81*m - 23. Suppose -5*s = -2 - m. Solve -9 = -s*v + 6 for v.
3
Suppose 521 + 223 = 4*k. Let o be k/6*2/2. Let m = -21 + o. Solve 4*z - m = -z for z.
2
Let t = -481 + 460. Suppose y = 4*y - 69. Let v = y + t. Solve -v*b = -5*b for b.
0
Let f = -10 - -14. Let a be (-8 + -10)*(-1)/3. Let k be a/12 - 3/(-6). Solve -13 + k = f*z for z.
-3
Let d = 0 - 113. Let z = -7462 + 7586. Let b = z + d. Solve -3*l = -b - 1 for l.
4
Let l(j) = 2*j**2 + 3*j - 21. Let t be ((-9)/24)/(16/(-128)). Let c be l(t). Solve -c*q - 11 = -41 for q.
5
Let n(r) = 17*r**2 - 30*r + 44. Let g be n(2). Solve 0 = -6*h + g - 34 for h.
3
Let i(o) = 150*o + 91. Let c be i(-4). Let r = -502 - c. Solve r*p - 4*p = 0 for p.
0
Suppose 383 = 3*s - a, -s + 6*s - 637 = a. Let o = -132 + s. Let x be 0/(5/(o/3) + 5). Solve -5*u = -x*u - 25 for u.
5
Suppose -548*a + 550*a - q = 61, 0 = 2*a + 3*q - 81. Solve -7*u + 5 = a for u.
-4
Suppose 2*d + 152 = -3*r, -d - 114 = 2*r - 6*d. Let a be -5*10/(-325) - 200/r. Solve -2*c + 6 = a*c for c.
1
Let z = -31 + 37. Suppose 0 = 6*h - 9*h + z. Let c be 0 + -6*(-1)/h. Solve -s = -c*s for s.
0
Suppose 963*f - 784*f - 1381 + 307 = 0. Suppose -5*c + 3*u = 4*u - 61, -2*c + 42 = -4*u. Solve c*h = 10*h - f for h.
-2
Let a(s) = -s**3 - 1. Let u(z) = -3*z**3 + 23*z**2 + 24*z + 37. Let x(j) = 4*a(j) - u(j). Let h be x(-22). Solve -h*m + 6 + 0 = 0 for m.
2
Let n = 6167 + -6069. Solve -n*a + 65 = -85*a for a.
5
Let q(x) = -4*x**2 + 6*x - 3. Let w be q(-5). Suppose 1301*t - 1305*t = 488. Let y = t - w. Solve -y*n = -7*n - 16 for n.
4
Suppose -175 = -f + 3*w, f + 3*w = 2*w + 155. Suppose -60 = 5*c - f. Solve 0 = 2*x - 6*x + c for x.
5
Suppose -3666 = -54*y - 3342. Solve 15*s + 81 - y = 0 for s.
-5
Let d = 170 + -178. Let a(n) = -n**2 - 6*n + 17. Let l be a(d). Solve 3*s - 2*s = l for s.
1
Suppose 0 = -30*r - 35*r + 3356 + 3859. Solve -r*o - 24 = -105*o for o.
-4
Suppose 0 = 5*r + i + 280 - 338, 3*i = 9. Solve 48 = -r*x - x for x.
-4
Suppose 4*a + 74 = 2*a. Let l = -36 - a. Suppose -3*d + 7 = l. Solve d - 4 = j for j.
-2
Let z be (186/682)/(3/33). Solve z*v = -18*v - v for v.
0
Suppose 15 = -5*v + 8*v. Let q be -3*((-50)/(-15))/v. Let h be -9*(q - -3)*-1. Solve -h*n = -4*n - 25 for n.
5
Suppose -4*q + 96 + 68 = 3*j, -j + 23 = -5*q. Suppose -4*x + j = 5*l, x + 9 = -l + 5*l. Suppose -1 = u + f - x, 3*u - 13 = 2*f. Solve 10*n - 20 = u*n for n.
4
Let y be (-4 - 3168/27)*3. Let l be 2*(-1)/18 - y/36. Solve -z + l = z for z.
5
Let o = 476 - 470. Let f be -1 + 1 - (-4 - -4). Solve 5*t - o*t = f for t.
0
Let l = -127 + 94. Let d = l - -37. Suppose d*w - 45 + 12 = -5*q, -5*q - 2*w + 29 = 0. Solve q*z = 2*z - 3 for z.
-1
Let l be 10 - (7 + -1) - (8 - -4). Let s be (l/16 - -2)*2. Solve -2 = q + s for q.
-5
Suppose -125 = -t + f, -82*t + 80*t = f - 238. Solve -t*i = -26*i - 570 for i.
6
Let k be (624/(-36) + 17)*-27
|
{
"pile_set_name": "DM Mathematics"
}
|
the third biggest value in 380, -1/6, 1/2, 7, 1?
1
What is the biggest value in 17, 0.219, -3/5, -1, -13, 2/3?
17
What is the fourth smallest value in -0.9195, 3, 2, -2, 0.3, -8, -4?
-0.9195
What is the smallest value in 4332.87, 3/5, 44?
3/5
Which is the sixth biggest value? (a) -0.7 (b) -0.4 (c) -14 (d) -10 (e) -2 (f) 1 (g) 4/55
d
Which is the biggest value? (a) 95 (b) -0.2 (c) -0.06
a
What is the fourth smallest value in 8, 5/6, 1/2, -9, -1, -21/2, 1/15?
1/15
What is the fourth smallest value in 2/1103955, -4, 1/3, 4, 0.3?
1/3
Which is the sixth biggest value? (a) -3 (b) -1/3 (c) 0.7 (d) 5 (e) 442 (f) 0
a
What is the third smallest value in -2/165, -0.3, -3, -4, -702, 1.2?
-3
Which is the second smallest value? (a) -0.288 (b) 2 (c) 1107
b
Which is the second smallest value? (a) -2/15 (b) 0 (c) 14/11293
b
Which is the fourth smallest value? (a) -50/11 (b) 14.8 (c) 5 (d) -22
b
What is the fourth smallest value in -6/7, 2/159, 0.767, 0.793?
0.793
What is the third biggest value in 0.1, 4502, 203?
0.1
Which is the second smallest value? (a) 1/2 (b) -3 (c) 150 (d) 2/5 (e) 0 (f) 3 (g) 4/685
e
What is the fourth smallest value in 116, 5, 2, -0.5, 7, -4/7, 1/46?
2
What is the second smallest value in -48042961, -5/3, -1?
-5/3
Which is the fifth smallest value? (a) 0.04 (b) -40 (c) -2 (d) 0.5 (e) 13/22
e
What is the second smallest value in 5/8, 1, -4/19, 23, 1/9?
1/9
Which is the biggest value? (a) 2 (b) 38/3 (c) 274 (d) -0.149
c
Which is the fifth biggest value? (a) -10/29 (b) 3 (c) -2/21 (d) -0.04 (e) -3/2 (f) 24
a
What is the fourth smallest value in 1/7, 2271, 1, -2/9, -65/8?
1
Which is the third smallest value? (a) -0.5 (b) -1/21 (c) 546 (d) 0.084
d
What is the fifth smallest value in -1/2, -0.4, 1/6, 49, -0.22, -280, 0?
0
What is the fifth smallest value in 4, 1274, -1/2, -0.02, -1665?
1274
What is the smallest value in -0.5, -4, -50, -30.8308?
-50
Which is the third biggest value? (a) -0.6 (b) 5 (c) 25 (d) -29 (e) -2 (f) -0.42
f
Which is the fourth biggest value? (a) -6 (b) 2 (c) 2299 (d) -8441 (e) -1/2
a
Which is the third biggest value? (a) -1.6 (b) 1/4220 (c) -572
c
Which is the second smallest value? (a) 51 (b) -33/2 (c) -5 (d) 2.8
c
What is the seventh smallest value in 255, 0.1, 0, -2/5, 0.2, -6, 3?
255
What is the fourth smallest value in -0.1, 1053, -0.5, -2/17, -3?
-0.1
What is the smallest value in 370, -3, -11, -4, 3, 69.3?
-11
What is the fourth biggest value in -6, 0.01, -6/5, -5, 1.7011?
-5
Which is the third biggest value? (a) 327 (b) -6/205 (c) 0.3 (d) 21
c
Which is the biggest value? (a) -30 (b) -7 (c) -0.265 (d) 11 (e) -5 (f) -2
d
Which is the third smallest value? (a) 2627 (b) 0.2 (c) -0.10536
a
Which is the third biggest value? (a) -0.222 (b) -4 (c) -5 (d) 1 (e) 2 (f) 2/29
f
Which is the third smallest value? (a) 8 (b) 5 (c) 0.07 (d) -1/6 (e) 0.3 (f) 19 (g) 1/22
c
What is the smallest value in -1, -6, 0.0538, 2/3, -4.405?
-6
What is the smallest value in 26, 1/5, 14/17, -2/239?
-2/239
Which is the fourth biggest value? (a) -5 (b) -1/3 (c) 22.9674 (d) 14 (e) 3
b
What is the biggest value in -83/4, -26479, -0.01?
-0.01
What is the second biggest value in 2.2, 1.5, -0.5, 10/57, 2/51?
1.5
Which is the second smallest value? (a) -1/8 (b) -12 (c) 0.02 (d) 3 (e) 5 (f) 28 (g) 0.57
a
What is the fourth smallest value in -1.1, -8, -13, 11/3, -2?
-1.1
What is the biggest value in -9821, -2/11, 0.3, -902?
0.3
Which is the second biggest value? (a) -1/3 (b) -75/14 (c) 3 (d) 23 (e) -3 (f) -0.3
c
Which is the second smallest value? (a) -3 (b) -2/61 (c) -15352
a
Which is the fourth smallest value? (a) -0.3 (b) 2/13 (c) 41 (d) 944 (e) -0.01 (f) -3
b
What is the third smallest value in 1915, 20137, -0.1?
20137
What is the biggest value in 4, -1/5, 2, -77557478?
4
What is the third biggest value in 10.5, -28, 0, -1/4, -10, -2, -0.3?
-1/4
Which is the second biggest value? (a) 0.4 (b) -3140/7 (c) -1 (d) -0.3 (e) 5/4 (f) 1
f
Which is the fourth smallest value? (a) -4 (b) 2 (c) 387 (d) 36/7 (e) -0.3
d
Which is the fifth biggest value? (a) -4 (b) -11 (c) -1 (d) 7/3 (e) 5 (f) 2 (g) -124
a
Which is the smallest value? (a) -1706/3 (b) 4/5 (c) 185/16
a
What is the biggest value in -1, -35892, -3223?
-1
Which is the smallest value? (a) -1/7 (b) 7/3 (c) -2 (d) 1/4 (e) 3 (f) -25/2
f
Which is the smallest value? (a) 532 (b) -1 (c) -0.6 (d) -4/5 (e) 8 (f) 5
b
What is the biggest value in -6, -10, 107, 2.2, 1?
107
Which is the second smallest value? (a) -82561 (b) 6/67 (c) 5
b
Which is the second smallest value? (a) -3375 (b) 1.4 (c) 784 (d) -5
d
What is the fourth smallest value in -69281, -2/7, -2/5, 7, 0?
0
Which is the third smallest value? (a) -1/3 (b) 1/3 (c) -1/8088 (d) 5 (e) -40
c
Which is the third smallest value? (a) -4 (b) 5 (c) -0.07 (d) -9052.1
c
What is the smallest value in -0.3, 0.2, 52.4, -2580?
-2580
Which is the fourth biggest value? (a) 2/7 (b) -0.5 (c) 3 (d) 0.5 (e) -294 (f) 1 (g) 11
d
Which is the sixth biggest value? (a) 185 (b) 5/4 (c) -2/5 (d) 0.13 (e) 2/3 (f) 2.2
c
Which is the smallest value? (a) -2065 (b) 41/21 (c) -4
a
Which is the third smallest value? (a) -4 (b) 0.4 (c) -292.98726
b
What is the fourth smallest value in -16/3, 3/220, -1, 0.061?
0.061
What is the fifth biggest value in -411, 3, 2/9, 896, -1, 1/3, 1?
2/9
Which is the third biggest value? (a) -1 (b) 2 (c) 402691 (d) -2 (e) 0.5 (f) -9/2
e
What is the third smallest value in -14, -6, -2105/8?
-6
Which is the fourth smallest value? (a) -1/3 (b) 2/7 (c) 3 (d) -190.6 (e) -2/13 (f) 5
b
Which is the third smallest value? (a) 0.3 (b) 3 (c) 6 (d) 1 (e) -86 (f) -0.3
a
What is the seventh biggest value in 1, -1, 1/2, -1/5, -4, 183, -297?
-297
What is the second biggest value in -1, -0.3, -1570, 0.0083?
-0.3
Which is the second smallest value? (a) -0.3 (b) -0.067 (c) -974.69 (d) 6
a
Which is the fourth smallest value? (a) 41 (b) 0.5 (c) -22/5 (d) -0.05 (e) -5 (f) 43 (g) -3
d
Which is the fourth biggest value? (a) -4/15 (b) -2 (c) -1/11 (d) 31110 (e) -1/4 (f) -4
a
Which is the fourth smallest value? (a) -9 (b) 5.614 (c) 0.55 (d) -2
b
Which is the second smallest value? (a) 2/5 (b) -132/19 (c) -48/7 (d) 0.01 (e) 2/3 (f) -2/11
c
What is the biggest value in 92, -1/9, -235, 0.1, -72, 3/2?
92
What is the fifth smallest value in -1427, 2/3, 0.6, -1/2, 28/11?
28/11
Which is the second smallest value? (a) 2/3 (b) 105 (c) 153/82
c
Which is the seventh smallest value? (a) 0 (b) -3690 (c) -4 (d) 1 (e) 5 (f) 0.3 (g) -20/23
e
Which is the fifth smallest value? (a) 3/5 (b) 170/19 (c) -5 (d) -6/25 (e) 0 (f) 2/27
a
What is the fifth smallest value in 1/2, 2/19, 3/8, 0.3, 1268/7, 3/4, -3/4?
1/2
Which is the smallest value? (a) 54 (b) -94/41 (c) 0 (d) 3/22 (e) 0.2
b
What is the second biggest value in 13/1979, -0.23, 2/15, -0.8?
13/1979
What is the fifth biggest value in 2, -8, 0.2, 3/43, 803, -2, 0.3?
3/43
Which is the fifth smallest value? (a) -16 (b) -390 (c) -18.3 (d) 0 (e) 0.4
e
Which is the fifth biggest value? (a) 3 (b) -0.04 (c) -2/3 (d) 1008 (e) -1/20
c
Which is the smallest value? (a) -69 (b) 24 (c) -3/4 (d) 27 (e) -4
a
What is the third smallest value in 2/145, 324, -2, -0.814?
2/145
Which is the second biggest value? (a) 12 (b) -451 (c) 0.4 (d) 10 (e) -3
d
What is the fifth biggest value in 0.0113, 2, -3, -1, 12.3, 0.2?
-1
What is the second smallest value in 1/7, 0.4242086, -13?
1/7
What is the fourth biggest value in -1/5, -3, 2/7, 11, 0.03, 0.57, -1?
0.03
What is the sixth smallest value in 6, 9585, -0.5, 4, -1/6, -18?
9585
What is the third biggest value in 11539, 2, -0.3, -6/5, -0.0577?
-0.0577
What is the sixth biggest value in 5, -3/4, -0.3, 3, -10, 21.3?
-10
What is the biggest value in 3914, 0.71, -2/17, -1/7?
3914
Which is the fifth smallest value? (a) 2 (b) -4/3 (c) 23 (d) -0.1 (e) 53 (f) -3/7 (g) -0.7
a
What is the second smallest value in 5, -0.3, 16.0157, -5, 1/4?
-0.3
What is the second biggest value in 27/2, -11, 4?
4
Which is the fifth smallest value? (a) 14/9 (b) -2/15 (c) -
|
{
"pile_set_name": "DM Mathematics"
}
|
. Let u = i - 0.017. What is the third smallest value in u, 1/6, d?
1/6
Let j = -10.988 - -11.188. What is the biggest value in -1/7, j, -1/5, -4?
j
Let z = 1.769 - 1.68. Let g = z - 0.589. Which is the third biggest value? (a) -2/7 (b) -0.1 (c) 1 (d) g
a
Let p = -0.20936 - -237.20936. Which is the second smallest value? (a) -5/2 (b) 5 (c) p (d) 0.01
d
Let j = 5 - 7. Let u = -2.1 - j. Let n(r) = -145*r**2 + 1165*r - 37. Let f be n(8). What is the fourth biggest value in 0.1, f, u, -2/9?
-2/9
Let n = 573 - 543.9. Let m = n + -28.1. Let y = -0.1 + 0.11. Which is the second biggest value? (a) 5 (b) m (c) y
b
Let l = -2.2 + 0.2. Let m = -1 - -1.4. Let j be (1284/9416)/(46/(-40) + (-6)/(-15)). Which is the smallest value? (a) m (b) l (c) -1 (d) j
b
Let h = 5.67 + -0.67. What is the fourth biggest value in 3/2, -0.3, h, 12?
-0.3
Let m(h) = -h**2 - 28*h + 67. Suppose 7*v + 232 = 22. Let u be m(v). What is the second biggest value in 2/9, -2, u, 22?
u
Let b = -420 - -424. Let y = 73 + -126. Let k = y - -53. What is the third biggest value in -2, b, k, -3/8?
-3/8
Let o = -31.36 + 34.36. What is the second smallest value in -3, o, 0, 0.2?
0
Let x = 27.2 + -176.2. Let m = 144 + x. Let p = 0.4 - 0.3. What is the second smallest value in p, m, -3?
-3
Let w = -46.5 - -50. Let n = -8.5 - -17. Let f = w - n. What is the biggest value in -2/11, -0.07, f?
-0.07
Let o = 0.2 - 0.7. Suppose 0 = -4*n + 2*j - 122, 6*n = n - 27*j + 172. What is the second biggest value in o, -2/5, n?
o
Let c = 166.1 - 170.1. What is the fourth biggest value in c, -2, 17, 1?
c
Let j = 1023.5 - 1024. What is the biggest value in 1/3, -1, j, 14, 1/4?
14
Let o = -130.7 - -130.9. What is the second smallest value in 1, -69, o?
o
Let l be -1*(1 - -43 - (4 - -1 - 5)). What is the third smallest value in l, -2/3, -28, -2?
-2
Let h be 4 + (1 - (-3)/(-3)). Let z = -455 - -259. Let x = z + 193. What is the smallest value in 0.2, x, -2/7, h?
x
Let n = 0.4 - 0. Let f = 335 - 367.6. Let i = 33.9 + f. What is the fourth smallest value in -0.2, n, -4, i?
i
Let h = 47.6 - 47.2. Suppose -c - 59 = 34. Let y be -4*1 + c/(-21). What is the second biggest value in y, h, -1/3, 1?
y
Suppose -3*w - 4*r = -185, 0 = -4*w - 7*r + 6*r + 225. Suppose -57*n + w*n + 8 = 0. What is the biggest value in -4, 0.4, n?
n
Let x = -0.4 + 0.9. Let y = 0.14613 + 1.85387. Which is the biggest value? (a) y (b) x (c) -5
a
Let m = 35.00618 + -0.00618. What is the fourth smallest value in 0.2, -0.2, -5/7, m?
m
Let v = -0.608 + 5.594. Let o = v - -0.114. Let i = o + -4.9. Which is the second smallest value? (a) i (b) 0.3 (c) 4
b
Let j = 0.0674 + -2.0674. Let d = 10 - 39/4. What is the second smallest value in d, -1, j?
-1
Let o = -91.315 + -0.685. Let r = 0.116 + 111.884. Let l = o + r. What is the biggest value in l, 2/9, 0.1?
l
Let x be (1/((-2)/(-4)))/(-17). Let y = 535 + -63. Let b = 473 - y. What is the fourth biggest value in x, 0.1, b, -1?
-1
Let n = -44553/5 - -8911. What is the third biggest value in n, 0.2, 3356?
0.2
Let f = -5/16 - -129/80. Let q = -59/30 + f. Which is the second smallest value? (a) -1 (b) q (c) -2/5
b
Let q = 50414 + -50413.9. Suppose 0 = -3*t + 3*l - 1 - 2, -5*t + 31 = 4*l. Which is the smallest value? (a) t (b) q (c) -2/9
c
Let h = -14 + 19. Let r = -34.59 + -7.36. Let o = r - -42. Which is the smallest value? (a) o (b) h (c) -5
c
Suppose -8*n - 47 = -47. Which is the third smallest value? (a) -10 (b) n (c) -2 (d) 2 (e) 5
b
Let b = -0.0349 + -1.9651. What is the third biggest value in -1, 4/31, b, 0, -1/4?
-1/4
Let v = 3.907 + 0.093. Let k = 16 + -13. Let q = -0.3 - 0.2. Which is the fourth smallest value? (a) k (b) v (c) 3/5 (d) q
b
Let s(w) = -w + 35. Let x = 79 + -57. Let p be s(x). Suppose -p*z + 11*z = 0. Which is the smallest value? (a) -5 (b) z (c) 4
a
Let s = 12 + -7. Suppose 14 = 4*d + 467*u - 477*u, 4*d - 28 = -4*u. Let n = 13 - 14. What is the second biggest value in n, d, s?
s
Let d = 1.35 - 0.9. Let j = d + -0.05. Let m be (2/(-28))/(12/198 - 364/(-1617)). Which is the second biggest value? (a) -2/3 (b) j (c) m
c
Let q be 2/13 + (-126)/(-26) + (-4 - -2). Which is the third biggest value? (a) q (b) -4 (c) 0.017 (d) 2/5
c
Let k = 8.296 - 7.796. Which is the fifth smallest value? (a) k (b) 35 (c) -5 (d) -1 (e) 2
b
Let z be (-27)/(-6)*(-26)/(-234). Which is the second smallest value? (a) 19/2 (b) -4 (c) 2 (d) z
d
Suppose 5*q - 16 = 9*q. Let f = 2976.1 - 2976. What is the biggest value in q, -0.4, f, 0.9?
0.9
Let w = 13504 - 13503. Suppose -3*y - v - 16 = -6*v, 4*y - v = -27. Which is the smallest value? (a) w (b) y (c) 0
b
Let g = -0.079788 - -0.079788. Let q = -400/9 - -44. What is the fourth smallest value in -1, 3, g, q?
3
Suppose 4*x + 0*x + 3*j = 70, -x = -5*j - 6. Let i = -49/3 + x. Let y = -39 + 38.8. Which is the smallest value? (a) y (b) i (c) 3/2
b
Let l = 17/23 + 7/115. What is the third biggest value in -22, 0.4, l?
-22
Let i = 193/2 + -99. Let f = -188 - -1501/8. What is the fourth smallest value in f, 0.1, 1/6, i?
1/6
Let a = -60.1 + 60. Let f = -0.24 + -2.16. Let j = -0.6 + f. What is the second biggest value in j, a, -0.2, 0.06?
a
Let z be 81/252 + 36/(-63). What is the third smallest value in 4, 253, z?
253
Let t = 6 + 0. Let o = 10 - t. Let z = 0.03764 + -3.03764. What is the third biggest value in o, z, 5?
z
Let j(t) = 50*t - 222. Let z be j(9). Which is the biggest value? (a) -0.4 (b) z (c) -0.03
b
Let m = -219.6 + 217. Which is the second biggest value? (a) m (b) 4/5 (c) 3 (d) -3
b
Suppose -1 = -2*p - 3. Suppose -3*q - 28 = -16. Let d be 17/(-10) + (-2)/q. What is the second biggest value in p, d, -4?
d
Suppose 63*s = 78*s - 8565. Let k = s - 571. Which is the smallest value? (a) k (b) -0.4 (c) 8
b
Let i = 0.562 - 53.462. Let d = i - -56.9. Which is the second biggest value? (a) 5 (b) d (c) 10
a
Let n = 236641/15 - 15776. What is the second smallest value in -1, n, 127?
n
Suppose 7*j = j. Suppose 5*z - 2*y + 5*y - 5 = 0, 4*z = 5*y - 33. What is the fourth biggest value in 0.2, 5, z, j?
z
Let k = 1.751 + -1.951. Let i = -1.7 - 0.3. Which is the third smallest value? (a) i (b) 0 (c) k
b
Let p = 115 + -105. Suppose 0 = p*g - 0*g + 10. Let y = 733/5 - 146. Which is the biggest value? (a) 0.5 (b) g (c) 1/4 (d) y
d
Let u = 10263.5 + -10264. Which is the biggest value? (a) u (b) -0.4 (c) 3.4 (d) -4
c
Let r = -66825 - -66825.128. Let w = -19/46 - -1/2. Which is the third biggest value? (a) -4 (b) w (c) -3 (d) r
c
Let b = -56/2127 - 84713/4963. Let q = -50/3 - b. What is the third biggest value in q, 2, 3?
q
Let g = 49/30 - -13/15. Let w = 107 - 111.31. Let q = -0.31 - w. Which is the third smallest value? (a) g (b) q (c) -5 (d) -4
a
Let p be (-22)/(-143) + 2 + (-54)/13. Let u = 2370 - 2373.047. Let j = u + 0.047. Which is the biggest value? (a) j (b) p (c) 2/19
c
Let u be (198/1848)/((-12)/(-266)) - (-3)/(-8). What is the second smallest value in -6/5, -4, u, 0.1?
-6/5
Let q = 132 - 132.7. Let f = -13 + 17. Let r = f - 1. Which is the third smallest value? (a) 0.4 (b) 3/8 (c) q (d) r
a
Let i be ((-9)/(79650/20))/(1/5). What is the biggest value in -2/3, -2/5, i?
i
Let w = 1.111 + 1.109. Let z = 2423/5 + -484. Which is the third biggest value? (a) z (b) w (c) -0.5
c
Let k = -52.941 - -53.341. Let w = -42/5 + 1349/160. Which is the second biggest value? (a) w (b) 3 (c) k (d) 1/8
c
Let j = 12170 - 12171. Which is the second biggest value? (a) j (b) -2 (c) 2.2 (d) -0.2
d
Let f = 5215 + -5212. Which is the third smallest value? (a) -1/7 (b) 2/15 (c) f (d) 3/4 (e) -17
b
Let x = -1/109 + 126/1853. Let l = x + 29/85. Which is the fourth smallest value? (a) 5/2 (b) -2/7 (c) -5 (d) l
a
Let t = 3276.7 - 3277. What is the second biggest value in -4, -0.4, -1, -3/29, t?
t
Let p be (1/86)/((-29)/58). Which is the biggest value? (a) p (b) -3/4 (c) -4/3 (d) 0.2 (e) -2/5
d
Let d = 8 + -14. Let l be (84/(-630) - 46/(-120))*-2. What is the fourth smallest value in 12, l, d, 4?
12
Let t be (-23)/((-138)/(-12)) - (24/(-20))/1. What is the third biggest value in -5, t, 1/7?
-5
Let y = 5.159 - 9.159. Which is the smallest value? (a) -26 (b) 0.3 (c) y (d) 0.5
a
Let v
|
{
"pile_set_name": "DM Mathematics"
}
|
5 = -12*b for b.
5
Solve -k - 6 = -3*k for k.
3
Solve 3*a = 1 - 4 for a.
-1
Solve 36 = 6*s - 0*s for s.
6
Solve 255 = -106*o + 21*o for o.
-3
Solve -9*i = -10*i - 2 for i.
-2
Solve -27*f = -19*f for f.
0
Solve -17*n - 24 = -92 for n.
4
Solve 0 = 4*a - a - 12 for a.
4
Solve -34*f + 122 = -48 for f.
5
Solve 457 = 33*o + 193 for o.
8
Solve 132*r - 139*r = 7 for r.
-1
Solve -3359 + 3311 = -16*j for j.
3
Solve -104 = -15*h + 2*h for h.
8
Solve 0 = 13*o - 7*o - 42 for o.
7
Solve -6*q - 132 = -28*q for q.
6
Solve -5*a + 6*a = -4 for a.
-4
Solve 2*t - 157 = -169 for t.
-6
Solve 24*k - 21*k + 6 = 0 for k.
-2
Solve -34*w = -41*w + 7 for w.
1
Solve -11*d + 15*d + 16 = 0 for d.
-4
Solve -15 = -f - 10 for f.
5
Solve 43*y + 19*y = 248 for y.
4
Solve -50*r - 6*r + 112 = 0 for r.
2
Solve 5*l - 132 = -127 for l.
1
Solve 5*l - 670 + 690 = 0 for l.
-4
Solve 69 - 186 = -13*r for r.
9
Solve 3*w + 6 = -0 for w.
-2
Solve -18*b + 15 = -21*b for b.
-5
Solve -2*l = -19 + 15 for l.
2
Solve 13 = -3*c + 1 for c.
-4
Solve -28*z = 309 - 169 for z.
-5
Solve 10*t = 17*t - 14 for t.
2
Solve -58*o = -16*o - 42 for o.
1
Solve 0 = 227*z - 206*z + 126 for z.
-6
Solve -2*g + 732 = 752 for g.
-10
Solve -5*v = -33 + 13 for v.
4
Solve 13*o - 20 = 9*o for o.
5
Solve 5 = g - 2*g for g.
-5
Solve -402*y = -399*y - 21 for y.
7
Solve 17*j + 290 = -41*j for j.
-5
Solve -11*h - 15*h = 130 for h.
-5
Solve -11*w = 4*w - 9*w for w.
0
Solve 130*y = 66*y - 256 for y.
-4
Solve 8*j - 3*j - 20 = 0 for j.
4
Solve -4*l - 8*l + 60 = 0 for l.
5
Solve 43*p = 39*p - 8 for p.
-2
Solve -14*s - 19 = -33*s for s.
1
Solve -x - 8 = 3*x for x.
-2
Solve -10*a = a - 55 for a.
5
Solve 42*t = 48*t for t.
0
Solve -s - 6 = s for s.
-3
Solve m = 2*m - 3*m for m.
0
Solve -q = 5*q - 12 for q.
2
Solve 0 = 395*a - 397*a + 2 for a.
1
Solve 34*a - 49 = -117 for a.
-2
Solve -t + 0 - 7 = 0 for t.
-7
Solve -4*x - 63 + 31 = 0 for x.
-8
Solve 0 = 2*a + 35 - 41 for a.
3
Solve -6*c + 16*c = 70 for c.
7
Solve 11*m = 15*m - 4 for m.
1
Solve -18*w = 28*w + 184 for w.
-4
Solve -37 = 10*j + 23 for j.
-6
Solve -3*v + 14 - 17 = 0 for v.
-1
Solve -20*f - 4 + 84 = 0 for f.
4
Solve -28*a - 3 = 109 for a.
-4
Solve 3*o = 5 - 17 for o.
-4
Solve j = -16*j - 102 for j.
-6
Solve 2*a = 47 - 55 for a.
-4
Solve -345*o + 192 = -369*o for o.
-8
Solve 1784 = 14*f + 1658 for f.
9
Solve -792 = 72*m + 16*m for m.
-9
Solve 243*q - 254*q - 88 = 0 for q.
-8
Solve 0*o = 9*o + 18 for o.
-2
Solve 8*j - 48 = -4*j for j.
4
Solve -57 = -9*l - 57 for l.
0
Solve -210*n = -208*n - 14 for n.
7
Solve -j + 17 = 23 for j.
-6
Solve 105*q - 97*q = 8 for q.
1
Solve 6 = 16*u + 54 for u.
-3
Solve 0 = 33*c - 13*c + 40 for c.
-2
Solve -23*r + 6 = -21*r for r.
3
Solve 3*v - 13*v + 20 = 0 for v.
2
Solve -z + 7 = 8 for z.
-1
Solve 17*x + 61 = -7 for x.
-4
Solve -79*i + 88 = -57*i for i.
4
Solve -4 - 1 = 5*y for y.
-1
Solve 82*j = 78*j for j.
0
Solve 75*a = 129*a for a.
0
Solve 0 = 1135*t - 1143*t - 24 for t.
-3
Solve t - 13*t - 48 = 0 for t.
-4
Solve 8 = 120*l - 124*l for l.
-2
Solve 3*n = -147 + 132 for n.
-5
Solve -8*i = -4*i for i.
0
Solve 33 = 27*d + 60 for d.
-1
Solve -330 + 369 = -13*g for g.
-3
Solve 174*a + 1222 + 170 = 0 for a.
-8
Solve -28*p + 29*p = 2 for p.
2
Solve 0 = -132*t + 130*t + 10 for t.
5
Solve -108*q + 96*q + 72 = 0 for q.
6
Solve -441*n + 24 = -437*n for n.
6
Solve -51*z + 36 = -57*z for z.
-6
Solve 47*w + 0 + 0 = 0 for w.
0
Solve 12 = 33*t + 111 for t.
-3
Solve -7*i + 0 = 28 for i.
-4
Solve -37 = 2*q - 27 for q.
-5
Solve 0 = 20*r - 4*r - 96 for r.
6
Solve -646 + 652 = -6*f for f.
-1
Solve 45*f = 30*f + 30 for f.
2
Solve 157*u = 159*u + 4 for u.
-2
Solve -21*m + 44 = -61 for m.
5
Solve -19*a + 28*a - 45 = 0 for a.
5
Solve -12*b + 25*b = 0 for b.
0
Solve -39 = 5*h - 69 for h.
6
Solve 11 = 3*b - 4 for b.
5
Solve 8*o + 3073 = 3057 for o.
-2
Solve 70*g = 49*g + 189 for g.
9
Solve -6*b = -2*b + 16 for b.
-4
Solve 30*z - 93 = -33 for z.
2
Solve -13*c = -2*c - 55 for c.
5
Solve 37 = 9*p + 10 for p.
3
Solve 12*r - 9 = 15*r for r.
-3
Solve -8*m + 40 = 2*m for m.
4
Solve 0 = -8*z + z + 35 for z.
5
Solve -7*z + 3 = -4*z for z.
1
Solve -10 + 4 = -2*k for k.
3
Solve -239 = -4*a - 231 for a.
2
Solve -24*p = -18*p + 18 for p.
-3
Solve -12*t = 6*t + 72 for t.
-4
Solve 4*g + 0 = -4 for g.
-1
Solve i - 13 = -6 for i.
7
Solve 138*g + 24*g - 324 = 0 for g.
2
Solve -78 = -35*v - 218 for v.
-4
Solve -6*b + 7 = 1 for b.
1
Solve 34*q - 69*q = -175 for q.
5
Solve -11 = 5*g + 9 for g.
-4
Solve -24 = -20*h + 44*h for h.
-1
Solve -5*a + 7 = -23 for a.
6
Solve 0 = -26*p - 107 - 75 for p.
-7
Solve 38 = 10*m + 18 for m.
2
Solve -3*d = -6 + 21 for d.
-5
Solve -20 = 2*r + 2*r for r.
-5
Solve 61 = -n + 63 for n.
2
Solve 6 = -3*y + 3 for y.
-1
Solve 0 = 6*q + 8 + 16 for q.
-4
Solve o - 10 = -o for o.
5
Solve 0*d = -12*d + 48 for d.
4
Solve 400*t = 403*t - 21 for t.
7
Solve 245*q = 238*q + 35 for q.
5
Solve -16 = 17*c - 33 for c.
1
Solve 0 = -52*b + 56*b - 24 for b.
6
Solve 40 = -219*i + 211*i for i.
-5
Solve 23*u = -13*u - 108 for u.
-3
Solve -3*f = -322 + 337 for f.
-5
Solve -15*p + 1 = -14*p for p.
1
Solve -2*r = 7 - 1 for r.
-3
Solve -26*t = -22*t + 4 for t.
-1
Solve 18 - 6 = 4*b for b.
3
Solve -2*z - 2486 = -2502 for z.
8
Solve -5*l = 51 - 41 for l.
-2
Solve 82*d + 18 = 79*d for d.
-6
Solve -10 = 78*s - 73*s for s.
-2
Solve 4*s - 26*s = 176 for s.
-8
Solve 885*z - 440 = 830*z for z.
8
Solve -10*h + 3 = -13*h for h.
-1
Solve 0 = 4*x + 134 - 138 for x.
1
Solve 326*u = 327*u - 1 for u.
1
Solve 6*y = 14*y - 56 for y.
7
Solve 3*r - 25*r = 110 for r.
-5
Solve -130*t - 150 = -100*t for t.
-5
Solve 113*z = 122*z + 45 for z.
-5
Solve 12*t = t + 33 for t.
3
Solve 26*z - 61 = 121 for z.
7
Solve 4*u = 9*u + 15 for u.
-3
Solve 0 = -12*s + 27 + 21 for s.
4
Solve -10 = -11*h + 12 for h.
2
Solve -168 - 119 = 41*l for l.
-7
Solve -f + 3 = 3 for f.
0
Solve -4*c - 4 = -6*c for c.
2
Solve -10*d = 51*d - 183 for d.
3
Solve -3*i + 10 = 7 for i.
1
Solve 0 = -16*d + 69 - 21 for d.
3
Solve 3*u = -47 + 41 for u.
-2
Solve 6 = -5*p + 16 for p.
2
Solve 3*m + 6 = 3 for m.
-1
Solve 2 = 10*l - 68 for l.
7
Solve -2*d + 15 = 3*d for d.
3
Solve 13*d - 26 - 39 = 0 for d.
5
Solve 0 = -33*b + 7*b - 52 for b.
-2
Solve 10 = 6*q - q for q.
2
Solve -31*a - 24*a + 19*a = 0 for a.
0
Solve 6 = -9*m + 6*m for m.
-2
Solve 8 = 6*y - 4 for y.
2
Solve 6*a - a = -6*a for a.
0
Solve -11 = -5*c - 1 for c.
2
Solve 5*z = 3*z + 2 for z.
1
Solve -343*w + 30 = -353*w for w.
-3
Solve 0 = -86*n + 71*n - 75 for n.
-5
Solve -54*p = -62*p + 32 for p.
4
Solve x = 12*x - 6*x for x.
0
Solve -91 = 24*p - 11*p for p.
-7
Solve 30*c - 165 = 63*c for c.
-5
Solve 0 = -42*t + 51*t - 54 for t.
6
Solve 21*r + 2 = -40 for r.
-2
Solve -4*q + 5 = 17 for q.
-3
Solve -3*h = -14*h + 77 for h.
7
Solve -32*b + 10*b + 22 = 0 for b.
1
Solve 0 = 5*p + 3 + 7 for p.
-2
Solve -x + 5*x + 12 = 0 for x.
-3
Solve -35*x - 1200 = 85*x for x.
-10
Solve -g = -7*g for g.
0
Solve -36*x = 43*x - 79 for x.
1
Solve 0 = -70*u + 68*u + 4 for u.
2
Solve -79*u + 84*u = -20 for u.
-4
Solve 42 = -144*t + 137*t for t.
-6
Solve -7*k + 88 = 74 for k.
2
Solve 18*x - 3*x - 90 = 0 for x.
6
Solve -8*o - 5 - 35 = 0 for o.
-5
Solve -219*c = -228*c + 9 for c.
1
Solve 5*g - 9*g - 12 = 0 for g.
-3
Solve 0 = -311*b + 306*b for b.
0
Solve 178 - 166 = 6*s for s.
2
Solve 0 = 2*c - 14 + 4 for c.
5
Solve -69*v = -65*v - 4 for v.
1
Solve 18 - 14 = 4*k for k.
1
Solve -6*w + 5 - 17 = 0 for w.
-2
Solve -3*q = 3*q for q.
0
Solve 20*r - 28*r - 40 = 0 for r.
-5
Solve 156*t = 158*t for t.
0
Solve -69*v - 76*v = -1015 for v.
7
Solve -31*i + 9*i + 44 = 0 for i.
2
Solve -b + 3*b = 8 for b.
4
Solve -12*z + 16*z = 8 for z.
2
Solve 6*p - 12*p = 0 for p.
0
Solve -14 = -133*t + 119*t for t.
1
Solve -28 = -5*r - 13 for r.
3
Solve -3638 + 3602 = 6*d for d.
-6
Solve -1 = -2*r - 5 for r.
-2
Solve 38 = -w + 40 for w.
2
Solve 0 = 4*i - 13 + 21 for i.
-2
Solve 0 = 121*v + 223 + 19 for v.
-2
Solve 0 = -16*x + 17 - 113 for x.
-6
Solve -6*i = -15 + 27 for i.
-2
Solve 0 = 5*p + 39 - 14 for p.
-5
Solve 2*a + 8 = 16 for a.
4
Solve 49*z + 22*z = 639 for z.
9
Solve 12*c - 9 = -57 for c.
-4
Solve 135*l - 339 = 22*l for l.
3
Solve 0 = -40*x + 58*x - 90 for x.
5
Solve 9*t = -10*t + 76 for t.
4
Solve 47*a = 62*a + 105 for a.
-7
Solve -11*l = -
|
{
"pile_set_name": "DM Mathematics"
}
|
or of 139/131652 and 151/17172?
394956
Calculate the common denominator of 85/15462 and 68/99.
170082
What is the lowest common multiple of 764360 and 10670?
8407960
What is the common denominator of 55/1786 and 41/22?
19646
What is the smallest common multiple of 184980 and 813912?
4069560
Calculate the common denominator of -97/48288 and 19/16.
48288
Calculate the lowest common multiple of 144705 and 30.
289410
Calculate the lowest common multiple of 1286 and 59492.
38253356
What is the common denominator of -59/260 and -21/777244?
3886220
Calculate the least common multiple of 5089 and 11.
55979
Calculate the common denominator of -19/2728 and -131/1182588.
2365176
Calculate the common denominator of 19/15170 and -1/647759.
6477590
Calculate the common denominator of -85/352 and 15/1936.
3872
What is the least common multiple of 192 and 567616?
1702848
What is the common denominator of 95/4108 and 80/3081?
12324
What is the common denominator of 99/26260 and 91/8080?
105040
What is the common denominator of 173/502080 and -76/135?
4518720
Calculate the lowest common multiple of 3340 and 10.
3340
Calculate the common denominator of 21/22 and 21/62780.
690580
Calculate the least common multiple of 143 and 689.
7579
What is the least common multiple of 20636 and 8400?
6190800
Calculate the least common multiple of 20480 and 1341440.
2682880
What is the least common multiple of 12656 and 18080?
126560
Calculate the common denominator of 1/632708 and -5/12.
1898124
What is the least common multiple of 18356 and 468?
165204
What is the least common multiple of 133 and 84322?
84322
What is the lowest common multiple of 3550 and 182?
323050
Find the common denominator of -23/11816 and -89/154.
129976
What is the common denominator of 81/6668 and -31/34?
113356
Find the common denominator of 46/37 and -71/1683.
62271
Calculate the least common multiple of 73152 and 22.
804672
Calculate the smallest common multiple of 5886 and 3270.
29430
What is the smallest common multiple of 73944 and 2844?
73944
Calculate the common denominator of 139/52500 and 143/52500.
52500
Calculate the least common multiple of 471132 and 22191.
6124716
Calculate the lowest common multiple of 146745 and 704376.
3521880
What is the common denominator of -111/70 and -33/51086?
255430
Calculate the least common multiple of 2303388 and 16.
9213552
What is the lowest common multiple of 16947 and 16947?
16947
Find the common denominator of -7/161559 and 5/21.
1130913
What is the lowest common multiple of 97440 and 252?
292320
Find the common denominator of -25/7 and 59/79970.
559790
What is the common denominator of -19/56562 and -63/2266?
5825886
Calculate the lowest common multiple of 9546 and 67983.
5030742
Calculate the common denominator of 103/2970 and 89/8460.
279180
Find the common denominator of -103/30 and 167/17934.
89670
What is the smallest common multiple of 3944 and 321232?
9315728
Find the common denominator of 12/293041 and -109/251178.
1758246
What is the smallest common multiple of 286 and 64592?
839696
Calculate the common denominator of 77/63072 and 97/30.
315360
Calculate the lowest common multiple of 147234 and 1060.
1472340
Calculate the lowest common multiple of 60093 and 49167.
540837
What is the least common multiple of 17424 and 20328?
121968
Calculate the least common multiple of 608894 and 208.
4871152
What is the common denominator of -137/2064 and -67/5504?
16512
Find the common denominator of -83/14430 and -9/104.
57720
Find the common denominator of 25/2793 and -47/627.
30723
What is the least common multiple of 29699 and 27952?
475184
What is the smallest common multiple of 808980 and 1294368?
6471840
Find the common denominator of 1/155392 and -5/4.
155392
What is the lowest common multiple of 13656 and 30?
68280
What is the least common multiple of 15 and 28191?
140955
What is the lowest common multiple of 308 and 955080?
10505880
Calculate the least common multiple of 528380 and 2906090.
5812180
What is the least common multiple of 60 and 21744?
108720
What is the smallest common multiple of 206649 and 87?
5992821
What is the least common multiple of 390 and 110?
4290
What is the common denominator of 53/206385 and 187/150?
2063850
Find the common denominator of 36/1679 and -11/73.
1679
Calculate the smallest common multiple of 63 and 301944.
6340824
Calculate the lowest common multiple of 408 and 11762.
2399448
Find the common denominator of -43/314 and 53/65970.
10357290
What is the least common multiple of 2795 and 95116?
6182540
Calculate the lowest common multiple of 19200 and 4560.
364800
What is the common denominator of 41/3161 and -1/25070?
727030
Calculate the smallest common multiple of 4312 and 231.
12936
Calculate the common denominator of -82/2625 and -113/4200.
21000
Calculate the common denominator of -53/503440 and 43/9280.
2013760
Find the common denominator of -35/85454 and 103/20.
854540
What is the common denominator of 56/1131 and -53/4524?
4524
What is the smallest common multiple of 15827 and 456?
379848
Calculate the least common multiple of 921 and 71.
65391
Calculate the common denominator of -121/11232 and -103/10.
56160
Calculate the smallest common multiple of 20 and 1017120.
1017120
Calculate the common denominator of -59/440 and 43/8470.
33880
Find the common denominator of 25/312 and 59/3198.
12792
What is the common denominator of -25/671 and 76/126819?
126819
Calculate the common denominator of 79/628992 and 89/389376.
8176896
What is the common denominator of 79/46155 and -98/3315?
600015
Calculate the common denominator of -191/6240 and 13/320.
12480
Find the common denominator of 133/288 and 41/73200.
439200
Find the common denominator of -4/21 and 117/4228.
12684
Calculate the lowest common multiple of 112970 and 286.
112970
What is the lowest common multiple of 4 and 33652?
33652
Calculate the least common multiple of 313380 and 3482.
313380
What is the least common multiple of 9 and 27806?
250254
What is the common denominator of -8/3105 and 4/3?
3105
Calculate the lowest common multiple of 5883 and 1013837.
3041511
Calculate the common denominator of 59/84237 and -37/18.
505422
Find the common denominator of -123/65410 and 2/32705.
65410
What is the least common multiple of 2260375 and 29425?
24864125
Find the common denominator of -22/69 and 44/4887.
112401
What is the common denominator of -97/126364 and 105/368?
11625488
What is the lowest common multiple of 27951 and 484?
111804
What is the least common multiple of 36837 and 90046?
810414
Calculate the least common multiple of 14744 and 688.
1267984
What is the least common multiple of 36 and 232560?
232560
Calculate the common denominator of 15/255332 and 55/14922.
2297988
What is the common denominator of 57/700 and 57/280?
1400
What is the common denominator of -83/2 and -47/2171?
4342
What is the smallest common multiple of 170 and 130730?
130730
Calculate the common denominator of 139/42 and -121/654.
4578
Calculate the common denominator of 65/234758 and -103/642.
704274
Calculate the lowest common multiple of 21510 and 14340.
43020
What is the common denominator of -36/55 and 31/547?
30085
Calculate the least common multiple of 1398 and 101355.
202710
What is the common denominator of -29/16 and -37/1298140?
5192560
Calculate the smallest common multiple of 10 and 18785.
37570
What is the smallest common multiple of 1746 and 36084?
108252
What is the least common multiple of 24 and 35820?
71640
Find the common denominator of 17/639 and 29/3195.
3195
What is the smallest common multiple of 10850 and 121520?
607600
What is the common denominator of -111/22876 and 13/152?
45752
What is the lowest common multiple of 328257 and 27?
984771
What is the common denominator of 17/6945 and 58/45?
20835
Find the common denominator of -75/16856 and 117/2408.
16856
Calculate the least common multiple of 605214 and 90.
3026070
What is the common denominator of -12/7 and 58/94241?
94241
Calculate the least common multiple of 989 and 433.
428237
What is the common denominator of -83/572 and -121/8060?
88660
What is the least common multiple of 3500 and 27000?
189000
What is the common denominator of -4/7177 and -9/11?
78947
Calculate the common denomina
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 1. Let q(n) = 2*p(n) - 2*x(n). Factor q(g).
-2*(g - 1)**2*(g + 1)**2
Suppose -3*y = 3*t + 6, -2*y + y = -3*t - 6. What is v in -8*v - 15*v**3 + 12*v**2 + 11*v**3 + y*v**3 = 0?
0, 1, 2
Let i be (30/(-4) + 3)/(2*(-15)/10). Factor 15/8 - i*m - 3/8*m**2.
-3*(m - 1)*(m + 5)/8
Let w(t) be the second derivative of -t**6/30 - 11*t**5/20 - 31*t**4/12 - 7*t**3/2 - 8*t + 8. Factor w(l).
-l*(l + 1)*(l + 3)*(l + 7)
Let b(d) = -d**2 - 11*d + 2622. Let n be b(46). Determine o so that -1/2*o - 3/4*o**4 + 1/4*o**5 + n + 3/4*o**2 + 1/4*o**3 = 0.
-1, 0, 1, 2
Let n = -115 + 117. Let i(f) be the first derivative of 16/15*f**3 - 13/10*f**4 - 4/5*f - 4 + 7/5*f**n - 24/25*f**5. Find o, given that i(o) = 0.
-1, 1/4, 2/3
Let v = 17003 + -119017/7. Factor 6/7*i**2 - 2/7 - 8/7*i**3 - 8/7*i**4 + v*i.
-2*(i + 1)**2*(2*i - 1)**2/7
Let n(k) be the first derivative of 2*k**5/25 - 2*k**4/5 - 8*k**3/15 + 16*k**2/5 - 108. Factor n(z).
2*z*(z - 4)*(z - 2)*(z + 2)/5
Let n(t) = 46*t + 3406. Let x be n(-74). Suppose 24 + 2/3*y**x + 8*y = 0. What is y?
-6
Let y(o) be the third derivative of 0*o - 1/60*o**5 + 0*o**3 + 26*o**2 + 0 + 1/3*o**4. Solve y(v) = 0.
0, 8
Let n(k) = -k**2 + 5*k + 17. Let x(t) = -t**3 - 9*t**2 + 10*t + 7. Let b be x(-10). Let f be n(b). Factor 0*v + 2/3*v**4 - 2/3*v**5 - 2/3*v**2 + 2/3*v**f + 0.
-2*v**2*(v - 1)**2*(v + 1)/3
Suppose 4*c = -4 + 16. Factor 3*d**c - 106*d**5 + 109*d**5 - 3*d**3.
3*d**5
Let n(j) be the third derivative of 0 + 0*j**4 + 1/392*j**8 + 0*j - 2/35*j**5 + 0*j**6 - 5*j**2 + 3/245*j**7 + 0*j**3. Find k such that n(k) = 0.
-2, 0, 1
Let z = -14087/4 + 98705/28. Factor -2/7*l**4 - 8/7 - 12/7*l**3 - 26/7*l**2 - z*l.
-2*(l + 1)**2*(l + 2)**2/7
Let g(h) be the first derivative of h**8/2520 + h**7/1260 - h**6/135 - h**5/45 - 2*h**3 - 22. Let a(v) be the third derivative of g(v). Solve a(r) = 0 for r.
-2, -1, 0, 2
Suppose -1613*k = -1600*k. Factor k*t**2 + 3/5*t**5 + 0 - 9/5*t**4 + 6/5*t**3 + 0*t.
3*t**3*(t - 2)*(t - 1)/5
Let w = 2983 + -8944/3. What is h in -5/3*h**2 + 10/3*h - w = 0?
1
Suppose 0 = 3*p + 2*b - 177 - 9, -4*p = b - 253. Factor -4*l**4 - 5*l**3 + 32*l**2 + 3*l**4 - 9*l**4 - 3*l**3 + 32 + p*l - 2*l**5.
-2*(l - 2)*(l + 1)*(l + 2)**3
Suppose 60*y = -2*p + 64*y - 8, 5 = -2*p + 3*y. What is h in 3/10*h - 9/10*h**p + 1/5 = 0?
-1/3, 2/3
Let i(y) be the second derivative of 0*y**2 - 1/18*y**4 + 31*y + 1/3*y**3 + 0. Find u, given that i(u) = 0.
0, 3
Let f(z) be the first derivative of -14*z**3/11 + 2*z**2 - 2*z/11 - 48. Find v, given that f(v) = 0.
1/21, 1
Let t(b) = -b + 3. Let p be t(1). Factor 26*i - 21*i - 5*i**p + 0*i**2 + 10*i.
-5*i*(i - 3)
Let b(r) be the first derivative of r**5 - 15*r**4/4 - 10*r**3/3 + 30*r**2 - 40*r - 127. Factor b(m).
5*(m - 2)**2*(m - 1)*(m + 2)
Factor 0 + 0*b - 3/2*b**4 + 1/2*b**3 + b**2.
-b**2*(b - 1)*(3*b + 2)/2
Let n(c) be the first derivative of c**7/3780 - c**6/1620 - c**5/270 - 7*c**3 + 14. Let y(o) be the third derivative of n(o). Solve y(x) = 0 for x.
-1, 0, 2
Determine n, given that -2*n - 4/3 + 2*n**2 + 14/3*n**3 + 2*n**4 = 0.
-1, 2/3
Factor 816/7*i + 1496/7*i**3 - 1684/7*i**2 - 144/7 - 484/7*i**4.
-4*(i - 1)**2*(11*i - 6)**2/7
Let w(g) = -g**3 + 3*g - 2. Suppose -3*z - 1 = -4. Let l be w(z). What is r in l*r - 1/5*r**2 - 4/5*r**3 + 0 = 0?
-1/4, 0
Let n(s) be the third derivative of s**7/840 - s**6/80 - 3*s**5/80 + 7*s**4/48 - 84*s**2 + 2. Suppose n(w) = 0. What is w?
-2, 0, 1, 7
Let b(j) be the third derivative of -j**7/1470 - j**6/60 - 23*j**5/420 + j**4/12 + 4*j**3/7 - 172*j**2. What is y in b(y) = 0?
-12, -2, -1, 1
Let p = 3687 - 3685. Factor -2/5*o**2 - 2/5*o**3 + p*o - 6/5.
-2*(o - 1)**2*(o + 3)/5
Let q = 27/2 - 943/70. Let l(a) be the second derivative of 0*a**2 - q*a**5 - 1/105*a**6 + 0 + 4*a + 1/42*a**4 + 2/21*a**3. Suppose l(y) = 0. What is y?
-2, -1, 0, 1
Let t(d) = 14*d + 21. Let r(x) = -5*x - 7. Let y(k) = 11*r(k) + 4*t(k). Let g be y(-4). Factor -7*c**3 - 8*c**3 + 12*c**3 + 3*c**4 + 3*c**5 - g*c**2.
3*c**2*(c - 1)*(c + 1)**2
Let s(o) be the first derivative of 1/4*o**4 + 13 + 0*o**2 + 0*o + 0*o**3. Let s(t) = 0. Calculate t.
0
Suppose 5*i - 12*i = 13*i. Let q(t) be the second derivative of -1/16*t**4 + 0*t**3 + i + t + 0*t**2. Factor q(h).
-3*h**2/4
Let d be (-10)/(-35) - 38/(-14). Factor 24*u**3 - 21*u**d - 2*u**2 + 0*u**4 - u**4.
-u**2*(u - 2)*(u - 1)
Let y(d) be the first derivative of d**6/40 + 3*d**5/16 + d**4/2 + d**3/2 + 32*d + 11. Let k(q) be the first derivative of y(q). Factor k(j).
3*j*(j + 1)*(j + 2)**2/4
Let c = 1606 - 1603. Let s(b) be the first derivative of -4/3*b**c - 8*b**2 - 8 - 16*b. Suppose s(g) = 0. What is g?
-2
Suppose 20*n + 5 = 21*n. Suppose -k = -n*f + 2, 2*f - 3 = -1. Find s such that 0*s - 2/7*s**5 + 4/7*s**k + 0 - 2/7*s**4 + 0*s**2 = 0.
-2, 0, 1
Let g be (60/(-33))/(120/(-220)). What is a in -4 + 26/3*a - g*a**2 = 0?
3/5, 2
Let b(h) be the first derivative of 5*h**4/8 + 5*h**3/3 - 25*h**2/4 - 15*h - 422. Factor b(x).
5*(x - 2)*(x + 1)*(x + 3)/2
Suppose -23*t + 39 + 145 = 0. Let r(d) be the first derivative of 0*d - 3/10*d**4 - t - 2/3*d**3 - 2/5*d**2. Factor r(a).
-2*a*(a + 1)*(3*a + 2)/5
Determine j so that 2/3 + 2/15*j**2 + 4/5*j = 0.
-5, -1
Let u(i) be the second derivative of i**6/765 + i**5/255 + i**4/204 - 19*i**3/6 + 26*i. Let h(b) be the second derivative of u(b). Factor h(r).
2*(2*r + 1)**2/17
Determine h, given that 0*h + 2/5*h**5 + 18/5*h**3 - 12/5*h**4 - 8/5*h**2 + 0 = 0.
0, 1, 4
Let c(t) be the third derivative of -t**7/105 + t**6/24 + t**5/6 + 20*t**2. Let h(u) = -5*u**4 + 10*u**3 + 20*u**2. Let i(a) = 5*c(a) - 3*h(a). Solve i(o) = 0.
-1, 0, 2
Let y(p) be the first derivative of 3*p**6/10 - 102*p**5/25 + 63*p**4/5 + 72*p**3/5 - 202. Suppose y(q) = 0. What is q?
-2/3, 0, 6
Let h(b) be the third derivative of 11*b**6/480 + 9*b**5/20 - 5*b**4/24 + 12*b**2. Factor h(u).
u*(u + 10)*(11*u - 2)/4
Suppose -4*i = -0*i. Suppose -3*r - 3*f + 6 = 0, -19 = -2*r + f - 12. Factor -1/2*b**2 + 0*b + i - 1/4*b**r.
-b**2*(b + 2)/4
Suppose 2*a - 5*a = -5*t - 1, 0 = -a + 2*t. Find n, given that 19*n**3 + 7*n**2 - 3*n**a - 15*n**3 = 0.
-1, 0
Factor 2*m**2 + 0 + m - 5/4*m**3.
-m*(m - 2)*(5*m + 2)/4
Let k(p) be the third derivative of -p**7/560 + p**6/320 + p**5/40 - p**4/16 - 14*p**2. Factor k(d).
-3*d*(d - 2)*(d - 1)*(d + 2)/8
Solve 3*p**3 - 140*p + 16 - p**3 + 6*p**4 + 132*p + 0*p**3 - 28*p**2 = 0 for p.
-2, -1, 2/3, 2
Suppose -37*x - 28*x = -130. Determine t so that 6/11*t**x + 6/11*t + 2/11*t**3 + 2/11 = 0.
-1
Suppose 0 = -3*s + 19 + 38. Suppose 31 = 5*g - s. Factor -g*w**3 + 8*w + 13*w**3 + 3 + 9*w**2 + w.
3*(w + 1)**3
Solve -40/9 + 2/9*c**2 + 2/9*c = 0.
-5, 4
Let f(d) = 34*d**3 + 100*d**2 + 154*d + 60. Let k(v) = -509*v - 11 - 1 + 478*v - 7*v**3 - 20*v**2. Let g(a) = -3*f(a) - 14*k(a). Factor g(w).
-4*(w + 1)**2*(w + 3)
Let k(f) be the first derivative of 0*f - 2/3*f**3 + 13 + 1/4*f**4 + 1/2*f**2. Factor k(x).
x*(x - 1)**2
Let q(k) be the second derivative of 0 + 1/8*k**2 + 1/12*k**3 + 1/48*k**4 + k. Let q(v) = 0. Calculate v.
-1
Let y(c) = -4*c + 12. Let b be y(3). Let j(v) be the third derivative of 0 + 0*v + b*v**4 + 1/90*v**5 + 5*v**2 + 0*v**3. Factor j(s).
2*s**2/3
Let a(z) = -13*z**3 - 20*z**2 + 1073*z - 210. Let f(h) = -41*h**3 - 60*h**2 + 3216*h - 630. Let t(p) = -17*a(p) + 6*f(p). Factor t(j).
-5*(j - 6)*(j + 7)*(5*j - 1)
Let v = 7 + -4. Let g = 97/7 + -284/21. Factor 2/3*u**2 + 0*u + 0 + g*u**v.
u**2*(u + 2)/3
Factor 0 + 0*q + 0*q**2 - 8/9*q**4 + 4/3*q**3 - 4/9*q**5.
-4*q**3*(q - 1)*(q + 3)/9
Let i = -130062/11 + 11824. Factor 18/11*c**3 + i*c + 0 - 12/11*c**2.
2*c*(3*c - 1)**2/11
Suppose 5*k - 5*l = 500, 2*l - 145 = -k - 48. Suppose 5*z - 513 + 3 = 0. Determine u so that -z + k - 3*u + u + u**2 = 0.
-1, 3
Let i(t) be the first derivative of 9*t**4/4 - 11*t**3/3 - 8*t**2 + 4*t - 7. Factor i(m).
(m - 2)*(m + 1)*(9*m - 2)
Let k(f) be the second derivative of f**6/6 - 9*f**5/2 - 205*f**4/3 - 225*f**3 - 625*f**2/2 + 189*f. Find o, given that k(o) = 0.
-5, -1, 25
Let v be (-68)/(-20) + 132/(-330). Solve 2/5*s + 2/5*s**4 - 2/5*s**2 + 0 - 2/5*s**v = 0.
-1, 0, 1
Let r be 188/2303*(8 - 1). Let u(m) be the first derivative of 4/7*m - 1 + 4/21*m**3 + r*m**2. Find v such that u(v) = 0.
-1
Let k(b) be the second derivative of 3*b**5/20 + b**4/3 - 14*b**3/3 + 8
|
{
"pile_set_name": "DM Mathematics"
}
|
ch that 25*k**2 - 81076585*k - 48645960 = 0.
-3/5, 3243064
Determine u so that -2*u**4/11 + 12348*u**3/11 - 6722*u**2 - 456612*u/11 + 1110240/11 = 0.
-5, 2, 9, 6168
Determine w so that 22*w**3 - 7904*w**2 + 33290*w + 28400 = 0.
-8/11, 5, 355
Factor -16*w**3 + 11934736*w**2 - 11934724*w + 2983680.
-4*(w - 745920)*(2*w - 1)**2
Let -3*g**4 + 756*g**3 + 20025*g**2 - 533706*g + 512928 = 0. Calculate g.
-39, 1, 16, 274
Solve 5*g**5 - 2240*g**4 + 46860*g**3 = 0 for g.
0, 22, 426
Factor 856980*z**2 + 39052620*z + 444907445.
5*(414*z + 9433)**2
Suppose -3*d**2 - 68240109*d + 204720354 = 0. Calculate d.
-22746706, 3
Let -147725*q**3/4 + 2953435*q**2/4 - 3687800*q - 26625 = 0. What is q?
-213/29545, 10
Factor -2*v**2/9 - 37904*v/9 - 10774010/3.
-2*(v + 895)*(v + 18057)/9
Factor 3*a**3/5 + 22925166*a**2/5 + 8759286397191*a - 1927087390758948/5.
3*(a - 44)*(a + 3820883)**2/5
Determine b so that -2*b**5/11 - 31976*b**4/11 - 5798*b**3 + 2653844*b**2/11 + 2682120*b/11 - 56398608/11 = 0.
-15986, -7, 6
Find t such that t**4/9 + 4496*t**3/9 - 7*t**2/9 - 31466*t/9 + 8992/3 = 0.
-4496, -3, 1, 2
Factor -l**2/4 - 9580813*l/2 - 91791977740969/4.
-(l + 9580813)**2/4
Factor 4*r**3 + 3611052*r**2 - 28888608*r + 57777344.
4*(r - 4)**2*(r + 902771)
Factor -5*k**3 + 415290*k**2 + 125*k - 10382250.
-5*(k - 83058)*(k - 5)*(k + 5)
Find n, given that 52*n**3 + 44848*n**2 + 11499728*n + 747130880 = 0.
-382, -1280/13
Find w such that -w**3/4 + 2309*w**2/4 + 312743*w/2 + 155794 = 0.
-244, -1, 2554
Factor 4*g**2 + 1208460*g + 10875816.
4*(g + 9)*(g + 302106)
What is m in -m**2/3 + 26616*m - 878207/3 = 0?
11, 79837
Factor -904792854436*u**3/7 + 1809559075104*u**2/7 + 7609620*u + 56.
-4*(u - 2)*(475603*u + 7)**2/7
Factor 3*l**2 + 16572*l + 592704.
3*(l + 36)*(l + 5488)
Factor -2*g**3/11 + 11808248*g**2/11 - 17429340103688*g/11.
-2*g*(g - 2952062)**2/11
Factor -2*a**4 + 4003564*a**3 - 2671419449160*a**2 + 594176223406348436*a + 594178894829801162.
-2*(a - 667261)**3*(a + 1)
Let -2*m**5/7 + 584*m**4/7 + 32330*m**3 + 4062148*m**2/7 - 612720*m = 0. What is m?
-207, -20, 0, 1, 518
Determine x so that -x**2 + 86194189*x + 86194190 = 0.
-1, 86194190
Factor 2*h**2/15 - 17992*h/15 + 35864.
2*(h - 8966)*(h - 30)/15
Factor 2*c**3 - 1833920*c**2 - 1833922*c.
2*c*(c - 916961)*(c + 1)
Factor -g**2/3 - 2122*g/3 - 10585/3.
-(g + 5)*(g + 2117)/3
What is v in -2*v**3 - 4253654*v**2 - 2261698670790*v - 2261694417138 = 0?
-1063413, -1
Solve -2*r**3 + 188*r**2 + 118*r - 236592 = 0 for r.
-31, 53, 72
Factor 5*d**3 + 509194880*d**2.
5*d**2*(d + 101838976)
Factor -2*s**2/7 - 5109528*s/7 + 10219064/7.
-2*(s - 2)*(s + 2554766)/7
Solve -105*y**3 - 68155*y**2 - 7488790*y - 712600 = 0 for y.
-509, -140, -2/21
Suppose 9*t**5/4 + 1965*t**4/4 + 2691*t**3/4 - 809457*t**2/4 - 67743*t + 134805 = 0. Calculate t.
-215, -22, -1, 2/3, 19
Suppose -3*k**4/7 + 250587*k**3/7 - 747169755*k**2 - 109939476375*k/7 - 104709037500/7 = 0. Calculate k.
-20, -1, 41775
Determine i, given that 2*i**4/7 + 43364*i**3/7 + 33554430*i**2 - 1881824400*i/7 = 0.
-10845, 0, 8
Let 840*j**5 - 48404*j**4 + 73224*j**3 + 176028*j**2 + 52216*j - 1344 = 0. Calculate j.
-1, -2/5, 1/42, 3, 56
Factor -12*g**3 + 6495*g**2 - 76644*g + 228636.
-3*(g - 6)**2*(4*g - 2117)
What is o in -2*o**2/11 + 60841736*o/11 - 462714604936712/11 = 0?
15210434
Let 4*c**2 + 25472228*c - 178305792 = 0. Calculate c.
-6368064, 7
Suppose -5*v**3 - 6845190*v**2 - 150591760*v = 0. Calculate v.
-1369016, -22, 0
Solve x**2 - 477854*x - 477855 = 0 for x.
-1, 477855
Determine w, given that -2*w**3/7 - 15008*w**2 + 20562758*w/7 + 41545724/7 = 0.
-52723, -2, 197
Solve 3*b**2 - 490581*b + 11281776 = 0 for b.
23, 163504
Solve -n**5/5 - 12213*n**4/5 - 61023*n**3/5 + 207557*n**2/5 + 256368*n/5 = 0 for n.
-12208, -7, -1, 0, 3
Factor 4*i**2 - 135214120*i - 135214124.
4*(i - 33803531)*(i + 1)
Let 388*j**2 + 68987548*j - 2844848 = 0. Calculate j.
-177803, 4/97
Solve 3*t**3/4 - 318591*t**2/2 - 3185973*t/4 - 637197 = 0.
-4, -1, 212399
Factor 5*x**3 - 24145*x**2 - 948720*x - 2628720.
5*(x - 4868)*(x + 3)*(x + 36)
Factor -2*v**3 - 364516*v**2 - 84096474*v.
-2*v*(v + 231)*(v + 182027)
Factor -3*a**3 - 3448*a**2 - 4572*a + 22960.
-(a - 2)*(a + 1148)*(3*a + 10)
Factor m**2/3 - 441933*m - 22538872/3.
(m - 1325816)*(m + 17)/3
Factor -3*j**3 + 77376*j**2 - 499075164*j + 1995062832.
-3*(j - 12894)**2*(j - 4)
Solve -n**4 - 459*n**3 - 3020*n**2 + 65088*n = 0 for n.
-452, -16, 0, 9
Factor -268*l**2/9 + 912802*l/9 + 6812/3.
-2*(l - 3406)*(134*l + 3)/9
Find y, given that y**2/5 - 485351898*y/5 + 58891616223050601/5 = 0.
242675949
Find x, given that x**5 - 373*x**4 + 33145*x**3 - 844183*x**2 + 6878098*x - 6066688 = 0.
1, 17, 82, 256
Let 2*u**5/11 + 1126*u**4/11 - 37900*u**3/11 - 66898544*u**2/11 + 201130496*u/11 + 267990016/11 = 0. Calculate u.
-392, -1, 4, 218
Solve 23*q**2/4 - 329201*q - 858795/4 = 0.
-15/23, 57253
Determine p, given that -2*p**2/13 + 33096*p/13 - 231574/13 = 0.
7, 16541
Factor -3*t**2/8 - 16249029*t/4 + 97494201/8.
-3*(t - 3)*(t + 10832689)/8
Find j, given that -5*j**3 + 540240*j**2 - 635282695*j + 634742460 = 0.
1, 1188, 106859
Factor -k**3/5 + 167162*k**2/5 + 133732*k + 668664/5.
-(k - 167166)*(k + 2)**2/5
Solve -4*v**5 - 5432*v**4 - 150388*v**3 + 5011248*v**2 - 9377424*v = 0.
-1329, -49, 0, 2, 18
Let 3*i**2 - 44430*i + 5506875 = 0. What is i?
125, 14685
Factor -3*o**2 + 1648067328*o - 226343826468421632.
-3*(o - 274677888)**2
Determine s, given that -4*s**4 + 149100*s**3 - 3575892*s**2 - 7599100*s - 3874104 = 0.
-1, 26, 37251
Factor m**2/4 + 323133*m/4 + 17120431/2.
(m + 106)*(m + 323027)/4
Let 2*i**4 - 663724*i**3 + 55048270058*i**2 + 2974058304984*i + 40156320219912 = 0. Calculate i.
-27, 165958
Factor 3*l**3/5 - 244707*l**2/5 + 18095997*l/5 - 66939993.
3*(l - 81495)*(l - 37)**2/5
Factor i**3 - 2067*i**2 - 189468*i - 370660.
(i - 2155)*(i + 2)*(i + 86)
Factor -2*w**2/9 - 8146*w/9 + 4413940/3.
-2*(w - 1245)*(w + 5318)/9
Factor -r**2 - 73567614*r - 1353048457413249.
-(r + 36783807)**2
Solve a**5/8 - 11*a**4/4 - 909*a**3/4 - 5129*a**2/2 - 59431*a/8 - 20355/4 = 0.
-23, -10, -3, -1, 59
Let z**5/11 + 389*z**4/11 - 3653*z**3/11 - 28249*z**2/11 + 332*z + 27860/11 = 0. Calculate z.
-398, -5, -1, 1, 14
Solve 4*u**5/9 - 2492140*u**4/9 + 43130428588*u**3 - 43130151684*u**2 = 0 for u.
0, 1, 311517
Let -3*g**3 + 708024*g**2 - 41774124015*g - 83551080150 = 0. What is g?
-2, 118005
Suppose m**4/5 - 3721*m**3/5 + 1623727*m**2/5 + 9842937*m/5 + 2962944 = 0. What is m?
-3, 512, 3215
Find k such that -4*k**2 + 1453424*k + 5813760 = 0.
-4, 363360
Find o such that 2*o**2/3 - 1500*o - 45200/3 = 0.
-10, 2260
Determine s so that 2*s**3/5 - 127558*s**2/5 - 13287256*s/5 - 26064264/5 = 0.
-102, -2, 63883
Let 18328*n**3 - 206238*n**2 + 50942*n - 132 = 0. Calculate n.
6/2291, 1/4, 11
Factor -4554813675*q**2 - 92814630*q - 472827.
-3*(38965*q + 397)**2
Solve -2*a**5/3 - 998*a**4/3 - 11208*a**3 - 126656*a**2/3 + 3084928*a/3 - 1792736 = 0 for a.
-463, -22, 2, 6
Solve g**2/4 + 10501*g/2 + 1163568 = 0.
-20778, -224
Find w such that -w**5/7 + 27*w**4 + 6431*w**3/7 - 77985*w**2/7 + 29450*w = 0.
-38, 0, 5, 217
Solve 961*c**4/9 + 598331*c**3/3 - 2037222*c**2 + 780096*c + 26051616 = 0.
-1878, -3, 204/31
Find c such that 6*c**5 + 396800*c**4 - 7011466*c**3 + 35720964*c**2 - 38103232*c - 16934656 = 0.
-66151, -1/3, 2, 8
Find n, given that -4*n**2 + 243036*n + 22636944 = 0.
-93, 60852
What is z in -4*z**2 - 38802648*z - 77605280 = 0?
-9700660, -2
Find r, given that -539*r**3 - 2075174*r**2 - 92400*r = 0.
-3850, -24/539, 0
Suppose 36*n**5 + 2584*n**4 - 8040*n**3 + 2800*n**2 + 8004*n - 5384 = 0. What is n?
-673/9, -1, 1, 2
Find u such that 4*u**3 - 97440*u**2 - 78439924*u + 78537360 = 0.
-781, 1, 25140
Factor -2*s**2/15 + 1582154*s.
-2*s*(s - 11866155)/15
What is f in -2*f**5 - 26026*f**4 - 84577918*f**3 + 593347426*f**2 + 84577920*f - 593321400 = 0?
-6510, -1, 1, 7
Factor 2*o**3/7 + 18292*o**2/7 + 255786*o/7 + 821880/7.
2*(o + 5)*(o + 9)*(o + 9132)/7
Solve c**3/2 - 44097*c**2/2 + 22048*c = 0.
0, 1, 44096
Solve -5*a**4 - 8460920*a**3 - 3579392205840*a**2 - 28634731523840*a - 57269192299520 = 0.
-846088, -4
Find s, given that -s**5/2 + 411*s**4 - 34955*s**3 + 768990*s**2 + 1751831*s/2 - 1610361 = 0.
-2, 1, 47, 729
Suppose 3*g*
|
{
"pile_set_name": "DM Mathematics"
}
|
the greatest common divisor of 6 and 1182.
6
What is the greatest common divisor of 72 and 312?
24
Calculate the highest common factor of 238 and 68.
34
What is the highest common factor of 8868 and 60?
12
Calculate the highest common factor of 2030 and 770.
70
What is the highest common factor of 1269 and 1504?
47
Calculate the highest common divisor of 216 and 144.
72
Calculate the greatest common factor of 134 and 4690.
134
Calculate the highest common divisor of 1037 and 102.
17
What is the greatest common factor of 6893 and 113?
113
What is the highest common factor of 850 and 34?
34
What is the greatest common factor of 4389 and 836?
209
What is the highest common factor of 8335 and 5?
5
Calculate the greatest common factor of 858 and 234.
78
What is the greatest common divisor of 780 and 4?
4
Calculate the highest common factor of 3430 and 1190.
70
Calculate the highest common factor of 44 and 852.
4
What is the highest common divisor of 220 and 16?
4
What is the highest common divisor of 186 and 3534?
186
What is the highest common factor of 7198 and 2242?
118
Calculate the highest common divisor of 20604 and 68.
68
Calculate the greatest common factor of 477 and 9.
9
Calculate the highest common factor of 12 and 10932.
12
What is the highest common factor of 45 and 555?
15
What is the highest common divisor of 41676 and 276?
276
Calculate the greatest common divisor of 47 and 47.
47
Calculate the greatest common divisor of 1107 and 540.
27
Calculate the highest common divisor of 336 and 483.
21
What is the highest common divisor of 703 and 608?
19
Calculate the greatest common factor of 12 and 276.
12
Calculate the highest common factor of 11 and 19217.
11
What is the highest common factor of 354 and 20709?
177
Calculate the greatest common divisor of 84 and 3054.
6
Calculate the greatest common divisor of 24 and 67.
1
Calculate the highest common factor of 54 and 54.
54
Calculate the greatest common factor of 740 and 140.
20
Calculate the highest common divisor of 1540 and 280.
140
Calculate the highest common factor of 34866 and 117.
117
Calculate the highest common factor of 567 and 441.
63
Calculate the greatest common factor of 33000 and 24.
24
What is the highest common factor of 301 and 43?
43
Calculate the greatest common divisor of 16489 and 44.
11
Calculate the greatest common divisor of 909 and 808.
101
What is the highest common divisor of 550 and 22?
22
What is the greatest common divisor of 2520 and 1064?
56
Calculate the highest common factor of 513 and 741.
57
Calculate the greatest common factor of 44 and 32.
4
What is the highest common factor of 745 and 2533?
149
Calculate the highest common divisor of 7 and 4963.
7
Calculate the greatest common divisor of 4 and 718.
2
Calculate the highest common divisor of 226 and 84298.
226
Calculate the greatest common divisor of 2 and 3.
1
What is the greatest common factor of 1603 and 7?
7
What is the highest common factor of 295 and 472?
59
Calculate the greatest common factor of 14596 and 820.
164
What is the greatest common divisor of 264 and 552?
24
Calculate the greatest common divisor of 72 and 180.
36
What is the greatest common factor of 351 and 13?
13
What is the greatest common factor of 500 and 60?
20
Calculate the greatest common divisor of 36 and 1116.
36
Calculate the greatest common factor of 1269 and 94.
47
What is the highest common divisor of 92 and 115?
23
What is the greatest common factor of 13 and 702?
13
What is the highest common factor of 924 and 60?
12
Calculate the highest common factor of 240 and 135.
15
What is the greatest common divisor of 527 and 17?
17
What is the greatest common divisor of 912 and 208?
16
Calculate the greatest common factor of 26 and 169.
13
Calculate the highest common divisor of 481 and 259.
37
What is the greatest common divisor of 100 and 12550?
50
What is the highest common factor of 70 and 13930?
70
What is the highest common factor of 4 and 452?
4
Calculate the greatest common factor of 63 and 441.
63
What is the highest common divisor of 217 and 155?
31
Calculate the highest common divisor of 4164 and 60.
12
Calculate the highest common factor of 1353 and 33.
33
What is the greatest common factor of 3700 and 25?
25
Calculate the highest common factor of 3525 and 282.
141
Calculate the highest common factor of 240 and 1830.
30
Calculate the highest common divisor of 58586 and 22.
22
Calculate the highest common factor of 53 and 583.
53
What is the highest common factor of 24 and 588?
12
Calculate the greatest common divisor of 40069 and 34.
17
Calculate the greatest common divisor of 5425 and 425.
25
Calculate the highest common factor of 195 and 645.
15
What is the greatest common factor of 117 and 180?
9
Calculate the greatest common divisor of 56775 and 75.
75
Calculate the highest common factor of 18 and 1629.
9
Calculate the highest common divisor of 1971 and 81.
27
What is the highest common divisor of 66 and 102?
6
What is the highest common factor of 506 and 230?
46
Calculate the highest common factor of 11 and 22.
11
What is the highest common divisor of 1737 and 45?
9
Calculate the highest common factor of 207 and 30843.
207
What is the highest common factor of 18540 and 9?
9
Calculate the highest common divisor of 847 and 77.
77
What is the greatest common divisor of 195 and 650?
65
What is the greatest common divisor of 1924 and 12?
4
Calculate the greatest common divisor of 826 and 56.
14
Calculate the greatest common divisor of 930 and 10.
10
Calculate the highest common factor of 45 and 81.
9
Calculate the greatest common factor of 143 and 253.
11
What is the highest common divisor of 351 and 81?
27
Calculate the greatest common factor of 4 and 227.
1
Calculate the greatest common factor of 2712 and 30.
6
What is the greatest common factor of 3013 and 69?
23
What is the greatest common factor of 205 and 492?
41
What is the highest common factor of 588 and 56?
28
What is the highest common factor of 18 and 261?
9
Calculate the greatest common divisor of 3509 and 58.
29
What is the greatest common factor of 344 and 16?
8
Calculate the greatest common factor of 15 and 1055.
5
Calculate the greatest common divisor of 25 and 5675.
25
Calculate the greatest common factor of 2911 and 284.
71
Calculate the highest common factor of 935 and 22.
11
What is the greatest common factor of 8601 and 611?
47
Calculate the greatest common factor of 88 and 572.
44
Calculate the highest common divisor of 16 and 6.
2
Calculate the highest common divisor of 37 and 1.
1
Calculate the highest common divisor of 1411 and 85.
17
Calculate the highest common divisor of 6 and 402.
6
What is the highest common factor of 44 and 55?
11
What is the greatest common divisor of 1134 and 168?
42
What is the greatest common factor of 468 and 30?
6
Calculate the highest common divisor of 3546 and 90.
18
Calculate the greatest common factor of 37842 and 68.
34
What is the highest common divisor of 30887 and 67?
67
Calculate the greatest common divisor of 17811 and 27.
9
Calculate the highest common factor of 2190 and 949.
73
What is the greatest common divisor of 245 and 147?
49
Calculate the greatest common factor of 480 and 1704.
24
Calculate the greatest common divisor of 247 and 65.
13
Calculate the greatest common factor of 93 and 775.
31
Calculate the greatest common factor of 180 and 1152.
36
What is the greatest common factor of 30 and 45?
15
What is the greatest common divisor of 228 and 817?
19
What is the highest common divisor of 153 and 3009?
51
What is the greatest common factor of 80 and 265?
5
What is the highest common factor of 19 and 57?
19
Calculate the highest common divisor of 222 and 962.
74
Calculate the highest common divisor of 14 and 1211.
7
Calculate the greatest common divisor of 95 and 76.
19
What is the greatest common divisor of 10 and 5670?
10
Calculate the greatest common factor of 114 and 25878.
114
Calculate the highest common divisor of 778 and 8.
2
Calculate the greatest common divisor of 33015 and 31.
31
What is the greatest common factor of 5 and 20?
5
What is the highest common factor of 64 and 52?
4
Calculate the highest common divisor of 9 and 33.
3
Calculate the greatest common factor of 1078 an
|
{
"pile_set_name": "DM Mathematics"
}
|
pose 2*b + 5*g + 117 = c*b, 5*g + 244 = 2*b. What are the prime factors of b?
127
Suppose 0*m = 2*m - 2098. Suppose -153 + m = 4*x. List the prime factors of x.
2, 7
List the prime factors of ((-6)/7)/(-2*7/499604).
2, 3, 2549
Suppose -14*y = -9*y - 25. Suppose -4*t - d = 946 + 336, y*t + d = -1603. Let b = t + 466. List the prime factors of b.
5, 29
Suppose -2*d + 4*d + y = 585, -5*d + 1425 = -5*y. Suppose -q = -2*l - d, l + 1441 = -9*q + 14*q. List the prime factors of q.
2, 3
Let i be (-2 - 3)*-1*1. Let w be 86/18 - (-1 + 49/63). Suppose -w*b = -i*h - 650, -2*b + h = 2*b - 529. What are the prime factors of b?
7, 19
Let c = 9 + -78. Let d = -59 - c. Suppose 13*k - 273 = d*k. What are the prime factors of k?
7, 13
Let s = 1450 - 690. Suppose -204 = 2*j - s. List the prime factors of j.
2, 139
Let a be ((-8)/(-4))/(-8)*-4*11. Suppose -5 = -4*u + a. Suppose u*v - 72 = 4*y, 0*v + 3*v - 52 = y. List the prime factors of v.
17
Let w be (-40)/(-18) - 4/18. What are the prime factors of (-180)/30 + 2766/(w - 0)?
3, 17
Suppose 0*i + i - 69 = 0. Let f = -73 + i. What are the prime factors of (7/f)/((-4410)/(-552) - 8)?
7, 23
Suppose 5*r + 2088 = 2*g, r = -3*g + 4*g - 1044. Let i(f) = 17*f**2 - 27*f + 9. Let m be i(5). Suppose g = 5*d + m. What are the prime factors of d?
149
Suppose 360*z = 376*z - 355232. List the prime factors of z.
2, 17, 653
Let f = 50 - 59. Let r be 5 - 3/1*f/(-9). Suppose 4*c = -4*b + 356, -r*b = -4*b + 4*c + 166. What are the prime factors of b?
3, 29
Suppose 1519 = 7*w - 39*d + 36*d, 0 = 2*w - 4*d - 412. What are the prime factors of w?
2, 5, 11
Let s(v) be the second derivative of v**4/12 + 35*v**2/2 - 31*v. List the prime factors of s(16).
3, 97
Let o = -2009 + 3389. Suppose -o = -10*s + 7*s. Suppose 11*t - s = t. What are the prime factors of t?
2, 23
Let s(a) = a**3 - a**2 - 2*a + 432. Let z(x) = x**2 + 8*x + 7. Let i be z(-7). List the prime factors of s(i).
2, 3
Suppose -2*y - 8260 = -4*t, 4*y - 6*y - 2071 = -t. What are the prime factors of t?
2063
Suppose 240*d - 281*d = -308074. What are the prime factors of d?
2, 13, 17
Let c(u) = 2*u**2 + 11*u + 28. Let k be c(-3). List the prime factors of 362 - -1 - (8 + k + -21).
3, 11
Let t be (333/(-6))/((2/1)/(-36)). Let n = t + -500. List the prime factors of n.
499
Suppose 3*n + 2*c + 6 = 0, -2*c + 0 = -n + 6. Suppose f = -2*b + 344, n*f - 3*f = 6. What are the prime factors of b?
173
Suppose 5 = -2*f + 11. Suppose 0 = -5*o + 2*t + 26, -4*t + 13 = 4*o - 3*t. Suppose -f*u = -o*u + 3. List the prime factors of u.
3
List the prime factors of (4*((-28)/(-294) + 100514/(-84)))/(-2).
2393
Suppose 51820 = -507*i + 508*i + 4*y, -27 = 3*y. What are the prime factors of i?
2, 7, 463
Let w(d) = 5*d**2 - 9*d - 146. Let g be w(24). Suppose 0*x - 1888 = -3*x - a, -4*x = 2*a - g. What are the prime factors of x?
17, 37
Let t = -5822 + 16846. What are the prime factors of t?
2, 13, 53
Let q(j) = j**3 + 15*j**2 + 6*j - 263. Let v be q(-13). Suppose h + 4*h = 265. Let i = h + v. What are the prime factors of i?
2, 5
Let x = -14 - -14. Let y(g) = 223*g - 404. Let w be y(5). Suppose 9*z + x*z = w. What are the prime factors of z?
79
Let t be 2/3 - 1390/(-3). Let b be 12/(-3)*-1 - 4*67. Let k = b + t. List the prime factors of k.
2, 5
Suppose 1831503 + 3226551 = 158*v. What are the prime factors of v?
3, 3557
Let w = 6559 + 2313. What are the prime factors of w?
2, 1109
Let r(q) = 305*q**2 + 109*q - 701. List the prime factors of r(7).
43, 349
Suppose -3*f = -2*y + 19, 0 = -5*y - 3*f + 7 + 9. Suppose 12 = -z + 4*b - 22, -y*z + 4*b = 186. Let w = z - -72. What are the prime factors of w?
2, 17
Suppose -3*m - 364 = -c, 3*c - 1128 = 4*m - 7*m. Suppose 501 = 4*d - 5*l, 4*l - c = -3*d + 5*l. What are the prime factors of d?
2, 31
Let t be (-168)/66 - -2 - 1930/11. Let z = t + 313. What are the prime factors of z?
137
Suppose 62 = -25*h + 162. Suppose 0 = 5*x + h*w - 1816, 0*x = 2*x + 4*w - 736. List the prime factors of x.
2, 3, 5
Let b(u) = u**2 - 9*u + 19. Let g be b(6). Suppose 3*k - 2*k + v = -g, 10 = 2*k - v. Suppose 5*r - 26 = -2*m + r, 54 = k*m + r. List the prime factors of m.
19
Suppose -5*q + 64 = -a, -q - 11 = a + 35. Let r be 3108/a + (-4)/7. Let n = 23 - r. What are the prime factors of n?
3, 29
Suppose 0 = 4*z + 1498 - 1510. List the prime factors of (6/5)/z*(1190 + 5).
2, 239
Suppose 5*r - r - 22094 = 2*u, 4*r + 7*u = 22049. List the prime factors of r.
5521
Let g = 45404 + -8090. What are the prime factors of g?
2, 3, 691
Suppose -54*h = -102964 - 329954. What are the prime factors of h?
8017
Let f = -763 + 4522. List the prime factors of f.
3, 7, 179
Let d(b) = b**3 + 57*b**2 + 281*b - 64. List the prime factors of d(-44).
2, 5, 7, 13
Let x(l) = 22*l**2 + 14*l + 65. Suppose -8*d - 10 = -6*d. What are the prime factors of x(d)?
5, 109
Suppose 8 = 4*m, -m = -4*y - 0*m + 418. Let r = 175 + y. List the prime factors of r.
2, 5, 7
Let x be ((-45)/6)/((-1)/6). Suppose x = 3*a - 2*a. Let k = a - 37. List the prime factors of k.
2
Let l = -1425 - -568. Let x = l - -1605. List the prime factors of x.
2, 11, 17
Suppose 4*c + 6*t = 3*t, 2*t = 0. Suppose -2*x + 5*v = -c*x - 13, 0 = -4*x - 4*v + 96. Suppose -9*d = -x*d + 820. List the prime factors of d.
2, 41
Suppose 0 = -23*j + 18*j + 2860. Let c = -1755 + j. List the prime factors of 104/(-40) - -3 - c/5.
3, 79
Let w(g) = 5*g - 6*g + 0*g - 4 - 8. Let z be w(3). What are the prime factors of z/(-1) - (2 - (-1 - -2))?
2, 7
Let k(s) = -8*s - 2. Let t be k(8). Let g(q) = 13*q**2 - 7*q + 27. Let w be g(4). Let v = t + w. What are the prime factors of v?
3, 47
Let z be 4/3 + 2752/6. Suppose z = 9*y - 467. What are the prime factors of y?
103
Let k = 17732 + -12495. What are the prime factors of k?
5237
Suppose 2*x + 8 = 0, 0 = -3*n - 9*x + 4*x - 92. List the prime factors of n/((9/(-21))/((-100)/(-14))).
2, 5
Suppose -5*l = -5*m + 180, -2*l - 2*l - 5*m - 180 = 0. Let j = -35 - l. Suppose 9*u - 800 = j*u. What are the prime factors of u?
2, 5
Let y = -43 - -45. Suppose -w - 23 = 5*j, -y*w + 6*w + j - 3 = 0. Suppose w*z - 132 = z. What are the prime factors of z?
2, 3, 11
Suppose -p = -x + 62776, -2*x + 48852 = 5*p - 76679. What are the prime factors of x?
62773
Suppose 6*h - 4 = 4*h. Suppose 2*k + v - 5*v - h = 0, 0 = -v. Let z(f) = 106*f**2 + 4*f - 3. What are the prime factors of z(k)?
107
Let i(o) = -o**3 - 4*o**2 - 4*o - 11. Let z be i(-4). Suppose 2*k = -z*c + 2734, 4*c = 4*k + 5*c - 5504. What are the prime factors of k?
3, 17
Let f = -44647 + 116424. List the prime factors of f.
71777
Suppose -2*p + 4*g = -p - 2, -2*p + 2*g + 4 = 0. Suppose p*d - 2*v = -0*v + 1726, d + 5*v = 845. What are the prime factors of d?
2, 5, 43
Suppose -36*a + 406321 = 12*s - 31*a, 2*a - 33849 = -s. What are the prime factors of s?
33863
Let y be (3 + -11 - 4)*(-5)/15. Suppose 14*a + y*a - 3618 = 0. What are the prime factors of a?
3, 67
Suppose 1972 = 17*i - 6987. Let q = -307 + i. What are the prime factors of q?
2, 5, 11
Let z(s) = s**2 + 2*s - 4. Let a be z(2). Let t(j) = 43*j**2 + 17*j - 41. What are the prime factors of t(a)?
5, 11, 13
Let g(z) be the third derivative of z**5/10 + 47*z**4/8 + 7*z**3/3 + 2*z**2 - 11*z. List the prime factors of g(-27).
7, 83
Let b = 1655 + -2621. Let m = b - -1579. What are the prime factors of m?
613
Suppose -16 = 4*b, 9262 = 3*u - 26*b + 31*b. What are the prime factors of u?
2, 7, 13, 17
What are the prime factors of (-983)/((-2630)/290 + 9)*(1 + 1)?
29, 983
List the prime factors of 52/364 - ((-3996)/7 - -2).
569
Let t = -252 - -248. What are the prime factors of t + 10 + -5 - -642?
643
Suppose 7 = 4*i + 3*i. Let x = 2 + i. Suppose 4*q - 4*f = 256, 134 = 2*q + x*f - 19. What are the prime factors of q?
3, 23
Let u(z) = -2*z**2 + 57*z + 116. Let h be u(-2). Let m(l) = -11*l + 0 - l**2 + l - 13. What are the prime factors of m(h)?
11
Suppose 152*s = 115*s + 660117. What are the prime factors of s?
3, 19, 313
Let i(c) be the first derivative of 23*c**4/4 + 4*c**3/3 - 3*c**2/2 + 12*c - 155. List the prime factors of i(3).
2, 3, 5, 11
Suppose 5*r + 3*c = 342869, -79*c - 68593 = -r - 82*c. List the prime factors of r.
191, 359
Suppose 21*c = 25*c + 2920. Let y be (c/15)/((-4)/54). Suppose -g = l - 129, 5*l - y = -0*l - g. Wh
|
{
"pile_set_name": "DM Mathematics"
}
|
tor of 208 and 12573951.
13
Calculate the greatest common factor of 50419 and 80591.
397
What is the highest common divisor of 14784 and 2175789?
231
What is the greatest common divisor of 494078 and 310?
62
Calculate the greatest common divisor of 8 and 700927.
1
What is the highest common factor of 593673 and 6?
3
What is the greatest common divisor of 619801 and 686?
343
What is the greatest common divisor of 347 and 79643093?
347
What is the greatest common divisor of 534270 and 55?
55
What is the greatest common divisor of 176330 and 59990?
70
Calculate the greatest common divisor of 167535 and 622863.
459
Calculate the greatest common divisor of 558 and 194892939.
279
What is the greatest common factor of 2667 and 1945005?
381
Calculate the highest common factor of 160444 and 3376.
4
Calculate the greatest common factor of 79161 and 177.
3
Calculate the highest common divisor of 399 and 6952290.
57
Calculate the greatest common divisor of 659716 and 4192.
524
Calculate the greatest common factor of 6994876 and 56854.
1834
Calculate the greatest common divisor of 1360122 and 18.
6
What is the greatest common divisor of 1625 and 369681?
13
What is the greatest common factor of 5012529 and 37417?
71
Calculate the greatest common factor of 810028727 and 134.
67
Calculate the greatest common divisor of 121 and 1469962329.
121
What is the greatest common divisor of 30836 and 29497?
13
Calculate the highest common factor of 38863 and 158497446.
3533
Calculate the highest common factor of 58617406 and 16099.
947
What is the greatest common factor of 10293780 and 5250?
210
What is the greatest common factor of 72861 and 3282168?
489
What is the highest common factor of 39387551 and 2261?
133
Calculate the highest common divisor of 486240987 and 51.
51
What is the highest common factor of 720 and 221970?
30
What is the greatest common factor of 192140963 and 259?
259
What is the greatest common divisor of 1715901 and 6357?
489
What is the highest common factor of 726 and 2418790?
242
Calculate the greatest common divisor of 4110 and 1424937.
411
Calculate the greatest common divisor of 11264127 and 1237323.
6411
What is the greatest common factor of 18594774 and 1584?
198
Calculate the highest common divisor of 504431 and 6213.
19
What is the greatest common divisor of 2436 and 162041908?
812
What is the greatest common divisor of 182004 and 1002153?
87
What is the highest common divisor of 13826310 and 4650?
930
Calculate the greatest common divisor of 825 and 129484905.
165
What is the greatest common divisor of 1962 and 806346?
18
Calculate the greatest common factor of 1156765610 and 195.
65
Calculate the greatest common divisor of 500554384 and 1942.
1942
What is the greatest common factor of 125723 and 1274?
13
What is the highest common factor of 517117965 and 494?
247
Calculate the highest common factor of 24930 and 3354.
6
Calculate the highest common factor of 179454 and 32576339.
2719
Calculate the highest common factor of 6156 and 1075356.
324
Calculate the greatest common divisor of 885848529 and 174.
87
What is the highest common divisor of 47448 and 24390?
18
Calculate the highest common divisor of 9504930 and 555.
555
What is the highest common divisor of 679952 and 1352?
104
What is the greatest common divisor of 2772551 and 194?
97
What is the greatest common factor of 1499904 and 3328?
256
What is the highest common divisor of 391 and 10288544?
23
What is the greatest common factor of 14744120 and 185920?
3320
Calculate the highest common divisor of 1208 and 2717292716.
604
Calculate the highest common divisor of 16601875 and 292900.
2525
What is the highest common factor of 273 and 1585647?
21
What is the highest common divisor of 349 and 386?
1
What is the highest common factor of 208 and 30049?
1
Calculate the greatest common factor of 716 and 4986403.
179
Calculate the highest common divisor of 1582 and 1195201.
791
Calculate the highest common factor of 461338 and 43193.
919
What is the highest common divisor of 25490091 and 3069?
1023
Calculate the highest common divisor of 106 and 14564983.
53
Calculate the greatest common divisor of 9469 and 1921.
17
What is the greatest common divisor of 200867903 and 26571?
8857
Calculate the greatest common divisor of 13 and 3005533.
1
Calculate the highest common divisor of 33678144 and 41622.
5946
What is the highest common divisor of 6163074 and 1891?
61
Calculate the highest common factor of 16 and 988723352.
8
What is the greatest common factor of 315 and 4858665?
105
Calculate the greatest common factor of 3060704 and 14544.
1616
Calculate the highest common divisor of 59458 and 584598.
434
Calculate the highest common divisor of 3381 and 7488033.
147
What is the greatest common factor of 829404 and 24?
12
What is the highest common factor of 231889 and 626881?
211
What is the greatest common factor of 225712009 and 17?
17
What is the highest common factor of 72 and 91644248?
8
What is the highest common factor of 230658 and 23182168?
2078
What is the highest common divisor of 96093 and 9111040?
3559
Calculate the highest common divisor of 15048 and 768526440.
5016
Calculate the highest common factor of 39305021 and 1981.
1981
What is the highest common factor of 4477002 and 54?
6
What is the highest common divisor of 30839109 and 399?
399
What is the highest common divisor of 112 and 1484140?
28
Calculate the greatest common factor of 720126 and 150.
6
What is the greatest common factor of 4622500 and 125?
125
Calculate the highest common factor of 2997 and 135070128.
333
Calculate the highest common factor of 4400 and 5551600.
400
What is the highest common divisor of 1007 and 1832189?
19
What is the highest common divisor of 39450584 and 1258?
74
What is the greatest common divisor of 15 and 5808355?
5
Calculate the greatest common divisor of 160 and 350876720.
80
Calculate the greatest common divisor of 219 and 653734345.
73
Calculate the highest common divisor of 612 and 3574811.
17
Calculate the greatest common factor of 16327 and 25723.
29
What is the greatest common factor of 4616 and 270499331?
577
What is the greatest common divisor of 35788 and 3801697?
389
Calculate the highest common factor of 9615 and 126240.
15
What is the highest common divisor of 849 and 47332316?
283
What is the highest common divisor of 216 and 33527646?
18
What is the greatest common divisor of 18698549 and 2056?
257
Calculate the greatest common divisor of 25 and 14782810.
5
What is the greatest common factor of 544 and 269992?
8
What is the greatest common divisor of 393885 and 6300?
45
What is the greatest common factor of 16528029 and 10251?
3417
What is the greatest common factor of 858 and 5520801?
429
Calculate the greatest common factor of 202422 and 2629.
11
Calculate the highest common factor of 180288 and 121444.
1252
What is the greatest common factor of 4424 and 21018187?
79
What is the greatest common divisor of 9032 and 85141277?
1129
Calculate the highest common divisor of 860 and 311872.
4
What is the highest common factor of 1412680224 and 288?
96
What is the greatest common divisor of 1018523 and 55?
11
Calculate the greatest common factor of 1054 and 18736834.
62
What is the highest common factor of 31674206 and 202?
202
What is the highest common divisor of 3713 and 206585?
79
Calculate the highest common divisor of 366235 and 4539.
89
What is the greatest common factor of 1586 and 35613142?
122
Calculate the greatest common factor of 502690 and 2998398.
5914
Calculate the greatest common factor of 16265 and 9695.
5
What is the highest common divisor of 5791227 and 1956?
489
Calculate the highest common factor of 196219 and 10516.
239
Calculate the greatest common factor of 139240 and 988840.
2360
Calculate the highest common factor of 2451852 and 36828.
1116
What is the greatest common factor of 278663 and 221353?
11
Calculate the greatest common divisor of 104102784 and 32.
32
What is the greatest common factor of 64872 and 2156676?
636
What is the highest common divisor of 2104 and 343941406?
526
Calculate the highest common factor of 54800217 and 95841.
4167
What is the greatest common factor of 2160 and 29828?
4
Calculate the highest common factor of 783120 and
|
{
"pile_set_name": "DM Mathematics"
}
|
/(j*j*j**0)))/j)**(2/55))**(-50)*(j**1)**(-2/67)*j**3/(j*j*j/(j*j/(j**(1/2)*j))*j*j) assuming j is positive.
j**(-4935/1474)
Simplify ((k*k*k*k*k/(k/k**2))/k**(-2))**(-2/5)*(((k*k**(-1/3)/k*k*k)/k)**27)**31 assuming k is positive.
k**(2774/5)
Simplify ((j*(j**42*j)/j)**22*(j/(j*j/(j*j**(-3/4)))*j)/(j*j*j/j**(-1/10)))**23 assuming j is positive.
j**(433849/20)
Simplify ((k**(-1/3))**(-2/129))**(11/2)/((k**(2/25)/k)/k*k*k**(-1/5))**(-17) assuming k is positive.
k**(-183937/9675)
Simplify ((p**1/p**3)/(p*p*p/p**(-1/4)*p)**15)/(p*p/(p/(p**(2/7)/p))*(p*p*p*p**(-1/7)*p)/p)**(-23) assuming p is positive.
p**(183/28)
Simplify (((p/(p*p**(3/4)/p)*p)/p*p*p**10)/((p**(-39)*p)/(p/p**26)))**(-29/2) assuming p is positive.
p**(-2813/8)
Simplify (((o*o*o*(o/(o**(2/9)*o))/o)/o**(5/6))/(o**(1/4))**18)/((o*o*o**(-1))**(-4/21)*o/(o*o**1)*o**(5/6)*o) assuming o is positive.
o**(-529/126)
Simplify ((a*(a/(a/(a/(a/(a**(-1/2)/a)))))/a)**50*((a**(1/2)*a)/a*a)**(-4/7))/((a*((a*a**(-1)/a)/a)/a)**(1/6)*a*a**(-2/7)*a**(-4/7)) assuming a is positive.
a**(-227/3)
Simplify (a**23/(a/(a/(a/(a**(-1/9)*a)))))/(a**(-6)/a**(2/3)) assuming a is positive.
a**(266/9)
Simplify ((((j*j/j**(-2/7)*j*j*j)/j**(2/17))/(((j*j**(-3/4)/j)/j)/j*j**0))**(9/5))**(32/7) assuming j is positive.
j**(271368/4165)
Simplify (t**2*t*t/(t/(t/((t**5*t)/t))))**(-47)*(t**6*t**6/t)/((t**6/t)/((t*((t/t**(4/7))/t)/t)/t)) assuming t is positive.
t**(360/7)
Simplify (((b*b*b**10)/b)/b*b*b*b/b**(-6/5))**(-50)/(b**4/((b/b**(-2/11))/b)*b**(3/2)*b/b**8) assuming b is positive.
b**(-15583/22)
Simplify k**(-3)/(k*((k/(k/k**(-2/5)))/k)/k*k)*(k*k**0*k)**(-3/7)*((k*k*k/k**2)/k*k**(-1/4))**(-26) assuming k is positive.
k**(213/70)
Simplify s**(-1)*s**(-5/3)/s*(s**1)**(-29)*(s**(1/5)/(s/((s*s**(-2/3))/s)))**(7/6) assuming s is positive.
s**(-1547/45)
Simplify g/(g/(g/(g*g**2/g)))*(g**3/g)/g*g/(g*g**4)*g**(-1)/g*((g**1)**(-7/3))**(-2/25) assuming g is positive.
g**(-436/75)
Simplify (((o*o**(1/8)*o*o)/((o**(-10)*o)/o)*(o*o/((((o/o**3)/o)/o)/o))/o**4)**8)**(-48) assuming o is positive.
o**(-6192)
Simplify (((f**5*f)/f*f*f/f**(-2/15))/(f**(-3)*f*f**(-6)))/((f/((f*f**(-4)*f)/f))**(-2/33))**(-1/2) assuming f is positive.
f**(2477/165)
Simplify (p/(p/(p**(1/10)/p)*p)*p/p**1)/(p**2*p)**31*((((p*p*p/(p**(-2/9)/p*p))/p)/p*p)/(p**(-9)/p))/(p**(-2/3))**(-46) assuming p is positive.
p**(-10201/90)
Simplify (q*q**(3/4)*q**(2/7))**(-8)/((q**(1/5)*q/(q**(-6)/q))/(q**1*q*q/(q*q*((q**(-3)/q)/q)/q*q*q*q)*q*q)) assuming q is positive.
q**(-647/35)
Simplify (((r/(r**(3/17)/r)*r)/(r*r**(-27)))**(-28))**(-28) assuming r is positive.
r**(384160/17)
Simplify ((u**(-24))**(-12)/(u*u/(u**(-20)*u)*u)**(-23))**(-2/193) assuming u is positive.
u**(-1588/193)
Simplify (i**(2/7)/i)**31*(i**(2/7)*i)**(-2/17)*(i**1)**13*i**(-1)*(i*i/(i*(i/(i*i**6)*i*i)/i))/i assuming i is positive.
i**(-90/17)
Simplify ((m**2)**(-7/8))**(-23)/((m/(m/(m**(-2)*m)*m))/(m/(m**(1/2)/m)))**30 assuming m is positive.
m**(581/4)
Simplify ((f**(3/11)/f)**43*(f**(-3)/f)**37)**(-20/7) assuming f is positive.
f**(39440/77)
Simplify (((l*(l/(l**(-1/4)/l))/l)**(1/28)*l**(1/2)/l*(l/l**(2/3))/l*l)**(2/59))**(-43/5) assuming l is positive.
l**(1247/49560)
Simplify ((i**(7/6))**(-17)/((i*(i**7*i)/i)/(i*i*i*i**(-1))))**32 assuming i is positive.
i**(-2480/3)
Simplify ((f**(-7)/f)**(-9/7)/((f*((f*f/(f*f/(f/f**(3/4))*f))/f*f)/f*f)/f**24))**(8/5) assuming f is positive.
f**(1906/35)
Simplify (c**(1/9)*((c**(-6)*c)/c)/c)**(4/11)*(c/(c**(1/2)/c)*c**(-2/19))/(c**(-2)/(c*c**3*c)) assuming c is positive.
c**(22157/3762)
Simplify ((j/(j**(-3)/j))**(4/21)*(j*j/j**(-1/2))**(1/27))**(42/13) assuming j is positive.
j**(395/117)
Simplify (((b**(5/2)*b)/b*(b*b*b**(-9))/b*b)/((b*(b/(b*(b**(-2/5)/b)/b))/b)/(b/(b**(3/5)*b))))**(-7/5) assuming b is positive.
b**(21/2)
Simplify ((k/((k*k**(2/3)*k)/k))**(3/13))**(2/43)*(k/(k*k*k*k**(2/11)*k)*k**(-2/7))**(-7/2) assuming k is positive.
k**(149165/12298)
Simplify (((m*m**0)/(m/(m*m**(3/8))*m)*(m/m**(2/5))**(-22))**(-2/11))**35 assuming m is positive.
m**(3591/44)
Simplify (i**1/i**(7/5))**(-16/3)*(i**(-1/3)*i/(i/(i**1/i)))/(i**1*i**(-7)) assuming i is positive.
i**(39/5)
Simplify ((b**2/b)/(b*b**1/b*b)*(b/b**(-2/3))**(-4/11))/(b**(-2/3)*b*b*b**(-4)/b*b)**45 assuming b is positive.
b**(3907/33)
Simplify ((((k*k*k**(-24))/k)/k)**(-1/35)*(k*k**(-7/2)*k)**5)**(5/8) assuming k is positive.
k**(-477/112)
Simplify ((r**(1/24)/((r/r**(4/17))/r*r))/((r*r**(-1/37))/r*r**(-17)/r))**24 assuming r is positive.
r**(261221/629)
Simplify ((p**1)**(2/15)/((p/(p**(-2/7)*p))/p)**(-11))**(-3/32) assuming p is positive.
p**(811/1120)
Simplify ((i**(-2)/(i/(i*i/i**5)))/((((i*i*i/i**(-1/5))/i)/i*i)/i**(-4)))/((i**(2/3))**(-6/7)*(i**(-1))**(-35/6)) assuming i is positive.
i**(-3667/210)
Simplify ((i*i**(1/11)*i)**12/(i**(-9)*i)**(-12/5))**39 assuming i is positive.
i**(12636/55)
Simplify m**(-6/7)/(m**(-4)/m)*(m**0/m)/(m*(m**(-8)/m)/m*m*m*m)*(m*m*m/m**(-2)*m)**(-9)/(m/(m**(-4/7)*m)*m**(-1/10)/m) assuming m is positive.
m**(-3103/70)
Simplify (d/(d*d**(-3)/d))/(d*d**2)*(d*d**1)/((d/d**1*d)/d)*(d**(-4)/(d**(2/3)*d))/((d/d**(-3/2))/d*d**1/d) assuming d is positive.
d**(-25/6)
Simplify ((r**(1/2)/r)**(-3/16)/(((r/(r*r**(-10)))/r)/r*r**(-20)/r))**(2/37) assuming r is positive.
r**(419/592)
Simplify ((r/r**19*r*(r*r**(-1/31))/r)/(r**45*r**(1/2)))**(-13) assuming r is positive.
r**(50401/62)
Simplify (a/(a*a**2))**(-5)*(a**2*a)**1*((a*((a*a**(-3))/a)/a)/(a*a/(a*a**(-4/3)*a)))/(((a*a**(-2/17))/a)/(a**(4/9)*a)) assuming a is positive.
a**(1565/153)
Simplify ((h/(h/h**(-5/4)*h*h))**8*(h/((h*h**(-1/4))/h))**(4/9))**11 assuming h is positive.
h**(-2519/9)
Simplify ((t*t**(-2))/t)/t**(-2)*(t**1)**(2/63)*((t/(t*(t/(t/(t*t**(-2/5))))/t*t)*t)/t*t)**(2/107)/(t/(t/((t**0*t)/t))*t**(5/3)) assuming t is positive.
t**(-54853/33705)
Simplify ((b/b**(2/5))**(26/5))**(-28/5)*((b**(-1/4))**(-18/5))**(-39) assuming b is positive.
b**(-13143/250)
Simplify ((h*(h*h**(-3/7)*h)/h)**(2/41))**(1/8)/(h**(-1/10)*h**(-3/5)*(h**1)**27) assuming h is positive.
h**(-150907/5740)
Simplify (t**(-10)*t*t*t*(t**3*t)/t)**(-2/21)*(t**(1/2)*t)**49/(t**(1/4))**3 assuming t is positive.
t**(6143/84)
Simplify (((g**(1/4))**(23/2)/((g**8*g)/(g*g*g/g**(-9))))**(24/5))**(6/31) assuming g is positive.
g**(846/155)
Simplify (q**(-14)/(q*q/q**(-1/13)*q)*(q**(1/8))**(3/5))**(-1/24) assuming q is positive.
q**(2947/4160)
Simplify (((a/(a/((a**(3/8)/a)/a)))**(-29)/((a*a*a/(a**6*a))/(a*a*a/((a*(a/(a/(a*a*a**14))*a*a)/a)/a*a))))**48)**26 assuming a is positive.
a**45084
Simplify (((r*r*r/(r*r**0))**(2/49)*(r/(r**8/r*r*r)*r)/r*r*((r*r**(1/10)/r)/r)/r*r)**42)**(3/4) assuming r is positive.
r**(-34479/140)
Simplify (h**(-2/29)/h**(-14)*h**4/(h**17/h))**44 assuming h is positive.
h**(2464/29)
Simplify ((g**(-2/3))**(-18))**(1/43)*(g**(-2/7)*g)**(4/17)/(g/(g/(g/g**(2/7)*g)))**(-18) assuming g is positive.
g**(160184/5117)
Simplify ((u**(3/2)/u)**30)**(-1/9)/(((u/u**(2/15))/(u/(u/(u*(u*((u**(1/3)/u*u)/u)/u*u*u*u)/u))*u))/(u**(-6)/((u**(2/13)/u*u*u*u)/u))) assuming u is positive.
u**(-413/65)
Simplify (z*z**(-2)*z*z*z**(-8)/z)/(z/((z/z**(-9))/z*z))**11 assuming z is positive.
z**91
Simplify ((w*w*(w/(w*w**(-2)))/w)/(w*w**(1/7)))**(-10)/(((w*w**(-2/5)/w)/w)**20)**(8/3) assuming w is positive.
w**(1178/21)
Simplify (b**41/b*b**(-39)*b**(-13)/((b/b**48)/b))**14 assuming b is positive.
b**504
Simplify ((((d*d/d**8)/d**(10/3))**(-2/89))**10)**(1/40) assuming d is positive.
d**(14/267)
Simplify (((w**(1/3))**(3/16)*(w**(2/5)*w)/(w/w**(2/33)*w))**(3/4))**(-7/5) assuming w is positive.
w**(8813/17600)
Simplify (d/(d**(-2/5)*d)*d*d**13)**(-19)/(d*d**(-1/2)*d*d/(d*d/(d/(d*(d/(d**10/d))/d))))**(-1/7) assuming d is positive.
d**(-19057/70)
Simplify (o**7/o**(-1/12))/((o/o**1)/o)**(-10)*(o**(-2)/o**(-5/2))/(o**(-2/7))**(-30/7) assuming o is positive.
o**(-2141/588)
Simplify ((n*n*n/n**(6/7)*n*n*n**(2/39)/n*n*n)**(-23))**(-1/5) assuming n is positive.
n**(32614/1365)
Simplify n*n**(-5)*n*(n/(n**1/n))/n*n*(n**1/n)**(-44)*((n**(-1/4))**(4/7))**(-23/3) assuming n is positive.
n**(-19/21)
Simplify ((b**(-1)/b*b*b*b*b**(1/3))/(b**(1/3))**38)/((b**1)**(-2/119)/(b**(1/5))**(-43)) assuming b is positive.
b**(-35551/1785)
Simplify (((d*(d**(-1/6)*d)/d)/d)/(d*(d*(d*d*(
|
{
"pile_set_name": "DM Mathematics"
}
|
ue in y, d, r?
y
Let m = -1 - -1. Let d be (-1)/3 + ((-2150)/570 - -4). Which is the second smallest value? (a) m (b) -0.2 (c) d
c
Let t = 101 + -108. Which is the biggest value? (a) 5 (b) -1 (c) t
a
Let y be (-72)/16*(-1)/(-3). Let p = 2.929 - -0.131. Let k = 0.06 - p. What is the third smallest value in -2/9, k, y?
-2/9
Let k = -0.8 + 0.81. Let y = k + 3.99. Let h = 5 - 4.7. Which is the second smallest value? (a) y (b) 1/8 (c) h
c
Suppose -12 = -3*y, 24 = 4*t + 3*y - y. Let b = 0.1 + 0.4. Let v = -3.5 - b. What is the smallest value in t, -3/5, v?
v
Suppose 103*y - 98*y - 10 = 0. What is the fourth smallest value in -5, 0.2, 0.4, y?
y
Let r = 1446180456426/23 + -124313672267920983/1977080. Let h = r + -3/10745. Let v = h + 118. Which is the smallest value? (a) 3 (b) 0.1 (c) v
c
Let w = -2/169 - 1167/1352. Let o be 3/(-3) - (-37)/24. Let f = o + w. Which is the third smallest value? (a) 2 (b) 0 (c) f
a
Let j = -0.1 - -0.1. Let w = -0.1 + j. Let i = 16.5 - 17. Which is the second biggest value? (a) i (b) 0.5 (c) w
c
Let o = 15.5 - 15. What is the second smallest value in o, 4, 3?
3
Let u = 509/6 - 85. Let j = 2 + -8. Let p = -1 - j. What is the second biggest value in 3/4, p, u?
3/4
Let n = -131/5 - -27. Let f be (-27 + 1*-2)/(-30). Let j = n - f. Which is the third biggest value? (a) 4 (b) j (c) 1/9
b
Let g be 2/6 + (-20)/6. Let t = 3.89 - -0.11. Which is the biggest value? (a) 2/11 (b) t (c) g
b
Let m be 27/(-6) - (-2)/4. What is the biggest value in 1, 2, -0.4, m?
2
Let w = -15.3 - -15. Which is the third biggest value? (a) 5 (b) 2/5 (c) w
c
Let n = 0.38 - 17.38. Which is the second smallest value? (a) -5 (b) 4 (c) n
a
Let l(f) = 7*f**2 + 44*f + 6. Let z be l(-6). Which is the fourth biggest value? (a) -0.5 (b) z (c) -4 (d) -2/13
b
Let f be (-156)/459 - (-6)/51. Let w be -3 + (-1 - -2) - -2. Let z = -1 + 5. Which is the second biggest value? (a) z (b) f (c) w
c
Let l = 0.14 - -0.36. Let s = 2.3 + -1.9. Which is the third biggest value? (a) l (b) -4/3 (c) s
b
Let i be 1/(-1)*6/((-48)/8). Which is the second smallest value? (a) 2/13 (b) i (c) -0.19
a
Let z(x) = x**3 - 3*x**2 + 3*x - 1. Let m be z(3). Suppose -7 = t - m. Which is the second biggest value? (a) 7 (b) t (c) 2/7
b
Suppose 11 = 14*x + 81. Let q = -0.1 - -0.1. Which is the second smallest value? (a) 3 (b) x (c) q
c
Let w be (1 - 48/10) + 4. Let l = -11 - -6. Which is the second smallest value? (a) l (b) 1 (c) w
c
Suppose -4*i = 21 - 85. Suppose 3*o - 14 = 2*x - 3*x, -2*o + i = 2*x. Which is the second biggest value? (a) 0.2 (b) x (c) 2/3
c
Let h = 33 - 32.8. What is the second biggest value in 0, -3, 9, h?
h
Let t = -158/15 - -31/3. What is the biggest value in 1, t, -2/5?
1
Suppose 0 = -5*j + 20, 0 = 2*y + j + 3 - 17. Which is the third smallest value? (a) y (b) 1/2 (c) 2/3
a
Let j = -7 + 7. Suppose -15 + j = -3*h. Let f = 2 + -1.5. Which is the biggest value? (a) f (b) 1 (c) h
c
Let i = 5 + -3. Let v = -3.8 + 0.8. Let t = v + i. Which is the second smallest value? (a) 1/2 (b) -3 (c) t
c
Let g be 27/15 + 1/5. Let w = -10 - -15. What is the third biggest value in g, -2/21, w?
-2/21
Let d = 148 - 147.6. What is the third smallest value in 0, 1/4, 0.04, d?
1/4
Let s = 0.035 + -5.035. Let j = -1 - -1.1. Which is the second biggest value? (a) 0.2 (b) s (c) j
c
Let n be (1/(-2))/(10/60). Let b = -9 - -15. Let i = -10 + b. What is the third biggest value in 1, n, i?
i
Let x = -0.06 + 0. Let o = x - 0.34. What is the third biggest value in -4, -3, o?
-4
Let h = -8 - -5. Let r be (h/(-15))/(4/(-10)). Let o = -0.3 - -0.7. What is the smallest value in 5, r, o?
r
Let w = -13 + 5. Let f = 8 + w. What is the second biggest value in 3, -0.4, f?
f
Let n = -0.33 + -0.07. Which is the second biggest value? (a) n (b) -20/3 (c) -1/2
c
Let l = 1.72 + 0.18. Let m = l + -2.8. Let y = m - -0.5. Which is the third biggest value? (a) 2/21 (b) 0.4 (c) y
c
Let x(n) = -2*n + 20. Let s be x(9). Let o = -3 + 2.95. Which is the biggest value? (a) s (b) -0.3 (c) o
a
Suppose 0 = 10*g - 14*g + 12. Let d = 0 + -5. Which is the biggest value? (a) g (b) d (c) -2
a
Let k = 20 - 21. What is the second smallest value in k, -0.1, 2?
-0.1
Let g be 6/(-14)*(-2)/(-3). Let p = -0.332 + 0.032. Which is the third biggest value? (a) -0.1 (b) p (c) g
b
Let x = 9/16 - 151/240. Let a = x - -2/3. What is the second biggest value in 3, a, -4/5?
a
Let k = 0.3 - -1.7. Let h = -6 + k. What is the biggest value in h, 3, 5?
5
Let q = 0.8 + -0.3. Suppose g + 2*t - 12 = -0*t, 3*t - 8 = g. Which is the biggest value? (a) q (b) -1 (c) g
c
Let o be (-3)/(-2 - (-22)/12). Let y = -171 + o. Let a = 3215/21 + y. What is the third biggest value in 2, 0, a?
0
Let f = 230 - 3908/17. Which is the biggest value? (a) f (b) -2 (c) 3/4
c
Suppose 0 = 3*i + 4*p - 0 + 16, -p - 4 = -2*i. Let t = i - 0. Let n be (t - 9/(-12))*-4. What is the second biggest value in n, 1, 1/3?
1/3
Let i be -3*(-4)/132*2. Let j = 0.06 - 0.06. What is the second biggest value in 1/5, i, j?
i
Let r be (-6 - 392/(-63)) + 5/(-9). What is the biggest value in 1/5, -0.3, r?
1/5
Let j(q) = 3*q - 2. Let g be j(2). Let h = -18 + 19. Which is the second biggest value? (a) g (b) h (c) -1
b
Let q = -0.1 + 0.3. Let o be (6/(-30))/(2/4). Let h be (-2)/10*5/2. What is the third smallest value in o, h, q?
q
Let c = 2.02 - 0.02. Let l be 0*2/(-10) + (-2)/(-5). What is the smallest value in 1/7, c, l?
1/7
Let o be ((-1)/2)/(10/8*-1). Which is the second smallest value? (a) 2 (b) 2/23 (c) o (d) -4
b
Let n = -11 + 7. Let p = n - -4.2. Let w = -1 + 0.8. Which is the second biggest value? (a) w (b) 1 (c) p
c
Suppose 5*f = n + 95, -3*n = -2*f + 5*f - 75. Let h be (f/3)/(-5) - -2. What is the third biggest value in h, 0.3, 1/5?
1/5
Let t = 0.9 - 0.52. Let g = 0.4 - t. Let m = -0.38 - g. Which is the third smallest value? (a) 1 (b) -3 (c) m
a
Let l = 2.2 + -1.2. Let p = -0.9 - -1.1. What is the second biggest value in 2/3, l, p?
2/3
Let u = 1.9 + -5.9. Let h = 0.4 - -0.1. Which is the biggest value? (a) -2/7 (b) u (c) h
c
Let g = -6.7 - -7. Let l be (-2)/(-4)*4/(-11). Which is the second biggest value? (a) l (b) g (c) -1
a
Suppose z + 72 = 3*z. Suppose j + z - 8 = 0. Let q be (-54)/j + 3/(-2). What is the third biggest value in 0.2, -2/15, q?
-2/15
Let o = 0.18 + 0.04. Let j = -5.22 + o. Which is the biggest value? (a) -1 (b) j (c) 5
c
Let v = 144 - 717/5. Let h = -12 + 11.2. Let q = 1.1 + h. What is the third biggest value in v, 1/8, q?
1/8
Let m = -130.7 - -131. Which is the biggest value? (a) -2/9 (b) m (c) 0
b
Let x = 10 + -15. Let h = 4 - 3.8. What is the second smallest value in -3, h, x?
-3
Let i be (2/(-5))/((-216)/(-30) + -6). Which is the second smallest value? (a) 0.5 (b) 5 (c) i
a
Let t = -118.9 - -112. Let y = 0.9 + t. Let n = -6.2 - y. Which is the smallest value? (a) n (b) 0.5 (c) 4
a
Let u = 0.8 - 1. Which is the smallest value? (a) u (b) 4 (c) 0.5
a
Suppose 0 = 6*d - 2*d - 4*z + 20, 5*d + 13 = -z. What is the smallest value in d, 3, -5?
-5
Let g = -1 + 5. Suppose -4*d - 4 = 4. Let q be (-3)/(-9) + 38/(-42). Which is the third biggest value? (a) d (b) g (c) q
a
Let c be 4/6*63 + -2. Let j be (-6)/(-21) + c/(-91). Suppose 3*m + 2 = 11. What is the second smallest value in m, j, 0.3?
0.3
Suppose -37 = -x + 5*y - 0*y, -26 = -3*x - 2*y. Let z = x - 38/3. Which is the second smallest value? (a) 3 (b) -0.2 (c) z
b
Let s = 14 - 16.4. Let f = s - -0.4. Suppose 3*u = -u. Which is the smallest value? (a) -1 (b) f (c) u
b
Suppose -3*s = -4*d - 9, -2*s - 5 = -0*s + d. Which is the third biggest value? (a) s (b) -2/7 (c) 3/2
a
Suppose -3*v + 3 = 0, 5*v - 7 - 8 = -5*q. Which is the smallest value? (a) -5 (b) 8 (c) q
a
Let l = 1 - 0.9. Let u = 51 - 51.2. Which is the biggest value? (a) l (b) -4 (c) u
a
Let j be (1/3)/((-5)/(-5)). Which is the second smallest value? (a) 1 (b) j (c) 2/11
b
Let j be 23/(-207)*3/(-2). Which is the smallest value? (a) j (b) -2 (c) 3/7
b
Let m be (-1 - 2) + -2 - -3. Let s be 3 - (0 - -1) - 2. What is the smallest value in 1/4, m, s?
m
Suppose -2*s + 0*s = 10. Which is the third biggest value? (a) -0.2 (b) s (c) 2
b
Let a =
|
{
"pile_set_name": "DM Mathematics"
}
|
**3 + 0*w**2 + 3 + 2*w**2 + 0 + 7*w as h + l*w**4 + a*w**2 + t*w + p*w**3 and give a.
2
Rearrange (-r + r + r)*(3960*r**2 + 2877*r**2 + 1476*r**2) to the form z*r + f + h*r**2 + x*r**3 and give x.
8313
Rearrange -4 + 4 + 2*y - 118 + 118 + 47*y + (2*y + 5*y - 5*y)*(-3 + 1 + 4) + y + 3 - 3 - 3*y - y + 3*y to the form b + v*y and give v.
53
Express -61334*y - 61304*y + 3 - 2*y**2 + 2*y**3 + 122684*y + y**4 in the form n*y + d*y**2 + j + r*y**3 + t*y**4 and give t.
1
Express (-a + 184 + 2198 + 1009)*(-3*a + 7*a + 5*a)*(2 + 0 - 1)*(-3 + 3 + 2) in the form q + w*a**2 + h*a and give w.
-18
Express -4*w**2 - 128*w + 13*w**2 + 126*w + (2*w + 1 - 1)*(58*w + 175 - 175) + 3*w**2 - 3*w**2 - w**2 in the form a*w**2 + z*w + u and give z.
-2
Express 7 + 3 + 3 + 13*d + 0*d + 1 as h + y*d and give h.
14
Express 115*r**2 - 63*r**2 + 1 - 30*r + 7*r**3 + 0 - 51*r**2 as b + z*r**3 + l*r**2 + c*r and give b.
1
Express -3*p**3 - 2*p**3 + 6*p**3 + 563*p - 563*p + 64*p**3 + (0*p**2 + 0*p**2 + p**2)*(0 - p + 0) as i*p**3 + a*p + f + q*p**2 and give i.
64
Rearrange 159*u**2 + 161*u**2 - 624*u**2 - 20 + 157*u**2 + 149*u**2 + 2*u**3 - 2*u to m + r*u**3 + q*u + h*u**2 and give m.
-20
Express -3*u - 106 - 174 - 15 + 16 - 84 as f + v*u and give v.
-3
Rearrange -101377 - 101324 + 54*c + 202648 to the form f + a*c and give f.
-53
Express 786*z - 6945*z - 5292*z as o*z + k and give o.
-11451
Rearrange (-786*x**2 + 786*x**2 + 816*x**4)*(7 + 37 + 2) to d + i*x**3 + v*x**4 + z*x + t*x**2 and give v.
37536
Express 3 - a - 3 + (-6 + 2 + 3)*(-6*a + 3*a + a) - 4 - 5*a + 4 + 18*a - 28*a + 13*a + (-3 - 3 + 10)*(8*a - 2*a - 2*a) as r + g*a and give g.
15
Rearrange (3 - 3 + 2)*(k - 5*k - 4*k) + (-k - 7*k + 6 + 6*k)*(-1 + 2 + 0) + 0*k + k + 1 + 0*k to the form u*k + w and give w.
7
Express 30 - 67 - 95*i + 37 + 1424*i in the form p*i + s and give s.
0
Express -3297*b**4 - 5*b**2 + 6*b**2 - 29 - 56 - 49 + 3326*b**4 as n*b**2 + v*b**4 + c + q*b**3 + r*b and give n.
1
Rearrange -910*d + 37 - 890*d + 1797*d - d**2 to the form i*d + c + r*d**2 and give i.
-3
Rearrange 4*j**3 + 5161*j**2 + 5170*j**2 - 2*j**3 + 863*j**4 - 10331*j**2 + 2 + 2*j to h*j**4 + u*j + n*j**3 + t*j**2 + l and give u.
2
Express 108*s**2 - 5*s**3 - 19433*s + 9709*s + 9724*s in the form o*s**3 + t + i*s**2 + x*s and give i.
108
Rearrange 1147*w**4 - w + 1157*w**4 - 6 - 2*w**2 - 2287*w**4 to v + n*w**3 + h*w**4 + t*w**2 + c*w and give v.
-6
Express -195 - 196 - 203 - l**3 + 336*l**2 + 592 in the form o + d*l**3 + p*l + w*l**2 and give d.
-1
Rearrange (-509 - n + 6*n + 501)*(4 - 2 + 0) + (2*n + 2*n - 3*n)*(-1 + 3 - 3) to l*n + h and give l.
9
Rearrange -1226*f + 8*f**2 - 123 - f**2 - 3*f**2 + 1226*f to s*f**2 + l + c*f and give l.
-123
Rearrange -3*b + 3*b + 3*b**2 + 5*b**2 - 4*b**2 + b**2 + (-46*b - 9*b + 11*b)*(8*b - b + 6*b) to the form z*b + o*b**2 + u and give o.
-567
Express (3*m**2 - 2 - 4*m**2 + 3)*(-63 - 53 + 107 - 10*m**2) as f + j*m + p*m**2 + d*m**3 + k*m**4 and give d.
0
Express ((-3 + 2 + 3)*(-3 - 2*h**2 + 3) - 1 + 1 - h**2)*(301859 - 301859 - 3795*h) as z + l*h + f*h**3 + a*h**2 and give f.
18975
Rearrange 35*n**2 - 33*n**2 + 18*n - 5*n**4 + 21 + 2*n**3 - 16*n to the form w*n + k + g*n**2 + p*n**3 + i*n**4 and give i.
-5
Rearrange -8 - 526*s**2 + 7 + 574*s**2 + (0*s + 3*s + 0*s)*(5 - 5 + s) + 0 + 0 + 2*s**2 to r + w*s**2 + z*s and give r.
-1
Rearrange -42*l**4 + 0 + 79*l**4 + 0 + 2*l**2 - 45*l**4 + 10*l + 2*l**3 to n*l + z + p*l**2 + a*l**4 + x*l**3 and give a.
-8
Express -115 + 101*f**3 - 41*f**2 + 13*f**3 + 115 - f - f in the form c*f**3 + i + u*f + g*f**2 and give u.
-2
Rearrange 4085*o - 1829 + 5482 - 1827 - 1829 - 1530*o to the form x*o + k and give k.
-3
Rearrange (-2348 - 839 - 2095 + 1218)*(h**4 + h**4 - h**4) - h**4 + h - h to the form s*h**4 + w*h**3 + u*h + g + l*h**2 and give s.
-4065
Rearrange (0 + 1 + 0)*(-154 - 42 + 43)*((1 + 1 + 0)*(x - 3*x + 0*x) + 2*x - 1 + 1) - 2*x + 3*x + 2*x to d*x + t and give d.
309
Express -6599 - 384*x**2 - 569*x**2 + 6599 as s*x + t + j*x**2 and give j.
-953
Express 476*d - 187*d - 4 + 28*d**2 + 2 + 5*d**2 - 202*d in the form b*d**2 + g*d + n and give g.
87
Rearrange 6*t**3 - 10*t**3 + 7*t**3 + (3*t - 1 + 1)*(0*t + 0*t - t**2) - 15*t**3 - 8*t**3 - t**3 to the form h*t**2 + w + x*t**3 + i*t and give x.
-24
Express 127 + 130 - 258 + 751*o in the form f*o + d and give d.
-1
Express -23 - 716*x - 336*x + 561*x in the form i*x + n and give i.
-491
Rearrange 1640*q - 3 + 0 - 1 - 1231*q to the form p + f*q and give p.
-4
Rearrange 12888*t - 12888*t + 2 + 24*t**2 to f + n*t**2 + z*t and give f.
2
Rearrange -17 - 3948*p**3 + 1555*p**3 + 3*p - 2*p + 31 - 12 to v*p**2 + u + x*p**3 + f*p and give x.
-2393
Express -9*q + 6*q - 3*q - 5*q + (-1 - 1 - 2)*(-14*q - 3*q - 4*q) as a*q + l and give a.
73
Express r**2 + 14*r - 34*r + 12 - 2*r**2 - 5*r - 2*r**3 in the form q + h*r + d*r**2 + n*r**3 and give d.
-1
Express (s + 1 - 1)*(13*s + 10 + 17*s - 24*s)*(3 - 3*s - 3) in the form t*s**3 + q*s + p*s**2 + c and give t.
-18
Rearrange -66*h + 66*h + h**2 - 638 - 600 + 0*h**2 to the form t*h + x*h**2 + j and give x.
1
Express -24 - s**3 + 3*s**2 - 98 + 64*s + 2*s + 121 as r*s**3 + y + j*s + z*s**2 and give r.
-1
Rearrange -g**3 - 4*g**3 + 4*g**3 + (3*g**2 + g**2 - 7*g**2)*(-g + 13*g + g) + 0*g**3 + 0*g**3 + 7*g**3 to the form x*g**2 + t*g**3 + m*g + p and give t.
-33
Express (18 + 38 + 11)*(-24*u - 76*u + 16 - 16) in the form b + k*u and give k.
-6700
Express (-6102 - 941 - 676 - 2694 - 6718)*(0*a**3 - a**3 + 2*a**3) as u*a + h*a**2 + c*a**3 + i and give c.
-17131
Rearrange (-6 + 6 - 2*b)*(1927 + 336*b - 1927 + b + 0*b - 2*b + (2*b + 0*b + 0*b)*(3 - 5 + 3) + 2*b + b + 4*b) to u + a*b**2 + g*b and give a.
-688
Express 15192*x**2 + 18*x**3 + 15190*x**2 + 27*x - 2*x**4 - 30382*x**2 as s*x**3 + l*x**4 + z*x + g + b*x**2 and give z.
27
Rearrange (0*c**2 - 2*c**2 - c**2)*(-88 + 16*c + 88)*(8*c + 9*c - 15*c) to p*c**4 + s + l*c + o*c**3 + d*c**2 and give p.
-96
Rearrange -3*h**3 - h**3 + 3*h**3 + (2 + h - 2)*(4*h + h + h)*(-2*h + h + 5*h)*(0 + 2 + 0)*(0 + 1 + 3) to the form w*h + z + c*h**3 + u*h**2 and give c.
191
Rearrange (-3*u**4 + 2*u**4 + 2*u**4)*(-28 - 58 + 15)*(-2 - 4 + 26) to p*u**4 + f*u**3 + h*u**2 + k + n*u and give p.
-1420
Rearrange (-1 - 1165*b - 1130*b + 53063*b**3 + 2295*b)*(2 - 4 + 2*b + 3) to the form z + q*b**3 + v*b + x*b**4 + c*b**2 and give x.
106126
Rearrange (60 + 30*g + 33*g - 60*g)*(-2 + 5 - 1)*(29*g - 6*g + 32*g) to u*g + d + y*g**2 and give u.
6600
Express -6*b**2 - 4*b + 5*b**2 + 0*b + (-5*b + 4*b + 3*b)*(-4*b + 0*b + 2*b) - 26*b + 29*b**2 + 26*b in the form n*b + i*b**2 + z and give n.
-4
Express 0*o + 0*o + 2*o**4 + (4 + 2 + 83)*(-2*o**2 - o + o)*(-10 + 2*o**2 + 10) in the form d*o + m*o**2 + j + l*o**3 + w*o**4 and give w.
-354
Rearrange (2 - 1 + 0)*(-5*r - 3*r + r)*(-r + 111 - 111)*(-12 + r**2 - 4*r**2 + 2*r**2) to x + q*r**3 + k*r**4 + t*r + o*r**2 and give o.
-84
Express (-4*y**3 + 10*y**3 - 3*y**3)*(-521 + 909*y - 434*y - 470*y) in the form g*y**2 + f + j*y**3 + r*y**4 + s*y and give r.
15
Express 2*a**2 - 2*a**2 - 2*a**3 + (-3 + 3 + a**3)*(-4 + 2 + 3) + (0 - 1 - 10)*(-639 + 97*a**3 + 639)*(-3 - 1 + 2) as z + w*a**2 + c*a**3 + f*a and give c.
2133
Express (5 - 4 - 16)*(-3*r + 2*r - r)*(-25 + 15 + 6 + 39) in the form f + a*r and give a.
1050
Rearrange (-38 + 11*x + 38)*(-2 + 2 + 2)*(2 - 6 + 3)*(-6 + 4 + 6)*(-2 - 1 + 16) to y*x + f and give y.
-1144
Rearrange (-2*q**2 - 9 + 9)*(-86*q + 112*q - 155*q) + (3 - q - 3)*(9*q**2 - q**2 - 4*q**2) to l*q**3 + x + a*q**2 + h*q and give l.
254
Express -8*b**2 + 23*b**2 - 12*b**2 + 70 + 9 - 6*b**2 + 2*b as p + v*b**2 + q*b and give q.
2
Rearrange (5*q - 6*q + 4*q + 3)*(-9552 - 9872 + 20410) to g*q + c and give g.
2958
Rearrange 182*l**2 + 10*l - 1075*l**2 - 33*l + 23*l to the form b + o*l + i*l**2 and give i.
-893
Express (3 - 2 + 0)*(2*l**2 - 5*l**2 + 0*l**2) - 4 + 2 + 5 - 3 + 5738*l**2 + 229*l**2 in the form u*l + v + b*l**2 and give v.
0
Express (1 + 3 - 2 + (0 - 1 + 4)*(0 - 3 + 2) + (0 - 3 + 4)*(0 - 2 + 1) - 7 - 10 + 4)*(-22*b**2 + 37*b**2 - 34*b**2) as w + x*b**2 + d*b and give x.
285
Express 2796 - 2796 - 5*y**4 - 190*y**3 + 0*y**4 - 3*y**2 in the form w*y + t + b*y**4 + m*y**2 + s*y**3 and give b.
-5
Express (-51*b**
|
{
"pile_set_name": "DM Mathematics"
}
|
167*n*w**3 + n*w**2 + 1457*n*w + 3*n + 46281*w**3 - 11*w**2 - 7*w wrt n?
167*w**3 + w**2 + 1457*w + 3
Find the second derivative of 2*s**2*v**3 + 10*s**2*v + 2*s**2 - 569*s + 7400*v**4 + 380*v**2 - 72*v + 2 wrt v.
12*s**2*v + 88800*v**2 + 760
Find the second derivative of -45*h**5 + 2755587*h**4*y**3 - h*y**3 - 30*h*y**2 - 3323*h - y**3 - y**2 wrt h.
-900*h**3 + 33067044*h**2*y**3
Find the third derivative of -2*z**5 + 2412*z**4 + 12898*z**3 + 183179467*z**2 wrt z.
-120*z**2 + 57888*z + 77388
What is the first derivative of 4721086*b + 39552964?
4721086
Find the second derivative of 3776936*k**5 + 2*k**4 + k**2 + 11*k - 936147.
75538720*k**3 + 24*k**2 + 2
Find the third derivative of 18*v**6 - 159567*v**5 + 21398078*v**2 wrt v.
2160*v**3 - 9574020*v**2
What is the derivative of 22850904*a*s**2 + 4*a*s - 58940524*a wrt s?
45701808*a*s + 4*a
Find the first derivative of 10504*w**3 + 3*w**2 + 188*w + 39992877 wrt w.
31512*w**2 + 6*w + 188
What is the first derivative of -l**4 + 3*l**3 + 823*l**2 - 69*l - 1325855 wrt l?
-4*l**3 + 9*l**2 + 1646*l - 69
Find the third derivative of 5385*w**5 + 78*w**3 - 25*w**2 - 2*w - 99920 wrt w.
323100*w**2 + 468
What is the second derivative of -22*g**2*p*t + 405*g**2*p - 9520*g**2 - 274572801*g*p*t - g wrt g?
-44*p*t + 810*p - 19040
Find the first derivative of -57798*r**2 - 238*r + 14070913.
-115596*r - 238
What is the third derivative of 364*w**5 + 5*w**4 - 109522*w**3 + 19*w**2 - 63*w - 16788 wrt w?
21840*w**2 + 120*w - 657132
Find the third derivative of 2431*f**6 + 17*f**5 - 355*f**3 + 176716210*f**2 wrt f.
291720*f**3 + 1020*f**2 - 2130
What is the third derivative of -219949685*b**4 + 5*b**2 - 66587840 wrt b?
-5278792440*b
What is the third derivative of 101220398*s**3 + 462428381*s**2 wrt s?
607322388
Find the third derivative of -4461925*p**3 - 3594384*p**2.
-26771550
Find the third derivative of 38534088*k**3 + 2*k**2 - 25783*k + 325.
231204528
What is the first derivative of 74485120*r - 29049163 wrt r?
74485120
Find the third derivative of 210733227*y**3 - 4*y**2 - 25993441*y.
1264399362
Find the second derivative of -1838488*q**2*z**4 + 112*q**2*z + 1657*q**2 - 4*z wrt z.
-22061856*q**2*z**2
Find the second derivative of -4*f**2*l*t - 14572*f**2*l + 1210*f**2*t + f**2 + 69*f*l - 29514*f*t wrt f.
-8*l*t - 29144*l + 2420*t + 2
Find the second derivative of -27567*c**5 + 5480*c**2 + 1797383*c + 36 wrt c.
-551340*c**3 + 10960
Differentiate 96302631*z + 13632283.
96302631
What is the third derivative of 355299459*a*l**3 + 5*a*l**2 - 1092*a*l + a - 3*l**2 - 114 wrt l?
2131796754*a
Differentiate 188545178*k**2 + 160306594.
377090356*k
Find the second derivative of 15680279*u**3 + u + 8133876 wrt u.
94081674*u
Find the second derivative of -34*q**5 + 21897*q**2 - 28999927*q wrt q.
-680*q**3 + 43794
Find the second derivative of -987*c**3 - 347367*c**2 + 199481970*c.
-5922*c - 694734
Find the third derivative of -72*o**5 - 5*o**4 + 3124*o**3 + 19*o**2 - 65094*o.
-4320*o**2 - 120*o + 18744
Find the third derivative of 12280346*r**6 - 2*r**2 + 420477*r + 2 wrt r.
1473641520*r**3
Differentiate -962*d**3*g - 20649121*d**3 + 295*d**2*g + 2*d**2 + 3*g with respect to g.
-962*d**3 + 295*d**2 + 3
Find the first derivative of 41655961*g**2 - 277812723 wrt g.
83311922*g
What is the second derivative of 145*v**4 + 17*v**3 - 1375*v**2 - 157561457*v wrt v?
1740*v**2 + 102*v - 2750
Find the second derivative of -40153020*c**4 - 96937041*c wrt c.
-481836240*c**2
What is the second derivative of 575*k**3*n**2*s**3 - 28*k**3*s + 47*k**2*n*s - 10*k**2*n - 1670*k*n**2*s**2 + 2*k*s - 2*k + n**2 wrt s?
3450*k**3*n**2*s - 3340*k*n**2
What is the derivative of 13*k**2 + 809422*k + 23832736 wrt k?
26*k + 809422
What is the second derivative of -4*h**2*m*y - 3*h**2*y**2 + 609*h*m*y**2 + 658*h*m*y + 2*h*m + 14*h*y**2 - 16*y**2 + 106*y wrt y?
-6*h**2 + 1218*h*m + 28*h - 32
Find the third derivative of 196626899*y**3 - 2269920*y**2 + 28 wrt y.
1179761394
What is the derivative of -37*c*s*t*z + 164*c*s + 433*c*t**2*z - s*t**2 + 2*s*t*z + 2*s*t + 15*s*z - 2*t**2 - 4425*z wrt c?
-37*s*t*z + 164*s + 433*t**2*z
Find the third derivative of -v**6 - 2062953*v**4 + 1346018*v**2 + 9*v.
-120*v**3 - 49510872*v
Find the third derivative of 1075419*j*y**4 + 39*j*y**2 - 82*j*y - 7*j + 15*y**5 + y**2 + 2 wrt y.
25810056*j*y + 900*y**2
Find the third derivative of -148885*p**3*q**2 + 69*p**3*q + 163*p**2*q + 4*p*q + 6773*q**2 wrt p.
-893310*q**2 + 414*q
Find the first derivative of 2*c*f*h - 2239*c*f + 176620*c*h - 1147*c - 99*f*h + 4*f - h + 6 wrt h.
2*c*f + 176620*c - 99*f - 1
Differentiate -17596021*y - 27415679 with respect to y.
-17596021
What is the first derivative of 2567*i**4*z**2 - 5917*i**4*z - z**2 - 87863*z + 23 wrt i?
10268*i**3*z**2 - 23668*i**3*z
Find the second derivative of -16*k**4 + 6*k**3 + 155675*k**2 + 5*k + 10474901.
-192*k**2 + 36*k + 311350
Differentiate -11677893*s*y + 415700*s - 11 with respect to y.
-11677893*s
What is the third derivative of 96592*j**5 - 288*j**3 - 113*j**2 + 140301*j wrt j?
5795520*j**2 - 1728
What is the derivative of -19487811*n + 19192431?
-19487811
What is the second derivative of 1398*a**3 + 51917*a**2 - 594601616*a wrt a?
8388*a + 103834
What is the second derivative of -279820518*z**2 - 604406304*z?
-559641036
What is the first derivative of 9*c**4 - 5723994*c**2 + 162097346 wrt c?
36*c**3 - 11447988*c
Find the second derivative of -418645773*i**3 - 667281415*i.
-2511874638*i
Find the third derivative of -3*j**2*z**4 + 4*j**2*z**2 - 430*j**2 + 2203793*j*z**3 - j*z - z**2 + 3*z wrt z.
-72*j**2*z + 13222758*j
Find the second derivative of -2242384*d**2*g**2*u**2 - 2*d**2*g*w - 30*d*g**2*u - 2*d*g*u*w - d*g*u + g**2*u**2*w - 2*g**2*u*w - g**2*u + 13*g**2 wrt u.
-4484768*d**2*g**2 + 2*g**2*w
What is the third derivative of 10922876*b*q**3 - 2*b*q**2 + 57791*q**2 wrt q?
65537256*b
Find the second derivative of 98128027*g**3 + 2028*g - 4434 wrt g.
588768162*g
Find the second derivative of -48249392*j**2 - 88471055*j wrt j.
-96498784
What is the third derivative of 3244491*c**3*d**4 - 2*c**3 - 3806*c**2*d**2 + 10851*c + 11*d**4 wrt d?
77867784*c**3*d + 264*d
What is the third derivative of -2*y**4 - 144504608*y**3 + 6804*y**2 - 5876*y wrt y?
-48*y - 867027648
What is the second derivative of 8*t**3 - 17851*t**2 + 10541089*t wrt t?
48*t - 35702
Find the first derivative of 987764879*j**4 - 758918122 wrt j.
3951059516*j**3
What is the derivative of 209902*f**3 + 2*f**2 - 1730613 wrt f?
629706*f**2 + 4*f
Find the third derivative of 3*y**6 + 1789346*y**3 - 69395*y**2 + 150*y wrt y.
360*y**3 + 10736076
Find the second derivative of -260402975*y**2 + 5751*y + 15780.
-520805950
What is the second derivative of -88942768*d**3 - 30747914*d - 3 wrt d?
-533656608*d
Find the third derivative of 3434*o**4 + 5*o**3 + 7600*o**2 - 52.
82416*o + 30
What is the derivative of -31519756*a**4 + 32303967?
-126079024*a**3
Differentiate h**3*w**2*x - h**3 - 4949266*w**2 - 14645074*x wrt x.
h**3*w**2 - 14645074
Find the third derivative of 592960583*z**4 - 2283428*z**2 + 5 wrt z.
14231053992*z
What is the first derivative of -3*r*w**2 - 193*r*w - 4007595*r - 3*w**2 + w wrt w?
-6*r*w - 193*r - 6*w + 1
Find the first derivative of 7847*w**3 + 11259*w**2 - 120039172.
23541*w**2 + 22518*w
What is the derivative of -279212943*d - 96435930?
-279212943
What is the first derivative of -468452720*c*v**2 - 102458182*v**2 wrt c?
-468452720*v**2
What is the second derivative of 682*l**4 - 207*l**3 + 29*l**2 + 674830*l - 7?
8184*l**2 - 1242*l + 58
What is the second derivative of 15*l**3 - 1950*l**2 + 708426*l?
90*l - 3900
Find the third derivative of -11701*c**4 - 700*c**3 + c**2 - 233*c + 9222.
-280824*c - 4200
What is the second derivative of -891448*u**4 + 3*u**3 - 11172471*u + 1?
-10697376*u**2 + 18*u
Find the second derivative of -62741352*o**2 - 51547359*o.
-125482704
Find the third derivative of 295797*k**4 + 14*k**3 + 11651*k**2 + 213*k + 1.
7099128*k + 84
Differentiate -94*m*y**2 - 4359163*m + 40484*y**4 with respect to y.
-188*m*y + 161936*y**3
What is the second derivative of -4880*l**3 + 18991*l**2 - 10*l - 350857 wrt l?
-29280*l + 37982
Find the third derivative of -18*n**3*t**2 - 12456386*n**3 + 19*n**2*t - 2*n**2 - 269
|
{
"pile_set_name": "DM Mathematics"
}
|
alse
Does 724 divide 442298?
False
Is 6 a factor of 596922?
True
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False
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True
Does 17 divide 13176?
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True
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True
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True
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True
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False
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Is 15020264 a multiple of 35?
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Is 2671248 a multiple of 303?
True
Is 80568 a multiple of 27?
True
Is 4541229 a multiple of 431?
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Is 95529 a multiple of 6?
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Is 420 a factor of 25372203?
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Does 431 divide 383159?
True
Is 214 a factor of 7694171?
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Is 68921 a multiple of 187?
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Does 195 divide 5157131?
False
Is 2224743 a multiple of 709?
False
Does 4 divide 99144?
True
Is 1752519 a multiple of 401?
False
Is 419 a factor of 878643?
True
Does 542 divide 3390752?
True
Is 97045 a multiple of 18?
False
Is 716704 a multiple of 135?
False
Is 73 a factor of 5329?
True
Is 32 a factor of 6142944?
True
Does 28 divide 509350?
False
Is 762 a factor of 221603?
False
Is 38 a factor of 958781?
False
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False
Is 37 a factor of 444322?
False
Does 423 divide 29120166?
True
Is 39 a factor of 135207?
False
Is 64 a factor of 252352?
True
Does 87 divide 88044?
True
Is 244 a factor of 5749128?
True
Is 32151 a multiple of 7?
True
Is 102 a factor of 361794?
True
Is 115 a factor of 10746865?
True
Is 392 a factor of 2669128?
True
Is 20 a factor of 138480?
True
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True
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False
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False
Is 292201 a multiple of 13?
True
Is 94625 a multiple of 29?
False
Is 94 a multiple of 4?
False
Is 20552761 a multiple of 7?
False
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True
Is 11102039 a multiple of 13?
True
Is 270802 a multiple of 46?
True
Is 288017 a multiple of 2?
False
Does 263 divide 324805?
True
Is 328476 a multiple of 6?
True
Is 45 a factor of 30240?
True
Does 19 divide 6660659?
True
Is 8482664 a multiple of 19?
True
Does 653 divide 2217588?
True
Is 12953808 a multiple of 71?
True
Is 363 a factor of 6102030?
True
Is 32 a factor of 18551232?
True
Does 9 divide 319858?
False
Does 22 divide 106260?
True
Does 409 divide 570964?
True
Is 410 a factor of 6032269?
False
Is 967860 a multiple of 19?
True
Does 18 divide 1852597?
False
Does 48 divide 17841?
False
Does 8 divide 144421?
False
Is 2263322 even?
True
Is 616896 a multiple of 454?
False
Does 12 divide 9522?
False
Does 251 divide 44929?
True
Is 24324 a multiple of 21?
False
Does 212 divide 1680312?
True
Is 29 a factor of 401788?
False
Does 81 divide 171343?
False
Does 43 divide 6098260?
True
Does 43 divide 3728940?
False
Is 700639 a multiple of 8?
False
Does 22 divide 951544?
True
Does 9 divide 4887?
True
Is 25 a factor of 96050?
True
Does 9 divide 3397629?
False
Does 15 divide 95475?
True
Is 135929 a multiple of 37?
False
Is 13 a factor of 1303500?
False
Is 36 a factor of 4602808?
False
Is 1261 a factor of 8479900?
False
Does 18 divide 157500?
True
Does 334 divide 10859274?
False
Is 72 a factor of 933192?
True
Is 46480 a multiple of 35?
True
Is 4 a factor of 34200?
True
Does 24 divide 1159229?
False
Is 789640 a multiple of 152?
True
Is 23 a factor of 22876181?
False
Does 13 divide 1760431?
False
Is 12 a factor of 3905?
False
Is 334 a factor of 163994?
True
Does 28 divide 460852?
True
Does 95 divide 42453?
False
Does 45 divide 990?
True
Is 32 a factor of 5734432?
True
Is 8831172 a multiple of 138?
True
Is 83 a factor of 36852?
True
Is 87230 a multiple of 10?
True
Does 258 divide 920665?
False
Is 7 a factor of 12794294?
False
Is 42785 a multiple of 13?
False
Is 17 a factor of 64685?
True
Is 34348 a multiple of 124?
True
Is 4495008 a multiple of 96?
True
Is 12 a factor of 614772?
True
Is 48 a factor of 1407489?
False
Is 14 a factor of 379504?
False
Is 431899 a multiple of 65?
False
Does 73 divide 470717?
False
Is 88 a factor of 112376?
True
Is 10489038 a multiple of 294?
True
Is 72 a factor of 123264?
True
Is 43 a factor of 304010?
True
Is 7550168 a multiple of 8?
True
Is 57117 a multiple of 93?
False
Is 563 a factor of 2246933?
True
Is 24379776 a multiple of 11?
False
Does 108 divide 141675?
False
Does 43 divide 210270?
True
Is 1071 a multiple of 148?
False
Is 216253 a multiple of 33?
False
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False
Is 3126948 a multiple of 33?
True
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True
Is 567 a factor of 1285490?
False
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False
Does 71 divide 5616810?
True
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False
Is 40463 a multiple of 60?
False
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True
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True
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True
Is 102 a factor of 79662?
True
Does 29 divide 161385?
True
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True
Does 152 divide 44232?
True
Does 26 divide 6304766?
True
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False
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True
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False
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True
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False
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False
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False
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False
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True
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True
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True
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False
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False
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True
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True
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False
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False
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True
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False
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True
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True
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False
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True
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False
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False
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True
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False
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True
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True
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True
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False
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False
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False
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True
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False
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True
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True
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True
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False
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False
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False
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True
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True
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True
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False
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False
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False
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False
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True
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True
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False
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False
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False
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False
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False
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False
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True
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True
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True
Does 94 divide 506378?
True
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False
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True
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False
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False
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False
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True
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True
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True
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True
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True
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False
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True
Is 289 a factor of 112710?
True
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False
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True
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True
Is 347 a factor of 258863?
False
Is 93104 a multiple of 176?
True
Is 2061858 a multiple of 23?
True
Does 17 divide 4870993?
True
Is 2 a factor of 2463?
False
Is 193797 a multiple of 14?
False
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True
Does 18 divide 143779?
False
Is 988735 a multiple of 39?
False
Is 3 a factor of 42497?
Fals
|
{
"pile_set_name": "DM Mathematics"
}
|
20, -8 = q - 2*y. Suppose q = 21*w - 23*w + 12. What is the units digit of w?
6
Suppose 3*g - 17 - 10 = 0. Let q be 30/g*6/4. Suppose f + 7 = q*s - 8, 0 = f. What is the units digit of s?
3
Let n be (-40)/140 - (-46)/14. Suppose -2*o + 6 = 4*f, n*o + 5 - 2 = -3*f. Suppose t - f = -5*j, -3*t - 2*j + 55 - 17 = 0. What is the units digit of t?
4
What is the units digit of 6/(-1) - (1 - 382)?
5
Suppose 9*o - 17885 - 1168 = 0. What is the hundreds digit of o?
1
Let k be 2/(13/11 + -1). Let w = 13 + k. Suppose 0 = -z + 2*i + 32, 0*i - 4*i + w = 2*z. What is the units digit of z?
2
What is the thousands digit of 15/(-3) + (-8491)/(-7)?
1
Suppose 0 = -p - 8*m + 6*m + 1616, 0 = -2*p - m + 3232. What is the units digit of p?
6
Suppose 4*l = -0*l + 556. Suppose 6*p - 55 + l = 0. Let r = -9 - p. What is the units digit of r?
5
Let z(o) = -4*o**2 + 2*o + 4*o**3 + o - 1 - 1. Let d = 15 - 13. What is the tens digit of z(d)?
2
Suppose -189*s + 175*s = -52458. What is the units digit of s?
7
Suppose -13*d = 7*d + 1440. Let f = d + 350. What is the hundreds digit of f?
2
Let i = -31 - -23. Let y(m) = -10*m + 24. What is the units digit of y(i)?
4
Suppose -d - d + 558 = s, -3*s + 2*d + 1682 = 0. What is the units digit of s?
0
Let y(o) = -101*o + 54. What is the tens digit of y(-2)?
5
Let x = 12 - 10. Suppose -3*g + x*n + 218 = 0, -g + 3*n = 3*g - 292. What is the tens digit of g?
7
Let a(g) = g**3 + 9*g**2 + 9*g - 10. Suppose -4*v + 2*k - 24 - 2 = 0, -4*v - 32 = 4*k. What is the tens digit of a(v)?
2
Suppose 20*q - 2440 = 15*q. What is the tens digit of q?
8
Let q(l) be the second derivative of -l**5/20 + 2*l**4/3 - 2*l**3/3 + 3*l**2 - 2*l. What is the tens digit of q(5)?
6
Suppose h - 2*l = -12 - 4, 0 = h + 4*l + 22. Let w be (h/12)/(1/(-70)). Let v = w + -57. What is the units digit of v?
8
Suppose -i + 18 = 3*i - m, -5*i = -5*m - 15. Let j(v) = 2*v**2 + 4*v - 11. What is the tens digit of j(i)?
5
Let b(m) = 2*m + 4. Suppose -3*f + 14 = -d, 0 = 5*f + 3*d - 4*d - 20. Let v be b(f). What is the tens digit of 8/(-6)*(-135)/v?
1
Let w = -513 - -683. What is the tens digit of w?
7
Let j(s) = s**3 + 11*s**2 - 15*s + 13. Let t be j(-12). Suppose 2*m + p - t = 15, 3*m - 96 = 5*p. What is the units digit of m?
2
Let g(d) = -29 + 3*d - 2*d - 4*d + 37. Let h be g(-8). Let b = -9 + h. What is the units digit of b?
3
Let m be -5 - (-5)/((-40)/32). Suppose -3 = 3*j - 33. Let u = j + m. What is the units digit of u?
1
Let o = -1697 + 2677. What is the hundreds digit of o?
9
What is the tens digit of (-2)/(-1) - (7 - 105)?
0
Let g(p) = -4*p**2 + 4*p**2 - 3*p**2 + 4 + 2*p**2 - 3*p. Let d be g(-4). Suppose 4*u + u - 160 = d. What is the tens digit of u?
3
Suppose -33*i - 8008 = -46*i. What is the tens digit of i?
1
Suppose -4*w + 5*w = 3*q - 472, -2*q + 298 = -4*w. Suppose 3*g = p + 503, 0 = -g + p - 5*p + q. What is the tens digit of g?
6
What is the hundreds digit of (22 + -21 - 107/(-6))*6?
1
Let a(q) = 16*q**2 + 3*q - 2. Let w(v) = -2*v + 1. Let y(d) = a(d) + w(d). What is the tens digit of y(-3)?
4
Suppose -z = z + g + 153, 0 = -3*z - 2*g - 228. Let l = 6 - z. What is the tens digit of l?
8
Let t = 3966 + -1571. What is the tens digit of t?
9
What is the hundreds digit of (2*24/4)/((-24)/(-5024))?
5
Let n(f) = -12*f + 3*f - 39*f + 8 + 8*f. What is the units digit of n(-2)?
8
Let b(w) = 4*w**3 - 138*w**2 - 43*w + 18. What is the units digit of b(35)?
3
Suppose -5*x = -3*s + 373, -5*s + x = -7*s + 227. Suppose 4*q = s + 8. What is the tens digit of q?
3
What is the tens digit of ((-8840)/(-476))/(1/14)?
6
Let q(p) be the first derivative of -2*p**2 + 3*p - 2. Let m be q(2). Let i(g) = -g**3 - 5*g**2 - 5*g + 6. What is the units digit of i(m)?
1
Let f = 181 - 306. Let y = -78 - f. What is the units digit of y?
7
What is the tens digit of ((-48)/14)/(4/(-98))?
8
Let y(g) = -g**3 - g + 1. Let h be y(1). Let u be 3 + h/1 + 13. Let k = 5 + u. What is the tens digit of k?
2
Suppose 4*f + 24 - 64 = 0. Suppose -f*i + 613 = -1407. What is the tens digit of i?
0
Suppose 4*l - 5*l + 3 = 0. Suppose -l*w = -w. Suppose w = 4*o + 10 - 94. What is the units digit of o?
1
Suppose 9126 = 31*b - 22*b. What is the hundreds digit of b?
0
Let p(w) = -w**3 - 8*w**2 - 10*w + 43. What is the units digit of p(-8)?
3
Suppose -4*u - 2*m + 22470 = 0, 4*m = -u + 7*m + 5635. What is the units digit of u?
0
Let k be (-5 + 2)*(-203)/21. Let r be (-4 + 2)/(-1) - k. Let z = -16 - r. What is the units digit of z?
1
Let a = 1474 + -155. What is the thousands digit of a?
1
What is the tens digit of (27 - 7)/5 + 594?
9
Let v(p) = -p**2 + 5*p - 8. Let b(r) = r + 2. Let k be b(2). Let y be v(k). Let n(g) = 3*g**2 + 3*g - 4. What is the tens digit of n(y)?
3
Suppose -45668 - 39386 = -43*l. What is the tens digit of l?
7
Let h = -4260 + 6134. What is the thousands digit of h?
1
Let c = -16 + 10. Let o be (13/(-78))/(1/c). What is the tens digit of -3 - (o - (0 + 15))?
1
Suppose -6*b + 5*b + 3*y + 186 = 0, -2*y - 544 = -3*b. What is the tens digit of b?
8
Let a(s) = s**2 + s - 3. Let l(h) = -h**2 - 8*h - 2. Let q be l(-7). Suppose -q*k - 28 = -2*i, 0*k = 2*k + i + 4. What is the units digit of a(k)?
9
Suppose -3 = 5*l + 27. What is the tens digit of (-9)/l - 774/(-12)?
6
Suppose 0 - 4 = -2*o. Suppose 4*x = -w - o*w - 37, -4*x = 2*w + 42. Let c = x + 32. What is the tens digit of c?
1
Suppose -174*i + 175*i = 378. What is the units digit of i?
8
Let k(t) = -3*t - 4*t - 2*t + 4*t - 2 + 4*t. Suppose 0 = 3*z + 5 + 4. What is the units digit of k(z)?
1
Let j = 9 + -9. Suppose 0 = -j*u - u + 34. Suppose 0*m + 5*b = 3*m - u, -5*b + 38 = m. What is the tens digit of m?
1
Suppose 3*b - 3746 = 1222. What is the units digit of b?
6
Suppose 0 = -3*d + 3*g + 153, 2*d - 3*g - 10 = 97. What is the units digit of d?
6
Let w(q) = q**3 + 14*q**2 - q - 11. Let z be w(-14). Suppose -l + 63 = z*f + 2*l, -3*f + 39 = -3*l. Suppose 2*p - 29 - f = 0. What is the units digit of p?
3
Let r(v) be the third derivative of v**4/8 + 31*v**3/6 + 5*v**2. What is the units digit of r(-9)?
4
Let t = -1 - -1. Suppose t = -5*u + 3*u - 4. What is the units digit of u*(20/8 + -3)?
1
Let o be -3 + 0/4 + 24. What is the tens digit of 163 + (3/(-9) - 77/o)?
5
Let h = 6 - 9. What is the units digit of (1/(-4 - h))/((-2)/26)?
3
Let s(w) = 562*w**2 - 3*w + 1. What is the tens digit of s(1)?
6
Let h(u) = 76*u + 361. What is the hundreds digit of h(25)?
2
Let v = -12 - -8. Let o be 404/8 - 6/v. Suppose -39 = -y - 2*y + p, -2*p = -4*y + o. What is the tens digit of y?
1
What is the tens digit of 9*(731/51)/(1/6)?
7
Suppose 3*b + 3892 = 2*m, -2516 = 4*m + 5*b - 10344. What is the thousands digit of m?
1
What is the hundreds digit of 5*337 + 60 + -52?
6
Suppose -3*h + v - 2 = -h, 2*v = -3*h + 4. Suppose -15*o + 14*o + 126 = h. What is the tens digit of o?
2
Let n = 71 - 186. What is the tens digit of (-2)/4 + n/(-2)?
5
Let v(f) = -9*f + 166. What is the tens digit of v(-11)?
6
Let i(m) = 20*m - 32. What is the units digit of i(14)?
8
What is the tens digit of 3/6 + 1404/8?
7
Let h(s) = 4*s - 23. Let q be h(12). Let z = -13 + q. Suppose 0 = 4*y - 5*w - 207, z = -3*w + 3. What is the tens digit of y?
4
Let t = 832 - 481. What is the tens digit of t?
5
Let u(t) = -32*t - 16. Let l be u(-9). Suppose 5*f + l = 797. What is the units digit of f?
5
Let j = -11 + 13. Suppose 12 = 2*i - s, 0 = j*i + 4*s - s + 4. Suppose 0*u = -i*u + 56. What is the units digit of u?
4
Let w(a) be the first derivative of -3*a**2/2 - 4*a + 9. Let o be w(-4). Suppose -4*n + o*n = 176. What is the units digit of n?
4
Let b = -6 + 9. Suppose 2*u - 19 = -4*f + b, 4*u + 5*f = 32. Suppose 2*n - 41 = -u*q, -2*q + 5*q = -4*n + 67. What is the units digit of n?
3
Suppose -5*o = -9 + 44. Let q(i) = i**2 + 7*i + 14. Let w be q(o). Suppose 3*g = w - 2. What is the units digit of g?
4
Suppose 5*w - 25 = -q, -8 - 18 = -2*q + 2*w. Suppose 0 = q*v - 10*v - 70. What is the tens digit of v?
1
Suppose l + 20 = -4*l, 3*b - 188 = -4*l. Let h = b + -20. What is the units digit of h?
8
Let b = -41 - -537. What is the units digit of b?
6
Suppose -2*w - d = -7294, -5*w + 5*d + 7282 = -3*w. What is the thousands digit of w?
3
Suppose -1121*b + 1136*b = 8175. What is the tens digit of b?
4
Suppose 0 = -3*d - 0*d - 3
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{
"pile_set_name": "DM Mathematics"
}
|
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