text stringlengths 270 8.19k | meta dict |
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- 2. Give p(u).
4
Let z(h) be the first derivative of -h**2 - 13*h - 5. Calculate z(-9).
5
Let q(k) be the first derivative of -k**3/3 + 3*k**2 - k - 4. Calculate q(5).
4
Suppose -1 = 3*c - 7. Let b(h) = h**3 - 2*h**2 + 3*h - 2. Calculate b(c).
4
Let y(i) = i**2 - 5*i + 6. Suppose 5*f = 10, f - 20 = -2*l - 3*f. Let q = 8 - l. Suppose 2*t + q*d + 0*d = 6, -5*t = -3*d - 31. Give y(t).
6
Let w(c) be the first derivative of 3/2*c**2 + 2*c**3 + c + 1/4*c**4 - 3. Calculate w(-5).
11
Suppose -2*a - 23 = -4*d + 3*a, -d = -2*a - 8. Let i(t) be the first derivative of -t**3/3 + t**2/2 - t + 3. Give i(d).
-3
Let z(y) = 1 - 3*y**3 + y**3 - y - 2*y + 5*y. What is z(-1)?
1
Suppose 17*u = 13*u - 4. Let j(x) = x - 1. What is j(u)?
-2
Let v(k) = -4 - 2 + 3 - k - 6. What is v(-4)?
-5
Let y = -13 + 18. Suppose 0 = y*f - 10, 2*d - 5*f + 14 = 0. Let g(n) be the first derivative of -n**2/2 - 5. What is g(d)?
2
Let h(j) be the third derivative of 1/6*j**3 + 0 + 1/3*j**4 + 0*j + 3*j**2. Determine h(1).
9
Let g(y) = -y**3 - 7*y**2 - 3*y - 3. Let v be g(-7). Suppose x + 2*x + v = 0. Let b(l) = l. Determine b(x).
-6
Let q(x) be the second derivative of -x**3/6 - x**2/2 - x. Let j = 0 + -2. Determine q(j).
1
Let o(k) = k. Let h(n) = 6*n + 1. Let s(v) = v**3 + 12*v**2 + 10*v - 10. Let j be s(-11). Let c(m) = j*o(m) - h(m). Determine c(2).
-11
Let g be 5/((-75)/(-6))*5. Suppose 3*d = a + 9, g*a + 2*a = -3*d - 21. Let l(j) = j**3 + 6*j**2 - j - 5. Determine l(a).
1
Let d be (-1)/(-3 - (-16)/6). Suppose -n = -d, 0*k = -3*k - 2*n + 21. Let q(a) = a**2 - 5*a + 4. What is q(k)?
4
Let k(i) = i. Let w(f) = f**2 + 6*f + 4. Let v be w(-5). Calculate k(v).
-1
Let g = 51 - 36. Let x(q) = -5 + g*q**2 + q**3 - 11*q**2 + 3. What is x(-2)?
6
Let u = -76 + 81. Let f(c) = -c + 10. Calculate f(u).
5
Suppose -2*r = v - 4*r + 6, 2*v = -2*r + 12. Let a(j) = -v*j - 8 - j + 4*j + 6. Give a(0).
-2
Let d(x) = x**2 + 9. Let v be d(0). Let o = v + -13. Let w(a) = -4*a - 6. Calculate w(o).
10
Let j(v) = -4*v - 1. Suppose -1 = -2*i - 5. Let s be (-12)/(-8) - (-1)/i. Give j(s).
-5
Let q(k) = 2*k**3 + 2*k**2 - k + 1. Let f(j) = -j - 3. Let n be f(-6). Suppose 0 = 5*g - n*v - 30, 10 = g - v + 2. Suppose g*d + 0*d = -6. Determine q(d).
-5
Let p(c) = c**2 - 2*c - 2. Let u be 2 - -2*9/(-3). Calculate p(u).
22
Let x(c) be the third derivative of c**5/60 - 7*c**4/24 - 11*c**3/6 - 2*c**2. Determine x(8).
-3
Suppose 0*g - 5*g = -25. Let o(p) = p**2 - 6*p + 7. Give o(g).
2
Let s(a) = -a**2 + 3*a + a + 3*a + 4. Calculate s(6).
10
Let q(b) = 0*b - 3*b - 5*b**2 - 4 + b**3 + 8*b. Suppose 2*k - 13 + 5 = 0. Suppose k*l - 15 = -l. Give q(l).
-7
Let g(l) = l**2 + l. Let p(k) = 7*k**2 + 7*k - 8. Let s(a) = 6*g(a) - p(a). Suppose 6 = 3*r + y + 3, 4*y = 4*r + 12. Give s(r).
8
Let t(x) = 2*x - 2. Let o be t(3). Suppose o = -j + 2*j. Let h(b) = 2 - b**3 + 2*b**2 + j*b - 5 - 3*b**2. Give h(2).
-7
Let p(n) = 4*n**3 + 2*n**2 - 7*n - 9. Let l = 0 - -2. Let c(z) = 0*z**2 - 4 - 5*z + 2*z + 2*z**3 + z**l. Let t(g) = -7*c(g) + 3*p(g). Calculate t(-1).
2
Suppose -2*j + 5*t = -4*j - 13, 7 = j - 2*t. Let v(i) = -i - 1. Let z(p) = -6*p - 9. Let r(g) = j*z(g) - 5*v(g). Give r(3).
-7
Let o(b) be the second derivative of 2*b + 0 - 1/6*b**4 - 1/2*b**3 - b**2. Calculate o(-3).
-11
Let q(y) = -y**2 + 10*y - 5. Let m(k) = -k**2 + 9*k - 5. Let n(g) = -4*m(g) + 3*q(g). Determine n(5).
0
Let j(q) be the first derivative of -q**3/3 + q**2/2 - 3. Let w(v) = 9*v**2 - 2*v - 1. Let r be (1 + 0)*1 - -1. Let h(s) = r*j(s) + w(s). Give h(-1).
6
Suppose 0 = 4*l - 5*a - 21, 3*a = 4*l - a - 20. Let m(j) be the second derivative of -j**5/20 + j**4/4 + j**3/6 + 2*j**2 - 2*j. What is m(l)?
-8
Suppose 10 = -5*n + 4*b, 5*b + 32 = -4*n - 17. Let u be -6*(21/n + 3). Let g = -3 + u. Let l(j) = -j - 3. Determine l(g).
-3
Let r(x) = x**2 - 2*x + 7. Let b(k) = 5*k**2 - 8*k + 28. Let i(h) = 2*b(h) - 9*r(h). Give i(-5).
8
Suppose -n = 4, 0*r + 32 = -5*r + 2*n. Let s(y) = y**2 + 9*y + 4. What is s(r)?
-4
Let u(v) = 2*v - 10. Let r be u(7). Suppose r*k - k = 0. Let c(b) = 0*b + 2 + 2 + 2*b - 3*b. Calculate c(k).
4
Suppose 0 = -5*j - 17*j - 22. Let c(d) = d**2 - 3*d - 2. Calculate c(j).
2
Let a(w) = w**3 + 6*w**2 + 2*w. Suppose -z + 3*r - 18 = 0, -2*z + 6*r - 2*r = 28. Give a(z).
-12
Let g(s) be the first derivative of s**3/3 + s**2/2 - 4*s - 4. Let u(o) be the first derivative of g(o). Give u(3).
7
Let l(o) = -3 + o - o - o**2 - o. Let i be l(0). Let u(s) = -3 - 3*s**2 + 157*s - s**3 - 1 - 156*s. Calculate u(i).
-7
Let p(v) be the second derivative of -v**3/6 + 4*v**2 - 8*v. What is p(0)?
8
Let p(t) = -t - 1. Let g(s) = -s**2 + 4*s + 1. Let q be g(3). Calculate p(q).
-5
Let j = 130 - 93. Suppose j = -5*a + 3*s, 5*s - 22 = -2. Let y(o) = -2*o**2 - 5*o + o**2 + 3 + 0*o. What is y(a)?
3
Suppose 2*z + 9 = -4*g + 7*z, 11 = -g + 3*z. Let k(v) = v - g + 3*v + v**2 - 3*v. What is k(-3)?
2
Let q = -29 + 27. Let k(c) = -c - 2. Calculate k(q).
0
Suppose 8 = b + b. Let o(v) = 14*v - 7*v - 3*v - 5*v. What is o(b)?
-4
Let x(c) = -2*c**2 - 2*c + 2. Let w be 0 - -1 - (-4 - -7). Determine x(w).
-2
Let q(h) = -3*h - 3. Let g be (-180)/85 - -2 - (-166)/(-34). What is q(g)?
12
Suppose -5*q = 5*u, 4*q - 3 = -5*u - 1. Let y(z) = -4*z + u + 5*z - 2. Suppose 2*t = 5*v - 15, t + 2*v - 21 = -6. Give y(t).
5
Let x(v) = v + 6. Suppose -12 = 5*s - 4*s. Let n be 1/(((-6)/(-3))/14). Let t = n + s. Give x(t).
1
Let u = -3 - -6. Let z(j) be the first derivative of j**3/3 - 5*j**2/2 - 41. Calculate z(u).
-6
Let j(b) be the second derivative of b**3 + b**2 - 7*b. Calculate j(-2).
-10
Suppose -8 = -7*d - 22. Let w(q) = 12*q. Determine w(d).
-24
Suppose o + 4*m = -20, 0*o = 2*o - 2*m. Let z = -2 + 5. Let n(w) = -3 + w**3 - 1 - 2*w**z - 4*w**2. Give n(o).
-4
Let m(h) = -h**2 - 154*h + 3 + 154*h. Give m(-3).
-6
Suppose 6*f = 3*f + 6. Let a(r) be the third derivative of 0 + 1/24*r**4 - r**f + 0*r - 2/3*r**3. Calculate a(-4).
-8
Let k(r) = 2*r**2 - 2*r - 1. Let b be k(-1). Let j be (3/9)/(b/18). Let a(h) = 4*h - 2 + 2*h**3 - 5*h - 4*h**2 + 2*h**2. Calculate a(j).
4
Let k be 4 - (-3 - 2*-1). Let m = k + -3. Let i(x) = 0 - m*x**2 + 2 + 0*x + 0*x. What is i(2)?
-6
Suppose 3*n + 2 = n. Let d = -2 - n. Let f(g) = 3*g**2 + 4*g**3 + g - g - 1 - 2*g**2. Determine f(d).
-4
Let h(n) be the third derivative of -n**5/10 + n**4/24 - 3*n**2. What is h(1)?
-5
Let u(l) = -5*l - 4. Let g(f) = -3 + f + 2 + 2. Let v(i) = -4*g(i) - u(i). Suppose 2*j - 8 = 2*z, -j + 5 - 1 = 0. Give v(z).
0
Suppose g + 4*g + 41 = -4*x, -45 = 5*g + 5*x. Let f(u) = -u**3 + 5 + 14*u - 15*u - 2*u - 6*u**2. Calculate f(g).
-5
Let u = -25 - -27. Suppose -5*k = -2*f + 10, -u*f = 3*f - 25. Let j(z) = -3*z + 3. Let y(m) = m - 2. Let s(i) = 2*j(i) + 5*y(i). What is s(k)?
-4
Let g(d) = 5*d + 7. Let o(x) = -4*x - 5. Let c(t) = 2*g(t) + 3*o(t). Let v = -5 + 3. Let u be 1 + v - (-2)/(-2). Calculate c(u).
3
Let z(d) = 3*d**3 + 2*d**2 - 1. Let x be (-3 + 0 + 2)*1. Calculate z(x).
-2
Let u(d) = -d**2 - 3*d - 4. Suppose 4*b + b + 15 = 0. Let w = b - 0. What is u(w)?
-4
Suppose 3*d = 16 - 1. Let q be ((-2)/d)/((-1)/5). Suppose q*l - 14 = -4. Let t(o) = -o**2 + 6*o - 3. What is t(l)?
2
Let f(l) = -l**3 + 21*l**2 + l - 22. Let g be f(21). Let h(n) = 7*n**3. What is h(g)?
-7
Let c be 54/15 + (-2)/(-5). Suppose -12 = 6*i - c*i. Let m(y) = -y - 12. Determine m(i).
-6
Let h(s) be the first derivative of -4*s**2 + 2*s - 11. Determine h(2).
-14
Let j(q) = -q - 1. Let f(a) = 3. Let s(i) = -f(i) - j(i). Suppose -4*x - 2 = 2, h + 6 = -x. Determine s(h).
-7
Let o be 5 - 5 - (6 + (-6)/2). Let j(c) = -3*c - 11. Let k(p) = -p - 6. Let d(l) = 3*j(l) - 5*k(l). Determine d(o).
9
Let c(v) = -v**3 + 3*v**2 + 2*v + 5. Suppose -4*i = -2*g + 54, -2*i = -i - 2*g + 12. Let a be (-2)/(-7) - 52/i. Determine c(a).
-3
Let z(s) be the second derivative of s**5/20 - s**4/4 - 5*s**3/6 + s**2/2 + 13*s. Give z(4).
-3
Suppose 3*f = 2*f + 5*w + 27, -w = 4*f - 3. Let n be -1*(f + (1 - 1)). Let x(v) be the third derivative of -v**6/120 - v**5/30 - v**3/3 - v**2. Give x(n).
-2
Let n be 13/4*(-11 + 15). Let v(u) = u - 16. Determine v(n).
-3
Let y(c) = c**3 - 4*c - 3 - 2*c**3 - 5*c**2 - 1. Suppose -l + 3*s = -18, l + 0*l + 3*s = -12. Suppose 0 = -2*v + l*v + 4. Calculate y(v).
-4
Let w(c) be the second | {
"pile_set_name": "DM Mathematics"
} |
+ y + 27, 328*y - 332*y = -3*v + 23 for v.
5
Solve -3*s + 0 = n + 12, -4*n = -7*s - 9 for n.
-3
Solve 17 = -k + 2*d, 0 = -569*k + 566*k - 4*d - 1 for k.
-7
Solve 4*d + 404*f = 406*f - 2, -5*f + 45 = 0 for d.
4
Solve -b = -l - 4, -5*b + 23*l = 24*l - 38 for b.
7
Solve 0 = 3*x + 4*c + 153 - 130, 4*x + 3*c = -33 for x.
-9
Solve -4 = 2*w + 68*u - 83*u, 5*w + 10 = -5*u for w.
-2
Solve 16646*w - 16644*w = -5*l - 4, 7*w + 14 = l for w.
-2
Solve 2*o - 10*y = -11*y - 20, 4*y = -40 for o.
-5
Solve -2*b - 2 - 1 = q, 12*q = -12 for b.
-1
Solve -13*y + 3*x + 27 = -20*y + y, 0 = -3*x - 3 for y.
-4
Solve 4*t = 12*k - 7*k - 18, -18 = -k + 8*t for k.
2
Solve 4*r + 3*b - 24 = 0, 5*r + 1 - 17 = 231223*b - 231225*b for r.
0
Solve 5*a - 28 = 4*y - 81, 4*y - 4*a - 44 = 0 for y.
2
Solve 5*v = 4*r - 18 - 2, 0 = r + 5*v + 45 for r.
-5
Solve -44 = -4*w + 4*z, 35*z - 43 = -5*w + 34*z for w.
9
Solve 0 = 2*m + 3*w + 4, -m + 2*w = 1078 - 1076 for m.
-2
Solve -5*a = 36*y - 39*y - 37, 5*y - 4*a + 40 = 0 for y.
-4
Solve 2*u + 3*m = 12, -5 = 2*m - 9 for u.
3
Solve -2*o + 6 = 258*m - 254*m, -41 = 3*m - 44*o for m.
1
Solve -m = -2, 19*w - 4*m = 20*w - 12 for w.
4
Solve 8*z + 1274 = r + 1254, 0 = 2*r + 3*z + 17 for r.
-4
Solve -216*m = 5*b - 214*m - 5, -2*m = b - 1 for b.
1
Solve -5*t - 25 = -2*h, -7*t - 2*h + 7 = -6*t for t.
-3
Solve 163*w - 3*u + 17 = 159*w, -2*w = 2*u - 2 for w.
-2
Solve -3*k = -4*y + 15, -5*y + 3*k - 13 = -31 for y.
3
Solve -110*l - 4*n + 8 = -108*l, 3*l = 3*n - 15 for l.
-2
Solve z = -2*l - 3, 0 = -2*z - 3960*l + 3959*l - 3 for z.
-1
Solve -3*g - 4*c + 37 = 0, -809*g - 5*c = -814*g + 15 for g.
7
Solve 2*i = -48, 0 = 3*f - 6*f + i + 24 for f.
0
Solve -h - 25 + 1 = 2*v, -4*h - 24 = 2*v for v.
-12
Solve -5*n - s = -10, -4*n + 0 = 5*s - 50 for n.
0
Solve -s - 1 = j, -38 = 2*j + 45*s - 55*s for j.
-4
Solve -111*p - 5*d = -116*p - 55, -2*d - 50 = 10*p for p.
-6
Solve 0 = -5*z - 5*q - 10, 27*q + 7 = 4*z + 28*q for z.
3
Solve 139*v - 141*v + 2*x = 6, 6*x - 24 = 4*v for v.
3
Solve -135*u + 30 = -132*u, 3*u = -4*d + 18 for d.
-3
Solve 30 = 5*h - 11*k + 13*k, 0 = -4*k - 20 for h.
8
Solve 146*t + 3*m = 143*t, 0 = -2*t - 4*m - 4 for t.
2
Solve -k + 4*u - 21 = 0, 5*k + 25*u - 20*u - 20 = 0 for k.
-1
Solve 0 = -5*b - 2*a + 5, -44*b + 10 = -34*b + 3*a for b.
1
Solve 5*h = 2*w - 20, -4 = h + 44*w - 43*w for h.
-4
Solve 13*s - 3*n + 3 = 18*s, 0 = 5*s - n - 19 for s.
3
Solve 3*f - 10*j + 6*j - 31 = 0, -3*f - 2*j + 7 = 0 for f.
5
Solve 0 = -3*k, 0*l + 7*k - 2 = l - 0*l - 0*l for l.
-2
Solve 3*u + 220*o - 205*o - 87 = 0, -35 = 5*u - 5*o for u.
-1
Solve 33 = 3*z + 31*h - 19*h, 3*h = z + 3 for z.
3
Solve 3*n + 5*k = 5, -233*k = 5*n - 230*k - 19 for n.
5
Solve -34*f = -71*f + 36*f - 4*k + 33, -4*k = -9*f - 63 for f.
-3
Solve 9 = -2*h + 3*z, -6659*h + 6667*h + 2*z = -22 for h.
-3
Solve v - 80 = -2*s - 69, 5*s = -3*v + 35 for v.
15
Solve -3*z - 2*i - 1466 = -1470, 3*z - 28 = 4*i for z.
4
Solve 3*h - 1 = 2*f, f + 5*h - 60 = -41 for f.
4
Solve 20*d - 5*n + 35 = 15*d, -4*n = 3*d for d.
-4
Solve 5*f - 1 = -2*a, -f - 21185*a + 21180*a + 60 = 0 for f.
-5
Solve 2*f = -5*c + 35, f + c - 137 + 127 = 0 for f.
5
Solve 409*t - 413*t - 33 = -k, 0 = -4*k + 3*t + 67 for k.
13
Solve q = 4*r + 12, q - 1362 = 3*r - 1353 for r.
-3
Solve -2*v - 749 = 21*f - 736, -12 = -4*v - 4*f for v.
4
Solve -4*h = -22*a - 180, 2*a + 2 = -h - 13 for a.
-8
Solve -s - 5*d = -22, 4*s + 104*d - 97*d = 23 for s.
-3
Solve -3*r + 12 = -d + 2*d, 5*d - 4*r - 3 = 0 for d.
3
Solve -45 = s + 5*f + 1, -3*s - f - 12 = 0 for s.
-1
Solve 5*m - 4*z - 34 = 0, 0 = 4*m + 31*z - 16*z - 9 for m.
6
Solve 0 = -381*b + 377*b + 3*w - 12, 4*b = 2*w - 16 for b.
-6
Solve 2*n - 1237*b = -1236*b - 4, 0 = -n - 2*b + 8 for n.
0
Solve -4*b - 33 = -o, 0 = 4*o - 14*b + 18*b + 8 for o.
5
Solve 0 = h - 3*u - 10, -h - 3*u - 92 = -84 for h.
1
Solve 29 - 26 = -3*m - 3*w, -5*w + 4 = 2*m for m.
-3
Solve w - 22 = -4*a, -5*w + 4*w - 3 = -a for a.
5
Solve 3*h = 21, -18*n + 16*n = -3*h + 21 for n.
0
Solve 2*u + 453*m = 457*m + 36, -3*m - 32 = -4*u for u.
2
Solve 34*b = 33*b - 5*h - 10, 3*b = 5*h - 10 for b.
-5
Solve 5*z - 4*a + 25 = 0, 3*a + 47 = 62 for z.
-1
Solve 3*v = -4*r - 44, -3*r - 66 = 3*v - 27 for r.
-5
Solve -c = o + 3, -35*o + 36*o - 1 = 0 for c.
-4
Solve -3*l + 5*y + 5 = 0, 2*l - 12*y = -6*y - 2 for l.
5
Solve s - 3 = f, -184*s + 2*f + 6 = -185*s for s.
0
Solve -74*z - 2 = -75*z, 4*x + z + 22 = 0 for x.
-6
Solve -6*i + 4*i = 5*b - 19, b - 9 = -3*i for b.
3
Solve -y + 3 = 6*m + 23, -5*m = 3*y + 8 for y.
4
Solve 8 = 2*b - 4*i, 4*b + 4*i + 8 = -12 for b.
-2
Solve -4*i - 24 = 2*l, -56 + 2 = 9*i - 2*l for i.
-6
Solve 2*w - 34 = -4*o - 74, -4*w + 30 = -2*o for w.
2
Solve -5*g + 3 = b, 0 = 4*b + 4*g - 954 + 942 for b.
3
Solve -3*s = -3*b - 12, 0 = 2*s - 31*b + 27*b - 24 for s.
-4
Solve 15*k - 14*k = 4*v + 2, 5*k + 2*v + 12 = 0 for k.
-2
Solve 3*o - 106 = -3*h - 49, -5*o = 4*h - 90 for h.
5
Solve 18*m + 4*c = 21*m - 25, 5*m - c = 2 for m.
-1
Solve 7*a + 4*i - 5 = 0, -141*a - 32 = -145*a + 5*i for a.
3
Solve -5*x + 28 = -2*u, 4921*u - 4925*u = -4*x + 20 for x.
6
Solve 3*a - 5*t = -2, 0 = 11719*a - 11715*a + 4*t - 8 for a.
1
Solve 2*l = 2*c - 32, l + 23 - 17 = -c for c.
5
Solve 2*r = 2074*p - 2070*p - 82, 4*r = p - 38 for r.
-5
Solve 5*q - 2*d + 15 = 0, -71*d + 68*d = 3*q + 30 for q.
-5
Solve -12 = 619*y - 615*y, -5*y = 5*b + 5 for b.
2
Solve 0 = -2*t - x + 7, -1151*t = -1148*t + 2*x - 10 for t.
4
Solve 0 = -5*x - 158*d + 157*d - 1, -4*x - 2*d - 2 = 0 for x.
0
Solve 41800*q = -3*m + 41799*q - 15, -m - 2*q - 5 = 0 for m.
-5
Solve 13*n - 17 = -3*g, -4*g + 34*n = 37*n + 6 for g.
-3
Solve -939*u = -5*v - 938*u + 2, 4*u = -28 for v.
-1
Solve s + 227 = -4*u + 236, 0 = u - 4*s + 2 for u.
2
Solve 2*c = 2*t - 28, -2*t + 1839 = 2*c + 1795 for c.
4
Solve -2*z - 12 = 0, -3*z - 1545 = 4*o - 1531 for o.
1
Solve 4*d - 4*f = 24, d = -2954*f + 2953*f - 4 for d.
1
Solve -4*x = 4*k - 0*k + 36, -2*k - 15 = -x for k.
-8
Solve -5*z + 16 = -0*z - 2*l, -z + 8*l = -64 for z.
0
Solve 2*a - 6 = -2*m, 4055*a + 3*m = 4057*a + 4 for a.
1
Solve -q + 3 = -2*n, -5*n + 5*q - 242 = -247 for n.
-4
Solve 32*d - 30*d - 12 = 2*f - 0*f, -5*d = 5*f - 20 for d.
5
Solve -f + j = -13, 94*f - 4*j - 1857 = -545 for f.
14
Solve -4*u + 4*z = 8*z + 4, -z = -16*u - 84 for u.
-5
Solve 0 = 2*u - 73*y + 75*y - 26, 0 = 6*u - u - 5*y - 25 for u.
9
Solve -2*i - k = -i, -k - 35 + 50 = -4*k for i.
5
Solve 7*o - 73 = 12*o + 4*d, -5*d - 60 = -0*d for o.
-5
Solve 4*b + 130 - 142 = t, 0 = 2*t - b + 3 for t.
0
Solve d - 3*k - 10 + 19 = 0, -2*k + 4 = 0 for d.
-3
Solve 0 = f - 6 + 2, 8*w = 23*f - 24*f - 20 for w.
-3
Solve 2*b + 660*p - 9 = 665*p, -15 = 4*b + p for b.
-3
Solve 2*b + 48 = -4*g, 1664*b + 48 = -4*g + 1667*b for g.
-12
Solve 5*n = -13*s + 20, -n + 8*s = 7*s - 4 for n.
4
Solve 54*m = 57*m + 4*r - 9, -3*r = 0 for m.
3
Solve 20 = 4*g, -4*w - 113*g + 114*g - 29 = 0 for w.
-6
Solve 5*m = -5*g, -5*m + 335*g - 2 = 338*g for m.
-1
Solve -6*b - 5 = -2*b - 21, 7*b = 4*o + 56 for o.
-7
Solve 21 = 3*h + 4*w, -154*w = 11*h - 156*w - 27 for h.
3
Solve 2*z - 8 = 4*f, 2 = -f + 88*z - 59*z for f.
-2
Solve 17*v = f + 18*v - 5, 3*f + 2*v - 14 = 0 for f.
4
Solve -b - 3*j - 2 = 0, -43*b + 105*b + 14 = 60*b - j for b.
-8
Solve 2*j + 48 = -4*a, -4*j - 828*a - 60 = -823*a for j.
0
Solve -8*y + 5*z + 25 = -7*y, 4*y - 2*z + 8 = 0 for y.
-5
Solve -3*t = -3*w + 30, -6151*w + 6156*w - 30 = t for t.
-5
Solve -4*o = -33*c - 161, 0 = -5*c + c - 4*o - 24 for c.
-5
Solve -2*d - l = 6, 0 = 5*d - 11191*l + 11193*l + 13 for d.
-1
Solve 0 = -1138*b + 1135*b - 9, b - 17 = -5*i for i.
4
Solve 3*t - 5*p - 11 = 0, 2*t - 4*p + 55 = 65 for t.
-3
Solve 9 = -2*f - 3*w + 6, 2*f = 4*w - 10 for f.
-3
Solve 5*u + 6 = -7*y, -4*u - 1550*y = -1555*y + 26 for u.
-4
Solve -9*l + 10 = -4*l, 15*i - 3 = 16*i + l for i.
-5
Solve -414*m - 19 = -4*x - 419*m, -x = -5*m - 11 for x.
6
Solve -5*p + 18 = 3*h, -2396*p = -2393*p - 9 for h.
1
Solve 5*k - 2*p + 15 = 0, -38*k + 40 = -42*k - 4*p for k.
-5
Solve 14*v = 5*j - 39, 11708*j = 11710*j + 3*v - 7 for j.
5
Solve c - n = 4, -38*n + 46*n = -2*c - 22 for c.
1
Solve 5*a - 2264 = -4*y - 2271, 4*y - 4*a = -16 for y.
-3
Solve -4*u = f - 5, 46*u = 43*u + 5*f - 25 for u.
0
Solve 5*j = -2*d - 9, 34*d - 24 = 31*d + 5*j for d.
3
Solv | {
"pile_set_name": "DM Mathematics"
} |
termine d(83).
-39
Let k(i) = -i**3 - 125*i**2 + 1043*i + 173. Determine k(8).
5
Let u(k) = -k**3 + 20*k**2 - 131*k + 294. What is u(5)?
14
Let o(a) = 21*a**2 + 249*a - 778. What is o(3)?
158
Let v(k) = -19*k**2 + 82*k - 543. Calculate v(7).
-900
Let m(j) = -7*j + 232. What is m(-17)?
351
Let f(i) = i**3 - 211*i**2 + 2758*i - 4. Give f(14).
-4
Let g(z) = -9012*z - 53529. What is g(-6)?
543
Let z(w) = w**2 + 250*w - 32788. What is z(95)?
-13
Let o(y) = 7714*y + 732837. What is o(-95)?
7
Let l(b) = 3*b**3 - 499*b**2 + 269*b - 17218. Calculate l(166).
-120
Let a(m) = 3*m**3 - 64*m + 41. Calculate a(0).
41
Let b(j) = -j**3 - 88*j**2 + 93*j - 142. Calculate b(-89).
-498
Let j(q) = q**2 - 133*q - 6512. Give j(-38).
-14
Let x(i) = i**2 + 2154*i - 353019. Give x(153).
-48
Let q(s) = 41457*s**2 + 704774*s + 29. What is q(-17)?
-56
Let y(l) = 200*l - 4190. Calculate y(15).
-1190
Let t(h) = 16*h**2 - 938*h + 4300. What is t(54)?
304
Let u(r) = 103*r + 2049. Give u(-19).
92
Let n(w) = -197*w + 3483. Determine n(20).
-457
Let k(v) = -20*v**3 - 4596*v**2 + 24438*v - 488. Give k(-235).
-18
Let a(w) = 92*w**2 + 935*w + 953. What is a(-9)?
-10
Let a(r) = 11*r**2 - 20*r - 86. What is a(-3)?
73
Let i(y) = y**2 - 2257*y - 285332. What is i(-120)?
-92
Let s(g) = -3608*g - 6901. Calculate s(-2).
315
Let a(l) = -23*l**3 - 10*l**2 + 93*l - 166. Give a(2).
-204
Let q(b) = -13*b**2 - 510*b + 1093. What is q(-42)?
-419
Let i(b) = 3*b**3 - 84*b**2 - 613*b - 73. What is i(-6)?
-67
Let i(s) = 33263*s + 99759. What is i(-3)?
-30
Let w(v) = 6*v**2 + 125*v - 3127. Calculate w(-36).
149
Let r(o) = -518*o**2 - 2010*o + 95. Give r(-4).
-153
Let j(f) = f**2 - 6344*f - 31717. Give j(-5).
28
Let y(b) = 29*b**2 + 216*b - 84. Calculate y(-11).
1049
Let u(p) = -5*p**2 - 1785*p + 8883. Determine u(5).
-167
Let h(z) = 7*z**2 + 558*z - 177. Calculate h(-80).
-17
Let r(x) = 3*x**3 - 350*x**2 - 18*x - 11564. Calculate r(117).
19
Let b(o) = -15283*o + 366810. Determine b(24).
18
Let a(r) = -r**3 - 7*r**2 + 4492*r + 49274. Give a(-11).
346
Let z(l) = -5741*l + 1601737. Give z(279).
-2
Let r(o) = -67959*o - 883396. Give r(-13).
71
Let h(t) = 7*t**2 + 2671*t + 9456. Determine h(-378).
6
Let r(q) = 2053*q + 172466. Determine r(-84).
14
Let v(t) = -3*t**3 + 37*t**2 - 31*t + 131. Give v(12).
-97
Let z(j) = 3*j**3 + 236*j**2 - 6272*j - 82. Calculate z(21).
65
Let q(j) = j**3 - 364*j**2 + 39*j - 14165. Determine q(364).
31
Let c(v) = v**3 - 122*v**2 + 110*v - 168812. Determine c(131).
47
Let i(x) = -x**2 + 22744*x + 478053. Calculate i(-21).
-12
Let y(f) = f**2 + 186*f + 8464. Calculate y(-81).
-41
Let x(l) = 3*l**2 - 438*l - 1774. Determine x(-4).
26
Let w(n) = -29*n**2 + 1384*n - 16429. Calculate w(24).
83
Let t(k) = -14163*k - 1586195. What is t(-112)?
61
Let x(j) = 9331738*j + 27995210. Calculate x(-3).
-4
Let a(p) = 5*p**3 + 20*p**2 - 4*p - 159. Give a(-6).
-495
Let b(h) = -245*h + 4951. Determine b(24).
-929
Let a(z) = z**3 - 16*z**2 - 2952*z + 27129. Determine a(9).
-6
Let r(k) = 13*k**3 - 146*k**2 - 305*k - 14. What is r(-2)?
-92
Let z(h) = 1171*h + 236565. What is z(-202)?
23
Let r(l) = 21783*l + 1590148. Give r(-73).
-11
Let n(g) = -g**3 + 23*g**2 - 153*g + 1913. Give n(20).
53
Let w(z) = -11*z**2 + 1863*z + 3906. Determine w(172).
-1082
Let o(n) = 4989*n**2 - 843145*n + 684. What is o(169)?
8
Let a(t) = t**3 - 122*t**2 + 3796*t - 4555. Calculate a(60).
5
Let t(s) = -3*s**3 - 194*s**2 + 38*s - 1257. Determine t(-65).
498
Let u(m) = -14*m**2 + 21840*m - 43628. Calculate u(2).
-4
Let j(v) = -v**3 - 200*v**2 + 15290*v + 1741. Determine j(-259).
-590
Let s(v) = -1437*v + 329749. Give s(230).
-761
Let q(z) = 3*z**2 + 58288*z + 2036405. Determine q(-35).
0
Let y(s) = 15*s**3 + 4*s**2 - 5*s - 7. Determine y(-1).
-13
Let z(b) = -b**2 - 98*b + 1400. Calculate z(15).
-295
Let j(n) = 4779*n - 4735. Determine j(1).
44
Let p(a) = -a**3 - 37*a**2 - 66*a - 31. Give p(-35).
-171
Let g(t) = -t**3 + 95*t**2 + 2310*t - 1144. Calculate g(115).
6
Let h(a) = -a**2 - 833*a - 143905. Calculate h(-247).
837
Let n(i) = -337*i**2 + 2667*i - 3977. What is n(2)?
9
Let k(f) = -2*f**2 + 183*f + 813. Determine k(96).
-51
Let w(s) = 6645*s - 25. What is w(0)?
-25
Let i(d) = -921*d + 23039. Determine i(28).
-2749
Let n(p) = 635*p - 110488. What is n(174)?
2
Let l(y) = 88078*y**2 + 528464*y - 48. Calculate l(-6).
-24
Let h(d) = -3*d**2 + 2600*d + 28974. Give h(-11).
11
Let f(h) = 2*h**2 - 78*h - 4254. Give f(65).
-874
Let c(i) = i**2 - 73*i - 2387. What is c(47)?
-3609
Let p(b) = 584*b + 10614. Give p(-18).
102
Let t(n) = -136337*n + 11861321. Determine t(87).
2
Let z(h) = h**2 - 754*h + 78226. Calculate z(124).
106
Let s(l) = 84*l**2 + 448*l - 161. Give s(-6).
175
Let s(k) = 547*k**3 + 7*k**2 + 6*k - 16. Determine s(2).
4400
Let r(g) = -1123*g - 5937. Calculate r(-8).
3047
Let t(d) = -55*d**2 + 6730*d + 4213. Give t(123).
-92
Let n(j) = -1194*j**2 - 9542*j + 65. What is n(-8)?
-15
Let k(f) = -8*f**3 + 24*f**2 + 58*f - 179. What is k(3)?
-5
Let q(r) = -2*r**3 - 70*r**2 - 405*r + 472. Calculate q(-27).
-257
Let k(a) = -75208*a + 4662932. Determine k(62).
36
Let u(d) = 2*d**3 - 225*d**2 + 5891*d + 1293. Calculate u(42).
-9
Let w(v) = 25045*v - 125255. Give w(5).
-30
Let u(q) = -3*q**3 - 2*q**2 + 37*q - 28. Give u(6).
-526
Let h(a) = -a**2 - 2828*a + 338387. Give h(115).
-58
Let x(b) = -385*b**2 - 71229*b - 762. Give x(-185).
-22
Let k(z) = 7*z**3 - 180*z**2 + 133*z - 189. Determine k(25).
11
Let x(j) = -2935*j - 178983. Determine x(-61).
52
Let r(m) = -8*m**3 + 37*m**2 + 136*m - 6. Give r(-4).
554
Let h(t) = -6*t**3 - 311*t**2 + 65*t + 111. Give h(-52).
-565
Let a(t) = t**3 + 348*t**2 - 3213*t - 27. Determine a(-357).
-27
Let l(g) = -g**3 + 274*g**2 + 192*g - 52606. What is l(274)?
2
Let z(i) = -85*i - 9143. Calculate z(-106).
-133
Let i(w) = 88*w - 2026. Determine i(7).
-1410
Let j(s) = -469711*s - 15970175. What is j(-34)?
-1
Let v(b) = 5*b**3 - 31*b**2 + 68*b - 86. Give v(4).
10
Let y(n) = n**3 - 195*n**2 - 130*n - 13335. Calculate y(196).
-399
Let w(o) = -o**2 + 126607*o - 74. Calculate w(0).
-74
Let x(w) = 2217*w + 4250. Calculate x(-2).
-184
Let z(v) = 3633*v + 134463. Calculate z(-37).
42
Let o(p) = p**3 - 61*p**2 + 452*p - 5. Determine o(9).
-149
Let s(y) = -y**3 - 38*y**2 - 509*y + 45. What is s(-12)?
2409
Let d(r) = r**2 + 916*r + 209790. Give d(-435).
555
Let g(v) = v**3 - 2*v**2 - 126*v + 66. What is g(0)?
66
Let s(d) = -5347*d**2 + 48124*d + 46. What is s(9)?
55
Let i(r) = -63*r**3 - 822*r**2 + 854*r + 208. Determine i(-14).
12
Let p(f) = -f**3 + 143*f**2 - 926*f + 631. Determine p(6).
7
Let k(t) = 5973*t + 603052. Calculate k(-101).
-221
Let p(h) = 25*h**2 + 2443*h - 19124. What is p(-105)?
-14
Let s(b) = -8*b**2 - 2523*b - 24407. Determine s(-10).
23
Let i(w) = -w**3 + 325*w**2 + 120*w - 143831. Give i(324).
25
Let d(o) = 1805*o - 3585. Give d(4).
3635
Let s(g) = -96*g**2 + 13*g - 31. Give s(2).
-389
Let o(v) = 25*v + 1193. What is o(-78)?
-757
Let l(s) = s**2 + 12457*s + 793157. Calculate l(-64).
5
Let v(c) = -207*c**2 + 21*c + 5. Determine v(1).
-181
Let l(b) = -b**3 + 9*b**2 - 4185*b + 24990. Calculate l(6).
-12
Let l(v) = v**3 - 242*v**2 - 146*v - 83437. Give l(244).
11
Let z(t) = -t**2 + 297*t + 32932. Calculate z(-86).
-6
Let b(r) = -r**3 - 18*r**2 + 300*r + 1180. Calculate b(-26).
-1212
Let j(x) = -5989*x - 24078. Calculate j(-4).
-122
Let q(n) = -2*n**3 + 4*n**2 + 21*n + 181. Give q(6).
19
Let f(z) = 3*z**2 + 319*z - 35977. Determine f(-175).
73
Let a(d) = 3*d**2 - 13973*d - 1646573. Determine a(-115).
-3
Let q(i) = 292*i**2 + 9352*i + 22. Calculate q(-32).
-234
Let o(a) = -168*a + 46927. What is o(279)?
55
Let u(r) = 21*r**3 - 900*r**2 - 125*r - 82. Give u(43).
90
Let v(y) = 7951*y + 127980. Calculate v(-16).
764
Let l(n) = 17*n**2 + 994*n + 617. Determine l(-58).
153
Let l(v) = 727758*v - 2183282. Give l(3).
-8
Let p(c) = -4402*c + 35034. What is p(8)?
-182
Let p(n) = 620868*n - 1241730. Calculate p(2).
6
Let j(x) = 3*x**3 - 68*x**2 + 426*x - 759. Calculate j(6).
-3
Let o(a) = 15347*a - 261229. Determine o(17).
-330
Let n(d) = -2842*d - 138974. What is n(-49)?
284
Let u(n) = 2*n**3 - 47*n**2 - 556*n + 96. What is u(-12)?
-3456
Let k(j) = 19*j**2 - 531*j + 1393. What is k(3)?
-29
Let a(k) = 86276 | {
"pile_set_name": "DM Mathematics"
} |
icked without replacement from {e: 2, f: 6, n: 4}. Give prob of picking 3 f.
1/11
Calculate prob of picking 1 v, 1 t, and 1 c when three letters picked without replacement from {c: 1, i: 1, o: 1, t: 1, v: 1}.
1/10
Two letters picked without replacement from {d: 1, c: 4, u: 6, g: 7}. Give prob of picking 1 g and 1 d.
7/153
Four letters picked without replacement from ooosslolowllssls. What is prob of picking 1 w and 3 o?
1/182
Three letters picked without replacement from leqeehaelaabealal. Give prob of picking 2 a and 1 e.
5/68
Three letters picked without replacement from {o: 2, l: 1, c: 2, e: 1, i: 1}. What is prob of picking 1 c and 2 o?
2/35
Three letters picked without replacement from sssssesesemsssss. What is prob of picking 1 s and 2 e?
9/140
What is prob of picking 1 a, 1 d, 1 v, and 1 o when four letters picked without replacement from {s: 3, v: 1, o: 2, a: 1, d: 3, w: 1}?
1/55
What is prob of picking 1 w and 1 m when two letters picked without replacement from {w: 4, m: 15}?
20/57
Four letters picked without replacement from dddggwww. Give prob of picking 2 w and 2 g.
3/70
Four letters picked without replacement from dsdssddsdsss. Give prob of picking 2 s and 2 d.
14/33
Four letters picked without replacement from {i: 5, c: 1, q: 2, h: 2, o: 1, a: 2}. What is prob of picking 1 a, 2 i, and 1 o?
4/143
What is prob of picking 2 d when two letters picked without replacement from jjqjdjyqdjyjqjjjjjjq?
1/190
Calculate prob of picking 1 x, 1 v, and 1 w when three letters picked without replacement from vmwvxvvx.
1/7
Calculate prob of picking 1 l and 1 u when two letters picked without replacement from lsuu.
1/3
Two letters picked without replacement from {b: 2, l: 8, y: 2, g: 7}. Give prob of picking 1 b and 1 y.
4/171
Two letters picked without replacement from {r: 3, n: 9, p: 1, e: 1, y: 3, w: 1}. Give prob of picking 1 y and 1 w.
1/51
Three letters picked without replacement from wppdbbbdwbwwb. What is prob of picking 2 b and 1 d?
10/143
Two letters picked without replacement from nnnkknnnnnknnk. What is prob of picking 1 n and 1 k?
40/91
Three letters picked without replacement from xpooojxoo. Give prob of picking 1 j, 1 x, and 1 p.
1/42
What is prob of picking 3 r when three letters picked without replacement from {f: 7, r: 5}?
1/22
What is prob of picking 2 q and 1 x when three letters picked without replacement from tqytyttvqstsxttsq?
3/680
Four letters picked without replacement from llslllllslsssllsll. What is prob of picking 1 l and 3 s?
4/51
Two letters picked without replacement from hdxsxxxsdhhxx. Give prob of picking 2 h.
1/26
Four letters picked without replacement from bbudoulluu. Give prob of picking 1 l, 1 d, and 2 u.
2/35
What is prob of picking 1 i, 1 d, 1 n, and 1 o when four letters picked without replacement from {o: 2, v: 4, n: 4, d: 7, i: 1}?
14/765
What is prob of picking 2 p when two letters picked without replacement from {j: 2, p: 5, m: 3, u: 2}?
5/33
Four letters picked without replacement from {w: 1, g: 1, o: 16, a: 1, l: 1}. What is prob of picking 1 g, 2 o, and 1 w?
8/323
Four letters picked without replacement from wwjwwjwwwwwjwbw. What is prob of picking 1 b and 3 w?
11/91
What is prob of picking 1 u, 1 f, and 1 e when three letters picked without replacement from euzsfeh?
2/35
Two letters picked without replacement from ukukjejjej. What is prob of picking 2 e?
1/45
Calculate prob of picking 4 u when four letters picked without replacement from uuuuuuuuu.
1
What is prob of picking 2 r when two letters picked without replacement from vvvvvvvvvvvvrvrvvrr?
2/57
Two letters picked without replacement from {i: 15, o: 4}. Give prob of picking 2 i.
35/57
Calculate prob of picking 1 i, 1 n, and 2 b when four letters picked without replacement from biinbwibibiwiiwbii.
1/34
Three letters picked without replacement from {w: 4, r: 1, x: 1, i: 1, j: 2}. What is prob of picking 1 i and 2 j?
1/84
What is prob of picking 2 x when two letters picked without replacement from {i: 13, x: 3}?
1/40
What is prob of picking 1 h and 1 y when two letters picked without replacement from khhhnyhnhznn?
5/66
Calculate prob of picking 1 b, 1 g, and 1 t when three letters picked without replacement from {b: 1, k: 3, g: 4, r: 4, t: 1, u: 4}.
1/170
What is prob of picking 2 j and 1 p when three letters picked without replacement from {u: 3, p: 1, j: 5}?
5/42
What is prob of picking 1 j and 2 y when three letters picked without replacement from jyjjjjjjyjjjyy?
15/91
Calculate prob of picking 2 i and 1 d when three letters picked without replacement from vvdvivjvxvvii.
3/286
Two letters picked without replacement from {l: 3, g: 1, y: 1}. What is prob of picking 1 g and 1 l?
3/10
Three letters picked without replacement from {b: 9, d: 2, u: 8}. Give prob of picking 1 b and 2 u.
84/323
Calculate prob of picking 2 t when two letters picked without replacement from {u: 2, m: 2, t: 2}.
1/15
Two letters picked without replacement from {x: 3, b: 7, d: 1, y: 5, o: 3}. Give prob of picking 2 o.
1/57
What is prob of picking 1 f, 1 j, and 1 d when three letters picked without replacement from {d: 2, f: 1, q: 3, j: 9, y: 4}?
6/323
Two letters picked without replacement from hlylqqoeoeooo. What is prob of picking 1 h and 1 e?
1/39
Two letters picked without replacement from {x: 1, t: 2, k: 2}. Give prob of picking 2 k.
1/10
Calculate prob of picking 1 a and 3 l when four letters picked without replacement from {l: 4, d: 8, a: 2}.
8/1001
Three letters picked without replacement from aaiiiia. What is prob of picking 3 i?
4/35
Four letters picked without replacement from {r: 5, q: 5, i: 6, v: 1}. Give prob of picking 1 q and 3 i.
5/119
What is prob of picking 1 m and 3 b when four letters picked without replacement from {u: 2, m: 1, k: 6, b: 3, p: 1}?
1/715
What is prob of picking 3 u when three letters picked without replacement from hhhuuhuhuhhuhhuu?
1/16
Three letters picked without replacement from ghijw. Give prob of picking 1 j, 1 h, and 1 w.
1/10
Four letters picked without replacement from hxxppofppff. What is prob of picking 1 h, 2 p, and 1 f?
3/55
Calculate prob of picking 1 x and 1 l when two letters picked without replacement from {x: 2, l: 3, d: 3}.
3/14
Four letters picked without replacement from {n: 11, i: 2, o: 6}. What is prob of picking 2 o and 2 i?
5/1292
Calculate prob of picking 3 j when three letters picked without replacement from {m: 2, j: 16}.
35/51
Four letters picked without replacement from {r: 2, w: 3, s: 2, g: 5, d: 2, i: 2}. Give prob of picking 2 s, 1 g, and 1 w.
3/364
Four letters picked without replacement from iiiififiiifffiii. Give prob of picking 2 i and 2 f.
55/182
What is prob of picking 1 f and 1 z when two letters picked without replacement from wwwxxzwxwxxzzvzf?
1/30
Three letters picked without replacement from wwzwwwzwww. What is prob of picking 3 w?
7/15
Three letters picked without replacement from {t: 2, b: 1, a: 2, r: 8, m: 2, w: 4}. Give prob of picking 1 w, 1 a, and 1 b.
8/969
Calculate prob of picking 2 m and 1 z when three letters picked without replacement from {z: 11, e: 1, m: 3}.
33/455
Calculate prob of picking 1 n and 2 j when three letters picked without replacement from {n: 8, j: 1, c: 8}.
0
Two letters picked without replacement from {e: 2, u: 9}. Give prob of picking 2 u.
36/55
Calculate prob of picking 1 p and 2 w when three letters picked without replacement from {w: 4, g: 4, p: 6}.
9/91
What is prob of picking 1 g and 3 p when four letters picked without replacement from ppgpppppppppppppppp?
4/19
Calculate prob of picking 1 x, 1 z, and 2 y when four letters picked without replacement from zyxxyxy.
9/35
Two letters picked without replacement from tttttttttt. What is prob of picking 2 t?
1
Calculate prob of picking 1 t and 1 e when two letters picked without replacement from ccectcledoocetc.
2/35
Four letters picked without replacement from dzzbdludlllrlz. Give prob of picking 3 d and 1 z.
3/1001
Three letters picked without replacement from uuuugggwuuhu. What is prob of picking 1 u, 1 h, and 1 g?
21/220
Calculate prob of picking 1 n and 2 h when three letters picked without replacement from {h: 3, n: 12, l: 3}.
3/68
What is prob of picking 1 s and 1 t when two letters picked without repla | {
"pile_set_name": "DM Mathematics"
} |
+ 11*h + 40. Suppose 56 = s - 20. Calculate the highest common factor of s and m.
4
Let x = -954 + 6608. What is the highest common divisor of 44 and x?
22
Let s(w) = -w**2 + 12*w - 5. Suppose 0*q + 15 = 3*q. Let z be s(q). Suppose 2*n - z = 14. What is the greatest common divisor of 198 and n?
22
Let w(i) be the first derivative of i**4/4 + 4*i**3 + 2*i**2 + 84*i + 22. Let a be w(-10). What is the greatest common divisor of a and 61?
61
Let a(s) = s**2 - 3*s - 15. Let o be a(5). Let u be 63/7 + (0 - o). Let j = -25 - -39. Calculate the highest common factor of u and j.
14
Let y(i) = i**2 - 15*i + 26. Let q = 20 + -7. Let n be y(q). Suppose 0*g - g = x - 105, n = -x + 5*g + 105. Calculate the greatest common factor of 15 and x.
15
Let d be (4/(-10))/(3/(-135)). Suppose -4*i + 2 = -d. Suppose -i*z + 8 = -7. Calculate the greatest common factor of z and 12.
3
Suppose 2*u + 3*u = 4*r + 218, -3*u - 254 = 5*r. Let i = 111 + r. What is the highest common divisor of 59 and i?
59
Suppose 5*y - 189 = 12*u - 16*u, 2*u - 4*y = 88. Calculate the highest common factor of u and 1863.
23
Let t(c) be the second derivative of -c**3/6 + 2*c**2 + 42*c - 2. Let w be (-2)/8 - (-11)/(-4). Let j be t(w). Calculate the highest common divisor of 7 and j.
7
Let k(x) = -2*x + 13. Let j be k(0). Suppose 3*r + 4*y + 157 = 2*y, 3*r + 153 = -3*y. Let c = 81 + r. What is the greatest common factor of j and c?
13
Suppose 100*k + 131 - 5931 = 0. Suppose -2*l = 3*w - 1511, -l = 2*l + 5*w - 2267. Calculate the highest common divisor of k and l.
58
Let p be (-35)/(-14)*((100 - -1) + 175/25). Calculate the greatest common factor of p and 645.
15
Suppose j = -3*h + 18, 0 = -16*h + 13*h - 6. Let w be 2/(1*(-1 + 2)). Let d be w/(-3) + (-20)/(-3). Calculate the greatest common divisor of d and j.
6
Suppose -o = -7 - 18. Let b(k) = -k**2 - 11*k. Let c be ((-20)/6)/(3 - 24/9). Let s be b(c). What is the greatest common factor of o and s?
5
Let r = -2989 - -5885. What is the highest common factor of r and 80?
16
Suppose -7020 = 740*q - 760*q. Calculate the greatest common factor of 39 and q.
39
Suppose 227*k - 13129 = 32952 + 16571. What is the greatest common divisor of k and 1788?
12
Let r be (2 + -44)/(-6) + (488 - 2). What is the highest common factor of 68 and r?
17
Suppose -3*a - 60 = 2*a. Let t = a - -26. Let w = -286 + 356. What is the highest common factor of t and w?
14
Let z = 452 - 252. Let y be (-2)/(-12) - (-3836)/24. Suppose -5*i + l + z = 0, 0*i = -4*i + l + y. What is the highest common divisor of 10 and i?
10
Let l be ((-12)/42)/((-1)/(28/2)). Let v be (l*8/(-24))/((-2)/528). What is the highest common divisor of 44 and v?
44
Let w(p) = -3*p**2 + 24*p + 5. Let y be w(8). Suppose -655 + 207 = -q - 5*n, y*q = -4*n + 2135. What is the greatest common divisor of q and 47?
47
Let b be ((-13)/39*29)/(-3 + (-88)/(-30)). What is the highest common factor of b and 1247?
29
Let i(j) = -2*j**2 + 7*j + 24. Let b be i(8). Let a = 49 + b. Let g be 1/(5/195*a). What is the greatest common factor of 13 and g?
13
Let u be (-1424)/(-22) + 348/1276. Let r be 454 - -2 - 2/((-2)/(-1)). What is the greatest common factor of u and r?
65
Suppose -299*l - 370639 = -1701787. What is the greatest common divisor of 84 and l?
84
Let w(f) = 3*f**2 - 18*f + 3. Let x be (108/(-80)*-5)/(2/24). Suppose p + 75 = x. Let n be w(p). Calculate the greatest common factor of 3 and n.
3
Let s(r) = -10*r + 11. Let l be s(1). Let v be (-44)/55*(-4 - l). Calculate the highest common factor of 18 and v.
2
Let d = -98 - -168. Let u = -277 - -276. Let c be (u/(-3))/(-1) - 1240/(-120). Calculate the highest common factor of c and d.
10
Suppose 5160 = -7*w - 5*w. Let u = 439 + w. Let t(d) = -16*d - 1. Let m be t(-4). What is the highest common factor of m and u?
9
Suppose 4*j - 282 = 3*w - 16, -4*j = -w - 86. Let s = -60 - w. Let d be (-20)/s - (-353)/(-6)*-2. Calculate the greatest common divisor of 13 and d.
13
Suppose -215*n + 9162 = -50396 - 8382. Calculate the highest common divisor of 176 and n.
4
Let d be (-1685922)/(-168) + 1 + 25/(-20). Calculate the highest common factor of d and 45.
45
Suppose -v + 4*n = 15, -4*v + 0*v + 5*n = 71. Let y be 90 - v/(95/(-30)). Suppose -23 - 13 = -3*w. What is the highest common factor of y and w?
12
Suppose -3*c + 4 = -23. Suppose -3*k + 3 = -3*j, 3*k + k - 3*j = 3. Let d be (0 + k - -1)*(-46 - -47). Calculate the highest common divisor of d and c.
1
Let n be (225 - 273)*20/(-3). Calculate the greatest common divisor of 230 and n.
10
Let l be -1 + 2 + 5 + (-33)/11. What is the highest common factor of l and 2949?
3
Suppose -5*d + 17 = -4*o, 5*o - d = 3*d - 10. Suppose -5*h + 115 = 5*r, r - 581*h + 583*h - 28 = 0. What is the highest common divisor of o and r?
2
Suppose 2*x - 5*f - 752 = -x, 2*x = 5*f + 493. Suppose -s = -7*k - 23, -s - 90 = 5*k - 137. Calculate the highest common factor of x and s.
37
Let r = 83 - 47. Let p be ((-264)/r)/(6/(-9)). Let w(b) = b - 3. Let x be w(4). What is the greatest common divisor of p and x?
1
Let p(g) = 2*g**3 + 17*g**2 - 13*g - 11. Let c be p(-9). Let f be (-1)/(-2) - 9/(-6). Calculate the highest common divisor of f and c.
1
Let o(c) = 5*c**2 + 20*c - 42. Let g be o(-6). What is the highest common divisor of g and 4428?
18
Suppose 11*k = -14*k + 10*k + 5445. What is the greatest common divisor of k and 66?
33
Let i = 9797 + -6472. What is the highest common divisor of 133 and i?
133
Let b be (-7)/(4300/(-375) - -11). Let w = -2 + -7. Let t be w/1*(-8)/12. Calculate the greatest common divisor of t and b.
3
Let w = 14090 + -14074. What is the greatest common divisor of w and 11392?
16
Let m be (-8)/(-20)*-5 + 86 + (-3)/1. Calculate the highest common divisor of 1323 and m.
27
Suppose 2*o - 189 = 97 + 34. Calculate the highest common divisor of o and 3760.
80
Let v = -24 - -27. Suppose -v*k - 3*k = -30. Suppose 2*x + 17 - 3 = 4*b, 0 = -x - k. Calculate the greatest common factor of 5 and b.
1
Suppose -49*p + 50*p + 5*y - 200 = 0, 3*p + y = 530. What is the greatest common divisor of p and 1820?
35
Let b(z) = -z + 1. Suppose -44*q + 30 = -46*q. Let k be b(q). What is the highest common factor of 8 and k?
8
Let o = 16 - 14. Suppose -x = -o*x + 40. Let m(w) = -w**2 - 23*w + 60. Let u be m(-20). Calculate the highest common divisor of u and x.
40
Let r(z) be the second derivative of -2*z**3/3 + 19*z**2 - 91*z. Let g be r(5). What is the highest common divisor of g and 102?
6
Suppose -p = g - 4 + 23, 3*g = -2*p - 38. Let m be -5 + 1 - 1 - p. What is the greatest common factor of 98 and m?
14
Suppose 12718 - 2158 = 165*l. Calculate the greatest common factor of l and 1024.
64
Let w = -120 - -122. Suppose 4*q = -w*x + 76, 3*x + x - 147 = -3*q. What is the greatest common factor of 84 and x?
12
Suppose -70*o - 17 = -69*o. Let h(a) = -a**2 - 24*a. Let v be h(o). Calculate the greatest common divisor of v and 68.
17
Suppose -2 = 2*z, -3*s + 2*z + 66 = -20. Suppose -2*x + 38 = 2*k, 0*k - 41 = -2*x - 3*k. Calculate the highest common factor of x and s.
4
Suppose -53 = -2*x - 39. Let j(t) = t**2 + 12*t + 16. Let u be j(-9). Let m = -4 - u. What is the highest common divisor of m and x?
7
Let x(y) = 5*y + 0*y + 0*y + 24 - 6*y. Let m be x(19). Suppose m*t - 224 + 9 = -c, -5*t - 4*c = -230. Calculate the greatest common divisor of t and 14.
14
Let c = -735 + 1393. Let d = 661 - c. What is the highest common divisor of 219 and d?
3
Let c be ((-115)/(-25) - 5) + 94/10. Let r = c + -5. Suppose -5*f + 5*m - r = -79, -3*f + m = -47. What is the greatest common divisor of 48 and f?
16
Let j be (5/3)/(240/243 - 1). Let w = j + 134. Let r(z) = -19*z - 1. Let k be r(w). What is the greatest common factor of 36 and k?
18
Let u = -11535 - -13352. Calculate the greatest common divisor of 632 and u.
79
Let d = -3 - -37. Let r = -95 + 97. Suppose -r*j + 17*j - 1275 = 0. What is the greatest common divisor of d and j?
17
Suppose -4*d = -362 + 26. Let u be (115200/12000)/((-2)/(-5)). Calculate the greatest common divisor of d and u.
12
Let a(y) = 34 - 6*y - 95 - 32 + 17*y. Let u be a(21). Calculate the greatest common divisor of 92 and u.
46
Let j(i) = 65*i - 18. Let h be (-273)/13*(-4)/6. Let l be j(h). Suppose 11*w - l = 725. Calculate the highest common factor of | {
"pile_set_name": "DM Mathematics"
} |
Let s = d - -1.197. Round s to 1 decimal place.
1
Let z = -0.521 - 0.003. Round z to two dps.
-0.52
Let d = -164.73 + 155.5. Let w = -0.02 - -0.15. Let s = d + w. Round s to the nearest integer.
-9
Let o = -27.2206 + 23.225. Let y = 2 + -6. Let r = y - o. Round r to 3 dps.
-0.004
Let w = 1.632 + -0.032. Let y = w + -1.5993. What is y rounded to four dps?
0.0007
Let g = -21.47 - -19.9. What is g rounded to 1 dp?
-1.6
Let t = 1.55 - 66.55. Let c = -64.902 - t. What is c rounded to 2 dps?
0.1
Let a = -3.750122 + 3.75. What is a rounded to five dps?
-0.00012
Let n = -0.027 + -31.973. Let j = 92.6 + -66. Let v = n + j. Round v to the nearest integer.
-5
Let y = -3131 - -3130.90026. Let c = 0.1 + y. What is c rounded to 4 dps?
0.0003
Suppose -7*l = 9740983 + 332017. Round l to the nearest ten thousand.
-1440000
Let i = -15658077955 + 26416560130. Let y = i + -10758482379.00000162. Let h = y - -204. Round h to 7 dps.
-0.0000016
Let q = 2083716607.0000089 + -2083716420. Let b = q - 187. What is b rounded to six decimal places?
0.000009
Let f = -36 + 39. Suppose 5*r - 5681 = 5*b - 701, -b = -f*r + 2996. What is r rounded to the nearest one thousand?
1000
Let o = -12.7 - 0.05. Let n = -1.45 + o. Let f = n - -7.1. What is f rounded to zero decimal places?
-7
Suppose -16*w - 2212801 = -4*v - 17*w, 5*v + w - 2766001 = 0. Round v to the nearest 10000.
550000
Let d = -34 + -87. Let t = -121.000119 - d. Round t to 5 dps.
-0.00012
Let z(q) = -q**3 + 4*q**2 - q + 2. Let p be z(4). Let i be 8684/2 + (1 - p). Suppose 5*b + i = 2*v, -3*v + 6537 = 2*b - 3*b. Round v to the nearest one hundred.
2200
Let w = 4595934 - 4595710.0091. Let y = 224 - w. Round y to 3 dps.
0.009
Let t = 0.016 + 7.984. Let b = t - 7.9999987. Round b to six dps.
0.000001
Let u = 10.8003 + 55.1327. Let w = -66 + u. Round w to 2 decimal places.
-0.07
Let b = -29.11542 + 29.12. Round b to four decimal places.
0.0046
Let g(u) = 286*u - 2. Let r be g(1). Suppose -3*l - 1064 = -r. What is l rounded to the nearest one hundred?
-300
Let z = 2542.13 + -2553. Round z to one decimal place.
-10.9
Let s = 0 + 0. Suppose s = -5*l + 25179 + 14841. Suppose 2*w + 2*w - 15984 = -4*x, -2*w + x = -l. What is w rounded to the nearest one thousand?
4000
Let j = -10219102 - -7269102. Round j to the nearest one million.
-3000000
Let j = -35.1827 + 0.0827. Round j to the nearest 10.
-40
Let h = -29.78 + 10.15. What is h rounded to the nearest integer?
-20
Let u = 20.574 + -18.86. What is u rounded to one dp?
1.7
Let a = 1877351 - 638351. What is a rounded to the nearest one hundred thousand?
1200000
Let l = -1135 + 1135.07764. Round l to 3 decimal places.
0.078
Suppose 0 = -4*l + l + 21. Let z(d) = 3 + 8 - l + 16749*d. Let s be z(4). Round s to the nearest ten thousand.
70000
Let z = -1472.999985 + 1473. What is z rounded to 4 dps?
0
Let f = -2252.6718 + 2253. What is f rounded to one decimal place?
0.3
Let z = 793.9998995 + -794. What is z rounded to five dps?
-0.0001
Let q = 5.76 - 5.5688. Round q to 3 decimal places.
0.191
Let f be 54/15 + 4/10. Suppose 2*t - f*t = -6. Suppose -t*w = -5045425 - 654575. What is w rounded to the nearest 1000000?
2000000
Suppose -f = g - 5*f - 18, -f - 2 = 0. Suppose 2231235 = -g*t + 431235. Round t to the nearest 100000.
-200000
Let k = 3524.046 - 3532.0460016. Let h = 8 + k. Round h to seven dps.
-0.0000016
Let g be 0/(2 - (1 - 0)). Suppose b - 7*b + 18 = g. Suppose -b*f + 6468144 - 1338144 = 0. Round f to the nearest 100000.
1700000
Let h = 75.971 - 76. Let x = 0.029067 + h. Round x to 5 decimal places.
0.00007
Let h = -1359760 - 4724240. What is h rounded to the nearest 100000?
-6100000
Let g(p) = -3842501*p**2 - 15*p - 26. Let i be g(-2). Round i to the nearest 100000.
-15400000
Let d = 0.885 + -6.555. What is d rounded to one dp?
-5.7
Let l = -0.0345 - -0.034499172. Round l to 6 decimal places.
-0.000001
Let v be (-5)/(-25)*0 + -1890000. Round v to the nearest 100000.
-1900000
Let s(l) = 4 + 7 - l - 3 - 2. Let j be s(3). Suppose 139 = 5*i - q - 58, 151 = 4*i - j*q. Round i to the nearest one hundred.
0
Let u = -0.0400458 + 0.03911. Round u to 4 decimal places.
-0.0009
Let q = -61 + 63. Let p(c) = -9000*c**2 + 2*c - 4. Let l be p(q). What is l rounded to the nearest 1000?
-36000
Let x = -2736.595 + 2731. Round x to 1 dp.
-5.6
Let u = -1.05 - -1. Let q = -6.0496 - -6. Let r = q - u. Round r to three decimal places.
0
Suppose -b + 5*b = 16. Let h be -2 - -3 - (-4)/b. Suppose -h*f - x = 117998, f = -2*x - 72240 + 13244. Round f to the nearest 10000.
-60000
Let j = -2467 - -2468.318. What is j rounded to 1 decimal place?
1.3
Let v = 4478 + -2878. Let t be (v/(-12))/(1/90). Round t to the nearest 1000.
-12000
Let o = 174 - 503. What is o rounded to the nearest 10?
-330
Let j be (3 - 0) + -1 - 0. Suppose h - j = 2. Suppose 0*l + 8800000 = -h*l. What is l rounded to the nearest 1000000?
-2000000
Let x = 2.62 - 2.2. Let k = -2.78 - x. Round k to zero dps.
-3
Suppose 6*t = 4*t - 4. Let f be t/(-11) + (4190994/33)/1. Round f to the nearest ten thousand.
130000
Let p = 4.762 - 4.7. Let k = p + -0.0612. What is k rounded to 3 dps?
0.001
Let z = 2208 - 2226.61. What is z rounded to the nearest integer?
-19
Let n = -58.199 + -2.321. Round n to the nearest ten.
-60
Let j(z) = 17737*z - 3. Let k be j(3). Suppose -2*v + 5*w + 106420 = 0, -3*v - k = -4*v + 2*w. Suppose -9*g - v = -7*g. What is g rounded to the nearest 1000?
-27000
Let c = 95.999955 + -96. Round c to 6 decimal places.
-0.000045
Let y = 25 - 28. Let r(k) = -114*k**3 + k**2 - 3*k + 4. Let i be r(y). Round i to the nearest one hundred.
3100
Let k = 77 - 77.025. Let n = 0.023 - k. Round n to 1 dp.
0
Let o(d) = 2744*d - 8. Let c(u) = 2*u - 5. Let x be c(6). Let k be o(x). Suppose 4*q = q - k. What is q rounded to the nearest one thousand?
-6000
Let z(o) = o**2 - 7. Let p be z(5). Let j be (3 - 1)/(-6) - 210/p. What is j rounded to zero decimal places?
-12
Let i = -643.99999989 - -644. Round i to seven decimal places.
0.0000001
Let h = 124.221 - 124. Let v = -137.119 + 137. Let w = h + v. What is w rounded to 2 dps?
0.1
Let f = 584667969 + -584612097.0006. Let l = -55879 + f. Let a = -7 - l. Round a to four dps.
0.0006
Let n = -478.1719 + 478. Let d = 0.218 + n. Round d to two dps.
0.05
Let l = 159.62 + 1.88. Let i = 3.5 - l. Let s = i - -157.826. Round s to 2 dps.
-0.17
Let z = 320.93 + -321. Round z to one decimal place.
-0.1
Let r = -39.944 - 0.056. Let p = 40.72 + r. What is p rounded to 1 decimal place?
0.7
Let u = 0.8 - 0.7. Let g = u + -0.2. Let o = 0.10007 + g. What is o rounded to 4 dps?
0.0001
Let g = -1762980520.00000017 + 1762980504. Let t = 0.15 - 16.15. Let l = g - t. Round l to 7 decimal places.
-0.0000002
Let g(k) = 12*k - 5. Suppose 17 = 6*y - 31. Let z be g(y). Round z to the nearest ten.
90
Suppose -3*g = 5*j + 21, j + 6 = 3*j. Let z = -12 - g. Suppose -2*p + 3*q - 2*q - 300005 = z, 5*q = -3*p - 449975. What is p rounded to the nearest 100000?
-200000
Let s(t) = t**3 - 19*t**2 - 21*t + 22. Let l be s(20). Suppose 0*j + l*j = -3480. What is j rounded to the nearest 100?
-1700
Let k be (1 - 40)/(3 - 2 - 2). Suppose -2*a - 4*p + 12 + 54 = 0, -2*a + 5*p + k = 0. Round a to the nearest one hundred.
0
Let i = -26.3 + -6.7. Let o = 31.9 + i. What is o rounded to 1 dp?
-1.1
Let u = -5.5 + 5.534. Round u to two decimal places.
0.03
Let j = 235.7 - 1157. What is j rounded to the nearest 100?
-900
Let s = 0.215 + 57.285. Let f = s - 60.17. What is f rounded to zero decimal places?
-3
Let b(v) = 542100*v**3 + 12*v**2 - 13*v + 1. Let j be b(1). What is j rounded to the nearest 10000?
540000
Let b = 209 + -370. Let m = -327 - b. What is m rounded to the nearest 10?
-170
Let t = -700 + 617.3. Let b = t - -76. What is b rounded to zero decimal places?
-7
Suppose -2*t + 64 = 3*d, 0*t - 132 = -5*d + 3*t. Suppose d*s = 28*s + 336. What is s rounded to the nearest one hundred?
-100
Let m = -1404324 + 777324. Round m to the nearest ten thousand.
-630000
Let h = 438.2 + -551. What is h rounded to 0 decimal places?
-113
Let x = 1109683 + -393683. Round x to the nearest 10000.
720000
Let h be 22/8*7*16/28. Let p(s) = 27277*s - 47. Let y be p(h). What is y rounded to the nearest 1000000?
0
Let v = 285 - 427. Let f = v - -142.093. Let i = | {
"pile_set_name": "DM Mathematics"
} |
thout replacement from qqnqvvlqlvnvvqvqnql?
1/323
What is prob of sequence ppm when three letters picked without replacement from {n: 5, m: 9, l: 1, p: 2, r: 1}?
1/272
Three letters picked without replacement from welllwlwl. What is prob of sequence ell?
5/126
Two letters picked without replacement from ncycccnyccncynyc. What is prob of sequence cc?
7/30
Calculate prob of sequence ksls when four letters picked without replacement from {s: 1, l: 2, k: 1}.
0
Calculate prob of sequence eubu when four letters picked without replacement from beapuappapue.
1/2970
Two letters picked without replacement from xyxxyyaxaxxxxyaxxx. What is prob of sequence xa?
11/102
Calculate prob of sequence knz when three letters picked without replacement from {z: 5, b: 1, s: 4, k: 1, v: 1, n: 1}.
5/1716
Two letters picked without replacement from {c: 2, a: 12, n: 4, d: 1}. Give prob of sequence nd.
2/171
What is prob of sequence zss when three letters picked without replacement from zxsdscsdfddz?
1/110
Two letters picked without replacement from bjbloglttggblj. What is prob of sequence bj?
3/91
What is prob of sequence prrr when four letters picked without replacement from {l: 2, m: 1, r: 3, p: 1}?
1/140
Three letters picked without replacement from iiirirmmriirriiiiri. Give prob of sequence mir.
22/969
Calculate prob of sequence jjij when four letters picked without replacement from {j: 3, i: 12}.
1/455
What is prob of sequence fvzb when four letters picked without replacement from {v: 1, z: 4, f: 1, o: 3, p: 4, b: 2}?
1/4095
Four letters picked without replacement from {r: 2, y: 8, h: 2}. What is prob of sequence yyyr?
28/495
Calculate prob of sequence vl when two letters picked without replacement from {k: 1, n: 3, m: 1, l: 1, v: 1}.
1/42
Four letters picked without replacement from xxxwtwwxxxtwwxtpppt. Give prob of sequence xxxw.
175/15504
Two letters picked without replacement from ccmcmhccvmcccpmmpvvh. Give prob of sequence cm.
2/19
Four letters picked without replacement from houu. What is prob of sequence uhuo?
1/12
Two letters picked without replacement from {s: 8, p: 7, h: 5}. What is prob of sequence sh?
2/19
Three letters picked without replacement from ttttdttttdddtt. What is prob of sequence dtt?
15/91
Four letters picked without replacement from {j: 5, v: 4, t: 8, z: 1}. What is prob of sequence jzvv?
1/1224
Calculate prob of sequence vt when two letters picked without replacement from {o: 3, v: 2, t: 1, h: 2, s: 4}.
1/66
What is prob of sequence hhh when three letters picked without replacement from hhhhhhhrhhhr?
6/11
What is prob of sequence sg when two letters picked without replacement from {f: 3, g: 2, w: 3, y: 1, s: 1}?
1/45
Three letters picked without replacement from {y: 1, w: 1, p: 1, l: 1, n: 1}. What is prob of sequence ynp?
1/60
Three letters picked without replacement from {q: 1, f: 3, g: 1, b: 2, e: 1, c: 3}. What is prob of sequence efg?
1/330
Calculate prob of sequence naa when three letters picked without replacement from {a: 2, n: 1}.
1/3
Two letters picked without replacement from {r: 6, p: 7}. Give prob of sequence rp.
7/26
Calculate prob of sequence tptp when four letters picked without replacement from pttttttttpttttpttt.
7/408
Calculate prob of sequence ynp when three letters picked without replacement from {p: 1, y: 2, t: 1, n: 2, f: 2}.
1/84
Two letters picked without replacement from ttatttttttttttt. Give prob of sequence aa.
0
Three letters picked without replacement from {m: 1, z: 1, c: 1}. Give prob of sequence mcz.
1/6
What is prob of sequence iiwj when four letters picked without replacement from {s: 3, i: 2, j: 5, w: 3}?
1/572
Calculate prob of sequence snnz when four letters picked without replacement from soznon.
1/180
Calculate prob of sequence scsc when four letters picked without replacement from ggsggccs.
1/420
Four letters picked without replacement from yylywlhwywwwylhlwww. Give prob of sequence wyyh.
10/2907
Calculate prob of sequence wil when three letters picked without replacement from {p: 1, i: 4, d: 6, n: 1, w: 4, l: 3}.
8/969
Two letters picked without replacement from rqqrqrrr. Give prob of sequence rr.
5/14
Two letters picked without replacement from {z: 2, u: 1, i: 1}. What is prob of sequence iz?
1/6
Four letters picked without replacement from okdtookokotdtooodtko. What is prob of sequence okdk?
9/3230
Four letters picked without replacement from aayaayaaaay. What is prob of sequence yaaa?
7/55
What is prob of sequence yz when two letters picked without replacement from zzzzzybzz?
7/72
Three letters picked without replacement from {z: 1, n: 4, j: 3, u: 1, c: 1, p: 2}. Give prob of sequence ncu.
1/330
What is prob of sequence ppo when three letters picked without replacement from owppooppwowwop?
25/546
Calculate prob of sequence eww when three letters picked without replacement from icgiiiwcccicjejwjcec.
1/1710
Four letters picked without replacement from mmnsnsssnseeneednssd. Give prob of sequence msmd.
7/29070
Four letters picked without replacement from fzfzzzzzzzzzzzzzfz. Give prob of sequence zffz.
7/408
What is prob of sequence dq when two letters picked without replacement from qqqqqqqqqqqqqdqqqqdq?
9/95
Four letters picked without replacement from {p: 5, n: 3}. What is prob of sequence npnn?
1/56
Two letters picked without replacement from {a: 3, c: 2}. What is prob of sequence cc?
1/10
Three letters picked without replacement from pyjj. Give prob of sequence ypj.
1/12
Calculate prob of sequence eo when two letters picked without replacement from {o: 2, e: 7}.
7/36
What is prob of sequence kkk when three letters picked without replacement from {k: 7, y: 5}?
7/44
What is prob of sequence wmmw when four letters picked without replacement from {m: 2, d: 5, w: 2}?
1/756
Three letters picked without replacement from qeeqqfh. What is prob of sequence hfe?
1/105
Three letters picked without replacement from {l: 1, b: 3, e: 3}. Give prob of sequence ble.
3/70
Three letters picked without replacement from rxrr. What is prob of sequence rrr?
1/4
Calculate prob of sequence jj when two letters picked without replacement from {j: 7, k: 5}.
7/22
Two letters picked without replacement from aawacccccaawwwccacc. What is prob of sequence wc?
2/19
Calculate prob of sequence toz when three letters picked without replacement from zzzotttoztz.
4/99
What is prob of sequence jelj when four letters picked without replacement from {k: 2, e: 3, j: 3, i: 1, l: 1, g: 1}?
1/440
Calculate prob of sequence ttt when three letters picked without replacement from {j: 3, l: 2, t: 4}.
1/21
Two letters picked without replacement from jwwdjdcjwjdwwg. Give prob of sequence dw.
15/182
What is prob of sequence dk when two letters picked without replacement from {c: 1, k: 2, d: 1, a: 1}?
1/10
Calculate prob of sequence mbma when four letters picked without replacement from bmbmbbabbbbmbbaabb.
1/340
What is prob of sequence lcc when three letters picked without replacement from clgwlcvwkwl?
1/165
Calculate prob of sequence laaa when four letters picked without replacement from qaalt.
0
Two letters picked without replacement from {w: 2, h: 1, s: 1, e: 2}. What is prob of sequence he?
1/15
Calculate prob of sequence prq when three letters picked without replacement from qqtprppppq.
1/48
Calculate prob of sequence ccc when three letters picked without replacement from {c: 9}.
1
Two letters picked without replacement from {c: 3, s: 2, z: 1, w: 9, q: 3, j: 1}. Give prob of sequence zq.
1/114
What is prob of sequence vzb when three letters picked without replacement from {v: 5, z: 3, b: 2}?
1/24
What is prob of sequence aoao when four letters picked without replacement from vtotoocaaosooov?
1/390
Three letters picked without replacement from dcggwdagwzcawdcwgww. What is prob of sequence gdg?
2/323
Two letters picked without replacement from {h: 5, m: 5, o: 3}. Give prob of sequence mm.
5/39
What is prob of sequence bbav when four letters picked without replacement from {p: 1, a: 3, b: 3, v: 4}?
1/110
Calculate prob of sequence noax when four letters picked without replacement from xxaxoauuxaxaxynxnu.
7/9180
Two letters picked without replacement from {r: 2, a: 1, b: 2, e: 1, t: 4, x: 2}. Give prob of sequence rb.
1/33
Three letters picke | {
"pile_set_name": "DM Mathematics"
} |
2*g**2 - 6*g**2) to c*g**2 + r + q*g**3 + f*g and give q.
-9
Rearrange -11*i**3 - 3 + i**2 + i**2 - i**3 to y*i**2 + n*i**3 + q*i + j and give j.
-3
Rearrange 9*q - 59*q - 40*q + 14*q to the form m*q + n and give n.
0
Rearrange 12*z**2 - 10*z**2 + 12*z**2 + (-4 + 2*z**2 + 4)*((0 + 1 + 2)*(0 + 3 - 1) + 2 - 1 + 2) to m*z + b + x*z**2 and give x.
32
Express (2*q - 6*q**2 - 2*q)*(9*q**2 - 2*q**2 + 7*q**2) + (q**3 + q - q)*(2*q - 2*q - 2*q) as v + j*q + o*q**3 + t*q**2 + s*q**4 and give s.
-86
Rearrange 12*a**3 + 1 + 0*a**2 - 2*a - a - 10*a**3 - 3*a**2 to g + q*a**3 + w*a + o*a**2 and give g.
1
Express -1 - 3*j + j**2 + 1 + 0*j in the form p*j**2 + c*j + h and give p.
1
Rearrange -2*n + 2*n**2 - 2*n**3 + 3 + 6*n**2 - 8*n**2 to the form f*n + g*n**2 + s + r*n**3 and give r.
-2
Rearrange (a**2 - 2*a**2 - 2*a**2)*(-a - a + a) + (-a**2 + 2*a**2 - 2*a**2)*(-3*a - 2 + 2) to d*a + u + w*a**3 + k*a**2 and give w.
6
Express 20*a - 4*a - 8*a - 5*a as q*a + d and give q.
3
Rearrange (-d**2 - 4*d + 3*d - d**2)*((1 - 1 + 2)*(4 - 1 - 2) + 0 - 1 + 2 - 1 + 0 - 5) - 3 - 2*d**2 + 3 to x*d**2 + r*d + i and give r.
3
Express (2 + 3 - 6)*(-n - 3 + 3)*(4 - 2*n - 4) as k + c*n + a*n**2 and give a.
-2
Rearrange 6*x + 3*x**2 - 6*x + 0*x to y + m*x**2 + i*x and give m.
3
Rearrange (x**2 - 4*x**2 - x**2)*(2*x**2 + 0*x**2 - 4*x**2) + 14*x**4 + 13*x**4 - 10*x**4 to j*x**4 + d + a*x**3 + b*x**2 + y*x and give j.
25
Rearrange -v**3 + v**4 - 3*v**3 + 3*v**3 + 0*v**4 - 2*v**4 + v**4 + (2*v - 2*v - v**3)*(11 - 11 + v) to the form h + y*v + w*v**4 + p*v**2 + u*v**3 and give h.
0
Express 11*d**2 - 17*d**2 + 18*d**2 + 0*d**3 - 2 + 3*d**3 as c + m*d**3 + r*d**2 + x*d and give r.
12
Express (-g**2 - 3 + 3 - 5*g)*(-6*g + 18*g - 10*g) in the form q + j*g + u*g**2 + x*g**3 and give u.
-10
Rearrange 2*m**3 + 5 - 18 - 2*m**4 + m**2 + 11 to c*m**2 + p + q*m**3 + f*m + b*m**4 and give b.
-2
Rearrange (32*m**3 + 41*m**3 - 92*m**3)*(-1 + 2 - 3)*(-1 + 4 - 5) to v*m + y + j*m**3 + c*m**2 and give j.
-76
Rearrange 4*p**3 - 3*p - 2*p**3 + 1 + 5*p - 4*p**2 - p to the form l*p + k*p**3 + r + i*p**2 and give l.
1
Express -u**3 - 5*u - 1 + 1 + 3*u**3 + 3 in the form w*u**2 + n*u**3 + c + x*u and give n.
2
Rearrange (1 - 1 + w + (3 - 1 - 4)*(1 - 1 + w) + 41 + 24*w - 41)*(3 + 4 - 5)*(3 - 3 - 2*w) to the form j*w**2 + u + h*w and give j.
-92
Rearrange (-32*t - 37*t - 9*t)*(3 - 1 + 0)*(4 - 2*t - 4)*(4 + 3 - 6) to the form h + m*t**2 + g*t and give m.
312
Express 2*n**3 - 3*n**3 - 3*n**3 + (2*n + 1 - 1)*(5*n**2 - n**2 - 3*n**2) + n**3 - 3*n**3 + 3*n**3 as f*n**2 + x*n**3 + z*n + v and give x.
-1
Rearrange (-4 + 1 + 1)*(-10 + 8 + 4)*((2 + 1 - 4)*(3*z + z - 3*z) + 1 - 2*z - 1) to the form n + t*z and give t.
12
Express -5*q**2 + 1 + 4 + 4*q**2 + 25*q + 14*q**2 - 25*q + (-4*q + 2*q + 0*q)*(4 + 2*q - 4) in the form u*q**2 + t*q + l and give u.
9
Express (5*o - 4*o + o)*(-2 - o + 2) + (0*o + 4*o - 6*o)*(-6 + 6 - 3*o) + 2*o + 2*o**2 - 2*o in the form b*o**2 + t*o + p and give b.
6
Rearrange 0 + 0*f**2 + 2 - 3*f**2 - 10*f**2 to the form x + d*f + p*f**2 and give p.
-13
Express o + 6*o - o as i*o + z and give i.
6
Rearrange -3 - w + 2 + w**3 + 0*w to j*w**2 + k + l*w + x*w**3 and give x.
1
Rearrange -d**3 + 219 - d**3 + 3*d**3 - 224 to the form x*d + w*d**3 + q*d**2 + o and give o.
-5
Express (l - 4*l + l)*(175 - 175 + 3*l) in the form w + g*l + x*l**2 and give x.
-6
Express (7 - 3 - 3)*(-4*p**2 + 0*p**2 + 3*p**2)*(-2 + 2 + 5*p) as n*p**2 + r*p + l*p**3 + q and give l.
-5
Rearrange -2*n + n**3 + 2*n**4 + 6*n**2 - 3*n**2 + 0*n**2 to l*n**4 + m*n + t*n**3 + p + h*n**2 and give h.
3
Express -5*p + p**2 + p**3 + 0*p + 0*p**2 as u + c*p + g*p**3 + v*p**2 and give v.
1
Rearrange -367*a**3 + 367*a**3 - 2*a + a**4 - 1 + 82*a**2 + 0*a to y + h*a**2 + k*a**4 + z*a + t*a**3 and give y.
-1
Rearrange -5*y**3 - 27*y**2 + 0*y**3 + 26*y**2 to i + c*y**3 + w*y + q*y**2 and give q.
-1
Express -18*y + 18*y - 17*y**2 in the form p + i*y**2 + x*y and give i.
-17
Express (0*p + 0*p + 2*p)*(-2 - 7 + 3) + ((-4*p + 2*p + 3*p)*(6 - 2 - 3) + p - 3 + 3)*(3 - 5 - 2) as w*p + l and give w.
-20
Express (529 - 167 - 165)*(3*s - 3*s - s) in the form u + d*s and give d.
-197
Rearrange 40*v + 9*v - 17*v to t + b*v and give b.
32
Rearrange (0*p - p + 0*p)*(-26 + 26 + 2*p)*(-2*p + p**2 + 2*p) to the form i*p + u*p**3 + z*p**2 + o + s*p**4 and give s.
-2
Rearrange (4*r**2 + 2*r**2 - 5*r**2)*((4 - 4 + 1)*(-2 + 3 + 0) + 3 - 5 + 3 + 3 + 1 - 1) to n + z*r**2 + s*r and give z.
5
Express (f**2 + 4*f**2 - 2*f**2)*(6*f + 1 - 4 + 1) in the form n*f**2 + p*f + h + c*f**3 and give p.
0
Rearrange 6*t + t + 2*t to the form m + k*t and give k.
9
Express -8*c**2 - 3*c - 11*c**2 + 3*c**3 + 19*c**2 in the form d*c**2 + n*c + p + s*c**3 and give p.
0
Express (3*u**2 + 0 + 0)*(-2*u + 31 - 31)*(-2*u - 5 + 5) in the form m*u**4 + k*u**3 + f*u + y + a*u**2 and give f.
0
Express f + 56*f**2 - 108*f**2 + 8*f**3 + 53*f**2 as p + x*f**2 + m*f**3 + a*f and give m.
8
Rearrange -2*g**2 + 17 - g**2 + 5*g**2 to the form d*g + o + k*g**2 and give o.
17
Rearrange 19*z - 19*z - 50*z to the form i + w*z and give w.
-50
Express -12*x**3 + x**2 + 2 + 6*x**3 + 9*x**3 as a*x**3 + m*x + y + z*x**2 and give z.
1
Express (-21 + 12*n + 21)*(2 + 1 + 0) + (6*n - 3*n - 2*n)*(1 + 2 - 2) + n + 2*n - 2*n as g + v*n and give v.
38
Rearrange (2 - 3 - 1)*(-o - 7*o + 36*o) to s*o + u and give s.
-56
Rearrange l - 5*l**2 - 7*l**2 + 0*l - 2*l to b + j*l**2 + u*l and give j.
-12
Express (-2*b**2 + 2*b**2 - 2*b**2)*(0*b**2 + 0*b**2 - b**2) + 0 + 3*b**4 + 0 + 2*b**4 + 0*b**4 + b**4 as u + z*b**2 + h*b**4 + v*b**3 + d*b and give z.
0
Rearrange -2*j**3 - 2 - 3*j + 9*j**2 - 16*j**2 + j**4 + j + 6*j**2 to n*j**4 + r*j**2 + i*j + v*j**3 + o and give i.
-2
Express (2 - 2 - 1)*(-2 - 2 + 5)*(18 + 2*s + 8*s - 9*s) in the form y + i*s and give i.
-1
Rearrange (26*w**2 - 23*w**2 + 7*w + 8*w)*(-3*w**2 - 4 + 4*w**2 + 3) to v + j*w + u*w**2 + c*w**3 + m*w**4 and give c.
15
Rearrange 5 + 0*j**2 - 17 + j**2 - 2*j**3 - 1 to r*j + l + u*j**3 + b*j**2 and give u.
-2
Rearrange 67 - 67 + 2*y**2 - 2*y**3 to d*y**3 + b + o*y**2 + s*y and give o.
2
Rearrange -5*v**4 + 1 + v**2 + v + 0*v + 9*v**4 - 2*v**3 to x*v**2 + o + l*v**3 + c*v + u*v**4 and give l.
-2
Express -3*q**4 - 3*q**2 + 1 - 81*q**3 + 1 + 44*q**3 + 40*q**3 as p*q**3 + x*q + i*q**2 + h*q**4 + l and give l.
2
Rearrange 7 - 17 - 3*w + 9 + 0*w + 2*w + 0*w + (-3 + 3 + 2)*(w - w + 2*w) to y*w + o and give y.
3
Express (-2 - 1 - 3)*(-2*s**2 + s**2 + 0*s**2) + (16*s - 17*s + 9*s)*(2*s + 0*s + 0*s) in the form n + c*s**2 + r*s and give c.
22
Rearrange 550*j**3 - 547*j**3 + 7 + 8 to the form r*j + b*j**2 + v*j**3 + c and give c.
15
Rearrange (s + 0 + 0)*(0 - s + 0) + 3*s**2 - 23*s**2 + 0*s**2 to d*s + m*s**2 + g and give m.
-21
Express -17*p**2 + 22*p**2 - 16*p**2 in the form n*p + v + j*p**2 and give j.
-11
Rearrange -4 - 3 - 11*w**3 + 5 + 13*w**3 to b*w**2 + h + d*w**3 + m*w and give h.
-2
Rearrange 11*w**2 + 8*w**2 + 4*w**2 to x*w + y*w**2 + s and give x.
0
Rearrange (18*z**2 - 5698*z + 5698*z - 4)*(2*z + 3*z - 2*z)*(0 - z + 0) to h + a*z**4 + m*z + b*z**2 + r*z**3 and give a.
-54
Rearrange -2*o**3 + 1 - 2 - 3*o**3 + 2*o**3 to i*o**3 + p*o + j*o**2 + w and give w.
-1
Express -202*b**4 + 200*b**4 + 4*b**3 - 3*b**3 + b**2 + 2*b**2 in the form t*b + o*b**3 + m + q*b**4 + f*b**2 and give q.
-2
Express -6*a**2 + 3 + a**2 + 7*a**2 + 2*a**4 - 3*a**3 in the form j*a**4 + h + r*a**3 + v*a**2 + n*a and give h.
3
Express 0*k + k - 3*k + (-2 + 0 + 1)*(-482 + 485 - 71*k + 20*k) as q + h*k and give q.
-3
Rearrange 5 + 3*r**2 + 2*r**2 + 8*r - 8*r to the form p*r**2 + f + c*r and give f.
5
Rearrange (0*w - 5 + 3 + 3*w)*(3*w - 7*w - 7*w + 3*w + w - 6*w + (-3 + 1 + 3)*(4*w - 2*w - 3*w) - 1 + 2*w + 1) to the form o*w**2 + k + p*w and give p.
24
Express (-5 + 5 - 2*n**2)*(-3*n + 2*n**2 + 3*n) - 26 + n**3 + 26 + 2*n**2 - 3*n**4 in the form m + d*n**4 + v*n**2 + q*n + g*n**3 and give v.
2
Rearrange 3 + 15*z - 1 - 2 to the form k*z + h and give k.
15
Rearrange 58*t + 40*t + 87*t - 25*t + 1 to the form n + x*t and give n.
1
Rearrange (4 + 31 + 5)*(0 - 4 + 5)*(-n - n + 0*n) to l*n + r and give r.
0
Express 0*i**2 - 3*i**2 + i**2 + (-5 + 5 + 12*i)*(-2*i + 0*i - i)*(-4 + 2 + 1) as l*i + o*i**2 + c a | {
"pile_set_name": "DM Mathematics"
} |
, 0.2, a?
0.2
Let y = 0.5 + 0. Suppose -183 - 13 = -7*z + 35*z. Which is the second biggest value? (a) y (b) 1/4 (c) z (d) 0.2
b
Let k = -62 + -202. Let l = k + 264.14. What is the second biggest value in -0.1, l, 0?
0
Let o = -187.5 + 187.66. Let g = -40/129 + -1/43. Which is the second biggest value? (a) g (b) o (c) 1
b
Suppose -12*d + 36*d - 72 = 0. What is the second smallest value in 0.4, -30/13, d, 0?
0
Let g be ((-8)/6)/(3/(-18)). Suppose 4 = -6*k - 8. Let j be k/(-4)*(g - 14). Which is the third smallest value? (a) j (b) 4/5 (c) 3/2 (d) -8
b
Let v = 56 - 4. Let r = v - 107. Let n = 55.4 + r. What is the second smallest value in 0.2, -0.3, -1/3, n?
-0.3
Let i = 742 + -742.449. Let w = -0.439 - i. What is the biggest value in w, 0, 0.12, -0.1?
0.12
Let z = 2.418 - 2.03. Let w = -0.012 - z. Let m = -0.2 + -0.1. Which is the smallest value? (a) w (b) -0.5 (c) m
b
Let q be 11/(-21) + (351/(-91))/27. What is the fourth smallest value in q, 25, -4/9, 2?
25
Let q be (2 - 1)/(1/2). Suppose 0*v + v = -q*i + 77, 0 = -2*v - i + 148. Let w = v + -295/4. Which is the biggest value? (a) w (b) 0.4 (c) -0.09
b
Let x = -503 - -503.364. Let t = 1.636 + x. What is the third biggest value in 0, t, 4.4?
0
Let u = 0.5 + -1. Let s = 6131/20247 + -128/397. Which is the third smallest value? (a) s (b) 3 (c) u
b
Suppose -545 = 71*f + 396*f + 856. Which is the fourth smallest value? (a) 1/6 (b) -19 (c) -1 (d) f
a
Let z(u) = -5 - 25*u - 1 + 0 + 31*u. Let m be z(5). Let h = -31 + m. Which is the second biggest value? (a) h (b) 3/8 (c) -3
c
Let r = 4761 + -61899/13. Which is the second smallest value? (a) r (b) 2 (c) -0.1 (d) -3 (e) -3/8
a
Let h = 20.8 + -21. Let n = -3 - -6. Suppose 0 = -2*m + 4 + 30. Which is the second smallest value? (a) m (b) n (c) h
b
Let s = 1.01 - 1. Suppose 2*w - 33 = -5*u, -w + 2*u + 4 = 19. Let x = 6 - 9. Which is the third biggest value? (a) x (b) s (c) -0.4 (d) w
d
Let c be (4 + 0 + (-6)/1)/((-2)/172). Let q be ((-1)/(-9))/((-1)/(-4)). What is the second biggest value in q, 0.3, c?
q
Let q = 8791/4 + -2200. Which is the smallest value? (a) -21 (b) q (c) -1/3 (d) 1
a
Let m(i) = i**3 - 3*i**2 + 2*i - 3. Let l be m(2). Let u = -4096 + 4096.2. Which is the smallest value? (a) l (b) u (c) -0.2
a
Let f = -7 - -4. Suppose 0 = -24*k - 7*k - 558. Let t(w) = w**2 + 13*w - 87. Let s be t(k). Which is the third biggest value? (a) s (b) f (c) 5 (d) -2/5
d
Let i = 303.29 - 304.29. What is the third biggest value in i, -0.3, -491?
-491
Suppose 3*y - 12 = y + 2*z, 0 = -4*y + 3*z + 21. Let v be (y - 0)/((-3)/(-4)). Let n = -74866 - -74901. What is the biggest value in n, -4, v?
n
Let f be (1 - 25/4) + 1. Let u = 388.3 - 391. Let j = u - -2.3. What is the third smallest value in f, j, -3/4?
j
Let d(l) = 4*l**2 - 78*l + 5. Let z be d(20). Suppose 5*v - z = -5*t, v - 14 = -2*t - 0*t. What is the second biggest value in t, 0.2, -4?
0.2
Let k = -200.1 + 408.1. Which is the second smallest value? (a) -2 (b) -5 (c) -1 (d) k
a
Let g = -144.36 - -146.36. Which is the third smallest value? (a) g (b) 1/3 (c) -24 (d) 2/11 (e) 20
b
Let d be (96/176)/(1/(-22)*-8). What is the second smallest value in 0.3, -2/5, -0.025, d?
-0.025
Let r be 1 + 0 + (-86)/26. Let w = r + 77/39. Let n be (3/2)/(60/(-40)). Which is the biggest value? (a) w (b) n (c) -5
a
Let u = 546.58 + -2.58. Let v = u + -546. What is the second smallest value in v, -24, -7?
-7
Let c be (1 - 7)/((-16)/(-512)). Let u be ((-2)/8)/(84/c). Let f = -11 - -5. What is the third smallest value in u, f, 1/8?
u
Let o = 146 - 136.9. Let s = o + -9.5. Let x be ((-2)/(0 - 1))/(-33). What is the smallest value in 2/3, x, 4, s?
s
Let a(l) = -46*l - 3. Let q be a(2). Let m = 92 + q. Let x = -27/8 - -181/56. What is the third smallest value in x, 0.1, m?
0.1
Let r = -0.2 + 0.21. Let d(n) = -3*n**3 - 47*n**2 + 18*n + 29. Let g be d(-16). What is the third smallest value in -0.01, r, g, -1/4?
-0.01
Let w = 184 + -922/5. Let z = 5 + -5.13. Let l = 4.87 - z. What is the biggest value in 0.5, w, l?
l
Let o = 7967/4 - 1992. What is the fourth smallest value in 0.5, -2, -1, o, 26/7?
0.5
Suppose 0 = 5*h + 15, -3*n + 7*n - 712 = 4*h. Suppose d = -n + 178. Which is the third biggest value? (a) d (b) -1 (c) -3/8
b
Suppose -3*v = -4 - 5. Suppose 7*q - 4*q + v = 0. Let u = -9.18 - -9.08. Which is the biggest value? (a) 40 (b) q (c) u
a
Let q be 2 - (6 + -7) - 0. Let f be (q - 0)/(7 + (-21)/(-6)). Let m = -1.3 + 0.6. What is the second smallest value in m, 0.3, f?
f
Let q = 12090 - 12089.9. What is the biggest value in -1, 0, -5, -2/7, q?
q
Let p = -2369 - -2369. Which is the second smallest value? (a) 0.83 (b) 0.07 (c) p
b
Let q = 241228 - 241227. Let j = 4 - 25/6. Which is the second biggest value? (a) -2 (b) -1.7 (c) j (d) q
c
Let m be (3 - (-29)/(-8))*(65/(-5) + 5). Which is the second biggest value? (a) 2/55 (b) m (c) 108
b
Let k = 0.7366 - 0.7366. Which is the third smallest value? (a) k (b) -4 (c) -39.4
a
Let f be (135 - 135)/((3/(-3))/1). Let z = 1.5 + -1.1. Which is the third biggest value? (a) f (b) -17 (c) z (d) 0.1
a
Let u = -12.19454 - 0.00546. Which is the fifth smallest value? (a) 0.5 (b) 3 (c) -1 (d) -4 (e) u
b
Let j = 2911 - 2908. What is the third biggest value in -2/15, j, 5.3, -5, -4?
-2/15
Let l = 2.205 - -132.295. What is the third biggest value in l, 1/8, -3?
-3
Let k = -20615 + 20615. What is the biggest value in -3, 2/31, k, -5, -1?
2/31
Let n be -4 + 3 - -5*1. Let z = -3686.7 + 3686.6. Which is the smallest value? (a) z (b) n (c) -3 (d) 0
c
Let q = 12.8 - 2.8. Let j = q - 10. Let y = -1 - -9. Which is the third smallest value? (a) 2 (b) y (c) j
b
Let k be (150/225)/(1/(-3)). Which is the smallest value? (a) k (b) -3 (c) -5 (d) 0.2 (e) -3/7
c
Let t = -386.2 - -385.3. What is the second smallest value in -0.4, t, -2/17, -0.1, -3?
t
Let y be 1/((-17)/119) - (-62)/10. Which is the second biggest value? (a) 4 (b) y (c) 1 (d) -4/7
c
Let v = 16328.5 - 16331.5. Let h = 1 + -1.2. Which is the second biggest value? (a) v (b) 2 (c) h
c
Let z be 2 + 70/(-32) - (-279)/27216*9. Let n = -25/3 - -8. What is the smallest value in 21/4, z, n?
n
Let r = -144.67 + 1.67. Let m = 147 + r. What is the fourth biggest value in -0.04, 0.4, 0, m?
-0.04
Let u = -0.2886 + -2.7114. Which is the fourth biggest value? (a) 0.26 (b) u (c) 2 (d) 1
b
Let m = -0.03816 - 0.26184. Suppose 4*s + 5*b = 275, -2*s - 2*s = -5*b - 285. Let y = s - 143/2. What is the third smallest value in m, -1, 1, y?
m
Let b(m) = -m + 6. Let f be b(10). Let i = 9.909 - 11.909. What is the biggest value in -0.06, i, f?
-0.06
Let t = -1453 + 1458. Suppose -2*n + 9 = -5*n. What is the biggest value in n, 0.2, t?
t
Let y = 743/980 + -2/245. Let g = -13.729 - -120.859. Let w = 107 - g. Which is the second smallest value? (a) -0.1 (b) w (c) y
a
Let n = 31/40 + -13/120. What is the fourth biggest value in 1/74, n, 0.1, 5?
1/74
Let l = 1169 + -1172. Suppose 4*o + 4 = 6*o. Which is the third smallest value? (a) o (b) 4/21 (c) l
a
Let t = -61.4 - -13.4. Let x = t + 48.2. What is the third biggest value in 2/3, -1, x?
-1
Let u = -0.307 - -3.307. Let l = -16.4 - 0.6. What is the third smallest value in l, u, 0.5?
u
Let f = -0.8 + -0.2. Let p = -10670 + 10670. Which is the third biggest value? (a) p (b) -2 (c) f (d) -1/3
c
Let k = -12933 - -12935. What is the second smallest value in -0.1, -24, -2, k?
-2
Let x = -0.2 - -0.3. Let o = 19.9 + -28.9. Let w = -9.03 - o. Which is the biggest value? (a) 1 (b) w (c) x
a
Suppose 56*m - 156*m - 5635 = 61*m. What is the second biggest value in m, 3/4, -2/7, 3/7?
3/7
Let u = -2481 + 2475. Let n = -88 + 437/5. What is the second smallest value in n, 5/2, u?
n
Let m be -12 - (-14)/875*755. What is the second biggest value in m, 225, -2/19?
m
Let k = 0.2 - 0.6. Let p(d) = d**3 + 19*d**2 - 39*d - 96. Let w be p(-20). Let x = -282 + w. What is the fourth biggest value in x, -0.2, k, -0.13?
k
Let x = -24.7 - 8.3. Which is the fourth biggest value? (a) -2/9 (b) -1 (c) x (d) -4
c
Let m = -0.08519 - 0.17481. Which is the second smallest value? (a) 3 (b) 19 (c) m
a
Let x = 2.6 + -1.5. Let b = 0.686 + 0.314. Let l = b | {
"pile_set_name": "DM Mathematics"
} |
h - 9. Let c(t) = 11242*t + 91. Let s(m) = 9*c(m) + 91*z(m). Let v(x) = 6*x. Calculate v(s(d)).
-6636*d
Let y(l) = -27*l**2 - 4*l + 4. Let a(o) = -22*o**2 - 3*o + 3. Let z(m) = -4*a(m) + 3*y(m). Let i(r) = -r**2 + 2*r**2 + 2*r**2 - 6*r**2. Calculate z(i(s)).
63*s**4
Let c(k) = -54696*k**2. Let t(w) = -404*w**2. Give c(t(z)).
-8927262336*z**4
Let i(d) = -135*d**2. Let y(h) = 20*h - 52*h + 17*h + 13*h + 8*h. What is y(i(a))?
-810*a**2
Let k(s) = 2*s. Let l(h) = 3*h**2 + 11*h - 89. Let v be l(-30). Let i(g) = v - 2281 + 3*g. Determine k(i(c)).
6*c
Let v(i) = 2*i**3 + 14*i**2 - 2*i - 12. Let t be v(-7). Let l(q) = 11*q**2 + 17*q**2 - 21*q**t. Let n(b) = 4*b**2. Determine l(n(y)).
112*y**4
Let d(h) = h**2. Let i(t) = 453851604*t**2. Calculate d(i(a)).
205981278453372816*a**4
Let u(o) = -18206*o. Let r(i) = -189*i + 1. What is r(u(t))?
3440934*t + 1
Suppose -j + 3 = -2. Suppose 4*s = -5*z + 292, -j*s = 4*z - 215 - 150. Let p(g) = -73*g - 2*g**2 + s*g. Let c(o) = 6*o**2. Give p(c(h)).
-72*h**4
Let s(v) = -2*v**2 - 8*v + v**2 + 11 - 16. Let p be s(-7). Let n(m) = -p*m + 5 - 5. Let x(g) = 20*g**2. What is x(n(d))?
80*d**2
Let v(f) be the second derivative of 71*f**4/12 + 3962*f. Let b(p) = -40*p. Calculate b(v(u)).
-2840*u**2
Let d(b) = -6*b. Let c(s) = 1463689*s. Calculate d(c(r)).
-8782134*r
Let i(d) be the first derivative of -2*d**3/3 + 5. Let m(x) = -141*x - 135*x + 513*x - 171*x + x**2 - 3*x**2. Calculate m(i(k)).
-8*k**4 - 132*k**2
Let o(m) = -14051*m - 139. Let n be o(-18). Let p(g) = 39*g + 252779 - n. Let w(r) = r**2. Give p(w(i)).
39*i**2
Let c(f) = 3*f. Let n(k) be the second derivative of -2*k**3/3 - 7*k**2/2 + 13*k - 53. What is n(c(q))?
-12*q - 7
Let s(v) be the third derivative of -v**5/30 - 19*v**3/6 - 324*v**2. Let w(c) = 28*c. Give w(s(q)).
-56*q**2 - 532
Let o(u) = 3*u - 60. Let a be o(26). Let v(j) = -a + 34 - 16 + 12*j. Let w(y) = 4*y. Give v(w(s)).
48*s
Let i(s) = 25*s + 96. Let r(w) = -100*w - 400. Let d(g) = -25*i(g) - 6*r(g). Let z(y) = -4*y + 13. Determine d(z(o)).
100*o - 325
Let m(o) = o + 42. Let f(k) = k + 24. Let g(j) = 7*f(j) - 4*m(j). Let q(b) = -126*b. Determine g(q(p)).
-378*p
Let q(j) = -j + 27. Let r(k) = 8*k - 198. Let t(f) = 44*q(f) + 6*r(f). Let l(y) = 287*y**2. Determine l(t(x)).
4592*x**2
Let d(z) = 12*z**2. Let b(q) = 1491*q + 1522*q - 2983*q. Give d(b(r)).
10800*r**2
Let j(a) = 2*a**2. Suppose -3*m + 5*i - 14 = 0, -4 + 8 = -4*m + 3*i. Let q(l) = -4*l**2 - 57*l + 26*l + l**2 + m*l**2 + 2*l. Determine j(q(z)).
2*z**4 + 116*z**3 + 1682*z**2
Let j(t) = 470 - 470 + 0*t**2 - 3*t**2. Let k(q) be the first derivative of -5*q**3/3 - 12. What is j(k(z))?
-75*z**4
Let p(x) = -1173850*x. Let g(r) = 2*r + 14. Give g(p(v)).
-2347700*v + 14
Let v(b) = 5*b**2 + 10*b + 5. Let w(c) = c**2 + 4*c + 2. Let i(d) = -2*v(d) + 5*w(d). Let n(y) = -7*y + 34. Give i(n(r)).
-245*r**2 + 2380*r - 5780
Let m(h) be the second derivative of 42*h**3 - 48*h**3 - 7*h + 33*h - h. Let v(y) = -y. Give v(m(s)).
36*s
Suppose 2*b + 18 = 5*q, -5*b = 4*q - 3*b. Let l(i) = i**2 + 6*i**q - 3*i**2 - 7*i**2. Let p(w) = -48*w**2. Determine p(l(u)).
-432*u**4
Let o(p) = 2*p**2. Let y(z) = 3809323*z. What is o(y(k))?
29021883436658*k**2
Let i(d) = 7*d**2 - 45*d. Let r(m) = 1006*m. Determine r(i(j)).
7042*j**2 - 45270*j
Let j(g) = -14*g - 2. Suppose 3*p = -r - 11, 0 = -18*p + 14*p - 5*r - 11. Let i(y) = -19*y - 2. Let n(u) = p*j(u) + 3*i(u). Let x(h) = 2*h. Give n(x(b)).
-2*b + 2
Let y(m) = m. Let c(g) = -844*g - 3266. What is c(y(w))?
-844*w - 3266
Let j(q) = -3*q**2 - 4*q - 61. Suppose -13*y - 61 = -9. Let n(t) = -t**2 - t + 1. Let o(a) = y*n(a) + j(a). Let u(z) = -2*z**2. What is u(o(x))?
-2*x**4 + 260*x**2 - 8450
Let u(w) = 2*w. Let b(t) = -5*t - 20. Let k be (-3)/((-10 + 13)/1). Let a(h) = -2 + 1 + 0. Let v(n) = k*b(n) + 20*a(n). Determine u(v(m)).
10*m
Let u(d) = -2*d**2 - 11*d. Let g(t) = -185722*t. Calculate g(u(r)).
371444*r**2 + 2042942*r
Let a(o) = -65*o**2. Let m(h) = 3312*h**2 + 2. What is m(a(u))?
13993200*u**4 + 2
Let y(d) = 2012*d. Let l(s) = -2*s - 3 - 15 + 2 + 16. What is y(l(h))?
-4024*h
Let x(p) = p**2 - 35. Suppose -18*y - 91 = -25*y. Let g(o) = 7*o**2 - 6. Let k(a) = -15*a**2 + 13. Let z(b) = y*g(b) + 6*k(b). What is x(z(m))?
m**4 - 35
Let x(k) = -921*k**2. Let r(q) = -30*q + 368. Let n(g) = 4*g - 48. Let o(j) = 46*n(j) + 6*r(j). Give o(x(l)).
-3684*l**2
Let n(u) = 7. Let f(q) = -q**2 - 21. Let h(s) = f(s) + 3*n(s). Let w(y) be the second derivative of 43*y**4/6 - 6*y. Calculate w(h(b)).
86*b**4
Let q(c) = -c**2. Suppose -61 = f - 68. Let l(s) = 20*s - 38*s - f*s. What is q(l(m))?
-625*m**2
Let y(z) be the third derivative of 0 + 0*z**4 + z**2 - 1/10*z**5 + 0*z**3 - 7*z. Let v(p) = -17*p**2. What is y(v(o))?
-1734*o**4
Let i(d) = 2849*d. Let t(o) = 21*o**2 + 65*o + 3. Determine i(t(q)).
59829*q**2 + 185185*q + 8547
Let s(h) = -h. Let y(p) = -516*p**2 + 16790. Calculate s(y(x)).
516*x**2 - 16790
Let b(o) be the second derivative of -187*o**3/2 + 1715*o. Let y(d) = 10*d**2. What is b(y(t))?
-5610*t**2
Let l(x) = -4*x**2. Let c be 1/(-2) - 70/(-28). Let f(v) = -1 + 50*v + 3 - c - 166*v. Give f(l(k)).
464*k**2
Let j(y) = -1998089*y. Let k(o) = -695*o**2 + 2. Give k(j(p)).
-2774689958085095*p**2 + 2
Let n(a) = -284*a - 2. Let r(i) be the second derivative of i**4/12 - 1317*i. Give n(r(s)).
-284*s**2 - 2
Let w(t) = 2936307*t. Let m(x) = -11*x**2. Give w(m(j)).
-32299377*j**2
Let h(d) = 5*d + 5. Let u = -181 - -183. Let f(z) = 247*z - 126*z - 121*z - z**u. Calculate h(f(g)).
-5*g**2 + 5
Let q(k) = k**2 - 2. Let b(t) be the second derivative of -5*t**4/24 + 5*t**2/2 + 7*t - 6. Let h(l) be the first derivative of b(l). Give q(h(g)).
25*g**2 - 2
Let v(c) = -2*c. Let a(m) be the first derivative of -27 + 19/2*m**2 + 0*m. Give v(a(y)).
-38*y
Let k(j) = -21*j. Let s(i) be the third derivative of 0 - 43*i**2 + 0*i + 0*i**3 + 0*i**4 - 1/60*i**5. Determine k(s(p)).
21*p**2
Let u(x) = 6954*x. Let t(m) = 4633*m. Let z(d) = 8*t(d) - 5*u(d). Let r(o) = -o**2. Determine z(r(i)).
-2294*i**2
Let i(g) = -16*g + 2. Let a = 76 - 74. Let k(w) = 28*w**2 - 30*w**a + 12*w - 12*w. What is i(k(b))?
32*b**2 + 2
Let x(m) = m**2 + 0 + 0. Let b(p) be the third derivative of 0*p**3 - 107*p**2 - 7/24*p**4 + 0 + 0*p. Determine b(x(u)).
-7*u**2
Let s(v) = 14*v**2 + 15*v. Let c(n) = 12*n**2 + 35. Let r(p) = 2*p**2 + 7. Let u(x) = -c(x) + 5*r(x). Determine s(u(d)).
56*d**4 - 30*d**2
Let b(l) = 2*l**2 - 5*l**2 + 2*l**2. Let q(y) = 1862*y**2 - 304*y + 456. Let s(k) = 61*k**2 - 10*k + 15. Let d(m) = 5*q(m) - 152*s(m). Determine d(b(c)).
38*c**4
Let i(a) = -15833*a. Let x(w) = -2*w**2 - w - 412. Give i(x(d)).
31666*d**2 + 15833*d + 6523196
Let l(p) = -254*p**2 + 757*p**2 - 277*p**2 + 16*p - 285*p**2. Let f(j) = -j**2. What is l(f(v))?
-59*v**4 - 16*v**2
Let g(d) = -1614322*d**2 + 2. Let b(q) = -2*q**2. Give g(b(y)).
-6457288*y**4 + 2
Let n(t) = -11461*t - 2. Let h(l) = 2*l**2. Calculate h(n(y)).
262709042*y**2 + 91688*y + 8
Let l(g) = -6105*g - 57. Let d(t) = -25*t**2. What is l(d(j))?
152625*j**2 - 57
Let n(s) be the second derivative of s**4/24 - 21*s**2 - 22*s + 2. Let c(d) be the first derivative of n(d). Let x(q) = -q**2 - 57*q. Determine c(x(v)).
-v**2 - 57*v
Let n = 57 + -53. Suppose 2*y + n = k + 1, -5*k = -5*y - 15. Let a(d) = -7*d**2 + y + 0 + 15*d**2. Let j(q) = -2*q. Calculate j(a(f)).
-16*f**2
Let g(f) = 3855*f**2. Let b(t) = -1855*t. Calculate b(g(s)).
-7151025*s**2
Let k(z) = 12*z + 28. Let w be k(-8). Let l = 70 + w. Let n(p) = -5*p**2 + p**l + p**2 + 6*p**2. Let x(o) = -2*o. Give x(n(q)).
-6*q**2
Let r(y) = -36*y**2 + 15*y. Let d(j) = 13*j**2 - 2731*j + 2727*j - 4*j**2. Let h(i) = 15*d(i) + 4*r(i). Let t(w) = w**2. Give h(t(k)).
-9*k**4
Let s(f) = -4*f**2. Let q(c) be the third derivative of -61*c**5/20 - 5*c**3/6 + 9*c**2 + c + 3. Give s(q(t)).
-133956*t**4 - 7320*t**2 - 100
Let v(j) = 22*j + 28*j - 7*j. Let n(i) = i + 7 + 3 + 7 - 16. Let u(h) = -8*h - 6. Let c(a) = 6*n(a) + u(a). What is v(c(k))?
-86*k
Let z(l) = 427*l**2 + 35*l. Let c(a) be the first derivative of -25*a**3/3 - a**2 - 11. Let n(p) = -35*c(p) - 2*z(p). Let q(j) = -2*j**2. Give q(n(i)).
-882*i**4
Let j(r) = -9*r**2. Let q(y) = 15*y + 42. Let a = -133 + 154. Let l(u) = -3*u - 8. Let x(f) = a*l(f) | {
"pile_set_name": "DM Mathematics"
} |
Let b(f) = -10*f**3 + 2*f**2 + 8*f + 7. Let c be b(s). Solve 2*v + 2*v + 2*g = -4, -3*v + c = -2*g for v.
1
Let a = 25 + -21. Suppose b + 4 = a*d - 12, -2*d = -8. Suppose -c + x = -3, c - 13 = -b*c - 4*x. Solve 5*m + 4*k + 2 = c, 0 = 5*m + 2*k - 9 for m.
3
Let j = -18 - -17. Let c be (j/(-1))/((-3)/(-48)). Let v = 479 - 455. Solve g - 5*t - v = -0*g, -c = 4*t for g.
4
Let d be 6 - 3 - (-1 - 1). Let y = 1745 + -1740. Solve 0 = 5*o + 4*v - 0 + d, y*o + 10 = -3*v for o.
-5
Let k(s) be the first derivative of -s**2/2 + 3*s + 8. Let v(h) = h**2 - h. Let y be v(1). Let n be k(y). Solve 4*q + b = -8, n*q = -5*b + 2 - 8 for q.
-2
Let j = 159 + -152. Let p be ((-4)/(-14))/(j/49). Solve -5*q + 2 - 3 = -k, p*q = 4*k + 14 for k.
-4
Let j = -48 + 235. Suppose -136 + j = 17*o. Solve -o*g + 0*g = 2*s + 11, -4*s - 4*g = 20 for s.
-4
Suppose h + h + 183 = 201. Let x = -5 + 16. Let g = x + -5. Solve p = 3*p + 2*c + g, 3*c = -p - h for p.
0
Suppose -53 = -4*i + 27. Suppose 544 = 14*a + 180. Suppose -i = 2*s - a. Solve -2*w + 4*v - 7 = -3, -s*v = 0 for w.
-2
Suppose -26*b - 279 = -409. Solve 0 = 2*f + 3*y + 16, -b*f + 0*y = -4*y + 17 for f.
-5
Suppose -108 = 129*b - 147*b. Solve -x - z = -b, 23 = -2*x - 2*z + 7*z for x.
1
Let u(b) = 2*b - 34. Let x be u(18). Suppose x*r + 59 = m, -5*m + r + 302 = -2*r. Let h = -59 + m. Solve -5*p + 4*p = 5*z - 28, h*p - 1 = z for p.
3
Suppose -2340 = -104*t - 676. Solve -r + t*w - 13*w = 7, 5*w - 13 = 3*r for r.
-1
Suppose -3*h - k + 32 = 0, 31 = -3*h + 3*k + 43. Solve -3*q + 3*r = 18, 0 = -q - h*r - 7 + 31 for q.
-3
Suppose 3*q - 7 - 5 = 3*i, -4*q = -i - 16. Suppose 31*o - 29*o = i. Solve 3*t - 11 = 5*n, 2*t + o = -2*n + 2 for n.
-1
Let k be (2 + 4)/(6/4). Suppose 6*x = -x - 2*x. Solve -w + p = 0, -k*w - 2*p = -x*p for w.
0
Let h = 441 - 436. Suppose -12*x = -h*x. Solve 2*c + 0*b - 4*b + 20 = x, 4*c - 4*b = -28 for c.
-4
Let d = 83 - 29. Let z be 5*1 + d/(-18). Solve 3*s - 4*j + 2 = -4, -j + 7 = z*s for s.
2
Let j(m) = 2*m**2 + 28*m - 237. Let y be j(-20). Solve 0 = -4*r + 4*a, 3*a = y*r + a - 2 for r.
2
Suppose 28*w = -15 + 73 + 82. Solve 5*k = -w*n + 24 - 39, 2*k + 9 = n for k.
-4
Let m be (-686)/(-5) + 1/(-5) + -4. Let j be (-4)/(-14) - (-627)/m. Solve -3*b + 18 = -5*x, -2*b + j*x + 11 = 2*x for b.
1
Suppose 99*s + 112*s = 0. Solve -3*v + 5*j - 8 = 6, -3*v - 3*j + 18 = s for v.
2
Suppose 0 = 267*z - 262*z - r - 23, -4*r = 5*z - 58. Solve -5*w + 2*o + z = 0, 3*w = -202*o + 200*o + 10 for w.
2
Let s be (1/6)/((-1234)/(-1020) - (-72)/(-60)). Solve -n + 19 = s, 2*i + 4*n = 2 for i.
-3
Suppose -4*g + 1027 = 5*t, t + 203 = 2*t + 2*g. Let b = t + -205. Solve -5*p = -r + 10, -5*p + b*p - 28 = -5*r for p.
-1
Let t = -12768 - -12781. Solve -3 = 5*a - 4*p + 3, t = -4*a - 5*p for a.
-2
Suppose 276*y + 3 + 72 = 301*y. Solve -3*p - 4 + 4 = y*w, 0 = -p for w.
0
Let l be (-2 + 1/(-1))*76/(-57). Suppose 9 = l*b + 1. Let u(t) = 8*t - 4. Let m be u(b). Solve -5*s - 4*x + m = 0, 5*x - 13 - 2 = -4*s for s.
0
Suppose -u - v + 412 = 0, u - 372 = -3*v + 40. Let r = u + -408. Solve -r*f = f - 2*w + 24, -3*w + 10 = -f for f.
-4
Let t be 5 - (2*-1 - -1). Let f = -14 + 14. Suppose -2*y + c + 13 = f, -3*y + 2*c = -3*c - 37. Solve 3*k + 5 = 2*o - t, 5*k + y*o - 11 = 0 for k.
-1
Suppose n = -3*a + 8*a + 33, -4*a - 21 = n. Solve 0 = -2*w + d + 7 - n, 5*d + 20 = -4*w for w.
0
Let i(h) = -h**2 + 121*h - 686. Let x be i(6). Solve 3*y - x*v + 5 = 0, 3*y + 11 = 9*v - 11*v for y.
-3
Suppose -4*y - 16 = 0, 5*i - y + 3 - 22 = 0. Solve -i*o + 3*c = c - 20, 12 = o - 2*c for o.
4
Let f = 72 + -100. Let p be 13/7 - 4/f. Suppose p*q = -2*q. Solve -5*h - 2 = -q*h - 3*u, -2*h = -3*u - 1 for h.
-1
Suppose -911*q = -903*q - 64. Let o be -1*(-4 - (-3)/(-3)). Solve 0 = 5*u + o*n + 14 + 21, u - 4*n = q for u.
-4
Suppose -5*k = -b + 48, -b = 4*b + 4*k - 153. Suppose 0 = -2*m - 5*l + b, -l + 2 = 3. Solve 5*j + m = -y + 3*y, 0 = 5*y - 3*j for y.
-3
Suppose 0*j - 3 = -3*j. Let y be (2/j)/(4/(-26)). Let r(c) = -2*c**3 - 26*c**2. Let n be r(y). Solve -2*a + 3*b - 17 = n, 3*a + 0*a + 3 = -3*b for a.
-4
Let b = -66 + 124. Suppose b - 30 = 7*j. Solve j*v + n + 20 = 6*n, 4*n = 16 for v.
0
Suppose -c = -131*c - 155 + 1325. Solve -10*b = 3*z - c*b + 19, -3*z - 2*b - 23 = 0 for z.
-5
Suppose -v + 2*h = -18, 2*h = -h - 15. Suppose 4*f = 2*p - 94 + 18, -3*p + 110 = -5*f. Suppose -p*n = -47 - 13. Solve -4*s = -4*l - v, -5*l + 3*l = n for s.
1
Suppose g = -2*r + 8, -15*g = -3*r - 11*g + 23. Solve -2*d + 9 = r, -d - 2 = b for b.
-4
Let y(z) = -z**3 - 16*z**2 + 10*z - 110. Let l be y(-17). Let u = 6 - 9. Let s be (u/2)/(24/(-112)). Solve -5*g + l + s = -d, -5*d = 4*g - 7 for g.
3
Suppose 0 = -3*k + 4*o - 1, -2*o + 7*o = 4*k. Suppose 0 = -i + 12 - k. Solve -4*g = -x + i, 0 = 2*x + 2*x + 4*g + 12 for x.
-1
Suppose 0 = -48*i - 99*i + 1911. Solve 2*s - 7*s - 15 = 0, -5*s = -x + i for x.
-2
Suppose -6*x - 880 = -50*x. Solve 0 = 5*w - y + 5*y + x, 3*w + 3*y + 15 = 0 for w.
0
Let m = 122 - 115. Solve -2 = -3*s - 5, 4*r - s + m = 0 for r.
-2
Suppose -3*t + 6*p - 8*p - 1077 = 0, 5*p = -5*t - 1790. Let l = 365 + t. Solve 3*g + 6 = -3*v, 23 = -l*v + 3*g + 1 for v.
-4
Let l(m) = 3*m**2 - 3*m + 17. Let t be l(-7). Let v = t - 128. Let o be (v/(-12) - -4)*-4. Solve -g = -2*p - 2*g - 3, -15 = o*g for p.
1
Suppose -2*q - 8 = t, -5*q - 99 = -5*t - 64. Solve 5*u = -5, 22 = -t*j - u + 11 for j.
-5
Let l be (-1)/(-9) - (25 + 1452/(-54)). Solve 4*n - 6*n = l*g - 2, -3*n + 4*g + 24 = 0 for n.
4
Suppose -161*d = -325 - 158. Solve d*y = 30*j - 25*j - 6, -5*j + 2*y = -9 for j.
3
Let z be 480/8 + -4 + 2. Suppose 0*o - 165 = 3*o. Let f = o + z. Solve -i - 2*i + 25 = -4*p, 7 = -f*i - 4*p for i.
3
Suppose 5*s = 7 + 8. Suppose 61 = 120*y - 419. Solve 2*d = -x + 4, -s*x + 0 = 2*d + y for d.
4
Suppose 5*s - 2956 = 2*b, 5*s - 6*b + b = 2965. Suppose -s*m = -587*m - 15. Solve 5*f - 5*v = -25, -5*f - m*v + 3 = -22 for f.
0
Suppose -2*k + 9 = k. Let m(n) = -n**2 - 33*n + 190. Let u be m(-38). Solve u = -5*g + 5, g + 2 = 5*h + k for h.
0
Let w(g) = -g**2 - 2*g + 60. Let f be w(8). Let m be (-3)/2 - 30/f. Solve -5*y - 5 = -z - m*z, -4*y - 2*z - 18 = 0 for y.
-2
Let s(l) = 3*l - 44. Let i be s(19). Suppose 2*f + 3*k - i - 125 = 0, -66 = -f - 3*k. Let y = f + -70. Solve -r - 6*m = -m + 16, -r + m + y = 0 for r.
-1
Suppose -8*v = -1502 + 1494. Solve -4*h - 3 - v = 0, 0 = -4*l - 4*h - 16 for l.
-3
Let b = -46 - -96. Suppose -b*w = -54*w. Solve j + w*j = 3*z + 10, 0 = z + 2*j + 8 for z.
-4
Suppose 20 = 2*a + 2*a. Let r(x) be the second derivative of -x**4/6 - x**3/6 + 6*x**2 - 2*x + 100. Let y be r(0). Solve 3*h + 2*m + a = 0, -4*m - y = 4 for h.
1
Suppose -5*z + 16 = 4*y, -5*z + 9 + 15 = -4*y. Let v = 10 + -4. Suppose 3*a = a + v. Solve -6*i + a*k - 1 = -2*i, z*k + 5 = -i for i.
-1
Suppose 0*u = 5*u + 4*d + 62, 5*u + 47 = d. Let z be u*(-5)/(-4)*(-3 - -1). Suppose z*q = 29*q - 20. Solve 0*a - 5*a = i - 24, q*a - 40 = -5*i for i.
4
Suppose 4*k - 44 = -2*x, -8*k + 5*k + 33 = 4*x. Suppose 20 = 5*z, -k*o = -10*o + 3*z - 18. Solve -i + 23 = -5*m, o*i + 3*m = 2*i for i.
3
Let h be ((-26)/(-10))/(8 - 39/5). Suppose 4 = -11*w + h*w. Solve 0 = j - 3, w*j = -3*g + 13 + 8 for g.
5
Let y(d) = d**2 - 10*d + 20. Let b be y(10). Let u(p) = p**3 + 3*p**2 - 6*p - 3. Let i be u(-4). Suppose i + 1 = 3*a. Solve 13 = 5*w + 33, 4*n = -a*w - b for n.
-3
Suppose -4*d = 5*l - 135, 0 = 4*l - 8*l + 3*d + 139. Suppose 0 = l*g - 78 + 16. Solve 4 = h, -g*p + 2*h + 18 = 6*h for p.
1
Let w(t) be the first derivative of -6*t - 1/2*t**2 + 6. Let f be w(-6). Solve 2*l - 2*g = -2, 5*l + f*g + 3 = 3*g for l.
0
Let d = -3714 - -3726. Solve 0 = 5*a - 2*t + d, -5*t + 5 - 33 = 2*a for a.
-4
Let k be -35*(-3)/((-60)/(-16)). Suppose 5*i = b + k, 4*b - 1 = -3*i + 2. Solve g = -i*x - 1 - 20, -2*x + 2 = 3*g for x.
-5
Suppose 50*g - 3788 = -3688. Solve 2*k = -f + 3, -57*f - 4*k + g = -59*f for f.
1
Let w be 26/(-14 - (-192)/12). Solve -53 + 65 = -3*o, 3*o = 5*u + w for u.
-5
Suppose 684 = 3*l + 4*x - 406, 0 = -5*l + 3*x + 1807. Let v = -356 + l. Solve 26 = -4*b + 3*h, 4*h - 33 = -b + v*b for b.
-5
Suppose 215*g - 226*g = -44. Solve -5*n = -5*f + 10, g*f - 5*n = -0*f + 9 for f.
1
Let a = -263 + 292. Suppose 8*u - a - 139 = 0. Solve -5*t - 4*b = -6*t - u, -3*t - 7 = 2*b for t.
-5 | {
"pile_set_name": "DM Mathematics"
} |
ow many millilitres are there in twenty-five halves of a litre?
12500
What is 321058.2ml in litres?
321.0582
What is 4.329184 millimeters in micrometers?
4329.184
What is one twentieth of a millennium in decades?
5
What is 6/5 of a micrometer in nanometers?
1200
How many months are there in 74836.78 years?
898041.36
How many millilitres are there in three eighths of a litre?
375
What is 201.3065 millilitres in litres?
0.2013065
How many hours are there in one sixth of a week?
28
What is thirteen fifths of a kilometer in meters?
2600
How many litres are there in 15.36534ml?
0.01536534
How many months are there in 15/4 of a year?
45
What is 2065.077 seconds in milliseconds?
2065077
How many tonnes are there in 413045.9mg?
0.0004130459
Convert 54.31846ml to litres.
0.05431846
What is 42112.647 microseconds in hours?
0.0000116979575
How many years are there in 26/5 of a millennium?
5200
What is 31/5 of a decade in years?
62
What is 7/8 of a meter in millimeters?
875
What is eleven halves of a week in minutes?
55440
How many seconds are there in 34/5 of a hour?
24480
Convert 6030.79 microseconds to milliseconds.
6.03079
How many nanoseconds are there in 0.9928307us?
992.8307
How many kilograms are there in 31367.51 milligrams?
0.03136751
How many milligrams are there in 25/4 of a gram?
6250
What is 7.253583 weeks in microseconds?
4386966998400
What is 947083.7 weeks in microseconds?
572796221760000000
What is 865351.2mm in nanometers?
865351200000
What is nine tenths of a minute in milliseconds?
54000
How many months are there in 171.9093 decades?
20629.116
What is eleven halves of a decade in years?
55
How many grams are there in 0.8864591 micrograms?
0.0000008864591
How many millimeters are there in fourty-nine fifths of a centimeter?
98
What is 53.78543ml in litres?
0.05378543
How many millilitres are there in 17/10 of a litre?
1700
Convert 52.66341ns to minutes.
0.0000000008777235
Convert 26.6269t to milligrams.
26626900000
Convert 62.1115 micrograms to milligrams.
0.0621115
How many decades are there in 490.752 centuries?
4907.52
What is 2385.638 years in millennia?
2.385638
What is twenty-six fifths of a century in years?
520
How many nanoseconds are there in 61/4 of a microsecond?
15250
What is thirteen eighths of a micrometer in nanometers?
1625
What is 8.37201 hours in milliseconds?
30139236
How many millilitres are there in sixty-four fifths of a litre?
12800
Convert 799978.7 litres to millilitres.
799978700
What is one quarter of a gram in milligrams?
250
How many milligrams are there in 11/4 of a gram?
2750
What is twenty-seven quarters of a decade in months?
810
What is 3/50 of a kilogram in grams?
60
Convert 65.79236mm to meters.
0.06579236
What is 1113.055 litres in millilitres?
1113055
What is 11/4 of a millimeter in micrometers?
2750
Convert 0.3321613ug to tonnes.
0.0000000000003321613
How many nanoseconds are there in 812760.8 days?
70222533120000000000
What is 9.785395l in millilitres?
9785.395
What is 11/8 of a microgram in nanograms?
1375
What is one sixth of a minute in milliseconds?
10000
How many centuries are there in 325.785 years?
3.25785
Convert 23.88676 micrometers to nanometers.
23886.76
How many millilitres are there in 6/5 of a litre?
1200
What is 0.217521 litres in millilitres?
217.521
What is 229.9061 millilitres in litres?
0.2299061
What is 7/4 of a gram in milligrams?
1750
How many years are there in 3/10 of a century?
30
How many months are there in 6/5 of a century?
1440
What is 3/40 of a kilogram in grams?
75
What is 21/4 of a kilogram in grams?
5250
How many millilitres are there in twenty-nine halves of a litre?
14500
Convert 3048.588 litres to millilitres.
3048588
How many micrometers are there in 6/5 of a centimeter?
12000
Convert 0.582971ml to litres.
0.000582971
How many kilograms are there in 35.4757g?
0.0354757
How many milliseconds are there in three fifths of a second?
600
Convert 16.39494 months to decades.
0.1366245
How many millilitres are there in 11/10 of a litre?
1100
How many nanograms are there in 288.0234 micrograms?
288023.4
How many millilitres are there in 3/5 of a litre?
600
How many millennia are there in 6.082336 years?
0.006082336
What is 1/6 of a minute in seconds?
10
How many micrograms are there in 0.8388595g?
838859.5
How many millilitres are there in 5/4 of a litre?
1250
How many millilitres are there in 44162.86l?
44162860
What is 1/6 of a century in months?
200
What is three eighths of a decade in months?
45
What is 95.15111 centimeters in micrometers?
951511.1
How many milligrams are there in 7.493771 kilograms?
7493771
How many milligrams are there in 3/50 of a gram?
60
How many months are there in seven halves of a year?
42
How many millilitres are there in eleven quarters of a litre?
2750
What is 849125.6 grams in tonnes?
0.8491256
Convert 53378.21 micrometers to millimeters.
53.37821
How many centimeters are there in 1/16 of a kilometer?
6250
How many centimeters are there in 786.3253mm?
78.63253
Convert 0.6902829ng to micrograms.
0.0006902829
How many micrograms are there in 3/50 of a milligram?
60
How many millilitres are there in thirty-seven fifths of a litre?
7400
What is three eighths of a kilometer in meters?
375
How many months are there in 31/5 of a millennium?
74400
How many kilograms are there in 29/2 of a tonne?
14500
What is 7/2 of a meter in millimeters?
3500
What is 8/15 of a millennium in months?
6400
How many centimeters are there in 79645.88m?
7964588
Convert 1.626066 months to centuries.
0.001355055
How many months are there in 6/5 of a century?
1440
How many years are there in 459.8409 millennia?
459840.9
How many decades are there in 21/2 of a millennium?
1050
How many decades are there in 5037.124 centuries?
50371.24
What is 21/2 of a gram in milligrams?
10500
What is 17/6 of a hour in minutes?
170
What is sixty-four fifths of a litre in millilitres?
12800
How many micrograms are there in 2.90378mg?
2903.78
How many months are there in 3/25 of a millennium?
1440
Convert 23815.64 nanometers to centimeters.
0.002381564
What is 4394.546 millennia in centuries?
43945.46
Convert 5.873716 micrometers to nanometers.
5873.716
What is five eighths of a gram in milligrams?
625
What is 461.0965 nanoseconds in microseconds?
0.4610965
What is twenty-five halves of a milligram in micrograms?
12500
Convert 6297.99 weeks to seconds.
3809024352
What is five quarters of a litre in millilitres?
1250
What is 5913.505l in millilitres?
5913505
Convert 56.2194ml to litres.
0.0562194
How many seconds are there in 1/27 of a week?
22400
How many centuries are there in 11/2 of a millennium?
55
How many millilitres are there in 3/10 of a litre?
300
How many seconds are there in five eighths of a day?
54000
What is twenty-one fifths of a meter in centimeters?
420
Convert 20.29564 litres to millilitres.
20295.64
What is 0.0001146kg in nanograms?
114600000
What is 74.75134l in millilitres?
74751.34
How many millimeters are there in 11/8 of a meter?
1375
What is 1/16 of a meter in micrometers?
62500
How many millilitres are there in 18.83567l?
18835.67
How many tonnes are there in 4.223891kg?
0.004223891
How many millilitres are there in 71/5 of a litre?
14200
Convert 3.4007877 seconds to days.
0.00003936096875
What is 6.182287 decades in months?
741.87444
Convert 16106.82g to micrograms.
16106820000
What is three sixteenths of a century in months?
225
What is 27/4 of a litre in millilitres?
6750
How many meters are there in eleven halves of a kilometer?
5500
How many milligrams are there in six fifths of a gram?
1200
Convert 77694.19 years to centuries.
776.9419
What is 3/25 of a litre in millilitres?
120
What is 0.5731996 seconds in nanoseconds?
573199600
What is seventeen quarters of a litre in millilitres?
4250
How many millimeters are there in nine tenths of a meter?
900
What is 12907.938ms in minutes?
0.2151323
How many hours are there in 3.51381 minutes?
0.0585635
What is fifteen quarters of a meter in centimeters?
375
How many years are there in fourty-two fifths of a century?
840
What is 2.688971 kilometers in nanometers?
2688971000000
How many nanoseconds are there in 4.493238 hours?
16175656800000
How many millimeters are there in 823.9936 micrometers?
0.8239936
What | {
"pile_set_name": "DM Mathematics"
} |
-107418
What is 25788 + -4?
25784
Add -5 and 0.0175.
-4.9825
Work out 2155 - -0.1.
2155.1
Put together 0.3 and 777824.
777824.3
What is -6772 less than -43?
6729
What is -7.4 take away -421?
413.6
Calculate -66 - 0.159.
-66.159
What is -3 + -128.1?
-131.1
What is -75.7 + -4?
-79.7
325.5+-0.321
325.179
Calculate 7 - 183.9.
-176.9
2983+-2
2981
What is the distance between -1.065 and -0.7?
0.365
Work out -4 + -278.
-282
What is -151 take away 19.4?
-170.4
Total of -37478 and 0.3.
-37477.7
What is -0.22 minus 998?
-998.22
Add together -2 and -1830.
-1832
Add together -236 and 6327.
6091
Add 23 and 1961.
1984
Calculate 0.1 - 5315.
-5314.9
Subtract -912 from 0.088.
912.088
What is the distance between -8 and -0.814?
7.186
Calculate -81 - -7.1.
-73.9
Calculate -5 - -0.0302169.
-4.9697831
What is -38.53 minus -0.4?
-38.13
What is 9.36 take away 0.076?
9.284
What is 39.79 plus -0.2?
39.59
Subtract 20430 from 0.09.
-20429.91
What is -5 plus 4.13091?
-0.86909
What is the difference between -275 and 6.82?
281.82
What is 66 take away -923?
989
Calculate 556538 - -0.3.
556538.3
-0.5+-634
-634.5
Calculate 333904 - -2.
333906
What is -0.04238 + 2?
1.95762
What is 0.0687 - -1?
1.0687
Subtract -1176 from -0.1.
1175.9
Sum 0.31 and 1.02.
1.33
Work out -6.4 - -3.77.
-2.63
What is the distance between -0.0779 and -273?
272.9221
What is 1 less than -32366?
-32367
Work out -4 + 143.5.
139.5
-0.061+14058
14057.939
Add -0.03 and -2212699.
-2212699.03
What is the distance between 149592 and 3?
149589
What is the distance between 2 and -2389?
2391
Calculate -3 - 30206.
-30209
What is -0.26 plus -0.23?
-0.49
Sum -1768.6 and 0.
-1768.6
-0.1 + -1.984
-2.084
What is -0.4 plus -2370?
-2370.4
Subtract 5 from -44197.
-44202
What is the difference between -3 and 0.026311?
3.026311
Add together 3839.54 and 1.7.
3841.24
What is 1 minus 1088.8?
-1087.8
What is -83601 + 1.5?
-83599.5
What is -0.116 + -44?
-44.116
Sum 2.73 and 0.0642.
2.7942
Add -5 and -2389.
-2394
What is -14 plus 0.124?
-13.876
-0.09 + -172
-172.09
What is -0.1 plus -0.02839?
-0.12839
Add together -595261 and 2.
-595259
Add 11.1 and -979.
-967.9
Subtract -4059 from 0.4.
4059.4
Work out 0.3 + -9.6214.
-9.3214
Total of 0.9 and -0.11634.
0.78366
Work out -90 + 6.9.
-83.1
What is -0.5 plus -244.05?
-244.55
Work out 1134 + 2.3.
1136.3
What is 364.5 + 1?
365.5
Subtract -47049 from -0.5.
47048.5
Total of -21 and -0.38.
-21.38
Subtract 5 from -41.75.
-46.75
Calculate 371 + 5.
376
Subtract 0.2 from -569492.
-569492.2
Work out 298662.2 - -0.5.
298662.7
Put together -85429 and -0.3.
-85429.3
What is 3 minus 1639?
-1636
What is -0.2 take away 44539?
-44539.2
What is 0.4 less than 0.1319?
-0.2681
What is 0.4 less than 0.4889?
0.0889
Total of 82 and 25.
107
Add -46667 and 3.
-46664
What is the distance between 3 and -10.7321?
13.7321
Work out -327 - -0.313.
-326.687
What is -124144 - -0.1?
-124143.9
What is 19 + -2?
17
Calculate -409.19 - -0.05.
-409.14
Work out -0.26 - 153.
-153.26
Subtract -204.4299 from -1.
203.4299
What is -550 minus -5?
-545
0.0083 - 0.049
-0.0407
What is -24.9 - -0.7?
-24.2
What is -10 minus 36?
-46
-5 - 4016
-4021
-3.0582 + -39
-42.0582
-0.5+-84717
-84717.5
Add together -0.18 and 29.8.
29.62
Add together 35 and 158.49.
193.49
Add together 1.1 and -91.
-89.9
Add together 177 and 2.
179
Add together 640 and -5247.
-4607
What is 23 - 1.847?
21.153
What is 21 less than -1.76?
-22.76
What is -0.147982 + -0.3?
-0.447982
Total of -1.1 and -0.0346.
-1.1346
What is the distance between 0.062 and -0.036879?
0.098879
72 + -32650
-32578
Total of 1.16876 and 0.3.
1.46876
-12.9+-1106.1
-1119
Work out 97 + -96.
1
Calculate -28535 + 0.
-28535
What is -0.995 minus -13?
12.005
What is 708 less than 0.4?
-707.6
Sum -0.3 and -54.84.
-55.14
-0.65 + 143
142.35
What is -0.3 plus 154357?
154356.7
Put together 37.058 and -0.5.
36.558
What is 1.1 take away -3671?
3672.1
-66 - 11223
-11289
Work out -0.1 - -7694.
7693.9
What is -0.1 - 30064?
-30064.1
Add together -0.4 and 4626.
4625.6
Put together -131 and -421.
-552
Sum 0.036048 and -0.12.
-0.083952
-78 - 1.6448
-79.6448
-5.92044 - 2
-7.92044
Add -3.98602 and -0.3.
-4.28602
What is 0.5 take away 1159.1?
-1158.6
Calculate -0.037 - 7.009.
-7.046
Add -0.154 and -2.
-2.154
Calculate 0.1 - -12215.
12215.1
What is -4 plus -2717?
-2721
What is 1079 - 0.5?
1078.5
What is -1.2 take away -20.902?
19.702
What is 11 plus 0.0251?
11.0251
What is the difference between 3 and 191.98?
188.98
Total of -8.0143 and -0.3.
-8.3143
Add 828429 and 0.5.
828429.5
Work out 80984 + -0.21.
80983.79
What is the distance between 0 and -0.066?
0.066
What is -0.13 take away 7204?
-7204.13
What is 0 minus 34.6?
-34.6
What is -2 take away -656.5?
654.5
Subtract 6 from -0.28.
-6.28
Add 0.187 and -0.8.
-0.613
Calculate -23.0324 + -0.3.
-23.3324
Work out -0.2 + 11.444.
11.244
-4.01 + 0.04
-3.97
What is -15.83 plus -9.9?
-25.73
Calculate -407 + -7.
-414
Work out 29 + 0.0774.
29.0774
What is -1.9 less than 3.77?
5.67
What is 5 - 11.17?
-6.17
What is the distance between -13.46 and 1063?
1076.46
What is the distance between 0.09054 and 2?
1.90946
Calculate -25 + -17.4.
-42.4
Work out -0.055393 - -9.9.
9.844607
What is -0.2 take away -231184?
231183.8
What is -1 take away 139395?
-139396
What is the difference between 894 and -0.0057?
894.0057
What is the distance between -1.15 and -0.02?
1.13
Subtract 0.6214 from 0.19.
-0.4314
What is 0.02 less than -565?
-565.02
What is 705 take away 7?
698
Subtract 37633 from -32.
-37665
Calculate -0.2017 + -1.018.
-1.2197
What is -0.39 take away 7751?
-7751.39
Work out 283 + 15.
298
Work out -190 - -6.
-184
What is -521 + -9?
-530
What is -5119 take away -0.3?
-5118.7
Total of -158.3 and -2.
-160.3
Work out -12 - -0.041558.
-11.958442
Subtract -6689 from -2.
6687
What is -5 - 917?
-922
What is -0.4 less than -7.45?
-7.05
What is 735 take away 3?
732
What is 40 take away 462?
-422
Subtract 714 from -1.
-715
7.089 + -19
-11.911
48 - 9630
-9582
1+-3484
-3483
What is -5.0569 + 2?
-3.0569
Calculate -1212 - -0.001.
-1211.999
What is the difference between -24 and 46?
70
Sum 0.1 and -331.
-330.9
What is -17 less than 5115?
5132
Subtract 0.72 from 35.
34.28
What is the distance between -0.131 and -2?
1.869
Add -3 and -0.0929.
-3.0929
What is 37109 plus 35?
37144
1261527 + -0.4
1261526.6
What is the distance between 0.29 and 0.64?
0.35
What is -220682 minus -2?
-220680
Add 338 and -8.
330
Total of -8054 and -16.
-8070
-136+4.58
-131.42
What is 1980.26 take away 0.3?
1979.96
Work out 0.05 + -670.
-669.95
Work out 532 + 734.
1266
0.41+170
170.41
What is -10 - 79?
-89
Subtract 4.9 from -0.059118.
-4.959118
What is -2 plus -222?
-224
What is -0.09 less than 34299?
34299.09
Calculate -0.4 + 1696390.
1696389.6
-32.57 + -0.03
-32.6
Add together 0.2 and -85.815.
-85.615
What is -1.5 minus -21.81?
20.31
Calculate -33 - -148086.
148053
Total of 0.28 and 15168.
15168.28
What is -0.62 + -3974?
-3974.62
Calculate -59109.1 - -1.
-59108.1
What is the difference between -2.8 and -18856?
18853.2
0.6 - -207
207.6
What is 191640 plus -0.2?
191639.8
What is -991 minus 17.3?
-1008.3
Work out -1.867 - 0.41.
-2.277
What is 0.04 less than 25.939?
25.899
57 + 7.52
64.52
Subtract -0.1 from 112533.
112533.1
Sum 0.48842 and 0.1.
0.58842
34 - 12922
-12888
Total of 4636 and 1.8.
4637.8
What is -131.8 less than -0.27?
131.53
0.1 - 64426
-64425.9
Add -49 and 327.
278
Work out -46 - 0.053.
-46.053
Total of 27 and 2368.
2395
Calculate 0.4 + -0.39.
0.01
Calculate -378807 + -0.1.
-378807.1
Add -0.5 and 6603.
6602.5
Work out 703 + -0.04.
702.96
0.4+0.34182
0.74182
Calculate -5.1 + 3.773.
-1.327
Calculate -245316 - -4.
-245312
1857 + -5
1852
Calculate 0.21 - -118.
118.21
13 - 122.6
-109.6
What is -0.0791 take away -1149?
1148.9209
Add -24 and -27703.3.
-27727.3
What is 29.2 + -35?
-5.8
Calculate 5 + -481.
-476
Add 0.9 and -40527.
-40526.1
Add together 2154 and 118.
2272
Add 5 and -4.858.
0.142
Calculate -47997.1 - -4.
-47993.1
Work out -0.3 - 2249724.
-2249724.3
Calculate -4 + -3.381.
-7.381
What is -10.01349 plus 0.5?
-9.51349
233 + 0.1
233.1
What is the distance between -0.08 and -28.62?
28.54
What is -0.264 plus -3?
-3.264
Calculate 0.034 + 256.21.
256.244
Subtract 58 from 2.2.
-55.8
Calculate -5 + -2232.
-2237
What is the | {
"pile_set_name": "DM Mathematics"
} |
s the b'th term of 140, 178, 230, 302, 400, 530?
b**3 + b**2 + 28*b + 110
What is the h'th term of 9, 35, 79, 141?
9*h**2 - h + 1
What is the l'th term of 506, 2025, 4550, 8075, 12594, 18101, 24590, 32055?
-l**3 + 509*l**2 - l - 1
What is the y'th term of 243, 244, 253, 276, 319, 388, 489, 628?
y**3 - 2*y**2 + 244
What is the w'th term of -53, -50, -45, -38?
w**2 - 54
What is the b'th term of -84, -174, -266, -360?
-b**2 - 87*b + 4
What is the f'th term of 7, -10, -45, -104, -193, -318, -485, -700?
-f**3 - 3*f**2 - f + 12
What is the c'th term of 49, 112, 175?
63*c - 14
What is the p'th term of -62, -127, -192, -257, -322, -387?
-65*p + 3
What is the q'th term of 43, 377, 1287, 3061, 5987, 10353, 16447?
48*q**3 - 2*q - 3
What is the j'th term of 3, 4, 1, -12, -41, -92?
-j**3 + 4*j**2 - 4*j + 4
What is the q'th term of 59, 233, 523, 929, 1451, 2089, 2843?
58*q**2 + 1
What is the f'th term of 463, 904, 1345, 1786?
441*f + 22
What is the k'th term of 430, 430, 436, 454, 490, 550?
k**3 - 3*k**2 + 2*k + 430
What is the r'th term of 1451, 1451, 1461, 1487, 1535, 1611, 1721, 1871?
r**3 - r**2 - 4*r + 1455
What is the s'th term of -21191, -21192, -21193, -21194, -21195, -21196?
-s - 21190
What is the i'th term of -47, -46, -43, -38, -31?
i**2 - 2*i - 46
What is the v'th term of -523, -1050, -1577?
-527*v + 4
What is the d'th term of -222, -452, -682, -912, -1142, -1372?
-230*d + 8
What is the u'th term of -25, -60, -103, -154, -213, -280?
-4*u**2 - 23*u + 2
What is the q'th term of 30, 98, 212, 372, 578, 830, 1128?
23*q**2 - q + 8
What is the j'th term of -131, -262, -393, -524, -655?
-131*j
What is the d'th term of 54, 141, 272, 447, 666, 929, 1236?
22*d**2 + 21*d + 11
What is the b'th term of 108, 218, 328, 438, 548?
110*b - 2
What is the y'th term of -208, -210, -212, -214, -216?
-2*y - 206
What is the g'th term of -12, -85, -168, -267, -388, -537, -720, -943?
-g**3 + g**2 - 69*g + 57
What is the k'th term of 0, -7, -10, -9, -4, 5, 18?
2*k**2 - 13*k + 11
What is the z'th term of -70, -70, -80, -106, -154?
-z**3 + z**2 + 4*z - 74
What is the r'th term of 973, 987, 1017, 1069, 1149, 1263?
r**3 + 2*r**2 + r + 969
What is the o'th term of -7, -36, -117, -274, -531, -912?
-4*o**3 - 2*o**2 + 5*o - 6
What is the k'th term of -24, -29, -22, 3, 52, 131, 246, 403?
k**3 - 12*k - 13
What is the y'th term of -73, -37, 23, 107, 215, 347?
12*y**2 - 85
What is the s'th term of -997, -1994, -2991, -3988, -4985?
-997*s
What is the s'th term of -6, -34, -66, -90, -94, -66, 6?
2*s**3 - 14*s**2 + 6
What is the o'th term of 126, 141, 180, 255, 378, 561, 816?
2*o**3 + o + 123
What is the v'th term of 91, 85, 79, 73, 67?
-6*v + 97
What is the x'th term of -27, -61, -105, -165, -247, -357?
-x**3 + x**2 - 30*x + 3
What is the k'th term of 44, 92, 136, 176, 212?
-2*k**2 + 54*k - 8
What is the v'th term of 4, 19, 58, 133, 256?
2*v**3 + v + 1
What is the n'th term of 48, 96, 144?
48*n
What is the a'th term of -60, -55, -24, 45, 164, 345?
2*a**3 + a**2 - 12*a - 51
What is the g'th term of -17, -13, -7, 1?
g**2 + g - 19
What is the o'th term of -4442, -8881, -13320, -17759, -22198, -26637?
-4439*o - 3
What is the y'th term of -93, -97, -105, -117, -133, -153?
-2*y**2 + 2*y - 93
What is the f'th term of 27, 143, 351, 657, 1067, 1587, 2223?
f**3 + 40*f**2 - 11*f - 3
What is the q'th term of 571, 1141, 1711?
570*q + 1
What is the h'th term of -1, 28, 91, 194, 343, 544, 803?
h**3 + 11*h**2 - 11*h - 2
What is the g'th term of 2574, 10290, 23150, 41154?
2572*g**2 + 2
What is the k'th term of -60, -525, -1786, -4239, -8280, -14305, -22710, -33891?
-66*k**3 - 2*k**2 + 3*k + 5
What is the q'th term of -37, -81, -145, -235, -357, -517, -721, -975?
-q**3 - 4*q**2 - 25*q - 7
What is the s'th term of -9, -27, -45, -63, -81, -99?
-18*s + 9
What is the y'th term of -9, -1, 11, 27, 47, 71, 99?
2*y**2 + 2*y - 13
What is the y'th term of 128, 130, 132?
2*y + 126
What is the o'th term of 33, 18, -13, -66, -147, -262, -417, -618?
-o**3 - 2*o**2 - 2*o + 38
What is the f'th term of -10, -51, -156, -355, -678, -1155, -1816?
-5*f**3 - 2*f**2 - 3
What is the h'th term of -16, -66, -152, -274, -432?
-18*h**2 + 4*h - 2
What is the m'th term of 896, 1791, 2686, 3581, 4476?
895*m + 1
What is the f'th term of 1509, 3027, 4545, 6063, 7581?
1518*f - 9
What is the g'th term of 1027, 2055, 3083?
1028*g - 1
What is the l'th term of -290, -579, -868?
-289*l - 1
What is the d'th term of 11112, 11108, 11102, 11094, 11084, 11072?
-d**2 - d + 11114
What is the b'th term of -12825, -12824, -12823?
b - 12826
What is the b'th term of -16, -60, -184, -430, -840, -1456?
-7*b**3 + 2*b**2 - b - 10
What is the i'th term of -93, -97, -103, -111?
-i**2 - i - 91
What is the i'th term of -85, -83, -73, -49, -5, 65, 167, 307?
i**3 - 2*i**2 + i - 85
What is the l'th term of 21, 21, 19, 15?
-l**2 + 3*l + 19
What is the p'th term of -79, -80, -93, -124, -179, -264?
-p**3 + 6*p - 84
What is the c'th term of 7403, 7401, 7399?
-2*c + 7405
What is the a'th term of -4, -28, -70, -136, -232, -364?
-a**3 - 3*a**2 - 8*a + 8
What is the k'th term of -23, 3, 17, 13, -15, -73, -167?
-k**3 + 33*k - 55
What is the h'th term of 3188, 3193, 3200, 3209?
h**2 + 2*h + 3185
What is the r'th term of -15, -16, -17, -18?
-r - 14
What is the a'th term of -27, -242, -827, -1968, -3851?
-31*a**3 + a**2 - a + 4
What is the l'th term of 70, 260, 572, 1006, 1562?
61*l**2 + 7*l + 2
What is the y'th term of -327, -658, -989, -1320?
-331*y + 4
What is the j'th term of -407, -802, -1199, -1598, -1999, -2402, -2807?
-j**2 - 392*j - 14
What is the v'th term of -481, -957, -1433, -1909, -2385, -2861?
-476*v - 5
What is the t'th term of -2786, -2792, -2808, -2840, -2894, -2976, -3092?
-t**3 + t**2 - 2*t - 2784
What is the l'th term of -111, -106, -115, -144, -199, -286, -411?
-l**3 - l**2 + 15*l - 124
What is the n'th term of -209, -347, -495, -659, -845, -1059?
-n**3 + n**2 - 134*n - 75
What is the l'th term of -162, -159, -156, -153, -150, -147?
3*l - 165
What is the o'th term of -22, -12, 0, 14, 30?
o**2 + 7*o - 30
What is the y'th term of -597, -584, -571, -558?
13*y - 610
What is the y'th term of -61, -123, -185, -247, -309?
-62*y + 1
What is the y'th term of 589, 593, 597, 601?
4*y + 585
What is the v'th term of 194, 393, 592, 791?
199*v - 5
What is the v'th term of 11, -39, -113, -205, -309, -419?
v**3 - 18*v**2 - 3*v + 31
What is the r'th term of 1225, 2453, 3681, 4909, 6137, 7365?
1228*r - 3
What is the t'th term of -301, -286, -271, -256, -241?
15*t - 316
What is the f'th term of -221, -219, -217, -215, -213?
2*f - 223
What is the v'th term of 9, 14, 19?
5*v + 4
What is the b'th term of -118, -128, -134, -136, -134, -128, -118?
2*b**2 - 16*b - 104
What is the f'th term of -30, -29, -12, 33, 118, 255, 456, 733?
2*f**3 - 4*f**2 - f - 27
What is the a'th term of -146, -175, -204, -233, -262, -291?
-29*a - 117
What is the p'th term of 1684, 3366, 5048, 6730, 8412?
1682*p + 2
What is the r'th term of -10, -17, -30, -55, -98, -165, -262, -395?
-r**3 + 3*r**2 - 9*r - 3
What is the n'th term of -353, -708, -1061, -1412, -1761, -2108, -2453?
n**2 - 358*n + 4
What is the p'th term of 22, 53, 112, 205, 338, 517, 748, 1037?
p**3 + 8*p**2 + 13
What is the i'th term of 10, 30, 58, 94, 138, 190?
4*i**2 + 8*i - 2
What is the z'th term of -26, -26, -24, -20, -14?
z**2 - 3*z - 24
What is the d'th term of -1349, -1348, -1347, -1346, -1345?
d - 1350
What is the f'th term of 114, 207, 282, 339, 378, 399, 402?
-9*f**2 + 120*f + 3
What is the t'th term of -20, -19, 14, 103, 272, 545, 946?
4*t**3 - 8*t**2 - 3*t - 13
What is the r'th term of -33, -36, -37, -36?
r**2 - 6*r - 28
What is the b'th term of 4, 22, 64, 142, 268, 454, 712, 1054?
2*b**3 + 4*b - 2
What is the q'th term of 14111, 14112, 14113, 14114, 14115, 14116?
q + 14110
What is the p'th term of 1447, 2878, 4307, 5734, 7159, 8582, 10003?
-p**2 + 1434*p + 14
What is the d'th term of 7, 10, 13, 16, 19, 22?
3*d + 4
What is the u'th term of -40, -65, -116, -205, -344, -545, -820?
-2*u**3 - u**2 - 8*u - 29
What is the r'th term of 10203, 20410, 30617, 40824, 51031?
10207*r - 4
What is the m'th term of 39, 45, 51, 57?
6*m + 33
What is the i'th term of -326, -342, -358?
-16*i - 310
What is the h'th term of -131, -530, -1195, - | {
"pile_set_name": "DM Mathematics"
} |
3. Let t be u(3). Let m be x(t). Suppose 3*f = -m*n + 3172, 2*n - f = 3*f + 1274. Is n prime?
False
Is ((-177046)/(-1))/((-46)/(-92) + 2/4) a composite number?
True
Let q(z) = z**3 + 21*z**2 - 9*z + 11. Let v be q(19). Suppose 2*f - 5*b = 7143, 4*f - v = 3*b + b. Suppose -5*i + 966 = -f. Is i a prime number?
True
Let a(x) = -x**3 - 6*x**2 + 2*x + 20. Let u(g) = 8*g + 49. Let v be u(-7). Is a(v) composite?
True
Suppose a + 5*y - 23 = 0, 5*a - 21*y + 20*y = 63. Suppose 17*z - a*z - 57092 = 0. Is z a prime number?
False
Suppose -4*l - 3*x + 14062 = 0, -49*x = 4*l - 45*x - 14060. Suppose -21*b + l = u - 16*b, u + 2*b - 3517 = 0. Is u a composite number?
False
Suppose 2*b - 40737 = -0*b + 5*y, -2*b + 3*y + 40731 = 0. Suppose 22*j - 25*j = -b. Is j composite?
True
Suppose -78*h + 55 = -73*h. Suppose h*b + 19*b - 380670 = 0. Is b composite?
False
Let z(b) = b**2 + 9*b + 23. Let l be z(-6). Suppose 0*d = -4*d + i + 10001, -3*i + 12514 = l*d. Is d prime?
False
Suppose 3*l + 0*l = -4*x + 203, 5*x = -5*l + 255. Suppose 4*t - x = 266. Suppose 4*u - 1341 = t. Is u a composite number?
True
Suppose 5*i - 3*l = 52, -14*i + 17*i + 5*l = 4. Suppose 17 = i*c - 87. Suppose 0 = -3*v + c*v - 1630. Is v composite?
False
Let s(l) = l**2 - 4*l + 3. Let a be s(4). Suppose a*d - 34 = -b, -5*d = -2*b - 0*d + 112. Let i = 855 + b. Is i composite?
True
Let y(v) = -5*v**3 + 5*v**2 + 3*v. Let z be y(-1). Is (z/21)/(1/177) a prime number?
True
Let z = -128 - -128. Let w(b) = z - 4 + 70*b**2 + b + 4. Is w(1) a prime number?
True
Let y be 1 - -5 - -4*1/(-2). Suppose l - 5*l = y*f - 20836, 0 = -3*f. Is l prime?
True
Suppose -21 = -7*w + 4*w, -w = 3*m - 2752024. Is m composite?
True
Suppose 199*c - 6953414 + 20170382 = 223*c. Is c prime?
False
Let n(p) = 91*p**2 - 20*p - 265. Is n(-9) composite?
True
Let i be 36/4 + -6 + (-9)/(-3). Suppose 0 = 4*w - i*w + 16602. Suppose -w = d - 4*d. Is d prime?
True
Let l be (-2474)/(6 + -4 + -4). Let w = 124 + l. Is w a composite number?
False
Suppose 304*n - 16863 = 311*n. Suppose -4*p + 4*y - 4584 = 0, 5*y + 2148 + 172 = -2*p. Let c = p - n. Is c composite?
False
Suppose 0*r = -r - 5, -5*r + 115953 = 2*z. Suppose -70931 - z = -40*n. Is n prime?
False
Is (-21)/(-3)*-1 - (-16 + -73070) a prime number?
True
Suppose -2*i + 14 = 4*d + i, 6 = 2*d + i. Let u = 0 + 5. Suppose 5*p - 99 + 2069 = 5*w, -d*p = -u*w + 1961. Is w a composite number?
True
Let p(x) = -x**2 - 7*x + 8. Let l be p(-8). Suppose z - 890 = n, 10*n - 8*n + 2 = l. Is z prime?
False
Suppose -2*a = -3*r + 194369, 4*r - 82599 = -4*a + 176593. Is r a prime number?
True
Let k = -29 + 31. Suppose r = -2*u - 2, -6 = 5*u + k*r - 1. Is 629 + u + 23 + -20 prime?
True
Let j(c) = -97*c**3 + 68*c**2 + 48*c - 302. Is j(-25) a prime number?
True
Let w be (-21784)/(-40) - 6/10. Let x = w + -426. Is x a prime number?
False
Suppose -242888 - 416152 = -32*f. Suppose -16*a - f = -31*a. Is a a composite number?
False
Is ((1/12*3)/1)/((-464)/(-128830528)) prime?
False
Let p(o) = -o**3 - 9*o**2 - 15*o - 1. Let t be p(-7). Suppose 7*k = t*k + 5. Suppose -5*r + a = -6999, k*a + 2403 - 6580 = -3*r. Is r a composite number?
False
Suppose 4*m + 2*s - 88600 = 207988, 0 = -m - 3*s + 74137. Is m composite?
False
Let v(k) = -k**3 + 12*k**2 + 24*k + 51. Let f be v(14). Is 4081 + -3 - (3 - (-15)/f) composite?
True
Let u be 22/187 - 49/(-17). Suppose 0 = -2*d + 5*d - 5*h - 315, 409 = 4*d - u*h. Suppose -173 = -3*a + d. Is a prime?
False
Let q = 1087839 + -46286. Is q a composite number?
False
Let s(a) = -a**2 - 2*a + 12. Let z be s(-5). Let d be z/9 - (-1298)/6. Let v = d - 101. Is v composite?
True
Suppose 329*u - 323*u - 36 = 0. Let g(q) = 124*q + 9. Let k(x) = 248*x + 17. Let f(n) = -7*g(n) + 4*k(n). Is f(u) a composite number?
True
Is ((-6)/(-15) - (-12616014)/240) + 3/(-24) a prime number?
True
Is 21109955/41 - (-46)/943 composite?
True
Suppose -5*x - 12 = w, -5*x = -4*w + 2*w + 21. Let v be -1*(x/(-2))/(21/56). Is v*(-199)/3 + (-5)/15 prime?
False
Let t(x) = 381*x**2 - 22*x + 33. Is t(2) composite?
True
Suppose -3*l + 7211 = -10528. Suppose -5*g + k = -29565, -g = -0*g - k - l. Suppose g = 6*u - 2469. Is u prime?
False
Let i = -491 - -532. Suppose 12516 = 3*k - 3*n, i*k + 16683 = 45*k - 5*n. Is k a prime number?
True
Let c(j) = -8116*j + 2137. Is c(-16) a prime number?
False
Let i(b) = 12*b - 7. Let v be i(1). Suppose 0 = 2*q - 3*z - 14332, 6*q + v*z = q + 35830. Is q a prime number?
False
Let v(d) = 29*d - 143. Let w be v(5). Suppose 3*a + h - 128379 = 0, 128379 = 3*a - w*h - 2*h. Is a prime?
True
Suppose -3*g - 4*n + 251709 = 0, 2*n = -2*n. Is g prime?
True
Suppose -4*f - 2*u + 134 = 0, -3 = 3*f - 4*u - 87. Is (-211761)/(-12) + 8/f a prime number?
False
Suppose 41*j - 19526983 = -3*j - 35*j. Is j composite?
True
Suppose 32*s - 18*s = 341796 + 321398. Is s prime?
False
Let o = -31 + 33. Suppose x + x + 3*a - 1572 = 0, -o*x + a + 1564 = 0. Suppose -4*r + 3925 = -x. Is r composite?
True
Let u(n) = 2 + 218*n - 168*n - 4*n**3 - 15*n**2 + 13 - 2. Is u(-14) composite?
False
Is 225237*1*(-174)/(-522) a prime number?
True
Suppose -9*m + 6*m = v + 7720, -10 = -2*m. Let z = 1744 - v. Is z a composite number?
False
Let i(n) = -n**3 - 4*n**2 + 9*n - 35. Suppose -180 = 16*y - 4*y. Is i(y) composite?
True
Let v(u) = 5*u**3 - 7*u**3 - 9 + 3*u**3 - u**2 + 5*u. Suppose -13 = -2*z + 3*c - 1, 0 = c. Is v(z) prime?
False
Suppose -2*u = 5*z - 2653824, -2 = 86*z - 85*z. Is u prime?
True
Is (10 - 12) + 72934/4*48 + 1 a prime number?
False
Let f = -63 - -73. Is (40086 - -4)/5*5/f a prime number?
False
Let w(z) = 506*z + 100. Let u be w(10). Let i = u + -3503. Is i a composite number?
False
Suppose -8*l - 1895 + 775 = 0. Let n = l + 119. Is (-7)/n - 2588/(-3) composite?
False
Suppose 2*j - 172 = -74. Is j a composite number?
True
Suppose -37493277 - 11514578 = -65*o. Is o a composite number?
True
Suppose 3*m - 21 - 45 = 0. Suppose 2*r - 6 = -0, -5*v - r - m = 0. Is (-1)/v + (-1 - (-639)/5) prime?
True
Suppose 5 = -3*v + 5*u, -v = -u + 4 - 5. Suppose 221 - 4606 = -v*i. Is i composite?
False
Let o(j) = 96*j - 5. Let p(n) = 1 + 25 + 1 - 1 - 481*n. Let t(u) = -11*o(u) - 2*p(u). Is t(-5) a prime number?
False
Let c be 610*2*12/(-30)*5. Let j = 5829 + c. Is j a composite number?
False
Let r be (4 + 2)/2*352/(-3). Let y be 64/r - 55488/(-22). Let s = y - 563. Is s a prime number?
False
Suppose 5*t + 4*g = 8, 10 = -6*t + 10*t + 2*g. Suppose -2*u + 42 = u. Suppose -t*b = -u*b + 12110. Is b a composite number?
True
Let s(o) = o**3 - 19*o**2 + o - 18. Let d be s(19). Is (-3 + d/1)*1471/(-2) prime?
True
Suppose 0*w = 7*w. Suppose w = -3*t + 13*t - 19600. Suppose t = 7*j - 679. Is j prime?
False
Is (-30136824)/(-89) - 1*(-2 - -9) prime?
True
Suppose 0 = -29*r + 18*r. Suppose 10*x - 10162 - 2008 = r. Is x prime?
True
Let p(c) = -4*c + 41. Let s be p(9). Suppose -26 = -2*y - 4*o - 0*o, -26 = -2*y - s*o. Suppose -14*v = -y*v - 1255. Is v prime?
False
Let w be (-51 + 52)/(((-1)/2)/1). Is 27138 - 2 - (w + -1) prime?
False
Let i be ((42/7)/12)/(1/54). Let l(m) = m**3 - 24*m**2 - 13*m - 1. Is l(i) composite?
True
Let q(f) = 2*f**2 - 15*f + 9. Let z be q(7). Suppose -4*l + z*l + 5105 = -j, -4*j - 10212 = -4*l. Suppose l + 1663 = 5*i. Is i composite?
True
Let k = 97 + -70. Let z = k - 25. Is (1/z)/(1/4) + 1397 prime?
True
Suppose -494 = -16*z + 18*z. Let r = -60 - z. Is r a composite number?
True
Suppose -s + 5*i + 183513 = 0, s - 80*i - 183495 = -84*i. Is s a prime number?
True
Suppose -10 = 4*n - 6*n, -3*n + 1966044 = 3*y. Is y a composite number?
True
Suppose 32*i + 44511 = 4*q + 35*i, -i + 1 = 0. Is q prime?
False
Let y(i) = -13*i**2 - 4*i - 11. Let l(a) = -7*a**2 - 2*a - 6. Let v(f) = 5*l(f) - 3*y(f). Suppose h + 17*h = -126. Is v(h) prime?
False
Let g = -49741 + 87224. Is g prime?
True
Let p(m) be the third derivative of -28*m**4 - 79*m**3/6 - 115*m**2. Is p(-9) composite?
True
Let i(o) = -9 - 17 - 26*o + 17 - o**2. Let f be i(-25). Is (0 - f/4) + (-1102)/(-2) a prime number?
True
Suppose 15459211 + 32756234 - 14604839 = 86*n. Is n prime?
True
Suppose -4*w + 4*l + 23040 = 0, 3*l - 4850 = 2*w - 16367. Let g = -4002 + w. Is g prime?
False
Let v = 0 + -4. Let s(p) = 300*p**2 - 11*p + 3. Let o(y) = 4*y. Let w(d) = 4*o(d) + s(d). Is w(v) a prime numbe | {
"pile_set_name": "DM Mathematics"
} |
-1.16 (b) 0.2 (c) -2/15 (d) -3/2
d
What is the closest to 0.613 in 1/2, 5, 2/15?
1/2
What is the closest to -1/5 in 5, -0.4, 12, -5/7, -1?
-0.4
Which is the nearest to -1? (a) -0.725 (b) 4 (c) 1
a
Which is the closest to 2.7? (a) 0.05 (b) 4/7 (c) -1 (d) 5 (e) -5
b
Which is the closest to -2/13? (a) -2/17 (b) 4/5 (c) -146 (d) -0.05
a
What is the nearest to -2/9 in -2/7, 2/11, -21?
-2/7
Which is the closest to -0.079? (a) 2/17 (b) 2.5 (c) 5
a
What is the closest to 3 in 3/4, -1, -479, -0.7?
3/4
Which is the closest to 0.1? (a) 0.3 (b) -38 (c) 1/4 (d) -20 (e) -0.2
c
What is the nearest to 1 in 2.8, -0.4, -92, -18?
-0.4
Which is the nearest to 2/3? (a) -1 (b) 0.2 (c) 3470
b
What is the nearest to 2 in 70, 4, 24, 2/11?
2/11
Which is the closest to -0.1? (a) 7 (b) 3 (c) -6.8 (d) 0.4
d
What is the nearest to 1 in -5, -2, 1.3, 2?
1.3
Which is the closest to 0? (a) 5 (b) 2 (c) -10
b
What is the closest to 2/7 in 2/3, 16, 485/6, 0.5, -0.1?
0.5
What is the nearest to -25 in -5, -0.34, -25?
-25
What is the nearest to 13 in -1, -5/6, -0.034, -5, -2/7?
-0.034
What is the nearest to -17546 in -4, 2/7, 5/2?
-4
What is the closest to 1/2 in -583, 3/331, 2?
3/331
What is the closest to -1 in -4, 503, 3?
-4
Which is the closest to 1? (a) -1/12 (b) -0.1 (c) -0.3 (d) 0.14 (e) 9
d
What is the nearest to -0.0762 in 0.014, -0.1, 0, 2/5?
-0.1
What is the closest to 4/5 in 2, -336, -0.3?
-0.3
What is the nearest to 0.1 in -4, -2/9, 2.42222, -0.4?
-2/9
What is the nearest to 34 in -2/5, -0.19, -4, 0.08?
0.08
What is the nearest to 15 in -9, 156, -6?
-6
What is the closest to -16 in -1, -3, -4?
-4
Which is the nearest to -26? (a) 49 (b) 0.56 (c) 5
b
What is the closest to 217 in -0.2, 2.3, -1?
2.3
What is the nearest to -2 in 2/3, -1/5, -4, 60?
-1/5
What is the closest to -2 in 2/13, -0.5, 0.3, 0.01, -433?
-0.5
Which is the closest to -0.1? (a) -3/7 (b) -1/3 (c) 4 (d) 104
b
What is the nearest to -2.62 in -2/3, 1/14, -10/11?
-10/11
What is the nearest to 0.1 in -9.99, -2, -1/65, 0, 1?
0
Which is the nearest to -6/35? (a) -1 (b) -7 (c) -4
a
What is the closest to -4 in 1/2, 1/3, 0.655?
1/3
Which is the nearest to 1? (a) -0.3 (b) -5 (c) 1/232 (d) -2 (e) 0.1
e
What is the nearest to 42 in -0.06, -0.1, 7, -1/4?
7
What is the closest to 0.1 in 3, -1554, 3/2?
3/2
Which is the nearest to 0? (a) -1 (b) 0.1 (c) 0.6 (d) -15
b
What is the closest to -0.1 in 4/7, 1/16, 1?
1/16
What is the nearest to 0.1 in 2/7, -0.5, -3, -1/3, -1360?
2/7
Which is the nearest to -8/3? (a) -0.5 (b) -2/11 (c) -5.2 (d) -58
a
Which is the nearest to -5? (a) 0 (b) 0.27 (c) -0.243
c
What is the closest to 3 in 0.7, -0.4, 0.3, -19?
0.7
Which is the nearest to -22? (a) 1083/4 (b) -5 (c) -4
b
Which is the nearest to -0.1? (a) -0.3 (b) -0.22 (c) 2/3 (d) 45 (e) 5
b
Which is the closest to -2/13? (a) -2 (b) 3 (c) 85
a
What is the nearest to 2 in 51, -152/5, -1.2?
-1.2
What is the nearest to -0.1 in -66, -2/15, -1.3, -0.3, -5?
-2/15
What is the nearest to 1.091 in -5, 16, -4?
-4
Which is the nearest to 344? (a) 0.2 (b) 580 (c) 0.1
b
Which is the nearest to 6? (a) 1/559 (b) -4 (c) -0.1
a
Which is the nearest to -2/7? (a) 5 (b) 18 (c) -1 (d) 15
c
Which is the closest to -0.1? (a) 4 (b) 1/21 (c) -5 (d) 98 (e) 1/2
b
What is the nearest to -2/3 in 1/7, 0.1, -2/5, -18, 0.18?
-2/5
Which is the nearest to 1/2? (a) -0.06 (b) 30.7 (c) 2/7 (d) -9
c
What is the closest to -2 in -3, 3.32, -0.2?
-3
Which is the closest to 1/4? (a) -232 (b) 1410 (c) -4
c
Which is the nearest to 1? (a) -44 (b) -1.2 (c) -0.04 (d) -0.3
c
Which is the closest to -1? (a) 1497 (b) 0 (c) 0.1065
b
What is the closest to -4 in 52, -0.24, -0.4, 3?
-0.4
What is the closest to 3/4 in -2/7, 0.317, -9/7, -1?
0.317
Which is the closest to -3/2? (a) 0.4 (b) 6 (c) 449 (d) -3 (e) -5
d
What is the nearest to 587.3 in 4, 0, 8/13?
4
What is the nearest to 0.13 in -1/8, -5, -3, 91, -4?
-1/8
What is the closest to -0.1 in 0.06, -1, -1352?
0.06
What is the closest to -11 in 1/8, 4, 98, -0.01, -2?
-2
What is the nearest to 0.3 in -3907, -5, 1, 0.5?
0.5
Which is the nearest to 0? (a) 1/4 (b) 1/3 (c) -90 (d) -11 (e) 0.4
a
What is the closest to -4/11 in -28, -0.2, 10?
-0.2
Which is the nearest to 2? (a) 0 (b) 5 (c) 1 (d) -1/2 (e) -17
c
What is the closest to -1 in -427, -1/3, 3, -1?
-1
What is the nearest to 2/105 in 3/8, 0, 49, 3/4, -0.3?
0
Which is the closest to 3/31? (a) 0.7 (b) 4.14 (c) 1
a
What is the nearest to 0.1 in -4, 2, -5?
2
Which is the closest to -11? (a) -1/3 (b) -1/7 (c) -0.3 (d) 0.4 (e) -2/7
a
Which is the nearest to 1/19147? (a) -4 (b) -0.5 (c) 3 (d) -5 (e) 2/11
e
What is the nearest to -1 in -4, -0.4, -1/4, 6/25, 0?
-0.4
What is the nearest to -11 in 19/5, -1/2, 0.1, 3?
-1/2
Which is the closest to -2.1? (a) -0.4 (b) 0.1 (c) 1/3 (d) -2/175 (e) 5
a
Which is the closest to -1/2? (a) 0.2 (b) -0.12 (c) -2 (d) -4219
b
Which is the closest to -5/6? (a) 11/45 (b) 0 (c) -0.3 (d) -5
c
Which is the closest to 64? (a) -2 (b) -5 (c) 2/7 (d) -1/3
c
Which is the nearest to -1/78? (a) -3 (b) -0.5 (c) -0.14
c
What is the closest to -0.1 in 1, -4, 3, 0.71201?
0.71201
What is the closest to -1 in 0.01, -1/48, 14, 1.3?
-1/48
Which is the closest to -2? (a) -4/5 (b) 0.17 (c) -34
a
Which is the closest to 0.1? (a) -0.9 (b) 64 (c) -4 (d) 2
a
Which is the closest to -229? (a) -5 (b) 0.4 (c) 0.3 (d) -23
d
What is the closest to 13.4 in -1/4, 1/4, -467, 5?
5
What is the nearest to 1/2385 in -1/5, 0, 1?
0
Which is the nearest to 0.1? (a) 0.149 (b) -4 (c) 0 (d) 0.5
a
What is the nearest to 93 in 0.3, 2, 2/9, -4, -1/9?
2
What is the closest to -0.3 in -0.1, -4, 18349, 3?
-0.1
What is the closest to 1 in -456, 0.5, -0.4?
0.5
Which is the closest to 0.2? (a) 3 (b) -0.02 (c) -49
b
Which is the closest to 1/4? (a) 121/38 (b) -0.5 (c) -4
b
Which is the closest to 120? (a) 4 (b) -5 (c) 0.3 (d) 996
a
Which is the nearest to -15? (a) -6/5 (b) -1 (c) 2 (d) 4 (e) -1/3
a
What is the nearest to -8 in -3, -0.046, 0?
-3
What is the nearest to -0.1 in 185, 2/5, -4, 2/31?
2/31
What is the nearest to 1/3 in -51, 0.5, 3/31, -0.05?
0.5
Which is the nearest to 0.29? (a) 29 (b) 0.3 (c) 0 (d) 11 (e) 4/5
b
What is the closest to -2/11 in -19, -117/14, 2/7?
2/7
Which is the closest to -5? (a) -2/7 (b) -4 (c) -176/5
b
What is the nearest to -32 in 3/4, -111, -3/4?
-3/4
What is the closest to 6/11 in -1/3, 0.04, 4, 1/3?
1/3
What is the closest to 0 in 44, 581, -5/2?
-5/2
Which is the nearest to -5? (a) 33.1 (b) 2 (c) 3/2 (d) -1 (e) 0.1
d
Which is the closest to 1/2? (a) 0 (b) -6.95 (c) -0.4 (d) -1/6
a
What is the closest to -6 in -4, 0.65, 0.018, -2/13?
-4
What is the nearest to 15/4 in 1/2, 0.4, 13, -2, 2/9?
1/2
What is the closest to 0.05 in 421.3, 5, -1/9?
-1/9
Which is the nearest to 2/3? (a) -1.3 (b) 0.4 (c) -2 (d) -7
b
Which is the closest to 0? (a) -0.4 (b) 0 (c) -95 (d) -0.59 (e) -1
b
What is the closest to -1/4 in -2/7, 5, -3.3, 7/106?
-2/7
What is the nearest to 1 in 0.103, 4, -9/2, 0.3?
0.3
What is the closest to 4.7 in -0.5, 4, 4/3, 1/2?
4
Which is the closest to 1.36? (a) 11 (b) 0 (c) -28
b
What is the nearest to 3 in -1043, -38, -3?
-3
What is the closest to 149 in -0.2, -3/7, 0.5, -2/17, -4/5?
0.5
Which is the closest to -794? (a) -4 (b) 1/2 (c) -2 (d) -1
a
What is the closest to -0.3 in -2, 3, 1/4, 995?
1/4
What is the nearest to 2/7 in -2, -0.1, -2/9, 954/13, -4/5?
-0.1
What is the closest to 328 in 4/3, 0, 0.08, -3/19?
4/3
What is the closest to -34 in 2/9, -0.1, 1.316?
-0.1
What is the nearest to 1/4 in -5, -1, -4/3, -7/212?
-7/212
Which is the nearest to 87? (a) -27.9 (b) 2/7 (c) -15 (d) 1/5
b
Which is the closest to 3? (a) 1/3 (b) 22 (c) -0.264 (d) -0.5
a
What is the nearest to 1 in 3, 1, -8, -0.519?
1
Which is the nearest to -0.01706? (a) 9 (b) 0.5 (c) 5/6 (d) 1
b
Which is the closest to -21374? (a) 4 (b) -3 (c) -4 (d) 0
c
What is the closest to 30/7 in 0.5, -2, 103?
0.5
What is the nearest to -1/6 in -3, 2/385, -3/4, -5?
2/385
What is the nearest to -5/64 in -5, 2, 5?
2
Which is the closest to 0.1? (a) -156 (b) 88 (c) -1/4 (d) 0.2 (e) -5/2
d
Whi | {
"pile_set_name": "DM Mathematics"
} |
70. Let d be 1 - (-95 - 0) - 1. Let s = d - h. What is the units digit of s?
5
Let r be 2993/7 - 33/(-77). Let i = -176 + r. What is the units digit of i?
2
Let w(k) = k**2 - 7*k + 15. Let b be w(5). Suppose -1205 + 255 = -b*a. What is the units digit of a?
0
Let y(u) = -10*u**2 + u - 13. Let n be y(-4). Let v = 349 + n. Suppose -2*z = -46 - v. What is the units digit of z?
9
Let j(m) = -74*m**3 + m**2 + 2*m + 2. Let l be j(-2). Suppose -26*f - 770 = -2*x - 22*f, 0 = -2*x - 4*f + 722. Let w = l - x. What is the units digit of w?
1
Let o(t) = -3*t**2 + 2*t + 1362. Let w be o(0). Let m = w + -931. What is the tens digit of m?
3
Let g(c) = 10*c**2 + 8 - 8 - 6 - 4*c**3 + 3*c**3 + 18*c. What is the units digit of g(10)?
4
Let c(l) = -9*l**3 - 7*l**2 - 13*l - 7. Let j be c(-5). Let v = j + -541. What is the tens digit of v?
6
Let y be (4 - (-84)/(-2))/(6/(-3)). Let x be (1 + (2 - 2))/(1/y). What is the tens digit of x + -5 + 1 + 1?
1
Suppose 17*j + 129*j = 4195164. What is the units digit of j?
4
Suppose 5*z = -5*c + 35280, -3*c - 2*c + 28229 = 4*z. What is the hundreds digit of z?
0
Suppose -19 = -p - 3. Let m = p - 9. Let j(r) = 13*r + 23. What is the hundreds digit of j(m)?
1
Suppose -61 = -m + 4*q, -6*q + 205 = 5*m - q. Suppose 2*n = -3*h + 1059, -3*h + 50*n = m*n - 1038. What is the hundreds digit of h?
3
Let m(r) = -r**3 + 6*r**2 + 4*r + 9. Let k be m(7). Let u = k - -11. What is the tens digit of 6/(-10) + u*398/(-5)?
7
Suppose 0 = -5*q - 0*q + 55. Let s = 19877 + -19439. Suppose -q*w = -9*w - s. What is the units digit of w?
9
Suppose -50*i + 69112 + 18538 = 0. What is the units digit of i?
3
Let l be (-3)/(-9) + 1/(-3). Let z be (l - (0 + 3)/3) + -19. What is the units digit of 6/(-5) + 1 - 2384/z?
9
Let g be (4/12)/(-3 + 82/27). Let o be (-6)/g + 608/(-6). What is the units digit of (1 + -10)*(-7)/((-63)/o)?
2
Suppose 0 = -4*f - 3*r + 1040, -5*f + 3*r = -r - 1300. Let u = 211 + f. What is the hundreds digit of u?
4
Let l(g) be the second derivative of -g**4/12 + 7*g**3/3 - 27*g**2/2 - 25*g. Let u be l(11). What is the tens digit of (33/(-22))/(u/(-140))?
3
Let o(q) be the second derivative of q**4/2 + 37*q**3/6 + 33*q**2/2 - q - 1. What is the hundreds digit of o(-10)?
2
What is the hundreds digit of (2675 - 5)*1/2?
3
Let x = 35 + -36. What is the units digit of ((-279)/3 - 0/(-10))*x?
3
Suppose -3*j - 40*b + 42*b = -9634, -4*b = 3*j - 9640. What is the thousands digit of j?
3
Let p(l) be the first derivative of 3*l**2/2 + 13*l - 16. Let h be p(-3). Suppose h*v + 5*m - 366 - 39 = 0, -v + 4*m = -96. What is the units digit of v?
0
Let w = -8 + 10. Let g be (w + -1)*-1*1 + 187. Suppose 0 = 5*t - 24 - g. What is the units digit of t?
2
Suppose 0 = -3*g + 7 - 10. Let w be (5 - (-3)/g) + -100. Let f = w - -143. What is the units digit of f?
5
Let m = 234 + -230. Suppose 5*y - 3*y + 2*x - 602 = 0, 606 = 2*y + m*x. What is the tens digit of y?
9
Let z = 8351 - 1933. What is the tens digit of z?
1
Suppose 1446128 = 610*z - 476*z. What is the ten thousands digit of z?
1
Let m(f) = -f**2 - 16*f - 13. Let i be m(-15). Suppose -4*o - i*p + 864 = 0, 0*p - 4*p = 2*o - 432. What is the hundreds digit of o?
2
Suppose 2*x - 3*u - 26 = 0, 2*x - 5*x = 3*u - 24. Suppose x = -5*v, 0 = -3*d + 5*v - 36 + 646. What is the hundreds digit of d?
2
Let w be (-8)/20*-15 + 2284. Suppose -5*d + w = -m - 2*m, 0 = 5*d - 5*m - 2280. What is the tens digit of d?
6
Let f = 3972 - -1874. What is the hundreds digit of f?
8
Suppose -5*o + 31 = 4*b - 25, b - 29 = -5*o. Let y be (6/b)/((-8)/1164). Let r = -20 - y. What is the tens digit of r?
7
Let w = 168 - 163. What is the units digit of ((-1838)/(-10) - -7)*w?
4
Suppose -17*a + 7*a = -100. Suppose 0 = -a*l - 0*l + 30. Suppose -l*b - 274 = -v, 0 = 2*b + 2 - 12. What is the hundreds digit of v?
2
Let u = 32881 - 12533. What is the tens digit of u?
4
Suppose 256*h + 40800 = 262*h. What is the units digit of h?
0
Suppose -a - 19594 = -3*m, -m + 6532 = 11*a - 12*a. What is the units digit of m?
1
Suppose 0 = -5*h + 9*h + 3*o - 47414, 0 = 2*o - 4. What is the hundreds digit of h?
8
Let c = -3 + 5. Let r(a) = 8*a**2 - 419*a + 159. Let o be r(52). Suppose 9 = 3*p + o, 0 = -q + c*p + 42. What is the tens digit of q?
4
Let q = 166 - 162. Suppose -5*v + 607 = -3*f + 1899, -q*f = -2*v - 1718. What is the hundreds digit of f?
4
Let h be (-11)/(330/(-36))*20 + -3. What is the hundreds digit of (-3)/(-9) - (-10073)/h?
4
What is the tens digit of (0 - -2)*(-17)/((-136)/62844)?
1
Suppose 93*y - 90*y = -54. What is the units digit of (2 + y/4)*(-28)/35?
2
What is the thousands digit of -1*(20/((-20)/3))/((-9)/(-186033))?
2
Let a be (-2 + 1)/(11/(-2233)). Let j = a + 38. What is the units digit of j?
1
Suppose 220*t = 119*t - 162*t + 4458639. What is the thousands digit of t?
6
Let x(c) = c**2 - 20*c - 19. Suppose -7*d + 105 = -2*d. Let p be x(d). Suppose p*n - 44 = -3*g + 7*n, -12 = 3*n. What is the units digit of g?
8
Suppose -4*d + 423 = -2*o - 3*d, 0 = -2*d + 6. Let s = o + 134. What is the tens digit of (1/(-2))/(1/s)?
3
Let j = -1 - -3. Suppose -38520 = -68*c - 4*c. Suppose -4*l + 5*v = -c, -420 - 270 = -5*l + j*v. What is the hundreds digit of l?
1
Suppose -5 = -2*h + t, -2*h + 4*t - 9 = -5. Suppose 376 + 742 = h*j + 2*g, 0 = 4*j + g - 1117. What is the tens digit of j?
7
Suppose 0*z - 348 = -4*v + 4*z, 5*v = 2*z + 441. Suppose 3*q + 9 = 5*p - 1, 0 = -5*q + 25. Suppose -v = -p*g + 46. What is the units digit of g?
7
Let c(t) = t + 5. Let a be c(-2). Let z be 4/(-10) - (96/(-5))/a. Let r = 88 - z. What is the tens digit of r?
8
Let b = 790 - 788. Let n be -259*(-2 - (-4)/4). Suppose -351 = -3*a + 3*w, -b*a + 2*w = 5*w - n. What is the units digit of a?
2
Let m = -61994 - -91891. What is the tens digit of m?
9
Let o = -42325 + 65087. What is the thousands digit of o?
2
Suppose 82946 = 4*o + 2*p, 0*o + 4*p + 20732 = o. What is the ten thousands digit of o?
2
Let d be (36/20 + 1)/((-6)/(-75)). Suppose 2*w = 855 + d. What is the hundreds digit of w?
4
Let i = -45 + 40. Let d be 0 - (1 + 2 + i). Suppose 0 = -d*y - 3*y + 1185. What is the tens digit of y?
3
Suppose 0 = -2*z - 14 + 36. Let x = z - -97. What is the units digit of x?
8
Let r be (33/6)/(1/832*-2). What is the tens digit of 56/72 - 1 - r/9?
5
Let i(c) = 610*c**2 + 194*c + 21. What is the ten thousands digit of i(-6)?
2
Let n(i) = i**3 + 5*i**2 + 3*i - 1. Let k be n(-3). Let x(y) = -k*y - 4 + 3*y + 3*y - 17. What is the units digit of x(-14)?
7
What is the tens digit of -6 + 57657/12 - (-8)/32?
9
Suppose 6638 = 2*r + 2*j, -2*j - 7286 = -5*r + 9281. What is the units digit of r?
5
Let q(w) be the third derivative of -17*w**4/6 - 23*w**3/2 - 123*w**2 + 2*w. What is the tens digit of q(-6)?
3
Let p(i) = -53*i**2 - 13*i + 42. Let m(b) = b**2 - b + 2. Let t(g) = 2*m(g) - p(g). What is the hundreds digit of t(3)?
4
Let k = -16181 + 66580. What is the thousands digit of k?
0
Let h = 4767 - 1824. Suppose -15*g + 9657 + h = 0. What is the units digit of g?
0
What is the hundreds digit of (32614/3)/((-104)/(-156))?
3
Let l = -225 + 228. Suppose -2*o + 7*o = x - 404, l*x + 3*o - 1194 = 0. What is the hundreds digit of x?
3
Suppose -s + 5918 = 22*z - 21*z, 2*z - 5*s - 11815 = 0. What is the hundreds digit of z?
9
Let u = 22279 + -14424. What is the hundreds digit of u?
8
What is the thousands digit of (3971/418 - 9*1)/(1/46232)?
3
Let k(q) be the first derivative of -2*q**3/3 - 35*q**2 - 43*q - 71. What is the units digit of k(-22)?
9
Let r = 45 + -43. Suppose -4*s - 18 = -r, -5*s - 14 = 2*m. Suppose -m = -3*h, 2*f + 4*h - 32 = f. What is the units digit of f?
8
Suppose 68*k + 1161992 = 107*k + 65*k. What is the units digit of k?
3
Suppose -2*s = 4*k - 8, 4*k + 3 = 4*s + 11. Suppose s = -14*x - 644 + 1708. What is the tens digit of x?
7
Let d(r) = -r**3 + 4*r**2 + 5*r - 18. Let b be d(4). Suppose -j + 887 = k - 5*j, 0 = -b*k + 4*j + 1786. What is the hundreds digit of k?
8
Let p(i) = 16*i + 10. Let w be p(-4). Let s(f) = 35*f**2 - 2*f. Let n be s(-2). Let x = n + w. What is the tens digit of x?
9
Let w(s) be the third derivative of s**5/20 + 3*s**4/2 + s**3/2 + 3*s**2 + 17*s. What is the tens digit of w(7)?
0
Let c be -489*(-3)/63 + (-12)/42. Suppose 1711 = c*s + 446. What is the units digit | {
"pile_set_name": "DM Mathematics"
} |
o - 4
Find the first derivative of -1368 + 0*p + 2*p - 2*p - 1740*p**2 - 54*p**2 wrt p.
-3588*p
Let g(r) = 28 - 2*r**2 + 3*r**3 - 26 + 183 + 3*r**3 + 22*r. Let j(z) = -2*z**3 + z**2 - 8*z - 62. Let h(t) = -4*g(t) - 11*j(t). Differentiate h(a) wrt a.
-6*a**2 - 6*a
Let x = -58 - -50. Let o(t) = t**2 - 46*t - 47. Let c(m) = -2*m**2 + 137*m + 142. Let i(s) = x*o(s) - 3*c(s). Differentiate i(d) wrt d.
-4*d - 43
Differentiate -f**2 - 319 + 443*f - 121 + 154 with respect to f.
-2*f + 443
Suppose -7*i = -0*i - 12*i. Suppose -b - 2*o + 22 = 3*o, -5*b + 3*o - 2 = i. Find the first derivative of -2*k**b - 4 + 2*k**2 - 5*k**3 - 2 wrt k.
-15*k**2
Suppose 6 = -31*w + 130. Differentiate 0 - 2*n - 7*n**w + n + 151 + 0*n wrt n.
-28*n**3 - 1
Suppose -270 = -64*g - 78. Let c be (-1 + -1 + 5)*3. What is the second derivative of 17*t - c*t - g*t**3 + 9*t + 24*t**3 wrt t?
126*t
Let u(z) be the first derivative of 9*z**3 - 15*z**3 + 5*z**3 - 47*z - 45 - 33*z**2 + 27*z**2. Differentiate u(a) with respect to a.
-6*a - 12
Let d(u) be the second derivative of -29*u**6/30 + 7*u**3/6 + 1043*u**2/2 - 984*u. Differentiate d(k) with respect to k.
-116*k**3 + 7
Let y(h) = -6*h + 6. Let w be y(-2). Suppose t = 4*v + 14 + 10, 2*t - 2*v - w = 0. Find the third derivative of 2 + f**2 - 18*f**2 + 5*f**t - 2 wrt f.
120*f
Let t(g) = 26*g**2 + 29*g + 2617. Let c(f) = 13*f**2 + 12*f + 1308. Let r(b) = -5*c(b) + 2*t(b). Differentiate r(x) with respect to x.
-26*x - 2
Find the second derivative of -374 + 745 + 1577*z + 3*z**2 - 370 + 131*z**3 + z**2 wrt z.
786*z + 8
Suppose 5*v = -2*y + 6, y + v - 3*v - 3 = 0. Find the third derivative of 142*m**y + 7*m**2 + 10 - 11*m**2 - 31 + 7*m**2 wrt m.
852
Suppose 0 = 5*j + 3*g - 25, -2*g = 5*j - 2*j - 15. Let w be (6 - (-18)/(-6)) + 24/2. What is the second derivative of 2*p - w*p**j + p - 4*p wrt p?
-300*p**3
Let c = 51 - 7. Let w = -40 + c. Differentiate -14 + 7 - w*q - 10*q with respect to q.
-14
Suppose -6*j + 4*j + 3149 = -5*l, j - 1552 = -2*l. Suppose 30 = 3*x - 4*m, 36*x - 27 = 31*x - m. What is the first derivative of j*q - 1523*q - x + 1 wrt q?
39
Find the third derivative of 40*j**5 - 6*j**3 + 2*j**4 + 11*j**3 - 2*j**2 - 3559 - 6*j**3 wrt j.
2400*j**2 + 48*j - 6
Let w = 1910 - 1225. What is the first derivative of 38*r**2 + 663 + w - 1441 + 73*r**2 wrt r?
222*r
Let b(g) be the first derivative of 0*g - 15/2*g**4 + 0*g**2 - 2 - 34/3*g**3. What is the third derivative of b(d) wrt d?
-180
Let h(n) be the third derivative of -23*n**8/840 - n**4/6 - 41*n**3/6 - 5*n**2 - 3. Let p(f) be the first derivative of h(f). Differentiate p(o) wrt o.
-184*o**3
Suppose -3*h = 5*h - 16. Let y(a) = a**3 - 2*a**2 + 2*a - 2. Let g be y(h). Find the third derivative of -3*w**g + 4*w**2 - 2 - 5*w**3 + 2 wrt w.
-30
Let w = -52 - -57. Let h(x) = 2*x - 9. Let m be h(6). What is the second derivative of -3 + m - 9*p + p - w*p**2 wrt p?
-10
What is the third derivative of -479*q**2 + 215976*q**3 - 215976*q**3 + 145*q**4 + 1 - 1 wrt q?
3480*q
Let d(g) be the second derivative of 1 + 0*g**6 + 1/6*g**3 + g**2 + 139/42*g**7 + 0*g**5 + 0*g**4 + 11*g. What is the second derivative of d(t) wrt t?
2780*t**3
Let h be (-20)/70 - 5/((-70)/354). What is the derivative of -5*x + h*x + 49 - 3*x - 9*x wrt x?
8
Let f be 18733/4290 + (-3)/(-10). Let j(d) be the second derivative of -19/12*d**4 + 0*d**2 + 0 + f*d**3 - 40*d. Find the second derivative of j(v) wrt v.
-38
Let o(m) be the second derivative of -2137*m**5/20 + m**4/12 - 617*m**3/6 - 1203*m - 1. What is the second derivative of o(n) wrt n?
-12822*n + 2
Let l(z) = -z**3 - z**2 + 4*z. Let f(y) = 767*y**3 + 6*y**2 - 24*y + 1694. Let x(h) = -f(h) - 6*l(h). Find the first derivative of x(r) wrt r.
-2283*r**2
Suppose -4*h - 5*d + 13 = -4*d, -d = -h + 7. Find the second derivative of -37 - h*o**3 - 23*o + 41*o - 33*o**2 + 37 + 72*o wrt o.
-24*o - 66
Let m(g) be the first derivative of -491*g**3 - 28*g**2 - 16*g - 3084. What is the second derivative of m(r) wrt r?
-2946
Let a(l) be the first derivative of -763*l**5/5 - l**3/3 + 185*l**2/2 - 299. What is the third derivative of a(v) wrt v?
-18312*v
Let o = -152/5 - -947/30. Let h(n) be the second derivative of 0*n**4 + 0*n**2 + 0 - 15*n + o*n**3 + 3/4*n**5. Find the second derivative of h(g) wrt g.
90*g
What is the derivative of 207*x - 63*x**3 - 415*x + 648 + 204*x - 16*x**3 wrt x?
-237*x**2 - 4
Let c(o) be the third derivative of -317*o**5/30 - o**4/24 - 77*o**3/2 - 11*o**2 - 53*o. What is the second derivative of c(l) wrt l?
-1268
Suppose -3*q + 4*r = -19, -q - 2*r + 13 = -0*q. Suppose 2*b + b = q. Find the third derivative of b*x**2 + 0*x**2 - 5*x**3 + 4*x**2 wrt x.
-30
Let g(t) be the first derivative of 320*t**5 - 86*t**3 - 5*t**2/2 - 425. What is the third derivative of g(u) wrt u?
38400*u
Let u(w) be the third derivative of -827*w**5/30 + 103*w**4/24 + 11*w**3/6 - 123*w**2. Find the second derivative of u(l) wrt l.
-3308
Let r(p) = -2*p**2 - 12*p - 1. Let a be r(-6). Let l be (-2 - a) + 0 + 4. What is the third derivative of u**3 - 21*u**3 + 2*u**3 - 27*u**2 - 10*u**l wrt u?
-168
Let v = 5/152 + 89/760. Let j(z) be the second derivative of 0*z**2 + 0*z**3 + 9*z - 1/12*z**4 - v*z**5 + 0. Find the third derivative of j(q) wrt q.
-18
What is the second derivative of 1960*x + 10*x**3 - 3 + 37*x**3 + 6*x**3 + 58*x**3 - 1864*x wrt x?
666*x
Let j be 4/(-5)*(-1445)/34. Let o = -15 + j. Find the second derivative of 40*l - 41*l - 3*l**3 - o*l wrt l.
-18*l
Let c(q) be the second derivative of -509*q**4/6 + 1501*q**2/2 - 2122*q. What is the derivative of c(h) wrt h?
-2036*h
Find the second derivative of 1312*b**4 + 45*b + 2836*b**4 + 5 - 11*b**4 - 969*b**4 wrt b.
38016*b**2
Suppose -5*c - 23 + 118 = -4*f, -3*f + 3*c = 75. Let y = 41 + f. What is the derivative of y*r**2 - 2*r**2 - 2 + 8*r**2 wrt r?
34*r
Let k(w) = 2*w**4 - w**3 - 4*w**2 - w + 1. Let z(n) = 7*n**4 + 5*n**3 + 19*n**2 - 51*n - 6. Let j(u) = -5*k(u) - z(u). Find the third derivative of j(a) wrt a.
-408*a
Let q(m) = -3015*m**2 - 13*m - 316. Let d(l) = -3014*l**2 - 18*l - 318. Let h(j) = 2*d(j) - 3*q(j). What is the second derivative of h(r) wrt r?
6034
What is the derivative of 5*l**2 - 149*l**2 - 7060 + 14*l**2 + 41*l**2 - 2417 wrt l?
-178*l
Let f = -88 - -92. Find the second derivative of j**2 + 14*j**f - 78*j - 12*j**4 - 17*j**4 - 24*j**4 wrt j.
-468*j**2 + 2
Let i(d) = 1743*d**4 + 21*d**2 + 615. Let s(r) = -3*r**4 + r**2 + 1. Let g(w) = i(w) - 21*s(w). What is the derivative of g(h) wrt h?
7224*h**3
Let g(k) = 4*k + 38. Let c be g(-9). Differentiate -74 + 211 - 7*t - 83 + 2*t**c wrt t.
4*t - 7
What is the second derivative of 4*k**2 + 179 + 216*k - 4*k**2 - 45*k**5 - 225 - 171*k - 14*k**4 wrt k?
-900*k**3 - 168*k**2
Let o(x) be the third derivative of 0*x**6 + 0*x + 1/12*x**4 + 11/6*x**3 - 2*x**2 - 1/21*x**7 + 0 + 0*x**5. What is the second derivative of o(l) wrt l?
-120*l**2
Let k(a) = 26*a + 285. Let l be k(-7). What is the third derivative of l*z**3 + 1160*z**2 - 2255*z**2 + z + 1155*z**2 wrt z?
618
Find the third derivative of 618*h**2 + 613*h**2 - 340*h**3 - 3*h - 1888*h**2 - 7*h + 617*h**2 wrt h.
-2040
Suppose 12 + 24 = 9*p. Find the second derivative of -36*f + 142*f**p - 49*f + 167*f + 189*f wrt f.
1704*f**2
Let c(m) be the second derivative of 1159*m**8/56 - m**4/12 + 55*m**3/6 + 5*m**2/2 + 13*m - 22. Find the third derivative of c(p) wrt p.
139080*p**3
Suppose -n + h = 2*h + 14, -5*n - 56 = -2*h. Let z = 17 + n. Find the second derivative of -22*f + f**3 + 9*f - f**3 + f**z wrt f.
20*f**3
What is the first derivative of 3*i - i**3 - 808*i**2 - 3*i + 1023 - 104 + 779 wrt i?
-3*i**2 - 1616*i
Let y = 47 + -32. Find the first derivative of -108*f**2 - y + 25*f**2 - 15 wrt f.
-166*f
Let i(j) = -j**3 - j**2 + j + 2. Let m be i(0). Differentiate 158*h**2 - h - 43 - 80*h**2 - 79*h**m wrt h.
-2*h - 1
Let r be 4/(-6) - (-1046)/3. Suppose 10*v + 68 - r = 0. What is the third derivative of -42*p**2 + 49*p**2 - 55*p**2 - v*p**4 wrt p?
-672*p
Let z(v) be the third derivative of 164*v**5/5 - 13*v**4/24 + 13*v**3 - 1051*v**2. Find the second derivative of z(a) wrt a.
3936
Let t = -286 + 471. What is the second derivative of 104*f - 28*f + 132*f - t*f**2 + 49*f wrt f?
-370
Let j(g) be the third derivative of g**9/42 + 8 | {
"pile_set_name": "DM Mathematics"
} |
rmine p so that -n*p**3 + 0 - 11*p + 35/2*p**2 = 0.
0, 2/3, 11
Let t(p) be the second derivative of p**5/60 + p**4/24 - p**3 + 5*p**2 - 25*p. Let d(m) be the first derivative of t(m). Factor d(o).
(o - 2)*(o + 3)
Let h = 201683/80 - 2521. Let o(b) be the second derivative of -3/2*b**2 - 2*b - 1/8*b**4 - h*b**5 + 7/8*b**3 + 0. Factor o(d).
-3*(d - 1)**2*(d + 4)/4
Determine x so that 42/11*x + 40/11 + 2/11*x**2 = 0.
-20, -1
Let c = 140 - 127. Let v be c/6 + (-68)/34. Factor v*j**2 + 1/3*j + 1/6.
(j + 1)**2/6
Suppose -18 = -9*z + 27. Suppose -m = 2 - z. Factor -4/7 + 8/7*l**2 + 0*l + 0*l**m - 4/7*l**4.
-4*(l - 1)**2*(l + 1)**2/7
Suppose -116 = -5*u + 244. Let o be (-13)/((-1365)/u) - (-2)/(-7). Factor 2/5*q**3 + 0 + o*q**2 + 0*q - 2*q**4 + 6/5*q**5.
2*q**2*(q - 1)**2*(3*q + 1)/5
Suppose -311 = 13*g - 350. Solve 0 - 4*m - 14/3*m**2 + 12*m**g - 10/3*m**4 = 0 for m.
-2/5, 0, 1, 3
Find a, given that 0*a + 48/7*a**2 + 0 - 3/7*a**5 + 0*a**4 + 36/7*a**3 = 0.
-2, 0, 4
Let o(h) be the second derivative of 1/15*h**6 - 3/4*h**3 + 5/4*h**4 - 6*h + 0 + 23/40*h**5 + 0*h**2. Let o(r) = 0. Calculate r.
-3, 0, 1/4
Let q be -17*(-437)/17595 - (2 - 48/27). Factor 1/5*r**2 + 3/5*r - 3/5*r**3 + q*r**4 - 2/5.
(r - 2)*(r - 1)**2*(r + 1)/5
Let d = 52707/5 - 10540. Determine f so that 2/5*f + 0 + 9/5*f**3 + 1/5*f**5 + f**4 + d*f**2 = 0.
-2, -1, 0
Factor 0 - 1/9*p**3 + 5/9*p**2 + 14/9*p.
-p*(p - 7)*(p + 2)/9
Let v = 1612 - 14506/9. Determine l, given that -2/3*l**3 + 2/9 - v*l**2 + 2/3*l = 0.
-1, -1/3, 1
Suppose -13 = 4*c + q, 18 = -2*c - 2*c - 2*q. Let n be c/8 + (-57)/(-12). Determine a so that 0 + 3*a**2 - n*a**3 - 1/2*a = 0.
0, 1/3
Let i(k) = k**4 + 2*k**3 + k**2 - k. Let f(d) = -6*d**4 - 19*d**3 - 18*d**2 + 50*d + 50. Let o(q) = f(q) + 5*i(q). What is a in o(a) = 0?
-5, -1, 2
Let p(c) be the third derivative of -c**6/60 + 3*c**5/10 + 4*c**4 + 52*c**3/3 - 30*c**2 + 2*c. Let p(q) = 0. What is q?
-2, 13
Let s(w) be the first derivative of w**3 + 33*w**2/2 + 90*w - 297. Let s(f) = 0. What is f?
-6, -5
Let z(m) = -3*m**2 + 9*m + 122. Let t be z(8). What is v in -2/5*v**3 - 6/5*v + 8/5*v**t + 0 = 0?
0, 1, 3
Let d = 32 - 4. Factor -16 - 29*h - d*h**2 - 16*h - 47*h - 8.
-4*(h + 3)*(7*h + 2)
Let h(a) = -7*a**2 - 427*a - 417. Let d be h(-60). Factor -6*f**d + 3/4*f**4 + 27/4 + 33/2*f**2 - 18*f.
3*(f - 3)**2*(f - 1)**2/4
Suppose 6*m + 3 = 3*m, -5*t + 18 = 2*m. Let z(j) be the first derivative of 16/3*j**3 - 2 - j**t + 0*j - 8*j**2. Find b such that z(b) = 0.
0, 2
Suppose 13*r - 20 = 8*r. Factor -20*d**r + 7*d + 50*d**3 + 13*d - 10*d**3 - 36*d**2 - 4 - 4*d**2 + 4*d**5.
4*(d - 1)**5
Suppose -8 = 4*x - 5*c, 32 = 5*x + 5*c - 3. Factor -x*q**2 - 27*q + 27*q.
-3*q**2
Let v(m) be the third derivative of 1/320*m**6 - 3*m**2 - 1/48*m**4 + 1/120*m**5 + 0*m + 10 - 1/420*m**7 + 1/2688*m**8 + 0*m**3. Factor v(i).
i*(i - 2)**2*(i - 1)*(i + 1)/8
Let v be 2/10 + (-7)/((-210)/(-2976)). Let q = -296/3 - v. Factor 2*s**2 + 4/3*s + 4/3*s**3 + q*s**4 + 1/3.
(s + 1)**4/3
Let t(z) be the first derivative of z**6/33 + 14*z**5/55 + 15*z**4/22 + 26*z**3/33 + 4*z**2/11 - 699. What is c in t(c) = 0?
-4, -1, 0
Solve -2/5*y**3 + 14/5*y + 392/5 - 4*y**2 = 0 for y.
-7, 4
Suppose -29*b + 32*b - 225 = 0. What is w in w**2 + 4*w**2 + 30*w - 12*w**2 - b + 4*w**2 = 0?
5
Let d(h) be the first derivative of h**4/20 + 2*h**3/15 + h**2/10 - 10. Factor d(k).
k*(k + 1)**2/5
Suppose -4*v + 3*p + p - 1240 = 0, 0 = 3*v - 2*p + 929. Let t be (-21)/(-49) + v/(-63). Let t*h + 4/3*h**2 - 4/3*h**3 - 16/3 = 0. What is h?
-2, 1, 2
Let w(v) be the second derivative of -37*v + 11/5*v**5 + 8/21*v**7 + 0*v**2 + 0 + 2/3*v**4 + 26/15*v**6 + 0*v**3. Let w(y) = 0. What is y?
-2, -1, -1/4, 0
Let k(y) be the second derivative of 289*y**6/210 - 17*y**5/35 + y**4/21 - 27*y + 5. Determine n, given that k(n) = 0.
0, 2/17
Let c(b) = 2*b - 6. Let h be c(3). Suppose 4*m + 5*t - 11 = 0, 0 = 4*m + 3*t - 13 - h. Factor -4/7*u**3 + 16/7*u**2 + 4/7 + 2/7*u**5 - 2*u - 4/7*u**m.
2*(u - 1)**4*(u + 2)/7
Let t(g) be the second derivative of g**6/15 + 2*g**5/5 - 5*g**4/6 + 333*g. Factor t(x).
2*x**2*(x - 1)*(x + 5)
Let j(b) be the third derivative of -2/3*b**4 + 1/15*b**6 + 2/105*b**7 - 11*b**2 + 8/3*b**3 + 0*b - 1/5*b**5 + 0. Factor j(d).
4*(d - 1)**2*(d + 2)**2
Let x(q) be the third derivative of -1/15*q**5 + 0 - 98/3*q**3 - 3*q**2 + 7/3*q**4 + 0*q. Determine s so that x(s) = 0.
7
Let b(k) be the first derivative of 1/2*k**2 + 1/16*k**4 + 0*k - 24 - 5/12*k**3. Factor b(o).
o*(o - 4)*(o - 1)/4
Let q be 3/((-3)/7)*(-12)/21. Solve 0*d**q - 13*d**3 - 3*d**3 - 12*d**2 + 80*d + 9 - 59 - 2*d**4 = 0.
-5, 1
Let r = -250420/7 + 35776. Suppose -8/7*g**3 + r*g**2 - 8/7*g + 2/7 + 2/7*g**4 = 0. Calculate g.
1
Let b be (-57)/(-15) + 24/(-30). Let d be (-2 - 0)/((-4)/3). Let b*y - 3/2*y**2 - d = 0. Calculate y.
1
Let i = -1234/1555 + -2/311. Let k = i - -6/5. Factor -2/5*g**2 - k*g + 2/5*g**4 + 0 + 2/5*g**3.
2*g*(g - 1)*(g + 1)**2/5
Let r = 319/10 + -158/5. Let h(f) be the first derivative of -2/5*f**3 - 3/20*f**4 + r*f**2 + 2 + 6/5*f. Let h(j) = 0. What is j?
-2, -1, 1
Let d(x) = -x**3 + x**2 - 10*x - 32. Let f be d(-2). Factor -1/3*t**2 + 0*t - 1/6*t**4 + 1/2*t**3 + f.
-t**2*(t - 2)*(t - 1)/6
Let r(c) = c**2 + 12*c - 23. Let t be r(-14). Factor 22*h**2 + 7*h**4 + 37*h**5 + 3 + 28*h**t - 13*h - 18*h**3 - 66*h**5.
-(h - 3)*(h - 1)**4
Let l(q) be the first derivative of 2*q**5/35 - 3*q**4/14 - 2*q**3/21 + 3*q**2/7 + 245. Factor l(a).
2*a*(a - 3)*(a - 1)*(a + 1)/7
What is r in 4*r**3 - 80 + 2*r**4 - 84*r**2 - 164*r + 0*r**3 + 0*r**3 + 2*r**4 = 0?
-4, -1, 5
Let n(y) = 59*y**3 + 202*y**2 + 157*y + 20. Let b(f) = -710*f**3 - 2425*f**2 - 1885*f - 240. Let v(j) = -3*b(j) - 35*n(j). Factor v(l).
5*(l + 1)*(l + 2)*(13*l + 2)
Let v = 128785 + -35158241/273. Let q = v + 2/39. Factor -q*r + 4/7 - 6/7*r**2.
-2*(r + 1)*(3*r - 2)/7
Let s = 955/1872 + -7/144. Factor -4/13*a**2 + 0*a - 2/13*a**4 - s*a**3 + 0.
-2*a**2*(a + 1)*(a + 2)/13
Let l = -13 + 13. Suppose z + l = 4. Suppose -z*b + 4*b**3 - 5*b**2 + 0*b**4 + 3*b**4 + 3*b**2 - b**4 = 0. What is b?
-2, -1, 0, 1
Let r(u) be the third derivative of 0*u + 3*u**2 + 1/6*u**4 + 0 + 0*u**3 + 1/15*u**5. Factor r(v).
4*v*(v + 1)
Let s be (-9)/3*246/324. Let b = -16/9 - s. Factor 1/8*u + 1/8*u**5 + 0 + b*u**2 + 3/4*u**3 + 1/2*u**4.
u*(u + 1)**4/8
Let q = 19 - 17. Let t(y) = 3*y**2 - 3*y. Let n be t(q). Factor -12*b**2 + n*b - 14*b - 10*b + 8 - 2*b.
-4*(b + 2)*(3*b - 1)
Let p(k) = -1. Let r = -12 + 6. Let i(m) = 0*m**2 - 1 - 1 + 4*m**2 - 8*m**2. Let q(z) = r*p(z) + i(z). Determine g so that q(g) = 0.
-1, 1
Let z(c) = -12*c**5 + 30*c**4 - 39*c**3 - 15*c**2 + 24*c - 15. Let o(j) = j**5 - j**4 + j**3 + j**2 + j. Let u(k) = 9*o(k) + z(k). Factor u(w).
-3*(w - 5)*(w - 1)**3*(w + 1)
Factor 0 + 0*g**2 + 0*g + 5/2*g**3 + 3*g**4 + 1/2*g**5.
g**3*(g + 1)*(g + 5)/2
Let j(z) be the first derivative of 24*z**2 - 3*z**4 - 8 - 16*z - 16/3*z**3 + z**5. Solve j(v) = 0 for v.
-2, 2/5, 2
Let s(p) be the third derivative of p**5/50 + 41*p**4/60 - 4*p**3 - 185*p**2 + 1. Factor s(k).
2*(k + 15)*(3*k - 4)/5
Let k(r) = -r**3 + 6*r**2 + 8*r - 5. Let w be k(5). Suppose 6*q**2 + w*q**4 + 12*q**3 + 3*q**2 - 57*q**4 = 0. Calculate q.
-3, -1, 0
Let f(x) = x**3 + 39*x**2 - 97*x - 132. Let d(o) = -2*o**3 - 38*o**2 + 98*o + 132. Let v(t) = -3*d(t) - 2*f(t). Factor v(h).
4*(h - 3)*(h + 1)*(h + 11)
Let y be -1 - ((-2176)/180 + -3). Let q = y - 66/5. Let -80/9*i - 470/9*i**3 - q - 98/9*i**5 - 290/9*i**2 - 350/9*i**4 = 0. What is i?
-1, -2/7
Suppose 6 + 2/7*h**2 - 20/7*h = 0. Calculate h.
3, 7
Suppose 267 = 361*j - 174*j - 107. Factor -10/3*f - 4 - 2/3*f**j.
-2*(f + 2)*(f + 3)/3
Let k(b) be the second derivative of 1/30*b**4 + 0*b**2 + 10*b + 0 + 0*b**3. Factor k(l).
2*l**2/5
Let p(r) be the second derivative of r**5/5 - 5*r**4/3 + 4*r**3/3 + 16*r**2 - 4*r + 1. Factor p(a).
4*(a - 4)*(a - 2)*(a + 1)
Suppose -1 - 8 = -3*g. Suppose 9*u + 3 + 2 - 2*u**g + u**3 + 3*u**2 = 0. What is u?
-1, 5
Let d(w) be the second derivative of -w**5/220 + w**4/11 - 7*w**3/22 + 5*w**2/11 + 16*w + 18. Determine v so that d(v) = 0.
1, 10
Let i(q) be the first derivative of 2*q**6/15 - q**4/5 - 259. Factor i(h).
4*h**3*(h - 1)*(h + 1)/5
Let b = 9208/23045 - -2/4609. Let o(s) be the first derivative o | {
"pile_set_name": "DM Mathematics"
} |
2) + 6/(-4) a multiple of 14?
False
Let k = 418 + 411. Does 24 divide k?
False
Suppose 1085 = 11*b - 2589. Suppose -2*q - 60 = -b. Is 5 a factor of q?
False
Suppose z = o + 50, 4*o - z - 9 = -200. Let t = o - -182. Is 27 a factor of t?
True
Let z(p) = 11*p - 1. Let w be z(-1). Does 3 divide ((-2)/w*10)/((-1)/(-9))?
True
Let w(j) = -j**3 - j**2 + j + 92. Suppose -x + 20 = 2*v - 6*v, 5*v + 25 = -5*x. Does 23 divide w(x)?
True
Suppose -692*m + 3150 = -689*m. Does 15 divide m?
True
Let i(y) = -144*y + 280. Is 13 a factor of i(-6)?
True
Let i(f) = -f**3 + 32*f**2 + 84*f - 157. Is i(34) a multiple of 106?
False
Let h(w) = -4*w**3 + 5*w**2 + 5*w - 2. Let i(u) = 9*u**3 - 11*u**2 - 11*u + 4. Let x(r) = -5*h(r) - 2*i(r). Is 10 a factor of x(3)?
True
Let f(r) = -16*r - 11. Let c be f(-5). Let h = c - -30. Is 33 a factor of h?
True
Let z(k) = 16*k - 16. Let r be z(6). Is (r/(-32))/((-1)/10) a multiple of 25?
True
Let d = 4420 + -1282. Is 91 a factor of d?
False
Let a be 1/((-3)/35 - 14/(-49)). Suppose -a - 11 = -v. Is v a multiple of 16?
True
Suppose -2*y + 0*y + 15 = 5*a, -5*a - 5*y + 15 = 0. Suppose 36 + 918 = 4*l - 2*c, -c - 718 = -a*l. Let b = -168 + l. Is 17 a factor of b?
False
Suppose 11*r - 95 = 312. Does 6 divide r?
False
Let q(v) = 3*v**2 - 4*v + 5. Let n be q(4). Suppose -y + 19 = -n. Does 8 divide y?
True
Let q(m) = 5*m**2 + 8*m + 61. Is 13 a factor of q(-10)?
True
Let t(h) = -180*h - 5. Let c = 79 - 80. Does 25 divide t(c)?
True
Suppose -53*n = -13*n - 22400. Does 20 divide n?
True
Suppose 5*p - 16 = p. Let i(b) be the second derivative of b**5/20 - b**4/3 + 2*b**3/3 - b**2 - 3*b. Is 3 a factor of i(p)?
False
Suppose -11*g + 1406 = -1597. Does 7 divide g?
True
Let m = 50 - 50. Suppose m*n - n = -10. Is 10 a factor of n?
True
Let j be (-13)/(-2) + (-15)/10. Suppose -2*i - j*z + 286 - 25 = 0, -i + 138 = -5*z. Is 41 a factor of i?
False
Is 10 a factor of -2 + (8 + -1 - -235)?
True
Let t be 1/((-2)/6*-1). Suppose -t*w - 4*k + 408 = 0, -5*w + 3*k = -k - 680. Suppose 3*z + 129 = 5*g, -5*g = -z + 3 - w. Is 6 a factor of g?
False
Suppose -1176 = -5*r + 104. Is r a multiple of 16?
True
Let q = 78 + -33. Let c = 84 - q. Is 30 a factor of c?
False
Let j = 9 - 3. Is -5 + 70/15 + 74/j a multiple of 12?
True
Suppose 4 - 2 = -2*c, -4*c = 2*o - 734. Suppose -144 = -2*l - 4*f + 7*f, 3*f + o = 5*l. Is 15 a factor of l?
True
Let i = 194 - -265. Is i a multiple of 14?
False
Suppose 3*x = 4*t - 8 + 125, -5*x + t + 178 = 0. Suppose 3*a - 4*a = -x. Does 5 divide a?
True
Suppose 11*j + 2405 = -2*j. Let k = 15 - j. Is k a multiple of 20?
True
Suppose -5*m + 4*g - 23 + 170 = 0, 0 = 5*m + 5*g - 120. Let p = -12 + 31. Let w = p + m. Does 13 divide w?
False
Let c(d) = -d**3 + 15*d**2 - d + 7. Let t be c(15). Is 3 a factor of (8/20*5)/(t/(-36))?
True
Let o be (-2944)/14 - 2/(-7). Let n = -143 - o. Is 12 a factor of n?
False
Suppose -2*y = -3*p + 551, -p + 0*p = -4*y - 197. Is (-2)/4 - p/(-2) a multiple of 15?
True
Suppose o - 4*o - 336 = 0. Let t = 143 + o. Does 29 divide t?
False
Is 13 a factor of 0 + 2/(-16) - 54603/(-24)?
True
Suppose -4*o = 3*o + 7. Let i(r) = 90*r**2 + 4*r + 4. Is 15 a factor of i(o)?
True
Let a(y) = -y**3 + y**2 + 6*y + 3. Let x be a(3). Let d be -1*x + 50/5. Suppose -5*h + 142 = 4*z, 0 = d*z - 2*z - 5*h - 200. Is z a multiple of 19?
True
Let q(x) = -9*x - 2. Let u = 9 + -12. Let v be q(u). Suppose 2*l - v = 15. Is 10 a factor of l?
True
Suppose 0 = 4*r - 7*r + a + 2234, 4*r = 2*a + 2980. Is 6 a factor of r?
True
Let o be (-38)/(-14) + 74/14 + -5. Suppose -3*u - 2*u + 151 = 4*w, -o*w = u - 28. Does 8 divide u?
False
Suppose -3*h + 41 = 5*a + 12, -26 = -2*h - 5*a. Suppose d = -0*d - h, 0 = -3*n + 4*d - 195. Let c = -11 - n. Is 15 a factor of c?
False
Let p(i) = -4*i**3 + 2*i**2 + 4*i + 9. Let f be p(-5). Suppose 4*b + f = 3*c, -c + b + 351 = c. Let q = 263 - c. Does 19 divide q?
False
Let t = -1056 - -1270. Does 32 divide t?
False
Let f(t) = 4 + 0 + 0*t + 3 - t. Let h be f(-5). Let z = h - -5. Does 3 divide z?
False
Let n = 56 + -49. Let u(j) = 6*j**2 + 5*j - 7. Let s(m) = 5*m**2 + 5*m - 6. Let x(a) = -7*s(a) + 6*u(a). Is 7 a factor of x(n)?
True
Is (-1 - -2)/(1 + (-12770)/12775) a multiple of 73?
True
Suppose -5*w + 2982 = -3*w. Is w a multiple of 21?
True
Suppose 8 = -m - 0. Let n = m + 3. Is 7 a factor of n/15 + (-58)/(-3)?
False
Let s = -4 + 10. Let a(l) be the second derivative of l**4/12 - l**3 + 4*l**2 + 35*l. Does 4 divide a(s)?
True
Let t be (-16)/12*(-84)/8. Suppose t*m - 11*m - 108 = 0. Is 6 a factor of m?
True
Let w be (-15)/(2/(4/(-2))). Suppose -10*z - 595 = -w*z. Is 11 a factor of z?
False
Suppose -2*m + 21416 = 4*h, 5*m - 5 - 5 = 0. Is h a multiple of 101?
True
Let c(h) be the first derivative of 16*h**3/3 - h**2 + 3*h + 8. Is 13 a factor of c(2)?
False
Suppose -6*x + 80 = -x. Let o(r) = -r**2 + 17*r + 17. Is 21 a factor of o(x)?
False
Suppose -21 = -2*z - z + r, 5*z - 35 = 3*r. Suppose -111 - 64 = -z*j. Is 4 a factor of j?
False
Is 15*(0 + (-1566)/(-30)) a multiple of 65?
False
Is 20 a factor of (-36)/(-6) + -1 + 963?
False
Let q(p) be the first derivative of 2*p**2 - 7*p - 4. Is 5 a factor of q(13)?
True
Let v = -2219 - -2261. Is 6 a factor of v?
True
Let u(k) = -32*k + 14. Does 45 divide u(-8)?
True
Let c be ((-4)/(-12))/((-1)/21). Let o(g) = 2*g**2 + 6*g - 16. Is o(c) a multiple of 25?
False
Let s = -201 - -536. Is 8 a factor of s?
False
Let w be (-210)/(-20) - (-1)/2. Suppose -w = -k + 12. Does 3 divide k?
False
Suppose 5*t + 20 = 5*s, 0 = -2*s + t + 4*t + 14. Let k be (3/s)/((-6)/468). Let q = -57 - k. Does 24 divide q?
False
Let x(g) = -11*g + 2. Let h(f) = 22*f - 4. Let v(l) = -2*h(l) - 5*x(l). Let y be v(1). Suppose -2*a + 3 = -y. Is a a multiple of 6?
True
Let o(f) = -9*f**2 + 5*f + 13. Let z(p) = -14*p**2 + 8*p + 20. Let k(x) = -8*o(x) + 5*z(x). Let u be k(5). Suppose w + 16 - u = 0. Does 17 divide w?
False
Suppose -a - 5*v = -3*a - 335, 4*a + 725 = -v. Let i = 255 + a. Is 25 a factor of i/(-9)*18/(-3)?
True
Suppose -5*n + 0*n = 0. Suppose n = 44*s - 46*s + 110. Does 11 divide s?
True
Let x = -22 + 34. Suppose -6*i + 3*i = -x. Suppose m - 5 = 0, 5*k = -m - i*m + 210. Is 18 a factor of k?
False
Suppose 2*t + 32 = -0*t. Let k = t - -21. Suppose 0 = -4*v + k*l + 160, 164 = 4*v - 4*l - 0*l. Is v a multiple of 9?
True
Let r(o) = -2*o**3 - 7*o**2 - 7*o - 7. Let i be -2*3*28/42. Does 37 divide r(i)?
True
Suppose v - 104 - 416 = -3*t, -4*t + 695 = 3*v. Is 12 a factor of t?
False
Let n be 30/(-195) + (-11306)/26. Let m = n + 660. Does 45 divide m?
True
Let a(r) = -r**2 + 8*r - 3. Let p be a(7). Suppose z = -p*z + 5*f + 70, -4*f = 0. Is 14 a factor of z?
True
Let p(r) = -r - 15. Let o be p(-20). Let w(c) = c**2 + 4*c - 12. Does 8 divide w(o)?
False
Suppose -4*w = q + 19 - 931, 0 = -4*q + 2*w + 3684. Does 23 divide q?
True
Let f = 2271 + -1888. Is f a multiple of 8?
False
Suppose 5*z + 13 = -17. Let w = 26 - z. Let t = 72 - w. Is t a multiple of 10?
True
Let z(s) = 2*s**2 - 13*s + 17. Let t be z(5). Suppose -47 = -t*m + 13. Is m a multiple of 6?
True
Suppose 68*l = 69*l - 1083. Is 40 a factor of l?
False
Let c be 6/(-2) - (3 + -40). Suppose c = b - 34. Does 19 divide b?
False
Let u(c) = 16*c - 2. Let p(k) = -4*k**2 - 20*k - 13. Let y(h) = 3*h**2 + 13*h + 9. Let l(r) = -5*p(r) - 7*y(r). Let d be l(9). Is u(d) a multiple of 15?
True
Suppose -2*v + 848 = -4*z, 63 + 2033 = 5*v - 4*z. Does 16 divide v?
True
Let c be 7 + (-4 - 0) - -42. Suppose 0 = c*f - 50*f + 300. Is 32 a factor of f?
False
Let g = 8 - 8. Suppose g = -4*m + 16 + 4. Suppose 2*p - 8 = 2*f - 4*f, 0 = m*p + 3*f - 26. Is 3 a factor of p?
False
Let r = -3464 + 5645. Is 23 a factor of r?
False
Suppose 0 = 322*l - 323*l + 42. Is l a multiple of 42?
True
Let d = 19 + 351. Is 54 a factor of d?
False
Suppose -991 - 1185 = -8*z. Is 16 a factor of z?
True
Let r(z) = z**2 + 5*z + 5. Let y be r(-5). Suppose 2*s - 6 = -5*x, 4*s + 20 = -s + y*x. Is ((-6)/s)/(-3) + 10 a multiple of 5?
False
Let b(h) = -9*h + 2*h**2 - 11 + 3*h + 8. Is b(7) a multiple of 9?
False
Let g(t) = 2*t**3 - 5*t**2 - 3*t - 4. Let v(d) = -3*d**3 + 6*d**2 + 4*d + 5. Let w(y) = 5*g(y) + 4*v(y). Let n be w(1). Is 0 - (n - (48 - 1)) a multiple of 13?
False
Does 8 divide (-4)/54 - 3894/(-81)?
True
Suppose a - 4 + 0 = | {
"pile_set_name": "DM Mathematics"
} |
minutes before 8:06 AM?
10:53 PM
How many minutes are there between 2:43 AM and 6:34 AM?
231
What is 325 minutes before 1:05 PM?
7:40 AM
What is 596 minutes before 4:20 PM?
6:24 AM
What is 448 minutes before 3:45 AM?
8:17 PM
How many minutes are there between 3:19 AM and 4:41 AM?
82
What is 474 minutes after 8:46 PM?
4:40 AM
How many minutes are there between 4:13 AM and 5:41 AM?
88
How many minutes are there between 6:33 AM and 11:10 AM?
277
What is 277 minutes before 10:44 AM?
6:07 AM
How many minutes are there between 1:47 AM and 11:38 AM?
591
How many minutes are there between 1:48 AM and 12:40 PM?
652
What is 342 minutes after 6:54 PM?
12:36 AM
How many minutes are there between 5:10 AM and 9:01 AM?
231
How many minutes are there between 10:35 PM and 8:30 AM?
595
What is 102 minutes after 8:03 PM?
9:45 PM
What is 507 minutes after 8:38 AM?
5:05 PM
How many minutes are there between 8:58 AM and 8:47 PM?
709
What is 322 minutes before 2:29 PM?
9:07 AM
How many minutes are there between 8:39 PM and 7:43 AM?
664
How many minutes are there between 6:34 PM and 8:24 PM?
110
How many minutes are there between 8:07 PM and 2:34 AM?
387
How many minutes are there between 12:21 AM and 11:23 AM?
662
What is 664 minutes before 9:53 PM?
10:49 AM
How many minutes are there between 6:40 PM and 6:54 PM?
14
How many minutes are there between 12:15 PM and 4:25 PM?
250
What is 547 minutes after 4:22 AM?
1:29 PM
How many minutes are there between 8:58 PM and 8:25 AM?
687
How many minutes are there between 11:02 PM and 5:14 AM?
372
How many minutes are there between 8:24 AM and 12:22 PM?
238
What is 639 minutes after 4:20 AM?
2:59 PM
How many minutes are there between 5:36 AM and 1:00 PM?
444
What is 89 minutes after 9:33 PM?
11:02 PM
How many minutes are there between 12:34 PM and 10:16 PM?
582
What is 371 minutes before 6:14 AM?
12:03 AM
How many minutes are there between 5:52 PM and 11:20 PM?
328
How many minutes are there between 2:25 PM and 7:08 PM?
283
What is 607 minutes after 12:17 PM?
10:24 PM
How many minutes are there between 12:14 AM and 1:42 AM?
88
How many minutes are there between 10:31 AM and 4:38 PM?
367
What is 657 minutes after 2:04 PM?
1:01 AM
How many minutes are there between 8:05 AM and 8:47 AM?
42
How many minutes are there between 7:01 AM and 11:53 AM?
292
How many minutes are there between 6:19 PM and 5:16 AM?
657
What is 298 minutes before 1:46 PM?
8:48 AM
How many minutes are there between 3:00 AM and 11:40 AM?
520
What is 547 minutes before 8:21 AM?
11:14 PM
What is 557 minutes before 11:22 PM?
2:05 PM
What is 88 minutes before 9:32 AM?
8:04 AM
How many minutes are there between 5:24 AM and 4:24 PM?
660
How many minutes are there between 7:01 PM and 9:23 PM?
142
How many minutes are there between 10:43 PM and 5:10 AM?
387
What is 149 minutes before 4:04 AM?
1:35 AM
What is 317 minutes before 6:33 AM?
1:16 AM
How many minutes are there between 9:06 PM and 11:57 PM?
171
How many minutes are there between 5:14 AM and 5:23 AM?
9
How many minutes are there between 4:13 AM and 1:54 PM?
581
What is 675 minutes after 9:24 PM?
8:39 AM
How many minutes are there between 9:36 AM and 10:29 AM?
53
How many minutes are there between 12:17 AM and 5:27 AM?
310
How many minutes are there between 9:34 PM and 7:07 AM?
573
What is 14 minutes before 10:31 PM?
10:17 PM
How many minutes are there between 2:12 PM and 12:22 AM?
610
How many minutes are there between 11:31 AM and 10:10 PM?
639
How many minutes are there between 3:53 AM and 12:14 PM?
501
What is 41 minutes before 10:56 PM?
10:15 PM
How many minutes are there between 6:49 AM and 4:45 PM?
596
What is 710 minutes after 4:11 PM?
4:01 AM
How many minutes are there between 5:07 AM and 9:21 AM?
254
How many minutes are there between 2:17 AM and 11:05 AM?
528
What is 88 minutes before 8:19 AM?
6:51 AM
What is 211 minutes after 1:06 AM?
4:37 AM
How many minutes are there between 12:59 AM and 3:14 AM?
135
How many minutes are there between 5:59 PM and 1:27 AM?
448
How many minutes are there between 12:23 AM and 3:01 AM?
158
What is 279 minutes after 8:47 PM?
1:26 AM
How many minutes are there between 8:45 PM and 6:41 AM?
596
How many minutes are there between 7:41 AM and 5:57 PM?
616
What is 704 minutes before 3:02 AM?
3:18 PM
How many minutes are there between 12:12 AM and 12:22 AM?
10
How many minutes are there between 9:22 AM and 2:27 PM?
305
What is 620 minutes before 3:52 PM?
5:32 AM
What is 591 minutes before 3:57 PM?
6:06 AM
What is 463 minutes before 2:40 PM?
6:57 AM
What is 472 minutes before 2:57 AM?
7:05 PM
How many minutes are there between 6:44 AM and 9:01 AM?
137
What is 111 minutes before 1:05 PM?
11:14 AM
What is 419 minutes after 3:24 PM?
10:23 PM
How many minutes are there between 8:40 PM and 5:47 AM?
547
How many minutes are there between 11:00 PM and 10:16 AM?
676
How many minutes are there between 10:26 AM and 5:49 PM?
443
What is 669 minutes after 2:49 PM?
1:58 AM
What is 611 minutes before 1:52 PM?
3:41 AM
What is 576 minutes before 10:41 PM?
1:05 PM
How many minutes are there between 10:54 PM and 12:45 AM?
111
How many minutes are there between 12:30 AM and 11:11 AM?
641
How many minutes are there between 12:04 AM and 2:07 AM?
123
How many minutes are there between 2:14 PM and 1:46 AM?
692
How many minutes are there between 10:32 PM and 3:24 AM?
292
What is 88 minutes after 6:32 PM?
8:00 PM
What is 236 minutes after 2:13 AM?
6:09 AM
What is 154 minutes before 2:55 AM?
12:21 AM
What is 488 minutes after 8:12 PM?
4:20 AM
What is 538 minutes after 7:37 PM?
4:35 AM
What is 303 minutes after 6:13 AM?
11:16 AM
What is 401 minutes before 6:19 PM?
11:38 AM
How many minutes are there between 6:20 AM and 7:52 AM?
92
How many minutes are there between 12:14 PM and 11:30 PM?
676
What is 217 minutes after 8:21 PM?
11:58 PM
How many minutes are there between 12:07 AM and 2:04 AM?
117
What is 202 minutes before 4:19 AM?
12:57 AM
How many minutes are there between 2:42 PM and 1:54 AM?
672
What is 564 minutes before 7:40 AM?
10:16 PM
What is 10 minutes before 8:36 PM?
8:26 PM
How many minutes are there between 8:53 AM and 9:29 AM?
36
How many minutes are there between 5:34 AM and 1:59 PM?
505
How many minutes are there between 1:23 PM and 9:10 PM?
467
What is 607 minutes after 8:33 AM?
6:40 PM
How many minutes are there between 8:17 PM and 2:59 AM?
402
How many minutes are there between 4:40 AM and 11:30 AM?
410
What is 647 minutes before 11:05 AM?
12:18 AM
How many minutes are there between 12:23 AM and 2:52 AM?
149
What is 612 minutes after 2:54 PM?
1:06 AM
What is 96 minutes before 12:56 AM?
11:20 PM
What is 693 minutes before 12:11 AM?
12:38 PM
How many minutes are there between 6:27 PM and 3:55 AM?
568
What is 240 minutes after 9:14 PM?
1:14 AM
What is 345 minutes before 7:12 PM?
1:27 PM
What is 123 minutes before 8:59 PM?
6:56 PM
How many minutes are there between 9:13 AM and 7:30 PM?
617
What is 388 minutes after 8:45 AM?
3:13 PM
What is 394 minutes before 5:15 AM?
10:41 PM
How many minutes are there between 11:30 AM and 4:22 PM?
292
How many minutes are there between 10:17 PM and 5:20 AM?
423
What is 508 minutes before 11:27 PM?
2:59 PM
What is 60 minutes after 8:25 PM?
9:25 PM
How many minutes are there between 12:51 PM and 2:07 PM?
76
What is 175 minutes before 5:48 PM?
2:53 PM
What is 539 minutes before 2:55 AM?
5:56 PM
What is 128 minutes after 3:31 PM?
5:39 PM
How many minutes are there between 5:13 AM and 7:28 AM?
135
What is 612 minutes after 4:07 PM?
2:19 AM
What is 372 minutes after 5:33 AM?
11:45 AM
How many minutes are there between 6:13 AM and 2:40 PM?
507
What is 323 minutes before 3:12 PM?
9:49 AM
How many minutes are there between 11:29 PM and 6:27 AM?
418
How many minutes are there between 9:42 AM and 9:09 PM?
687
How many minutes are there between 5:09 AM and 5:34 AM?
25
What is 126 minutes before 5:55 AM?
3:49 AM
What is 618 minutes before 9:42 AM?
11:24 PM
What is 317 minutes before 1:40 PM?
8:23 AM
How many minutes are there between 9:36 AM and 7:21 PM?
585
What is 53 minutes after 10:44 AM?
11:37 AM
How many minutes are there between 6:44 AM and 11:44 AM?
300
What is 699 minutes before 9:59 PM?
10:20 AM
How many minutes are there between 11:37 AM and 9:55 PM?
6 | {
"pile_set_name": "DM Mathematics"
} |
58*u + 66 for u.
-1
Solve 3*n = 2*n + 4*n for n.
0
Solve 32 = -1208*v + 1192*v for v.
-2
Solve 34*n = 39*n - 20 for n.
4
Solve 0 = 976*r - 962*r - 84 for r.
6
Solve -228 = 7*f - 235 for f.
1
Solve 24*g = 25*g - 3 for g.
3
Solve -21*i + 230 = 41 for i.
9
Solve 0 = 168*q - 178*q + 50 for q.
5
Solve 0 = -13*o + 394 - 355 for o.
3
Solve -15*j + 1 = -29 for j.
2
Solve 3 = -5*z + 8*z for z.
1
Solve 24 = 259*k - 247*k for k.
2
Solve -28*o - 28 = -0 for o.
-1
Solve 20*v = 76 + 44 for v.
6
Solve 0 = 34*v - 17*v + 68 for v.
-4
Solve 28 = -19*b + 5*b for b.
-2
Solve -14 = -2*j - 12*j for j.
1
Solve 9*k - 12 - 15 = 0 for k.
3
Solve 3155 = -9*u + 3182 for u.
3
Solve 7*r = 162 - 197 for r.
-5
Solve 5*m = -1 - 24 for m.
-5
Solve 9*o - 10*o = 9*o for o.
0
Solve -9*y = 6*y for y.
0
Solve 5*l - 90 = -80 for l.
2
Solve 0*u = -5*u + 5 for u.
1
Solve -2*a = 14 - 16 for a.
1
Solve -2*k - 32 = -42 for k.
5
Solve 109 = -2*y + 113 for y.
2
Solve -93*y + 94*y = 0 for y.
0
Solve 0 = 45*k - 49 + 4 for k.
1
Solve 9*f = -0 - 0 for f.
0
Solve -23*j - 320 = -55*j for j.
10
Solve 19*i = 7*i for i.
0
Solve -24 = k + 5*k for k.
-4
Solve -45 = 52*q - 61*q for q.
5
Solve 105 = 310*y - 325*y for y.
-7
Solve f + 55 = -10*f for f.
-5
Solve -5*r + 14 = -6 for r.
4
Solve 36 = -283*v + 301*v for v.
2
Solve -1 - 15 = -4*d for d.
4
Solve 0 = 22*v - 17*v + 15 for v.
-3
Solve -9*r - 48 = -12 for r.
-4
Solve 3*s + 4134 - 4116 = 0 for s.
-6
Solve -1 - 5 = 2*f for f.
-3
Solve 0 = 6*a + 8 + 4 for a.
-2
Solve -3*a = -3*a - 4*a for a.
0
Solve 6*l + 1191 = 1179 for l.
-2
Solve 6279 = -8*y + 6215 for y.
-8
Solve -o + 5 = 2 for o.
3
Solve 5*k = 55 - 30 for k.
5
Solve 3*h - 11*h = 8 for h.
-1
Solve 0 = -8*c + 5*c for c.
0
Solve 9*c + 39 = 3 for c.
-4
Solve 0 = 2*k + 3*k - 10 for k.
2
Solve -v + 14 = 10 for v.
4
Solve 3*h - 2 = 4 for h.
2
Solve -5*f = -f - 8 for f.
2
Solve -38 = -73*r - 330 for r.
-4
Solve -10*d + 2*d = 40 for d.
-5
Solve 16 - 58 = -14*p for p.
3
Solve 0 = 24*i - 478 + 214 for i.
11
Solve 35*w - 12 = 198 for w.
6
Solve 5*o - 27 = -52 for o.
-5
Solve 0 = 2*g + 55 - 61 for g.
3
Solve 35*v - 31*v + 8 = 0 for v.
-2
Solve -21 = 19*m - 97 for m.
4
Solve 0 = -51*x + 52*x + 5 for x.
-5
Solve 55*g + 65 = 340 for g.
5
Solve 0 = -3*o - 420 + 405 for o.
-5
Solve -6*f - 4 = 2 for f.
-1
Solve 2 - 7 = i for i.
-5
Solve -55*w - 3*w = -58 for w.
1
Solve 4*y + 31 - 39 = 0 for y.
2
Solve 2*f = 18 - 20 for f.
-1
Solve 9*f - 79 = -70 for f.
1
Solve 0 = -11*z + 50 - 28 for z.
2
Solve -2*r + 465 - 481 = 0 for r.
-8
Solve 0 = 80*w - 84*w - 16 for w.
-4
Solve 24*t - 5*t = 95 for t.
5
Solve 201*j - 218*j = -102 for j.
6
Solve 0 = 56*x - 49*x for x.
0
Solve 0 = 85*y - 88*y + 6 for y.
2
Solve 440 = 17*m + 93*m for m.
4
Solve 2*c - 86 = -82 for c.
2
Solve 23 + 47 = -10*q for q.
-7
Solve -244*g + 138 = -221*g for g.
6
Solve 27 - 68 = -41*y for y.
1
Solve 0 = 14*n + 31 - 3 for n.
-2
Solve -10*w + 9*w = -2 for w.
2
Solve 4*l + 6 + 10 = 0 for l.
-4
Solve 46 - 38 = -4*d for d.
-2
Solve -6*d + 7 = -5 for d.
2
Solve 3*r - 1 = 4*r for r.
-1
Solve 0 = 128*u - 113*u - 105 for u.
7
Solve -75*o + 79*o = -8 for o.
-2
Solve 6*j = 6 + 6 for j.
2
Solve 11*g = -49 + 16 for g.
-3
Solve 13*w + 27 = 1 for w.
-2
Solve 14 = 6*q - 16 for q.
5
Solve 0 = 13*y + 99 - 138 for y.
3
Solve 0 = 20*v - 113 + 13 for v.
5
Solve -9*l = -3*l - 6 for l.
1
Solve 0 = 38*q + 15*q - 212 for q.
4
Solve -20*j = -25*j - 20 for j.
-4
Solve -16*a = 1380 - 1300 for a.
-5
Solve -271*x = -276*x - 5 for x.
-1
Solve -48*t - 16 = 32 for t.
-1
Solve -27 + 123 = 24*q for q.
4
Solve 3 = -2*l + 3*l for l.
3
Solve 5*q = 12*q + 14 for q.
-2
Solve -12 = 17*b - 13*b for b.
-3
Solve 0 = 92*m + 66*m + 158 for m.
-1
Solve 229*n = 205*n - 72 for n.
-3
Solve 33 = 21*y - 30 for y.
3
Solve 17*t - 3 - 150 = 0 for t.
9
Solve 31*j = 21 + 165 for j.
6
Solve 13 - 4 = 9*m for m.
1
Solve 8*d + 7 + 9 = 0 for d.
-2
Solve 112*f = 116*f - 12 for f.
3
Solve 52 - 92 = -8*j for j.
5
Solve -33*y + 8*y = 0 for y.
0
Solve 6*b - 15 = b for b.
3
Solve -13*c + 26*c = -78 for c.
-6
Solve -3509*m - 9 = -3510*m for m.
9
Solve 74*r = 60*r + 14 for r.
1
Solve -4*p = -5 + 1 for p.
1
Solve 7 = 3*z + 19 for z.
-4
Solve 82*w - 81 = -327 for w.
-3
Solve 16*z + 25 + 7 = 0 for z.
-2
Solve 18*f - 25*f - 7 = 0 for f.
-1
Solve 210 = k + 211 for k.
-1
Solve -30*u = -60 - 30 for u.
3
Solve -5*a = -105 + 85 for a.
4
Solve 96 = 6*q + 144 for q.
-8
Solve 86 - 35 = 17*u for u.
3
Solve 98*c - 102*c = -28 for c.
7
Solve 2*c + 6 = 4*c for c.
3
Solve 9*u - 123 = -87 for u.
4
Solve -14*f - 6 = 50 for f.
-4
Solve -58 = -19*b + 37 for b.
5
Solve 0 = -2*i - 5 + 11 for i.
3
Solve -19*r = -8 - 11 for r.
1
Solve 11*y + 0*y - 55 = 0 for y.
5
Solve -844 = 7*o - 802 for o.
-6
Solve -4 - 29 = 11*j for j.
-3
Solve 0 = -42*g + 71 + 97 for g.
4
Solve -19 = -21*v + 44 for v.
3
Solve 18*a = 48*a + 120 for a.
-4
Solve 5*d - 3 = 2*d for d.
1
Solve 40*b - 23*b = -51 for b.
-3
Solve 4*j + 8 = 2*j for j.
-4
Solve 0 = 18*n - 2*n + 80 for n.
-5
Solve -1 = -6*t - 31 for t.
-5
Solve -5*a = -11*a - 18 for a.
-3
Solve 5*a + 24 + 21 = 0 for a.
-9
Solve 12*g - 15*g = 6 for g.
-2
Solve 4 + 6 = 2*b for b.
5
Solve 25*v = 16*v + 9 for v.
1
Solve -12*g = -7*g - 5 for g.
1
Solve -1196*i + 1187*i - 36 = 0 for i.
-4
Solve -8*s + 27 + 13 = 0 for s.
5
Solve -10 = 6*h - 34 for h.
4
Solve 139*t - 126*t = 0 for t.
0
Solve 0 = -10*m + 17*m for m.
0
Solve 3 = -8*h - 13 for h.
-2
Solve 511 = -2*w + 497 for w.
-7
Solve 64*m - 37*m = -135 for m.
-5
Solve 105*z = 114*z + 36 for z.
-4
Solve -9*i = 7 - 25 for i.
2
Solve 0 = 23*l - 9 - 37 for l.
2
Solve -134 = -8*k - 94 for k.
5
Solve 35*a - 112 = 51*a for a.
-7
Solve -4*x = -409 + 385 for x.
6
Solve -41*v = -49*v - 24 for v.
-3
Solve 232*a - 114*a - 107*a = 0 for a.
0
Solve -4*p = -21 + 1 for p.
5
Solve 0 = -17*p - 340 + 374 for p.
2
Solve 41 = 12*j + 77 for j.
-3
Solve 2*u - 6*u - 10*u = 0 for u.
0
Solve 8*q = 8 + 32 for q.
5
Solve 32*m - 240 = -28*m for m.
4
Solve 34*h + 26 = -8 for h.
-1
Solve -29*s = 1 + 115 for s.
-4
Solve 42 + 2 = 11*x for x.
4
Solve -105*j - 60 = -93*j for j.
-5
Solve -9*a - 83 = -146 for a.
7
Solve -69*i + 110*i = -82 for i.
-2
Solve -109 = -36*t + 107 for t.
6
Solve -3112*p = -3116*p - 8 for p.
-2
Solve 6*s + 34 - 4 = 0 for s.
-5
Solve -1 = 6*c - 5*c for c.
-1
Solve 26*g = 22*g + 4 for g.
1
Solve -7*n + 22*n = 30 for n.
2
Solve 9*g - 2 = -11 for g.
-1
Solve -35 = -16*i - 3 for i.
2
Solve 453*x + 9 = 444*x for x.
-1
Solve -199*x + 210*x = -33 for x.
-3
Solve 39 + 363 = 67*b for b.
6
Solve 21 = -5*i - 4 for i.
-5
Solve 3*v + 8 = v for v.
-4
Solve 34*y = -10*y + 176 for y.
4
Solve -3*h + 2 = -10 for h.
4
Solve 3 = -2*i + 5 for i.
1
Solve -542 + 524 = -6*b for b.
3
Solve -12*r = r - 52 for r.
4
Solve 5*z = 50*z + 315 for z.
-7
Solve 17*j = 20*j + 3 for j.
-1
Solve 0 = 9*m + 793 - 811 for m.
2
Solve -9 = 42*b + 369 for b.
-9
Solve 12 = -46*u - 34 for u.
-1
Solve -2*y - 10 + 0 = 0 for y.
-5
Solve -13*y + 9 = -10*y for y.
3
Solve -40 = -16*i + 56 for i.
6
Solve 3*u - 5 = -2 for u.
1
Solve 0 = -71*g + 81*g + 10 for g.
-1
Solve 64 = -55*b + 23*b for b.
-2
Solve -742 = -6*o - 760 for o.
-3
Solve -19*k + 18*k + 3 = 0 for k.
3
Solve 0 = 38*q - 22*q + 16 for q.
-1
Solve 289 = 63*v - 89 for v.
6
Solve -4*b + 29 - 5 = 0 for b.
6
Solve 880*y - 40 = 885*y for y.
-8
Solve 0 = 12*j + 152 - 56 for j.
-8
Solve 16 - 22 = -3*l for l.
2
Solve -11*l + 23 = -21 for l.
4
Solve 13*w = 9*w - 16 for w.
-4
Solve 511 - 476 = 5*v for v.
7
Solve 9*k + 655 = 673 for k.
2
Solve 0 = v - 6 + 9 for v.
-3
Solve -3333 + 3261 = -12*j for j.
6
Solve -31*f = -24*f - 42 for f.
6
Solve 5*o = 32*o - 81 for o.
3
Solve 38 - 194 = 26*r for r.
-6
Solve 0 = 6*a + 284 - 260 for a.
-4
Solve 0 = -41*b + 10*b + 155 for b.
5
Solve 21 = 273*c - 266*c for c.
3
Solve -11*g - 5 = -10*g for g.
-5
Solve f = -3 - 1 for f.
-4
Solve -44*f + 67*f - 161 = 0 for f.
7
Solve 0 = -3*b - 15 - 0 for b.
-5
Solve 1017*a = 1014*a + 15 for a.
5
Solve 13*h = 16*h - 15 for h.
5
Solve 8*h + 169 = 105 for h.
-8
Solve -47 = -19*a - 9 for a.
2
Solve -48*c + 64 = -16*c for c.
2
Solve -50*j + 18*j - 128 = 0 for j.
-4
Solve -80 = -106*l + 662 for l.
7
Solve -4*f = 189 - 169 for f.
-5
Solve 6*p = 11*p - 10 for p.
2
Solve -r - 6*r - 28 = 0 for r.
-4
Solve -25*a - 78 = -3 for a | {
"pile_set_name": "DM Mathematics"
} |
hich is the second biggest value? (a) 0.3 (b) -2/9 (c) r
a
Let s be (-12)/90*5/(-4). What is the third biggest value in -0.3, -2/11, s?
-0.3
Let l = -47 + 47.1. What is the fourth biggest value in 9/7, l, 4, 1?
l
Let i = -23 + 32. Let g = i + -6. Which is the third biggest value? (a) 0.3 (b) 1/3 (c) g
a
Let i be (-1)/((-6)/4) + (-56)/147. Let z = 5 - 9. Let x = z - -6. Which is the third smallest value? (a) -0.3 (b) x (c) i
b
Let t(f) = f**2 - 2*f - 4. Suppose 15 = 4*y - 1. Let x be t(y). What is the third smallest value in -0.2, 0.4, x?
x
Let z = 0.3 - -1.2. Let d = z + 0.5. Let r = -3.96 + -0.04. Which is the second biggest value? (a) d (b) r (c) 3
a
Suppose 0 = -4*m - 4, -16 = -3*s + m + 12. Let d be s/90*(-16)/(-2). What is the third biggest value in 4, d, -5?
-5
Let u = 4 + -4.1. What is the third smallest value in u, -2/27, -0.5?
-2/27
Let j = -62 + 247/4. What is the third biggest value in -0.4, j, 1/2?
-0.4
Let j = 3 - 9. Let s = 7 + j. What is the second biggest value in -1/3, s, 0.5?
0.5
Suppose -x - 6 = -2*q, 3*x + 5*q - 13 = 24. What is the second biggest value in x, 0.1, -2?
0.1
Let p = 4 - 7/2. Let h = 0.7 + -3.1. Let w = h - -2. Which is the biggest value? (a) 0.2 (b) p (c) w
b
Let o = -17.5 - -18. Which is the biggest value? (a) o (b) -2/11 (c) -2
a
Let m = -21 + 22. Let h = 0.5 + -1. Which is the smallest value? (a) 5 (b) h (c) m
b
Let i be (-2)/(-6) - 16/30. Let y = -21 - -24. What is the biggest value in y, 5, i?
5
Let o = 409/8 - 51. What is the second biggest value in o, -5, 2?
o
Let t = 0.9 - 0.9. Let a = t + -4. Let v = 0.3 + -0.1. What is the third smallest value in a, -0.2, v?
v
Let c = 8.04 + -8. Let r = -0.12 + c. What is the smallest value in 1, -4, r?
-4
Let t = -7.6 + -0.4. Let j = -8.1 - t. Which is the smallest value? (a) 2/3 (b) j (c) -5
c
Let d = 0.11 - -0.29. Which is the third smallest value? (a) 2/13 (b) d (c) 4
c
Let q = -3 + 3. What is the biggest value in q, 0.2, -5?
0.2
Suppose -r - 31 = -32. Let l = 3 - 3.1. What is the third smallest value in l, r, 3?
3
Let f be 5/8*(-1)/(-5). Let n = 9 - 10. Let o = 0 + -0.1. Which is the second biggest value? (a) f (b) n (c) o
c
Let j = -0.04 + 3.04. Let m = -3.3 + j. Suppose 0 = 2*u - 3*q - 2, 2*u + 2 - 6 = 4*q. Which is the smallest value? (a) m (b) u (c) -1/5
b
Suppose 0*l = -4*l + 12. Which is the second biggest value? (a) -5 (b) 0.1 (c) l
b
Suppose -3*p + 1 = 2*v, 6*v + 6 = p + v. Let q be 6 - 52*(-4)/(-40). Let g = 0 - 0.2. Which is the third biggest value? (a) p (b) g (c) q
b
Let u = -12 + 22. Which is the third smallest value? (a) -4 (b) 3 (c) u
c
Let h(g) = -g**2 + g + 2. Let r be h(2). Suppose 0 = 3*t - r + 9. What is the smallest value in -2/3, 3/4, t?
t
Let j be (-24)/42*(-7)/2. Which is the third biggest value? (a) 5 (b) 1/2 (c) j
b
Let d = 27.2 + -27. Let i be (-5)/2 + 1 + 1. What is the third biggest value in i, -0.1, d?
i
Suppose p + 8 = 5. Let g be (p - -2) + -1 + 2. Let l = -1/48 + -21/16. Which is the second biggest value? (a) g (b) 1/4 (c) l
a
Let j be -2*(-3)/(-6)*-1. What is the third smallest value in 0, 4, j?
4
Let v = -0.38 + 0.25. Let i = v + -4.87. Let q = 0 - -0.4. What is the second biggest value in -0.4, i, q?
-0.4
Let n = -58 - -40. Let j = -19 - n. What is the smallest value in -1/5, -5, j?
-5
Let f = 87.4 + -95. Let o = f - -8. Which is the third smallest value? (a) 0 (b) o (c) 5
c
Suppose 0 = 3*f - 10 - 2. What is the third smallest value in -0.1, -0.5, f?
f
Let l(r) = r. Let f be l(-3). Let z = -521/2 - -262. Which is the second biggest value? (a) z (b) -5 (c) f
c
Let d = 0.018 - 0.068. What is the third smallest value in 1, -2/3, -0.1, d?
d
Suppose 4*s = -2*v + 8, -7*v - s = -12*v - 13. Let l = -0.3 + 0.5. What is the third smallest value in v, l, 1/4?
1/4
Let x be (-2)/30*4*-3. Suppose 30 = 4*z - 98. Let k be ((-3)/(-2))/((-264)/z). Which is the second smallest value? (a) k (b) x (c) 2
b
Let v be (-70)/38 + (2 - 0). Let s = 1/114 + v. Let l = -72 + 71. Which is the third smallest value? (a) s (b) l (c) -4
a
Let n = 278 + -283. Suppose -5*g = -0*g - 20. What is the second smallest value in n, 0, g?
0
Let r = 3 + 1. Suppose 0 = -4*s + 3 + 13. Let g be 1/s*-3 - -1. Which is the third biggest value? (a) -0.3 (b) r (c) g
a
Suppose 3 = -2*x + 9. Which is the third smallest value? (a) 2 (b) 0.3 (c) x
c
Let h = -0.01 + 0.21. Let c(j) = 3*j - 1. Let y be c(1). Let d be (1/10)/((-1)/y). What is the second biggest value in d, -0.4, h?
d
Let j = 15 - 14.7. Which is the second smallest value? (a) 0.1 (b) 0.2 (c) 0 (d) j
a
Suppose 3*a = -0 - 3. Let h be ((-1)/12)/(a/3). Let m = 0.3 - -0.2. What is the second biggest value in m, 5, h?
m
Suppose 4*f - 35 = c - 0*c, 35 = -3*c - 2*f. Let v be c/(-6) - 0 - 1. What is the smallest value in v, 0.4, -3/5?
-3/5
Let g = 0 - -0.3. Let u = -0.2 - g. Let c = 0.06 + 2.94. What is the second smallest value in u, 1, c?
1
Let a = 12.4 + -12. What is the smallest value in a, 1/8, -2?
-2
Let q = -8.3 - -8. Let s = 17.42 - 0.42. Let f = 12 - s. What is the second biggest value in q, 1, f?
q
Let g be 10/50*(1 + 4). What is the smallest value in -0.3, -3, -1/3, g?
-3
Let z = 178 + -529/3. Let r = 1 + -2. Let v = r + 6. What is the third biggest value in z, v, -1?
-1
Let y be 2/20*(-90)/(-12). Let x = 15 + -15. Which is the second smallest value? (a) 3 (b) y (c) x
b
Let x be (2/4)/((-63)/(-14)). Let k = 1 + 1. Let v = k - 1.9. What is the second smallest value in v, -0.2, x?
v
Let w = 0.9 - -0.1. What is the third smallest value in 5, w, 2?
5
Let f = 0.134 + -0.434. What is the smallest value in f, -0.1, 0.5, -0.2?
f
Let o = 32 + -28. Which is the second smallest value? (a) -0.4 (b) 2 (c) o (d) 0.4
d
Suppose 8*x - 3*x + 20 = 0. Let r = -14.4 + 14.49. Which is the third smallest value? (a) 2/3 (b) x (c) r
a
Suppose 11*i + 1 - 45 = 0. Let h = 6 - 13. Let y = h - -5. Which is the third biggest value? (a) y (b) -5 (c) i
b
Let i = -1.3 - -6.3. Let f = -3 - -4. Let t = 1.3 - f. Which is the smallest value? (a) i (b) t (c) 0
c
Let p = -11 + 9. Let z = -9 - -8. Which is the smallest value? (a) p (b) z (c) 1/4
a
Let s be (-2)/(-8) - (-2)/56. Suppose 0 = h + 4*h - 15. What is the second biggest value in h, s, -2/21?
s
Let v = -33 - -33. Let t = -1 + 2. Which is the smallest value? (a) t (b) 0.2 (c) v
c
Let f be (-6)/117*(-5 - -2). Let g be -1 + 3*2/10. Which is the second smallest value? (a) g (b) 4 (c) f
c
Suppose -3*z = 5*a - 5, -a - 4 - 12 = 4*z. Let r be (-6)/(-5) - (-4)/(-20). What is the third smallest value in r, a, 2/11?
a
Let m = 4.94 + -5. Let n = m + 7.06. Let x = n + -5. What is the biggest value in x, 3, 1/10?
3
Let z be 2/6 - 76/156. Let l be 6/14*2/2. Let u = -1.2 + 5.2. Which is the third biggest value? (a) l (b) z (c) u
b
Let w = 2.3 - 2.21. Let n = -3.91 - w. What is the second smallest value in -2/3, -0.1, n?
-2/3
Let u = 2.9 - 2.5. What is the biggest value in -3, u, 0.07?
u
Suppose 8 = -3*d + 2. Let x be 2 + 3*d/(-3). Let p = -2.9 + -0.1. What is the biggest value in -0.4, p, x?
x
Let k = -0.03 + 3.03. Let g be 0 - (-1)/(3/2). Which is the second biggest value? (a) -5 (b) g (c) k
b
Let v be (-2)/(7 + (-3)/1). Let y = -21 + 167/8. Which is the smallest value? (a) v (b) 3 (c) y
a
Let o = 0.3 + 2.7. Let u = o - 3. Let d = -0.1 - u. What is the second biggest value in d, 2, -3?
d
Suppose -4*t + t = 0. Let q be t + 1/(-5) + 0. Let y = -0.35 - 0.05. Which is the second smallest value? (a) 2/5 (b) y (c) q
c
Let p be (-692)/6*(5 - 2). Let y = -614024 - -9205172/15. Let h = y - p. What is the third biggest value in h, -2/5, 0?
-2/5
Let k = -4 + 3. Let t = -23 - -23.5. What is the third smallest value in 2/5, t, k?
t
Let q = -279/2 - -140. Which is the second smallest value? (a) q (b) 0 (c) -0.6
b
Let i = -168.96 - -169. Let q be 0 - 1*(-1)/2. Which is the smallest value? (a) i (b) -1 (c) q
b
Let j = -0.05 - 1.95. Let v = j + 1. Which is the biggest value? (a) 3 (b) v (c) 2/5
a
Suppose 57*f = 56*f + 2. Let m = -5 - -2. Which is the second smallest value? (a) 1/2 (b) f (c) m
a
Let w = -15 + 11. What is the third smallest value in 0.1, w, -1?
0.1
Let x = 0.34 + -0.04. Let b = x - 0.5. Let q = 8/ | {
"pile_set_name": "DM Mathematics"
} |
) -3/5 (d) -10132
d
What is the sixth biggest value in -4, 5, 0.4, 112616, 3, 0.3?
-4
Which is the fourth smallest value? (a) -31.28 (b) 9/7 (c) -2/19 (d) 4
d
What is the fourth smallest value in 966, 5/11, 2/3, 2/15, 2/5?
2/3
Which is the second biggest value? (a) 0.0549 (b) 5 (c) 4.982 (d) 4/5 (e) -1
c
What is the fifth smallest value in -2/3, -1, 1, -2, -15, 4, 120.14?
1
What is the third biggest value in -0.1, 2/9, -6, 0.5, 137/91, -3?
2/9
Which is the second biggest value? (a) 5651 (b) 15/2 (c) -0.351
b
What is the third biggest value in 9/9485, -5, 0.053?
-5
Which is the fourth smallest value? (a) 6.3 (b) 4 (c) 2/471 (d) -1/4
a
What is the second smallest value in 11, 3, 1/69, 2, 1, -3.1, -5?
-3.1
What is the smallest value in -99, -0.1, -3658, 0.08?
-3658
Which is the third smallest value? (a) 0.107 (b) 4/5 (c) 2/39 (d) -0.01 (e) 74
a
What is the second biggest value in -0.3, 2, 0.23, 2/5, -1/7, 0.07, -4/189?
2/5
What is the fourth biggest value in 0.3, 2/25, 9/2, -0.4, 0.62, -0.5?
2/25
Which is the biggest value? (a) 5/3 (b) -0.4 (c) -14/27 (d) 2/5 (e) 4 (f) 22
f
What is the biggest value in -0.1, -53405, -2, 1, -0.09?
1
Which is the biggest value? (a) 0.32 (b) 1099 (c) -3/7 (d) 8 (e) -2/9
b
Which is the second biggest value? (a) 98 (b) 0.05376 (c) 14
c
Which is the third smallest value? (a) -3/8 (b) -246 (c) -0.04 (d) 4/5 (e) -702
a
What is the sixth smallest value in -3/2, 3.92, 1, 7, -5, -2, -1/4?
3.92
What is the third smallest value in -6, -0.2, 1418, -1/4, -0.843?
-1/4
What is the biggest value in -1420.99, -2.5, 3?
3
Which is the fourth smallest value? (a) -3 (b) 3/4 (c) -159 (d) -4/43
b
What is the third smallest value in 2/3, -1/3, -8630?
2/3
Which is the fifth smallest value? (a) 0.2 (b) 0.6 (c) 6 (d) 3 (e) 0
c
Which is the sixth biggest value? (a) -5 (b) 4 (c) 0.3 (d) -12 (e) -33 (f) -18
e
What is the second smallest value in 6/13, -175, -0.4, 549?
-0.4
Which is the third smallest value? (a) 1/2 (b) -0.2 (c) 3246/1781
c
What is the fifth smallest value in 2.02, 4, -3, 5675, 5?
5675
Which is the smallest value? (a) 36.31 (b) -42 (c) -0.5 (d) -18 (e) 5
b
What is the biggest value in -2/9, 669.5, -257?
669.5
What is the smallest value in 17/8, -23641, 1?
-23641
What is the third biggest value in -36, 2/23, 20/267?
-36
Which is the third biggest value? (a) -1.6 (b) 10/561 (c) 0
a
What is the sixth biggest value in 1.2, 0.4, -2, 0.53, 1/2, 0.3, 191?
0.3
What is the second biggest value in 1, -13, 144/25, 4, 0.4, -7/2?
4
What is the seventh smallest value in -1/8, 1/4, 4, -8, -89, -2, -0.26?
4
What is the fourth smallest value in 3779, 2/13, -0.3, -373?
3779
What is the third smallest value in 0.5, 89854369, -0.2?
89854369
Which is the fourth biggest value? (a) 160/7 (b) -6 (c) 0 (d) 3 (e) -4 (f) 1/11 (g) 0.5
f
What is the third biggest value in 1/5, 31.313, 0.85, 7, -0.2, -4/5?
0.85
What is the smallest value in -3/11, 0.0378, 0.135, -4?
-4
Which is the fifth smallest value? (a) 8803 (b) -5 (c) 4 (d) 3270 (e) 0.1
a
Which is the sixth smallest value? (a) 0.045 (b) -0.5 (c) -0.4 (d) 2 (e) 6.507 (f) 0.1
e
Which is the third biggest value? (a) 5 (b) -64/5 (c) -0.81875
b
Which is the fourth biggest value? (a) 6/25 (b) 18 (c) -0.22 (d) 8/5
c
What is the second smallest value in -1/7, -5, -1/2, -4, -54/7, 0.2401?
-5
What is the third smallest value in 3, 1/2, 4, 0.4, 0, 0.8, 1?
1/2
What is the third smallest value in -2/15, -8/35, 247, 0.019?
0.019
What is the seventh smallest value in -0.6, 1/2, 3, 191, -18, -4/7, 2/5?
191
Which is the fifth biggest value? (a) 2 (b) -19 (c) 1 (d) -0.23366 (e) -2/13
b
What is the second biggest value in 0.1, -86570, 100, -0.3?
0.1
What is the third biggest value in 21, 8/3, -5/32, -118?
-5/32
What is the sixth biggest value in 5291, -14.2, 1, -0.2, 3, -4?
-14.2
Which is the third smallest value? (a) -11 (b) 1375 (c) -4.94
b
Which is the smallest value? (a) 459 (b) 0.02 (c) 209.93
b
What is the sixth biggest value in -3/4, 7, -1, -3/2, 35.6, -0.01, -2/9?
-1
What is the third biggest value in -0.42, 7, 469, -33?
-0.42
What is the sixth biggest value in -51, 0.5, 2820, -0.8, -1, 0.1?
-51
Which is the fifth biggest value? (a) -1.1 (b) -0.02 (c) 3352 (d) 4 (e) 1/4 (f) -3/5
f
What is the smallest value in -146/15, 0.1, 31, -2/7, 13?
-146/15
What is the third biggest value in 13117313, -2/3, -0.2?
-2/3
What is the second smallest value in 3, -27713, -0.052?
-0.052
What is the fourth biggest value in 2/5, -0.05168, -5, -1/6?
-5
What is the fourth biggest value in -10, 5/4, -103, 11/609?
-103
Which is the third smallest value? (a) 0.2 (b) 2 (c) -3 (d) -359/2 (e) -4/3
e
Which is the fourth smallest value? (a) -1/10 (b) 3/5 (c) 0.1 (d) 63/1829
b
What is the fifth smallest value in -1/12, 1.7, 35/16, 0.5, 1?
35/16
Which is the biggest value? (a) 12 (b) -8 (c) 2 (d) -10 (e) -6/107
a
Which is the fifth biggest value? (a) 0.3 (b) -4 (c) 200 (d) 16 (e) 11 (f) 0.1 (g) -24
f
What is the fourth biggest value in 3, -3, -2, -3/7, 122, 36.889?
-3/7
What is the biggest value in -19, 20, 74, 18/13, 0.2?
74
Which is the smallest value? (a) -3 (b) -4186 (c) 124
b
What is the second biggest value in -0.19, -1.1, -3/4, -4, 2/379?
-0.19
What is the third biggest value in -0.002, -151.7, -16?
-151.7
What is the smallest value in 0.2895, -1, 0, 1737?
-1
Which is the fifth smallest value? (a) -5 (b) -0.1 (c) -257 (d) 5 (e) 0.16 (f) -0.01
e
What is the second biggest value in -3, -3256, 13/73?
-3
Which is the third biggest value? (a) -4440 (b) -11 (c) 1259
a
Which is the fourth biggest value? (a) -3 (b) 4/5 (c) 72.2 (d) 3 (e) 2 (f) 65
e
What is the seventh smallest value in -17, -1, 0.54, 1, -4, 74, -24?
74
What is the fourth biggest value in 4, 14.3, 0.5, -0.8, 0.18, 0, -6/37?
0.18
What is the fifth biggest value in -1.8, -1, 21.56, -4, 23, 0.5?
-1.8
Which is the second smallest value? (a) -0.096 (b) 72289 (c) 0 (d) -8
a
What is the smallest value in 107474, -4, -9?
-9
Which is the fourth smallest value? (a) 0.4 (b) 2/9 (c) 2 (d) 2/13 (e) 0.2 (f) 1731
a
Which is the fourth smallest value? (a) -1 (b) -6215 (c) 184 (d) -3
c
What is the biggest value in -2/413, -5, 53, 5/2?
53
Which is the smallest value? (a) 287 (b) -2/11 (c) -0.5 (d) 1/7 (e) 0.23 (f) -32 (g) 0.3
f
Which is the third biggest value? (a) -20866 (b) -2/5 (c) -87
a
Which is the biggest value? (a) 2.31387 (b) 1 (c) -2/141
a
Which is the smallest value? (a) 1/3 (b) 0.0172 (c) 3/5 (d) 11/2
b
Which is the fourth smallest value? (a) -708 (b) -6.45 (c) 0.3 (d) 5
d
What is the second smallest value in 1/4, -0.5, -11682292, -0.1?
-0.5
Which is the third smallest value? (a) 4.28 (b) 53/5 (c) 0
b
What is the biggest value in 1/37, -1/3, 0.2, 20, 49, -3, 4/5?
49
What is the fifth biggest value in 55578, -0.2, -0.5, -0.9, 0, 4/7?
-0.5
Which is the second biggest value? (a) -3598 (b) 1.32 (c) 3.3
b
Which is the second biggest value? (a) 0.3 (b) 2/17 (c) 101.3 (d) -0.2 (e) -0.4 (f) 1
f
Which is the third biggest value? (a) 881 (b) 73168 (c) 0.08
c
What is the smallest value in -6999, 0.2, -0.3, 8/51?
-6999
Which is the fifth smallest value? (a) -10 (b) -6.7 (c) -16 (d) 2/5 (e) 0.17 (f) -5 (g) 1
e
Which is the third biggest value? (a) 8 (b) 0.4 (c) 4 (d) 93 (e) -0.3 (f) 1965
a
What is the second biggest value in -1/8, 5/904, -4/5, 0.2, -0.11?
5/904
What is the second biggest value in 1097/295, 3, -2/7?
3
Which is the sixth smallest value? (a) 2/7 (b) 2 (c) 0.5 (d) 1 (e) 5/3 (f) 3 (g) -1070
b
Which is the second biggest value? (a) 2/3 (b) -1 (c) -605 (d) 0 (e) 94
a
What is the second smallest value in 0.1, 0.01, -464, -0.07?
-0.07
What is the second biggest value in -2, 4/3, 5, -714/55?
4/3
Which is the fourth smallest value? (a) -0.5 (b) 3/7 (c) 0 (d) -15 (e) 92 (f) -0.4 (g) -1
f
Which is the smallest value? (a) -0.4 (b) 0.2 (c) -23 (d) -3.2624 (e) -4
c
Which is the third smallest value? (a) 10672 (b) -1/2 (c) 14/5
a
What is the seventh smallest value in 29, -4, 3/5, -3, 0.012, 6.3, -0.4?
29
What is the second biggest value in 4, -1/3, -0.011, 0.05, | {
"pile_set_name": "DM Mathematics"
} |
) = 12057*u - 241158. Determine i(20).
-18
Let h(a) = 15*a**2 - 96*a - 1042. What is h(-12)?
2270
Let h(v) = 2*v**3 + 2*v**2 + 8773*v - 150. What is h(0)?
-150
Let t(v) = -v**3 - 434*v**2 - 15050*v - 128. Determine t(-38).
-52
Let k(v) = v**3 + 43*v**2 + 53*v + 533. What is k(-10)?
3303
Let d(j) = -44*j + 3001. What is d(68)?
9
Let r(p) = -15163*p + 90927. Calculate r(6).
-51
Let a(j) = 283*j**2 + 259*j - 776. Give a(3).
2548
Let m(t) = 460*t + 67320. What is m(-145)?
620
Let v(f) = f**3 + 10*f**2 - 260*f - 1121. What is v(-21)?
-512
Let w(b) = 50*b**2 + 1257*b + 300. Calculate w(-25).
125
Let y(r) = -1289*r + 32082. Give y(25).
-143
Let z(q) = 2038407*q + 18345658. Determine z(-9).
-5
Let b(g) = -997*g - 108476. Calculate b(-109).
197
Let m(f) = -6*f**3 + 264*f**2 - 552*f - 16321. Calculate m(40).
-1
Let y(n) = n**3 + 6*n**2 - 5*n + 127. Determine y(0).
127
Let p(v) = 482*v**2 + 4331*v - 45. Give p(-9).
18
Let j(g) = 583*g**2 - 23340*g + 787. Determine j(40).
-13
Let f(q) = -105*q**2 - 5450*q + 167. Give f(-52).
-353
Let c(f) = -3*f**3 + 154*f**2 - 352*f + 330. Determine c(49).
-111
Let n(i) = 24033*i + 696950. What is n(-29)?
-7
Let n(c) = 105145*c - 630868. What is n(6)?
2
Let a(j) = -5*j - 1999. Give a(227).
-3134
Let b(x) = -x**3 + 264*x**2 + 361*x - 95232. What is b(264)?
72
Let p(s) = -10653*s + 2162575. What is p(203)?
16
Let q(r) = 16*r**3 + 151*r**2 - 22*r - 775. Calculate q(-9).
-10
Let h(k) = -3183*k + 101901. Give h(32).
45
Let a(y) = -108*y**3 - 4*y**2 + 11. Give a(2).
-869
Let y(j) = 39*j + 1291. Calculate y(4).
1447
Let d(h) = -148*h - 2379. Calculate d(-12).
-603
Let q(s) = 13574*s + 135726. Determine q(-10).
-14
Let k(z) = -z**2 + 47*z - 795. Give k(46).
-749
Let n(f) = -126518*f + 126606. Determine n(1).
88
Let n(q) = 2*q**2 - 124*q + 381. Determine n(0).
381
Let x(c) = -3*c**3 + 21*c**2 + 72*c - 29. What is x(9)?
133
Let o(t) = 2183*t - 51946. Determine o(24).
446
Let b(v) = 684*v - 130650. What is b(191)?
-6
Let u(j) = 4*j**2 + 43*j - 16541. Determine u(-70).
49
Let g(v) = -v**2 + 184339*v + 2212231. Determine g(-12).
19
Let f(c) = 95*c**2 + 5123*c + 111. Determine f(-54).
489
Let x(p) = p**2 - 202*p - 1233. What is x(219)?
2490
Let n(v) = 143*v**2 - 1059*v + 747. Give n(6).
-459
Let x(n) = 120011*n + 2400250. Give x(-20).
30
Let p(g) = -8372*g - 101002. Calculate p(-12).
-538
Let g(h) = 5*h**3 + 666*h**2 + 127*h - 692. Give g(-133).
106
Let y(d) = -11173*d + 22356. Calculate y(2).
10
Let t(o) = -o**3 + 152*o**2 - 669*o - 337. Give t(5).
-7
Let z(y) = -6*y**3 + 2272*y**2 + 3069*y - 11047. What is z(380)?
-27
Let t(u) = 15139*u - 10218819. Determine t(675).
6
Let g(t) = -2531*t + 63558. Calculate g(25).
283
Let n(x) = -4439*x - 142033. Calculate n(-32).
15
Let a(z) = 17*z - 2058. Calculate a(73).
-817
Let u(d) = 12*d**3 - 71*d**2 + 161*d - 1769. Give u(7).
-5
Let x(a) = 3*a**3 + 10*a**2 - 88*a - 301. Calculate x(-5).
14
Let p(t) = -13655*t + 81950. Give p(6).
20
Let m(u) = -5189*u - 140390. Determine m(-27).
-287
Let a(l) = -7479*l - 2310996. Calculate a(-309).
15
Let p(m) = -5*m**2 - 3230*m + 52496. Determine p(16).
-464
Let u(g) = 6*g**3 + 684*g**2 + 1373*g + 156540. Determine u(-114).
18
Let i(f) = -f**2 - 328*f + 29555. Determine i(74).
-193
Let v(m) = 2*m**3 - 128*m**2 + 71*m + 3540. What is v(63)?
75
Let p(d) = d**2 - 5771*d - 285175. Give p(-49).
5
Let s(b) = 43131*b + 690081. Determine s(-16).
-15
Let o(z) = -28*z**3 - 529*z**2 - 2*z - 60. What is o(-19)?
1061
Let b(r) = 3886*r - 16398. Calculate b(4).
-854
Let x(a) = -100*a - 3512. Calculate x(-35).
-12
Let k(g) = -237*g - 134648. What is k(-568)?
-32
Let g(h) = -h**3 + 80*h**2 + 1439*h - 971. Calculate g(95).
359
Let m(i) = -i**3 - 37*i**2 + 128*i + 6331. Determine m(-37).
1595
Let c(t) = -2*t**2 + 253*t + 836. Determine c(126).
962
Let v(h) = -10162*h + 6584991. Calculate v(648).
15
Let i(a) = 3*a**2 + 68982*a - 759158. Give i(11).
7
Let r(f) = -f**2 - 26*f + 1266. What is r(34)?
-774
Let m(s) = -14*s**3 - 1196*s**2 + 1190*s + 5. What is m(1)?
-15
Let s(d) = 5589*d + 112109. What is s(-20)?
329
Let z(q) = 45*q**2 + 3595*q + 3166. Calculate z(-79).
6
Let r(c) = c**2 + 1429*c + 8537. Determine r(-6).
-1
Let n(g) = 232*g + 23564. Determine n(-102).
-100
Let x(l) = -5*l**3 + 150*l**2 + 26*l - 769. Give x(30).
11
Let h(j) = -j**3 + 39*j**2 + 755*j - 737. Determine h(53).
-48
Let o(v) = -457*v**2 + 95*v + 93. Give o(-1).
-459
Let r(v) = v**2 + 7788*v + 225012. Calculate r(-29).
1
Let w(z) = -z**3 - 16*z**2 + 213*z + 2005. Determine w(-9).
-479
Let c(g) = 331*g**2 - 474*g - 960. What is c(-2)?
1312
Let k(x) = -3*x**3 + 6*x**2 + 73*x + 465. Give k(-9).
2481
Let h(b) = b**3 - 98*b**2 + 31. Calculate h(98).
31
Let h(c) = 10184*c - 1548039. What is h(152)?
-71
Let f(q) = -q**3 + 22*q**2 - 182*q + 4139. Determine f(22).
135
Let v(j) = 2*j**2 + 50*j - 4083. What is v(-60)?
117
Let j(q) = 2*q**3 + 122*q**2 + 347*q - 84. What is j(-58)?
-26
Let u(r) = 56*r - 7930. Calculate u(141).
-34
Let k(m) = 6*m**3 + 114*m**2 + 94*m - 250. Calculate k(-18).
2
Let l(o) = -205*o - 7079. What is l(-36)?
301
Let s(y) = -326*y**2 - 51510*y - 309. Calculate s(-158).
7
Let v(y) = y**2 - 78*y + 403. Calculate v(58).
-757
Let p(r) = 7452*r + 7292. What is p(-1)?
-160
Let o(q) = -q**2 - 574*q - 82026. What is o(-305)?
19
Let g(r) = 2*r**3 + 200*r**2 + 1140*r + 1124. Determine g(-94).
-4
Let g(b) = -2*b**3 + 31*b**2 + 3116*b + 228. Determine g(48).
36
Let i(r) = 2*r**2 - 12217*r - 257433. Determine i(-21).
6
Let r(o) = o**2 - 1259*o + 46401. Calculate r(38).
3
Let z(u) = -7*u**2 - 47*u + 263. Determine z(21).
-3811
Let r(s) = 13*s**2 + 169*s + 199. Calculate r(-5).
-321
Let m(r) = -569*r - 135962. Give m(-239).
29
Let f(d) = -5*d**2 - 134*d - 167. What is f(-44)?
-3951
Let z(s) = 12268*s - 49065. What is z(4)?
7
Let w(b) = b**3 - 33*b**2 + 284*b - 12406. Give w(35).
-16
Let n(m) = 69*m**3 - 286*m**2 - 12*m + 59. Determine n(4).
-149
Let c(v) = -v**3 - 624*v**2 + 2912*v + 646445. What is c(-627)?
8
Let h(i) = -5*i**3 - 416*i**2 - 50*i + 2799. What is h(-83)?
60
Let l(c) = 15*c**3 + 48*c**2 + 6*c + 33. Determine l(-3).
42
Let a(j) = -2*j**3 - 7*j**2 + 777*j + 3172. Determine a(-4).
80
Let n(w) = 3*w**2 + 21250*w + 84961. Determine n(-4).
9
Let o(r) = 53*r**3 + 17*r**2 - 125*r + 110. Calculate o(1).
55
Let b(z) = 2*z**3 + 58*z**2 - 490*z - 90. Determine b(7).
8
Let a(n) = 1667*n - 311635. Calculate a(187).
94
Let c(r) = -39*r**2 - 2027*r + 52. Give c(-52).
0
Let d(v) = v**2 - 1267*v + 5041. Give d(4).
-11
Let f(b) = -651*b - 14792. What is f(-22)?
-470
Let k(q) = 336*q - 14747. What is k(45)?
373
Let h(i) = 10*i**2 + 25222*i + 25229. Determine h(-1).
17
Let l(h) = -9*h**3 - 358*h**2 + 85*h + 193. What is l(-40)?
-7
Let f(w) = -3*w**3 - 92*w**2 + 809*w - 119. Determine f(7).
7
Let s(n) = n**2 + 413*n + 14059. Calculate s(-374).
-527
Let i(q) = 16581*q + 150181. Determine i(-9).
952
Let t(b) = 95*b**2 - 963*b + 136. Determine t(10).
6
Let o(d) = -7*d**2 - 421*d - 2837. What is o(-50)?
713
Let h(f) = 46758*f + 561100. Give h(-12).
4
Let m(w) = -12980*w + 376414. Give m(29).
-6
Let h(j) = j**3 - 13*j**2 - 103*j + 1007. Give h(10).
-323
Let b(l) = -10*l**2 + 170*l + 2. What is b(2)?
302
Let a(h) = -49684*h - 62303747. What is a(-1254)?
-11
Let x(s) = 2*s**3 + 19*s**2 + 1433*s + 34091. Determine x(-19).
5
Let f(w) = 68*w**2 + 3746*w - 11491. What is f(-58)?
-7
Let z(g) = -13967*g - 1173138. Give z(-84).
90
Let a(p) = p**3 + 63*p**2 + 9*p - 530. Give a(-63).
-1097
Let x(y) = y**2 + 8*y - 2934. What is x(-63)?
531
Let n(p) = 16*p**2 - 100*p + 139. Determine n(12).
1243
Let i(o) = -53*o - 451. Give i(6).
-769
Let c(j) = -2*j**3 + 116*j**2 + 1369*j - 630. Calculate c(68).
-18
Let a(d) = -36*d**2 - 16*d + 406. What is a(0)?
406
Let x(a) = 964012*a - 7712090. Determine x(8).
6
Let a(g) = -g**3 + 418*g**2 - 3217*g + 4771. Give a(2).
1
Let w(v) = 66*v**2 - 856*v - 958. Give w(14).
-6
Let u(h) = -520*h - 5132. Determine u(-11).
588
Let s(f) = 72*f**2 + 14*f - 199. Calculate s(4).
1009
Let p(h) = -h**2 + 1515*h - 522520. Give p(531).
-16
Let j(n) = 8227*n + 8246. Calculate j(-1).
19
Let r(a) = 73631*a - 957256. Give r(13).
-53
Let u(m) = m**3 + 11*m**2 + 51*m + 2596. Determine u(-17).
-5
Let c(j) = -1714*j - 28446 | {
"pile_set_name": "DM Mathematics"
} |
**3 + 21*o**2 + 2*o - 48. Let k = -792 + 813. Determine q(k).
-6
Let g(i) be the third derivative of -i**4/12 - i**3/2 + 51*i**2. What is g(-5)?
7
Let t = 27 - 24. Let x(i) = i**2 + i + 1. Give x(t).
13
Let t(v) = -v**3 - 8*v**2 - 2. Suppose 2*k + 0*k = -2*x + 20, 30 = 2*k + 4*x. Suppose -k = -2*d - 1. Let f be -1 - d - (3 - -2). Calculate t(f).
-2
Let s(b) = b**3 + 4*b**2 + 2*b + 2. Suppose v + 3*y = 38, 4*y = -0*v - v + 37. Let k = -35 + v. Suppose k*z = 11*z + 20. Calculate s(z).
-6
Suppose -5*w + 2*w - 5*l = -8, 20 = -3*w + 2*l. Let r(v) = v + 6*v + 3 - 9*v + 0*v. Determine r(w).
11
Suppose 3 = 3*x - 7*d + 3*d, 0 = 4*x - 4*d - 8. Let k(j) be the second derivative of -1/3*j**3 + 0 + x*j - 1/2*j**2 - 1/4*j**4. Determine k(-1).
-2
Let p(g) = g**2 - 11*g + 4. Let b = -2089 - -2099. What is p(b)?
-6
Let d be ((-1239)/295)/((-7)/10). Let f(c) = c**2 - c - 26. Give f(d).
4
Let v(n) = 2*n + 24. Let h be -17 - (1 + (-5 - 6)). What is v(h)?
10
Let l(m) be the third derivative of m**6/120 + m**5/60 - m**4/8 + m**3/3 - m**2. Let v = 24 - 22. Suppose -v*x - 3*x + 10 = 0. Give l(x).
8
Let k = 88 + -92. Let z be (-2)/k*(-2 + -6) - -9. Let m(g) = -2*g - 5. Determine m(z).
-15
Let v(l) be the second derivative of l**5/20 - l**4/3 - l**3 + 136*l. Let h be 2 - -2 - 1 - -2. What is v(h)?
-5
Let v(y) = -10*y**2 + 2*y - 3. Let x(a) = -a**2 + 1. Let o(d) = -v(d) - 2*x(d). Let k = 16591 - 16590. Determine o(k).
11
Let i(q) be the third derivative of q**4/24 - q**3/6 + q**2. Let y(g) = -4*g - 19. Suppose -6*v - 16 = -2*v. Let k be y(v). Calculate i(k).
-4
Let b(d) = -3*d + 8. Let l(f) = -4*f + 12. Suppose 0 = 5*r - 4*a - 16 - 25, 0 = 5*r + 4*a - 9. Let h(c) = r*l(c) - 7*b(c). What is h(3)?
7
Let d(q) = q**3 - 4*q**2 - 2*q + 2. Let f = 361 - 359. What is d(f)?
-10
Let i(v) = v**3 - 4*v**2 - v + 3. Suppose -c + 51 = 46. Calculate i(c).
23
Let h(i) = -10*i**2 + 4*i + 3. Let q(t) = -7*t**2 + 4*t + 2. Let s(v) = -2*h(v) + 3*q(v). Calculate s(5).
-5
Let j(s) be the second derivative of -37*s + 1/6*s**3 + 0 - 1/12*s**4 - s**2. Determine j(3).
-8
Let s(f) = f**3 - 8*f**2 + 14*f. Let v be s(6). Let l(c) = -c**3 + 13*c**2 - 12*c + 11. Determine l(v).
11
Let m(z) = -39 + 66 + 4*z**2 - 31 + z**3 + 3*z - 4*z. What is m(-4)?
0
Let a(h) be the third derivative of -h**6/120 + h**5/60 + h**4/8 + h**3/3 + 8*h**2 + 21*h. Calculate a(-1).
1
Let d(a) = a**3 - a**2 - a - 4. Let c = 210 - 210. Give d(c).
-4
Let h(s) = 1 - 8 + 3*s - 4*s**2 + 5*s**2. Let x(a) = -a**2 - 4*a + 8. Let z = 178 - 172. Let o(f) = z*x(f) + 7*h(f). Determine o(4).
3
Let c be 55 + -59 - -2*1*2. Let b(h) be the first derivative of h**2 - 1/4*h**4 + 0*h - 3 + c*h**3. Determine b(-2).
4
Let w = 3 + -3. Suppose w*g - 5*g = -30. Let h(s) = -s + 1. What is h(g)?
-5
Let j(q) = -2*q - 5. Let c be 9/(-3)*(7 - (6 - 1)). What is j(c)?
7
Suppose x + 0 = -3. Let g(z) be the second derivative of z**3/6 - 3*z**2/2 + 14*z. Give g(x).
-6
Let j(z) be the second derivative of z**4/12 - 3*z**2 - 9*z. Let y = 48 - 48. Determine j(y).
-6
Let j(r) be the second derivative of r**3 + 2*r - 1. What is j(-4)?
-24
Suppose 88*b = 86*b - 12. Let h(y) = y + 2*y + 2 - y. Give h(b).
-10
Let y(m) = 7*m + 6. Let d = -8 - -12. Let r(t) = 3*t + 3. Let o(h) = d*y(h) - 9*r(h). Suppose 3*x + 2*x + 20 = 0, 4*x + 16 = p. What is o(p)?
-3
Let y(x) = x**3 + 5*x**2 + 7*x + 4. Let d(a) = -a**2 - 4*a - 3. Let h be d(-2). Suppose 3*b - 32 - h = 0. Let s be b + -12 + 1 + -4. Determine y(s).
-8
Let n(l) be the second derivative of 5/24*l**4 + 1/120*l**5 + 5/3*l**3 + 0 - 11*l + 0*l**2. Let i(o) be the second derivative of n(o). Determine i(-4).
1
Let q be 15/(-3) + 4/2. Let l be (-9)/(-27)*-9*(-2)/3. Let r(y) = 2129 - 2131 + y - l*y. Give r(q).
1
Let o(v) = 15*v + 21. Let b(y) = -8*y - 10. Let i(f) = 9*b(f) + 5*o(f). Let h be i(-6). Let m(l) = 2*l**2 + 5*l + 2. Calculate m(h).
5
Let k(g) = 2*g. Suppose -4*a - 3*n = 25, -4*a - a + n - 17 = 0. Let s be a/(-16) - 3/(-4). Let f be (0 + 0 - s)*1. Calculate k(f).
-2
Let g(p) be the first derivative of p**3/3 + p**2/2 + 8*p - 75. Determine g(0).
8
Let c = 517 - 514. Let i(b) = b**2 - 6*b + 10. Determine i(c).
1
Let x(h) = -h**3 - 5*h**2 - h - 5. Let p(f) = f**3 - 4*f**2 - 3*f**2 - 3*f + 5*f + 16*f**2 + 9. Let c(l) = -6*p(l) - 11*x(l). Let o = -1 + 2. Determine c(o).
6
Suppose -g = -7*v + 4*v + 6, -2 = -v - 2*g. Suppose -3*z = v*z - 70. Suppose 0 = z*y - 18*y + 32. Let a(f) = -f**3 + 9*f**2 - 7*f - 11. Calculate a(y).
-3
Let t(u) = u - 7. Let z be (0 + 1)/(-2)*(20 - 10). What is t(z)?
-12
Suppose 5*o = 4*u - 2, -2*o - 6*u + 10 = -4*u. Let b(d) = -2*d**3 - 3*d**2 + 4*d - 4. What is b(o)?
-24
Let t(q) be the second derivative of -q**6/90 + 7*q**3/6 + 3*q. Let g(u) be the second derivative of t(u). Let i be ((-2)/4)/((-5)/(-10)). Give g(i).
-4
Let n(c) = -2*c - 8. Let p(u) = 1. Let t be 7 + -7 + (-2)/(-2). Let z(r) = t*n(r) + 2*p(r). Calculate z(-7).
8
Suppose 0 = 4*u - 50 - 106. Let m = -34 + u. Let l(x) = 0*x + 0*x**2 - x**2 - 2 + 6*x. What is l(m)?
3
Let w(t) = 16*t + 82. Let h be w(-5). Let r(x) = -x**2 + 5*x - 5. Calculate r(h).
1
Suppose -2*p = -4*l - 108, -p - 5*l = p - 81. Let q be p/(-8)*8/(-6). Let d(m) = m**3 - 8*m**2 + m. Give d(q).
8
Let n(o) = o**3 + 6*o**2 - o - 5. Suppose 2*l = -2*l + 36. Suppose -l*d - 6 = -8*d. Determine n(d).
1
Let s be (-1 - -6)*(-1 - 0 - -2). Suppose -26 = -4*g + 2*w, s*g + 5*w - 8 = 2. Let a(n) = -3*n - 2*n + 4*n. Calculate a(g).
-5
Let v = 2189 - 2189. Let g(l) = -l + 7. Determine g(v).
7
Let a(y) = -20*y**2 + 6*y**3 + 34*y**2 - 13*y**2. Let s = -17 - -16. What is a(s)?
-5
Let v(r) = -r**2 + 6. Let f = 12 - 9. Let h be v(f). Let z be (-4*2)/(h - -1). Let w(i) = 2*i - 6. Give w(z).
2
Let q(c) = 428 - 6*c**2 - 3*c**3 - 869 + 4*c**3 + 5*c + 438. What is q(4)?
-15
Let g = -98 + 108. Suppose -5*u - 2*m - g = -0*m, m + 5 = u. Let p(f) = 2*f**3 + 0 - 3*f**3 - 2. What is p(u)?
-2
Let n = -2 + 2. Let o(f) = -7*f**3 - 7*f**2 - 2*f - 3. Let q(x) = -3*x**3 - 3*x**2 - x - 2. Let m = 5 + -1. Let c(b) = m*o(b) - 9*q(b). What is c(n)?
6
Let y = 326 + -332. Let z(k) = -k**3 - 6*k**2 - 2*k - 7. Give z(y).
5
Suppose -6*s = 15*s - 147. Let p(o) = 5 - 9*o - 4*o**2 + 5*o**2 + 2*o. What is p(s)?
5
Let y(u) = -u**2 - 3*u + 3. Let b(q) = -2*q + 1. Let d be b(-2). Suppose -d*f + 1 = -4*r + 5, 12 = -4*r + f. What is y(r)?
-1
Let n(y) = y**2 + 15*y + 5. Let f be n(-15). Suppose 0 = f*t - 0 - 10. Let u(l) = 10*l**2 - 12*l**2 + 3*l**t. Give u(0).
0
Let h(n) = -3*n**3 - 3*n**2 - 2*n - 1. Suppose 1 = -3*f - 4*y - 1, -y + 5 = -2*f. What is h(f)?
15
Let p(k) be the third derivative of -k**5/60 + k**4/24 + k**3/3 - k**2 - 52. Suppose d = 2 + 1. What is p(d)?
-4
Let i(n) = -3*n**2 - n**3 + 3*n + 6 - 13 + 10. Give i(-3).
-6
Let j(b) be the second derivative of -1/6*b**3 + 0 - 2*b + 7/2*b**2. Suppose -q = 2*i + 2*i - 14, 0 = -q + 2*i + 2. Give j(q).
1
Let r(g) = -g - 3. Let h be r(-6). Suppose -h*u - 6 = -0*m - 3*m, 0 = 3*u + 5*m - 18. Let y(n) be the first derivative of n**3/3 - n**2 + n - 11. What is y(u)?
0
Let l(p) = p**3 + 5*p**2 + 2*p + 3. Let i(x) = 5*x + 40. Let n(d) = -26*d - 201. Let m(j) = -11*i(j) - 2*n(j). Let v be m(-11). What is l(v)?
-7
Let c = -10 + 5. Let g(k) = 2*k - 5 + 560*k**2 - 559*k**2 + 5. Calculate g(c).
15
Let l(s) = 2*s - 5 - 2 + 0*s**2 - 3*s**2 + 8. Give l(-1).
-4
Let w(t) = 21*t + 154. Let m(v) = -7*v - 52. Let j(q) = 8*m(q) + 3*w(q). Give j(-7).
-3
Let v(k) = -2*k**2 - 3*k. Let a(d) be the first derivative of d**4/4 - 5*d**3/3 + 2*d**2 - 5*d + 1. Let x be a(5). Let b = 12 - x. Determine v(b).
-9
Let b(v) = -v - 1. Let c(u) = u + 6. Let s(r) = -2*b(r) + c(r). Let p(i) = i + 1. Let m(f) = -6*p(f) + s(f). Give m(5).
-13
Suppose i = 13*i + 60. Let o(f) = -f**3 - 4*f**2 + 7*f + 5. Give o(i).
-5
Let a(s) be the third derivative of 0*s + 0 - 16*s**2 - 1/6*s**3 + 11/30*s**5 - 1/12*s**4. What is a(-1)?
23
Let o(k) = k**2 - k - 1. Let d be o(3). Let l(i) = -i + 28. Let m(c) = c - 47. Let u(g) = -2*l(g) - m(g). Determine u(d).
-4
Let o(j) be the second derivative of j**3/2 + j**2 + 47*j. Give o(-3).
-7
Let i be (5/(-3))/(1/3). Let f(v) be the second derivative of 1/20*v**5 - 1/3*v**3 + 5/12*v**4 + 13*v - 7/2*v**2 + 0. What is f(i)?
3
Let r be (-20)/(-15)*((-9)/6 - -3). Let j(m) = -3*m**r + 1 + 4 - | {
"pile_set_name": "DM Mathematics"
} |
rime factors of 182515649.
23, 7935463
What are the prime factors of 46472989?
47, 107, 9241
What are the prime factors of 77935791?
3, 79, 149, 2207
List the prime factors of 123662428.
2, 131, 235997
What are the prime factors of 2505790483?
7, 357970069
List the prime factors of 64723309.
7, 521, 17747
What are the prime factors of 54418215?
3, 5, 73, 49697
What are the prime factors of 104564492?
2, 61, 101, 4243
What are the prime factors of 760959225?
3, 5, 13, 86719
What are the prime factors of 2500361849?
2500361849
What are the prime factors of 110465059?
31, 3563389
What are the prime factors of 2581355967?
3, 67, 12842567
List the prime factors of 1058264425.
5, 1009, 41953
List the prime factors of 38435540.
2, 5, 11, 13, 89, 151
List the prime factors of 30337344.
2, 3, 31, 1699
List the prime factors of 6289820750.
2, 5, 25159283
What are the prime factors of 118081673?
118081673
List the prime factors of 64628622.
2, 3, 271, 13249
List the prime factors of 974587404.
2, 3, 7, 11602231
What are the prime factors of 3042668055?
3, 5, 7, 59, 491149
What are the prime factors of 47447650?
2, 5, 139, 6827
What are the prime factors of 2610433239?
3, 870144413
What are the prime factors of 319525408?
2, 9985169
What are the prime factors of 3896681333?
17, 229216549
What are the prime factors of 2426502515?
5, 1657, 292879
List the prime factors of 1248571456.
2, 11, 53, 109, 307
List the prime factors of 2954183832.
2, 3, 29, 67, 7039
What are the prime factors of 48407488?
2, 193, 3919
What are the prime factors of 92648146?
2, 46324073
List the prime factors of 130192958.
2, 7, 41, 226817
What are the prime factors of 15628087?
103, 151729
What are the prime factors of 16996788?
2, 3, 472133
What are the prime factors of 102188416?
2, 11, 72577
What are the prime factors of 623090590?
2, 5, 62309059
What are the prime factors of 32037977?
2719, 11783
List the prime factors of 199070665.
5, 2917, 13649
List the prime factors of 53079582.
2, 3, 211, 41927
What are the prime factors of 1709692818?
2, 3, 37, 7701319
List the prime factors of 254513702.
2, 19, 2029, 3301
What are the prime factors of 72472232?
2, 7, 19, 68113
What are the prime factors of 1096386485?
5, 2293, 95629
List the prime factors of 2483271094.
2, 1241635547
List the prime factors of 1032624.
2, 3, 71, 101
What are the prime factors of 1428601?
1428601
List the prime factors of 3569681627.
23, 155203549
List the prime factors of 29602053.
3, 13, 503
What are the prime factors of 7355566?
2, 3677783
List the prime factors of 95327338.
2, 331, 143999
What are the prime factors of 36133483?
17, 23, 92413
List the prime factors of 538851872.
2, 13, 1295317
List the prime factors of 88338423.
3, 23, 1280267
List the prime factors of 1593611146.
2, 796805573
What are the prime factors of 21274182?
2, 3, 137, 8627
List the prime factors of 45670977.
3, 11, 461323
List the prime factors of 72562499.
97, 109, 6863
What are the prime factors of 439377852?
2, 3, 17, 2153813
List the prime factors of 745360883.
191, 479, 8147
List the prime factors of 5692591624.
2, 1667, 426859
What are the prime factors of 10257656?
2, 47, 27281
List the prime factors of 324371461.
23, 1597, 8831
What are the prime factors of 879186415?
5, 37, 4752359
List the prime factors of 433553232.
2, 3, 7, 139, 9283
List the prime factors of 478729661.
478729661
List the prime factors of 553203344.
2, 73, 473633
List the prime factors of 54204960.
2, 3, 5, 112927
What are the prime factors of 265344691?
691, 384001
List the prime factors of 73643074.
2, 163, 223, 1013
List the prime factors of 536721247.
47, 601, 19001
List the prime factors of 4949540119.
131, 37782749
What are the prime factors of 142154733?
3, 7, 79, 12241
What are the prime factors of 77521338?
2, 3, 101, 42641
List the prime factors of 496043369.
23, 31, 89, 7817
List the prime factors of 19078560.
2, 3, 5, 13249
List the prime factors of 1010930041.
11, 17, 5406043
List the prime factors of 4991487.
3, 53, 31393
What are the prime factors of 895211374?
2, 37, 12097451
List the prime factors of 255998468.
2, 11, 739, 7873
What are the prime factors of 111415493?
7, 15916499
List the prime factors of 400203011.
13, 30784847
What are the prime factors of 2279888232?
2, 3, 94995343
List the prime factors of 20361773.
2693, 7561
What are the prime factors of 31475166?
2, 3, 5245861
List the prime factors of 182538032.
2, 79, 144413
List the prime factors of 19374067.
17, 509, 2239
List the prime factors of 1250699545.
5, 250139909
List the prime factors of 1272363745.
5, 254472749
List the prime factors of 573087398.
2, 13, 22041823
What are the prime factors of 467905635?
3, 5, 10397903
What are the prime factors of 115208685?
3, 5, 19, 127, 1061
List the prime factors of 41835439.
41835439
What are the prime factors of 3076944633?
3, 7, 1049, 46559
List the prime factors of 53288883.
3, 359, 16493
List the prime factors of 34668469.
11, 47, 67057
What are the prime factors of 843814593?
3, 23, 173, 23563
List the prime factors of 603009327.
3, 19, 97, 109063
What are the prime factors of 2013908955?
3, 5, 31, 4330987
List the prime factors of 830904554.
2, 415452277
List the prime factors of 685862357.
127, 419, 12889
List the prime factors of 303777876.
2, 3, 25314823
What are the prime factors of 7121857?
2053, 3469
What are the prime factors of 4330422964?
2, 7, 1489, 103867
What are the prime factors of 1107544563?
3, 41020169
What are the prime factors of 87727336?
2, 23, 59, 8081
What are the prime factors of 704640220?
2, 5, 35232011
What are the prime factors of 82203769?
82203769
List the prime factors of 1917946432.
2, 151, 198463
What are the prime factors of 933228048?
2, 3, 19442251
What are the prime factors of 1555685655?
3, 5, 239, 433943
List the prime factors of 104212586.
2, 23, 367, 6173
List the prime factors of 409480207.
17, 24087071
List the prime factors of 223825378.
2, 7, 15987527
What are the prime factors of 166457194?
2, 83228597
List the prime factors of 4702841388.
2, 3, 7, 1459, 12791
What are the prime factors of 72345777?
3, 7, 263, 13099
What are the prime factors of 6079697274?
2, 3, 7, 144754697
List the prime factors of 35099186.
2, 17, 1032329
What are the prime factors of 88293122?
2, 2801, 15761
What are the prime factors of 38687271?
3, 7, 1842251
What are the prime factors of 853021618?
2, 79, 2063, 2617
List the prime factors of 303136436.
2, 2161, 35069
List the prime factors of 128008451.
128008451
What are the prime factors of 5007371678?
2, 2503685839
List the prime factors of 85462182.
2, 3, 13, 53, 2297
What are the prime factors of 252163685?
5, 5297, 9521
List the prime factors of 425047592.
2, 101, 526049
What are the prime factors of 84731807?
113, 277, 2707
What are the prime factors of 1941920923?
167, 2729, 4261
What are the prime factors of 1027714139?
31, 67, 479, 1033
What are the prime factors of 307632239?
1171, 262709
What are the prime factors of 114862494?
2, 3, 19143749
List the prime factors of 46791031.
7, 136417
What are the prime factors of 652784688?
2, 3, 73, 62099
What are the prime factors of 3029602704?
2, 3, 47, 1342909
List the prime factors of 14958462.
2, 3, 2493077
What are the prime factors of 324433889?
13, 281, 88813
What are the prime factors of 15101284?
2, 11, 41, 761
What are the prime factors of 257200582?
2, 17, 23, 328901
What are the prime factors of 314194961?
29, 271, 39979
List the prime factors of 637294289.
139, 4584851
List the prime factors of 708437913.
3, 131, 1802641
What are the prime factors of 117936485?
5, 61, 386677
What are the prime factors of 707485596?
2, 3, 19, 31, 199, 503
What are the prime factors of 134738792?
2, 41, 410789
List the prime factors of 820828987.
11, 4547, 16411
What are the prime factors of 463306317?
3, 19, 419, 1021
What are the prime factors of 1200985749?
3, 133442861
List the prime factors of 688249946.
2, 61, 5641393
What are the prime factors of 137762435?
5, 193, 142759
List the prime factors of 12955408.
2, 223, 3631
List the prime factors of 81199781.
13, 43, 145259
What are the prime factors of 338134119?
3, 112711373
List the prime factors of 12040133.
7, 29, 37, 229
What are the pr | {
"pile_set_name": "DM Mathematics"
} |
econd biggest value in -1/9, v, l?
l
Let y = 4 + -6. Let r be 15/(-20) - y/(-8). What is the third smallest value in 7, 0.1, 2/11, r?
2/11
Let q(l) = -l**3 - 23*l**2 - 41*l + 26. Let m be q(-21). Let y be m/(90/228) + (-4)/6. Which is the second smallest value? (a) 1 (b) y (c) 0.1 (d) -2
c
Let a = 76 + -76.1. What is the second biggest value in a, 4/31, -1/2?
a
Let f = 4 - 4.3. Let r = f + 5.3. Let u = 147 + -146.6. Which is the second biggest value? (a) r (b) -0.1 (c) u
c
Let c = 0.76 + -1.2. Let w = c + 0.14. Let y = w - 0. What is the smallest value in 0.3, -5, y?
-5
Let r = 79.4 - 76.4. What is the biggest value in -33, -0.4, r?
r
Let n = 538 + -533. Let y = 7.7 - 8. Which is the third biggest value? (a) 0.2 (b) n (c) y
c
Let m be 6 + (-16)/3 - 1. Which is the fourth biggest value? (a) 1/65 (b) 1 (c) -2/11 (d) m
d
Let c(y) = y**2 + 6*y - 10. Let t be c(-7). Let x = -619/2142 - -1/306. What is the biggest value in t, x, 2?
2
Let u = -5 + 8. Let m = -0.372 - 0.628. What is the fourth smallest value in u, m, 1/6, 0.4?
u
Let t = -123 + 125. What is the third smallest value in t, 1/78, -1?
t
Let g = 1.483 - 0.483. What is the second biggest value in -4/3, -0.02, -3, g?
-0.02
Let z = -411 + 492. What is the second smallest value in 2, -3, z, 1/4?
1/4
Let o = 0.224 + 0.006. Let v = 0.17 + o. Let m = 0.1 - -0.4. What is the third smallest value in v, 1/7, m?
m
Let g be 24/(576/(-60)) - (0 - 3). What is the second biggest value in -2/131, g, -0.1?
-2/131
Let k(v) = -v**2 - 7*v - 2. Let i be k(-7). Let d be 87 - ((5 - 1) + i). Let a = d + -423/5. What is the second smallest value in 0.5, 3/2, a?
0.5
Let f = -5 - 37. Let w = -43 - f. Which is the biggest value? (a) w (b) 0.13 (c) 0.1
b
Let i(y) = 5*y**2 - 3*y**2 - 37 - 23*y - 3*y**2 + 0*y**2. Let h be i(-21). Which is the smallest value? (a) -0.4 (b) -1 (c) h (d) -0.2
b
Let h = -324 - -329. Which is the second biggest value? (a) 3 (b) -1.1 (c) h (d) -1
a
Let k = -2 + 13. Let o = 15 - k. Which is the third biggest value? (a) 2/5 (b) -3/2 (c) o
b
Let u = 17 - 16.3. Let l = u - 11.7. What is the smallest value in -5, 0, l?
l
Let u(s) = -6*s + 9. Let l be u(4). Let h = l - -20. Let g = 1 - -1. Which is the second biggest value? (a) 2/3 (b) h (c) g
c
Let z = 42.094 - 0.094. Let x = -46 + z. Which is the third biggest value? (a) 0.1 (b) -2/7 (c) x
c
Let s = 10 + 0. Let r = 9.6 - s. Let q = 0.89 + 0.11. Which is the smallest value? (a) -4 (b) r (c) q
a
Let v = 0.066 - 0.03. Let n = v + 0.064. Which is the fourth smallest value? (a) -3 (b) -0.4 (c) 8 (d) n
c
Suppose -60 = 5*h - 5*g, 0 = -2*h + 5*g - 364 + 322. Let c = -0.11 - -0.1. What is the biggest value in h, c, 5?
5
Let b = 675 + -670. What is the smallest value in -1/2, b, 1, 3?
-1/2
Let s = 475.7 - 476. Which is the biggest value? (a) -0.08 (b) s (c) -1/2
a
Let r = -698 + 677. What is the second smallest value in -2/3, -4, -2/5, r?
-4
Let i = -6 + -16. Let l = i - -22. Let s be (20/14)/(-5) + l. Which is the biggest value? (a) -1/4 (b) s (c) -0.4
a
Let z = 16.64 - 4.64. Which is the third biggest value? (a) 5/2 (b) z (c) -1
c
Let d = -1.7 - -1.5. What is the smallest value in 2/15, -1/9, d?
d
Let l = -303/388 + 3/97. Let i = -12.9 + 12. Let q = i + -2.1. Which is the third smallest value? (a) q (b) l (c) 0.03
c
Let y be (-1 - -3)*2/(-6). Let h = -1.3 + 1.2. Let z = 6 - 2. What is the third smallest value in y, z, h?
z
Suppose 0 = -a - 2*m, -2*a = 11*m - 6*m. What is the second biggest value in a, 2, 6?
2
Let p = -28.8 + 28.8. What is the fourth smallest value in p, 18/5, 5, 1/5?
5
Let z = 1/40 + -3/20. Let m = 16.83 + -17.13. What is the smallest value in -1, z, m?
-1
Let i = 0.2 + 0.1. Let z = 0.5 - i. Let a = -316.2 - -316. What is the third smallest value in a, -0.1, z?
z
Let o = 38.9 - 38.4. Suppose 0 = v + 4*v + 25. Which is the biggest value? (a) -4 (b) o (c) v
b
Let w be 26/(-8) - -3 - (-34)/72. What is the second biggest value in w, -0.03, 0.5, -3?
w
Let y = 64 - 68. What is the second smallest value in 0.47, y, 0.4, 4?
0.4
Let g = 249 - 3733/15. Let x = -15 - -20. What is the biggest value in 3/7, g, -1, x?
x
Let r = 14 - 10. Let m = r - 18. Let u = m - -13. What is the third biggest value in 0.5, 2, u?
u
Let x = -60.032 - -60. Let l = -4.968 + x. What is the smallest value in 2, l, 3?
l
Let i = 6 - 4.3. Let t = i + 0.3. Let c = 210.1 - 210. What is the second biggest value in c, 7, t?
t
Let x(c) = c**3 + c**2 - c + 5. Let r be x(0). Let q = 785 - 782. What is the second smallest value in r, -3, q, 4/3?
4/3
Let d = -0.05 - 79.95. Let j = 75 + d. Let n = 6.5 + -0.5. Which is the third biggest value? (a) j (b) 5 (c) n
a
Let g be (166/54 - 2) + -1. Let l = 8 + 50. Let d = l - 56. Which is the third smallest value? (a) d (b) -2 (c) g
a
Let y(l) = -5 - l - 3*l + 14*l**2 - 15*l**2. Let o be y(-5). Let w be (-2)/(-5)*o/6. Which is the second smallest value? (a) 0.5 (b) w (c) -2/7
c
Let o = -4.582 + 1.582. What is the biggest value in 0.488, o, -0.1?
0.488
Let h = 16/45 - 5/9. Let o = -21.8 - 3.2. Let w = o + 25. Which is the biggest value? (a) -4 (b) h (c) w
c
Let r = -111 - -175. Let w = r - 39. Let d = 24 - w. Which is the third smallest value? (a) -0.2 (b) -2/9 (c) d
a
Let k = -714 - -703. Which is the biggest value? (a) 3 (b) 15 (c) k
b
Let p = 27 - 23. Let g = -668/7 + 96. Which is the third smallest value? (a) p (b) g (c) 3
a
Suppose 0 = 368*z - 377*z + 108. What is the second smallest value in -0.06, z, -0.07?
-0.06
Let i = 1.339 + -8.709. Let k = -0.13 + i. Let z = -8 - k. What is the smallest value in -2/7, 0.1, z?
z
Let n = -814 + 815. Which is the biggest value? (a) -2/9 (b) 0.4 (c) n (d) -8
c
Let d = 68.7 - 68.59. What is the third smallest value in 4, -1, d?
4
Let l = -1010.7 + 961. Let f = l + 50. Let w be 3/6 + 3/(-14). Which is the third smallest value? (a) w (b) f (c) -1/7
b
Let x = 1.93 + 0.07. Let g = -0.78 - -1. Let n = g - 0.12. Which is the smallest value? (a) n (b) 3/5 (c) x
a
Suppose 2*h + 16 + 8 = 0. Let i = 14 + h. Suppose -3*k + i = -2*k. What is the smallest value in k, 0, -8?
-8
Let g = -734 - -3669/5. Which is the fourth biggest value? (a) 0.07 (b) g (c) -1/32 (d) 0.1
b
Let v = -57 + 85. Let a = -59/2 + v. Let m = 12.8 - 15.8. What is the biggest value in a, -1, m?
-1
Let k(m) = -25*m**2 + 3*m. Let j be k(-3). Let o be ((-6)/(-4))/(j/(-24)). Let z = 1 + -4. What is the biggest value in o, 4/3, z?
4/3
Let n = 0.0061 + 1.9939. What is the smallest value in 5, 0.2, 4, n?
0.2
Let f(c) = -c**3 - 12*c**2 - 10*c + 15. Let k be f(-11). Suppose k = y - 11. What is the fourth biggest value in y, -1, 3, 0.2?
-1
Let f = -0.03 + 2.03. Let l = 55/9 - 37/6. Let z(d) = d**3 + 6*d**2 + 9*d + 3. Let x be z(-4). Which is the second biggest value? (a) x (b) f (c) l
c
Suppose 24 = -17*p + 41*p. Which is the fourth smallest value? (a) -2 (b) p (c) -57 (d) 2/7
b
Let u be (-9)/(-3)*6/9. Let l(j) = 4 - 12 + 2*j + u*j - 6*j. Let k be l(-7). What is the second smallest value in -3, 0.4, k?
0.4
Let u = 523.9 + -468. Let f = u - 56. Which is the second biggest value? (a) 2 (b) -4 (c) f
c
Let a = 42.3 - 39. Let f = -3.2 + a. What is the biggest value in 0.2, f, -4?
0.2
Let f = -133.061 + 133. Let k = f - -0.561. What is the second smallest value in 1, -2/13, k?
k
Let g = 1.04 + -0.04. Let k = 154.7 - 155. Which is the second smallest value? (a) g (b) k (c) 5 (d) -2/9
d
Let l = -33.4 - -33. Let i = l - -0.5. What is the second biggest value in 1, i, -0.2?
i
Let x = -85 + 41. Let d = -44.23 - x. Let q = 4.77 - d. What is the second biggest value in q, -0.5, -0.1?
-0.1
Let h = 1848.81 + -1840. Let q = h + 0.19. Let o = q - 10. Which is the third smallest value? (a) 0.5 (b) -0.3 (c) o
a
Let i = 618.2 + -618. What is the third biggest value in 2/7, 1, 1/24, i?
i
Let u = 0.18 + -8.18. Let c = -7.94 + -0.06. Let m = c + 7. What is the smallest value in u, -3, m?
u
Let n = 38.14 - 38. Let d = 0.64 - n. What is the third smallest value in 3, d, -0.3, 4?
3
Let k = -49 + 49.5. Which is the second biggest value? (a) -1 (b) -0.6 (c) k
b
Let j = 29 - 17. Let q = -16555 + 16556. Let w(d) = -d**3 + 3*d**2 - 3*d. Let z be w(2). Which is the second bigg | {
"pile_set_name": "DM Mathematics"
} |
ence csc?
4/35
Three letters picked without replacement from {q: 2, a: 2, u: 1, k: 1, r: 1, i: 2}. Give prob of sequence qiq.
1/126
Two letters picked without replacement from {a: 4, h: 3, g: 1, w: 1, b: 3, l: 3}. Give prob of sequence al.
2/35
Calculate prob of sequence lhs when three letters picked without replacement from hhghhfhsshlhhhghsfss.
5/684
Four letters picked without replacement from jzhzzzzzzpoojz. Give prob of sequence zjzj.
2/429
Two letters picked without replacement from {y: 1, m: 1, e: 1, v: 1, a: 2, q: 8}. Give prob of sequence qm.
4/91
Calculate prob of sequence cwic when four letters picked without replacement from fwccwwfwpwwwwwvvwwi.
11/46512
Four letters picked without replacement from qcccqqqccrrrqr. What is prob of sequence crrc?
10/1001
What is prob of sequence sss when three letters picked without replacement from {s: 10, a: 2}?
6/11
Four letters picked without replacement from twwkkktllkkkwklkwlkk. Give prob of sequence wwwl.
4/4845
Three letters picked without replacement from hvhsslsoohhhoi. Give prob of sequence hiv.
5/2184
What is prob of sequence mm when two letters picked without replacement from eemmmmpqmmmemmemmme?
22/57
Calculate prob of sequence rz when two letters picked without replacement from {a: 3, z: 8, r: 2, j: 6}.
8/171
Three letters picked without replacement from {d: 1, h: 1, l: 2, r: 1, v: 2}. What is prob of sequence ldr?
1/105
Three letters picked without replacement from vjjvvyjlqvjvjyvv. What is prob of sequence vvv?
1/16
Calculate prob of sequence qq when two letters picked without replacement from qhhqqqqhhqhq.
7/22
Two letters picked without replacement from {x: 1, q: 1, l: 3, h: 1, w: 1}. Give prob of sequence wq.
1/42
Three letters picked without replacement from gogggggoggggoogo. Give prob of sequence ogo.
11/168
What is prob of sequence hmhm when four letters picked without replacement from {y: 9, h: 3, m: 4}?
3/1820
What is prob of sequence uk when two letters picked without replacement from {k: 1, i: 1, u: 2, x: 1, r: 1, v: 2}?
1/28
What is prob of sequence cz when two letters picked without replacement from {o: 2, x: 2, i: 1, z: 2, c: 1}?
1/28
What is prob of sequence rw when two letters picked without replacement from {w: 3, x: 4, r: 1, d: 5}?
1/52
Calculate prob of sequence pwww when four letters picked without replacement from ccwywcccpwcycywcycc.
1/3876
Calculate prob of sequence gksq when four letters picked without replacement from ggssqsqsssk.
1/330
Two letters picked without replacement from kkkkmmmwxik. What is prob of sequence ix?
1/110
What is prob of sequence wct when three letters picked without replacement from {a: 3, t: 4, n: 3, c: 2, w: 4}?
1/105
Calculate prob of sequence vpgl when four letters picked without replacement from whvwgvwlpwggvvg.
2/4095
What is prob of sequence vu when two letters picked without replacement from {v: 2, c: 2, u: 1, s: 5, k: 2, n: 2}?
1/91
What is prob of sequence sy when two letters picked without replacement from {s: 1, y: 1, t: 1}?
1/6
Calculate prob of sequence me when two letters picked without replacement from {e: 3, x: 4, i: 1, a: 1, m: 2, n: 1}.
1/22
Three letters picked without replacement from hhpysjyg. What is prob of sequence yyh?
1/84
Calculate prob of sequence ppss when four letters picked without replacement from {s: 3, f: 1, p: 12}.
33/1820
Three letters picked without replacement from {h: 11, p: 3}. Give prob of sequence ppp.
1/364
Calculate prob of sequence qo when two letters picked without replacement from {k: 1, f: 1, o: 1, q: 2, v: 4}.
1/36
Three letters picked without replacement from {o: 1, f: 1, x: 2, k: 2}. Give prob of sequence xok.
1/30
What is prob of sequence gert when four letters picked without replacement from {u: 1, r: 2, e: 1, g: 1, t: 2, w: 1}?
1/420
What is prob of sequence uii when three letters picked without replacement from euii?
1/12
Calculate prob of sequence adk when three letters picked without replacement from daekdwdmwwdaad.
5/728
Three letters picked without replacement from rtiittairtizoo. Give prob of sequence rza.
1/1092
Calculate prob of sequence gm when two letters picked without replacement from mgm.
1/3
What is prob of sequence oo when two letters picked without replacement from uouuuuouu?
1/36
What is prob of sequence ss when two letters picked without replacement from tssskts?
2/7
Three letters picked without replacement from nbwbwwnbbnnbwwnwww. What is prob of sequence bbb?
5/408
Calculate prob of sequence zzzz when four letters picked without replacement from {v: 1, o: 5, z: 8, c: 2}.
1/26
Three letters picked without replacement from {q: 1, u: 1, j: 1}. What is prob of sequence uqj?
1/6
Three letters picked without replacement from wnoovewww. Give prob of sequence von.
1/252
Four letters picked without replacement from fttttrftrftfttrfrtta. Give prob of sequence rart.
1/969
What is prob of sequence pp when two letters picked without replacement from pypppppppyytpppp?
11/20
Three letters picked without replacement from pbbppbbbbppbbppbbpp. Give prob of sequence bpp.
40/323
Two letters picked without replacement from {i: 7, t: 12}. What is prob of sequence ii?
7/57
What is prob of sequence eek when three letters picked without replacement from ekkkkwewkwwwwkwwkkk?
1/323
Two letters picked without replacement from llxllklllllllll. Give prob of sequence xl.
13/210
Calculate prob of sequence dit when three letters picked without replacement from {i: 1, d: 2, k: 2, t: 1}.
1/60
What is prob of sequence tuu when three letters picked without replacement from uuuufufdefuudtuw?
1/60
Two letters picked without replacement from {s: 3, e: 2, t: 2, c: 2}. Give prob of sequence ct.
1/18
Two letters picked without replacement from dpddpddp. What is prob of sequence dd?
5/14
Calculate prob of sequence itfi when four letters picked without replacement from {t: 1, f: 2, i: 11}.
5/546
Four letters picked without replacement from {h: 4, j: 1, q: 1, z: 4}. What is prob of sequence hqhj?
1/420
Calculate prob of sequence ao when two letters picked without replacement from ozokvma.
1/21
What is prob of sequence aarb when four letters picked without replacement from {r: 1, b: 2, a: 2}?
1/30
Calculate prob of sequence hoex when four letters picked without replacement from {o: 4, w: 1, x: 3, k: 7, h: 1, e: 2}.
1/3060
Three letters picked without replacement from {c: 2, o: 1, y: 1, t: 4, s: 6, g: 1}. Give prob of sequence ssc.
2/91
What is prob of sequence tftf when four letters picked without replacement from {f: 6, t: 4}?
1/14
Two letters picked without replacement from {j: 2, f: 1, t: 4, u: 1, r: 9}. Give prob of sequence ft.
1/68
Two letters picked without replacement from ppgj. What is prob of sequence pp?
1/6
Two letters picked without replacement from {d: 2, q: 10}. What is prob of sequence qd?
5/33
Two letters picked without replacement from fzfzhfhhzzfzhh. What is prob of sequence hz?
25/182
What is prob of sequence vbv when three letters picked without replacement from {o: 2, p: 1, b: 7, n: 7, v: 3}?
7/1140
Calculate prob of sequence jnn when three letters picked without replacement from nnnjnjjnjjjjnn.
7/52
Two letters picked without replacement from mbmmmmmmmmmmmmmmmm. What is prob of sequence bm?
1/18
What is prob of sequence eeee when four letters picked without replacement from xxeexjjjejexjj?
1/1001
Three letters picked without replacement from {z: 5, q: 5, f: 1, r: 1, h: 1, d: 4}. Give prob of sequence ddr.
1/340
What is prob of sequence rlrk when four letters picked without replacement from {w: 1, k: 1, r: 4, l: 10, m: 4}?
1/969
What is prob of sequence wtw when three letters picked without replacement from ptppppppppwtpppwpppt?
1/1140
Two letters picked without replacement from {i: 1, g: 2, b: 1, a: 4, h: 1, t: 3}. Give prob of sequence ta.
1/11
Two letters picked without replacement from oxefdddfoof. What is prob of sequence dx?
3/110
What is prob of sequence yd when two letters picked without replacement from {y: 1, o: 1, u: 1, d: 1, z: 5}?
1/72
Two letters picked without replacement from ocsmmks. What is prob of sequence ck?
1/42
What is prob of sequence sp when two letters picked without replacement from {h: 1, w: 1, o: 3, s: 1, f: 5, p: 6}?
3/136
Calculate prob of sequence dd w | {
"pile_set_name": "DM Mathematics"
} |
2*j**2 - 4*j**2 - j**2 - j + j + (-6*j + j + 4*j)*(-2*j + 0*j + 0*j).
-2*j**2 + 17
Expand (-15*m**4 - 33*m**4 + 75*m**4)*(-1 + 3*m + 1)*((2 + 0 - 3)*(1 - 2 + 0) + (2 + 3 - 4)*(4 + 3 - 6)).
162*m**5
Expand ((-1 + 1 + g)*(-3 + 0 + 1) - 2*g - 2 + 2)*(-3*g + 5*g + 4*g).
-24*g**2
Expand (3*h**2 + 0*h + 0*h)*(h + h + h)*(-10 + 2 - 2).
-90*h**3
Expand (-a + 0 + 0)*(0 + a**4 + 0) + 2*a**5 + 2*a**5 - 5*a**5 + (21*a - 21*a - a**2)*(-a**3 + a**3 + 3*a**3).
-5*a**5
Expand (-2 + 0 - 3)*(3*p**2 - 5*p**2 + 0*p**3 - 4*p**3).
20*p**3 + 10*p**2
Expand (2*x**3 + 4*x**3 - 3*x**3)*(3 - 3 + x) + x**4 + 1 - 1 + (-x**4 - 2*x**4 + 2*x**4)*(1 + 1 - 4) - 4*x**4 + 0 + 0.
2*x**4
Expand u**2 - u**2 + u**2 + (3*u + u - 2*u)*(2*u - 2*u - 2*u) - 2*u**2 - u**2 + 2*u**2 - 1 - 2*u**2 - 24*u + 1.
-6*u**2 - 24*u
Expand (3 + g**2 - 3)*(0 - 5 + 4)*(3 - 2 - 3)*(-9*g - 6*g + 9*g).
-12*g**3
Expand (r + r + 0*r)*(1 - 3 + 0 - 3 - 3 + 7 - 1 - 2 + 4 + (2 + 1 - 2)*(-5 + 2 + 2) - 2 + 1 - 3).
-10*r
Expand (2 - 14 - 1)*(-2*p**3 + 2*p**3 - 2*p**3).
26*p**3
Expand (1 - 3 + 1)*(3*f**2 - 4*f**2 - f**2 + f - 2).
2*f**2 - f + 2
Expand (0 + 4 - 3)*(6*d - d - 8*d) + 15*d - 14*d - 20*d.
-22*d
Expand (2*d**2 - 4*d**2 - 3*d**2)*(-16 + 12 + 7).
-15*d**2
Expand (2*m**3 - 4*m**3 + m**3)*(-2 - 5*m + 2 + (2*m - 2*m + m)*(1 - 2 + 3) - 3*m + 4*m - 3*m).
5*m**4
Expand 5*l**4 + 8*l - 8*l + (l**2 - 2*l**2 + 0*l**2)*(6*l**2 - 2*l**2 - l**2) + l**4 + 0*l + 0*l.
3*l**4
Expand (-4 - 3 - 3*i + 8)*(-5*i**2 + i**2 + 2*i**2).
6*i**3 - 2*i**2
Expand 3*r**5 + r**5 + r**5 + (6*r**3 - 2*r**3 - 3*r**3)*(-r**2 + 5 - 5) - 2*r**3 + 2*r**5 + 2*r**3.
6*r**5
Expand (8*s - 19*s + 6*s)*(0 - 2 + 3).
-5*s
Expand (-4*n + n + 4*n)*(1 - 1 - 3*n)*(-2 - 1 + 6)*(2*n - 5 + 5).
-18*n**3
Expand 6*u**3 + 2*u**3 - 3*u**3 + 0*u**3 - 2*u**3 + u**3 - 3*u + 3*u - u**3 + 0*u + 0*u - u**3 + (4*u**3 - u**3 - 5*u**3)*(4 - 5 + 3).
-2*u**3
Expand (0*y + 4*y - 3*y)*(-3*y + y + 1 + 1) + (y + 0 + 0)*(-2*y - y + 4*y).
-y**2 + 2*y
Expand (-1 + 0 - 1)*(-3*l - 2 + 2*l + 0*l).
2*l + 4
Expand (3*w**2 - 6*w**2 - 3*w + 5*w)*(-17*w**2 + 2*w**2 - 3*w**2) - 3*w**4 + 0*w**3 + 0*w**3 + (0*w - 2*w + 4*w)*(2*w**2 - 2*w**2 - w**3).
49*w**4 - 36*w**3
Expand (3*z - 3*z - 4*z + (-3 + 1 + 1)*(-2*z - 2*z + 6*z))*(6 + z**2 - 6 + z + z**4).
-6*z**5 - 6*z**3 - 6*z**2
Expand (2 - 6 + 3 + (-1 + 1 + 1)*(-5 + 5 + 2) + 2 + 1 - 1)*(a**4 + 2*a**5 - a**4).
6*a**5
Expand -h**2 - 3*h**2 + h**2 + (4*h + h - 4*h)*(-3*h + 3*h - h).
-4*h**2
Expand (-2*m - 3*m + m)*(2 + 1 + 2).
-20*m
Expand (g - 5*g + 2*g)*((-7 + 3 + 2)*(0 - 12 + 0) + 1 - 2 - 1).
-44*g
Expand (-1239*o**2 + 1239*o**2 + 48*o**4)*(-o + 6*o - 3*o).
96*o**5
Expand (3*j**2 + j**3 - 3*j**2)*(3*j - 4*j - j - 2*j + 2*j + j + (-2*j + 5*j - 4*j)*(-2 - 2 + 6) + 3*j - 5*j + 3*j).
-2*j**4
Expand (-3*b**2 - 3*b**2 + 11*b**2 + 2*b**2 - b**2 + 0*b**2 + (1 + 2 - 2)*(1 + b**2 - 1) + 0*b**2 - 4*b**2 + 7*b**2)*(2*b + 3*b - 3*b).
20*b**3
Expand (-s - 2 + 2)*(-3*s**2 + 2 - 2) - 1 + 1 - s**3 + (-2 + s + 2)*(4*s**2 - 5*s**2 + 3*s**2).
4*s**3
Expand (9 - 34 + 6)*(q**2 + 0*q**2 - 2*q**2).
19*q**2
Expand (-9*r**2 + 0*r**2 + 2*r**2)*(0 + 0 + 3*r) + 2*r**3 + r**3 - r**3.
-19*r**3
Expand -6*l + 4*l + 4*l + l - 1 + 1 + (3*l - 2*l - 3*l)*(5 - 4 + 1) + 73*l - 142*l + 37*l.
-33*l
Expand (-f + 4*f - 4*f)*(2 - 2 - 1 + 0 + 2 + 0 + (1 + 0 + 0)*(1 + 0 - 2) - 4 + 6 - 1 - 3 + 6 - 1).
-3*f
Expand (0 + 0 + 2)*(4*j + 5*j + j).
20*j
Expand (-4*p + 5*p - 7 + 0*p)*(2 - p**4 - 2).
-p**5 + 7*p**4
Expand (-16*t**3 + 27*t - 1 - 7*t**3 + 21*t**3)*(0*t**2 - 3*t**2 + t**2).
4*t**5 - 54*t**3 + 2*t**2
Expand (f - 3 + 3)*(78 + 87 - 46 + 59).
178*f
Expand 3*k + k**2 - 3*k - 1 + (-11*k**2 + 11*k**2 - 6*k**2)*(3 + 1 - 3).
-5*k**2 - 1
Expand 2*j**3 - j**3 - 2*j**3 + (-j + 0 + 0)*(-2*j - 2*j**2 + 2*j) + 2*j**3 - 2 + 2 + 3.
3*j**3 + 3
Expand (-17*p**2 + 4 - 18 + 12)*(-3*p**3 - p**3 + 5*p**3).
-17*p**5 - 2*p**3
Expand (3*w**2 + w**2 - 3*w**2)*(-w - 3 + 3) - w**2 - 2*w**3 + 4*w**3 + 13*w**2.
w**3 + 12*w**2
Expand (-1 + 2*n + 1)*(n + 1 - 1) + 0*n + 0*n + 3*n**2 - 3*n + 3*n - 2*n**2.
3*n**2
Expand (-1 + 1 + j**2)*(-2*j - 2*j + 3*j) + 2 - j**3 - 2 + j**3 - 2*j**2 + 2*j**2.
-j**3
Expand (-4*i + i + 2*i)*(-1 - 2 + 1)*(0*i**4 - 3*i**4 + 2*i**4) - 8837*i**2 - 119*i**5 + 8837*i**2.
-121*i**5
Expand (15 - 7 + 2*i - 5)*(3 - 5 + 1).
-2*i - 3
Expand (-4 - 11 + 8)*(6 - 3 - 1)*(-1 - 4 + 4)*(2 - 2*v**2 - 2).
-28*v**2
Expand (2 - 1 + 2)*((0*s**3 + s**3 + 0*s**3)*(-4*s + 2*s + 3*s) + 3*s**4 + 0*s**4 - s**4 + (-4 + 4 + 1)*(-s**4 + 3*s**4 - s**4)).
12*s**4
Expand 0*g + 0*g + g + (-2 + 1 + 4)*(2 + g - 2) + 2*g + g - g + 1.
6*g + 1
Expand (-5 + 4 - 1 + 1 - 3 + 3 + (3 - 4 + 0)*(0 - 1 + 0) + (1 + 2 - 1)*(1 + 0 - 3))*(6*z - 2*z + 6*z).
-40*z
Expand (-k + 2*k + k - 6*k - k + 2*k + (3*k - 4*k + 0*k)*(-2 + 1 + 3) + (-1 - 1 + 0)*(-4*k + 3*k + 3*k) + k + 5*k - 4*k)*(0 + 3 - 7).
28*k
Expand (0*x - 2*x + 3*x)*(-4 + 0 + 2)*(7 - 2 - 1).
-8*x
Expand (-f**4 - 2*f**2 - 146 + 283 - 2*f - 144)*(-5 + 3 + 0).
2*f**4 + 4*f**2 + 4*f + 14
Expand (-3 + m + 3)*(5 + 5 + 17).
27*m
Expand (2*q - 3*q - 3*q)*(-5*q**4 - 1 + 1) - 5*q + 5*q + 4*q**5.
24*q**5
Expand (-8 - 4*o + 8)*(4 - 3 - 3)*(-4*o + 6*o - 3*o).
-8*o**2
Expand (4*z - z - z)*(4*z + 5 - 1 - 5).
8*z**2 - 2*z
Expand (-38 + 38 - 28*m**2)*(-2*m - m + m).
56*m**3
Expand (3 + 0 + 1)*(0*v - 4*v + v)*(2 + 0 - 4).
24*v
Expand (-1 + 3 - 3)*(1 + 2*w**4 - 1) - 13*w**4 - 2*w + 0*w + 3*w.
-15*w**4 + w
Expand (1 - 7*j**2 + 12*j**2 + 6*j**2)*(-3*j**3 - 2*j**3 + 3*j**3).
-22*j**5 - 2*j**3
Expand (2*o - 2 + 2)*(-7*o**2 + 3*o**2 + 9*o**2).
10*o**3
Expand (-j + 5 - 5)*(-2*j + 0*j + j) + 4*j**2 + 2*j**2 - 4*j**2 - j**2 + 31*j**2 + 6*j**2.
39*j**2
Expand (-y**2 - 7*y**2 + 0*y**2)*(0 + 0 + 2) - y**2 + 4*y**2 - y**2 - 1 + 1 - y**2 + (0*y + 2*y**2 + 0*y)*(-3 - 1 + 5).
-13*y**2
Expand (-4*i + 2*i + 0*i)*(-18*i + 9 + 18*i - 2*i**4).
4*i**5 - 18*i
Expand -3*a + 2*a + 3*a + 3*a - 3*a - 2*a - a - 3 + 3 + (2 + 2 - 3)*(-6*a + a + 4*a) + 0 - a + 0 + 4*a - 4*a + 4*a.
a
Expand 0*x**3 + 2*x**4 + 0*x**3 - 17 + 17 - 2*x**4 - x + x**4 + 0*x**4 + x**4 + (x**3 - 5*x**3 + 2*x**3)*(2*x - x - 2*x) + 0*x**4 + 5*x**4 - 3*x**4.
6*x**4 - x
Expand (3*b - b + 0*b)*(5 + 2 - 5)*(-98*b + 0*b - 34*b).
-528*b**2
Expand (1 - 1 + 2*p)*(3*p**2 - 4*p**2 + 3*p**2) + (4*p + 12 - 5*p + 0*p)*(3*p - 3*p + p**2).
3*p**3 + 12*p**2
Expand (-3*l + 0*l - l)*(-1 + 5 - 1) - 3 + 6*l + l - l.
-6*l - 3
Expand (-l - l + 4*l)*(-4*l**3 - 3*l**3 + l**3) + (-5*l**2 + 0*l**2 + 3*l**2)*(l - l - 2*l**2).
-8*l**4
Expand ((0*u**2 + 0*u**2 + 2*u**2)*(0*u - 2*u + 0*u) - 1 - u**3 + 1 - 2*u**3 + 1 - 1 + 3*u**3 - 4*u**3 + 3*u**3)*(-9*u + 9*u - 5*u**2).
25*u**5
Expand (1 + 0 - 2)*(-3*w**3 + 2*w**2 - 2*w**2).
3*w**3
Expand (2*f**2 - 2*f**2 + f**3)*(-1 + 1 + f**2 + (-f + 3*f - 4*f)*(4*f + 3*f - 3*f)).
-7*f**5
Expand (6 - 10 - 3*x**2 - 4)*(0 - 2*x + 0).
6*x**3 + 16*x
Expand (-4 + 3 + 2)*(13*t - 13*t + 7*t) - 4*t + 3 - 3.
3*t
Expand -2*f**4 + 6*f**4 - 3*f**4 + (-6*f**2 - 8 + 8)*(-3*f**2 - 26 + 26).
19*f**4
Expand (-7*g**2 + 0*g + 0*g)*(3*g - 2*g + 10 - 14).
-7*g**3 + 28*g**2
Expand (c**2 + c**2 - 3*c**2)*(5*c - 5*c - 6*c**3)*(1 + 2 - 2).
6*c**5
Expand -151 + 10*g + 151 + 2*g - g + g + 0*g + 0*g + g + (0 + 4 - 3)*(-3*g + 2*g - g).
11*g
Expand (-1 + 1 - 2*r)*(3*r**3 + 0*r**3 - r**3) + (-5*r + 4*r + 3*r)*(-2*r**3 + 2*r**3 - 2*r**3).
-8*r**4
Expand -f**5 - f**2 + f**2 + (2*f**2 + f**2 - f**2)*(-2*f**3 - 3*f**3 - 8*f**3) + 0*f**5 + 0*f**5 - 2*f**5.
-29*f**5
Expand (4*l + 0*l - 2*l)*(-7 + 7 - 4*l)*(-2*l - 4*l + 4*l).
16*l**3
Expand (1 + 4 - 3)*(4*y**4 + 2*y**4 - 4*y**4 + (0*y**3 + y**3 - 3*y**3)*(-y - y + 0*y) + (3*y**3 + 4*y**3 - 5*y**3)*(3*y - 4*y - 3*y)).
-4*y**4
Expand (-u - u + 4*u)*(25*u - 286 + 286) + 3*u**2 + 3*u**2 - 7*u**2.
49*u**2
Expand ((5*o - 3*o - o)*(6*o - 3*o - 4*o) + 7 - 2*o**2 - 7)*(o - 1 + 1)*(3 + 1 - 2).
-6*o**3
Expand (2*m - 2*m**2 - 2*m + (3*m - 3*m + 2*m)*(2 - 2 - m))*(16 - 4 + 5)*(-6 + 5 + 3).
-136*m**2
Expand g**2 - 6*g**2 - 6*g**2 + (2 - 2 - 1)*(0 + 2*g**2 + 0).
-13*g**2
Expand (-s - 2 + 2 + 2)*(-2*s + 2*s - s**4).
s**5 - 2*s**4
Expand (4 - 3 + 4)*(1 - 1 - i) + 3*i + 4*i + 0*i.
2*i
Expand (3*r**3 - 3*r**3 + 3*r**3 + (1 + 0 - 2)*(-r**3 + r**3 - 2*r**3))*((0 + 0 - 1)*(-6 + 3 + 2) + 3 - 5 + 4).
15*r**3
Expand (0 - j + 0)*(3*j + 0*j - 2*j) + (-2*j**2 + 2 | {
"pile_set_name": "DM Mathematics"
} |
) = t**3 + 135*t**2 + 259*t - 706. What is b(-133)?
225
Let a(w) = 2*w**3 - 94*w**2 + 1139*w + 143. Determine a(14).
3153
Let n(v) = v**2 - 4249*v - 197543. Determine n(-46).
27
Let u(k) = k**3 - 12*k**2 - 143*k + 989. Calculate u(17).
3
Let t(q) = 3393*q - 139124. What is t(41)?
-11
Let v(y) = -15161*y + 363861. What is v(24)?
-3
Let x(p) = -2*p**3 - 24*p**2 + 610*p - 46. Give x(-23).
-2438
Let d(x) = 732*x + 12035. Determine d(-16).
323
Let l(c) = c**2 - 2009*c - 690093. What is l(-299)?
-1
Let y(r) = -2*r**3 + 76*r**2 - 323*r - 786. What is y(7)?
-9
Let l(m) = -68*m**2 + 63*m - 264. Give l(5).
-1649
Let h(v) = 5613*v - 21574. Give h(4).
878
Let o(x) = -7*x**3 - 1142*x**2 - 35700*x - 623. What is o(-121)?
-18
Let w(x) = -3*x**2 - 116*x + 533. Calculate w(4).
21
Let v(o) = o**3 + 450*o**2 + 2479*o + 309967. Calculate v(-446).
-3
Let h(k) = -1720*k**2 - 20638*k + 24. Calculate h(-12).
0
Let a(z) = 4*z**2 - 6340*z - 167535. Determine a(-26).
9
Let o(g) = -46758*g + 1402735. Determine o(30).
-5
Let k(g) = 182*g**2 + 39*g - 38. Calculate k(1).
183
Let s(u) = -5*u**3 + 41*u**2 - 59*u - 48. Determine s(6).
-6
Let s(m) = 189*m**2 - 486*m + 2047. Calculate s(4).
3127
Let x(b) = b**3 - 400*b**2 - 1662*b + 18596. Give x(404).
12
Let g(v) = -3899*v**2 - 35087*v + 23. Determine g(-9).
-13
Let h(i) = -111340*i - 668036. Give h(-6).
4
Let v(l) = -943*l**2 - 5494*l + 983. Determine v(-6).
-1
Let j(d) = -8*d**2 + 342*d + 5. Determine j(42).
257
Let i(g) = -g**3 + 170*g**2 - 4274*g - 853. Determine i(31).
232
Let y(p) = -138557*p + 138558. What is y(1)?
1
Let w(h) = 9228*h + 8678. Calculate w(-1).
-550
Let u(y) = -113*y + 17077. What is u(150)?
127
Let x(l) = l**3 - 921*l**2 + 209092*l - 1022. Determine x(515).
8
Let z(t) = -3*t**3 - 87*t**2 - 950*t - 7230. Determine z(-19).
-10
Let t(z) = 3*z**2 + 128*z - 282. What is t(-33)?
-1239
Let a(h) = -14023*h**2 + 28046*h - 8. Calculate a(2).
-8
Let o(m) = 2093*m**2 + 89998*m - 44. Determine o(-43).
-1
Let j(h) = 116*h + 9539. Determine j(-60).
2579
Let k(z) = -538*z - 859. What is k(-3)?
755
Let b(a) = -70*a**3 - 24*a**2 + 6*a + 12. Give b(-1).
52
Let a(p) = -1852*p + 837100. Give a(452).
-4
Let y(a) = -48042*a + 960838. Calculate y(20).
-2
Let p(z) = 10*z**3 + 82*z**2 + 1001*z + 7955. Determine p(-8).
75
Let o(w) = -w**3 - 4*w**2 + 210*w + 906. Determine o(-4).
66
Let m(r) = -1341*r - 47743. Determine m(-36).
533
Let w(t) = -2*t**3 + 110*t**2 + 2883*t - 5253. Calculate w(74).
1
Let v(p) = 15861*p - 47572. What is v(3)?
11
Let y(q) = -2*q**3 + 96*q**2 + 408*q + 465. Determine y(52).
49
Let z(k) = 4*k**2 - 23073*k - 3. Give z(0).
-3
Let b(n) = 5195*n - 877939. What is b(169)?
16
Let w(x) = -198881*x + 795508. Calculate w(4).
-16
Let n(q) = 4081*q - 13447. Determine n(3).
-1204
Let m(p) = 63*p**2 + 5415*p - 172. Calculate m(-86).
86
Let x(n) = n**3 - 7318*n + 29197. Give x(4).
-11
Let u(p) = -3*p**2 + 34*p - 12. What is u(12)?
-36
Let f(p) = -1840*p + 36776. What is f(20)?
-24
Let m(g) = -23*g**3 - 612*g**2 + 1556*g - 1128. Give m(-29).
3
Let h(t) = -466*t**2 + 10732*t + 97. Determine h(23).
419
Let f(l) = -l**3 - 772*l**2 + 116224*l + 634. Determine f(129).
-11
Let b(v) = -1001047*v + 7007294. Determine b(7).
-35
Let s(u) = -56*u**3 - 1848*u**2 + 21*u + 716. Calculate s(-33).
23
Let x(w) = -18*w**3 + 1746*w**2 + 21*w - 2172. Determine x(97).
-135
Let r(s) = 27*s + 6323. Calculate r(-238).
-103
Let j(l) = -l**2 + 24*l - 126. Determine j(7).
-7
Let l(p) = -1001*p - 32118. Determine l(-32).
-86
Let k(o) = 9*o**3 + 23*o**2 - 86*o - 265. Give k(-3).
-43
Let o(d) = 2*d**3 + 271*d**2 + 4233*d + 81. Give o(-18).
27
Let c(m) = -m**3 + 54*m**2 - 335*m + 42. Give c(46).
1560
Let x(l) = l**2 + 9124*l - 173923. Determine x(19).
-206
Let p(y) = 4*y**3 + 608*y**2 - 3782*y + 1593. Give p(-158).
13
Let m(j) = 75*j**3 + 45*j**2 - 129*j - 23. Give m(-2).
-185
Let o(w) = w**2 - 6376*w + 19132. Give o(3).
13
Let m(i) = 241*i + 13241. What is m(-55)?
-14
Let w(c) = -1589*c + 1090048. Determine w(686).
-6
Let g(o) = -o**2 - 17471*o + 87363. Determine g(5).
-17
Let j(w) = -316*w - 4706. What is j(-16)?
350
Let i(t) = -4*t**3 + 2*t**2 - 52*t - 671. What is i(-8)?
1921
Let v(s) = -8*s**3 - 265*s**2 - 38*s - 17. What is v(-33)?
148
Let i(n) = -4*n**2 + 931*n + 279. Give i(233).
46
Let y(s) = -16*s**2 + 1105*s + 2200. Calculate y(71).
-1
Let b(w) = -213*w - 839. What is b(-4)?
13
Let k(w) = -w**2 - 333*w - 26382. Determine k(-137).
470
Let o(t) = 2*t**3 - 143*t**2 - 3329*t - 196. Give o(90).
-106
Let f(x) = -x**3 - 291*x**2 - 2259*x + 28. Calculate f(-8).
-12
Let g(a) = -292*a - 2056. Determine g(-9).
572
Let q(u) = 190*u**2 + 4*u - 109. What is q(0)?
-109
Let g(s) = -156*s**2 + 56*s + 25. Determine g(0).
25
Let x(h) = 5*h**3 + 207*h**2 + 785*h - 1067. What is x(-37)?
6
Let k(v) = 23*v**3 + 11*v**2 + 187*v + 773. Give k(-4).
-1271
Let b(g) = 3*g**3 + 27*g**2 - 39*g - 139. Calculate b(-12).
-967
Let h(s) = 5*s**3 + 5*s**2 - 25*s - 30. Give h(-1).
-5
Let m(a) = a**3 - 133*a**2 + 1015*a - 935. What is m(7)?
-4
Let h(b) = -2*b**3 + 155*b**2 - 2863*b + 11. Determine h(31).
631
Let h(i) = -119*i**2 - 1282*i - 28. What is h(-11)?
-325
Let l(g) = -3*g**2 - 73*g + 226. Determine l(10).
-804
Let w(p) = 5763*p + 2760464. Calculate w(-479).
-13
Let l(i) = -33*i**2 + 70*i - 255. Give l(3).
-342
Let g(k) = 592*k - 17688. Give g(30).
72
Let j(t) = 1431378*t + 11451030. Determine j(-8).
6
Let h(j) = 153*j + 38275. What is h(-247)?
484
Let j(l) = -l**3 + 145*l**2 + 140*l + 915. Give j(146).
39
Let o(x) = -12073*x + 2173138. Give o(180).
-2
Let i(j) = -2*j**3 + 10*j**2 + 9*j - 69. What is i(8)?
-381
Let v(t) = -t**3 + 14*t**2 + 683*t - 67. Determine v(34).
35
Let r(z) = -1263*z + 318279. Calculate r(252).
3
Let g(m) = 8*m**2 + 792*m + 15639. Calculate g(-29).
-601
Let p(q) = 173*q**2 + 18334*q - 754. Determine p(-106).
-330
Let d(o) = -13*o**2 - 1112*o - 11113. Calculate d(-74).
-13
Let h(k) = -78168*k + 2814043. What is h(36)?
-5
Let c(b) = -4*b**3 - 37*b**2 + 19*b - 104. What is c(-10)?
6
Let u(j) = -7*j**2 - 1183*j - 29956. Give u(-138).
-10
Let y(a) = -13*a**3 - 2*a**2 + 17*a + 23. What is y(-4)?
755
Let h(p) = -3381*p + 20893. Give h(6).
607
Let r(p) = -4*p**3 - 123*p**2 + 149*p - 4889. Give r(-33).
-5
Let h(j) = 468675*j + 1874700. Calculate h(-4).
0
Let a(l) = -75*l**2 - 16124*l + 213. What is a(-215)?
-2
Let c(g) = 3*g**2 - 50*g - 461. What is c(-12)?
571
Let t(x) = 44198*x - 176872. Calculate t(4).
-80
Let a(g) = g**3 - 340*g**2 - 708*g + 9746. Determine a(342).
1538
Let y(u) = u**3 - 8*u**2 - 561*u + 2269. Calculate y(-22).
91
Let q(y) = 17844*y - 535329. Determine q(30).
-9
Let g(m) = 348*m**2 + 146*m + 283. Give g(-2).
1383
Let y(v) = 24*v**2 - 1561*v + 10956. Calculate y(8).
4
Let v(h) = -h**3 + 51*h**2 - 370*h - 119. Give v(10).
281
Let z(x) = 2*x**2 + 149*x - 13950. Give z(52).
-794
Let p(v) = v**3 + 31*v**2 + 227*v - 255. Calculate p(-17).
-68
Let j(h) = -11592*h + 150694. What is j(13)?
-2
Let o(q) = 65*q**3 - 6369*q**2 - 98*q - 38. Give o(98).
-38
Let o(j) = -174070*j + 870349. Give o(5).
-1
Let z(p) = -p**3 - 3*p**2 + 84*p + 324. Determine z(-6).
-72
Let x(s) = -s**3 - 600*s**2 + 1750*s + 178. Calculate x(3).
1
Let d(x) = -6930*x + 6946. What is d(1)?
16
Let m(w) = -531*w + 144427. What is m(272)?
-5
Let j(h) = 3*h**3 + 72*h**2 + 112*h - 82. Determine j(-22).
358
Let h(u) = 15327*u + 551771. What is h(-36)?
-1
Let g(z) = z**3 - 28*z**2 - 83*z + 183. Determine g(-4).
3
Let n(u) = u**3 - 108*u**2 - 153*u + 4816. Determine n(109).
20
Let d(n) = 68*n**2 + 214*n - 219. What is d(1)?
63
Let r(s) = s**3 + 163*s**2 + 2754*s + 361. Calculate r(-19).
19
Let x(c) = -21*c**2 - 1460*c + 4400. Calculate x(3).
-169
Let b(n) = -3*n**3 + 42*n**2 + 3524*n - 148. What is b(-28)?
-36
Let l(d) = -277*d + 22407. What is l(82)?
-307
Let d(i) = 139742*i - 2655129. Give d(19).
-31
Let w(o) = o**3 + 87*o**2 - 4139*o + 845. Calculate w(34).
-5
Let w(b) = b**2 - 124870*b - 2372886. Determine w(-19).
5
Let w(m) = 7213*m - 7862178. Give w(1090).
-8
Let r(a) = -6789*a + 135771. Determine r(20).
-9
Let c(u) = -35575*u**2 + 426808*u + 1099. What is c(12)?
-5
Let j(y) = -9511*y - 266324. Determine j(-28).
-16
Let z(l) = -5*l**3 - 280*l**2 - 799*l - 277. Calculate z(-53). | {
"pile_set_name": "DM Mathematics"
} |
is -11.416 rounded to the nearest 10?
-10
Round 0.681 to one dp.
0.7
What is 579.87 rounded to 0 decimal places?
580
What is 58067 rounded to the nearest one thousand?
58000
Round -10280 to the nearest one thousand.
-10000
Round 3556.3 to the nearest one thousand.
4000
What is -598603000 rounded to the nearest one million?
-599000000
What is -10.704 rounded to one dp?
-10.7
What is 0.000001024 rounded to 7 decimal places?
0.000001
What is -0.648 rounded to two decimal places?
-0.65
What is 3.7988 rounded to two dps?
3.8
What is 38.16 rounded to the nearest 10?
40
What is -122.96 rounded to 0 dps?
-123
What is -0.6816 rounded to two dps?
-0.68
What is -0.00013055 rounded to 5 decimal places?
-0.00013
Round -2224140 to the nearest 10000.
-2220000
Round 0.004953 to four decimal places.
0.005
What is -49.613 rounded to the nearest integer?
-50
What is -13075900 rounded to the nearest 1000000?
-13000000
Round 260.218 to the nearest ten.
260
Round -7859 to the nearest one hundred.
-7900
Round 33494000 to the nearest 1000000.
33000000
What is -0.00124 rounded to four decimal places?
-0.0012
Round -870000 to the nearest ten thousand.
-870000
What is -7769000 rounded to the nearest one hundred thousand?
-7800000
What is -0.00014433 rounded to 5 decimal places?
-0.00014
Round 12429000 to the nearest 1000000.
12000000
What is 934 rounded to the nearest one thousand?
1000
Round 0.02633 to 3 decimal places.
0.026
What is -10789000 rounded to the nearest one hundred thousand?
-10800000
What is 0.02334 rounded to 3 dps?
0.023
What is 6.251 rounded to 1 dp?
6.3
What is -2081000 rounded to the nearest one million?
-2000000
What is 1045.1 rounded to the nearest 100?
1000
Round -0.0000092463 to six decimal places.
-0.000009
What is -3055.26 rounded to the nearest 10?
-3060
Round 18.87 to one decimal place.
18.9
What is 917430 rounded to the nearest 10000?
920000
What is -0.0403198 rounded to 3 decimal places?
-0.04
What is 40.1 rounded to 0 decimal places?
40
What is 58.8 rounded to the nearest ten?
60
Round 0.039029 to 3 decimal places.
0.039
Round -119000 to the nearest ten thousand.
-120000
What is 966.9 rounded to the nearest 100?
1000
Round -0.557 to two dps.
-0.56
What is -0.020318 rounded to 3 dps?
-0.02
Round -0.000000516 to seven decimal places.
-0.0000005
What is 96.8 rounded to the nearest ten?
100
What is 0.80679 rounded to 3 decimal places?
0.807
Round -4311700 to the nearest 10000.
-4310000
Round -0.0000058932 to 7 decimal places.
-0.0000059
What is -39991 rounded to the nearest ten thousand?
-40000
What is -427.8 rounded to the nearest 100?
-400
What is 285 rounded to the nearest ten?
290
Round -2.2475 to the nearest integer.
-2
Round -0.00076069 to 4 decimal places.
-0.0008
Round 0.00011171 to six dps.
0.000112
Round -32220 to the nearest one thousand.
-32000
What is 0.00000922 rounded to 6 decimal places?
0.000009
Round -0.0000003679 to seven decimal places.
-0.0000004
Round -2.0595 to 2 decimal places.
-2.06
What is -205000 rounded to the nearest 1000?
-205000
Round -1584000 to the nearest 10000.
-1580000
What is 1217.9 rounded to the nearest 10?
1220
What is 63.68 rounded to the nearest 10?
60
What is -8290 rounded to the nearest 1000?
-8000
Round -0.00000411 to six decimal places.
-0.000004
What is -5804.2 rounded to the nearest 100?
-5800
Round -0.0020399 to five dps.
-0.00204
Round 1662400 to the nearest one hundred thousand.
1700000
What is 0.0059184 rounded to 5 decimal places?
0.00592
Round 0.0000006267 to seven decimal places.
0.0000006
What is -0.0016666 rounded to 5 decimal places?
-0.00167
Round -0.18488 to 1 dp.
-0.2
Round 80.87 to the nearest 10.
80
What is 0.09 rounded to 1 dp?
0.1
Round 17100000 to the nearest 1000000.
17000000
What is -4278000 rounded to the nearest 1000000?
-4000000
What is 34133000 rounded to the nearest one hundred thousand?
34100000
Round -97750 to the nearest 1000.
-98000
Round 0.00000166509 to 6 decimal places.
0.000002
What is 64.252 rounded to 0 dps?
64
What is 58.05 rounded to the nearest ten?
60
Round 0.0002902 to 5 decimal places.
0.00029
Round -458.2 to the nearest 100.
-500
Round -0.00159994 to five dps.
-0.0016
Round -687900 to the nearest 10000.
-690000
Round 0.001312 to 4 dps.
0.0013
Round 0.00002649 to six dps.
0.000026
What is 73538 rounded to the nearest one thousand?
74000
What is 0.000006649 rounded to seven decimal places?
0.0000066
Round 4.035 to the nearest integer.
4
Round -312.9 to the nearest ten.
-310
What is -450.1 rounded to the nearest one hundred?
-500
What is 0.00003305 rounded to six decimal places?
0.000033
Round -310.39 to the nearest ten.
-310
What is -190083 rounded to the nearest 1000?
-190000
What is 9503 rounded to the nearest one thousand?
10000
What is -7185500 rounded to the nearest 100000?
-7200000
Round 0.000141772 to 6 decimal places.
0.000142
What is -15508000 rounded to the nearest one hundred thousand?
-15500000
Round -0.000050097 to 5 dps.
-0.00005
Round 0.0000004252 to 7 decimal places.
0.0000004
Round -0.00001264 to seven dps.
-0.0000126
Round 0.0000090994 to seven decimal places.
0.0000091
What is -0.2543 rounded to one decimal place?
-0.3
What is 0.81 rounded to 1 decimal place?
0.8
Round 0.00076327 to four dps.
0.0008
Round 174.5 to the nearest one hundred.
200
What is 3.406 rounded to two decimal places?
3.41
What is 10.6523 rounded to 1 decimal place?
10.7
Round 0.021 to two dps.
0.02
What is -0.000003 rounded to seven dps?
-0.000003
What is 1763000 rounded to the nearest 100000?
1800000
Round 0.000057221 to 6 dps.
0.000057
What is 24285000 rounded to the nearest 100000?
24300000
Round 0.0025344 to 4 dps.
0.0025
Round -1481000 to the nearest one million.
-1000000
What is 0.04912 rounded to 2 dps?
0.05
What is -169.63 rounded to the nearest 100?
-200
What is -1117.1 rounded to the nearest 10?
-1120
Round 0.00003313 to five dps.
0.00003
What is 0.00058787 rounded to 4 decimal places?
0.0006
Round 1001000 to the nearest one hundred thousand.
1000000
Round 0.000284 to 5 dps.
0.00028
What is -0.0000001007 rounded to seven decimal places?
-0.0000001
Round 0.051343 to 3 decimal places.
0.051
Round -0.223 to 2 decimal places.
-0.22
Round 0.000017 to four decimal places.
0
What is 0.014831 rounded to three decimal places?
0.015
Round 0.0000107 to 5 dps.
0.00001
Round 0.000015937 to seven dps.
0.0000159
Round -0.002178 to three decimal places.
-0.002
Round -1970 to the nearest one hundred thousand.
0
Round -0.00000247 to six decimal places.
-0.000002
Round -22.676 to the nearest integer.
-23
Round 0.00123 to 3 dps.
0.001
What is 4.409 rounded to one dp?
4.4
What is 52720 rounded to the nearest 10000?
50000
What is 557000 rounded to the nearest 100000?
600000
What is -0.00227 rounded to 4 decimal places?
-0.0023
Round 0.000019649 to 6 dps.
0.00002
What is 20790 rounded to the nearest ten thousand?
20000
What is 849.5 rounded to the nearest 100?
800
Round -13664000 to the nearest 1000000.
-14000000
Round 6683000 to the nearest one hundred thousand.
6700000
Round -0.00000437 to six dps.
-0.000004
Round 3574.69 to the nearest 10.
3570
What is -20769 rounded to the nearest one hundred?
-20800
What is -26410 rounded to the nearest one thousand?
-26000
What is -0.21338 rounded to 2 dps?
-0.21
What is 0.0000226966 rounded to 6 dps?
0.000023
Round 0.00001688 to six decimal places.
0.000017
Round 5200000 to the nearest 1000000.
5000000
What is 50450 rounded to the nearest 1000?
50000
What is -0.056014 rounded to three decimal places?
-0.056
What is -0.0000568 rounded to five dps?
-0.00006
Round -0.00664617 to 5 decimal places.
-0.00665
Round 5313 to the nearest one hundred.
5300
Round -2487100 to the nearest one hundred thousand.
-2500000
What is -0.0000838 rounded to five decimal places?
-0.00008
What is 6.1 rounded to the nearest integer?
6
What is 0.0007232 rounded to five decimal places?
0.00072
What is -0.000123004 rounded to 7 dps?
-0.000123
Round -35753 to the nearest 1000.
-36000
What is -2.45 rounded to the nearest integer?
-2
Round 0.11147 to two dps.
0.11
Round 0.005574 to four dps.
0.0056
Round 0.0000032008 to 7 dps.
0.0000032
Round -11.7184 to 1 decimal place.
-11.7
Round 0.000525 to 4 dps.
0.0005
Round -786300 to the nearest one hundred thousand.
-800000
| {
"pile_set_name": "DM Mathematics"
} |
468 for o.
17
Solve 154*r - 51*r + 1602 - 74 = -88*r for r.
-8
Solve 30*d = -14*d - 136*d - 11*d + 11078 for d.
58
Solve 1590198 = -31*f + 1593856 for f.
118
Solve 88344*w - 21528 = 88620*w for w.
-78
Solve 218*j + 82*j + 62*j - 17142 = 3854 for j.
58
Solve -524*k + 54417 = 445*k - 376*k + 474*k for k.
51
Solve -1019*x + 579*x - 20680 = 0 for x.
-47
Solve 53*j + 239*j = 7008 for j.
24
Solve 0 = 5167*p - 5231*p - 2816 for p.
-44
Solve -845*u - 24900 = 357*u + 21978 for u.
-39
Solve 327*l - 79*l + 20670 = -362*l + 80*l for l.
-39
Solve 254*u + 5244 = 19063 + 1929 for u.
62
Solve 40727*f - 52871 - 13329 = 41389*f for f.
-100
Solve 222*s + 81788 - 84230 = 0 for s.
11
Solve -815*m + 1505*m - 3799 = 802*m + 1801 for m.
-50
Solve -81*r + 37179 = 38070 for r.
-11
Solve -3743 = 305*y - 9001 - 6942 for y.
40
Solve 17*a + 8 = 955 + 872 for a.
107
Solve -105439 - 33185 = -1302*t + 4190*t for t.
-48
Solve -76*z - 196922 + 198822 = 0 for z.
25
Solve 115703 = -455*h - 3530*h - 90169 - 69093 for h.
-69
Solve 1463*u + 1457*u = 2994*u + 1776 for u.
-24
Solve 55*a + 3524 + 2384 = -302*a - 3017 for a.
-25
Solve -1932 + 26398 = -941*k for k.
-26
Solve -811*y - 10600 = -546*y for y.
-40
Solve 604*n - 56872 = 9949 + 26799 for n.
155
Solve -4352*h - 500217 + 134649 = 0 for h.
-84
Solve -79*d = -1028*d - 746*d + 54*d - 91896 for d.
-56
Solve -898*j + 43414 = -8670 for j.
58
Solve -9353*h = -4672*h - 4678*h - 87 for h.
29
Solve 1360*v + 42794 - 151594 = 0 for v.
80
Solve -45*q + 5799 = -1978*q for q.
-3
Solve 199*i + 172*i - 478*i + 1070 = 0 for i.
10
Solve 0 = -269*i + 5*i - 148*i + 2540 - 20668 for i.
-44
Solve -84*w - 479 - 1621 = 0 for w.
-25
Solve -3547*p + 900 = 3575*p - 7158*p for p.
-25
Solve 8272*u - 32959 + 395173 = -159394 + 33560 for u.
-59
Solve -674*t - 29979 = -1336*t - 86249 for t.
-85
Solve 491 = -17*v + 107 - 364 for v.
-44
Solve 2656 + 22161 + 5385 = 350*t + 3952 for t.
75
Solve 4193*c - 2077*c + 192 = 2020*c for c.
-2
Solve 4054*p - 824912 = -14694*p for p.
44
Solve -3594*g - 164610 = -939*g for g.
-62
Solve -1909*i + 65108 = -845*i + 1129*i - 136648 for i.
92
Solve -133*l - 1081 = 1498 + 214 for l.
-21
Solve -146976 - 95934 = 2814*n - 115*n for n.
-90
Solve 2365*l - 2755*l + 7800 = 0 for l.
20
Solve -440*j - 14648 = 39*j - 27728 - 19492 for j.
68
Solve 2426*h + 192811 = 870*h - 548*h + 18179 for h.
-83
Solve -25610 = 1476991*r - 1477188*r for r.
130
Solve 86*h - 586 = -120*h + 147*h - 1648 for h.
-18
Solve -251*c - 127*c = -253*c + 4875 for c.
-39
Solve 0 = -120*t + 1295 + 989 + 693 + 263 for t.
27
Solve 6525 = 610*q + 7948 + 7774 + 18863 for q.
-46
Solve 0 = 60*w - 141847 + 141967 for w.
-2
Solve 2351 = -138*v + 143 for v.
-16
Solve -24361*t = -2423*t - 2830*t - 229296 for t.
12
Solve -60542*u + 86914 + 13004 = -61361*u for u.
-122
Solve -94*o - 2768 + 5118 = 0 for o.
25
Solve 1013 = -238*d - 2081 for d.
-13
Solve -87219*b = -87325*b - 9222 for b.
-87
Solve -467*x + 3240 = -21511 for x.
53
Solve -3611 + 63281 = -1224*h + 11934 for h.
-39
Solve -2324*w - 252*w = 23*w - 82356 - 255514 for w.
130
Solve -170*t - 1648*t = -118170 for t.
65
Solve -690*n + 22703 = -7552 + 585 for n.
43
Solve 547*d + 1147*d - 22090 = 40589 + 32185 for d.
56
Solve -577*y = -1556*y - 3150*y + 86709 for y.
21
Solve 823513*x + 378 = 823555*x for x.
9
Solve 110 - 422 = 135*j + 150*j - 297*j for j.
26
Solve -178*a - 3772 - 12434 + 1254 = 0 for a.
-84
Solve 0 = 29*b + 225043 - 225449 for b.
14
Solve -179*x + 121 = 356 - 5247 for x.
28
Solve -1693446 = 1028*m - 1626626 for m.
-65
Solve 27178 - 3610 = 982*f for f.
24
Solve 15*w + 1275 = -128*w + 4993 for w.
26
Solve -94*v - 874 + 987 - 993 = -14*v for v.
-11
Solve 846 = 141*y - 2809 - 998 for y.
33
Solve 191*h - 7122 = 6047 + 1591 - 1008 for h.
72
Solve 0 = -4121*z - 16337 - 70204 for z.
-21
Solve 150*x = -236044 + 241144 for x.
34
Solve 2044*t - 92358 = -1673*t + 46*t - 727*t for t.
21
Solve -29229*j - 3703*j - 3326132 = 0 for j.
-101
Solve -15351*z + 31000*z - 15375*z - 4932 = 0 for z.
18
Solve 3612*q - 216 = 3588*q for q.
9
Solve 1969*r - 25361 = 61275 for r.
44
Solve -281*r - 3136 - 12881 = 0 for r.
-57
Solve 19879 - 19515 = -28*w for w.
-13
Solve 234 + 266 + 52 = 8*b + 120 for b.
54
Solve 745*o - 43845 = -41*o + 140*o + 16233 for o.
93
Solve -1491*z = -462*z - 6920 - 29095 for z.
35
Solve 564*o + 959*o + 69738 = -9458 for o.
-52
Solve 3675 - 4533 = 39*d for d.
-22
Solve -10029*v + 20164*v = 10062*v + 1095 for v.
15
Solve -6499*h - 2178*h = 1992*h + 309401 for h.
-29
Solve -3106 - 2319 = -168*k + 13*k for k.
35
Solve 0 = -65*u - 178528 + 178463 for u.
-1
Solve -44*y + 703 = 175 for y.
12
Solve 36*q + 13021 = 485*q for q.
29
Solve -6401 = 1252*h - 1079*h for h.
-37
Solve -993367*j + 993287*j = 3360 for j.
-42
Solve 133*y - 143*y + 130 = 0 for y.
13
Solve 364044 - 321414 = -609*i for i.
-70
Solve -505*k - 55652 = -94537 for k.
77
Solve 114*x + 198 = -99*x + 235*x for x.
9
Solve 198*v + 1306*v = -33106 - 13747 - 11803 for v.
-39
Solve 55949*c - 149344 = 53077*c for c.
52
Solve 5456 = -2185*q - 3284 for q.
-4
Solve 0 = 1626*m - 810*m - 814*m + 99 - 19 for m.
-40
Solve 92*p + 4305 = 265*p - 5729 for p.
58
Solve -36*p + 25*p = 37*p + 4032 for p.
-84
Solve 0 = -936*s - 907*s - 16587 for s.
-9
Solve -405*b - 997*b - 46*b - 169029 = 1235*b for b.
-63
Solve -986*v = -14321 + 81369 for v.
-68
Solve -15583 + 15771 = 878*j - 103416 for j.
118
Solve 20403*s + 11508 = 20677*s for s.
42
Solve 2856*a = 960*a - 36024 for a.
-19
Solve -41*t = -45*t - 1157*t + 4936 - 45571 for t.
-35
Solve 120*x - 83 = -203 - 240 for x.
-3
Solve -22 + 1942 = 33*l + l + 288 for l.
48
Solve -6482*b + 547*b = 2658*b - 498394 for b.
58
Solve -174*a - 885 = -3176 - 9367 for a.
67
Solve -27*l - 238 = -45*l - 79 + 291 for l.
25
Solve 450 = -2198*b + 1973*b for b.
-2
Solve -3*k + 120*k + 3804 = -1812 for k.
-48
Solve -3620*p + 290*p - 1396*p = 1663*p - 645289 for p.
101
Solve 67*u - 271*u - 32640 = 200*u + 106*u for u.
-64
Solve 926566*n - 14818 = 926805*n for n.
-62
Solve 3959 = -110*i + 399 - 620 for i.
-38
Solve -1804*b + 1384*b + 39255 = 2197*b for b.
15
Solve -20*u - 10*u + 2168 = 1298 for u.
29
Solve -22506*u - 328032 = -25722*u for u.
102
Solve -1248*q + 208888 = 2667*q + 60118 for q.
38
Solve -52*g + 141*g = -4*g + 930 for g.
10
Solve 90*i - 149022 + 145152 = 0 for i.
43
Solve 0 = -22*u + 27078 - 26880 for u.
9
Solve 3934 = -88*h - 4910 + 1882 + 186 for h.
-77
Solve -171*a - 5783 - 10225 = 105*a + 72*a for a.
-46
Solve -7664 = -476*r + 1888 - 1936 for r.
16
Solve -623*c - 977*c - 99968 = -192*c for c.
-71
Solve 2224 - 4500 = -397*v - 795*v + 17988 for v.
17
Solve 139*m - 28*m - 1366 + 779 = 4630 for m.
47
Solve 16*q + 9*q = -162*q - 0*q - 3366 for q.
-18
Solve -1960 + 1178 = -84*v + 3838 for v.
55
Solve 150*i - 2026 + 2026 = 0 for i.
0
Solve 54912 = -3052*i + 943*i - 6133 + 10429 for i.
-24
Solve 127048 = -143*j + 122186 for j.
-34
Solve 1164*s - 91*s + 50963 = -170*s for s.
-41
Solve 5228*x + 4247*x = -658023 - 308427 for x.
-102
Solve 38*c = -221*c + 86*c - 18*c - 10505 for c.
-55
Solve 29*a + 375 = -158*a - 172*a - 21524 for a.
-61
Solve 0 = -76*t - 1256 + 2666 + 2162 for t.
47
Solve -489*k + 6268 = 517*k - 1735 - 2057 for k.
10
Solve -15*u = -579 - 1005 - 9 + 423 for u.
78
Solve -374*x = -237*x + 1878*x + 130975 for x.
-65
Solve -38593 + 38219 = -22*y for y.
17
Solve 0 = 88*u + 2*u + 5940 for u.
-66
Solve 247*r - 570*r - 5973 = -159*r - 15157 for r.
56
Solve -238*v + 891*v - 261480 = -573*v - 953*v for v.
120
Solve -33*c + 15416 = -131*c - 66*c for c.
-94
Solve -349*w + 4681 + 4742 = 0 for w.
27
Solve 692*s - 486 = 961*s + 89 + 1577 for s.
-8
Solve -122*v + 18305 - 20989 = 0 for v.
-22
Solve -475*q + 88910 = 138*q + 2002*q for q.
34
Solve -626*c - 366*c - 24161 = -339*c for c.
-37
Solve -1066*v - 7141*v = 106691 for v.
-13
Solve -2083 = 1767*j + 3218 for j.
-3
Solve -18847 = 340*l - 39927 for l.
62
Solve -14254*x = 42670 + 113445 + 14933 for x.
-12
Solve 2621*h + 1367*h - 10749 - 9191 = 0 for h.
5
Solve -10177*b = -10313*b - 8704 for b.
-64
Solve 18*w + 1665 = 133*w + 440*w for w.
3
Solve 141741 = -138*b + 281675 - 143798 for b.
-28
Solve 1071*c - 869*c = -282*c - 1940*c - 43632 for c.
-18
Solve 462948*j = 464238*j - 79980 for j.
62
Solve -62537 = 985*a | {
"pile_set_name": "DM Mathematics"
} |
-24)). Does 11 divide (x*2)/(2/(-4))?
False
Suppose d = b + 146, -4*b = -d + 6*d + 620. Let s = 264 + b. Is 8 a factor of s?
False
Let c(b) = b**2 - 7*b - 25. Let i be c(12). Let t = i + -26. Does 2 divide t?
False
Is 16 a factor of (1 + (-15)/18)/(8/4944)?
False
Suppose -f = n - 13, 2*f - 3*n - 28 = -7*n. Let t = f + 12. Does 6 divide t?
True
Let r(v) = -v**3 + 13*v**2 - v - 10. Let u be r(13). Let p(n) = -n**2 - 26*n - 14. Is p(u) a multiple of 10?
False
Let q(u) = -u**2. Let w be q(0). Suppose 0 = -5*r - 5*t + 18 + 2, -2*r - 5*t + 5 = w. Suppose r*j - 8 = 37. Is j a multiple of 2?
False
Suppose 0 = -3*x + 325 + 104. Suppose -x - 352 = -5*z. Is z a multiple of 12?
False
Let x = -6 + 18. Is 3 a factor of 7 + -2 - x/(-3)?
True
Let a(s) = -451*s + 141. Is 12 a factor of a(-15)?
False
Suppose -g + 7*k + 110 = 3*k, 4*g = -3*k + 345. Does 9 divide g?
True
Is 64 a factor of 528 - (93/(-33) + (-2)/11)?
False
Let l be (82/(-4))/(8/(-32)). Let n = l - 23. Is n a multiple of 12?
False
Let w(g) = 2*g**3 + 3*g**2 + 2*g + 4. Let s be w(-2). Is (2/s)/((-4)/408) a multiple of 17?
True
Let y be (-585)/52*8/(-3). Let n = y - 19. Does 3 divide n?
False
Let m be -2*(-2)/10 - (-1114)/(-10). Let u = m + 226. Is u a multiple of 23?
True
Let f(b) = -b**3 + 19*b**2 - 34*b + 28. Is f(13) a multiple of 20?
True
Let u(w) = 7*w**2 - 2*w + 8. Is u(-5) a multiple of 14?
False
Let h(j) = 17*j**2 + 31*j + 5. Does 65 divide h(-8)?
True
Suppose -2*q = 5*p + 3*q + 60, -p + 5*q = 30. Let u = p - -67. Is u a multiple of 13?
True
Let i(w) be the first derivative of w**4/2 - 22*w**3/3 + 3*w**2 + 18*w + 40. Does 21 divide i(12)?
True
Let i = -21 + 13. Let m = 10 + i. Suppose 0 = -7*j + m*j + 100. Is j a multiple of 14?
False
Suppose 7 = 2*v + 3. Suppose 5*q - 234 = v*q. Is q a multiple of 11?
False
Let j(d) = d**2 + 9*d + 3. Let o(m) = -2. Let y(b) = b + 3. Let u(z) = 6*o(z) + 5*y(z). Let i be u(-3). Is 13 a factor of j(i)?
True
Let w(g) = -g - 6. Let k be w(-10). Suppose -8 = 4*s, -5*f + s = k*s - 9. Suppose 8*l - 20 = f*l. Does 4 divide l?
True
Let y(w) = -26*w + 19. Let t be y(3). Let h = 97 + t. Does 8 divide h?
False
Suppose 4*m - 3*m = 5*c + 127, -4*m - 3*c = -462. Is 14 a factor of m?
False
Let t = -8 - -12. Suppose q - 5*q = t*c + 24, -10 = 4*q - 3*c. Is 17 a factor of 98/6 - q/6?
True
Let x be (30/(-4))/(1/(-6)). Does 21 divide (38/3 - 0)/(6/x)?
False
Suppose 25 = -5*i, -l + 20*i = 18*i - 41. Is l a multiple of 2?
False
Let j be 64/6*(-48)/8. Let k = j + 92. Does 11 divide k?
False
Let g(n) = -1 + 3 + 3 + 6*n. Let k be g(-2). Let j = -1 - k. Is 3 a factor of j?
True
Suppose -25 + 10 = -5*k. Suppose o + 2*f = -f + 9, -o + k*f = 9. Let c(z) = -2*z + 32. Is 16 a factor of c(o)?
True
Let c = 9 + -4. Suppose 2*b - 4*n - 40 = 0, 0*n + 5 = -2*b - c*n. Is 2/4 - (-45)/b a multiple of 5?
True
Suppose -7*i = -2*i - 1820. Suppose 5*a = -10 - 0, 2*a = 4*h - i. Suppose -7*m = -4*m - h. Is m a multiple of 15?
True
Suppose -28 = 5*r + l - 87, -4*r + 32 = -3*l. Suppose -3*b - r = -5*b - v, -21 = -4*b - 3*v. Is 61 - ((2 - b) + 4) a multiple of 16?
False
Suppose r = 2*h - 123, 3*h + 6 + 0 = 0. Let b = 182 + r. Does 10 divide b?
False
Let v = 39 + -34. Suppose -j = -p + 189, -v*j + 555 - 156 = 2*p. Is 24 a factor of p?
True
Let c be (-10 + 8)*3/1. Let u = 5 - c. Suppose 2*q - u - 7 = 0. Is q a multiple of 9?
True
Let x be (-5 - -1)/((-5)/25). Let j be 4 - (x/2 - -1). Let s(w) = -w**3 - 7*w**2 - 6*w - 2. Is 10 a factor of s(j)?
True
Let r = 202 + -308. Let s = r + 179. Suppose 5*f - s - 122 = 0. Is 13 a factor of f?
True
Suppose -2*x + 4*j + 388 = 0, -j = 5*x - 4*j - 970. Is x a multiple of 22?
False
Let u(y) = -3*y + 226. Is u(23) a multiple of 89?
False
Let m = -92 + 53. Let j be (-6)/m + (-340)/13. Does 9 divide 1*j/(-1) + 1?
True
Suppose 35*p - 12000 = 10*p. Is p a multiple of 16?
True
Let w(j) = -j**3 - 7*j**2 + 42*j - 19. Let s be w(-11). Suppose 2*i + 3*k = 46, -3*i = i - 4*k - 52. Let h = s + i. Does 11 divide h?
False
Let a(r) = r**2 - 8*r - 8. Let k be a(9). Let l = 1 - k. Suppose t + l*t = 4. Is 2 a factor of t?
True
Suppose 5*b + k - 1804 = 0, 2*k - 567 = -2*b + 161. Is b a multiple of 15?
True
Let g(i) = 14*i**2 - 1. Suppose -x + 0 + 1 = 0. Suppose -2*y - 5*d - 3 = -0*d, 2*y + 3*d + x = 0. Does 5 divide g(y)?
False
Let m(f) = f**2 - 9*f + 14. Let z be m(12). Suppose z = 23*c - 18*c. Does 5 divide c?
True
Suppose 5*z - 6 + 16 = 0. Is 33 a factor of -2 - 1 - (-194 + 14/z)?
True
Let s(j) = j**2 + 2*j - 11. Let h be s(3). Suppose x - 4 = 0, -2*f = -0*f + 4*x - 82. Suppose -z - r = -f, h*r = -r + 10. Does 31 divide z?
True
Let p(d) = -d**3 + 59*d**2 - 47*d - 73. Does 12 divide p(58)?
False
Let q(k) = -k**3 + 9*k**2 - 5*k - 23. Is q(5) a multiple of 52?
True
Suppose 106*o - 3552 = -3*v + 105*o, -4*v + 5*o = -4736. Is v a multiple of 74?
True
Suppose 4*t - 649 = -x, -4*x - 952 = -2*t - 3584. Is x a multiple of 9?
True
Let w be (-1)/(-4) - (-17003)/(-28). Let d be w/7 - 8/28. Is 18/12 - d/6 a multiple of 16?
True
Suppose -2*y + 81 - 35 = 0. Let q(z) = 2 + y + 8 - 3*z. Is q(0) a multiple of 11?
True
Suppose 92*n - 726 = 81*n. Is n a multiple of 3?
True
Let m = 1 + -1. Suppose -2*j + 0*j + 176 = m. Is j a multiple of 11?
True
Let l = 16 + -99. Let x = l + 139. Is x a multiple of 15?
False
Suppose -16*g + 12*g + 1024 = 0. Does 2 divide g?
True
Suppose 3*g + 147 + 378 = 0. Let l = -98 - g. Suppose -21 = 4*m - l. Is 6 a factor of m?
False
Let i = -145 + 236. Let k = 211 - i. Does 12 divide k?
True
Suppose -1346 = 12*w - 14*w. Suppose 2*z = 2*t - 67 + w, -5*t = -2*z + 615. Is 30 a factor of z?
True
Let t be -35*((-36)/(-28) + -3). Suppose -t = -4*g - g. Suppose 39 = w + g. Does 27 divide w?
True
Let s = 35 + -33. Let m(x) = 2*x**2 + 5*x**2 + 0*x**2 - 2*x - 2. Is m(s) a multiple of 11?
True
Suppose b - f = -2*b + 2884, 0 = 2*f + 8. Does 30 divide b?
True
Suppose -4*d + 20 = v, -5*d + v + 14 = 5*v. Suppose 3*q - d*q - 24 = 0. Is 3 a factor of 0 - (-1 + 3 + q)?
True
Suppose -4*g + 4 = 0, -5*g + 2*g = -4*q - 139. Let v = q + 32. Is v/1 - (-8)/2 a multiple of 2?
True
Let n be 728/(-130)*(-9 + 0 + -1). Suppose -17*p - n = -21*p. Does 4 divide p?
False
Suppose 0*w = -4*w + y - 21, 0 = -5*w + 4*y - 18. Let b(r) be the first derivative of -2*r**2 + 7*r + 51. Is b(w) a multiple of 6?
False
Suppose 3310 = 5*z + 180. Is 68 a factor of z?
False
Suppose i - 7*i = -2256. Let j = -191 + i. Is 18 a factor of j?
False
Suppose -4*q = -2*m - m + 1266, -2075 = -5*m - 5*q. Does 33 divide m?
False
Let c be 1 - (1 - (6 + -4)). Suppose c*i = -2*i + 328. Is 41 a factor of i?
True
Suppose -3*b - 2*m + 1745 = 3*m, b = 3*m + 577. Is b a multiple of 19?
False
Let f(k) = k**2 - 2*k + 53. Does 6 divide f(14)?
False
Let l = -5 + 240. Does 12 divide l?
False
Suppose 2*w - 30364 = -4*u - 2*w, -5*w + 30367 = 4*u. Suppose 0 = -5*c - 4962 - u. Is 8 a factor of c/(-60) - (-1)/6?
False
Suppose 16*u = 25*u - 801. Let y = 224 - u. Is y a multiple of 22?
False
Let u(j) = 2*j**2 - 6*j + 9 + 3*j - 7*j. Suppose -11*t + 8*t = -27. Does 13 divide u(t)?
False
Let v(a) = -8*a - 21. Let z(m) = -12*m - 32. Let k(t) = 8*v(t) - 5*z(t). Let b be k(-5). Does 9 divide (0 + -2)*(-486)/b?
True
Let q = -106 + 109. Suppose 4*y + 5*o - 576 = 0, q*o = 3*y - 2*y - 161. Does 25 divide y?
False
Does 14 divide (-24)/6 - 308/(-4)?
False
Let i = 12 - 16. Let a = i + 35. Let x = -5 + a. Does 26 divide x?
True
Suppose -10260 - 2356 = -19*f. Does 12 divide f?
False
Let g be 2/7 - 2964/84. Does 14 divide 124 + -2 - (g/5 + 3)?
True
Let b(v) = v - 6. Let o be b(4). Is 2 - -14 - (4/1 + o) a multiple of 3?
False
Suppose 4*w = -3*t + 390, -2*w = -3*t - 71 + 461. Is t a multiple of 29?
False
Suppose 3*g = -4*n + 1356, -2*g - 4*n + 9*n + 927 = 0. Does 12 divide g?
True
Is 3/((-2)/8 - (-488)/1824) a multiple of 19?
True
Let f = 6 - 6. Suppose -5*v - m + 97 + 57 = f, 4*v - 2*m = 112. Does 15 divide v?
True
Suppose -4*o - d - 13 = -76, 26 = 3*o + 5*d. Let b = 10 + o. Is 27 a factor of b?
True
Let q = -37 + 16. Let p = 16 + q. Is 24 a factor of 4/((20/(-72))/p)?
True
Let f = 29 + -1. Suppose -2*s + 0*s = z + 2, s + 4 = -2*z. Suppose s = a + a - f. Is a a multiple of 14?
True
Suppose a = 4*r - 459, 5*a + 76 = r - 15. Is r a multiple of 7?
False
Let b = -1 + 6. Suppose b*f | {
"pile_set_name": "DM Mathematics"
} |
(2*l - 2*l + 3*l)*(0*l + 2*l - l) + 0*l**2 + 2*l**2 + 4*l**2 - 27 + 2*l + 2*l**2 + 27)*(2*l - 2*l - l**2) + 4*l - 4*l + 3*l**4.
-8*l**4 - 2*l**3
Expand ((2*i**2 + 4*i**2 - 3*i**2)*(-20*i + 334 - 334) - 3*i + 3*i + 2*i**3)*(-3 + 2*i + 2 + 4).
-116*i**4 - 174*i**3
Expand (4 - 6 + 6)*(-7 - 30 + 73)*(-1 + 1 - 1)*(8*r - 4*r + 0*r).
-576*r
Expand 8*f + 14*f - 6*f + (0*f + 0*f + f)*(3 - 5 + 0) + 3*f + 2*f - f - 3*f + 2*f + 2*f + (4*f + f - 4*f)*(2 - 2 + 2).
21*f
Expand (3*a**2 + 4*a**2 + 0*a**2)*(-2*a**3 - 3*a + 3*a) + 0*a**5 + 3*a**5 - a**5 + (-259*a**4 + 189*a**4 - 94*a**4)*(-a - 4*a + 3*a).
316*a**5
Expand (3*z**2 - z**2 + 49*z**2)*(z**2 - 3*z**2 + 0*z**2) + 32*z + z**4 - z**3 - 34*z - 10 - 3*z**4.
-104*z**4 - z**3 - 2*z - 10
Expand -5*f**2 + 4*f**2 + 3*f**2 + (f - 2*f + 5*f + 0 + 0 - 3*f + 2*f + 3*f - 4*f + (-3 + 0 + 2)*(3*f - 2*f - 2*f) + 2*f + 1 - 1)*(-66 + 32 + 22*f + 31).
112*f**2 - 15*f
Expand (-3*r**3 + 5*r**3 - r**3)*(-326*r - 329*r - 2 + 634*r) + (3*r**3 - 2*r**3 - 3*r**3)*(0*r + r + 0*r).
-23*r**4 - 2*r**3
Expand -5 + 3*h + 5 + 139*h - 580*h + 18*h + (-4*h - h + 3*h)*(2 + 0 + 0).
-424*h
Expand (-5746*g - 13 - 5720*g + 11513*g)*(0 + 1 - 3).
-94*g + 26
Expand ((1 + 4 - 3)*(4*a - a - 2*a) - a + 2*a + a + 0*a - 2*a + 0*a)*(-4 + 5 + 1 + (2 + 0 + 0)*(9 - 4 + 1)).
28*a
Expand (2 - 2 + z)*(-20*z + 2*z - 17*z - 26*z)*(5*z - z - 9*z) + z - z**3 - z.
304*z**3
Expand (30 - 4 - 4)*(12*s - 15*s - 8*s).
-242*s
Expand (2 + 0 - 1)*(6*a**2 - a**2 - 2*a**2) + 29*a + 6*a**2 - 29*a + 642*a - 642*a - 41*a**2.
-32*a**2
Expand (8*q - 3*q - q)*(-1530 - 8 - 717).
-9020*q
Expand (3 - 3 - r**2)*(9902478 - 4273*r**2 - 9902478).
4273*r**4
Expand (f**2 - 2*f**2 + 3*f**2 + (f**2 - 2 + 2)*(0 - 1 + 0) + 0*f**2 - 2*f**2 + 4*f**2 + (86*f + 167 - 167)*(-3*f + 3*f + 2*f))*(7*f + 5*f + 11*f).
4025*f**3
Expand 51112371*l**2 - 4892*l**3 + 4 - 51112365*l**2 - 4 + (2*l**3 + 4*l**3 - 5*l**3)*(2 - 1 + 1) + 2*l**3 + 3*l**3 - 3*l**3.
-4888*l**3 + 6*l**2
Expand (-130 + 14 + 47)*(9*g + 14*g - 3*g - 5*g + 23*g - 8*g - 4*g - 3*g + 6*g + (-3*g + 2*g + 3*g)*(0 + 1 + 1)).
-2277*g
Expand (-2*h + 3*h - 3*h)*(5*h**3 + 2*h - 3*h**3 - 3*h) + (229*h**3 - 77*h**4 - 229*h**3)*(-2 + 0 + 1)*(-9 - 7 - 10).
-2006*h**4 + 2*h**2
Expand (7*i - 3*i - 2*i)*(-i**4 + 0*i + 0*i + (-4*i**3 + i**3 + i**3)*(196 + 281*i - 196)).
-1126*i**5
Expand (-4*j**3 + 2*j**3 + 0*j**3)*(-8 + 4*j**2 + 8 + (-3*j - 2*j - 2*j)*(j + 5*j - 3*j)).
34*j**5
Expand -2 + 2 - c + (3*c + c - 2*c)*(-4 + 2 + 1) + (-9 + 16 - 1)*(-13*c + 7*c + 3*c) - 3*c + 2*c - c.
-23*c
Expand (564 - 282 + 6*s**2 + 3144*s**3 - 282 + 879*s**3)*(s + 3*s - 2*s).
8046*s**4 + 12*s**3
Expand (19*p - 4 + p**2 - 30*p + 10*p)*(-39 + 39 + 2*p + (-7 + 10 + 10)*(-3*p + 3*p + p)).
15*p**3 - 15*p**2 - 60*p
Expand 1 - 1 - 2*f**2 + (-3*f + 0*f + f)*(-195*f + 342*f - 1197*f).
2098*f**2
Expand (3*j - 3*j - j**2)*(-5*j - 14*j - 2*j)*(22 + 98 - 38).
1722*j**3
Expand (2*r - 3 + 3)*((6 - 1 + 0)*(r + 0*r + 3*r) - 29*r - 21*r - 5*r).
-70*r**2
Expand (-3 + 1887*a**2 - 5 - 1888*a**2)*(-73*a**3 + 91*a**3 - 222*a**3).
204*a**5 + 1632*a**3
Expand (10*k + 5*k - 4*k)*(-2*k**2 + 4*k**2 + k**2) + (-2*k**2 + 2*k**2 - 2*k**3)*(4 - 2 - 1) + k**3 + 2*k**3 + 0*k**3.
34*k**3
Expand -3*f**3 + 3*f**3 + 2*f**3 + (1 + 1 - 4)*(-2*f**3 + 4*f**3 + 0*f**3) - 117 + 1132447*f + 38*f**3 - 1132447*f.
36*f**3 - 117
Expand (-4*t**4 + 230*t**3 + 14*t**3 - 498*t**3)*(0*t - t + 6*t).
-20*t**5 - 1270*t**4
Expand (2*o - 5*o - 3*o)*(33 - 5*o**2 - 33)*(10932 + 121*o**2 - 10932).
3630*o**5
Expand (-100*q + 58*q - 61*q)*(19 - 26*q - 12 - 13*q - 7).
4017*q**2
Expand (2*a - 2*a + 2*a**2)*(0*a + 0*a + 2*a**2) + 2*a**3 - 2*a**3 - 2*a**4 - a + a**4 + a - 2*a + 204*a**4 - 92806*a**2 + 92806*a**2.
207*a**4 - 2*a
Expand -6*y + 3*y - 2*y - 165 - 709*y + 165 + (-2*y + 1 - 1)*(2 - 2 + 2).
-718*y
Expand (-15*b + b - 14*b)*(-5 + 7 + 18).
-560*b
Expand (-21*b**3 - 27*b**3 + 5*b**3 - 2*b + 2*b**3 + 2*b + (0 + 0 + 2*b)*(2 + b**2 - 2) + 5*b**3 - 2*b**3 + 0*b**3)*(3*b - 3*b - b) - b**4 + 0*b**4 + 3*b**4.
38*b**4
Expand 4*o + o + 0*o + (2 + 0 - 1)*(-1 + 2*o + 1) + o + 15*o - 6*o + 0 + 0 + 4*o - o + o - 2*o + (-2 + 0 + 0)*(2*o + o - 5*o) - 1 + 1 - 2*o.
21*o
Expand (-3 + 3 + 2*b)*(3*b + b**2 - 3*b) + (15*b**3 + 5*b**3 - 10*b**3)*(0 + 1 + 2) + (2*b**2 - 3*b**2 - b**2)*(b + 3 - 3) - 20*b + 26*b**3 + 20*b.
56*b**3
Expand (-2*d + d + 0*d)*(-4 + 4 - d) + 4 - 4 + 14*d**2 + 23990 + 5*d - 3*d - 23995 - 2*d**2.
13*d**2 + 2*d - 5
Expand (-3*y + 2*y + 2*y)*(0 + 0 - 2*y)*((4 - 1 - 5)*(-3*y - y**3 + 3*y) - y**3 + 2*y - 2*y + 259*y - 524*y**3 - 553*y**3 + 1066*y**3 - 2*y**2).
20*y**5 + 4*y**4 - 518*y**3
Expand (-4*i - 9*i + 8*i)*(3 - 3 - 4)*(105*i - 115 + 115).
2100*i**2
Expand (-3 - 3 + 2)*(-2*w**4 + w**4 + 3*w**4) - 2*w**2 - 2*w**4 + 6*w**2 - w**2.
-10*w**4 + 3*w**2
Expand (-4*h - 3*h**2 + 4*h)*(4 + 1 - 4) - 811*h**2 + 95051*h - 95051*h.
-814*h**2
Expand ((4*t - 4*t - 2*t)*(-4*t + t + t) + (-34*t**2 + 60*t**2 - 3*t**2)*(-1 - 3 + 3) + (4*t - t - 4*t)*(-3*t + 7*t - t))*(2 - 2 - t).
22*t**3
Expand (-2*x + 2*x - x)*(4*x - 5*x - x) + 5 - 5 - 11*x**2 - 3*x**2 - 5*x - 6*x**2 - x.
-18*x**2 - 6*x
Expand (7*z + 2*z - 3*z)*(0*z + 3*z - 4*z)*(-15*z**3 + 497 - 497).
90*z**5
Expand (2 - 2 - 2 + (-2 + 3 - 3)*(-3 + 2 - 1) + 1 + 2 - 2 + 3 + 3 - 4 - 1 - 1 + 4 - 132 - 37 - 156)*(0*k**2 + 2 + k**2 - 4).
-318*k**2 + 636
Expand (11*t**2 - 7*t - 7 + 7*t)*(2 + 2 - 2)*((0 + 0 - 2*t)*(t + 1 - 1) - 125*t**2 + 228*t**2 - 32*t**2).
1518*t**4 - 966*t**2
Expand (0 + 0 + 2*k)*(-2*k**2 + 2*k**2 - 2*k**3) + (-515*k**2 + 515*k**2 + 190*k**3)*(-8*k + 5*k - 3*k).
-1144*k**4
Expand (-4*w + 4*w + w)*(-1295*w**2 + 451*w**2 + 450*w**2 + 425*w**2 + 74).
31*w**3 + 74*w
Expand (-3 + 6 - 2)*(-3*q + q + 4*q)*(-4 + 4 - 2 + (6 - 3 - 1)*(3 - 1 - 1) + 1 + 3 + 1)*(1239*q**3 - 2784*q**3 - 4147*q**3).
-56920*q**4
Expand (-3*x**4 + 9*x**4 + 53*x**4)*(0 - 1 + 4) - 14*x**4 + 33*x**4 - 20*x**4 - 2.
176*x**4 - 2
Expand (13 - 14 + 10)*(5 - 3 + 2)*(1 + 11 + 5)*(-2 + 0 + 4)*(-5 + c + 5 + 4*c - c - 4*c - 3*c + 2*c + 3*c + (-3 + 3 + 2)*(2*c + 2 - 2) + 3*c + c - 2*c).
9792*c
Expand (m - 4*m + m)*(-5*m**2 + 2*m**2 + 2*m**2) - 3*m**3 + 0*m**3 - 2*m**3 + (26*m + 62*m + 12*m)*(-3*m**2 - 3*m + 3*m).
-303*m**3
Expand (-4*c**3 + 4*c**3 + c**4 - 3*c**4 + 4*c**4 - 3*c**4 + (-c**4 - c**4 + c**4)*(-1 - 1 + 3) + 2*c**4 - 5*c**4 + 4*c**4)*(6688*c - 79*c + 5379*c + 20746*c).
-32734*c**5
Expand (2 + 0 + 0)*(4 + 3587*a**2 + 4*a**3 - 3605*a**2 + 1).
8*a**3 - 36*a**2 + 10
Expand 0 + 2*m + 0 + (6 - 5 + 6)*(3*m + m - 3*m) + 20*m + 766 - 766.
29*m
Expand -3*m**4 + 3*m**4 + 9*m**5 + (m - 4 + 4)*(-43 - 30*m**4 + 43).
-21*m**5
Expand (-137 + 137 + 17*d)*(42*d**3 - 1144*d**2 + 1144*d**2) - 9*d**3 + 9*d**3 + 2*d**4.
716*d**4
Expand (d + d + 0*d)*(0 + 1 - 3) + 2 + 2*d - 2 + 3073*d + 233*d - 57*d.
3247*d
Expand (2 - 1 - 3)*(55234*v - 26889*v - 3 + 3 + 23196*v).
-103082*v
Expand (-379 - 391*j + 200*j + 193*j)*(0*j + 0*j + 3*j).
6*j**2 - 1137*j
Expand (-82 + 4*y - 29 + 152 + 289)*(-14*y**2 + 0*y**2 + y**2).
-52*y**3 - 4290*y**2
Expand (-14*h + 14*h - 2*h**3 + 10*h**2)*(-1 + 1 + 2 + (-9 - 2 + 13)*(0 + 1 + 1) - 1 - 1 + 3 - 2 + 2 + 4).
-22*h**3 + 110*h**2
Expand -g - 1 + 1 + (1 - 1 - 2)*(-2 + 2 - 2*g) + 1 - 1 + g + 4*g - 4*g + 3*g + (-62*g - 10*g - 200*g)*(1 + 2 - 2).
-265*g
Expand (-n + 0*n + 2*n)*(-5299*n + 3309*n - 4644*n).
-6634*n**2
Expand (-d**4 + 5*d**4 - 2*d**4)*(-102*d + 745*d - 54*d - 2*d - 1 + 1 - 2*d - 2*d + 5*d + (-1 + 0 + 3)*(-2*d - 4*d + 4*d) + 4 - 4 + 2*d).
1172*d**5
Expand (n - 5*n - n)*(2*n**2 + 1 - 1) - 20*n**3 + 260*n + 427*n + 22*n**3.
-8*n**3 + 687*n
Expand -4*x + 4*x + x + (0*x - 10*x + 0*x)*(-2 + 8 + 0) - x + x - 2*x + 3*x - 3*x + 15*x.
-46*x
Expand (2*a + 3*a - 4*a + (-4 + 1 + 1)*(-2*a - 2*a + 3*a))*(8663 - 15131 + 17637).
33507*a
Expand (-7 + 7 + 2*d)*(-d**3 - d**3 + 3*d**3 + (-12*d**3 + 9*d**3 - 66*d**3)*(1 - 6 + 1)).
554*d**4
Expand (-5 + 5 + a)*(-1 + 1 - 3*a)*(-10 - 1 - 9) + 7*a**2 + 6*a**2 - 14*a**2.
59*a**2
Expand 2*j + 4*j - 5*j + (33 - 42 + 29)*(2 - 2 + j) + (2 + 2*j - 2)*(-1 + 3 - 1) + j + 4*j - 3*j + 2*j + 0*j + j - 2*j + 5*j - 2*j.
29*j
Expand 2 - 766*x**3 + 584*x + 1602*x**3 - 835*x**3 - x**2 + (5 - 2*x - 5)*(-2*x**2 - 1 + 1) + x**3 - 1 + 1.
6*x**3 - x**2 + 584*x + 2
Expand (2*l - 2*l - l)*(4*l + 2*l + 0* | {
"pile_set_name": "DM Mathematics"
} |
80.
160
What is the greatest common factor of 102 and 1513?
17
Calculate the greatest common divisor of 312 and 3848.
104
Calculate the greatest common divisor of 238 and 136.
34
Calculate the highest common divisor of 2555 and 35.
35
What is the highest common factor of 68 and 8?
4
What is the highest common divisor of 663 and 39?
39
Calculate the highest common factor of 3374 and 14.
14
Calculate the greatest common factor of 3318 and 42.
42
What is the greatest common divisor of 408 and 96?
24
Calculate the highest common factor of 5775 and 150.
75
What is the highest common factor of 1500 and 12?
12
Calculate the greatest common divisor of 39168 and 153.
153
What is the highest common divisor of 480 and 15?
15
Calculate the greatest common divisor of 4 and 164.
4
Calculate the highest common divisor of 22703 and 73.
73
What is the highest common divisor of 88 and 1232?
88
What is the highest common divisor of 56 and 1064?
56
What is the highest common factor of 289 and 68?
17
What is the highest common factor of 7 and 7?
7
Calculate the greatest common divisor of 250 and 4.
2
Calculate the greatest common factor of 60 and 2720.
20
What is the highest common factor of 1428 and 168?
84
Calculate the greatest common divisor of 2360 and 8.
8
Calculate the greatest common factor of 756 and 24.
12
What is the greatest common divisor of 1271 and 1927?
41
Calculate the highest common divisor of 2108 and 744.
124
What is the greatest common factor of 17484 and 744?
372
Calculate the highest common divisor of 358 and 8771.
179
What is the highest common factor of 2150 and 86?
86
What is the highest common factor of 488 and 11834?
122
Calculate the highest common divisor of 266 and 76.
38
Calculate the highest common factor of 184 and 23.
23
What is the greatest common divisor of 20 and 940?
20
What is the highest common factor of 608 and 722?
38
Calculate the greatest common divisor of 2250 and 15.
15
What is the highest common divisor of 42 and 3738?
42
Calculate the greatest common factor of 217 and 93.
31
Calculate the highest common divisor of 16 and 12.
4
What is the highest common factor of 12 and 498?
6
Calculate the highest common factor of 63 and 4473.
63
Calculate the greatest common divisor of 23200 and 80.
80
What is the greatest common factor of 192 and 40?
8
Calculate the greatest common divisor of 36 and 1791.
9
What is the greatest common divisor of 236 and 8?
4
What is the highest common divisor of 5358 and 114?
114
Calculate the highest common divisor of 3675 and 9.
3
Calculate the greatest common divisor of 918 and 27.
27
Calculate the greatest common factor of 630 and 140.
70
What is the greatest common factor of 416 and 1469?
13
What is the highest common divisor of 1935 and 90?
45
Calculate the highest common divisor of 180 and 195.
15
Calculate the greatest common factor of 6 and 33.
3
Calculate the highest common factor of 20 and 136.
4
Calculate the highest common factor of 2 and 82.
2
What is the greatest common factor of 285 and 228?
57
What is the greatest common factor of 992 and 224?
32
What is the greatest common factor of 34 and 3791?
17
Calculate the greatest common factor of 2809 and 477.
53
Calculate the greatest common factor of 1500 and 875.
125
Calculate the greatest common divisor of 9 and 489.
3
What is the highest common divisor of 35 and 693?
7
What is the highest common divisor of 360 and 5832?
72
What is the highest common divisor of 21 and 3318?
21
Calculate the highest common divisor of 108 and 12.
12
What is the highest common factor of 164 and 4633?
41
What is the greatest common factor of 27 and 7?
1
Calculate the highest common divisor of 2 and 58.
2
What is the highest common factor of 13600 and 16?
16
What is the highest common divisor of 120 and 2112?
24
What is the greatest common factor of 34 and 442?
34
Calculate the greatest common divisor of 931 and 1216.
19
What is the greatest common divisor of 5084 and 1886?
82
Calculate the greatest common factor of 36195 and 15.
15
What is the highest common factor of 67 and 603?
67
What is the greatest common factor of 585 and 45?
45
What is the greatest common divisor of 430 and 344?
86
Calculate the greatest common factor of 28 and 3059.
7
Calculate the highest common factor of 792 and 144.
72
What is the greatest common factor of 55414 and 206?
206
What is the highest common factor of 57 and 75?
3
What is the greatest common factor of 650 and 25?
25
Calculate the greatest common factor of 60 and 16770.
30
Calculate the highest common factor of 8 and 2696.
8
Calculate the greatest common factor of 32 and 8.
8
Calculate the highest common divisor of 15912 and 1428.
204
Calculate the highest common factor of 602 and 172.
86
Calculate the greatest common divisor of 529 and 322.
23
Calculate the highest common factor of 18 and 4590.
18
What is the greatest common divisor of 2948 and 176?
44
What is the greatest common divisor of 2494 and 516?
86
Calculate the greatest common factor of 30 and 470.
10
Calculate the highest common divisor of 560 and 336.
112
Calculate the greatest common factor of 171 and 38.
19
Calculate the greatest common factor of 59 and 1829.
59
What is the greatest common factor of 35 and 315?
35
What is the highest common divisor of 876 and 6?
6
Calculate the greatest common factor of 60 and 132.
12
What is the greatest common divisor of 60 and 200?
20
What is the greatest common factor of 2133 and 1343?
79
Calculate the highest common factor of 3345 and 15.
15
Calculate the highest common factor of 4 and 1282.
2
What is the highest common factor of 6045 and 1116?
93
What is the greatest common divisor of 156 and 364?
52
Calculate the highest common divisor of 59 and 531.
59
What is the greatest common divisor of 76 and 16853?
19
What is the greatest common divisor of 80 and 7240?
40
What is the greatest common divisor of 18668 and 156?
52
What is the greatest common factor of 88 and 1078?
22
Calculate the greatest common divisor of 781 and 497.
71
Calculate the highest common divisor of 424 and 530.
106
What is the greatest common factor of 182 and 39?
13
Calculate the greatest common divisor of 1386 and 70.
14
Calculate the greatest common divisor of 459 and 54.
27
Calculate the highest common divisor of 8207 and 58.
29
Calculate the highest common factor of 272 and 102.
34
Calculate the highest common divisor of 420 and 16140.
60
Calculate the highest common factor of 198 and 44.
22
What is the highest common divisor of 8946 and 504?
126
Calculate the highest common factor of 316 and 19671.
79
Calculate the greatest common divisor of 207 and 3036.
69
What is the highest common divisor of 612 and 272?
68
Calculate the highest common divisor of 156 and 364.
52
What is the greatest common factor of 240 and 32?
16
What is the highest common factor of 112 and 210?
14
What is the highest common factor of 5 and 4315?
5
What is the highest common factor of 80 and 48?
16
What is the highest common divisor of 25 and 15?
5
What is the greatest common factor of 357 and 646?
17
What is the highest common divisor of 14430 and 37?
37
Calculate the highest common divisor of 18 and 8577.
9
Calculate the greatest common divisor of 165 and 198.
33
Calculate the highest common divisor of 66 and 110.
22
Calculate the greatest common factor of 83 and 83.
83
Calculate the greatest common factor of 728 and 16.
8
Calculate the greatest common divisor of 40 and 11152.
8
What is the greatest common divisor of 25 and 175?
25
What is the greatest common divisor of 25612 and 76?
76
What is the highest common divisor of 170 and 578?
34
What is the greatest common factor of 266 and 152?
38
What is the highest common factor of 6108 and 132?
12
What is the greatest common factor of 1107 and 243?
27
Calculate the greatest common divisor of 6 and 726.
6
Calculate the highest common divisor of 33328 and 64.
16
Calculate the greatest common divisor of 10 and 2.
2
Calculate the greatest common divisor of 123 and 7749.
123
What is the highest common divisor of 1085 and 280?
35
Calculate the highest common factor of 1474 and 154.
22
What is the highest common factor of 14 and 238?
14
What is the highest common divisor of 6 and 66?
6
Calculate the greatest common divi | {
"pile_set_name": "DM Mathematics"
} |
inator of -9/49 and -6/20902651.
146318557
Calculate the smallest common multiple of 246596 and 42.
739788
Calculate the smallest common multiple of 32 and 3218756.
25750048
Calculate the lowest common multiple of 9105 and 249.
755715
Calculate the smallest common multiple of 701316 and 3388.
701316
Calculate the smallest common multiple of 11880 and 8330472.
458175960
What is the common denominator of -18/22325 and 29/5950?
5313350
Find the common denominator of 1/86457 and -85/2806.
10547754
What is the common denominator of 77/936 and -41/1786308?
139332024
Calculate the common denominator of 53/2825 and -4/6828025.
6828025
What is the smallest common multiple of 2092790 and 30?
6278370
What is the common denominator of 67/148580 and 143/794580?
18275340
Find the common denominator of -145/224844 and -73/78.
2922972
What is the smallest common multiple of 101195706 and 86315?
505978530
Calculate the smallest common multiple of 2380476 and 5951190.
11902380
What is the smallest common multiple of 4254260 and 1480?
8508520
Calculate the lowest common multiple of 1886315 and 754526.
3772630
Calculate the smallest common multiple of 1475264 and 165760.
14752640
Find the common denominator of 101/20 and -61/3350488.
16752440
Calculate the common denominator of 15/4 and 97/82898.
165796
Find the common denominator of 85/937850794 and 97/10.
4689253970
What is the least common multiple of 120 and 930424?
13956360
Find the common denominator of -65/2894168 and 3/7235420.
14470840
What is the least common multiple of 81 and 3081258?
27731322
What is the smallest common multiple of 11408610 and 216?
410709960
Calculate the lowest common multiple of 17287844 and 18.
155590596
Calculate the common denominator of 23/48036 and -109/36258.
290281548
What is the least common multiple of 293814151 and 202?
587628302
What is the lowest common multiple of 6734907 and 255?
33674535
Calculate the lowest common multiple of 60 and 11574744.
57873720
What is the least common multiple of 9038900 and 3250?
45194500
Calculate the common denominator of -19/85791683 and -145/9712266.
514750098
What is the least common multiple of 25355 and 2556245?
28118695
What is the common denominator of 49/277778397 and -2/351?
2500005573
What is the common denominator of 59/378 and -127/833328?
5833296
What is the smallest common multiple of 544377400 and 14089768?
5988151400
What is the common denominator of -109/320 and -27/3926552?
157062080
What is the lowest common multiple of 8080 and 65044?
1300880
Calculate the common denominator of 119/16008 and -52/759.
176088
Calculate the lowest common multiple of 38464236 and 90932.
38464236
Find the common denominator of 56/4505625 and -54/6875.
49561875
Find the common denominator of 13/842490 and 7/40293.
9267390
Calculate the common denominator of 149/1000560 and 31/25014000.
25014000
What is the common denominator of 21/14156 and 5/72659209?
290636836
What is the common denominator of -55/422 and 9/3227?
1361794
Find the common denominator of 83/110852 and 7/302956.
226914044
Calculate the smallest common multiple of 3 and 322966572.
322966572
Calculate the lowest common multiple of 6491 and 123329.
123329
What is the least common multiple of 77112 and 53928?
8250984
Calculate the common denominator of -75/277808 and -127/60144.
5833968
Calculate the least common multiple of 25308 and 10286.
3517812
Calculate the least common multiple of 9553820 and 2388455.
9553820
What is the least common multiple of 4705938 and 621?
4705938
Calculate the least common multiple of 231398 and 205202.
10875706
What is the smallest common multiple of 405536 and 1866864?
108278112
Calculate the lowest common multiple of 5576 and 188536.
131409592
What is the lowest common multiple of 524 and 758322?
198680364
Calculate the smallest common multiple of 60 and 3275538.
32755380
Find the common denominator of -31/15738 and -45/899689.
5398134
What is the common denominator of -109/3447600 and -101/3640?
24133200
What is the common denominator of -37/147322 and 58/4641?
5745558
What is the smallest common multiple of 1837512 and 16?
3675024
What is the common denominator of 95/1882364 and -27/2390?
9411820
What is the common denominator of 229/21421050 and -11/690?
21421050
What is the common denominator of -17/16 and -85/321259134?
2570073072
Find the common denominator of -5/13046 and -32/23841.
311029686
Calculate the common denominator of 29/2004024 and -31/704.
16032192
What is the smallest common multiple of 272580 and 856680?
5996760
What is the least common multiple of 658226 and 8290?
3291130
What is the common denominator of 181/3232236 and 113/749504?
51715776
Calculate the least common multiple of 961012 and 156.
2883036
What is the smallest common multiple of 20 and 1126164408?
5630822040
What is the common denominator of -25/83721 and 29/1339536?
1339536
What is the common denominator of -7/33 and 125/59308206?
652390266
What is the common denominator of 173/45696 and -199/6234240?
43639680
Calculate the common denominator of -37/128733 and -73/63195.
246523695
Find the common denominator of 62/3544389 and -65/8270241.
24810723
Calculate the common denominator of -39/464380 and 69/10216360.
10216360
What is the common denominator of 25/581 and -91/12290?
7140490
Calculate the common denominator of -163/7290 and -37/54918.
823770
Calculate the least common multiple of 116256 and 1046304.
1046304
Calculate the lowest common multiple of 45508 and 2752.
31309504
Calculate the smallest common multiple of 470730 and 659022.
3295110
Find the common denominator of 167/15403740 and 23/102.
261863580
What is the common denominator of -97/332180 and -13/204?
996540
Calculate the smallest common multiple of 3663296 and 2368.
3663296
Calculate the lowest common multiple of 211666 and 119712242.
837985694
What is the smallest common multiple of 726299 and 281148?
8715588
Calculate the least common multiple of 282728334 and 49.
282728334
Calculate the least common multiple of 189198 and 28474299.
56948598
What is the lowest common multiple of 13985335 and 7530565?
97897345
Find the common denominator of -17/30290 and 59/55279250.
55279250
Find the common denominator of 7/16 and -57/1433390.
11467120
What is the smallest common multiple of 310 and 26991674?
4183709470
What is the lowest common multiple of 4368 and 31200?
218400
Calculate the lowest common multiple of 8 and 520641568.
520641568
What is the least common multiple of 30371 and 12739254?
140131794
Find the common denominator of 19/2974153 and -163/546.
17844918
Calculate the lowest common multiple of 62156 and 26076.
9882804
What is the common denominator of -89/2909258 and 53/11?
2909258
What is the smallest common multiple of 3004038 and 95670?
15020190
Calculate the least common multiple of 7338009 and 205163.
4057918977
Calculate the smallest common multiple of 115348188 and 21460128.
922785504
What is the common denominator of 89/639768 and -97/588?
31348632
Calculate the smallest common multiple of 2412746 and 314706.
7238238
Find the common denominator of -21/6775840 and -53/280.
47430880
Calculate the least common multiple of 107428976 and 7.
752002832
Find the common denominator of 107/72 and 53/2197334.
79104024
Find the common denominator of 31/214940 and 29/440.
429880
What is the lowest common multiple of 4458267 and 4458267?
4458267
Calculate the lowest common multiple of 44422962 and 6.
44422962
What is the smallest common multiple of 25483 and 1775?
45232325
Calculate the least common multiple of 12126474 and 49853282.
448679538
What is the common denominator of 73/451528 and -31/60839?
37476824
Calculate the common denominator of -55/68 and -29/547328.
9304576
Calculate the least common multiple of 307664 and 525347.
2412393424
Find the common denominator of -26/603 and -99/105056.
945504
Find the common denominator of -129/631280 and -43/12636.
153401040
Find the common denominator of -46/545194149 and 19/292.
2180776596
What is the smallest common multiple of 23350 and 184465?
1844650
What is the common denominator of -49/63822116 and -49/4796?
702043276
Find the common denominator of -25/7388 and 89/149514650.
299029300
Calculate the common denominator of 95/476 and 41/ | {
"pile_set_name": "DM Mathematics"
} |
kilometer in meters?
625
Convert 4.03059 meters to nanometers.
4030590000
What is 1/4 of a micrometer in nanometers?
250
How many millilitres are there in 5047.707l?
5047707
What is 73/4 of a meter in centimeters?
1825
What is fifty-eight thirds of a decade in months?
2320
How many micrometers are there in 7.921126nm?
0.007921126
How many milliseconds are there in 1/4 of a second?
250
How many micrograms are there in 19.40624 kilograms?
19406240000
How many centimeters are there in 0.9178791nm?
0.00000009178791
What is one twentieth of a day in minutes?
72
How many minutes are there in fifty-one sevenths of a week?
73440
Convert 125478.1ug to grams.
0.1254781
Convert 403614.8 microseconds to milliseconds.
403.6148
Convert 854.4788 kilograms to grams.
854478.8
What is 3/8 of a kilometer in meters?
375
What is 481.305 nanometers in micrometers?
0.481305
How many hours are there in 3/56 of a week?
9
How many grams are there in thirty-one halves of a kilogram?
15500
What is 5/4 of a minute in milliseconds?
75000
Convert 447786.1 millilitres to litres.
447.7861
What is seven halves of a decade in months?
420
How many minutes are there in seven sixths of a hour?
70
What is 52777.45ug in nanograms?
52777450
What is 157947.7kg in micrograms?
157947700000000
How many hours are there in seven thirds of a day?
56
How many months are there in twenty-one fifths of a millennium?
50400
What is 3.92228 micrograms in tonnes?
0.00000000000392228
What is one fifth of a litre in millilitres?
200
Convert 731625.8ug to milligrams.
731.6258
Convert 257877.6nm to centimeters.
0.02578776
What is one quarter of a microgram in nanograms?
250
How many grams are there in one tenth of a kilogram?
100
Convert 301801.8 tonnes to grams.
301801800000
How many weeks are there in 1503.132687us?
0.0000000024853384375
What is 9538.69um in centimeters?
0.953869
Convert 2.235246ug to nanograms.
2235.246
What is 896184.7kg in milligrams?
896184700000
Convert 5786.56l to millilitres.
5786560
How many hours are there in 7024.821 days?
168595.704
What is 37382889.6 minutes in weeks?
3708.62
How many hours are there in 20.215818 nanoseconds?
0.000000000005615505
What is 6.518177 micrograms in kilograms?
0.000000006518177
What is eighteen fifths of a kilometer in meters?
3600
What is 1/10 of a litre in millilitres?
100
What is 40.75213 millennia in centuries?
407.5213
Convert 83691.62 microseconds to nanoseconds.
83691620
How many centuries are there in fourty-six fifths of a millennium?
92
Convert 8.26353ms to minutes.
0.0001377255
How many litres are there in 8.456871 millilitres?
0.008456871
How many millimeters are there in fourty-five halves of a centimeter?
225
What is fifteen quarters of a century in years?
375
Convert 96.33756 millennia to years.
96337.56
What is 26/5 of a litre in millilitres?
5200
How many millimeters are there in one twentieth of a kilometer?
50000
How many milliseconds are there in 3/10 of a second?
300
What is three eighths of a milligram in micrograms?
375
Convert 25.07433 days to seconds.
2166422.112
Convert 2837303.1ns to days.
0.00000003283915625
How many micrometers are there in 29/5 of a centimeter?
58000
How many millilitres are there in twenty-seven fifths of a litre?
5400
What is one fifth of a tonne in kilograms?
200
What is 25/2 of a kilogram in grams?
12500
What is two ninths of a day in minutes?
320
What is fifty-four fifths of a millennium in centuries?
108
Convert 27826.35 years to centuries.
278.2635
Convert 962052.5 meters to kilometers.
962.0525
What is fourty-nine quarters of a millimeter in micrometers?
12250
Convert 1.13183 nanometers to centimeters.
0.000000113183
How many millennia are there in 0.4636747 decades?
0.004636747
What is seven sixths of a year in months?
14
Convert 923209.4 decades to months.
110785128
How many milliseconds are there in 5.580306 days?
482138438.4
How many nanometers are there in 0.3146767 millimeters?
314676.7
What is seven halves of a litre in millilitres?
3500
What is 2.7463323 months in millennia?
0.000228861025
How many millilitres are there in five quarters of a litre?
1250
What is fourty-two fifths of a centimeter in millimeters?
84
What is eleven quarters of a millennium in months?
33000
What is 1/20 of a kilometer in millimeters?
50000
How many kilograms are there in 3/5 of a tonne?
600
Convert 17.57636t to milligrams.
17576360000
How many minutes are there in 33736.72 hours?
2024203.2
What is twenty-one halves of a second in milliseconds?
10500
How many millimeters are there in 7/2 of a centimeter?
35
What is twenty-one eighths of a century in months?
3150
What is 22/9 of a hour in seconds?
8800
How many nanometers are there in 21/5 of a micrometer?
4200
How many grams are there in 926.278 tonnes?
926278000
How many micrometers are there in 2/125 of a centimeter?
160
How many microseconds are there in thirty-three fifths of a millisecond?
6600
How many nanometers are there in 0.485679 meters?
485679000
What is 52/5 of a meter in millimeters?
10400
What is 27/5 of a meter in millimeters?
5400
What is fifty-one sevenths of a week in minutes?
73440
How many nanograms are there in 1/4 of a microgram?
250
How many months are there in 21/2 of a decade?
1260
How many years are there in 32.7838 centuries?
3278.38
Convert 3.628008 litres to millilitres.
3628.008
How many micrometers are there in 21/8 of a centimeter?
26250
How many millilitres are there in 7429.999l?
7429999
How many micrometers are there in five eighths of a centimeter?
6250
What is 42350.2 nanograms in micrograms?
42.3502
What is twenty-five sevenths of a week in hours?
600
How many millilitres are there in one twentieth of a litre?
50
How many minutes are there in 2805.3087s?
46.755145
How many grams are there in 3/5 of a kilogram?
600
How many centimeters are there in 599033.6km?
59903360000
How many grams are there in fourty-five eighths of a kilogram?
5625
What is six fifths of a tonne in kilograms?
1200
What is three eighths of a day in seconds?
32400
Convert 0.9655554g to nanograms.
965555400
How many tonnes are there in 3140.678 micrograms?
0.000000003140678
What is 4160.74 millennia in decades?
416074
How many nanograms are there in 3/8 of a microgram?
375
What is fifteen quarters of a kilometer in meters?
3750
What is 192003.9ml in litres?
192.0039
What is 55/4 of a meter in centimeters?
1375
Convert 54679.7 millilitres to litres.
54.6797
How many millimeters are there in 0.4105094 nanometers?
0.0000004105094
What is 51/2 of a second in milliseconds?
25500
Convert 887.2832ml to litres.
0.8872832
What is 459.5572 litres in millilitres?
459557.2
How many millimeters are there in 2/125 of a meter?
16
Convert 67.44965 centimeters to nanometers.
674496500
How many micrometers are there in 3/10 of a millimeter?
300
How many micrometers are there in one fifth of a millimeter?
200
Convert 1.76726mm to nanometers.
1767260
What is 1146.588m in millimeters?
1146588
What is one quarter of a meter in centimeters?
25
What is 3/10 of a decade in months?
36
How many months are there in 16/15 of a century?
1280
How many tonnes are there in 9.615735 kilograms?
0.009615735
What is 1/5 of a kilometer in meters?
200
How many minutes are there in 1/9 of a day?
160
How many kilometers are there in 194.0333mm?
0.0001940333
What is seventy-one quarters of a millennium in years?
17750
Convert 27768.7 decades to years.
277687
What is twenty-nine halves of a litre in millilitres?
14500
Convert 96751.665 nanoseconds to days.
0.0000000011198109375
What is 7/3 of a day in minutes?
3360
What is 1/4 of a milligram in micrograms?
250
What is 16576.13kg in nanograms?
16576130000000000
How many millilitres are there in 5/4 of a litre?
1250
What is 780456.7 milligrams in kilograms?
0.7804567
How many seconds are there in five quarters of a hour?
4500
What is 55/2 of a second in milliseconds?
27500
What is 676754.6 centuries in years?
67675460
How many millilitres are there in fifteen quarters of a litre?
3750
What is 18921.2 grams in kilograms?
18.9212
What is 7/2 of a centimeter in micrometers?
35000
What is eleven halves of a gram in milligrams?
5500
What is 3/10 of a century in decades?
3
What is fifteen quarters of a milligram in micrograms?
3750
What is 3/4 | {
"pile_set_name": "DM Mathematics"
} |
. Find the first derivative of t(j) wrt j.
219*j**2 - 2*j
Let c(v) = -97*v**2 + 130 - 39 + 71*v**2 - 4*v**4. Let z(h) = 2*h**4 + 13*h**2 - 46. Let q(o) = 6*c(o) + 11*z(o). Find the first derivative of q(m) wrt m.
-8*m**3 - 26*m
Suppose -s + 21 = 6*s. Suppose s*h - 5*w = -1, -4*h - 2*w + 4*w + 8 = 0. What is the first derivative of -12 - 5 - 1 + h + 20*x wrt x?
20
Let n(t) be the second derivative of -725*t**4/6 - 382*t**3/3 + 498*t. What is the second derivative of n(w) wrt w?
-2900
Let h(d) be the first derivative of -209*d**5 + 458*d**3/3 - 1288. What is the third derivative of h(u) wrt u?
-25080*u
Suppose -3*v - 1999 = -y, 5*v = 3*v. What is the derivative of -67 - y*l**4 + 1945*l**4 + 14 wrt l?
-216*l**3
Let n(w) be the second derivative of -719*w**4/4 - 35*w**3/3 - 8*w**2 - 1265*w. Find the second derivative of n(i) wrt i.
-4314
Let k(q) be the first derivative of -2*q**5/5 - 41*q**4/4 + 983*q**3/3 - 217. Find the third derivative of k(v) wrt v.
-48*v - 246
Let i(j) = 4387*j + 6008. Let b(a) = -4387*a - 5963. Let h(r) = 5*b(r) + 6*i(r). Differentiate h(s) wrt s.
4387
Let a(n) be the third derivative of 0*n**5 + 60*n**2 + 0*n**6 + 0 - 5/12*n**4 - 1/168*n**8 - 7/6*n**3 + 0*n + 0*n**7. Find the second derivative of a(k) wrt k.
-40*k**3
Let u(x) be the third derivative of 356*x**5/15 - x**4/12 + 502*x**3/3 - 2*x**2 + 33*x. Find the first derivative of u(t) wrt t.
2848*t - 2
Let u(b) be the third derivative of -131*b**7/105 - b**6/60 - 65*b**4/3 + b**3/6 + 1145*b**2. Find the second derivative of u(i) wrt i.
-3144*i**2 - 12*i
Let b be (9/6)/(2/(-8)). Let i be -2*(33/b + 1). Differentiate -11 + 26 + c - i*c - 4*c with respect to c.
-12
Suppose 16 + 84 = 2*k. What is the derivative of -37*y + 129 + k*y + 27 + 64*y wrt y?
77
Let t be ((-155)/(-20) + -7)*12. Differentiate -t*o**2 - 5 + 2*o**3 + 3*o**3 + o**2 + 0*o**3 with respect to o.
15*o**2 - 16*o
Let d be 6 + (6/3 - -2). Suppose 5*q = d*q - 30. Find the third derivative of 20*j**6 + 2*j**6 + 10*j**2 - q*j**6 wrt j.
1920*j**3
Suppose -6*c = -5*c + 2*d - 13, -3*c - d = -24. What is the second derivative of c*r - r - 20*r - 118*r + 123*r**4 wrt r?
1476*r**2
What is the second derivative of 504*u - 1328*u + 913*u**3 + 1841*u wrt u?
5478*u
Let w(f) be the second derivative of 4643*f**5/20 + 1400*f**2 + 8037*f. Differentiate w(i) wrt i.
13929*i**2
Let u be (1/(-13))/(75/(-975)). Find the third derivative of 7552*x**4 + 91*x**5 - 7552*x**4 + u + 7*x**2 wrt x.
5460*x**2
Let c(j) be the third derivative of -1/6*j**3 + 58*j - 71/60*j**5 - j**2 - 17/24*j**4 + 0. Find the second derivative of c(m) wrt m.
-142
Let l(a) be the first derivative of -45 + 0*a**4 - 1/3*a**3 + 3/5*a**5 + 7/2*a**2 + 9*a. Find the second derivative of l(x) wrt x.
36*x**2 - 2
Let y(j) be the second derivative of -9 - 1/6*j**4 + 0*j**3 - 7/2*j**2 - 3*j - 14/5*j**5. What is the third derivative of y(q) wrt q?
-336
Suppose 5*l + 3*j = 541, -l + 3*j = 3*l - 422. Differentiate l + 71*a**3 - 41 - 47 with respect to a.
213*a**2
Let l(y) = 6*y**4 + y**3 - y**2 - y + 1. Let p(u) = 1101*u**4 - 2*u**3 - 1092*u**2 + 2*u - 2. Let z(c) = 2*l(c) + p(c). Find the third derivative of z(x) wrt x.
26712*x
Find the second derivative of 5381*r**3 + 3 - 1040*r - 1453*r**3 - 582*r wrt r.
23568*r
Let s(p) = 24*p - 62. Let r be s(6). Let d = r - 80. Find the third derivative of -14*h**4 + h**4 + 40*h**d - 8*h**4 wrt h.
-504*h
Find the second derivative of 9837*d - 1266*d - 295*d - 1969*d**2 - 1633*d**2 wrt d.
-7204
Let b(i) be the second derivative of -721*i**6/3 + 1263*i**4/4 - i**2/2 + 7283*i. What is the third derivative of b(t) wrt t?
-173040*t
Let z(s) = 3*s**2 + 18*s. Let i(h) = -20*h**2 - 359*h - 587. Let d(k) = i(k) + 3*z(k). Find the first derivative of d(g) wrt g.
-22*g - 305
Let k(d) be the second derivative of -7*d + 2 - 7/2*d**2 + 0*d**4 + 7/6*d**3 + 66/5*d**5. Find the second derivative of k(c) wrt c.
1584*c
Let d = 682 - 478. What is the third derivative of -382*m**2 + 55*m**3 + 256*m**2 + d*m**2 wrt m?
330
Let g = -45 - -57. Find the third derivative of 73*w**2 + 7*w**4 - g*w - 74*w**2 + 8*w**4 wrt w.
360*w
Let j(b) be the second derivative of 0 + 44*b + 5/3*b**4 - 1/6*b**3 - 43*b**2. Find the first derivative of j(p) wrt p.
40*p - 1
Let g(q) = -12*q + 2. Let b(x) = -2*x**2 + 5543*x + 7477. Let y(t) = -b(t) + 12*g(t). Differentiate y(p) with respect to p.
4*p - 5687
Let v(w) be the third derivative of -41*w**7/210 - 3*w**6/40 - 1402*w**3/3 + 3005*w**2. Differentiate v(m) with respect to m.
-164*m**3 - 27*m**2
Let s(c) be the third derivative of 4279*c**5/60 + 761*c**4/12 + 4120*c**2. What is the second derivative of s(k) wrt k?
8558
Let f(g) be the second derivative of -23*g**5/10 + g**4/6 + 1433*g**3/6 - g**2 - 316*g + 8. Find the second derivative of f(r) wrt r.
-276*r + 4
Find the third derivative of -26*w**4 - 9*w**4 - w + 1643*w**2 + 1 + 4*w**4 + 19551*w**3 - 19591*w**3 wrt w.
-744*w - 240
Let d(a) = a**3 + a**2 - 8*a - 3. Let f(n) = 13*n**3 - 110*n**2 - 4063*n - 14. Let l(m) = -5*d(m) + f(m). What is the second derivative of l(h) wrt h?
48*h - 230
Let p = -58 - -1716. Find the third derivative of -1658*g**5 + 7*g + p*g**5 + 4*g + 13*g**6 - 2*g**2 wrt g.
1560*g**3
Let z(x) be the third derivative of -1/6*x**3 - 19/60*x**6 + 1/2*x**5 + 0 + 16*x**2 + 0*x**4 + 0*x. Find the third derivative of z(l) wrt l.
-228
Let p(h) be the third derivative of -13877*h**6/120 - 9425*h**3/6 - 9423*h**2. Find the first derivative of p(b) wrt b.
-41631*b**2
Let w(s) = s**2 + 24*s - 563. Let t(l) = 4*l**2 + 25*l - 563. Let q(o) = -3*t(o) + 4*w(o). Differentiate q(r) with respect to r.
-16*r + 21
Suppose 0 = -7*h + 3*h - 3*q + 24, 4*h - 24 = 4*q. Suppose -41 + 245 = h*o. What is the third derivative of 25*d**2 + 5*d**5 - 23*d**5 + o*d**5 wrt d?
960*d**2
Find the second derivative of 2*m + 234 - 1472759*m**4 + 125 + 1473984*m**4 wrt m.
14700*m**2
Let r(j) be the third derivative of 0*j**4 + 0 + 32*j**2 + 0*j**3 + 1/15*j**5 + 3*j - 19/120*j**6 - 1/105*j**7. What is the third derivative of r(n) wrt n?
-48*n - 114
Let n(y) be the first derivative of -140 + 62*y + 29/3*y**3 + 1/2*y**2. What is the second derivative of n(i) wrt i?
58
What is the second derivative of 11*h + 52*h**3 - 33*h + 12*h + 8*h + 58*h**3 - 3 wrt h?
660*h
Let m(c) = -10*c**2 + 19. Let g be m(0). What is the third derivative of -29*v**3 + 9*v**3 - 276*v**2 + 4*v**6 - v**6 + 12*v**3 + g*v**2 wrt v?
360*v**3 - 48
Let w(u) be the first derivative of -575*u**4/4 + 1131*u + 635. Differentiate w(h) with respect to h.
-1725*h**2
Let t(p) = 3*p**3 + 3*p**2 - p - 1. Let s(g) = 38*g**4 + 6*g**3 + 2528*g**2 - 2*g - 2. Let k(o) = s(o) - 2*t(o). Find the third derivative of k(z) wrt z.
912*z
Differentiate 176*i - 498*i + 392*i**2 + 179*i - 1733 + 139*i wrt i.
784*i - 4
Let z(x) = 4*x - 15. Let j be z(12). Suppose -14*r = -17*r + j. What is the second derivative of 3*t**3 + 3*t**2 - t - 3*t**2 + r*t wrt t?
18*t
Let k = 133 - 47. Differentiate -44 + 100 + 53*g + 81*g + k with respect to g.
134
Find the second derivative of -11*v - 7*v + 9*v + 8*v - 3342 - 5542*v**2 + 1131 wrt v.
-11084
Let u(y) be the first derivative of y**6/6 - 317*y**4/4 - y**3 + 2686*y**2 - 3205. What is the second derivative of u(r) wrt r?
20*r**3 - 1902*r - 6
Let i(k) be the second derivative of 32*k + 0*k**2 - 1/4*k**5 - 155/6*k**3 + 2 + 1/3*k**4. Find the second derivative of i(l) wrt l.
-30*l + 8
Let z(t) be the second derivative of 713*t**3/3 - 561*t**2 + 138*t. Find the first derivative of z(b) wrt b.
1426
Let n = 4 - -38. Find the first derivative of 1 + n - 8 - 12 - 18*w wrt w.
-18
Let f(b) = 1 + 11 + 10 - 15 + b. Let p be f(6). What is the second derivative of p*k - 85*k**5 + 6*k + 89*k**5 wrt k?
80*k**3
Find the third derivative of -169*b**6 + 3*b**4 - 111*b**6 + 0*b**4 - b**4 - 1067*b**2 - 21*b**6 wrt b.
-36120*b**3 + 48*b
What is the third derivative of 580*q**6 - 23830*q - 1560*q**6 - 1585*q**6 + 463*q**2 + 23831*q wrt q?
-307800*q**3
Let v(k) = 57*k**3 - 3*k**2 - 9*k. Let u(g) = 35*g**3 + 8*g + 2*g - 93*g**3 - g + 4*g**2. Let q(s) = 5*u(s) + 6*v(s). Find the third derivative of q(z) wrt z.
312
Let r be (-1638)/(-6) + 1*3. What is the first derivative of -15*l**2 - 77*l**2 + r*l**2 - 67*l**2 + 146 wrt l?
234*l
Let t = | {
"pile_set_name": "DM Mathematics"
} |
5?
5
Suppose -151 + 39 = -2*y. Calculate the greatest common factor of y and 7.
7
Suppose 0 = h - 2*h + 8. Let l be ((-4)/6)/(8/(-2004)). Let w = l + -95. Calculate the highest common divisor of w and h.
8
Let f(n) = -n + 3. Let d be f(2). Let r = -1 - d. Let z = 8 + r. Calculate the highest common factor of z and 6.
6
Suppose 2*x + 132 = 366. What is the greatest common divisor of 13 and x?
13
Let d(c) = c + 1. Let p be d(8). Calculate the greatest common factor of 9 and p.
9
Let b = -8 + 15. What is the highest common divisor of b and 7?
7
Suppose 2*x + 6 + 0 = 2*f, 2*f = -3*x + 16. Let q(r) = 2*r + 8. Let d be q(-8). Let j be (d/f)/(2/(-165)). What is the highest common factor of j and 12?
12
Let j(z) = -29*z**3 - 2*z**2 - 2*z - 1. Let v be j(-3). Suppose 0 = -2*q + 4 + 4. Suppose s = -q*s + v. Calculate the highest common factor of s and 14.
14
Suppose 35*m = 30*m + 65. Calculate the greatest common divisor of 1 and m.
1
Let k(n) = 33*n**2 - 2*n - 1. Let x be k(-1). Calculate the greatest common factor of 34 and x.
34
Suppose -i = -3*i + 2. Let q = 4 - i. Let j = -15 - -33. What is the greatest common divisor of j and q?
3
Let a be -1 + -1 - (-12 + 0). Suppose -3*y + 5*f + 31 = 1, y - 5*f = 10. Calculate the greatest common divisor of a and y.
10
Let b = 89 - 29. Suppose 2*a - a = b. What is the highest common divisor of a and 24?
12
Let k = 1 + 2. Suppose 3*b = k*v - 0 + 3, 0 = 5*b - 2*v - 20. What is the highest common divisor of 18 and b?
6
Let k(x) = -10*x**2 + 0*x**3 - 6*x - x**3 - 1 + 3*x**2. Let j be k(-6). Let r be j/(-3) - (-88)/6. What is the greatest common divisor of r and 15?
15
Suppose 0 = c - 4, -5*v + 4*c - 54 + 713 = 0. What is the highest common factor of v and 54?
27
Let s = 402 - -41. Suppose -3*u + s = 143. Calculate the greatest common factor of u and 20.
20
Let c = -1 - -12. Let s be 22*(28/(-8) + 4). What is the greatest common factor of s and c?
11
Let j be (2/3)/(2/21). Let u = -2 + j. Calculate the greatest common divisor of u and 10.
5
Let a be 2*(-22*2 + 2). Let u be (a/(-30))/(2/10). Calculate the highest common divisor of 154 and u.
14
Let x be (2/8)/((-4)/(-16)). Let u be (11 - -2) + 15/5. Let n = u - x. Calculate the greatest common factor of 75 and n.
15
Let t(s) be the second derivative of 7*s**3/6 - 3*s**2 + 4*s. Let v be t(4). Let x = -21 + 32. What is the highest common divisor of x and v?
11
Let v = -26 + 59. Let d(y) = 2*y + 3. Let w be d(4). What is the highest common divisor of w and v?
11
Let h(g) be the first derivative of -g**4/4 - 13*g**3/3 - 11*g**2/2 + 13*g + 3. Let l be h(-12). What is the greatest common divisor of l and 1?
1
Let d = 2 + -17. Let r = 0 - 6. Let i = r - d. Calculate the highest common factor of i and 63.
9
Let s(o) = 4*o - 2. Suppose 3*h = 2*m + 21 - 5, -2*h - 1 = m. Let q be s(h). Calculate the greatest common factor of q and 3.
3
Suppose 440 + 472 = 6*b. Calculate the highest common divisor of b and 8.
8
Suppose -2*x - y = -4, 0 = 3*x - 0*x - 2*y - 20. Suppose -x*j = -2*j - 80. What is the greatest common divisor of j and 100?
20
Let c(x) = -x**3 + 10*x**2 + x - 8. Let u be c(10). What is the highest common factor of u and 22?
2
Let m(a) = -a**2 + 5*a + 4. Let x be m(5). What is the greatest common factor of x and 36?
4
Let c = 362 - 133. Let f = -121 + c. Let r be 0 + 0 + f + -3. What is the greatest common divisor of 15 and r?
15
Let g = 8 - 7. What is the highest common factor of 7 and g?
1
Suppose -4*f + 0*g + 833 = g, 2*g - 1039 = -5*f. Let z = -74 + f. What is the highest common factor of 54 and z?
27
Let v be 6*-2*1/(-3). What is the greatest common factor of 4 and v?
4
Let m = -54 + 63. Calculate the highest common factor of m and 81.
9
Let m(p) = 5*p**2 - 2*p - 3. Let q be m(3). What is the greatest common factor of q and 24?
12
Let r = -6 - 0. Let m be (-21)/r*(-4 - -2). Let i be 2/m + 96/42. Calculate the highest common divisor of 2 and i.
2
Suppose 5*z - 10 = -0. Suppose 4*f = 5*r + 22, -f + 12 = -3*r + z*f. Let c(u) = -u - 1. Let m be c(r). Calculate the greatest common factor of 5 and m.
5
Suppose 0*b - 6*b = -12. What is the greatest common factor of 14 and b?
2
Let g(s) = s**2 - 4*s - 3. Let j(m) = m**3 - 4*m**2 + 2*m + 1. Let d be j(2). Let p be g(d). What is the greatest common divisor of 162 and p?
18
Let c be 7/(-1)*162/(-21). What is the greatest common divisor of c and 72?
18
Suppose 0 = b + 4, 0*z + 3*b + 3 = -3*z. Suppose z*s + 3*a = 99, 6 = -a - a. Calculate the highest common factor of 4 and s.
4
Let f(r) = 17*r - 2. Let s be f(9). Let b = -32 + s. Suppose -l = -4*x + 479, 2*x - b = x + l. Calculate the highest common divisor of 15 and x.
15
Suppose 2*u + 20 = 7*u. Calculate the highest common factor of 28 and u.
4
Suppose 0 = -0*b - 4*b. Suppose 6*x - 4*x - 24 = b. Calculate the greatest common divisor of 30 and x.
6
Let a be (-2)/4 + 182/4. Let r be ((-133)/14 + 1/2)*-2. What is the greatest common factor of r and a?
9
Suppose s + 5 = -4*g + 25, 3*s - 3*g = 0. Suppose 3*o - 4*o = 30. Let z = -14 - o. Calculate the greatest common divisor of s and z.
4
Let g(n) = 2*n - 6. Let y be g(4). Let k(c) = c + 8. Let i be k(-6). Let q be (i - 2 - 2)/(-1). Calculate the highest common divisor of q and y.
2
Let y(s) = s**3 - 7*s**2 + 4*s - 19. Let p be y(8). Calculate the greatest common factor of p and 11.
11
Suppose 3*b = 4*f - 23, -3*f + 24 = -4*b - f. Let v(y) = -y**2 + 2*y + 1. Let o be v(b). Let p = -16 - o. Calculate the highest common factor of 2 and p.
2
Let a(w) be the first derivative of 243*w**2/2 - w + 1. Let n be a(1). Suppose -12 = -4*f, -2*o + 2*f + 4 = -34. What is the highest common divisor of n and o?
22
Let c be 3/(1 + 8/(-6)). Let t = 10 + c. Calculate the greatest common factor of t and 2.
1
Let c = 5 + -2. Let m(y) = 7*y - 2 + y**c + y**2 - 3*y**2 - 4*y**2. Let z be m(5). What is the greatest common divisor of z and 56?
8
Suppose -3*k + 4 = -p - 4, -2*k - 4*p = 4. Suppose -b = -k*b - 6. Let c be (-574)/b + (-3)/(-9). What is the highest common factor of c and 12?
12
Suppose -108 = -4*x + w - 5*w, -2*x + 3*w = -59. Suppose d = 22 + 48. What is the greatest common divisor of d and x?
14
Suppose 4*p + 372 + 376 = 0. Let k = -110 - p. Let y be 0 + 0 - (-11)/1. Calculate the greatest common divisor of k and y.
11
Let d(b) = -b**3 - 7*b**2 - 3*b + 1. Let h be d(-7). Let v = -3 + 8. Suppose v*n = 291 - 16. Calculate the greatest common divisor of h and n.
11
Let l(b) = -b**2 + 18. Let g be l(0). Suppose 4*w = -g + 114. Suppose -4*o + 3*o = 2*c - w, 0 = 4*o + 5*c - 96. What is the highest common factor of 36 and o?
12
Let x be (-20)/(-9) - (-4)/(-18). Let k be 3 - 0 - (-1 + x). Suppose -k*r - 44 + 220 = 0. Calculate the greatest common factor of r and 8.
8
Suppose x = 31 - 11. What is the highest common factor of 10 and x?
10
Let m be 4/(-10) + 162/5. Let r = -10 + m. Let w = 54 - -1. Calculate the greatest common factor of r and w.
11
Let p(g) = -12*g - 4. Let a be p(-4). Let b(y) = -y + 4. Let n be b(0). Calculate the highest common factor of n and a.
4
Suppose -5 = 2*b + 3*o, 5*b - 18 = -o + 2. Let u be 100/(5 + 0) - 0/2. Calculate the highest common factor of u and b.
5
Suppose 2*y = 3*o - 0*o + 13, 5*o = -5. Suppose 3*a = 4*g - 167, y*a = 3*g - 78 - 39. What is the highest common factor of 4 and g?
4
Let p(m) = 2 + 1 + 0 + 6*m. Let y = -12 - -19. Let x be p(y). Calculate the highest common factor of 5 and x.
5
Let z(v) = -v**3 + 10*v**2 + 5*v - 8. Let t be z(10). Suppose 0 = -f + 4*b + 12, -4*f + 0*b - 2*b + 120 = 0. Calculate the highest common divisor of f and t.
14
Suppose -244 = -4*u - 3*k, 4*u = -0*k + k + 228. Calculate the highest common factor of u and 232.
58
Let z be 125 + (0/(-3))/1. What is the highest common factor of 50 and z?
25
Suppose 3 = x - 60. Calculate the greatest common factor of x and 7.
7
Suppose -1 - 3 = -2*d. Suppose -d + 3 = n. Suppose 4*x - 20 - 16 = 0. What is the highest common factor of x and n?
1
Suppose 7*v - 44 = 3*v. What is the highest common divisor of v and 11?
11
Let c(y) = -4*y - 2*y + 4*y - 1 + 3. Let i be c(2). Let b be i/(-7) + (-19)/(-7). What is the highest common divisor of b and 1?
1
Let p be 2/(-10) + (1344/20 - -5). Let n be (1 + 15)*(-2)/(-4). What is the greatest common divisor of | {
"pile_set_name": "DM Mathematics"
} |
e oo.
1/22
Three letters picked without replacement from {x: 3, d: 2, y: 1, k: 11, p: 2}. What is prob of sequence pxk?
11/969
Four letters picked without replacement from {u: 2, t: 6, k: 7}. Give prob of sequence kktu.
1/65
What is prob of sequence owo when three letters picked without replacement from {w: 10, s: 3, o: 3, z: 2}?
5/408
Calculate prob of sequence qw when two letters picked without replacement from {w: 1, z: 1, v: 2, c: 1, k: 1, q: 1}.
1/42
Calculate prob of sequence gf when two letters picked without replacement from jfgjgfjgjj.
1/15
Two letters picked without replacement from hwlzrzzzzzlhlrzzhg. Give prob of sequence hw.
1/102
Calculate prob of sequence vev when three letters picked without replacement from veeeveuueu.
1/72
What is prob of sequence xxx when three letters picked without replacement from xaxxxxxxxaaxxxxxxxxa?
28/57
Four letters picked without replacement from {c: 5, z: 1, f: 6, n: 1, i: 2, g: 1}. Give prob of sequence cznc.
1/2184
Two letters picked without replacement from yrymyrmymyymmyyymmm. Give prob of sequence my.
4/19
What is prob of sequence nnn when three letters picked without replacement from wwwwnwwwnnwnwnww?
1/56
Two letters picked without replacement from wuvpvxnp. Give prob of sequence up.
1/28
Calculate prob of sequence ococ when four letters picked without replacement from zzzzzzozzczzzzzoczzo.
1/9690
Three letters picked without replacement from {h: 1, y: 1, u: 1}. Give prob of sequence yhu.
1/6
Calculate prob of sequence amrg when four letters picked without replacement from {g: 6, r: 5, a: 1, m: 3}.
1/364
Four letters picked without replacement from {z: 2, x: 12, m: 3}. Give prob of sequence zmzx.
3/2380
Three letters picked without replacement from {e: 8, s: 2, a: 2, u: 2, g: 1}. What is prob of sequence sgs?
1/1365
Four letters picked without replacement from rrerrjrrjuuurrur. What is prob of sequence erur?
3/455
Two letters picked without replacement from {v: 1, g: 1, w: 1, b: 2}. What is prob of sequence gv?
1/20
Calculate prob of sequence qa when two letters picked without replacement from {h: 7, q: 10, a: 1}.
5/153
Two letters picked without replacement from hsgsrrmrhrhhshhrhsv. What is prob of sequence hr?
35/342
Calculate prob of sequence km when two letters picked without replacement from {v: 3, n: 1, m: 1, q: 2, k: 3}.
1/30
Calculate prob of sequence cc when two letters picked without replacement from {s: 2, m: 2, c: 2}.
1/15
What is prob of sequence iq when two letters picked without replacement from {q: 2, m: 2, i: 2}?
2/15
Three letters picked without replacement from {p: 3, n: 5, g: 3, w: 1}. What is prob of sequence gwg?
1/220
Calculate prob of sequence rn when two letters picked without replacement from {h: 4, w: 2, n: 4, g: 7, r: 1}.
2/153
Three letters picked without replacement from mhmmibamipaiih. Give prob of sequence ibi.
1/182
What is prob of sequence quc when three letters picked without replacement from {q: 9, u: 4, c: 3}?
9/280
Two letters picked without replacement from {a: 1, i: 1, q: 2, b: 1, e: 1, n: 1}. What is prob of sequence be?
1/42
Four letters picked without replacement from pupuvlvououq. What is prob of sequence ppul?
1/1485
Calculate prob of sequence yj when two letters picked without replacement from {e: 1, l: 2, g: 1, j: 2, y: 2}.
1/14
Three letters picked without replacement from sgysggysgssssy. Give prob of sequence ygy.
1/91
What is prob of sequence an when two letters picked without replacement from amkmaaanmuu?
2/55
Calculate prob of sequence flix when four letters picked without replacement from xxiflycf.
1/420
Calculate prob of sequence hc when two letters picked without replacement from {b: 1, l: 1, c: 1, h: 1, r: 1, n: 2}.
1/42
What is prob of sequence sv when two letters picked without replacement from {e: 3, s: 5, v: 5}?
25/156
Four letters picked without replacement from falkadaadaafd. What is prob of sequence dffd?
1/1430
Four letters picked without replacement from {d: 2, k: 11}. Give prob of sequence kkdk.
3/26
What is prob of sequence px when two letters picked without replacement from {i: 1, p: 1, x: 1}?
1/6
Calculate prob of sequence dv when two letters picked without replacement from tvvdedvvddddvfvvv.
3/17
Calculate prob of sequence uxgg when four letters picked without replacement from txxxxxxgzxgxuxzx.
1/2184
Two letters picked without replacement from {x: 11, u: 1}. Give prob of sequence xx.
5/6
Three letters picked without replacement from yoooyfsyoooa. What is prob of sequence oso?
1/44
Four letters picked without replacement from {o: 4, z: 2, s: 2, e: 3}. What is prob of sequence sooo?
1/165
Two letters picked without replacement from snuhk. What is prob of sequence kh?
1/20
Two letters picked without replacement from {m: 2, v: 3, n: 4, d: 3, p: 2, b: 1}. Give prob of sequence mn.
4/105
Calculate prob of sequence vtt when three letters picked without replacement from {y: 1, v: 1, x: 1, s: 3, t: 5, a: 1}.
1/66
Two letters picked without replacement from {a: 2, w: 1, x: 1}. Give prob of sequence xa.
1/6
Calculate prob of sequence ww when two letters picked without replacement from xxxxxxxwwxxxxwxxxxxx.
3/190
Two letters picked without replacement from ckckrkorockdkock. Give prob of sequence ro.
1/40
Calculate prob of sequence iw when two letters picked without replacement from iiwiwiiiiiiiiiiw.
13/80
Three letters picked without replacement from {x: 2, i: 1, j: 3, s: 3, o: 3, w: 7}. What is prob of sequence ijj?
1/969
Four letters picked without replacement from {x: 4, w: 2, r: 1, k: 2}. What is prob of sequence xkrw?
1/189
Four letters picked without replacement from bdoodggdbdbb. Give prob of sequence oogb.
2/1485
Calculate prob of sequence mak when three letters picked without replacement from {m: 9, a: 4, c: 1, d: 2, k: 4}.
2/95
Three letters picked without replacement from {k: 2, a: 1, q: 1, i: 5, t: 4, g: 2}. What is prob of sequence kgi?
2/273
What is prob of sequence bu when two letters picked without replacement from uzbujjjjjuujcjcjujcj?
1/76
Two letters picked without replacement from lggagggghglggggsgagv. Give prob of sequence gl.
13/190
Two letters picked without replacement from {j: 2, u: 1, d: 1, m: 1, l: 1, s: 2}. Give prob of sequence jj.
1/28
Calculate prob of sequence cccc when four letters picked without replacement from {c: 7, l: 9}.
1/52
Three letters picked without replacement from {j: 2, i: 2, w: 1, b: 1, k: 2}. Give prob of sequence jjk.
1/84
Calculate prob of sequence msk when three letters picked without replacement from nknkpnmkmpkksnsskpkn.
7/1140
Four letters picked without replacement from uuuxxuuuuu. Give prob of sequence xuux.
1/45
Two letters picked without replacement from hqnqhchcqccqwt. Give prob of sequence tq.
2/91
What is prob of sequence jjtt when four letters picked without replacement from {z: 4, l: 4, j: 2, t: 2}?
1/2970
Two letters picked without replacement from {i: 9, j: 5, o: 2}. Give prob of sequence io.
3/40
What is prob of sequence ull when three letters picked without replacement from {u: 13, m: 1, l: 3}?
13/680
Two letters picked without replacement from fjjffffdhjhjh. Give prob of sequence fj.
5/39
What is prob of sequence pyrh when four letters picked without replacement from rfppfjpyphpjpp?
1/3432
What is prob of sequence nnw when three letters picked without replacement from {w: 3, n: 4, y: 7, e: 4, v: 1}?
2/323
What is prob of sequence osuv when four letters picked without replacement from {u: 2, v: 1, q: 2, s: 1, o: 3, d: 3}?
1/1980
Four letters picked without replacement from {e: 1, j: 19}. What is prob of sequence jeee?
0
Two letters picked without replacement from jlgj. What is prob of sequence lj?
1/6
What is prob of sequence kl when two letters picked without replacement from lkl?
1/3
Two letters picked without replacement from oqoa. Give prob of sequence aq.
1/12
What is prob of sequence qy when two letters picked without replacement from yqtqdqqqqqqqffqq?
11/240
Four letters picked without replacement from lbbbbbllbbbblbbbbb. Give prob of sequence bblb.
91/765
Two letters picked without replacement from uvjzjjujzezjzjl. What is prob of sequence jj?
1/7
Four letters picked without replacement from {r: 1, u: 4, b: 3, y: 2, a: 3, z: 2}. Give prob of sequence rby | {
"pile_set_name": "DM Mathematics"
} |
0.02+-4379
-4378.98
What is 0.1 take away -1066?
1066.1
Subtract 59 from 0.2.
-58.8
Calculate -0.263 - 0.07.
-0.333
Calculate -966 + 5.
-961
Work out 1 - 612.
-611
Add -0.037 and -91.
-91.037
What is the difference between -0.219 and -3.66?
3.441
0.754 + 0.02
0.774
Total of 0.02 and -191.
-190.98
What is -20.2 minus -2?
-18.2
Add together -4 and -5295.
-5299
Put together -17 and 185877.
185860
Calculate 334 - -1810.
2144
Work out 2.3 + -2.988.
-0.688
Calculate 0.5 + -0.2492.
0.2508
Work out 0.26 - -4.9.
5.16
What is 2079 less than 0.5?
-2078.5
Work out -19.6 - -0.15.
-19.45
What is 1342 take away -0.8?
1342.8
What is the difference between 3.19 and 0?
3.19
323 + -2.3
320.7
What is 245.31 plus 0.006?
245.316
Put together 0.5 and 11887.
11887.5
What is -10.6 + 0.25?
-10.35
Add 0.5 and 6.2362.
6.7362
What is the difference between 34129 and -0.01?
34129.01
Calculate -414 - 0.2.
-414.2
Subtract 0.2 from -0.0463.
-0.2463
What is the difference between -4019 and -0.0035?
4018.9965
Total of -0.3 and -0.03372.
-0.33372
Sum 0.5 and -13001.
-13000.5
What is -3 take away 0.0123?
-3.0123
Work out -82 - -0.141.
-81.859
Add together 0.4 and -1786.1.
-1785.7
Subtract 11 from -23.2.
-34.2
What is 265 take away 1315?
-1050
What is 3.167 take away 4?
-0.833
What is -4 take away -13.774?
9.774
What is the difference between -12200 and 24?
12224
Work out -0.1 - -0.069.
-0.031
What is 2 minus -4860.6?
4862.6
What is -615 less than -2?
613
Work out -3024 - -0.04.
-3023.96
0.3+-0.029
0.271
Work out -0.11 + 290.
289.89
Work out -3 + -1823.
-1826
Calculate -1 + -1577.
-1578
Add together -0.38664 and 11.
10.61336
What is 0.0443 - 8?
-7.9557
What is -195.8666 minus 0?
-195.8666
-58 - -35.764
-22.236
-1343.9 + -517
-1860.9
Add -58743.9 and -0.4.
-58744.3
What is -25676 plus -1?
-25677
What is -93.359 take away -0.3?
-93.059
Calculate 0.4 + 19704.
19704.4
Subtract -19 from 38544.
38563
What is 7.506 plus 647?
654.506
Add together 0.205 and -0.4.
-0.195
Calculate -3670.3 + 0.5.
-3669.8
Put together -0.2 and 0.05204.
-0.14796
Put together 372 and 17.
389
What is the distance between -0.2 and -10.89?
10.69
Add together -0.5 and -32.
-32.5
What is -0.121 take away 0.054?
-0.175
Sum 485 and -0.9.
484.1
9.6039 + 5
14.6039
1103 + -1297
-194
What is 0.024 plus -0.316?
-0.292
What is -37231 less than -2?
37229
Add -6 and -17789.
-17795
Sum 88.4 and -0.3.
88.1
Sum 104 and 713.
817
What is 0.2078 less than -0.4?
-0.6078
What is 18 less than 4.4?
-13.6
Calculate 73.28 - -0.0116.
73.2916
Calculate -0.6 - 124899.
-124899.6
36+-103
-67
Calculate 0.2 - -15749.5.
15749.7
-19 + 27932
27913
Add together 0.0444 and 1.
1.0444
93+0.5
93.5
123+-9
114
Calculate -53 + 0.07.
-52.93
What is -20845 take away 0.2?
-20845.2
Work out -1855 + 14.
-1841
-0.01 - -92724
92723.99
What is the distance between -0.11 and -0.632?
0.522
Add -14 and 4.625.
-9.375
Subtract 158 from 4.1.
-153.9
What is -2 minus -71.7?
69.7
Add together -2696 and -50.
-2746
What is the distance between -95 and -153?
58
Work out 1074 + 43.
1117
Calculate 0.24 + 54.6.
54.84
What is 0.4 + 0.7507?
1.1507
Sum -989 and -874.3.
-1863.3
What is -17 + 0.314?
-16.686
Put together 0.4 and -165870.
-165869.6
-8218 - -0.5
-8217.5
Work out -150922 - -2.
-150920
Calculate -119 + 0.224.
-118.776
1.847+46
47.847
What is 0.1052 plus -2.535?
-2.4298
Total of -391 and 1.
-390
What is 0.55 less than 51.31?
50.76
Add together -0.06715 and 18.
17.93285
Sum 4 and 2.041.
6.041
Put together -0.4 and 371.
370.6
What is -479366 take away -0.2?
-479365.8
What is the distance between 15719310 and -5?
15719315
What is -2 take away 2.797?
-4.797
Calculate -0.03 - -169.58.
169.55
Calculate -0.13775 + -0.9.
-1.03775
What is -0.4 less than 906?
906.4
What is 2 + 77.0341?
79.0341
Total of 0.1 and -2.236.
-2.136
What is 0.7 plus -0.11476?
0.58524
What is -29 less than 37?
66
Total of 519 and 0.8.
519.8
-129996+0.2
-129995.8
Work out 89 - 0.2.
88.8
What is 89.1402 minus -4?
93.1402
What is the difference between 0.040395 and -1.9?
1.940395
Work out 0.04 + -0.0246136.
0.0153864
What is -7.53 - -1499?
1491.47
Subtract 1.1 from -79088.
-79089.1
What is 2947 less than -0.0389?
-2947.0389
Add 44825 and -0.2.
44824.8
Put together -52 and 1.998.
-50.002
-31 - 5.451
-36.451
What is 79.149 + 0.4?
79.549
Add together -0.37161 and -3.
-3.37161
Calculate 0.08 + 0.004.
0.084
What is -3 minus 19763?
-19766
What is -566 minus 36?
-602
Calculate 1813 + -399.
1414
What is 0.9463 - -4?
4.9463
-8026 - -0.3
-8025.7
What is -1885 take away -11?
-1874
What is 25.46 less than 2780?
2754.54
Add together 0.4 and -2.840727.
-2.440727
5+0.3833
5.3833
Put together 0.3 and 401.9.
402.2
-0.1056+-124
-124.1056
Add together 18.398 and 1.4.
19.798
Subtract -7.551 from -104.
-96.449
What is -534.2 - 0.2?
-534.4
Put together -4273 and 0.171.
-4272.829
9 + -6.52
2.48
Add together -266 and 13.
-253
Work out -1.5 + -0.754725.
-2.254725
Subtract -116.6 from 310.
426.6
What is 69741 + 0.06?
69741.06
-0.1 + -0.12028
-0.22028
What is -0.27218 less than 5?
5.27218
Calculate 14 + 1.26.
15.26
What is the distance between -0.1 and -0.68242?
0.58242
Calculate -109 + -16.
-125
What is -52 - -0.0943?
-51.9057
Subtract -33320 from 0.2.
33320.2
Subtract 0.3 from -10149.
-10149.3
What is -9401 + 0.039?
-9400.961
Add -0.4 and 65.
64.6
Work out 14 - -13983.
13997
Add -19.9 and 217.
197.1
185+-4100
-3915
-14 + -2243
-2257
What is -419 take away 0.07?
-419.07
Work out -1.11 + -0.13.
-1.24
0.8396 + -2
-1.1604
What is the distance between 0.3 and -199.1529?
199.4529
What is -0.01 plus 10.538?
10.528
Sum -56 and 0.4.
-55.6
Work out -8.735 - 1.
-9.735
Calculate -326.9 - 0.3.
-327.2
What is -4 less than -0.1233157?
3.8766843
Calculate 0.9 - 2253.
-2252.1
Sum 0.4 and -7931.
-7930.6
What is the distance between -577779 and 5?
577784
Calculate -0.3 + -45.94.
-46.24
Add -0.56 and -43.
-43.56
Add together -0.6465 and 1.
0.3535
-146 + 3.8
-142.2
Work out 38 + 0.13699.
38.13699
Subtract 2.283 from 2.
-0.283
Sum -760 and 1025.
265
What is 120 less than -9834?
-9954
Put together 0.6 and 0.28.
0.88
Work out 3 + 52695.
52698
What is -0.3 minus 452?
-452.3
What is -523.14 plus 1?
-522.14
What is -2 - -2209?
2207
Subtract -0.379 from -6.
-5.621
1.37 - 14526
-14524.63
What is -30 take away 0.4445?
-30.4445
Calculate -0.2687 - 621.
-621.2687
What is 1.02111 + -3?
-1.97889
2692654 + 0
2692654
Add 0.0391 and -0.2.
-0.1609
Total of 6913439 and -4.
6913435
Work out 21.6 - 16.634.
4.966
What is 0.5 plus 865?
865.5
Add together -0.1 and 2.5.
2.4
What is -0.3 - 1179?
-1179.3
Calculate -97363 + -33.
-97396
Sum 865 and 3.46.
868.46
What is 0.018 + -2.01?
-1.992
What is 2149 minus 0.1?
2148.9
Calculate -0.2 - -240117.
240116.8
Put together -5.35 and 1.2.
-4.15
Put together -7170.26 and 0.2.
-7170.06
What is the difference between -186 and -29872?
29686
Calculate 166837 - -0.2.
166837.2
What is 0.2 + -1618?
-1617.8
Work out 82.218 + -0.1.
82.118
What is 68 plus -11280?
-11212
Work out -1.3 + 642.19.
640.89
-19 + 0.104
-18.896
What is 0.5 less than -0.3487?
-0.8487
What is 0.7 - -0.063?
0.763
-10.7 + -129
-139.7
Work out -21.3 - -0.43.
-20.87
What is 167 - 0.339?
166.661
Add together 3222 and -247.
2975
What is 2.6 + -1.49?
1.11
Put together -2019 and -0.1098.
-2019.1098
Work out 1 - -227.405.
228.405
Calculate -541 - -492.
-49
What is -29434 minus -57?
-29377
Calculate 6.685 + 0.
6.685
24.9492 + -7
17.9492
Calculate -32 - 32.15.
-64.15
Work out -1666 - 2.
-1668
What is 0.1 - 545592?
-545591.9
Add -3 and 146.36.
143.36
What is 0.127 minus 0?
0.127
Add -2702 and 2.1.
-2699.9
Work out 558 + -0.14.
557.86
What is -35.7 minus 0.82?
-36.52
-0.131 - 30084
-30084.131
What is -0.3 less than -12.07?
-11.77
What is the difference between -1.1598 and -0.04?
1.1198
Add together 133 and -2.
131
What is 92 plus -0.0301?
91.9699
What is the distance between 0.19 and 447?
446.81
What is -6 minus -0.0509?
-5.9491
Work out 0.47454 + -0.22.
0.25454
Add -102 and -420.
-522
What is the difference between 2.39 and -0.1?
2.49
What is 2838937 plus -1?
2838936
Add 140751 and -3.
140748
Add 203.8 and 0.97.
204.77
What is -185 - 60.18?
-245.18
Total of -686 and 5.
-681
Work out -44.96 - -0.3.
-44.66
What is the difference between 1.57 and -80.4?
81.97
34.2 - -80
114.2
What is t | {
"pile_set_name": "DM Mathematics"
} |
4*z**3/11 + 80042*z**2/11 + 85344*z/11 = 0?
-2667, -1, 0, 16
Factor 4*c**2 + 2940*c - 2944.
4*(c - 1)*(c + 736)
Factor 2*h**5 + 110*h**4 + 108*h**3.
2*h**3*(h + 1)*(h + 54)
Find g, given that -5*g**4/2 - 33255*g**3/4 - 49865*g**2/4 - 4155*g = 0.
-3324, -1, -1/2, 0
Factor 2*i**2 + 1560*i - 1562.
2*(i - 1)*(i + 781)
Determine b so that 3*b**4 + 2475*b**3 + 12324*b**2 + 19692*b + 9840 = 0.
-820, -2, -1
Factor 12*c**3 + 77720*c**2 + 284796*c - 103568.
4*(c + 4)*(c + 6473)*(3*c - 1)
Solve o**3/3 + 968*o**2/3 - 15716*o/3 + 9184 = 0 for o.
-984, 2, 14
Factor o**4/3 - 112*o**3 - 339*o**2 - 4*o/3 + 452.
(o - 339)*(o - 1)*(o + 2)**2/3
Factor -b**3/7 + 61*b**2/7 - 1144*b/7 + 6084/7.
-(b - 26)**2*(b - 9)/7
Factor x**3/5 - 13*x**2 + 471*x/5 - 171.
(x - 57)*(x - 5)*(x - 3)/5
Find n, given that -n**3 + 409506*n**2 - 41923791009*n = 0.
0, 204753
Factor -2*d**4 + 1432*d**3 - 243116*d**2 - 4729896*d - 21819618.
-2*(d - 367)**2*(d + 9)**2
Find c such that c**3/3 + 208*c**2/3 + 4352*c + 86016 = 0.
-112, -48
Determine o, given that o**5 + 1560*o**4 + 33812*o**3 - 36934*o**2 - 33813*o + 35374 = 0.
-1538, -23, -1, 1
Determine d so that d**4/11 - 309*d**3/11 + 2113*d**2/11 + 309*d/11 - 2114/11 = 0.
-1, 1, 7, 302
Factor 4*h**2 + 36640*h + 36636.
4*(h + 1)*(h + 9159)
Determine m so that m**4/8 + 13*m**3/8 - 1149*m**2/8 - 13*m/8 + 287/2 = 0.
-41, -1, 1, 28
Suppose -32*f**5/19 - 5840*f**4/19 + 20782*f**3/19 - 9294*f**2/19 + 1116*f/19 = 0. Calculate f.
-186, 0, 1/4, 3
Find h, given that -h**5/4 + 3*h**4/2 + 114*h**3 - 617*h**2/2 - 53703*h/4 - 13005 = 0.
-15, -12, -1, 17
Determine v, given that 2*v**4/5 - 42*v**3/5 + 138*v**2/5 + 1562*v/5 - 1452 = 0.
-6, 5, 11
What is w in -w**5/4 + 455*w**4/4 - 51527*w**3/4 - 52439*w**2/4 + 12882*w + 12996 = 0?
-1, 1, 228
Factor -a**5/3 + 160*a**4/3 - 7678*a**3/3 + 34080*a**2 - 136107*a.
-a*(a - 71)**2*(a - 9)**2/3
Find j such that -4*j**5 + 24088*j**4 + 241180*j**3 + 603200*j**2 = 0.
-5, 0, 6032
Determine k so that 2*k**3 + 72*k**2 - 10752*k - 476672 = 0.
-56, 76
Determine i, given that -i**4/3 - 138*i**3 + 12805*i**2 - 830000*i/3 + 264000 = 0.
-495, 1, 40
Let d**4/5 + 4058*d**3/5 + 18585*d**2 + 484056*d/5 - 116208 = 0. What is d?
-4035, -12, 1
Factor d**4 + 48*d**3 + 351*d**2.
d**2*(d + 9)*(d + 39)
Factor -n**2/2 + 10763*n/6 + 598.
-(n - 3588)*(3*n + 1)/6
Determine i, given that -2*i**5/11 + 318*i**4/11 - 364*i**3/11 - 40440*i**2/11 - 158256*i/11 = 0.
-6, 0, 14, 157
Determine l so that -3*l**2 - 4140*l + 122583 = 0.
-1409, 29
Factor -c**2/6 - 97*c/3 + 200.
-(c - 6)*(c + 200)/6
Solve 4*y**5/5 + 4*y**4/5 - 2244*y**3/5 - 21172*y**2/5 + 448*y + 21168/5 = 0.
-14, -1, 1, 27
Factor v**2/2 - 18028*v + 180255/2.
(v - 36051)*(v - 5)/2
Let -4*w**3 + 244*w**2 + 516*w - 756 = 0. What is w?
-3, 1, 63
Factor 57*p**2/7 + 873*p/7 - 624/7.
3*(p + 16)*(19*p - 13)/7
Find g, given that -5*g**5/3 + 580*g**4/3 - 13705*g**3/3 - 178450*g**2/3 - 204960*g - 211680 = 0.
-4, -2, 63
Determine g so that -g**5/6 + 25*g**4/6 - 139*g**3/6 + 77*g**2/2 + 12*g - 54 = 0.
-1, 2, 3, 18
Factor 5*b**4 + 385*b**3 + 7420*b**2 + 7040*b.
5*b*(b + 1)*(b + 32)*(b + 44)
Determine o, given that 2*o**5 + 58*o**4 + 580*o**3 + 2372*o**2 + 4026*o + 2178 = 0.
-11, -3, -1
Determine a so that 5*a**5 + 136*a**4 - 738*a**3 + 952*a**2 - 259*a - 96 = 0.
-32, -1/5, 1, 3
Factor b**3/5 + 1066*b**2/5 + 4251*b/5 + 3186/5.
(b + 1)*(b + 3)*(b + 1062)/5
Suppose 3*x**2/2 - 93*x/2 - 333 = 0. Calculate x.
-6, 37
Factor -460800*a**2/11 + 55680*a/11 - 1682/11.
-2*(480*a - 29)**2/11
Let f**3 + 463*f**2 + 59675*f + 1365581 = 0. What is f?
-217, -29
Solve 2*s**2/3 + 98536*s/15 - 39416/15 = 0 for s.
-9854, 2/5
Solve 62795348100*w**2 - 1002360*w + 4 = 0 for w.
1/125295
Suppose -u**2/2 + 46*u - 2115/2 = 0. What is u?
45, 47
Let 3*h**4 + 47490*h**3 + 187894179*h**2 - 375930840*h + 187989168 = 0. What is h?
-7916, 1
Suppose 2*v**4 + 866*v**3 + 18860*v**2 = 0. Calculate v.
-410, -23, 0
Find r such that 5*r**5 - 80*r**4 - 195*r**3 + 230*r**2 + 700*r + 360 = 0.
-2, -1, 2, 18
Factor -3*n**3/8 + 484641*n**2/8 - 969273*n/8 + 484635/8.
-3*(n - 161545)*(n - 1)**2/8
Determine r so that -5*r**3 - 1114555*r**2 = 0.
-222911, 0
Solve 3*n**5/5 + 9093*n**4/5 - 72903*n**3/5 + 100311*n**2/5 + 14580*n - 109404/5 = 0 for n.
-3039, -1, 1, 2, 6
Let -6*f**3 + 43*f**2 - 37*f - 30 = 0. Calculate f.
-1/2, 5/3, 6
Factor z**5/6 + 7*z**4/3 + 8*z**3 - 7*z**2/3 - 49*z/6.
z*(z - 1)*(z + 1)*(z + 7)**2/6
Find q, given that 4*q**2 - 1444*q - 344400 = 0.
-164, 525
Suppose -35*s**2 + 121565*s - 520350 = 0. What is s?
30/7, 3469
Factor 20*b**3 + 165*b**2 - 620*b - 165.
5*(b - 3)*(b + 11)*(4*b + 1)
Suppose -x**5/4 - 119*x**4/2 + 3531*x**3/4 + 178*x**2 - 2765*x + 1764 = 0. What is x?
-252, -2, 1, 14
Suppose 4*y**3/5 + 1956*y**2/5 + 63648*y + 17229888/5 = 0. What is y?
-177, -156
Solve -u**2/2 - 2469*u/2 + 3708 = 0.
-2472, 3
Factor -5*w**2 + 1760*w - 1755.
-5*(w - 351)*(w - 1)
Factor -45*u**2 + 49480*u - 76860.
-5*(u - 1098)*(9*u - 14)
Let 2*o**3 + 1104*o**2 + 79558*o + 78456 = 0. What is o?
-467, -84, -1
What is q in 2*q**2 + 178620*q + 3988138050 = 0?
-44655
Factor -l**2/3 - 145729*l - 437186/3.
-(l + 1)*(l + 437186)/3
Suppose 2948*u**2 + 1476*u - 72 = 0. Calculate u.
-6/11, 3/67
Factor 5*w**4 + 1025*w**3 - 6285*w**2 + 9495*w.
5*w*(w - 3)**2*(w + 211)
Factor -2*d**2 - 1568*d - 26078.
-2*(d + 17)*(d + 767)
Solve -4*d**3/9 - 9196*d**2/9 - 18356*d/3 - 9172 = 0.
-2293, -3
Factor -4*k**3/3 + 352*k**2/3 - 3068*k/3 - 24640/3.
-4*(k - 77)*(k - 16)*(k + 5)/3
Factor -3*x**3 + 310686*x**2 + 1242780*x + 1242792.
-3*(x - 103566)*(x + 2)**2
Factor 2*x**3 - 1093*x**2/2 - 1927*x/2 + 275.
(x - 275)*(x + 2)*(4*x - 1)/2
Factor -p**3/4 - 12*p**2 + 891*p - 11132.
-(p - 22)**2*(p + 92)/4
Factor 5*d**3 + 1145*d**2 - 8350*d - 21240.
5*(d - 9)*(d + 2)*(d + 236)
Solve 2*y**3/15 - 50*y**2/3 - 764*y/15 - 512/15 = 0 for y.
-2, -1, 128
Factor -2*t**2/3 - 286*t/3 + 144172.
-2*(t - 399)*(t + 542)/3
Factor -2*t**3 + 169194*t**2 - 676752*t + 676744.
-2*(t - 84593)*(t - 2)**2
Factor 5*k**2 - 146005*k - 730150.
5*(k - 29206)*(k + 5)
Determine q so that 2*q**5/5 - 190*q**4/3 + 39604*q**3/15 - 158164*q**2/15 + 155078*q/15 - 11858/5 = 0.
1/3, 1, 3, 77
Factor 2*y**2 - 5705720*y + 4069405089800.
2*(y - 1426430)**2
Factor -2*w**2 + 4134*w - 28840.
-2*(w - 2060)*(w - 7)
Factor 5*q**2/3 + 8690*q/3 - 8695/3.
5*(q - 1)*(q + 1739)/3
Let -5*f**3 - 385*f**2 + 42400*f + 42780 = 0. Calculate f.
-138, -1, 62
Suppose -4*f**5 - 2104*f**4 + 185108*f**3 - 3680600*f**2 - 4246400*f + 7744000 = 0. What is f?
-605, -2, 1, 40
Factor -2*r**2 + 106754*r + 213516.
-2*(r - 53379)*(r + 2)
Suppose -3*l**5 + 492*l**4 + 507*l**3 - 1968*l**2 - 1980*l = 0. Calculate l.
-2, -1, 0, 2, 165
Factor -2*o**4/5 + 1394*o**3 - 6968*o**2/5.
-2*o**2*(o - 3484)*(o - 1)/5
Factor -p**4/11 + 685*p**3/11 - 186*p**2.
-p**2*(p - 682)*(p - 3)/11
Factor 2*k**2 - 62204*k + 483667202.
2*(k - 15551)**2
Factor 5*x**2/6 - 1236010*x + 458316216030.
5*(x - 741606)**2/6
Factor -140*z**3 - 37388*z**2 - 2136*z.
-4*z*(z + 267)*(35*z + 2)
Factor 5*c**2 - 152540*c - 152545.
5*(c - 30509)*(c + 1)
Suppose 8*c**2 + 964*c - 71760 = 0. What is c?
-345/2, 52
Factor -i**3/4 + 171*i**2/2 + 4237*i/4 + 1947/2.
-(i - 354)*(i + 1)*(i + 11)/4
Solve -z**4/2 - 3*z**3 + 721*z**2/2 + 3*z - 360 = 0 for z.
-30, -1, 1, 24
Factor -y**2/3 - 135*y - 1188.
-(y + 9)*(y + 396)/3
Suppose 3*u**2 + 91875*u + 275598 = 0. Calculate u.
-30622, -3
Factor -v**3/6 - 106*v**2/3 - 2009*v/6 + 1111/3.
-(v - 1)*(v + 11)*(v + 202)/6
Factor n**4/2 + 64849*n**3 + 4205522497*n**2/2 + 4205327952*n + 2102631552.
(n + 1)**2*(n + 64848)**2/2
Factor -898880*j**2 - 106000*j - 3125.
-5*(424*j + 25)**2
Solve -2*t**4 + 364*t**3 + 801438*t**2 - 74438000*t - 83640500000 = 0.
-409, 500
Find m, given that 1587762*m**2/23 + 71280*m/23 + 800/23 = 0.
-20/891
Suppose -2*i**5/3 - 30*i**4 - 430*i**3 - 4990*i**2/3 + 5100*i + 13872 = 0. What is i?
-17, -12, -2, 3
Find y such that y**3 - 409*y**2 + 1218*y = 0.
0, 3, 406
Find b such that -5*b**4/4 - 65*b**3/4 + 115*b**2 + 15*b - 540 = 0.
-18, -2, 3, 4
Let 3*c**4/5 + 396*c**3/5 + 2301*c**2/5 + 4176*c/5 + 2268/5 = 0. Calculate c.
-126, -3, -2, -1
Solve -5*o**3 - 80*o**2 + 925*o - 840 = 0 for o.
-24, 1, 7
Determine d so that -5*d**2 + 2205*d + 117360 = 0.
-48, 489
Factor | {
"pile_set_name": "DM Mathematics"
} |
the fourth smallest value? (a) -0.3 (b) -3/4 (c) 2/3 (d) -1
c
Which is the second smallest value? (a) -2/7 (b) -0.02 (c) -0.12
c
What is the third biggest value in 4/9, 3/8, -8, 4/5, 1?
4/9
Which is the fifth biggest value? (a) 2/7 (b) 0.1 (c) -5 (d) -26 (e) 2
d
Which is the fourth smallest value? (a) 5 (b) 0.04 (c) -2 (d) 0.1 (e) 3
e
What is the third smallest value in 1, -19, -3?
1
What is the smallest value in -1/5, 1, -4, -1/4?
-4
Which is the second biggest value? (a) -99/5 (b) -1/2 (c) 4
b
What is the second smallest value in -0.2, 0, 1, 335?
0
What is the biggest value in 0.0733, -3, -2?
0.0733
Which is the fifth biggest value? (a) -2/9 (b) 4 (c) 2 (d) 1 (e) 1/4
a
Which is the smallest value? (a) -3 (b) 2 (c) -1/5
a
What is the third biggest value in 7, -1, -10/21, 1/4?
-10/21
What is the second biggest value in 16, 0.04, -0.4, 4/3?
4/3
Which is the second biggest value? (a) 1/4 (b) -1 (c) 1/3 (d) 0.3
d
What is the fifth biggest value in 0, 3, 38, -0.4, -1?
-1
What is the second biggest value in 1, -81, 4/7?
4/7
Which is the second biggest value? (a) 0.2 (b) -409/2 (c) 0.4
a
What is the fifth biggest value in -0.5, -2/7, 5, 0, -1.5?
-1.5
Which is the fourth biggest value? (a) -5 (b) -23/3 (c) 1/4 (d) 0.2 (e) 3
a
What is the third biggest value in -0.05, -33, 5?
-33
Which is the second biggest value? (a) 0.5 (b) 15 (c) 1/7 (d) -7/4
a
What is the fourth smallest value in -0.27, 0.1, 5, 3?
5
What is the fourth smallest value in 2/5, 0.3, 92, -1, -2/7?
2/5
Which is the third biggest value? (a) -666 (b) 2 (c) -1/5 (d) -0.06 (e) 3
d
Which is the smallest value? (a) 3 (b) -1/231 (c) -0.16
c
Which is the third smallest value? (a) -5 (b) 1 (c) -26 (d) 4
b
What is the third smallest value in -26, 23, -2/13, -1/11?
-1/11
Which is the third smallest value? (a) -9/8 (b) 6 (c) 2/11 (d) -1/6
c
What is the fifth biggest value in -21, 5, 0.09, 3, -0.03?
-21
What is the third biggest value in -2, 0.2, 2, -0.3?
-0.3
What is the fourth biggest value in 0.2, 5, -0.6, -12/5?
-12/5
What is the second smallest value in -1/363, 4, 2?
2
What is the third smallest value in -2/11, -4, -5, 5, 1?
-2/11
Which is the second smallest value? (a) -13 (b) 0.5 (c) -4/7
c
Which is the fourth smallest value? (a) 1/3 (b) 3 (c) -0.7 (d) 2/3
b
Which is the third smallest value? (a) -0.5 (b) -142 (c) 0.02
c
What is the third smallest value in 0.5, -33, 0.0357?
0.5
What is the fifth smallest value in 2, -2, -106, -0.1, 0.2?
2
What is the second biggest value in -0.0806, 0, -4/7?
-0.0806
What is the biggest value in -0.4, -0.2, -1/2, 48, 3?
48
Which is the third biggest value? (a) -1/3 (b) -3 (c) 2 (d) -5/2
d
Which is the second smallest value? (a) 0.02 (b) -1.6 (c) 4/3 (d) -1
d
What is the third biggest value in -2/3, -1, 0, -0.103?
-2/3
Which is the smallest value? (a) 3/4 (b) -9 (c) 0.142
b
Which is the third biggest value? (a) 1/5 (b) 8/3 (c) 1
a
What is the fifth biggest value in 7, -0.2, 12, -32, 0.1?
-32
What is the second smallest value in 0, 2/1413, -4?
0
What is the smallest value in -0.5, -0.1, 2/365, -5?
-5
What is the second biggest value in -5/3, 5, 1, 4?
4
What is the biggest value in -3, 0.2, 0.1, 7, -1/10?
7
Which is the third smallest value? (a) -0.9 (b) 1/2 (c) -4 (d) -1/5
d
What is the third biggest value in -8, 1, -5, -6/11?
-5
Which is the third smallest value? (a) 6 (b) 9.2 (c) 4 (d) -4
a
What is the biggest value in 62, 8, -0.04?
62
What is the third smallest value in -2/13, -5, 154, -0.5?
-2/13
Which is the third smallest value? (a) 1/5 (b) 2/3 (c) 13/2 (d) -2/19 (e) -4
a
What is the biggest value in 368, 5, 4?
368
Which is the biggest value? (a) 71 (b) 4 (c) -6.2
a
What is the smallest value in 2/13, -48, -0.3?
-48
What is the second biggest value in -4, -1/4, 0.06?
-1/4
Which is the second smallest value? (a) -1 (b) -17 (c) -3
c
What is the third smallest value in 3/4, 1/2, -4?
3/4
What is the third smallest value in 4, -5, 68, -2/15?
4
What is the fourth smallest value in -0.4, 0.3, 0.04, -0.1?
0.3
What is the smallest value in 0.1095, -2, -0.3?
-2
Which is the third biggest value? (a) -59/2 (b) 0.2 (c) -5
a
What is the fifth smallest value in -0.1, 0.1, 1/7, -12/35, -3/13?
1/7
What is the third biggest value in 2, -0.4034, 1/2?
-0.4034
Which is the fourth biggest value? (a) -0.6 (b) -3 (c) -5 (d) -6
d
What is the smallest value in 3, 0.4, 10/9, -1/5, -2?
-2
What is the third smallest value in 0.3, -0.14, -0.3, -0.1, 2?
-0.1
Which is the biggest value? (a) -5/6 (b) -1/82 (c) 0
c
What is the biggest value in 0.3, 8, -1/4, -23?
8
What is the smallest value in 0, 0.3, -49, 1/2, 0.1?
-49
Which is the fourth biggest value? (a) -2/3 (b) 2 (c) 3/5 (d) 27 (e) 3/8
e
What is the third biggest value in 0.01, 5, 4, 27?
4
Which is the second biggest value? (a) -2 (b) 0.01 (c) 354/11
b
Which is the smallest value? (a) 0.24 (b) 3/5 (c) -19 (d) 0.4
c
What is the second smallest value in -4, 1, -38/15?
-38/15
What is the fifth biggest value in 4, 0.037, -0.5, -2, -0.2?
-2
Which is the second smallest value? (a) 0.4 (b) 4/5 (c) 2/47 (d) -3/8
c
Which is the smallest value? (a) 2/51 (b) 0.2 (c) 10
a
Which is the biggest value? (a) -2/23 (b) 64 (c) 4
b
What is the smallest value in 77, 0, 2/7?
0
What is the second smallest value in 2.5, -11, 0.1?
0.1
Which is the third biggest value? (a) 2/11 (b) -4 (c) 2/9 (d) -0.2
d
What is the second smallest value in 0.07894, 1/3, 1/10?
1/10
What is the second biggest value in -1/3, -18, -0.4, 4, 0?
0
Which is the third biggest value? (a) -0.8 (b) -0.151 (c) 3
a
Which is the third biggest value? (a) -4 (b) 42 (c) 1
a
Which is the second biggest value? (a) -2/81 (b) 0.37 (c) 4 (d) -4
b
What is the smallest value in 0.06, 0.17, -1?
-1
What is the fifth biggest value in 15, 1, 13, -2, 2/5?
-2
Which is the third biggest value? (a) 2/5 (b) 17 (c) -2 (d) 3
a
What is the second smallest value in -1, 2/3, 0.2, -5?
-1
What is the third smallest value in 56, 1/2, -0.39?
56
What is the biggest value in 2/89, 0.011, -0.1?
2/89
What is the smallest value in -2/13, 0, -110, 4?
-110
Which is the biggest value? (a) -4 (b) 2/5 (c) 1/12
b
Which is the third biggest value? (a) 7 (b) 1/8 (c) 0.16 (d) -5
b
What is the second smallest value in 4, 2, -2/7, -7?
-2/7
What is the second biggest value in 22/5, -0.2, 3/8?
3/8
What is the fourth biggest value in 1.2, 0.4, -5, -1?
-5
Which is the smallest value? (a) 15 (b) -5 (c) 5
b
What is the fourth biggest value in 0.1, 32, 2/23, -4?
-4
What is the third biggest value in 4, 3/4, -4, 3?
3/4
Which is the biggest value? (a) 2 (b) 0.1 (c) 3 (d) 342/35
d
What is the second smallest value in 2/3, 19, 3/8?
2/3
What is the third biggest value in 3, -0.043, -3, 2/9, 0.2?
0.2
What is the third smallest value in 2, -35, -5?
2
Which is the fourth biggest value? (a) 4 (b) 0.4 (c) 3/5 (d) 1/11 (e) -4
d
Which is the third smallest value? (a) 2 (b) -2 (c) 482 (d) -1/2
a
Which is the third smallest value? (a) -5 (b) 3/2 (c) -0.43 (d) 0.4 (e) 1
d
Which is the smallest value? (a) 11.993 (b) 1/2 (c) -0.5
c
Which is the biggest value? (a) -0.2 (b) -4 (c) -4/109
c
What is the biggest value in -0.03, 1, -1/19?
1
What is the third biggest value in 29, -1/11, -0.1, 2/11, 1/3?
2/11
Which is the third biggest value? (a) -0.3 (b) -3 (c) 2/273 (d) -5 (e) 2/9
a
What is the second biggest value in -1.1, 1, 3, -0.05, -1?
1
What is the third biggest value in 3, 14/3, -17, -4?
-4
What is the second smallest value in -4, -5, 1/5?
-4
What is the second smallest value in 1/20, 1, 2/9?
2/9
Which is the second biggest value? (a) 21 (b) 1/11 (c) 2
c
What is the fifth smallest value in 3, 1/2, 26, 2/7, -2/11?
26
Which is the third smallest value? (a) -7 (b) 4 (c) -1/5
b
Which is the third smallest value? (a) 21 (b) 2 (c) -0.2
a
Which is the biggest value? (a) -0.55 (b) -2 (c) -16 (d) -3/4
a
Which is the biggest value? (a) -1/7 (b) 1/10 (c) -6 (d) 1/3
d
Which is the fourth smallest value? (a) -1 (b) -3 (c) 2/13 (d) 14 (e) -0.4
c
What is the third smallest value in 0, -31, 3/58?
3/58
Which is the second smallest value? (a) 1/5 (b) -16 | {
"pile_set_name": "DM Mathematics"
} |
6*q(z).
z**3 + 2*z
Let v(k) = 6*k - 26. Let q(d) be the second derivative of -d**3/6 + 5*d**2/2 + 13*d. What is -16*q(j) - 3*v(j)?
-2*j - 2
Suppose 0 = 4*x + 12 + 4. Let f(k) = -3*k**2 + 4*k + 2. Let d(g) = -4*g**2 + 5*g + 2. Determine x*d(u) + 5*f(u).
u**2 + 2
Let m(a) = 2*a. Let u(t) = -4*t + 5. Let z(n) = n - 1. Let h(o) = -u(o) - 5*z(o). What is -7*h(f) - 3*m(f)?
f
Let x(n) be the second derivative of -n**3/2 + 2*n + 20. Let v(f) = -f + 2. Let y(i) = 2*i - 3. Let t(k) = 3*v(k) + 2*y(k). Determine -5*t(p) - x(p).
-2*p
Let h(z) = 30*z**3 - 10*z**3 - z - 14*z**2 - 5*z. Let l(x) = -5*x**2 - 2*x - 22*x**3 + 10*x**3 + 19*x**3. Calculate 5*h(o) - 14*l(o).
2*o**3 - 2*o
Let p(t) = 4*t - 2 - 5*t + 3*t**2 + 7 + 4*t**2. Suppose 1 - 12 = -u + 2*n, 0 = -3*u + n + 18. Let o(x) = 8*x**2 - x + 6. Determine u*o(j) - 6*p(j).
-2*j**2 + j
Let i(h) = -h - 1. Let r(x) = -7*x - 1. Calculate -6*i(u) + r(u).
-u + 5
Let l(q) be the third derivative of 5*q**4/12 - q**3 + 10*q**2. Let r(a) be the third derivative of 7*a**4/24 - 2*a**3/3 + 2*a**2. Determine -5*l(f) + 7*r(f).
-f + 2
Let l(i) = i**3 + 5*i**2 + 1. Let x = -9 - -6. Let w = -10 + 12. Suppose -s - w*c = -6*c - 14, 5*c + 20 = 0. Let q(v) = -4*v**2. What is s*l(k) + x*q(k)?
-2*k**3 + 2*k**2 - 2
Let z(o) = 3*o - 2 - 6*o + 0*o + o**3. Let h(g) = -3*g - 5*g - 3 - 3 + 2*g**3. Give 3*h(p) - 8*z(p).
-2*p**3 - 2
Let k(u) = -26*u + 17. Let i(c) = -9*c + 6. Let d be 2/(-10) - (-172)/10. Calculate d*i(m) - 6*k(m).
3*m
Let z(p) = -2. Let a(r) be the third derivative of r**4/24 + r**3/2 + 3*r**2. What is 2*a(x) + 3*z(x)?
2*x
Let h(x) = -3*x**3 - 5*x**2 - 5*x - 7. Suppose 5*c - 180 - 35 = 0. Suppose -2*d - 15 = -c. Let n(k) = 8*k**3 + 14*k**2 + 14*k + 20. Calculate d*h(g) + 5*n(g).
-2*g**3 + 2
Let b(t) = -23*t**3 - 11. Let h(y) = -11*y**3 - 6. Calculate -6*b(r) + 11*h(r).
17*r**3
Let x(i) = 12*i + 3. Let r(o) = -37*o - 8. Calculate 3*r(w) + 8*x(w).
-15*w
Let m(y) = -7*y**3 - 3*y + 3. Let l(s) = -8*s**3 - 4*s + 4. Suppose -3*u + 3 = 3*z, 4*u - 5*u + 2*z - 14 = 0. Determine u*m(i) + 3*l(i).
4*i**3
Let j(r) = 7*r**2 + 14*r - 7. Let o(x) = -3*x**2 - 7*x + 3. Give -2*j(v) - 5*o(v).
v**2 + 7*v - 1
Let x(z) = -7*z**2 + 10*z - 4. Let u(s) = 8*s**2 - 11*s + 4. Let l(w) = 5*u(w) + 6*x(w). Let h(o) = 0*o - 5*o + 1 + 5*o - o. Calculate -4*h(n) - l(n).
2*n**2 - n
Let z be ((-2)/(-6))/((-3)/(-45)). Let a(h) = 10*h - z*h**2 - 8*h + 2 + 3*h**2. Let x(g) = -3*g**2 + 3*g + 3. Let d = -11 + 21. Give d*a(o) - 6*x(o).
-2*o**2 + 2*o + 2
Let y = 3 + -2. Let d(x) = 3*x**2 - 2*x + 2. Let a(f) = 2 + f**2 - 1 + 2709*f - 2710*f. Give y*d(i) - 4*a(i).
-i**2 + 2*i - 2
Suppose 0 = -2*q + 8 + 4. Let f(x) = -4*x**2 - 6*x. Let n(k) = 3*k**2 + 5*k. Calculate q*n(r) + 5*f(r).
-2*r**2
Let a(z) = -6 + 4 + 4. Let y(l) = -3*l**2 - 10. Let v(b) = 4*b**2 + 15. Let d(u) = -5*v(u) - 7*y(u). What is 5*a(j) + 2*d(j)?
2*j**2
Let y(h) = 13*h - 9 - 5 + 5. Let d(t) = -7*t + 5. Determine -11*d(z) - 6*y(z).
-z - 1
Let a(o) = -o - 20. Let n(l) = 2*l + 40. Calculate -7*a(q) - 4*n(q).
-q - 20
Let h(q) = -2*q**2 + 4*q. Suppose 5*f + 4*i = -1 + 16, 0 = 4*i. Let z(w) = w**2 - 3*w. Give f*h(m) + 4*z(m).
-2*m**2
Let d(a) = -a**3 - 2*a**2 - 2*a + 2. Let r(k) be the second derivative of k**5/20 + k**4/12 + k**3/6 - k**2/2 - 22*k. Calculate 3*d(g) + 6*r(g).
3*g**3
Let j(p) = -p - 5 - 3*p**3 - p**3 - 2*p + 10. Let o(n) = n**3 + n - 1. What is -j(f) - 3*o(f)?
f**3 - 2
Let y be 9/(-2) + 3/6. Let s(z) = 6*z. Let x(k) = 5*k. Let t be (50/(-15))/((-2)/3). What is t*x(c) + y*s(c)?
c
Let p = -5 + -2. Let r(x) = -4*x - 3. Let c(n) = -2*n - 2. Give p*c(b) + 4*r(b).
-2*b + 2
Let f(w) = 17*w**3 + 7*w**2 - 10*w + 3. Let d(a) = 11*a**3 + 5*a**2 - 7*a + 2. Give -7*d(k) + 5*f(k).
8*k**3 - k + 1
Suppose -5*v - 3*r = -17, -4*v - 2*r - r = -16. Let n(u) = 2*u**2 - u - 4. Let m(c) = -1. Determine v*n(a) - 6*m(a).
2*a**2 - a + 2
Let r(k) = 7 - 2 - 23*k + 27*k. Let u(q) = 4*q + 6. Determine -6*r(x) + 5*u(x).
-4*x
Let q(l) = -l - 1. Let p(i) = -1. Determine p(k) - 2*q(k).
2*k + 1
Let a(p) = p - 4. Let m(y) be the second derivative of y**3/3 - 7*y**2/2 - 39*y. What is -7*a(g) + 4*m(g)?
g
Let y(v) = -2*v**2 + 8. Let x(g) = -1. Let j = 11 - 8. Suppose 0 = 5*c + 5, 7 = j*f - 0*c - 4*c. Give f*y(h) + 8*x(h).
-2*h**2
Let m = 112 + -118. Let q(j) = 20*j**2 + 25. Let b(l) = -5*l**2 - 6. Determine m*q(v) - 25*b(v).
5*v**2
Let p(s) = s + 4. Let u(k) = -4*k - 15. Calculate -22*p(g) - 6*u(g).
2*g + 2
Suppose 4*j = 2 + 2. Let z = -4 + j. Let i(d) = -d**3 + 3*d**2 + 3*d. Let x(n) = 4*n + n**3 - n**2 - 1 + 1 - 5*n. What is z*x(h) - i(h)?
-2*h**3
Let n(m) = -55*m**3 - 25. Let p(s) = -9*s**3 - 4. Let v be (-3)/3 + (-55)/(-11). What is v*n(j) - 25*p(j)?
5*j**3
Suppose 0 = 3*j - 5*w - 19, -3*j + 11 = -2*j - 4*w. Suppose -12 = -4*m - 0. Let p(y) = -1 + 2*y - 4 + 4 - m*y. Let g(t) = t. What is j*g(f) + p(f)?
2*f - 1
Let q(a) = a**2. Let i(d) = 2*d**3 + 14*d**2 + 2*d. Calculate i(x) - 4*q(x).
2*x**3 + 10*x**2 + 2*x
Let r(h) = -3*h**3 - 2*h + 6. Let u(q) = -4*q**3 - 3*q + 7. Let w(i) = i**3 + 6*i**2 + 4*i - 10. Let s be w(-5). Calculate s*r(c) + 4*u(c).
-c**3 - 2*c - 2
Let h be ((-7)/2)/(3/(-6)). Let l(z) = -4*z**2 - 4 + 3*z**3 - 4*z + 10*z**3 - 14*z**3. Let n(k) = 2*k**3 + 7*k**2 + 7*k + 7. Calculate h*l(x) + 4*n(x).
x**3
Let q(t) = t + 1. Let r = 24 - 25. Let d(b) = 7*b + 6. What is r*d(n) + 5*q(n)?
-2*n - 1
Let q(c) = 5*c**2 - 25*c - 21. Let x(v) = v**2 - 6*v - 5. Calculate -2*q(j) + 9*x(j).
-j**2 - 4*j - 3
Let i(t) be the second derivative of -t**3 - 8*t**2 - 33*t. Let l(k) = 2*k + 5. Calculate -3*i(y) - 10*l(y).
-2*y - 2
Let n = 2 - 0. Let o(q) = -13*q**2 - q + 4. Let m(j) = -4*j**2 + 1. Let c(k) = -k**3 - 6*k**2 - 5*k - 1. Let a be c(-4). Let y = a + 6. What is n*o(x) + y*m(x)?
2*x**2 - 2*x + 1
Let t(a) = a - 3. Let q(h) = h - 2. Let y = 81 - 77. What is y*q(i) - 3*t(i)?
i + 1
Let r(l) = -10*l**2 + 3 + 12*l**2 - 7*l**2 - 3*l - 4*l**2. Let b(t) = -5*t**2 - 2*t + 2. Let w be (-4)/(-14) - (-33)/7. What is w*b(h) - 3*r(h)?
2*h**2 - h + 1
Let n(b) = -4*b**2 - 5. Let h(s) = -s**2 - 1. Suppose 18*r = 12*r - 6. Give r*n(g) + 5*h(g).
-g**2
Let u(o) = o + 1. Let j(q) = 19*q**2 + 19*q + 19. What is -j(b) + 19*u(b)?
-19*b**2
Let k(d) = -70*d**2 + 72*d**2 - 3 + 1. Let w(a) = -3*a**2 + 3. Give 4*k(o) + 3*w(o).
-o**2 + 1
Let w(k) = 4*k**2 - 6 - 6*k**2 - 1 - 4*k**2. Let r(v) = 5*v**2 + 6. Calculate -7*r(t) - 6*w(t).
t**2
Let y(k) = -3*k**2 + 4*k. Let g(t) = -2*t**3 + t. Let x(v) = 4*g(v) - y(v). Let c(m) = -9*m**3 + 4*m**2. Calculate -3*c(u) + 4*x(u).
-5*u**3
Let w(o) = -12 - 5 + 19 - 3*o**2. Let s(a) = 2 + 0 - 1. Give -2*s(z) + w(z).
-3*z**2
Let s(m) be the third derivative of -m**5/6 + 7*m**4/12 + 16*m**2. Let i(r) = -2*r**2 + 3*r. Give 28*i(o) - 6*s(o).
4*o**2
Let y(d) = -d**2 + 9*d - 9. Let z(t) = -t - 1 + t + t. What is -2*y(p) + 18*z(p)?
2*p**2
Let a(v) = 4*v + v**3 + v**2 + 5*v**2 - 3*v + 5. Let d be a(-6). Let m = -2 - d. Let q(o) = -4. Let t(r) = r - 1. Calculate m*q(z) + 2*t(z).
2*z + 2
Let a(r) = r**2 - 4*r - 4. Let t(w) = 5*w**2 - 21*w - 21. Let h(l) = -l**3 + 7*l**2 - 5*l - 8. Let v be h(6). Determine v*t(z) + 11*a(z).
z**2 - 2*z - 2
Let o = 1 - 7. Let r(w) = -3*w**2 - 4. Let x(v) = -4*v**2 - 5. Calculate o*r(b) + 5*x(b).
-2*b**2 - 1
Let f(n) = n**2 - 1. Let u(c) be the first derivative of -5*c**3/3 + c**2/2 + 6*c + 4. What is 4*f(j) + u(j)?
-j**2 + j + 2
Let b(h) = -4*h**2 + h + 1. Suppose -5 + 65 = 10*k. Let c(i) = -i**2. What is k*c(j) - 2*b(j)?
2*j**2 - 2*j - 2
Let w(f) = f - 1. Let k(g) = 9*g - 5. Give k(v) - 4*w(v).
5*v - 1
Let a(z) = -11*z + 13. Let i(w) = -w + 1. What is 6*a(r) - 78*i(r)?
12*r
Let t(p) be the first derivative of p**3 + 3*p**2/2 - 3*p + 2. Let y(l) = -3*l**2 - 2*l + 2. Determine -2*t(w) - 3*y(w).
3*w**2
Let z(s) = -6*s**2 + 2*s + 7. Let k(h) = -7*h**2 + 2*h + 8. Give 5*k(m) - 6*z(m).
m**2 - 2*m - 2
Suppose 3*u + 8 = -2*k, 2 = -2*k - 2*u - 2. Let f(p) = -6*p + 3. Let z be f(k). Let t(v) = 5*v - 1 - 2 + 2*v + 1. Let y(j) = -3*j + 1. What is z*y(n) - 4*t(n)?
-n - 1
Let f(b) = b**2 - 3*b + 1. Let x(j) = -j**2 + j. Let m be (-1)/(-2)*-2 - -4. Suppose 6*c + m = 3*c. What is c*f(t) - 3*x(t)?
2*t**2 - 1
Let a(g) = -19*g**3 + 10*g**2 + 13*g. Let r(y) = 6*y**3 - 3*y**2 - 4*y. Determine -2*a(b) - 7*r(b).
-4*b | {
"pile_set_name": "DM Mathematics"
} |
-11). What is l*v(g) + 9*a(g)?
3*g**3
Let h(w) = 37*w + 1. Let t(d) = -104*d - 21. What is 3*h(x) + t(x)?
7*x - 18
Let l(z) = 2*z + 43. Let m(d) be the first derivative of -3*d**2/2 - 43*d - 3348. Calculate 5*l(r) + 4*m(r).
-2*r + 43
Let m(y) = -4*y**3 + 26*y**2 - 5*y + 5. Let u(h) = 575803 + 4*h - h**3 + 0*h**2 + 4*h**3 - 575807 - 25*h**2. What is 4*m(b) + 5*u(b)?
-b**3 - 21*b**2
Let a(n) = -3*n - 2. Let q(i) = -3*i - 3. Let t be (1 - -1)*(21 - 19). Calculate t*q(p) - 5*a(p).
3*p - 2
Let p(l) = 2*l**2 + 22*l + 25. Let y be p(-10). Suppose -7 - 3 = -y*k. Let s(v) = -v**k - 2*v**2 - 3*v + v**2. Let r(m) = -m. Give 2*r(o) - s(o).
2*o**2 + o
Let k(f) = 55*f + 29. Let a(h) = -18*h - 9. Let l(m) = -10*a(m) - 3*k(m). Let c(x) = -74*x - 16. What is 2*c(i) + 11*l(i)?
17*i + 1
Let f(b) = -3*b**2 + 3*b + 6. Let l(q) = 34*q. Let r(h) = 3*h**2 - 343*h - 5. Let w(a) = 10*l(a) + r(a). Determine -6*f(g) - 7*w(g).
-3*g**2 + 3*g - 1
Let h(j) = -119*j**2 + 2*j + 60. Let i(w) = -2*w**2 + 16. Determine -h(q) + 4*i(q).
111*q**2 - 2*q + 4
Let b(j) = 35*j**2. Let h(l) = 35*l**2. Let s(w) = w**2 + 375*w + 1480. Let q be s(-4). What is q*h(y) + 5*b(y)?
35*y**2
Let k(u) = -13*u**3 - 5*u**2 + 17*u - 386. Let j(t) = 3*t**3 + t**2 - 4*t + 96. What is 18*j(o) + 4*k(o)?
2*o**3 - 2*o**2 - 4*o + 184
Let g(s) = 13*s**2 + 3*s - 10. Let c(y) = -6. Give c(d) + g(d).
13*d**2 + 3*d - 16
Let j(s) = -2067*s**2 - 10. Let t(k) = -394797*k**2 - 1908. Determine 954*j(v) - 5*t(v).
2067*v**2
Let n(q) = -2*q**2 - 66*q + 127. Let r(y) = y**2 + 22*y - 43. Determine 3*n(m) + 8*r(m).
2*m**2 - 22*m + 37
Let q(k) = k**3 - 5*k. Let y(o) = 2518*o**3 + 20*o. Calculate -4*q(f) - y(f).
-2522*f**3
Let v(w) = -w + 11. Let r(u) = -3*u + 33. Let q be (((-36)/(-2))/2)/(-1)*590/(-885). Determine q*r(c) - 17*v(c).
-c + 11
Let h(m) = m**2 + 11*m - 8. Let u(v) = -2*v**2 - 23*v + 17. Let g(y) = 47*y**2 - 657*y - 8. Let n be g(14). What is n*u(k) + 13*h(k)?
k**2 + 5*k - 2
Let d(t) = t**2 - 3*t - 2. Let n(p) = -2*p**2 + 6*p + 4. Let l = -321 + 328. Determine l*d(k) + 4*n(k).
-k**2 + 3*k + 2
Let z(c) = 14*c**2 + 7*c. Let y = -92 - -94. Let u(x) = 11*x**2 - 2*x**2 - y*x**2 + 4*x. Calculate -7*u(t) + 4*z(t).
7*t**2
Let t(l) = -22*l**3 - 9*l**2 - 3*l + 63. Let h(q) = -6*q**3 - 2*q**2 - q + 15. Calculate -9*h(x) + 2*t(x).
10*x**3 + 3*x - 9
Let m(q) = 2*q - 13. Let c(u) be the first derivative of -u**2 + 12*u - 168. What is -5*c(h) - 6*m(h)?
-2*h + 18
Let a(u) = -u**2 + 2*u**2 - 1431*u - 1 + 1432*u. Let i(k) = -3*k**2 - 3*k + 16. Give -4*a(r) - i(r).
-r**2 - r - 12
Let r(p) = 8536*p - 22. Let f(w) = 12805*w - 35. What is 5*f(n) - 8*r(n)?
-4263*n + 1
Let z(v) = 51*v - 35. Let f(n) = -110*n + 74. Let y(u) = 6*f(u) + 13*z(u). Suppose 0*l - 2*l = -22. Let d(c) = -c + 6. Determine l*d(a) + 6*y(a).
7*a
Let q(r) = -4*r**3 - r**2 - 4*r - 4. Let p = 14710 - 14712. Let g(v) = 17*v**3 + 4*v**2 + 17*v + 17. Determine p*g(n) - 9*q(n).
2*n**3 + n**2 + 2*n + 2
Let p(l) = -7*l**3 + 5*l**2 - 5*l - 2. Suppose -n - 90*a - 7 = -91*a, 0 = 4*n + 5*a + 10. Let s(q) = -6*q**3 + 4*q**2 - 4*q - 1. Calculate n*s(z) + 4*p(z).
2*z**3 - 3
Let z = 12377 + -12381. Let l(r) = 11*r - 83. Let g(b) = 6*b - 41. Calculate z*l(j) + 7*g(j).
-2*j + 45
Let b = 6 + 0. Let y(a) = 1 + b*a - 3 + 5. Let s(l) = -l. Suppose 4*d - 3887 + 3873 = -2*x, 4*x = -2*d + 22. Give d*y(q) + 4*s(q).
2*q + 3
Let y(t) = -t**3 - 2*t**2 - 3*t - 3. Let q(i) = -i**3 - i**2 - 4*i - 4. Suppose 0 = 3*v, 0 = -3*g + v - 51 + 42. Calculate g*q(s) + 4*y(s).
-s**3 - 5*s**2
Let b = -24 - -22. Let g(r) = -r - 1. Let y(j) = j**2 - 6*j - 5. Let o be y(7). Let s(d) = -3*d**3 + 8*d + o - d**2 - 4 - 7*d - 2*d. What is b*g(z) + s(z)?
-3*z**3 - z**2 + z
Let j(a) = 5 + 4*a + 6*a - a - 70*a**2 + 64*a**2. Let c(x) = -3*x**2 + 4*x + 2. Give 5*c(g) - 2*j(g).
-3*g**2 + 2*g
Let j(h) = -7*h**2 + 5*h + 4. Let i(k) = 30*k**2 - 48*k + 2. Let f(x) = -x**2 + 3*x - 1. Let g(n) = 12*f(n) + i(n). What is 5*g(y) + 12*j(y)?
6*y**2 - 2
Let u(d) = 2*d**2 + 315*d + 5. Let f(s) = -3*s**2 - 318*s - 6. Give -5*f(c) - 6*u(c).
3*c**2 - 300*c
Let g(d) = -15*d + 17. Let c be g(-5). Let r = 93 - c. Let y(h) = -2*h**2 - h + 1. Let t(i) = i**2 + i. Give r*t(q) + y(q).
-q**2 + 1
Let r(y) = 7*y - 359. Let n(x) = -16*x + 717. What is -2*n(m) - 5*r(m)?
-3*m + 361
Let d(x) = 6*x**2 - 307*x - 7. Let j(k) = -7*k**2 + 305*k + 8. What is 9*d(s) + 8*j(s)?
-2*s**2 - 323*s + 1
Let g(k) = -8*k**2 + 2*k - 6. Let l(y) = y**2 + 20*y + 57. Let v be l(-17). Let t(p) = 9*p**2 - 3*p + 7. What is v*g(q) + 5*t(q)?
-3*q**2 - 3*q - 1
Let k(g) = 2*g**3 + 4*g**2 - 3*g. Let z(t) = t**3 + 3*t**2 - 2*t. Suppose 0 = -19*p + 40*p - 33*p. Let f be -7 + 1 + p - 488/(-244). Calculate f*z(v) + 3*k(v).
2*v**3 - v
Let r(i) = -2*i**3 - 5*i**2 - 1820*i + 3. Let s(m) = m**3 + 4*m**2 + 1820*m - 2. Determine -2*r(f) - 3*s(f).
f**3 - 2*f**2 - 1820*f
Let i(j) = -j**3 - 3*j**2 + 31*j + 18. Let s be i(-7). Let c(u) = 33*u**2 + 4*u - 32*u**2 - 3*u - 2*u. Let a(q) = 2*q**2 - 5*q + 2. What is s*c(v) + a(v)?
-v**2 - 2*v + 2
Suppose -18*p = -68 + 50. Let i(b) = -6*b + 13. Let k(f) = -f**2 + f. Let n(r) = p*i(r) + 4*k(r). Let h(j) = -2*j**2 - j + 7. Determine 7*h(c) - 4*n(c).
2*c**2 + c - 3
Let o(v) = 6*v + 2. Let i(j) be the third derivative of -1/24*j**4 + j**2 + 0 + 0*j**3 + 33*j. Determine -2*i(w) - o(w).
-4*w - 2
Let f(s) = 48*s**3 + 20*s**2 + s + 40. Let u(k) = 95*k**3 + 35*k**2 + 2*k + 82. Determine -7*f(m) + 4*u(m).
44*m**3 + m + 48
Let n be (-4)/10*(-650)/(-52). Let z(l) = -6*l**3 - l - 3. Let r(t) = -11*t**3 - 2*t - 5. Calculate n*z(x) + 3*r(x).
-3*x**3 - x
Let j(y) = -5*y**3 - 2*y**2 + 2*y. Let t be -92*(3 - 85/20). Let v(q) = -q**3 - 5*q**3 + 113*q**2 + 3*q - t*q**2. Suppose 1 = -2*x + 11. Give x*j(r) - 4*v(r).
-r**3 - 2*r**2 - 2*r
Let p(n) = 4*n - 38. Let u(s) = 5*s - 39. Let l = 27215 + -27209. Give l*p(y) - 5*u(y).
-y - 33
Let j(d) = 329*d**2 + 3*d - 9. Let x(w) = -659*w**2 - 7*w + 20. Determine -9*j(q) - 4*x(q).
-325*q**2 + q + 1
Let o(t) = -1597*t + 2. Let l(a) = 1782253*a - 2233. What is -2*l(b) - 2233*o(b)?
1595*b
Let c(i) = i**3 + 7258*i - 2*i**2 + 7254*i - 14519*i. Let r(m) = m**2 + m. What is c(g) + 6*r(g)?
g**3 + 4*g**2 - g
Let g(z) = -13*z - 129. Let b(t) = -20*t - 191. Calculate -5*b(c) + 7*g(c).
9*c + 52
Let q be -13 - (0 + 22 - 48). Let s(u) = 4*u - 2. Let d(j) = -2*j + 1. What is q*d(h) + 6*s(h)?
-2*h + 1
Let y(v) = 1. Let x be 19/(2/(3 + -1)). Let q be 2/((-2)/(-9))*x/57. Let b(r) = 1 - q + 44*r - 46*r - 3. Calculate -b(m) - 3*y(m).
2*m + 2
Let a(h) = -3*h - 7. Let n(y) be the first derivative of y**2/2 + 3*y + 3. Let k = 150 + -155. Let t(q) = -q**2 - 6*q - 7. Let u be t(-5). Give k*n(r) + u*a(r).
r - 1
Let d(f) be the first derivative of 7*f**2/2 + f + 2815. Let x(q) = 13*q + 1. Give -7*d(t) + 4*x(t).
3*t - 3
Let f(s) = s**2 + 2*s + 22. Let h(y) = 6429*y**2 + 25716*y + 282876. Calculate -12858*f(x) + h(x).
-6429*x**2
Let r(y) = -49*y**2 + 972*y + 14. Let q(t) = 139*t**2 - 2913*t - 40. What is 6*q(f) + 17*r(f)?
f**2 - 954*f - 2
Let g(z) = -4*z + 14. Let d(w) = -17*w + 55. Suppose 0 = -i - 3*v - 32 + 41, -3*v = -2*i - 36. Give i*g(j) + 2*d(j).
2*j - 16
Let p(l) = -3*l**3 - 5*l. Let f(i) = -43*i**3 + 8*i**2 - 10*i. Calculate -f(k) + 2*p(k).
37*k**3 - 8*k**2
Let s(k) = -1926*k**3. Let u(d) = -3857*d**3 - 1. What is 11*s(o) - 6*u(o)?
1956*o**3 + 6
Let o(t) = -147*t + 26. Let j(b) = -49*b + 9. Determine 8*j(v) - 3*o(v).
49*v - 6
Let w(c) = 27 + 30 - 85 + 27. Let x(l) = 2*l**2 + 7. Let b(z) = z**2 + 4. Let f(p) = -5*b(p) + 3*x(p). Let a be 0/3 - (4 - 0). Determine a*w(y) - 4*f(y).
-4*y**2
Let l = -2 + 3. Let d(k) be the second derivative of k**5/20 + k**4/6 - k**3/6 - 14338*k. Let t(h) = -h**3 + h**2. What is l*d(s) - 2*t(s)?
3*s**3 - s
Let g(k) = -2*k**2 - 4. Let p(x) = -x**2 - 3. Suppose -n = -b - 284 - 426, b + 2*n = -710. Let w = -713 - b. Let c be 14/4 - 1/(-2). Calculate c*p(r) + w*g(r).
2*r**2
Let c(i) = -29*i - 191*i - 1 - 196*i + 415*i. Let a(f) be the second derivative of -f**3/6 - f**2 + f. Calculate -a(j) + 4*c(j).
-3*j - 2
Let s(k) = -627168*k**3 + 417*k**2 - 417*k + 417. Let b(d) = -7511*d**3 + 5*d**2 - 5*d + 5. What is 417*b(t) - 5*s(t)?
3753*t**3
Let h(y) = 10*y**2 - 10*y + 10. Let b(i) = -2*i**2 + 2*i - 2. Suppose -4*c - 2*c = -726. Sup | {
"pile_set_name": "DM Mathematics"
} |
082?
2, 101, 109, 449
List the prime factors of 393887.
13, 41, 739
What are the prime factors of 482784?
2, 3, 47, 107
What are the prime factors of 330400?
2, 5, 7, 59
What are the prime factors of 54433?
29, 1877
List the prime factors of 50815.
5, 10163
List the prime factors of 14334116.
2, 3583529
List the prime factors of 16091920.
2, 5, 13, 15473
List the prime factors of 2667439.
2667439
List the prime factors of 971293.
503, 1931
List the prime factors of 46231.
83, 557
List the prime factors of 1341377.
53, 25309
What are the prime factors of 538239?
3, 13, 37, 373
List the prime factors of 256221.
3, 7, 83
List the prime factors of 8985758.
2, 17, 127, 2081
What are the prime factors of 983321?
307, 3203
List the prime factors of 188195.
5, 7, 19, 283
List the prime factors of 7801365.
3, 5, 11, 13, 3637
What are the prime factors of 14176045?
5, 13, 17, 12829
List the prime factors of 51734.
2, 25867
List the prime factors of 6752102.
2, 7, 68899
What are the prime factors of 72799?
43, 1693
List the prime factors of 31702135.
5, 1861, 3407
List the prime factors of 1047852.
2, 3, 13, 2239
List the prime factors of 489503.
7, 69929
List the prime factors of 10696900.
2, 5, 41, 2609
What are the prime factors of 105385?
5, 7, 3011
What are the prime factors of 27310?
2, 5, 2731
What are the prime factors of 6342697?
47, 134951
What are the prime factors of 5749382?
2, 2874691
List the prime factors of 4268747.
7, 609821
List the prime factors of 2947788.
2, 3, 81883
List the prime factors of 1688605.
5, 337721
What are the prime factors of 722189?
13, 73, 761
What are the prime factors of 14739339?
3, 4913113
List the prime factors of 31106.
2, 103, 151
List the prime factors of 3089216.
2, 13, 47, 79
List the prime factors of 433041.
3, 7, 17, 1213
What are the prime factors of 9726111?
3, 1080679
What are the prime factors of 2875553?
29, 229, 433
List the prime factors of 11433583.
7, 1633369
What are the prime factors of 2097090?
2, 3, 5, 863
List the prime factors of 1834304.
2, 28661
What are the prime factors of 1017853?
43, 23671
What are the prime factors of 923267?
19, 48593
List the prime factors of 86080.
2, 5, 269
What are the prime factors of 969632?
2, 157, 193
List the prime factors of 884027.
31, 28517
List the prime factors of 16673870.
2, 5, 83, 20089
List the prime factors of 421076.
2, 105269
What are the prime factors of 491176?
2, 7, 179
What are the prime factors of 8017830?
2, 3, 5, 89087
List the prime factors of 1451694.
2, 3, 313, 773
List the prime factors of 5741817.
3, 1913939
What are the prime factors of 481622?
2, 240811
What are the prime factors of 22606?
2, 89, 127
What are the prime factors of 1407329?
7, 11, 373
List the prime factors of 29881.
29881
What are the prime factors of 3950432?
2, 41, 3011
What are the prime factors of 271052?
2, 67763
What are the prime factors of 27223?
7, 3889
List the prime factors of 88253.
11, 71, 113
What are the prime factors of 6607441?
17, 388673
What are the prime factors of 127236?
2, 3, 23, 461
What are the prime factors of 1909?
23, 83
List the prime factors of 177469.
103, 1723
What are the prime factors of 813718?
2, 406859
What are the prime factors of 1062299?
7, 29, 5233
What are the prime factors of 235823?
7, 59, 571
What are the prime factors of 965849?
109, 8861
List the prime factors of 248408.
2, 31051
List the prime factors of 454129.
13, 181, 193
What are the prime factors of 4790214?
2, 3, 11, 13, 1861
List the prime factors of 128136.
2, 3, 19, 281
List the prime factors of 9482809.
7, 1354687
What are the prime factors of 562016?
2, 7, 13, 193
List the prime factors of 6614131.
43, 153817
List the prime factors of 64763.
64763
What are the prime factors of 3473332?
2, 139, 6247
What are the prime factors of 157861?
11, 113, 127
What are the prime factors of 13841634?
2, 3, 163, 14153
What are the prime factors of 957452?
2, 59, 4057
What are the prime factors of 566686?
2, 67, 4229
What are the prime factors of 3171438?
2, 3, 176191
List the prime factors of 3211621.
7, 271, 1693
What are the prime factors of 327966?
2, 3, 47, 1163
What are the prime factors of 3417558?
2, 3, 47, 12119
List the prime factors of 5021841.
3, 11, 43, 3539
List the prime factors of 170899.
170899
What are the prime factors of 104674?
2, 199, 263
What are the prime factors of 1821671?
41, 157, 283
List the prime factors of 423968.
2, 13249
List the prime factors of 278557.
278557
List the prime factors of 10364823.
3, 7, 19, 1237
List the prime factors of 3342949.
43, 77743
What are the prime factors of 2290146?
2, 3, 19, 20089
List the prime factors of 13485079.
19, 709741
What are the prime factors of 310474?
2, 29, 53, 101
List the prime factors of 35835378.
2, 3, 5972563
What are the prime factors of 1001332?
2, 167, 1499
What are the prime factors of 511287?
3, 7, 97, 251
List the prime factors of 1734466.
2, 867233
What are the prime factors of 5079366?
2, 3, 23, 12269
List the prime factors of 357153.
3, 17, 47, 149
What are the prime factors of 4949439?
3, 11, 23, 6521
List the prime factors of 587466.
2, 3, 11, 23, 43
List the prime factors of 138478.
2, 69239
List the prime factors of 568486.
2, 284243
List the prime factors of 8531667.
3, 947963
List the prime factors of 6344685.
3, 5, 277, 509
List the prime factors of 282072.
2, 3, 7, 23, 73
What are the prime factors of 309947?
11, 19, 1483
List the prime factors of 240422.
2, 7, 13, 1321
What are the prime factors of 10873928?
2, 13, 19, 5503
What are the prime factors of 3794917?
7, 542131
List the prime factors of 1530193.
7, 218599
List the prime factors of 1815868.
2, 19, 23893
What are the prime factors of 732151?
7, 104593
What are the prime factors of 36020?
2, 5, 1801
List the prime factors of 78005.
5, 15601
List the prime factors of 3855458.
2, 1927729
What are the prime factors of 25339742?
2, 193, 65647
What are the prime factors of 258148?
2, 11, 5867
List the prime factors of 29480964.
2, 3, 2456747
List the prime factors of 118182.
2, 3, 19697
List the prime factors of 4698.
2, 3, 29
List the prime factors of 11439.
3, 31, 41
What are the prime factors of 4224516?
2, 3, 352043
What are the prime factors of 1086?
2, 3, 181
What are the prime factors of 5755113?
3, 7, 13, 7027
What are the prime factors of 6261494?
2, 1543, 2029
List the prime factors of 12046565.
5, 2409313
What are the prime factors of 450079?
7, 113, 569
What are the prime factors of 16214557?
41, 59, 6703
What are the prime factors of 10844962?
2, 79, 68639
List the prime factors of 1396133.
977, 1429
What are the prime factors of 11888557?
2677, 4441
What are the prime factors of 215688?
2, 3, 11, 19, 43
What are the prime factors of 3552719?
907, 3917
What are the prime factors of 7829808?
2, 3, 7, 3329
What are the prime factors of 664108?
2, 166027
List the prime factors of 1622739.
3, 41, 79, 167
What are the prime factors of 1208221?
7, 172603
List the prime factors of 113665.
5, 127, 179
List the prime factors of 364919.
364919
List the prime factors of 249077.
233, 1069
What are the prime factors of 5061193?
37, 3697
List the prime factors of 814869.
3, 11, 8231
What are the prime factors of 305088?
2, 3, 7, 227
List the prime factors of 175774.
2, 87887
List the prime factors of 3196097.
37, 86381
List the prime factors of 4708099.
11, 17, 1481
List the prime factors of 1580272.
2, 283, 349
List the prime factors of 291458.
2, 61, 2389
What are the prime factors of 367977?
3, 23, 5333
List the prime factors of 5057199.
3, 7, 80273
List the prime factors of 2056418.
2, 7, 13, 11299
List the prime factors of 3295991.
3295991
List the prime factors of 11560760.
2, 5, 289019
What are the prime factors of 181699?
7, 101, 257
What are the prime factors of 444557?
444557
What are the prime factors of 632730?
2, 3, 5, 7, 23, 131
List the prime factors of 640494.
2, 3, 29, 409
List the prime factors of 885489.
3, 11, 26833
What are the prime factors of 277764?
2, 3, 79, 293
List the prime factors of 18717014.
2, 19, 449, 1097
What are the prime factors of 357806?
2, 178903
List the prime factors of 378448.
2, 7, 31, 109
List the prime factors of 2389671.
3, 79, 3361
List the prime factors of 396477.
3, 44 | {
"pile_set_name": "DM Mathematics"
} |
(-2 + 2 - 4*h) - 42 - 14*h**5 + 42.
-18*h**5
Expand ((3 + 2 - 3)*(0*o - 2*o + o) - 3*o - 2*o + 2*o)*(-4 + 0 + 2).
10*o
Expand (3*f**2 - 4*f**2 + 2*f**2)*(f + 4*f - 3*f) + 2*f**3 + 0*f**3 + 0*f**3 + (-3 + 2 - 1)*(4*f**2 - 4*f**2 - 5*f**3).
14*f**3
Expand 2*z**3 + 5*z**3 - 5*z**3 + (-2*z**2 + 2*z - 2*z)*(2*z - 5*z + z) + 3*z**2 - 3*z**3 - 3*z**2 + (-4 + 3 + 6)*(-5*z**3 + 0*z**3 + 3*z**3).
-7*z**3
Expand 2*y**3 + 3*y**3 + 0*y**3 + (-2*y**2 + 1 - 1)*(-5*y + 3*y + 0*y) + (-2*y**2 + 2 - 2)*(-9*y + 3*y - 5*y).
31*y**3
Expand (-2*x + 0 + 0)*(x - 2*x + 0*x)*(-2 - 668 + 12).
-1316*x**2
Expand (6 + 66 - 35 + 41)*(-2*m + 3*m + m).
156*m
Expand (-6*n - 2*n + 4*n)*(0*n - 3*n + n) - 1 + 2*n**2 + 1 - 6*n**2 + 2*n**2 - 2*n**2 - 2*n**2 - 2 + 2.
2*n**2
Expand (3 - 8 + 0 + (-1 + 0 + 0)*(-5 + 3 + 3))*(2 - 3*j - 5 + 0) + j - 3 + 3.
19*j + 18
Expand (-3 + 3*b + 3)*(514*b + 2*b**2 + 0*b**2 - 739*b).
6*b**3 - 675*b**2
Expand 189*r**4 - 19086*r**2 + 19086*r**2 + (4*r**3 + 0*r**3 - 2*r**3)*(r - 6*r + r + (-2*r + 2 - 2)*(-4 + 6 - 1)).
177*r**4
Expand ((-f**2 + 2*f**2 + f**2)*(0*f + 0*f - f) + 2 - 2 + f**3)*(-77*f - 32*f + 5*f).
104*f**4
Expand 6*p**3 - 14*p**3 + 6*p**3 + (6 + 4 - 9)*(-p**3 + p**3 - p**3).
-3*p**3
Expand (2 - 2 + 3*q**3 + (2 - 2*q**2 - 2)*(-3*q - 4*q + 5*q) + 0*q**3 - q**3 + 0*q**3)*(-7*q - 5*q + 4*q).
-48*q**4
Expand (8*r - 5*r + r)*(-4*r**3 - r**3 + 3*r**3) + 9*r**4 - 7*r**4 + 12*r**4.
6*r**4
Expand (m**2 + m**2 - 22*m**2)*(2*m**2 - 5*m**2 - 3*m**2).
120*m**4
Expand ((4 - 4 + 6)*(b + 18*b + 17*b) + 4*b + 4*b - 5*b)*(3*b - 2*b - 2*b).
-219*b**2
Expand (2 - 3*w**4 - 2)*(2 - 5 + 2) + 32*w**4 - 5*w - 2*w**2 - 27*w**4 + 9*w.
8*w**4 - 2*w**2 + 4*w
Expand (-1 - 385*g + 887*g - 344*g)*(-3*g**4 + 2*g**4 + 3*g**4).
316*g**5 - 2*g**4
Expand (-33*j**2 + 63*j**2 + 32*j**2)*(-1 + 1 + 1)*(0 - 1 + 0)*(-5 + 3 + 4)*(1 - 3 + 0).
248*j**2
Expand (-4*y - 7 + 7)*(2*y**2 - 2*y**2 - y**4) + (-3 + 4 - 2)*(-2*y**2 + 2*y**2 - 6*y**5) - 6*y**2 + 6*y**2 + 2*y**5.
12*y**5
Expand (2*g + 2 - 2)*(-3501*g - 88 + g**2 + 3501*g).
2*g**3 - 176*g
Expand (-2 + 3 + 0)*(21*x - 21*x + 13*x + 6*x - 2*x - 2*x + (-1 + 2 - 3)*(x + x + 0*x)).
11*x
Expand (-3 - 1 + 3 - 4 + 2 + 0 - 3 + 4 - 3 + (1 + 0 + 0)*(0 - 1 + 0) - 2 - 2 + 3)*(i + 4 - 4)*(2 - 10 - 5).
91*i
Expand b**2 - b**3 - b**2 + (0 + 2*b + 0)*(b**2 + 3*b**2 - 6*b**2) - b**3 + 3 - 3 - 4*b**3 + 6*b**3 + 0*b**3 - b**3 + 81*b + 93 - 93.
-5*b**3 + 81*b
Expand 0*w**3 - 2*w**3 + 7*w**3 + (12*w - 24*w + 9*w)*(2*w**2 - 2*w**2 - 2*w**2).
11*w**3
Expand (-g**3 + 4*g**3 - g**3)*((-3 - 2*g + 3)*(0*g + 0*g + 2*g) + 4761 - 4761 - 18*g**2) - g**5 + 3*g**5 - g**5.
-43*g**5
Expand (0 - 2 + 0)*(2*j - 3*j + 3*j) + (6*j - 2*j - 3*j)*(-12 - 2 - 8) + 3*j - j + 2*j + 3 - 3 + j.
-21*j
Expand (22 - 8 + 38)*(-42*i - 17 + 16*i + 24*i).
-104*i - 884
Expand -4*h**5 + 0*h**5 + 0*h**5 + (-2*h**2 + 3*h**2 + 2*h**2)*(2 + h**3 - 2) + (-h + h + h**3)*(1 - 4*h**2 - 1).
-5*h**5
Expand -215 - 186*d**3 + 215 - d**3 - d**3 + d**3 + d**3 - 1 + 1 + (4*d - 3*d + d)*(-4*d - 2*d**2 + 4*d) - 4*d**3 + d**3 + 2*d**3.
-191*d**3
Expand (-3 + 7*y + 5 + 1)*(228 + 17*y**2 - 228).
119*y**3 + 51*y**2
Expand (-1 + n + 1)*(-6*n**2 - 206 + 34*n**2 + 207).
28*n**3 + n
Expand (16*a - 13*a + 13*a)*(4*a - 4*a - 6*a**3 + 4*a**3 + 1 - 1 + (0*a**2 + 0*a**2 - a**2)*(-3*a - a + 5*a)).
-48*a**4
Expand -7*a**3 + 24 - 24 + (-3*a**2 + 0*a**2 + 2*a**2)*(3 - 3*a - 3) + a**3 - a + a + (-4*a + 3*a + 0*a)*(2*a**2 + 4*a - 4*a) - a**3 + 0*a**3 - 2*a**3.
-8*a**3
Expand (-3*z**2 + z**2 + 0*z**2)*(-3*z**2 + z**2 - z**2) + (-2*z**2 - 3*z**2 + 3*z**2)*(-3*z**2 + 3*z**2 - 5*z**2).
16*z**4
Expand (-70 + 169 - 40)*(-3*r + 3*r + 3*r + (1 + 0 - 2)*(5*r - 2*r - 2*r)).
118*r
Expand 8*b**5 - 13*b**3 + 13*b**3 + (0*b + 0*b + 3*b**5)*(-1 - 2 + 4).
11*b**5
Expand (-10 + 0 + 7 - 4*v)*(4*v**3 + 4 - 4).
-16*v**4 - 12*v**3
Expand -7*k**3 + 17*k**3 + 345*k**4 - 12*k**3 + (2*k**2 - k + k)*(0*k**2 - 4*k**2 + 2*k**2) + 0*k**4 + k**4 - 2*k**4.
340*k**4 - 2*k**3
Expand (-3 - 1 + 1)*(4 + h - 4) - 2 + 2 - h - 11*h + 68 - 68 + (-1 - 1 + 1)*(4 - 4 + 2*h) + 0*h - 4*h + 2*h.
-19*h
Expand 7*h**4 + 2*h**2 - 2*h**2 + (17*h**2 - 17*h**2 + 3*h**3)*(-h - 3*h + 2*h) + 2*h**4 + 0*h**2 + 0*h**2.
3*h**4
Expand ((1 + 2*r**2 - 1)*(0 + 1 + 0) + 1 - r**2 - 1)*(1 - 6 + 0).
-5*r**2
Expand (3*k + 0*k - 2*k)*(-1 - 3 + 6) + (-4 + 7 - 27)*(2*k + 0*k - 3*k).
26*k
Expand (11 + 5*i - 11)*(2 - 4 + 0)*(-74*i + 74*i + 6*i**4).
-60*i**5
Expand 1 + o - 1 + (-5 + 4 + 3)*(-10*o + 2*o + 76*o).
137*o
Expand (2 - 2 - 5)*(2*v**2 - v**2 - 2*v**2)*(-4 - 2*v + 4)*(-4*v + v + 10*v).
-70*v**4
Expand (-5*m**4 + 4*m**4 + 4*m**4)*(2*m - 4*m - m) - 80*m - 21*m**5 + 80*m.
-30*m**5
Expand (-3*v + 0*v + v)*(7 + v**4 - 6*v**2 - 2 + 8*v**2).
-2*v**5 - 4*v**3 - 10*v
Expand 2 - 2 + 2*q**4 + (q + 4*q + 0*q)*(q**3 - q**3 - 2*q**3 + (3 - 3 + q)*(-2*q**2 - 2 + 2) - 4*q**2 + 4*q**2 + q**3 - q**3 + q**3 - 3*q**3).
-28*q**4
Expand (t - 1 + 1)*(4 - 1 - 4)*(-13 - 18 + 6) - t - 4 + 4.
24*t
Expand -2*n - n + n - 892 + 67*n + 892 + (-3*n + 3*n + 2*n)*(-7 + 3 + 2).
61*n
Expand (8*l**2 + 11*l**2 - 17*l**2)*(-l**2 + 11*l**2 + l**2).
22*l**4
Expand (21*y + 3*y + 7*y)*(47 - 15*y - 47).
-465*y**2
Expand (3 + 0 - 1)*(2 - 2 - 10*z) - 4*z + 1 + 5*z - 2*z.
-21*z + 1
Expand (-2 - z**2 + 2)*(5*z + z + 8*z) + 3*z - 9 - z**3 - 3*z.
-15*z**3 - 9
Expand -15*d**2 - 8*d**2 - 2*d**2 + (d**2 + 5*d**2 - 4*d**2)*(-2 + 2 - 1) + 0*d + 0*d - d**2 - 2*d**2 + 3*d - 3*d.
-30*d**2
Expand (y**2 + y**2 - y**2)*(34*y**2 + 40 - 64 + 99*y**2 + 22).
133*y**4 - 2*y**2
Expand 3*y**2 + 3*y**2 - 280 + 277 - 4*y**2 + 3*y**2 - y**2 + 0*y**2 - 3*y**2 + 2*y**2 + (-y - 2 + 2)*(-2*y + 0 + 0).
5*y**2 - 3
Expand ((2 - 3 + 3)*(0 - 1 + 3) - 3 + 1 + 4)*(0 - 2 + 0)*(35 + 32 - 9)*(-k + k - 8*k)*(k - 6*k + 4*k).
-5568*k**2
Expand (-3 - 2 + 4)*(0 - 1 + 3)*(40*r**2 + 55 - 55) - 3*r**2 - 2*r**2 + 0*r**2.
-85*r**2
Expand (-323*c**3 - 2307*c + 2307*c)*(0*c + 2 - 3*c + 4*c).
-323*c**4 - 646*c**3
Expand (-2 - 2 + 6)*(-1 + 1 - 2)*(-3*j + 6*j - j)*(13*j - 70 + 70).
-104*j**2
Expand ((0 - 2 + 4)*(1 + 1 + 1) + 1 + 1 - 4 + 7 + 5 - 4)*(0 + 0 + 2*w).
24*w
Expand (0 + 1 - 3)*(-y + 5*y - y)*(-2*y**3 - 3*y**3 + 6*y**3) + 9*y**4 - 13*y**4 - 2*y**4.
-12*y**4
Expand (8 - 2 - 1)*(1 + 1 - 3 + (-4 + 2 + 3)*(0 + 0 - 2) - 2 - 2 + 2)*(k**5 - k**5 - k**5).
25*k**5
Expand 71*c + 54*c - 55*c + (4 - 6 - 9)*(0 + 0 - 2*c).
92*c
Expand (-38*t - 50*t + 30*t)*(-8 - 2 + 4).
348*t
Expand (1 + 2 - 4)*(0*n**4 + n**4 + n**4) + 19*n + 79*n + 397*n**4 - 98*n.
395*n**4
Expand (-1 - 2*r + 1)*(-4 + 6 + 0)*(25*r - 34 + 34).
-100*r**2
Expand (5*u - 4*u + 3*u)*(16 + 2*u**2 - 16) + u**3 - u**3 - 3*u**3.
5*u**3
Expand (-3*i - 3*i + 3*i)*(-6 + 0 + 2) - i + 3*i - 12 + 14.
14*i + 2
Expand ((-3 + 3 + 2)*(1 - 1 - 2) + 3 + 3 - 4)*(-7*a**4 + 13*a**4 - 8*a**4).
4*a**4
Expand -18 - a + 18 - 4*a**2 + 4*a**2 + 0*a**2 - 3*a**2 + 9*a**2 - 35*a**2 - 9*a**2 + (3 - 3 + a)*(0 + 0 - 2*a).
-40*a**2 - a
Expand (-4*u + 4*u - 3*u**3)*(2*u + 5*u + 6*u) + 2*u**4 + 2*u**4 - u**4.
-36*u**4
Expand (-2*v**2 + 3*v**2 + v**2)*(-9*v - 11*v + 4*v)*(-2*v**2 - 2*v**2 + 5*v**2).
-32*v**5
Expand ((-3*q**2 + 2*q**2 - 2*q**2)*(0*q**3 + 0*q**3 + q**3) + (2*q**2 - 2*q**2 - q**3)*(4*q - 4*q + 2*q**2) + q**5 + 2 - 2)*(1 + 3 - 1).
-12*q**5
Expand (-2*h + 0*h + 0*h)*(-350*h**3 - 63244*h + 63244*h).
700*h**4
Expand (-106 - 94 - 718*u + 200)*(-2*u**4 + u**4 - u**4).
1436*u**5
Expand b**2 + b**2 + 0*b**2 + (-4*b + 0*b + b + (-2*b + 4 - 4)*(4 - 4 + 1) + 3*b - 2*b + 0*b - 5*b + 3*b + b)*(-26*b - 156 + 156).
132*b**2
Expand (-4*u + 3*u + 2*u)*(-2 - 2 + 1)*(-41*u**2 + 22*u**2 - 4*u + 2*u).
57*u**3 + 6*u**2
Expand (0*l - l - l)*(1 - 4 + 5) + 4 - 4 - 12927*l + 12608*l.
-323*l
Expand (1 + 2 + 0)*(-283*s - 2 + 93*s + 2) + s + 5*s - 2*s.
-566*s
Expand (-1 - z + 2*z**2 + z)*(-8 - 36 + 1).
-86*z**2 + 43
Expand (-j + j + j**2)*(0*j + 0*j - 2*j)*(100 - 865 - 211).
1952*j**3
Expand (-4 - j + 4)*(85 - 85 - 7*j**3) - 10*j**4 - 5*j**4 + 10*j**4.
2*j**4
Expand 2 + 0*v**4 + 0*v**4 + 2*v**5 + (-1 + 5 - 6)*(-102*v**5 - 1798*v**4 + 1798*v**4) + 0*v**5 - v**5 + 0*v**5 + (-4 + 2*v**3 + 4)*(4 - 3*v**2 - 4).
199*v**5 + 2
Expand (4*x - 3*x - 3*x)*(3515 - 280 + 107 + 2623).
-11930*x
Expand (0*l**3 - 4*l**3 - 2*l**3)*(1 - 2*l + l - l**2 - 2) + 3*l**5 - l**5 - l**5 + 0*l**5 + l**5 + | {
"pile_set_name": "DM Mathematics"
} |
to four dps?
-0.0003
Let q = -2 + 4. Suppose -4*y + 2680008 = q*h, 0*y = 5*y - 4*h - 3349984. Round y to the nearest 100000.
700000
Suppose 0*y + 6 = y. Suppose -4*v - 24200 = -y*v. Round v to the nearest one thousand.
12000
Let g = -9 + 8.88. Let s = 51 - 50.8751. Let a = g + s. Round a to 3 dps.
0.005
Let r = -409 + 1079. Suppose 0 = -i - 0*i + r. What is i rounded to the nearest 100?
700
Let q = 19 - 1. Suppose 0*t + t = q. Suppose -189 + t = -3*c. What is c rounded to the nearest 10?
60
Suppose d + 18 = 3*d. Suppose 0*i - i = d. Let b be 2/i + (-30504)/27. What is b rounded to the nearest 100?
-1100
Let s(r) = r**2 - 5*r - 2. Let v be s(4). Let h(q) = -881*q + 14. Let a be h(v). Round a to the nearest 1000.
5000
Suppose 3*n - 5*n + 2*g = 312, -3*g + 315 = -2*n. Round n to the nearest ten.
-150
Let n = 16.933 - 0.233. Let t = 82 + -59. Let j = t - n. Round j to the nearest integer.
6
Let j be -90*(-3)/(9/6709). Suppose -w - 1 = -9. Suppose 2*d = -w, -2*s - 5*d + j = -10798710. Round s to the nearest one million.
6000000
Let i = -35 - -34.99999977. Round i to 7 decimal places.
-0.0000002
Let y = -7.8 - -7.80000294. What is y rounded to 6 dps?
0.000003
Let o = 15 + -9. Let y be (-120)/o*10000/1. Round y to the nearest 1000000.
0
Let w = -140 + 140.00164. What is w rounded to four decimal places?
0.0016
Let c = 20 + -17. Suppose 0 = c*q - 1370 + 9470. Round q to the nearest one thousand.
-3000
Let y(d) = -d**3 + 5*d**2 + 7*d - 3. Let s be y(6). Suppose s*p = 2*r + 14767 + 239, p + 2*r - 4994 = 0. Round p to the nearest ten thousand.
10000
Let q(f) = -f**3 - 5*f**2 + 2*f + 7. Let y be q(-5). Let v(g) = -25*g - 10*g + g + 3*g. Let k be v(y). Round k to the nearest 10.
90
Let u = -149.9999816 - -150. What is u rounded to five dps?
0.00002
Let q = 2.65 + -3.416. What is q rounded to one dp?
-0.8
Let r = -0.1 + 0.0999994. Round r to seven decimal places.
-0.0000006
Let z(q) = -41871*q - 32. Let w be z(8). Round w to the nearest 100000.
-300000
Let x = 52.4 - 51. Round x to the nearest integer.
1
Let q be 0 + (2 - 3)*1. Let v = 7 - q. Let d be (-216)/(-10)*300/v. What is d rounded to the nearest one hundred?
800
Let l = -4.00074 + 4. Round l to 4 decimal places.
-0.0007
Let h = -6.0145 + 6. What is h rounded to 3 decimal places?
-0.015
Let k = -9.91 - -8.6. What is k rounded to 1 decimal place?
-1.3
Let n = -3.99986 - -4. Round n to 5 decimal places.
0.00014
Let s(g) = 611112*g**2 - 4*g + 4. Suppose 0 = k - 5*w - 6 + 28, -2*k - 5*w + 31 = 0. Let n be s(k). What is n rounded to the nearest 1000000?
6000000
Suppose -4*f + 29 = -3*c - 0*c, -2*f + 2*c = -16. Suppose -45015 = -2*j + 3*j + 3*v, 90025 = -2*j - f*v. Round j to the nearest ten thousand.
-50000
Let w = -23 - -23.46. Let h = 83 - 82.99. Let u = w - h. What is u rounded to one dp?
0.5
Let a = 0.321 + -19.871. Let l = -20 - a. What is l rounded to one decimal place?
-0.5
Let q = -10802916144838 + 10802915495439.0499943. Let d = q + 649399. Let n = -0.05 + d. What is n rounded to six dps?
-0.000006
Let x = 0.23 - -0.27. Let b = 0 + 0.51. Let c = b - x. Round c to 2 dps.
0.01
Let d = -25 - -25.0000055. Round d to six dps.
0.000006
Let i(w) = w - 3 - 7*w - 23*w + 0. Let s be i(-7). What is s rounded to the nearest 1000?
0
Let h = -407130234.4785979 + 407114867.73. Let x = 15373.7486 + h. Let t = 7 - x. Round t to six decimal places.
-0.000002
Let q = -14 + 10.6. Let w = -2.68 - q. Round w to one decimal place.
0.7
Let i = -11.6 - -1.8. Round i to zero dps.
-10
Let s = -3677186 - -24377184. Suppose 2*m - 5 = 1. Suppose -s = -m*b - i, 0*b - 3*b = -i - 20700002. Round b to the nearest 1000000.
7000000
Let x = -0.1 + 0.13. Let m = 0.030003 - x. Round m to five decimal places.
0
Let w = -360 - -359.99689. What is w rounded to 4 dps?
-0.0031
Let k = 17725550 + -50525550. What is k rounded to the nearest one million?
-33000000
Let j = 15718177 + -10318157. Suppose -r + 5400004 = q, -r - 3*q = 2*q - j. Round r to the nearest one million.
5000000
Let j = 27.4 + -20. Let g = j - 8. Let s = g + 0.60000034. Round s to seven dps.
0.0000003
Let n = 0.11 - -0.79. Let c = n - 0.89932. Round c to 4 decimal places.
0.0007
Let i = -370.37 - -368. Let j = 0.03 - -0.1. Let p = j - i. What is p rounded to the nearest integer?
3
Let t = 7.9 + -91.9. Let w = t + 83.9999922. Round w to 6 dps.
-0.000008
Let d = 36.56 + -36. Round d to 1 dp.
0.6
Let q = 11193 + -11189.4105. Let d = q - 0.5885. Let o = -3 + d. What is o rounded to 2 decimal places?
0
Let a = -1.153 + 1.07. Let y = -0.657 + a. Round y to one decimal place.
-0.7
Suppose -3*i = -t - 3*t - 89, 3*i = -15. Let u = -56 - t. What is u rounded to the nearest 10?
-30
Let y = 589 + -589.649. Let m = y - -0.059. What is m rounded to one decimal place?
-0.6
Let z be -1 + -3 - (-409 + 5). Round z to the nearest 100.
400
Let p = 199.00000589 + -199. What is p rounded to 6 decimal places?
0.000006
Let f = -486441 + 486481.9922. Let w = f - 41. Round w to 3 decimal places.
-0.008
Let i = 0.77982 - 0.3798. Let g = -1 + 0.6. Let r = i + g. What is r rounded to 4 dps?
0
Let g = 59.1 + -58.689. What is g rounded to 1 decimal place?
0.4
Let s = -0.037 - 0.087. What is s rounded to 1 dp?
-0.1
Let i = -61.788 - 0.512. Let t = i + 59. Let a = t + 3.319. Round a to two decimal places.
0.02
Let i = -8230220188.660678854 - -8230220198. Let k = 0.339321286 - i. Let m = k - -9. Round m to seven dps.
0.0000001
Let n = 32 + -31.9664. Let y = 1.3 + -1.27. Let i = y - n. What is i rounded to three dps?
-0.004
Let z(f) = f**3 + 6*f**2 + 4*f - 2. Suppose -1 - 4 = d. Let r be z(d). Suppose 0 = -2*c - r*c + 2900. Round c to the nearest 100.
600
Let i = -12.9 - -12.900125. What is i rounded to five dps?
0.00013
Let z = -9 + 13. Let m be -6*((-10)/z - -2). Suppose 0 = 5*f - 20, l = f - m*f - 792. Round l to the nearest one hundred.
-800
Let f be (-2038)/(-2)*37 + -3. Round f to the nearest 1000.
38000
Let y(d) = -5*d**3 - 4*d - 6. Let w be y(-4). What is w rounded to the nearest ten?
330
Let p = 1.3 - -4.7. Let w = p - 5.996. Round w to 2 dps.
0
Let d = 11.036 - 11. Let h = d - -2.284. Round h to one dp.
2.3
Suppose 2*s + 725 = -2*x - 3*x, -4*x + 382 = -s. Let t be (-4)/(-16) + 7762/(-8). Let p = t - s. Round p to the nearest one hundred.
-600
Let f(h) = 113*h - 43*h + 209*h + 156*h. Let n be f(2). Round n to the nearest one hundred.
900
Let b = 3 + -2. Let w(a) = -8300001*a - b + 5 - 3. Let r be w(1). What is r rounded to the nearest 1000000?
-8000000
Let w be 3*2*4/8. Suppose 14203 = 2*u - 2*t + w*t, -2*u + t = -14197. What is u rounded to the nearest 1000?
7000
Let a(v) = 2632*v + 4. Let w be (-5)/((-30)/4)*-15. Let n = w - -13. Let r be a(n). Round r to the nearest one thousand.
8000
Let s = 0.08 - 0.68. Let i = 0.4 - s. Let b = -0.999995 + i. Round b to 6 decimal places.
0.000005
Let v = 13325247.05 + -13324619.330003. Let o = v - 627.77. Let d = o + 0.05. What is d rounded to five decimal places?
0
Let o = 266385.7293325 + -266387. Let u = o + 0.4906737. Let y = u - -0.78. Round y to six dps.
0.000006
Let c be 0 - -1 - (2 - 3). Suppose 0*y - 4*y + 952 = c*m, 0 = 3*m + 4*y - 1432. Round m to the nearest 100.
500
Let l = 3720374.000028 - 3720366. Let a = 8 - l. What is a rounded to five decimal places?
-0.00003
Let u be (-1250)/3*(-1 - 3071). What is u rounded to the nearest 100000?
1300000
Let b = 15.554145 - -1.445667. Let t = -17 + b. What is t rounded to five decimal places?
-0.00019
Let d = 78 + -78.00000012. What is d rounded to 7 decimal places?
-0.0000001
Let r = -99 - -99.0139. What is r rounded to 3 decimal places?
0.014
Suppose 8 = -3*a + 2. Let o(n) = -19*n + 4. Let b be o(4). Let f be a/7 + b/(-7). Round f to the nearest one hundred.
0
Let y = 674.02 + -682. Let p = 8 + y. Let z = 0.22 + p. Round z to one dp.
0.2
Let g = -25 - -25.044. What is g rounded to 2 dps?
0.04
Let w = -568.6 + 480. What is w rounded to the nearest 10?
-90
Let q = 56.8000594 + -56.8. What is q rounded to five dps?
0.00006
Let g = -321437435 + 321437465.9999951. Let s = -31 + g. Round s to six dps.
-0.000005
Suppose -3*h + 0*n + 4424 = -n, -2*n = h - 1477. Suppose -8925 = -4*j + h. What is j rounded to the nearest 1000?
3000
Let a = 1.699 + 164.901. Let t = 194 - a. Let b = 32 - t. Round b to zero decim | {
"pile_set_name": "DM Mathematics"
} |
uence mm when two letters picked without replacement from {m: 3, h: 4, p: 3, r: 4}?
3/91
What is prob of sequence ffff when four letters picked without replacement from {f: 6}?
1
What is prob of sequence yes when three letters picked without replacement from {y: 1, e: 4, s: 2, a: 2}?
1/63
Three letters picked without replacement from {u: 2, e: 6, x: 3, f: 2, v: 1, p: 4}. What is prob of sequence fpu?
1/306
Two letters picked without replacement from pthhfptwiihhh. Give prob of sequence ht.
5/78
Three letters picked without replacement from jdjdddj. Give prob of sequence jdj.
4/35
Three letters picked without replacement from {n: 2, t: 1, k: 1, e: 2}. What is prob of sequence ete?
1/60
Four letters picked without replacement from bdddblbdbll. Give prob of sequence bdlb.
1/55
Three letters picked without replacement from taagrqttttrrrtyrt. Give prob of sequence tat.
7/340
What is prob of sequence oo when two letters picked without replacement from oddooododddd?
5/33
What is prob of sequence hl when two letters picked without replacement from {h: 3, l: 8}?
12/55
Two letters picked without replacement from iixxhxhxxbxv. What is prob of sequence vi?
1/66
Two letters picked without replacement from {a: 17, r: 2}. Give prob of sequence aa.
136/171
Calculate prob of sequence ll when two letters picked without replacement from {f: 4, h: 1, w: 2, u: 1, l: 2}.
1/45
Two letters picked without replacement from arrxewfxarre. What is prob of sequence rf?
1/33
Calculate prob of sequence dddd when four letters picked without replacement from {p: 5, d: 5}.
1/42
Four letters picked without replacement from yygcixxcyilyyix. What is prob of sequence igcx?
1/1820
What is prob of sequence wt when two letters picked without replacement from {h: 2, w: 3, t: 13}?
13/102
Calculate prob of sequence ldp when three letters picked without replacement from {p: 6, r: 3, d: 2, t: 2, l: 1}.
1/182
Calculate prob of sequence vzb when three letters picked without replacement from {v: 1, b: 1, e: 2, z: 1}.
1/60
Calculate prob of sequence vl when two letters picked without replacement from {e: 1, x: 1, n: 1, f: 2, v: 1, l: 1}.
1/42
What is prob of sequence rrk when three letters picked without replacement from sruuuuurrruuurrkukur?
7/570
Two letters picked without replacement from jbqqqbjj. What is prob of sequence jb?
3/28
Two letters picked without replacement from omtttottmotgtmomttt. What is prob of sequence og?
2/171
Calculate prob of sequence hm when two letters picked without replacement from {h: 5, m: 11}.
11/48
What is prob of sequence ttl when three letters picked without replacement from {t: 3, l: 3, a: 1, j: 3, z: 1, n: 2}?
3/286
Calculate prob of sequence ny when two letters picked without replacement from crryrrnuy.
1/36
Calculate prob of sequence svsp when four letters picked without replacement from {z: 4, y: 3, w: 2, p: 2, v: 2, s: 2}.
1/4095
Three letters picked without replacement from {k: 4, t: 1, e: 2, q: 3, x: 1}. What is prob of sequence qxq?
1/165
Four letters picked without replacement from lxlxxx. Give prob of sequence lxxx.
2/15
Two letters picked without replacement from rarpaarrra. What is prob of sequence pr?
1/18
What is prob of sequence rr when two letters picked without replacement from cchcrrcr?
3/28
Two letters picked without replacement from qfyfz. What is prob of sequence yz?
1/20
Calculate prob of sequence ulz when three letters picked without replacement from {l: 1, p: 1, z: 3, u: 1, b: 3, q: 2}.
1/330
Calculate prob of sequence bb when two letters picked without replacement from {s: 3, b: 13}.
13/20
What is prob of sequence xxi when three letters picked without replacement from {i: 7, n: 2, v: 1, s: 4, x: 3}?
7/680
Three letters picked without replacement from fzznw. Give prob of sequence fww.
0
Calculate prob of sequence lx when two letters picked without replacement from xlllnnnllnllvv.
1/26
What is prob of sequence ofof when four letters picked without replacement from fzzfzooofzofzfoofzf?
35/2584
Calculate prob of sequence jjjj when four letters picked without replacement from jjjjjjj.
1
What is prob of sequence kok when three letters picked without replacement from {e: 4, k: 2, d: 2, o: 5}?
5/858
Calculate prob of sequence po when two letters picked without replacement from popppoojopoqopuppup.
3/19
Four letters picked without replacement from ttmmttttttttmtt. What is prob of sequence mmtm?
1/455
Calculate prob of sequence ab when two letters picked without replacement from bbba.
1/4
Two letters picked without replacement from {f: 1, j: 1, c: 1}. Give prob of sequence jf.
1/6
Calculate prob of sequence cgc when three letters picked without replacement from qccccgncgczcncgczcn.
15/323
Three letters picked without replacement from {n: 12, q: 6}. What is prob of sequence nqq?
5/68
Four letters picked without replacement from gnugmgmlttll. What is prob of sequence tlll?
1/990
Two letters picked without replacement from ulw. Give prob of sequence wl.
1/6
Four letters picked without replacement from appppappp. What is prob of sequence aapp?
1/36
Three letters picked without replacement from {w: 6}. What is prob of sequence www?
1
What is prob of sequence ffkf when four letters picked without replacement from kfffffkfff?
2/15
Two letters picked without replacement from {f: 3, e: 4}. Give prob of sequence ee.
2/7
What is prob of sequence dh when two letters picked without replacement from hhdnhhdnydhyhddndlnh?
21/190
Three letters picked without replacement from {v: 2, d: 7}. What is prob of sequence ddv?
1/6
What is prob of sequence ppp when three letters picked without replacement from {v: 3, p: 7}?
7/24
What is prob of sequence bi when two letters picked without replacement from bbsbaabsbbbi?
7/132
Three letters picked without replacement from {h: 1, p: 1, e: 1, r: 1, f: 1}. Give prob of sequence ehf.
1/60
Calculate prob of sequence bfsi when four letters picked without replacement from ififkssfsfbk.
1/495
Calculate prob of sequence kkq when three letters picked without replacement from txkttqttxtvxtttkv.
1/2040
Calculate prob of sequence ova when three letters picked without replacement from {f: 4, a: 1, v: 6, o: 3}.
3/364
Calculate prob of sequence gqar when four letters picked without replacement from qglqarg.
1/210
What is prob of sequence pppp when four letters picked without replacement from pppppppppp?
1
What is prob of sequence yccx when four letters picked without replacement from {r: 1, d: 9, x: 3, c: 2, y: 3}?
1/4080
What is prob of sequence ff when two letters picked without replacement from {y: 4, q: 2, b: 5, f: 2}?
1/78
Four letters picked without replacement from {n: 2, q: 2, f: 1, t: 1}. Give prob of sequence tnqn.
1/90
Four letters picked without replacement from zrqrrzrq. Give prob of sequence qzqz.
1/420
Calculate prob of sequence uiuu when four letters picked without replacement from {i: 2, u: 5, g: 4}.
1/66
Calculate prob of sequence ooo when three letters picked without replacement from {o: 6}.
1
Calculate prob of sequence pnfp when four letters picked without replacement from kfnpkpkpkfqnrr.
1/1001
Four letters picked without replacement from {u: 1, w: 2, b: 5, g: 1}. What is prob of sequence ugww?
1/1512
Calculate prob of sequence ggj when three letters picked without replacement from {g: 4, l: 2, j: 6}.
3/55
What is prob of sequence qx when two letters picked without replacement from ixqkxxxq?
1/7
Three letters picked without replacement from dsdddds. Give prob of sequence dss.
1/21
Calculate prob of sequence koo when three letters picked without replacement from yehyhkfkkyhefoff.
0
Calculate prob of sequence ea when two letters picked without replacement from {a: 7, e: 2}.
7/36
What is prob of sequence xh when two letters picked without replacement from {x: 1, w: 1, c: 1, h: 1, p: 1}?
1/20
Four letters picked without replacement from {f: 2, b: 7}. What is prob of sequence ffbb?
1/36
Two letters picked without replacement from {z: 5, i: 15}. What is prob of sequence iz?
15/76
What is prob of sequence iuz when three letters picked without replacement from zbmuzuiiui?
1/40
What is prob of sequence in when two letters picked without replacement from {f: 3, h: 2, q: 1, n: 6, d: 2, i: 5}?
5/57
What is prob of sequence | {
"pile_set_name": "DM Mathematics"
} |
k in descending order.
1, 0.4, k, 1/22
Let c = 56 + -55.5. Let v = -1.5 - -0.5. Sort c, 0.1, v in decreasing order.
c, 0.1, v
Let f = -4 + 1. Sort 0.2, f, 2/5 in descending order.
2/5, 0.2, f
Let h be (1/((-7)/(-6)))/(1/(-7)). Put -1, h, -4, -5 in ascending order.
h, -5, -4, -1
Let l be (21/(-7))/((-2)/(-10)). Let f be l/25*2/3. Sort f, -2, -3 in decreasing order.
f, -2, -3
Suppose -3*a + 4 = u + 20, -12 = -3*u + 3*a. Put 3, u, 5 in ascending order.
u, 3, 5
Suppose 3*p = 33 - 21. Put p, -4, -13 in descending order.
p, -4, -13
Let k = -0.15 - -0.35. Put k, 0.5, 0.1, 2/7 in descending order.
0.5, 2/7, k, 0.1
Suppose 0 = -2*p - k + 4 - 0, -p + 11 = -4*k. Suppose 0 = -13*t + 9*t + 20. Put -2, t, p in decreasing order.
t, p, -2
Suppose 4*r - 2*r = -6. Sort r, 1, 3 in ascending order.
r, 1, 3
Let u = 6 + -6.5. Let k = u - -0.4. Put k, -0.5, -2/13 in ascending order.
-0.5, -2/13, k
Let g = 0.45 - 0.05. Let j = -0.06 - 0.34. Put -3, j, g in descending order.
g, j, -3
Let s be (-2)/(-11) - 20/(-11). Suppose b = -4, -2*l - 12 = s*l + 3*b. Put l, -5, 2 in increasing order.
-5, l, 2
Suppose -4*o + 5*o = -5. Sort 0, 2, o in ascending order.
o, 0, 2
Let t be (2/(-8) - -1)*2/6. Sort -2/9, 2, -0.3, t in increasing order.
-0.3, -2/9, t, 2
Let z = 0.1 - -0.1. Let n = -12.2 - -12.1. Sort -3/7, n, z.
-3/7, n, z
Let b(g) = 4*g + 3. Let u be b(-2). Put -2, 4, u in ascending order.
u, -2, 4
Suppose -4*q + 22 = 3*i, 3*q = -3*i - i + 20. Let u = q + 0. Suppose 2 = 3*g + 11. Sort u, 0, g in ascending order.
g, 0, u
Let u = 7.9 - 7.5. Sort u, -2/3, 2 in ascending order.
-2/3, u, 2
Let o(f) be the second derivative of -1/12*f**4 + f**3 + f + 11/2*f**2 + 0. Let n be o(8). Sort -4, -2, n.
n, -4, -2
Let j = 0.36 + -0.06. Let i = -2.9 - -2.9. Sort -0.2, i, j.
-0.2, i, j
Let v = 1189236917/2772291805 + 1618/58481. Let g = -43/95 + v. Let y = -1028/7485 + g. Put -0.4, 4, y in descending order.
4, y, -0.4
Suppose -4 = -4*o, 2*r - 3 = 2*o - 11. Suppose -20 = 5*c, n - 2*c - 9 = -0*c. Suppose w + n = -3. Sort 2, w, r in ascending order.
w, r, 2
Let d = 16 - 15.95. Sort 2, d, -1/3 in increasing order.
-1/3, d, 2
Suppose 4*u + 5*y = 54, 30 = 2*u - y + 5*y. Suppose 5 = u*k - 6*k. Suppose -3*v = -v - 10. Put v, k, -2 in descending order.
v, k, -2
Suppose 2*n + 7 = 3. Sort 2, 3, n in increasing order.
n, 2, 3
Let d = -9 - -13. Suppose d*s = 19 + 1. Put 2, s, -3 in decreasing order.
s, 2, -3
Suppose -3*i - 84 = -5*m - 5*i, 10 = m - 3*i. Suppose 0 = 4*q - 4*c - m, 0 = -q + 2*c + 12 - 3. Let p = -10 + 15. Sort q, 2, p.
q, 2, p
Let v = -58/63 - -8/7. Let s = 0.2 + -0.1. Put s, v, -4 in decreasing order.
v, s, -4
Let d(p) = -p + 7. Let a be d(3). Let g = -4 - -3. Put g, a, -1/2 in increasing order.
g, -1/2, a
Suppose g - 28 = 4*s - 0*g, -2*s - 3*g = 0. Sort 2, -2, s.
s, -2, 2
Let z be 6 + -4 - (-19)/(-10). Let w = -0.8 - 0.2. Let s = 1.5 + w. Put z, s, -0.3 in descending order.
s, z, -0.3
Let u = 5 - 4.7. Put u, -1, -0.4 in increasing order.
-1, -0.4, u
Let s = -0.8 + 1. Let v = -0.5 + s. Put v, -0.5, -3 in descending order.
v, -0.5, -3
Let f = -43 + 48. Sort f, 4, -1/5.
-1/5, 4, f
Let y(j) be the second derivative of j**3/6 + 3*j**2 + 6*j. Let f be y(-5). Sort 0, 3, f in descending order.
3, f, 0
Let l = 9 - 11. Put 5, 6, 1, l in descending order.
6, 5, 1, l
Let u(j) = 22*j**2 + 1. Let g be u(-1). Suppose -4*c - g = -9*c - 3*x, -4*c - x = -17. Suppose 2*a = 3*a - c*v + 3, -3 = a + v. Put 5, a, 1 in descending order.
5, 1, a
Let h be 4/6*(6 + (-252)/49). Put 8, h, -2/21 in ascending order.
-2/21, h, 8
Let h be (-2)/6*5*3. Let l be (6/3)/(-2 + 0). Let f = -10 - -6. Put f, l, h in increasing order.
h, f, l
Let u be 54/(-24) + 1/4. Put -1, 2, u in decreasing order.
2, -1, u
Suppose 4*t + 3 - 7 = 0. Let g(l) = l**3 + 3*l**2 - 3*l + 1. Let p(j) = j**2 - 4. Let o be p(0). Let n be g(o). Put 0, n, t in descending order.
t, 0, n
Let z = 0.9 + -0.7. Let d = z - -2.8. Sort -0.02, -3, d.
-3, -0.02, d
Let x = 26.06 - 0.06. Let j = -16 + x. Put -2/7, j, -1 in descending order.
j, -2/7, -1
Suppose 5*r = 13*r + 24. Let t be (-2)/(4/(-2)) - 3. Sort t, 3, r in descending order.
3, t, r
Let z(b) = -b**3 + b + 2. Let h be z(2). Let s be (1/h)/(10/(-16)). Sort s, -1, 0.5 in decreasing order.
0.5, s, -1
Let b(u) = -12*u - 105. Let j be b(-9). Let s(y) = -y**3 + 6*y**2 - 4*y - 3. Let w be s(5). Sort w, -1, j in decreasing order.
j, w, -1
Let d = -0.6 - -0.1. Let c = -9.6 - -1.6. Let p = c - -7.6. Put 0.5, d, p in increasing order.
d, p, 0.5
Let r = 12 - 8. Let u = 0.1 + 0.9. Let z = 7.9 + -8. Sort r, u, z in descending order.
r, u, z
Suppose 2*n = -2*x + 6, -5*x - 1 = 2*n - 19. Put n, -11, -4 in decreasing order.
n, -4, -11
Let g = 13 + -8. Let b be 0 - (1/21 - (-1)/(-3)). Sort 1, g, b in ascending order.
b, 1, g
Suppose 3*p + 3 = -3. Let k = -1 - p. Put k, -5, -0.5 in descending order.
k, -0.5, -5
Suppose -4 = 4*b + 4*u, -2 - 4 = 3*b + 2*u. Let a = 3.1 + -26.1. Let z = a - -24. Sort b, -2/3, z in ascending order.
b, -2/3, z
Let u = 93 - 95. Put -3, u, -4, 2 in ascending order.
-4, -3, u, 2
Let n(j) = -j**2 - 2*j - 1. Let f be n(0). Sort 1, f, 3 in decreasing order.
3, 1, f
Let r be ((-144)/(-60))/((-2)/30). Put 2, 0, r in ascending order.
r, 0, 2
Suppose y + w = -5, 6*y + 2*w + 15 = 3*y. Put y, 5, -4 in descending order.
5, -4, y
Suppose -2 = -4*w + 14. Suppose 0 = 4*a + d + 16, -2*a - w*d + 0 = -6. Sort a, 1, 4 in increasing order.
a, 1, 4
Let d = 0.02 - 0.02. Sort 2/7, d, 4 in ascending order.
d, 2/7, 4
Let m = 48 + -239/5. Sort -1/6, 0.5, m.
-1/6, m, 0.5
Let t = 604/1535 + 2/307. Put t, 1.6, -0.4, 0.1 in decreasing order.
1.6, t, 0.1, -0.4
Let v(d) = d. Let z(r) = r**2 + 4*r + 2. Let p be z(-4). Let f be v(p). Sort -5, 3, f in decreasing order.
3, f, -5
Let x(d) = d**3 + 3*d**2 - 3*d + 4. Let v be x(-4). Let b be (-1 - -2)/(1/(-3)). Let z = b - -1. Put v, 5, z in increasing order.
z, v, 5
Let l = -16 - -24. Let q = -3 + l. Let x(h) = -h + 1. Let f be x(2). Sort q, 2, f.
f, 2, q
Let q = -0.31 + 5.31. Put -0.5, q, 0.1 in increasing order.
-0.5, 0.1, q
Suppose 15 = 2*h + h. Suppose -h*p + 45 + 25 = 0. Let l = p + -10. Sort -3, -1, l.
-3, -1, l
Let z be 8/(-17)*2/8. Put -0.1, 2.6, z, -1/2 in decreasing order.
2.6, -0.1, z, -1/2
Let q be (-8)/4 - (-40)/18. Let t = 0.2 - 0. Sort t, q, -0.3.
-0.3, t, q
Let f = -10 - -8. Let g(v) = -v**3 - 3*v**2 + 5*v + 6. Let t be g(-4). Let s = -7 + t. Put f, 5, s in decreasing order.
5, f, s
Let a = -2 + -5. Let b = a + 4. Put 0.4, b, -0.1 in descending order.
0.4, -0.1, b
Suppose -x + 0*x - 2 = 0. Let y = 85 + -933/11. Let t = 34 - 32. Sort y, t, x in ascending order.
x, y, t
Suppose -g + 4*s = -6*g - 19, -s - 16 = 5*g. Sort g, -5, -3/4 in ascending order.
-5, g, -3/4
Let n = 5 + -11. Put n, -4, -5 in ascending order.
n, -5, -4
Let p = 8 - 5. Suppose -p*n = 1 + 5. Let b = -96 + 101. Put 0, n, b in decreasing order.
b, 0, n
Suppose 36 = 5*s + 6. Let a be (-4)/s*(-105)/(-14). Put a, -4, -7 in decreasing order.
-4, a, -7
Suppose 3 = 5*x - 2. Let i(g) = g**3 - 3*g**2 - 3*g - 5. Let r be (-3)/(-2)*16/6. Let z be i(r). Put z, 4, x in descending order.
4, x, z
Let g = -32 + 33. Suppose 0*p + p = 0. Suppose 2*w - 8 = -p. Sort g, w, -2.
-2, g, w
Let a be (0 - -2) + (-495)/(-12). Let k = a - 43. Put 0.3, k, -3/7 in increasing order.
-3/7, k, 0.3
Let i(l) = 8*l**2 - l - 1. Let c be i(-1). Let p be (-2)/c + 27/12. Let b(u) = 6*u**3 - u**2. Let x be b(1). Sort -3, x, p in ascending order.
-3, p, x
Let s = 64 + -66. Put 0, -5, s, 1/8 in descending order.
1/8, 0, s, -5
Suppose -7*x - 30 = -2*x. Sort 5, x, 1.
x, 1, 5
Let m = -87 - -177/2. Put m, 0, -2/7 in ascending order.
-2/7, 0, m
Let p = 107/102 + -15/17. Let y = p - 3/10. Put 4, y, 0.4 in descending order.
4, 0.4, y
Let d = -0.035 + 1.035. Put d, -3, 3, 5 in descending order.
5, 3, d, -3
Let l = -1/11 + -13/99. Let m = -32 - -23. Let k = 4 + m. Sort l, k, 4 in descending order.
4, l, k
Let l be (-9 + 680/75)*3*1. Put -0.6, -1, l, -1/3 in ascending order.
-1, -0.6, -1/3, l
Let j = -5 + 11. Let t be (5/(-20))/((-2)/(-4)). Sort t, j, 5.
t, 5, j
Let o be 1/2 + 4/(-24). Let h be 1 + -1 + (-2)/7. Sort -5, h, o in increasing order.
-5, h, o
Let t(k) = 2*k + 10. Let d be t(-4). Sort 4, d, 7 in descending order.
7, 4, d
Let u be 3 - -2 - (1 - | {
"pile_set_name": "DM Mathematics"
} |
= 8622015*l - 45. Let h be z(3). Suppose -4*t - 14*t - h = 0. What is t rounded to the nearest 100000?
-1400000
Suppose -4*k - 693 - 6883 = 0. Let f = k + -1301. Let l = -2175 - f. Round l to the nearest one hundred.
1000
Let y = -1864.6291 - -1866. Round y to two dps.
1.37
Suppose -101*l + 84428639 = 1775017139. What is l rounded to the nearest 100000?
-16700000
Let w(m) = -m**3 - 7*m**2 - 10*m. Let g be w(-5). Suppose 7*x - 5*x + 14240000 = g. What is x rounded to the nearest 1000000?
-7000000
Let g = 5338 - 5337.9999995488. Round g to seven decimal places.
0.0000005
Let g = 5 + -26. Let x = -22.5 - g. Let o = x + 1.49. What is o rounded to 2 dps?
-0.01
Let w be ((-27)/9)/(-2*(-3)/(-21686058)). Let b = -37507853 - -61064840. Suppose 4*o - b - w = -4*j, 3*o + 8599988 = j. Round j to the nearest one million.
9000000
Let i = -2806294 - -2806294.52000152. Let p = -0.3 + -0.22. Let t = i + p. What is t rounded to 7 decimal places?
0.0000015
Let c = -507 + 507.0006946. Round c to 5 dps.
0.00069
Let t = 25 + -19. Let f = -5.9315 + t. What is f rounded to two decimal places?
0.07
Let t = -214.0283 + -30.1457. Let i = t + 244. Round i to 2 dps.
-0.17
Let c = 426786852 + -426786785.0000001. Let l = -67 + c. Round l to seven dps.
-0.0000001
Let x = 286.40539 - 1446.23749. Let v = 1160.4 + x. Let h = 0.545 - v. Round h to 3 dps.
-0.023
Let n = 1001 - 999.141. Let k = n + -1.19. Round k to 2 dps.
0.67
Let w = 101 + 1. Let p = -62 + w. Let s = p - 39.999948. What is s rounded to 5 decimal places?
0.00005
Let s be 544/32*(0 - 2)/(-2). Suppose -4*b = 1 - s. Suppose -2*q - 1439990 = b*x + 3*q, 0 = -x + q - 360002. Round x to the nearest one hundred thousand.
-400000
Let s = 3146296647 + -3146297027.9999671. Let w = s + 381. What is w rounded to six decimal places?
0.000033
Let x = -177975384.07810724 - 1.92189276. Let y = 177975413.0000021 + x. Let r = y - 27. What is r rounded to seven decimal places?
0.0000021
Let x = 1727.99990594 - 1728. Round x to 5 dps.
-0.00009
Let f = -16.4 - -14.17. Let y = 47.2111 + -45.018. Let l = y + f. What is l rounded to 3 dps?
-0.037
Let j = -3854.00376 + 3854. What is j rounded to 3 decimal places?
-0.004
Let a = -21175506.00674 - -21175302. Let x = -204 - a. Round x to four decimal places.
0.0067
Let j = -67367.37 + 68309. Round j to the nearest 10.
940
Let x(l) = l**3 + 28*l**2 + 45*l + 24. Let z be 27*(4 + -3)*-1. Let p be x(z). What is p rounded to the nearest ten?
-460
Let a = 276.4047 - 275.04. What is a rounded to 1 dp?
1.4
Let k = 124.68 + -1889.26. What is k rounded to the nearest 100?
-1800
Let t = -6954 + 6953.999991762. Round t to 6 dps.
-0.000008
Let i = 195147436805 - 195147650726.650033. Let v = 213922 + i. Let n = v + -0.35. What is n rounded to 5 decimal places?
-0.00003
Let y = -14832122 - -7802564. Let s = y + 12347558. What is s rounded to the nearest one million?
5000000
Let r = -484 + 311. Let l = 173.000278 + r. Round l to 4 dps.
0.0003
Let a = 5.908 - -244.472. What is a rounded to the nearest ten?
250
Suppose -6058000 = -3166*z + 3126*z. Round z to the nearest ten thousand.
150000
Let w = 1556 + -2406. Let k = 848.851 + w. Round k to 2 decimal places.
-1.15
Let k = 114028 + -114023.0229. What is k rounded to one decimal place?
5
Let f = -8.3374 + 7.89. Let o = -0.319 - f. What is o rounded to 2 dps?
0.13
Let y = -1533.8 + 1482. Round y to the nearest 10.
-50
Let z = 2.29 + -2.475. Let x = z - 0.376. Round x to one decimal place.
-0.6
Let s = 81699 - 81706.3298. Let b = -7.3 - s. What is b rounded to 3 decimal places?
0.03
Let c = 223063.489 + -425698.246. Let t = c - -202947. Let z = t + -312. What is z rounded to two decimal places?
0.24
Let b be 4/(-6)*(-210)/28 + -133921005. Round b to the nearest one million.
-134000000
Let s = 85.8 - 85.7. Let h = 2.51 - s. Round h to 1 dp.
2.4
Let r = 1.2 + -7.5. Let f = -15327743.699907 + 15327750. Let q = f + r. Round q to 5 decimal places.
0.00009
Let p = -362.1 + 375.63. Round p to zero dps.
14
Let g = 406.587 - 0.587. Let f = -257 + g. Let j = f + -149.000126. What is j rounded to five dps?
-0.00013
Let n = -47606393 + 47606392.79999951. Let v = 0.066 + -0.266. Let a = n - v. What is a rounded to seven decimal places?
-0.0000005
Let m = -159756896317262 + 159756854687477.2999495. Let r = m + 41629776. Let f = -8.7 - r. Round f to five decimal places.
0.00005
Let a = -1208 + 466. Let j = a - -741.9999237. What is j rounded to 5 dps?
-0.00008
Let q = -38508.119 + 38616. Round q to zero decimal places.
108
Let z = 10308217 + -5842217. Round z to the nearest one million.
4000000
Let r(o) = 3*o + 3. Let h be r(-5). Let c be 1*24*100/h. What is c rounded to the nearest 10?
-200
Let s = 57 + -85. Let r = s + 37.5. Let j = 9.49912 - r. What is j rounded to 4 decimal places?
-0.0009
Let v = 726.58 - -4.42. Let x = 730.99998788 - v. Round x to six dps.
-0.000012
Let w = 27 - 25. Suppose 2*c = 4*f + 63112, -w*f - 94676 = -3*c - 0*f. Suppose 0 = h + 53440 + c. What is h rounded to the nearest 10000?
-90000
Let b = 16328.0028368 - 16328. What is b rounded to 4 decimal places?
0.0028
Let y = 1456.69 + -1469. Let b = -0.31 - y. Let a = b + -11.9595. What is a rounded to 3 dps?
0.041
Let c = 0.13481 - 0.28831. Round c to 1 dp.
-0.2
Let d be (-3751200016)/120 - 68/(-510). Round d to the nearest 1000000.
-31000000
Let m = -596.026254 + 288.02594. Let j = m - -308. What is j rounded to four decimal places?
-0.0003
Let l = 5.12 - -443.88. Let k = 449.00003496 - l. Round k to 6 dps.
0.000035
Let a = -168463636 - -168463854.000089. Let q = a - 218. Round q to five decimal places.
0.00009
Let h = -250332383 + 137702383. What is h rounded to the nearest one million?
-113000000
Let t = -70526963.544001655 - -70526462.544. Let h = t - -501. What is h rounded to seven dps?
-0.0000017
Let x = 1403.2 + -1403.199990239. What is x rounded to seven dps?
0.0000098
Let v = 304.76 + -4.76. Let k = v - 300.00029. Round k to three dps.
0
Let l = -5.801 + 0.201. Let q = 6.66 + l. Round q to one dp.
1.1
Let s = -461.10397309 + 1.10716309. Let v = s - -460. Round v to 4 decimal places.
0.0032
Let h = 458 - 836. Let q = h + 377.9262. Let x = q + 0.062. What is x rounded to 3 dps?
-0.012
Let o = -2148.4 + 2147.99715. What is o rounded to 2 decimal places?
-0.4
Let h(r) = 463*r**2 + 9*r - 14. Let n be h(2). Let m be (7 - 2) + (n - -6). Let l = -1267 + m. What is l rounded to the nearest 100?
600
Let q be 10/(-4 + 2) - -9752862. Suppose 4*a + 2160857 = q. What is a rounded to the nearest one hundred thousand?
1900000
Let m = 828498 + -828439.7489. Let b = 0.0111 - m. What is b rounded to the nearest integer?
-58
Let j = 9249 + -9259.037. Round j to zero decimal places.
-10
Suppose -4*z - 6*z = -2*z. Suppose 0*d + d - 274 = z. Suppose 0*r - 2*r - d = -2*a, -2*r + 4*a = 268. Round r to the nearest 100.
-100
Let q = 323 - 321. Let m = q - 2.000366. What is m rounded to five dps?
-0.00037
Suppose 2*c + 10 = 3*v + 3*c, 0 = 4*v + 2*c - 14. Suppose 7*h - 3*h + 72 = 3*b, v*h + 3*b + 33 = 0. Round h to the nearest one hundred.
0
Let z be (-2)/(-6) + (-76727480)/24. Let p = z + 2282978. What is p rounded to the nearest one hundred thousand?
-900000
Let k = 74.5 + -9.5. Let l = 196502098.9999995 - 196502164. Let j = l + k. What is j rounded to seven decimal places?
-0.0000005
Let x = -4.12599296 - -4.126. What is x rounded to 7 decimal places?
0.000007
Let v = -87.8 + 15.8. Let j = v + 72.000054. What is j rounded to four decimal places?
0.0001
Let w(t) = 4770*t - 51. Let x be w(-9). Let q be (-1 + 6/12)/(1/14038). Let z = q + x. What is z rounded to the nearest one hundred thousand?
-100000
Let o = -685.9395 - -686. Let u = o + -0.05795. Round u to four decimal places.
0.0026
Let v = -0.154082 - -0.044148. Let f = -3285.89 - -3286. Let h = f + v. What is h rounded to 5 dps?
0.00007
Suppose 0 = 16*d - 532039082 - 9829178 - 78499740. What is d rounded to the nearest 100000?
38800000
Let y = -51486263.45000355 - -51486265. Let l = y + -1.55. What is l rounded to 6 decimal places?
-0.000004
Suppose 5 = 3*l + 2, -3*c + 2586 = -3*l. Suppose 3*x - 4*w + 771 - 21446 = 0, 0 = -3*x + 2*w + 20677. Suppose 0 = 3*u + c - x. Round u to the nearest 100.
2000
Let k = -287.95027517 + 287.95. What is k rounded to four d | {
"pile_set_name": "DM Mathematics"
} |
f - 1. Let y be p(-4). Suppose -3*q - y - 74 = 0. Let h = -12 - q. List the prime factors of h.
3, 5
Let l = -3 + 68. Suppose 3*c - l - 7 = 0. What are the prime factors of c?
2, 3
Let i = -44 - -68. Let n(x) = x**3 - 4*x**2 - 2*x + 2. Let l be n(3). Let b = i + l. List the prime factors of b.
11
Suppose -4*c + x - 41 = -2*x, -3*x + 30 = -3*c. Let l = c + 22. Let m = l + -5. What are the prime factors of m?
2, 3
Let z(m) = m + 1. Let c(g) = g + 2. Let b(q) = 2*c(q) - 3*z(q). Let k be b(-2). Suppose -6 + 63 = 4*x + j, -3*x + 36 = k*j. List the prime factors of x.
3, 5
Suppose 0 = 4*f - o - 209, -2*f + 7*f + 2*o = 245. What are the prime factors of f?
3, 17
Let b = -159 - -293. List the prime factors of b.
2, 67
Let p(n) = n**3 + 3*n**2 - n + 1. Let c be p(-3). Let f be 9/2 + (-2)/c. Suppose -12 + f = -4*y. List the prime factors of y.
2
Let k = -29 - -48. Suppose 0 = 5*u + 5*r - 40, 0*u + 2*r = -3*u + k. What are the prime factors of u?
3
Suppose 4*n = -2*t + 38, -5*n + 36 + 7 = -2*t. Suppose -5*b + n*b - 148 = 0. List the prime factors of b.
37
Let b(z) = z**2 + 7*z - 10. Let q be b(-7). What are the prime factors of q/(-50) - (-358)/10?
2, 3
Let b(d) = d + 4. List the prime factors of b(0).
2
Suppose -4*g - g - 5 = -o, -4*g = 4*o - 20. Let w = 14 + g. What are the prime factors of w?
2, 7
Let l be -1*3/(3/3). What are the prime factors of ((-6)/4)/(l/4)?
2
Let n(t) = 2*t + 20. Let v = -16 + 16. List the prime factors of n(v).
2, 5
Suppose 6*w - 2*w = 292. What are the prime factors of w?
73
What are the prime factors of 314/6*3*2?
2, 157
Let c = -13 - -8. Let q be (-47)/(-7) - 6/(-21). Let y = q + c. What are the prime factors of y?
2
Suppose -20 = a - 5*a. Suppose -a*q = -q - 36. What are the prime factors of q?
3
Suppose -3*z = -4*i + 25 - 9, 2*z + 10 = 3*i. Let b(t) = -t**3 - 8*t**2 - 6*t - 3. Let q be b(z). Suppose -2*w - q = -5*w. What are the prime factors of w?
3, 5
Let l(k) be the third derivative of k**5/12 - k**3/6 + 2*k**2. Let g be l(-1). Suppose c = -c + 5*i + 42, i + g = 0. What are the prime factors of c?
11
Let w(f) = 2*f + 41. What are the prime factors of w(-6)?
29
Suppose l + 3*l = -b + 40, 3*l = b + 37. What are the prime factors of l?
11
Let f(d) be the third derivative of d**5/30 + d**4/24 + d**3/6 + 2*d**2. What are the prime factors of f(-3)?
2
Let c(s) be the first derivative of -s**3/3 - 4*s**2 + 3*s + 1. What are the prime factors of c(-7)?
2, 5
Let u = 655 - 374. What are the prime factors of u?
281
Let l be 20/5 - (-29 - 1). Let h be 0/(-1)*(-3 + 2). Suppose -2*s + h*s + l = 0. List the prime factors of s.
17
Let s(g) = -g**3 - 7*g**2 - 7*g - 7. Let r be s(-6). List the prime factors of -2 + r + 2 + 22.
3, 7
Let q be (-2)/10 + (-199)/5. Let f be (6/(-2))/(12/q). Suppose -5*a - 10 = f, -3*a = 5*n - 38. What are the prime factors of n?
2, 5
Let m(w) = 4 - 4 - 4*w. Let b be m(-2). Let p = 16 - b. List the prime factors of p.
2
Let t(a) = 2*a**3 - 1. Let g be t(-1). What are the prime factors of 28 + -2 + 3 + g?
2, 13
Let c(n) = 2*n**2 - 11*n - 25. Let a(z) = z**2 - 6*z - 13. Suppose -3*b = -b + 12. Let o(d) = b*c(d) + 11*a(d). List the prime factors of o(0).
7
Suppose 13 = 2*f + 1. What are the prime factors of f?
2, 3
Let i(d) = d**3 + 4*d**2 - 10*d - 8. Let z be i(-6). Let q = -12 - z. List the prime factors of (q + -2)/((-3)/(-4)).
2
Suppose a = 5*a - 8. Suppose -3*i + 75 + 45 = -2*w, a*w = 0. Suppose -l - i = -6*l. What are the prime factors of l?
2
Let g(d) = -d**2 - 28*d + 3. What are the prime factors of g(-24)?
3, 11
What are the prime factors of -4*(-4)/(-12)*138/(-2)?
2, 23
Let y be (6/5)/(1/5). Suppose v - 5 = y*v + 5*r, 3*r = -2*v - 7. What are the prime factors of v/(-6) - (-76)/6?
2, 3
What are the prime factors of (-1)/((-15)/6 - -3) - -207?
5, 41
Let l(w) = 7*w**3 + w**2 - 5*w + 2. Let b(n) = 10*n**3 + n**2 - 8*n + 3. Let u(o) = 5*b(o) - 7*l(o). List the prime factors of u(4).
13
Let t(i) = i**3 - i**2 - i + 1. Let j be t(0). Let n = -1 - j. List the prime factors of 1/(33/15 + n).
5
Let x(j) = -j**3 - 4*j**2 + 5*j + 3. Let s be x(-5). Let l = s + 1. What are the prime factors of l?
2
Suppose 4*g - 3*g - 4 = 0, -16 = 2*n - 5*g. Let a be (-94)/(-14) - n/(-7). Suppose a = -5*d + 77. List the prime factors of d.
2, 7
Suppose 5*z + 3 = -3*o, 0 = -4*o + 5*z - 1 - 3. Let c = 1 + o. Suppose c = -3*x + 4*t + 33, 4*x - 2*x + t = 11. List the prime factors of x.
7
What are the prime factors of 1*(4/(-1) - -117)?
113
Let u(q) = q**2 + 10*q - 4 - 2*q**2 + 0*q**2. List the prime factors of u(7).
17
Let h = 9 - 6. Suppose -z - 2*z + h*j = -54, 0 = -j - 3. What are the prime factors of z?
3, 5
Let g = -14 + 43. Let c = g + -18. What are the prime factors of c?
11
Suppose p - 12 = -2*p. What are the prime factors of p?
2
Let l = -2 + 12. Suppose -2*u = 3*u - l. Suppose -u = -4*i + 10, -4*t + i = -13. List the prime factors of t.
2
What are the prime factors of (7 - 2) + 134 + 6?
5, 29
Let u be 4/18 + (-1770)/(-54). Let s = u + -16. What are the prime factors of s?
17
Let i(l) = -l**3 + 9*l**2 + 13*l - 13. List the prime factors of i(10).
17
Let j(t) be the first derivative of -t**2 + 4*t + 3. List the prime factors of j(-4).
2, 3
Let j(a) be the second derivative of a**7/2520 - a**6/180 + a**5/120 + a**4/12 - 2*a. Let r(m) be the third derivative of j(m). List the prime factors of r(5).
2, 3
Let j = 79 - 34. List the prime factors of j.
3, 5
Let t(g) = -8*g - 7. Let z(x) = -7*x - 6. Let q(r) = 6*t(r) - 7*z(r). Let a be q(2). Let i = a + 0. List the prime factors of i.
2
Suppose 18*g = 13*g + 425. What are the prime factors of g?
5, 17
Let u = -21 + 39. List the prime factors of u.
2, 3
Let t be (-1 + 2)/(0 - -1). Let z = 3 + t. Let v = z + 1. What are the prime factors of v?
5
Let m be (-40)/25*40/(-2). Let b be m - 0 - (1 - 1). Suppose 4*k - 8 = b. List the prime factors of k.
2, 5
Suppose 3*y - 2*y = 26. List the prime factors of y.
2, 13
Suppose -5*w + 1473 = -2*j, -10*w + 11*w = -2*j + 297. List the prime factors of w.
5, 59
Let v = 1 - -2. Let x = v - -10. Let r = 23 - x. What are the prime factors of r?
2, 5
Let y be (6/5)/(1/5). Let p(z) = z + 3. Let m be p(y). Suppose 6*u - m = 5*u. List the prime factors of u.
3
Suppose v + 3*m - 408 = -2*v, 3*m - 672 = -5*v. List the prime factors of v.
2, 3, 11
List the prime factors of (-3 + 1 - 28)*-1.
2, 3, 5
Let o be 1 + 2 + (-1 - -2). Suppose -4*x + 2*u = -22, 5*u + 1 = 4*x - 3*x. Suppose 2*v = -o*t + 36, -3*t + 4*t = v - x. What are the prime factors of v?
2, 5
Suppose -4*x + x + 15 = 0. Suppose -3*q + q + 71 = x*v, 0 = -5*v + 3*q + 81. List the prime factors of v.
3, 5
Let y(o) = -21*o**3 - o**2 - 2*o. Let f be y(-1). Suppose -6 = s - f. What are the prime factors of s?
2
Let q = 11 - 4. Let l(x) = 5*x + 4*x - 2*x**2 + x**3 - 8 - 6*x**2. What are the prime factors of l(q)?
2, 3
Let s = -9 + 13. List the prime factors of 466/8 + s/(-16).
2, 29
Suppose -3*u - 24 = 3. Let h(c) = c**2 + 9*c + 4. Let w be h(u). Suppose -7*i + 42 = -w*i. List the prime factors of i.
2, 7
Let a(o) = 3*o - o + 2*o - 5*o. Let s = -6 + 0. What are the prime factors of a(s)?
2, 3
Suppose 4*d = d + 6. Suppose -7 = -y - d. List the prime factors of y.
5
Let m(y) = -y**2 + 8*y - 2. Let z(t) = -t + 8. Let b be z(6). Suppose 5*v = -4*q + 10, 4*q + 8 = -b*v - 0*v. List the prime factors of m(v).
2, 5
Suppose -2*b = d - 110, -74 = -d + b + 39. What are the prime factors of d?
2, 7
Let g(p) = 3*p - 1. Let t be -7 - (0 + (-3 - -2)). Let k be (-16)/t*(-6)/(-4). What are the prime factors of g(k)?
11
Suppose 5*u = 25, j - 3*u = 2*u + 36. List the prime factors of j.
61
Let d(k) = -k + 8. Let c(n) = 4. Let v(j) = 11*c(j) - 6*d(j). What are the prime factors of v(2)?
2
Suppose -p - 2*p + 24 = 0. Let c = p - -2. Suppose 3*i - 70 = -c. What are the prime factors of i?
2, 5
Let f be (14/(-5))/((-2)/5). Let v(x) = -x**2 + 9*x - 10. List the prime factors of v(f).
2
Suppose -4*m - 3 = 1. Let r(a) = -6*a + 1. What are the prime factors of r(m)?
7
Suppose -136 = -5*x + 274. List the prime factors of x.
2, 41
List the prime factors of (-4)/(-18) + 1452/(-27)*-1.
2, 3
Suppose 4*m - 3*w = 1072, 3*m + 273 = 4*m - 2*w. What are the prime factors of m?
5, 53
Let f(c) be the third derivative of c**5/20 - c**4/8 - 2 | {
"pile_set_name": "DM Mathematics"
} |
ominator of (-1)/((-84)/914) - 48/(-168) and d.
30
Suppose -2*k - 3*k - 80 = 0. Find the common denominator of ((-4)/k)/((-1)/65) and -13/20.
20
Let n(i) = 9*i + 1. Let c(l) = 5*l. Let o(m) = -11*c(m) + 6*n(m). What is the lowest common multiple of o(-5) and 6?
66
Let y(l) = l**3 + 4*l**2 - 3. Let x be y(-4). Let g(h) = -h**2 - 4*h + 5. What is the lowest common multiple of 1 and g(x)?
8
Let q = 94299/14 - 6730. Find the common denominator of q and -75/304.
2128
Let o(t) = -2*t**2 - 46*t + 20. Suppose -3*j = -4 - 26. What is the smallest common multiple of j and o(-23)?
20
Let o = -4517 - -6409. What is the smallest common multiple of o and 18?
17028
Suppose 3*y - 10 = 4*f - 106, -5*f + 64 = -2*y. What is the common denominator of y/(-48) - (-17)/24 and (-6)/9 + (-83)/18?
72
Let b = -2861 + 2873. Suppose 4*z = -5*j - 1 + 57, -2*j + 8 = -2*z. What is the least common multiple of b and j?
24
Let c(d) = -11*d - 113. What is the smallest common multiple of 22 and c(-29)?
2266
Let h(t) = 3*t**2 + 21*t - 7. Let y(x) = -2*x**2 - 11*x + 3. Let o = 24 - 19. Let p(w) = o*y(w) + 3*h(w). Calculate the lowest common multiple of p(6) and 4.
12
Let u = 1 - -2. Calculate the smallest common multiple of u and (-708)/(-156) - (-60)/130.
15
Suppose 6 = 4*j - 18. Let p be 14*(4 + (-21)/j). Calculate the least common multiple of ((-46)/6)/(p/(-42)) and 16.
368
Suppose -3*h + 1178 = 4*l, 291 = -4*l + 5*l - h. Let x = l - -124. What is the common denominator of -41/16 and (x/24)/(3/(-4))?
48
Suppose -448 = -c + 3*o - 69, -2*c = 4*o - 768. What is the common denominator of c/(-63) - (15/21 - 1) and -87/2?
18
Find the common denominator of (-575)/(-165) + (-2)/(-6) and -46/7.
77
Let h = -3 - -12. Let r = -165 + 200. What is the smallest common multiple of r and h?
315
Suppose 0 = -n - 5*n + 24. What is the smallest common multiple of 33/n + (-10)/40 and 12?
24
Suppose s + 15 = 4*s. Let w(v) = -v**3 - 5*v**2 + 4. Let k be w(-5). Let c(g) = -g**3 + 5*g**2 - 2*g - 2. What is the least common multiple of c(k) and s?
30
Let o = 2101 - 12703/6. Calculate the common denominator of -67/234 and o.
234
Let k = 540 + -535. Suppose 3*l + 2*x + 114 - 44 = 0, -2*x = l + 26. Let z = l + 32. Calculate the lowest common multiple of k and z.
10
Let i(y) = 6*y - 3 - 1 - y**2 - 1. What is the smallest common multiple of i(4) and -1 + 1 + 3 + 0?
3
Suppose 0 = b - 8 - 4. Suppose -509*z + 494*z = -30. Calculate the least common multiple of b and z.
12
Calculate the common denominator of 1995/430 - (1 + (-20)/(-8)) and 65/9.
387
Let u be (-91)/(-26) - 3/2. Calculate the lowest common multiple of (242/(-77))/(u/(-14)) and 20.
220
Let i = -495 - -507. Calculate the least common multiple of 30 and i.
60
Let v = -973 - -2001/2. Find the common denominator of v and 1 + -4 + (-75)/(-27).
18
Let t(m) = 4*m**2 + 1. Let f be (-2)/(-3) + (-14)/(-6). Suppose 5*q - y - f = 0, -q - 2*y + 3 = -2*q. What is the least common multiple of 12 and t(q)?
60
Let j = -14312 + 858751/60. Calculate the common denominator of j and -35/16.
240
Suppose x = 3*q - 21, 0 = -2*x + 6*x - 12. Calculate the least common multiple of q and 30.
120
Let r = -28 + 32. Suppose -f = -4*n + 7082, -r*n - 2*f = 2868 - 9944. Let c = n + -3629/2. Calculate the common denominator of 21 and c.
2
What is the smallest common multiple of ((-324)/(-7))/(((-42)/(-7))/42) and 44?
3564
Let r = 45314 - 3353293/74. What is the common denominator of r and -117/10?
370
Let a = -1234 + 17285/14. Calculate the common denominator of a and 73/32.
224
Calculate the common denominator of 2/21 and 37 + -37 + 3/((-234)/11).
546
Let g = -158 + -2581. Let p = -664356 - -4002689/6. Let u = g + p. What is the common denominator of u and 44/5?
30
Let h = 2 + 1. Let f(y) be the first derivative of 5*y**2/2 - y + 25. What is the least common multiple of 6 and f(h)?
42
Suppose 0 = 2*p + 5*f + 13, 5*p - 2*p + f + 13 = 0. Let d be p/(-5)*(-10)/(-4). Suppose 0 = -0*g + d*g - 4. Calculate the least common multiple of g and 6.
6
What is the smallest common multiple of 9/1*(-6)/(-18) and 92?
276
Find the common denominator of (-2 + 1)*15/(585/(-169)) and -55/56.
168
Let a be ((-2)/4)/(2/4). Let n = -1782/5 - -12339/35. Find the common denominator of a + -1 - 154/8 and n.
28
Let u = 7 + -5. Let w be (-110)/25 + u/5. Calculate the lowest common multiple of (-2)/w*(-28)/(-2) and 5.
35
Let d be (-16)/(-1) + (9 - 11). Let i = -13 + d. Calculate the smallest common multiple of i and 7.
7
Let h = -178853/28 - -6390. Calculate the common denominator of 5/14 and h.
28
Let t = 24190000061 - 923332302383901/38170. Let j = t - -1/3470. Calculate the common denominator of j and (-62)/6 + 14/189*9.
33
Let r(p) = -p - 14. Let a be r(-7). Let q(v) = v**3 + 8*v**2 + 1. What is the smallest common multiple of 8 and q(a)?
200
Calculate the lowest common multiple of (-14)/4*(29 - 31) and 8.
56
Let d(m) = m**2 + 10*m - 27. Let o be d(-11). Suppose -6*s + s = -120. Let p = o + s. Calculate the lowest common multiple of p and 16.
16
Let y be (4 - 5)*7930 - -3. Let u = -12944 - y. Let c = -40079/8 - u. What is the common denominator of c and -25/14?
56
Let w = -157 - -185. Calculate the least common multiple of 10 and w.
140
What is the lowest common multiple of 4 and (-14 + 1)/(59/(-413))?
364
Let c = 1793 - 1781. What is the smallest common multiple of c and 56/3*6/4?
84
Suppose 0*w - 5*w + 5 = 0. Let g be 26/10*(-10)/(-2). Let h = g - w. Calculate the least common multiple of h and 12.
12
Let m(v) = 10*v**3 + v**2 - v. Let c be m(1). What is the lowest common multiple of 8 and 20/8*24/c?
24
Let q(g) = -g**3 + 2*g**2 + 12*g + 19. What is the least common multiple of q(-3) and 124?
868
Let w(u) = -u**2 + 6*u + 15. Suppose -8*q + 37 + 19 = 0. Calculate the smallest common multiple of 26 and w(q).
104
Let d = 1573/3 + -516. Find the common denominator of d and -25/21.
21
Let b(z) = 10 + 13 + 9*z + 6*z - z**2 - 29. Suppose 4*c = 4*w + 16, -3*c + 4*w - 4 + 16 = 0. What is the smallest common multiple of b(6) and c?
48
Let d = -2000 + 63995/32. Let x = 813/224 - d. Find the common denominator of -77/8 and x.
56
Let b be (-1)/(4/(-26) - 6/(-208)). Suppose -m - 3*u + b = 2*u, 32 = 4*m - 4*u. Calculate the lowest common multiple of 2 and m.
8
Let n(g) = -g**3 + 6*g**2 + 10*g - 35. Calculate the smallest common multiple of n(3) and 666.
7326
Suppose -2*m - 3*y - 3 = 0, -2*m + 3*y + 7 = -8. Suppose -m*k + 144 = 5*k. What is the lowest common multiple of k and 8?
72
Let o = -3/275 + 5231/550. Find the common denominator of o and 79/16.
16
Suppose 5*n = 3*n - 10, o - 3*n - 25 = 0. Suppose 2*j - 16 = -2*j. Suppose 4 = -j*z + 44. Calculate the smallest common multiple of z and o.
10
Suppose -4*j + 2*d = -6*j + 20, -5*j = -4*d - 68. Suppose 0 = -h + j - 4. Calculate the smallest common multiple of 11 and h.
88
Let s(l) = 2*l**2 + 2*l - 4. Let x(o) be the first derivative of -o**2 + 2*o + 21. Calculate the lowest common multiple of s(-3) and x(-7).
16
Let w = -6212203/6163038 + 2/48913. What is the common denominator of -76/9 and w?
126
Suppose p - 8 = 1. Suppose 0 = q + 70 - 79. What is the lowest common multiple of p and q?
9
Let l = -25 + 33. What is the least common multiple of 14 and l?
56
Let z = 23 - 20. Suppose 0 = z*a + 14 - 50. Calculate the least common multiple of a and 3.
12
Let m = 151 - 223. Find the common denominator of -6*(-2)/80*(-2100)/m and -133/24.
24
Let n = 55 + -61. Let p = -2 + -2. What is the smallest common multiple of 22 and (p/n)/((-1)/(-3))?
22
Let h = -1 + 9. Calculate the smallest common multiple of h and -4 + (-44)/(-8) + (-301)/(-14).
184
Suppose 234*s - 308 = 223*s. Let p = 52 - 32. Calculate the smallest common multiple of s and p.
140
Let j = 293159/450 + -5872/9. Calculate the common denominator of -51/5 and j.
50
Suppose j + 2*s + 3 = 0, -s + 4*s = -5*j - 15. Let u be (-5)/j + (-4)/(-12). What is the least common multiple of u - 2/((-6)/21) and 10?
90
Suppose 4*s - 32 = -8. Find the common denominator of 13/18 and s/4 + (-14)/3.
18
Suppose -5*d - 20 = 0, 3*t - 5*d + 0*d = -34. Calculate the common denominator of 14/9 - -2*6/t and -64/15.
45
Let j be (8/5 - 2)/((-1)/(-50)). Calculate the common denominator of (-4)/6 - (-598)/(-12) and ((-228)/144)/((-2)/j).
6
Let g = | {
"pile_set_name": "DM Mathematics"
} |
n(-12).
7
Let d(f) = -2*f**2 - 1484*f - 170181. What is d(-142)?
219
Let h(i) = -225*i + 9052. Determine h(55).
-3323
Let y(l) = l**3 - 75*l**2 + 129*l + 41. What is y(2)?
7
Let l(t) = 36*t**3 - 5*t**2 + 4*t. Calculate l(-1).
-45
Let c(r) = 330022*r - 22771517. Determine c(69).
1
Let h(l) = -1500*l - 13416. Calculate h(-9).
84
Let u(w) = w**2 + 3510*w + 2065966. Give u(-748).
-10
Let p(d) = 10*d**2 - 1054*d + 4431. What is p(101)?
-13
Let k(u) = -u**2 - 8616*u - 521807. Calculate k(-61).
48
Let c(f) = 3370*f + 1209747. Give c(-359).
-83
Let k(s) = s**3 - 4*s**2 + 123*s - 769. Give k(6).
41
Let c(f) = -2*f**3 + 45*f**2 + f + 562. Calculate c(23).
56
Let l(t) = -596*t + 3063. Determine l(6).
-513
Let i(y) = -93*y**2 - 34*y - 38. Determine i(-1).
-97
Let m(w) = 16*w**2 + 6158*w + 48204. Give m(-8).
-36
Let g(r) = -1345*r + 1920. Calculate g(2).
-770
Let f(s) = -10*s**2 + 690*s - 2036. What is f(3)?
-56
Let h(f) = -f**3 - 19*f**2 - 309*f - 4787. Determine h(-17).
-112
Let c(b) = -2*b**3 + 90*b**2 - 521*b + 679. Give c(2).
-19
Let a(o) = 8*o**2 + 1591*o + 5654. Calculate a(-195).
-391
Let m(o) = -o**3 + 246*o**2 - 2802*o - 104. Determine m(12).
-32
Let m(p) = -1026*p + 288322. Calculate m(281).
16
Let f(z) = 248*z - 32496. Calculate f(131).
-8
Let h(i) = 5*i**2 - 6480*i + 25909. What is h(4)?
69
Let s(w) = -2*w**3 + 3*w**2 - 8*w + 74. Give s(9).
-1213
Let y(x) = -227*x + 10928. Calculate y(48).
32
Let c(q) = q**3 + 28*q**2 - 548*q - 575. Calculate c(-41).
40
Let z(j) = -j**2 - 163*j - 3517. Give z(-29).
369
Let b(n) = 118*n - 9169. Determine b(76).
-201
Let i(z) = 172*z**2 + 5211*z + 5208. Calculate i(-1).
169
Let o(h) = -277*h + 21544. Calculate o(78).
-62
Let f(x) = 5*x**2 - 869*x - 10971. What is f(-13)?
1171
Let y(l) = 445*l - 11088. What is y(24)?
-408
Let l(t) = -207989*t + 1663958. What is l(8)?
46
Let l(d) = d**3 - 217*d**2 + 2271*d - 1484. Give l(206).
-454
Let q(o) = 2*o**2 - 162*o + 1784. Determine q(72).
488
Let j(w) = 38*w**3 + 949*w**2 - 28*w - 91. Determine j(-25).
-16
Let t(n) = 131*n**2 - 850*n + 5190. What is t(6)?
4806
Let t(a) = 8*a**2 - 298*a + 1130. What is t(31)?
-420
Let d(q) = -2*q**2 + 876*q - 22263. Give d(27).
-69
Let l(x) = -10*x**2 + 122*x + 608. What is l(16)?
0
Let c(u) = 26796*u + 535933. What is c(-20)?
13
Let g(n) = -1447*n - 467382. Determine g(-323).
-1
Let a(s) = 36798*s - 441451. Calculate a(12).
125
Let a(z) = -31*z**3 - 104*z**2 - 2*z - 27. Calculate a(-3).
-120
Let w(q) = 8*q**2 - 2337*q + 11656. Calculate w(5).
171
Let x(a) = a**3 - 32*a**2 + 163*a + 5. Calculate x(20).
-1535
Let i(h) = 8759*h + 280286. Determine i(-32).
-2
Let m(p) = 81*p + 1638. Calculate m(-7).
1071
Let y(q) = q**3 - 3*q**2 - 663*q + 241. Calculate y(25).
-2584
Let b(o) = 108746*o + 34037497. Determine b(-313).
-1
Let l(k) = -1879611*k + 5638857. Calculate l(3).
24
Let i(h) = 143*h**2 - 5*h - 1. Determine i(2).
561
Let n(w) = 58895*w + 65667930. Determine n(-1115).
5
Let t(m) = -m**2 - 1024*m - 192448. Determine t(-776).
0
Let y(r) = r**3 + 58*r**2 - 50*r - 1965. Calculate y(-58).
935
Let o(z) = 6*z**2 - 719*z + 21279. Calculate o(64).
-161
Let p(m) = 3*m**3 + 95*m**2 - 140*m + 25. Calculate p(-33).
289
Let b(o) = -o**3 - 139*o**2 + 895*o + 3619. Determine b(-145).
-6
Let l(r) = -71*r**2 + 381*r + 251. Calculate l(6).
-19
Let q(i) = 1822*i - 189488. Determine q(104).
0
Let t(q) = -655483*q + 655518. Determine t(1).
35
Let r(b) = 1109*b - 4430. Calculate r(4).
6
Let o(v) = 2*v**3 + 208*v**2 + 590*v - 359. What is o(-101)?
1257
Let l(x) = -x**3 + x**2 + 3982*x - 4. Calculate l(0).
-4
Let f(x) = -x**2 - 1546*x - 367075. Give f(-293).
54
Let z(b) = 11*b**2 - 14445*b - 57805. Determine z(-4).
151
Let p(t) = 1127*t - 27004. Give p(24).
44
Let k(z) = -2*z**3 + 33*z**2 - 120*z + 1189. Determine k(15).
64
Let c(h) = 47088*h - 11018595. Give c(234).
-3
Let r(d) = 17*d**2 - 225*d - 1066. Give r(17).
22
Let k(t) = -t**3 - 169*t**2 + 3993*t - 71. Calculate k(21).
-8
Let m(o) = o**3 - 31*o**2 - 989*o + 30144. Give m(34).
-14
Let s(f) = 803*f - 3230. Give s(4).
-18
Let m(j) = j**2 - 710*j + 118220. Give m(444).
116
Let i(j) = 36*j**2 - 2315*j - 29824. Determine i(-11).
-3
Let s(c) = 193*c**2 - 10444*c + 1185. Calculate s(54).
-3
Let r(d) = 2161*d + 140362. Give r(-65).
-103
Let w(i) = 16261*i + 16472. Calculate w(-1).
211
Let u(h) = -h**3 - 7*h**2 - 190*h - 1877. Give u(-9).
-5
Let i(w) = -w**3 + 6*w**2 + 208*w + 232. Calculate i(-11).
1
Let v(k) = 9*k**2 + 445*k + 1390. Determine v(-46).
-36
Let j(q) = -2*q**3 + 76*q**2 - 400*q - 17. What is j(31)?
1037
Let c(y) = 8*y**2 + 3576*y - 90597. Determine c(24).
-165
Let o(b) = 922*b - 10103. Calculate o(11).
39
Let k(a) = 3*a**2 - 21*a - 1970. What is k(30)?
100
Let j(i) = -10*i**2 - 1384*i - 449. What is j(-138)?
103
Let p(f) = f**3 - 6*f**2 - 906*f + 4753. Calculate p(5).
198
Let b(d) = -939*d - 47859. Calculate b(-51).
30
Let o(b) = 2*b**3 - 194*b**2 + 1587*b - 177. Give o(88).
87
Let x(l) = 2907*l + 41452. What is x(-15)?
-2153
Let k(q) = -q**3 + 121*q**2 + 488*q - 98. Give k(-4).
-50
Let i(b) = b**3 - 238*b**2 - 9232*b + 240223. Determine i(269).
6
Let y(b) = -9*b**3 - 213*b**2 + 216*b + 3436. Determine y(-24).
-20
Let d(j) = -j**3 + 184*j**2 - 415*j + 42460. Calculate d(183).
4
Let y(p) = 3*p**2 + 518*p + 8439. Calculate y(-18).
87
Let o(k) = -25589*k - 101110. Determine o(-4).
1246
Let d(t) = -2*t**3 + 261*t**2 + 1229*t - 1913. What is d(135)?
-23
Let t(y) = 305689*y - 1222759. Determine t(4).
-3
Let j(x) = x**2 - 966*x - 34367. Determine j(-35).
668
Let h(d) = d**3 + 114*d**2 - 61235*d + 9949. Determine h(-311).
-3
Let m(i) = 2*i**3 + 49*i**2 - 92*i - 2959. Calculate m(-23).
744
Let x(d) = 2*d**2 + 11589*d - 185929. Give x(16).
7
Let o(j) = -58*j**2 - 561*j + 101. Determine o(-10).
-89
Let f(l) = 17580*l + 175852. What is f(-10)?
52
Let a(d) = 2*d**2 + 107*d - 5662. Determine a(-91).
1163
Let y(w) = 489*w - 40925. Give y(84).
151
Let t(b) = -5*b**2 - 40*b + 1058. Calculate t(-22).
-482
Let c(i) = 699*i - 490. Give c(3).
1607
Let s(o) = -o**3 + 7244*o - 10. Give s(0).
-10
Let p(v) = -97*v**2 - 838*v + 4232. What is p(5)?
-2383
Let g(x) = 1039*x + 24886. Determine g(-24).
-50
Let j(i) = -1146*i + 194. Give j(-1).
1340
Let f(y) = y**2 + 1295*y + 81092. Give f(-66).
-22
Let u(l) = -l**3 + 51*l**2 - 112*l - 2966. Calculate u(10).
14
Let s(y) = y**3 + 51*y**2 + 31*y + 672. What is s(-50)?
1622
Let k(u) = -2*u**2 - 1894*u - 255642. Determine k(-163).
-58
Let j(m) = 343*m - 1833. What is j(11)?
1940
Let p(o) = -o**2 - 1510*o - 14969. Determine p(-10).
31
Let z(i) = 24*i**3 + 836*i**2 - 833*i + 5. Determine z(1).
32
Let d(c) = -4*c**2 + 533*c + 1577. Calculate d(-3).
-58
Let p(h) = -111*h**2 + 93*h + 161. Give p(-3).
-1117
Let j(i) = -2171251*i + 21712503. Determine j(10).
-7
Let z(u) = 24941*u - 773146. Give z(31).
25
Let u(m) = 3*m**2 - 110*m - 2055. Determine u(-14).
73
Let q(d) = -4*d**2 - 74*d + 1496. Calculate q(11).
198
Let k(p) = -542*p - 10096. Give k(-17).
-882
Let z(y) = -385*y - 110851. Give z(-290).
799
Let p(m) = 183783*m + 2021618. Give p(-11).
5
Let q(o) = -o**3 + 48*o**2 + 171*o - 2716. Give q(50).
834
Let y(k) = 34*k**2 - 40*k + 9. Determine y(-9).
3123
Let x(a) = -645*a**2 + 1283*a + 14. Give x(2).
0
Let s(b) = -11*b**2 - 4663*b + 4661. Calculate s(1).
-13
Let r(l) = -2*l**3 - 8*l**2 + 39*l + 276. Calculate r(-9).
735
Let g(k) = 1096*k**2 - 351*k - 6. Determine g(1).
739
Let z(f) = f**2 - 28419*f - 341227. Determine z(-12).
-55
Let h(b) = b**3 - 254*b**2 + 1505*b - 103. Give h(6).
-1
Let n(l) = 3*l**2 + 12691*l + 1227021. Determine n(-99).
15
Let o(n) = 3*n**3 + 1018*n**2 + 1333*n - 6570. What is o(-338)?
-148
Let q(t) = -t**3 + 3*t**2 - 525*t + 3792. Calculate q(7).
-79
Let z(h) = -43*h**2 + 40*h + 321. What is z(-5)?
-954
Let g(m) = -21867*m + 1443251. Give g(66).
29
Let q(t) = 1326*t - 3739. What is q(3)?
239
Let t(c) = 3890*c + 198400. What is t(-51)?
10
Let n(q) = -2*q**3 + 159*q**2 + 12*q + 5330. Calculate n(80).
-110
Let x(s) = -5*s**3 + 89*s**2 + 291*s + 35. Calculate x(20).
1455
Let q(n) = -50*n**3 - 55251*n**2 - 1102*n + 3310. Give q(-1105).
-5
Let u(w) = -w**3 - 27*w**2 - 52*w + 113. Calculate u(-24).
-367
Let l(t) = -2*t**3 - 96*t**2 - 86*t - 32. What is l(-47)?
-408
Let | {
"pile_set_name": "DM Mathematics"
} |
derivative of 6*k**5 + 3693*k**4 - 1166*k**2 - 200502171*k wrt k?
120*k**3 + 44316*k**2 - 2332
Differentiate 8375*o**4 - 7835*o**3 + 3*o - 647566690 wrt o.
33500*o**3 - 23505*o**2 + 3
What is the third derivative of -22521800*o**4 - 48*o**2 - 172106*o?
-540523200*o
Find the third derivative of -4139088*p**3 + 7*p**2 - 3*p - 2307 wrt p.
-24834528
What is the third derivative of -1357*k**3*w**2 - 5*k**3*w - 261*k**3 - 1064120*k**2*w**2 + 74*k**2 wrt k?
-8142*w**2 - 30*w - 1566
Differentiate 1646*l**2*o - 847*l**2 - 16*l*o - 158237447*o with respect to l.
3292*l*o - 1694*l - 16*o
What is the first derivative of -1052*b**2*z**3 + 3*b**2 + 2722*b*z + 30562*z**3 - 2*z**2 + 58 wrt b?
-2104*b*z**3 + 6*b + 2722*z
Find the first derivative of -880692205*v**4 - 48701948 wrt v.
-3522768820*v**3
Differentiate 263534581*t**2 - 401419877 with respect to t.
527069162*t
What is the second derivative of 3*g**4*n**2 + 850726*g**4 - g*n**2 - 10330*g*n - 5*g wrt g?
36*g**2*n**2 + 10208712*g**2
What is the third derivative of -6701618*d**6 + 3501134*d**2 wrt d?
-804194160*d**3
Find the second derivative of 3261366*m**4 + 7*m**3*w + m*w - 3370896 wrt m.
39136392*m**2 + 42*m*w
What is the second derivative of 17*a**2*m**5 + 1078239*a**2*m**2 + 29013*a**2*m + 2*a**2 + 11*a*m - 1 wrt m?
340*a**2*m**3 + 2156478*a**2
What is the third derivative of 849*q**6 - 16*q**5 + 698*q**3 - 1219*q**2 - 33*q - 14?
101880*q**3 - 960*q**2 + 4188
What is the third derivative of 26773*d**2*k**3*m**2 + 38*d**2*k**2*m**2 + 4*d*k**3*m**3 + d*k**2*m**2 - 11*k**2*m**3 + 55*m**2 wrt k?
160638*d**2*m**2 + 24*d*m**3
Find the third derivative of -20086*a*f**2*j**3*m - 3*a*f*j*m - 4*a*j**2 - 26*a*j - 15*f**2*m - 101*f*j**3*m wrt j.
-120516*a*f**2*m - 606*f*m
Find the first derivative of 166957833*s + 31307663 wrt s.
166957833
What is the third derivative of -152608294*s**4 + 10514778*s**2 wrt s?
-3662599056*s
Find the second derivative of 57781505*o**5 + 83049880*o wrt o.
1155630100*o**3
What is the second derivative of -566412*f**2 - 223*f + 1240 wrt f?
-1132824
Find the third derivative of 296300226*n**5 - 203*n**2 + 10678*n - 2 wrt n.
17778013560*n**2
What is the first derivative of 3480103*f - 12982011?
3480103
Find the second derivative of -63387767*r**2 - 566075513*r wrt r.
-126775534
Find the third derivative of -811129607*p**3 - 500128229*p**2 wrt p.
-4866777642
Differentiate -149505848*k**3 - 198196365 wrt k.
-448517544*k**2
Find the first derivative of 7708441*a**3 + 8291264 wrt a.
23125323*a**2
Find the second derivative of 707359879*k**2 - 14576903*k - 24.
1414719758
Find the third derivative of -11*o*r**4 + 82029*o*r**3 + 24*o*r**2*u + 4*o*r**2 + 2*o*r + 7788*o*u - 2*r**4*u wrt r.
-264*o*r + 492174*o - 48*r*u
Find the third derivative of 105131738*y**6 - 3*y**2 - 109370*y - 2.
12615808560*y**3
What is the second derivative of -37*f*l**2 - 31905029*f*l + l**3 + 7338*l**2 wrt l?
-74*f + 6*l + 14676
What is the second derivative of -14787*k**5*w - 11831*k**2*w + 230228888*k*w wrt k?
-295740*k**3*w - 23662*w
What is the third derivative of 9414614*o**5 + 4680*o**2 - 1301*o?
564876840*o**2
Find the second derivative of -177418076*q**2*y**2 + 9217*q**2*y + 58657*y wrt y.
-354836152*q**2
What is the derivative of 17381915*t**4 - 13927177 wrt t?
69527660*t**3
Find the third derivative of 83158652*v**4 - 3*v**3 + 697445199*v**2.
1995807648*v - 18
Differentiate 148993891*t*z + 12827446*t with respect to z.
148993891*t
Differentiate 378204726*x + 404798776 with respect to x.
378204726
What is the second derivative of 49*q**2*w**2*z - 33069*q**2*w**2 - 2*q**2*w - 17*q*w**2 + 2*q*w*z + 3*q*z - 3*q + 2*w**2*z - z - 98 wrt q?
98*w**2*z - 66138*w**2 - 4*w
Find the second derivative of 160608041*c**2*d**4 - 44384*c**2*d + c**2 + 2*d**4 - 333*d wrt d.
1927296492*c**2*d**2 + 24*d**2
What is the first derivative of -13124341*b**4 - 2*b**2 + 2337352 wrt b?
-52497364*b**3 - 4*b
What is the second derivative of 98995*h**3*q + 3*h**3 - 2*h**2*q - 19*h**2 - 7*h*q + 22*h + q + 1037 wrt h?
593970*h*q + 18*h - 4*q - 38
What is the third derivative of -16742*c**6 - 60*c**4 - 169*c**2 + 6818*c - 2?
-2009040*c**3 - 1440*c
What is the first derivative of 3*j*u**2*w + 524508*j*u*w**2 - 236078*u**2*w**2 + 9*u*w**2 - w**2 wrt j?
3*u**2*w + 524508*u*w**2
Find the first derivative of 41631*h**2 - 97*h - 2155460.
83262*h - 97
What is the second derivative of 53*f**4 - 2*f**3 + 14438*f**2 + 16314626*f wrt f?
636*f**2 - 12*f + 28876
What is the third derivative of -438*l**6 - 44227*l**5 - l**2 + 13101397*l?
-52560*l**3 - 2653620*l**2
What is the second derivative of -76*c*h**2*w - 11484*c*h**2 + 5*c*w + c + 39*h**2*w - 43*h*w + 2*h - 19311*w wrt h?
-152*c*w - 22968*c + 78*w
Find the first derivative of 98985*r*s + 137*r + 55009489*s wrt r.
98985*s + 137
Find the third derivative of -741*k**4 - 3803*k**3 + 9998999*k**2.
-17784*k - 22818
Find the first derivative of -5*u**4 + 3060914*u**2 - 27379360 wrt u.
-20*u**3 + 6121828*u
Find the third derivative of 9545265*h**3*n**3 - 13*h**2*n**3 - 739*h**2*n + n**3 - 10 wrt h.
57271590*n**3
Find the second derivative of -19490994*i**5 - 2299*i + 532.
-389819880*i**3
What is the third derivative of -12637998*x**3 - 127612860*x**2?
-75827988
Find the third derivative of -26*o*z**4 + 24*o*z**3 + 13178*o - 2*z**4 - 69*z**3 + 135*z**2 wrt z.
-624*o*z + 144*o - 48*z - 414
Find the third derivative of 59439*a*k*q**3 + 2*a*k*q + 1721*a*q**3 + 4*a*q**2 + 24*a - k - 18563*q**2 + 3 wrt q.
356634*a*k + 10326*a
Differentiate i**2*o**2 - 211*i**2*o + 9480*i**2 + i*o + 1796*i + 2319*o + 1 wrt o.
2*i**2*o - 211*i**2 + i + 2319
What is the third derivative of -228458333*a**4 - 105613134*a**2?
-5482999992*a
Differentiate -2*m*r**3 - m*r + 11279517*m + 425344*r**2 wrt r.
-6*m*r**2 - m + 850688*r
What is the third derivative of -2123569*q**4 + 42685393*q**2 wrt q?
-50965656*q
Find the third derivative of -170603*v**3*x**3*y**3 - 207*v**3*x**3 + 2*v**2*x**3*y**3 + 14*v**2*x**2*y - 1890*v**2*y**3 - 64*x**3*y**2 - 2*x*y**3 wrt v.
-1023618*x**3*y**3 - 1242*x**3
What is the first derivative of -957996*g**3*z**3 + 9*g**3*z**2 + 23048667*g**3 wrt z?
-2873988*g**3*z**2 + 18*g**3*z
What is the second derivative of -26587143*i**3 - i**2 - 77908574*i?
-159522858*i - 2
What is the third derivative of 300687*y**6 - 138*y**4 - 2*y**3 + 11124*y**2 - 823*y - 7?
36082440*y**3 - 3312*y - 12
Find the second derivative of 34*h**4 - 31214*h**3 + 18*h**2 - 67151912*h wrt h.
408*h**2 - 187284*h + 36
What is the second derivative of 8873094*x**5 + x - 37604 wrt x?
177461880*x**3
Differentiate 2331*r**3 - 568*r**2 - r + 21568707 wrt r.
6993*r**2 - 1136*r - 1
What is the third derivative of 103*n**6 + 63935*n**5 - 4*n**3 + 14*n**2 + 2252*n + 1157?
12360*n**3 + 3836100*n**2 - 24
Find the second derivative of -637*m**2*q**5 - m**2*q - 10647*m**2 - 2*m*q - 9910*q**5 + 4 wrt q.
-12740*m**2*q**3 - 198200*q**3
Find the third derivative of -179973*q**3*y**4 - 2569*q**3 + 88*q**2*y**2 + q*y**2 - 35*y**6 wrt y.
-4319352*q**3*y - 4200*y**3
What is the third derivative of -61188233*s**4 - 183*s**2 - 2*s - 22307?
-1468517592*s
What is the third derivative of -189824380*y**3 + 146608301*y**2 wrt y?
-1138946280
What is the derivative of -19*n**3 + 26470*n**2 + 18*n - 170391300 wrt n?
-57*n**2 + 52940*n + 18
Find the second derivative of -353164654*z**2 - 48779395*z.
-706329308
Differentiate 840*g**2*n*t + 905*g**2*t**2 + g*t**3 - 2*g*t**2 - n*t**3 + 207*n - 760*t**3 with respect to n.
840*g**2*t - t**3 + 207
Find the second derivative of -182777938*j**2*t**2 + 2*j**2*t + 8*j**2 - 200724*j*t + 2*j - 2 wrt t.
-365555876*j**2
Find the second derivative of 91698467*x**3 - 528487*x - 91 wrt x.
550190802*x
Find the second derivative of -4*k**2*z**3 - 1278*k**2 + 10761286*k*z**5 - 5*k + 3550*z wrt z.
-24*k**2*z + 215225720*k*z**3
Find the first derivative of 887*w**4 - 7*w**3 + 11*w**2 + 6*w - 252363665.
3548*w**3 - 21*w**2 + 22*w + 6
What is the third derivative of -32374354*a**4 - 39264*a**2 + 80 wrt a?
-776984496*a
Differentiate -1506*g*r*w - 276*g*r + 4*g*w - 2123*g - 545*r*w - 3*r - w wrt w.
-1506*g*r + 4*g - 545*r - 1
Find the second derivative of -29*r**4 + 148*r**3 + 526*r**2 + 34785120*r - 2.
-348*r**2 + 888*r + 1052
Find the first de | {
"pile_set_name": "DM Mathematics"
} |
sor of j and r?
7
Suppose -5*d + 34 = -3*f - 163, 0 = 2*d + 5*f - 85. Calculate the greatest common factor of d and 120.
40
Let z = -981 - -1165. What is the greatest common factor of z and 230?
46
Let d be (4/(-10))/(((-35)/(-75))/(-7)). Let z = 7 + -2. Suppose -2*q + z + 1 = 0. Calculate the greatest common factor of d and q.
3
Suppose -3*g = p + 6, -4*g - g = 3*p + 2. Let o = 5172 + -5070. Calculate the highest common factor of p and o.
6
Suppose -4*a - a = 0, 2*a - 20 = -5*m. Let o be (-1)/(2/m*-2). Calculate the greatest common factor of o and 5.
1
Suppose -3*r = 2*r - 155. Let y = 38 - r. Let i be 107/3 + 8/(-12). Calculate the highest common divisor of i and y.
7
Let c(g) = 2*g**2 - g - 15. Let z be c(5). Let n = 42 + z. Let i = 16 - 7. What is the greatest common divisor of n and i?
9
Let r be -5 + 1 - (-10 + 5). Suppose 5 = 3*j - r. Calculate the highest common factor of j and 16.
2
Let l be 387 + 1 + (5 - 3). What is the highest common divisor of 156 and l?
78
Let q(k) = -1224*k**3 - k**2 + k + 2. Let o be q(-1). What is the greatest common divisor of 72 and o?
72
Let m(b) = b**3 - 7*b**2 - 12*b - 18. Let q be m(9). What is the greatest common factor of 324 and q?
36
Let s(t) = -138*t - 8. Let a be s(-3). Calculate the highest common factor of a and 14.
14
Let j = 369 - 315. Calculate the greatest common factor of j and 702.
54
Suppose -2*b + 8 = -g + 3*g, 2*b + 4 = g. Suppose 2*p - 135 = -3*r, -3*r + g*r - 5 = 0. Calculate the greatest common factor of p and 36.
12
Suppose 2*g + 415 = 5*j - 38, 3*g = -j + 94. What is the greatest common divisor of 247 and j?
13
Suppose m - 6 = -3. Suppose 8*w - m*w - a = 139, 0 = 2*w + 4*a - 38. Calculate the greatest common divisor of w and 3.
3
Suppose -2*i = z - 40 - 14, z - 74 = 2*i. Suppose -s + z = -44. What is the greatest common factor of 27 and s?
27
Let v(b) be the second derivative of b**4/12 + b**3/6 - 19*b**2/2 + 2*b. Let u be v(6). Let z = 32 - u. What is the highest common divisor of 3 and z?
3
Let o(a) = 2*a**3 - 5*a**2 - a + 8. Let j be o(2). Let y be 0 + 0 - (-14 + -2). What is the highest common divisor of j and y?
2
Suppose -6*g = -1357 - 605. What is the greatest common factor of 3 and g?
3
Suppose 0 = 3*z + o - 1172, -z - o - 4*o = -400. What is the highest common factor of z and 312?
78
Let b = 754 + -748. Let m = -1 - -4. Calculate the greatest common factor of m and b.
3
Let x = 58 + -25. Calculate the highest common divisor of 22 and x.
11
Let w(z) = 3*z**2 + 15*z - 8. Let a be w(-6). What is the greatest common factor of a and 2810?
10
Suppose 3*w = 4*l + 21, 4*w - 3*w + l = 0. Suppose 0 = -0*g + w*g - 81. Suppose -2*j + 71 = -g. Calculate the highest common factor of 7 and j.
7
Let z be (44/(-3))/((-28)/1050). Calculate the greatest common factor of 50 and z.
50
Suppose 0 = 97*a - 82*a - 585. Calculate the highest common factor of 13 and a.
13
Suppose 3*s - 2*f = 1772, 5*s + 10*f = 9*f + 2936. Calculate the greatest common factor of 336 and s.
84
Suppose k + 2*n - 24 = -0, -168 = -5*k + 2*n. Let f be (-190)/(-6) + k/24. Calculate the highest common divisor of f and 11.
11
Suppose 116 = 3*s - a, 3*s + 5*a = 5*s - 99. What is the highest common factor of s and 111?
37
Suppose 9*y = 9183 + 11328. What is the greatest common divisor of y and 53?
53
Let a(h) be the second derivative of -h**5/10 - h**4/2 - 3*h**3/2 - 7*h**2/2 + 29*h. Let l be a(-3). Calculate the greatest common divisor of 160 and l.
20
Let y be (121/44)/((-2)/(-40)). Let d = -73 - -95. Calculate the greatest common factor of y and d.
11
Let t = -2 + 10. Suppose t*q = 5*q - 198. Let s = 92 + q. Calculate the highest common divisor of 156 and s.
26
Suppose 5*v - 119 = 156. Let m(l) be the third derivative of -l**6/120 + l**5/15 + l**3/3 - l**2. Let i be m(3). What is the highest common factor of i and v?
11
Suppose -25 + 327 = 3*b - 2*d, 5*b + 3*d = 516. Calculate the greatest common factor of b and 6.
6
Let q = 131 - 201. Let b be q/(-1) + (7 - 8). What is the greatest common divisor of b and 46?
23
Suppose 6*o = -o - 28. Let f be (15*(-7 + 6))/(1/o). Calculate the greatest common factor of 100 and f.
20
Let g = 274 + -114. Let u = -71 - -111. Calculate the greatest common factor of g and u.
40
Suppose -74*a + 528 = -26*a. What is the greatest common factor of a and 209?
11
Let u = 127 + -120. Let t be ((-168)/(-48))/((-1)/(-54)). What is the highest common factor of u and t?
7
Let t be (-2)/((-6)/(-15)) + 9. Let l(c) = c - 2. Let a be l(5). Suppose x - 3*j - 10 = 0, 7*j - 2*j = -a*x + 2. What is the highest common factor of x and t?
4
Let n(s) = -s**2 - s + 7. Let j be n(3). Let c(f) = -3*f + 9. Let u be c(j). Calculate the highest common divisor of u and 120.
24
Suppose 3*c - 2*r - 55 = 18, 4*c - 2*r - 98 = 0. Suppose -3*i + 1 + 14 = 0. Calculate the greatest common divisor of c and i.
5
Suppose 68 = 5*y + 3*n, -3*y + n + 48 = -4. Let i = 20 - y. Let g = i + 6. What is the highest common factor of 60 and g?
10
Suppose -93 = -3*i - 33. Suppose -3*j - 2*j = 3*n - 65, -2*j - 130 = -4*n. What is the greatest common factor of n and i?
10
Let z(m) = -m**3 - 7*m**2 - 5*m + 20. Let k be z(-7). Suppose 47 - k = -n. What is the highest common divisor of n and 4?
4
Let l(f) = -2*f**3 - 15*f**2 - 6*f - 4. Let c be l(-8). What is the highest common divisor of c and 198?
18
Let d be 4/(-10) - 185/(-25). Let o(q) = q**3 - q**2 - 7*q - 2. Let w be o(4). Suppose w - 333 = -5*b. Calculate the greatest common factor of b and d.
7
Let w(q) = q**3 - 48*q**2 + 179*q + 11. Let f be w(44). Calculate the greatest common factor of 22 and f.
11
Let c = -19 - -11. Let f = -6 - c. Suppose 4*h = -5*s + 9 + 37, 5*s = -f*h + 38. Calculate the highest common factor of 2 and s.
2
Let b be (-99)/(-6) - (-3)/(-6). Let t be (-6 - (-5 + 2)) + 3. Suppose t = -4*k + 1 + 15. Calculate the greatest common factor of b and k.
4
Suppose 224*j - 247*j = -1771. What is the greatest common factor of 55 and j?
11
Suppose -5*d - 5*v = -1355, -11*v + 14*v = d - 267. What is the highest common factor of 9 and d?
9
Let x be (-12)/(-18)*(0 + 3). Suppose 38 = x*u + 5*s - 52, -5*u - 4*s + 191 = 0. Calculate the greatest common factor of u and 14.
7
Let q = -245 + 925. Suppose 20 = -4*y, -5*y - 219 = 3*z - q. Suppose 2*d + 90 = 7*d. Calculate the highest common factor of z and d.
18
Let y be (18/8)/((-2)/(-144)). Suppose 0 = -27*i + 14*i + 234. What is the greatest common factor of y and i?
18
Let g be ((-152)/(-32))/(1/16). Let a(r) = 5*r**2 - 48*r + 18. Let s be a(10). What is the greatest common factor of s and g?
38
Suppose 29*d - 462 = 176. What is the greatest common divisor of d and 1507?
11
Let u(r) = -9*r - 89. Let v be u(-21). What is the highest common factor of v and 60?
20
Suppose -6790 = -10*w - 6560. Let z be 185/2 + (-1)/2. What is the highest common factor of w and z?
23
Suppose 6*n + 20 - 56 = 0. Suppose 4*t + 66 = -n. Let l = -6 - t. Calculate the highest common factor of l and 12.
12
Suppose 76 = 5*f - 164. Let p = -31 + 51. Suppose 0 = 3*x - 2*a - 2*a - 44, -x + 4*a + p = 0. Calculate the highest common divisor of x and f.
12
Suppose -15*z - 48 = -153. What is the greatest common factor of z and 91?
7
Suppose 5*p + 12 = 42. Let c be ((-20)/p - -2)/(2/(-60)). Calculate the greatest common divisor of c and 16.
8
Let d be (-1100)/(-15)*6/(-5)*-3. Suppose 3*z - 51 = d. Let u(y) = y**3 - 6*y**2 + 2*y + 3. Let o be u(6). What is the highest common divisor of z and o?
15
Let p(d) = -2*d - 8. Let u be p(-9). Let m = 265 - 169. Let i = -16 + m. What is the greatest common factor of i and u?
10
Let v(a) = 2*a**3 - 4*a**2 - 1. Let i be v(4). Suppose -23 = 2*z + 5*t - i, 2*t - 19 = -z. What is the greatest common divisor of z and 10?
5
Let x be 48/(-15)*((-315)/(-14))/(-3). Calculate the greatest common factor of x and 876.
12
Suppose 5*z = 7*z + 152. Let l = -1 - z. Calculate the greatest common divisor of l and 15.
15
Let d = 1 - -9. Let w = 8 - 4. Suppose -4*a + 4 = 0, -f + 107 = -w*a + 11. What is the highest common divisor of f and d?
10
Let m = -8 + 18. Let f = 2929 - 2799. Calculate the highest common factor of m and f.
10
Let y(f) = f**2 + 9*f - 64. Let m be y(-19). Let r be ((-12)/(-9))/(6/63). Calculate the highest common factor of r and m.
| {
"pile_set_name": "DM Mathematics"
} |
+ b**2 + 4658*b - 4222.
15586068*b + 2
Find the first derivative of -335*a*m**2 + 2*a*r + 1682*a - 81*m**2*r - 2*m*r - 79*r - 3 wrt m.
-670*a*m - 162*m*r - 2*r
Differentiate -3271*n**2*t**2 - 14533965*n**2 - 1396*t**4 wrt t.
-6542*n**2*t - 5584*t**3
Find the third derivative of 6*v**4 - 3057777*v**3 + 11*v**2 + 5*v + 14125.
144*v - 18346662
What is the third derivative of -165210720*b**3 + b**2 - 30*b - 1101521?
-991264320
What is the derivative of -616200*c*l*q + c*l + 7*c*q + 3*c - 20780*l - 5 wrt q?
-616200*c*l + 7*c
Find the second derivative of -13196609*l**5 + 1423*l + 13560.
-263932180*l**3
What is the third derivative of -7*m**5 - 2783438*m**3 + 1203*m**2 - 28*m + 7?
-420*m**2 - 16700628
Find the second derivative of -122*m**3*s**2*y**2 + 3*m**3*s*y - 12124*m**3*y**2 + 64*m**3 - 3*m*s*y**2 + 65528*s**2*y wrt s.
-244*m**3*y**2 + 131056*y
What is the second derivative of 2*x**5 + 551*x**3 + 595*x**2 + 5494214*x?
40*x**3 + 3306*x + 1190
What is the derivative of 4541104*d**2*f**4 + 9*d**2*f - 44839454*d**2 wrt f?
18164416*d**2*f**3 + 9*d**2
Find the second derivative of -h**3*i + 5*h**3 - 4093*h**2*i + 193*h**2 + 2*h*i - 3181*h - 30133*i wrt h.
-6*h*i + 30*h - 8186*i + 386
Find the first derivative of -39492010*h - 41023713 wrt h.
-39492010
What is the second derivative of -131429663*d**4 - 83334639*d?
-1577155956*d**2
What is the first derivative of -117686*q**2 - q + 131086500 wrt q?
-235372*q - 1
Find the first derivative of -463215*l**2 - 247*l + 692897540 wrt l.
-926430*l - 247
Find the third derivative of 194*v**4 - 20733*v**3 - 77987243*v**2 wrt v.
4656*v - 124398
What is the third derivative of 374*u**6 - 314*u**4 - 141*u**3 + 465037*u**2 + 3*u + 32 wrt u?
44880*u**3 - 7536*u - 846
What is the second derivative of 38721908*g**5 - 3*g**4 - g + 16621151?
774438160*g**3 - 36*g**2
What is the derivative of -106999011*j*s - 3621*j + 692 wrt s?
-106999011*j
Differentiate -2*k**2*s**2 - 60*k**2 + 1437*k*s**2 - 6*k*s - 189*k + 2*s - 44 wrt s.
-4*k**2*s + 2874*k*s - 6*k + 2
What is the second derivative of -120009*s**3*u**3 + s**3*u**2 + 14*s*u**3 + 458*s*u - 3*s + 4*u wrt s?
-720054*s*u**3 + 6*s*u**2
Find the third derivative of -1726681*m**3 - 528907*m**2 wrt m.
-10360086
Find the third derivative of 5608385*u**5 - 11*u**3 - 43265722*u**2.
336503100*u**2 - 66
Find the third derivative of -7*v**4*z - 40208*v**4 - v**3*z + 162042*v**2*z - 2*v*z wrt v.
-168*v*z - 964992*v - 6*z
What is the third derivative of -8636063*h**3 + 2*h**2 - 12586*h - 91?
-51816378
What is the second derivative of 1549543*c**2 - 311*c - 1631?
3099086
Find the second derivative of -18490*c**3*g**3 - 2*c**3*g - c**3 - 5*c**2*g + 3*c*g + 129*g**3 - g + 15148 wrt g.
-110940*c**3*g + 774*g
Differentiate -16295*x**3 - 40*x + 20166620.
-48885*x**2 - 40
What is the third derivative of -14674793*a**3*x + 399*a**2*x + 37424*a**2 wrt a?
-88048758*x
What is the third derivative of 1448*j**3*q**3*u**3 - 470*j**3*q**3*u + 3*j**3*q**2*u - j**3*u**3 + 43262*j**2*q**2*u**2 - j*u**3 wrt q?
8688*j**3*u**3 - 2820*j**3*u
Find the third derivative of 7231212*q**5 + 60*q**2 + 53028.
433872720*q**2
Find the second derivative of 1438*p**4 + 5954*p**2 - 289594*p - 17.
17256*p**2 + 11908
What is the first derivative of -115430347*n**4 + 10904095 wrt n?
-461721388*n**3
Find the second derivative of 3*z**4 - 21549*z**3 - z**2 - 29*z + 44870.
36*z**2 - 129294*z - 2
Find the third derivative of 6470612*r**3*v + r**2*v + 348*r**2 - 2505 wrt r.
38823672*v
What is the second derivative of 2*u**5 - 59146029*u**4 + 488919632*u?
40*u**3 - 709752348*u**2
What is the first derivative of 6389*f**4 + 13*f**3 - f**2 - 2*f - 7265263 wrt f?
25556*f**3 + 39*f**2 - 2*f - 2
What is the derivative of -5*m**2 + 1995918*m - 23349460?
-10*m + 1995918
Find the second derivative of -4*g**5 + 6*g**4 + 689064*g**3 + 97323966*g wrt g.
-80*g**3 + 72*g**2 + 4134384*g
What is the derivative of -99*g**3*w**2 - 551959*g*w**3 - 3*w**3 - 33829*w**2 + 51*w - 1 wrt g?
-297*g**2*w**2 - 551959*w**3
What is the second derivative of 65960*m**2*r**2 - 6*m**2*r - 2*m**2 + 10*m*r + 86*m + 774*r**2 + 17*r wrt r?
131920*m**2 + 1548
Differentiate 4509*g**2*t*u - g*t*u - 966*g*u**2 - 107*t*u**2 + 639*u**2 + 21 with respect to g.
9018*g*t*u - t*u - 966*u**2
Find the second derivative of -53779*u*w**4 - 197*u*w**2 - u - 59056984*w wrt w.
-645348*u*w**2 - 394*u
Differentiate 2*v**4 + 103951*v**3 - 54*v + 221315002 with respect to v.
8*v**3 + 311853*v**2 - 54
What is the third derivative of -128*g*l**3 + g*l**2 + g*l + 94072*l**3 - 1461*l**2 - 28 wrt l?
-768*g + 564432
What is the second derivative of 1080*k**3*n**2*z**2 + 2884*k**2*n**3 - k*n**3*z**2 + 3*k*n*z**2 + 2*k*z**2 + 13*n**3*z + 2*n**3 + 73*n*z**2 wrt k?
6480*k*n**2*z**2 + 5768*n**3
Differentiate 486*f**4 + f**3 - 4*f**2 + 88*f + 1909622 with respect to f.
1944*f**3 + 3*f**2 - 8*f + 88
What is the second derivative of 112625787*v**2 + 69156827*v + 2?
225251574
What is the second derivative of 188390411*y**4 + 5272981*y - 3 wrt y?
2260684932*y**2
Find the first derivative of -42632*d**3 - 6*d**2 - 3022408.
-127896*d**2 - 12*d
Find the second derivative of -4144430*s**2 + 8688031*s wrt s.
-8288860
What is the third derivative of 4980458*r**6 - 7042119*r**2?
597654960*r**3
Differentiate -2*d**3*n - 2*d**3 + 11*d**2*n + 19*d**2 - 6977*d*n + 4057*d - 4*n + 1 with respect to n.
-2*d**3 + 11*d**2 - 6977*d - 4
Find the second derivative of -2*c**3*g - 107*c**3 - 35487*c**2*g**2 + c*g**2 + 9*c*g - 13*c - 155*g**2 - 13*g wrt c.
-12*c*g - 642*c - 70974*g**2
What is the third derivative of 59231976*n**3 + 3206*n**2 - 14704*n wrt n?
355391856
What is the first derivative of 7167810*f**4 - 6*f**3*i - f*i + 1241243571*i wrt f?
28671240*f**3 - 18*f**2*i - i
Differentiate 6613860*z**2 - 4801356 with respect to z.
13227720*z
What is the derivative of 169*i**4 - 2*i*z + 1269*i - 7380121*z wrt i?
676*i**3 - 2*z + 1269
What is the derivative of 4*j*s - 10157*j + 143*s**2*z**3 + 51088*s**2 - 2*z**3 + z + 11 wrt s?
4*j + 286*s*z**3 + 102176*s
Find the third derivative of -4508*i*n**5 - 56*i*n**3 + 29*i*n**2 - 12702*i*n - n**2 - 2 wrt n.
-270480*i*n**2 - 336*i
What is the second derivative of 3*a**3*p**2 + 732*a**3 - 374*a*p - 493836*p**5 + 40 wrt p?
6*a**3 - 9876720*p**3
What is the second derivative of 26903490*w**3 + 153*w - 130182 wrt w?
161420940*w
What is the third derivative of -753748004*h*i**4 + h*i**3 + 27980*h*i**2 + 6107*h wrt i?
-18089952096*h*i + 6*h
What is the third derivative of -1403*o**5 + 460*o**4 - o**3 + 40*o**2 - 44344 wrt o?
-84180*o**2 + 11040*o - 6
Find the second derivative of 5489091*c**4 - c + 1335175.
65869092*c**2
Differentiate -36961596*q - 15446513 with respect to q.
-36961596
What is the third derivative of 28*j**2*v**3 + 2*j**2*v**2 + j**2*v + 2*j + 145463*v**3 + 1908*v**2 + 435 wrt v?
168*j**2 + 872778
What is the first derivative of 6528078*p**2 + 2241908 wrt p?
13056156*p
What is the second derivative of 75689*r**4 - 203*r**2 + 7795628*r?
908268*r**2 - 406
Differentiate 971*a*f**3 + 2*a*f**2 + 363*a - 605868*f**3 - 3 wrt a.
971*f**3 + 2*f**2 + 363
What is the derivative of 11*g**3 - 940*g**2 + 294*g + 24131237 wrt g?
33*g**2 - 1880*g + 294
What is the second derivative of -27*b*w**3 + 2*b*w**2 + b*w + 2*b + 941*w**3 + 25*w**2 + 981238 wrt w?
-162*b*w + 4*b + 5646*w + 50
Find the first derivative of -7*r**2 + 351526*r - 2490014 wrt r.
-14*r + 351526
Find the first derivative of -8854393*j**2 - 6552673 wrt j.
-17708786*j
Find the first derivative of 6071400*q + 2507780 wrt q.
6071400
Differentiate -131197564*q*v**3 - 2424*v**3 + 3656*v**2 - v with respect to q.
-131197564*v**3
What is the second derivative of 175587484*l**2 + 74000626*l?
351174968
What is the first derivative of 232*w**2 + 5833*w + 6274856 wrt w?
464*w + 5833
What is the derivative of 30193196*p**2 - 12516975 wrt p?
60386392*p
Differentiate -404817353*f + 353585018 wrt f.
-404817353
Find the first derivative of -88561*b*c*f**2*q - b*c*f**2 + 62*c*q - f**2*q + 14276*f*q wrt b.
-88561*c*f**2*q - c*f**2
Find the first derivative of 105486066*h**2*n**3 - 67747966*h**2 wrt n.
316458198*h**2*n**2
What is the third derivative of 103*r**5 - 59780*r**4 + 317*r**2 - 7214*r wrt r?
6180*r**2 - 1434720*r
Differe | {
"pile_set_name": "DM Mathematics"
} |
j + 74556*g**2*j - 1528*h**2*j - h*j + h + 24*j - 60 wrt g.
102*g*h**2*j + 149112*g*j
Differentiate 20030*d**2*m**3 - 32*d*m**2 + 12009*m**3 - 3*m + 5 wrt d.
40060*d*m**3 - 32*m**2
What is the second derivative of 8370223*c**5 - 222*c - 15376 wrt c?
167404460*c**3
What is the third derivative of 42*x**3*y - 6569102*x**3 - 1082079*x**2*y + 243*x*y wrt x?
252*y - 39414612
What is the first derivative of -20149232*z + 9989706 wrt z?
-20149232
What is the derivative of 7*g*i**2 + 24*g*i + 15993*g - 12*i**2 + 2934*i - 53 wrt g?
7*i**2 + 24*i + 15993
What is the first derivative of 1221884*r + 5440371 wrt r?
1221884
What is the first derivative of -91*n**2 + 357717*n + 130599669 wrt n?
-182*n + 357717
What is the third derivative of 3033*a**4*g + 2*a**4 + 265*a**3*g + 2*a**2*g + 7*a**2 - 191*a*g + 13*a + 1 wrt a?
72792*a*g + 48*a + 1590*g
Differentiate -141*v**3 - 1169*v**2 - 5*v - 69617158.
-423*v**2 - 2338*v - 5
Find the third derivative of -1557483*a*b*m**3 - a*b*m**2 - 84*a*b*m - 32*a*m**3 - 4*a*m**2 - 2946*a*m + 2*m**3 wrt m.
-9344898*a*b - 192*a + 12
Differentiate 4*x**3 - 1376759*x - 18524283 wrt x.
12*x**2 - 1376759
What is the third derivative of -206198*m**6*u + 3*m**3*u - 134294*m**2*u - 2*m**2 - 10*m*u wrt m?
-24743760*m**3*u + 18*u
What is the second derivative of -14005*w**4 + 1978*w**3 - 14*w - 1238891 wrt w?
-168060*w**2 + 11868*w
Find the second derivative of -587462981*u**3 + 13817147*u - 3.
-3524777886*u
Differentiate 132619615*v + 259841351 wrt v.
132619615
Find the third derivative of -6*d**2*j**3*w - 3731018*d**2*j**3 + 11*d**2*j**2*w + 8*d**2*j**2 + 2*d**2*j*w - 32*d**2*w + 577*d*j - j**2 wrt j.
-36*d**2*w - 22386108*d**2
Differentiate -p**4 - 47521646*p**3 + 91518935 wrt p.
-4*p**3 - 142564938*p**2
What is the third derivative of -2214*p**4 - 5584*p**3 - 2*p**2 - 3480648 wrt p?
-53136*p - 33504
What is the derivative of 2*b**3*z**2 - b**3*z - 1902*b**3 - 109*b**2 - 2*b - 77*z**2 - 9162*z wrt z?
4*b**3*z - b**3 - 154*z - 9162
Find the third derivative of -599315218*f**4 - 3831556*f**2 - 9.
-14383565232*f
What is the third derivative of -75199319*g**3 + 384213531*g**2?
-451195914
Find the third derivative of 2559*c*s**4 - 4*c*s**3 + 10*c*s**2 - 82*s**4 - s**3 + 17*s**2 - 223 wrt s.
61416*c*s - 24*c - 1968*s - 6
What is the second derivative of 305867613*v*y**2 + 4560*v*y + 2*v + 11*y - 18 wrt y?
611735226*v
Differentiate -2697308*n*p + 2342998*n + 5*p**3 with respect to p.
-2697308*n + 15*p**2
Differentiate 5*a**3*m + 2368572*a**3 + 12095168*m wrt a.
15*a**2*m + 7105716*a**2
Find the first derivative of 126*c**4*p - 285676*c**4 - 60*p - 225884 wrt c.
504*c**3*p - 1142704*c**3
What is the third derivative of -215381444*y**5 - 13*y**2 - 13619*y + 53 wrt y?
-12922886640*y**2
Find the third derivative of 78689*t**5 - 224*t**4 - t**3 - 469187*t**2 - 23.
4721340*t**2 - 5376*t - 6
Find the second derivative of 72993*q*w**3 + 6849*q*w + 650*q + 7*w**3 + 8*w**2 wrt w.
437958*q*w + 42*w + 16
What is the derivative of -38801913*b*q - 49*b + 100742 wrt q?
-38801913*b
What is the derivative of 359565307*h**4*p**3 + 2*h*p**3 - 536*p**3 + 31552*p**2 - p wrt h?
1438261228*h**3*p**3 + 2*p**3
What is the first derivative of -39340167*d*h + 62607884*d wrt h?
-39340167*d
Differentiate -3320*a**2*f*p + a**2*p - 2*a**2 + 8718*a*f + 46*a*p + 53*a with respect to p.
-3320*a**2*f + a**2 + 46*a
Differentiate -6500*t**3*v**3 + 505*t**2*v**3 - v**3 - 1324*v**2 + v + 286 wrt t.
-19500*t**2*v**3 + 1010*t*v**3
What is the derivative of -824773136*s + 5843354?
-824773136
What is the third derivative of -i**5 + 7*i**4 - 89256*i**3 - i**2 + i - 194539?
-60*i**2 + 168*i - 535536
Differentiate -3*d**2 - 20141858*d + 427287352.
-6*d - 20141858
Differentiate 4*f**3*y - 417590011*f**3 - 508303*f**2*y + f*y - 5*y with respect to y.
4*f**3 - 508303*f**2 + f - 5
What is the third derivative of -66518753*a**2*j**3*l + 46*a**2*j**2*l + a**2*j**2*p + 3*a**2*j*l*p - a**2*l*p + 2*a**2 + a*j*l*p + 3*j**3*p + 671*l*p wrt j?
-399112518*a**2*l + 18*p
Find the second derivative of 10629*l**2*z - 5155*l**2 - 410*l - 92375*z wrt l.
21258*z - 10310
What is the second derivative of -21*j**5 - 12*j**4 + 16141*j**2 - 197868283*j wrt j?
-420*j**3 - 144*j**2 + 32282
What is the second derivative of -126578926*m**2 - 143687794*m - 1?
-253157852
Differentiate 468666143*r**4 + 107238957 with respect to r.
1874664572*r**3
What is the third derivative of -126216*d**3*n - 167*d**3 + 5788*d**2*n - 5203*n wrt d?
-757296*n - 1002
What is the second derivative of 44*f**3*t**2 + 29*f**3*t + 2*f**2*t - 3*f**2 - 10*f*t**3 - 84*f - 5*t**3 + 131*t**2 + 11*t wrt t?
88*f**3 - 60*f*t - 30*t + 262
Differentiate -758*g**3 + g**2 + 740*g - 4574087 wrt g.
-2274*g**2 + 2*g + 740
What is the second derivative of 22957854*h*r**2 + h*r - 15631971*h wrt r?
45915708*h
What is the third derivative of -11*a**2*s**3 - 9*a**2*s**2 + 81905*a*s**3 - 18*s**3 - 1970551*s wrt s?
-66*a**2 + 491430*a - 108
Find the third derivative of -38*d**5 + 16502*d**3 - 41637*d**2 + 41 wrt d.
-2280*d**2 + 99012
What is the second derivative of 8169*d**2*q**2 - 154*d**2 + 418*q**3 + 11034*q wrt q?
16338*d**2 + 2508*q
What is the second derivative of 5409972*c**2*k - 2*c**2 + 34*c*k - 87*k - 1047 wrt c?
10819944*k - 4
What is the second derivative of 41*f*q**2*z**2 + 13*f*q**2 - f*q - 83*q**2 - 6*q*z**2 - 140174*z**2 wrt q?
82*f*z**2 + 26*f - 166
What is the second derivative of -184399966*k**2 + 123017977*k?
-368799932
What is the third derivative of -380546228*p**6 - 9490608*p**2 + 2 wrt p?
-45665547360*p**3
What is the third derivative of -15631476*j**3*z**6 - j**3 + 2172*j*z**2 - 2*z**2 + 74*z wrt z?
-1875777120*j**3*z**3
Find the first derivative of i**3*p - i**2*p - 34720*i**2 + i*p + 1339004*p wrt i.
3*i**2*p - 2*i*p - 69440*i + p
What is the third derivative of -4399*h**6 - 220*h**4 - h**3 + 5675*h**2 - 10*h - 272?
-527880*h**3 - 5280*h - 6
Find the second derivative of 24920220*y**2 - 11110956*y.
49840440
Find the first derivative of -12*d*q**2*t - 1402464*d*t + 15743232*q**2*t + 13*q*t wrt d.
-12*q**2*t - 1402464*t
Find the first derivative of 2637*b**4*f**2 - 22791*b*f**3 + 3085872*f**3 + 9*f**2 wrt b.
10548*b**3*f**2 - 22791*f**3
What is the first derivative of 14*r**4 + 605*r**2 + 432*r - 150167282 wrt r?
56*r**3 + 1210*r + 432
Find the second derivative of 34096205*t**2 - 28*t - 471889 wrt t.
68192410
What is the second derivative of -66*g**4 - 51424*g**2 + 22*g + 1508293?
-792*g**2 - 102848
What is the third derivative of 4536*a**2*b*k**2*t**3 - 6*a**2*k*t**2 - 6*a**2*k + 1617*a**2*t**3 + 4*a*b*k*t + a*k**2*t - 4*k + 21*t**2 wrt t?
27216*a**2*b*k**2 + 9702*a**2
What is the third derivative of 13*p**2*w**2*x - 89125*p**2*w*x**3 + 4*p*w**2 + 2*p*w*x**2 + 483*w**2*x**4 - 85712*w**2 wrt x?
-534750*p**2*w + 11592*w**2*x
Find the first derivative of -56426459*k*l**2 - 358280731*l**2 wrt k.
-56426459*l**2
What is the derivative of 511*o**2*p*y + 3087*o**2*y - 2993*o**2 - 24024*p wrt p?
511*o**2*y - 24024
Find the second derivative of 61323266*l**2 + 77760401*l.
122646532
What is the third derivative of 73323396*p**3 + 84082055*p**2 wrt p?
439940376
Find the second derivative of 8580253*m*v**2 - 2389*m*v - 397*v wrt v.
17160506*m
Differentiate 8*h*o*r + 22*h*r - 2*h - 173083*o + 4*r + 343 wrt o.
8*h*r - 173083
Differentiate -4551699*z + 4827048 with respect to z.
-4551699
Find the third derivative of -1381885*o**6 - 45*o**4 + 795189913*o**2 wrt o.
-165826200*o**3 - 1080*o
Find the third derivative of -261107*q**3*r**3 + q**3*r**2 - q**3 + 2*q**2*r**3 - 4*q**2*r**2 - 42135*r**3 wrt q.
-1566642*r**3 + 6*r**2 - 6
What is the third derivative of -161*m*s**3 + 7*m*s**2 - 2*m - 12230*s**3 - 148489*s**2 wrt s?
-966*m - 73380
What is the second derivative of -864504233*h**2 + 891748*h - 42?
-1729008466
What is the third derivative of -228125*h**4 + 2216*h**2 - 185?
-5475000*h
Find the second derivative of -429*i**5 - 451079*i**3 - 1718357*i + 8 wrt i.
-8580*i**3 - 2706474*i
What is the second derivative of -184627521*x**2 + 18*x - 2378537?
-369255042
Find the first derivative of -5714677*w + 8383239.
-5714677
What is the derivative of 171862891*o*x**2 - 237137074*x**2 wrt o?
171862891*x**2
What is the second derivative of -18585692*u* | {
"pile_set_name": "DM Mathematics"
} |
h = 4*i + 5*h - 28. Is (-8)/i - -69 - -2 a composite number?
True
Let q = -291 + 241. Let l(f) = -100*f - 5. Let o be l(-5). Let n = o + q. Is n composite?
True
Let j = -43 - -116202. Is j prime?
True
Let a(m) = 786*m + 119. Is a(10) a composite number?
True
Let k(v) = -v - 12. Let s be k(-12). Suppose -p - 3*a = 3*p - 521, 3*p - 5*a - 369 = s. Let t = 181 - p. Is t prime?
True
Let o(j) = 4*j**2 + j - 1. Let m be o(2). Let l = 1 + m. Suppose t - 145 = l. Is t a prime number?
True
Let c(z) = z**3 - 8*z**2 + 10*z - 9. Let x be c(6). Let y = 23 + x. Is (-2)/(3*y/(-1227)) a composite number?
False
Suppose 0 = 27*b - 33*b + 17418. Is b a prime number?
True
Let g be -1318*(4/(-8) + 1). Is -7 + 3 - (g + 2) prime?
True
Let f = -407 + 652. Suppose f = 4*q - 5171. Suppose q = n + n. Is n composite?
False
Let f(a) = -a**3 + 9*a**2 + 12*a - 11. Let p(s) be the first derivative of -s**3/3 + 4*s**2 + 10*s + 1. Let x be p(8). Is f(x) composite?
True
Suppose -20*s = -17*s + 12. Let l(g) = -24*g - 7. Is l(s) a composite number?
False
Let y(x) = x**2. Let q(w) = -53*w**2 - 10*w + 2. Let m(v) = -q(v) + 4*y(v). Is m(3) a prime number?
True
Let z = 34456 - 22971. Suppose 2*i = 3*p + 821 + 6835, 3*i - z = 4*p. Is i a prime number?
False
Let n(s) = -s**3 - s**2 - s - 1. Let r be n(0). Let m be r - (-4 + (-1)/(-1)). Suppose -l - 4*l = -2*w + 431, -m*l = -4*w + 886. Is w composite?
False
Let d(x) = 26*x**2 - 70*x + 25. Is d(17) a prime number?
False
Let w(c) = 3*c - 1. Let s be w(-3). Let p be s/35 - 40/7. Let i(d) = 4*d**2 - d - 7. Is i(p) a prime number?
False
Suppose 4*z = -2886 - 2078. Let u = 2812 + z. Is u composite?
False
Suppose 5*k = -4 - 6. Is (k + 0)/(-8) - (-37075)/100 prime?
False
Is 24911425/(-550)*2*2/(-7) composite?
True
Suppose -4*t + 53 + 383 = 0. Is t prime?
True
Let w = -32 - -28. Let n = w - -257. Is n composite?
True
Let y = 54 + -50. Suppose -y*t = -576 - 292. Is t a prime number?
False
Let v be (4/6)/(3/(-81)). Suppose -5*n + 100 = d, 6*n - 3*n - 67 = -2*d. Let f = n - v. Is f prime?
True
Let m(s) = s + 1. Let n(k) = 162*k**2 - 3*k - 2. Let y(g) = m(g) + n(g). Let c be y(4). Suppose 0*h + c = 9*h. Is h composite?
True
Let s = -7776 + 14279. Is s prime?
False
Let q(g) = -4*g - 5*g**2 - 11 + 4*g**2 - 1 - 8*g. Is q(-7) composite?
False
Is 3/(-12) - (-991221)/132 a composite number?
True
Let n(r) = -20*r - 14. Is n(-6) a prime number?
False
Suppose 4*a - 4 = 0, 2*h = -5*a + a + 23376. Suppose 4*t = -8, 5*v - 2*v = 5*t + h. Is (v/6)/((-2)/(-3)) composite?
True
Let l(p) = p**3 - 9*p**2 - p + 12. Let g be l(9). Suppose -6*d + 4*d + 10 = -g*a, 3*d - a = 8. Suppose j = -d*j + 429. Is j composite?
True
Suppose 0*g = -3*g + 2376. Suppose -b + g = t - 2*b, t + b = 796. Is 0 + t + 1 + -4 a prime number?
False
Is 98678/(2 - 0/(-2)) composite?
False
Suppose 0 = 3*m - 354 - 360. Let w = 2074 + -1283. Let v = w - m. Is v composite?
True
Let i = 175 - 464. Let v = -199 - i. Let c = 269 + v. Is c a composite number?
False
Suppose 4 = -4*s, 4*x + 0 = -2*s + 2. Is x + 94 + 1 + -5 a composite number?
True
Let t(g) = -5*g**3 + 42*g**2 + 27*g - 71. Is t(-21) a composite number?
False
Suppose 24982 = 6*r - 92804. Is r a composite number?
True
Suppose 6*y = y + 5. Is ((-32499)/(-12) - y/4) + -3 composite?
True
Let r = -6 + 10. Suppose 2*b - b = x - 8, 3*x = r*b + 29. Suppose -3*o - x*y = 2*o - 521, -5*o + 5*y + 545 = 0. Is o composite?
True
Suppose 0 = 5*h + 144 - 34. Let y = 18 + h. Is (6/(-15))/(y/4220) a prime number?
False
Let d(t) = 74*t**3 + t**2 - 5*t + 1. Is d(6) prime?
True
Suppose 0 = g + 6*o - o - 15, 2*g - 3 = -o. Suppose -537 = -3*u - g*u. Is u a composite number?
False
Let b = 10 + -11. Let l(s) = 839*s**2. Is l(b) prime?
True
Let a be 1*-2*(-5055)/6. Suppose -8*p - a = -13*p. Is p a prime number?
True
Suppose 5*r - 34193 = -12*v + 8*v, -5*v + 13667 = 2*r. Is r composite?
False
Let t = 80 - 85. Is ((-1964)/(-12))/((t + 3)/(-30)) a prime number?
False
Suppose 9066 = 3*r - 2*a, -a = r - 3328 + 311. Suppose -k - r = -5*k. Let q = k - 198. Is q a composite number?
False
Let w(a) be the first derivative of 65*a - a**2 - 1/3*a**3 - 3. Is w(0) a prime number?
False
Let u(c) be the first derivative of 13*c**4/6 + c**3/6 + c**2 + 3*c - 3. Let j(v) be the first derivative of u(v). Is j(-3) a prime number?
True
Suppose -154 = 3*r - 1036. Suppose r = 3*l + 63. Is l composite?
True
Let t(u) = u**2 - 6*u - 3. Let c be t(5). Let a(w) = -68*w - 3. Is a(c) composite?
False
Is 4/(-14)*112/(-48)*38013 prime?
False
Let o be 10/(-6) - (-10)/15. Let g be 0 + -13 + 2 + o. Is 1*52 + g/(-4) prime?
False
Suppose -2*x + 5*x = -3, 4*k - 34 = 2*x. Suppose -4*q + k + 4 = 0. Let o(t) = 163*t - 2. Is o(q) composite?
False
Let v = -86 + 33. Let m be 1461/6 + 3/6. Let o = v + m. Is o prime?
True
Let g = 30645 - 10436. Is g a prime number?
False
Let q(k) = 11*k - 2. Let w(i) = 11*i - 1. Let c(u) = -3*q(u) + 2*w(u). Let z be c(13). Let f = z - -226. Is f a composite number?
True
Suppose -5*a + 32906 = -k, -4*k - 10 = -6. Is a prime?
True
Let t = 239 + -362. Suppose 348 = -2*u + 3*u. Let w = u - t. Is w composite?
True
Suppose -m - m = 18. Is 2/6 - 798/m composite?
False
Let d be (-135)/75*10/(-6). Suppose 5*x + 2*r = 36091, -7258 = -x + d*r - 33. Is x a composite number?
False
Suppose -2*g + 0*x = -4*x + 26, -4*g - 85 = 3*x. Let o = g + 24. Suppose q + o = 358. Is q a composite number?
False
Let c be 2/6*6/1. Suppose -2*x + 80 = 4*i, 2*i + 115 = 4*x + i. Suppose c*v - 20 = x. Is v prime?
False
Let f = -424 - -1670. Is ((-51)/34)/((-3)/f) prime?
False
Suppose 12*a - 60679 = -9283. Is a composite?
False
Let o = 23761 - 14174. Is o a prime number?
True
Let a be ((-1752)/(-9))/(4/6). Let t = a - 113. Is t a prime number?
True
Let o(k) = 4*k - 5. Let x be o(-3). Let f = 17 + x. Is (-1)/(-2)*(f + 1418) a composite number?
False
Suppose 0 = -2*i + 3*u + 45, 20 = 4*i + 4*u - 20. Is (-10)/(-15) + 2345/i composite?
False
Is (0 + -8)/(-8)*30293 a prime number?
True
Let x(q) be the second derivative of -3*q**5/10 - q**4/4 - q**3/3 + 2*q**2 - q. Suppose -5*s + 3*m - 19 = 8, 5*s + 19 = m. Is x(s) a prime number?
False
Suppose -29*j - 86513 = -546424. Is j prime?
True
Let m = 13 + -6. Suppose -m*b + 8 = 1. Is (3289/13)/(0 + b) prime?
False
Let m = 9 + -4. Suppose n - 3 = 0, -2*n - 9 = -m*d - 0*n. Is d a prime number?
True
Suppose 5 = -0*t + t. Suppose 0 = t*l + 5*k - 4315, 0 = -3*k - 10 - 2. Suppose -3*p = -j + 2*p + 278, -3*j + 4*p + l = 0. Is j composite?
False
Let u(j) be the first derivative of -2*j**3/3 - j**2/2 - 6*j - 6. Let m(o) = 2*o**2 + 2*o + 5. Let n(i) = 3*m(i) + 2*u(i). Is n(9) a prime number?
False
Suppose 27*d = 26*d + 2*y + 4345, 3*d = -2*y + 13067. Is d prime?
False
Let k(m) = -m**3 - 28*m**2 - 23*m + 37. Let c be k(-27). Suppose 0 = -2*u + 2*f - 222, -4*f - 580 + 52 = 5*u. Let j = c - u. Is j composite?
False
Suppose 4*d + y = 87837, 0 = -2*d + 2*y - 2339 + 46255. Is d composite?
True
Let c(k) = 2*k**3 - 7*k**2 - 25*k + 283. Is c(14) prime?
True
Let n(q) be the first derivative of 5*q**3/3 + 11*q**2/2 - 7*q - 121. Let h = 9 - 3. Is n(h) a prime number?
True
Let f(x) = 52*x - 71. Is f(10) prime?
True
Suppose -39*l = -36*l - 28581. Is l prime?
False
Let u be 7376/(-20) + 1/(-5). Let z = -189 + u. Let n = -271 - z. Is n a composite number?
True
Let s(j) = -22*j - 5. Let d = -13 + 11. Let c be s(d). Let y = 70 - c. Is y prime?
True
Let d(s) be the first derivative of -13 + 22 - 3*s + 55*s**2 - 12. Is d(8) a prime number?
True
Suppose -6*w + 3*w = -9. Suppose 0 = 3*o - 4*c + 30, 5*c + 70 = -w*o + 13. Let y = 60 + o. Is y prime?
False
Suppose 15 + 12 = 2*u - 3*o, -2*u = -5*o - 29. Is ((-18)/u)/(3/(-1594)) prime?
True
Let i = -30 + 36. Let j(r) = r**3 - r**2 + 2*r - 7. Is j(i) a composite number?
True
Suppose -2*r + 1 = d, -r + 2*r - 4 = 3*d. Is d/(((-2)/6)/(2198/21)) composite?
True
Is 254/(9/1431*6) a composite number?
True
Let w(r) = 2228*r**3 - r**2 - r + 1. Is w(1) a composite number?
True
Let p(k) = -155*k + 37. Let f be p(7). Is 5/((-20)/f) + -3 composite?
True
Let h(b) = 8*b**2 - 19*b - 20. Suppose -16*r + 7 - 151 = 0. Is h(r) a composite number?
True
Suppose 9*n = 91879 + 122330. Is n a prime number?
True
Let o = -224 + 597. Is o composite?
False
Let q(d) = d - 4. Let l be q(6). S | {
"pile_set_name": "DM Mathematics"
} |
the next term in 6886, 6842, 6770, 6670, 6542?
6386
What comes next: -786, -1523, -2266, -3015, -3770, -4531, -5298?
-6071
What is the next term in -772, -1363, -1954?
-2545
What is next in 1925, 1920, 1915, 1910?
1905
What comes next: 7040, 7064, 7088, 7112, 7136, 7160?
7184
What comes next: -397, -1513, -3335, -5851, -9049?
-12917
What comes next: -74054, -73846, -73626, -73388, -73126, -72834, -72506?
-72136
What is next in -4159, -33083, -111591, -264475, -516527, -892539, -1417303, -2115611?
-3012255
What is next in -31831, -63690, -95549, -127408?
-159267
What is the next term in 122, 183, 214, 215?
186
What is the next term in -261, -279, -327, -405, -513, -651, -819?
-1017
What is next in 144, 806, 1916, 3480, 5504, 7994, 10956, 14396?
18320
What is next in 23977, 23975, 23973, 23971?
23969
What comes next: 6595, 13010, 19425, 25840, 32255, 38670?
45085
What is next in 20874, 20821, 20768, 20715, 20662, 20609?
20556
What is the next term in -1666, -3189, -4712, -6235, -7758, -9281?
-10804
What comes next: 371, 651, 1117, 1769?
2607
What comes next: -89, -300, -655, -1154, -1797, -2584, -3515?
-4590
What comes next: -994, -1050, -1158, -1330, -1578?
-1914
What comes next: 9769, 10017, 10431, 11011, 11757, 12669, 13747?
14991
What comes next: -9573, -9567, -9561, -9555, -9549, -9543?
-9537
What is next in -969, -1700, -2919, -4626, -6821, -9504?
-12675
What comes next: -384, -3597, -12320, -29307, -57312, -99089, -157392, -234975?
-334592
What is next in -7860, -15728, -23596?
-31464
What is next in -10, -57, -154, -301?
-498
What is next in -5, 75, 213, 415, 687, 1035, 1465, 1983?
2595
What is the next term in 154, 133, 80, -23, -194, -451?
-812
What comes next: -53, -83, -77, -29, 67, 217, 427?
703
What is next in 105, 196, 335, 516, 733, 980?
1251
What comes next: -3976, -3939, -3878, -3793, -3684?
-3551
What is next in 85, 155, 215, 265, 305, 335, 355?
365
What is the next term in 1032, 1153, 1274, 1395, 1516, 1637?
1758
What is next in 569, 763, 957, 1151?
1345
What is next in 6, 21, -34, -219, -594, -1219, -2154, -3459?
-5194
What is next in 135, 488, 1029, 1758?
2675
What comes next: 41, 112, 209, 314, 409, 476?
497
What is next in 560, 720, 880, 1040, 1200, 1360?
1520
What is the next term in -735, -1548, -2361, -3174, -3987?
-4800
What comes next: 211, 430, 657, 886, 1111, 1326, 1525?
1702
What comes next: -174, -655, -1458, -2589, -4054, -5859, -8010?
-10513
What is the next term in -166, -651, -1404, -2383, -3546, -4851, -6256, -7719?
-9198
What comes next: 84364, 84366, 84368, 84370?
84372
What is next in 15276, 15268, 15260?
15252
What is the next term in -3755, -3753, -3749, -3743, -3735?
-3725
What comes next: -40, -411, -1058, -1981, -3180, -4655, -6406?
-8433
What is the next term in -319, -1315, -3007, -5419, -8575, -12499?
-17215
What comes next: -4, -71, -154, -241, -320, -379, -406, -389?
-316
What is next in 592629, 592626, 592623, 592620, 592617?
592614
What is the next term in -41651, -41664, -41677, -41690, -41703, -41716?
-41729
What is the next term in 946, 997, 1070, 1159, 1258, 1361, 1462, 1555?
1634
What is next in 477, 953, 1451, 1983, 2561, 3197, 3903?
4691
What is next in -359047, -359044, -359051, -359074, -359119, -359192, -359299, -359446?
-359639
What is the next term in 292, 522, 752, 982?
1212
What comes next: -81, -329, -999, -2307, -4469?
-7701
What comes next: -1044, -1052, -1060, -1068, -1076?
-1084
What is the next term in -20417, -40867, -61333, -81821, -102337, -122887, -143477?
-164113
What is the next term in -219, -412, -579, -720?
-835
What is the next term in -269, 85, 439, 793, 1147, 1501?
1855
What is next in 2709, 5393, 8077, 10761?
13445
What comes next: 70600, 70605, 70610?
70615
What is next in -129, -1023, -3455, -8193, -16005, -27659?
-43923
What is the next term in -6, 48, 208, 528, 1062?
1864
What is next in 3599, 3605, 3611, 3617, 3623, 3629?
3635
What is next in 7668, 15389, 23106, 30819, 38528?
46233
What comes next: -103, -398, -897, -1600, -2507, -3618?
-4933
What is the next term in 9738, 19770, 29802, 39834, 49866?
59898
What is the next term in -656, -1198, -1646, -2000, -2260, -2426, -2498?
-2476
What is the next term in -105397, -210795, -316207, -421639, -527097, -632587?
-738115
What is the next term in -181, -389, -597, -805, -1013?
-1221
What comes next: 52429, 52436, 52445, 52456, 52469, 52484, 52501?
52520
What comes next: 3134, 6253, 9342, 12389, 15382?
18309
What is the next term in 1500, 945, 18, -1287, -2976, -5055, -7530, -10407?
-13692
What is next in 338, 411, 484, 557?
630
What is next in 7100079, 7100078, 7100077, 7100076, 7100075?
7100074
What is next in 233, 767, 1657, 2903, 4505?
6463
What is next in -405, -1528, -3389, -5988?
-9325
What comes next: 239, 862, 1707, 2618, 3439, 4014, 4187?
3802
What is next in 395, 379, 351, 311, 259?
195
What comes next: -267, -1168, -2669, -4770, -7471, -10772?
-14673
What comes next: 1043, 971, 899, 827, 755, 683?
611
What is next in -18, 170, 680, 1674, 3314, 5762, 9180, 13730?
19574
What is next in -88, -87, -26, 95?
276
What is the next term in 2093, 8460, 19079, 33950?
53073
What comes next: -2079, -2835, -4897, -8919, -15555, -25459, -39285?
-57687
What is next in 183, 209, 229, 243, 251, 253?
249
What is next in 1114, 2223, 3336, 4453, 5574, 6699?
7828
What is the next term in -33213, -33203, -33193, -33189, -33197?
-33223
What comes next: 817, 599, 19, -1103, -2947, -5693?
-9521
What is the next term in -226345, -226352, -226359, -226366, -226373?
-226380
What is the next term in -7453, -7458, -7463, -7468, -7473, -7478?
-7483
What is the next term in 14514, 28988, 43456, 57912, 72350?
86764
What is next in -11151, -44572, -100273, -178254, -278515?
-401056
What is next in -8898, -17795, -26692?
-35589
What comes next: 7447, 29784, 67009, 119122, 186123, 268012?
364789
What is next in -2000, -3981, -5960, -7937, -9912, -11885, -13856?
-15825
What is next in -118, -243, -372, -505?
-642
What is the next term in -10946, -21989, -33034, -44081, -55130, -66181, -77234?
-88289
What is the next term in -1171, -1030, -889, -748, -607?
-466
What comes next: -2037, -1988, -1909, -1800?
-1661
What is the next term in -907, -2045, -3183, -4321, -5459?
-6597
What comes next: 36, 48, 60, 72, 84?
96
What comes next: -66252, -132507, -198762?
-265017
What comes next: -63074, -252316, -567720, -1009286?
-1577014
What is the next term in -1274, -1197, -1118, -1037, -954?
-869
What comes next: -75, -310, -715, -1290, -2035, -2950?
-4035
What comes next: -127, -343, -387, -1, 1073?
3093
What is next in 528, 1142, 1858, 2682, 3620, 4678, 5862, 7178?
8632
What comes next: -489, -652, -917, -1278, -1729, -2264?
-2877
What is the next term in 69, 711, 2457, 5859, 11469, 19839, 31521, 47067?
67029
What is next in 118338, 118331, 118320, 118305, 118286, 118263, 118236?
118205
What is the next term in -90, 515, 1508, 2877, 4610, 6695, 9120, 11873?
14942
What is the next term in -29, 18, 97, 208, 351, 526, 733?
972
What comes next: -3895, -7791, -11689, -15589?
-19491
What is next in -300, -647, -1024, -1431?
-1868
What comes next: 17228, 17220, 17208, 17192, 17172?
17148
What comes next: 1511, 1529, 1549, 1571, 1595, 1621, 1649?
1679
What comes next: 149, 582, 1403, 2690, 4521, 6974, 10127, 14058?
18845
What is the next term in -123, -1099, -2717, -4971, -7855, -11363, -15489?
-20227
What is the next term in 39298, 39355, 39412, 39469?
39526
What is the next term in -38, -225, -572, -1079, -1746, -2573?
-3560
What is next in 6744, 6800, 6856, 6912, 6968?
7024
What is next in -13821, -13814, -13807, -13800?
-13793
What is next in 856, 849, 840, 829, 816, 801?
784
What comes next: 2058, 2118, 2188, 2274, 2382?
2518
What is next in -9654534, -19309069, -28963604?
-38618139
What is next in 781, 613, 447, 283, 121, -39?
-197
What is next in -24, -49, -88, -147, -232, -349, -504?
-703
What comes next: 1337, 5366, 12093, 21518, 33641, 48462?
65981
What is the next term in 12408, 24790, 37148, 49470, 61744, 73958, 86100?
98158
What is the next term in 5288, 10574, 15860, 21146, 26432?
31718
What is next in 142191, 284383, 426575, 568767, 710959, 853151?
995343
What is the next term in -3947, -31607, -106679, -252869, -493883?
-853427
Wh | {
"pile_set_name": "DM Mathematics"
} |
Let k = 24 - 0. Suppose k = 2*n - o. What is the remainder when 20 is divided by n?
8
Suppose 12*b + 5*v = -244, 3*b - 17*v = -16*v - 70. Suppose -m - 2*m = 3. Let g = m - b. What is the remainder when 80 is divided by g?
17
Suppose -2*z + 526 = -t, -17*t + 1076 = 4*z - 22*t. What is the remainder when 902 is divided by z?
125
Let p(h) = h**2 - 18*h + 34. Let c(d) = -30*d + 3. Calculate the remainder when p(22) is divided by c(-2).
59
Let m = -3127 - -3190. Calculate the remainder when m is divided by 54.
9
Suppose 0*z + 4*z - 5*i - 181 = 0, -z - 5*i + 39 = 0. Let f(l) = 2*l**3 - 47*l**2 - 15*l - 87. Calculate the remainder when f(24) is divided by z.
41
What is the remainder when (-1380)/(-253)*(-154)/(-4) is divided by 32?
18
Calculate the remainder when ((-11 - -20) + 300)/3 is divided by 43.
17
Suppose 4*j + 32 = 3*t, 6*t - 41 = 3*t - 5*j. Let q(o) = -2*o**2 - 8*o + 7. Let x = -78 - -74. What is the remainder when t is divided by q(x)?
5
Suppose 25 - 1 = 4*y. Let c(n) = -n**2 + 14*n - 9. Calculate the remainder when -1278*((-624)/88 - -7) + 2/(-11) is divided by c(y).
38
Suppose -6938 = -65*p + 35476 - 6729. What is the remainder when p is divided by 273?
3
Suppose -3*l + 3*y + 0 = 3, 2*y = 4*l - 6. Suppose -5*h + l*o + 100 = 0, -2*o = 5*h - 148 + 18. Calculate the remainder when h is divided by (8/12)/(12/126).
3
Suppose -4*w + 8 = -5*f - 103, -f = w - 21. What is the remainder when 1173 is divided by w?
21
Suppose 0 = 5*s - 95 - 40. Suppose 13*b + s = 92. Calculate the remainder when 38 is divided by b.
3
Suppose 2*j - 309 = -5*s, -3*j + 438 = -49*s + 48*s. What is the remainder when j is divided by ((-9)/(-3) - 5*-9) + -3?
12
Suppose -4*l - 5*y = -228, 793*l - 4*y = 794*l - 68. Calculate the remainder when 87 is divided by l.
35
Suppose -6*w + 26*w - 5570 = 8610. Calculate the remainder when w is divided by 23.
19
Suppose -11*y + 10*y + 76 = -5*k, -3*y = 8*k - 228. Calculate the remainder when 27510 is divided by y.
74
Let h(c) be the third derivative of -15*c**4/8 - c**3/3 - c**2. Calculate the remainder when h(-3) is divided by 2/(-35) + 7164/420.
14
Suppose 3*z + 4*z - 5737 = -5674. What is the remainder when 852 is divided by z?
6
Let q = 938 - 893. Calculate the remainder when 147 is divided by q.
12
Suppose 192*j = 260*j - 272. Calculate the remainder when 368 is divided by j.
0
Let j = -36 - -49. Let b be (-3097)/(-95) + (-6)/10. Let k = b - -16. Calculate the remainder when k is divided by j.
9
Suppose 0 = -5*j + 3*x + 13, -3*j + 4*x - 26 = -5*j. Suppose j*s - 5*k - 875 = 0, -3*s + 15*k = 17*k - 520. Calculate the remainder when s is divided by 3.
0
Suppose 0 = 9*l - 17*l - 856. Let o = l + 235. What is the remainder when o is divided by 23?
13
Suppose 8*t + 624 = 4*m + 3*t, 5*m - 3*t = 767. Suppose 67 = -3*u + m. What is the remainder when 81 is divided by u?
25
Let l(i) = 2*i**2 + 16*i + 108. What is the remainder when 114 is divided by l(-8)?
6
Let z = -220 + 290. Suppose -u = -5*t + 1746, -t + 2*t = u + 350. Calculate the remainder when t is divided by z.
69
Suppose 14*t - 5382 = -64*t. Let u(q) = 14*q - 2. What is the remainder when t is divided by u(1)?
9
Suppose 22*j - 84 - 158 = 0. Suppose j*o - 4655 = -8*o. Calculate the remainder when o is divided by 62.
59
Calculate the remainder when ((-7909)/(-110) + 6/10)*2 is divided by 30.
25
Let l = -1624 - -1741. Calculate the remainder when l is divided by 24 - -7 - (-1 - -2).
27
Let w(n) = n**2 + 10*n + 4. Let q be w(-22). Let z = q + -153. What is the remainder when z is divided by 29?
28
Suppose 100*s + 4*s - 21 = 1123. Calculate the remainder when 2142 is divided by s.
8
Let z = -238 + 416. Let h = z - 165. What is the remainder when 22 is divided by h?
9
Suppose -677*j - 693*j + 1390*j - 6800 = 0. What is the remainder when j is divided by 40?
20
Let c(z) = 92*z + 2364. Calculate the remainder when 1479 is divided by c(-23).
239
Suppose 2*m + 120 = 2*z - 0*z, -4*m = -z + 78. Calculate the remainder when 217 is divided by z.
1
Suppose -34 = -28*t + 134. Suppose t*l + 489 = 543. What is the remainder when (14 - 0)/((-1)/(-1)) is divided by l?
5
Suppose -q + 2*k + 6 = 0, q - 2*q = 4*k. Suppose -q*w + 1 = -27. Let g(i) = -15618*i + 93730. Calculate the remainder when g(6) is divided by w.
1
Let s = 3038 + -2778. Suppose 0 = -6*a - 10*a + 144. What is the remainder when s is divided by a?
8
Suppose -5*w = 2*s - 2413, 4*s = -2*w + 6*w + 4812. Suppose -19*m + s = -5*m. What is the remainder when m is divided by 18?
14
Let u(n) = n**3 + 6*n**2 - 3. Let k be u(-6). Calculate the remainder when (2/k)/((-2)/213) is divided by (-1312)/(-52) - (-9)/(-39).
21
Let m = 48 + -44. Let p be (2 + 10/m)*78/9. Suppose 2*o - p = -x - 2*o, 0 = -2*x + 2*o + 78. Calculate the remainder when x is divided by 10.
9
Let k be (-816)/56 + 18/(-42). Let w(o) = o**2 - 11*o - 9. Let m be w(7). Let n = k - m. Calculate the remainder when n is divided by 5.
2
Let b = -148161 + 148183. Let m(c) = 11*c**2 - 1. Calculate the remainder when m(4) is divided by b.
21
Let q(l) = -25*l - 217. Let w(x) = 9*x + 72. Let s(m) = -4*q(m) - 11*w(m). Calculate the remainder when s(-27) is divided by 36.
13
Let q(x) = 14*x**3 + 4*x**2 - 7*x + 13. Let d be q(3). Let p = 408 - d. What is the remainder when 14 is divided by p?
0
Let r = 2207 - 2140. Calculate the remainder when 197 is divided by r.
63
Let t = -5826 + 10781. Calculate the remainder when t is divided by 134.
131
Suppose 30*g = 3*q + 33*g - 13884, 5*q = 3*g + 23100. What is the remainder when q is divided by 1540?
3
Let u = 5260 - 5177. Let p(b) = 6*b + 3. Calculate the remainder when u is divided by p(3).
20
Let q(j) = -8*j + 34. Let l be q(4). Suppose -l*c - 216 - 22 = -4*t, -77 = -t + 4*c. Let s = -60 + 75. What is the remainder when t is divided by s?
12
Suppose -4*z + 4*j = -528, 99*z - j - 386 = 96*z. What is the remainder when z is divided by 29?
11
Let p(l) = l**2 - 2*l - 3. Let r = 502 + -495. Calculate the remainder when p(7) is divided by r.
4
Let u(j) = 6*j + 124. Let i be u(-24). Suppose -2*l + 50 = -68. Calculate the remainder when l is divided by (-656)/i + 12/(-15).
27
Let p = 165 - 81. Calculate the remainder when (524/10)/(p/(-70))*-3 is divided by 33.
32
Let g be -3 + 1 + 0 - 25. Let q = 44 + g. Let l = 3364 - 3335. Calculate the remainder when l is divided by q.
12
Let v = -23 + 49. Calculate the remainder when (7/14)/((-25)/(-2900)) is divided by v.
6
Let u be 1/(3*(-4)/(-60)). Suppose -3*w + 3*l = 0, 0 = -4*w + 2*l - u*l. Suppose 13*t - 19*t + 72 = w. Calculate the remainder when 35 is divided by t.
11
Let m = 10268 + -9762. What is the remainder when m is divided by 11?
0
Let j(c) = -4*c**3 + 20*c**2 - 2*c - 12 + 3*c**3 + 3*c**3 - c**3. Calculate the remainder when j(-20) is divided by 5.
3
Suppose 5*u + 668 = -3*v + 2391, 3*v - 1726 = -2*u. Suppose 0 = -3*j + 4*w - 6*w + 347, w - v = -5*j. What is the remainder when j is divided by 34?
13
Suppose -2*g - 4*k + 4 = -16, -5*g = -5*k + 25. Let t = 460 - 247. Suppose -2*n + t - 71 = g. Calculate the remainder when n is divided by 36.
35
Let p(q) = -4*q**2 + 2*q - 3. Let a be p(-4). Let t be (-2431)/119 - (-3)/7. What is the remainder when (-12*t/a)/((-1)/35) is divided by 19?
17
Suppose -b + 3*s + 1822 = 0, -4*b + 1292 = -2*s - 6056. What is the remainder when 5524 is divided by b?
4
Suppose -1022 = 4*s - s + z, 3*s + 992 = 5*z. Let r = s - -354. Calculate the remainder when 239 is divided by r.
14
Let n be (4/(-5))/2 - (-10778)/170. Suppose -a + 33 = -0*a. Suppose 66*s - n*s - a = 0. Calculate the remainder when 32 is divided by s.
10
Suppose 205 = w - 2*a, 0 = -5*w + 4*w + 4*a + 189. Calculate the remainder when 3756 is divided by w.
220
Let a = -2153 - -2197. What is the remainder when 928 is divided by a?
4
Let i(a) = -14*a**2 - 141*a - 1. Suppose 4*t = -0*t. Let g(m) = m**2 + 2*m + 44. Calculate the remainder when g(t) is divided by i(-10).
8
Let h(z) = z - 8. Let a be h(4). Let b be 7*(48/(-14))/a. Let m(k) = 4*k - 21. Calculate the remainder when 10 is divided by m(b).
1
Suppose -x + 3*g = -1540, 2*g - 4675 = -58*x + 55*x. What is the remainder when x is divided by 40?
35
Let n(g) = -2*g**3 + 12*g**2 + 435*g + 27. What is the remainder when (36/(-8))/(2/(-68)) is divided by n(18)?
72 | {
"pile_set_name": "DM Mathematics"
} |
9 - 2 - 3.
5
Evaluate 3 + -2 + 11 - 9.
3
What is -3 + 0 + (0 - -4 - 3)?
-2
What is (9 - (1 + -2 - -5)) + -9?
-4
What is -4 + (-14 - -3) + 8?
-7
Evaluate (-7 - (-6 - 1)) + -5.
-5
Evaluate -1 + 9 + -18 + 8 + 1.
-1
What is the value of (-5 - -2) + 6 + -1?
2
What is (3 - 5 - (-1 - -1)) + 5?
3
What is 1 + 7 + 1 - 6?
3
What is -7 + 12 + -11 - -4?
-2
What is the value of 9 - (4 + 3 + -3)?
5
Calculate 4 - -1 - (14 + (-32 - -24)).
-1
Evaluate -9 + (-6 - (-21 - -7)).
-1
Evaluate -7 - (-2 + 0 + 7 - 8).
-4
What is the value of 2 + (-5 - -1) + -2?
-4
What is (-2 - -2) + (13 - 14)?
-1
Evaluate 10 - (13 + 1 - 15).
11
What is (4 - 10) + 7 - 4?
-3
13 - 14 - (-1 + 4 + -2)
-2
What is the value of -5 - -2 - 0 - (-2 - -1)?
-2
Calculate -9 + 13 - (4 - 1).
1
What is the value of -5 + (-2 - -4) + 1?
-2
3 - -12 - (1 + 6 + 0)
8
What is 0 + (2 - 6) + 4 - 2?
-2
Evaluate (4 - 3) + 4 + -6.
-1
Evaluate 4 + (-3 - (-4 - -1)).
4
0 - -6 - (-14 + 15)
5
What is (9 - (11 + -4)) + -6?
-4
Evaluate 3 + 0 + -4 + 3 + -7.
-5
Evaluate -6 - (-4 - 1) - (1 - 6).
4
-1 + -1 + (-6 - -4)
-4
(-5 - 8) + 12 + (0 - -6)
5
Evaluate (6 - 11) + (-1 - -6) - -6.
6
What is 1 + -7 - (-1 - 6)?
1
What is -27 + 30 + (0 - 1)?
2
Calculate 10 - (17 + -3) - (1 - 5).
0
What is (-5 - -2 - 3) + (-4 - -4)?
-6
-2 + 4 + 2 + -10
-6
What is (-1 - -8) + (6 - 10)?
3
Evaluate (1 - 7) + 9 - (0 + -1).
4
Evaluate (3 - -1) + (-7 - -20 - 8).
9
Evaluate 0 + (-2 + 0 - 2).
-4
What is -4 + (22 + -19 - (0 - -1))?
-2
Calculate -5 + 4 + 2 - (5 - 1).
-3
What is (0 - -13) + (-58 - -52)?
7
What is 2 - 0 - (21 + 22 + -46)?
5
What is the value of -10 + 6 + (13 - 3)?
6
Evaluate 3 - ((2 - -1) + (-6 - -3)).
3
What is the value of 0 + -8 + 13 + -4 + 0?
1
-10 + (3 - 12) + 20
1
Calculate (0 - -2) + (16 - 15).
3
Calculate -2 + 4 + (3 - (0 - -10)).
-5
-3 + (6 - 1) + -2 + -4
-4
Evaluate 14 + -6 + 2 - 2.
8
(13 - (-3 - -4)) + 17 + -23
6
Evaluate (-11 - -6) + -4 + 6 + -4.
-7
What is the value of -4 - 0 - (3 - (4 + 3))?
0
What is 4 - (-4 + 8) - 4?
-4
What is the value of 1 + (13 - 9) - (3 - -1)?
1
Calculate -9 + (-9 - -29) + -7.
4
What is 3 + -4 + (-6 - -2)?
-5
What is -3 - (-3 - 5 - -10)?
-5
What is -13 + (10 - (11 - (3 + 3)))?
-8
What is the value of -4 + -5 + (10 - 4)?
-3
Calculate (-1 - 7) + 5 - 1.
-4
Calculate 10 + -17 + 1 + 9.
3
Calculate (1 - 2) + (121 - 126).
-6
What is 1 - 3 - (-3 - -1) - -2?
2
-4 + (9 + -4 - (0 - -1))
0
Calculate -1 - (6 - 13 - -4 - 7).
9
What is 0 - (0 - -7 - 4)?
-3
1 - (45 + -37 + -6 + 0)
-1
What is the value of 0 + 4 + (-1 - 6)?
-3
What is -1 + (-3 - 1 - -3)?
-2
What is -14 + (9 - 4 - (5 - 5))?
-9
Calculate (1 - 3) + (-29 - -38) - 0.
7
What is 0 + (-1 - (5 - 10) - 0)?
4
What is -1 - (-1 - 1 - (1 + 0))?
2
(0 + -2 - -12) + 155 + -160
5
(0 - -1 - 2) + 8 + -7
0
What is the value of -10 + 11 + -1 + -1?
-1
What is 19 - ((19 - -3) + -11)?
8
What is the value of (5 - 4) + 2 + 2?
5
What is -9 - (-1 + 0) - (-454 + 448)?
-2
4 + (2 - 6) + 3 - 7
-4
-7 + (5 - 0) + (18 - 15)
1
What is -8 + (-23 - -23 - (-9 + 2))?
-1
What is the value of (-3 - (2 + -2 + -1)) + 3?
1
Calculate -4 - 0 - (2 - 7).
1
Calculate 3 - (-4 - -11) - (-1 + -2).
-1
Calculate (1 - -1) + 5 - 2.
5
Evaluate (0 - 2) + (2 - -1).
1
What is (-6 + -3 - -4) + (-3 - 0)?
-8
Calculate (0 - 0 - 0) + 0.
0
Evaluate -12 + 2 + 2 + 6.
-2
Calculate (2 - -4) + (2 - 0 - 4).
4
What is the value of 0 + (9 - 0) + (-6 - -1)?
4
Calculate -1 - (5 + -3) - 0.
-3
What is the value of -3 + (3 - (-3 + 4))?
-1
Calculate -6 + 0 + -4 - -11.
1
What is the value of 1 - (0 - -4 - 8)?
5
What is the value of (-2 + 7 - -3) + -2?
6
Calculate (-1 - -5) + (0 - 1 - -2).
5
Calculate -11 + (9 - 3) + 3.
-2
What is the value of (-6 - -12) + (0 - 2) + -5?
-1
Calculate -1 + -1 + 4 - (3 - 0).
-1
Calculate 0 - -2 - (35 - 29).
-4
What is the value of -92 + 92 - (4 + 1 - 1)?
-4
Evaluate -39 + 50 + (-4 - -3).
10
Evaluate 7 - (-9 + 5) - 6.
5
Calculate -17 + 2 + 1 - -25.
11
What is 0 + 0 + 0 + (-22 - -25)?
3
Calculate (7 - 5) + 1 + -6.
-3
Evaluate -3 - (1 + 4 - (2 - -12)).
6
What is (-3 - -3) + 3 + (-42 - -44)?
5
Calculate (79 - 79) + (1 - 1) + 0.
0
-2 - (-1 + 2 + -1 + 1)
-3
1 - -1 - (-15 - -16 - -5)
-4
Evaluate 1 - 10 - (16 + -22).
-3
Evaluate (-11 - -5) + (0 + 3 - -1).
-2
Calculate (1 - (-4 + -6)) + -14.
-3
What is 0 - 10 - (-7 + -8)?
5
Evaluate -2 + 7 + -1 - (2 + -3).
5
What is -7 + (16 - 5) + -6?
-2
What is the value of 3 - (0 + -3 - -2) - 2?
2
(-7 - -1) + 4 + -2
-4
Calculate (-3 - -4) + (3 + 1 - 0).
5
What is the value of 1 + 3 + (2 - 0 - 3)?
3
-4 - 6 - (4 - 7)
-7
What is -14 + 3 + 1 + 6?
-4
What is the value of (4 - (0 - -6)) + 4 + -1?
1
Calculate (9 - (-1 - -3)) + 2 + -4.
5
What is the value of 2 - (-9 - (-3 - 3))?
5
What is the value of -7 - (-8 - 1 - -6)?
-4
0 + 1 - -5 - (14 - 10)
2
What is 7 + -9 + 6 - 6?
-2
What is the value of (-2 + 4 - 4) + -4 - -15?
9
-3 + -2 + (9 - 4)
0
What is the value of 0 + -6 + -3 + 7 + -3?
-5
What is the value of -1 + 1 + -3 - (-1 + -1)?
-1
What is -7 + 4 + -1 + -1?
-5
Evaluate -12 - (3 + (7 - 14) + 2).
-10
What is the value of 5 + -3 + 1 + -1?
2
Evaluate (15 - 19) + -3 + 1 + 11.
5
What is the value of (-1 - -5) + -27 + 23?
0
What is the value of -4 - -5 - (-1 + 2)?
0
Evaluate 0 - -3 - (7 - 0).
-4
What is the value of -2 + 5 + -2 + 4 + -2?
3
Evaluate (-2 - (6 - 2)) + 4 + 0.
-2
-25 + 27 + (1 - -1) + -4
0
Evaluate 8 + (1 - 24) + 10.
-5
What is the value of 6 + -9 + -7 - -7?
-3
(2 - 0) + 2 + (4 - 8)
0
Evaluate 0 - 3 - (2 + -7 + 1).
1
What is the value of -4 + -1 - (60 + -57)?
-8
Evaluate (4 - (4 - 0)) + -2.
-2
What is 3 - 2 - (-48 + 53)?
-4
Calculate -5 + (-1 - (1 + (-4 - 1))).
-2
Calculate 4 - (-2 - (1 - 2)).
5
What is 0 - -8 - (4 + 1 + -4)?
7
What is the value of (-9 - -5) + 5 + 2?
3
What is -47 - -46 - (0 - -1)?
-2
What is 4 - (8 + -2 + 10 + -15)?
3
Calculate -2 - 1 - -2 - (2 - -2).
-5
Evaluate 4 + -2 + 4 + -1.
5
What is the value of -1 + ((1 - -1) + 5 - 1)?
5
(7 - 7 - -1) + -3 + -2
-4
What is (0 - (-2 + 0)) + (2 - -1)?
5
-2 + -3 + 4 + (-2 - -4)
1
-6 + 0 + 18 + -15
-3
What is the value of -3 + (3 - (1 + -6)) - 6?
-1
-5 + 8 - -6 - 6
3
What is the value of -1 + 3 + 0 + 0?
2
-1 + 4 + -5 + 5 + 4
7
Evaluate 11 + -10 + 2 + -6.
-3
Evaluate -3 - 5 - -4 - -4.
0
What is the value of 0 + (7 - 15) + -5 + 11?
-2
What is -1 + 1 + -2 + (201 - 204)?
-5
What is -9 + 5 + 10 + -8?
-2
12 + -17 - (0 - 1)
-4
Evaluate -2 + -1 + 9 - 1.
5
What is the value of 1 + -4 - (4 - 2)?
-5
Calculate 0 - -1 - -3 - (14 - 10).
0
Calculate 4 + -5 + (-3 - -7) + 0.
3
Evaluate -5 - (-1 + -1 + -1).
-2
What is -2 - (14 + -5 + -5)?
-6
What is -2 + -3 - (-12 + 6)?
1
What is 3 + (3 - 1 - 2)?
3
8 + 2 + -2 - 3
5
Evaluate -14 - -18 - (2 + 3).
-1
What is the value of (5 - (-4 + 8)) + -7?
-6
What is 5 + 1 - (-4 + 7 + -2)?
5
Calculate 10 - (-55 + 62 - (-1 + 4)).
6
What is 1 - -3 - (3 - 2)?
3
Calculate (8 - (0 - 1 - 4)) + -4.
9
Calculate -11 + (3 - 8 - -7).
-9
What is the value of (-1 - -7) + (-22 - -15)?
-1
What is the value of -4 - (-1 + (3 - 3)) - -8?
5
-2 + (1 - -7) + (53 - 66)
-7
What is the value of (1 - 0 - (3 - 4)) + -3?
-1
Evaluate 6 + -4 - -3 - 6.
-1
What is the value of -5 - (-2 + -5 - -2) - 4?
-4
What is -8 + 1 - (30 + -33)?
-4
What is the value of 6 + -2 + (41 - 44)?
1
Calculate -18 - -19 - (-3 + -2 + 1).
5
3 + -5 + -5 - -3
-4
Calculate 6 + 1 + -2 + 12 + -12.
5
Calculate 9 - ((-4 - 0) + 6).
7
-11 + 16 + -10 + 1 + 0
-4
Evaluate 4 + -1 + (-1 - 1 - 1).
0
What is (2 - -1) + 6 + -8?
1
Evaluate -21 - -6 - -1 - -11.
-3
Evaluate 1 - (-1 + (1 - (-6 + 2))).
-3
What is the value of -18 - (1 - 8) - -16?
5
Evaluate -6 - (-12 - (-7 + 8 + -2)).
5
What is 5 + 2 + (-45 - -35)?
-3
Calculate (-11 - -15) + (-9 - (-9 - -4)).
0
What is the value of -7 - (-8 - (-2 + -5))?
-6
Evaluate -2 + 8 + (-2 - 3).
1
Calculate 1 + -1 + 1 + 3 - 8.
-4
Calculate 9 + 5 + -13 + -9.
-8
Evaluate 4 + (-6 - 1) + 0.
-3
What is (3 - 8) + 0 + 12?
7
Evaluate 4 - (-3 - (4 - 4)).
7
What is 6 + 1 + -12 + 1?
-4
Evaluate 3 + 1 + -11 + 0 + 3.
-4
What is (-4 - -2) + -9 + 7 + 6?
2
Calculate -4 - -2 - (-8 - -4).
2
What is (1 - 2) + (-1 - (4 - 6))?
0
What is 1 + 6 + (0 - 5) + 0?
2
Calculate 0 + -2 - (-21 - -23).
-4
What is the value of -4 + 4 - (5 + -3 + -1)?
-1
What is the value of 51 + -51 + 1 + -1?
0
-3 + 1 + (1 - (8 - 7))
-2
Calculate 1 - (10 + -9 + -1).
1
Evaluate -1 + (-2 - -4) | {
"pile_set_name": "DM Mathematics"
} |
5. Let g = -43 - -43. Let l be w(g). Solve -2*k - 4*i - 43 + l = 0, 0 = 5*k - 2*i + 10 for k.
-4
Let y(x) = 4*x**2 - 74*x + 218. Let j be y(15). Solve 8*a + 2*r = 7*a - j, -2*a + 4*r = -8 for a.
-2
Suppose 110*o - 64*o - 138 = 0. Solve 0 = -3*s - 2*q - o, 3*s + 9 = 2*s + 2*q for s.
-3
Suppose -6*m = -40 - 56. Let q(g) = 9*g - 32. Let p be q(m). Suppose 0 = 4*y - 0*y + 3*k - p, -140 = -5*y - 4*k. Solve 2*z + 25 = 3*a, 12 = 5*a - 3*z - y for a.
5
Suppose -6 = -2*u, -3*u + 14 = d - 0*u. Suppose 3*f - 37 = 5*s, 3*f + f + s - 57 = 0. Let r be 3/4*(f + -6). Solve c + z = -0*z - r, 2*c + d*z + 27 = 0 for c.
-1
Let d = 232 - 250. Let n be ((-27)/d)/(1/2). Solve 4*f = -n*m - 10, 7*f = m + 2*f - 22 for m.
2
Suppose 3*n - 95 = -2*o + o, 5*o + 5 = n. Solve 29*x - n*x = -5*h + 13, -2*x - h = 4 for x.
-3
Let h = -25364 - -25366. Solve -4*m + h*n = 0, 0 = 18*n - 15*n + 12 for m.
-2
Let a = 6 - 2. Let m be 105/10 + 5/10. Solve -5*b = -3*j + 2 - m, a*j - 8 = 0 for b.
3
Let i = 69 + -67. Suppose -21 = -z + x, -11*z + i*x = -10*z - 23. Solve 5*d - u + 19 = 0, -3*d = -4*d + 4*u - z for d.
-3
Let i be 6/(12/(-4)) + -280 - 4. Let o = i + 289. Solve -2*z = -c + o, 0 = -5*z + 5 for c.
5
Let p be -4*(-3)/4*17. Suppose 57*i = 56*i - 46. Let q = i + p. Solve 5*b + 3*h + q = 0, -h = 4 + 1 for b.
2
Let x(o) = -o**2 + 15*o + 157. Let y be x(22). Suppose y*g + 19 = 2*n, 3*n - 8*g = -4*g + 26. Solve -2*q = -3*i + 18, 0 = i + n*i + q - 9 for i.
4
Let p(r) = -r**3 - 16*r - 8. Let v be p(6). Let j = v + 322. Solve -m = 2*h + 9, -j*m + 0*m = -2*h - 12 for m.
1
Let y = 1004 - 1004. Solve y = 4*k - 0*k - 3*g - 16, k - 13 = 3*g for k.
1
Let z(q) = -57*q + 1088. Let x be z(19). Solve -3*j + 15 = 5*l, x*j = 2*l + 7*j - 6 for l.
3
Suppose -10*o + 33 = o. Let k be (4/(-4))/(o/(-6)). Suppose 2*u = -s + 3, 0 = u - s - k*s - 19. Solve 6*p - 2*p = 2*n + 28, u*p + 3*n = 8 for p.
5
Suppose 501*f = 1006*f - 1515. Solve -3*h = -f*u - 3, -21*h + 2*u = -18*h - 2 for h.
0
Suppose -3*b + 2*b - 200 = -2*v, 3*b = -5*v - 600. Let f = 203 + b. Solve -4*o = 3*c + 11, 0*c = -5*c + f*o + 1 for c.
-1
Let r be (1 + (-3)/3)/(-2). Suppose -3*s - 7*s + 40 = r. Solve 2*d + 10 = -5*o, -29 = 5*d + 3*o - s for d.
-5
Suppose 11*v + 11*v = 528. Let g = -702 - -702. Solve 3*y + 3*i + v = g, 5 = -i - 0 for y.
-3
Suppose 35 = -17943*h + 17948*h. Solve -g = 3*o - 47 + 54, 5*o = -4*g - h for g.
2
Suppose 0 = -k + q + 24, -3*q + 36 = -403*k + 406*k. Solve -21*o = -k*o + 4*d + 12, 15 = 4*o - 5*d for o.
0
Let h = -136 + 140. Let w be (-3)/(-3)*h + -2. Suppose 5*v = 5*m - 65, -2*m + 5*v + 26 = w*v. Solve 5*l = -4*t + m, -4*l - t + 19 - 2 = 0 for l.
5
Suppose z + 6306*v - 6308*v = -10, -2*z - 2*v = -10. Let b be 15/6 + (-2)/4. Solve z = b*d, -5*d = -2*a - 2*d - 10 for a.
-5
Suppose -16*z - 3*o = -19*z + 36, -2*o = 2*z - 56. Solve 0 = -3*n + 2*c, -90*n + 88*n - 2*c - z = 0 for n.
-4
Suppose -2*x - 4*p - 24 = 0, 5*p + 25 = -0*x - 5*x. Solve x*l - 8 = 3*h, -h - 4*l = -2*l for h.
-2
Let v(k) = k**3 - k**2 - 22*k + 51. Let b be v(4). Let y be (1 - 1)*(-6)/12. Solve -5*n + b = -2*w - 4, -w - n + 10 = y for w.
5
Let h = -51 + 96. Let z(q) = -q**3 + 5*q**2 + q + 51. Let g be z(7). Let d = g + h. Solve o - 14 = 5*l + d, -3*l = 2*o + 1 for l.
-3
Suppose -1040*k = -971*k - 345. Solve -2*j = -k*f - 16, -2 = 3*j + 4 for f.
-4
Let g = -18465 - -18472. Solve 5*d = -w + 23, -g*w = -4*d - 8*w + 18 for d.
5
Suppose 75*u - 77*u + 933 = 5*g, 0 = 3*u - 27. Solve -5*s + 188 - g = 0, 5*s = 5*x for x.
1
Let g(s) = -9*s**2 + 8*s + 3. Let a be g(1). Solve -l = 3*v + l + 15, -3*v + a*l = 3 for v.
-3
Suppose 6*l = 10*l. Suppose -5*d = -11*d + 18. Let w = l + d. Solve -21 = -2*i - 2*i + 5*s, 0 = -3*s - w for i.
4
Suppose -89*a = -3*q - 94*a - 2, 0 = 5*q + a - 26. Solve -p = -9*l + 13*l + q, -3*p - l = -4 for p.
2
Let u(y) = y**3 + 6*y**2 + 6*y + 50. Let a be u(-6). Solve -a*i = h - 16*i, 3*i = 4*h + 10 for h.
-4
Suppose -15*f - i = -14*f - 2, 4*i + 13 = 3*f. Let r(j) = -4*j + 20. Let q be r(4). Solve f*g - 3 = -2*c - c, c - 1 = q*g for c.
1
Suppose 3*u = 2*i - 1, 5*u + 792*i = 795*i. Solve -u*k = 3*g + 10 - 31, 0 = 5*k - 5*g - 15 for k.
5
Let i be (-3)/(-9)*2*-6. Let t be ((-11)/(-11))/((-2)/i). Solve 2*k = 4*w - 2*k, -t*k = -4 for w.
2
Suppose 5*z = 8*z - 345. Let o = -113 + z. Solve 0 = -3*n - o - 1, 0 = l - 4*n - 1 for l.
-3
Let q be -12*(-2 + 63/36). Solve 0 = -n - 3, 3 = -q*v - 0*v - 3*n for v.
2
Let o(x) = x**2 - 180*x + 1381. Let j be o(8). Solve -5 = 4*u - j*m, 4*u = 4*m + 5 - 9 for u.
0
Let s = -36573 - -36576. Solve s*v = u + 16, -7*u + 2*u - 2*v = -5 for u.
-1
Let j(w) = 11*w + 66. Let v be j(-6). Suppose v = 344*d - 347*d. Solve -4*g - 3*t + 24 = -d*g, -t = -5*g + 11 for g.
3
Let g be ((-1)/(-1) - 1)*-1. Let r be (25 + -7)*1/2. Suppose -r*m + 4 + 14 = 0. Solve g = -2*l + m*j - 4, j = 3*l - 0*j + 4 for l.
-1
Suppose -1114*y = -983*y - 262. Solve 2*u - 39*j + 21 = -42*j, u - y*j = 7 for u.
-3
Let z(l) = -13*l - 89. Let v be z(-7). Let c = -5 - -15. Suppose -11 = -y + c. Solve j = -v*j + 2*s + y, 4*s = 2*j - 22 for j.
5
Let d be (-350)/(-56) + 1/(-4). Let t be (-510)/25*10/(-4). Let n be (-238)/t*d/(-7). Solve p + n = 3*m, 3*p - 2 = -4*m - 1 for m.
1
Let r be -6 - (5 + (6 - 21)). Suppose 0*x + x - 2 = -n, 3*n + r = -x. Solve -2*c - x*s - 20 = 0, 4*c - 1 + 15 = 3*s for c.
-5
Suppose 3*l + 15 = 0, 3*i + 16*l - 11*l - 32 = 0. Suppose 12 = -4*t - 0. Let y = t + i. Solve 2*j + 4 = w, -4*w + j = 2*j - y for w.
4
Let z = 2894 - 2890. Suppose 0 = 2*g + 2 - 8, 4*g - 16 = -h. Let c be (0 - 2/h)*-8. Solve 2*k = -3*q + 22, k = -z*q + c*k + 1 for q.
4
Let j = -9 - -164. Let f = j - 155. Solve 2*r + 2 = 2*b, f*b + 4 = b for r.
3
Let i be 1/11*(96 + -63). Solve -i*l - n = 15, -2*l = -2*n - 0 + 10 for l.
-5
Suppose 0 = 13*d - 0*d - 26. Suppose 2*m - d*j - 18 = 0, -2*m - 5*j - 6 = -j. Solve 0 = -2*q - 5*z + 17, -4*q + m = -9*q - 3*z for q.
-4
Let r be 6*30/50*(-200)/(-48). Solve 0 = -3*k - 34*w + 30*w + r, 5*k - 25 = 2*w for k.
5
Let t(y) = -y**3 + 7*y - 7. Let l be t(3). Let c = l + 10. Let a be (((-6)/9)/(-2))/(c/(-36)). Solve -a = 2*d + 2*d + o, -3*o = 0 for d.
-1
Let f be 0 + (-4)/(3 + -4). Suppose f*p + 3*s - 172 = 0, p = s + 15 + 35. Let h = -43 + p. Solve -4*l - h*c + 30 = 11, -3*c = -3*l - 12 for l.
1
Let l(s) = s**2 + 13*s - 15. Let g be l(-15). Let v be 125/30 + (-102)/(-36) + -3. Solve 18 = 3*x - 3*r, -5*x + g = v*r + 3 for x.
4
Suppose 2*m = -3*f + 30, -8*f = -7*f + 6. Solve 3*a - m = -2*u, 5*a = -u - 8 + 41 for u.
3
Suppose 41*k + 165 = -32*k + 457. Solve -9*o + k = -7*o, 5*d + 4*o = 8 for d.
0
Let g = -4260 - -4272. Solve 5*u - 3*w + 49 = g, u - 11 = -4*w for u.
-5
Let x(y) = -5*y**2 - 21*y - 67. Let w(t) = 9*t**2 + 42*t + 136. Let k(h) = 3*w(h) + 5*x(h). Let r be k(-5). Solve r = 2*u + 5*b, 4*u = b + b - 12 for u.
-1
Suppose 5 + 4 = 3*n. Let m(g) = 4*g - 15. Let b be m(5). Suppose 5*x - 25 = 0, -6*o + b*o - 4 = -3*x. Solve -5*d = -l + o, -6*l + n*d = -l - 11 for l.
1
Suppose 0 = 3*q - 5*a + 2*a + 705, -4*a = 2*q + 458. Let y = q - -334. Let b = 135 - y. Solve -j = -4*h + 5, 5*h = 4*j + b - 14 for j.
-5
Let y = 261 + -125. Let i = y + -122. Solve -n - 5*o - i = -0*n, 3*o + 14 = 5*n for n.
1
Let g(i) = 4*i**3 - 39*i**2 + 2*i - 107. Let y be g(10). Solve -4*j = 2*h - 3 + y, -2*j = -2*h + 14 for h.
3
Let m = 8 - 6. Suppose -44*b + 39 = -57*b. Let p be m*(-2 - b/1). Solve -4*j = s + 3, 4 = j + 2*j + p*s for j.
-2
Suppose -3*a + 2*a = -45. Let v be (-7 - 13)/((-14 - -3) + 7). Solve -h - 5 = 0, 0 = -4*o - v*h - a + 16 for o.
-1
Suppose -57*o + 53*o - g + 34 = 0, 2*o + g = 18. Solve 5*t + 32 - o = -p, -36 = 5*p + 4*t for p.
-4
Suppose -77 = -24*d + 115. Suppose t = 4*u - d, 0*t - u + 15 = 3*t. Solve 0 = j + t*c + 17, 3*j = c + 9 + 5 for j.
3
Suppose -617 + 567 = -25*i. Solve 0 = -5*y - 2*w + 35, -3*w + 30 = i*y + w for y.
5
Suppose -8 = 5*h + z - 28, -5*h + 2*z + 20 = 0. Solve -3*p = -h*p + 4*u + 12, 0 = 2*p - 3*u - 9 for p.
0
Suppose 0 = 8*z - z - 7. Let i(g) = g**3 - 4*g**2 - 6*g + 7. Let v be i(5). Let f = 11 + -11. Solve -t + 3*t = 3*l - z, f = v*l - t - 1 for l.
1
Suppose 0 = -3*u + 2*o - 26 + 10, -4*u - 23 = -3*o. Let z be (-4)/u + (-40 - -46). Solve -y = -2*t - z, -2 + 17 = -3*t for y.
-2
Let d = -94 + 83. Let u be (-2)/d + 16116/(-187). Let | {
"pile_set_name": "DM Mathematics"
} |
by 13.
7
Let m be -14 - (2/(-7) + (-2)/(-7)). Let s(u) = u**3 + 15*u**2 + 12*u - 2. What is the remainder when 89 is divided by s(m)?
11
Let w = -37 - 75. What is the remainder when 14 is divided by (-42)/w - 45/(-8)?
2
Let y(k) be the first derivative of -15/2*k**2 + 12 + 6*k. Calculate the remainder when y(-7) is divided by 23.
19
Let g(t) = 140*t + 540. Let x be g(-10). Let q = -783 - x. Suppose 3*r - 26 = 37. What is the remainder when q is divided by r?
14
Suppose 5*u = -2*y + 349, 2*u - 529 = 2*y - 5*y. Suppose -y = -5*f + 3*m, -3*f = -8*f - 3*m + 153. What is the remainder when f is divided by 4?
1
Calculate the remainder when 2 - (-1341)/9 - (-2 - 0) is divided by 32.
25
Let x(r) = 5*r**3 - 4*r**2 + 10*r - 7. Let m(b) = -3*b**2 + 15*b - 9. Let y be m(4). Let k = -12 + 43. What is the remainder when x(y) is divided by k?
29
Suppose 0 = -8*b - 89 + 449. Suppose -83 = -8*c + b. Calculate the remainder when 30 is divided by c.
14
Suppose -701 = -2*q + 5*g, 633 = 3*q - 5*g - 426. What is the remainder when 1753 is divided by q?
321
Let p(k) = 24*k**2 - 14*k - 12. Let f(a) = -a**2 - a - 2. Let o(n) = f(n) + p(n). What is the remainder when 88 is divided by o(-1)?
16
Suppose -6*b - 75 = -9*b - f, -15*b + 5*f = -315. What is the remainder when 398 is divided by b?
7
Suppose 0 = -49*j + 37*j + 36. Suppose 0 = -r - r + i + 129, -i - 194 = -j*r. What is the remainder when r is divided by 23?
19
What is the remainder when ((-12)/(-66) - 0)/(-1) + (-127450)/(-22) is divided by 28?
25
Suppose 3*h - 13 - 11 = 3*l, -2*h = -4*l - 32. Let k be 1/(-4) - (-14)/l. What is the remainder when (7 + -5)*(-25)/k is divided by 7?
4
Suppose 2*d - 3 = f, 0*f - 5*d + 5 = -3*f. Suppose 0 = f*g - 1093 + 508. Calculate the remainder when g is divided by 41.
35
Let k(l) = l**3 + 10*l**2 - 132*l - 520. Calculate the remainder when k(-16) is divided by 9*(0 + (-4)/(-6)).
2
Let k(m) = 63*m - 211. Suppose -76*w = -77*w + 10. Calculate the remainder when k(w) is divided by 84.
83
Suppose -158 - 208 = -9*i - 24. What is the remainder when 371 is divided by i?
29
Suppose 0 = 2*c + 45 + 133. What is the remainder when 59 is divided by c/(-5) - 14/(-315)*-18?
8
Suppose -3*k = -4*k + 149. Calculate the remainder when k is divided by (-8)/360*-10 - (-7)/(378/312).
5
What is the remainder when 2014 is divided by 2*(675/18 + 3)?
70
Let m(v) = -101*v + 2807. Calculate the remainder when 1308 is divided by m(27).
28
Suppose 0 = -4*d + 5*g + 70 + 1101, -4*d - 3*g = -1179. Calculate the remainder when 299 is divided by d.
5
Suppose 0 = 2*z - 3*p - 153, -396*z + 393*z + 4*p + 231 = 0. What is the remainder when 578 is divided by z?
11
Calculate the remainder when (-8)/(-18) - 578221/(-1017) is divided by 45.
29
Let b(v) = -51*v**2 + 362*v + 7. What is the remainder when 2911 is divided by b(7)?
13
Let m be (-165)/(-22)*(-34)/3. Let a = 91 + m. Suppose -12 = -3*k, -6*x + x + 3*k + 73 = 0. What is the remainder when x is divided by a?
5
Suppose 5*v - 2*q + 1008 = 15810, 3*v - 8875 = -5*q. Suppose 24*h - v + 1064 = 0. What is the remainder when 313 is divided by h?
76
Let z = -55 - -159. Let a(n) = -n**3 - 69*n**2 - 258*n + 185. Calculate the remainder when z is divided by a(-65).
49
Let t = 105 + -347. Let k = -202 - t. Calculate the remainder when 114 is divided by k.
34
Let q = 3975 - 3841. What is the remainder when 407 is divided by q?
5
Suppose 38*i - 7657 = 1349. What is the remainder when 7108 is divided by i?
235
Let b(n) = -2*n**3 - 25*n**2 + 22*n + 180. Calculate the remainder when 13353 is divided by b(-13).
60
Suppose -2*h + 99 = -h + 3*y, -3*y = -12. Let w = 749 + -999. What is the remainder when h is divided by (-96)/(-20)*w/(-40)?
27
Let z(x) = -11*x**2 - 93*x + 138. What is the remainder when 3377 is divided by z(-8)?
173
Let w = 289 + -169. Let l = w + -15. Calculate the remainder when l is divided by 6.
3
Suppose 0 = -d + 3*d - 24. Suppose 15*w - 20 = d*w + 5*h, 5*h = -2*w + 55. Calculate the remainder when 117 is divided by w.
12
Let w = 1030 - 862. What is the remainder when w is divided by 30?
18
Let d = -16577 + 16887. Calculate the remainder when d is divided by 294.
16
Let a be (-1981)/(-35) + 2/5. Suppose 2*g - 75 = a. What is the remainder when g is divided by ((-1610)/(-42))/((-15)/(-9))?
20
Let r(a) = 3*a**2 + 7*a - 7. Suppose 1033 = 13*u + 383. Suppose -5*h + u = -4*o, -2*o = 3*h + 2*o - 30. What is the remainder when r(-6) is divided by h?
9
Let f(y) = -4*y**3 + 0*y + 3*y**3 + 17*y**2 + 6 + 8*y + 0*y. Calculate the remainder when f(17) is divided by 29.
26
Suppose 30*m - 4599 = 16581. Calculate the remainder when m is divided by 145.
126
Let s = 51 + -46. Suppose s*a + 25 = 4*m, 4*m - 3*a - 24 = a. Suppose -8*c = -m*c - 24. Calculate the remainder when 28 is divided by c.
4
Let q be (80/(-15))/(-4)*39. Suppose 2*c = -18 + q. Let g(x) = x**2 + 5*x - 92. Calculate the remainder when g(-16) is divided by c.
16
Let l = -68 - -92. Suppose -11*t = -l - 42. Suppose -t*o + 170 = 4*o. Calculate the remainder when 26 is divided by o.
9
Let m be 829/3 - ((-40)/(-30) - 1). Suppose -5*p + m = 7*p. Calculate the remainder when 804 is divided by p.
22
Let g(v) be the first derivative of -v**3/3 + 25*v**2/2 - 65*v + 85. Calculate the remainder when 67 is divided by g(21).
10
Suppose 2*h = 3*z + 50247, -5*h - 735*z + 125600 = -740*z. Calculate the remainder when h is divided by 52.
49
Suppose 6809 = 10*c - 2971. Suppose -10*i + 13*i = c. Calculate the remainder when i is divided by 22.
18
Let k = 2161 + -2097. Suppose 2*r - r = -2, -2*q - 4*r = -26. Calculate the remainder when k is divided by q.
13
Let d = 33 + -7. Let o = 163 + d. Let k = -965 + 1013. Calculate the remainder when o is divided by k.
45
Let w = -12449 + 12463. What is the remainder when 418 is divided by w?
12
Suppose n = 4*n + 12. Let h be n + 150/35 - 3387/21. Let i = 0 - h. What is the remainder when i is divided by 18?
17
Let g = 7200 + -6646. Calculate the remainder when g is divided by 16.
10
Let t(w) be the first derivative of 64*w**3/3 - 3*w**2/2 - 2*w - 16. What is the remainder when t(-1) is divided by 6?
5
Suppose -6*h = -b - 2*h - 342, 0 = -2*b + 5*h - 693. Let q = -347 - b. What is the remainder when (-3 - (-2 - -1)) + 19 is divided by q?
3
Let f be 14/7 - (-2 - 1). Let x = 21 - 2. Let t = f + x. Calculate the remainder when t is divided by 10.
4
Let h(n) be the second derivative of n**4/12 + 7*n**3/6 + 7*n**2 + 29*n. Let p = 26 - 11. What is the remainder when p is divided by h(-5)?
3
Let n be (-560)/91 - (22/26 + -1). Let a(s) = 3*s**2 + 8*s + 59. Calculate the remainder when a(n) is divided by 24.
23
Let d = 265 - 178. Suppose d*r = 94*r - 42. What is the remainder when 21 is divided by r?
3
Suppose -3341 = -44*s + 14567. What is the remainder when s is divided by 7?
1
Suppose -80*s = 20*s - 12700. What is the remainder when 181 is divided by s?
54
What is the remainder when 160 is divided by ((-4)/10 - (-3 - 2440/100)) + 2?
15
Suppose -12*n + 2141 = 1577. What is the remainder when 416 is divided by n?
40
Let i(m) = 8*m**2 - 269*m - 8699. What is the remainder when i(-37) is divided by 55?
51
Calculate the remainder when (-2)/(-16) - -1090*133/304 is divided by 28.
1
Let x(h) be the second derivative of 21*h**3/2 - 169*h**2/2 + 99*h. Calculate the remainder when x(4) is divided by 7.
6
Suppose 589806 = -1652*q + 5558*q. What is the remainder when q is divided by (1 + -3)/(1/(-25))?
1
Let o(r) = 3*r. Let w(i) = -14*i. Let d(u) = -21*o(u) - 4*w(u). Calculate the remainder when (2/(-8))/1 + (-770)/(-40) is divided by d(-1).
5
Let r = 13551 - 13494. Calculate the remainder when 748 is divided by r.
7
Let b(o) = 809*o - 730. What is the remainder when 1743 is divided by b(1)?
5
Suppose -5*d + 4*y + 112 = 0, 1028*d - 1024*d = -2*y + 126. Let j = -121 + 221. Calculate the remainder when j is divided by d.
16
Suppose -5 + 12 = h. Suppose -h = -c + 6. What is the remainder when 128 is divided by c?
11
Let v = -2200 + 2699. What is the remainder when v is divided by 40?
19
Suppose 0 = 10*f - 4*f - 42. Suppose -4*b - 164 = -4*o, f*o + b - 76 = 5*o. Calculate the remainder when 73 is divided by o.
34
Suppose -928*d = -922*d - 114. Calculate the remainder when 538 is divided by d.
6
Let t(x) = 25*x | {
"pile_set_name": "DM Mathematics"
} |
the greatest common divisor of x and 2265.
15
Let j(t) = t**2 - 63*t + 1007. Let k be j(32). What is the highest common factor of 1185 and k?
15
Suppose n + 672 = 15*n. Calculate the greatest common divisor of n and 112.
16
Let m(h) = 613*h**2 - h. Let d be m(1). What is the greatest common factor of 12 and d?
12
Let i be (-5 - 0)/((-3)/(-99)). Let r = i + 235. What is the greatest common divisor of r and 175?
35
Let m(y) = -y**2 + 6*y - 2. Let f be m(3). Let z = -2 + f. Suppose -23 + z = -a. What is the highest common divisor of a and 90?
18
Let d = -756 + 856. What is the highest common factor of 450 and d?
50
Let m be 6/4*(2 + (-280)/(-6)). Suppose 0*x + m = 3*x + 5*t, 5*t = 25. Calculate the greatest common factor of 12 and x.
4
Let m(t) = -66*t + 2. Suppose -k - 8 = -5*k. Suppose -k*d + 5*i = -1 + 3, 5 = -5*d + i. Let n be m(d). What is the highest common divisor of n and 17?
17
Let b be (-23)/((4/(-10))/(728/70)). What is the greatest common divisor of 46 and b?
46
Suppose 5*f - 5*x = 145, -109 = -4*f - 4*x + x. Calculate the greatest common factor of f and 119.
7
Let i(b) = 2*b**3 - b**2 - 4*b - 4. Let o(y) = y**3 + y**2 - y - 1. Let h(m) = i(m) - 3*o(m). Let g be h(-4). What is the highest common factor of g and 3?
3
Suppose g = -4*j + 342, -4*j + g + 31 + 315 = 0. Calculate the greatest common divisor of j and 473.
43
Suppose -19*j + 24 = -13*j. What is the greatest common divisor of j and 116?
4
Suppose 2*u + u = -4*p + 51, u + 40 = 5*p. What is the greatest common divisor of 45 and p?
9
Let o = 105 - -1111. What is the greatest common divisor of 76 and o?
76
Suppose -117*i = -95*i - 880. What is the highest common divisor of i and 36?
4
Let c = -885 - -906. Calculate the greatest common divisor of 57 and c.
3
Let g(b) = b**2 + 12*b - 11. Let u be g(-11). Let v = u + 28. Let f be (-4)/5*(-1 - 29). What is the greatest common factor of v and f?
6
Let z be 16270/55 + 5 + 106/(-22). What is the highest common factor of z and 185?
37
Let f be -2*((-65)/(-39) - (-1978)/(-6)). Calculate the greatest common divisor of f and 32.
16
Suppose 60*r - 543 = -9*r + 1251. Suppose 2*p - 6*p + 416 = 0. Calculate the greatest common divisor of p and r.
26
Let b(s) = 199*s**2 + 2*s - 3. Let f be b(1). What is the greatest common divisor of f and 72?
18
Let g(f) be the third derivative of -f**4/6 + f**3/6 + 6*f**2. Let z be g(-6). Suppose -6*a - 825 = -9*a. Calculate the greatest common factor of a and z.
25
Let y = -244 - -322. Calculate the greatest common divisor of y and 195.
39
Let m(v) = -3*v**2 + 4*v**2 - 9 - 1 + 0*v**2 - 2*v. Let k be m(-10). Suppose 4*s + 3 - 91 = 0. What is the highest common divisor of s and k?
22
Let p = -65 + 40. Let l be p - (-3 + (-12)/(-3)). Let r be (l + 2)*(-14)/21. What is the greatest common factor of r and 16?
16
Let s be 29 + 326 - 1*2. Let f(o) = 11*o**2 - 3*o + 3. Let q be f(-4). Let t = s - q. Calculate the highest common factor of t and 18.
18
Let m = -12 - -20. Let w(r) = -2*r**2 + 2*r. Let f(h) = 5*h**2 - 3*h. Let c(y) = 4*f(y) + 7*w(y). Let p be c(-4). What is the greatest common factor of p and m?
8
Let w be ((-1)/3)/(1/33). Let p be 72/(-16)*(-1 + w). Calculate the highest common divisor of 27 and p.
27
Suppose a + 4*r = 68, 3*r - 6*r - 68 = -a. Calculate the highest common divisor of 51 and a.
17
Suppose -2*v + 4239 - 1723 = 0. What is the highest common divisor of 74 and v?
74
Let a = 141 - 76. Suppose 5*y - a = -3*i, -3*y + 52 = y + 4*i. Suppose -5*w = -3*w - 104. Calculate the greatest common factor of w and y.
13
Let z(k) = -12*k - 1. Let u be z(-6). Let d = 92 - u. Calculate the greatest common divisor of d and 126.
21
Suppose j - 1 - 10 = -3*v, 9 = 2*v - j. Calculate the greatest common divisor of 148 and v.
4
Let f be (-132)/(-8)*6*4/6. Suppose f + 156 = x. What is the greatest common factor of x and 37?
37
Suppose -36 = -2*t + 2*r, t - 3*r - r = 18. Suppose -5*o + 1132 = g + 324, 0 = -3*o - 4*g + 478. Calculate the greatest common factor of o and t.
18
Suppose 35 = 4*w - 13. Suppose 8*k - 1440 = -7*k. What is the highest common factor of k and w?
12
Let h = -10278 + 10281. Let j be -8*(18/(-4))/3. Calculate the highest common divisor of h and j.
3
Suppose h + 759 = 2*y, -2*y + 744 = -0*y + 4*h. What is the highest common divisor of y and 42?
42
Let x = 18 + 8. Let m be 2/4*(17 - 17). Let p = m + 13. Calculate the highest common divisor of x and p.
13
Let m = 2 - -9. Let k be m*4*14/28. What is the highest common divisor of 2 and k?
2
Suppose 129 = 5*m - 4*u, 34*u - 2 = 36*u. Calculate the highest common divisor of m and 200.
25
Let v = 52 - 50. Suppose t + 4*n = 73, -n = -v*t + 52 + 112. Calculate the greatest common divisor of t and 54.
27
Let y be (-4 + (19 - 9))*2/6. What is the greatest common factor of 21 and y?
1
Suppose 7*d - 9*d + 508 = 4*g, d - 4*g - 272 = 0. What is the highest common factor of d and 715?
65
Let j = -213 - -390. What is the greatest common factor of 649 and j?
59
Let b = -4 + 12. Let p = -224 + 225. What is the highest common factor of b and p?
1
Let b = -75 + 97. What is the greatest common divisor of 121 and b?
11
Let s(o) be the third derivative of -23*o**6/10 - o**5/20 - o**4/12 - 26*o**2. Let l be s(-1). What is the highest common factor of l and 11?
11
Suppose d - 15*b = -11*b + 10, 3*b + 75 = 3*d. Calculate the highest common factor of 20 and d.
10
Suppose -g = -z - 9, -4*g - 64 + 9 = 3*z. Let f = z - -19. Suppose 13*h - 99 = -21. Calculate the greatest common divisor of f and h.
6
Let a = -78 - -78. Suppose -2*p = 3*i - 144, -4*p - 3*i + 75 + 201 = a. Calculate the highest common factor of p and 6.
6
Suppose -3*l + 280 = 2*l. Suppose 7*y - 6*y + 8 = 0. Let i be (-26)/(-2) + (y - -9). Calculate the greatest common divisor of i and l.
14
Suppose -p + 5*j - 2 = 0, p - 3*p = -4*j + 4. Let y be (-6*2/(-18))/(p/(-27)). What is the greatest common factor of y and 2?
1
Let z = -33 + 110. Calculate the greatest common divisor of z and 7.
7
Let v = 6 - -20. Let y(q) = q**3 - 17*q**2 + q - 134. Let n be y(18). What is the highest common divisor of v and n?
26
Let u(h) = -h**2 + 9 + 6*h**2 - 4*h**2. Let f be u(3). What is the greatest common divisor of 54 and f?
18
Let l(z) = z + 7. Let f be l(-6). Let b be ((-4)/8)/((-4)/56). What is the greatest common factor of f and b?
1
Let u(g) = 26*g - 1. Let m be u(3). Let k = -38 + m. What is the highest common factor of 13 and k?
13
Suppose -8 = 2*z, 5*u - 4*z - 13 = 8*u. Let j be (-2)/(-4)*14/7*u. Calculate the highest common divisor of 25 and j.
1
Suppose 6*g - 2*g = 216. Let y(l) = 9*l - 5. Let h be y(12). Suppose 3*k = w + h, 3*w = k - w - 16. What is the highest common divisor of g and k?
18
Let j(q) = q**3 - 8*q**2 + 10*q - 19. Let f be j(8). Let n = 75 - f. Calculate the greatest common divisor of 7 and n.
7
Let h(y) = y**3 + 5*y**2 + 4. Let x be h(-5). Let m(g) = -x - g + 6*g - g**2 + g. Let q be m(3). Calculate the greatest common factor of 40 and q.
5
Let l(o) = -2*o + 2. Let g be l(1). Suppose -10 = -p - 0*j - 2*j, -j - 2 = g. Calculate the greatest common divisor of p and 126.
14
Let h(f) = -8*f - 29. Let p be h(-4). Suppose 0*w - p*w + 4*i + 10 = 0, -10 = -5*i. What is the highest common divisor of w and 24?
6
Let g = -2013 + 2679. What is the greatest common divisor of g and 37?
37
Let c(l) = 14*l - 8. Let v be c(4). Calculate the greatest common divisor of v and 64.
16
Let a(j) = -j**2 - 33*j - 9. Let t be 2*(-47)/4 - (-1)/(-2). Let w be a(t). Let n be (-1 - 22)/(1 - 2). What is the greatest common divisor of w and n?
23
Let z be (-4)/6*2946/(-4). Suppose 171 - z = -10*r. Calculate the greatest common divisor of r and 4.
4
Let k(t) = 3 + 13 - 6*t - 20. Let q be k(-1). What is the highest common factor of q and 18?
2
Suppose 0 = j + p + 2, p = -5*j - 0*p + 6. Suppose -j*y = -3*y. Let m = y - -2. What is the greatest common factor of m and 1?
1
Let a be (-17 + 1)*((-2500)/80)/25. Suppose 0 = 5*v - 2*m - 38 - 116, 4*v + 3*m = 114. What is the greatest common divisor of a and v?
10
Let x(i) = -10*i - 57. Let q be x(-7). Calculate the greatest common factor of 104 and q.
13
Let w(n) = n + 7. Let a be w(-3). Let j = -309 - -353. What is the highest common divisor of a and j?
4
Suppose -6 = -3*z, -18*z + 17*z + 702 = 4 | {
"pile_set_name": "DM Mathematics"
} |
ber?
False
Is 1372799 a composite number?
False
Is 817790527 prime?
True
Is 12500419 composite?
False
Is 425815487 a composite number?
False
Is 32734077 a composite number?
True
Is 20587579 a prime number?
False
Is 32116891 a prime number?
False
Is 9532381 a prime number?
False
Is 176849 a composite number?
False
Is 2733389 prime?
False
Is 1639706 a prime number?
False
Is 8440879 a composite number?
True
Is 82844231 prime?
False
Is 864659 a composite number?
True
Is 7239853 a prime number?
False
Is 71782049 a composite number?
False
Is 67602289 composite?
True
Is 75443 prime?
False
Is 15029347 a prime number?
True
Is 592897 composite?
False
Is 1099619 composite?
False
Is 36503323 a prime number?
False
Is 57282545 composite?
True
Is 1228837 a prime number?
True
Is 34256609 a prime number?
True
Is 35224907 composite?
False
Is 56011 a prime number?
False
Is 40597483 composite?
False
Is 1147297 a composite number?
False
Is 5363977 composite?
False
Is 5693185 composite?
True
Is 18954907 prime?
True
Is 1324187 prime?
True
Is 21611699 a composite number?
True
Is 51473999 a prime number?
True
Is 28034687 a composite number?
True
Is 4500401 composite?
False
Is 103042685 prime?
False
Is 186171439 prime?
False
Is 1305259 composite?
True
Is 880537699 prime?
True
Is 27582479 a prime number?
False
Is 10909231 a prime number?
True
Is 1479407 a composite number?
True
Is 34745863 composite?
True
Is 542407 composite?
True
Is 11643791 prime?
True
Is 158262257 prime?
True
Is 15377341 prime?
False
Is 4292131 prime?
False
Is 63807853 a prime number?
True
Is 31025143 a prime number?
True
Is 22308653 a composite number?
False
Is 64139 prime?
False
Is 65821993 a prime number?
False
Is 12300751 composite?
False
Is 90789187 a composite number?
True
Is 11706347 prime?
False
Is 312819007 composite?
False
Is 6193093 prime?
True
Is 288024701 a prime number?
True
Is 187743473 prime?
False
Is 905405 composite?
True
Is 31619 a composite number?
True
Is 107049551 prime?
False
Is 1550221 a prime number?
True
Is 116467811 composite?
False
Is 126702011 a prime number?
True
Is 6061421 a composite number?
False
Is 704426317 a composite number?
True
Is 21712819 composite?
False
Is 7722699 a composite number?
True
Is 15049499 a prime number?
True
Is 7650791 composite?
False
Is 3553601 composite?
False
Is 13725977 a composite number?
False
Is 6181223 composite?
False
Is 2750126 prime?
False
Is 1925269 composite?
True
Is 11586119 a composite number?
False
Is 24914614 a composite number?
True
Is 17289611 a composite number?
False
Is 106036531 a composite number?
True
Is 225034799 prime?
False
Is 140136577 a prime number?
False
Is 16749367 a composite number?
False
Is 1317737 a prime number?
False
Is 268648647 a prime number?
False
Is 993511 prime?
False
Is 9230867 a composite number?
False
Is 34114363 a composite number?
False
Is 30885178 a composite number?
True
Is 5033677 a composite number?
True
Is 182659181 composite?
False
Is 1355831 prime?
True
Is 387223 composite?
True
Is 545663 prime?
True
Is 5821637 composite?
False
Is 9603199 composite?
True
Is 61566157 prime?
True
Is 2854763 composite?
False
Is 394123 prime?
True
Is 12208181 prime?
False
Is 206355557 prime?
True
Is 13775557 a composite number?
True
Is 837569 prime?
False
Is 294719611 composite?
True
Is 3533567 a composite number?
True
Is 8898391 prime?
True
Is 32288413 a composite number?
False
Is 357047 a composite number?
False
Is 6543919 a prime number?
False
Is 6315359 prime?
False
Is 858167 a composite number?
False
Is 139989121 a composite number?
False
Is 73301041 composite?
True
Is 28928455 a composite number?
True
Is 74058389 prime?
True
Is 215878363 a composite number?
False
Is 103825877 a prime number?
False
Is 15110177 prime?
False
Is 3114737 a prime number?
False
Is 1461197 composite?
True
Is 18310823 composite?
False
Is 11740967 a composite number?
True
Is 14143511 a composite number?
True
Is 12576757 composite?
False
Is 132433283 prime?
True
Is 494820763 a composite number?
False
Is 262084627 a prime number?
False
Is 31962607 a composite number?
False
Is 59038207 prime?
True
Is 4592387 prime?
False
Is 530981 a composite number?
True
Is 30321887 composite?
False
Is 86461463 a composite number?
True
Is 421955119 prime?
True
Is 51047929 a prime number?
True
Is 6963179 a prime number?
True
Is 1872781 a prime number?
False
Is 289907 prime?
False
Is 3738091 a prime number?
False
Is 11987245 composite?
True
Is 6406051 a composite number?
False
Is 112295501 a prime number?
False
Is 91624523 a composite number?
False
Is 5963857 prime?
True
Is 12777041 prime?
True
Is 2385907 prime?
True
Is 908053 a prime number?
True
Is 51480911 a composite number?
False
Is 1034179 a composite number?
True
Is 2430061 prime?
True
Is 68867921 a composite number?
False
Is 36700913 a composite number?
True
Is 2157553 a composite number?
True
Is 9571547 composite?
False
Is 523314359 a composite number?
True
Is 48840709 composite?
False
Is 155117717 composite?
False
Is 1304789777 composite?
True
Is 4032947 a prime number?
True
Is 43012317 composite?
True
Is 206009 a prime number?
True
Is 1849949 composite?
True
Is 659453 a prime number?
True
Is 4921915 composite?
True
Is 8033779 composite?
True
Is 131723 prime?
False
Is 9856061 composite?
False
Is 1609909343 prime?
False
Is 55547 a prime number?
True
Is 701057 composite?
True
Is 20014721 composite?
False
Is 1475069 a composite number?
True
Is 624190837 a composite number?
False
Is 2540843 a prime number?
False
Is 1816301 prime?
True
Is 18119 prime?
True
Is 17747 prime?
True
Is 57606515 composite?
True
Is 9381389 composite?
False
Is 14421737 a composite number?
True
Is 25868009 a prime number?
True
Is 11649809 prime?
True
Is 2042939 prime?
False
Is 1503637 a composite number?
False
Is 3673921 composite?
True
Is 28355461 a composite number?
False
Is 14140589 a composite number?
True
Is 259053 composite?
True
Is 240099235 prime?
False
Is 199054991 prime?
True
Is 939089 prime?
True
Is 60434917 prime?
True
Is 1200457 a composite number?
True
Is 430357 prime?
True
Is 79163723 prime?
False
Is 148839409 composite?
False
Is 414627971 a prime number?
False
Is 99759103 a composite number?
False
Is 28993043 a composite number?
False
Is 788119 prime?
False
Is 20178385 composite?
True
Is 36145183 prime?
True
Is 852937 a prime number?
True
Is 6269909 a prime number?
False
Is 1166233 composite?
True
Is 523037 composite?
True
Is 1219549 a composite number?
False
Is 795299 composite?
False
Is 7105577 composite?
True
Is 4272577 a composite number?
True
Is 4794523 a composite number?
False
Is 765386 a prime number?
False
Is 577781 composite?
False
Is 1765763 a prime number?
False
Is 7014347 composite?
False
Is 15799451 a composite number?
False
Is 1203257 prime?
False
Is 344017 a composite number?
False
Is 55383667 prime?
True
Is 1895861 a prime number?
False
Is 613141 a prime number?
True
Is 195907 prime?
True
Is 1336667 a composite number?
True
Is 7552301 composite?
True
Is 528783 a composite number?
True
Is 965881 a prime number?
False
Is 8589733 prime?
True
Is 110748223 prime?
True
Is 15685219 a composite number?
True
Is 343716557 prime?
False
Is 9093871 a prime number?
True
Is 8609767 prime?
False
Is 5381119 prime?
False
Is 32207338 a prime number?
False
Is 450611 a prime number?
False
Is 4428607 prime?
True
Is 2275699 prime?
False
Is 4112941 a prime number?
False
Is 2909153 a prime number?
False
Is 3538459 a composite number?
True
Is 3698755 composite?
True
Is 1249319 a prime number?
True
Is 9806729 a prime number?
True
Is 317650409 composite?
False
Is 1265816977 prime?
True
Is 289627237 composite?
False
Is 25364137 a prime number?
True
Is 9135887 composite?
True
Is 36405697 a prime number?
False
Is 89378519 a composite number?
False
Is 240995831 a prime number?
True
Is 3960367 composite?
False
Is 367871089 prime?
False
Is 93130523 composite?
False
Is 88993613 a composite number?
False
Is 2225729 composite?
True
Is 31091 a prime number?
True
Is 4873859 a prime number?
True
Is 8696837 prime?
True
Is 35330377 a composite number?
False
Is 24886157 a prime number?
False
Is 98400271 composite?
False
Is 9418207 a composite number?
True
Is 447541 a prime number?
True
Is 142892083 composite?
False
Is 724303829 | {
"pile_set_name": "DM Mathematics"
} |
s the tens digit of 738833?
3
What is the units digit of 903816?
6
What is the hundreds digit of 343558?
5
What is the units digit of 6850279?
9
What is the tens digit of 444762?
6
What is the hundreds digit of 1816685?
6
What is the ten thousands digit of 2839947?
3
What is the hundred thousands digit of 1106480?
1
What is the ten thousands digit of 116010?
1
What is the hundreds digit of 487887?
8
What is the thousands digit of 705860?
5
What is the ten thousands digit of 5314677?
1
What is the hundreds digit of 41013912?
9
What is the hundred thousands digit of 358545?
3
What is the units digit of 4327504?
4
What is the units digit of 693496?
6
What is the ten thousands digit of 14867764?
6
What is the tens digit of 14599912?
1
What is the thousands digit of 24558291?
8
What is the hundred thousands digit of 346763?
3
What is the thousands digit of 2049955?
9
What is the ten millions digit of 17379806?
1
What is the tens digit of 71882?
8
What is the hundreds digit of 481383?
3
What is the hundred thousands digit of 178100?
1
What is the thousands digit of 54702?
4
What is the tens digit of 33524?
2
What is the thousands digit of 119273?
9
What is the ten thousands digit of 3436657?
3
What is the tens digit of 4009869?
6
What is the units digit of 670000?
0
What is the thousands digit of 11554?
1
What is the ten millions digit of 21192967?
2
What is the ten millions digit of 13480770?
1
What is the ten thousands digit of 10798412?
9
What is the units digit of 52045?
5
What is the millions digit of 6814651?
6
What is the millions digit of 2708651?
2
What is the ten thousands digit of 310162?
1
What is the hundreds digit of 218562?
5
What is the units digit of 11069214?
4
What is the hundred thousands digit of 532392?
5
What is the hundred thousands digit of 654368?
6
What is the ten thousands digit of 2135819?
3
What is the units digit of 635174?
4
What is the units digit of 810204?
4
What is the hundred thousands digit of 549621?
5
What is the millions digit of 43566715?
3
What is the hundreds digit of 759463?
4
What is the millions digit of 1562451?
1
What is the hundred thousands digit of 518909?
5
What is the hundreds digit of 5208351?
3
What is the hundred thousands digit of 433981?
4
What is the ten thousands digit of 175518?
7
What is the millions digit of 2454026?
2
What is the thousands digit of 21785070?
5
What is the ten thousands digit of 1020385?
2
What is the tens digit of 312961?
6
What is the tens digit of 339237?
3
What is the hundred thousands digit of 216492?
2
What is the units digit of 657176?
6
What is the hundred thousands digit of 2057594?
0
What is the units digit of 192171?
1
What is the tens digit of 794631?
3
What is the millions digit of 9641523?
9
What is the ten thousands digit of 407764?
0
What is the ten thousands digit of 297965?
9
What is the thousands digit of 1130274?
0
What is the ten thousands digit of 651748?
5
What is the units digit of 838465?
5
What is the hundreds digit of 2232103?
1
What is the tens digit of 4938018?
1
What is the thousands digit of 9927800?
7
What is the hundreds digit of 162821?
8
What is the tens digit of 1553667?
6
What is the thousands digit of 878004?
8
What is the tens digit of 203937?
3
What is the millions digit of 1623296?
1
What is the thousands digit of 575191?
5
What is the units digit of 17009?
9
What is the tens digit of 1652322?
2
What is the ten thousands digit of 642179?
4
What is the thousands digit of 134597?
4
What is the tens digit of 2744873?
7
What is the ten thousands digit of 267451?
6
What is the millions digit of 5420516?
5
What is the thousands digit of 3569231?
9
What is the millions digit of 6882082?
6
What is the units digit of 7914385?
5
What is the hundreds digit of 732451?
4
What is the thousands digit of 284202?
4
What is the hundred thousands digit of 4416411?
4
What is the ten millions digit of 32294306?
3
What is the ten thousands digit of 114781?
1
What is the millions digit of 14666755?
4
What is the ten millions digit of 14708661?
1
What is the tens digit of 23922079?
7
What is the thousands digit of 84302?
4
What is the hundred thousands digit of 450356?
4
What is the tens digit of 2028419?
1
What is the ten thousands digit of 378066?
7
What is the tens digit of 851385?
8
What is the hundred thousands digit of 229020?
2
What is the units digit of 10703233?
3
What is the hundreds digit of 409?
4
What is the hundred thousands digit of 953315?
9
What is the units digit of 992072?
2
What is the ten thousands digit of 3839504?
3
What is the tens digit of 1513039?
3
What is the hundred thousands digit of 302217?
3
What is the thousands digit of 688826?
8
What is the units digit of 1191098?
8
What is the ten thousands digit of 752700?
5
What is the thousands digit of 4209598?
9
What is the units digit of 363655?
5
What is the units digit of 2897872?
2
What is the hundreds digit of 219534?
5
What is the tens digit of 7736126?
2
What is the tens digit of 1176349?
4
What is the hundred thousands digit of 3596678?
5
What is the thousands digit of 237251?
7
What is the units digit of 280080?
0
What is the thousands digit of 33834?
3
What is the millions digit of 4064069?
4
What is the units digit of 2448462?
2
What is the thousands digit of 347251?
7
What is the units digit of 2989208?
8
What is the ten thousands digit of 2181291?
8
What is the tens digit of 3070840?
4
What is the hundred thousands digit of 238827?
2
What is the hundreds digit of 506924?
9
What is the ten millions digit of 16664215?
1
What is the tens digit of 3291065?
6
What is the ten thousands digit of 67116?
6
What is the units digit of 531633?
3
What is the tens digit of 5575196?
9
What is the hundreds digit of 369328?
3
What is the thousands digit of 3408962?
8
What is the ten thousands digit of 180242?
8
What is the hundred thousands digit of 13402735?
4
What is the thousands digit of 61720?
1
What is the millions digit of 7024989?
7
What is the hundreds digit of 1058632?
6
What is the units digit of 95184?
4
What is the hundreds digit of 21946775?
7
What is the tens digit of 285783?
8
What is the millions digit of 6526032?
6
What is the tens digit of 159805?
0
What is the units digit of 166667?
7
What is the millions digit of 3710731?
3
What is the hundreds digit of 673022?
0
What is the units digit of 556593?
3
What is the thousands digit of 672888?
2
What is the tens digit of 2650454?
5
What is the ten thousands digit of 15264966?
6
What is the millions digit of 2071933?
2
What is the units digit of 433770?
0
What is the millions digit of 7277295?
7
What is the ten thousands digit of 537635?
3
What is the ten thousands digit of 1171897?
7
What is the units digit of 2637223?
3
What is the ten thousands digit of 1272079?
7
What is the hundreds digit of 2054963?
9
What is the ten thousands digit of 1358245?
5
What is the hundred thousands digit of 518331?
5
What is the hundred thousands digit of 546877?
5
What is the tens digit of 230978?
7
What is the units digit of 2638270?
0
What is the hundreds digit of 585039?
0
What is the hundreds digit of 140377?
3
What is the thousands digit of 1382103?
2
What is the hundreds digit of 3040172?
1
What is the hundred thousands digit of 1440723?
4
What is the millions digit of 6093965?
6
What is the thousands digit of 69854?
9
What is the hundred thousands digit of 9497779?
4
What is the millions digit of 1309113?
1
What is the ten thousands digit of 31491?
3
What is the hundreds digit of 1525563?
5
What is the tens digit of 6691174?
7
What is the thousands digit of 69073?
9
What is the units digit of 2660180?
0
What is the tens digit of 1466158?
5
What is the tens digit of 8701?
0
What is the thousands digit of 411465?
1
What is the tens digit of 2120244?
4
What is the thousands digit of 252152?
2
What is the tens digit of 4525090?
9
What is the thousands digit of 643004?
3
What is the hundreds digit of 90463?
4
What is the hundreds digit of 346517?
5
What is the thousands digit of 6560671?
0
What is the millions digit of 1804284?
1
What is the tens digit of 59491?
9
What is the millions digit of 12914908?
2
What is the tens digit of 5646797?
9
What is the ten millions digit of 14246273?
1
What is the hundred thousands digit of 659 | {
"pile_set_name": "DM Mathematics"
} |
-3*o - 2*s + 904. Suppose 3*w + t - o = 2*t, -3*t - 3408 = -3*w. Is w a prime number?
False
Suppose m = 2*l - 72, -36 = -3*l + 4*m + 82. Let h = -18 + l. Suppose 59 = z + h. Is z a composite number?
False
Let j(i) = 4610*i + 217. Is j(24) prime?
False
Let i be 26 + (4 - (4 - -4)). Suppose -240 = -2*x + i. Is x prime?
True
Let v = -60 - -63. Suppose -2226 = -j + 5*b, -v*b = j + 408 - 2674. Is j composite?
False
Is (377/(-26) + 15)*(3627 - -1) a prime number?
False
Let u(i) = -4*i + 177. Is u(39) a composite number?
True
Let b(p) = 2*p + 58. Let i be b(-29). Suppose -3*v - 4*w + 121 = i, 0*w - 128 = -4*v + 3*w. Is v a prime number?
False
Let n = 26 + -20. Is 1341/n + 2/(-4) composite?
False
Let x(d) = -16*d - 1. Let w be x(-2). Let o be (-4)/(-1)*(-51)/(-3). Let s = o - w. Is s a composite number?
False
Let l = -10 + -8. Let a = -18 - l. Suppose a = 4*s - 3*s - 219. Is s a composite number?
True
Suppose 7*y = 11087 + 12426. Is y a prime number?
True
Let c(a) = 29*a**2 + 18*a + 6. Let y be c(-5). Let d = 1756 - y. Is d a composite number?
True
Let q(b) = -2*b**3 - 6 - 6*b**3 + 8*b**2 - 22*b + 9*b**3 + 8*b**2. Is q(-13) a composite number?
False
Suppose -6*o + z = -10*o + 7796, 2*o + 3*z - 3898 = 0. Is o a composite number?
False
Suppose -16 + 2 = 7*y. Let d(t) = -27*t**3 + 2*t - 1. Is d(y) composite?
False
Let l = 17 + -20. Let b(a) = -21*a**3 + 2*a**2 + 8*a + 4. Is b(l) a composite number?
True
Suppose 0 = 3*p - 15, 4053 = 5*x - 3*x + 5*p. Let r be 0 + 1 + (x - -8). Suppose -3*n - n = -12, 4*n + r = 5*s. Is s prime?
False
Suppose -8*f = -6*f - 4*y - 14310, 2*f - 14280 = -2*y. Is f composite?
True
Suppose 0 = 4*m + 19 - 23. Is ((-1)/m)/(15/(-2445)) composite?
False
Let o(z) = 261*z**3 + 1 - 2*z**2 + 0 + 6*z**2 - z. Let q(a) = 523*a**3 + 9*a**2 - 2*a + 2. Let d(l) = 7*o(l) - 3*q(l). Is d(1) a prime number?
False
Suppose -5*a + 29 = t, 18 = 3*a + 2*t + 2. Let y(z) = -32*z + 17. Let n(p) = -p + 1. Let i(q) = 6*n(q) - y(q). Is i(a) a prime number?
False
Suppose -2*d + 198 = 4*d. Suppose -31*s - 290 = -d*s. Is s a prime number?
False
Let j be 8/(2 - -2) - -3. Suppose j*h = 1271 + 3164. Is h a prime number?
True
Suppose -4*x + 0 = -20, -4*v = -2*x - 14. Let q be 2421/v + 12/(-8). Let u = q + 41. Is u composite?
False
Suppose -4*o + 3*f = -17, -3*o = -4*o - f + 13. Suppose -o*n = -5*n - 9. Suppose -n*q = -431 - 202. Is q composite?
False
Suppose -3*i = -i + m + 50, i + 2*m + 28 = 0. Is (-2)/(i/(-2031))*-4 composite?
False
Suppose -8*p = -7*p. Suppose -s + 4*s - 465 = p. Suppose 6*x = x + s. Is x a composite number?
False
Suppose -u - 18 = -69. Let g = u + -36. Suppose -18*k + 105 = -g*k. Is k prime?
False
Let k(i) = -6*i**3 - 8*i**2 + 2*i - 5. Let x = -16 + 10. Let a be k(x). Let c = a - 610. Is c a composite number?
True
Let l = 106 + -118. Is (-26)/12 - -2 - 5870/l composite?
True
Let i = 18490 - -5827. Is i prime?
True
Let w(m) = 4*m + 2. Let g be w(-10). Is g/(((-2)/(-22))/(2/(-4))) composite?
True
Let s = 6900 + -3241. Is s prime?
True
Let a be (-9 - -1)/(-4) - -262. Is (69/(-12))/((-6)/a) prime?
False
Let z be 1*(-1 + 3 + -139). Let l be 3955/15 - (-1)/3. Let n = z + l. Is n prime?
True
Suppose 2*w = 2*q + 8, 3*w + 4*q + 16 = -7. Let m be ((-25)/15)/(w/(-21)). Is (-9)/15 + (-3976)/m a composite number?
False
Let v(o) = 2*o**3 + 9*o**2 + 13*o + 9. Let p be v(-8). Let n be 2/5 - p/5. Suppose -n = -4*i + 3*i. Is i prime?
True
Let h be (-10)/30*(-6 + 0) + 6. Is -2*(1908/h)/(-9) a composite number?
False
Let q(l) = -603*l + 140. Is q(-5) a composite number?
True
Is 2/(-6) - (-3 - 7676/6) composite?
True
Let g(r) = 135*r**2 - 3*r - 19. Let x be g(5). Let l = 5698 - x. Is l composite?
False
Let b = 4706 + -1809. Is b composite?
False
Let q(v) = 21*v**2 - 14*v - 87. Is q(-16) a composite number?
True
Let h = -630 + 1339. Is h composite?
False
Let o = 10830 - -9119. Is o composite?
False
Suppose 2*w - 20711 = -f, -5*w + 8158 = 2*f - 33266. Is f composite?
False
Let f be 2 - (0 - 0/(-1)). Let r(g) = -g**2 + 6*g - 2. Let s be r(5). Suppose -5*u - 152 = -f*l, -350 + 100 = -s*l + 2*u. Is l a prime number?
False
Let v(u) = 2*u**2 - u - 3. Let r be v(3). Let g = -10 + r. Is ((-582)/(0 - 3))/g prime?
True
Suppose 4*a + 2610 = 13942. Is a composite?
False
Let f be (-1)/(4 + 243/(-61)). Let w be -2 + (f + 0 - 4). Is -2*(-2)/(-4)*w a prime number?
True
Suppose 2*u + z = -z - 58, -3*u = 2*z + 88. Let q be (-10766)/u + 10/75. Suppose 276 = a + 5*i - q, -2*a - 4*i = -1294. Is a prime?
False
Suppose 2*u - 7 = -2*n + 1, -4*u + 19 = 3*n. Suppose 5*m + 4714 = u*m. Is m a prime number?
True
Let x = 13389 + -8368. Is x composite?
False
Let l be 14/21 + (-4)/(-3). Suppose 4*w + 6*v - l*v = -352, 5*w + 420 = 5*v. Let i = w + 153. Is i prime?
True
Let l(k) = k. Let z(r) = -20*r + 2. Let u(m) = 3*l(m) + z(m). Suppose 0 = t + 19 - 12. Is u(t) a prime number?
False
Suppose 0*g - 3 = -g. Let u be 3/((2 - 0)/2). Suppose -g*i - t + 292 = 0, 4*i - 347 = -u*t + 44. Is i a composite number?
False
Let x(u) = -u + 2. Let n(r) = -2*r + 3. Let l(v) = 2*n(v) - 3*x(v). Let h(i) = 57*i - 5. Let g(c) = -h(c) + 6*l(c). Is g(-4) composite?
False
Let v(l) = -l**3 + l**2 + 2. Let h be v(0). Suppose -h*d = d. Suppose 4*i - i - 489 = d. Is i a prime number?
True
Is 6/2*(57066/9)/2 a prime number?
True
Let s(w) = 1387*w**2 + 6*w + 2. Is s(-5) a prime number?
False
Is ((-261380)/60)/((-1)/3) prime?
False
Suppose 2*i = 4*n - i + 27109, 4*n + 27114 = -2*i. Let b be n/(-6) - (-1)/3. Is b/(-10)*(0 + -1) prime?
True
Suppose -2*k = -3*k - 8. Let d = k - -3. Let n(r) = 11*r**2 + 8*r + 4. Is n(d) composite?
False
Let l = -46573 + 104692. Is l prime?
False
Is -1 + -10 + 5 + 5799 a prime number?
False
Let a(f) = 887*f - 165. Is a(28) prime?
True
Let n = 10577 - -4014. Is n prime?
True
Suppose 86588 = -6*g + 10*g. Is g composite?
False
Suppose 12 = -w + 4*w. Suppose w*p + 4*j + 752 = 0, 5*p - 4*p = -4*j - 200. Let f = p - -593. Is f a composite number?
False
Suppose -12*n = -3*n - 9. Is (12308/2 - n)*14/42 composite?
True
Let j be 7 - (1 + -4) - 2. Let n(w) = 160*w - 12. Let h be n(j). Suppose 4*u - h = -2*g - 238, 4*g = -4*u + 1024. Is u a composite number?
True
Suppose -5*y = 5*h - 15, 2*y = -4*h + 7*y + 3. Is (-278)/(-6) - (-3)/(h - 11) composite?
True
Is (10 + (-703 - 1))/(2/(-23)) prime?
False
Suppose -3*a - 2742 = -3*x, a - 929 = -x - a. Is x prime?
True
Suppose f = 5 - 1. Suppose f*u - p = -71, u + 0*u + 3*p + 21 = 0. Is (-2)/(4/u) - -1 prime?
False
Is 5 + -8*2/4 - -2745 a prime number?
False
Suppose 0 = 39*q - 42131 - 382774. Is q a composite number?
True
Let b = 25 - 12. Let w = b + -14. Let x(c) = -439*c**3 - c**2 - c. Is x(w) composite?
False
Let o(x) = -208*x + 397. Is o(-78) composite?
True
Let s(c) be the third derivative of c**4/2 - 11*c**3/6 + 5*c**2. Let g be s(7). Suppose d - g = 16. Is d prime?
True
Let s(g) = 52*g - 1. Let w = -5 + 4. Let j be s(w). Is j/((-1)/1*1) composite?
False
Suppose 28498 + 86187 = 5*w. Is w a prime number?
True
Let b(a) = a**2 - 13*a + 14. Let t be b(12). Let i(m) = 4*m + 2 + m**t + 2*m**2 + 3*m**2 - m**2. Is i(-2) prime?
False
Let u be -3 + 1 + 1 + 56. Suppose 2*t + 148 = -4*p, -2*p - 76 = t + t. Is (u/(-4))/(9/p) prime?
False
Suppose 0 = -5*i - 4*g + 27, 2*i - i + 2*g = 9. Is 1254 - -1 - 0/i prime?
False
Let n = -15 - -17. Let k(c) = 3*c**n + 8*c - 4 - 3 - c**3 + 6*c**2. Is k(8) composite?
True
Suppose -3*k - 4*c + 1017 = -2*c, 1029 = 3*k - 2*c. Suppose -o - k = -4*f, 5*f = 2*o - 244 + 671. Is f a prime number?
False
Let h(y) = -18*y**2 + 4*y - 3. Let m(s) = -17*s**2 + 5*s - 3. Let z(n) = -5*h(n) + 4*m(n). Is z(-2) prime?
False
Let u = -13 - -16. Let l be 51 - (12/u - 1). Suppose -7 = -5*x + l. Is x composite?
False
Is ((-12)/(-21))/(-1) - (-11499082)/98 a prime number?
False
Suppose 121241 = 38*j - 46301. Is j prime?
True
Let f(v) = 2*v**2 + 8*v + 9. Let z be f(-4). Suppose -388 = 5*o - z*o. Is o a composite number?
False
Suppose -3*b = -6*b + 60. Suppose b = 7*y - 2*y. Suppose -3*s - k + 36 = -y*k, 0 = s - 2*k - 13. Is s a prime number?
True
Let k(n) = n**2 - 6. Suppose -2*w = -3*s + 15, -2*w = 3*s + 2 - 5. Let j be k(w). Is (0 - j)/(12/(-88)) composite?
True
Suppose -t = -4*u + 46311, -6*t = -t - 25. Is u composite?
False
Suppose -39*x + 2*r + 49427 = -36*x, | {
"pile_set_name": "DM Mathematics"
} |
31. Give d(t).
20
Let z(l) be the third derivative of -l**6/120 + 11*l**5/60 - l**4/24 - 89*l**3/6 - 216*l**2 - 5*l + 1. Give z(10).
1
Let l be 4/(-14) - (-46)/14. Let s(u) be the second derivative of 1/2*u**3 + 4*u - 1/2*u**2 + 1. Give s(l).
8
Let w be ((-2)/(-6)*0 + 0)*14/98. Let r(o) = 4*o - 80. Give r(w).
-80
Let t(g) = -3534 + 3560 + 0*g + 11*g - 2*g**2. Determine t(9).
-37
Let p(o) = -3*o**2 + o - 1. Let d(r) = 15 + 2*r**2 - 12 + 5*r**2 - 2*r. Let s(y) = -d(y) - 2*p(y). Calculate s(1).
-2
Let i = 4549 + -4546. Let q(l) = -4*l + 10. Calculate q(i).
-2
Let u(s) be the first derivative of 1/360*s**6 + 1/24*s**5 + 0*s + 7/3*s**3 + 0*s**2 - 19 - 1/8*s**4. Let f(t) be the third derivative of u(t). What is f(-3)?
-9
Let x(p) = p**3 - p**2 - 4*p + 2. Let r be 6/3 + (1 - 3). Suppose r = 11*a - 6*a - 10. Let f be x(a). Let v(g) = 11*g - 2. What is v(f)?
-24
Let u(b) = -b**2 + b + 16. Let o be u(0). Let c be (-2)/(120/o - 7). Let y(n) = -n**3 - 5*n**2 - 5*n - 6. Determine y(c).
-2
Let c = 11 + 40. Let s = -35 + c. Let p be 1/2*(s - 2). Let r(l) = l - 3. Give r(p).
4
Let i(j) = 3 + 94*j - 49*j - 50*j. Let m(v) = -11*v + 7. Let k(o) = -13*i(o) + 6*m(o). Calculate k(4).
-1
Let j be 168/(-9)*(-96)/256 - (1 - -1). Let l(n) = n**2 + 12*n - 91. Give l(j).
-6
Let a be 0*((-260)/(-140))/13. Let d(m) be the third derivative of -7/60*m**5 + 0*m + 11*m**2 - 1/120*m**6 - 3/8*m**4 + a - 1/2*m**3. Determine d(-6).
15
Let x(m) be the third derivative of -m**5/60 + 5*m**4/24 - m**3/6 + m**2. Suppose 3*d - 11*b + 16*b = 22, -24 = -4*d - 4*b. What is x(d)?
3
Suppose 13*v - 11*v = 14. Let o = v - 16. Let b(m) = m + 6. Give b(o).
-3
Let i(x) = -x**2 + 5*x - 1. Let p be i(5). Let c be (1/(-4 + 5))/((-3)/(-843)). Let o(a) = -c*a**2 - 3*a**3 + 1 - 289*a**2 + 568*a**2. Give o(p).
2
Let t(u) be the third derivative of u**9/60480 + u**8/3360 - u**6/360 + 29*u**5/60 - 15*u**2. Let n(w) be the third derivative of t(w). What is n(-6)?
-2
Let o be 4/(-4)*-5*(-15)/(-25). Let k(n) = -7*n - 6*n - n**2 + 19*n + o. What is k(3)?
12
Let k(y) = -16*y + 25*y - 9*y**2 + 12*y**2 - 8*y**2 - 10*y. Calculate k(-1).
-4
Let x(n) = -16*n + 96. Let m be x(22). Let f = m - -261. Let b(o) = o**3 - 7*o**2 + 11*o - 6. What is b(f)?
-1
Let l(k) = 11*k**3 + k**2 + 2*k + 2. Let q(y) = -58*y**3 - 39*y**2 - 23*y - 19. Let h(z) = -5*l(z) - q(z). Determine h(-11).
-13
Let o(v) = -3*v**2 + 9*v. Let c(p) = -13*p**2 + 35*p + 1. Let s(q) = 2*c(q) - 9*o(q). Let f be (10 + 22/(-4)*2)/((-4)/20). What is s(f)?
-28
Let g(p) = p**2 - 7*p + 6. Let c(t) = -7*t. Let k(r) = -111*r. Let v(l) = 33*c(l) - 2*k(l). Let u be v(-2). Let n = u + -12. Determine g(n).
0
Let n(q) = q**3 - 7*q**2 + 4*q + 2. Let y be (7 - 11 - -3) + 6. Give n(y).
-28
Let g(b) = 21*b**2. Let n(x) be the third derivative of -x**6/120 + 2*x**5/5 - 3*x**4/4 - 19*x**3 + 7*x**2 + 19*x. Let a be n(23). What is g(a)?
21
Suppose 18*f - 290 + 393 + 383 = 0. Let r(l) = 2*l + 54. What is r(f)?
0
Let m(w) = 89*w**2 + 4*w - 49. Let y(k) = 19*k**2 + k - 10. Let h(r) = -3*m(r) + 14*y(r). Give h(6).
-17
Suppose -133*b = -129*b. Let s be (-7)/(35/20) - b/3. Let k(x) be the third derivative of -x**6/120 - x**5/15 - x**3/6 + 2*x**2. What is k(s)?
-1
Let i(x) = -x**3 + 5*x**2 - x. Let w be (0 + 3)*(-2)/(-6). Suppose 5*s = 3*z + 45, 4*z - 20*s = -24*s - 60. Let u be (-3)/w*25/z. What is i(u)?
-5
Let q(u) be the second derivative of 1/2*u**2 + 0 + 5/6*u**3 - 130*u. Calculate q(-1).
-4
Suppose 57*s = 29*s + 1736. Suppose 24 = s*o - 66*o. Let p(w) = w**2 + 3*w - 1. Calculate p(o).
17
Let d(o) = -5*o - 1. Let y be (3 - (5 + 0))*-1. Suppose 4*p = -0*t + 3*t - 11, -t = -y*p - 3. Give d(p).
-6
Let m(c) = 6*c**3 + 1 + 2*c**2 + 0*c**2 - 2*c + 4*c. Let q be ((-39)/2535*-13)/(2*(-1)/10). Calculate m(q).
-5
Let u(x) be the second derivative of 9*x**5/20 + x**4/6 + x**3/3 - x**2/2 + 7911*x. Calculate u(-2).
-69
Let q(v) = v**3 - 5*v**2 - 2*v + 10. Suppose 5*r = 2*g - 19, -3*r + 2*r = -2*g + 7. Let h be -12*16/(-24) + r. What is q(h)?
0
Suppose -4*k + q = -125, 2 = -5*q - 23. Let c = 3 + k. Suppose -z = 10*z - c. Let m(v) = -v**3 + 3*v**2 - v + 1. Determine m(z).
-2
Let o be 10/(40/(-12)) + 1*13. Suppose -5*x = -o, -3*l + 4*x + 20 = 2*x. Let t(u) = 22 - l - 3*u - 13. What is t(-1)?
4
Let j(t) = -8*t - 48. Let o(l) = 3*l + 21. Let s(m) = -2*j(m) - 5*o(m). What is s(26)?
17
Let g(z) be the third derivative of 101*z**2 + 5/3*z**3 + 0*z + 1/120*z**6 - 7/24*z**4 - 1/12*z**5 + 0. What is g(6)?
4
Let d = 12252 + -12253. Let m(o) be the first derivative of -5*o**2/2 + 2*o + 2. Give m(d).
7
Let z(i) = i**3 + 3*i**2 - 6*i - 10. Let g be z(-4). Let j be ((-6)/(-3))/((8/(-2))/g). Suppose 2*s = -3 + j. Let x(a) = -a**3 + 2*a**2 + 2*a + 1. What is x(s)?
2
Let s(m) = -m**3 - 7*m**2 + 10*m - 14. Suppose 2*u = -31*w + 34*w + 28, 0 = 3*u - 6. Calculate s(w).
-30
Let q(k) = k**3 + 19*k**2 - k - 27. Let g(o) = 73*o**3 + o**2 - 2*o. Let i be g(1). Suppose 376 - i = -16*w. Calculate q(w).
-8
Let z(i) = -i - 1 - 2 + 0*i. Let q(g) be the second derivative of 67*g**3/6 - 677*g**2/2 - 440*g. Let u be q(10). Determine z(u).
4
Let r(v) = -3*v + 9. Let t(f) = f**3 + 9*f**2 + 18*f + 76. Let m be t(-8). Give r(m).
21
Let c(f) = 33*f + 5*f + 389 + 18*f - 16*f + 4*f. Calculate c(-9).
-7
Let m(b) = 35*b - 1. Suppose 0 = -8*p + 183*p + 175. Determine m(p).
-36
Let r(g) = g**3 + 5*g**2 - 2*g - 12. Let o(f) = 2*f**3 + 10*f**2 - 3*f - 23. Let a(s) = -6*o(s) + 11*r(s). Let h(w) = -6*w - 10. Let d be h(-1). Calculate a(d).
6
Let h = 121 - 119. Let o(t) be the third derivative of -t**5/60 + t**4/6 - t**3 - 219*t**2. Calculate o(h).
-2
Let f(q) = 62*q - 59*q - 700 + 690. Determine f(1).
-7
Let d(y) = -23*y + 700. Let o be d(0). Let x = o - 696. Let s(a) = 5*a - 1. What is s(x)?
19
Let i be (-5)/(-2)*((-203)/(-35) + -5). Suppose -4*r + 28 = r - i*d, r - 4*d - 20 = 0. Let a(m) = -2*m - 4. Determine a(r).
-12
Let n(f) = 5 + 309*f**2 - 9*f - 678*f**2 + 370*f**2. Determine n(0).
5
Let o(b) = -5*b**2 + 33*b + 831. Let w be o(-10). Let u(l) = 4*l - 4. Give u(w).
0
Let p(s) = -19*s + 47. Let c(t) = -48*t + 98. Let z(b) = -2*c(b) + 5*p(b). Give z(-25).
14
Suppose 39458*i = 39424*i + 68. Let s(n) = -n**2 + 11*n - 13. Give s(i).
5
Let m = -10 - -42. Let o = m + -30. Let s(x) = -1 + o*x**3 - x + 19*x**2 - 19*x**2 + 0*x**3. Determine s(2).
13
Let l(m) = -m - 8. Let g be l(-10). Let k(o) = -15*o**2 - 1 - 2*o**2 - o + g*o**2. Suppose 0 = 5*h + 3*c - c - 1, -3 = -c. Calculate k(h).
-15
Let x(n) = 7*n + 5. Let u(r) = -28*r - 19. Let y be 93/31 + (-24)/(1 + 1). Let p(o) = y*x(o) - 2*u(o). Determine p(-5).
28
Let f be (-478)/13 + (-72)/312 + (-21)/3. Let n(r) = -10*r - 448. What is n(f)?
-8
Let u(i) be the first derivative of i**2 + 23*i + 4472. Determine u(-9).
5
Suppose y + 4 = -0, -4*v - y + 16 = 0. Suppose 0*c = -4*c + 2*t + 20, t = -2*c + 2. Let q(l) = -c*l**2 + 7*l - 188 + 2*l**2 + 193. Give q(v).
15
Let a(s) = -s**3 + 2*s + 4. Suppose 2*j + 5*j = 0. Let h be a(j). Let k(z) = 5*z. Let r(b) = -6*b. Let i(l) = -5*k(l) - 4*r(l). Determine i(h).
-4
Let r = -45 + 63. Suppose -4*t = -p - 15 + r, -3*p - 15 = 0. Let j(f) = 1. Let v(u) = 2*u - 4. Let z(w) = -2*j(w) - v(w). Give z(t).
6
Let i be (-1 - (-7)/3)/(76/114). Let w(a) be the third derivative of a**6/120 - a**5/30 - a**4/8 + a**3/6 + 97*a**2 - 3. What is w(i)?
-5
Let n = 97 + -91. Let i be (-14)/(-8) - ((-75)/12 + n). Let l(g) = -g + 9*g**i + 0*g + 1 - g + 4*g. Calculate l(-1).
8
Suppose 11 = 3*j - 3*o - 1, 3*j - 5*o - 16 = 0. Let l(b) = -4 + 4 + 2*b + 2 + j*b - 1. Determine l(5).
21
Let h(g) = g - 26 + 35 - 2*g**3 + g - 2*g**2 + 4*g**2. Let y(x) = 3*x**3 - 3*x**2 - 3*x - 17. Let w(t) = 5*h(t) + 3*y(t). Let l = -2 + 2. Determine w(l).
-6
Let j(p) = 2*p - 15. Suppose 3*h - 3*t + 16 = -8*t, -2*t - 4 = 2*h. Suppose -l = -0*r - r, -h*l + 5*r - 10 = 0. What is j(l)?
-5
Suppose -9*a + 7*a - 10 = -4*z, -z = -5*a - 16. Let r be (25 + -80)*z/(-5). Let f(c) = c**3 - 11*c**2 + 5*c - 5. Calculate f(r).
50
Let i(q) = 9*q + 10. Let y(p) = -17*p - 13. Let a(d) = 6*d + 5. Let g(c) = -7*a(c) - 2*y(c). Let f(v) = -3*g(v) - 2*i(v). Give f(-5).
-23
Let h(i) = -i**3 + 7*i**2 + i + 2. Let x be (-1*(6 + -4))/((-1)/4). Let d(o) = 16*o - 9*o - 1 + 17 - x*o. Let f be d(9). What is h(f)?
9
Let a(f) = -15*f**2 | {
"pile_set_name": "DM Mathematics"
} |
lculate the remainder when 279640 is divided by 207.
190
Calculate the remainder when 497 is divided by 105.
77
What is the remainder when 963 is divided by 337?
289
Calculate the remainder when 709623 is divided by 11.
2
Calculate the remainder when 8646 is divided by 720.
6
What is the remainder when 21566 is divided by 2633?
502
Calculate the remainder when 8907 is divided by 8891.
16
What is the remainder when 16829997 is divided by 16?
13
Calculate the remainder when 577 is divided by 272.
33
What is the remainder when 18962 is divided by 33?
20
What is the remainder when 6782 is divided by 19?
18
Calculate the remainder when 849 is divided by 43.
32
What is the remainder when 14548 is divided by 1447?
78
What is the remainder when 27326 is divided by 4552?
14
What is the remainder when 580669 is divided by 91?
89
Calculate the remainder when 8812 is divided by 327.
310
Calculate the remainder when 22734 is divided by 1523.
1412
What is the remainder when 2978 is divided by 61?
50
What is the remainder when 1567 is divided by 312?
7
Calculate the remainder when 160163 is divided by 562.
555
What is the remainder when 14675 is divided by 78?
11
Calculate the remainder when 370144 is divided by 318.
310
What is the remainder when 127113 is divided by 33?
30
What is the remainder when 6120 is divided by 244?
20
Calculate the remainder when 19122 is divided by 336.
306
What is the remainder when 3735 is divided by 1859?
17
Calculate the remainder when 25200 is divided by 8383.
51
Calculate the remainder when 6533 is divided by 647.
63
What is the remainder when 75168 is divided by 655?
498
What is the remainder when 155367 is divided by 2547?
0
Calculate the remainder when 13797 is divided by 96.
69
Calculate the remainder when 5359 is divided by 2588.
183
What is the remainder when 6890 is divided by 6883?
7
What is the remainder when 2563 is divided by 12?
7
Calculate the remainder when 166483 is divided by 10404.
19
What is the remainder when 952992 is divided by 53?
52
Calculate the remainder when 4823 is divided by 242.
225
What is the remainder when 40582 is divided by 116?
98
What is the remainder when 8354 is divided by 171?
146
Calculate the remainder when 1700 is divided by 214.
202
What is the remainder when 43464 is divided by 10863?
12
What is the remainder when 2159 is divided by 103?
99
What is the remainder when 31102 is divided by 308?
302
What is the remainder when 4698 is divided by 425?
23
Calculate the remainder when 3360 is divided by 1069.
153
What is the remainder when 211957 is divided by 105975?
7
What is the remainder when 6280 is divided by 6276?
4
What is the remainder when 16900 is divided by 79?
73
What is the remainder when 366603 is divided by 366592?
11
What is the remainder when 11095 is divided by 111?
106
Calculate the remainder when 216243 is divided by 12720.
3
What is the remainder when 19983 is divided by 49?
40
What is the remainder when 4222 is divided by 161?
36
What is the remainder when 124832 is divided by 259?
253
Calculate the remainder when 259924 is divided by 6.
4
What is the remainder when 15258 is divided by 16?
10
Calculate the remainder when 463102 is divided by 19.
15
Calculate the remainder when 5295 is divided by 19.
13
Calculate the remainder when 48389 is divided by 13.
3
What is the remainder when 15740 is divided by 3897?
152
Calculate the remainder when 10034 is divided by 1005.
989
Calculate the remainder when 531253 is divided by 22.
19
Calculate the remainder when 14629 is divided by 4850.
79
Calculate the remainder when 3241 is divided by 217.
203
Calculate the remainder when 20318 is divided by 6766.
20
Calculate the remainder when 42155 is divided by 170.
165
Calculate the remainder when 51003 is divided by 46.
35
What is the remainder when 127074 is divided by 45?
39
Calculate the remainder when 27598 is divided by 630.
508
What is the remainder when 172397 is divided by 27?
2
What is the remainder when 10318 is divided by 17?
16
Calculate the remainder when 23953 is divided by 3979.
79
Calculate the remainder when 3424 is divided by 1127.
43
Calculate the remainder when 1928313 is divided by 16.
9
Calculate the remainder when 30853 is divided by 139.
134
Calculate the remainder when 4087 is divided by 4050.
37
Calculate the remainder when 738472 is divided by 501.
499
Calculate the remainder when 495 is divided by 184.
127
Calculate the remainder when 2824 is divided by 89.
65
What is the remainder when 2422 is divided by 733?
223
Calculate the remainder when 224194 is divided by 28.
26
What is the remainder when 1763604 is divided by 219?
216
Calculate the remainder when 3517 is divided by 174.
37
What is the remainder when 7073 is divided by 122?
119
What is the remainder when 1158818 is divided by 85?
13
Calculate the remainder when 572 is divided by 556.
16
What is the remainder when 1327 is divided by 312?
79
Calculate the remainder when 41136 is divided by 34.
30
What is the remainder when 638 is divided by 299?
40
Calculate the remainder when 39813 is divided by 212.
169
Calculate the remainder when 113516 is divided by 240.
236
What is the remainder when 6717 is divided by 164?
157
Calculate the remainder when 132590 is divided by 67.
64
Calculate the remainder when 613 is divided by 128.
101
What is the remainder when 2930 is divided by 727?
22
Calculate the remainder when 27560 is divided by 1199.
1182
Calculate the remainder when 94266 is divided by 3250.
16
What is the remainder when 9035 is divided by 9009?
26
Calculate the remainder when 7029 is divided by 3.
0
What is the remainder when 840915 is divided by 11?
9
Calculate the remainder when 2961 is divided by 371.
364
What is the remainder when 519135 is divided by 6?
3
What is the remainder when 230129 is divided by 260?
29
What is the remainder when 15422 is divided by 3852?
14
What is the remainder when 290849 is divided by 19?
16
Calculate the remainder when 13793 is divided by 6879.
35
Calculate the remainder when 15367 is divided by 1266.
175
Calculate the remainder when 260126 is divided by 88.
86
Calculate the remainder when 7082 is divided by 1736.
138
Calculate the remainder when 670 is divided by 339.
331
Calculate the remainder when 227 is divided by 123.
104
Calculate the remainder when 27630 is divided by 9073.
411
What is the remainder when 16691 is divided by 50?
41
Calculate the remainder when 370 is divided by 154.
62
Calculate the remainder when 21198 is divided by 111.
108
What is the remainder when 1152 is divided by 230?
2
What is the remainder when 9662 is divided by 126?
86
Calculate the remainder when 574135 is divided by 172.
171
What is the remainder when 1343 is divided by 264?
23
Calculate the remainder when 12952 is divided by 38.
32
Calculate the remainder when 193859 is divided by 685.
4
What is the remainder when 143171 is divided by 152?
139
Calculate the remainder when 2739 is divided by 547.
4
What is the remainder when 3712591 is divided by 676?
675
Calculate the remainder when 10832 is divided by 129.
125
Calculate the remainder when 820050 is divided by 46.
8
What is the remainder when 227100 is divided by 183?
180
Calculate the remainder when 7305 is divided by 118.
107
What is the remainder when 770 is divided by 760?
10
Calculate the remainder when 778070 is divided by 553.
552
Calculate the remainder when 709 is divided by 118.
1
Calculate the remainder when 76369 is divided by 3.
1
Calculate the remainder when 130831 is divided by 418.
415
What is the remainder when 277269 is divided by 595?
594
What is the remainder when 2215 is divided by 19?
11
Calculate the remainder when 48100 is divided by 203.
192
What is the remainder when 2268054 is divided by 85?
84
What is the remainder when 423395 is divided by 25?
20
Calculate the remainder when 13028 is divided by 67.
30
What is the remainder when 678 is divided by 105?
48
Calculate the remainder when 17708 is divided by 2519.
75
Calculate the remainder when 2665 is divided by 456.
385
What is the remainder when 2079 is divided by 502?
71
What is the remainder when 13151 is divided by 23?
18
Calculate the remainder when 1501 is divided by 102.
73
Calculate the remainder when 9124 is divided by 253.
16
What is t | {
"pile_set_name": "DM Mathematics"
} |
= 7*j + 5*j + 12*j + 28*j - 48*j + 2. Let t(f) = f**3 + 7*f**2 - 9*f - 5. Let s be t(-8). What is x(s)?
14
Let n(u) = -u**3 + 5*u**2 - 3*u + 4. Suppose 46*x - 45*x = 0. Suppose -2*p = 5*w - 26, -w - 2*w + 4*p = x. What is n(w)?
8
Let o(y) be the first derivative of -3*y**6/40 - y**5/60 - y**4/24 + 11*y**2/2 + 6. Let a(u) be the second derivative of o(u). Calculate a(-1).
9
Let g be 3/(-2)*8/(-6). Let r = -45 + 45. Suppose -q + c = 0, r*q = q - g*c + 2. Let a(l) = -l**3 + 3*l**2 + 2*l - 2. Calculate a(q).
6
Let x(t) be the third derivative of 0 + 0*t + 1/4*t**4 - 9*t**2 - 1/2*t**3 - 7/60*t**5 + 1/120*t**6. What is x(6)?
-3
Let d(c) = -c. Let t be d(-2). Let a(b) = -b + 0*b + 3 - 4 - t. Let s = -14 + 8. Give a(s).
3
Let m(r) be the first derivative of r**4/4 - 19*r**3/3 - 19*r**2/2 - 19*r + 112. Determine m(20).
1
Let z(u) = -u**3 + 21*u**2 + 2*u - 46. Let r be z(21). Let i(h) = h**2 + 4*h - 4. Let k(m) = -1. Let x(c) = i(c) - 5*k(c). Give x(r).
1
Let q(z) = 3*z**3 + z**2 + 2. Suppose -37*s = -40*s - 90. Let r be (3/(15/2))/(6/s). Give q(r).
-18
Let c(i) = -i + 5 - 1 - 4 - 1. Let b(l) = 3*l - 1. Let h(x) = b(x) + 2*c(x). What is h(3)?
0
Let d(y) = -6 - 3*y**3 + 8*y - 7*y**2 + 3*y**3 - 6*y**3 - 1 + 7*y**3. Calculate d(6).
5
Let b(u) = 1 + 0 + 9*u - 8*u + 9 - 18. Determine b(8).
0
Let r(u) be the third derivative of u**5/60 - 11*u**4/24 - 2*u**2. Let k be r(11). Let x(o) = 16 - 7 - 3*o - o**2 + k*o**2 - 4. Determine x(-5).
-5
Let h(b) = 3*b**2 - 4*b + 2. Suppose 0 = 3*c - 5 - 1. Suppose 3 = -r + 5*z + c, 0 = r + 3*z - 7. Suppose w + r = 3*w. What is h(w)?
6
Let q(l) = -6*l - 6. Suppose -f - 3 = -1. Let m be q(f). Let c(i) = -4*i - 3*i + 8*i - m. Calculate c(9).
3
Let t be (-300)/50 + 10 + 1 + 3. Let n(g) = -g**3 + 8*g**2 - 16. What is n(t)?
-16
Let t(z) be the second derivative of -z**4/12 - 12*z - 1. Let s be (4 - 2) + (-4 - -1). What is t(s)?
-1
Suppose 0 = w + 4 + 2. Let q(p) = 1. Let d(h) = -h**2 - 7*h - 1. Let l(b) = w*q(b) + d(b). Determine l(-5).
3
Let w be 3 - (-102)/(-30) - 707/(-5). Let k(x) = -w*x - 1 - x**3 + 279*x - 137*x - x**3 + x**2. Calculate k(2).
-11
Let i(n) be the second derivative of -n**4/24 + 7*n**3/6 + 17*n**2/2 + 16*n. Let m(u) be the first derivative of i(u). Give m(9).
-2
Let i(c) = c**2 - 2*c. Let m be i(0). Let n(d) = 5*d - 13. Let k(f) = -6*f + 12. Let u(a) = -4*k(a) - 5*n(a). Calculate u(m).
17
Suppose -5*i = 5*d - 5, 2*i - 3*d - 14 = -d. Suppose i*o = o - 6. Let q(h) = 9*h + 3. Let t(a) = a. Let s(p) = -q(p) + 5*t(p). What is s(o)?
5
Let s be (-1 - 0)/((-2)/4). Suppose 6*p - 12 = s*p. Let m(c) = -5*c + 1. Let j(a) = -3*a + 1. Let r(y) = -7*j(y) + 4*m(y). Give r(p).
0
Let y(j) = 15*j + 85. Let g(u) = -u - 6. Let n(b) = -85*g(b) - 6*y(b). Suppose 0 = x + x - 3*c - 7, -9*x + 21 = -3*c. Give n(x).
-10
Suppose 0*w = -7*w + 35. Suppose t = -z - t + 5, 3*t = w*z + 14. Let x(r) = 11*r**3 + 2*r**2 - 1. Give x(z).
-10
Let r(p) = p**2 + p**3 - 2*p**2 + 5 + 3*p - 7. Let u be r(1). Let h be (-9 + 5)*u/(-4). Let a(m) = 3*m**2 + m. What is a(h)?
4
Let b = 11 + -7. Let n(i) = -39 + 38 - 4*i + 4. Calculate n(b).
-13
Let c(t) be the second derivative of t**5/20 + 5*t**4/12 + t**3/3 - 3*t**2 - 12*t. Let s be c(-4). Let k(n) = n**3 - 3*n**2 - n - 1. Determine k(s).
-7
Let x(p) = 5*p**2 - 6*p - 9. Let t(i) = 4*i**2 - 7*i - 8. Let k(l) = 6*t(l) - 5*x(l). Calculate k(-11).
8
Let x be 1 - 0 - (7 - 10). Suppose 2*q - x + 0 = 0. Let f(d) = d - 1. Let u(m) = m**2 - m. Let a(b) = 3*f(b) - u(b). What is a(q)?
1
Suppose 10*v + 19 = 79. Let m(p) = -9*p**2 + 9*p + 2. Let b(r) = -4*r**2 + 5*r + 1. Let f(t) = -7*b(t) + 3*m(t). What is f(v)?
-13
Let w(j) be the first derivative of 0*j - 4 - 9 - 2*j - j**2 + 6. Determine w(-2).
2
Suppose 8*j = -2*m + 7*j - 7, -5*j - 9 = -3*m. Let u(r) = -4*r**2 - 4*r - 3. What is u(m)?
-11
Let b(s) be the first derivative of s**4/3 - 9*s**2 - 22. Let d(v) be the second derivative of b(v). Determine d(1).
8
Let m = -79 - -88. Let o(v) = 11 + 2*v**2 - 19 + m - 2*v. Calculate o(1).
1
Let s(x) = 0*x + 7*x - 4*x + 10. Determine s(-9).
-17
Let c = 4 - 6. Let z(l) = -3*l**2 - 2*l - 6. Let r(f) = -5*f + 1. Let m be r(1). Let j(k) = -3*k**2 - 2*k - 7. Let y(t) = m*z(t) + 3*j(t). What is y(c)?
11
Suppose -v = -2*v + 6, -a + 2*v - 9 = 0. Let x be 8/6*3/2. Let m(w) = x + w**2 - w - 3 + 5. What is m(a)?
10
Let w(x) = x**2 + 4*x - 7. Let c be w(-5). Suppose -q - 4*d = -22, 4*q = 5*d - 9 - 8. Let u(a) = 3*a**2 - a**3 - 1 + q*a + 2*a + 1 + 2. Determine u(c).
14
Let p(n) = -17*n**2 + 4*n**2 + 2*n**2 + 10*n**2 - 9*n + 1 + 2. Determine p(-8).
11
Let z(j) = -2*j - 1. Suppose 45*m = 50*m, r + 4 = -m. What is z(r)?
7
Let g(s) = -s**3 - 12*s**2 - 2*s - 22. Let h be g(-12). Let i(m) = -m**2 + 4*m + 2. Determine i(h).
6
Let r(h) = h**3 - h**2 + 1. Let k(a) = -7*a**3 - 3*a**2 - 14. Let d(c) = k(c) + 6*r(c). Give d(-9).
-8
Let j be (-54)/(-14) - 2/(14/(-1)). Let m(p) = -p**2 + 3*p + 6. Calculate m(j).
2
Let r(t) = -t - 1. Let l(q) = q**3 - 3*q**2 - 12*q + 5. Let o(f) = -l(f) + 5*r(f). What is o(4)?
2
Let x = -223 - -73. Let y = x + 154. Let c(a) = 7*a**3 - 11*a**2 - 17*a + 7. Let t(f) = 3*f**3 - 5*f**2 - 8*f + 3. Let r(w) = 2*c(w) - 5*t(w). Determine r(y).
7
Let q(t) = -t**2 - 1 - 10*t - 5*t + 5 + 11*t + 1. Give q(-6).
-7
Let z(d) = -7*d**2 + d + 5*d**3 + 31 - 43 - 4*d**3. Let i be z(7). Let c(o) = -o**2 - 6*o - 8. Let m be c(i). Let k(g) = 3*g + 4. What is k(m)?
-5
Let b(h) be the third derivative of h**5/60 - 5*h**4/24 + h**3/3 + 5*h**2 - 4*h. Calculate b(4).
-2
Suppose y - 3 = 0, -4 = 4*m - y - 13. Suppose 5*l = v + 19, -m - 4 = v - 2*l. Let h(d) = -10*d. Calculate h(v).
-10
Let j(c) = -1270 - c + 632 + 634. Calculate j(10).
-14
Let l(b) = b**2 + 2*b - 4. Let g(j) = -j**2 - 1. Let y be g(-2). Suppose d - 7 = -8. Let q(n) = -n + 1. Let a(w) = d*l(w) + y*q(w). Determine a(3).
-1
Let p(i) = i**2 - i + 1. Let w(h) = -4*h - 16. Let j be w(-6). Suppose 3*f = -3*x + 12, -5*x - 7 = j. Suppose f - 4 = t. Calculate p(t).
7
Let o(l) be the first derivative of l**4/4 - l**3/3 + l - 288. Determine o(1).
1
Let h = 73 - 63. Let n(c) = 9*c**2 - h*c**2 + 0 - 2 + 0*c - c. Suppose 5*a = 0, 5*a + 8 = 4*u + 20. What is n(u)?
-8
Let m(s) = 59*s - 27 + 31470*s**2 - 15731*s**2 - 15736*s**2. What is m(-20)?
-7
Let i(s) = s**2 + s - 7. Let b(d) = 5*d**2 + 6*d - 37. Let x(v) = 2*b(v) - 11*i(v). What is x(3)?
-3
Suppose -2*j = l, -5*l - j + 3*j = 12. Let x(m) = -2*m - 2. Let g be x(l). Let d(k) = g*k**2 + 0*k**2 - k**2 + 5*k - k - 3. What is d(-6)?
9
Let w = -59 + 62. Let f(y) = 26*y**w + 2 - 4*y**2 - 1 - 27*y**3 + 1. Determine f(-3).
-7
Let v(o) = -7*o + 100. Let i be v(14). Let u(x) = -x**2 - 2*x + 4. Determine u(i).
-4
Let a(g) = -4*g - 25. Suppose -4*u + 5*u + 11 = 0. Give a(u).
19
Let p(m) = -m**2 + 15*m - 33. Let q be p(12). Let k(y) = y - 147*y**2 + 4*y**3 - 3*y**3 + q + 142*y**2. What is k(3)?
-12
Let h be (-6)/15*(2 - 5/(-10)). Let o(x) = -16*x**2 + 1. Give o(h).
-15
Let l(f) = f**3 - f + 1. Let c(j) = j**2 + 2*j - 26. Let s be (6 - (-96)/(-14))/((-1)/(-7)). Let i be c(s). Give l(i).
-5
Let q(d) = -d. Let a be 3/(-1*10/12)*20. Let w = 65 + a. Calculate q(w).
7
Suppose 60 = 23*g - 53*g. Let f(p) be the second derivative of -p**3/6 + 2*p. Determine f(g).
2
Let f(b) = 0 + b**2 - 7 + 5 - 2*b**2 + 8*b. What is f(3)?
13
Let d(w) = -3*w - 16. Let s(i) = -i + 6. Let c(o) = d(o) - 4*s(o). Determine c(0).
-40
Let z(v) = 10*v**2 - 6*v - 9. Let y(c) = -4*c**2 + c. Let l(u) = -2*y(u) - z(u). Give l(7).
-61
Let y(q) = q + 15. Let m(c) = 5*c + 62. Let z(r) = -2*m(r) + 9*y(r). Give z(7).
4
Let p(t) = 592 - 50*t + 41*t - 589. What is p(0)?
3
Let k(s) = s**2 + 1. Let v = 6 + -9. Let x be -3 - ((-8 - v) + -3). Suppose -4*a - 10 - 12 = 5*i, x*a = -i - 17. What is k(i)?
5
Let j = 24 + -21. Let y(p) = 0*p**2 - 2 + 3*p - 2*p + p**2 + j. Determine y(2).
7
Suppose a = 2*z + 2, 4*a - 7*a + 6 = -z. Let x(n) = 2 - n**3 + z*n**2 + 5 - 3 - 5*n + 3*n**2. Give x(3).
-11
Let h(v) be the first derivative of -3 - 1/3*v**3 - 2*v + 7/2*v**2. Give h(6).
4
Let p(n) be the first derivative of -2*n**2 + 2*n - 442. What is p(-9)?
38
Suppose 15*g - 13*g - 250 = 0. Let p(x) = -g - 4*x**2 + 2*x + 6*x + 5*x**2 + 121. Give p(-8).
-4
Let u(y) = y**3 + 10*y**2 + 16*y + 3. Suppose -14*p + 27 = 139. What | {
"pile_set_name": "DM Mathematics"
} |
3666.9
What is 1.1 take away -330598089.9?
330598091
Total of -2527247838 and 16.7.
-2527247821.3
Work out 234.788805 + -23893.88.
-23659.091195
What is the difference between -22769 and -3174.000341?
19594.999659
Add 8644.865431 and -95.
8549.865431
What is 0.811368109302 - 1?
-0.188631890698
Add together -4 and 106394.53434649.
106390.53434649
What is -3987690 plus 423.38?
-3987266.62
Calculate 4532241 + 0.15254694.
4532241.15254694
What is 1.297 less than -13383196?
-13383197.297
What is -0.042 - -6996181232?
6996181231.958
Total of 0.5 and -2056662.52761.
-2056662.02761
Add 12389117479 and 20.
12389117499
What is 353322320 - -23.7?
353322343.7
Put together 0.09401241742 and -401.
-400.90598758258
What is 1013862 minus -20.37?
1013882.37
What is 2140363809 less than 201?
-2140363608
Sum 1191969 and 947511.
2139480
What is 175.8216383 minus 0.07?
175.7516383
What is -0.01 take away 90747838.46?
-90747838.47
What is 0.170931203 less than 10630.18?
10630.009068797
423749888 - 40
423749848
What is -19.4126 plus 1805.3778?
1785.9652
Subtract 7 from -828466515101.
-828466515108
Work out -164421 - 5128438.
-5292859
Work out 122 + -2572063.55383.
-2571941.55383
-123 - 24404.4504
-24527.4504
Calculate -0.4 - 106802203681.
-106802203681.4
Sum -10 and -41199048840.
-41199048850
What is 5333 less than -73340567?
-73345900
What is 2397.206103 take away 37391?
-34993.793897
Sum 1 and 115.06213973036.
116.06213973036
What is 0.3 minus 10094934585582?
-10094934585581.7
Subtract 71 from -4256734.6738.
-4256805.6738
Work out -35211377948458 + 0.
-35211377948458
What is 656836738765 - 25?
656836738740
Add 191 and -119684209.
-119684018
What is the distance between 46.7 and 135247343?
135247296.3
Calculate 0.029318 - 44386055.31.
-44386055.280682
What is -327350 take away 17663798?
-17991148
Add together -12382.2413984 and -6.
-12388.2413984
Total of -3586.3817 and 952.98.
-2633.4017
Put together -9547.326638764 and -30.
-9577.326638764
Subtract -62464009 from -12702.
62451307
What is 0.3 take away 51263986755.864?
-51263986755.564
Put together 44.2654 and 28815717.
28815761.2654
Work out -255 + 10848039517.
10848039262
12219496217.8+1.37
12219496219.17
Add together 0.7 and 109979.71209.
109980.41209
Calculate -765.0748 + 1900.8.
1135.7252
What is 2.51953 minus 643888.15?
-643885.63047
56076.328+1221.4
57297.728
What is -0.13759 - -458269.3358?
458269.19821
Calculate 504 - 205677032.
-205676528
What is -0.349 + 14577529.9?
14577529.551
Add -1133622694.5 and 652.
-1133622042.5
-2 + -33497.37904
-33499.37904
-256.682 + 1.0898241
-255.5921759
What is 0 - -166371795505848?
166371795505848
Sum -242604.2 and 10.79075.
-242593.40925
216009807 + -846794
215163013
-224924130741 - -26
-224924130715
Put together -0.1 and 106399491400.
106399491399.9
What is 0.0546484994728 less than 0.3?
0.2453515005272
Total of 186081 and 719.732.
186800.732
-124 - 24630419020
-24630419144
Sum -12977.76196 and -14.8.
-12992.56196
0.0026 + 214522227
214522227.0026
Work out 10.3162 + -14498978210.
-14498978199.6838
Total of -22 and 9.7839726525.
-12.2160273475
Put together 3322 and -129410.493.
-126088.493
What is -23.868114427 - 3411?
-3434.868114427
What is 69624652537.56 less than -3?
-69624652540.56
Add together -1 and -519679921881.
-519679921882
Calculate -765718866028.25 + -5.
-765718866033.25
Work out 37366820.98 - 573.
37366247.98
Add -7058 and -15.1329525.
-7073.1329525
Put together -0.2 and 39.698497186339.
39.498497186339
What is -298.487 plus -2235.209?
-2533.696
What is -4 + 0.02470970677135?
-3.97529029322865
Add 43578.8 and 576933483.
576977061.8
What is the difference between -14 and -1626771267555?
1626771267541
Work out 11.27874 + -19.1020067.
-7.8232667
Total of -24.9 and -135038167883.
-135038167907.9
What is 998.1253 minus -0.4741?
998.5994
Work out -769185355065103 + -4.
-769185355065107
Add 0 and -26.35212311687.
-26.35212311687
What is 1944.15793 minus 1039953?
-1038008.84207
What is -7 less than -3236695375734?
-3236695375727
0.02 + 15238884137
15238884137.02
What is 13 minus 424140194413.1?
-424140194400.1
Work out -421126526193 - -0.185.
-421126526192.815
Work out -1310258214501 - 0.09.
-1310258214501.09
Add together -8313820607700 and 0.
-8313820607700
What is the distance between 960537381413 and 0.02?
960537381412.98
What is -69 + 1072070.5237061?
1072001.5237061
What is -0.043598 minus -57235377?
57235376.956402
Calculate -0.090969 - -0.072125.
-0.018844
Total of 1 and 274.457279173.
275.457279173
Calculate 56084021 - 0.749.
56084020.251
-22808661 - 2240
-22810901
What is the difference between -0.3 and 608200048821?
608200048821.3
Add together -64.364917 and -9365.
-9429.364917
What is -0.0459 less than -0.26660503576?
-0.22070503576
What is 54250 - -436082?
490332
What is -29461303.7 minus -0.0711?
-29461303.6289
What is -5.991754422 take away 149?
-154.991754422
Add -34 and 4602657460.
4602657426
Total of 4 and -154071149669.2.
-154071149665.2
-0.021+130482916.904
130482916.883
What is -0.436842491 minus -0.2107?
-0.226142491
Calculate 0.4 - 353269045.59.
-353269045.19
Total of -2 and 78294272932.
78294272930
-0.4 - 51356408440
-51356408440.4
Put together -2.1 and -898027638376.
-898027638378.1
22275.15 - 178.8
22096.35
Work out -14993405 + 252573.
-14740832
Subtract -2 from -7.501137554166.
-5.501137554166
19685743 - 0.12791896
19685742.87208104
What is the distance between -3023127 and -0.08896?
3023126.91104
What is -18 - 541217.7456?
-541235.7456
What is -3228 plus 522.715?
-2705.285
What is 66446319.678145 + -0.3?
66446319.378145
Subtract 1631211031092 from 0.472.
-1631211031091.528
What is 1 minus -491271.662914?
491272.662914
What is the difference between -393621 and 470208?
863829
What is -118950.987 minus -6727?
-112223.987
Add together 2.775 and 24029707.
24029709.775
What is -9146 plus -185953204?
-185962350
What is 227111528 plus -451.437?
227111076.563
What is 10949.21531 less than -0.16?
-10949.37531
What is the difference between -5155894989205 and 151?
5155894989356
What is -677 take away 1035663755?
-1035664432
Work out 0.3 + 0.8608042509113.
1.1608042509113
Subtract 0.57901 from 18.7913.
18.21229
164874+-1011540284
-1011375410
Subtract 5910 from -20126243.
-20132153
Work out 46 - 290432625562.
-290432625516
Add -94312733788 and 0.05.
-94312733787.95
Sum 37 and -255.865392154.
-218.865392154
What is -348929 take away 0.073332?
-348929.073332
What is 48076 take away 79740224?
-79692148
Total of 73 and 0.45506990283.
73.45506990283
Put together 2 and -16460895110939.
-16460895110937
What is -0.0139997 + -8440.954?
-8440.9679997
Sum 1819591313 and -3359.
1819587954
-0.025 - -50600904252
50600904251.975
Calculate 0.145196 - 140923540.
-140923539.854804
Put together -21.74721591 and -273.
-294.74721591
What is 583665067 plus 53901?
583718968
Calculate 119.153668064 + -32.
87.153668064
13+1075907712145
1075907712158
What is -0.29462 minus 242.216383?
-242.511003
What is -0.3 plus -210435.797374?
-210436.097374
What is -102.72485 minus -2253036?
2252933.27515
What is 29565.302658 plus 513.59?
30078.892658
What is -11255659734 take away 1.52?
-11255659735.52
What is -0.39 plus -19959988103525?
-19959988103525.39
Work out -2 - 120760.529907.
-120762.529907
-191419142+-48052.9
-191467194.9
What is -42089223806 plus -14.13?
-42089223820.13
Work out -8 + 19.639562969.
11.639562969
5 - 7382530.006
-7382525.006
What is the difference between -0.38717708 and -440?
439.61282292
Put together -841457 and 55.472972.
-841401.527028
What is the difference between -1001626177.771 and 2?
1001626179.771
Total of 10 and -2.03192051.
7.96807949
Work out -25785950 - 0.5527.
-25785950.5527
Put together -4913.428404 and -0.08.
-4913.508404
-1 + 21404302543
21404302542
What is -0.1619785 minus -2098.8008?
2098.6388215
What is 146.307 plus 131630?
131776.307
What is -516227242.3533 minus -0.4?
-516227241.9533
What is -590991.98593043 take away -20?
-590971.98593043
0.2 + 565528971853
565528971853.2
Sum 28.807 and -5781737600.
-5781737571.193
Subtract 34438433 from 293760.
-34144673
What is the difference between 553487 and 680011?
126524
Sum -11 and 7093629652337.
7093629652326
179655173454 - 10.56
179655173443.44
-314211.56+-161.347
-314372.907
Add together -0. | {
"pile_set_name": "DM Mathematics"
} |
-3, o
Let q = -101 + 99. Put 1, 47, q in descending order.
47, 1, q
Suppose -2*f - 3*l = -0*f + 11, 4*f + 2 = -2*l. Sort f, -4, 4 in ascending order.
-4, f, 4
Let s(u) = -3*u**2 - u + 4. Let r be s(-2). Let k be ((-1)/(-8))/(3/r). Put 2, 1.5, k in descending order.
2, 1.5, k
Let n be (1/126)/(145/2210). Let s = n - 2/203. Let d = -8 - -13. Sort 0.2, d, s in increasing order.
s, 0.2, d
Let d(w) = w**2 + 7*w + 10. Let j be d(-4). Put j, 3, 4, 0 in increasing order.
j, 0, 3, 4
Suppose -4*p - 1 = -4*o - 3*p, p + 1 = o. Suppose -2*h + 0*h = o. Put 5, -1, h in decreasing order.
5, h, -1
Suppose 0 = -3*t - 2*k + k + 8, k = 3*t - 10. Let f(p) = p**3 - 3*p**2 - p + 1. Let g be f(t). Sort -3, 0, g in decreasing order.
0, g, -3
Let q(b) = -2*b + 15. Let u be q(7). Let r be (-2)/((-16)/(-6))*-4. Put u, r, -6 in ascending order.
-6, u, r
Let t = -1.5 - 2. Let j = t + 4. Let l = j + -0.3. Sort l, -3/2, -1/5.
-3/2, -1/5, l
Suppose -4*o - 1 = 3*l - 0*l, -5*o = 4*l + 2. Let d be (4/(-5))/((-4)/(-20)). Put d, l, 3 in ascending order.
d, l, 3
Let y be 3 - (-3 - (0 + -2)). Let w be 5 - (-1 + 6/2). Sort y, 1, w in decreasing order.
y, w, 1
Let l be (-16 - 3) + 0/(-1). Let y = -17 - l. Sort 1, 0, y in descending order.
y, 1, 0
Let i(x) = x**2 + 6*x - 2. Let o be i(-6). Suppose -2 + 17 = 3*w. Let d(v) = -v**2 + 4*v. Let s be d(w). Sort s, o, 2/7 in ascending order.
s, o, 2/7
Let d = -3.05 - -0.05. Let l = d + 3.3. Let u = -0.2 - l. Put u, -0.3, 0.2 in increasing order.
u, -0.3, 0.2
Suppose 3 = -5*j - 12. Let w be (0 + (-27)/132)/j. Let o = 65/308 - w. Sort 1, o, -1/4 in ascending order.
-1/4, o, 1
Let l = 8 + -8. Sort -8, 5, l.
-8, l, 5
Suppose -3*r + 3*y + 15 = 0, 2*r + 3*y = 1 - 16. Sort 3, r, 16 in descending order.
16, 3, r
Let w = 0.072 - 28.072. Put 3, -1/4, w in increasing order.
w, -1/4, 3
Suppose -4*v = 5*s - 100, 5*s - 34 = -5*v + 61. Let j = 5593/4 + -1422. Let c = j + s. Sort c, 5, -2 in increasing order.
-2, c, 5
Let b be 2/4*(-4)/(-6). Let q be (5 - 1)*1*-2. Let o be (18/48)/((-6)/q). Sort o, b, -0.5 in descending order.
o, b, -0.5
Let d = -60 - -61. Sort -0.1, -0.17, d in decreasing order.
d, -0.1, -0.17
Let u = 0.039 - 2.039. Sort 4, u, 0.3 in descending order.
4, 0.3, u
Let k(f) = -f**3 - f + 1. Let w be k(1). Put w, 3, -4/5 in ascending order.
w, -4/5, 3
Let y = 2 + -4. Let t = y + 1. Sort 2, 0, t in descending order.
2, 0, t
Suppose 0 = -b - 5, z - 4*z = -5*b + 2. Let h = z + 18. Let u = -4 + h. Put 4, u, -2 in descending order.
u, 4, -2
Let i be ((-3)/8)/((-1)/(-4)). Let f be 8/(-24) - 97/(-21) - 4. Put f, 0.2, i in increasing order.
i, 0.2, f
Let h(n) = 2*n**2 - 2*n + 3. Let u be h(3). Suppose p + q = 3, 2*p + 0*q + u = 5*q. Let x = -44 + 177/4. Sort p, 1/3, x in descending order.
1/3, x, p
Let l(f) = -3*f**2 + 33*f - 31. Let j(z) = -z**2 + 11*z - 10. Let m(r) = -11*j(r) + 4*l(r). Let h be m(10). Sort 5, -3, h in decreasing order.
5, -3, h
Let q = 2.2 + -2. Let p = 13.6 - 14. Put q, 0.3, p in decreasing order.
0.3, q, p
Let y be 13 + 4/(-2) - 1. Suppose y = 2*b, l = 6*l + 4*b. Suppose -v + 16 = 3*v. Put v, l, -5 in descending order.
v, l, -5
Let p be 28/8 - 2/(-4). Sort p, -1, 9 in decreasing order.
9, p, -1
Let n be ((2/3)/(-1))/(1/(-6)). Let o be (-3)/9 - (-22)/(-6). Sort o, 5, n.
o, n, 5
Let f(j) = j - 5. Let l be f(8). Let m(z) = -z**3 + 8*z**2 + 10*z - 5. Let t be m(9). Put -5, l, t in descending order.
t, l, -5
Let a be ((-6)/5)/((-8)/20). Let u be 3/(-2 - -5) - a. Sort 4, u, -5 in ascending order.
-5, u, 4
Let p be 1/(-3) + (-85)/15. Let k = p + 8. Let x be 3 - 2 - k - 2. Sort -0.3, x, -1.
x, -1, -0.3
Let a = 12/53 + 135/106. Let x = 3.05 + -0.05. Put a, 16, x in decreasing order.
16, x, a
Let x be (6/4)/(2/4). Suppose -x*h + 5 + 1 = 0. Let d = -17/35 - -2/7. Sort -2/3, h, d in descending order.
h, d, -2/3
Let b = -10 + 10.2. Let d = b + -0.5. Sort -1/5, 4, d in increasing order.
d, -1/5, 4
Let m = 6 - 4. Let v = m - 2. Let u = 0.27 + 0.23. Sort -2/9, v, u in increasing order.
-2/9, v, u
Let k be ((-4)/(-3))/((-2)/(-19 + 1)). Sort -4, 5, 1, k in descending order.
k, 5, 1, -4
Let s = -14 + 14.4. Sort s, -31, 3/7 in decreasing order.
3/7, s, -31
Let o = 3.7 - 4.7. Suppose 2*j - s = j - 10, 5*s + 10 = 0. Let f be (2*-1)/(32/j). Put 3, o, f in descending order.
3, f, o
Let z(h) = h - 6. Let s be z(6). Suppose 4*y + 12 = y. Put s, -3, y in descending order.
s, -3, y
Suppose w - 25 = -23. Sort -3, w, -5 in decreasing order.
w, -3, -5
Let f be (4/1 + -2)/1. Suppose -r = -f*r. Put 4, -5, r in descending order.
4, r, -5
Let z be (-102)/(-30) + (-6)/15. Let b = -15 - -11. Sort b, 1, z.
b, 1, z
Let u be (-7)/(-2)*48/644. Sort -2/5, -3, u in descending order.
u, -2/5, -3
Let y = 5.3 + -2.3. Let p be 10/(-4)*(-12)/10. Suppose 0 = -p*a - 4*s - 7, 4*a - 3*s + 2*s = -3. Put 0, a, y in increasing order.
a, 0, y
Suppose -3*y = 3 - 6. Let d(x) = -2*x. Let q be d(-2). Let p(s) = -s**3 + 5*s**2 + 4*s + 7. Let a be p(6). Put y, q, a in ascending order.
a, y, q
Let g be 2/(-4) - (-24)/16. Let a = 2 + -4. Put a, 2, g in decreasing order.
2, g, a
Suppose -3*u + 2*v = 4, 0 = -3*u + v - 2*v + 11. Sort 18, -5, 1, u in descending order.
18, u, 1, -5
Let u = -6 - -8. Let t = -1546246293/854 - -1810592. Let d = 1/122 - t. Sort u, d, 1/4 in ascending order.
1/4, d, u
Let i = -5.6 - -5.5. Sort 2, -1, -0.5, i in descending order.
2, i, -0.5, -1
Let g = -95.2 - -88. Let y = 0.2 + g. Let d = -10 - y. Put 2/7, 2/9, d in ascending order.
d, 2/9, 2/7
Let i = 9 - 5. Suppose 0 = -4*r - i*k + 12, 3*r - k + 2 = -9. Let d = 15 - 11. Put d, r, -5 in ascending order.
-5, r, d
Suppose -4*o = 2*t - 5*t - 27, 5*t - 4*o + 37 = 0. Sort -3, 2, t in increasing order.
t, -3, 2
Let c be 6/7*3/6. Sort 2/7, -5, c, 1/6 in ascending order.
-5, 1/6, 2/7, c
Let l = 1.99 - -0.01. Let c = l + -2. Sort -0.5, c, 0.3 in descending order.
0.3, c, -0.5
Let b(r) = r - 4 + r + 5 - 3*r. Let k be b(-3). Suppose -g + 0 = 3. Sort g, k, 2 in descending order.
k, 2, g
Let i = 10 + -9.9. Let c = 7 - 12. Sort -1, i, c.
c, -1, i
Suppose 0*w = -2*w + 12. Let l = -3 + w. Let i = l + -5. Sort 2, i, 0 in descending order.
2, 0, i
Let c be 48/21 - (-6)/(-21). Let w be 3 - (-7)/(7/c). Suppose 0 = -6*g + w*g. Sort g, -4, 3 in decreasing order.
3, g, -4
Let j = 7/5 - 29/10. Sort j, -3, -0.01.
-3, j, -0.01
Let i = -2 + 3. Suppose 2*l - 11 = -i. Suppose -a = -f + 6, l*a = -5*f + 3 - 13. Put 4, a, 3 in ascending order.
a, 3, 4
Let m = -19 - -1. Let o = -16 - m. Sort 0.1, -2/5, o in decreasing order.
o, 0.1, -2/5
Let u(p) = -2*p - 1. Let y = 7 - 10. Let v be u(y). Put -1, 3, v in increasing order.
-1, 3, v
Let b = 3 + -4.6. Let w = 3 - 5. Let u = b - w. Put 0, u, -5 in descending order.
u, 0, -5
Suppose -3*w - 10 = -1. Sort -7, w, 3.
-7, w, 3
Let l be 4/22 - 35/(-330)*-8. Sort l, -0.1, 0.1, -2.
-2, l, -0.1, 0.1
Let z(t) = -t**3 - 10*t**2 + 12*t + 13. Let m be z(-11). Sort m, 1, 5 in decreasing order.
5, m, 1
Let n = -27 - -26. Let z = -6 + 1. Sort z, n, -0.1 in decreasing order.
-0.1, n, z
Suppose -7*l = 2*l + 18. Sort l, 1, -5.
-5, l, 1
Let u = 0.03 + -0.11. Let b = u + 5.08. Let t = 8 - 13. Sort t, b, 3 in increasing order.
t, 3, b
Let c = -3 + 5. Let h(w) = c*w**2 - 2 - 1 - 6*w - 3*w**2. Let k be h(-4). Put 2, k, -5 in descending order.
k, 2, -5
Let f = -24 - -16. Let y = -10 - f. Put -0.2, -3, y in ascending order.
-3, y, -0.2
Let c(g) = g**3 - 20*g**2 + g - 22. Let w be c(20). Sort 4, -5, w in ascending order.
-5, w, 4
Suppose 9*m - 2*b = 4*m + 1, -4*b + 3 = -5*m. Let i = 39 - 27. Suppose 0*r + i = 3*r. Put r, -1, m in ascending order.
-1, m, r
Suppose 7*a = 4*a + 12. Let k be ((-24)/32)/(1/4). Let o = a + k. Sort -2, o, -5 in descending order.
o, -2, -5
Suppose -3*u - 34 = 26. Let p be (-3)/u - 12/30. Put 1, 3/2, p in decreasing order.
3/2, 1, p
Let p(v) = 2*v**2 + 3*v. Let i be p(0). Sort i, 5, 10.
i, 5, 10
Suppose 69 = 4*q - q - 3*a, -66 = -3*q + 2*a. Sort -1, -3, q.
-3, -1, q
Suppose 0 = -88*u + 86*u - 2. Put 3, -7, u in ascending order.
-7, u, 3
Suppose u + 2*f - 2 = 8, -2*f = -3*u - 2. Put u, 4, -5 in decreasing order.
4, u, -5
Let y be (-48)/15 + 3 + 12/(-15). Sort -5, 6, y in decreasing order.
6, y, -5
Let s be -2*2/(8/(-10)). Let d(r) = -r**2 + 2*r + 3. Let v be d(0). Sort s, 2, v in decreasing order.
s, v, 2 | {
"pile_set_name": "DM Mathematics"
} |
z - 85 + 25 + 21. Let g(y) = 2*y**2 - 6. What is -g(w) + 2*r(w)?
-2*w**2 + 2*w + 4
Let m(p) = 15*p + 2. Suppose 5176 - 5421 = -35*w. Let u(f) = 46*f + 6. Give w*m(r) - 2*u(r).
13*r + 2
Let b(p) = -4*p + 3. Suppose 3 = 3*t - c, -3*c = 5*t - 2*c - 5. Let x(n) = 4*n - 10*n - t + 7 - 1 - n. What is -11*b(l) + 6*x(l)?
2*l - 3
Let x = -177 - -179. Let c(t) = -2*t - x*t + 7*t + 82*t**2 - 87*t**2 - 3. Let y(m) = m**2 - m + 1. Give -2*c(o) - 6*y(o).
4*o**2
Let w(a) = a + 1. Suppose -76*b - 160 = 4*b. Let q(n) = -26*n - 1. Give b*w(y) - q(y).
24*y - 1
Let u(y) = 7*y - 5. Let d(c) = 20 - 2*c**2 + 8*c**2 - 3*c - 5*c - 14 - 7*c**2. What is 2*d(x) + 3*u(x)?
-2*x**2 + 5*x - 3
Let v(i) = 5*i**3 - 590*i**2 - 6*i - 12. Let m(p) = 4*p**3 - 591*p**2 - 5*p - 10. Calculate -6*m(x) + 5*v(x).
x**3 + 596*x**2
Let q(n) = 32*n**3 - 26*n**2 - 17*n - 38. Let t(l) = -11*l**3 + 9*l**2 + 6*l + 13. What is 6*q(b) + 17*t(b)?
5*b**3 - 3*b**2 - 7
Let r(x) = 5*x**2 + x - 1. Let y(v) = -14155*v**2 - 2980*v + 2980. Calculate -2980*r(o) - y(o).
-745*o**2
Let t(d) = -3*d**3 - 42*d**2 - 3. Let s(g) = -15*g**3 - 209*g**2 - 15. Determine 2*s(h) - 11*t(h).
3*h**3 + 44*h**2 + 3
Let a(x) = -15*x - 46. Let c be a(-3). Let j(z) = z**3 - z**2 + z + 1. Let o(p) = 34*p**3 + 6*p**2 - 5*p - 6. Calculate c*o(g) - 6*j(g).
-40*g**3 - g
Let w(u) = 7*u**2 + 2*u - 75. Let t(d) = 2*d**2 + d - 18. Calculate 9*t(c) - 2*w(c).
4*c**2 + 5*c - 12
Let y(d) be the second derivative of 0 + 0*d**2 - 1/3*d**4 - 12*d + d**3. Let l(s) be the third derivative of s**4/24 - 33*s**2. What is -8*l(x) + y(x)?
-4*x**2 - 2*x
Let n(x) = 3*x**2 - 4*x - 1. Let y(a) = 95*a**3 - 2*a**2 + 7*a + 2. Give 2*n(o) + y(o).
95*o**3 + 4*o**2 - o
Let r(k) = 5*k**2 + 104*k + 104. Let x be r(-1). Let v(i) = -13*i + 4. Let m(d) = 13*d - 3. Determine x*v(b) + 6*m(b).
13*b + 2
Let p(g) = 164*g. Let u(t) = 99*t - 55. Let o(v) = 53*v - 30. Let y(f) = -11*o(f) + 6*u(f). What is -6*p(b) + 88*y(b)?
-16*b
Let m(c) = -20*c - 1. Let p(f) = -f + 9. Let h(b) = 2*b - 21. Let d(k) = 3*h(k) + 7*p(k). What is 3*d(x) + m(x)?
-23*x - 1
Let t(x) = 893*x**3 - 2*x**2 + 4*x + 11. Let f(q) = -4465*q**3 + 11*q**2 - 22*q - 60. What is 2*f(a) + 11*t(a)?
893*a**3 + 1
Let y(k) = 28*k**2 - 38*k - 1. Let q(v) = 9*v**2 - 12*v. What is 7*q(p) - 2*y(p)?
7*p**2 - 8*p + 2
Let i(g) = 37*g**3 - 4*g**2 - 4*g - 2. Let m(o) = -185*o**3 + 22*o**2 + 20*o + 12. Give -11*i(t) - 2*m(t).
-37*t**3 + 4*t - 2
Let g(a) = -307*a**2 + 20*a + 13. Let p(y) = -102*y**2 + 6*y + 4. Determine 2*g(h) - 7*p(h).
100*h**2 - 2*h - 2
Let p(r) = -7*r**2 - 6. Let w(q) = 8*q**2 + 7. Suppose 15 = -3*o, 0*o - 5*o - 3 = j. Suppose -j*i = -32*i + 1120. Let y = 118 - i. What is y*w(h) + 7*p(h)?
-h**2
Let n(b) = 12*b**3 + 191*b + 1. Let t(a) = -2*a**3 + 3*a - 1. Determine n(u) + t(u).
10*u**3 + 194*u
Let a(w) = -2*w. Let x(r) be the second derivative of 0*r**2 - 1/6*r**3 + 0 - 203*r. Determine -3*a(j) + 8*x(j).
-2*j
Let g(t) = 6*t**3 + 6*t**2 - 6. Let m = -5343 + 5348. Let y(k) = -6*k**3 - 5*k**2 + 5. Let j be -1 + -1 + 3 + 5. Calculate j*y(s) + m*g(s).
-6*s**3
Suppose 127*v = 241*v - 684. Let g(n) = -n**3 - 6*n**2 + 5*n + 11. Let q(b) = -2*b**3 - 13*b**2 + 11*b + 23. Determine v*q(t) - 13*g(t).
t**3 + t - 5
Let g(d) be the third derivative of -d**4/12 - d**3/6 + 580*d**2. Let k(b) be the third derivative of 5*b**4/24 + b**3/2 - 2*b**2. Give -7*g(w) - 2*k(w).
4*w + 1
Let f(w) = -5*w - 1. Let y(h) = 36*h**2 + 116*h + 1. Determine -46*f(b) - 2*y(b).
-72*b**2 - 2*b + 44
Let y(h) = -16*h - 65. Let x(v) = 19*v + 67. Give 5*x(p) + 6*y(p).
-p - 55
Let u(f) be the first derivative of 41 - 18 + 6*f + 20 - 4*f**2. Let b(c) = c - 1. Let i(w) = w + 1. Let o be i(0). What is o*u(m) + 6*b(m)?
-2*m
Let v(i) = 21*i**2 - 28*i - 38. Let s(g) = 7*g**2 - 9*g - 12. Let l(z) = 19*s(z) - 6*v(z). Let m(t) = -t**2 - 1. Calculate l(k) + 5*m(k).
2*k**2 - 3*k - 5
Let p(b) = -280*b**3 - 20. Let v(q) = -40*q**3 - 3. Let c(l) = -l**2 - 17*l - 69. Let i be c(-6). Calculate i*p(r) + 20*v(r).
40*r**3
Let m(j) = 9*j**3 + 14*j**2 + 4*j + 8. Let x(d) = 10*d**3 + 15*d**2 + 5*d + 8. Calculate -5*m(o) + 4*x(o).
-5*o**3 - 10*o**2 - 8
Let c(y) = 85*y**2 - 2. Let l(k) = -84*k**2 + 3. Suppose -45*q + 18*q = -2*q - 50. Calculate q*l(a) + 3*c(a).
87*a**2
Let c(f) = -f**2. Let p(g) be the second derivative of -7*g**4/12 - g**3/6 - g**2/2 - 69*g. Suppose 2*q = 4*u, -3*u - q - 2*q = 9. What is u*p(z) + 6*c(z)?
z**2 + z + 1
Let l(q) = -q**3 + 11*q**2 - 7*q + 266. Let h(c) = 5*c**2 - 2*c + 89. What is -7*h(p) + 2*l(p)?
-2*p**3 - 13*p**2 - 91
Let b(t) = t**3 + 2*t**2 - 113*t - 2. Let f(c) = -c**3 - 4*c**2 + 238*c + 4. Give -5*b(o) - 3*f(o).
-2*o**3 + 2*o**2 - 149*o - 2
Let t(v) = -v**2 + 13*v - 1. Suppose 156*r - 119 = 139*r. Let z(l) = 7*l - 1. Determine r*z(k) - 4*t(k).
4*k**2 - 3*k - 3
Let b(t) = -9810*t**3 - 6*t**2 + 3. Let y(a) = -19619*a**3 - 14*a**2 + 7. What is -7*b(o) + 3*y(o)?
9813*o**3
Let t(h) be the first derivative of 58*h**2 + 6*h - 1722. Let l(u) = 39*u + 2. Give -11*l(d) + 4*t(d).
35*d + 2
Let f = 33 + -25. Suppose f*a = 4*a + 2*j + 18, 12 = 5*a + j. Let o(n) = -a + 3 + 4 - 3. Let v(y) = y. Give -o(i) + 3*v(i).
3*i - 1
Let i(r) = -9*r + 4. Let u(c) = -7*c + 7. Let p(k) = 2*i(k) - 3*u(k). Let s(l) = 2*l - 6. What is 3*p(w) - 7*s(w)?
-5*w + 3
Let m(g) = 7*g + 7. Let d(i) be the third derivative of -i**3/6 + 36*i**2 - 11*i. What is -28*d(u) - 4*m(u)?
-28*u
Suppose -36*w = -32*w - 56. Suppose -w*r - 8*r = -88. Let n(k) = -5*k + 4. Let y(b) = -11*b + 9. Give r*y(h) - 9*n(h).
h
Let x(s) = -123*s + 4. Let q(n) = 126*n - 5. Give 5*q(l) + 6*x(l).
-108*l - 1
Let x(w) = -w**2 + 3*w + 3. Let z = -142 + 161. Let d(o) = o**2 - 20*o + 15. Let j be d(z). Let g(t) = 4*t + 4. Calculate j*x(y) + 3*g(y).
4*y**2
Let f(v) = 8*v - 806. Let m(c) = 7*c - 744. What is 6*f(t) - 7*m(t)?
-t + 372
Let x(s) = -s + 1. Let w(m) = -508. Let d(z) = 85. Let n(f) = -6*d(f) - w(f). Let j(o) = o**3 + 5*o**2 - 6*o + 3. Let h be j(-6). Determine h*x(k) + 2*n(k).
-3*k - 1
Let i(m) = m**2 - 4. Let x(c) = 37165*c**2 - 178392. Calculate 44598*i(q) - x(q).
7433*q**2
Let c be 19/((-1520)/96)*10/(-6). Let a(j) = -3*j + 6. Let r(d) = -15*d + 31. What is c*r(s) - 11*a(s)?
3*s - 4
Let h be ((-3)/18)/(22/(-165))*-4. Let s(p) = 7*p**3 - 6*p**2. Let k(u) = -u**2 + u**3 + 5*u**3 - 4*u**2. Calculate h*s(x) + 6*k(x).
x**3
Let s(b) = 3*b**3 - 250*b**2 + 25*b. Let f(j) = -4*j**3 + 248*j**2 - 31*j. What is -4*f(a) - 5*s(a)?
a**3 + 258*a**2 - a
Let q(x) = 119*x**2 - 6*x + 295. Let y(t) = -239*t**2 + 13*t - 642. Determine 13*q(c) + 6*y(c).
113*c**2 - 17
Let z(g) = 5*g**2 - 3*g - 1. Suppose -17343*v + 64 = -17279*v. Let c(q) = 1. Determine v*c(l) + z(l).
5*l**2 - 3*l
Let t(c) = -5272*c**2 - 4*c + 18. Let l(u) = -2*u**2 + u - 4. What is -4*l(y) - t(y)?
5280*y**2 - 2
Let k(v) = 3*v**3 + 6*v - 4. Let a(l) = 2*l**3 + 10*l**2 + 18*l. Let u(m) = -m**3 - 8*m**2 - 13*m - 1. Let h(i) = -4*a(i) - 5*u(i). Give -6*h(p) - 7*k(p).
-3*p**3 - 2
Let w(p) = p**3 + p**2 + 1. Let q(i) = -4*i**3 + 197*i - 8 - 4*i**2 - 197*i. Suppose -53*u = 124 - 177. Calculate u*q(l) + 5*w(l).
l**3 + l**2 - 3
Let h(g) = 159. Let x(z) = 278. Let f(b) = 7*h(b) - 4*x(b). Let i(u) = 3*u - 2. Give -2*f(y) + i(y).
3*y - 4
Let i(r) = 1. Suppose -916*s - 263*s - 1941 = 762*s. Let d(f) = 0 + 4*f**3 + 0 + 8. Let o(h) = -h**2 + 7*h - 4. Let p be o(3). What is p*i(x) + s*d(x)?
-4*x**3
Let l(r) = 907*r - 11. Let s(v) = -301*v + 4. What is -4*l(j) - 11*s(j)?
-317*j
Let x(i) = -5*i + 2. Let v(j) = -11*j + 4. Let a = 105 + -102. Suppose -a*l + 3 = -2*l. What is l*v(f) - 7*x(f)?
2*f - 2
Let i(k) = -118*k**2 + 17*k + 9. Let j(g) = 68*g**2 - 10*g - 5. Let q(w) = -4*i(w) - 7*j(w). Let u(x) = 4*x**2 - 3*x + 1. Determine 4*q(s) + 3*u(s).
-4*s**2 - s - 1
Let s(i) = -i**2 - i + 1. Let y(m) = 3*m**3 + 4*m**2 + 4*m - 11. Let u be (-6 + (-45)/(-6))*9/(162/12). Determine u*y(q) + 4*s(q).
3*q**3 - 7
Let l(z) = 5*z**2 - 2. Let m(n) = -16*n**2 + 7. Suppose -q + 5*o + 224 = 48, 2*o = 3*q - 541. Let u = q + -202. Determine u*l(d) - 6*m(d).
-9*d**2
Let m(b) = -101*b**3 - 78*b**3 + 277*b**3 - 99*b**3 + 4*b. Let u(w) = -2*w**3 + 6*w. What is -8*m(y) + 5*u(y)?
-2*y**3 - 2*y
Let v(p) = -13*p - 3. Let w(q) = 52*q + 13. Suppose -71*c = -755 - 1091. Calculate c*v(n) + 6*w(n).
-26 | {
"pile_set_name": "DM Mathematics"
} |
98. Let a(q) = -q**2 - 8*q - 5. Let y be a(l). Solve -y*x + 83 = 81 for x.
1
Suppose 3*o = 5*q + 1, 0*o + 2*o + 16 = -5*q. Let i be (-15)/o*-1*2/(-2). Suppose v - i*v = -16. Solve -7*h + 3*h = -v for h.
1
Let h(z) = z**3 + 27*z**2 + 16*z + 599. Let x be h(-27). Solve 179*i = x*i - 24 for i.
-2
Let l = 12825 + -12693. Solve -156*n + l*n = 0 for n.
0
Suppose 739 = 6*y - 2*y + 5*k, -3 = 3*k. Let b = y - 182. Solve v = 5 - b for v.
1
Suppose -22*a = 25*a - 611. Suppose 0 = 4*z + z + 55. Let g = z + a. Solve -y = -g + 1 for y.
1
Suppose -m + 6*m - 61 = 3*g, -2*m - 3*g = -37. Suppose 5*s - m = 11. Let h be (15/(-15) - 6/(-4))*0. Solve h = 5*a - 15 - s for a.
4
Let m(g) = -2*g**3 + 17*g**2 + 30*g - 6. Let l(h) = h**3 - h + 1. Let j(p) = -3*l(p) - m(p). Let x be j(-15). Let b = -39 - x. Solve -f = -4*f + b for f.
1
Suppose -7*m - 20 = -41. Suppose m*p = 287 - 155. Solve 3*k = -p + 38 for k.
-2
Suppose 5*b = 6*b - 5*f, -30 = -5*b - 5*f. Suppose 2*m + b*z - 18 = 7*z, 2*m = -5*z + 39. Solve j - m + 11 = 0 for j.
1
Let l = -515 - -532. Solve -88 = -l*j - 20 for j.
4
Let c be -9 + 14 - (1 + 0). Suppose -12 = -2*w + c*x, 0 = -w - 11*x + 8*x + 26. Solve -3*d + 10*d + w = 0 for d.
-2
Suppose 5*u - 1 - 24 = 0. Suppose -2*l = -6*l + 5*h + 175, -u*h + 105 = 3*l. Suppose 0 = 3*c - 11*c + l. Solve -c = 5*o - 0 for o.
-1
Let g(u) = -u**3 + 3*u**2 + 2*u - 5. Let f be g(3). Suppose 42*r - 46*r + 16 = 0. Suppose f = t, -2*m + t = -3*t - r. Solve 2 = m*k - 6 for k.
2
Suppose -2*j - 3*t + 64 = 3*j, -2*j + 26 = t. Suppose -5*o + j*o - 54 = 0. Let w be (10/o)/((-5)/(-6)). Solve -w*d = 3*d for d.
0
Let b(v) = v**3 + 26*v**2 + 136*v + 3550. Let m be b(-26). Solve 1127*k = 1129*k + m for k.
-7
Suppose -122*w - 1093 = -1093. Solve w = 23*g + 574 - 528 for g.
-2
Let b(m) = -10*m - 60. Let v be b(-6). Suppose v = -37*s + 51*s - 140. Solve -s*a = -13*a for a.
0
Let x(c) = -c**2 - 19*c + 68. Let h be x(-22). Suppose -h*a + u = 6*u - 7, -5*u - 5 = 0. Solve -15*p + a = -69 for p.
5
Suppose -6*w = -13*w + 28. Suppose -36*y = -40*y + w. Solve -5*q + 1 = y for q.
0
Let w = 7969 - 7938. Solve 0 = 5*x - 46 + w for x.
3
Let w = -308 - -137. Let q = -162 - w. Solve b - 4*b + q = 0 for b.
3
Suppose -39*d + 21673 = -167 - 9984. Solve 13*i + 738 - d = 0 for i.
6
Suppose -72 + 47 = -5*a. Suppose 7 = -a*q + 22. Let m be -2*2 - (-16 - q). Solve -2*j - m = 3*j for j.
-3
Suppose -32*h + 34 = 4*w - 27*h, -w + h = -4. Suppose -w*r + 45 = -27. Solve 12*x - r = 9*x for x.
4
Suppose -3*v - 171 = -2*u - 147, -u = -2*v - 14. Solve 1069*s = 1070*s - u for s.
6
Suppose 110*v - 18*v = 10856. Solve v*u - 36 = 109*u for u.
4
Let p(m) = -m**2 + m - 8. Let s be p(7). Let j = -77 - s. Let q = j + 32. Solve -2*t = q + 3 for t.
-4
Let d be (6/21)/(((-8)/(-168))/1). Suppose -5*i + 24 = 59*y - 55*y, 5*i + 20 = 0. Solve 0 = y*p - d*p - 5 for p.
1
Let q = -7 - -22. Suppose o + 11 = 4*v, o = 6*o + q. Solve 0 = v*z - 5*z + 3 for z.
1
Let d(v) = -9*v + 30. Let h be d(4). Let w be h/1 - 117/(-13). Solve 0 = -2*b - 9 + w for b.
-3
Suppose 3*p - j = -57, -4*j = 2*p + j + 55. Let r = p + 23. Suppose -k + r*w - 4 - 7 = 0, 3*k = 4*w - 8. Solve -k = t - 2 for t.
-2
Let g(n) = 4*n + 21. Let t(r) = -2*r - 10. Let s(k) = 3*g(k) + 5*t(k). Let u(l) = -12*l + 79. Let p be u(7). Let b be s(p). Solve 0 = 2*d - d + b for d.
-3
Suppose -4*k + 2*p = 28, -12 + 5 = k - p. Let h be -1 + k/(35/(-75)). Solve 0 = 5*f - 1 - h for f.
3
Suppose 5*o - 35 = 30. Let t = 27 - o. Solve 2*s - t = -4 for s.
5
Let u be 34 + 4 - (5 - 3). Suppose 13*d = d + u. Solve -5 = 8*a + d for a.
-1
Suppose 43*a - 214 + 42 = 0. Suppose 0 = 4*x + 4*x - 232. Solve a*c = -41 + x for c.
-3
Suppose 5*x + 45 = 7*x + 3*n, 3*n = -x + 15. Suppose 199*j - 205*j = -x. Solve -j*b + b - 8 = 0 for b.
-2
Let o be 0/(2/(-6) - (-4)/(-6)). Suppose o = -b - 7 + 24. Solve -t + b = 15 for t.
2
Suppose 9*l - 6*l = 4*y - 116, -l = 2*y - 48. Suppose 18*j - y*j = 0. Solve -6*q + 9*q - 6 = j for q.
2
Let r(g) = 3*g + 81. Suppose -3*v + 4*k - 71 = 0, -4*v + 0*k = 4*k + 104. Let f be r(v). Solve -f = 3*b - 6*b for b.
2
Let o be 157/((84/126)/(4/(-6)) - -2). Solve 37 = -15*d + o for d.
8
Let r be (1 + -3)/(-2) - -9. Suppose -y = -3*d + 16, -4*d - 2*y - 8 = -36. Let g = r - d. Solve 2*a = 6 + g for a.
5
Suppose 7*c = 4*c. Let z(q) = -2*q + 6. Let b be z(6). Let v = b - -8. Solve c = r + v - 3 for r.
1
Let g(b) = -14*b**2 + 11*b + 6. Let i be g(0). Solve -640 = i*m - 652 for m.
2
Let l = 219 + -194. Suppose l*m + 4 = 4. Solve -11*k = -m*k + 44 for k.
-4
Let v(j) = -j - 4. Suppose 4*w - 15 = 7*w. Let o be (-3)/(3 - w/(-2)). Let i be v(o). Solve -b = -i + 1 for b.
1
Let x(u) = -u**2 + 11*u - 8. Let w(f) = f**2 - 5*f - 40. Let t be w(-5). Let j be x(t). Solve -2*c = -0*c - j for c.
1
Let v be 10/20 - 3/6*-13. Suppose 0 = -7*h + v + 28. Suppose 2*j + 3*j = -4*y + 45, 2*y - 5*j = -15. Solve h + 10 = -y*a for a.
-3
Suppose 0 = 3*i - 3*r - r - 337, 0 = -2*i + 3*r + 223. Suppose -5*h - i = 306. Let s = h - -88. Solve 0 = -5*n + s - 13 for n.
-2
Let h = 7 - -1. Let y = -28 - -37. Suppose y*c + 3 = 57. Solve 2*u + c = h for u.
1
Suppose 0 = -0*w - w - 6. Let j be (1 + 4)*15*(-2)/w. Suppose 0 = j*n - 29*n + 12. Solve -n*y + y = 2 for y.
-1
Suppose 0 = 2*b + b - 18. Let q be ((-56)/(-42))/(3/(-9)). Let r be (b + q)/(2/5). Solve r*m - 8 = m for m.
2
Suppose -40*r - 56*r + 36800 = -4*r. Solve -r*n = -403*n - 6 for n.
-2
Suppose 31*o = 29*o - 2*m + 60, 2*m = -4*o + 108. Solve 45 = -o*u + 15*u for u.
-5
Suppose -179*a - 11*a = 198*a. Solve 1148*f - 1160*f + 108 = a for f.
9
Suppose 0 = -12*k + 7*k - 135. Let j(b) = -b**3 - 29*b**2 - 55*b - 27. Let n be j(k). Solve n*t = -5*t - 25 for t.
-5
Suppose 8*l - 211 + 59 = 0. Let f = l - 15. Suppose -p - 12 = -5*d, -2*p - f*d + d + 15 = 0. Solve -o - p*o = 0 for o.
0
Let m(s) = -3*s**3 - 103*s**2 - 42*s - 32. Let r be m(-34). Suppose -15*t = -27*t + r. Solve 20 = t*w - 16*w for w.
5
Suppose -32*k + 24*k + 40 = 0. Let p be (-70)/(-20) + 2/(-4). Suppose -4*c + 13 = -p, -2*c = 5*h - 33. Solve -k - 15 = h*m for m.
-4
Let g = -32168 - -32168. Solve g = -9*l + 33*l for l.
0
Suppose 41*t - 39*t - 5*o - 13 = 0, -5*t + 15 = 5*o. Solve -3*p + t = -5*p for p.
-2
Let j be 4/18 + 388/36 + 1. Suppose 0 = 5*d - j*d - 595. Let s = 89 + d. Solve s = -o - o for o.
-2
Let n(s) = s**2 - 3*s + 173. Let o be n(0). Let u = -172 + o. Solve 5*z + u = 26 for z.
5
Let b = -24744 - -25044. Solve -b = -39*s - 66 for s.
6
Let y(l) = -6*l**2 - 28*l - 149. Let j(v) = -v**2 + v + 1. Let g(q) = -5*j(q) + y(q). Let d be g(-27). Solve d*b - 2*b = 12 for b.
2
Let t be 3 - 3/6*150. Let s = t + 125. Suppose 9*r - 3*f - s = 4*r, -4*f = -r + 14. Solve 4*c = 9*c - r for c.
2
Suppose 4*w + 30*w = 238. Solve -w*m + 15 = 29 for m.
-2
Suppose 5*j + 4 - 6 = 2*d, -2*j - 4 = 4*d. Let v = 16 - 8. Suppose -3*k - k + v = 0. Solve z = -j + k for z.
2
Let i(u) be the third derivative of u**6/120 - u**5/4 + u**4/8 - 15*u**3/2 + 3*u**2 - u. Let q be i(15). Solve 2*a + q*a + 4 = 0 for a.
-2
Let h(l) = 2*l**2 + 9*l - 16. Let x be h(-6). Let i be (2 + 2)*-9*(-2)/12. Let j be 6/6*(-5)/((-15)/i). Solve x + j = 4*z for z.
1
Suppose -5*s + 6 = -2*s. Let p(n) = -n**3 + n**2 + 3*n + 3. Let u(x) = x. Let g(h) = p(h) + 2*u(h). Let d be g(3). Solve -8 = -d*c + s*c for c.
-4
Let c(y) = -y**3 + 9*y**2 - 16*y + 11. Let r be c(8). Let j = r - -16. Let a = j - -37. Solve a - 3 = 3*w for w.
-1
Let q be -15*32/12*-1. Let y(j) = 2*j - 8. Let l be y(7). Let h be 170/q + l/8. Solve 2*u + 3 = h*u for u.
1
Let w = -17638 + 17786. Solve -10*d + w = 108 for d.
4
Let l = -12 + 14. Let i(n) = -l*n - 27 + 3*n + 5*n. Let s be i(5). Solve s = 3*c - 3 for c.
2
Let y = 14246 - 14065. Solve -133 = -8*z - y for z.
-6
Let u = 982 + -960. Suppose -6*n = -3*n + 12, 2*w - 3*n = u. Solve 0 = 2*p + w*p - p for p.
0
Suppose -3*o + 318 = -18. Suppose j - 5*j + 5*g = -67, -4*j = 4*g - o. Solve 6*d - j - 7 = 0 for d.
5
Let f = -27 - -32. Suppose 0 = -f*r + 3*r + 4. Suppose -r*h - 10 = -20. Solve -5 = 10*j - h*j for j.
-1
Suppose 0 = -4*j - j + u + 43, -j + u = -7. Suppose -j*o = -6*o - 6. Solve o*n = 1 + 1 for n.
1
Suppose -167 = -3*x - 203*t + 201*t, -2*t = -2*x + 128. Solve -57*n = -x*n for n.
0
Let s(v) be the second derivative of -v**4/12 + 7*v**3/3 - 11*v**2 + | {
"pile_set_name": "DM Mathematics"
} |
of a(x) wrt x.
10
Let z(j) be the third derivative of 0*j**6 - 9*j**2 + 0 - 19/210*j**7 + 0*j**5 + 0*j - 17/12*j**4 + 0*j**3. What is the second derivative of z(n) wrt n?
-228*n**2
Suppose 4 = -3*j - 2. Let z be j/(-6) - 10/(-6). What is the third derivative of 2*p**6 + 4*p**z - 5*p**2 + 4*p**2 - p**2 wrt p?
240*p**3
Let f(a) = -a. Let i(v) be the first derivative of -8*v**3/3 - 1. Let g = -35 + 36. Let y(o) = g*i(o) + f(o). Find the second derivative of y(b) wrt b.
-16
Suppose -3*f - 90 = 2*f. Let n = f + 20. What is the third derivative of 4*w**4 - 12*w**4 - 2*w**2 - 4*w**n wrt w?
-192*w
Let t be (6/10)/(1/5 - 0). What is the third derivative of 18*y**3 - 11*y**2 - 3*y**3 + t*y**3 + 4*y**3 wrt y?
132
Find the second derivative of -61*a**5 + 295 + 378*a - 127*a - 295 wrt a.
-1220*a**3
Suppose -5*z = -11 + 11. Let a(w) be the second derivative of -3/2*w**2 + 0*w**4 + z - 1/2*w**5 + 0*w**3 - 11*w. Differentiate a(j) with respect to j.
-30*j**2
Let a(n) be the first derivative of -6*n**2 + 5 + 6*n - 3/2*n**3. Let t(h) be the first derivative of a(h). Differentiate t(y) wrt y.
-9
Let t(g) be the second derivative of -8*g**5/5 + g**4/12 + 55*g**2/2 - g + 8. Find the first derivative of t(h) wrt h.
-96*h**2 + 2*h
Let o(j) be the first derivative of -79*j**6/6 + 33*j**2 + 30. What is the second derivative of o(h) wrt h?
-1580*h**3
Let u(x) be the second derivative of -5*x**2 + 0*x**3 + 0*x**5 + 0 - 21*x + 0*x**4 + 17/30*x**6. What is the derivative of u(q) wrt q?
68*q**3
Let j(g) be the first derivative of -g**5 + 15*g**4/4 - 7*g**2 - g + 46. What is the second derivative of j(i) wrt i?
-60*i**2 + 90*i
Let i(v) = -3*v + 38. Let n be i(11). Find the third derivative of -39*q**5 + 3*q**2 - n*q**2 - 9*q**2 wrt q.
-2340*q**2
Let m = 13 + -13. Let g = 2 - m. What is the derivative of 5 + 2*w - g*w + 3*w wrt w?
3
Let q(h) = 6*h**2 + 43*h - 1137. Let r(p) = -4*p**2 - 28*p + 758. Let a(l) = -5*q(l) - 7*r(l). What is the derivative of a(t) wrt t?
-4*t - 19
Let b(i) = i**3 - 5*i**2 - 11. Suppose -5*d - 9 = -34. Let h(o) = o**3 - o**2. Let y(s) = d*h(s) - b(s). Find the first derivative of y(j) wrt j.
12*j**2
Find the third derivative of -83*d**2 + 41*d**6 + 78*d**4 + 79*d**4 - 156*d**4 wrt d.
4920*d**3 + 24*d
What is the derivative of 14*j**4 - 231 + 168*j**4 + 135 - 304 - 32*j**4 wrt j?
600*j**3
Let g(x) = 3 - 2 + 13*x + 3. Let a(f) = -14*f - 4. Let p = 197 - 194. Let t(i) = p*g(i) + 2*a(i). Differentiate t(d) with respect to d.
11
What is the second derivative of 14 - 73 - 51*p**2 - 98*p**2 - 5*p - 111*p**2 + 37*p**2 wrt p?
-446
Let q(l) be the third derivative of 259*l**5/60 - 5*l**4/8 - l**3/6 + 264*l**2. Find the second derivative of q(r) wrt r.
518
What is the second derivative of -135*j**5 - 231*j - 11 + 233*j - 112*j**5 - j**2 + 92*j**5 wrt j?
-3100*j**3 - 2
Suppose -9 + 13 = 2*s. Differentiate 0*d**2 - 1 + 9*d**2 - 9*d**s - 9*d**3 wrt d.
-27*d**2
Let n = -2 - -5. What is the second derivative of -15*v + 119*v**3 - 53*v**n - 61*v**3 wrt v?
30*v
Suppose -11*m + 148 = 49. Find the second derivative of 31*b**5 - 7*b**2 + 13*b - 5 + 6 + m*b**2 wrt b.
620*b**3 + 4
Suppose -2*l + 0*i + 12 = -i, l + i - 9 = 0. Differentiate 5*r + 8*r - 3*r - 6 - l wrt r.
10
Let j(k) be the first derivative of 511*k**3/3 + 144*k**2 - 899. Find the second derivative of j(l) wrt l.
1022
Suppose 0*o + 4*o - 32 = 0. Suppose -3*y + o*y = 10. What is the derivative of 1 - l + 3*l + y + 2 wrt l?
2
Let s(n) = -69*n**4 - 4*n**3 + 11*n**2 + 140. Let d(h) = 34*h**4 + 2*h**3 - 6*h**2 - 70. Let o(c) = -11*d(c) - 6*s(c). Differentiate o(f) with respect to f.
160*f**3 + 6*f**2
Suppose -4*b = -b - 18. Suppose 18 = -u + 4*u. What is the third derivative of 5*i**6 + i**b + 5*i**2 - 3*i**u wrt i?
360*i**3
Differentiate 5 - 40 + 77 + 83*a**2 + 94 with respect to a.
166*a
Let g(p) be the first derivative of 7*p**6/120 - p**5/10 + p**2 - 9. Let w(j) be the second derivative of g(j). Find the third derivative of w(k) wrt k.
42
Let a(w) be the first derivative of 21*w**5/20 + 8*w**4/3 - 9*w - 6. Let i(l) be the first derivative of a(l). What is the third derivative of i(h) wrt h?
126
Let y(l) be the second derivative of 349*l**4/12 - 2*l**3/3 - 25*l**2/2 + 12*l - 2. Find the second derivative of y(n) wrt n.
698
Suppose -2*j + 10 = 3*x + 3, 17 = 4*j + 5*x. Find the second derivative of 2*k - j*k**3 - 3*k**3 + 8*k + 0*k**3 wrt k.
-66*k
Let d be (0/(-1))/(1 - 2). Let b(h) = 4*h + 198. Let s be b(-49). What is the second derivative of d*c**s - 12*c + 0*c**2 + 4*c**2 wrt c?
8
Let d(y) be the third derivative of y**7/15 - y**6/60 + 11*y**4/24 + y**3/3 - 152*y**2. What is the second derivative of d(c) wrt c?
168*c**2 - 12*c
Let c = 10 - 5. Find the second derivative of -5*l - 7*l**5 + 17*l**c + l + 4*l**5 wrt l.
280*l**3
Let g(p) be the first derivative of 19*p**4/12 - 17*p**2/2 + 22*p - 11. Let z(l) be the first derivative of g(l). Differentiate z(x) with respect to x.
38*x
Let h = -43 - -39. Let b(a) = -41*a**3 + 26*a - 4. Let g(l) = 41*l**3 - 26*l + 3. Let t(f) = h*g(f) - 3*b(f). What is the second derivative of t(q) wrt q?
-246*q
Let b(d) be the first derivative of 24 + 0*d**3 + 0*d + 12*d**2 - 8/5*d**5 + 0*d**4. What is the second derivative of b(l) wrt l?
-96*l**2
Let r(o) be the third derivative of -1/24*o**4 + 1/30*o**7 + 0*o - 4*o**2 + 0*o**6 + 0 + 0*o**3 + 0*o**5. Find the second derivative of r(d) wrt d.
84*d**2
What is the third derivative of 145*z - 4*z**5 + 5*z**2 + 6*z**2 - 122*z - 110*z**3 + z**5 wrt z?
-180*z**2 - 660
Let r(m) be the third derivative of -319*m**7/210 + 11*m**5/20 - m**3 - 228*m**2. Find the third derivative of r(d) wrt d.
-7656*d
Let d(j) be the first derivative of j**8/140 - 3*j**4/4 - 14*j**3 + 35. Let q(p) be the third derivative of d(p). Differentiate q(i) with respect to i.
48*i**3
Let t(o) be the third derivative of -19*o**7/35 - 31*o**5/20 - o**4/24 - 28*o**2. Find the third derivative of t(u) wrt u.
-2736*u
Let a(v) = -1. Let h(r) = 9*r + 35 - 19 + 5*r. Let k(d) = -4*a(d) - 2*h(d). What is the derivative of k(n) wrt n?
-28
Let t be (-2)/((-1 - -2)*-1). What is the derivative of -2 + 202*s**2 - 2 - 220*s**t wrt s?
-36*s
Let m(f) be the second derivative of -f**7/21 + f**5 + 7*f**3/6 - 3*f - 2. Find the second derivative of m(k) wrt k.
-40*k**3 + 120*k
Let a be ((-20)/(-30))/(2/24). Suppose 0 = 8*f - 6*f - a. Find the first derivative of -1 + 0 + 2 - 2*d**4 + f wrt d.
-8*d**3
Find the third derivative of 271*z + 138*z**5 + 53*z - 467*z - z**2 wrt z.
8280*z**2
Let u(g) = g**3 - 8*g**2 - 8*g - 7. Suppose -10 = -h - 1. Let o be u(h). What is the third derivative of 42*c**2 + 8*c**4 + o*c**4 - 41*c**2 wrt c?
240*c
Let j(n) = -50*n**4 - 12*n**3 - 12*n + 244. Let m(i) = -48*i**4 - 10*i**3 - 10*i + 243. Let r(z) = 5*j(z) - 6*m(z). Differentiate r(v) wrt v.
152*v**3
Differentiate 477 + 2*f - 319 + 25*f**3 + 29*f**3 with respect to f.
162*f**2 + 2
Let s(r) = -123*r**3 - 30*r**2 - 11*r + 6. Let p(o) = 41*o**3 + 10*o**2 + 4*o - 2. Let m(t) = -11*p(t) - 4*s(t). Find the third derivative of m(c) wrt c.
246
Let x(k) be the first derivative of 139*k**2/2 + 24*k - 299. What is the first derivative of x(m) wrt m?
139
Let g = 10 + -5. Let y be (8/g)/(40/100). Differentiate 7*x**4 - 3 + 8*x**y - 5*x**4 - 3 wrt x.
40*x**3
Let r(v) be the third derivative of 179*v**6/120 + 133*v**4/24 - v**3/3 - 423*v**2. Find the second derivative of r(z) wrt z.
1074*z
Let k = 63 + -58. What is the first derivative of 0 - w + 2*w - k*w + 1 wrt w?
-4
Let h(v) = 20*v - 1. Let o(s) = 10*s - 1. Suppose 7*y - 2*y + 25 = -5*m, -4*y - 20 = 2*m. Let a(q) = y*o(q) + 2*h(q). Differentiate a(c) wrt c.
-10
What is the second derivative of 93 + 5*t**2 + 37*t**4 - 54*t**4 - t - 2*t**2 wrt t?
-204*t**2 + 6
Let a(j) be the third derivative of j**7/90 - 5*j**5/24 - 5*j**4/4 - 25*j**2. Let k(c) be the second derivative of a(c). Differentiate k(z) with respect to z.
56*z
Let v(r) be the second derivative of 7*r**4/6 + r**3/6 + 137*r**2/2 + 85*r. What is the derivative of v(c) wrt c?
28*c + 1
Let h(o) be the second derivative of o**5/20 + 15*o**4/4 - 112*o**3/3 - 225*o. Find the second derivative of h(y) wrt y.
6*y + 90
Let w(k) be the first derivative of 0*k**5 + 2*k**2 + 0*k**4 + 21 - 10/3*k**6 + 0*k**3 + 0*k. What | {
"pile_set_name": "DM Mathematics"
} |
remainder when b is divided by 31?
27
Let j(t) = t**3 + 8*t**2 + 14*t + 15. Let s be j(-6). Suppose -7*v + 59 = -s*v - 3*r, v + 5*r = 9. Calculate the remainder when 40 is divided by v.
12
Suppose -4*v - 43 = 1. Let m(u) be the third derivative of -u**4/6 - 16*u**3/3 - 715*u**2. Calculate the remainder when 47 is divided by m(v).
11
Let f(t) = -t - 39. Let l be f(-25). What is the remainder when ((-105)/l)/(3/6) is divided by (-3)/15 - 112/(-10)?
4
Let b be (-26)/(-12) - (-12)/(-72). Suppose b*q + 2*q = 72. Suppose 212 = 4*g + m + 3, 5*g - 256 = 4*m. Calculate the remainder when g is divided by q.
16
Suppose -23*q = -58*q + 2084 + 13526. What is the remainder when q is divided by 28?
26
Let g = 59 + -86. Let l(c) = -c**3 - c**2 + 26. What is the remainder when l(0) is divided by (11/3)/((-9)/g)?
4
Let j(i) = 94*i + 33. Calculate the remainder when 122 is divided by j(0).
23
Suppose 37 = v - 0. What is the remainder when v is divided by (-2)/12 + (-158)/(-5)*250/600?
11
Let f be 10*644/(-70)*(-1)/2. Suppose 2*g - 92 = f. What is the remainder when 275 is divided by g?
68
Suppose -5*c - 4*z + 184 = -z, 180 = 5*c + 5*z. Let s = 1053 - 828. Calculate the remainder when s is divided by c.
35
Suppose -19*g - 106 + 201 = 0. Calculate the remainder when g*((-31)/(-20))/(5/40) is divided by 23.
16
Suppose 3639 = 14*g - 2157. Let d = -186 + g. Calculate the remainder when d is divided by 11.
8
Let y = -1596 - -1607. What is the remainder when 493 is divided by y?
9
Suppose 19*s - 25*s = 1356. Let p = -145 - s. Calculate the remainder when p is divided by 45.
36
Let g = -28904 + 28933. Calculate the remainder when 774 is divided by g.
20
Let v be -17 + -4*(-2)/4. Let q = v + 21. Let b = -6753 + 6804. Calculate the remainder when b is divided by q.
3
Suppose 0 = 2*o + 3*u - 194, -4*u - 49 = -33. Suppose -3*g = g + 288. Let a = o + g. Calculate the remainder when a is divided by 17.
14
Let t(d) = -2*d**2 - 529*d - 16040. Let m = 84 - 9. What is the remainder when m is divided by t(-35)?
0
Suppose 4*k - 52 = -q, -q + 0 = -2*k - 4. Calculate the remainder when 347 is divided by q.
7
Suppose 2*i + 47*w - 51*w - 14778 = 0, 28 = 4*w. What is the remainder when i is divided by 16?
11
Suppose 0 = -9*q - 51 + 465. Suppose 0 = -5*t + 525 + 850. Calculate the remainder when t is divided by q.
45
Suppose 5*u + 2*i = 3367, 4*i + 860 = u + 169. What is the remainder when u is divided by 68?
63
Let m = 2 + 78. Let n = -138 - -84. Let h = m + n. What is the remainder when 75 is divided by h?
23
Let n = -4 - -171. Let b = n - 128. Suppose 388 = -0*h + 2*h. Calculate the remainder when h is divided by b.
38
Let g(s) = 7*s + 1. Let l be g(2). Let m be (-2 - l/(-6))*141*2. Let z = m - 59. What is the remainder when z is divided by 42?
40
Let c(h) = 2*h**2 + 10*h - 11. Let k be (-60)/4 + 2*(-1)/(-1). What is the remainder when c(k) is divided by 39?
2
Let t = 55 + -52. Suppose -t*c + f = c - 179, -4*f = 4*c - 184. Suppose -c = 10*o - 11*o. What is the remainder when o is divided by 8?
5
Suppose n - 3044 = -3*n + 5*z, -3822 = -5*n + 2*z. Calculate the remainder when n is divided by 172.
78
Let c = 9 + -7. Suppose 3*h = c*h + 199. Suppose 514 = 5*j + h. Calculate the remainder when j is divided by 22.
19
Let n(r) = -2*r**3 + 8*r**2 + r - 9. Let c be n(3). Calculate the remainder when 38 is divided by 4/c - (-3)/((-9)/(-35)).
2
Let q = 1 + 129. What is the remainder when (52/q)/((-2)/(-215)) is divided by 24?
19
What is the remainder when (8*-1)/2 + (-93702)/(-73 - -4) is divided by 670?
14
Let v(m) be the second derivative of 2*m**4/3 - 7*m**3/6 - 5*m**2/2 + 13*m. Calculate the remainder when v(-2) is divided by 206/13 - (-16)/104.
9
Let x(n) = n**3 + 37*n**2 - 47*n - 221. What is the remainder when x(-38) is divided by 32 + 0/3 + 2?
19
Let p(d) = 13*d + 4*d**2 + 5*d**2 + 2*d**2 - 5*d**2 - 48 - d**3. What is the remainder when 208 is divided by p(5)?
40
Let o = -94 - -96. Suppose 5*p + 5 = 3*v - 7, 12 = o*v - 2*p. Calculate the remainder when 142 is divided by v.
7
Let p = -11742 - -12464. Calculate the remainder when p is divided by 237.
11
Suppose 24*r - 143 = 457. Calculate the remainder when (29/2 + 2)*66/9 is divided by r.
21
Let w be -38*(-2 - 51/6 - 4). Let j = -424 + w. Calculate the remainder when j is divided by 44.
39
Suppose 272 + 530 - 53 = 7*x. What is the remainder when 172 is divided by x?
65
Let i = -301 - -425. Let j = -105 + i. What is the remainder when 474 is divided by j?
18
Let i = -3456 - -3525. Calculate the remainder when 110 is divided by i.
41
Suppose 40 = 2*f + 28*l - 31*l, 3*f + 4*l - 43 = 0. Let o(j) = -j**2 + 9*j - 1. Let t be o(7). Let z = 20 - t. Calculate the remainder when f is divided by z.
3
Let s(n) = 13*n**2 - 2*n - 16. Let g be s(-3). Suppose -5*t - 492 + 182 = 0. Let l = g + t. Calculate the remainder when l is divided by 17.
11
Let g = -3823 - -4239. Calculate the remainder when g is divided by 25.
16
Let q(l) = -2*l**3 + 103 - 18*l - 29*l**2 - 223 + 112. What is the remainder when q(-14) is divided by 35?
13
Let y = 3116 + -3030. Let t(i) = -10*i + 2. Calculate the remainder when y is divided by t(-2).
20
Suppose 9*y - 7084 + 2296 = 0. Suppose -6*a + y = -362. What is the remainder when a is divided by 8?
5
Suppose -3*y + 4*d = -303 - 134, 5*y - 670 = -5*d. What is the remainder when 7921 is divided by y?
137
Suppose 0 = -2*p - 2*h + 20, -12*p + 13*p + 2*h - 12 = 0. What is the remainder when 44 is divided by p?
4
Let j(c) = 8*c - 1. Let p = 12137 - 12063. What is the remainder when p is divided by j(1)?
4
Let w = 5496 - 3949. What is the remainder when w is divided by 129?
128
Let b(r) = -r**3 + r**2 + r + 1. Let u be b(0). Let o be ((-432)/(-1512))/(2/(-28)). Let w = u - o. What is the remainder when w is divided by 3?
2
Suppose 60 = 3*c - 48. Calculate the remainder when (-8)/c*3*3*-2 is divided by 3.
1
Suppose 8*p + 195*w = 192*w + 2436, 2*w - 8 = 0. What is the remainder when 647 is divided by p?
41
Let f(i) = i**2 - 44*i + 183. Calculate the remainder when 916 is divided by f(40).
19
Let u be (-7)/(35/(-25)) + -3. Suppose -u*z - 254 = -4*x, 3*x + z + 55 = 248. Calculate the remainder when x is divided by 12.
4
Let x = 597 + -570. Calculate the remainder when (-4)/((-32)/24) + x is divided by 18.
12
Let y = 21 - 10. Let j(w) = y + 42*w - w - 14. What is the remainder when j(1) is divided by 21?
17
What is the remainder when (2 + -2)*(-5)/(-5) - (-11604)/12 is divided by 11?
10
Suppose 0 = 2*g - 4*p - 110, 65 = 5*g + p - 210. Let x = 563 - 692. Let s = x + 136. Calculate the remainder when g is divided by s.
6
Let h(j) = j**2 + 1525*j - 4581. Suppose -2*d + 50 = -0*d. What is the remainder when d is divided by h(3)?
1
Let c(k) = 155*k**2 - 3*k - 5. Suppose 4*j + 2*t + 3 + 5 = 0, j = 5*t + 9. Calculate the remainder when c(j) is divided by 31.
29
Let c be 18/6*45/27. What is the remainder when ((-2430)/60)/((c/6)/(-5)) is divided by 82?
79
Let b = 30 - -23. Let s = -21 + b. Suppose 4 = v, 0 = -z + 5*z + 2*v - 380. Calculate the remainder when z is divided by s.
29
Suppose -18*b = 1655 - 2807. What is the remainder when 173 is divided by b?
45
Suppose -219 = -i - m, 9*i + 2*m = 6*i + 661. Suppose -i - 149 = -6*n. Calculate the remainder when n is divided by 22.
18
Suppose 12 = 4*q + 4. Suppose -9 = -k - 2*k. Calculate the remainder when (22 - 17) + q/1 is divided by k.
1
Let c(a) = -4*a - 10. Let x be c(-3). Suppose 5*r = x*r + 3. Suppose 31 - r = 3*k. Calculate the remainder when 88 is divided by k.
8
Let h(l) = 5*l + 93. Suppose 0 = -q + 9. Let x = 13 + q. What is the remainder when h(-10) is divided by x?
21
Let a = 365 + 166. Suppose 2*p - 5*p = -a. What is the remainder when p is divided by -7 + -1 - (-3168)/72?
33
Let s = -6777 - -7055. Calculate the remainder when 9451 is divided by s.
277
Let c = -670 - -1356. Calculate the remainder when c is divided by 228.
2
Suppose 0 = 54*s - 353 - 1105. Calculate the remainder when 935 is divided by s.
17
Suppose 184*g - 24*g - 10720 = 0. Calculate the remainder when 656 is divided by g.
53
Suppose -5*d + 7 = 2*u, 2*d = 3 - 5. Let g be (-17)/(-3) - u/(-18). Calculate the remainder when 88 is divided by 1/(-2) + ((-1281)/g)/(-7).
28
Let v = -3240 + 3789. What is the remainder when v | {
"pile_set_name": "DM Mathematics"
} |
k**2 - 4*k + 4*k + k**2 + (1 - 1 - 2*k)*(-3 + k + 3)).
-9*k**3
Expand (0 - 1 - 2 + (-4 + 0 + 2)*(2 + 3 - 3))*(4*z**3 + 2*z**3 - 5*z**3)*(0 + 0 - z**2).
7*z**5
Expand (-4*d**3 + 0*d**3 + 0*d**3)*(-3*d + 0*d + 2*d) - 3*d**3 + 3*d**3 - d**4.
3*d**4
Expand (4*d**2 + 3*d - 3*d)*(2*d + 2*d - d) + 6*d**2 - 2*d**3 - 6*d**2.
10*d**3
Expand (0*k - 2*k + 4*k)*(39 - 41 - 9*k**2 - 2*k**2).
-22*k**3 - 4*k
Expand 0*u**2 - 10*u**2 - u**2 + (4*u - 5*u - u)*(0*u + 0*u + u).
-13*u**2
Expand (29 - 113 + 37)*(v - 3*v + 3*v)*(v - 2 + 2).
-47*v**2
Expand (3*x**4 + 603 - 584 - x**3 - 5*x**4)*(1 + 0 + 0).
-2*x**4 - x**3 + 19
Expand (-4*o - o + 4*o)*(242 + 2*o - 242) + 2*o**2 - 6*o**2 + 2*o**2.
-4*o**2
Expand (-2 + 5*d - 2*d + d)*(d**3 - 3*d**3 + d**3).
-4*d**4 + 2*d**3
Expand (-15 - 11 - 25)*((-3 + 0 + 4)*(0*a + a + 0*a) + 1 - 1 + 2*a).
-153*a
Expand (-3*v - v - v)*(-1 + 1 + 4).
-20*v
Expand u**5 - 3*u**4 + 3*u**4 + (-3*u**2 + 3*u**2 + u**4)*(-2 + 2 - u) + 2*u**5 + 1 - 1 - u**5 + 2*u**5 + 5*u**5 - 7*u**5 + 38*u**3 - 38*u**3.
u**5
Expand 3*z - 2*z + 0*z + (-1 - 3 + 2)*(-3*z - 3*z + 4*z) + 0*z - 3*z + 2*z - 1 + z - z - z + 3*z + z - 2 + 4.
7*z + 1
Expand (-4*l**4 + 4*l**4 - l**4)*(-4*l - l + l) + l**5 - 2*l**5 + 4*l**5.
7*l**5
Expand -j**5 + 3*j**5 - 11*j**5 + (2*j**3 + 1 - 1)*(4*j**2 - 2*j**2 - j**2).
-7*j**5
Expand (5 - 5 - 1)*(y**3 - y**2 + y**2) + 6*y - 6*y + 7*y**3 + (2*y**2 - 3*y**2 + 0*y**2)*(2*y + 2*y - 2*y).
4*y**3
Expand (2*o + 1 + 0 + 0)*(-8*o + 3 - 2 - 2*o).
-20*o**2 - 8*o + 1
Expand (-3*z**3 - z**4 + 3*z**3)*(-14 - 23 + 5).
32*z**4
Expand -103 - 19*i**4 + 103 + (4*i**2 + 2*i**2 - 4*i**2)*(-5*i**2 + i**2 + 2*i**2) + 6*i**3 - 4*i**4 - 6*i**3.
-27*i**4
Expand t**2 - 2*t**2 + 3*t**2 + (2*t + 0*t + 0*t)*(3*t - 4*t - 5*t).
-10*t**2
Expand 0*l**2 + 3*l**2 - l**3 - l**2 + (-3*l + l**3 + 3*l)*(-2 - 3 + 1).
-5*l**3 + 2*l**2
Expand (-4 - 2*a + 4)*(-6 - 4 + 8) + 2*a + 3*a - 3*a - 2 - 2*a + 2.
4*a
Expand (4*c + 4*c**3 - 4*c + 3*c)*(0*c + 0*c - 2*c**2).
-8*c**5 - 6*c**3
Expand (-2*r + 4*r - r)*(3*r + 2 + 4*r - 5*r)*(15 - 15 + 4*r**2)*(-5*r + 3*r + r).
-8*r**5 - 8*r**4
Expand (-b**4 - 3*b**4 + 3*b**4 + b + b**4 - b + (-b**3 + 2*b**3 + b**3)*(-b + 0 + 0) - 9*b**4 - 7 + 7)*(-2 + 4 - 4).
22*b**4
Expand -710*v**2 + 15*v - 4*v + 714*v**2 + 1 + (-2*v + 0*v + 0*v)*(1 - 1 - 2*v).
8*v**2 + 11*v + 1
Expand -d**3 + 3*d**3 - 4*d**3 + 0*d**3 + 2*d**3 - 3*d**3 + (-d**2 + 3*d**2 - 4*d**2)*(d + 4 - 4) - 4*d**3 + 0*d**3 + 3*d**3 - 5*d**2 + 5*d**2 + d**3.
-5*d**3
Expand (3 + 0 + 0)*(4*s - 7 + 7) + 3*s + 0*s - s + 4*s - s - 4*s.
13*s
Expand (4*q - 3*q - 2*q)*(-7 - 4 + 4)*(1 + q - 1).
7*q**2
Expand (-5 + 2 + 1)*(12 + 4 - 3)*(2*a + 1 - 1)*(-4*a + a**2 + 4*a).
-52*a**3
Expand -2*u**3 + 0*u**3 + 4*u**3 + (5*u - 4*u + u)*(2*u**2 - u + u) - 5*u**3 + 3*u**3 + u**3 + (4 - 4 + 2*u**2)*(u - 2 + 2).
7*u**3
Expand (-2*t**2 + 2*t**2 + 2*t**2)*(-5 - 28*t**2 + 5).
-56*t**4
Expand -z + z + z - 2 - 5*z + 2*z + 0 + (0*z + 0*z - 2*z)*(-2 + 4 + 0).
-6*z - 2
Expand (-2 + 2 + o)*(-5*o**2 + 5*o**2 - o**2) + 351*o**3 - 348*o**3 + 0*o - 5*o.
2*o**3 - 5*o
Expand 0*z + 2*z - 4*z + (-3 + 1 - 3)*(1 + 0 + 0)*(-12 - 6*z + 12).
28*z
Expand -x**3 - 2*x**4 + x**3 + (2*x + 2*x - 3*x)*(x**2 + 2*x**3 - x**2) - 196 + 196 + 5*x**4.
5*x**4
Expand -4*r**4 + 0*r**4 + 3*r**4 + (-2 + 1 + 0)*(2*r**4 + 4*r**4 - 5*r**4) + 2*r**2 + 2*r - 2*r - 2*r**4.
-4*r**4 + 2*r**2
Expand 2 - 2 + h + (-1 + 1 - 2)*(2*h - 4*h + 0*h) + (-4*h - h + 3*h)*(4 + 1 - 3).
h
Expand (2 - 4 + 3 + (0 + 4 - 3)*(0 + 0 + 2))*(3*w**4 + 4*w**4 - w**4).
18*w**4
Expand (-1 - 3 + 2)*(-t**2 + t**2 - t**2) + t**2 - t**2 + 2*t**2.
4*t**2
Expand 3*a**2 - 3*a**2 - a**3 + (0*a**2 - 5*a**2 + 4*a**2)*(-2*a + 1 - 1) + (0*a + a**2 + 0*a)*(0*a - a + 3*a).
3*a**3
Expand 0 + 0 - 2*u**3 + (3*u - 6*u - u)*(-2*u**2 + 4*u**2 - u**2).
-6*u**3
Expand (2*p - 4*p + 3*p)*(2*p - 3*p - 8*p) + (4*p - 3*p - 3*p)*(-p + 0*p + 0*p) + 4 + p**2 - 4.
-6*p**2
Expand -3*x**5 - 2*x**2 + 2*x**2 + (-x + x + x**4)*(1 - x - 1) - 6*x**5 + 3*x**5 + x**5 + 0 + x**5 + 0.
-5*x**5
Expand (2 - 2 - r**3)*(13 + 1 + 16).
-30*r**3
Expand (0*l**2 + 3*l**2 - 2*l**2)*(-2*l + 2 - 2)*(1 + 3*l - 1).
-6*l**4
Expand (3*v + 0*v + 0*v)*(-5 + 1 + 2 + 2*v).
6*v**2 - 6*v
Expand (-3*n**4 - n**4 + 2*n**4)*(4*n - 3*n - 2*n)*(-2 + 2 - 2).
-4*n**5
Expand (-4 + 4 + 2*j)*(j + 7*j**2 - 4*j - 10*j**2).
-6*j**3 - 6*j**2
Expand 5*k**5 - k**5 + k**5 + (7*k - 4*k - 4*k)*(3*k**4 + 2*k**4 - 7*k**4) + 0*k**4 + 2*k**5 + 0*k**4.
9*k**5
Expand 8*f**3 - 12 + 12 + (f**2 - 2 + 2)*(-f + 1 - 1).
7*f**3
Expand (-11*o + 2*o + 3*o)*(-2*o - 2*o + 3*o)*(-3 + 3 + 2).
12*o**2
Expand -j + j + 2*j + (-j + 2*j - 2*j)*(1 + 0 + 1)*(3 - 2 - 2).
4*j
Expand (3 - 4 - 6)*(2 + y**3 - 2).
-7*y**3
Expand (0*v - v - 2*v)*(-6 + 6 + v + (2 + 2 - 6)*(0*v - 2*v + 3*v)).
3*v**2
Expand (5*a - 3*a - 6*a)*(-2 - 2 - 1)*(-2 + 2 - a).
-20*a**2
Expand (-g - 2 + 2)*(4 + 15*g - 3 - 16*g).
g**2 - g
Expand (-4*a + 4*a - a)*(4 - 4 - 1)*(-3*a + 2*a - 2*a).
-3*a**2
Expand (2*p + 2 - 2)*(0 + 3 - 1) + (3 + 0 + 3 - 3 + 2 + 3 + (2 + 3 - 4)*(0 - 6 + 4) + 2 - 5 + 1 - 3 - 2 + 3)*(p + p - p).
6*p
Expand ((2 - 2 - 2*z)*(0 + 7 + 6) - 1 + 1 - 2 - z)*(2 + 0 + 1).
-81*z - 6
Expand (0*j + 0*j + j)*(10 - 3 - j - j) + (1 - 1 + j)*(0 + 0 - 2*j).
-4*j**2 + 7*j
Expand (5*k - 2*k - 5*k)*(0*k + 2*k + 0*k) + 6 - 6 - 2*k**2 - 3*k**2 + 5*k**2 - 4*k**2 - 2*k**2 + 2*k**2 + k**2.
-7*k**2
Expand (-2*d**2 - d**2 + 0*d**2)*(-12 - 8*d + 12) + (-2*d**3 + 4*d**2 - 4*d**2)*(4 - 4 + 1).
22*d**3
Expand (-1 + 3*n + 1)*(2 - 8 + 2).
-12*n
Expand (-s**2 + 5*s**2 - 6*s**2)*(1 + 1 - 3) - 18 - 7*s**2 + 18.
-5*s**2
Expand 8*q**2 - 8*q**2 - 4*q**4 + (q**3 + 3 - 3)*(1 - 1 + q) - 3*q**2 + 3*q**2 + q**4 + 3*q**4 - 10*q**4 + 2*q**4.
-7*q**4
Expand (-w**2 + 1 - 1)*((-w**2 - w**3 + w**2)*(0 + 3 - 37) + w**3 + 3*w - 3*w).
-35*w**5
Expand (-3*y**2 + y**2 + y**2)*(y + y + y) - 4*y**3 + 19*y**3 - 2*y**3.
10*y**3
Expand (-b - 5*b + 3*b)*(-b**3 - 1 + 1) + (3*b**2 - b**3 - 3*b**2)*(3*b - b + 0*b).
b**4
Expand (-3*r + 3*r - r**2)*(2 - 2 - 2*r) - 6*r**3 + 2*r**3 + 3*r**3 - 2*r**3 + 2*r**3 + r**3 + 0*r**3 + 2*r**3 - 3*r - r - 6*r**3 + 5*r**3 - r**3.
2*r**3 - 4*r
Expand -19 + 414*g - 414*g - 3*g**2 - 2*g**2 + 0*g**2 + 3*g**2 + (5*g - 3*g - g)*(3*g - 2*g - 3*g).
-4*g**2 - 19
Expand (0*f**2 - 2*f**2 + 4*f**2)*(3*f**3 - 2*f**3 - 3*f**3) - 2*f**5 + 6*f**5 - f**5.
-f**5
Expand -2*t**5 + 2*t**5 + t**5 + (3*t - 2*t - 2*t)*(-2*t**3 - 3*t**3 + 3*t**3)*(5*t - 17*t - 11*t).
-45*t**5
Expand (0 + 0 - 2*w)*(-2 + 2 - 6*w)*(0 - 2 + 1).
-12*w**2
Expand (-1 - 1 - 1)*(-7 + 91*k - 87*k + 0).
-12*k + 21
Expand -l**3 - 2*l + 7*l**4 + 3*l + 0*l**3 + l - l - 3*l**4 + (1 - 3 + 3)*(0*l**4 - 2*l**4 + 3*l**4).
5*l**4 - l**3 + l
Expand (59*o - 59*o - 21*o**4)*(-2 + 0 + 3)*(-2*o + 2 - 2).
42*o**5
Expand (-4*g**2 + 5*g**2 + 0*g**2)*(-g**2 - 12 + 2*g**2 + 17).
g**4 + 5*g**2
Expand (-z - z + 0*z)*(24*z + 125 - 125)*(z + 1 - 1) + 0*z**3 + 4*z**3 - 2*z**3.
-46*z**3
Expand (-6*m + 12*m + 9*m)*(6 + 5 - 7).
60*m
Expand 2*b**4 + 3*b**3 - 3*b**3 + (-5*b**2 + 4*b**2 + 3*b**2)*(-1 + 1 + b**2) + 0*b - 3*b**4 + 0*b.
b**4
Expand (-2*w - w + 2*w)*(-2*w**3 - w**3 - 5*w**3).
8*w**4
Expand (0*d**5 - d**5 - d**5)*(8 + 12 - 7) - 2*d**4 + 2*d**5 + 2*d**4.
-24*d**5
Expand 3*m + m**4 - 3*m - 4*m**4 + 2*m**4 + 3*m**4 + (0*m**3 + 4*m**3 - 2*m**3)*(m + m - m) - 3 + 3 - m**4 + 41*m**4 - 34*m**4 + 28*m**4 + 1.
38*m**4 + 1
Expand 0*y - y + 3*y + 3*y + 0*y - 2*y + (-2*y + 3*y + y)*(3 + 0 - 2).
5*y
Expand (0 + 1 + 0)*(3*i**2 + 0*i + 0*i)*((1 + 3 - 3)*(-9*i + 9*i + 5*i**2) - 3*i**2 + i**2 + i**2 + (-1 - 2*i + 1)*(2*i + 2*i - 5*i)).
18*i**4
Expand (-1 - 4 + 2)*(-7*n - 1 + 1 + (0*n - 2*n + 4*n)*(1 + 1 - 4) + 2*n - 4*n + 4*n + 5*n - n - 3*n).
24*n
Expand -3*x**4 + 2*x**4 - 2*x**3 - x**4 + (2*x**2 + 0 + 0)*(-27*x**2 + 283 - 283).
-56*x**4 - 2*x**3
Expand (0 - 2*d**2 + 2*d + 0)*(-5*d**3 + 0*d**2 + 0*d**2).
10*d**5 - 10*d**4
Expand (-2*m**3 + 5*m**3 - 6*m**3)*(-3*m + m + 3*m + (m - 3 + 3)*(0 - 3 + 1)).
3*m**4
Expand (2*z - z - 5*z)*(1 - 2 + 2) - 2*z + 4*z - 3*z.
-5*z
Expand 0*w**2 + 0*w**2 - 2*w**2 + 1 + (-w - w + 5*w)*(2*w - 5*w + 4*w).
w**2 + 1
Expand (-3 + 0 + 1)*(5 - 4 - 2)*(-r**4 + 5*r**4 + 0*r**4).
8*r**4
Expand (2*x**3 + x**3 - 4*x**3)*(-x**2 + 2*x**2 - 2*x**2).
x**5
Expand (-2*j + 0*j - 4*j)*(-j + j - 2*j**2).
12 | {
"pile_set_name": "DM Mathematics"
} |
ors of 8/10 - (-186)/u.
7
Suppose 2*t = -z + 110, 5*z = t - 4*t + 578. List the prime factors of z.
2, 59
Let k = -1 + 16. Let q be (-15)/25 + 915/25. Let c = q - k. List the prime factors of c.
3, 7
Let o be (16 + -1)/((-2)/2). Let w = o + 21. List the prime factors of w.
2, 3
Let c = 72 - 51. What are the prime factors of c?
3, 7
Suppose -o + 36 = -0*v - 5*v, 0 = -2*v + 2*o - 16. Let r be 1 - (v*13 - -2). Suppose 5*t = r - 25. List the prime factors of t.
13
Suppose x - 38 = -k + 2*x, k - 3*x = 30. What are the prime factors of k?
2, 3, 7
Let o(w) = 7*w**2 + w - 2. List the prime factors of o(2).
2, 7
List the prime factors of (4 - 0)*(-9)/(-12).
3
Suppose 0 = -p + 1 + 2. Let x = 7 - p. Suppose -5*c - 46 = -2*s, -x*s + 5*c + 28 = -3*s. List the prime factors of s.
2, 3
Let p = -9 + 12. Let s be 0 - p - (-24)/(-8). Let r = s + 21. What are the prime factors of r?
3, 5
Let m(k) = -2 - 1 + 0 + 3*k + 1. Let y(w) = w**2 - 2*w - 5. Let r be y(4). List the prime factors of m(r).
7
Let i(t) = 2*t**2 + 11*t + 9. Let p be i(-7). Let n = p + -28. What are the prime factors of n?
2
Let v(z) = -z + 1. Let k(m) = 6*m - 6. Let i(h) = -2*k(h) - 11*v(h). Let a be i(1). Suppose 3*p - 11 - 10 = a. What are the prime factors of p?
7
Let x(h) be the second derivative of -h**3/2 + 7*h**2/2 - 3*h. Let l be x(5). Let f(r) = -r - 1. List the prime factors of f(l).
7
Suppose 1 = w, -n - w = 2*w - 122. What are the prime factors of n?
7, 17
Suppose -4*r + 73 = y, 2*y + 101 = 4*r + r. What are the prime factors of r?
19
Let h(x) be the first derivative of x**4/4 - x**2/2 + 22*x - 1. Let k = 13 + -13. What are the prime factors of h(k)?
2, 11
Let n = 1 - -55. What are the prime factors of n?
2, 7
Suppose 4*u + 130 = 5*o - 0*u, 4*u - 20 = 0. List the prime factors of o.
2, 3, 5
Let x be (8/5)/((-2)/(-10)). What are the prime factors of (x/5)/((-1)/(-5))?
2
Let x = 93 - 51. What are the prime factors of x?
2, 3, 7
Let d = -25 - -14. Let w(n) = -n**2 - 11*n + 12. List the prime factors of w(d).
2, 3
Suppose 5*i - 2*a = 368, 0*i - 5*a = -5*i + 365. List the prime factors of i.
2, 37
Let j be 30/(-25)*5/(-2). Suppose j*g + 5*m - 40 = 0, 5*g + 0*g + m - 30 = 0. Suppose 3 + g = 2*w. What are the prime factors of w?
2
Let d be 3 + 0/(-5 + 3). Suppose d*s - q - 44 = -0*s, -3*q + 3 = 0. What are the prime factors of s?
3, 5
Let k be -5*((-11)/5 - -1). Let h(p) = 45*p. Let t(g) = -5*g. Let y(w) = k*h(w) + 55*t(w). List the prime factors of y(-1).
5
Let x be (-1)/8 + (-2499)/(-24). Suppose 5*s - x = s. List the prime factors of s.
2, 13
Suppose -h - 2*h = -30. Suppose -d - h = -6*d. What are the prime factors of d?
2
Suppose 3*m + 2*g + 44 = 197, -g = 3*m - 153. Suppose k + 115 = 4*q + 34, m = 4*q + 5*k. What are the prime factors of q?
19
Let t(o) = o + 10. Let s be t(-8). List the prime factors of (-11)/(-4) + s/8.
3
Suppose -93 = -4*g + 547. What are the prime factors of g?
2, 5
Let y(a) = -28*a - 35. What are the prime factors of y(-7)?
7, 23
Suppose 137 = 2*m - 67. List the prime factors of m.
2, 3, 17
Let p(k) = -2*k**3 - k**2 - 4*k + 5. List the prime factors of p(-4).
7, 19
Suppose -151 = -2*j - 0*b - 3*b, j = b + 83. List the prime factors of j.
2, 5
Let t = 18 + -8. Let d(j) = 2*j + 12. What are the prime factors of d(t)?
2
Suppose -103 = 5*r - v, -5*r - v = 52 + 55. Let a = 28 - r. List the prime factors of a.
7
Let z = 40 + -5. What are the prime factors of z?
5, 7
Let z(k) = -4*k. Let c be z(-1). Let l be (-6)/5*(-10)/c. Suppose -l*t + 17 = -4. What are the prime factors of t?
7
Let g = 12 - 7. Suppose -g*i + 3*v - 48 = -0*v, 2*v + 8 = 0. List the prime factors of i*(2/(-4))/1.
2, 3
Suppose -t - 4*m = -11, 2*t + 44 = 6*t - 3*m. Let f = -28 - t. Let o = f + 55. List the prime factors of o.
2
Let z = 28 - -12. What are the prime factors of z?
2, 5
Let l(i) = -73*i**3 - 2*i**2 + 1. Let u be l(-1). Suppose 4*a + u = 8*a. What are the prime factors of a?
2, 3
What are the prime factors of (-508)/8*-1 + 2/(-4)?
3, 7
Suppose k - 5*d - 10 = 0, 0*d - d = 5*k - 24. Suppose k*u = -3*y + 18 + 24, -56 = -4*y + 4*u. List the prime factors of y.
2, 7
Suppose w - 83 = -4*r, 0 = -r + 2*w + 21 + 11. List the prime factors of r.
2, 11
Suppose -101 = -5*v + 109. List the prime factors of v.
2, 3, 7
Suppose -5*f + 5 = -2*f - 2*p, 0 = -5*f - 3*p + 2. Let r = f + 2. Let w = r - -7. What are the prime factors of w?
2, 5
What are the prime factors of (234/(-24))/(1/(-4))?
3, 13
Let h = -9 - -5. Let p = -1 - h. Suppose 0 = 5*w - p*w + 4*f + 16, 3*f = 4*w - 23. List the prime factors of w.
2
Let m be 3/((-3)/((-9)/(-1))). List the prime factors of ((-64)/12)/(3/m).
2
Suppose -60 = -2*z - 3*k + 5*k, z = -4*k + 35. Suppose -3*s + z - 79 = 0. Let v = s + 23. What are the prime factors of v?
7
Let n = 22 - -56. What are the prime factors of n?
2, 3, 13
Suppose 653 = -2*b + 5*b + 4*s, -b - 4*s + 215 = 0. List the prime factors of b.
3, 73
Suppose 2*y + 2*y + 5*u = 28, -3*y = -4*u + 10. Let x(j) = -3 + 3 - 4 + 6*j**y - j**3 - 4*j. What are the prime factors of x(4)?
2, 3
Let t(k) = k + 34. List the prime factors of t(-26).
2
Let m = -5 + 7. Let y = 10 - 9. List the prime factors of (y - m)*(-3 + -8).
11
List the prime factors of (-8)/(42/(-40) - -1).
2, 5
Let k(v) = -51*v**3 - 1. List the prime factors of k(-1).
2, 5
Suppose -3*m + 144 = l - 317, 608 = 4*m - 2*l. List the prime factors of m.
3, 17
Let z be 3/18*-2*-12. Suppose -3*j + 13 = z*p, p - 3*p = 4. What are the prime factors of j?
7
Let a = 156 - 56. Suppose 0 = 8*g - 3*g - a. List the prime factors of g.
2, 5
Let c be 3 + -2 + 2 + -1. Suppose 0 = 4*w - c*g - 38, -w - g + 14 = -3. Suppose 5*i - 2*i - w = 0. What are the prime factors of i?
2
Let r be (22 + 1)/((-1)/(-2)). What are the prime factors of r/14 + 6/(-21)?
3
Suppose -9 - 9 = -3*a. What are the prime factors of a?
2, 3
Suppose 4*b - 10 = 226. What are the prime factors of b?
59
List the prime factors of ((-516)/16)/((-3)/96*6).
2, 43
Let l be (-2)/(-3) + (-654)/(-18). Suppose 2*w + n = -w + 38, 2*n - l = -3*w. What are the prime factors of w?
13
What are the prime factors of (-3)/((-18)/4) - 313/(-3)?
3, 5, 7
List the prime factors of (-1 + 190)*(144/21 + -6).
2, 3
Let q(t) = 4*t**2 - 16*t + 54. List the prime factors of q(6).
2, 3, 17
Let m = 0 - -20. List the prime factors of (-2 - -1)/((-2)/m).
2, 5
Suppose n = 2*n + 393. List the prime factors of (-6)/(-21) - n/21.
19
Suppose 0 = 5*f - 853 - 1067. List the prime factors of f.
2, 3
Suppose 0 = 4*d + 5*o - 0*o - 361, o + 79 = d. What are the prime factors of d?
2, 3, 7
Let q = 123 + -68. What are the prime factors of q?
5, 11
Suppose 99 = 6*o - 3*o. List the prime factors of o.
3, 11
Let s = 14 + -5. Suppose 5*b = 3*b + 4*f - 14, -2*b - f = s. List the prime factors of 1/(((-5)/4)/b).
2
Let w(d) = d**2 - 6*d. Let f be w(6). Suppose -x - o + 6*o + 43 = f, o - 64 = -2*x. What are the prime factors of x?
3, 11
Suppose 2*m = 2*v - 4*v + 4, 2 = -2*v. Suppose -m*y + 45 + 0 = 0. List the prime factors of y.
3, 5
Let v = -350 + 549. What are the prime factors of v?
199
Let x(o) = 3*o + 17. Let f be x(8). Suppose 0*u = u - f. What are the prime factors of u?
41
Let j(r) = -5*r + 3*r**3 + 2*r - 3*r**2 - 2*r**3. What are the prime factors of j(4)?
2
Let m(b) be the second derivative of -b**3/6 + 6*b**2 + b. Let r(n) = n**2 + 6*n - 18. Let f be r(3). What are the prime factors of m(f)?
3
Suppose 0*b + b = 90. What are the prime factors of 20/b - 734/(-18)?
41
Let p = -1 + 4. Suppose 3*l - p*k + 2 = 14, 3*l = -3*k. Suppose -l = -i - 0*i. List the prime factors of i.
2
Suppose 4*a - 15 = 2*k + 3, -2*a - 16 = 4*k. Let c be 5/k + (-27)/(-1). Suppose 5*m - c = -6. List the prime factors of m.
2
Let x(v) = -2*v - 21. List the prime factors of x(-20).
19
Let n be (-1)/2*(-2 + 16). Let m(h) = -h - 2. Let b be m(n). Suppose 20 = 5*d - b. List the prime factors of d.
5
Let f(z) = 3*z. List the prime factors of f(7).
3, 7
Let n = -29 - -43. List the prime factors of n.
2, 7
Suppose 3*u = 0, -p = -5*p - u - 32. Let l = 10 - p. What are the prime factors of ((-4)/3)/((-3)/l)?
2
Let y be (-255)/(-5) - (-1 + -2). Suppose 3*j + 2 = 14, 2*f - y = -3*j. List the prime factors of f.
3, 7
Let o be 0/(-2*(-2)/(-4)). Let k = 3 + o. Suppose -k*p = 8 - 32. What | {
"pile_set_name": "DM Mathematics"
} |
.
u**(29/3)
Simplify (u/u**(1/2))**(3/2) assuming u is positive.
u**(3/4)
Simplify (w/(w**(-2/3)/w*w))/(w*(w*w**1)/w) assuming w is positive.
w**(-1/3)
Simplify t*(t/t**18)/t*t**(-5/6) assuming t is positive.
t**(-107/6)
Simplify k*k**(-15)*k/(k/k**20) assuming k is positive.
k**6
Simplify (s**(2/7)*s**(-1)*s)/(s**5/(s*s/s**(-2)*s)) assuming s is positive.
s**(2/7)
Simplify (d**(1/3))**21*(d/d**(3/4)*d)/(d*d/d**(-4)) assuming d is positive.
d**(9/4)
Simplify (p/(p/p**(-3/2))*p**(1/5)/p)**(-1/4) assuming p is positive.
p**(23/40)
Simplify (m*m/(m/(m/m**(2/13)))*m)/(m/m**(-2))*(m/m**0)**(-4/21) assuming m is positive.
m**(-94/273)
Simplify f**(-2/19)*f**32/f assuming f is positive.
f**(587/19)
Simplify ((f/(f/f**1))/(f/((f/(f**1/f)*f)/f)))/(f/(f/(f/(f*f*f**(-1)))))**(14/9) assuming f is positive.
f
Simplify (f**7/(f*f**(1/10)*f))/(f*f/(f*(f/(f/f**2*f*f))/f))**29 assuming f is positive.
f**(-531/10)
Simplify (z*z/((z*z/z**14)/z))**(-2/15) assuming z is positive.
z**(-2)
Simplify ((p*p**(-1/3))**(-44))**2 assuming p is positive.
p**(-176/3)
Simplify ((c/(c/(((c**1*c)/c)/c)))/c)**3 assuming c is positive.
c**(-3)
Simplify (l*l**(-3/10))/(l/l**(1/4))*(l/(l*l**5))/(l/l**7) assuming l is positive.
l**(19/20)
Simplify ((q/(q/q**12))/q*q*q)**(7/5) assuming q is positive.
q**(91/5)
Simplify (t/t**(-2/7)*t)**9/((t/t**5)/t*t**(-4/3)/t) assuming t is positive.
t**(586/21)
Simplify l*l**(-13)*l*l**(1/3)/l assuming l is positive.
l**(-35/3)
Simplify ((m/(m*m**(2/5)*m))/m)**(-7/5) assuming m is positive.
m**(84/25)
Simplify y**(-10)*y/((y/(y**(-39)*y))/y*y) assuming y is positive.
y**(-48)
Simplify (k/k**(-2/3))**(1/44)/(k**(-7)/k*k**(3/5)) assuming k is positive.
k**(4909/660)
Simplify r**(1/3)/(r*r/(r**7*r))*(r**(-3))**(2/83) assuming r is positive.
r**(1559/249)
Simplify (m**7*m**10)**13 assuming m is positive.
m**221
Simplify (m/((m*m**(-4/19))/m))/(((((m*m**(-4/5))/m)/m)/m)/m) assuming m is positive.
m**(476/95)
Simplify ((v**(3/11)*v)/v)**(1/8) assuming v is positive.
v**(3/88)
Simplify (o**(-2/9)/o**(-2/7))**(-1/19) assuming o is positive.
o**(-4/1197)
Simplify y**(-1/13)*y**17/y assuming y is positive.
y**(207/13)
Simplify (z**(-1)*z)**(-4/3)/(z/(((z*z*z**(-1/3))/z)/z))**(-4/5) assuming z is positive.
z**(16/15)
Simplify (o**(-4/3)/o)**19 assuming o is positive.
o**(-133/3)
Simplify ((b**6/b)/b**(-1))/((b/(b**(3/2)/b*b))/((b/(b*b**6*b))/b)) assuming b is positive.
b**(-3/2)
Simplify ((h/h**2)/h**3)/((((h/(h/(h**(-3/7)/h)))/h)/h)/(h/(h*h**2*h*h))) assuming h is positive.
h**(-32/7)
Simplify (s**(-4)*s/s**7*s)/((s**9/s)/s**(-1/6)) assuming s is positive.
s**(-103/6)
Simplify (((a*a/(a**(1/4)/a*a))/a)**(-11/6))**(5/3) assuming a is positive.
a**(-55/24)
Simplify g**(3/2)/(g*g**42*g) assuming g is positive.
g**(-85/2)
Simplify (v/(v/(v**(-2)*v)*v)*v*v)**(-2/29) assuming v is positive.
1
Simplify (o**(-2))**(3/38)*o**(-4/7)*o*o**4 assuming o is positive.
o**(568/133)
Simplify (x**(3/5)*x**(-4)*x*x)**2 assuming x is positive.
x**(-14/5)
Simplify (a**9)**(-3/22) assuming a is positive.
a**(-27/22)
Simplify h**(-16)/(h/h**(-4)) assuming h is positive.
h**(-21)
Simplify g**6*g/(g*g**16) assuming g is positive.
g**(-10)
Simplify d**(-19)/d*d**(-3/4) assuming d is positive.
d**(-83/4)
Simplify i**(-18)/(i**(1/11)/i) assuming i is positive.
i**(-188/11)
Simplify ((j*j/j**(-3/2))/j*j**3)/(j**(-6)/j**(-3)) assuming j is positive.
j**(17/2)
Simplify ((d**4*d)/d**6)/(d**6*d/d**(4/5)) assuming d is positive.
d**(-36/5)
Simplify (b/b**21)/b*b**(-4) assuming b is positive.
b**(-25)
Simplify (z/(z*z**(-4/7)))/((z*z**(-4)/z)/z)*(z/((((z*z**2*z)/z*z*z)/z)/z))/(z**(-4)*z) assuming z is positive.
z**(46/7)
Simplify (d**(-7))**(-2/3) assuming d is positive.
d**(14/3)
Simplify (u*(u*u/(u/((u/u**(5/4))/u)))/u)/(u*u**(4/13)*u) assuming u is positive.
u**(-133/52)
Simplify r**(-18/5)*(r/(r*r*r*r**(-2/5)))/r assuming r is positive.
r**(-31/5)
Simplify (p**2*p)**30/((p/(p/p**5))/p**(-3)) assuming p is positive.
p**82
Simplify (p/p**0*p*p**(-2/11))**(-1/26) assuming p is positive.
p**(-10/143)
Simplify (u**2*u)/u**(4/9)*u**2/(u**(-2/11)*u) assuming u is positive.
u**(370/99)
Simplify z**(3/7)/z*z/(z**(2/43)*z) assuming z is positive.
z**(-186/301)
Simplify x**(2/3)/x**(-3)*x*x/(x*x*(x*x/x**(-2/5)*x)/x)*x**(-1/2) assuming x is positive.
x**(23/30)
Simplify n**(-5)/n**(-11) assuming n is positive.
n**6
Simplify ((o*o**(2/5))/(o/o**8))/(o**(-10)*o/o**(-1)) assuming o is positive.
o**(82/5)
Simplify p*p/(p/(((p/((p/(p/((p/p**(-2/11))/p))*p)/p))/p*p)/p))*p*p**(2/11)*(p/(p*p**1/p*p*p))**(-46) assuming p is positive.
p**94
Simplify (y/((y**(-2/7)/y)/y))**(-5)/((y/(y/y**(-2/13)))/(y/(y**0*y))) assuming y is positive.
y**(-1481/91)
Simplify (z/((z*(z/(z/((z**(-3)/z)/z)))/z)/z)*z**(-4)/z)**(-15) assuming z is positive.
z**(-30)
Simplify (o/(o*o*(o**(-2/83)/o)/o*o))/o**(-4/25) assuming o is positive.
o**(382/2075)
Simplify (z**(-1)/z)**(-43)*(z/z**3)/(z*z/(z*z**(1/2)*z*z)) assuming z is positive.
z**(171/2)
Simplify d*d**(-5/2)*d*d**(-1/5)*(((d*d**(-1))/d)/d)**(2/125) assuming d is positive.
d**(-183/250)
Simplify t*t**(-26)*((t*t**(1/6)/t)/t)/t*t assuming t is positive.
t**(-155/6)
Simplify (n*n/n**2)**(-2/3)/((n**(1/3)*n)/n)**(-9) assuming n is positive.
n**3
Simplify (l**(-15)/l*l)/(l**9/l) assuming l is positive.
l**(-23)
Simplify (p*p/(p*p*p**10*p)*p*p*p**(-8/7)*p*p)**(3/2) assuming p is positive.
p**(-171/14)
Simplify (s/(s**8*s))/(s/(s*s*s**3)) assuming s is positive.
s**(-4)
Simplify (j/((j*(j*j**(2/5))/j)/j)*j)**8/((j*j**(-8)/j)/j**(-2/13)) assuming j is positive.
j**(1342/65)
Simplify (l*l**2*l*l)**(4/3) assuming l is positive.
l**(20/3)
Simplify ((f/f**2*f)**(-19/6))**(-6/31) assuming f is positive.
1
Simplify ((j*j**(-2/7))**(-3/7))**28 assuming j is positive.
j**(-60/7)
Simplify (((x**(-2)*x)/x)/x)**(-1/39)*(x*x*((x**(-2/17)*x)/x)/x*x*x)/x*x**(1/6) assuming x is positive.
x**(2819/1326)
Simplify v**(-9/2)*v**(-1/25) assuming v is positive.
v**(-227/50)
Simplify (k**(-5/4)*k)**17 assuming k is positive.
k**(-17/4)
Simplify (((j**(-8)*j)/j)/j)**(-1) assuming j is positive.
j**9
Simplify (j*j*j**1*j)**46/(j*j**2*j*j**(-2/15)) assuming j is positive.
j**(2702/15)
Simplify (q*q**(2/3))**(-22) assuming q is positive.
q**(-110/3)
Simplify (d**(-3)/d**2)/(d**(1/3))**(-37) assuming d is positive.
d**(22/3)
Simplify ((t/(t/((t**(2/3)/t*t)/t)*t))**(-3/23))**(-5/9) assuming t is positive.
t**(-20/207)
Simplify (x**(-4)*x)**(4/7) assuming x is positive.
x**(-12/7)
Simplify (s/(s/(s*s**(2/7))))**(18/7)*s**1/((s**(5/6)/s)/s) assuming s is positive.
s**(1609/294)
Simplify j**(2/15)*j*j**(-3/10) assuming j is positive.
j**(5/6)
Simplify ((g/(g*g*g**1))/(g/(g/g**(-5)*g)))**(-20) assuming g is positive.
g**(-80)
Simplify ((u**(-2/11))**(-47))**(-3/26) assuming u is positive.
u**(-141/143)
Simplify h**2/(h*h**16*h) assuming h is positive.
h**(-16)
Simplify (h**(-2))**(1/3)/(h**(-1/4)*h)**(-14) assuming h is positive.
h**(59/6)
Simplify (h/((h*h*h/h**(1/4)*h*h)/h))**35/(h*(h**(1/2)/h)/h*h*h*(h/h**(-5))/h) assuming h is positive.
h**(-411/4)
Simplify (m/(m/m**28)*m)/((m**40/m*m)/m) assuming m is positive.
m**(-10)
Simplify (((k*k**(2/9)*k)/k*k*k)**(2/83))**(-47) assuming k is positive.
k**(-2726/747)
Simplify ((w**(1/2)/w*w)/w**8)**(-4/5) assuming w is positive.
w**6
Simplify ((r/(r*(r*((r/(r**(-4)*r))/r*r)/r)/r))**(-37))**26 assuming r is positive.
r**2886
Simplify (l/(((l**2/l)/l)/l)*((l*l**5)/l)/l)**(2/9) assuming l is positive.
l**(4/3)
Simplify (o**0)**14*(o/(o*o**(-1/3)))**(7/5) assuming o is positive.
o**(7/15)
Simplify w**0*w/w**0*(w*w/w**(6/11))/w**6 assuming w is positive.
w**(-39/11)
Simplify (v**(2/25)/v)**(-14) assuming v is positive.
v**(322/25)
Simplify (k*k/k**(2/11))/k*k**16 assuming k is positive.
k**(185/11)
Simplify ((a**(5/6)/a)/a*a**(1/2))/(a**(-1/3))**17 assuming a is positive.
a**5
Simplify (c*c**(2/7))**(10/7)/(c**(-1/2)*c*c**(-1/3)) assuming c is positive.
c**(491/294)
Simplify ((m*m/(m/((m*m*m**(-2/9))/m))*m)**(-23))**(19/4) assuming m is positive.
m**(-10925/36)
Simplify (a*a**9*a)**43 assuming a is positive.
a**473
Simplify ((u*u**(-15)*u*u)/u*u*u*u*u*(u*u**6)/u)**15 assuming u is positive.
u**(-45)
Simplify (y**(-5)*y**5/y)**(-3/2) assuming y is positive.
y**(3/2)
Simp | {
"pile_set_name": "DM Mathematics"
} |
5*z**2 + 3*z**3 + 13*z**2 - 14 + 2*z**2 as c + l*z + x*z**2 + o*z**3 and give c.
-14
Express 5*n + 4 + 8*n**2 - 17*n**2 + 11*n**2 - 10*n - 32*n**2 in the form v*n + b*n**2 + c and give b.
-30
Express -45053*c + 289*c**2 + 45053*c as s*c + h*c**2 + g and give h.
289
Express 7 - 7 + 7*y + (-8 + 4 - 3)*(1 - 2*y - 1) + y + 0*y + y + 7*y in the form a + x*y and give a.
0
Rearrange 25*h**2 + 7*h - 9*h + 73*h**2 to the form q + n*h + w*h**2 and give w.
98
Express -8 - 1 + 1 + 150*d - 229*d as o*d + y and give o.
-79
Rearrange 4657 - 9*h - 2*h - 9318 + 4681 to s*h + x and give s.
-11
Express 1 - 1472*n**3 - 3 + 2*n + 515*n**3 as p*n**2 + t + f*n**3 + x*n and give f.
-957
Express (2*v + 4*v - 4*v)*(-2*v**2 + 0*v**2 + 4*v**2)*(0 - 1 + 3) + (-5*v + v + 2*v)*(2*v**2 - 3*v**2 - v**2) as y*v + d*v**3 + p*v**2 + t and give d.
12
Express v**2 + 22*v + 1 - 61*v**3 - 34*v - 2*v**2 + 10*v in the form t*v**3 + b*v + w*v**2 + n and give n.
1
Express (-z - 2*z - z)*(37*z**2 - 7*z**2 - 3*z**2) + 2*z**3 - z**3 + 3*z**3 as j + g*z + x*z**2 + r*z**3 and give r.
-104
Express -l**4 + 3*l**3 - 21 - 7*l**3 - 5*l**2 + 7 + l + 15 as k + i*l**4 + r*l**3 + x*l + d*l**2 and give i.
-1
Rearrange -10*c**2 + 9 + 9*c**2 + 2*c**2 + 13 to the form x*c**2 + j*c + u and give u.
22
Rearrange -4 + 31*u**3 + 10 + 1 - 25*u**3 + u**2 to b*u**2 + g + d*u + f*u**3 and give f.
6
Rearrange -470 - 469 - 4*n + 928 to g + r*n and give r.
-4
Rearrange (8 - 5 - 10)*(0 + 0 + 1)*(-4*v + 4*v + 2*v)*(2*v + 5*v + 8*v) to the form f*v**2 + z*v + r and give f.
-210
Express -38 + 12*h + 38 + 209*h as o + m*h and give m.
221
Express 9*s + s + 4*s - 3 + 30*s**2 - 16*s - 10*s**2 in the form f + u*s + i*s**2 and give i.
20
Express 12*f**2 - 31*f**2 + f + 10*f**2 + 11*f**2 + 315 in the form h*f**2 + v*f + o and give h.
2
Express -867 - 518*z + 518*z + 6*z**2 + (-1 - z + 1)*(2*z - z - 3*z) in the form t*z + i*z**2 + b and give i.
8
Rearrange (-201*d**3 + 0 + 213*d**3 - 3)*(-2*d + 0*d + d)*(-5 + 1 + 1) to the form y*d**3 + t + g*d**2 + h*d**4 + u*d and give h.
36
Rearrange 7811 + c + 7812 - 40*c**2 - 15623 to the form j + k*c**2 + w*c and give k.
-40
Rearrange -270*v**2 + 14*v - 1922*v**2 - 14*v to z + l*v**2 + o*v and give l.
-2192
Rearrange -9*k + 6*k**4 + 18*k - 4 - 2 - 8*k to the form m*k**2 + t*k + z*k**4 + o + y*k**3 and give o.
-6
Express -2*g**2 + 3*g**2 + 0*g**2 + (-201*g**2 + 5*g**2 + 70*g**2)*(-1 + 2 - 2) in the form v*g + w*g**2 + s and give w.
127
Express -5*b - 5*b**2 - 43*b**2 - 129*b**2 + 352*b**2 + 4*b in the form s*b + o*b**2 + r and give r.
0
Express 3*i**3 - 8*i**2 + 2*i + 0*i + 44*i**2 - i in the form v*i**3 + b*i + y + g*i**2 and give v.
3
Rearrange (-2 + 2 + 3)*(504*r + 292*r + 617*r + 454*r) to the form x + j*r and give j.
5601
Rearrange (5*q + 15*q - 17*q + (-1 - 3 + 3)*(0*q + 7*q - 3*q))*(-q - 3 + 3 + 2 - 2*q - 2 + (0*q - 2*q + q)*(0 + 2 + 0)) to the form z*q + i + b*q**2 and give b.
5
Express -7*u**2 + 8*u**2 + 132 + 6*u**2 - 8*u**2 as y*u + b*u**2 + d and give b.
-1
Rearrange 26*i**2 + 31*i**2 + 31*i**2 - 90*i**2 + 85 to the form k + m*i + l*i**2 and give k.
85
Express -4*r**4 + 361*r**3 + r - 2 + r + 370*r**3 - 707*r**3 as j*r + n*r**2 + k*r**4 + o + z*r**3 and give k.
-4
Rearrange 893*v - 1 + 425*v**2 - 893*v to b*v + q + f*v**2 and give f.
425
Rearrange 27 - 64 + 670*m**2 + 37 to x + y*m**2 + l*m and give y.
670
Rearrange (0 - 3 + 4)*(z**3 + 0*z**3 + z**3) + 113*z**3 - 159*z**2 + 159*z**2 to y + l*z**2 + p*z**3 + a*z and give p.
115
Rearrange (-3*l**2 + 0*l**2 + 4*l**2)*(3*l - 144*l**2 + 4*l - 7*l + 55*l**2) to the form c*l + t + q*l**4 + z*l**2 + x*l**3 and give q.
-89
Rearrange 14*q**2 + 15*q**2 - 28*q**2 - 18 to t + s*q**2 + k*q and give s.
1
Express (-4*k + 11*k - 5*k + 57*k**3 - 2*k)*(-5*k + 3*k + k) in the form b*k**2 + z*k + d + w*k**3 + p*k**4 and give p.
-57
Rearrange -660*z + 1528*z - 181*z + 685*z + 1286*z to the form f*z + l and give f.
2658
Express 1374*w - 2*w**2 + 11*w**3 - 683*w - 19*w**4 - 693*w in the form n + r*w**3 + i*w + a*w**2 + l*w**4 and give a.
-2
Rearrange -25*t**3 - 19*t**3 + t**3 - t**3 + 4*t**2 - 4*t**2 + (-3 - t**2 + 3)*(0 - 2*t + 0) to m*t**3 + g*t + o*t**2 + w and give m.
-42
Rearrange (-17*m**3 - 17*m**3 + 42*m**3)*(0 + 2 - m + 4*m) to i*m**2 + g + c*m**4 + y*m**3 + r*m and give y.
16
Express 6 - 5 - 7 + 2*t - 4 in the form l*t + s and give s.
-10
Express (1461 - 718 + 5*n - 824)*(2*n + 2 - 2) in the form m*n + i + q*n**2 and give m.
-162
Rearrange -o**2 - o**2 - 139 + 35 + 54 to f*o**2 + m*o + s and give s.
-50
Express -140*g + 11*g**3 - 7*g**3 - g**4 + 2*g**2 + 138*g - 7*g**2 + 1 as d*g**2 + t*g**3 + w + p*g**4 + x*g and give d.
-5
Rearrange 4*f - 4*f - 1602*f**2 + 282*f**2 to r*f + l + w*f**2 and give w.
-1320
Express (3*a + 4*a - 4*a)*(0 + 2 + 7)*(13 + 0 - 4) as p*a + o and give p.
243
Rearrange 8*o - 13*o + 7*o - 7*o + 7*o + 368 to the form v + z*o and give v.
368
Rearrange -776*u**3 - 779*u**3 + 2*u + 4*u**2 + 1547*u**3 to the form k*u**2 + i*u**3 + b + o*u and give o.
2
Express -7*k**2 + 95*k**2 + 169*k**2 in the form n*k + c*k**2 + v and give c.
257
Express 41*j**3 + 2 + 2*j**2 + 6*j - 7*j - 2*j**2 + 2*j**2 - 1 in the form p*j**3 + m + f*j**2 + z*j and give z.
-1
Express -2*b**3 + 2*b + 5 + 30*b**2 + 3*b**4 - 8*b**2 - 20*b**2 as d*b**3 + a*b + r*b**2 + p + y*b**4 and give y.
3
Express -738*d - 3 + 740*d + 3*d**2 - 6*d**2 + 2 + 63*d**3 as v*d**3 + i*d**2 + z + b*d and give b.
2
Rearrange -2*i - 485*i**2 - 481*i**2 + 1 + 39*i**3 + 0*i + 960*i**2 to the form p*i + n*i**3 + b + w*i**2 and give p.
-2
Rearrange -l**2 + 2*l - 2*l + 2*l - 2*l**2 - 2*l + 13*l**2 - 32*l**2 - 6*l**2 + (0 + 2 + 0)*(-l**2 + 3*l**2 + 0*l**2) to d*l + f + b*l**2 and give b.
-24
Rearrange (-5*o + 0*o + 4*o + (1 - 1 - 3*o)*(-1 - 5 + 5))*(-155*o - 68*o + 42*o) to w + k*o**2 + l*o and give k.
-362
Express 2*p**2 + 0*p**3 - p**2 - 6*p**2 - p**3 - 5*p**2 + 55 in the form q + x*p**2 + o*p + n*p**3 and give q.
55
Rearrange (330*c**4 - 2*c**2 + 173368 + 0*c**2 - 173367)*(-1 + 1 - 2) to the form j*c**3 + p + q*c**2 + y*c + m*c**4 and give m.
-660
Rearrange 112*w**3 - 15093*w + 15093*w + w**2 to the form y*w**2 + u*w + i*w**3 + p and give y.
1
Express -102 + 166*h - 78 + 147*h - 37*h + 178 in the form x*h + s and give x.
276
Rearrange 17*q**3 + 15*q**4 + 9*q**3 + 8 - 14*q**4 - 23*q**3 to z*q**2 + t*q + n*q**4 + d + h*q**3 and give n.
1
Rearrange 43*i**3 - 6690*i**2 + 15*i**3 + 6688*i**2 to x + q*i**3 + a*i + h*i**2 and give q.
58
Express (7*t - 2*t - t)*(4 - 2*t**2 - 4) - 18*t**3 - 557*t**2 + 557*t**2 in the form p*t**3 + q + y*t**2 + d*t and give p.
-26
Express (v + v - v)*(-5*v - 5*v + 27*v)*(-4*v - 29 + 29)*(3*v - v + 0*v) in the form s*v**4 + j + a*v**2 + q*v**3 + y*v and give s.
-136
Express 0*v**3 + 701*v**2 + 4 - 734*v**2 - 4 - 14*v**3 as j*v**2 + a*v + i*v**3 + y and give i.
-14
Rearrange 5*k**2 - 6*k**2 + 21*k**3 - 514*k**3 + 209*k**3 to the form f*k + q*k**2 + c*k**3 + m and give q.
-1
Rearrange -8*x + x**2 + 218*x**3 + 6*x - 408*x**3 to v*x + k + w*x**3 + r*x**2 and give w.
-190
Rearrange 908*m - 12*m**3 - 6*m**2 - 1 - 905*m + 2*m**2 to u*m + p + z*m**2 + f*m**3 and give f.
-12
Express 91*h + 270*h - 41*h + (-h + 1 - 1)*(-3 - 3 + 4) as r + z*h and give r.
0
Rearrange (-9*f**2 - 4*f**2 + 4*f**2)*(-2 + 5 - 1 + (7 + 2 - 5)*(-3 + 1 + 4)) to x*f + h*f**2 + r and give h.
-90
Rearrange -2*a**2 + 7*a + 3*a**3 - 15 - 6*a + 18 to the form x*a + v*a**3 + d + f*a**2 and give f.
-2
Rearrange (2*w + 0*w - 3*w + (2 + 4 - 2)*(0*w + w + 0*w) + w - 2*w + 3*w)*(4 + 0 + w - 2) to the form j*w + p + c*w**2 and give j.
10
Rearrange 67*u**3 - 6*u**4 + 4 - 31*u**2 + 34*u**2 - 2 - 68*u**3 to i*u**2 + t*u + v + f*u**4 + b*u**3 and give b.
-1
Rearrange 7*l**3 - 21*l**3 + 13*l**3 - 37*l**2 - 4*l - 74*l**2 to t*l**3 + z*l + m + p*l**2 and give z.
-4
Rearrange k**2 + 2 - 2 - k**2 + 0*k**2 + 0*k**2 + (k + k - k)*(3*k - k + 0*k) + 600*k**2 - 176*k**2 + 55*k**2 to g + p*k + l*k**2 and give l.
481
Express (7*f - 7*f + 2*f**3)*(-53 + 25 + 43) as v*f**2 + y + l*f**3 + n*f and give l.
30
Express 10 + 0*o + 0*o + 0*o**3 - 80 - 5*o**3 as k*o**3 + s*o**2 + x*o + w and give k.
-5
Express 57*v**2 + 60*v**2 - 4*v + 56*v**2 - 167*v**2 - 4*v**3 in the form k + t*v + s*v**3 + w*v**2 and give s.
-4
Rearrange 2 + 81 | {
"pile_set_name": "DM Mathematics"
} |
he nearest integer?
2
What is the cube root of 2756 to the nearest integer?
14
What is 69776 to the power of 1/8, to the nearest integer?
4
What is the square root of 6147 to the nearest integer?
78
What is 4731 to the power of 1/3, to the nearest integer?
17
What is the third root of 880 to the nearest integer?
10
What is the square root of 3512 to the nearest integer?
59
What is 59 to the power of 1/2, to the nearest integer?
8
What is 3707 to the power of 1/9, to the nearest integer?
2
What is the ninth root of 11080 to the nearest integer?
3
What is 476 to the power of 1/2, to the nearest integer?
22
What is 93023 to the power of 1/9, to the nearest integer?
4
What is 4937 to the power of 1/2, to the nearest integer?
70
What is the square root of 48204 to the nearest integer?
220
What is the cube root of 11495 to the nearest integer?
23
What is 78947 to the power of 1/10, to the nearest integer?
3
What is 93857 to the power of 1/10, to the nearest integer?
3
What is 10005 to the power of 1/10, to the nearest integer?
3
What is 180 to the power of 1/3, to the nearest integer?
6
What is the cube root of 2711 to the nearest integer?
14
What is the cube root of 2994 to the nearest integer?
14
What is 1160 to the power of 1/6, to the nearest integer?
3
What is the sixth root of 400 to the nearest integer?
3
What is 6116 to the power of 1/3, to the nearest integer?
18
What is the tenth root of 9683 to the nearest integer?
3
What is the square root of 1583 to the nearest integer?
40
What is the cube root of 3386 to the nearest integer?
15
What is the square root of 18974 to the nearest integer?
138
What is the square root of 57848 to the nearest integer?
241
What is 557 to the power of 1/2, to the nearest integer?
24
What is the tenth root of 15545 to the nearest integer?
3
What is 7149 to the power of 1/9, to the nearest integer?
3
What is 173313 to the power of 1/3, to the nearest integer?
56
What is 282 to the power of 1/3, to the nearest integer?
7
What is the square root of 13747 to the nearest integer?
117
What is the third root of 13841 to the nearest integer?
24
What is 1569 to the power of 1/8, to the nearest integer?
3
What is 36283 to the power of 1/3, to the nearest integer?
33
What is the cube root of 23678 to the nearest integer?
29
What is 4743 to the power of 1/5, to the nearest integer?
5
What is the square root of 55 to the nearest integer?
7
What is 338 to the power of 1/5, to the nearest integer?
3
What is the square root of 14120 to the nearest integer?
119
What is 258 to the power of 1/3, to the nearest integer?
6
What is the sixth root of 5986 to the nearest integer?
4
What is the third root of 29159 to the nearest integer?
31
What is the fifth root of 585 to the nearest integer?
4
What is the fifth root of 37534 to the nearest integer?
8
What is the fourth root of 3403 to the nearest integer?
8
What is the square root of 1944 to the nearest integer?
44
What is 205 to the power of 1/2, to the nearest integer?
14
What is 10267 to the power of 1/3, to the nearest integer?
22
What is 19530 to the power of 1/2, to the nearest integer?
140
What is the sixth root of 74330 to the nearest integer?
6
What is 1536 to the power of 1/6, to the nearest integer?
3
What is 7759 to the power of 1/3, to the nearest integer?
20
What is 6255 to the power of 1/3, to the nearest integer?
18
What is 794 to the power of 1/2, to the nearest integer?
28
What is the fourth root of 23045 to the nearest integer?
12
What is the cube root of 18626 to the nearest integer?
27
What is 5996 to the power of 1/2, to the nearest integer?
77
What is 938 to the power of 1/6, to the nearest integer?
3
What is the cube root of 1622 to the nearest integer?
12
What is the tenth root of 54741 to the nearest integer?
3
What is the square root of 78761 to the nearest integer?
281
What is the cube root of 1915 to the nearest integer?
12
What is the square root of 1467 to the nearest integer?
38
What is the cube root of 3979 to the nearest integer?
16
What is the square root of 10941 to the nearest integer?
105
What is the ninth root of 4665 to the nearest integer?
3
What is the square root of 158681 to the nearest integer?
398
What is 11502 to the power of 1/9, to the nearest integer?
3
What is the square root of 141 to the nearest integer?
12
What is 30195 to the power of 1/8, to the nearest integer?
4
What is the third root of 113 to the nearest integer?
5
What is 65160 to the power of 1/3, to the nearest integer?
40
What is 2822 to the power of 1/3, to the nearest integer?
14
What is 3117 to the power of 1/3, to the nearest integer?
15
What is 14684 to the power of 1/3, to the nearest integer?
24
What is the third root of 1554 to the nearest integer?
12
What is 4635 to the power of 1/3, to the nearest integer?
17
What is 47522 to the power of 1/5, to the nearest integer?
9
What is 3723 to the power of 1/9, to the nearest integer?
2
What is 9907 to the power of 1/4, to the nearest integer?
10
What is 1193 to the power of 1/2, to the nearest integer?
35
What is 208 to the power of 1/2, to the nearest integer?
14
What is 6751 to the power of 1/2, to the nearest integer?
82
What is the square root of 5043 to the nearest integer?
71
What is 18781 to the power of 1/4, to the nearest integer?
12
What is 46941 to the power of 1/3, to the nearest integer?
36
What is 8251 to the power of 1/10, to the nearest integer?
2
What is the third root of 47 to the nearest integer?
4
What is the third root of 166 to the nearest integer?
5
What is the third root of 3456 to the nearest integer?
15
What is the third root of 16890 to the nearest integer?
26
What is 66138 to the power of 1/2, to the nearest integer?
257
What is 11332 to the power of 1/2, to the nearest integer?
106
What is 1912 to the power of 1/6, to the nearest integer?
4
What is the sixth root of 292 to the nearest integer?
3
What is 66205 to the power of 1/6, to the nearest integer?
6
What is 13275 to the power of 1/3, to the nearest integer?
24
What is 16090 to the power of 1/2, to the nearest integer?
127
What is 902 to the power of 1/2, to the nearest integer?
30
What is the cube root of 18495 to the nearest integer?
26
What is the square root of 3397 to the nearest integer?
58
What is the tenth root of 109463 to the nearest integer?
3
What is the square root of 2178 to the nearest integer?
47
What is 2239 to the power of 1/5, to the nearest integer?
5
What is the square root of 157 to the nearest integer?
13
What is the square root of 77385 to the nearest integer?
278
What is the seventh root of 2255 to the nearest integer?
3
What is the eighth root of 1053 to the nearest integer?
2
What is the third root of 139 to the nearest integer?
5
What is the square root of 1312 to the nearest integer?
36
What is the cube root of 5277 to the nearest integer?
17
What is 26734 to the power of 1/2, to the nearest integer?
164
What is 13918 to the power of 1/3, to the nearest integer?
24
What is the square root of 22261 to the nearest integer?
149
What is the square root of 14187 to the nearest integer?
119
What is 13179 to the power of 1/3, to the nearest integer?
24
What is 1893 to the power of 1/4, to the nearest integer?
7
What is the seventh root of 23325 to the nearest integer?
4
What is the square root of 57803 to the nearest integer?
240
What is the cube root of 501 to the nearest integer?
8
What is 65913 to the power of 1/2, to the nearest integer?
257
What is 2504 to the power of 1/3, to the nearest integer?
14
What is 27011 to the power of 1/3, to the nearest integer?
30
What is 868 to the power of 1/9, to the nearest integer?
2
What is 2731 to the power of 1/2, to the nearest integer?
52
What is the square root of 7465 to the nearest integer?
86
What is 67664 to the power of 1/3, to the nearest integer?
41
What is 1479 to the power of 1/6, to the nearest integer?
3
What is the eighth root of 49595 to the nearest integer?
4
What is the third root of 2770 to the nearest integer?
14
What is the square root of 4490 to the nearest integer?
67
What is the third root of 1298 to the nearest integer?
11
What is the cube root of 52795 to the nearest integer?
38
What is the cube root of 266 to the nearest integer?
6
What is 1 | {
"pile_set_name": "DM Mathematics"
} |
2*m)*(3*m + 0*m - 2*m) + (3*m + 1 - 1)*(9 - 13 + 6 - 8*m) to the form n*m**2 + t*m + q and give n.
-23
Express 26*k + 5*k**2 - 26*k - k**2 + 0*k**2 + 4*k**2 + (4 - 4 + 2*k)*(-2*k + 2*k + k) + 2*k**2 + 6*k**2 + 3*k**2 in the form p*k**2 + s*k + i and give s.
0
Rearrange (0*p - 2*p - p)*(126 + 204 + 81) to the form u*p + l and give u.
-1233
Rearrange -2*y**2 - 38895*y - 34 + 38895*y to the form h*y + u + z*y**2 and give z.
-2
Rearrange 1441018*m - 1 - 1440988*m + 4 to g*m + w and give g.
30
Rearrange -644*b + 30*b - 1245*b - 37*b to the form d*b + w and give d.
-1896
Express 19*n - 3*n + 37*n + 24*n in the form s*n + h and give s.
77
Rearrange h**3 + 1 + 0*h**3 + 11*h**2 + 5*h - h - 2*h to the form i*h**2 + u + c*h**3 + y*h and give u.
1
Rearrange -134*j**2 + 18 + 5*j - j**3 + 134*j**2 - 3*j to k + g*j + c*j**3 + t*j**2 and give k.
18
Rearrange m - 3*m + m + (m - 2*m - m)*(4 - 3 - 3) + 3*m + 0*m - 4*m + 26 + 7*m - 26 + (3 - 5 + 1)*(5 - 5 + m) to the form n + o*m and give o.
8
Rearrange -k - 150*k**4 - 2*k**3 - 164*k**4 + 369*k**4 to h*k + q*k**3 + l*k**2 + z*k**4 + a and give z.
55
Rearrange 233*u**3 + 4497*u - 12*u**3 - 4499*u to o*u**2 + b*u + k + y*u**3 and give b.
-2
Express (-2 + 2 - b**2 + (-3*b + 5*b + 0*b)*(-1 + 1 + b) - 4*b**2 + 94 - 94)*(-6 + 4*b + 6) as q*b + v*b**2 + x + z*b**3 and give q.
0
Express ((-5*f + 2*f + 2*f)*(-2 + 4 + 0) - 2 + 4*f - f - 4*f)*(7399 - 7399 + 462*f) as x*f + k + a*f**2 and give a.
-1386
Express (-1 + 1 - 2*w**4)*(408 - 223 - 233)*(1 + 4 - 2)*(1 - 4 + 1) + 2*w**2 - 2*w**2 - w**4 as k*w**4 + f*w + h*w**3 + p*w**2 + r and give p.
0
Rearrange 2*i - 3*i + 5*i + 924*i**2 - 4*i to s*i**2 + k + d*i and give d.
0
Rearrange -8*n + 18*n + 1 + 5 - 8*n**2 - 5*n - 7*n to z + v*n**2 + m*n and give m.
-2
Express (-5*h**4 - 5*h**4 - 8*h**4)*(1 - 2 + 7 + 0 + 0 - 3 + (5 - 1 - 2)*(-2 + 1 + 3) - 1 + 1 + 2) in the form a*h**4 + d*h + y*h**3 + n*h**2 + r and give a.
-162
Express (31*h**2 - 36*h**2 + 22*h**2)*(-7 + 0 - 2) as p*h + m*h**2 + s and give m.
-153
Express 10*i**2 + i - 13*i**2 + 5*i**2 + 6*i - 7*i**3 as s*i**2 + g*i + m*i**3 + w and give g.
7
Express 1 + 0 + 5*p**3 - 2*p + 0 + 4*p**3 as u*p + f*p**3 + t + d*p**2 and give f.
9
Express 284*h + 241*h + 258*h - 324*h + 286*h as j + n*h and give n.
745
Express 454*c + 454*c - 917*c - 31*c**3 in the form t*c**2 + m + w*c + k*c**3 and give w.
-9
Rearrange -26 + 13*s**2 + 12*s**2 - 29*s**2 + s**2 + 9*s**2 to d + t*s**2 + x*s and give t.
6
Express ((-2 - w + 2)*(3 - 2 + 2) + w - 3*w + 4*w)*(-24 + 10 - 14) in the form s + u*w and give s.
0
Express 42 - 87 + 43 + 44*r**3 - 351*r**3 as j*r**2 + w + x*r**3 + a*r and give w.
-2
Rearrange -2830*r**2 - 3*r**3 + 9*r - 2*r**4 + 2830*r**2 to the form a*r**2 + b*r**4 + d + x*r + h*r**3 and give h.
-3
Rearrange (0 + 0 - 2*h)*(-2 + 3*h + 2) + (0*h**2 - 3*h**2 + 4*h**2)*(0 - 6 + 4) to the form o*h**2 + p*h + b and give o.
-8
Express 1288*f + 593*f - 687*f in the form d + c*f and give c.
1194
Rearrange 354 - 355 - s**3 - 3*s**4 - 2*s + 6*s + 2*s**4 to the form k*s**3 + m + w*s + g*s**2 + n*s**4 and give k.
-1
Express 640*z**3 - 2*z**4 - 639*z**3 + z**2 + 9 + 4*z**4 + 0*z**4 in the form c*z**2 + n + p*z**4 + r*z + i*z**3 and give p.
2
Rearrange -37 + 129*i - 131*i - 28 to u*i + n and give u.
-2
Rearrange 131*t**2 + 43*t**2 + 297*t**2 to the form k + b*t + d*t**2 and give k.
0
Rearrange -475*v**2 - 5*v**3 + 4*v**3 - 2*v**3 + 0*v**3 + v**3 to g + a*v + p*v**3 + j*v**2 and give j.
-475
Express (-2*i - 5*i + 3*i)*(2 - 2 - 1) - i + 4*i - i + (16 + 0 - 7 + (4 - 5 + 2)*(1 + 2 - 2))*(-3*i + 1 - 1) as r*i + c and give r.
-24
Express -174*y + 4*y**2 - 15*y**4 + 8*y**4 + 9*y**4 + 164*y as s*y**3 + o + d*y**2 + l*y**4 + x*y and give d.
4
Rearrange 63 - a**2 - 2*a**4 + 2*a - a**2 - 64 - a**2 to the form v*a**4 + x*a + q*a**2 + d*a**3 + w and give v.
-2
Express -6985 + 6987 + 4*u**3 + 0*u**3 - 17*u + 2*u in the form z*u + m*u**3 + p*u**2 + y and give y.
2
Express -36*g**4 - 54*g**4 + 24*g**4 + (3 + g**4 - 3)*((1 - 1 + 1)*(-1 + 5 - 3) + 3 - 2 + 1) in the form q + m*g**2 + x*g + f*g**4 + z*g**3 and give m.
0
Express 3 + 8*c - 7*c + 49 + 10 in the form m + t*c and give t.
1
Express (-4*r + 22*r + 59*r)*(3 + 1 + 1 + r) in the form a*r**2 + j*r + g and give a.
77
Express (-190*l**2 - 167*l**2 - 170*l**2)*(2*l - 2*l + l) as j*l**2 + r*l + x + v*l**3 and give v.
-527
Rearrange -80*z**2 - 2 - 104*z + 81*z**2 + 102*z to y + l*z**2 + f*z and give f.
-2
Express 735*o + 63*o - 1569*o as j*o + p and give j.
-771
Express 1155*v**2 + 1156*v**2 - 3*v**3 + 5*v**3 - 2311*v**2 - 123 in the form s*v**2 + k + b*v**3 + r*v and give k.
-123
Express -9*y**2 - 10*y**2 - 4*y**2 + 1 - 58*y**2 in the form v + h*y**2 + x*y and give v.
1
Express 13*a**2 - 772 - 755 + 1513 as z + k*a**2 + l*a and give z.
-14
Express -j**2 + 34 - 9 - 36 - 3*j - 20 in the form p*j + y + o*j**2 and give p.
-3
Rearrange -69*n**3 - 254*n**3 + 2 + 49*n**3 - 198*n**3 - n**2 + 0*n**2 to the form p*n**2 + t + x*n + q*n**3 and give t.
2
Rearrange -631*p + 304*p + 301*p to d + a*p and give a.
-26
Rearrange 298 - 298 + 1352*b to x + w*b and give w.
1352
Rearrange (28 + 2 + 49)*(-i + i + i) to the form m + r*i and give r.
79
Express -3*l**4 + 0*l**4 + 20*l**4 + (4*l**3 - l**2 + l**3 - l**3)*(6 + 8*l - 2*l - 8) as w*l**4 + c*l + n + p*l**3 + t*l**2 and give w.
41
Rearrange -1 + 1 - h + (-5 + 4 - 1)*(2*h + 2*h - 5*h) - 8 - 16*h + 9 + 2 to j*h + s and give j.
-15
Rearrange -6 + 9 + 10*a**2 + 24 + 8 + 7 to the form t*a**2 + p + r*a and give t.
10
Rearrange (-2 + 3 - 2 + (1 - 2 + 4)*(-3 + 4 + 0))*(3*v - 2*v + v)*((-10 - 3*v + 10)*(-2 - 3 - 1) + 4*v + 0*v - 2*v) to x*v**2 + p*v + i and give x.
80
Express -28*j**2 + 0*j + 3 + 26*j**2 - 31*j + 2*j**4 in the form b*j + o*j**4 + l + y*j**3 + m*j**2 and give m.
-2
Express (w**2 + 9*w**2 + 0*w**2)*(54 - 38 + 34) as t*w**2 + z*w + v and give t.
500
Rearrange -27*v**2 + 11*v**3 + 5*v**3 + 98*v**2 - 22*v**3 to the form o*v + n + s*v**2 + w*v**3 and give n.
0
Rearrange 342*a**2 - 14*a - 14*a + 28*a to the form f*a**2 + v*a + n and give f.
342
Express 32*i - 86*i - 88*i - 16*i as x*i + t and give x.
-158
Express (179 - 49 + 418 - 87 + 272)*(0*g + 2*g - 3*g) in the form v*g + p and give v.
-733
Rearrange (6*m + 7*m - 5*m)*(-72*m**3 + 39*m**3 - 40*m**3) to w*m + g*m**2 + s*m**4 + o + z*m**3 and give s.
-584
Rearrange 15*v**2 + 0*v**2 - 2*v + 109 + 12*v**2 - 29*v**2 to the form h + z*v + a*v**2 and give h.
109
Express (2 + 3*n**2 - 2)*(13 - 20 - 5) + 0*n**2 - 2*n**2 + n**2 + n + 1 + 0 - 2 - n**2 as x*n**2 + r*n + o and give r.
1
Rearrange -51 + 20*u + 31 + 15 - 7*u to the form y*u + m and give m.
-5
Rearrange -540*c**2 - 491*c**2 + 315*c**2 + (2*c - 4*c + 0*c)*(-2 + 2*c + 2) to the form a + h*c + o*c**2 and give o.
-720
Rearrange (2 - 2*i**3 - i**3 + i**3)*(9 - 12 + 68)*(-1 + 1 + 2 + (1 + 3 - 1)*(0 + 0 + 2)) to the form g + v*i**3 + u*i + z*i**2 and give g.
1040
Rearrange -d + d + 2*d**3 + (-42*d - 336 + 336)*(-7 + 7 - 4*d**2) to the form h*d**2 + b + r*d**3 + f*d and give r.
170
Express (-3 + 0 + 0)*(-49 - 244 - 61)*(-5*m + 5*m + m) as o*m + p and give o.
1062
Rearrange -4*n + 0 + 1 - 4 - 2 + 5*n to the form k + f*n and give f.
1
Express (181 - 296 + 189)*(4 - 2*x - 4)*(2*x + 4 - 4) in the form p*x + i + q*x**2 and give q.
-296
Rearrange -2 - 2*n**2 - 4*n**2 - 3*n**2 - 2*n + 5*n**4 + 10*n**2 to u*n**3 + x*n**4 + w*n + f + j*n**2 and give f.
-2
Express 2*w - 107*w**3 + 5 - w**4 - 4*w + 105*w**3 in the form t*w**2 + v + x*w**4 + b*w + j*w**3 and give x.
-1
Rearrange 2*g**4 - 12*g**4 - 4*g**4 + (2*g - 2*g + 2*g**2)*(-4*g**2 + 0*g**2 + 5*g**2) to z*g + h*g**2 + y + k*g**3 + r*g**4 and give r.
-12
Express 4 - 16*w - 9 + 32 + 26 + 2 as m*w + j and give j.
55
Rearrange (2 + 3 - 3)*(t**4 - t**4 - 2*t**4) + (-t + t**2 + t)*(-2*t - 70*t**2 - 38*t + 72*t**2) to j*t**4 + c + o*t**3 + w*t + v*t**2 and give o.
-40
Rearrange 8*b + 9*b + 73*b + 7*b to i + p*b and give p.
97
Express (65 - 126 - 2*u + 65)*(-2*u**2 - u**2 + 10*u**2) as q*u**3 + g + v*u + c*u**2 and give c.
28
Rearrange 27*y**2 + 7*y - 7*y to g*y + t + s*y**2 and give s.
27
Rearrange 5970*r + 13 - 2953*r - 2991*r to the form o*r + l and give o.
26
Express (109*m - 109*m + 20*m**3)*(-8 + 5 + 4 + (-4 + 2 + 4)*(-3 - 4 + 6))*(0*m + 2*m - 4 | {
"pile_set_name": "DM Mathematics"
} |
7
Let p(f) = -504 + 17*f**3 + 3*f**2 + 504 - 15*f**3 + 6*f. Determine p(-4).
-104
Let y(n) = -n**2 - 2*n + 12. Suppose 5*s + 8*s + 5915 = 0. Let q = -460 - s. Determine y(q).
-3
Let h(c) = -c**2 - c - 4. Let o be (-2 + 22/6)/(34/(-102)). Let d be (-12)/(o - -2) + -1 + 2. Give h(d).
-34
Suppose -909*x + 839*x = -350. Let g(w) = 5*w**2 + 16. Calculate g(x).
141
Let k(z) = 1 - 3*z + 0*z + 2*z - 3. Suppose 0 = 3*r + 255 + 345. Let v = r - -195. Calculate k(v).
3
Let n(a) = -308*a + 257. Let c(y) = 121*y - 129. Let z(q) = -5*c(q) - 2*n(q). Calculate z(-11).
10
Let q(s) = -2*s + 1. Let b(j) = 5*j - 3. Let v(o) = 6*b(o) + 13*q(o). Suppose -5*z - 118 = -128. Suppose 2*n = -k + z, -17 = -5*k + 4*n + 21. Give v(k).
19
Let i(y) = -4*y + 168. Let u(m) = m**2 - 6*m + 4. Let w be u(10). Let f be i(w). Let g(h) = h**3 + 8*h**2 + h + 10. Calculate g(f).
2
Let b(v) = -v**3 + 101*v**2 - 184*v - 1373. Let o be b(99). Let d(u) = 2*u**2 - 30*u - 7. Calculate d(o).
-59
Let h(o) = -1 - 2*o + 2 + 1 + 1. Suppose -3*a - 94 = 5*k, -2*k - 2*a = -0*a + 36. Let b = 26 + k. Determine h(b).
-9
Let q = -53 + 19. Let r = -28 - q. Let s(x) be the first derivative of x**3/3 - 7*x**2/2 + 4*x - 3. Give s(r).
-2
Let x(a) = a - 5. Suppose 6*p - 24 = -0*p. Suppose -o - p*r = r + 7, -2*r = 0. Let t = -1 - o. Calculate x(t).
1
Let g(l) = 3*l - 2*l - 6*l**2 + 16 - 220*l**3 + 7*l - 5*l + 219*l**3. Calculate g(-6).
-2
Let o(d) = 4*d - 43. Let z be (1 - 5/6)*252/(36/6). Determine o(z).
-15
Let h(a) = -5*a + 3. Let n(m) = m - 1. Let f(t) = h(t) + 6*n(t). Suppose 228*r = 213*r + 75. Determine f(r).
2
Let t(x) = 8*x - 11. Let q(w) be the second derivative of -5*w**3/6 + 13*w**2/2 + 76*w. Let f(k) = 3*q(k) + 2*t(k). Calculate f(-7).
10
Let q(c) = 69. Let k(i) = 14. Let l(y) = -5*k(y) + q(y). Suppose j = 0, -3*g + 4*j + 5 = -13. Let w(m) = m**2 + m + 6. Let o(x) = g*l(x) + w(x). Calculate o(3).
12
Let u(r) be the first derivative of -r**3/3 - 13*r**2/2 - 42*r + 144. Determine u(-8).
-2
Let x(m) be the second derivative of -1 - 1/2*m**2 - 11*m + 1/12*m**4 + 0*m**3. Suppose 0 = -5*z + 5*f + 20, -5*z + 4*z - 3*f - 4 = 0. Determine x(z).
3
Let d(y) = -y**2 + 4*y**2 - 2 - 2*y**2 + 3 + 7*y. Let c(n) = -7*n - 22. Let q be c(-6). Suppose 0 = -4*z - b - q, 3*z - 2*b = 2*b + 4. What is d(z)?
-11
Let n be 39/15 - (-48)/(-80). Let h(d) = d**3 + 4*d**2 - 6*d - 2. Let a be h(-5). Let b(v) = 8*v + 2*v**3 - 9*v - 4 + 6 - a*v**2. What is b(n)?
4
Let g(t) = 0*t + 1 - t + 3*t. Let a = 55646 + -55647. What is g(a)?
-1
Let i(g) = 18*g + 2. Let s(j) = 4*j + 1. Let h(n) = i(n) - 5*s(n). Suppose -3*m = 3*f - f - 2, 0 = -m + 4. Determine h(f).
7
Let y(g) = g**2 + 3*g. Suppose 0 = -3*p - 5*i + 577, 4*p + 3*i - 777 = 4*i. Let u = p - 192. What is y(u)?
10
Let s(z) be the third derivative of z**6/120 + 3*z**5/20 + 17*z**4/24 - 3*z**3/2 + 335*z**2 + 1. Calculate s(-5).
6
Let r be 9 + 1650/(-176) - 9/(-24). Let n(y) = y**3 - 2*y**2 + 22*y - 5. Calculate n(r).
-5
Let g = -845 - -884. Let c = g + -38. Let o(a) = 2*a**2 + a - 1. What is o(c)?
2
Suppose 0 = -37*v + 35*v + 5*a - 52, -2*a - 32 = 4*v. Let j(h) = 22*h + 238. Give j(v).
-4
Let m(t) = -t**2 + 28*t - 91. Let u be (1 + 1 - (19 + 11))*18/(-21). What is m(u)?
5
Let c(k) = 7*k**2 - k + 3. Let h(t) = t**2. Let z(w) = -c(w) + 6*h(w). Let d be (-3)/27 - 259/(-63). What is z(d)?
-15
Let u(i) = -i**2 - 10*i - 15. Suppose -423*t = -388*t + 280. Determine u(t).
1
Let v = 37288 + -37316. Let s(i) = i**2 + 32*i + 91. What is s(v)?
-21
Let p(v) be the third derivative of v**4/24 + 8*v**3/3 - 43*v**2 - 25. Let y(m) = -m - 8. Let q be y(0). Calculate p(q).
8
Let b(l) = 20*l + 1. Let n = 257 + -129. Let y = -129 + n. Determine b(y).
-19
Let k(r) = 1 - 5*r + 2*r - 2*r - r. Let z be (-1067)/(-209) + -3 + 1/((-38)/4). Determine k(z).
-11
Let b(v) = -v**3 + 13*v**2 - 10*v - 6. Let z = 1630 - 1618. Give b(z).
18
Let u(x) = -8*x - 2*x**2 + 8 + 8*x - 4*x. Let g(o) = -o**2 - o + 4. Let s(b) = -7*g(b) + 4*u(b). Give s(-9).
4
Let t be 2/8 + 48/192. Let k(j) be the first derivative of t*j**2 - 2*j + 12. Give k(5).
3
Let m be (-136)/(-476) - 88/14. Let j(w) be the second derivative of 5*w - 4/3*w**3 + 0 - 1/12*w**4 - 7/2*w**2. What is j(m)?
5
Let f be -26*(1 - (-45)/(-18)). Let m(x) = -f + 2*x + 14*x + 8 - 4*x - 8*x. Give m(9).
5
Let a(l) be the second derivative of -l**5/10 + l**4/4 - 2*l**3/3 + 7*l**2/2 - 2*l - 60. What is a(2)?
-5
Let k = -51 - -53. Suppose -k*j + 5*j - 8 = b, 3*j + b - 4 = 0. Let y be (28/(-36)*-3)/(j/(-6)). Let c(z) = 3*z + 10. Determine c(y).
-11
Let w(z) = -z**2 - 2*z - 4. Let a(v) = -6*v**2 - 10*v - 15. Let d(g) = 2*a(g) - 9*w(g). Determine d(-5).
-59
Let f(r) be the first derivative of -r**4/12 + r**2 - 30*r + 36. Let a(v) be the first derivative of f(v). Let x(h) = 2*h - 1. Let n be x(2). Calculate a(n).
-7
Let v(a) = -a. Suppose 5*h = 4*w + 21, 4*w + 3*h = 2*w - 27. Let c be v(w). Let l(n) = -c*n + 3 - 4 - 11*n + 2*n. Determine l(1).
-19
Let f(k) = 2*k**2 - 14*k - 19. Let b(q) = -25*q + 107. Let w be b(4). Give f(w).
-19
Let v(r) = -r**3 - 4*r**2 + 2. Let s = 450 + -447. Suppose s*x - 4 = -4*a, 17 + 11 = -4*x + 3*a. Determine v(x).
2
Let y(c) = -3*c**2 + c + 4. Let p be y(2). Let d(q) = q**2 + 5*q + 9. Let z be d(p). Suppose 38*u = 43*u - z. Let n(t) = t**2 + 1. Calculate n(u).
10
Suppose -1 + 13 = 3*l + z, 0 = 3*l - 4*z - 27. Suppose 0 = 4*g + d - 6, l*g - g + 2 = -5*d. Let u(w) = 2 - 2*w**3 - 4*w + 5*w - 2 + 2 + g*w**2. Determine u(2).
-4
Let i(r) = -r - 7. Let f = -581 + 216. Let p = f - -358. Determine i(p).
0
Let u(h) be the second derivative of h**5/20 - 7*h**4/12 - h**3/6 + 2*h**2 + 1653*h. Calculate u(6).
-38
Let v be ((-6)/(-14))/((-266)/1862). Let o(u) = -8*u - 25. Determine o(v).
-1
Let w(b) = -b**3 + 5*b**2 + 2*b. Let u = -45 + 31. Let i = u + 52. Let o = i + -33. Determine w(o).
10
Let a(d) be the first derivative of d**4/4 - 8*d**3/3 + d**2/2 - 8*d - 16. Let f = 20 - 18. Suppose 0 = -5*v - k + 42, -v + f = -2*v + 5*k. Give a(v).
0
Suppose 1111 + 618 = -648*l - 863. Let y(m) = 3*m - 9. Let d(j) = -8*j + 26. Let n(g) = -4*d(g) - 11*y(g). Calculate n(l).
-1
Let l(q) = 3*q**2 + 2*q. Let y(w) = 32*w**2 + 5*w + 6. Let i(o) = -6*l(o) + y(o). Calculate i(1).
13
Let g = -17561 + 17573. Let d(t) = -t**3 + 12*t**2 + 2*t - 17. Determine d(g).
7
Let t(d) be the second derivative of -d**5/20 + d**4/12 + 11*d**3/6 - 19*d**2/2 - 993*d. Determine t(4).
-23
Let x(w) = -w**3 - 3*w**2 - 1. Let j = 660 + -662. Calculate x(j).
-5
Let j = 87 + -80. Let o be ((-82)/(-3))/((j + -4)/(-9)). Let w = -84 - o. Let a(t) = t**2 - 3*t - 1. Calculate a(w).
9
Let i(j) = -2*j**2 - j - 1. Let n be (-84)/(-56) - (-30)/(-12). Give i(n).
-2
Let j(l) = -l**3 + 23*l**2 - 2*l + 21. Let f(k) = k**3 - 22*k**2 + 2*k - 27. Let o(s) = -4*f(s) - 3*j(s). Calculate o(19).
7
Let c(m) = m**3 - 20*m**2 - 70*m + 21. Let x(l) = -372*l - 2209. Let u be x(-6). Calculate c(u).
-2
Let s(a) be the third derivative of -a**8/10080 - a**7/1260 - a**6/180 + 43*a**5/30 + 139*a**2. Let z(k) be the third derivative of s(k). What is z(-3)?
-10
Let d(y) = -12*y - 70. Let t be d(-6). Suppose 0 = t*f + 6*f + 32. Let x(z) = -z - 4. Let g(c) = -c - 4. Let o(h) = -4*g(h) + 3*x(h). Calculate o(f).
0
Suppose -2*t + r - 30 = 0, -4*r - 49 = t + 4*t. Let m be t*(4 + -1 - 5). Let u(v) = m*v**2 + 5 + 4*v**3 - 31*v**2 - 3*v**3. Calculate u(5).
5
Suppose -185884 + 185740 = 24*v. Let x(i) = i**2 + 8*i - 1. Let k(j) = -2*j**2 - 17*j + 2. Let l(d) = 2*k(d) + 5*x(d). What is l(v)?
-1
Let g(l) = -l**2 - 4*l + 5. Suppose -16*y + 45 = -3. Suppose -y*j - 113 = -95. Determine g(j).
-7
Let c(w) = w**3 + 13*w**2 - 27*w + 46. Suppose -3*m - r - 39 = 0, -r + 29 = 4*m + 83. What is c(m)?
1
Let y(g) = -10*g. Let s(m) = -m**3 - 14*m**2 - 35*m - 53. Let t be s(-12). Let i = t + -80. Calculate y(i).
10
Let p(l) = -2*l**2 - 4*l - 4. Suppose 0 = 38*r - 60*r + 66. Suppose r*q + 18 = -3*j, -5*j - 4*q = -6*j + 14. Determine p(j).
-4
Let r be (-7)/(-2) + 2/4 - 197. Let t = -189 - r. Let f(p) = 2*p + 4. Give f(t).
12
Let p(o) be the first derivative of 1/2*o**2 - 2/3*o**3 + 172 + 7*o. What is p(-2)?
-3
Suppose -11 + 20 = -3*d. Let q be (-4 + 5)/(d*2/(-30)). Let w(l) = 6*l - 6. Calculate w(q).
24
Let y(x) = x**2 + 23*x - 33. Let t be (56/(-3))/(10*(-4)/(-60 | {
"pile_set_name": "DM Mathematics"
} |
What are the prime factors of u?
3, 151
Suppose -697*z + 4*r = -695*z - 45824, -68680 = -3*z - 2*r. What are the prime factors of z?
2, 107
Suppose 60*a = 41*a. Suppose a = 5*s + 2*h - 6928, -627 = 4*s - 3*h - 6174. List the prime factors of s.
2, 3, 7, 11
Suppose -5*b = -4*p + 7789, 0 = -6*b + 5*b + 5*p - 1541. Let o = b + 2283. List the prime factors of o.
2, 19
Let y(n) = 74*n**2 - 14*n + 3. Let d be y(4). Suppose 5*x + 4*t = 2545, 5*x + t - 3676 + d = 0. What are the prime factors of x?
509
Let o be 4/1 + -3 + -48. Let a = -39 - o. Suppose 2*t = 3*h + 46, a*t - 92 = 3*t - 4*h. What are the prime factors of t?
2, 5
Let q = -18560 + 68058. List the prime factors of q.
2, 24749
Suppose -q = -4*r + 9, 3*r = -q + 4*q + 18. List the prime factors of (-1)/3*3345/q.
223
Let r(t) = 2*t**2 - 8*t - 507. Let z be r(0). Let n = -188 - z. What are the prime factors of n?
11, 29
Let l(g) = -2*g**3 + 69*g**2 + 37*g - 67. Let x be l(35). What are the prime factors of -914*(x + (-21)/6)?
457
Let z = 12539 + -5499. Suppose -8*p = 8*p - z. What are the prime factors of p?
2, 5, 11
Let p = 2859 + -2039. Suppose 5*n = -a + 419 + p, -n + 3*a + 235 = 0. List the prime factors of n.
13, 19
Suppose 1077 = 4*t - 367. Suppose -3*z = -5*a - 513, 0 = -2*z - 2*a - a + t. Suppose 0 = -7*x + z + 13. What are the prime factors of x?
3
Suppose -3*p - 156 - 199 = -2*w, 4*w = 4*p + 472. Let v = 316 + p. What are the prime factors of v?
197
Let s(y) = y**3 - 5*y**2 + 11*y + 8. Suppose -2*g - 66 = -78. List the prime factors of s(g).
2, 5, 11
Let d(r) = 40*r**3 + 3*r**2 + r - 3. Let i be d(1). Let n = 44 - i. Suppose -n*b = -5*f + 75, -4*f - b + 87 = 2*b. What are the prime factors of f?
2, 3
Let s(q) = -q**2 + 14*q - 47. Suppose -21 = -z - 3*w, -3*w = -2*z - w + 10. Let x be s(z). What are the prime factors of 5 + 77 + (-10)/x?
3, 29
Let h(k) be the third derivative of k**6/60 - 4*k**5/5 + 5*k**4/12 + 13*k**3/6 - 9*k**2 + 8. List the prime factors of h(24).
11, 23
What are the prime factors of (6620 - 0)*220/275?
2, 331
Let b be -1 - (-181 - -1) - (-72 - -81). Let z be 304/(-6) + (-1)/3. Let j = b + z. List the prime factors of j.
7, 17
Let n = -365 - -364. List the prime factors of n/((-1)/(-2)) + (660 - -52).
2, 5, 71
Let a(j) = j + 24 + 27*j + 36*j. Let f be a(4). Suppose 8*s - 6*s - f = 0. List the prime factors of s.
2, 5, 7
Let p(u) be the third derivative of u**4/8 + 19*u**3/6 + 10*u**2. Let g be p(-7). List the prime factors of 108 - (g + 3/(-3)).
3, 37
Let h = -2235 - -1180. List the prime factors of -5*8/(-140) + h/(-7).
151
Let h(d) = -173*d + 48. Let o be h(5). Let m = o + 1280. List the prime factors of m.
463
Suppose 2*j - 1 = 5. Suppose 0 = -4*l + 5*x, -19 = -2*l - j*x + 3. Suppose 3*o - 349 = l*y, 2*o + 3*y + 0*y - 201 = 0. List the prime factors of o.
2, 3
Suppose 2*u + 3*g + 0*g = -49, -3*g = -2*u - 31. Let h be 6*2/u*15/(-3). List the prime factors of 36 + h - 6/(-2).
2, 3, 7
Let h = -2483 + 6888. What are the prime factors of h?
5, 881
Suppose -5039891 = -188*d - 1213527. List the prime factors of d.
20353
Let m(l) = -3559*l - 1029. List the prime factors of m(-5).
2, 83, 101
Let w(d) = -d**3 - 2*d**2 - 3*d - 3. Let r be w(-2). Let k = 2973 + -2977. What are the prime factors of 149 - ((k - -2) + r)?
2, 37
Suppose 2855*k + 41437 = m + 2853*k, -4*k + 207213 = 5*m. List the prime factors of m.
29, 1429
Suppose -1 + 6 = v. Suppose -x - 1088 = -v*x. Let c = -180 + x. What are the prime factors of c?
2, 23
Let p(y) = 22*y**2 + 13*y + 153. Let x be p(-11). Suppose 0 = -k - 3*j + 1356, -2*k = -4*j + 2*j - x. List the prime factors of k.
3, 149
Let n be (11 - 12)*(-7 - 0). Suppose -556 = -n*j + 480. Let x = 234 - j. List the prime factors of x.
2, 43
Let g = 165 + 54. Let t = g - 124. What are the prime factors of t?
5, 19
Let f be 2/(-3)*27/(-6). Let k be 2/((f - 149/37) + 1). Let t = k + 86. List the prime factors of t.
2, 3
Suppose d + 9 - 19 = 0. Let p be -299 + (d - 9)/((-2)/(-6)). Let f = -168 - p. List the prime factors of f.
2
Suppose 5*b = -2*r + 169852, -13*r + 14*r = b - 33976. What are the prime factors of b?
2, 3, 19, 149
Let k = 8201 - 7752. List the prime factors of k.
449
Suppose 3*m - 5*o = 50226, -5*m + 143*o = 144*o - 83654. What are the prime factors of m?
2, 47, 89
Let t be (2 + -8)/(2/13). Let w = -940 - -1052. Let j = w + t. What are the prime factors of j?
73
Suppose -3*m - j = 129 - 2199, j - 1380 = -2*m. Let g = m + -319. List the prime factors of g.
7, 53
Suppose 0 = -62*l - 151*l + 1897830. List the prime factors of l.
2, 3, 5, 11
Let x be 100/26 - (-40)/260. Let n be (-1)/(x/8 - 1) - 157. Let d = n - -401. What are the prime factors of d?
2, 3, 41
Let i(g) = 7*g - 43. Let x be i(6). List the prime factors of (792/308)/(x/(-77)).
2, 3, 11
Let m = 146 - 150. What are the prime factors of m + 2/((-8)/(-620))?
151
Suppose -62*o + 708993 = 2*o + 17*o. List the prime factors of o.
8753
Let o = 1400 - 29. Suppose 7*w = -f + 3*w + 255, -5*f = -4*w - o. List the prime factors of f.
271
Let f(a) be the second derivative of 5*a**3/2 - 6*a**2 + 2*a - 68. Suppose 2*l - 5*n = 6*l - 1, l = -n + 1. What are the prime factors of f(l)?
2, 3
Suppose 5*w - 4*r = 15, 2*r - 12 = -4*w - 0*r. Suppose -3*v - 15 = w*l, 3*v = 2*l - 9 - 6. Suppose c = -l*c + 55. List the prime factors of c.
5, 11
Suppose -3538*l - 485144 = -3612*l. List the prime factors of l.
2, 11, 149
List the prime factors of (-16)/12*(-3242415)/860.
11, 457
What are the prime factors of 24/63*-7*-13161?
2, 41, 107
Suppose 0 = -j + 4*p + 19252, 3*j + p - 47231 = 10538. List the prime factors of j.
2, 29, 83
Suppose 765*y - 770*y = -2360. Suppose y = 4*m + 5*p - 4351, 4*p = -4. What are the prime factors of m?
17, 71
Suppose -2*i + 1 = -9, i = 3*v - 10. Suppose 2*d = 3*d - 2. Suppose v*f = d*g + f - 56, g - 48 = -2*f. What are the prime factors of g?
2, 19
Suppose 3*o - 45 = 4*h - 23, -2*o - 3*h = 8. Let f = -112 - -189. Suppose o*i - 3*i + f = 0. What are the prime factors of i?
7, 11
Suppose 3*g + 13147 = 5*f, -33*g + 5246 = 2*f - 31*g. What are the prime factors of f?
37, 71
Let j be (-3)/3 + (-992 - 4)/(-6). Let k = j - -260. List the prime factors of k.
5, 17
What are the prime factors of (1/5*-2)/((-264)/30465600)?
2, 5, 577
Suppose -73*s + 209*s - 3176714 = 1136798. List the prime factors of s.
7, 23, 197
Suppose 21*j - d = 17*j + 30473, 3*d = 3*j - 22866. List the prime factors of j.
3, 2539
Suppose -7*l = -11*l - 2*m + 6046, -4*l - 3*m = -6039. What are the prime factors of l?
3, 5, 101
Let z = 24 + -13. List the prime factors of 161 - (z/(-5) + (-5)/(-25)).
163
Let v(n) = 58*n - 187. Let r = -708 + 739. What are the prime factors of v(r)?
3, 179
What are the prime factors of 30/(-4)*(-3448 + 34)?
3, 5, 569
Suppose 26*g = 29*g - 210. Let a = g - 50. Suppose -a = -4*t, -u + 0*t + t = -147. What are the prime factors of u?
2, 19
Suppose 0 = 21*i - 17*i. Suppose i = 4*v + k - 256, 3*v + 5*k + 84 = 293. Suppose -740 = -68*l + v*l. What are the prime factors of l?
2, 37
Let z = -24 - -24. Suppose z = -f - f + a + 802, 5*a + 10 = 0. List the prime factors of f.
2, 5
Let g(j) = -j**3 + 17*j**2 + 36*j + 3. Suppose -8*a + 23 = -113. Let l be g(a). Suppose -4*c - l = -7*c. List the prime factors of c.
5, 41
Suppose -14*k - 350 + 420 = 0. Suppose -2*s + 2*n = -934, -2*n + 5*n + 1869 = 4*s. Suppose k*z - s = 247. What are the prime factors of z?
11, 13
Suppose 4*t = -44 - 44. Let o = -19 - t. Suppose o*p = -5*x + 285, -p = -0*p + 4*x - 102. What are the prime factors of p?
2, 3, 5
List the prime factors of (-157)/(((-24)/162)/4).
3, 157
Let b(q) = -6*q**3 + q**2 - 4*q + 1. Let c(i) = 7*i + 24. Let z be c(-21). Let y = z - -120. List the prime factors of b(y).
2, 23
Let t(o) = -8*o + 41. Let f be t(6). What are the prime factors of ((-18)/(-1) - f)*29/1?
5, 29
Let j(z) = 4*z**3 + z - 4. Let v = -54 - -56. Let r = v - -1. What are the prime factors of j(r)?
107
Let t = 102 - 123. Let s(p) = -40*p + 38. List the prime factors of s(t).
2, 439
What are the prime factors of (246/(-369))/(2/(-840))?
2, 5, 7
List the prime factors of (-16 + 994/70)*-1065.
3, 71
Suppose 5*w - 10 = -5. Let k be ((9 - 4) + -13)/(w/(-2)). Let f(j) = -j**2 + 22*j - 26. What are the prime factors of f(k)?
2, 5, 7
Let g = 2 | {
"pile_set_name": "DM Mathematics"
} |
6. Calculate x(23).
-29
Let l(h) = -2*h - 22. Determine l(-8).
-6
Let c(g) = -11*g + 166. Determine c(15).
1
Let u(l) = 10*l**2 + 12*l + 18. Give u(-4).
130
Let i(p) = -12*p + 133. What is i(11)?
1
Let v(z) = -z**2 + 16*z + 24. Determine v(17).
7
Let x(w) = w**2 + 14*w + 37. Give x(-3).
4
Let r(d) = -5*d + 1. Determine r(1).
-4
Let z(x) = -x**2 + x + 6. Determine z(-5).
-24
Let k(q) = -5*q**2 - 25*q - 4. Give k(-4).
16
Let m(o) = -o**2 - 30*o + 70. Determine m(-32).
6
Let p(r) = -3*r**3 + 19*r**2 - 17*r - 9. Determine p(5).
6
Let c(u) = -u**3 - 4*u**2 - 5*u - 11. Calculate c(-4).
9
Let q(z) = -z**2 - 26*z - 88. Determine q(-22).
0
Let f(q) = 5*q - 164. What is f(30)?
-14
Let h(m) = -16*m + 6. Calculate h(-7).
118
Let x(f) = f**3 - 4*f + 4. Determine x(4).
52
Let q(z) = -5*z**3 - 49*z**2 + 12*z + 42. What is q(-10)?
22
Let u(m) = 9*m + 85. What is u(-19)?
-86
Let m(q) = q**3 - 7*q**2 + q - 5. Give m(7).
2
Let r(u) = u**3 + u**2 + 2. Give r(-2).
-2
Let y(l) = l**3 - 17*l**2 - l + 2. Determine y(17).
-15
Let h(u) = -4*u**3 - u**2 + 1. Calculate h(1).
-4
Let f(r) = 6*r**2 + 3*r + 2. What is f(-4)?
86
Let h(z) = 3*z**3 + 4*z**2 + 15*z + 33. Calculate h(-2).
-5
Let u(b) = -b**3 - 14*b**2 - b - 3. Give u(-14).
11
Let n(o) = 2*o**3 - 14*o**2 - 18*o + 11. Determine n(8).
-5
Let l(h) = -h + 6. Calculate l(14).
-8
Let i(o) = o**2 - 10*o - 9. Give i(11).
2
Let s(n) = 5*n + 50. Calculate s(-9).
5
Let u(i) = i**3 - 56*i**2 - 56*i - 61. What is u(57)?
-4
Let h(n) = -4*n - 14. Give h(-1).
-10
Let a(c) = -17*c**2 - c - 22. Give a(0).
-22
Let y(q) = 2*q + 4. Determine y(0).
4
Let z(d) = -d - 12. Calculate z(9).
-21
Let i(a) = -a**2 + 6*a + 36. Determine i(9).
9
Let q(w) = -16*w + 36. Determine q(4).
-28
Let t(l) = -l**2 + 24*l - 26. Give t(23).
-3
Let n(m) = -m**3 - 8*m**2 - 5*m + 6. Calculate n(-5).
-44
Let o(x) = 2*x - 23. What is o(-5)?
-33
Let c(j) = -2*j**3 - 4*j**2 - 2*j + 1. What is c(-1)?
1
Let i(r) = 2*r**2 + 8*r + 16. What is i(-6)?
40
Let c(t) = -t**2 - 6*t + 11. Determine c(-9).
-16
Let l(z) = -13*z**2 + 4*z - 3. Give l(2).
-47
Let g(k) = -7*k + 292. Calculate g(41).
5
Let s(d) = 2*d**2 + 9*d + 26. Calculate s(-3).
17
Let k(h) = -h**2 + 8*h - 3. What is k(9)?
-12
Let a(b) = -4*b**2 - 5*b - 3. What is a(-3)?
-24
Let g(n) = -n**3 - 5*n**2 + 22. Give g(-4).
6
Let h(o) = 4*o - 87. Give h(26).
17
Let i(x) = x**3 - 18*x**2 - 21*x + 36. What is i(19)?
-2
Let k(f) = 8*f + 145. What is k(-18)?
1
Let m(l) = -l**2 + 20. Calculate m(-4).
4
Let o(a) = a**3 - 12*a**2 - 14*a + 15. What is o(13)?
2
Let r(x) = 3*x - 4. What is r(3)?
5
Let n(v) = -52*v + 2. Calculate n(1).
-50
Let l(z) = z**3 - 16*z**2 - 18*z + 41. Give l(17).
24
Let p(q) = 22*q**2 - q - 1. Give p(-1).
22
Let s(q) = q**2 + 5*q - 23. Calculate s(-8).
1
Let g(n) = -n**3 - 2*n**2 + n + 98. Give g(0).
98
Let o(w) = 44*w - 36. Determine o(1).
8
Let g(b) = -3*b + 9. Give g(11).
-24
Let j(s) = -2*s - 13. Determine j(-8).
3
Let y(t) = 2*t**2 + 15*t - 5. Determine y(-7).
-12
Let d(x) = x**3 + 6*x**2 - 14*x. What is d(-8)?
-16
Let k(a) = -a**3 + 25*a**2 - 3*a + 62. Give k(25).
-13
Let f(v) = v**2 - 4*v + 5. What is f(2)?
1
Let f(c) = 5*c**2 - 4*c - 2. Calculate f(-4).
94
Let i(l) = -l**2 - 9*l - 19. Determine i(-11).
-41
Let l(p) = 6*p + 53. Calculate l(0).
53
Let v(r) = r**2 + 26*r - 377. Determine v(-36).
-17
Let s(d) = 2*d**2 - 2*d - 5. Determine s(4).
19
Let b(o) = -o**2 - 37*o - 26. What is b(-35)?
44
Let h(l) = -l**2 + 2*l - 5. What is h(4)?
-13
Let k(q) = q**3 + 28*q**2 + 77*q + 57. Determine k(-25).
7
Let v(b) = -4*b**3 - 2*b**2 - b - 4. Give v(-2).
22
Let i(s) = -3*s - 1. Calculate i(8).
-25
Let x(t) = -t**3 - 9*t**2 + 8*t - 7. What is x(-10)?
13
Let o(v) = -3*v - 18. What is o(-7)?
3
Let r(j) = 10*j**2 + 54*j + 28. What is r(-5)?
8
Let g(o) = 2*o + 71. Determine g(-35).
1
Let n(c) = -c**2 - 5*c + 8. Calculate n(3).
-16
Let n(i) = 2*i**2 + 70*i + 61. Give n(-34).
-7
Let i(b) = -4*b - 9. Determine i(7).
-37
Let y(j) = -6*j**2 - j + 2. Determine y(1).
-5
Let y(u) = 7*u**2 - 2*u. Determine y(-2).
32
Let c(q) = q**2 - 9*q + 20. Give c(6).
2
Let b(k) = -k**2 + 12*k + 29. Give b(0).
29
Let j(x) = -x**2 - 7*x - 5. Give j(-5).
5
Let c(q) = q**3 + 8*q**2 + 15*q + 6. What is c(-3)?
6
Let v(m) = 8*m + 8. Give v(0).
8
Let h(r) = -r**3 + 23*r**2 - 24*r + 18. What is h(22)?
-26
Let t(j) = -j**3 - 21*j**2 - 20*j + 12. Give t(-20).
12
Let b(o) = o - 1. Calculate b(-9).
-10
Let f(q) = -5*q**3 - q**2 + 1. Give f(1).
-5
Let a(z) = -19*z + 5. Determine a(6).
-109
Let g(d) = -d**3 - 5*d**2 - 4*d. Calculate g(-4).
0
Let j(z) = -4*z**2 - z + 1. What is j(1)?
-4
Let k(o) = 2*o + 20. Calculate k(-15).
-10
Let p(x) = 17*x. Calculate p(-3).
-51
Let v(u) = 4*u**2 + 3*u - 2. Calculate v(-4).
50
Let b(k) = -41*k - 1064. What is b(-26)?
2
Let j(w) = -3*w + 24. What is j(7)?
3
Let u(j) = 4*j - 15. Calculate u(7).
13
Let l(d) = d - 3. Calculate l(-3).
-6
Let s(l) = -l**3 - 4*l**2 + 5*l - 5. Give s(-5).
-5
Let w(o) = 5*o**2 + 147*o - 88. Calculate w(-30).
2
Let v(a) = -2*a**3 + 10*a**2 + 6*a - 3. Determine v(5).
27
Let r(q) = q**3 - 2*q**2 + 2. Give r(0).
2
Let u(b) = -b - 11. Give u(-10).
-1
Let t(j) = j + 14. Determine t(5).
19
Let w(x) = -x**3 - 13*x**2 - 30*x - 26. What is w(-9)?
-80
Let n(f) = -6*f**2 - f. What is n(-1)?
-5
Let o(c) = c**2 + 27*c + 43. Give o(-25).
-7
Let d(z) = -5*z + 7. What is d(9)?
-38
Let u(o) = o + 9. Determine u(-13).
-4
Let h(l) = -l**2 + 4*l + 41. Calculate h(8).
9
Let b(j) = j**3 - 13*j**2 + 13*j - 15. Give b(12).
-3
Let b(f) = 2*f**2 + f + 10. Determine b(-10).
200
Let w(o) = -o**2 - 7*o + 3. What is w(-6)?
9
Let v(w) = w**3 - 37*w**2 - 46*w + 294. Determine v(38).
-10
Let f(m) = -m**2 - 8*m + 6. What is f(-9)?
-3
Let u(l) = 4*l + 30. What is u(-11)?
-14
Let q(s) = -3*s - 6. Calculate q(-6).
12
Let a(l) = 9*l**2 + 5*l - 1. What is a(1)?
13
Let l(a) = -a**3 + 7*a**2 + a + 6. What is l(6)?
48
Let m(f) = -2*f**2 + f - 2. Calculate m(4).
-30
Let t(w) = w**2 + 16*w - 16. Calculate t(-17).
1
Let z(f) = f**3 + 3*f**2 - 3*f - 4. Give z(-4).
-8
Let k(f) = -2*f - 20. Give k(0).
-20
Let l(a) = 7*a + 73. Give l(-10).
3
Let a(z) = -z**3 - 5*z**2 + 2*z + 6. Give a(-4).
-18
Let p(k) = 26*k**2 + k - 2. Calculate p(1).
25
Let x(k) = -2*k**3 + 48*k**2 - 47*k + 24. What is x(23)?
1
Let x(t) = -11*t**2 + 2*t + 7. Give x(-2).
-41
Let i(s) = s + 24. Determine i(-14).
10
Let z(p) = 9*p**2. Calculate z(2).
36
Let p(l) = l**3 + 13*l**2 - 5*l - 66. Calculate p(-13).
-1
Let s(z) = -2*z - 19. Calculate s(-13).
7
Let d(g) = -g**2 - 25*g + 14. What is d(-25)?
14
Let w(k) = -5*k**2 - 9*k - 7. Determine w(-3).
-25
Let d(w) = -w**2 + 6*w - 6. Calculate d(7).
-13
Let o(v) = 21*v - 2. Give o(-2).
-44
Let t(q) = 8*q - 6. What is t(3)?
18
Let p(h) = -h**2 - 29*h - 172. Give p(-21).
-4
Let c(z) = -z**2 - 18*z - 42. Calculate c(-10).
38
Let p(r) = 2*r - 11. Calculate p(6).
1
Let g(y) = 3*y + 2. Calculate g(1).
5
Let r(y) = y**3 - 7*y**2 + 4*y - 1. Give r(5).
-31
Let s(p) = p + 1. Determine s(-3).
-2
Let k(j) = -j - 19. Give k(-13).
-6
Let o(t) = 73*t**2 + 1. Calculate o(1).
74
Let i(u) = -2*u**2 + 19*u + 13. Determine i(10).
3
Let q(t) = -t**2 - 4*t - 7. Give q(-8).
-39
Let w(b) = b**3 - 5*b**2 + 5*b - 4. What is w(4)?
0
Let g(m) = 6*m - 167. Give g(28).
1
Let c(d) = d - 11. What is c(10)?
-1
Let y(s) = s**3 + 5*s**2 - 4*s - 6. Calculate y(-6).
-18
Let s(c) = -11*c - 11. Determine s(6).
-77
Let r(a) = a - 3. Determine r(3).
0
Let d(y) = -2*y**2 - 31*y - 19. Calculate d(-14).
23
Let b(g) = -8*g + 419. Determine b(51).
11
Let t(c) = 46*c**3 + 6*c**2 + 3*c - 2. Calculate t(-1).
-45
Let u(p) = -p**3 - 7*p**2 - 15*p. Calculate u(-5).
25
Let q(f) = -3*f**2 + 4*f. Calculate q(3).
-15
Let s(b) = -3*b - 65. What is s(-21)?
-2
Let h(o) = -o**3 - 17*o**2 + 11. Calculate h(-17).
11
Let z(y) = -y**3 + 13*y**2 + y - 13. What is z(13)?
0
Let y(z) = z**2 - z - 1. Determine y(3).
5
Let g(c) = -c**3 + 6*c**2 + 4*c + 9. Determine g(7).
-12
Let w(d) = -3*d - 24. Determine w(-8).
0
Let s(u) = -u**2 - 33*u - 31. Calculate s(-32).
1
Let x(a) = -a**2 - 5*a + 44. Calculate x(5).
-6
Let y(x) = x**2 + 7*x - 33. Give y(-10).
-3
Let x(i) = -6*i**2 - 12*i - 6. What is x(-2)?
-6
Let x(c) = c**2 - 14*c + 19. Determine x(12).
-5
Let a(t) = -2*t**2 - 8*t - 10. Determin | {
"pile_set_name": "DM Mathematics"
} |
*2. Let p(n) = -496*n + 43 + 38 - 121 + 40. Give p(f(j)).
496*j**2
Let l(k) = -7*k**2. Let d(o) = -32*o**2 + 12. Let b be (5 - 188/28)/(1/7). Let j(i) = 2*i**2 - 1. Let p(g) = b*j(g) - d(g). What is l(p(m))?
-448*m**4
Let b(f) = -26*f**2 + f - 31850. Let d(w) = 6*w. Give d(b(p)).
-156*p**2 + 6*p - 191100
Let u(o) = 0*o + 6*o + 3*o - 1 - 3 - o. Let b(w) = -5*w**2 + 7*w - 7. Let j(m) = -2*m**2 + 3*m - 3. Let q(l) = 3*b(l) - 7*j(l). What is u(q(f))?
-8*f**2 - 4
Let g(t) = -3*t**2. Let v(d) = -99 - 48 - 115 - 16*d**2 + 22*d**2 + 54. Give g(v(h)).
-108*h**4 + 7488*h**2 - 129792
Let y(r) be the second derivative of r**3/6 - 1135*r. Let s(c) = -c - 23695. Determine y(s(g)).
-g - 23695
Let k(v) = 45*v + 82*v - 132*v. Let p(s) = 101*s + 64*s + 54*s - 259*s. Calculate p(k(r)).
200*r
Let d(i) = -9*i**2 - 63*i + 126. Let k(x) = x - 2. Let f(q) = 5*d(q) + 315*k(q). Let y(w) = -8823*w + 4*w**2 + 8823*w. Determine f(y(v)).
-720*v**4
Let v(u) = 39240*u**2 + 77. Let s(r) = -16*r. What is s(v(z))?
-627840*z**2 - 1232
Let v(r) = 8895 + 7*r**2 - 17781 + 8888. Let z(j) = 14*j. What is z(v(b))?
98*b**2 + 28
Let x(z) = -2*z**2. Let v(s) = 19 + s**2 - 8*s + 17*s - 30*s + 21*s. Calculate x(v(c)).
-2*c**4 - 76*c**2 - 722
Let w(x) = 2*x**2. Let q(j) = 3*j - 1. Let g(s) = 20*s - 158. Let p(r) = g(r) - 6*q(r). What is w(p(m))?
8*m**2 - 1216*m + 46208
Let a(z) = z**2 - 2*z - 3. Let v(i) = 3*i**2 - 8*i - 12. Let j(o) = 4*a(o) - v(o). Let u(p) = 6*p**2 + 5*p. Calculate u(j(d)).
6*d**4 + 5*d**2
Let a(y) = -42*y**2. Let g(b) = -248801*b**2. What is a(g(v))?
-2599881379242*v**4
Let f(d) = -5*d**2 + 0 + 0. Let k(x) be the third derivative of 4*x**4/3 + 7*x**2 + 41*x. Give f(k(g)).
-5120*g**2
Let c be (-15)/(396/(-196) + 2). Let i(g) = 735 + 4*g - c. Let v(o) = -6*o**2 + 4*o**2 + 6*o**2 - 2*o**2. Give v(i(l)).
32*l**2
Let o(d) = 18122*d**2. Let z(u) = 3*u**2 - 131*u. Give z(o(i)).
985220652*i**4 - 2373982*i**2
Let w(x) = 22*x**2. Let g(i) = -5*i**2 + 7274*i - 4. What is g(w(j))?
-2420*j**4 + 160028*j**2 - 4
Let g(r) = 236402285*r. Let c(f) = 3*f**2. Determine c(g(u)).
167658121059663675*u**2
Let k(q) = -6*q**2 + 8*q. Let a(o) = 5*o - 904. Give a(k(s)).
-30*s**2 + 40*s - 904
Let q(l) = l**2. Let b(m) be the third derivative of -58*m**2 + 0*m**3 + 0*m - 55/12*m**4 + 0. What is q(b(a))?
12100*a**2
Let c(k) = -k. Let g(u) = 117*u**2 + 539857. Determine c(g(r)).
-117*r**2 - 539857
Let p be ((-98)/(-21))/7 + (4 - (-4)/12). Let w(c) be the third derivative of 0*c**4 + 0 + 0*c**3 + 21*c**2 + 7/60*c**p + 0*c. Let h(y) = 6*y. What is w(h(d))?
252*d**2
Let z(y) = -8*y. Let k(n) = -3118852*n**2. Determine z(k(j)).
24950816*j**2
Let w(v) = -8631*v. Let h(k) = 111633358*k. Let q(f) = -2*h(f) - 25869*w(f). Let n(o) = o. Calculate q(n(t)).
8623*t
Let w(a) = -42*a**2. Let n(d) = -1911*d + 11. Let i(v) = -719*v + 4. Let f(b) = 8*i(b) - 3*n(b). Determine w(f(g)).
-15162*g**2 - 1596*g - 42
Let c(w) = -303*w**2. Let x(r) = 976*r. Calculate c(x(z)).
-288630528*z**2
Let g(u) = -168*u**2. Let l(r) be the third derivative of r**5/20 - r**2 + 247. Calculate g(l(v)).
-1512*v**4
Let g(v) be the third derivative of -1/60*v**5 + 0*v**3 + 0*v - 248*v**2 + 0 + 0*v**4. Let a(s) = -6*s**2. Calculate a(g(c)).
-6*c**4
Let y(c) = -2*c. Let n(t) = -168798*t + 57. Determine y(n(u)).
337596*u - 114
Let g(o) = -o. Let d(s) = -151337091*s**2. Give g(d(z)).
151337091*z**2
Let h(y) = y**2. Let q be (-50)/(-6)*1/((-2)/6). Let k = 11 + q. Let i(c) = c**2. Let u(p) = k*i(p) + 6*h(p). Let d(t) = -2*t**2. Calculate u(d(r)).
-32*r**4
Let o(g) = -19*g**2 - 66*g. Let t(r) be the third derivative of -r**4/6 + r**2 - 18*r + 16. Calculate o(t(y)).
-304*y**2 + 264*y
Let n be (-3)/(-6)*40/4. Let r(v) = 3*v**2 - n*v**2 + 0*v**2. Let h(m) = -11*m + 5. Let u(d) = -28*d + 12. Let i(c) = 12*h(c) - 5*u(c). Determine i(r(z)).
-16*z**2
Let c(u) = 4639*u**2. Let h(i) be the first derivative of -i**2/2 + 5513. What is h(c(o))?
-4639*o**2
Let v(p) be the second derivative of -p + 0*p**2 + 0*p**3 - 9 - 4/3*p**4. Let c(m) = m**2. Determine c(v(n)).
256*n**4
Let o(m) be the first derivative of 35*m**2 + 5310. Let i(j) = -4*j - 4. Calculate i(o(b)).
-280*b - 4
Let z(v) = -2*v**2. Let k be (10 - 324/30)/((-4)/70). Let h(j) = 7*j - 2. Let s(n) = -20*n + 4. Let x(i) = k*h(i) + 5*s(i). What is z(x(m))?
-8*m**2 - 64*m - 128
Let r(j) be the third derivative of 29*j**4/8 + j**2. Let q(u) be the third derivative of u**4/12 - 37*u**2. What is r(q(n))?
174*n
Let t(u) = 15*u - 6. Let p(l) = 43*l - 21. Let d(h) = -4*p(h) + 14*t(h). Let b(q) be the third derivative of q**4/12 - 8*q**2. Determine b(d(x)).
76*x
Let t(d) = -2*d. Let y(f) = 452*f + 15. Let r(b) = -98085*b - 3250. Let i(o) = -3*r(o) - 650*y(o). Determine t(i(s)).
-910*s
Let x(w) = -w**2. Let c(g) be the second derivative of 139*g**3/6 + g**2 + 2316*g. Give x(c(y)).
-19321*y**2 - 556*y - 4
Let n be ((-51)/68)/((-3)/8). Let v(w) = 3*w + 1532*w**n - 767*w**2 - 764*w**2 - 3*w. Let u(c) be the third derivative of -7*c**5/15 - c**2. Determine u(v(b)).
-28*b**4
Let l(d) = 192*d - 1. Let v(c) = 193*c - 1. Let h(z) = l(z) - v(z). Let f(k) = -955*k**2. Determine f(h(w)).
-955*w**2
Let d(j) = -184601*j**2 - 646*j + 1. Let z(k) = -k. Determine d(z(x)).
-184601*x**2 + 646*x + 1
Let h(g) = -g**3 - 9*g**2 + 9*g - 8. Let b be h(-10). Let f be (0 - 7)/(2/(-4 + b)). Let j(n) = -7*n - f*n + 14*n - 3*n. Let z(w) = 6*w**2. Calculate j(z(p)).
-18*p**2
Let u(d) = -4*d**2. Let r(a) = -30*a - 268. Let k be r(-9). Let y(p) = -24*p**2 + 3 + 0 - 54*p**k - 3. Calculate u(y(n)).
-24336*n**4
Let j(l) = -3*l. Let v be (-32)/40 - (-11)/(-5). Let o be (13 - 2)/(3/v + 2). Let u(w) = -18*w - 3 + o*w + 3. What is u(j(k))?
21*k
Let s(j) = 6*j - 19. Let t(a) be the first derivative of -5*a**2/2 + 1035. Give s(t(v)).
-30*v - 19
Let n(g) = -9387*g - 70. Let v(k) = 14080*k + 98. Let u(f) = 7*n(f) + 5*v(f). Let i(q) = 3*q. Give i(u(j)).
14073*j
Let x(g) = -g - 5. Let m(j) = 3*j**2 - j - 5. Let t(u) = -4*m(u) + 4*x(u). Suppose 0 = -2*o - 0*o + 4. Let d(l) = -o - 2*l + l + 2. What is d(t(i))?
12*i**2
Let d(b) = 160 - 205 + 45 - 23*b**2. Suppose 2*r - 2 = -0. Let n(a) = -r + 1 + a**2 + 0. What is n(d(u))?
529*u**4
Let k(o) be the first derivative of -573*o**2/2 + 909. Let f(z) = -z**2. Give f(k(i)).
-328329*i**2
Let d(c) = 15*c. Let a(t) = 3243200*t. Calculate d(a(k)).
48648000*k
Let k(p) = -p. Let f(l) be the second derivative of l**4/12 - 35*l**3/6 - 35*l**2/2 - 2737*l. Calculate k(f(o)).
-o**2 + 35*o + 35
Let s(i) = -85416889*i. Let k(a) = -a**2. What is s(k(v))?
85416889*v**2
Let q(w) = 5709539*w - 247632. Let p(l) = 4426*l - 192. Let s(f) = -5159*p(f) + 4*q(f). Let y(b) = -2*b**2. Calculate y(s(h)).
-39108168*h**2
Let z(y) = 19*y. Let g(h) = -8023672*h. Calculate z(g(u)).
-152449768*u
Let k(u) = -2*u**2. Let a(d) be the first derivative of 9594 - 11*d**3 - 9749 - 5*d**3. What is k(a(h))?
-4608*h**4
Let t = -47 - -49. Let u(z) = 30*z + 7. Let r be u(8). Let g(i) = -r*i + 247*i - 7*i**t. Let x(v) = -2*v**2. What is x(g(h))?
-98*h**4
Let h(j) = 72*j - 154*j**2 + 84*j + 2200*j**2 - 154*j. Let w(y) = y. What is w(h(r))?
2046*r**2 + 2*r
Let v(n) = 121*n**2. Let m(r) = -9*r**2 - 10*r + 2. Let o(i) = 28*i**2 + 35*i - 7. Let l(s) = 14*m(s) + 4*o(s). Determine v(l(p)).
23716*p**4
Let s = -440 + 442. Suppose -y - y + 16 = 0. Let v(d) = y*d + s*d - 7*d. Let u(p) = 6*p**2. What is v(u(k))?
18*k**2
Let y = 39 + -30. Suppose 2*h = -y*h + 11. Let w(z) = -h - 13 - 9*z**2 + 6*z**2. Let q(t) = t. Calculate q(w(m)).
-3*m**2 - 14
Let d(j) = j. Let p(v) be the second derivative of -v**3 - 3*v**2/2 - 5*v - 77. Give d(p(x)).
-6*x - 3
Let n(k) = -8947*k**2 + 8948*k**2 - 2*k + 2*k. Let l(s) = -59*s - 4. Let f(d) = -60*d - 5. Let h(c) = -6*f(c) + 7*l(c). What is n(h(m))?
2809*m**2 - 212*m + 4
Let i(o) = -217*o - 24304. Let v(c) = -56. Let a(r) = i(r) - 434*v(r). Let q(b) = 14*b**2. Calculate q(a(d)).
659246*d**2
Let x(n) = 3101*n + 31. Let v(i) = 2*i + 121. Calculate v(x(y)).
6202*y + 183
Let x(k) = -k. Let i be (-10 + 931)*(0 + 3/9). Let u(a) = 69*a**2 - i*a + 307*a. Give u(x(g)).
69*g**2
Let p(g) = -896*g. Let x(h) = -h**2 - 252217 + 252217. Determine x(p(d)).
-802816*d**2
Let a(k) = 2*k**2. Let u(j) = 2327*j**2 + j + 152. What is u(a(o))?
9308*o**4 + 2*o**2 + | {
"pile_set_name": "DM Mathematics"
} |
pose 5*t - 5 = 0, -38 = -3*s + 13*t - 15*t. Solve 17*z - s*z = -3*p + 13, 0 = -4*z + 20 for p.
-4
Let t be (2 + 18/(-8))*22792/1078*-7. Solve 39*v - t*v + 2 = 2*g, -g = 2*v + 8 for g.
-2
Suppose -3 = -3*z + 3. Suppose 3*q - 5*f - 12 = -1, -z*q = -4*f - 8. Suppose -368*l = -379*l + 44. Solve 14 = -4*d - q*h, 4*d + 3 = 5*h - l for d.
-3
Suppose -5*i = -2*i - 12. Let f(y) = -12 + 3*y - i - 5. Let b be f(8). Solve -w - q = -6*q + 16, 3*w + 2*q = b for w.
-1
Let d be ((-129)/9)/((-8)/120). Let n = d - 212. Solve -3*z + 3 = -3*m, -3*z - n*m = -1 + 10 for z.
-1
Let f(g) = -g**3 + 34*g**2 - 27*g - 155. Let x be f(33). Let q = 46 - x. Solve v + 17 = -5*k, 6*v - 3*v = -q*k - 3 for v.
3
Suppose u = w - 7, 19*w - 81 = 16*w + 18*u. Solve -3*r - 21 = w*x, 31*r - 27*r + 24 = -3*x for r.
-3
Suppose -29*w + 21*w - 288 = 0. Let r be 6 - 4/(w/(-27)). Suppose 0*o = 4*o. Solve f + 4*h = 2*f + 7, -3*f - r*h - 6 = o for f.
-3
Let b(x) = -35*x**3 + 40 + 94*x**3 - 34*x**2 - 27*x**3 - 33*x**3 + 73*x. Let t be b(-36). Let u = 4 - -1. Solve -u*a + 10 + 2 = -3*j, -5*j + t*a = 7 for j.
1
Let h(b) = -b**3 - 11*b**2 - 5*b + 54. Let v = 595 - 605. Let g be h(v). Let m = -4 - -5. Solve -2*p - m = -a + 7, 11 = -p + g*a for p.
-3
Suppose 53 = 4*l - 3. Let d = 33 + -21. Suppose -l*y = -20*y + d. Solve 3*c = y*z + 12, 2*c - 11 = -3 for z.
0
Let d be ((-2)/4)/((-1)/2*(-108)/(-540)). Solve -d*l + 2*o - 25 = 0, 13*l - o + 20 = 8*l for l.
-3
Let m(q) = q**3 + 22*q**2 + 39*q - 18. Let l be m(-20). Let b be 6/l + (0/2)/7. Solve 1 - b = -p, -5 = -3*f - p for f.
1
Let j(x) = 18*x - 116. Let h be j(7). Solve 3*q - h = 3*u - q, -3*q = -4*u - 4 for u.
2
Let d be ((-9)/6)/(-3) - (-1032)/(-48). Let i be (-10)/35 - (2 - (-258)/d). Solve v = -2*j - j - 6, 3*v + i = -j for j.
-1
Let m be (2 - 0 - -2) + 0. Let c be (-2)/(10/m*(-28)/(-245)). Let l be (-4)/c*3/(18/21). Solve 2*w = w - 3*k - 4, -2*w - l*k = 8 for w.
-4
Let o = -773 + 224. Let c = -547 - o. Solve -2*x = -4*w - 10, -w - c = -x - 0 for w.
-3
Let j be 29/5 - 60/75. Solve -4*d = -3*s - 19, 0*s + 3*d = -j*s - 22 for s.
-5
Let b(r) = 239*r - 953. Let j be b(4). Solve -v + 6 = -5*c, -3*c + 5 = -j*v - 1 for c.
-2
Let j be 1023/682 - (2/(-10))/(2/5). Solve 0 = -4*u + 5*c - 24, 0 = -u - 4*c + j*c + 7 for u.
-1
Let o(m) = -m**2 + m + 2. Let i be o(-2). Let z be (-2 - -17) + i + 2 + -2. Suppose -z*u + 43 = -12. Solve 2*x - 8 = 3*c + 3*x, 0 = -u*x + 20 for c.
-4
Let m = -31 - -28. Let h be (64/6)/((-2)/m). Suppose 0 = -3*p, -p + h = 4*f + 3*p. Solve y = f*o - y + 14, -2*y = -2 for o.
-3
Let g(l) = 3*l - 19 - 11 - 10. Let q be g(14). Let i = 11 + -9. Solve -m = 2, -q*h - m - 8 = i*m for h.
-1
Suppose t + 782 = z + 2*z, 5*t - 752 = -3*z. Let u = 263 - z. Solve -4*i = -w, -2*w + u = 2*i - 6*i for w.
4
Suppose -5*i + 485 = 475. Suppose -4*s + i*h = -2, 3*h + 4 = 2*s + 1. Solve -6 = -4*v + v + 5*l, s = 3*v - 4*l - 6 for v.
2
Let m(q) be the third derivative of q**5/60 + 17*q**4/24 - 3*q**3/2 + 113*q**2. Let t be m(-18). Solve o - 1 = 3*r - 2*r, -3*o + t = 0 for r.
2
Let g = -210 - -122. Let y = g - -92. Solve -4*t = -y*m - m + 6, 2*t = m for m.
2
Let n(q) = q**2 - 29*q + 33. Let b be n(28). Solve b*c + 11 = 5*z + 31, 5*z + 5*c = 0 for z.
-2
Let h(p) = p**2 - 17*p + 187. Let q be h(7). Let d = q + -115. Solve -2*m = -o, -3*o + d*o - 3*m + 10 = 0 for o.
4
Suppose 2*n + 15 = 5*n. Let c(r) = -3*r**3 + r**2 + 3*r + 1. Let u be c(-2). Suppose -n*v + u = -12. Solve 0 = p - 4, 3*z = 3*p - 2 - v for z.
1
Suppose 7*k - 2*k = 20. Let p(l) = l - 47. Let a be p(-6). Let q = a - -57. Solve -k = -5*f + 4*v, -v - 8 = f - q*v for f.
4
Let d = -75 - -73. Let o be (2 - ((2 - d) + -2))/(-2). Suppose 3*l - v - 16 = 0, 5*l + 5*v + 8 - 28 = o. Solve 2 = -3*c - 1, 5*g - l*c = 30 for g.
5
Suppose 5*o = c - 56, 5*c + 2*o - 253 = -216. Solve -5*t = 3*w - 21, -c*t + 6*t = -15 for w.
2
Suppose -5*a + 0*a + 10 = 0. Let b be -2*(85/15)/(2/3). Let l = b + 43. Solve -4*z = -9*z + a*q + l, q = -4*z + 13 for z.
4
Let n(z) = z**2 + 4. Let h be n(-5). Suppose 3*d = -12, -f - 3*d + h = -8*d. Let x be 88/(-55)*(-20)/8. Solve -y = -4*w - f, -x*y - 9 = -w - 0 for y.
-3
Let y be 1005*(12/5)/6. Suppose -7*m + 13*m + y = 0. Let n = -64 - m. Solve s - n*s - 4*i = -14, -4*i = -4 for s.
5
Let s = 151 + -91. Let k = s - 58. Let l(v) = -v + 1. Let w be l(-1). Solve -5*r + 3*c - 17 = 0, -w*c - k*c - 12 = 2*r for r.
-4
Suppose 1515 + 637 = -8*b. Let p = b + 274. Solve 0 = -z + 3*s - 6*s - 3, 4*s + 4 = -p*z for z.
0
Let n(h) = 19*h + 86. Let z(p) = 39*p + 171. Let w(s) = 9*n(s) - 4*z(s). Let v be w(-6). Solve -f + 2*j - 5*j - 14 = 0, v = -4*f + 2*j - 14 for f.
-5
Suppose 0 = 3*d + 4*r - 36, -3*d + 226 = -r + 175. Let b = 4 - 5. Let x = b - -3. Solve -4*f + n - d = -x*n, -2*n = -f - 9 for f.
-1
Let v be (-11)/((-22)/(-8)) + 2. Let a be (-3)/(-18)*v*(-13 - 5). Solve 2*w = -k, -4*w + 2*w = 4*k + a for w.
1
Let c(q) = -36*q**2 + q**3 + 20 + 77*q**2 - 36*q**2. Let d be c(-5). Suppose -33*x - d = -37*x. Solve 6 + 9 = u - 4*v, -5*v - 15 = -x*u for u.
-1
Let m = -33867 - -33888. Solve -t - 159 = -o - 156, -5*t = o + m for o.
-1
Suppose 0 = -2*q - 2*q, -2*j + 6 = -2*q. Let u be (-7 - j)*3/(-6). Suppose 4 = -4*v - 4, 10 = u*p - 5*v. Solve -5*m + 7 = -2*z - 2*m, p = 4*z - 3*m - 1 for z.
4
Suppose 0 = -a + 4*a - 96. Suppose c + a = 3*l, 0 = 2*c - 4*c + 2. Let w be l + -15 + (-4)/(-1). Solve 0 = -4*u + 5*g - w*g - 21, 6 = -u + 2*g for u.
-4
Let g = -28 - -54. Suppose -29*k + 6 = -g*k. Let a = -12 - -15. Solve -a*j = -k*r - 17, 3*j - 25 = 5*r - j for r.
-1
Let o = 90 - 74. Suppose 0 = 21*l - o*l - 35. Let d = 12 - l. Solve 3*m + 3 = 3*c, 3*c + d*m = 2*m + 9 for c.
2
Suppose -3*w + 4*w = 10. Suppose 0 = w*v - 9*v - 2. Let c = -675 + 679. Solve -5 = b - v*m + c*m, 4*b + 5 = -5*m for b.
5
Suppose 0 = 4*t - r - 17, -11*r + 5*r - 30 = 0. Solve -5*s - t*q - 4 = -0, -2 = -q for s.
-2
Let p be (-1168)/(-84) - 2/(-21). Suppose -4*j - p = z, -4*z + 7 = 3*j - 2. Solve g + z = 5*n, -4*g - 4*n = g - 28 for g.
4
Suppose 58*g = 90*g - 224. Solve -g = 12*n - 10*n + 5*t, 0 = 3*t + 9 for n.
4
Suppose -3*m + 2*b = -4, -3*m + 0*m - 5*b = -11. Solve 2*t - p - 6 = -0, 3*p = -m*t + 22 for t.
5
Let c(z) = 3 - 2*z**2 + 12*z - 20 - 28 + 3*z**2 + 37*z. Let f be c(-50). Solve -f*t + 5*l - 4*l = 17, 4*t + 14 = l for t.
-3
Let t be -2 + (18 - -2) + 4. Let h = t - 20. Suppose 0 = 4*n, 5*s - h*n = s + 68. Solve -2 = 2*f - 2*g, f + 5*g = -0*g + s for f.
2
Suppose -3*i - 3*w - 1 = -2*i, -5*i + 5*w - 65 = 0. Let h be i/5 + 10/2. Let a = 463 + -463. Solve 0 = u - 3*c, a = u + h*c - 0*c for u.
0
Suppose -2*s + n - 7 - 13 = 0, -n = -3*s - 30. Let z = s - -15. Suppose 0*l - 2*l + 4*d + 48 = 0, l - 5*d = 33. Solve l - 3 = z*k + 5*p, k = 5*p - 15 for k.
0
Let k = 56 - 23. Suppose -k*s - 4 = -35*s. Solve 3*a = 3*q + s - 5, 0 = 3*a + 3*q - 27 for a.
4
Let u be 4/(-1*1 + 21/63*7). Let i(c) = -c - 1. Let f be i(-10). Solve -2*k + u*q = -7*k - 24, -5*q = -2*k + f for k.
-3
Suppose -4*n = 32*a - 33*a - 7, -n + 3*a - 1 = 0. Solve -17*i + 18 = 2*v - 18*i, 5*v = n*i + 41 for v.
5
Suppose 3*q + 2*q + 20 = -2*n, 20 = 3*n - 5*q. Solve -3*b - 3*y + 0*y + 15 = n, -4 = -2*b + 4*y for b.
4
Let n(q) = -4*q**2 - 46*q + 34. Let c be n(-12). Suppose -9*a + 37 = c. Solve -10*m + 8*m + a*h = -19, m = -3*h - 13 for m.
2
Let c be ((-6)/(-4))/(1*5/30). Suppose c*x + 2*x = 2*x. Solve x*q + 4*d + 23 = 3*q, 2*d + 24 = 4*q for q.
5
Let g(x) = x**3 + 9*x**2 - 11*x - 2. Suppose -v = 2*v + 30. Let n be g(v). Solve -8*k - 23 = -p - 4*k, 4*k + n = -4*p for p.
3
Let f = 3420 - 3415. Let t be ((-3)/(-2))/(9/18). Solve -4*a + f = 3*d, 3*d - a = -t - 2 for d.
-1
Suppose 5*y - 50 = -5*r, -3*r + y + 54 = -4*y. Let n be 2/(-8) - (1906/(-8) - -3). Let o = 247 - n. Solve 4*b - o = -4*x, 4*x = 3*x - 3*b + r for x.
-2
Let o be (-418)/(-28) - -6*8/672. Solve 5*c = -o, -2*c - 102 = 5*p - 106 for p.
2
Suppose -53 = -2*m + 6*l - l, 2*m = l + 49. Suppose 0 = -m*o + 16*o + 16. Solve -v - 8 = -4*r, 0 = -2*v - 0*r - o*r + 4 for v.
0
Let s(d) = -d**2 - 26*d - 120. Let a be s(-8). Let p be (-1)/(30/a)*(-15)/6. Solve j - p*z = z + 16, 0 = 2*j + 3*z + 13 for j.
1
Let l(q) = -q**2 + 8*q + 9. Let n be l(9). Suppose -12*i + 9 = -3. Let x = 37 - 11. Solve n = 5*m + 2*d + x, -2 = d + i for m.
-4
Suppose a + 5 = - | {
"pile_set_name": "DM Mathematics"
} |
0
Let v(j) = -3*j**3 - 3*j**2 + 12*j + 73. What is the units digit of v(-9)?
9
Suppose 2*f + 121 = i, 18 + 40 = -f + 3*i. Let h(r) = 90*r + 1. Let k be h(1). Let d = f + k. What is the units digit of d?
0
Let y(m) = m**3 + 6*m**2 + 5*m + 5. Let l be y(-5). Suppose -4 = -l*o + 4*o. What is the units digit of o?
4
Let b(k) = 3*k**2 - 12*k - 21. Let f be 3/(-9) - 84/(-9). What is the units digit of b(f)?
4
Suppose -f + 2*j = j - 47, 4*f + 4*j = 148. Let n(i) = 5*i + 6. Let u be n(-6). Let m = u + f. What is the tens digit of m?
1
Let h be (-5)/(-25) + (-1)/5. Suppose -368 = -4*k - 2*w, 143 = 3*k - 4*w - 144. Suppose h = 3*j - k + 24. What is the units digit of j?
3
What is the hundreds digit of ((-7 + -3211)*1)/(0 - 2)?
6
Let c(b) = -b**3 + 3*b**2 + b + 8. Let f be c(4). Let t be f*(21/(-6) + -2). Suppose 3*v - 17 - t = 0. What is the tens digit of v?
1
Let y(s) = 3*s - 2. Let z be y(2). What is the tens digit of 3/(3/z) + 43?
4
Suppose 3*k + 4900 + 3286 = 2*m, 0 = -5*m - 2*k + 20465. What is the units digit of m?
3
Let w be (-4)/(-18) + (-346)/18. Let f = w + 63. Suppose -7*p + 5*p + f = 0. What is the tens digit of p?
2
Suppose -62141 = 33*t - 225095. What is the units digit of t?
8
Let a(r) = -16 + 7 + 5 + 3*r. Let t be a(-6). Let u = t - -30. What is the units digit of u?
8
Let n(g) = 135*g + 36. What is the units digit of n(2)?
6
Suppose -13*d + 6770 = -19646. What is the tens digit of d?
3
What is the units digit of (12/(-14))/((-99)/924)?
8
Let z(t) = -t**3 + 7*t**2 - 4*t + 1. Suppose 3 = -o - 2*o. Let y be 32/(o - -5) + -3. What is the tens digit of z(y)?
3
Let g(h) be the third derivative of -95*h**4/12 - h**3/3 + 32*h**2. What is the tens digit of g(-1)?
8
Suppose -3*t + 17 = 2*p - 22, -4*t = 4*p - 56. Suppose t*y = 1524 - 391. What is the tens digit of y?
0
What is the thousands digit of (-18670)/(-13) - (-214)/(-1391)?
1
Let r(l) = 3*l**2 + 18*l + 26. What is the hundreds digit of r(12)?
6
Suppose -g - g = -84. Suppose 44 + g = b. What is the tens digit of b?
8
Suppose 3*q - 3613 = -5*k, -2*k - 3611 = -7*k - q. What is the units digit of k?
2
Suppose 107 - 2105 = -2*q + 2*f, 3*q - 2987 = -2*f. What is the hundreds digit of q?
9
What is the units digit of (-374)/(-2) - (22 - 25)?
0
Let c(f) = f + 59. What is the tens digit of c(0)?
5
Let y be 3 + (-6)/(-18) + (-4)/(-6). Suppose y*l - 118 - 42 = 0. What is the tens digit of l?
4
Let g = 188 + -99. Suppose -b = -o - 6*b + g, -3*o - 2*b = -280. What is the units digit of o?
4
Let v(z) = -4*z - 6. Let a(t) = -1. Let k(s) = -4*a(s) + 2*v(s). What is the tens digit of k(-3)?
1
Let l = 19 - 16. Suppose 4*o + 48 = l*s, 8*o - 15 = 3*o. What is the tens digit of (3 + (-68)/s)*-65?
2
Let u be -2*2 - (15 - 120). Suppose 5*s - 22 = 3*i + u, -i + 4 = 0. What is the units digit of s?
7
Let w(c) = -c + 1. Let a(x) = -6*x - 4. Let o(t) = 3*a(t) + 3*w(t). What is the tens digit of o(-5)?
9
Suppose 1166 = 3*x + 7*a - 5*a, -x + 2*a + 402 = 0. What is the hundreds digit of x?
3
Let b = -650 + 995. What is the hundreds digit of b?
3
Suppose 131*j = 133*j - 2, n + 4*j - 3272 = 0. What is the tens digit of n?
6
Suppose -77*b = -63*b - 23240. What is the thousands digit of b?
1
Let w = 169 + 671. Suppose 0 = -11*x + 3*x + w. What is the tens digit of x?
0
Suppose -15*b + 32 = b. What is the units digit of b?
2
Suppose 4*h - 3 = 3*h. Suppose -157 = -h*r - 4*g, r + 2*g = -0*r + 53. What is the tens digit of r?
5
Let m be 2/5*(-5 + 0). Let s(l) = -5*l**2 + l + 2. Let n(a) = 4*a**2 - a - 2. Let q(u) = -6*n(u) - 5*s(u). What is the units digit of q(m)?
4
Suppose 4*t - 1485 = 275. What is the hundreds digit of t?
4
Let j be 5/((-15)/(-36)) - 3. Suppose -j*s + 5 + 13 = 0. Suppose s*b - b + 2*p = 52, -4*b + 252 = -3*p. What is the tens digit of b?
6
Let b be ((-2)/(2 - 0))/(-1). Let i be (-11 - 1) + (2 - b). Let p = 4 - i. What is the units digit of p?
5
Suppose -9*r = -0*r - 288. Suppose 0 = -14*m + 354 - r. What is the tens digit of m?
2
Let i(k) = -k**3 + 16*k**2 + k - 18. Let u be i(16). Let c(j) = -38*j - 10. What is the units digit of c(u)?
6
Let a be 1 + 2 + 2 + -1. Suppose 0 = -3*t + w + 5, -a*t - 7 = -6*t - 3*w. What is the units digit of t?
2
Let y(d) = -23*d**3 - d**2 - 2*d - 1. Suppose 2 - 8 = 3*c. Let h = -3 - c. What is the tens digit of y(h)?
2
Suppose -f - 48 = -2*c, 4*c + 2*f - 5*f - 96 = 0. Suppose 5*h + 0*h = 255. Let g = h - c. What is the units digit of g?
7
Let c(d) = 2727*d**2 + 2*d - 2. What is the units digit of c(1)?
7
Let v = 822 - 392. What is the units digit of v?
0
Suppose 4*x + 5*b + 1 = 6*b, b - 1 = 3*x. Suppose -y + 5 = -x*y. Suppose t - y*t = -96. What is the units digit of t?
4
Let z = -32 + 101. Let v = z - 46. Suppose -l + 0*l + f + v = 0, 50 = 2*l + 2*f. What is the units digit of l?
4
Let m(w) = 3*w**2 - 2 - w + w**3 + 0 + 4*w**2 + 0*w**3. Let y be m(-7). Suppose y*f + c - 299 = 0, -3*f + c + 181 = 2*c. What is the units digit of f?
9
Let q(o) = -o**2 + 10*o + 3. Let h be q(9). Let g = h + 13. What is the units digit of g?
5
Let g = 48 + -43. Let y be 4 - 0*3/9. Suppose 0 = y*q - 115 - g. What is the units digit of q?
0
Suppose 35242 + 22388 = 34*y. What is the units digit of y?
5
Let h be -3 - (-1)/(2/14). Let y = h + -8. What is the tens digit of (272/6)/y*-3?
3
Suppose 15 = l + 4*l, -2 = -b + l. Suppose 14 - 39 = -b*k. Suppose 0 = -5*d - 4*w + 43 + 330, 0 = -3*d + k*w + 246. What is the tens digit of d?
7
Let g = 60 + -56. What is the tens digit of 16/(-6)*(g + (-21 - -2))?
4
Let d be 0*(7/6 - 3/2). Suppose -2*b + 564 = -d*b + 3*l, 0 = -4*b - l + 1128. What is the hundreds digit of b?
2
Let r be (-681 - 1)/(-1) + 2. Suppose 5*p = 11*p - r. What is the units digit of p?
4
Let t = 670 - 943. What is the tens digit of (-2)/(1*6/t)?
9
Suppose 6*h - 2*h = -36. Suppose 4*v = 6*v + 6. What is the units digit of 53 - (v + (-3 - h))?
0
Let u(c) = 122*c - 855. What is the tens digit of u(28)?
6
Let j(l) = -46*l + 627. What is the thousands digit of j(-39)?
2
Let j(u) = u**3 - 6*u**2 + 50*u - 1. What is the hundreds digit of j(7)?
3
Let r(j) = j + 9. Let n = 13 + -6. Suppose -3*u + 2*b + n = -24, 2*b + 20 = 2*u. What is the tens digit of r(u)?
2
Let f = 4783 + -2695. What is the thousands digit of f?
2
Let d(a) = -3*a**3 + 3*a**2 + 8*a + 4. What is the tens digit of d(-4)?
1
Suppose 0 = -x - 27 + 67. Let s = x + 4. What is the tens digit of s?
4
Suppose -5*s + 35 = -3*j, 53 = -4*j + 5*s + 13. Let g = 45 - j. Let q = g - 25. What is the tens digit of q?
2
Suppose -17*s + 14*s = -45. What is the tens digit of s*2/4*(29 - 21)?
6
Suppose -6*l = 5*q - l - 45, 0 = q + 3*l - 17. Let t be ((-66)/q)/(4/(-10)). Suppose 2*w - t - 11 = 0. What is the units digit of w?
2
Let j = 4044 + -1993. What is the tens digit of j?
5
Suppose -14*t + 1939 = -1449. Suppose 4*k - 650 + t = 0. What is the hundreds digit of k?
1
Let b(m) = 220*m - 5. What is the hundreds digit of b(1)?
2
Let c(i) = -i + 1. Let r be c(-10). Let w = r - -8. What is the units digit of w?
9
Suppose 4 - 20 = -4*p. Let m be (-21)/(-14) + 6/p. Suppose 3*l + q - m - 100 = 0, -3*q + 105 = 3*l. What is the tens digit of l?
3
Let v(n) = -n + 193. Suppose 3*x = -2*k - 8, x - 4*k + k = 12. What is the hundreds digit of v(x)?
1
Let x(d) = 5*d**2 - 3*d + 1. What is the units digit of x(-6)?
9
Suppose -16*t + 8196 + 20268 = 0. What is the units digit of t?
9
Suppose 2*a = 3*i, 0 = -2*a + 2*i - 2 + 4. Suppose -4*q + 388 = -a*h, 9*q = 4*q + h + 485. What is the units digit of q?
7
Let k(m) = -3*m. Let i be k(-1). Suppose -i*f + 72 = -2*f. Suppose 56 = d + 3*d - 2*l, -2*l + f = 4*d. What is the tens digit of d?
1
What is the units digit of 1 - -9 - 6 - (-5108)/4?
1
Suppose 50 = -4*v + 10. What is the units digit of 1/v*-294 + (-2)/5?
9
Let k(z) be the second derivative of z**3/6 + 14*z. Let v be k(3). Suppose -w + 3*x + 54 = -x, 0 = -v*w - 5*x + 162. What is the tens digit of w?
5
Let x = 118 - 201. Let n = x + 107. What is the units digit of n?
4
Let d(q) = 4*q + 11. Let r be d(-6). Let c(k) = k**3 + 15*k**2 + 14*k - 15. What is the tens digit of c(r)?
4
Suppose -4*p + 52 = 5*y - 4, -4*p = -2*y. Let o(q) = q**3 - 7*q**2 - 8*q + 7. Let m be o(y). Let n = m - 6. What is the units digit of n?
1
Let o(j) = 7*j**2 - 4*j - 11. Let q be o(-2). Suppose | {
"pile_set_name": "DM Mathematics"
} |
o = 1 + 8. Solve -4*w + z = -7, r = 3*z + o - 24 for w.
3
Let y be -1 + 4 + 0/(-2). Suppose -u + 6 - y = 0. Solve o + 3*o = -q - 15, -2*o - 5 = u*q for q.
1
Let v = 7 - 7. Suppose 3*p - 2*s = 4*p - 12, 5*p - 2*s = v. Solve -6 = 4*g - 2*o, -p*o = 5*g - 4*o + 6 for g.
0
Let z(a) be the second derivative of 0 - 1/2*a**2 + 2*a + 1/6*a**3. Let n be z(5). Solve 0 = -f, -2*f - n = -4*m + 2*f for m.
1
Let n be 290/(-232)*(-3 + (-2 - -1)). Solve h - n*d = -4, -h + 0*d + 4*d = 3 for h.
1
Let p = -8 + 5. Let b be p*1 + -11 + 14. Solve 2*s + 5*f - 29 = b, 0 = 4*s - f - 3 for s.
2
Let r be 6/4*4/3. Suppose 37 = -o + 4*o + 4*x, 0 = -3*o + r*x + 31. Let u(a) = a + 1. Let t be u(2). Solve t*s + 7 = -3*q - 8, 0 = -4*q + 5*s - o for q.
-4
Let k be (-2)/4*24/(-4). Solve 0 = -2*d + 3*v + 9, -4*d = -k*d - 2*v - 5 for d.
3
Let k(j) = j - 10. Let l be k(5). Let r be (4/(-10))/(l/25). Suppose -z + 1 + 1 = 0. Solve 4*y + 4 = -v, -r*v + y = -z*y + 8 for v.
-4
Suppose -3*g + 3 = -27. Solve -c - 3*h = -g, c - 2*h + 2 + 3 = 0 for c.
1
Let b be (-1)/(86/(-84) - -1). Suppose y - b = -2*y. Solve 3*u - y = -5*v, -3*v + 8 = -4*u - 12 for u.
-2
Suppose 1 = -b - 3*w, 0 = -3*b - 2*b - 5*w - 5. Let d be (-1)/(b - 12/(-15)). Solve -s + 11 = -d*n - 2, 4*s = -5*n + 2 for n.
-2
Let y = -4 - -9. Solve 7 = -a + y*k - 17, -16 = -4*k for a.
-4
Let x = 53 + -37. Solve 5*l + 3*y + y + x = 0, -12 = 3*y for l.
0
Let c(m) = -m + 1. Let r be c(-4). Suppose -3*j - p + 2 = 0, -2*p + p = -2*j + 3. Let g = 5 - j. Solve 5*k - g*f = -2*f, 0 = 5*k - r*f for k.
0
Suppose -3*d - 2*k + 20 = 4, -4*k + 18 = -d. Suppose d*j = 19 - 3. Solve 2*z = 0, 2 = 2*q + 2*z - j for q.
5
Let d(c) = -3*c - 1. Let h(o) = 8*o + 2. Let q(s) = 17*d(s) + 6*h(s). Let l be q(-5). Let t = l - 7. Solve 0 = p + t*y + 5, -3*p + y = 2 + 3 for p.
-2
Let g be 2/(-3) + (-17)/(-3). Let u be (-3)/g*(-1 - 4). Solve -3*o - 5 = 5*s, 4*s + 0*s + o = u for s.
2
Suppose 5 = 3*d - 25. Suppose d - 34 = -4*h. Suppose 3*f - 9 - h = 0. Solve -4*c - q = 3, -f*c + 5*q - 8 = 2 for c.
-1
Let u(t) = t + 2. Let v be u(4). Let y be (3/v)/((-1)/(-8)). Solve 5*n + 27 = y*d, -5*n - 4*d = 5 - 2 for n.
-3
Let j be ((-12)/(-8))/(6/16). Solve -2*c - 3*t = 10, j*t = -4*c + 8*t for c.
-2
Suppose 27 = -21*v + 30*v. Let n = 11 + 1. Suppose 0 = -2*s - 2*s + n. Solve -2*h + s*h - 16 = -4*x, -v*x - 3*h + 12 = 0 for x.
4
Suppose -3*a = 4*u - 54, 0*a + 2*a + 5*u = 43. Solve a = 4*t + n, -n = t - 6*t + 13 for t.
3
Let p(d) = d**3 + d**2 + d. Let i(o) = -6*o**3 - 10*o + 2. Let h(v) = -i(v) - 5*p(v). Let z be h(4). Solve 4*u + 2*k = -26, z*k = -u - 13 - 1 for u.
-4
Suppose -10 = -s - 4*s. Suppose -s*x - x = -18. Solve -b = -5*k - x*b, -2*k - 2 = 3*b for k.
2
Suppose 2 - 8 = -2*z. Let c(a) = -2 - a + 5 + 1. Let h be c(4). Solve 4*q = 2*u - 12, 4*q + h = -z*u - 12 for q.
-3
Suppose 0*m + 3*m + 18 = 0. Let z(q) = q**3 + 5*q**2 - 7*q + 4. Let i be z(m). Solve -i = p + 3*s, 3*s = 3*p - 0*s - 30 for p.
5
Let z = 23 - 14. Let n = z + -7. Let w(o) = o**3 + 4*o**2 + 4*o + 4. Let c be w(-3). Solve 0*l = -3*m - 2*l - c, n*m = 4*l - 6 for m.
-1
Suppose 0 = -3*f + 3*a + 198, 0*a + 2*a - 2 = 0. Suppose 4*k + 3 - f = 0. Solve -4*t = -k, -2*r - 2*t = 6 - 22 for r.
4
Let c(r) be the second derivative of r**5/5 + r**4/6 - r**3/3 + r**2/2 + r. Let v be c(1). Solve -2*g - 8 = -3*a - 0*g, g + 18 = v*a for a.
4
Let n be (4/10)/((-1)/(-5)). Solve -5*d + 2 = -2*i, -n*d - i + 0*i = -8 for d.
2
Suppose 4*q = 4, -i = -0*q + q - 3. Solve a = -2*d - 12, -4*a = i*d - 4*d - 2 for a.
-2
Suppose -7 = -5*r + 18. Let m = r - 1. Solve 2*k + 2*k + m*i = 4, 5*k = 3*i + 13 for k.
2
Suppose -x + 4*b = 14, 4*x + b + 20 = -2. Let o = -3 - x. Solve 5*s + 2 = -3*w, 5*w + 2*s = -0*s + o for w.
1
Let i be 4 + ((-9)/(-3))/1. Suppose 4*q + 16 = 4*k, -i*k + 2*k = 5*q - 20. Solve 0 = k*l - 0*h + 3*h - 1, h + 4 = 3*l for l.
1
Let r = 6 + 2. Solve 5*u - 30 = r*y - 3*y, -4*y - 14 = u for y.
-4
Let s be (-25)/(-10) - ((-2)/4 - -1). Solve 0 = -3*u, 3*o + 15 = -0*o + s*u for o.
-5
Let s be ((-16)/(-3))/((-20)/(-30)). Solve -5*p + s = h + 2*h, -p = h for h.
-4
Let u = -3 - -5. Solve q - 12 = -3*q, 5 = h + u*q for h.
-1
Let u be (-8)/(-10) + 60/(-75). Solve -15 = -5*a - c, 3*a + u*c - 4*c - 9 = 0 for a.
3
Let j = 0 + 1. Let l be (6/(-4) + j)*-42. Suppose -3*p = 9 - l. Solve 0 = -5*t - 15, -37 = 5*d + p*t for d.
-5
Let q = 1 + 1. Suppose q*s = -8 + 12. Solve 7 + s = -4*x - y, 5*y = x + 18 for x.
-3
Let n be (-3)/6*-4 - -50. Let m be (n/(-4) + 1)/(-2). Solve -5*v - 2 = -4*c - m, v - 24 = -5*c for v.
4
Suppose 4*h - 6 - 26 = 0. Let f be (21/14)/(3/h). Let a = 2 - -2. Solve -f*m = -2*i - 12, -4*i - 3 = -3*m - a for m.
5
Suppose 3*h + 3*x - 54 = -0*h, 4*h - x = 47. Solve 0 = -4*a + 2*r - 8, -3*a - 2*r + 7*r = h for a.
-1
Let v(y) = 3*y - 1. Suppose -12*q + 8 = -8*q. Let r be v(q). Solve 19 = 2*c + 3*c - 3*k, 29 = r*c + 2*k for c.
5
Suppose 1 + 1 = y. Let o be (-1)/(y/4) - -10. Let l = -3 + o. Solve 0 = -2*r - 0*r + 2*d - 6, -2*d = -l*r for r.
2
Let y(v) = 3*v - 2. Let q be y(2). Suppose -5*s + q + 6 = 0. Suppose -s*a + a = -4. Solve -f = 0, a*j = -6*f + 3*f + 4 for j.
1
Let b be (2 - 3) + (3 - 0). Solve 2*u - b*y = 12, 7 + 1 = -4*u - 4*y for u.
2
Suppose -2*l + 5*l = 4*r - 108, l - 4*r + 28 = 0. Let i be 44/10 + 16/l. Solve 4*v - 24 = -i*a + 6*a, -2*a - 2*v = -6 for a.
-2
Let r = -28 + 20. Let t = -3 - r. Let w be ((-3)/t)/((-1)/5). Solve -2*c - 5*i + 1 = c, 0 = -w*i - 3 for c.
2
Suppose -l = 4*l. Solve 4*q - 2*t + 10 = l, -4*t + 2*t = -2*q for q.
-5
Suppose 0 = 2*j - 10, 3*n = 3*j - 4 + 1. Let x be (0 - 0)/(5 - 3). Solve 3*g + 15 = -v, -n*v - 3*g = -x*g + 24 for v.
-3
Let b = 9 + 2. Let d = -7 + b. Solve 2*s + 4*q + 16 = 0, -d*s - 25 = 3*q - 8 for s.
-2
Let x be (-2)/4 + 13/2. Suppose -3*r = -x*r + 57. Let w be (-4 - 5)*1/(-3). Solve -4*u = 5*v + r, 3*v + w*u - 4*u + 8 = 0 for v.
-3
Let o = -26 + 28. Solve -5*j - y = 7, o*j - 3*y + 2*y = 0 for j.
-1
Suppose -5*k + 0*k - i + 4 = 0, -2*i = 3*k - 8. Let d be -5 - (k - 2) - -1. Let q be (9/6 + -2)*d. Solve g = 3*x + q, -3*x - x = 0 for g.
1
Let z = 12 + -7. Suppose 4*x + x + 5 = 0, -3*x + 362 = z*r. Suppose 5*v + 28 = r. Solve -3*d + d + 5 = -3*i, 5*i + d = v for i.
1
Let v be -2 - (-2 + 2 + 1). Let k(i) = i**3 + 4*i**2 + 4*i + 4. Let n be k(v). Let a = n - -2. Solve -8*d = 3*y - 3*d + 11, -3*d + a = -3*y for y.
-2
Let n(r) = -r**3 + r. Let v be n(1). Let o be -2*1 + 8 + v. Let s be (-20)/o*12/(-10). Solve -2*j + 2*q = -s*j + 2, -2*j - 4 = 4*q for j.
4
Suppose 4*v - 3*u = 2, -v + 4*v - 8 = -u. Solve f - v*b = 8, 2*f + 0*b = 2*b + 8 for f.
0
Let s(h) = 4*h**2 + h + 1. Let d be s(-1). Suppose d*u - 3*q - 2*q = 25, -u + q = -6. Solve 0 = -3*f - j - 13, -u*f - 4*j = 31 for f.
-3
Suppose 16 + 9 = -5*f + b, f - 4*b = -24. Let p be 6 - 2/f*0. Let y be (6/(-2))/1 + p. Solve 2*x = 3*i - 11, 4*i = -x + y*x + 12 for i.
1
Let b = 7 + -5. Suppose -8 = -c - b. Solve -j - 22 = -c*a + 2*a, 3*a + 2*j - 11 = 0 for a.
5
Let b(h) = 2*h - h + h - 2 + 3. Let m be b(1). Solve 3*t + t - w + m = 0, 28 = -4*t - 4*w for t.
-2
Suppose 0 = 111*j - 112*j. Solve j = 5*z + n - 2*n + 26, -n = z + 4 for z.
-5
Let m be (1 - -1)/(2/15). Let z = m - 12. Solve 9 = -2*p - 0*p - 3*f, -5*p - f - z = 0 for p.
0
Let s = 4 + -2. Solve -3*b + 0*v = v + 7, s*b - 2*v = -10 for b.
-3
Let c(b) = b**2 - 1. Let o(p) = 2*p**2 + 6*p - 1. Let d(t) = -3*c(t) + o(t). Let r be d(6). Solve 5*y + r = -5*i - 3, 4*i - 3*y = 17 for i.
2
Let l be 2*(7/2 + -3). Let t be ((-3)/(-2))/(l/2). Solve 0 = t*n, -4*n = g - 4 - 1 for g.
5
Let w = -4 + 9. Let g be (-14 - -2)*3/(-9). Solve -4*m - h + 7 = g*h, 0 = -m + h - w for m.
-2
Let s be (0 - -6) + 2*-1. Suppose -4*c - 5*a + 12 = -16, 0 = s*c - a - 4. Let m = -43 + 63. Solve -2*r = 3*q + c*q + 8, -5*q + m = -5*r for q.
0
Suppose -4 = -2*f - 4*g, 2*f + 1 = 2*g - 1. Suppose -p - 1 = -2*z - 2*p, 5*z = 3*p + 8. Let m = 6 - z. Solve -m*c - 2*y = -28, f*y - 4 = -3*c + 2*y for c.
4
Suppose -2 = -3*z + 4*j - 22, -15 = 5*z - 3*j. Suppose z = 4*y - 0*y. Suppose -q = -y*q. Solve q = -5*p + 5*r + 5, 5*p - 2*r + 4 = 0 for p.
-2
Let x = -81 + 85. Solve -x*q - 20 = 0, 5*q + 15 = -3*u - 10 for u.
0
Let h = -7 + 12. Suppose a + 11 = p, 4*p - h - 7 = 0. Let w be 2/a - (-51)/12. Solve 0*q + 5*q = -4*z - 17, -5*q - 33 = -w | {
"pile_set_name": "DM Mathematics"
} |
1.2
12 * -205.1762
-2462.1144
38954 times 153
5959962
Product of 3970.4 and -0.25.
-992.6
0.981 * 15059
14772.879
11.5017*37
425.5629
-1 times 73355.4
-73355.4
97.0731*-1.71
-165.995001
-3 times 0.1888823
-0.5666469
What is -0.51 times -29863.2?
15230.232
-1093588*134
-146540792
3860*-32160
-124137600
-93496 * -139.9
13080090.4
What is -13 times 1729064.3?
-22477835.9
Work out 15 * -658.4638.
-9876.957
426296*136
57976256
Multiply 238375801 and -1.
-238375801
What is the product of 1 and 28692527?
28692527
What is the product of -0.3 and -11593224?
3477967.2
Product of 18334410 and 0.07.
1283408.7
What is the product of -352.758107 and -0.2?
70.5516214
-1.1668*-2651
3093.1868
Calculate 3014.2*324.
976600.8
Work out -0.04 * -5805.878.
232.23512
882.5 times -7359
-6494317.5
Multiply -1.16493 and -0.0429.
0.049975497
Product of -103 and -114.141.
11756.523
What is the product of 0.02 and 950.25109?
19.0050218
What is 0.12 times 1014657?
121758.84
What is 5717 times 113.55?
649165.35
Multiply -41 and 5719996.
-234519836
-276490 times -177
48938730
Work out 0.066035 * -22.
-1.45277
Product of 166.35 and -0.1342.
-22.32417
1199964*-39.1
-46918592.4
0.1*90.8493
9.08493
-135.77*-0.01076
1.4608852
Multiply 1 and -2275501.78.
-2275501.78
Work out -12705718 * 0.1.
-1270571.8
Multiply -9.94 and 6692.
-66518.48
What is the product of 2777 and -41162?
-114306874
Multiply 4400 and -0.01418.
-62.392
Product of -25058 and 5737.
-143757746
Multiply -13 and 25140107.
-326821391
-36189.4 times -32
1158060.8
238989*-0.157
-37521.273
Calculate 0.154729*-1995.
-308.684355
11 times -120093
-1321023
Calculate 0*0.05242965.
0
Multiply 2 and -11.982702.
-23.965404
Work out 689 * 0.04725.
32.55525
Product of -0.5 and -73744190.
36872095
Calculate -11*0.0041663.
-0.0458293
26197.62*-0.3
-7859.286
Calculate -0.483*-27089.
13083.987
What is the product of 0.197 and -285.7?
-56.2829
Calculate 33*26699038.
881068254
Work out -34 * 4.260643.
-144.861862
What is the product of -147.080147 and -6?
882.480882
-1464*52216
-76444224
What is the product of -648856 and -26?
16870256
Calculate 7803*1212.
9457236
-437 times 0.02451
-10.71087
Work out 0 * 201554167.
0
-37042 times -2277
84344634
Product of 162.011 and -30.
-4860.33
Product of -0.4 and -7757828.
3103131.2
Product of 0.48934 and 14.3.
6.997562
-0.1481 * -688061
101901.8341
Multiply -11.6 and 0.015475.
-0.17951
-4.5 times 695687
-3130591.5
Multiply -3940 and 11.9.
-46886
What is the product of -0.339 and -741.945?
251.519355
What is -126.29 times 0.03266?
-4.1246314
Calculate -92*915767.
-84250564
9769 times -6
-58614
-0.013258*-206
2.731148
-38898 times 3.5
-136143
206341 times 2.5
515852.5
What is the product of 1.4 and -22999883?
-32199836.2
-0.1 * -426591.57
42659.157
Multiply -3 and -2498.713.
7496.139
Product of -4.51 and 8267.
-37284.17
Multiply -0.3 and -10156873.
3047061.9
Work out 42849.1 * -0.1.
-4284.91
Multiply 794 and 97802.
77654788
383410*531
203590710
Product of -2 and 0.18484529.
-0.36969058
Product of -2 and 28593639.
-57187278
Calculate 550194*-21.
-11554074
Multiply -526871 and -3368.
1774501528
What is -0.4542 times 443.9?
-201.61938
Product of 0.9 and 109312494.
98381244.6
1.719865 * -74
-127.27001
Work out -0.8673 * -179.
155.2467
852 * 1.708
1455.216
Multiply 3.33 and 2990.81.
9959.3973
Multiply 0.5 and -6438.46.
-3219.23
-42365.46 * 0.1
-4236.546
Multiply 3 and -11143426.
-33430278
What is 1 times -1.76686?
-1.76686
Product of -1427929 and 30.9.
-44123006.1
-3.1544 times 10710
-33783.624
-69595 * 77
-5358815
Calculate 103.671*-3.4.
-352.4814
Multiply -3 and 330031.3.
-990093.9
What is -4 times 176.46929?
-705.87716
Multiply 1 and 7794.2.
7794.2
What is -23367754 times 0.5?
-11683877
12.39*-16675
-206603.25
Calculate -235671*0.966.
-227658.186
Multiply 280456 and 0.01.
2804.56
Product of -7 and -0.33479606.
2.34357242
-810651099*-2
1621302198
1.6565 * -62883
-104165.6895
-150 times 1140
-171000
Multiply 0 and 77.962235.
0
-662665 * -3
1987995
-130.848 times -154
20150.592
What is 14.999 times 0.631?
9.464369
Calculate -5.2*4634436.
-24099067.2
What is -0.02011 times -14.8?
0.297628
-21.676*101
-2189.276
Work out 59 * 6838937.
403497283
1 * 53183162
53183162
Product of -0.456 and 994.8.
-453.6288
What is 180.019 times 688?
123853.072
Multiply -3066.69 and -0.215.
659.33835
Work out -0.60912959 * 14.
-8.52781426
What is the product of -0.059528 and 1.83?
-0.10893624
What is the product of -11197 and -65696?
735598112
-417438*-129
53849502
What is -15138.7118 times -0.5?
7569.3559
Multiply 19705 and -77.7.
-1531078.5
Multiply -677 and 1209394.
-818759738
0.117833*0.05
0.00589165
What is -139269.32 times -16?
2228309.12
0.0358 * 1.9199
0.06873242
Work out -0.384088 * 63.
-24.197544
-41.3 times -1949202
80502042.6
What is the product of 2 and -2974552?
-5949104
Calculate 98810987*-7.
-691676909
2.4053*-17761
-42720.5333
What is the product of -14939.913 and -0.03?
448.19739
Multiply 895 and 348.7.
312086.5
What is 229260 times 43.8?
10041588
What is 4391.2 times -8.3?
-36446.96
Work out -0.023 * -254289.
5848.647
3.5911648*0.1
0.35911648
-104.5 * 8308
-868186
2390*1782
4258980
Multiply -561332 and -0.497.
278982.004
Work out 0.9 * 18.132564.
16.3193076
-1.4505*0.5944
-0.8621772
Product of 0.1 and -13433698.
-1343369.8
What is the product of 12780 and -17886?
-228583080
51763331*0.2
10352666.2
Multiply 39421 and -3414.
-134583294
Multiply 136051.475 and -0.3.
-40815.4425
-0.2 times -36638635
7327727
2*-18616
-37232
Work out -938.627 * 4.
-3754.508
Multiply 1423.04 and -71.
-101035.84
Calculate 0.03168353*-4.
-0.12673412
Calculate -638725.5*51.
-32575000.5
-3575.1 times 64.3
-229878.93
1638414.1 * 0.1
163841.41
94.78047 times -4
-379.12188
10799626*0
0
-350123291 * 0.5
-175061645.5
Work out -61.54607 * -3.
184.63821
What is the product of -39.715 and 0.364?
-14.45626
0.2 * -278846.91
-55769.382
What is -0.5985 times 356?
-213.066
-11720.1*-984
11532578.4
What is the product of -2386 and 35.608?
-84960.688
-0.051477221 times 0.1
-0.0051477221
-0.017*-3112369
52910.273
Multiply -1779 and -0.1619.
288.0201
2637678 times 45
118695510
2.1830688 times 5.7
12.44349216
What is the product of -11 and 0.0421908?
-0.4640988
Product of 29.45406 and 266.
7834.77996
What is the product of 0.8509 and 18872?
16058.1848
-491.4 times 5592
-2747908.8
-132*638214
-84244248
35691 * 25.5
910120.5
0.6165 * 19.15
11.805975
0.1797 * 0.1936
0.03478992
Work out 0.007 * -755.77.
-5.29039
-8 times 24300894
-194407152
-27967 times 884
-24722828
Calculate -1723018*9.
-15507162
2339*5813
13596607
Multiply -0.924 and -0.510036.
0.471273264
What is 1.1587301 times -25?
-28.9682525
Work out 4.438 * -328.
-1455.664
-1207386 * 5
-6036930
What is the product of -0.052791086 and 0.7?
-0.0369537602
What is the product of 37.19 and -1132?
-42099.08
90329.1*-0.07
-6323.037
453.9281 * -0.4
-181.57124
-0.002*134.581
-0.269162
Multiply 1.7 and 1177098.
2001066.6
What is the product of 4 and -214149095?
-856596380
Multiply 5407 and 0.7262.
3926.5634
340242*-5
-1701210
Product of -0.4 and 15037.07.
-6014.828
What is the product of -66 and -2.67017?
176.23122
-11.23965*-55
618.18075
Product of 0.17 and 2783172.
473139.24
Calculate -3*-0.38109908.
1.14329724
0.016 * 19.6069
0.3137104
Calculate 26587*-166.9.
-4437370.3
0.3*18020.67
5406.201
Multiply 0.06 and -1366646.
-81998.76
-476221.5*0
0
Multiply 124 and -220808.
-27380192
What is the product of 0 and 1.1930979?
0
6109 times -3
-18327
Product of -0.3736342 and 4.
-1.4945368
4 times -1075.993
-4303.972
3049355*1.3
3964161.5
What is the product of 23095369 and 4?
92381476
0.47667 * 24
11.44008
Calculate 1689*-7.9458.
-13420.4562
2.085 times 542.9
1131.9465
Product of 2 and -0.05666987.
-0.11333974
-3.19831 times 12
-38.37972
-156 times -21.983
3429.348
What is 3160148 times 68?
214890064
185544 times 0.01
1855.44
What is the product of -33.32 and 850.76?
-28347.3232
Multiply -0.028 and 420174.
-11764.872
Multiply 332.3 and 0.803.
266.8369
Multiply 376.31957 and 0.3.
112.895871
3*-71781831
-215345493
Multiply -0.2909 and 5453.
-1586.2777
Product of 4768568 and -7.9.
-37671687.2
Multiply 11 and -3702342.
-40725762
Multiply 419 and 81981.
34350039
76774 * -0.2375
-18233.825
Product of -2533 and 13.35 | {
"pile_set_name": "DM Mathematics"
} |
ob of picking 2 l when two letters picked without replacement from {d: 6, u: 1, l: 3, p: 2, b: 5, o: 3}.
3/190
What is prob of picking 1 y, 1 o, and 1 l when three letters picked without replacement from oaylya?
1/10
Two letters picked without replacement from {a: 1, i: 3, z: 4}. What is prob of picking 1 z and 1 i?
3/7
Two letters picked without replacement from gogodgisoiuoo. Give prob of picking 1 i and 1 s.
1/39
Four letters picked without replacement from {y: 3, b: 12}. What is prob of picking 2 y and 2 b?
66/455
What is prob of picking 2 t when two letters picked without replacement from tffytftf?
3/28
Two letters picked without replacement from {c: 2, l: 5, n: 2}. What is prob of picking 2 l?
5/18
Four letters picked without replacement from sssssffssffsf. Give prob of picking 4 f.
1/143
Calculate prob of picking 2 y when two letters picked without replacement from {s: 2, r: 7, y: 7}.
7/40
Three letters picked without replacement from {u: 1, p: 4, v: 5, n: 1, m: 1}. What is prob of picking 3 p?
1/55
Two letters picked without replacement from {x: 10, v: 6, j: 4}. Give prob of picking 2 j.
3/95
What is prob of picking 1 l and 1 k when two letters picked without replacement from {k: 12, i: 1, l: 2, z: 4}?
8/57
What is prob of picking 1 m, 1 r, and 1 d when three letters picked without replacement from dbghbghhbdmmrdgh?
3/280
Calculate prob of picking 2 e when two letters picked without replacement from {f: 3, e: 5}.
5/14
Calculate prob of picking 1 e, 1 r, and 1 g when three letters picked without replacement from xrgqe.
1/10
What is prob of picking 1 n, 1 t, and 1 g when three letters picked without replacement from {g: 12, t: 1, j: 3, n: 4}?
4/95
Four letters picked without replacement from wvwwvvyvwyw. What is prob of picking 2 w and 2 y?
1/33
Three letters picked without replacement from rrereearr. Give prob of picking 2 e and 1 a.
1/28
What is prob of picking 1 g, 2 s, and 1 f when four letters picked without replacement from ffscsssfsgcfsgg?
12/91
Two letters picked without replacement from {v: 1, z: 3, g: 1}. What is prob of picking 1 z and 1 g?
3/10
What is prob of picking 3 e and 1 q when four letters picked without replacement from {n: 5, e: 3, q: 2}?
1/105
Three letters picked without replacement from {n: 7, v: 2}. Give prob of picking 1 v and 2 n.
1/2
Four letters picked without replacement from {n: 1, w: 4, c: 5}. What is prob of picking 4 w?
1/210
Calculate prob of picking 1 f, 1 m, and 1 k when three letters picked without replacement from kqmmqmmmmffk.
6/55
Three letters picked without replacement from ataotildotditdiadttd. What is prob of picking 3 t?
1/57
What is prob of picking 1 i and 2 t when three letters picked without replacement from mttmttiimttimjtttt?
45/272
Four letters picked without replacement from kckkkkkkckkkkckckck. Give prob of picking 4 c.
5/3876
What is prob of picking 2 q and 1 w when three letters picked without replacement from wwwwwwqwwwq?
3/55
Two letters picked without replacement from {n: 3, a: 3, i: 1, y: 3}. Give prob of picking 1 i and 1 n.
1/15
Two letters picked without replacement from ooooozoooooopoo. What is prob of picking 1 z and 1 p?
1/105
Three letters picked without replacement from {r: 1, m: 2, w: 6, a: 3, t: 2, o: 6}. What is prob of picking 1 o and 2 t?
1/190
Calculate prob of picking 2 m when two letters picked without replacement from eomomoo.
1/21
Calculate prob of picking 1 c, 1 e, and 1 n when three letters picked without replacement from {c: 4, w: 1, n: 4, e: 7, r: 3}.
112/969
Two letters picked without replacement from {i: 1, o: 1, d: 2, s: 1, t: 2, l: 2}. Give prob of picking 1 o and 1 d.
1/18
Two letters picked without replacement from {c: 1, q: 2, d: 1, s: 2, y: 1}. Give prob of picking 1 y and 1 d.
1/21
Three letters picked without replacement from {y: 2, k: 2, j: 4, p: 3, o: 7}. What is prob of picking 1 o and 2 k?
7/816
What is prob of picking 2 k when two letters picked without replacement from kkkkkikiikikkkkkkkk?
35/57
Calculate prob of picking 1 a and 2 x when three letters picked without replacement from {x: 2, a: 10}.
1/22
Two letters picked without replacement from zaazfaaazff. Give prob of picking 1 f and 1 a.
3/11
Three letters picked without replacement from {z: 2, k: 17}. Give prob of picking 1 z and 2 k.
16/57
What is prob of picking 1 v, 1 h, and 2 s when four letters picked without replacement from {l: 8, r: 5, h: 3, v: 2, s: 2}?
2/1615
What is prob of picking 1 q and 1 l when two letters picked without replacement from qxoxqxoqlxoqlqxlq?
9/68
Two letters picked without replacement from pqmwv. Give prob of picking 1 q and 1 p.
1/10
Calculate prob of picking 4 r when four letters picked without replacement from {g: 1, w: 2, r: 7, x: 1, v: 8}.
35/3876
Calculate prob of picking 1 r and 1 o when two letters picked without replacement from {o: 2, r: 7, u: 1}.
14/45
What is prob of picking 1 d and 1 a when two letters picked without replacement from ada?
2/3
Two letters picked without replacement from wtwwbwt. Give prob of picking 1 t and 1 b.
2/21
Two letters picked without replacement from {h: 1, f: 4, r: 4, p: 3, m: 1}. What is prob of picking 1 m and 1 f?
2/39
Two letters picked without replacement from {v: 3, w: 6, k: 2, j: 3, h: 2}. Give prob of picking 1 v and 1 k.
1/20
What is prob of picking 2 a when two letters picked without replacement from {a: 2, d: 2, w: 2}?
1/15
What is prob of picking 1 l and 1 j when two letters picked without replacement from {j: 5, s: 3, l: 2}?
2/9
What is prob of picking 3 k when three letters picked without replacement from {y: 2, k: 3}?
1/10
Two letters picked without replacement from ppyppppyppp. What is prob of picking 2 p?
36/55
Four letters picked without replacement from {o: 3, y: 4}. What is prob of picking 1 y and 3 o?
4/35
Calculate prob of picking 2 p and 1 e when three letters picked without replacement from {b: 4, p: 2, g: 1, e: 3, q: 6, c: 4}.
1/380
Calculate prob of picking 2 u when two letters picked without replacement from {u: 3, a: 17}.
3/190
Three letters picked without replacement from {a: 5, b: 11}. Give prob of picking 3 b.
33/112
Three letters picked without replacement from hhhhhihwn. Give prob of picking 1 n, 1 h, and 1 w.
1/14
What is prob of picking 1 a, 1 z, and 2 o when four letters picked without replacement from {z: 2, a: 4, o: 3}?
4/21
What is prob of picking 1 q and 1 v when two letters picked without replacement from iisvqsiqissqi?
1/26
Two letters picked without replacement from {s: 3, t: 2, g: 2, y: 5}. What is prob of picking 1 g and 1 s?
1/11
Calculate prob of picking 2 t when two letters picked without replacement from qqooqtqqoqqqoqotqqqq.
1/190
Four letters picked without replacement from aattaaa. What is prob of picking 1 t and 3 a?
4/7
Two letters picked without replacement from ssfffs. Give prob of picking 2 s.
1/5
Calculate prob of picking 1 k and 1 i when two letters picked without replacement from {a: 5, x: 3, b: 6, t: 1, k: 1, i: 3}.
1/57
Four letters picked without replacement from {t: 7, k: 3, s: 9}. What is prob of picking 4 s?
21/646
Two letters picked without replacement from {q: 1, i: 1, h: 1, y: 1, b: 1, t: 2}. What is prob of picking 1 b and 1 y?
1/21
Three letters picked without replacement from {g: 1, h: 1, a: 4, u: 2}. What is prob of picking 2 a and 1 h?
3/28
What is prob of picking 2 n and 1 h when three letters picked without replacement from kponnpnznpnpphnh?
3/56
What is prob of picking 1 x and 1 r when two letters picked without replacement from aqqxrqb?
1/21
Calculate prob of picking 3 r when three letters picked without replacement from rorrooaroao.
4/165
Calculate prob of picking 3 y and 1 c when four letters picked without replacement from lcyycclcylccclclyy.
4/153
Three letters picked without replacement from {d: 6, r: 1, y: 3, z: 1, m: 3}. Give prob of picking 1 m and 2 y.
9/364
What is prob of picking 3 p when three letters picked without replacement from {p: 5}?
1
What is prob of picking 1 f and 1 z when two letters picked without replacement from zzczzzihfzfft?
3/13
Three letters picked without replacement from guuuzuuzuu. Give prob of picking 1 g and 2 u.
7/40
Two letters picked without replacement from {g: 1, t: 2, v: 3, u: 2, z: 3, y: 1}. Wh | {
"pile_set_name": "DM Mathematics"
} |
-0.1. Let u be (-6)/(-33) - (2457/143 + -17). Sort u, n, -0.2, 0.5 in decreasing order.
0.5, n, u, -0.2
Let d = -2735 + 5177. Sort d, 2, -2 in descending order.
d, 2, -2
Suppose -2*y = 3*y. Let w = 35506 - 35507. Let b = 2 - 1. Sort b, 2, w, y.
w, y, b, 2
Let n = 7343 - 7415. Sort 22, 1, n, 3 in ascending order.
n, 1, 3, 22
Let t = 3297.8 + -3298. Sort t, 1, 4, 0.802 in descending order.
4, 1, 0.802, t
Let o be ((-4)/(-28))/(6/(-7)). Let f be (2/6)/(-1) + 2530/3036. Put f, 10, o in decreasing order.
10, f, o
Let n = 828.9622 + 0.0378. Let p = n + -829.5. Sort 11, p, -3, 1.
-3, p, 1, 11
Let r = 0.37 - -467.63. Let n = -463 + r. Put 0, n, -1/3, 24 in descending order.
24, n, 0, -1/3
Suppose 7 - 22 = -3*z. Suppose -9*u + u = -z*u. Suppose f - t - 3 = 0, 2*t = -12*f + 7*f + 22. Put f, 5, u in descending order.
5, f, u
Let u be (-180 - -44)*(-1)/(-8)*2. Sort -2/7, u, -0.2, 7, 0.1.
u, -2/7, -0.2, 0.1, 7
Suppose -5*j - 2*x = -33, 0 = 2*j - 0*x + 2*x - 18. Let r = 0 + j. Suppose -35*t - 2 = -39*t - g, -2*t + 4*g = -10. Put 3, r, t, 4 in decreasing order.
r, 4, 3, t
Let t be (-2897)/5 - 11*32/(-880). Put -3, -1, t, 3 in decreasing order.
3, -1, -3, t
Suppose 3*s - 3 = -3*p, 2*s - 3*p + 4*p - 4 = 0. Suppose 26 = -79*x + 76*x - 4*m, -27 = s*x + 3*m. Put 4, x, 5 in decreasing order.
5, 4, x
Let d(j) be the second derivative of -j**3/3 + 7*j**2 - 4*j. Let a be d(8). Let v = -12 - -2. Sort v, 1, 2, a in increasing order.
v, a, 1, 2
Suppose 0 = 600*z - 31650 + 79196 + 87454. Sort -5, z, 2, -2, -4.
z, -5, -4, -2, 2
Suppose 0 = d - 7 + 5. Let f(a) = -a**3 + 13*a**2 + 15*a - 10. Let k be f(14). Let l = 3 + k. Sort l, -0.4, d in increasing order.
-0.4, d, l
Suppose -3*y - 2*y = 10. Let i(x) = 19*x**2 + 245*x + 8. Let r be i(-13). Sort 1, r, y in ascending order.
y, 1, r
Let r be (12/1050*-15)/(3/(-7)). Let d be -177*(0 - 12/20). Let l = d - 107. Sort r, l, -5 in ascending order.
-5, l, r
Let d be 1/8 + -2 + 1043/616. Sort 12, -1, d, -4 in descending order.
12, d, -1, -4
Let g be (33*20/770)/(-2*1). Let p = 132/65 - 42/13. Sort p, -4, g in descending order.
g, p, -4
Let p(c) = -c**2 - 10*c + 277. Suppose 258 + 80 = 26*u. Let f be p(u). Put 2, -4, f in decreasing order.
2, -4, f
Let k(u) = 25*u + 1133. Let s be k(-50). Sort s, -5, -1, 4 in descending order.
4, -1, -5, s
Let t be (1/2)/(2/(-20)). Let j(h) = 3*h**2 - 1764*h + 10472. Let f be j(6). Put f, t, -62 in descending order.
f, t, -62
Let b = -4913.6 + 4914. Sort b, 0, -1, -36/7 in decreasing order.
b, 0, -1, -36/7
Suppose -65 = -7*t - 205. Let x be -12*((-16)/t - 1) - 2. Let y be 4/(-10) + 0/9. Sort y, -21, x in decreasing order.
x, y, -21
Let k(m) = -10*m - 76. Let g be k(-10). Suppose -2*t - t = d + 8, 2*t + g = 4*d. Sort 5, d, -2, -22 in increasing order.
-22, -2, d, 5
Let r(b) = 138*b - 1932. Let m be r(14). Sort 348, m, 3, 5 in decreasing order.
348, 5, 3, m
Let b = -8.553 + -0.247. Let i = -11.8 - b. Suppose -3*z + 8 = -7*z. Sort i, -5, z in increasing order.
-5, i, z
Let o(g) = 222*g + 2900. Let l be o(-13). Put l, -1, -25 in decreasing order.
l, -1, -25
Let q = -0.3 + 39.4. Let l = 38.02 - -0.98. Let y = l - q. Sort -8, y, 1/3 in descending order.
1/3, y, -8
Let d = 0 - 0. Suppose -4*b + 3*m = -47, 4*m + 73 = 5*b + 14. Suppose -27*t = b*t + 76. Put t, d, 1, 5 in decreasing order.
5, 1, d, t
Suppose -11*f - 107*f + 236 = -236. Put f, -3, 464, -5 in ascending order.
-5, -3, f, 464
Let a be (-48)/(-1 + -383)*(2265 + -1). Put -6, a, -2, 4 in decreasing order.
a, 4, -2, -6
Let l be 18 + 38/((-3800)/1860). Put 0.5, l, 358 in descending order.
358, 0.5, l
Let i = 817 + -375. Suppose -5*f = 452 - i. Put 1, f, -9, 3 in ascending order.
-9, f, 1, 3
Let y = -18.485 - -23.485. Sort -4, 6, y, -12, 0.
-12, -4, 0, y, 6
Let c be (-6)/5*-15*(7748/(-702) - -11). Let u = 603/2212 - 30/79. Let p = 2.3 + 0.7. Sort p, c, 0.5, u.
c, u, 0.5, p
Suppose -21*p - 10*p + 45*p = 14. Put p, 2501, 4 in decreasing order.
2501, 4, p
Suppose 0 = -4*z + d - 83, 147*z + 40 = 146*z + 2*d. Let f = -0.2 - 0. Sort z, f, -2 in ascending order.
z, -2, f
Suppose -18 = v - 3*z, v - z + 11 = -v. Let a(h) = -486*h - 45194. Let i be a(-93). Sort v, i, 8 in descending order.
8, i, v
Suppose 2*m + 10 = 2*p, 0*m = -m. Suppose p*g = j, -2*g = -j - 2*j. Put 5, -4, 4, g in descending order.
5, 4, g, -4
Let k = 1670 + -1658. Sort -0.1, 2, -6/5, k.
-6/5, -0.1, 2, k
Let q(r) = -r**3 + 37*r**2 + r - 37. Let f be q(37). Put 4, f, -1850 in descending order.
4, f, -1850
Let b = -17629 - -17624. Let j = -2 - -1.8. Put b, -0.5, j, 65 in descending order.
65, j, -0.5, b
Suppose 2*n = 5*r + 10, -91*n + 95*n = 2*r + 20. Put -2, n, 17, 0 in descending order.
17, n, 0, -2
Suppose 2*z + 2*f - 65 = -3*f, f = -2*z + 61. Suppose 3*p + z*l = 32*l - 133, 0 = -p - 3*l - 26. Sort p, 1, 2 in descending order.
2, 1, p
Suppose 0 = -4*x + 20, 2*x = -3*m + x + 101. Suppose -16 = -b - 2*p, b + 2*p - 28 = -3*p. Let j be (0 + 4)/(m/b). Put j, -13, 2 in descending order.
2, j, -13
Let s be (-14 + 12)*(2 - (-10)/(-4)). Suppose 4*k + 36 = 2*p, 17 = -5*k - 5*p - 13. Sort s, 4, k.
k, s, 4
Let p = 88/35 + -278/105. Put -0.62, 0.2, p in descending order.
0.2, p, -0.62
Let k = 0.556 + -0.036. Let v = 0.22 - k. Let p = 0.1 - v. Put -4, -0.5, p, -0.2 in decreasing order.
p, -0.2, -0.5, -4
Let y(d) = d**3 + 4*d**2 - d + 2. Let b be y(-4). Suppose 0 = -3*q - b, -q - 18 = 2*k + 3*q. Let z = 44 + -51. Sort k, -2, 2, z in ascending order.
z, k, -2, 2
Suppose 2*x = -5*c + 102 - 90, 5*c - x = -6. Put 2, -863, c in decreasing order.
2, c, -863
Suppose 4*s - 111 = -87. Let x be 14/49 - (-52)/14. Let g be x/14 + 48/(-21). Sort g, s, 5.
g, 5, s
Let w = 21327 - 21343. Sort -2, w, 126 in increasing order.
w, -2, 126
Let h be (-33 - -48)*(-2)/(-10). Put 4, 2, 3/2, h, 0.2 in descending order.
4, h, 2, 3/2, 0.2
Let m be 254/90 + (-5200)/2000. Put m, 8, -0.6, 5/11 in decreasing order.
8, 5/11, m, -0.6
Suppose -2*f = 4*t - 4, 0 = -3*f - 2*f - 2*t + 2. Let a = -326 + 332. Let o be ((-14)/a)/(49/(-6) - -7). Sort f, -9, o in ascending order.
-9, f, o
Let v = -764.4 + 764.39. Put -1, v, -3/16, 3 in decreasing order.
3, v, -3/16, -1
Suppose -9*x - 6542 = -6488. Put -8, x, 1, -2, 4 in increasing order.
-8, x, -2, 1, 4
Let k be 6/(-12) - 1980/24. Sort -3, k, -73 in descending order.
-3, -73, k
Let z = 22439/55 - 3357/11. Let j = 102 - z. Let s = -3361.2 - -3361. Put j, 0.1, s in descending order.
0.1, s, j
Let d = 8385 - 8385. Put -5, -2, d, 20 in increasing order.
-5, -2, d, 20
Suppose -5*m + 2*z + 376 = -453, -2*m + 3*z + 325 = 0. Suppose 13*u - m = -24. Let w be u/(-3) - (-2)/3. Sort -2, 0, 4, w in decreasing order.
4, 0, -2, w
Suppose 351 = -0*s + 9*s. Suppose 11 = l + 5*h - 9, 5*l = h + 22. Sort -5, s, l in descending order.
s, l, -5
Let f = 5237 + -5335. Sort 5, 1, f.
f, 1, 5
Let q be (-3)/(-2)*(-8)/(-3). Let y = 16588 - 16590. Put -5, q, y in decreasing order.
q, y, -5
Suppose -135*t - 199 + 1067 = 82*t. Sort 0.1, t, 1.901, 0.
0, 0.1, 1.901, t
Let f = 274 - 270. Let u be (-7)/(-56)*f*-11*2. Sort 5, u, -5.
u, -5, 5
Let o be -4*(-2 + 3/3). Suppose k = -o + 3. Suppose -5*t = 3*h + 2, 7*t + 1 = -4*h + 2*t. Put k, -4, h in decreasing order.
h, k, -4
Let d(j) = -j**3 - 10*j**2 + 46*j + 449. Let p be d(-11). Put 3, -1, p, -2 in descending order.
p, 3, -1, -2
Let a be 56/70*(-5)/(-26). Let f = 15 + -14.8. Let u = -11/4 - -5/2. Put u, a, f, -1 in descending order.
f, a, u, -1
Let i = 615 + -608. Let t = -2.2 - -2.3. Sort -2, t, i in descending order.
i, t, -2
Let t(p) = 107*p + 2136. Let g be t(-20). Sort -35, g, 3, -1, 0 in decreasing order.
3, 0, -1, g, -35
Let i = -0.3417 + 0.1417. Sort -3/5, i, -1, 1/55, 5 in descending order.
5, 1/55, i, -3/5, -1
Let w = -5082 + 5058. Sort -23, w, 1 in descending order.
1, -23, w
Let j = -2513 + 2518. Let g be (-2 + (-6 - -7))*3. Let q = 1 - 1. Put g, q, j in ascending order.
g, q, j
Suppose 0 = 18*k + 9*k + 54. Let u be (3/(-9))/(31/(-15) - k). Sort -3, u, 3, 2.
-3, 2, 3, u
Let w = 11640 + -11642. Sort w, -1, 5, -6, 10 in descending order.
10, 5, -1, w, -6
Let v = -16681 - -16684. Sort 1, v, 5, -4, -9.
-9, -4, 1, v, 5
Let t be (54/(-180))/(6/(-112)). Put t, 4, -0.03, 3/8 in decreasing order.
t, 4, 3/8, -0.03
Suppose 0 = 30*d - 33*d + 6. Let u = -5124 + 5128. Put 0, 1, u, d i | {
"pile_set_name": "DM Mathematics"
} |
5
What is the remainder when 180662 is divided by 90135?
392
What is the remainder when 26352273 is divided by 5270444?
53
Calculate the remainder when 14202 is divided by 10997.
3205
What is the remainder when 4288158 is divided by 63061?
10
Calculate the remainder when 724599 is divided by 362289.
21
What is the remainder when 78389 is divided by 4857?
677
What is the remainder when 32675 is divided by 31934?
741
Calculate the remainder when 24590839 is divided by 1891602.
13
Calculate the remainder when 10571056 is divided by 40346.
404
Calculate the remainder when 12846639 is divided by 241.
134
Calculate the remainder when 42098 is divided by 39119.
2979
Calculate the remainder when 116209 is divided by 3606.
817
Calculate the remainder when 267766 is divided by 2031.
1705
What is the remainder when 451482 is divided by 150488?
18
What is the remainder when 132137 is divided by 18837?
278
What is the remainder when 3201291 is divided by 142?
43
Calculate the remainder when 253718164 is divided by 221.
219
Calculate the remainder when 171652757 is divided by 85826368.
21
Calculate the remainder when 10454 is divided by 8958.
1496
What is the remainder when 1853332 is divided by 874?
452
What is the remainder when 7066551 is divided by 53?
8
What is the remainder when 270734 is divided by 9877?
4055
What is the remainder when 80927 is divided by 26781?
584
What is the remainder when 991259 is divided by 330403?
50
Calculate the remainder when 402842 is divided by 36575.
517
Calculate the remainder when 2606608 is divided by 2407.
2234
What is the remainder when 139160 is divided by 15459?
29
Calculate the remainder when 60924514 is divided by 6491.
6479
Calculate the remainder when 25977 is divided by 1053.
705
Calculate the remainder when 144434413 is divided by 14.
11
What is the remainder when 107882539 is divided by 528?
523
What is the remainder when 18164260 is divided by 1007?
1001
What is the remainder when 1722749 is divided by 90669?
38
Calculate the remainder when 8962359 is divided by 93356.
183
What is the remainder when 37359 is divided by 12426?
81
What is the remainder when 17150836 is divided by 1559166?
10
What is the remainder when 52411100 is divided by 21?
14
What is the remainder when 48516393 is divided by 155?
153
What is the remainder when 22182 is divided by 2604?
1350
What is the remainder when 563615667 is divided by 7492?
7491
What is the remainder when 155668878 is divided by 3536?
14
What is the remainder when 6136885 is divided by 46491?
73
What is the remainder when 97240 is divided by 92?
88
Calculate the remainder when 235068 is divided by 58756.
44
What is the remainder when 1987 is divided by 259?
174
What is the remainder when 11765239 is divided by 47?
11
What is the remainder when 169958 is divided by 18824?
542
What is the remainder when 394218 is divided by 247?
6
Calculate the remainder when 127349542 is divided by 14.
12
What is the remainder when 1630899 is divided by 228?
15
What is the remainder when 38870999 is divided by 9255?
9254
What is the remainder when 34789790 is divided by 31?
9
Calculate the remainder when 7964535 is divided by 1137789.
12
What is the remainder when 509144 is divided by 551?
20
Calculate the remainder when 303768 is divided by 101250.
18
What is the remainder when 96309 is divided by 92385?
3924
What is the remainder when 1018536 is divided by 3213?
15
What is the remainder when 4612428 is divided by 96?
12
What is the remainder when 2723407 is divided by 340399?
215
Calculate the remainder when 1129894 is divided by 16139.
164
What is the remainder when 105158 is divided by 96644?
8514
Calculate the remainder when 34792 is divided by 192.
40
What is the remainder when 891607 is divided by 230?
127
What is the remainder when 11159986 is divided by 1240?
1226
Calculate the remainder when 2165636 is divided by 998.
974
What is the remainder when 6120 is divided by 2401?
1318
What is the remainder when 11950 is divided by 112?
78
Calculate the remainder when 10058 is divided by 9669.
389
What is the remainder when 173976 is divided by 524?
8
Calculate the remainder when 23659274 is divided by 11829635.
4
What is the remainder when 5326520 is divided by 828?
824
What is the remainder when 181947830 is divided by 4642?
4640
Calculate the remainder when 792651 is divided by 212.
195
What is the remainder when 1024060 is divided by 5306?
2
Calculate the remainder when 123815 is divided by 693.
461
What is the remainder when 696474 is divided by 193?
130
What is the remainder when 10117070 is divided by 40?
30
What is the remainder when 361754146 is divided by 839?
838
What is the remainder when 15370 is divided by 6658?
2054
Calculate the remainder when 81271 is divided by 81179.
92
Calculate the remainder when 1531480 is divided by 665.
650
What is the remainder when 127053909 is divided by 19?
16
What is the remainder when 5319194 is divided by 41234?
8
Calculate the remainder when 16478404 is divided by 7.
5
What is the remainder when 296087 is divided by 11365?
597
What is the remainder when 55138 is divided by 27019?
1100
What is the remainder when 49111156 is divided by 3?
1
What is the remainder when 340949 is divided by 28405?
89
Calculate the remainder when 1130165 is divided by 15271.
111
Calculate the remainder when 25781701 is divided by 12890821.
59
What is the remainder when 19573117 is divided by 128?
125
Calculate the remainder when 96024572 is divided by 3185.
7
Calculate the remainder when 33856646 is divided by 450.
446
Calculate the remainder when 3582798 is divided by 1791390.
18
What is the remainder when 1834931 is divided by 907?
70
What is the remainder when 156882 is divided by 252?
138
What is the remainder when 8914331 is divided by 592?
587
Calculate the remainder when 248294679 is divided by 91.
87
Calculate the remainder when 74847 is divided by 10667.
178
Calculate the remainder when 1229003 is divided by 1185.
158
What is the remainder when 329918 is divided by 149?
32
What is the remainder when 31215550 is divided by 335651?
7
Calculate the remainder when 84989 is divided by 1152.
893
What is the remainder when 201361 is divided by 271?
8
Calculate the remainder when 519704 is divided by 171192.
6128
What is the remainder when 237243 is divided by 11829?
663
Calculate the remainder when 4484401 is divided by 2242192.
17
What is the remainder when 2603298 is divided by 1620?
1578
What is the remainder when 976 is divided by 305?
61
Calculate the remainder when 110900 is divided by 3861.
2792
What is the remainder when 183352 is divided by 270?
22
Calculate the remainder when 820584 is divided by 23445.
9
Calculate the remainder when 5734135 is divided by 11537.
246
Calculate the remainder when 96243 is divided by 1566.
717
Calculate the remainder when 762463 is divided by 21179.
19
What is the remainder when 9499948 is divided by 118?
4
Calculate the remainder when 112729 is divided by 2661.
967
Calculate the remainder when 167663 is divided by 2990.
223
Calculate the remainder when 3143522 is divided by 10953.
11
Calculate the remainder when 20851447 is divided by 123.
118
What is the remainder when 4808015 is divided by 343424?
79
What is the remainder when 73079506 is divided by 252?
10
Calculate the remainder when 3176872 is divided by 1566.
1024
What is the remainder when 6365460 is divided by 578677?
13
What is the remainder when 53177294 is divided by 68?
2
What is the remainder when 407507165 is divided by 22?
21
Calculate the remainder when 4704921 is divided by 5628.
5541
What is the remainder when 95397574 is divided by 3229?
3227
Calculate the remainder when 58951358 is divided by 1183.
102
What is the remainder when 10859875 is divided by 4411?
4404
What is the remainder when 109068 is divided by 108965?
103
Calculate the remainder when 69712 is divided by 52.
32
Calculate the remainder when 20732 is divided by 1254.
668
What is the remainder when 38341123 is divided by 4?
3
Calculate the remainder when 236638 is divided by 55866.
13174
Calculate the remainder when 5505484 is divided by 6050.
6034
What is the remainder when 209331 is divided by 41837?
146
What is the remainder when 2803253 is divided by 52?
37
Calculate the | {
"pile_set_name": "DM Mathematics"
} |
)/75)/((-4)/1)?
1/6
What is the value of ((60/10)/(-36))/((-1)/18)?
3
((-16)/(-24))/((-4)/(-18))
3
(-25)/(-40)*(-4)/10*3
-3/4
Calculate ((21/4)/7)/(-3).
-1/4
Evaluate 6/(-15)*(-30)/(-114).
-2/19
Calculate ((-84)/(-36))/7*-12.
-4
What is 9*(-6)/(-567)*7?
2/3
Evaluate (36/56)/(12/(-14)).
-3/4
What is ((-1)/(-3))/((80/168)/10)?
7
Calculate (13/(65/(-10)))/(-2).
1
What is 54/3*12/(-36)?
-6
(-1)/(2*-2*9/9)
1/4
What is the value of ((-1)/(3/(-3)))/(2/10)?
5
What is (42/(-168))/(2*(-3)/264)?
11
5/((18/9)/(24/20))
3
What is (-3*10/24)/((-20)/(-24))?
-3/2
What is the value of ((-3)/9)/(10/(-150))?
5
((-12)/15)/(11/55)
-4
What is the value of (10/6)/(5/6)?
2
What is 2/((-35)/20*-4)?
2/7
Calculate (3*4/15)/(605/(-275)).
-4/11
What is ((-3)/((-3)/2))/((-56)/16)?
-4/7
What is (-7)/(-7)*((-20)/(-4))/(-40)?
-1/8
What is the value of (4/3)/((952/294)/17)?
7
Calculate ((-1)/44*-2)/(2/(-8)).
-2/11
Calculate (2/30*3)/((-1)/(-5)).
1
What is the value of 7/4*(-72)/18?
-7
What is 10/2*12/(-15)?
-4
((-19)/(798/36))/((-2)/14)
6
Calculate 0/((-3)/(-6)*-16).
0
What is the value of ((-1)/(-14))/((66/6)/(-44))?
-2/7
Evaluate (40/(-96))/((-10)/3).
1/8
(4/(-4))/(2/(6/3))
-1
What is the value of (-24)/12*4/(-2)?
4
What is the value of 8/14*(-161)/230?
-2/5
(-3)/12*2*(-26)/26
1/2
Calculate (-5*(-6)/(-10))/((-3)/(-2)).
-2
Evaluate (4/(-14))/((-27)/((-243)/(-6))).
3/7
What is the value of (-1)/(8/(-12))*2?
3
What is the value of 3/(((-17)/51)/(2/6))?
-3
What is the value of 4/16*(-8)/7?
-2/7
4*28/80*(-65)/13
-7
What is the value of 9/3*-1*1?
-3
What is the value of (-1*4)/((-27)/27)?
4
(-1)/(6/((-300)/(-10)))
-5
((-11)/220*-10)/(2/(-12))
-3
Evaluate (4/(-18))/((88/(-24))/(-11)).
-2/3
What is (56/8)/(-14)*8?
-4
Evaluate 11/11*(-8)/(2/1).
-4
What is the value of ((-4)/2)/(4*(-3)/(-2))?
-1/3
((-56)/49)/(-8)*21/9
1/3
Calculate (-14)/315*3/(-6)*10.
2/9
Evaluate ((-60)/(-10))/((-6)/(-3)).
3
Calculate (574/(-246))/(1/3).
-7
Calculate (-3)/(-5)*5/3.
1
What is (0/((-12)/(-3)))/((-4)/4)?
0
What is the value of (10/40)/(-1)*-28?
7
8/12*(-9)/(-2)
3
Calculate (71/213)/((-1)/3).
-1
What is the value of (-11)/1012*-23*(-4)/1?
-1
What is (12/(-108))/((-5)/6)?
2/15
What is the value of (7/(-2))/7*-10?
5
What is the value of ((-2)/6)/((-13)/(-156))?
-4
(266/19)/(2/1)
7
Calculate (-50)/(-20)*(-6)/(-55).
3/11
What is 52/(-1092)*1*9?
-3/7
Evaluate 5/(-1*3*38/(-57)).
5/2
What is 8*(-4)/48*12?
-8
What is (3/(-6))/((25/2)/(-5))?
1/5
Calculate 3/(-9)*42/(-98).
1/7
What is the value of -4*5/(-3)*66/44?
10
What is the value of ((-5)/(-20))/((-1)/2*9)?
-1/18
What is 15/42*1*24/60?
1/7
Calculate 1*2*5/(-10).
-1
What is (-54)/(-45)*(-100)/15?
-8
((-24)/(-306))/((-16)/24)
-2/17
Calculate (-9)/(-6)*(-8)/(-3).
4
(-7)/5*(-52)/91
4/5
What is 35/14*40/25?
4
Evaluate (-5*(-12)/(-210))/((-5)/105).
6
((-6)/5)/(66/30)
-6/11
What is (8/(128/8))/(1/(-4))?
-2
Calculate 10*(8/16*-1)/2.
-5/2
What is 3/(((-1)/((-6)/6))/(-2))?
-6
Evaluate -4*20/(-16)*1.
5
Evaluate (18/147)/(12/(-56)).
-4/7
What is the value of ((-2)/14)/(1/3)?
-3/7
Calculate 2/(((-63)/(-7))/(-18)).
-4
What is ((-1)/2)/(((-90)/40)/1)?
2/9
Evaluate ((-50)/(-60))/(2*1/4).
5/3
What is the value of (-16)/84*(-12)/(-8)?
-2/7
What is (-2*2/40)/((-2)/(-5))?
-1/4
Evaluate 0/(((-24)/6)/((-4)/2)).
0
(2/(-7))/(19/(798/(-120)))
1/10
What is (-56)/(-168)*(-6)/11?
-2/11
Evaluate (-156)/182*((-168)/45)/4.
4/5
(-2)/(-3)*(-42)/(-20)
7/5
What is the value of ((-11)/(-110))/((-3)/(-6))?
1/5
What is (-1)/(-2)*(-8)/12*3?
-1
Calculate (-2)/35*-1*(-700)/(-140).
2/7
Calculate (3/18)/(2/(-3)).
-1/4
What is the value of -3*1*(-1043)/(-447)?
-7
Evaluate (1215/(-36))/(-27)*2/10.
1/4
What is the value of 312/351*1/4?
2/9
Calculate (-2)/(-2)*(-3)/(-1).
3
What is (4/(-12))/((-7)/(-63))?
-3
What is (-2*-4*2/(-96))/1?
-1/6
(84/(-36))/(((-336)/(-18))/(-8))
1
(-4)/3*(-459)/3060
1/5
What is (-2)/(32/14)*(-32)/16?
7/4
What is (-2)/((-12)/(-6))*1?
-1
What is the value of -9*4/9*(-12)/(-16)?
-3
What is (-54)/(-81)*(-3)/2?
-1
What is the value of ((-35)/(-231))/(7/(42/15))?
2/33
13/((-91)/28)*3/(-78)
2/13
What is the value of ((-16)/(-4))/(7/(105/(-10)))?
-6
What is (-30)/(-25)*(-40)/108?
-4/9
Calculate (2/(-2))/((-7)/(14/(-15))).
-2/15
Evaluate (-189)/42*4/(-6).
3
Evaluate (3/45*-10)/((-1)/(-6)).
-4
Calculate ((9/3)/(-15))/1.
-1/5
Calculate (3*6/(-27))/((-84)/(-21)).
-1/6
Evaluate ((-24)/(-72))/(1/(-12)).
-4
((4/2)/4)/((-37)/74)
-1
What is the value of 18/(-27)*(-21)/35?
2/5
Evaluate ((-8)/((-6)/(-3)))/14.
-2/7
Calculate ((-16)/16)/(-7*1).
1/7
Calculate (112/(-35))/(-8)*15/1.
6
What is (-24)/(-99)*18/(-24)?
-2/11
What is (12/4)/((-6)/(-4))?
2
Evaluate (-12)/30*25/40.
-1/4
Evaluate 345/23*3/45.
1
Evaluate (1/4)/((-126)/(-560)*15).
2/27
((-6)/34)/(-12*11/(-88))
-2/17
What is (-4)/(-15)*(-50)/(-20)?
2/3
What is the value of (-6)/(-12)*((-3)/3)/1?
-1/2
(4/(-25))/(20/50)
-2/5
Calculate (-7)/(-14)*2/2*-8.
-4
What is -1*45/(-6)*4/6?
5
What is ((-32)/12)/((-16)/24)?
4
(40/170)/((-16)/8)
-2/17
((-6)/(-9)*-3)/((-16)/(-24))
-3
What is the value of 0*6/15*(-85)/(-68)?
0
33/11*(-12)/(-9)
4
What is ((-88)/8)/22*0/(-2)?
0
What is (3/8)/(2/(-4)*-3)?
1/4
(-77)/66*(-20)/105
2/9
Calculate 1*0/((-4)/(-4)*-1).
0
(-1)/(-1)*1*0/(-1)
0
(189/(-756))/((33/(-8))/3)
2/11
What is the value of (58/116)/(9/2)?
1/9
What is ((8/(-6))/1)/((-182)/819)?
6
What is 3*(-70)/(-252)*8/70?
2/21
Calculate 70/25*(-17)/34.
-7/5
((-5)/20)/((-150)/(-40))
-1/15
What is (3/(-7))/(4/(-14))?
3/2
((-184)/230)/((18/(-5))/(-1))
-2/9
What is -2*(-18)/27*(-24)/4?
-8
Calculate (3/27*3)/((-2)/2).
-1/3
What is the value of (-8)/(264/(-3))*11?
1
What is the value of 35*(-7)/(-105)*(-96)/(-56)?
4
((-6)/(-1))/(48/(-32))
-4
Evaluate (18/15)/(16/40).
3
What is the value of ((-3)/(6/(-4)))/((-1437)/(-479))?
2/3
What is the value of -2*(-6)/(-36)*3/(-1)?
1
Evaluate 9/(-6)*(-2)/(-3).
-1
Evaluate (-1)/((-1)/1)*-5.
-5
What is (12/(-9)*1)/((-12)/2)?
2/9
Evaluate -4*1/((-140)/15).
3/7
Evaluate (-16)/(-120)*6*-5.
-4
Evaluate (-7)/2*(-8)/(-42).
-2/3
(-4)/(-14)*(-112)/(-96)
1/3
What is (24/84)/(5/(105/(-36)))?
-1/6
What is the value of (-67)/67*1*1/2?
-1/2
(-2)/4*(0/5)/6
0
((-1)/(-1))/((-6)/420*-10)
7
What is -2*(-35)/(-56)*4?
-5
What is (1/(35/(-9)))/((-9)/15)?
3/7
(4/8)/(2/2)
1/2
What is (8/(-6))/((-20)/(-135))?
-9
((-6)/14)/(198/(-1848))
4
(7*(-6)/42)/((-1)/(-5))
-5
What is the value of 2/10*1/((-6)/15)?
-1/2
(3/9)/(2/12*-5)
-2/5
Evaluate 2/2*114/(-57).
-2
Evaluate (((-36)/9)/4)/(-7).
1/7
Evaluate (-8)/6*21/(-28)*-5.
-5
What is 5/2*93/310?
3/4
What is the value of (-8)/((-80)/25)*4/(-75)?
-2/15
Evaluate ((-5)/(-10))/(2/8).
2
(-4)/3*144/(-32)
6
Evaluate ((-60)/56)/5*24/18.
-2/7
What is 3/5*14/(-21)?
-2/5
What is 1/1*3/(-33)?
-1/11
Evaluate -20*5/(-80)*4.
5
What is 3*1/3*-4?
-4
Evaluate -7*(-4)/(-44)*11.
-7
Calculate ((8/14)/(-2))/(-1).
2/7
(12/36)/(1/((-2)/(-3)))
2/9
((-22)/(-33))/(32/72)
3/2
(2/(-6))/(((-1)/(-6))/1)
-2
(-3)/((-108)/(-9))*-28
7
What is (-2)/3*78/(-260)?
1/5
Calculate (-28)/(-14)*(-2)/4.
-1
What is (-12)/(-18)*3/(-4)?
-1/2
What is ((-1)/6)/((-9)/18*-2)?
-1/6
Evaluate ((-2)/(-1))/(14/(4/(-2))).
-2/7
What is -3*((-56)/12)/7?
2
Evaluate (4/8)/(14/8).
2/7
Evaluate (7/(-35))/((-2)/2).
1/5
(-27)/(-90)*5/(-6)
-1/4
Calculate 1/(((-495)/(-60))/(6/(-4))).
-2/11
What is (-7)/14*(-2)/1?
1
Calculate 15*-2*(-6)/(-108)*3.
-5
((-1)/(-12))/((-20)/(-40))*3
1/2
What is ((-33)/(-11))/(1/(2/3))?
2
What is the value of (((-4)/(-6))/(-1))/((-6)/(-9))?
-1
Calculate 1*((-2)/6)/((-3)/45).
5
Evaluate ((-2)/6*1)/1.
-1/3
((-4)/(-70))/((-1)/5)
-2/7
What is 45/54*(-63)/70?
-3/4
What is the value of (-2*4/8)/(4/4)?
-1
Calculate (-30)/20*(32/3)/(-4).
4
Evaluate ((-4)/10)/(((-189)/(-30))/9).
-4/7
((-10)/(-575))/(3/(-15))
-2/23
Evaluate 6/(-7)*(-131)/(-393).
-2/7
What is the value of 2/16*4*(-30)/(-135)?
1/9
Calculate 704/(-2640)*5/(-8).
1/6
Evaluate (-46)/69*18/(-4).
3
Evaluate (9/(-12))/(63/(-24)).
2/7
(-5)/((-5)/25*5)
5
Evaluate (175/(-21))/5*3.
-5
Evaluate 4/(-6)*93/248.
-1/4
What is 20/(-18)*11/(-55)?
2/9
What is (-3)/((-4)/(32/40))?
3/5
Calculate (20/(-40))/(2*(-12)/(-8)).
-1/6
Calculate (1/12)/((60/54)/10).
3/4
What is the value of (-2)/(-2)*232/(-406)?
-4/7
What is the value of (-20)/4*(-18)/90?
1
Evaluate (0/(9/(-3)))/(-2).
0
(78/(-13))/((-3)/2)
4
What is 10/4*((-18)/15) | {
"pile_set_name": "DM Mathematics"
} |
5 minutes after 8:52 AM?
5:47 PM
How many minutes are there between 11:21 PM and 3:47 AM?
266
What is 249 minutes after 3:28 AM?
7:37 AM
What is 655 minutes before 2:00 PM?
3:05 AM
What is 634 minutes before 7:53 AM?
9:19 PM
How many minutes are there between 1:20 PM and 9:33 PM?
493
What is 678 minutes after 8:14 PM?
7:32 AM
How many minutes are there between 5:51 PM and 4:19 AM?
628
How many minutes are there between 8:07 AM and 1:11 PM?
304
How many minutes are there between 1:48 AM and 8:56 AM?
428
What is 405 minutes after 9:18 PM?
4:03 AM
How many minutes are there between 7:54 AM and 1:18 PM?
324
How many minutes are there between 9:49 PM and 3:16 AM?
327
What is 322 minutes before 7:22 PM?
2:00 PM
How many minutes are there between 3:34 AM and 3:05 PM?
691
What is 341 minutes before 8:04 PM?
2:23 PM
How many minutes are there between 8:36 AM and 4:44 PM?
488
How many minutes are there between 3:52 PM and 3:39 AM?
707
How many minutes are there between 9:41 AM and 7:33 PM?
592
What is 558 minutes after 8:07 AM?
5:25 PM
How many minutes are there between 1:27 PM and 2:06 PM?
39
How many minutes are there between 10:10 PM and 1:06 AM?
176
What is 709 minutes before 3:30 AM?
3:41 PM
How many minutes are there between 10:59 AM and 7:39 PM?
520
What is 172 minutes before 3:32 PM?
12:40 PM
What is 240 minutes after 9:05 PM?
1:05 AM
How many minutes are there between 1:18 PM and 1:56 PM?
38
How many minutes are there between 9:45 AM and 6:13 PM?
508
What is 91 minutes before 12:24 PM?
10:53 AM
How many minutes are there between 9:16 AM and 1:50 PM?
274
How many minutes are there between 10:09 AM and 5:42 PM?
453
How many minutes are there between 8:34 AM and 3:13 PM?
399
What is 454 minutes before 5:32 AM?
9:58 PM
What is 137 minutes before 3:48 AM?
1:31 AM
How many minutes are there between 11:04 AM and 3:50 PM?
286
What is 662 minutes before 2:31 PM?
3:29 AM
What is 88 minutes after 3:43 AM?
5:11 AM
What is 631 minutes after 1:28 AM?
11:59 AM
How many minutes are there between 12:55 AM and 3:45 AM?
170
What is 101 minutes after 11:05 AM?
12:46 PM
How many minutes are there between 12:37 PM and 11:53 PM?
676
How many minutes are there between 1:35 PM and 8:38 PM?
423
How many minutes are there between 2:09 AM and 4:47 AM?
158
What is 670 minutes after 7:21 PM?
6:31 AM
What is 689 minutes before 3:40 AM?
4:11 PM
What is 328 minutes before 7:31 AM?
2:03 AM
How many minutes are there between 11:59 PM and 12:49 AM?
50
How many minutes are there between 5:48 AM and 3:55 PM?
607
What is 102 minutes before 2:46 PM?
1:04 PM
How many minutes are there between 5:10 AM and 11:48 AM?
398
What is 202 minutes before 9:05 PM?
5:43 PM
What is 36 minutes before 10:57 AM?
10:21 AM
What is 77 minutes after 11:51 AM?
1:08 PM
How many minutes are there between 10:11 AM and 12:33 PM?
142
What is 618 minutes after 4:13 AM?
2:31 PM
What is 327 minutes after 6:39 PM?
12:06 AM
What is 414 minutes before 10:09 PM?
3:15 PM
What is 166 minutes after 12:14 PM?
3:00 PM
What is 223 minutes after 5:59 PM?
9:42 PM
What is 517 minutes before 6:49 AM?
10:12 PM
How many minutes are there between 4:07 PM and 3:44 AM?
697
How many minutes are there between 4:00 PM and 9:04 PM?
304
How many minutes are there between 5:31 AM and 7:28 AM?
117
How many minutes are there between 9:21 AM and 2:21 PM?
300
What is 582 minutes before 3:46 PM?
6:04 AM
How many minutes are there between 10:30 AM and 9:57 PM?
687
How many minutes are there between 6:49 PM and 12:07 AM?
318
How many minutes are there between 5:08 PM and 11:42 PM?
394
How many minutes are there between 9:21 PM and 8:00 AM?
639
How many minutes are there between 7:45 PM and 4:52 AM?
547
What is 543 minutes before 11:30 PM?
2:27 PM
What is 139 minutes after 6:59 AM?
9:18 AM
What is 186 minutes after 7:00 PM?
10:06 PM
What is 44 minutes before 2:39 AM?
1:55 AM
What is 419 minutes before 9:19 AM?
2:20 AM
How many minutes are there between 12:19 PM and 2:06 PM?
107
How many minutes are there between 2:42 AM and 10:35 AM?
473
What is 69 minutes after 8:47 PM?
9:56 PM
What is 197 minutes after 9:27 AM?
12:44 PM
What is 51 minutes before 6:30 AM?
5:39 AM
How many minutes are there between 7:44 AM and 4:07 PM?
503
What is 387 minutes after 11:38 PM?
6:05 AM
What is 53 minutes after 1:17 AM?
2:10 AM
How many minutes are there between 5:29 AM and 10:08 AM?
279
How many minutes are there between 11:24 PM and 10:29 AM?
665
How many minutes are there between 4:55 PM and 12:37 AM?
462
What is 111 minutes after 6:22 PM?
8:13 PM
What is 115 minutes after 4:11 PM?
6:06 PM
What is 714 minutes after 3:09 AM?
3:03 PM
What is 91 minutes before 7:55 PM?
6:24 PM
What is 337 minutes after 7:08 AM?
12:45 PM
What is 418 minutes after 7:53 PM?
2:51 AM
What is 48 minutes before 3:54 PM?
3:06 PM
How many minutes are there between 5:01 PM and 4:28 AM?
687
How many minutes are there between 7:48 AM and 10:03 AM?
135
How many minutes are there between 10:07 PM and 4:07 AM?
360
How many minutes are there between 9:30 AM and 7:06 PM?
576
What is 153 minutes before 1:24 AM?
10:51 PM
What is 661 minutes after 6:17 AM?
5:18 PM
What is 203 minutes after 8:22 PM?
11:45 PM
What is 60 minutes before 6:33 AM?
5:33 AM
How many minutes are there between 10:24 AM and 5:20 PM?
416
How many minutes are there between 7:41 PM and 7:27 AM?
706
What is 342 minutes before 4:52 AM?
11:10 PM
How many minutes are there between 4:49 AM and 12:13 PM?
444
What is 92 minutes before 9:19 PM?
7:47 PM
What is 578 minutes before 9:16 PM?
11:38 AM
What is 581 minutes before 1:40 PM?
3:59 AM
How many minutes are there between 10:41 AM and 8:22 PM?
581
What is 688 minutes after 11:04 PM?
10:32 AM
What is 197 minutes before 12:17 AM?
9:00 PM
How many minutes are there between 3:04 AM and 10:52 AM?
468
What is 416 minutes after 10:36 AM?
5:32 PM
How many minutes are there between 12:26 AM and 9:33 AM?
547
How many minutes are there between 8:20 PM and 12:34 AM?
254
What is 62 minutes after 7:27 AM?
8:29 AM
What is 144 minutes after 5:19 PM?
7:43 PM
How many minutes are there between 10:12 PM and 3:44 AM?
332
How many minutes are there between 12:11 AM and 8:23 AM?
492
What is 67 minutes after 10:25 PM?
11:32 PM
How many minutes are there between 3:27 PM and 8:18 PM?
291
How many minutes are there between 3:58 PM and 5:14 PM?
76
What is 546 minutes after 4:02 AM?
1:08 PM
How many minutes are there between 7:08 AM and 10:32 AM?
204
What is 253 minutes after 3:12 AM?
7:25 AM
How many minutes are there between 3:47 AM and 10:51 AM?
424
How many minutes are there between 6:53 AM and 9:10 AM?
137
How many minutes are there between 12:22 AM and 4:33 AM?
251
What is 681 minutes after 12:59 PM?
12:20 AM
What is 304 minutes after 4:40 PM?
9:44 PM
How many minutes are there between 8:55 AM and 6:01 PM?
546
What is 243 minutes after 9:23 PM?
1:26 AM
How many minutes are there between 3:39 AM and 9:06 AM?
327
What is 325 minutes after 2:05 PM?
7:30 PM
What is 51 minutes before 11:33 PM?
10:42 PM
How many minutes are there between 5:10 PM and 10:33 PM?
323
How many minutes are there between 5:56 PM and 8:02 PM?
126
How many minutes are there between 4:36 PM and 3:58 AM?
682
How many minutes are there between 1:33 AM and 9:19 AM?
466
What is 467 minutes after 5:51 PM?
1:38 AM
How many minutes are there between 11:21 PM and 10:02 AM?
641
How many minutes are there between 4:20 AM and 10:46 AM?
386
How many minutes are there between 5:54 PM and 1:03 AM?
429
How many minutes are there between 2:09 AM and 9:56 AM?
467
What is 664 minutes after 3:50 AM?
2:54 PM
What is 703 minutes after 10:53 PM?
10:36 AM
What is 588 minutes after 11:40 AM?
9:28 PM
What is 56 minutes before 6:46 PM?
5:50 PM
How many minutes are there between 7:28 PM and 7:42 PM?
14
How many minutes are there between 3:59 PM and 7:14 PM?
195
How many minutes are there between 4:49 AM and 1:37 PM?
528
What is 195 minutes before 3:14 AM?
11:59 PM
What is 153 minutes after 8:38 AM?
11:11 AM
How many minutes are there between 4:46 PM and 4:14 AM?
688
How many minutes are there between 12:41 PM and 7:42 PM?
421
What is 318 minutes before 6:04 PM?
12:46 PM
What is 605 minutes before 4:21 AM?
6:16 PM
What is 92 minutes before 9:12 PM?
7:40 PM
How many | {
"pile_set_name": "DM Mathematics"
} |
(a - 0). Put -5, d, h in descending order.
d, h, -5
Let z be 22*(14/(-196))/((-4)/14). Let v = 0.036 - 0.236. Put v, -0.4, z in decreasing order.
z, v, -0.4
Let w = -30 - 9. Let r = 37 + w. Put r, -2/7, 2/3, 1 in increasing order.
r, -2/7, 2/3, 1
Let q = -13774 + 13769. Let j = 0.8 - -3.2. Put -4, 0.1, q, j in decreasing order.
j, 0.1, -4, q
Let v = 65 + -60. Let i = 22.2 + -20. Put v, i, -4 in decreasing order.
v, i, -4
Suppose 4 = 3*c - 5. Suppose 4*v = 40 + 8. Let n be 18/24 - 45/v. Sort c, n, 6 in decreasing order.
6, c, n
Let r = -2.308 - -2.348. Sort r, -29, -0.4, -2/15 in ascending order.
-29, -0.4, -2/15, r
Let j = -211 + 635/3. Let t = -4.4 - -4. Sort j, -2/7, t in increasing order.
t, -2/7, j
Let a = -36 - -39. Let u(o) = -o**3 + o**2 + o + 5. Let d be u(0). Suppose d*z - 1 = 4. Sort 5, a, z.
z, a, 5
Let h = -86.9 - -173.3. Let v = h - 86. Sort v, -0.1, -0.06.
-0.1, -0.06, v
Let h be 6 + -5 + 8 + -5. Let k = 0.7 + -1. Sort 3, h, 1/5, k in descending order.
h, 3, 1/5, k
Let s = -393/1604 - 2/401. Put 1, -8/7, -2, s in decreasing order.
1, s, -8/7, -2
Let i(y) = -y**2 + y + 58. Let d be i(8). Put d, 1.97, 0.5, 2/9 in ascending order.
2/9, 0.5, 1.97, d
Suppose 2*d - 4*f + 24 = 7*d, d - 2*f - 2 = 0. Suppose k = -d*v - 12, -3*k - v + 6 = -3*v. Sort 11, k, 5 in descending order.
11, 5, k
Let m = -0.2 + 0.1. Let z = 2 - 1/3. Let c = z + -1. Put m, c, 2 in ascending order.
m, c, 2
Let a be -7 + 15/5 - (-12 + 4). Put -1, a, -67, -5 in descending order.
a, -1, -5, -67
Let t(z) = -5*z + 23. Let l be t(5). Sort -1, 3, l, -9 in ascending order.
-9, l, -1, 3
Let d(t) = -10*t + 5. Let o be d(2). Let j be o/(-3) + -3 + 0/(-6). Put 3, j, -3/4 in ascending order.
-3/4, j, 3
Let c be -2*((-40)/(-16) + -2). Put c, -6/5, 13/2 in descending order.
13/2, c, -6/5
Let z = -1174/9 - -136. Let f = z + -368/63. Suppose -2*v + 5*v - 12 = 0. Sort 3/7, f, v in descending order.
v, 3/7, f
Let s = 8.912 + -9. Sort 0.5, s, 2/3 in increasing order.
s, 0.5, 2/3
Suppose -4*w - 16 = 4*p - 2*p, -12 = -3*p. Let l be (w/1)/((-9)/6). Sort 0, -5, l in descending order.
l, 0, -5
Let d = 0 + 0. Let t be (-12)/(-33) + 867/187. Put t, -2, -4, d in descending order.
t, d, -2, -4
Let y = 110 - 106. Suppose 0 = 4*r - 7*r + y*r. Put -4, -2, r, 4 in descending order.
4, r, -2, -4
Suppose 0 = 5*s + 1 - 21. Suppose 4*x = -3*b + b - s, -4*b = -x - 1. Let h = 2.5 + -2. Put 1, b, h in ascending order.
b, h, 1
Let d = 22 + -64. Let i = 41.5 + d. Let p be 2/(9 - 0/2). Sort i, -2/7, p.
i, -2/7, p
Let d = 4.9109 + 0.0891. Sort 13, -0.01, d, -5.
-5, -0.01, d, 13
Suppose -325 = 6*k - 71*k. Sort 4, -20, k in decreasing order.
k, 4, -20
Let i = -3437.979 - -3440. Let d = i + -0.021. Put 2/11, 0.3, d, 0 in decreasing order.
d, 0.3, 2/11, 0
Let i = 0.13 + 0.27. Let g(c) = -c**2 - 11*c - 25. Let y be g(-7). Sort -1/2, y, i.
-1/2, i, y
Let a = 0.092 - -18.108. Let b = 19 - a. Sort 1, b, 0.3.
0.3, b, 1
Let o = 1/2 - 5/18. Sort -1/4, o, 0.36 in descending order.
0.36, o, -1/4
Let y = 124 - 124. Sort y, -4, 29.
-4, y, 29
Suppose 21 = -3*m - 24. Let n be ((-36)/m)/(-4)*97. Let k = n + 58. Sort k, 5, -0.1.
k, -0.1, 5
Let z = -163 + -27. Let l = z + 190. Suppose 5*d + 2*u = -15, -8 = -3*d - 4*u - 3. Sort d, 11, l.
d, l, 11
Suppose 3*p + 2*a = 13, 0 = 3*a - 6 - 0. Suppose 0 = -3*c - p*c - 30. Put c, 0.06, -1 in decreasing order.
0.06, -1, c
Suppose -46 = -3*q - i - 163, 6 = 2*i. Let j be (32/q)/(1/(-10)) + -3. Put -2, 6, j in increasing order.
-2, j, 6
Let i = 17.73 + -17.77. Put i, 1, 0.038 in descending order.
1, 0.038, i
Suppose 3*s + 40 = -5*s. Let l = 3 - 1. Suppose l*i - 4*c + 5 = -1, 3*i = -5*c + 24. Sort s, 0, i.
s, 0, i
Let u = -24 - -41. Suppose u = 4*t + 5. Sort t, -5, 3/7 in ascending order.
-5, 3/7, t
Let r = 12 - 12. Let s be r/(((-1)/(-1))/(-1)). Put -9, s, -5 in descending order.
s, -5, -9
Let o = 17 - 15.8. Let w = o + -10.2. Let v = w + 8.9. Put v, -6/7, -2/3 in descending order.
v, -2/3, -6/7
Suppose 8 = 3*o + 3*j - 10, -o + 8 = 3*j. Let m = -4736 + 4731. Put 1, o, -1, m in decreasing order.
o, 1, -1, m
Let s(a) = a - 9. Let f be s(-9). Let b = -15 - f. Suppose j + b*j + 8 = 0. Sort j, -2/7, -1 in decreasing order.
-2/7, -1, j
Suppose -u - 22 = -m, 5*m + 3*u - 45 - 33 = 0. Let q(n) = -n**3 - 3*n**2 + 3*n + 4. Let k be q(-3). Sort -3, k, m.
k, -3, m
Let h be (-6)/(-3) - (-64)/(-30). Let y be (2*4/(-56))/((-4)/(-8)). Let d = 1 + 4. Sort y, d, h in ascending order.
y, h, d
Let z = 59.35 + -0.35. Let p = -59.3 + z. Put -1/3, -0.1, p, 0 in increasing order.
-1/3, p, -0.1, 0
Let o be (0 - -2 - -4)/(-2). Suppose 44*f - 43*f - 3 = 0. Put f, -1, o in descending order.
f, -1, o
Suppose -2*p + u = 16 - 40, 8 = 2*p - 5*u. Suppose -14*o = 84 - p. Let r(x) = -x**3 - 4*x**2 + 4*x - 3. Let n be r(-5). Sort o, 0.1, n in decreasing order.
n, 0.1, o
Let i = -41 + 52. Sort 0.4, i, 5 in decreasing order.
i, 5, 0.4
Let w = -18 + 23. Let s be (32/12)/(1 - 10/6). Put s, w, -3, 0 in descending order.
w, 0, -3, s
Let z(g) = g**3 - 3*g**2 + 3*g - 2. Let q be z(2). Let m(c) = -3*c. Let t be m(-8). Let f = 19 - t. Sort -2, f, q.
f, -2, q
Let v be ((-4)/(-54))/(17/(-51)). Let o(r) = 2*r**3 + 11*r**2 - 7*r - 1. Let a be o(-6). Put -1/8, a, -1, v in descending order.
a, -1/8, v, -1
Suppose -20*i + 20 = -15*i. Sort 1, -5, i, -8.
-8, -5, 1, i
Let h be (-3*(-4)/36)/((-9)/(-81)). Sort h, 2, 4, -4 in ascending order.
-4, 2, h, 4
Let k be (-54)/(-15) + 21/(-6). Put -0.3, 4, k in increasing order.
-0.3, k, 4
Let x = 35.1 - 31. Let d = x - 3. Let t = -1.4 + d. Sort 5, -0.2, t in decreasing order.
5, -0.2, t
Suppose 227 = -5*i + 217. Sort 1, 19, i in decreasing order.
19, 1, i
Let z = -1.9771 - 0.0229. Put 2, z, -4, -0.21 in descending order.
2, -0.21, z, -4
Let c = 519 + -1559/3. Sort -2, c, -24, 0.4 in decreasing order.
0.4, c, -2, -24
Suppose 0*u - 4*u + 5*p - 25 = 0, 3*u = -4*p + 20. Let f(q) = -q**3 + 9*q**2 - 11*q + 11. Let k be f(8). Let l = k - -14. Sort u, 3, l in ascending order.
u, l, 3
Let f be (-11)/(-4) - (-1)/(-4). Let j be (-8 + 272)*(-12)/16. Let m = j - -193. Sort f, 0.4, m in descending order.
f, 0.4, m
Let o be (-3 - 126/(-44))*8/(-6). Let m = -72 - -67. Put -1/8, m, -0.1, o in decreasing order.
o, -0.1, -1/8, m
Let z = 3.6 + -3.8. Let m = 3.63 + 3.37. Sort 1/3, z, m, -1/2 in decreasing order.
m, 1/3, z, -1/2
Let u = 5 + -4.85. Let d = 0.05 - u. Let z = d - 0.2. Put z, 3, 0 in descending order.
3, 0, z
Let i(s) = -s. Let l be i(-5). Suppose -23 = -l*x + 3*f, -f - 3 = 2*x - 10. Suppose 1 = -5*q + 4*k - 7, -q - 2*k = -x. Sort q, 2, -5 in decreasing order.
2, q, -5
Let u be 10*2/20*11. Sort -6, u, 1 in decreasing order.
u, 1, -6
Suppose 25*d = d - 48. Suppose n - 4*b = -20, 0*b = -3*n + 2*b - 20. Sort n, 4, 0, d in ascending order.
n, d, 0, 4
Let o = 30.76 + -31. Let b = o - -0.34. Put -5, b, 3/5 in increasing order.
-5, b, 3/5
Suppose 3 = -y, -y = 3*c - 4*y. Let g = 606 + -609.43. Let h = g - -3.4. Sort h, c, -2 in decreasing order.
h, -2, c
Let k be 1 - ((0 - 1) + 4). Suppose 0 = -5*n + 2*b - 21, -2*n - 15 = -15*b + 12*b. Sort 4, k, n, 3.
n, k, 3, 4
Suppose -l - 9 = -3*i + 7*i, 9 = 3*l. Let q = -4 + 1. Let b = q + 2. Sort i, 5, b.
i, b, 5
Let x = -205 - -193. Let z = -15.5 + 16. Sort z, x, 2/9 in decreasing order.
z, 2/9, x
Let y be -12 - (-2 - -1) - 0/1. Let r be 4*12/16 - 0. Put y, r, 4 in increasing order.
y, r, 4
Let m = 197/12 - 415/36. Put -0.3, 5, m in decreasing order.
5, m, -0.3
Suppose 3*l = 5*h - 3, 0 = 2*h + l - 0 - 10. Let n = 2 + -1. Let a be n*4/2 - 2. Put h, -1, a in decreasing order.
h, a, -1
Let v = 14 + -17. Let u = v + 9/4. Put u, 0.03, 2 in descending order.
2, 0.03, u
Let o = -1.819 - -1.699. Sort o, 5, 0.25 in ascending order.
o, 0.25, 5
Suppose -53*r = -35*r - 54. Sort 13, -1, -3, r.
-3, -1, r, 13
Let d = -33 + 28. Sort 5, -4, d, 1 in descending order.
5, 1, -4, d
Let y = -39 + 39. Let q(s) = -s**3 - 7*s**2 - 5*s + 1. Let g be q(-6). Let f be -2 - g - (-1 + 1). Sort y, f, -2 in ascending order.
-2, y, f
Suppose 4*z - 10 = -2*d - d, -2*z - 5*d = 2. Let w = 245/1062 + -1/118. Suppose -5*l - 2*v = 9, 12 = l + 4*v + 3. Put w, z, l in ascending order.
l, w, z
Let k(d) = -d**3 + 9*d**2 + d + 2. Let q be k(9). Suppose 2*g + g = -3*o + 21, -3*o + q = g. Let x be (0 - 1) + 0 + 0. Sort x, 0.2 | {
"pile_set_name": "DM Mathematics"
} |
*g + 27, 0*g - 19 = -o + 4*g. Let a(u) = -u**3 - 2*u - 1. Let s be a(o). Let j(x) = 3*x**2 - 2. Is j(s) a prime number?
False
Suppose 0*h + 225 = 3*h. Suppose 114 = 2*s + 3*k - 4*k, s = -4*k + h. Is s prime?
True
Let t be (7 + -2)/(1/2). Let y = t + -6. Suppose 0 = -y*z + 5*z - 13. Is z a composite number?
False
Suppose -3*x - 6 = -0*x. Let m be (-3)/x + (-6)/4. Suppose -3*g + 104 = v, m = -g - 7*v + 2*v + 30. Is g a prime number?
False
Suppose -25 + 4 = -3*z. Is z a prime number?
True
Let v(r) = 25*r + 5. Let j be v(5). Let b(n) = 61*n**3 - 2*n**2 + n + 1. Let x be b(-1). Let y = j + x. Is y a composite number?
False
Let h = -2 + 4. Suppose 5*n = h*n + 3. Let r = n - -9. Is r composite?
True
Let z = 1654 - 740. Is z prime?
False
Let h be (2 - 3)/((-2)/6). Let k be (h + (-15)/3)*-11. Suppose u = -u + k. Is u a composite number?
False
Suppose -166 = -5*c + 5*v + 254, 3*c = 2*v + 253. Is c a prime number?
False
Suppose -3*u + 50 = 2*u. Let n = u + -7. Is 58/n - (-2)/(-6) a prime number?
True
Let m be (-3 + 10/5)*-67. Let g = 28 - 12. Let s = m - g. Is s prime?
False
Let t = -172 + 759. Is t prime?
True
Let j = 1 + -3. Let g = 3 - j. Suppose -4*a + g*a = 127. Is a composite?
False
Let q = 139 + -84. Is q a composite number?
True
Suppose 0 = -q - 2*q + 885. Is q composite?
True
Suppose 5*z + 2*s - 14 = -0*s, -2*z = -4*s - 20. Suppose -z = 7*j - 3*j. Is j + -8*-2*1 prime?
False
Let d(k) be the third derivative of k**5/60 + k**4/6 - 3*k**3/2 + 4*k**2. Suppose -7 - 17 = -4*v. Is d(v) a composite number?
True
Is (-1866)/(-7) - 45/(-105) a prime number?
False
Let p be (-4)/14 + 176/28. Let l = p - -1. Let w(q) = 10*q - 1. Is w(l) a composite number?
True
Suppose -n - 299 = -2*n. Is n composite?
True
Let y be 68 + -4 + 3 + 0. Let p = y - 48. Is p prime?
True
Suppose 3*c - 737 - 22 = 0. Is c prime?
False
Suppose 0 = 3*v - 4*l + 26, v + 3*l - 2 = 11. Let h = v + 17. Let i = 24 - h. Is i composite?
True
Suppose -2*q + 1161 - 321 = 0. Suppose -4*v = x - 351, 3*v - q = -2*v - 5*x. Is v a prime number?
True
Let b be ((-3)/(-6))/(3/18). Suppose -8 + 2 = -b*n. Suppose -z + 39 = n. Is z a prime number?
True
Is (-2)/7 + (-4800)/(-140) a composite number?
True
Let p = -146 - -553. Is p a composite number?
True
Suppose -2*i + 5*h = -25, 7*i + 4*h - 8 = 3*i. Suppose -2*b = 23 + i. Is (-1 + 3)/(b/(-1043)) composite?
False
Let f(q) = 4*q**2 + 16*q + 6. Let t be f(13). Suppose t = 5*u + 195. Is u composite?
False
Let k = 272 + -85. Is k prime?
False
Suppose 4 = 5*k - 31. Is k composite?
False
Let r(a) = a**3 + a**2 + a + 29. Suppose 3*o + 4*s = -2*o, -3*o = 3*s. Let c be r(o). Let t = c + -14. Is t composite?
True
Suppose 0 = -2*b - 5*f + 185, 2*b + 50 = -2*f + 226. Is b a composite number?
True
Let c(b) = 24*b**3 + 2*b**2 - 2*b + 2. Let t be c(2). Suppose 5*u - t - 47 = 0. Is u a prime number?
False
Let b(d) = -d**2 - 16*d + 5. Let g be b(-10). Let r be (6 - -1)/(1/6). Let l = g - r. Is l a composite number?
False
Let l(z) = z**2 + 2*z + 2. Let w(m) = 4*m**3 + m**2. Let h be w(1). Let n be l(h). Suppose -r + n = -0*r. Is r prime?
True
Suppose -3*d - 21 = -2*d. Let l = 40 + d. Is l prime?
True
Let x(j) = j - 5. Let g(v) = -3. Let h(q) = -3*g(q) + 3*x(q). Is h(7) a prime number?
False
Suppose 0 = -0*j - 4*j - c + 4278, -c + 3209 = 3*j. Is j composite?
False
Let u(d) = 7*d + 2819. Is u(0) a prime number?
True
Let c(r) = -r + 6. Let l be c(5). Let w be -9*(l + (-3 - -3)). Is 4/18 - 196/w a prime number?
False
Suppose 0*y + 4*y - 1580 = 0. Is y a composite number?
True
Let o(h) = 7*h + 6. Let l be o(-5). Let b be (1 - -5)/((-2)/l). Suppose -2*k + 46 = 4*y - 3*y, 0 = 3*k - 3*y - b. Is k prime?
False
Let g be 2/(-4) - 1039/(-2). Let c be 1 - g*(2 + -3). Suppose 2*s + 5*o = 159, 5*s = 5*o + c - 210. Is s a composite number?
False
Let x = 3 - 2. Let h be -28 + (-1 - -1)*x. Let o = 57 - h. Is o a composite number?
True
Suppose 2*o - o = 6. Suppose 78 = 3*u - 0*n + 3*n, u + 5*n - o = 0. Let q = 7 + u. Is q a prime number?
False
Let g be 7/(-21) + 1/3. Suppose 0 = 3*v - g*v - 33. Is v composite?
False
Suppose 3*o - 15 = 3. Let y be (-1)/(-3)*(o - 0). Suppose 4*w = -0*x + y*x + 6, 0 = w + 3*x - 12. Is w a composite number?
False
Let z = 7 - 5. Let w(j) = 2*j**3 + j**2 - j + 1. Is w(z) prime?
True
Let b be (-2)/(-1 - -3) - -27. Let j = b - -63. Is j composite?
False
Let l be 108/(-26) + (-2)/(-13). Is (326/4)/((-2)/l) a prime number?
True
Let c = 2 + 2. Suppose c = 4*d, -2*u + 5*d = 2*d + 3. Suppose -2*z = -u*z - 106. Is z composite?
False
Let i(m) = m - 2. Let s be i(8). Suppose 0 = -3*b + 18. Suppose -8 = 3*a + s*n - 2*n, -a - 2*n = b. Is a a prime number?
False
Suppose -4263 = -12*f + 3357. Is f composite?
True
Suppose 3*w - 1470 = 3*m, 0 = -3*w - 0*m - 3*m + 1452. Is w a prime number?
True
Suppose 0 = c - 19 - 3. Let s be ((-1)/(-1) - 2) + 0. Let u = s + c. Is u composite?
True
Suppose 0 = -q - q. Suppose 0 = x - 1 - 1. Suppose -j + q = 2*z - 9, 0 = -2*j - x*z + 28. Is j a prime number?
True
Let c(r) = r**3 + 8*r**2 + 8*r + 7. Let v be c(-7). Suppose k + v*k = 89. Is k prime?
True
Suppose -3*o = v + 461 - 1232, -o - v = -257. Is o prime?
True
Is (-208)/(-10) + 19/95 composite?
True
Let h be (-4)/(-10) + 16/10. Let y(x) = 48*x + 1. Is y(h) a prime number?
True
Let b = 125 + 344. Is b composite?
True
Suppose 9 = -5*o - 1. Let s be -2 + (-6)/o + 6. Let m = -4 + s. Is m a prime number?
True
Suppose -5*o + 1 = 4*h, 0*h + 3*h + 5*o = 7. Let c be h/(-1) - (-8)/(-4). Suppose 5*j = -c*l + l + 250, -5*j + 5*l + 290 = 0. Is j a prime number?
True
Suppose -4*l + 1365 = -3*q, -4*q - 2*l = -3*l + 1820. Let y = q - -802. Is y a composite number?
False
Suppose -2*u + 8 + 6 = 0. Suppose 3*m - 8 = u. Suppose -g - 19 = c - 6*c, 5*c = m*g - 5. Is g a prime number?
False
Let a = 22 + -8. Let q = 27 - a. Is q a composite number?
False
Let c be 22/8 + (-2)/(-8). Let k be ((-3)/c*7)/(-1). Is (k/2)/((-3)/(-6)) prime?
True
Let a = 211 + -90. Is a composite?
True
Let v(k) = 374*k - 7. Is v(3) prime?
False
Let c(a) = 84*a - 5. Is c(4) a prime number?
True
Let x(u) = 4*u - 19. Is x(14) prime?
True
Let m be -4 + 3 + 1*13. Suppose 3*b + 0*b = -m. Is (-3 - b)*1*37 a composite number?
False
Let g = 179 - -128. Is g prime?
True
Let u = -87 + 53. Suppose -5*j = -4*j - 35. Let s = j - u. Is s prime?
False
Suppose -63 - 4 = -n. Is n prime?
True
Suppose z + 2494 = 3*z. Is z composite?
True
Suppose -s - x = -1364, 0 = -2*s + 6*s + 5*x - 5459. Is s a composite number?
False
Let x = -629 + 1076. Is x a prime number?
False
Let q(s) = -2*s - 20. Let g be q(-14). Let c = g - -6. Is c a prime number?
False
Let s be (-6)/(-5) - (-4)/(-20). Let j be (1 + 0)*s + -73. Let t = j + 125. Is t a composite number?
False
Let w(h) = 2*h + 1 - 4 - 3*h. Let x be w(-5). Suppose -2*d - 54 = -3*q - q, -x*d - 10 = 0. Is q prime?
True
Let s(n) be the first derivative of n**2 + 1/3*n**3 - 2 + n - 11/4*n**4. Is s(-1) a prime number?
True
Let r = 27 - 17. Let i(d) = -d + 14. Let v be i(r). Suppose x - 20 = 2*f - 7, 0 = -x - v*f - 5. Is x prime?
True
Let v be (0 - 3) + 13 + -9. Let d(c) = 204*c**2 - c. Is d(v) a composite number?
True
Let g(x) = -560*x**2 + x. Let y be g(1). Let o = 794 + y. Is o prime?
False
Suppose 2*i - 115 = 211. Let s = i - 14. Is s a composite number?
False
Is (1556/(-6))/(22/(-33)) a composite number?
False
Let w be ((-1 - -2) + 0)*-7. Let m = -2 - w. Suppose -3*k - 258 + 1031 = -m*f, -2*f + 494 = 2*k. Is k composite?
False
Let r(n) = n + 2. Let x be r(2). Suppose -3*o + 13 = -w, 0 = x*o + o + 5*w - 35. Suppose -o*c = -110 + 15. Is c prime?
True
Let f be 4/(-6)*(6 + -9). Is 83/(f + 2/(-2)) composite?
False
Suppose -91 - 58 = -2*o - 3*l, -2*o - 5*l = -159. Is o a composite number?
False
Let t be 1/2 - (-7273)/(-14). Let x = t + 778. Is x prime?
False
Suppose 0*k + 3*k = 471. Is k prime?
True
Suppose w - 3*w = 0. Suppose 7*k - 370 = -u + 2*k, w = -u + 4*k + 415. Is u composite?
True
Suppose -3*j = -7*j + 8. Suppose -j*b + 5 = 1. Suppose 28 = 6*p - b*p. Is p composite?
False
Let w = 118 - 79. Suppose 0*t - t + w = 0. Is t a prime number?
False
Let j = 140 - 57. Is j composite?
False
Suppose -2*p - 5 = -5*o + 2*o, 0 = -3*p - 5*o + 21. Suppose 153 = n - 0*k + p*k, 3*n - 419 = 4*k. Is n prime?
False
Let t(k) = -3*k - 1 - | {
"pile_set_name": "DM Mathematics"
} |
- 13 = 0. Let f(t) be the third derivative of t**5/60 + t**4/8 + t**3/2 + t**2. What is the units digit of f(w)?
7
Let t(i) = -i**3 + 6*i**2 - 5*i - 6. Let n = -9 - -14. Let k be t(n). What is the units digit of (k/(-4))/(27/342)?
9
Let d be 1*41 - 4/(-4). Let w(a) = -d - a + 54 + 2*a. What is the units digit of w(-7)?
5
Let z(l) be the third derivative of -7*l**4/8 - l**3 + 10*l**2. What is the tens digit of z(-2)?
3
Let u be (1 + -4)/(12/(-16)). Let w(x) = -x + 5. Let a be w(u). Let j = a - -7. What is the units digit of j?
8
Let v = -4 - -8. Suppose v*r - 7 = -5*s, -5*r - 11 + 1 = 0. Suppose -s*m + 2*k + 14 + 12 = 0, -5*k + 25 = 0. What is the units digit of m?
2
Suppose 3*t - 6*t + 1704 = -5*b, -4*t + 2283 = -3*b. What is the units digit of t?
3
Suppose 3*u + 2*u = 3*c - 24, u = 4*c - 15. Let w be -1 + 5 + (89 - u). Suppose 5*t - w - 114 = 0. What is the units digit of t?
2
Let u = 146 - 115. Let v be (-162)/21 - (-2)/(-7). Let g = u + v. What is the tens digit of g?
2
Suppose 5*t = 3*h + 1035 + 1157, -t - h + 432 = 0. Suppose -5*m + 218 = -3*m + c, -t = -4*m + 4*c. What is the tens digit of m?
0
Suppose 4*l - 13 = -1. Suppose 210 = l*y + u, 3*u - 4 + 64 = y. What is the units digit of y?
9
Suppose 119 - 14 = 7*u. Suppose -4*x - 528 = -u*x. What is the units digit of x?
8
What is the tens digit of ((-76)/16)/(-19) - 3398/(-8)?
2
Let c(u) = -u**3 + 32 - 2*u**2 - 28 + 3*u**2. Let z be (0 + (-2 - -2))/1. What is the units digit of c(z)?
4
Suppose -2*y + 953 - 199 = 0. What is the tens digit of y?
7
Let y = 1255 - 732. What is the tens digit of y?
2
Let h(d) = d + 2. Let v be h(-2). Let s be 1 - (-68)/(-4) - v. What is the units digit of 1/(-2)*(s + 6)?
5
Let v = -1655 - -2555. What is the hundreds digit of v?
9
Let f(n) = 67*n - 85. What is the units digit of f(2)?
9
Let s = -569 + 844. What is the hundreds digit of s?
2
Let i = -32 + 195. What is the hundreds digit of i?
1
Let d(y) = 6*y**2 + y**2 + 16 - 5*y - 19 - y**3. Suppose 10*o = 5*o + 10, -10 = -5*m + 5*o. What is the tens digit of d(m)?
2
Suppose -11700 = -5*o + 4*v, -v = -3*o - 1481 + 8508. What is the hundreds digit of o?
3
Suppose -3*b = -5*s - 22, 5*s = 5*b - 41 + 11. Suppose q + y - b*y = 178, 0 = -q + 2*y + 179. What is the hundreds digit of q?
1
Suppose v + 20 = 5*v. Suppose v*p + 3*s = 4*s + 4, 5*p = 2*s + 3. Let h = p + 4. What is the units digit of h?
5
Suppose 0*m + 2*m = 3*o - 1108, 1660 = -3*m + 5*o. What is the tens digit of (1 - 0) + m/(-14)?
4
Let s = -8992 + 13522. What is the thousands digit of s?
4
Let l = 2134 - 1488. What is the hundreds digit of l?
6
Suppose -3*k - 3*s = 78, 9*k - 3*s = 4*k - 98. What is the tens digit of (k/33)/((-6)/333)?
3
Let m(d) = d**2 + 2*d - 5. Let y be m(-4). Let g(v) be the second derivative of v**3/3 - 2*v**2 + 4*v. What is the units digit of g(y)?
2
Suppose x + 8 = 4*q, -16 = -3*x - 3*q + 5. Suppose 5*f - x*v = 22, 0*v - 11 = -4*f + v. What is the units digit of f?
2
Suppose 2*z - 24 = 6*z. Let s = z - -8. Let f(a) = a**3 + 4*a**2 - 5*a. What is the units digit of f(s)?
4
Suppose -2*v - 2*p + 1260 = 0, -v = 3*p - 423 - 197. What is the tens digit of v?
3
What is the hundreds digit of (4080/112)/(3/21)?
2
Let s be (-190)/(-25) - 6/(-15). Let y = -4 - s. What is the tens digit of (y/24)/(1/(-98))?
4
Let i(z) = -36*z + 23. What is the tens digit of i(-9)?
4
Let w = 2315 + -1193. What is the units digit of w?
2
Suppose -61*y + 6*y + 95920 = 0. What is the tens digit of y?
4
Let t(v) = 66 + 0 - 14 - 5*v. What is the units digit of t(-9)?
7
Let i(h) = -9*h - 10. Let m(n) = -n - 1. Let c(y) = i(y) - 3*m(y). Suppose 2 = 4*j + 26. What is the units digit of c(j)?
9
Let p be (-4 + (6 - 3))*0. Suppose f = -2*y + 10, p = 2*f + f - 4*y + 10. Suppose -8 = -f*x + 26. What is the tens digit of x?
1
Let o(t) be the first derivative of 9 - 28*t**2 + 11*t**2 + t + 11*t**2. What is the tens digit of o(-1)?
1
What is the tens digit of (7 - 91/14)/((-2)/(-1792))?
4
Let g = -733 + 1516. What is the hundreds digit of g?
7
Let s(n) = n**3 - 7*n**2 + 6*n - 12. Let y be s(8). What is the tens digit of y - 4*(-5)/(-20)?
9
Let v = 1771 + -1231. Suppose x + 5*x - v = 0. What is the units digit of x?
0
Suppose -3*s - 17 = n + 4*n, 0 = 4*s + 5*n + 16. What is the units digit of (s + -2)/(-2)*106?
3
Suppose 32 - 11 = -7*s. What is the units digit of -3 - s/1 - 178/(-2)?
9
Suppose -2*f = 10, f = -2*s - 7 + 2. Let b be s/((-4 - -2)/2). Suppose 0*y - 3*y + 24 = b. What is the units digit of y?
8
Let d(t) = -7*t**3 - 2*t**2 + t + 10. What is the tens digit of d(-5)?
3
Let b(r) be the first derivative of r**3/3 + r**2/2 + 25*r - 8. Let s be b(0). Let i = -18 + s. What is the units digit of i?
7
Let n = -45 - -19. Let p = 24 + n. What is the units digit of ((-8)/p - 8)/(-2)?
2
Let z(m) be the second derivative of m**4/3 + m**3/2 - 2*m**2 + 2*m. Let r be z(-3). Suppose 0 = 2*l - r - 39. What is the units digit of l?
1
Let a(d) = -d**2 + 2*d + 9. Let m be a(4). Let r(i) = -20*i + 6*i**3 + 1 - i**2 + 20*i. What is the units digit of r(m)?
6
Suppose 7 = 2*t - 3*z, -1 = t + z + 2*z. Suppose 5*l + t*k - 123 = 0, -5*k = 6 - 26. What is the units digit of l?
3
Suppose -48*t + 63120 = -0*t. What is the units digit of t?
5
Let f = -197 + 141. Let j = f + 149. What is the units digit of j?
3
Suppose 14*a + 1470 = 21*a. What is the hundreds digit of a?
2
What is the hundreds digit of (1 + 3 + -9 + 303)*4?
1
Let i be (-374)/14 - -1 - 48/168. What is the units digit of (-5)/15 - i/6?
4
Suppose q = -q - 36. Let h be (q/5)/((-4)/10). Let w = h - 5. What is the units digit of w?
4
Let b(d) = -d - 1. Let c(j) = 7*j + 3. Let n(g) = 6*b(g) + c(g). Let k be n(3). Suppose -3 = -k*t - t. What is the units digit of t?
3
Let w = 10 - 8. Let o be w/13 - 287/91. What is the tens digit of (-4 - -1)*(o - 9)?
3
Suppose -127 + 777 = 25*j. What is the tens digit of j?
2
Let c = 1228 - 513. Let l be (-4)/(-14) + c/(-77). Let d = l + 18. What is the units digit of d?
9
Suppose 5*d - 4*a = -84, -2*d - a - 15 = -d. What is the tens digit of (19 + d)*118/6?
5
Let q = 2 + -11. Let m be (-8)/(-6)*q/(-6). Suppose 2*g + 4*s - 5 = 11, m*g = -2*s + 12. What is the units digit of g?
4
What is the units digit of (1732/(-6))/(6*7/(-63))?
3
Let j(f) = -2820*f + 20. What is the hundreds digit of j(-1)?
8
Let k(s) = 3*s**2 - 3*s + 2. Let z be k(3). Suppose 52*h = 54*h + 186. What is the tens digit of (-5)/z + h/(-4)?
2
Let g(z) = -z**2 - 12*z + 1. Let j be g(-12). Let k(s) = s**2 + s**2 + j + 9*s + 4 + 0*s**2. What is the tens digit of k(-6)?
2
Suppose -4*d = -n + 1206, -3*n + 4*d - 8*d = -3666. What is the tens digit of n?
1
Let r = -19 + 24. Suppose o = 10 - r. What is the units digit of (-75)/o*4/(-6)?
0
Let a(t) = 0*t + 3*t - t**2 - 7 + 3*t**2 + t. What is the tens digit of a(-7)?
6
Let i(m) = m**3 - 11*m**2 - 28*m + 3. What is the hundreds digit of i(16)?
8
Let n = -972 + 1569. What is the tens digit of n?
9
Suppose 7*h - 880 = 2*h - 4*k, -5*k = -3*h + 528. Suppose f = -4*z - 8 + 332, 2*z - h = -4*f. Let i = -44 + z. What is the tens digit of i?
3
Let x(t) be the second derivative of -t**4/12 - 5*t**3/6 - t**2 - 5*t. Let s be x(-6). What is the units digit of (-2)/s + 86/8?
1
Let t(q) = q**3 - 2*q**2 - 8*q + 4. Let z be t(4). Let d be 47 + (z/1 - 6). Suppose -6*p = -5*p - d. What is the tens digit of p?
4
Suppose -1908 + 6 = -4*x + 2*p, -5*p - 15 = 0. What is the units digit of x?
4
Let b = -9 - -57. Suppose -6*d = -216 - b. What is the tens digit of d?
4
Suppose -26*s + 92680 = 27602. What is the thousands digit of s?
2
Suppose 5*y = 3*w - 1397, -5*w - 2*y + 1854 = -w. What is the units digit of w?
4
Let k = -114 - -165. Suppose 2*z = -3*z - 3*u + 117, 3*u + k = 3*z. What is the tens digit of z?
2
Let n(t) = -3*t - 39. Let r be n(-23). Suppose 76 = v - r. What is the tens digit of v?
0
Suppose 2*x = -9 + 25. Let l = x - -23. What is the tens digit of l?
3
Let b(u) = 6*u**3 - 2*u**2 + u. Let g be b(1). What is the tens digit of (-118)/(-4)*(g - 3)?
5
Suppose -2*g = -7*g + 280. Suppose -l - 4*q = l - 168, -5*q = -l + g. What is the units digit of l?
6
Let q(m) be the second derivative of 0 + 1/6*m**3 - m + 8*m**2. What is the units digit of q(12)?
8
Suppose -8*o = -2*k - 13*o + 1869, 5*k - 4686 = o. What is th | {
"pile_set_name": "DM Mathematics"
} |
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