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7*z(n).
-3*n - 110
Let u(c) = -5*c**2 - 4. Let q(z) = z. Let w(n) = 4*q(n) + u(n). Let f = -90 + 96. Let g(k) = 2 - f + k**2 + 4 + 1 - k. Give -4*g(y) - w(y).
y**2
Let k(i) = -161*i**2 - i + 40. Let f(x) = -x**2 - 9. What is -5*f(n) - k(n)?
166*n**2 + n + 5
Let k(o) = -14. Let j(t) = t + 15. Let d = 10 + -8. Give d*j(r) + 3*k(r).
2*r - 12
Let t(f) = f. Let b(d) = 2*d**2 - 36*d - 229. Let o be b(23). Let w(y) = -y**2 + 22*y. What is o*w(a) - 5*t(a)?
-a**2 + 17*a
Let l(f) = 4*f**3 - 3. Let r(z) = z**3 - 2*z**2 + 2*z + 6. Let g(u) = -l(u) + 2*r(u). Let h(o) = -2*o**3 - 3*o**2 + 3*o + 14. Give 3*g(i) - 4*h(i).
2*i**3 - 11
Let d(w) be the first derivative of 5*w**4/4 - 5*w**3/3 - 5*w + 1143. Let x(s) = 2*s**3 - 3*s**2 - 3. Determine -3*d(v) + 5*x(v).
-5*v**3
Let a(l) = l + 3. Let o(j) be the first derivative of j**2/2 + 2*j + 1. Let h(w) = -w**2 + 25*w + 183. Let f be h(-6). Determine f*a(c) + 5*o(c).
2*c + 1
Let q(j) = 93*j**3 + 4*j. Let o(v) = -754*v**3 + 1008*v**3 - 69*v**3 + 7*v. Calculate -4*o(s) + 7*q(s).
-89*s**3
Let l(v) = 2*v**3 + 11*v**2 - 1. Let j(q) = 20*q + 967. Let b be j(-48). Let p(k) = 2*k**3 + 12*k**2 - 1. Calculate b*p(m) - 6*l(m).
2*m**3 + 18*m**2 - 1
Let u(y) = -234*y**2 + 19*y + 7. Let i(z) = -234*z**2 + 16*z + 7. Calculate 6*i(j) - 5*u(j).
-234*j**2 + j + 7
Let j(w) = 22*w**3 - 4*w**2 - 4*w. Let a(g) = -g**2 + 3*g + 50. Let q be a(-6). Let h(b) = -45*b**3 + 7*b**2 + 7*b. What is q*h(r) - 7*j(r)?
26*r**3
Let z(x) = 1300*x**3 - 4*x**2 + 8*x + 7. Let o(c) = 1297*c**3 - 3*c**2 + 6*c + 6. What is 4*o(k) - 3*z(k)?
1288*k**3 + 3
Let j(s) = 10*s + 1153. Let h(q) = -4*q - 469. Give -12*h(x) - 5*j(x).
-2*x - 137
Let o(i) = 49. Let n(m) = -17*m - 181. Give n(z) + o(z).
-17*z - 132
Let r(y) = 3*y**2 - 5. Let l(g) be the third derivative of 0 + 1/30*g**5 - 60*g**2 + 0*g**4 - 2/3*g**3 + 0*g. What is 4*l(j) - 3*r(j)?
-j**2 - 1
Let w(v) = -4912*v + 97. Let t(b) = b - 16. Give -6*t(q) - w(q).
4906*q - 1
Let w(k) = -2*k**3 - 12*k**2 - 10*k - 4. Let t be w(-5). Let z(q) = -q. Let o(n) = n. Let u(a) = -1. Let r(m) = -5*o(m) + u(m). Give t*z(v) + r(v).
-v - 1
Let r be -4 + 3 + 8/((-32)/(-12)). Let y(m) = 0 + 9*m - 7*m + r. Let q(v) = -v. Let s be (-5)/(-15) - 6/(-9). What is s*y(g) + 3*q(g)?
-g + 2
Let w(i) = 22*i - 650. Let l(b) = 41*b - 1286. Give 4*l(d) - 7*w(d).
10*d - 594
Let s(u) = -u + 2. Let o = -7 - -14. Let j(l) be the third derivative of -5/6*l**3 + 1/12*l**4 + 204*l**2 + 0 + 0*l. Give o*s(y) + 3*j(y).
-y - 1
Let q(k) = -14*k**3 - 3687*k**2 - 9*k + 9. Let a(u) = -6*u**3 - 1843*u**2 - 4*u + 4. Determine 9*a(w) - 4*q(w).
2*w**3 - 1839*w**2
Let a(y) = 224*y - 2470. Let n be a(11). Let g(p) = -p + 1. Let d(k) = k + 1. Give n*g(x) - 3*d(x).
3*x - 9
Let y(n) = 16*n**3 - 3*n. Suppose 17*h - 57 = -4 - 2. Let w(g) = -95*g**3 + 19*g. Determine h*w(t) + 19*y(t).
19*t**3
Let a(p) = -16*p**2 + 8*p + 8. Let v(r) be the third derivative of r**5/60 - r**4/24 - r**3/6 - 1359*r**2. What is -a(f) - 8*v(f)?
8*f**2
Let b = 10028 - 10021. Let o(h) = -h + 2. Let x(j) = 2. Calculate b*x(w) - 6*o(w).
6*w + 2
Let y(q) = 8*q - 14283. Let s(t) = -2*t + 4776. Give -7*s(c) - 2*y(c).
-2*c - 4866
Let k(t) = -21*t**3 - 9*t**2 - 3*t - 9. Let f(u) be the third derivative of -u**6/120 - u**5/60 - u**3/6 - 26*u**2 - 118*u. Determine -9*f(q) + k(q).
-12*q**3 - 3*q
Let q(c) = -770*c**2 - 3. Let y(b) = -60829*b**2 - 236. Calculate 236*q(h) - 3*y(h).
767*h**2
Let x(k) = 8*k**2 - 17*k + 14. Let v be 3/6*-8 + 42/7. Let d be 3/2*(v - (-112)/(-24)). Let r(y) = -3*y**2 + 6*y - 5. Give d*x(l) - 11*r(l).
l**2 + 2*l - 1
Let k(n) = -8*n**3 + 11*n**2 + 11*n. Let t be (-3 + (0 - -4))/(((-18)/3)/24). Let s(r) = r**3 - r**2 - r. Calculate t*k(w) - 44*s(w).
-12*w**3
Let x(r) = -1231*r**2 + 2*r - 8. Let s(t) = -758295*t**2 + 1233*t - 4932. Calculate 2*s(a) - 1233*x(a).
1233*a**2
Let c(j) = -8*j + 7. Suppose -2*x + 10 = 3*f, 3*x = 7*f - 4*f - 15. Let n(o) = o - 1. Let g(d) = -2*d + 1. Let v(i) = x*g(i) + 5*n(i). Give 5*c(b) + 6*v(b).
2*b - 1
Suppose -k + 3*o + 3 = -4, -3*o = 3. Let c(q) = -2*q + 2*q + 9*q - k. Let t(d) be the second derivative of -5*d**3/6 + d**2 + d. Calculate -4*c(m) - 7*t(m).
-m + 2
Let n(x) be the first derivative of -x**4/2 - x**3/3 - 2*x**2 + 5*x - 172. Suppose 0 = 17*q - 13 - 38. Let j(b) = -b**3 - b**2 - 2*b + 3. Give q*n(w) - 5*j(w).
-w**3 + 2*w**2 - 2*w
Let v(n) = -n**2 + 14*n - 38. Let b be v(4). Let g(o) = 102*o - 21*o**2 - 101*o + 20*o**b. Let z(r) = -r**2 - 2. Calculate -g(f) - z(f).
2*f**2 - f + 2
Let d(o) be the third derivative of -7*o**5/20 + o**3/6 + 11219*o**2. Let v(t) = -22*t**2 + 1. Determine -6*d(m) + 7*v(m).
-28*m**2 + 1
Let x(y) = -y + 1. Let j(n) = -n**3 - 35*n**2 - 260*n + 43. Let a be j(-11). Let w(t) = 5*t - 4. Determine a*w(s) - 3*x(s).
-2*s + 1
Let a(i) = -i**2 - 7. Let r be (2*-2 + 40/12)*-3. Let g(k) = 5*k**r + 536 - 508 - k**2. Give 9*a(h) + 2*g(h).
-h**2 - 7
Let w(z) = -2*z**3 - 22*z**2 + z - 29. Let x(d) = 12*d**3 + 134*d**2 - 6*d + 172. Give -13*w(b) - 2*x(b).
2*b**3 + 18*b**2 - b + 33
Suppose -1085 = -354*i - 377. Let t(v) = -1. Let p(z) = -z - 2. What is i*p(s) - 5*t(s)?
-2*s + 1
Let t(a) = 7957*a + 10. Let f(r) = -5306*r - 7. What is -7*f(b) - 5*t(b)?
-2643*b - 1
Let a(n) = -136*n - 116. Let u(y) = -20*y - 19. What is -2*a(m) + 13*u(m)?
12*m - 15
Let g(z) = -z**3 - 2*z - 6. Let t be (-1 - (19 - 11))/((-72)/(-48)). Let u = -3 - -2. Let x(r) = r + 1. What is t*x(h) + u*g(h)?
h**3 - 4*h
Let t(q) be the second derivative of -27*q**5/20 - 2*q**3/3 + 2*q**2 - q - 3. Let p(n) = -1081*n**3 - 161*n + 161. Calculate 4*p(y) - 161*t(y).
23*y**3
Suppose 0 = 2*j + 8*l - 10*l + 20, -l = 3*j + 22. Suppose 4 = 5*d - 4*d. Let p be d/14 + 57/21. Let i(o) = -3*o - 8. Let k(y) = -y - 3. What is j*k(x) + p*i(x)?
-x
Let k(j) = -19*j. Let m(u) = -7*u. Let c(x) = 4*k(x) - 11*m(x). Let h(y) = 5*y + 3. Calculate -2*c(t) - h(t).
-7*t - 3
Let u(b) = -4 + 6 - 24198*b + 24200*b + b**2. Let i(z) = -4*z**2 - 5*z - 5. Calculate -4*i(x) - 11*u(x).
5*x**2 - 2*x - 2
Let i(y) = y - 4. Let v(u) = 3*u - 9. Let x(l) = 2*l**2 - 16*l + 6. Let p be x(8). Determine p*v(t) - 14*i(t).
4*t + 2
Let k(m) = 20*m + 692. Let o(j) = 53*j + 2075. Determine -8*k(b) + 3*o(b).
-b + 689
Let o(p) = 20*p + 26. Let k(s) = -74*s - 103. Determine -6*k(z) - 22*o(z).
4*z + 46
Let f(r) = -1. Let z(a) = -21*a - 6. Let j(l) = -1 - 5*l + 3*l - 4*l + 5*l - 2*l. Let m(x) = -15*j(x) + 2*z(x). Determine -4*f(q) - m(q).
-3*q + 1
Let a(z) = 7*z**3 + 6*z**2 + 3*z + 1. Suppose 0 = -5*j + 3653 - 3688. Let l(m) = 15*m**3 + 13*m**2 + 7*m + 2. Determine j*a(u) + 3*l(u).
-4*u**3 - 3*u**2 - 1
Let l(g) = 49*g - 35. Let v(a) = 10*a + 21. Let d(m) = -21*m - 46. Let b(p) = 6*d(p) + 13*v(p). What is -35*b(w) + 3*l(w)?
7*w
Let u(r) = -12*r + 2. Let i(h) = 13741*h + 8. Determine i(g) - 4*u(g).
13789*g
Let g(w) = 171*w**2 - 10483*w - 46. Let k(o) = 15*o**2 - 953*o - 4. Calculate -2*g(y) + 23*k(y).
3*y**2 - 953*y
Suppose -3*y + 141*i = 144*i + 42, -3*y - i = 36. Let k(f) = 21*f**3 - 39*f**2 - 11*f + 11. Let n(h) = -4*h**3 + 8*h**2 + 2*h - 2. Calculate y*n(x) - 2*k(x).
2*x**3 - 10*x**2
Let x(q) = -168*q**3 - 12*q**2 + 12*q + 12. Let r(a) = -67*a**3 - 5*a**2 + 5*a + 5. Suppose 0 = -944*p + 984*p + 200. Determine p*x(j) + 12*r(j).
36*j**3
Suppose 3*v + 10 = -2*v. Let i(y) = -5*y**2 - 25 - 6*y**2 + 37*y - 28*y + 16. Let q(z) = -3*z**2 + 2*z - 2. Give v*i(d) + 9*q(d).
-5*d**2
Let d = 11759 - 11755. Let z(b) = 4. Let p(u) = 4*u - 40. Calculate d*p(q) + 40*z(q).
16*q
Let v(p) = -678*p**2 - 6*p + 1. Let w(x) = 1352*x**2 + 13*x - 3. Calculate 13*v(l) + 6*w(l).
-702*l**2 - 5
Let v(p) = 8*p**3 + 5*p**2 + 6*p - 5. Let h(b) = 7*b**3 + 4*b**2 + 5*b - 4. Let r = -421 - -427. What is r*h(m) - 5*v(m)?
2*m**3 - m**2 + 1
Let c(b) = b**3 + b**2 - b - 1. Let q = 38 - 30. Let p(h) = 0 + 3*h**3 - 6*h**2 + 6*h - 5*h**3 - q*h**3 + 6. Determine -6*c(u) - p(u).
4*u**3
Let u(t) = -85*t**2 - 149*t + 6. Let i(z) = -22*z**2 + 1. Determine 4*i(q) - u(q).
-3*q**2 + 149*q - 2
Let y(z) = 7*z - 14. Let s(i) = 16*i - 19. Let m(x) = -2*s(x) + 3*y(x). Let d(n) = 12*n + 4. Give -6*d(h) - 7*m(h).
5*h + 4
Let q(z) = -3*z**3 - 7*z**2 - 23*z - 7. Let s(k) = -2*k**3 - 4*k**2 - 12*k - 4. Suppose -5*v = -10, -2*h + 23*v = 26*v - 14. Determine h*q(n) - 7*s(n).
2*n**3 | {
"pile_set_name": "DM Mathematics"
} |
20*i. Find the second derivative of j(f) wrt f.
-8
Let l(o) be the second derivative of -3*o**6/10 + 11*o**4/12 - 3*o. What is the third derivative of l(p) wrt p?
-216*p
What is the third derivative of -27*w**4 + 22*w**2 + 20*w**2 - 5*w**2 wrt w?
-648*w
What is the second derivative of 51*z**2 - 92 + 74*z + 45 + 47 wrt z?
102
Find the second derivative of 4*h + 0*h + 0*h - 19*h**5 + 0*h wrt h.
-380*h**3
Let c(m) = -m**2 - 2*m + 3. Let s be c(-3). Suppose 0 = -4*i - q + 14, -3*q + 1 = -3*i + 2*q. Find the third derivative of s*v**3 - 2*v**i + v**3 - v**2 wrt v.
-6
Let s(y) = 8*y**2 + 17*y - 4. Let a(c) = -7*c**2 - 16*c + 3. Let u(i) = 4*a(i) + 3*s(i). What is the second derivative of u(m) wrt m?
-8
Let j(x) be the second derivative of -4*x**4 - 28*x**3/3 + 26*x. What is the second derivative of j(p) wrt p?
-96
Let u(h) be the second derivative of 3*h**6/10 - 7*h**3/6 + 14*h. Find the second derivative of u(j) wrt j.
108*j**2
Let j(u) be the first derivative of u**7/168 - u**5/120 - 4*u**3/3 - 5. Let c(m) be the third derivative of j(m). Find the second derivative of c(l) wrt l.
30*l
Suppose 5*s - 2*c = 0, 3*s - 2 = 7*s - 2*c. What is the derivative of -5 + 2*l**2 + 6*l**s - 4*l**2 - 2 wrt l?
8*l
Let i(h) be the first derivative of 0*h**3 + 1/4*h**4 + 0*h**2 + 3*h - 3. Differentiate i(n) with respect to n.
3*n**2
Let o(p) be the second derivative of 0*p**4 + 0*p**5 - 1/15*p**6 + 0 + 1/2*p**3 + 0*p**2 - 9*p. Find the second derivative of o(q) wrt q.
-24*q**2
Let v(p) be the second derivative of -4*p**6/15 - 3*p**3/2 + p. What is the second derivative of v(g) wrt g?
-96*g**2
Let q(c) = -6*c**3 + 4*c**2 + 8*c. Let u(y) = -13*y**3 + 9*y**2 + 17*y. Let x(z) = 9*q(z) - 4*u(z). Find the second derivative of x(o) wrt o.
-12*o
Let b(v) be the first derivative of v**3 + 6*v + 3. Find the first derivative of b(k) wrt k.
6*k
Let k(v) be the second derivative of v**4 + 14*v**3/3 - 8*v. Find the second derivative of k(p) wrt p.
24
Let q(k) = 2*k + 11. Let v(u) = -2*u - 12. Let o(y) = 6*q(y) + 5*v(y). Differentiate o(p) with respect to p.
2
Let k(r) be the second derivative of r**7/168 - r**4/4 + 5*r**3/6 + 6*r. Let c(u) be the second derivative of k(u). Differentiate c(v) wrt v.
15*v**2
Let r(p) = -p - 4. Let q be r(-5). Let i be 0 + (q - 1) + 2. What is the second derivative of -3*y**2 - 2*y + 0*y + i*y**2 wrt y?
-2
Let l(w) be the first derivative of 0*w**3 + 0*w + 0*w**5 + 3/2*w**2 + 0*w**4 + 1/3*w**6 - 5. What is the second derivative of l(j) wrt j?
40*j**3
Suppose 4*c - 12 = c. What is the third derivative of -c*f**2 - 4*f**3 + 1 - 1 + 7*f**2 wrt f?
-24
Let n = -6 - 7. Let b = -6 - n. Find the third derivative of -2*y**2 - 7 + b - 2*y**5 wrt y.
-120*y**2
Let t(h) be the third derivative of h**9/20160 + h**8/20160 + h**5/20 + h**2. Let c(m) be the third derivative of t(m). Find the third derivative of c(l) wrt l.
18
Let i = 4 + -3. Let t be 0 + 2 - (3 - i). Differentiate t*n**3 + 1 + 2*n**3 - 3 with respect to n.
6*n**2
Let s(y) be the second derivative of 0*y**5 + 3/2*y**2 - 2*y + 1/30*y**6 + 0 + 0*y**3 + 0*y**4. Differentiate s(q) with respect to q.
4*q**3
What is the second derivative of -b**3 - 4 + 4 + 5*b**3 + 3*b wrt b?
24*b
Let x = 8 - 6. Suppose -x*u - u = -15. Find the second derivative of 2*o**4 - u*o + 3*o + o**4 wrt o.
36*o**2
Let a(d) = -3*d**2 + 3*d - 4. Let s be 3 - (-6)/(0 + 2). Let p(c) = -18*c**2 + 17*c - 24. Let r(m) = s*p(m) - 34*a(m). Differentiate r(u) wrt u.
-12*u
Suppose -i = 3*w - 13, -3*w - 3*i - 2 = -17. Let f(k) be the first derivative of 0*k**2 + 0*k**3 + 0*k**4 + 3 - 2/5*k**5 + w*k. Differentiate f(c) wrt c.
-8*c**3
Let r(d) = 3*d - 9. Let x = -10 - -5. Let p(b) = 5*b - 14. Let t(y) = x*p(y) + 8*r(y). Find the first derivative of t(l) wrt l.
-1
Let h(m) = -96*m**3 + 55*m**2 - 11. Let i(y) = -48*y**3 + 27*y**2 - 6. Let u(b) = 6*h(b) - 11*i(b). What is the third derivative of u(k) wrt k?
-288
Let v(z) be the third derivative of z**8/48 + z**5/30 + z**2. Find the third derivative of v(r) wrt r.
420*r**2
Let l(m) be the second derivative of 9*m**5/20 + 4*m**2 + 4*m. Differentiate l(g) with respect to g.
27*g**2
Let k(m) be the second derivative of 1/12*m**4 - 2*m + 0 + 3/2*m**2 + 0*m**3. Find the first derivative of k(a) wrt a.
2*a
Let w(z) = 2*z**2 - 4*z + 4. Let s be w(4). Suppose s = t - 0*i + 3*i, 2*t + 5 = 3*i. What is the third derivative of 0*j**5 + j**2 - 3*j**2 + j**t wrt j?
60*j**2
Let m(a) be the third derivative of a**5/2 + a**4/24 + 2*a**3/3 + 2*a**2 + 21*a. What is the derivative of m(v) wrt v?
60*v + 1
Suppose d = -3*m + 2, 4*d = -2*m + 7 + 1. Let j = m - -2. What is the third derivative of k**2 - 2*k**j + k**5 + 2*k**5 wrt k?
180*k**2
Let r(q) = -6*q + 2. Let w(z) = z + 1. Let o(j) = -r(j) - w(j). Differentiate o(p) wrt p.
5
Let x(i) be the second derivative of i**7/70 + i**5/20 - 3*i**2/2 - 4*i. Let k(j) be the first derivative of x(j). What is the third derivative of k(m) wrt m?
72*m
Let i(s) be the second derivative of 7/20*s**5 + 0 + 0*s**3 - 1/12*s**4 - 7*s + 0*s**2. Find the third derivative of i(z) wrt z.
42
Let l(c) be the third derivative of 3*c**2 + 0 + 0*c**6 + 1/210*c**7 - 1/3*c**3 + 0*c**4 + 0*c**5 + 0*c. Find the first derivative of l(h) wrt h.
4*h**3
Let y be -5*(-2 - (-1)/1). Let j be -1*(0 + 2)*70/(-28). What is the second derivative of m + 2*m - 4*m**j + y*m**5 wrt m?
20*m**3
Let c(t) be the second derivative of 2*t**7/105 + 5*t**4/24 - t**2 - 4*t. Let b(i) be the first derivative of c(i). Find the second derivative of b(r) wrt r.
48*r**2
Let k(h) = 5*h**3 - 3*h**2 - 4*h - 31. Let v(x) = 4*x**3 - 4*x**2 - 5*x - 31. Let n(m) = 5*k(m) - 4*v(m). What is the third derivative of n(a) wrt a?
54
Let h(g) = 8*g**5 - 2*g**3 + 2*g + 2. Let v(n) = n**5 - n**3 + n**2 + n + 1. Let j(w) = -h(w) + 2*v(w). Find the third derivative of j(y) wrt y.
-360*y**2
Let q be (3 + -1 - 3)*-2. What is the second derivative of -3*z - 4*z + z**q + 9*z wrt z?
2
What is the third derivative of -3*u**2 - 3*u**2 + 0*u**3 - 6*u**3 wrt u?
-36
Let h be ((-5)/3 + 0)*18/(-10). Let k(x) be the third derivative of 0*x + 0 - 1/6*x**4 + 0*x**3 + 1/20*x**5 - h*x**2. Find the second derivative of k(z) wrt z.
6
Let m = 6 + -2. Find the second derivative of 6*s - 4*s - 2*s**m + 7*s**4 wrt s.
60*s**2
Let a(d) be the first derivative of -11*d**4/2 + d**2/2 + 10. Find the second derivative of a(t) wrt t.
-132*t
Let o(c) = 7 - 1 - 1 + 7*c**2. Let d(q) = 4*q**2 + 3. Let a(j) = -11*d(j) + 6*o(j). Find the first derivative of a(l) wrt l.
-4*l
Let r(z) = 18*z**3 - 4*z + 5. Let p(v) = -19*v**3 + 5*v - 6. Let w(m) = -4*p(m) - 5*r(m). Differentiate w(t) with respect to t.
-42*t**2
Let u be 8/10*(-30)/(-12). Let p(s) be the first derivative of -u + 1/2*s**2 - 2*s. Differentiate p(m) wrt m.
1
Let m(n) be the second derivative of n**8/7 + n**4/3 + 5*n. Find the third derivative of m(a) wrt a.
960*a**3
Let n(l) be the third derivative of l**5/60 + l**4/3 + l**3/3 - l**2. Let s be n(-8). Find the first derivative of -z - 2*z**s + z - 2 wrt z.
-4*z
Let z(x) be the third derivative of -31*x**5/30 - x**4/24 - x**3/3 - 21*x**2. Find the second derivative of z(b) wrt b.
-124
Let l(g) = -2 - 2*g + 1 + g + 2 + g**2 + g**3. Let k be l(1). What is the second derivative of 3*t**3 + 2*t + 0*t**2 + 0*t**k + 0*t**2 wrt t?
18*t
What is the third derivative of 0*c**3 - 12*c**5 + c**5 + c**2 + 0*c**3 wrt c?
-660*c**2
Find the third derivative of 0*x**2 + 21*x**2 - 5*x**2 + 9*x**5 wrt x.
540*x**2
Let x be (0/(-1) - 2) + 5. What is the second derivative of -15*p**5 - 2*p**x - 3*p + 20*p**5 + 2*p**3 wrt p?
100*p**3
Suppose 6 = 3*j - 0. Let h(k) = -k**2 + 12*k - 4. Let n be h(11). Differentiate n*y - j + y**3 - 7*y wrt y.
3*y**2
Let m = -8 + 10. Let k(l) be the second derivative of l - 1/3*l**3 + 0*l**m + 1/12*l**4 + 0. What is the second derivative of k(j) wrt j?
2
Let k(o) be the third derivative of -o**8/6 - o**5/4 + 28*o**2 + 2*o. What is the third derivative of k(l) wrt l?
-3360*l**2
Let j be 1/((-1)/(-2 + 0)). What is the derivative of -j + 4 + i**3 - 3*i**3 + 5 wrt i?
-6*i**2
Find the second derivative of 64 - 64 + 11*j - 6*j**3 wrt j.
-36*j
Suppose 4*q - 3 = 5. Suppose -q = -m - 0. What is the third derivative of -4*s**3 + 3*s**3 - 2*s**3 - s**m + 0*s**2 wrt s?
-1 | {
"pile_set_name": "DM Mathematics"
} |
+ 29520.
5*(k + 24)*(k + 984)/4
Solve -13*h**5 - 311*h**4 - 1491*h**3 + 959*h**2 + 5212*h + 3060 = 0.
-17, -90/13, -1, 2
Determine i, given that -24964*i**4/3 - 2348512*i**3/3 - 59420*i**2 - 1128*i = 0.
-94, -3/79, 0
Factor -f**2/6 + 6287*f/3 + 4192.
-(f - 12576)*(f + 2)/6
Find r, given that r**3/8 - 255*r**2/8 + 6237*r/4 = 0.
0, 66, 189
Factor -3*t**3 + 810*t**2 - 789*t - 4842.
-3*(t - 269)*(t - 3)*(t + 2)
Factor -3*a**3 - 51*a**2 + 600*a.
-3*a*(a - 8)*(a + 25)
Suppose -r**4 - 4174*r**3 - 4347213*r**2 + 17438972*r - 17455684 = 0. Calculate r.
-2089, 2
Factor 2*g**2 - 5024*g - 292866.
2*(g - 2569)*(g + 57)
Let 2*y**2/17 + 142*y - 216888/17 = 0. What is y?
-1291, 84
Solve 5*k**4 - 40*k**3 - 295*k**2 - 390*k = 0.
-3, -2, 0, 13
Let 6*y**4/11 - 882*y**3/11 + 41742*y**2/11 - 643926*y/11 + 1127844/11 = 0. What is y?
2, 27, 59
Factor -2*l**4/3 - 7484*l**3 - 63101282*l**2/3 - 167911024*l - 1006748192/3.
-2*(l + 4)**2*(l + 5609)**2/3
Determine m, given that -5*m**4 - 925*m**3 + 10800*m**2 + 3700*m - 43120 = 0.
-196, -2, 2, 11
Factor 144*s**3 - 1445568*s**2 + 2408980*s - 1003700.
4*(s - 10037)*(6*s - 5)**2
Suppose 1960*s**3 - 51*s**2 = 0. Calculate s.
0, 51/1960
What is m in 2*m**3/9 + 136*m**2/9 + 1760*m/9 + 1664/3 = 0?
-52, -12, -4
Factor 2*y**2 + 4156*y - 4158.
2*(y - 1)*(y + 2079)
Determine q, given that -22*q**4 + 4308*q**3 - 11954*q**2 - 2316*q = 0.
-2/11, 0, 3, 193
Let -m**2/4 + 105*m/4 + 1107/2 = 0. What is m?
-18, 123
Factor g**2 - 442*g - 4520.
(g - 452)*(g + 10)
Suppose j**4 - 2653*j**3 + 1750286*j**2 + 12366340*j + 10613400 = 0. Calculate j.
-6, -1, 1330
Let m**2/2 - 29377*m + 863008129/2 = 0. What is m?
29377
Factor v**2/4 + 8571*v/4 + 4285/2.
(v + 1)*(v + 8570)/4
Suppose 2*o**4 + 18878*o**3 + 75490*o**2 + 94354*o + 37740 = 0. Calculate o.
-9435, -2, -1
Factor 2*g**3/5 - 1348*g**2/5 + 51906*g/5.
2*g*(g - 633)*(g - 41)/5
Factor 4*n**2 + 552320*n + 19066086400.
4*(n + 69040)**2
Find c, given that 3*c**5 - 14883*c**4 - 36*c**3 + 178644*c**2 - 238128*c = 0.
-4, 0, 2, 4961
Determine y so that -y**4 - 94*y**3 - 3312*y**2 - 51840*y - 304128 = 0.
-24, -22
Find r such that -4*r**5 + 192*r**4 - 2048*r**3 + 8376*r**2 - 14076*r + 7560 = 0.
1, 3, 6, 35
Determine o so that 188*o**2/5 + 922*o/5 - 1236/5 = 0.
-6, 103/94
Let -3*c**3 - 4134*c**2 - 1879284*c - 281127528 = 0. What is c?
-506, -366
Suppose q**5 - 550*q**4 + 13817*q**3 - 101444*q**2 + 163632*q - 75456 = 0. What is q?
1, 12, 524
Let 3*z**2 - 3912*z + 245124 = 0. What is z?
66, 1238
Factor -2*w**2/7 - 4062*w/7 + 3492.
-2*(w - 6)*(w + 2037)/7
Solve -i**4 - 2717*i**3 - 1849591*i**2 - 5524347*i = 0.
-1357, -3, 0
Factor -21*v**3 + 152510*v**2 + 43576*v.
-v*(3*v - 21788)*(7*v + 2)
Factor 2*a**3/7 - 1802*a**2/7 + 251680*a/7 + 75171200/7.
2*(a - 520)**2*(a + 139)/7
Let -2*b**3/7 + 14790*b**2/7 + 266834*b/7 + 36006 = 0. Calculate b.
-17, -1, 7413
Find c such that -5*c**5 + 635*c**4 - 10295*c**3 + 53585*c**2 - 78800*c + 34880 = 0.
1, 8, 109
Solve -j**2/5 + 218516*j = 0 for j.
0, 1092580
Determine c, given that -2*c**3/19 + 4310*c**2/19 + 8628*c/19 = 0.
-2, 0, 2157
Factor 4*k**4 - 1228*k**3 + 120540*k**2 - 3691476*k.
4*k*(k - 123)**2*(k - 61)
Factor -q**4/10 + 9241*q**3/10 - 2135364*q**2 + 2134440*q.
-q*(q - 4620)**2*(q - 1)/10
Let -15*h**4/7 + 354*h**3/7 - 72*h**2/7 - 3186*h/7 + 1863/7 = 0. What is h?
-3, 3/5, 3, 23
Suppose -2*q**5/5 + 48*q**4/5 + 212*q**3/5 + 328*q**2/5 + 222*q/5 + 56/5 = 0. What is q?
-1, 28
Solve 125*b**5/2 + 117775*b**4 + 47070*b**3 - 56513*b**2 + 26375*b/2 - 942 = 0 for b.
-1884, -1, 1/5
Find b, given that -1366*b**5/11 + 39618*b**4/11 - 300636*b**3/11 + 263152*b**2/11 - 768*b/11 = 0.
0, 2/683, 1, 12, 16
Factor v**2 + 1332*v - 2668.
(v - 2)*(v + 1334)
Factor 4*z**2 - 168*z - 15660.
4*(z - 87)*(z + 45)
Determine q so that -2*q**2/9 - 4*q/3 + 7424/9 = 0.
-64, 58
Solve 4*n**3 - 34788*n**2 + 139104*n - 139088 = 0 for n.
2, 8693
Solve -422*m**5/11 + 8022*m**4/11 - 54514*m**3/11 + 154546*m**2/11 - 13560*m + 1400/11 = 0.
2/211, 2, 5, 7
Solve -2*n**2 + 9434*n + 47220 = 0 for n.
-5, 4722
Suppose 2*u**3 + 85744*u**2 - 2*u - 85744 = 0. Calculate u.
-42872, -1, 1
Factor 2*a**2/13 - 1062*a/13 - 5960.
2*(a - 596)*(a + 65)/13
Suppose 3*l**5/4 - 399*l**4/4 + 7347*l**3/4 - 32529*l**2/4 - 3675*l/2 + 8232 = 0. Calculate l.
-1, 1, 7, 14, 112
Solve 2*j**5/5 + 6*j**4 + 102*j**3/5 - 86*j**2/5 - 264*j/5 + 216/5 = 0 for j.
-9, -6, -2, 1
Factor -2*b**3 - 269*b**2 - 2163*b - 2646.
-(b + 7)*(b + 126)*(2*b + 3)
Factor -f**3 - 64*f**2 + 4011*f - 46746.
-(f - 21)**2*(f + 106)
Let 21*i**5/2 + 159*i**4 - 291*i**3/2 - 24*i**2 = 0. Calculate i.
-16, -1/7, 0, 1
Factor r**4/2 + 13*r**3 - 459*r**2/2 + 918*r - 702.
(r - 6)**2*(r - 1)*(r + 39)/2
Determine y so that -25*y**4 - 11745*y**3 - 157584*y**2 - 120436*y - 23712 = 0.
-456, -13, -2/5
What is p in 2*p**3/9 - 38*p**2/3 + 1600*p/9 = 0?
0, 25, 32
Determine r, given that -2*r**4/19 + 1270*r**3/19 + 6392*r**2/19 + 5120*r/19 = 0.
-4, -1, 0, 640
What is u in -u**4 + 66*u**3 - 675*u**2 - 742*u = 0?
-1, 0, 14, 53
Factor 2*h**2 + 7988*h - 7990.
2*(h - 1)*(h + 3995)
Factor -3*h**2/2 - 19197*h + 38397/2.
-3*(h - 1)*(h + 12799)/2
Factor u**4/6 - 19*u**3/2 - 239*u**2/3 + 7574*u + 7644.
(u - 42)**2*(u + 1)*(u + 26)/6
Factor 2*i**2/3 + 102836*i - 308510/3.
2*(i - 1)*(i + 154255)/3
Factor -4*r**2 + 796240*r - 796236.
-4*(r - 199059)*(r - 1)
What is p in -5*p**2/4 - 9090*p - 16525620 = 0?
-3636
Find h, given that -14132*h**4/5 - 9894*h**3 + 35302*h**2/5 + 28284*h/5 + 16/5 = 0.
-4, -1/2, -2/3533, 1
What is h in -5*h**4 + 279*h**3 - 490*h**2 + 216*h = 0?
0, 4/5, 1, 54
Solve 2*u**4/9 + 80*u**3/9 - 62*u**2/9 - 2540*u/9 - 800/3 = 0.
-40, -5, -1, 6
Solve -n**2/2 + 55*n - 408 = 0 for n.
8, 102
Let w**2/3 + 140*w - 1728 = 0. Calculate w.
-432, 12
Find y such that 44*y**4 + 1234*y**3 + 1254*y**2 + 324*y = 0.
-27, -6/11, -1/2, 0
Factor 4*m**3 - 2472*m**2 + 33920*m - 57984.
4*(m - 604)*(m - 12)*(m - 2)
What is o in -35*o**3/6 + 1189*o**2/6 - 1103*o/3 - 32/3 = 0?
-1/35, 2, 32
Solve -81*n**5 + 1212*n**4 - 3924*n**3 + 4470*n**2 - 1611*n - 66 = 0 for n.
-1/27, 1, 2, 11
Factor -z**3/6 - 531*z**2/2 + z/6 + 531/2.
-(z - 1)*(z + 1)*(z + 1593)/6
Let -2*q**4 - 56*q**3 - 170*q**2 + 516*q - 288 = 0. What is q?
-24, -6, 1
What is l in -15*l**4/7 - 681*l**3 + 30666*l**2/7 + 24768*l + 116640/7 = 0?
-324, -3, -4/5, 10
Factor 4*v**2/3 + 524*v/3 - 26520.
4*(v - 90)*(v + 221)/3
Factor -3*x**3/7 - 142272*x**2/7 - 240947793*x + 3373838214/7.
-3*(x - 2)*(x + 23713)**2/7
Let -r**4/3 - 2593*r**3/3 - 560736*r**2 - 559872*r = 0. What is r?
-1296, -1, 0
Factor 5*i**2 + 7305*i + 14590.
5*(i + 2)*(i + 1459)
Let -2*n**3 + 1432*n**2 + 84896*n + 1210496 = 0. What is n?
-28, 772
Factor 242*f**4/3 + 13046*f**3 + 9456*f**2 + 5152*f/3.
2*f*(f + 161)*(11*f + 4)**2/3
Suppose 2*o**4/5 + 28*o**3/5 - 72*o**2/5 - 368*o - 640 = 0. What is o?
-10, -2, 8
Factor 5*y**3 + 330*y**2 - 46740*y - 3294760.
5*(y - 98)*(y + 82)**2
Factor d**4 - 867*d**3 + 213510*d**2 - 20824100*d + 714747000.
(d - 537)*(d - 110)**3
Let 65*o**4/2 - 52003*o**3/2 + 5201200*o**2 - 240000*o = 0. What is o?
0, 3/65, 400
Factor -4*l**2/7 - 18740*l/7 + 13400.
-4*(l - 5)*(l + 4690)/7
Factor -2*z**2/11 + 4772*z/11 - 1233690/11.
-2*(z - 2091)*(z - 295)/11
Determine r, given that r**2 + 237*r - 720 = 0.
-240, 3
Find o such that 7396*o**3 + 3268*o**2 - 54464*o - 65712 = 0.
-74/43, 3
Let 1365*x**3 - 175625*x**2 - 59320*x - 2580 = 0. Calculate x.
-2/7, -2/39, 129
Factor b**2/4 + 11049*b/4 - 19348.
(b - 7)*(b + 11056)/4
Factor k**4/8 - 277*k**3/8 - k**2/2 + 277*k/2.
k*(k - 277)*(k - 2)*(k + 2)/8
Factor g**3 - 1548*g**2 + 586500*g + 9784384.
(g - 782)**2*(g + 16)
Factor -d**2/2 - 3990*d - 7978.
-(d + 2)*(d + 7978)/2
Solve -s**3 - 121*s**2 - 2510*s + 2632 = 0 for s.
-94, -28, 1
Let 178*r**4/5 - 1416*r**3/5 + 1182*r**2/5 + 56*r/5 = 0. What is r?
-4/89, 0, 1, 7
Factor -4*q**2/5 - 1053*q/5 - 12299/5.
-(q + 251)*(4*q + 49)/5
Suppose -12*r**3 - 25564*r**2 + 68240*r - 34128 = 0. What is r?
-2133, 2/3, 2
Factor 2*p**3/19 + 110482*p**2/19 - 441952*p/19 + 441960/19.
2*(p - 2)**2*(p + 55245)/19
Factor -g**2/2 - 163*g/2 - 1430.
-(g + 20)*(g + 143)/2
Factor -481*b**3 - 272244*b**2 - 38521677*b + 160178.
-(b + 283)**2*(481*b - 2)
Find v such that 2*v**3/15 - 25234*v**2/15 + 15921392*v/3 - 795 | {
"pile_set_name": "DM Mathematics"
} |
. Let x = k - z. What is x rounded to 3 decimal places?
-0.006
Let g = 0.048 - -1.552. Round g to the nearest integer.
2
Let j = 318387 - 138960. Let x = j - 179442.4067. Let l = x - -15.4. What is l rounded to 3 decimal places?
-0.007
Let a(o) = 53242*o**3 - 10*o**2 + 14*o + 4. Let b be a(6). Round b to the nearest one million.
12000000
Let w = 0.1600058 - 0.16. What is w rounded to six decimal places?
0.000006
Let i = -751 + -452. Let q = -153 - i. Round q to the nearest 100.
1100
Let s = 9 - 8.92. Let t = s + -0.07999995. Round t to 7 dps.
0.0000001
Let n = 0.04542168 - -0.02457769. Let k = n + -0.07. Round k to seven dps.
-0.0000006
Let l = -0.1000085 - -0.1. Round l to 6 dps.
-0.000009
Let o = -0.013 + 0.273. What is o rounded to one dp?
0.3
Let o = 0.4399988 + -0.44. What is o rounded to seven dps?
-0.0000012
Let s = 5 + -4.75. Let l = 0.192 - s. What is l rounded to 2 decimal places?
-0.06
Let o = 0.29 - 0.51. Let w = -1.08 + o. What is w rounded to 1 dp?
-1.3
Let j = -10514544174669591 + 10514543862961530.99999935. Let n = j - -311708031. Let k = 29 + n. What is k rounded to seven dps?
-0.0000007
Let c = 1 - 0.7. Let u = 0.8 - c. Let q = u + -0.50089. Round q to four decimal places.
-0.0009
Let o = -1.23 - -1.077. What is o rounded to two decimal places?
-0.15
Let r = -6036497 - 26563503. Round r to the nearest one million.
-33000000
Suppose -5*u = 4*i + i + 14100010, -4*u = 2*i + 11280004. What is u rounded to the nearest 100000?
-2800000
Let d = 5.62 - 5. Let p = 65.38 + d. Let o = p + -66.0093. What is o rounded to 3 dps?
-0.009
Let c(h) = -5*h + 1. Let m be c(2). Let a be 2/(-6) - (-3419997)/m. Round a to the nearest one hundred thousand.
-400000
Let n be -1 - (-2 - -3) - -6. Let l = 10 - n. Let z(h) = h**2 - 2*h. Let v be z(l). Round v to the nearest ten.
20
Let r = 0.0611 - 0.06110457. Round r to 7 dps.
-0.0000046
Let b = 3.976 + -4. Round b to two decimal places.
-0.02
Let y = 4023 - 4022.96781. Let v = y + 4.13481. Let i = 0.067 - v. Round i to zero decimal places.
-4
Let m = -0.017 + -0.098. Let k = 1606.52 + -1606.6349947. Let h = k - m. Round h to six dps.
0.000005
Let t be 3/(-15) - 9698/10. What is t rounded to the nearest 100?
-1000
Let j = 3.46 + 174.54. Let p = j - 187.1. Round p to the nearest integer.
-9
Let v(f) = -1474*f - 32. Let o be v(32). What is o rounded to the nearest ten thousand?
-50000
Let z(f) = 599427*f**2 + 643008*f**2 + 657565*f**2. Let c = -21 - -19. Let d be z(c). What is d rounded to the nearest one million?
8000000
Let x = 0.032 - -22.968. Let v = -22.945 + x. What is v rounded to 2 dps?
0.06
Let d = 2.56 - 1.3. Let p = 1.1 - d. Let k = -7.06 - p. Round k to the nearest integer.
-7
Suppose -4*y + 79 = 4*u - 113, 3*y - u - 140 = 0. Suppose 5*f + y = 302. Round f to the nearest 10.
50
Let d be 469999 + (-9)/(-11) + 6/33. Round d to the nearest 100000.
500000
Let h = -16 + 9.5. Let f = h - 1.5. Let z = f + 8.00015. What is z rounded to four dps?
0.0002
Let n = 85 - 84.9999945. Round n to six dps.
0.000006
Let j = 45 - 45.72. Round j to one decimal place.
-0.7
Suppose 6*m - 321159 = 572841. What is m rounded to the nearest ten thousand?
150000
Let s(v) = 14801*v - 1. Let r be s(1). Round r to the nearest 1000.
15000
Suppose -t = -3*f - 10, 5*t - 64 = f - 0. Suppose 22 = -a + 24. Suppose t = a*u - 3. Round u to the nearest ten.
10
Let d = -0.4 + 0.9. Let n = -0.512 + d. Let f = 0.0119977 + n. What is f rounded to six dps?
-0.000002
Suppose 0 = -k - 952 - 2758. What is k rounded to the nearest one hundred?
-3700
Let b = -19.4999734 - -19.5. What is b rounded to 6 decimal places?
0.000027
Let y(f) = -178*f**2 + 3*f - 2. Let k be y(-2). Round k to the nearest one hundred.
-700
Suppose -3*g - g + 480995 = 3*o, 360725 = 3*g - 2*o. Let y = g + -37235. Suppose 5*k - y = -32510. What is k rounded to the nearest one thousand?
10000
Let b = -0.7 - -0.7000285. Round b to 6 decimal places.
0.000029
Suppose -4*x + 11879994 = -3*k, -x + 1824777 = -4*k - 1145215. What is x rounded to the nearest one hundred thousand?
3000000
Let z = 3.8699657 + -3.87. What is z rounded to six decimal places?
-0.000034
Let d = -61.2 + 4.2. Let q = d - -32. Let x = q - -24.44. Round x to 1 decimal place.
-0.6
Let p be 84/18 + 1/3. Suppose 8 - 2 = 2*j. Suppose -3*z - l + j*l = 146, 210 = -4*z - p*l. Round z to the nearest 10.
-50
Let x = 22.00035 + -22. What is x rounded to 4 dps?
0.0004
Suppose 0 = -4*d - 2*g - 3568, -4*d - 3*g = 1322 + 2250. Round d to the nearest one hundred.
-900
Let f be (-1)/((-1)/(-2)) + 4. Suppose -f*r = 3*r + 15. What is r rounded to the nearest 10?
0
Let y = 24 - 24.0085. What is y rounded to 3 decimal places?
-0.009
Let c = 9.8 + -9.799934. What is c rounded to 5 dps?
0.00007
Let r = -349 - -364.65. Let y = -16 + r. Round y to one decimal place.
-0.4
Let n = -4 + 9. Suppose 3*j = 2*z - 79799992, 3*j + n*z + 16398922 = -63401098. Round j to the nearest 1000000.
-27000000
Let c = 7.3 + -7. Let f = c + -0.2991. What is f rounded to four dps?
0.0009
Let t = 107 + -973. Let j = -6065 - -199. Let o = t - j. Round o to the nearest ten thousand.
10000
Let p be 9600003/(-12) - 2/(-8). Round p to the nearest 1000000.
-1000000
Let f = 1.661 + -1.67. Round f to 1 decimal place.
0
Suppose 0 = -0*c - c + 2. Suppose 4*r + 7512 = 3*k + c*k, 0 = 5*k - 5*r - 7515. Round k to the nearest one thousand.
2000
Let c = 129 + -185. Let z = c + 58.7. Let n = -2.700037 + z. What is n rounded to 5 decimal places?
-0.00004
Let v(x) = x**2 + 7*x - 8. Let u be v(-7). Let f(m) = -6405*m**2 + 9*m - 8. Let w be f(u). Round w to the nearest one hundred thousand.
-400000
Let x = 3867965.19999945 + -3867965. Let q = x - 0.2. Round q to 7 dps.
-0.0000006
Let v be (0 - -241)/((-3)/(-76497)). Let w(f) = -2845258*f**3 + 1. Let c be w(-1). Let r = v - c. Round r to the nearest one million.
3000000
Suppose -o + 4*l = o + 158, 5 = 5*l. Suppose -v + 2 = 0, a + 5*v + 113 = -72. Let g = o - a. Round g to the nearest ten.
120
Let r = -39.57 + 40. What is r rounded to 1 decimal place?
0.4
Suppose 0 = -0*l + 4*l. Suppose l*d = -2*d + 6. Suppose 18966 = -d*a - 18234. What is a rounded to the nearest one thousand?
-12000
Let r = -3091045.13 - -3091046.93000031. Let s = -1.8 + r. Round s to seven dps.
0.0000003
Suppose -2*b + 4*d + 196 = -26, -4*b - 5*d + 470 = 0. Let j be 0 + (1 + b)*1. Suppose 5*q - 3*q = -j. What is q rounded to the nearest 10?
-60
Let k = 1665570 + -1115570. Suppose 9*c - 8*c - k = 0. Round c to the nearest one hundred thousand.
600000
Let l = 99.4 + -99.36995. Let m = 0.03 - l. Round m to five decimal places.
-0.00005
Let d = 0 + 0.00011. Round d to five dps.
0.00011
Let l = 6901 - 2751. What is l rounded to the nearest 100?
4200
Let r(h) = -3*h**3 + 8*h**2 - 6*h + 7. Let d be r(-10). Suppose 1067 = 4*o + d. Round o to the nearest one thousand.
-1000
Let w = 97 + -96.999927. What is w rounded to five dps?
0.00007
Let v = 0.0253 - 0.2583. Let c = 10.533 + v. Round c to 0 dps.
10
Suppose s = 2*p + 6*s + 476944, -238471 = p + 2*s. Suppose -r - 4*h = 154483, 5*r - h + 3*h + 772343 = 0. Let x = r - p. What is x rounded to the nearest 10000?
80000
Let n = -948 + 948.733. Round n to one dp.
0.7
Let a = -46 + 26. Let c = a + 20.062. What is c rounded to 2 decimal places?
0.06
Let k(i) be the first derivative of 105*i**4/2 + 2*i**3/3 + 5*i**2/2 + 3*i - 4. Let v be k(-10). Let n = v - -1859847. Round n to the nearest 100000.
1700000
Let l = 6.64 - 0.14. Round l to 0 dps.
7
Let k = -17 - -25. Let j = -7.95 + k. What is j rounded to 2 decimal places?
0.05
Suppose 2*f + 145 + 149 = 0. What is f rounded to the nearest ten?
-150
Let m = 77236.143 + -77085.143093. Let t = 408 + -257. Let h = m - t. What is h rounded to 5 dps?
-0.00009
Let w = 18.04 + -17. Let k = 478.66 + -486. Let u = w + k. What is u rounded to 0 dps?
-6
Let g = 0 + 0.1. Let y = -0.7 - g. Let n = y - -0.7986. What is n rounded to 3 dps?
-0.001
Let g be 6/(-21) - (3 - (-61809)/(-21)). What is g rounded to the nearest one hundred?
2900
Let l = 0.006561 + -25.019561. Let z = 0.013 + l. Let g = z - -25.0021. Round g to 3 dps.
0.002
Suppose 0 = -18*d + 7*d - 440. What is d rounded to the nearest one hundred?
0
Let m(x) = -31333*x - 1. Let k = -12 + 15. Let b be m(k). What is b rounded to | {
"pile_set_name": "DM Mathematics"
} |
be a(-8). Let c(b) = -l*b**3 + b**3 + 3*b - 4*b**2 - 6*b. What is the units digit of c(-2)?
6
Let r be 6*(-2 - (-4)/6). Let n(m) = 7*m**2 + m + 4. Let q be n(-3). What is the tens digit of (54/r)/((-24)/q)?
1
Let h = -32 - -61. What is the units digit of h?
9
What is the tens digit of (-6)/24 - 1492/(-16)?
9
Let s be -4 - ((-2)/(-2) + -3). Let v(a) = a + 1. Let q be v(s). What is the units digit of 3 + (q - 0 - -2)?
4
Suppose -5*n + 4*j = 3*j - 117, 2*j = 6. What is the tens digit of n?
2
Let r(a) be the first derivative of a**4/4 - 2*a**3/3 - 3*a**2/2 + 2*a + 3. Let h be r(3). Suppose 3*o - 17 = 4*f, 1 = -f + h. What is the units digit of o?
7
Suppose 0 = -13*i + 11*i + 126. What is the tens digit of i?
6
Let u(f) be the first derivative of -1/3*f**3 + 2 - 3*f**2 + f. What is the units digit of u(-5)?
6
Let i be (-4 - -3)/(1/(-4)). Let h(f) = 7*f - 4. Let l be h(i). Let u = l - 12. What is the units digit of u?
2
Suppose 2*o + q = o + 186, -o + 3*q + 186 = 0. What is the units digit of o?
6
Suppose -3*d + 3 = -2*d. Suppose 0 = d*h + h - 16. Suppose -5*r = -h*s + 43, -s + 1 = 3*r + 3. What is the units digit of s?
7
Let q(l) = -l - 1. Let f(m) = -m**3 + 10*m**2 - 11*m + 13. Let x be f(9). What is the units digit of q(x)?
4
Let p = -5 + 8. Let f = 4 - p. Suppose 8 = 3*o - f. What is the units digit of o?
3
Suppose 81 = 3*f + 4*k + 6, -k = 4*f - 113. What is the units digit of f?
9
Suppose 0 = -3*x + 127 + 5. What is the units digit of x?
4
Let o be 4*(4/(-8) + 1). Suppose -o*u = q - 21, -27 = 3*q + 4*u - 84. What is the units digit of q?
5
Let f = 8 - 4. Suppose -8 = -3*k + 3*l + 4, 2*k + f*l - 8 = 0. Suppose k*z - 17 = -5*x + z, 18 = -2*x + 5*z. What is the units digit of x?
1
Let h be (-924)/(-35) + 4/(-10). Let d = h + -20. What is the units digit of d?
6
What is the tens digit of ((-682)/(-33))/((-4)/(-6))?
3
Suppose 6*g = -3*g + 333. What is the tens digit of g?
3
Let v = -18 + 10. Let r = 13 + v. What is the units digit of r?
5
Let p(b) = -b - 2. Let r be p(-9). Suppose r*a - 4*a = 12, 0 = 2*j - 2*a - 16. What is the units digit of j?
2
Let y = -389 - -744. What is the tens digit of y?
5
Let m = 1 - 0. Let x = m - -4. Suppose -x*n - 5 + 60 = 0. What is the tens digit of n?
1
What is the hundreds digit of -10*2/(-5) - -147?
1
Let r = -4 + 3. What is the units digit of 11*1 + -2 + r?
8
Let a = -26 - -67. What is the units digit of a?
1
Let s(z) = 8*z - 1. Let v be s(1). Let j(q) = q**2 - 5*q + 9. What is the units digit of j(v)?
3
Let i be -3 + (5 - -1) + -5. What is the units digit of (-5 - i)*4/(-6)?
2
Let w(r) = -r**2 - 5*r + 8. Let h be w(-6). Let s be (h + -3)*(-1 + 1). Suppose 55 = 4*u - 3*f, u + 2*f = -s*f + 22. What is the units digit of u?
6
Suppose 2*f + 6 = -f, -2*b + 250 = -5*f. Suppose -d = 4*d - b. What is the tens digit of d?
2
Let o(a) = a + 9. Let b be o(-7). Suppose 0 = -u + b + 1, 0 = v + u - 3. Let c(s) = -s**3 - s**2 + 10. What is the units digit of c(v)?
0
Let q be (-10)/(-4)*(-4)/(-10). Suppose 3*n - q = 4*h, -5*h - 2*n + 0*n = -16. What is the units digit of h?
2
Let f be 3 + (-6 - -3 - 0). Suppose k = -p + 5, 2*k + 26 = -f*p + 2*p. What is the units digit of p?
9
Suppose 3*o = 5*s - 15 - 54, 4*s = -2*o + 42. Suppose 5*j - j + s = 0, d = -3*j. What is the units digit of d?
9
Let p = 2 - 2. Suppose l - 11 = -p*l. What is the units digit of l?
1
Let b = 248 - 89. What is the units digit of b?
9
Suppose 3*p - 132 = 4*a + 37, -12 = -4*p. Let i be (4/(-10))/(16/a). Suppose -4*s + 5*s = i. What is the units digit of s?
1
Let i be (0/(-1))/((-2)/(-1)). Suppose 2*f + 8 = 0, -4*v - 5*f - 7 = -47. Suppose i = 3*x - v - 6. What is the units digit of x?
7
What is the units digit of 0 + 17 + 2 + 0/11?
9
Suppose 2*j + 0*j = -6, -69 = -3*n + 4*j. What is the tens digit of n?
1
Suppose 4*u - 18 = 42. Suppose -5*o + 10*o = u. What is the units digit of o?
3
What is the units digit of (3/5)/((-36)/(-120))?
2
Suppose w = f + 2, -4*f = 4*w - 3*f - 18. Let z(k) = 5*k - 6. What is the tens digit of z(w)?
1
Suppose 0 = 5*o + q - 453, 3*o - 276 = -0*q - 2*q. What is the tens digit of o?
9
Suppose -3*q + 14 = -61. What is the tens digit of q?
2
Suppose 5*y - 264 = -2*f, 5*f - y = -6*y + 645. What is the hundreds digit of f?
1
Let n = 1 - -3. Suppose y - 2*h = h + 17, n*y = 3*h + 23. What is the units digit of y?
2
Let d be (-19)/(-4) + (-18)/24. Let c = 12 - d. What is the units digit of c?
8
Suppose -2*x + 2*n + 24 = 0, -12 = -2*x + 5*n + 12. What is the tens digit of x?
1
Let k(c) = 1. Let w(a) = -4*a - 18. Let v(m) = 10*k(m) + w(m). What is the tens digit of v(-6)?
1
Let g = -26 - -104. What is the tens digit of g?
7
Suppose -9*h - 33 = -159. What is the tens digit of h?
1
Let m = -40 - -61. What is the units digit of m?
1
Let n(x) = -7*x**2 + x**3 + 0*x**3 + 3 + 2*x + 2*x**2 - 9. What is the units digit of n(5)?
4
Suppose 24 = k + 2*k. Let d be 81/15 - 4/10. Suppose -5*o = 3*z + 17, -d*z - 5*o - 7 = k. What is the units digit of z?
1
Suppose -4*l = -5*l + 1. Let a = 3 - l. Suppose 0 = -2*t - 4*b + 16, -5*t + a*t - 3*b + 21 = 0. What is the units digit of t?
6
Let b = 0 + 2. Suppose b*d + 18 = -3*l, 2*l - 5*d = -4*d - 12. What is the units digit of ((-8)/(-3))/(l/(-18))?
8
Let i(m) = -m**2 + 9*m - 1. Let k be i(8). Let r(b) = -b**3 + 8*b**2 - 8*b + 8. What is the units digit of r(k)?
1
Let c(d) = -d**3 + 7*d**2 - 5*d - 4. Let i be c(6). Suppose 2*r - 15 = -5*f + 140, -i*f + 83 = 5*r. What is the tens digit of f?
2
Suppose 7 + 59 = 3*c. What is the tens digit of c?
2
Suppose -4*v - 2*h = -20, 2*v - 3*h - 10 = h. Suppose -v*t + 1 = -14. Suppose -3*a - t*b = -6*a + 9, 4*b = 5*a - 15. What is the units digit of a?
3
Suppose 2*g = -v + 57, 3*v + 1 = 16. What is the units digit of g?
6
Let b(l) = -l**3 + 2*l. Let z be b(-2). Suppose -f - f = 5*d - 20, -z*f = -d - 18. Let g = 6 - f. What is the units digit of g?
1
Suppose 0 = -c + 11 - 6. Suppose -4*r + 2*k - 2 = k, -r + c*k = 10. Suppose r*d - 4*d + 16 = 0. What is the units digit of d?
4
Suppose 4*q = -0*q - 172. Let m = 67 + q. Suppose 0*h - 12 = -l + h, -2*l - 4*h + m = 0. What is the units digit of l?
2
Suppose -132 = -4*y + 4*b, y - 2*b + 144 = 6*y. Let n = y + -13. What is the units digit of n?
7
Suppose 10*f - 27 = 7*f. Suppose 0 = 2*o + 2*o + 3*w - 17, -2*o - w = -f. What is the units digit of o?
5
Let z be (-2 - -1)*-21*-1. Suppose f - 2*h - 32 = 0, 3*f - 4*h - 12 = 86. Let d = z + f. What is the tens digit of d?
1
Let n(l) = 2 - 4 - 4*l + l**2 - l. Let h be n(6). Suppose -2*v = -h*v + 6. What is the units digit of v?
3
Suppose 3*r = -5*m - 219 - 435, 0 = 2*m + 6. Let k be (-2)/(-12) + r/(-18). What is the units digit of ((-4)/k)/((-1)/9)?
3
Suppose -4*d - 4 - 8 = -5*v, -4*d = 3*v - 20. Suppose 4*k + v = -0*k. What is the units digit of (k/(-3))/(5/60)?
4
Let x = -102 - -72. What is the units digit of ((-2)/3)/(2/x)?
0
Suppose -5*i + 120 - 29 = -4*h, 0 = -2*h - 4*i - 52. Let a = -15 - h. What is the units digit of a?
9
Suppose w = -11 - 6. Let a be w + (3 - 4) + 4. What is the units digit of (-164)/a + 2/7?
2
Let r(x) = 5*x**2 + 2*x + 2. Suppose -2*i = i + 6. What is the tens digit of r(i)?
1
Let m = 11 + -8. Suppose t - 3*b = 10, -t + b - 3*b = 0. Let j = t - m. What is the units digit of j?
1
Let g be (1 - 0) + 18/6. Suppose 3*l = -g*f + 137, -f + 200 = 6*l - 2*l. Suppose 0*h = -3*h + l. What is the tens digit of h?
1
Let h = 38 - 26. What is the units digit of h*(-2)/(6/(-1))?
4
Suppose -8 = -0*a + 4*a. Let n = a - -4. What is the units digit of 4 - (0 - (n + -2))?
4
Let c = 37 - -31. What is the tens digit of c?
6
Let y = 39 + -7. What is the tens digit of 520/y - 1/4?
1
Let g = -32 + 63. What is the tens digit of g?
3
Let d be ((-2)/2)/(3/18). Let l = 18 - d. What is the tens digit of l?
2
Suppose -3*z - 140 = -5*t + 2*z, 0 = 4*z + 4. What is the tens digit of t?
2
Suppose -r - 18 = 2*r. Let b be r/15 - (-13)/(-5). Let g = b - -5. What is the units digit of g?
2
Let p be (-42)/(-12) + (-2)/4. Let a = 8 + p. What is the units digit of a?
1
Let w(a) = 2*a + 3 + 2 - 1 - a. What is the units digit of w(8)?
2
Let c(o) = -o**3 + 7*o**2 - 4*o + 1. Let w be 6*1*(-50)/15. Let i be (-45)/(-25)*w/(-6). What is the tens digit of c(i)?
1
Suppose -2*d + 18 = d - g, 0 = -d - 4*g + 19. Let | {
"pile_set_name": "DM Mathematics"
} |
h. Suppose -13*i + 16*i - 34200000 = o. What is i rounded to the nearest 1000000?
11000000
Let v = -71403599.19999816 - -71403652.2. Let l = 53 - v. Round l to seven decimal places.
-0.0000018
Let k(r) = 3*r**2 + 2*r - 2. Let i be k(-2). What is i rounded to the nearest 10?
10
Let x be ((-455)/20)/((-2)/216). Suppose 5*u + 51543 + x = 0. Round u to the nearest 1000.
-11000
Let i = 0.08 + -0.146. Let z = i + -0.052. Let j = z + -7.582. Round j to the nearest integer.
-8
Let c = -25499491.94 - -572240.94. Let w = c + 24927177.999959. Let u = -73 - w. What is u rounded to five dps?
0.00004
Let p = 2.4 + -0.4. Let v = -8993043 + 8993040.99999975. Let b = p + v. Round b to 7 decimal places.
-0.0000003
Let y(b) = -744*b**3 + 8*b**2 + 7*b + 4. Let t be y(7). Let d = t - -429746. Let f be (-3 - 5)*(-1 - d). Round f to the nearest 1000000.
1000000
Let b = -8 + 4. Let m = -6 - b. Let i be m + -369997*1 + -1. Round i to the nearest one hundred thousand.
-400000
Let b = -15966.9945 + 15977. Let y = 9.8 + 0.2. Let n = y - b. Round n to three decimal places.
-0.006
Let g = -99 + 98.9947. What is g rounded to three decimal places?
-0.005
Let p(a) = 4*a - 9. Let i be p(5). Round i to the nearest 10.
10
Let x = -1.2 + 0.7. Let m = x + 0.49924. Round m to 4 decimal places.
-0.0008
Let r = 0.029 + -0.0242. Round r to three decimal places.
0.005
Let i = -13.401 - -0.101. Let k = i + 14. Let u = 0.699934 - k. What is u rounded to 5 decimal places?
-0.00007
Suppose s = -3, -3*b + s = -8*b - 3. Let t be (-938 + b + -2)*1000. What is t rounded to the nearest 100000?
-900000
Suppose -x - 6960000 = 3*x. What is x rounded to the nearest one hundred thousand?
-1700000
Suppose -2*i + 0*i = -4. Let m(x) = 2*x - 2. Let d be m(i). Suppose -2*v = q - 5*q - 228002, 0 = -2*v + d. What is q rounded to the nearest ten thousand?
-60000
Let t = 6766896 - 3966896. Suppose t = x + x. What is x rounded to the nearest 1000000?
1000000
Let h = -27.7 - 5.3. Let p = 16 + h. Let j = -15.6 - p. What is j rounded to zero decimal places?
1
Let c = 11 + -8. Suppose a + c*w + 1015 = 0, w - 2*w = 5. What is a rounded to the nearest 1000?
-1000
Let f = 0.87 + -0.17. Let b = 1 - f. What is b rounded to 1 dp?
0.3
Let t = -65 - -64.999941. Round t to 4 dps.
-0.0001
Let o be (195/10 - 2)*-6. Round o to the nearest 10.
-110
Let t = 2.45873 - 2.41. Let x = -0.18017 - t. Let a = 0.23 + x. Round a to four decimal places.
0.0011
Let s = 57.0000005 + -57. What is s rounded to six dps?
0.000001
Suppose 3*s - 2159995 = -5*t, 0 = 5*t + 2 + 3. Suppose m - s = -2*m. Round m to the nearest 100000.
200000
Let q = -2 - 0. Let h be 8357*-14 - (q - -4). What is h rounded to the nearest ten thousand?
-120000
Suppose 0 = -3*v - 2*y + 38, 3*v - 19 + 5 = 4*y. Let j = -6 + v. Suppose b - 27500000 = -j*b. What is b rounded to the nearest 1000000?
6000000
Suppose -z = -4*a + z + 11959996, -4*z = 4*a - 11960008. What is a rounded to the nearest one hundred thousand?
3000000
Let s = -18.5 + 14. Let v = s + 12. What is v rounded to the nearest integer?
8
Let y be (-19672)/4*(-182 + -1). Suppose 2*v = 3*p - y, 3*p - 1200006 = -p - 2*v. Suppose 0*b - b = -p. Round b to the nearest one million.
0
Let d(n) be the second derivative of -467*n**3/6 - n**2/2 + 3*n. Let k be d(-3). What is k rounded to the nearest 1000?
1000
Let q = 337.999641 - 338. What is q rounded to 4 decimal places?
-0.0004
Let s = -0.832960015 + -4123250557.167039985. Let z = 4123250440.99999874 + s. Let t = 117 + z. What is t rounded to 7 decimal places?
-0.0000013
Let o = -188 + 193.32. What is o rounded to the nearest integer?
5
Let r(t) = -t + 6. Let s be r(3). Suppose -3997446 + 397446 = -s*k. Round k to the nearest one million.
1000000
Let t = 220002 - 219998.34347. Let x = t - 0.05553. Let w = 3.44 - x. What is w rounded to two decimal places?
-0.16
Let l = -1.9 - -1.8999994. Round l to 7 dps.
-0.0000006
Suppose 5*b = 11730 - 100730. Round b to the nearest one thousand.
-18000
Let c = 42 - 44.03. Let p = -2 - c. What is p rounded to two decimal places?
0.03
Suppose -120 = -80*x + 84*x. What is x rounded to the nearest one thousand?
0
Let q = -0.34 + 0.276. Let k = -13951304.93600069 + 13951305. Let p = q + k. What is p rounded to 7 decimal places?
-0.0000007
Let p(s) = -804*s**2 - 3*s - 3. Let y be p(5). Let f be (-8)/(-14) - y/(-49). Round f to the nearest one hundred.
-400
Let o = -2089305 - -2089094.0089. Let m = o + 211. What is m rounded to three decimal places?
0.009
Let p = 0.2 - 0.6. Let w = p + 0.4000064. What is w rounded to six decimal places?
0.000006
Let i = 3726.7 - 3711.7216. Let t = 15 - i. What is t rounded to three dps?
0.022
Let d = -383 + 565. Let c = d + -183.27. What is c rounded to 1 dp?
-1.3
Let o(g) = -g**3 - 5*g**2 + 7*g + 8. Let n be o(-6). Let z = n + -8. Let a be (-768002)/z + (-1)/3. Round a to the nearest 10000.
130000
Let r = -20 - -20.0002. What is r rounded to three decimal places?
0
Let y = -0.168 + 0.167999966. What is y rounded to 7 dps?
0
Let j = -89250 - -89305.903. Let q = 0.097 + j. Let i = q + -56.000058. Round i to five decimal places.
-0.00006
Let y = 106 + -105.9953. What is y rounded to three decimal places?
0.005
Let o = 20.56 + -16.5. Let g = -4 + o. Let m = g - -0.081. Round m to two decimal places.
0.14
Let j = 71.43051 + 0.40549. Let p = -72 + j. What is p rounded to two dps?
-0.16
Suppose -4*r = 4*o - r - 40781, 3*o - 30602 = r. Suppose 2 = -a - 0*a, 3*v + a - 53095 = 0. Let p = v - o. Round p to the nearest one thousand.
8000
Let k = 17840 - 17830.611. Let v = 2.881 + k. Let x = -11.7 + v. What is x rounded to 1 decimal place?
0.6
Let p = -39 + 6. Let n = 33.00000043 + p. What is n rounded to seven decimal places?
0.0000004
Let o be (0 - 0)*2/(-4). Suppose o = -s + 2*c - 9231 + 1141, -3*s - 24285 = -3*c. Round s to the nearest 1000.
-8000
Let c = -2853325 - -6653325. Suppose -4*r - c = r. Round r to the nearest 100000.
-800000
Let a = -1749038 - -1749037.96600084. Let z = 28.034 + -28. Let i = z + a. Round i to seven dps.
0.0000008
Let d = 7561.87 + -7597. Let l = -0.13 - d. Let c = l - 28.3. What is c rounded to zero dps?
7
Let v = 172090.9949 - 172099. Let q = 8.2 - 0.2. Let b = v + q. What is b rounded to three decimal places?
-0.005
Let c = -0.0366 + 11.7166. Let l = c - 12. Round l to one dp.
-0.3
Let l(g) = g + 4. Let t be l(10). Let q be ((-4)/(-2))/(7/t). Suppose -290 = 3*x - q*x. What is x rounded to the nearest 100?
300
Let b = -97739.514 + 184272.481. Let y = b - 86599. Let f = y + 66. Round f to 2 decimal places.
-0.03
Let b = -0.8 + -4.2. Let g = 8329984.999999 + -8329980. Let l = g + b. Round l to 6 decimal places.
-0.000001
Suppose 385817 = 2*k + 4*h + 113805, -6 = -2*h. What is k rounded to the nearest ten thousand?
140000
Let r(s) be the second derivative of 23*s**3/6 - s. Let l be r(1). Let i = 9 - l. Round i to the nearest 10.
-10
Let b = 11 - 7. Let d(h) = 3126*h**2 - 4*h. Let x be d(b). What is x rounded to the nearest ten thousand?
50000
Let i = -12.999993 - -13. Round i to six decimal places.
0.000007
Let d = 0.3803 - 0.38. Round d to 4 dps.
0.0003
Let x = 19924396.08000134 + -19924397. Let s = x + 0.92. Round s to 7 decimal places.
0.0000013
Let m = 3.04 - 3. Let t = 164026 - 164025.9600012. Let x = t - m. What is x rounded to six dps?
-0.000001
Suppose 5*c + 2355000 = 10*c. What is c rounded to the nearest 100000?
500000
Let b = -69 - -68.923. What is b rounded to 2 dps?
-0.08
Let v = 90.0298 + -89.9. Let c = v + -0.13. Round c to four dps.
-0.0002
Let m = 40.2 + -37. Let b = m - -0.8. Let j = 3.9999984 - b. Round j to 6 dps.
-0.000002
Let g = 0.04453 - 0.19145. Let c = 13.84028 - g. Let h = 14 - c. What is h rounded to 3 decimal places?
0.013
Let i = -7 + 14. Let v = 6.9995 - i. Round v to four dps.
-0.0005
Let f = -32 - -31.9996. What is f rounded to three decimal places?
0
Let s = 0.07 - -4.93. Let w = s + -5.02. Let c = w + -2.48. What is c rounded to the nearest integer?
-3
Let u(f) = -16301*f**3 + 11*f**2 - 9*f - 10. Let c be u(10). Round c to the nearest 1000000.
-16000000
Suppose 4*g - 37834 = -5034. Round g to the nearest one thousand.
8000
Let i = 18 - 18.03. Let p = 0 + i. What is p rounded to 1 decimal place?
0
Let o = 103 + -102.9999953. What is o rounded to 6 | {
"pile_set_name": "DM Mathematics"
} |
06 - 502 = r. Determine j(r).
12
Let y = 0 + 0. Let n(k) be the first derivative of -k**3/3 - k**2/2 - 3*k - 460. Determine n(y).
-3
Suppose 0*m - 5*m = -35. Let y(n) be the first derivative of -m + 0*n + 1/3*n**3 + 5/2*n**2. Give y(-4).
-4
Let z(n) be the first derivative of n**4/4 + 2*n**3 - n**2 - 6*n + 470. Determine z(-6).
6
Let u(s) be the second derivative of -s**4/12 + 5*s**3/6 + 5*s**2/2 - 4*s. Let g be (-11)/(-33) - 34/(-6). Determine u(g).
-1
Let y(a) = 6*a**3 - 16*a + 6*a**2 + 49 + 58 - 5*a**3 - 109. Give y(-8).
-2
Let t(s) = -2*s**2 + 3*s + 5. Let p be t(3). Let c(v) = -9*v + 1. Give c(p).
37
Let g(n) = -n. Let q(m) = -2*m - 2. Let b = -27 + 20. Let i = b + 3. Let w(y) = i*g(y) - q(y). What is w(-2)?
-10
Let v(y) = 13*y. Suppose -3*d + 6 = 5*g + 4, -2 = -2*d - 4*g. Calculate v(d).
-13
Suppose 25*d - 12*d = -78. Let v(f) = 3*f - 8. Give v(d).
-26
Let w(g) be the first derivative of -g**2 - g + 44. Suppose -3*u + 2 + 1 = 0. Calculate w(u).
-3
Let p(l) = -l**3 - 5*l**2 - 6*l - 1. Suppose -9*h + m + 8 = -10*h, -2*m = h + 12. Determine p(h).
7
Let d be (2 - -1)*3*(-92)/(-207). Let n(z) = z**3 - 4*z**2 - 3*z. Give n(d).
-12
Let b be 1/3 - (-2)/9*3. Let f(q) = -7*q**3 + q**2 + 2*q - 2. What is f(b)?
-6
Suppose -y + 5*m - 14 = 0, 7*y - 4*y + 5*m = 58. Suppose -35 + y = -6*f. Let v = f - 8. Let q(i) = -i**3 - 4*i**2 - i. Calculate q(v).
4
Let y = -777 + 782. Let j(c) = -c**2 + 5*c - 2. Calculate j(y).
-2
Let d(z) = 3*z - 96*z**2 - 3*z - z + 21 + 95*z**2. Determine d(0).
21
Suppose -3*l = 3*t - 30, 3*l + 0*l = -t + 24. Suppose 0 = 2*r + 2 - 24. Let w = l - r. Let a(h) = h**2 + 3*h + 2. Calculate a(w).
6
Let h(q) = q**2 + 6*q + 2. Suppose -z - 26 = 3*i + z, 5*i = 2*z - 54. Let r(u) = -u**2 - 13*u - 11. Let p be r(i). Let x be p/(-7) + (-2)/7. Determine h(x).
-7
Let h(z) = z**2 + 4*z. Let m = 61 + -58. What is h(m)?
21
Let k(z) = -z - 3. Suppose -4*h = 5 - 21. Suppose -h*w + 0*w = -32. Let c be (18/w)/((-15)/40). Give k(c).
3
Let a be ((-6)/12)/((-1)/20). Let j be a/(3 + (-3)/3). Let x(h) = 5*h**2 - 9*h - 5. Let r(k) = 6*k**2 - 10*k - 5. Let y(w) = -4*r(w) + 5*x(w). Give y(j).
-5
Suppose -17*x - 12 = -13*x. Suppose 3*n + 15 = 3*a, a - 2*a + 5 = n. Let w(p) = n*p + p - p - p + 2. Calculate w(x).
5
Suppose 0 = -36*h + 36 + 288. Let s(o) = -o**3 + 10*o**2 - 8*o - 9. Determine s(h).
0
Let p(s) = 7*s + 1. Let f(y) be the second derivative of y**3/6 - 5*y**2/2 - 2*y. Let u be f(-6). Let w = u + 9. Give p(w).
-13
Let v(g) = 4*g - 21. Let s be v(6). Let p(h) be the third derivative of -h**4/8 + h**3/6 + h**2. Give p(s).
-8
Suppose -5*a - 2*y + 17 = 0, -4 = -y - 3*y. Suppose 0 = a*b + 2*b - 10. Let c(g) = g**2 - 3*g + 2. Determine c(b).
0
Let l = -5 + 2. Let z(k) = -k**2 + 1. Let v(o) be the second derivative of -o**3/3 - o**2/2 - 13*o. Let x(p) = -v(p) + z(p). Calculate x(l).
-13
Let a be 11/4 + 2/8. Let r(m) = -17*m - 8. Let d(q) = -12*q - 7. Let f(z) = 4*d(z) - 3*r(z). Determine f(a).
5
Let a = 0 + 0. Let h(u) = -3*u**2 - 7. Let y(p) = 5 - 9516*p**2 + 9524*p**2 + 16. Let m(x) = -11*h(x) - 4*y(x). What is m(a)?
-7
Let f(y) = y**2 - 4*y + 5. Let c(g) = -g**2 + 4*g - 5. Let i = 41 - 47. Let t(d) = i*f(d) - 5*c(d). Give t(4).
-5
Suppose 15*o = -13*o - 56. Let z(s) = 4*s**3 + s**2 + 3*s + 1. Give z(o).
-33
Let s(n) be the second derivative of 5*n**3/6 - 5*n**2 + 971*n. Give s(-3).
-25
Let u(q) = 1. Let y(b) = -b - 3. Let j = -3 - -5. Let s(w) = j*u(w) - y(w). Suppose 0 = 38*x - 0*x - 25*x. Determine s(x).
5
Let n(c) = 2*c + 3. Let o(w) = -w - 4. Let r(p) = -3*n(p) - 2*o(p). Suppose 222 = -5*m + 282. Let j be 50/(-20)*m/(-15). What is r(j)?
-9
Suppose -4*i + 5 = -11. Let f(a) = a**2 + i*a + 2*a + 2 + 3*a. Determine f(-8).
-6
Let i(f) = -9*f + 10*f + 9 - 14. Give i(-4).
-9
Let s be 5/(-5) - (-9)/((-45)/10). Let c(j) = -j**3 - 3*j**2 - j - 5. What is c(s)?
-2
Let k = -849 - -855. Let y(b) = -10*b + 6. Determine y(k).
-54
Let c = -16 - -9. Let z(d) = 7*d**3 + d**2. Let x(a) = -20*a**3 - 4*a**2 + 1. Let u(t) = -6*x(t) - 17*z(t). What is u(c)?
-6
Let b(r) = r**2 + 4*r - 663. Let n be b(-28). Let c(w) = w**3 - 11*w**2 + 18*w + 9. Determine c(n).
9
Let g(t) = -4*t - 14. Let n(x) = 9*x + 26. Let a(p) = -7*g(p) - 3*n(p). What is a(-10)?
10
Suppose 20 = -8*z - 12. Let c(s) = -2*s + 6. Give c(z).
14
Let s(p) = 3*p - 1988 + 1983 - 2*p + 0*p. Give s(12).
7
Let x = -24 - -21. Let o be 4 + 6 + x + -13. Let f = 2 - o. Let c(s) = -s**2 + 8*s - 3. Calculate c(f).
-3
Let m(z) = -3*z - 3 - z**2 + 9 - z + 5*z. Let k be m(0). Let v(w) = 4 - k + w + 2. Calculate v(-4).
-4
Let m(z) be the third derivative of 0*z + 0 + 3/2*z**3 + 5*z**2 + 1/24*z**4. Calculate m(-4).
5
Let j(w) = w**2 - 3*w - 3. Suppose -5*n - 195 = -4*f, -f = 4*n + f + 156. Let d = 43 + n. What is j(d)?
1
Let t = 0 + 3. Let d(i) = i + 9. Let s be d(-6). Let l(n) = t*n**3 - 3*n + 1 + 0*n + n + s*n**3. Calculate l(1).
5
Let m(b) be the first derivative of b**4/4 + b**3/3 - b + 1. Suppose -25*z + 26 = -77*z + 26*z. What is m(z)?
-1
Let c(f) be the second derivative of -f**5/20 - 5*f**4/12 + 5*f**3/6 - 4*f**2 - 28*f + 1. Give c(-6).
-2
Let b(o) = -4*o**2 - 8*o - 6. Let a(u) be the first derivative of 5*u**3/3 + 4*u**2 + 5*u - 10. Let z(s) = 3*a(s) + 4*b(s). Give z(-6).
3
Suppose -3*t - 74 = -83. Suppose -3*l = -4*i - 2, 2*i = -i + t*l. Let j(r) = 7*r - 1. Calculate j(i).
-15
Let i(q) = -3*q**2 - 4*q + 4. Let s(w) = -w + 1. Let d(r) = r**2 + 2*r - 4. Let j(y) = -d(y) - 3*s(y). Let a = 28 + -29. Let p(k) = a*i(k) + 2*j(k). Give p(-6).
-2
Let m(z) = -z**3 - 4*z**2 - 5*z + 8. Let b(h) = h**3 + 5*h**2 + 4*h - 9. Let w(x) = 5*b(x) + 4*m(x). What is w(-9)?
-13
Let f(p) = -p**3 + 6*p**2 - 3*p - 4. Let z(a) = 6*a - 10. Let r = -10 - -5. Let v(g) = -5*g + 9. Let o(c) = r*v(c) - 4*z(c). Let u be o(10). Give f(u).
6
Let o(x) = -x**3 + 13*x**2 + 13*x + 20. Let v be o(14). Let s(a) = -v*a - a**2 + 6 - 6. Give s(-6).
0
Let g(u) = u**2 + 4*u + 3. Let l(q) = -7*q - 76. Let m be l(-10). Determine g(m).
15
Let h(k) = -3*k - 5. Let w(q) = q - 1. Let r(c) = -h(c) + 4*w(c). Let l(i) be the third derivative of -i**4/24 - i**3/6 - 3*i**2. Let b be l(0). Give r(b).
-6
Let m(h) be the first derivative of -h**4/4 + 4*h**3/3 - 3*h - 13. Suppose -2*c - c + 57 = 4*q, -3*c = -4*q + 39. Let d = q - 9. Calculate m(d).
6
Let m be 12/3 - (-1 + 0). Suppose -m*l - 25 = -10*l. Let q(h) = -h + 1 - 4 - 1. Give q(l).
-9
Let x be (0 - 0)*21/(-63). Suppose 5*v = -x - 25. Let b(l) = 2*l**2 + 6*l - 7. Determine b(v).
13
Suppose 4 = o - 0. Let f(p) = -3*p**3 - 22*p**2 + 20*p + 14. Let m(d) = -2*d**3 - 12*d**2 + 11*d + 8. Let a(l) = 3*f(l) - 5*m(l). Give a(o).
-10
Suppose -s - 36 = 3*s. Let k(o) = 2*o**2 - 5*o + 10. Let i(h) = -h**2 + 6*h - 11. Let y(u) = -3*i(u) - 2*k(u). Let q be y(s). Let a(f) = -f - 3. What is a(q)?
-7
Suppose 2*j - 1 - 3 = 0. Suppose j*p + 14 - 2 = 0. Let a(x) = 2*x**2 + 2*x**2 - 58 + 4*x + 56 - 3*x**2. Give a(p).
10
Let t(f) = -f**3 - 5*f**2 + f + 1. Let q(l) = -l**3 - l**2 + 14*l + 4. Let p be q(-4). Give t(p).
-19
Let w(b) = 1822*b - 616*b - 620*b - 603*b. Give w(2).
-34
Let u = -7 - -12. Suppose 2*o + 2 = -h + u*h, h + 10 = -3*o. Let k(y) = y**3 + 4*y**2 - 2. What is k(o)?
7
Suppose 2*h + 3 = 3*k + 5*h, 0 = 3*k - 2*h - 8. Let d be (-20)/6 + k/(-3). Let p(w) = 737*w + 741*w + 0 - 2952*w + 736*w + 737*w + 1. Give p(d).
5
Let s(y) = y - 8. Let l be s(8). Let x(k) = 3*k - 1 + l*k - k + 0*k. Let f(i) = -i. Let a(d) = 6*f(d) + 4*x(d). Give a(3).
2
Let a(v) = 386*v + 50 + 398*v - 798*v. Give a(3).
8
Let l(i) be the third derivative of -i**6/120 - i**5/6 - i**4/2 - i**3/3 + 39*i**2. Give l(-9).
25
Let c(p) = p**2 + 11*p - 148. Let x be c(-19). Let l(w) = -w**3 - w**2 + 7*w - 6. Give l(x).
-58
Let m(y) = y**2 - 11*y + 19. Let o(k) = k**2 - 11*k + 20. Let u(c) = -7*m(c) + 6*o(c). Determine u(11).
-13
Let b(n) = 31 - 13 + 6*n + n**3 - n**2 - n**2 - n**2 - 20. What is b(2)?
6
Let x(l) = 7*l**3 - 3*l**2 + 3*l - 6. Let q(b) = 2*b**3 + b**2 - b + 1. Let a(r) = 4*q(r) - x(r). Calculate a(-8).
2
Let y = 151 - 149. Let v(r) = 3*r**3 + r**2 - r + 1. Give v(y).
27
Let b(j) = -j**2 - 5*j - 6. Let s = -260 - -280. Suppose 5*u = 5*r + 140, 2*r + 34 = -3*u - 12. Let o = s + r. What is b(o)?
-12
Let m be 15*-1*4/(-12). Let r(n) be the second derivative of | {
"pile_set_name": "DM Mathematics"
} |
8 = -5*n + 4*z, z + 277 = -5*n + 39. Let g = -25 - n. Suppose -p - 32 = -5*p. Calculate the remainder when g is divided by p.
7
Calculate the remainder when 24 is divided by (-9 - -5) + -3 + 13.
0
Suppose -2*v + v = 3, 3*n = 2*v + 33. Calculate the remainder when -3*(-2)/(-3)*-4 is divided by ((-6)/n)/(2/(-9)).
2
Let l be 2/1 + (3 - 4). What is the remainder when 47 is divided by ((-18)/45)/(l/(-30))?
11
Let n(w) = -2*w + 1. Calculate the remainder when 49 is divided by n(-6).
10
Suppose -13*s + 10*s + 9 = 0. Calculate the remainder when 7 is divided by s.
1
Let i = 11 + -25. Let h be 4/(-14) + 192/i. Calculate the remainder when 26 is divided by (-192)/h + (-4)/(-14).
12
Let u be (-4)/(-20) + (-4)/(-5). Suppose 39 - u = 2*o. Let j = 0 - -7. What is the remainder when o is divided by j?
5
Let b be (-4)/16 + 51/12. Calculate the remainder when 19 is divided by (2/(-3))/(b/(-66)).
8
Suppose 0 = 20*z - 23*z + 246. What is the remainder when z is divided by 12?
10
Suppose 0 = -3*y + 2 + 4. Suppose -5 = -t + h, 0*t - 4*t + 6 = 3*h. Calculate the remainder when t is divided by y.
1
Let i(o) = -3*o - 8. What is the remainder when 11 is divided by i(-5)?
4
Suppose 7*j - 9*j - 58 = 0. Let c = j - -41. What is the remainder when 22 is divided by c?
10
Suppose 5*b + 17 = -2*q - 4, -5*b - 33 = -4*q. Let u = -12 + q. What is the remainder when 23 is divided by (4/(-5))/(1/u)?
7
Let t = 53 + -48. Calculate the remainder when 15 is divided by t.
0
Suppose 4*t - 3*s = 111, 3*t + 11 - 73 = -2*s. What is the remainder when 25 is divided by (26/(-8))/((-6)/t)?
12
Suppose 0 = -3*m - 0*m - 18. Let k = 4 - m. Let a = -10 - -38. What is the remainder when a is divided by k?
8
Let o = 90 + -28. What is the remainder when o is divided by 13?
10
Let p = -1 + 4. Let d = 3 - p. Suppose 2*o = -d*o + 12. Calculate the remainder when 17 is divided by o.
5
Let j = -73 + 104. What is the remainder when 369 is divided by j?
28
Suppose 0 = -4*n + 18 + 6. Calculate the remainder when 14 is divided by n.
2
Suppose 3*q - 4*q + 12 = 0. Let v(l) = 2*l**2 - 2*l + 7. Let y be 84/18 - (-1)/3. Calculate the remainder when v(y) is divided by q.
11
Let d(u) = 2*u**2 + 7*u + 14. Calculate the remainder when d(5) is divided by 34.
31
Let m(f) = 2*f**3 + 1. Let i be m(1). Suppose -i*l + 15 = -2*l. Let c = 99 - 91. Calculate the remainder when l is divided by c.
7
Let y be ((-27)/6)/((-2)/8). Let x = 28 - y. Suppose -2*g = 4*q - 18, -3*g - 4*q = -x - 17. Calculate the remainder when 25 is divided by g.
7
Let o(p) = -2*p + 1. What is the remainder when 4/(-10) - (-254)/10 is divided by o(-3)?
4
Let n be (-2)/6*(-1 - -1). Suppose b + 3*b - 400 = n. Suppose -3*l = l - b. What is the remainder when l is divided by 13?
12
Suppose 3*q = -4*m + 144, -2*q - 6*m = -7*m - 96. Calculate the remainder when 92 is divided by q.
44
Suppose 4*z - 23 + 7 = 0. Let u be 2/(-4) - (-6)/(-4). Calculate the remainder when 5 is divided by 13/z - u/(-8).
2
Let x = -28 + 17. Let j = 8 + x. Let v = 28 + j. Calculate the remainder when v is divided by 7.
4
Suppose 5*s + 25 - 75 = 0. Let g(y) = -y - 57. Let b be g(0). Let o = 96 + b. What is the remainder when o is divided by s?
9
Let i(n) = -n**3 - 4*n**2 - 3*n. Let f be i(-3). Suppose f = 2*l - l - 29. Calculate the remainder when 113 is divided by l.
26
Suppose 44 = 3*q + 5. Calculate the remainder when 2/(-4)*(1 + -75) is divided by q.
11
Suppose 2*k - 86 = -5*o, 42 = k + 3*o - o. Calculate the remainder when k is divided by 13.
12
Let p(d) = d**2 + 38. Suppose 2*n = 3*l - 38, -3*l - 4*n + 5*n + 34 = 0. What is the remainder when p(0) is divided by l?
8
Suppose -10 = -5*p, 4*p - 4 - 10 = -3*t. Let w(l) = -l**2 + 3*l + 2. Let h be w(t). Suppose -h = -4*u - 0*u. What is the remainder when u is divided by 1?
0
Let v(x) = 3*x**2 + 15*x + 2. Calculate the remainder when v(-10) is divided by 14.
12
Let s(a) = -a**3 + a - 3. Suppose 8 = -p + 4*k, -2*p + k = -0*k + 2. Let v be s(p). Calculate the remainder when 14 is divided by v/6 + 22/4.
4
Suppose 14 = 2*o - 12. What is the remainder when 47 is divided by o?
8
What is the remainder when 2/7 + (-299)/(-7) is divided by 17?
9
Suppose -9*g + 9 = -18. Calculate the remainder when 9 is divided by g.
0
Let t(u) = u**3 + 6*u**2 + 5*u + 3. Let y(o) = -o**2 - 2*o + 3. Let p be y(2). Calculate the remainder when t(p) is divided by 3.
0
Suppose 0 = 4*j - 3*v - 389, -4 = -3*v + 11. What is the remainder when j is divided by 26?
23
Suppose 0*w = -w + 12. Let c(k) = 20*k + 1. Let g(j) = j + 1. Let r be g(0). Calculate the remainder when c(r) is divided by w.
9
Suppose -50 = -a + 16. Calculate the remainder when a is divided by 17.
15
Let f(p) = p**2 + 4*p - 2. What is the remainder when f(-9) is divided by 14?
1
Suppose -q = 2*x - 174, q - 5*x + 3*x - 190 = 0. Calculate the remainder when q is divided by 46.
44
Suppose -5*q + 60 = 4*z, 2*q = 3*z + q - 26. What is the remainder when z is divided by 5?
0
Let q = 111 + -21. What is the remainder when q is divided by 23?
21
Let f = -22 - -41. Calculate the remainder when 75 is divided by f.
18
Let l be (-2)/(-5) + (-618)/(-30). Suppose a - l = -4*u, u = -u + 6. What is the remainder when 16 is divided by a?
7
Let w(v) = -v**3 + 7*v**2 - v + 4. Let h be 1 - 3 - (-27)/3. Let l be w(h). Calculate the remainder when (138/l)/(1/(-1)) is divided by 16.
14
Let r be 3/4*(-4 - 0). Let i be (11/(-2))/(5/10). What is the remainder when 17 is divided by 0/r - 2 - i?
8
Suppose -h + 62 = y, h - 6*h = 4*y - 308. Calculate the remainder when h/3*(-1)/(-2) is divided by (6/(-5))/(6/(-20)).
2
Let u = -29 - -61. What is the remainder when 62 is divided by u?
30
Suppose 0 = -4*h + 2*h. Let u be -8 - 2*(-1 + h). What is the remainder when 27 is divided by (14/(-6))/(1/u)?
13
Let w be (4/(-4))/(2/4). Let c = 3 + w. What is the remainder when (-2 + 3 + 26)*c is divided by 14?
13
Let n = 88 + -32. Let f(d) = d**3 + d**2 - 32. Let x be f(0). Let o = n + x. Calculate the remainder when o is divided by 9.
6
Let x(j) = -j**3 + 11*j**2 + j + 27. Calculate the remainder when x(11) is divided by 10.
8
Suppose 10*l - 14*l + 52 = 0. Calculate the remainder when 103 is divided by l.
12
Suppose -3*g = -2*g - 5. Let b be 2/g + 144/15. Suppose -v + b = -12. Calculate the remainder when v is divided by 8.
6
Let i = 0 + 1. Suppose w - 3 = -i. Suppose -4 = -3*j + w. What is the remainder when 5 is divided by j?
1
Suppose 4*k + 100 = 4*c - 0*k, 0 = 5*c - 3*k - 125. Suppose -13 = -4*s - 3*z, s = -2*z + 3*z + 12. What is the remainder when c is divided by s?
4
Calculate the remainder when 55 is divided by (116/8)/(-1*2/(-4)).
26
Suppose -6 = -3*l - 3*i, 5*l - 2*i = l + 26. Let t be -1*4/(12/(-9)). Suppose -l*s + t = -2. What is the remainder when s is divided by 1?
0
Suppose -2*r + 13 = 2*v - r, -5*v + 16 = -3*r. Suppose -2*w + t = -w - 3, 0 = 4*w + 4*t - 12. Calculate the remainder when v is divided by w.
2
Let u = 0 + -1. Let d(j) = -3*j**3 - j - 1. Let y be d(u). Calculate the remainder when 26 is divided by 15*2/(10/y).
8
Let b = 9 - 5. Let x = b - 3. Let d(l) = 6*l + 1. What is the remainder when d(x) is divided by 4?
3
Suppose 0 = -8*l - 56 + 136. What is the remainder when l is divided by 2?
0
Let a(x) = -14*x + 1 + 5*x - 3*x + x**2. Let s be a(6). Let p = s + 49. Calculate the remainder when 27 is divided by p.
13
Let k(l) = l**3 - 8*l**2 + 3*l + 2. Suppose 0 = -5*y - 4*r + 32, -4*r + 5*r = 2*y - 18. What is the remainder when k(y) is divided by 14?
12
Let s(w) = -3*w + 24. Calculate the remainder when s(-16) is divided by 25.
22
Suppose n = 4 + 3. Let j = 14 - n. What is the remainder when 150/14 - (-2)/j is divided by 4?
3
Let s be 1/(-3) - 434/21. Calculate the remainder when 10/(-3)*18/(-15) is divided by (-57)/(-21) - 6/s.
1
What is the remainder when ((-357)/(-102))/(1 - 10/12) is divided by 4?
1
Suppose 3*y - 37 = -1. Let z = y + 17. Calculate the remainder when z is divided by 15.
14
Suppose -w + 16 - 5 = 0. Calculate the remainder when 32 is divided by w.
10
Let a = 41 - 32. Calculate the remainder when 20 is divided by a.
2
Suppose -4*h = -h - l - 9, 3*h - 4*l - 18 = 0. What is the remainder when 8 is divided by h?
0
Let g be 74/4 + (-1)/2. Let s = 6 + g. Calculate the remainder when s is divided by (116/(-145 | {
"pile_set_name": "DM Mathematics"
} |
- 1 - 2. Put a, 4, y in descending order.
4, a, y
Let t = 15 - 16. Let w(k) = k**2 - 4*k - 2. Let h be w(4). Sort 3, t, h.
h, t, 3
Suppose 4 = w - 3*w. Let y be -3 - (-3 + (1 - 0)). Sort w, y, -0.3 in ascending order.
w, y, -0.3
Let x be 6/(-9)*(-3)/2. Suppose -4*w - 7 = -23. Suppose 5*m - 11 = w, -k + m - 6 = 0. Put k, x, 0 in decreasing order.
x, 0, k
Suppose -2*n = 2*c + 14, 5*n + c + 12 + 7 = 0. Suppose 2*d - 5 = -3*f, -2*f = 3*f - 4*d + 21. Sort n, f, 5 in ascending order.
n, f, 5
Let t = -40 + 121/3. Let l = 14478/5 - 2914. Let i = 18 + l. Sort i, -2/9, t in decreasing order.
t, -2/9, i
Suppose -3*b = b + 12. Let p be b/(-1) + (-8 - -10). Suppose -4*n = -4*o + o + 18, -o + 3*n = -11. Put 1, p, o in descending order.
p, o, 1
Suppose 0*y - y - 3*n - 4 = 0, -4*y - 5 = n. Put -4, y, 4 in ascending order.
-4, y, 4
Let g be (-48)/9630*274/(-8). Let o = -4/107 + g. Sort -3, -5, o in decreasing order.
o, -3, -5
Suppose 0 = y - 3*q - 15, 4*y - 2*q = -5*q. Sort -1/2, y, 4, 7 in ascending order.
-1/2, y, 4, 7
Let p = 4 + -7. Put -5, p, -2/9 in ascending order.
-5, p, -2/9
Let b be (-2)/8 + (-92)/(-48). Put 4, b, -2 in descending order.
4, b, -2
Suppose 0 = -g + 3*g + 2. Sort -0.5, 4, g in decreasing order.
4, -0.5, g
Suppose 5*p - 10 = 3*d - 4*d, -3*d = 2*p - 17. Sort 0, 3, d in decreasing order.
d, 3, 0
Let f(o) = o - 10. Let n be f(7). Let b = 3 + -8. Put -4, n, b in decreasing order.
n, -4, b
Let r be 2*(-1 - (-1 + 1)). Let o = 3.1 - 3. Let n = 1.9 + -0.9. Sort o, n, r in descending order.
n, o, r
Suppose 5*y - 80 = y. Let b be -1*(-1)/(8/y). Put 0.2, b, -2 in descending order.
b, 0.2, -2
Let o be (-2)/(30/(-9)) - 1/(-15). Let m(c) = c**3 + 4*c**2 + 2*c - 2. Let l be m(-2). Suppose 0*n = l*n + 8. Put n, o, 4 in decreasing order.
4, o, n
Suppose 137*a + 3 = 134*a. Put 5, -2, a in ascending order.
-2, a, 5
Let a(j) = -j**3 + 6*j**2 - 2*j + 11. Let m be a(6). Suppose 14 = -3*x - 3*i - i, 0 = 4*x + i - 3. Suppose -3*l = -7*l - 20. Sort x, l, m in descending order.
x, m, l
Let q = 28 + -24.2. Let l = 4 - q. Suppose d - 1 = -0*d. Put d, -5, l in increasing order.
-5, l, d
Suppose 3*u - 4*u + 2 = 0. Sort 0, -2, u in ascending order.
-2, 0, u
Let r(m) = -14*m + 1. Let y be r(1). Sort y, 4, 5 in increasing order.
y, 4, 5
Suppose 2*l + 12 - 18 = 0. Put l, -5, -7 in decreasing order.
l, -5, -7
Suppose 0 = -3*g + f - 5*f - 26, 5*g = -f - 15. Put 3, g, 2 in descending order.
3, 2, g
Let f = 25 - 41. Let d = f + 12. Put d, 2, 0 in descending order.
2, 0, d
Let g = -4.06 + 0.06. Let d = g + 7. Sort 0, 1/4, d in descending order.
d, 1/4, 0
Let m(w) be the first derivative of w**4/4 - 5*w**3/3 - w**2/2 + 2*w - 5. Let x be m(5). Put -5, x, 2 in increasing order.
-5, x, 2
Let s(m) = -m + 7. Let g be s(-7). Let d(y) = 3 - 11*y - y**3 - 11*y**2 + 0*y**3 - g - 3. Let z be d(-10). Sort 2, -2, z.
z, -2, 2
Let b = 9 + -9. Let n be 1*(2 - (-2 - 1))/(-1). Put b, -0.2, n in decreasing order.
b, -0.2, n
Suppose 3*y + 0 + 3 = s, -3*s - 9 = 0. Sort y, 4, -12 in increasing order.
-12, y, 4
Suppose 0 = 2*k - 10*k. Sort 2, 1/7, 6, k.
k, 1/7, 2, 6
Let q = 3 - 3. Let h = 0.5 - q. Let p = -1.4 + 1. Put p, h, 3/2 in ascending order.
p, h, 3/2
Let c be (-4)/(-8) + 14/4. Let q = c - 1. Let t = 0.3 - 0.6. Sort t, 1, q in ascending order.
t, 1, q
Let x be ((-2)/4)/(25/150). Sort 5, x, 2 in descending order.
5, 2, x
Let y = 94 + -95. Put 5/4, -5, -4, y in ascending order.
-5, -4, y, 5/4
Let g(l) be the first derivative of l**3/3 - 7*l**2/2 - 7*l - 1. Let x be g(8). Let c(j) = 2*j - 1. Let o be c(0). Put o, x, -2 in descending order.
x, o, -2
Let o(y) = y - 1. Let r be o(5). Let i = 3 - r. Sort i, 3, 2 in increasing order.
i, 2, 3
Let z(b) = 4*b - 1. Let s = 5 + -6. Let p be z(s). Sort p, -3, 4 in descending order.
4, -3, p
Let a be (1 + (-2)/1)*(-2)/1. Let s = -3 + 1. Let x be (2/(-4))/((-1)/s). Put a, 4, x in decreasing order.
4, a, x
Let w = 41.05 - 41. Sort w, 2/3, 5 in ascending order.
w, 2/3, 5
Let o(f) = 4*f + 49. Let a be o(-12). Let b = -8 - -6. Let v be 2/(-4) - 14/(-4). Put v, b, a in decreasing order.
v, a, b
Suppose 2*i = 5*i + 9. Put -7, 2, i in descending order.
2, i, -7
Let w = 6 + -6. Let p(s) = s - 4. Let h be p(w). Let i be 6/h - 3/6. Put -4, -1, i in decreasing order.
-1, i, -4
Let f be 5*(1 + (-3)/(-5)). Suppose f = 3*u - u. Suppose 5*d - 5 = 2*r, -d + r = 4*d - 10. Put 0, u, d in ascending order.
0, d, u
Let d be ((-15)/((-30)/8))/(0 - 5). Sort d, 1/3, -0.2.
d, -0.2, 1/3
Let s = 1.6 - 1.4. Let x = s + -0.6. Sort -0.5, 2/5, x in ascending order.
-0.5, x, 2/5
Let r = 26 - 28. Sort r, -12, -5 in descending order.
r, -5, -12
Suppose 25*l - 29*l - 8 = 0. Put l, -3, 0 in descending order.
0, l, -3
Let b = 29 + -24. Let f = -3 - -5/2. Sort b, 1/2, f in descending order.
b, 1/2, f
Let w be (2/5)/((-32)/100). Sort w, -2/5, -0.1 in increasing order.
w, -2/5, -0.1
Let i = 279/2 - 142. Let y = 1.6 + -9.6. Let z = y + 5. Sort i, z, 1.
z, i, 1
Let p(h) = -2*h. Let u be p(2). Let q be (6/(-4))/((-21)/28). Sort u, q, -5 in increasing order.
-5, u, q
Let p = 71/310 + -4/31. Let g = -0.8 - -1.8. Sort g, 2/9, p in increasing order.
p, 2/9, g
Let p = 11 + -7. Let w = p + -1. Put w, -3/4, -2/3 in descending order.
w, -2/3, -3/4
Let j = 16/555 - 6/37. Put -7, 0, j in decreasing order.
0, j, -7
Let b(g) = -g + 3. Let m be b(3). Let t = -6 - -6. Let y = -5 - t. Put m, 5, y in increasing order.
y, m, 5
Let s be 80/(-7) - (-8)/(-14). Sort 0, 1, s in increasing order.
s, 0, 1
Let h be 6/(-9)*-3 + (-14)/4. Let w = -6 - -4. Sort -0.1, w, h.
w, h, -0.1
Let f = 15.9 + -16. Let t = -1.97 - 0.03. Suppose -2*x - 3*x = -5. Sort t, f, x in descending order.
x, f, t
Let y = 15.7 + -15. Let z = -0.83 + y. Let h = 4.87 - z. Sort 4, -1, h in decreasing order.
h, 4, -1
Suppose -u = 2*l - 19, 5*u - 103 = -0*u - 2*l. Let o be (u/14)/((-6)/16). Suppose 0 = -3*d - 3 - 12. Sort d, o, -3 in decreasing order.
-3, o, d
Let f = 0.09 - 0.04. Let t = 0.55 - f. Sort t, -3, -3/5 in descending order.
t, -3/5, -3
Let i = -2 - -1. Let r be 2*((-9)/2 + 3). Sort r, 1, i in increasing order.
r, i, 1
Let j be 2/((-108)/53) - -1. Let i = -167/270 + j. Let v = -0.4 + -0.6. Put v, i, 0 in decreasing order.
0, i, v
Let b = -11 + 6. Let w(j) = -j - 9. Let o be w(-5). Let s be o*(3 - (0 - -2)). Sort 1, b, s.
b, s, 1
Let m = -8.3 - -8. Let s(i) = -i**3 + 2*i**2 + 2*i - 2. Let q be s(-2). Suppose -5*r - 25 + q = 0. Sort -2, r, m in decreasing order.
m, -2, r
Let g be 0 - (5 - (8 + -5)). Put 27, 4, 2, g in ascending order.
g, 2, 4, 27
Let h be 1/(1/2 - 4). Put -2/5, h, 6, 3/5 in increasing order.
-2/5, h, 3/5, 6
Let v = 6 - 4. Suppose v*s - 10 = 2*j, -2*s + 4*s = -3*j. Sort j, -3, 1 in descending order.
1, j, -3
Let q = 16 - 14. Sort -0.2, 0.3, q.
-0.2, 0.3, q
Let i(w) be the third derivative of w**4/24 - 23*w**3/6 + 9*w**2. Let b be i(14). Put b, 2, 2/3 in ascending order.
b, 2/3, 2
Suppose -3*z + 2 = -4. Let m(s) = s - 8. Suppose 3*t - 5*d - 13 = 0, 3*t + 30 = 5*t + 2*d. Let b be m(t). Put -2, b, z in descending order.
b, z, -2
Suppose x - 1 = -4*p, 2*x = 4*p - 0 + 14. Let l = -2 + 4. Suppose 4*c - 2*z + 10 = l, 10 = -5*z. Sort -2, x, c in decreasing order.
x, -2, c
Let f(o) = o**2 - o + 3. Let l be f(0). Let m = l + -6. Let g = 0.7 - 0.2. Sort 2/15, m, g.
m, 2/15, g
Let d(s) = s**2 - 6*s + 4. Let j be 3/9 + 11/3. Let t be d(j). Put -2, t, -1 in ascending order.
t, -2, -1
Suppose 0 = -3*d + 3 + 6. Suppose 10*x + 3 = i + 5*x, -2*i - 3*x = -6. Let o = i - d. Sort 5, o, 4.
o, 4, 5
Suppose -3*m = -0*i - 2*i + 12, -4*m - 20 = -4*i. Sort m, -4, -1 in decreasing order.
-1, m, -4
Let p be -3*(2/(-8) + 9/12). Sort 1/3, p, -2, 1/10 in increasing order.
-2, p, 1/10, 1/3
Suppose 2*z + 2*z - 15 = i, -5*i = -5*z + 15. Sort z, -5, -2, 10 in descending order.
10, z, -2, -5
Let f(l) be the second derivative of -l**5/20 + l**4/12 - l**2/2 + l. Let c be f(2). Let u be 0/(9/6*-2). Sort c, -3, u.
c, -3, u
Let g be (0 + -2 - -1) + -4. Let k be 4 + (1 + 1)*-1. Put g, 4, k in descending order.
4, k, g
Let p be (-1)/(-1)*1 - 4. Let k be ((-8)/12)/((-2)/p). Put 5, k, 0 in descending order.
5, 0, k
Let s = -10 + 4. Let y = s + 5.92. Let q = 3.92 - y. Sort q, -0.1, 2 in descending order.
q, 2, -0.1
Let l be (-6)/5*60/(-9). Let f be (l/(-5))/(1/(-5)). Supp | {
"pile_set_name": "DM Mathematics"
} |
et f(h) = -h - 1. Let j(n) = 1. Let t(x) = -f(x) - j(x). Determine u(t(k)).
-k**2 - 9*k
Suppose 31*p = 33*p - 4. Let q(x) = -6*x**p + x**2 + 4*x**2. Let f(s) = 15*s**2. Calculate f(q(y)).
15*y**4
Suppose -5*z + 115 = -35. Let w(l) = z*l - 14*l - 18*l. Let f(v) = 6*v. Calculate f(w(q)).
-12*q
Let z(b) = 113*b. Let x(h) = -15*h - 864. Give x(z(a)).
-1695*a - 864
Let t(s) be the second derivative of 3*s**3/2 + 317*s. Let g(b) = 55*b**2. What is g(t(l))?
4455*l**2
Let w(x) = 13*x. Let b(s) = -22*s**2 - 17*s**2 - 18*s**2 + 67*s**2. Determine b(w(f)).
1690*f**2
Let c(a) be the third derivative of -a**4/24 + 140*a**2. Let p(d) = -137*d. Give c(p(o)).
137*o
Let o(f) = f - 128. Let s(v) = -7*v - 5*v + 0*v + 2*v + 9*v. Determine o(s(d)).
-d - 128
Let g(i) = -140*i. Let r(w) = -w**2 - 95. Calculate r(g(s)).
-19600*s**2 - 95
Let w(u) = 22*u. Let h(z) be the third derivative of 0*z**3 - 1/12*z**4 + 2*z**2 + 0*z + 0. What is h(w(d))?
-44*d
Let c(j) = -27*j**2. Let g(b) = -447*b - 3 + 3 + 453*b. What is c(g(n))?
-972*n**2
Let y(w) = 3102*w - 329. Let g(a) = -47*a + 5. Let v(n) = -329*g(n) - 5*y(n). Let f(z) = z**2. Calculate v(f(o)).
-47*o**2
Let f(i) = -i. Let z(a) = 4*a - a - 17*a - 76*a. Calculate f(z(y)).
90*y
Let q(t) = 20391*t. Let z(c) = -c. Determine q(z(r)).
-20391*r
Let t(s) = 6*s - 3. Let g(r) = -3*r + 2. Let z(w) = -9*g(w) - 4*t(w). Let l(n) = 3*n**2. What is l(z(h))?
27*h**2 - 108*h + 108
Let g(z) = 138*z**2. Let x(v) = 38*v - 495 + 7*v**2 + 495 - 38*v. Give g(x(y)).
6762*y**4
Let h(v) = 33*v. Let i(y) = 3*y**2 - 5*y. Let k(z) = -10*z**2 + 8*z + 9*z - z. Let c(x) = 16*i(x) + 5*k(x). What is c(h(q))?
-2178*q**2
Let y(j) = 0*j**2 + 2*j**2 + 4*j**2 + 0*j**2. Let o(t) be the first derivative of -t**4/12 + t + 1. Let c(i) be the first derivative of o(i). Determine c(y(l)).
-36*l**4
Let k(t) = 8*t. Let x(a) = 18*a**2 + 20*a + 4. Let c(m) = 5*m**2 + 6*m + 1. Let q(y) = 20*c(y) - 6*x(y). Determine k(q(n)).
-64*n**2 - 32
Let r(l) be the third derivative of -7/6*l**3 + 0*l - 1/12*l**4 + 6*l**2 + 0. Let i(b) = -b**2. Determine r(i(z)).
2*z**2 - 7
Let x(o) = o. Let m(p) = -3*p. Let w(z) = 2*m(z) + 9*x(z). Let f(i) be the third derivative of -i**5/3 + 343*i**2 - 1. Give f(w(c)).
-180*c**2
Let q(b) = -20*b**2. Let p(g) be the first derivative of 5*g**3/3 - 60. Determine q(p(r)).
-500*r**4
Let k(d) = -630*d + 23. Let t(q) = -24*q**2. What is k(t(x))?
15120*x**2 + 23
Suppose -5 - 3 = -2*z, -2*z + 24 = 4*i. Let q(g) = 13*g**2 + 22*g**2 - 4*g + i*g. Let v(r) = -2*r**2. Give q(v(a)).
140*a**4
Let o(p) = 7*p**2 + 10*p**2 - 15*p**2. Let h(b) = 2*b**2 + 2*b - 2. Let t be h(-2). Let d(i) = -4*i + t*i - i - i. Give o(d(j)).
32*j**2
Let o(h) = -2*h - 3. Let g(i) = -70*i**2. Determine o(g(p)).
140*p**2 - 3
Let g(t) = 9854*t + 4. Let m(c) = 4*c**2. Calculate m(g(s)).
388405264*s**2 + 315328*s + 64
Let o(i) = -i**2. Let j(q) = 2*q**2 - 9*q - 24. Let u(a) = 2*a**2 - 10*a - 30. Let z(s) = -5*j(s) + 4*u(s). What is o(z(w))?
-4*w**4 + 20*w**3 - 25*w**2
Let s(a) = -40*a + 115*a - 37*a - 33*a. Let q(n) be the third derivative of n**4/24 + 2*n**2. Calculate q(s(u)).
5*u
Let g(i) = 10*i**2. Let z(u) = -44*u. Let o(t) = -2737*t. Let j(w) = -6*o(w) + 374*z(w). Calculate g(j(l)).
11560*l**2
Let p(l) = -349*l**2. Let t(o) = -33*o - 1. Give t(p(q)).
11517*q**2 - 1
Let v(w) = -w**2. Let u = 25 - 22. Suppose -4*f = -u*f - 168. Let y(c) = f - 2*c**2 - 168. What is y(v(i))?
-2*i**4
Let j(z) be the second derivative of -z**4/2 - 9*z. Let s(a) = -3*a + 7. Let v(w) = -w + 3. Let b(n) = 3*s(n) - 7*v(n). Determine b(j(d)).
12*d**2
Let s(i) = -i. Let r(p) = 86425*p**2. What is s(r(n))?
-86425*n**2
Let z(w) = -47*w - 8. Let o(m) = m. Give z(o(c)).
-47*c - 8
Let i(f) = -11*f**2. Let u(w) be the second derivative of w**3/2 + 10*w. Give u(i(t)).
-33*t**2
Let f = -606 - -607. Let h(t) be the first derivative of 0*t**2 + f + 0*t + 1/3*t**3. Let q(o) = -4*o**2. Determine h(q(k)).
16*k**4
Let b(t) = -2*t**2. Let v = -36 + 38. Let c(x) = 16*x + v*x**2 - 35*x + 19*x. Give b(c(i)).
-8*i**4
Let s(m) = 0*m + 2*m + 2*m. Let v(u) = -u. Let a(x) = 3*s(x) + 10*v(x). Let q(p) = -5487 + 5487 - p. Calculate q(a(t)).
-2*t
Let m(z) = -1072*z**2 + 527*z**2 + 543*z**2. Let n(i) = -60*i**2. Determine n(m(w)).
-240*w**4
Let y(r) = r. Suppose -4*w = -5*n + 7 + 2, -4*n + 12 = -2*w. Let h(m) = 9*m - 4 + w. Let g(d) = h(d) - 4*y(d). Let p(u) = u**2. Determine g(p(z)).
5*z**2
Let s(t) = 12*t**2. Let o(x) = -4 - 685*x + 4 + 674*x. Determine o(s(q)).
-132*q**2
Let f(z) = z**2 - 43*z. Let m(s) be the third derivative of 21*s**2 + 0*s**3 + 0 - 1/60*s**5 + 0*s**4 + 0*s. Calculate m(f(l)).
-l**4 + 86*l**3 - 1849*l**2
Let x(p) = 958*p**2. Let r(k) = 3*k. What is r(x(u))?
2874*u**2
Let r(f) = 41*f**2 + 7. Let b(q) = -18*q**2 - 3. Let m(g) = -7*b(g) - 3*r(g). Let j(l) = -545*l**2. Determine j(m(y)).
-4905*y**4
Let k(j) be the third derivative of -1/12*j**4 + 0*j**3 + 0*j + 0 + j**2. Let q(g) = 194 - 194 + 6*g - 2*g. Determine k(q(a)).
-8*a
Let r(d) be the first derivative of d**3/3 + 3169. Let x(h) be the third derivative of h**4/24 + 7*h**3/6 - h**2. Calculate x(r(p)).
p**2 + 7
Let y(l) = 14*l - l**2 - 14*l. Let a(k) be the second derivative of 0 + 23/6*k**3 + 14*k + 0*k**2. Give y(a(z)).
-529*z**2
Let x(t) = 4*t. Let c(n) be the first derivative of -7*n**5/120 - 5*n**3 + 1. Let y(u) be the third derivative of c(u). Determine x(y(k)).
-28*k
Suppose -5*l + 8 = -22. Suppose -5*v + 2*i = -2*v - 14, 3*i + l = -3*v. Let h(x) = -x - v*x + x. Let a(n) = 2*n. What is h(a(d))?
-4*d
Let f(l) = 5883*l - 1. Let a(o) = 2*o**2 - 42. What is a(f(i))?
69219378*i**2 - 23532*i - 40
Let m be 14/5 - (-2)/40*4. Let q(p) = -8*p**2 + 6*p**2 + m*p**2. Let r(w) = -12*w. Determine q(r(h)).
144*h**2
Let j(x) = -x**2 - 128*x - 136*x + 264*x. Let g(o) be the first derivative of 23*o**2/2 + 1. What is g(j(m))?
-23*m**2
Let g(t) = -9*t**2. Let a(x) = 517043*x**2. Calculate a(g(q)).
41880483*q**4
Let t(n) = n. Let y(a) = 53*a - 120*a - 60*a - 88*a + 24*a. Give t(y(d)).
-191*d
Let h(r) = -r. Let i(c) be the first derivative of 196*c**3/3 + 1. What is i(h(q))?
196*q**2
Let o(k) = 3*k. Let m(y) = -16298*y. What is m(o(w))?
-48894*w
Let a(k) = 2*k. Let s be (-15)/10*40/(-3). Let o be s/(-6)*(-9)/5. Let x(u) = o*u - u - 4*u. Determine a(x(c)).
2*c
Let g be ((-12)/(-3))/(4/2). Let k(u) = 0*u**2 + u**2 + 2*u**g - 4*u**2. Let d(n) = 5*n. Let t(q) = 6*q. Let b(o) = 3*d(o) - 2*t(o). What is b(k(a))?
-3*a**2
Let x(m) = 3*m. Let k(i) = 512 + 512 - 2*i - 1024. Determine x(k(p)).
-6*p
Let k(i) = 27*i. Let r(m) = 274*m - 506*m + 246*m. Give r(k(f)).
378*f
Let b(u) = -u. Let a(z) = -25*z. Let l(y) = -3*a(y) + 105*b(y). Let m(p) be the second derivative of p**3/6 - 2*p + 38. Give m(l(d)).
-30*d
Let z(k) = -49963*k + 2. Let i(j) = -j. Calculate z(i(m)).
49963*m + 2
Let v(m) = -5 + 6 - 1 + 2*m. Let x(y) = -4*y**2 - 1. What is x(v(o))?
-16*o**2 - 1
Let w(j) = -3*j. Let b(u) be the first derivative of 0*u + 20 - 5/3*u**3 + 0*u**2. Give w(b(o)).
15*o**2
Let n(j) = -6*j. Let w(i) = -55*i + 29*i - 4 + 5 + 27*i. Calculate n(w(c)).
-6*c - 6
Let g(j) = -10*j**2. Let k(q) = -2*q - 2173. What is g(k(m))?
-40*m**2 - 86920*m - 47219290
Let z(n) = 110*n - 85*n - 28*n. Let p = 7 + -1. Let t(v) = -4*v**2 + p*v**2 + 2*v**2. Give t(z(s)).
36*s**2
Let i(u) = -344*u**2 + 1. Let f(w) = 2*w. Calculate f(i(m)).
-688*m**2 + 2
Let c(x) = x**2. Let m(h) be the third derivative of -11*h**5/2 + 194*h**2. Calculate m(c(v)).
-330*v**4
Let o(n) = n. Let j(b) = -15*b**2 + 13. Let r(v) = 2*v**2 - 1. Let u(q) = -j(q) - 6*r(q). Determine o(u(a)).
3*a**2 - 7
Let q(j) = -2*j**2 + 5915 - 5915. Let s(i) = 5*i**2. Calculate s(q(n)).
20*n**4
Let x(s) be the first derivative of 4*s**3/3 - 16. Let i(c) = -2 + c + 2. Determine x(i(h)).
4*h**2
Let m(h) = -3*h. Let d(b) = 9*b - 8*b - 4*b - 12 + 30. What is m(d(f))?
9*f - 54
Let b(u) = 25*u**2. Let l(c) = 3*c + 5. Let r(x) = -x - 1. Let y(v) = -l(v) - 5*r(v). Give b(y(i)).
100*i**2
Let r(y) be the third derivative of -51*y**4/4 - 2*y**2 + 32. Let j(w) = -w**2. Calculate j(r(l)).
-93636*l**2
Let o(m) = -15*m + 2. Let z(u) = -u + 3. Let f(t) = 6. Let l(n) = -n - 19. Let h(w) = -7*f(w) - 2*l(w). Let d(a) = 3*h(a) + 4*z(a). Calculate o(d(j)).
-30*j + 2
Let h(c) = 1330 + 1340 - | {
"pile_set_name": "DM Mathematics"
} |
5*i**2 + 12*i. Let l be k(-5). What is l rounded to the nearest one hundred?
-1400
Let x = -1.529742 + 1106378.529742. Let f = x + -1106371.73241. Let o = f + -5.27. What is o rounded to 4 dps?
-0.0024
Let j = -16 + 19. Suppose 0*k - 5*l = k + 1239995, 0 = 4*k + j*l + 4959997. What is k rounded to the nearest 100000?
-1200000
Let v = 65.9495 + -66. Let w = v - 2.9395. Let h = w - -2.99318. Round h to four dps.
0.0032
Let u(c) = -c**3 + 17*c**2 - 19*c - 16. Suppose -48 = o - 4*o. Let h be u(o). What is h rounded to the nearest ten?
-60
Let v = -366.84 + 361. Let x = v - -3.2. Let o = x + 4.6. What is o rounded to 1 dp?
2
Let n = 539.995092 + -540. Round n to 3 dps.
-0.005
Let j be 4/16 + (-10)/8. Let v be 1/((-3 - -3) + j). Let f be 1750/(-21)*(-367 - v). Round f to the nearest 1000.
31000
Suppose 11*j = 9*j - z - 11419995, -2*j - 11420015 = -3*z. What is j rounded to the nearest 1000000?
-6000000
Let c = -1 - -1.2. Let r = 7.8 + -7. Let n = r - c. What is n rounded to the nearest integer?
1
Let y(h) = 11111*h**3 - h**2 - 6*h - 12. Suppose 0 = -5*r - 8*r - 39. Let l be y(r). What is l rounded to the nearest 1000000?
0
Let g = -13.77 - 22.93. What is g rounded to the nearest ten?
-40
Let j = 65 + -65.00095. Round j to four dps.
-0.001
Let m be (4/10)/(14/(-1190)). Let k = -47 - m. Round k to the nearest 10.
-10
Let k = -990.000003772 + 990. Round k to 7 dps.
-0.0000038
Let k(x) = 2629*x + 8. Let g(p) = p - 4. Let c be g(0). Let n(z) = -2628*z - 8. Let i(u) = c*k(u) - 5*n(u). Let q be i(8). Round q to the nearest ten thousand.
20000
Let w(p) be the third derivative of -p**6/20 + 7*p**5/60 + p**4/3 - 2*p**3/3 + 6*p**2. Let r = 15 + -9. Let m be w(r). What is m rounded to the nearest 100?
-1000
Let q = -0.03662651 + -3.66335629. Let i = q - -3.7. Round i to 6 dps.
0.000017
Let d(f) = f**2 - 24*f + 26. Let v be d(23). Suppose 4*t = v*t + 2, 5*m + 4*t = 220008. Round m to the nearest ten thousand.
40000
Let h be 576004/5 - (105/(-25) - -4). Let d be h/3 + -1*2/6. Round d to the nearest 1000.
38000
Let j = -78.5221 + 0.1721. What is j rounded to 0 dps?
-78
Let t(d) = -d**3 + 25*d**2 - 70*d + 69. Let m be t(21). What is m rounded to the nearest 100?
400
Let c = -19 - -20.28. Let x = c + -1.27662. Round x to four decimal places.
0.0034
Let n(a) = 3*a**2 + 3*a + 4. Let u be n(-1). Let t be 3/(-6) + 227*(-74)/u. What is t rounded to the nearest 1000?
-4000
Let h = 1 + 4. Suppose -2*k + 0*k = -5*q + 114, -h*k = 10. Suppose -q = -3*s + 65. Round s to the nearest ten.
30
Let s = 27.19 - -1.21. Let z = s + -28.3999662. What is z rounded to 6 decimal places?
0.000034
Let m = 1.13 + -1.191. Let t = m + 0.0609946. Round t to six decimal places.
-0.000005
Let m = -81932812.999953 + 81932854. Let s = m + -41. What is s rounded to 5 decimal places?
0.00005
Let j = -0.24 + 0.239712. What is j rounded to five dps?
-0.00029
Let k = 300 - 303.46. Let g = -0.6 - -0.94. Let d = k - g. What is d rounded to 0 dps?
-4
Let n = 82 + -81.34. Let b = 0.24 + n. What is b rounded to the nearest integer?
1
Let z(b) = -16*b + 58461. Let s(q) = -3*q + 11692. Let w(p) = -11*s(p) + 2*z(p). Let h be w(0). Let j = -6290 - h. Round j to the nearest 1000.
5000
Suppose 4*o + 234996 = n, 2*n = -0*o + o + 469999. Round n to the nearest one hundred thousand.
200000
Let b be (2/6)/((-2)/(-48)). Suppose -10662 = 5*j - b*j. Suppose -2*l - j = 7046. What is l rounded to the nearest 1000?
-5000
Let y = -339.4 + 294. Round y to the nearest ten.
-50
Let v = -22.4 + 14.84. Let l = 14 - 21. Let g = v - l. Round g to 1 decimal place.
-0.6
Let l = 697.52597 + -643.525967. Let f = l - 54. What is f rounded to six dps?
0.000003
Let u = -4.20091 + -70.79869. Let p = 75 + u. What is p rounded to two decimal places?
0
Let o = 528 + -528.0000131. What is o rounded to six dps?
-0.000013
Let a = 127.02 + -126. Let m = a - 65.02. Let n = 63.99938 + m. Round n to 4 decimal places.
-0.0006
Let i = -7 - 1. Let n(u) = -u**2 - 10*u - 9. Let k be n(i). Let r(t) = -t**2 + 3*t + 2. Let a be r(k). What is a rounded to the nearest 10?
-30
Let i(s) = 2450001*s**2 - 8*s + 7. Let r be i(1). What is r rounded to the nearest 100000?
2500000
Let w(f) = -5532*f**3 + f**2 - f - 12. Let y be w(5). Let a = y - -431492. What is a rounded to the nearest one hundred thousand?
-300000
Let o = -16.49 + 0.49. Let s = 197865.2 - 197849.19961. Let t = o + s. Round t to four decimal places.
0.0004
Let v = 18058.88 + -2063060.88. Let y = -2044941.00058 - v. Let k = -61 + y. What is k rounded to four decimal places?
-0.0006
Let o = -12 + 12. Suppose 3*q + 8500012 = c, o = c + 3*c + 4*q - 33999984. Round c to the nearest 1000000.
9000000
Let i = -226 + 225.999558. Round i to five decimal places.
-0.00044
Suppose -4*q + 3 - 19 = 0. Let v be -2*940/(-5 - q). What is v rounded to the nearest 1000?
2000
Let p = 0.7 + -1.8. Let a = -7147.3 - -7148.39998. Let q = p + a. Round q to five decimal places.
-0.00002
Let j = -263.83 - -281. Round j to 0 decimal places.
17
Suppose 0 = -4*v + 339947 + 55980053. Round v to the nearest one million.
14000000
Let l = 1.560359 + -1.56. Round l to three dps.
0
Let k = 0.14 + 1.16. Let a = k + -2.13. Round a to 1 dp.
-0.8
Suppose 3*y + 1921405 = -h, 3*y - 5*y = 2*h + 1280930. Let p = y - -2095398. Suppose -3*c + 705072 = -p. Round c to the nearest one hundred thousand.
700000
Suppose -6*x + 82234 = l, 2*l - 23329 = x + 141152. Round l to the nearest 10000.
80000
Let w = 12 + 5. Let b = -4955.088 + 4938. Let d = w + b. What is d rounded to two dps?
-0.09
Let x = -3.89 - 0.11. Let i = -0.00349 - 3.99649. Let c = i - x. What is c rounded to five decimal places?
0.00002
Suppose 44*b + 16 = 48*b. Suppose b*m + 29246 + 4754 = 0. What is m rounded to the nearest 1000?
-9000
Let t(y) = -y**2 + 7*y - 5. Let c be t(4). Suppose 6*r + 23660000 = -c*r. Round r to the nearest 1000000.
-2000000
Let n = -56 - -176. Let x be n*(299518/6 - 3). What is x rounded to the nearest 1000000?
6000000
Let j = 40 - 24. Let r = j + -15.9999973. What is r rounded to six dps?
0.000003
Let k = -494.1405 + 494. What is k rounded to two decimal places?
-0.14
Let m = 1167309203.9999961 - 1167309154. Let z = m - 50. What is z rounded to 6 decimal places?
-0.000004
Let d = -0.298 + 0.378. What is d rounded to 1 dp?
0.1
Let c(u) = -2*u - 39. Let z be c(-20). Let w be -3 - -5 - (z - -39). Round w to the nearest ten.
-40
Let m = -1176.34151088 - -1160.34151. Let b = -16 - m. Round b to seven dps.
0.0000009
Let f = -107 - -48. Let d = 58.97 + f. What is d rounded to 1 decimal place?
0
Let b = -10600.9934 - -10600. Let y = b - -1. What is y rounded to three decimal places?
0.007
Suppose -32*o - 654460000 = -75*o. Round o to the nearest one hundred thousand.
15200000
Let d(n) = 75601*n**2 - 5*n. Let t be d(5). Suppose -24*s = -25*s - t. What is s rounded to the nearest 100000?
-1900000
Suppose f - 3*f + 73 = 5*j, 3*f + 33 = 2*j. Suppose 20*r - j*r = -6650. Round r to the nearest 100.
-1300
Suppose -5*v + 5*t - 25 = 0, -4*v + 14 = 2*t + 4. Let r be v*(-5)/15 + -56000. What is r rounded to the nearest ten thousand?
-60000
Let b = -908 - -907.313. Let i = b + 0.027. Let x = i + 0.66000113. Round x to seven dps.
0.0000011
Suppose 5*w - 12 = 28. Suppose 0 = w*o - 6*o - 4620000. Round o to the nearest 1000000.
2000000
Let d = 11.20004 + -11.2. What is d rounded to 5 decimal places?
0.00004
Let j = -732898.47264 - -742142.4. Let s = j - 9182.9273571. Let x = -61 + s. Round x to six dps.
0.000003
Let r = 27.53871 - 27.52. Round r to 3 dps.
0.019
Let g = 1337 - 1336.99237. Round g to 3 dps.
0.008
Let a = -1.53 + 1.5300138. What is a rounded to five dps?
0.00001
Let i = -833.9 + 1620.5. Let o = i + -874. Round o to the nearest 10.
-90
Let h = -3807 - -3762.14. What is h rounded to the nearest integer?
-45
Let a = -335 + 333. Round a to the nearest one hundred.
0
Let y(p) = p**3 - 16*p**2 + 15*p - 1. Let a be y(15). Let r be 1 + -56002 - a*3/3. Round r to the nearest 10000.
-60000
Let s = 0.0573 + 369.9427. Let k = -605 + s. Let v = -234.99817 - k. What is v rounded to four dps?
0.0018
Let b be 6/2*(-10)/(-15). Suppose 4*j + 12 = -b*m + 42, -5*m - 2*j = -35. What is m rounded to the nearest 10?
10
Suppose 15*r + 39 = 18*r. Let s(l) = -163*l + 19. Let v be s(r). | {
"pile_set_name": "DM Mathematics"
} |
llect the terms in k**2 + 2*k - 8*k - 3*k**2.
-2*k**2 - 6*k
Collect the terms in -4*i + 6*i + 6*i.
8*i
Collect the terms in -2911*l - 2907*l + 5819*l.
l
Collect the terms in 16*b + 3 - 13*b**2 - 16*b + 2*b**2.
-11*b**2 + 3
Collect the terms in -5*f + 13*f + 5*f.
13*f
Collect the terms in b - b + 0*b + 3*b**2.
3*b**2
Collect the terms in -357 - 351 + 708 + 17*a.
17*a
Collect the terms in i**2 + 21*i**2 - 4*i**2 + 1.
18*i**2 + 1
Collect the terms in 2*c - c + 9*c**2 - c.
9*c**2
Collect the terms in 2*j**3 - 34*j**3 - 3*j**3 + 15*j**3.
-20*j**3
Collect the terms in -6*j - 1 + 2*j - j - 5*j.
-10*j - 1
Collect the terms in 18 - 12 - 11*u**3 - 6.
-11*u**3
Collect the terms in 38*o + 17*o + 13*o.
68*o
Collect the terms in 50902*d + 3 - 50901*d + 0 - 3.
d
Collect the terms in 4*t - 5 - 9 - 3.
4*t - 17
Collect the terms in -92*o + 6*o - 36*o - 49*o.
-171*o
Collect the terms in 69*j + 24*j - 45 + 45.
93*j
Collect the terms in 14050*q + 4*q**2 - 14050*q.
4*q**2
Collect the terms in -3548*f - 4*f**2 + 3548*f + f**2.
-3*f**2
Collect the terms in -3 - 8*m + 3 + 10*m + 0.
2*m
Collect the terms in 68 - 68 - 90*b**2.
-90*b**2
Collect the terms in 8*s + 4*s + 0*s - 10*s.
2*s
Collect the terms in -1186*a**2 - 724*a**2 + 703*a**2.
-1207*a**2
Collect the terms in 87*v**2 - 30*v**2 - 30*v**2 - 29*v**2.
-2*v**2
Collect the terms in 422*l**3 - 140*l**3 - 146*l**3 - 139*l**3.
-3*l**3
Collect the terms in 100 - 49 - 51 - 24*z.
-24*z
Collect the terms in -2 - 11 - 8*p**2 + 13.
-8*p**2
Collect the terms in -5*y**2 + 2*y**2 - 2*y**2 + 2*y**2.
-3*y**2
Collect the terms in 224*p + 6 + 5*p**3 - 224*p - 6.
5*p**3
Collect the terms in -12*p**3 + 312*p**2 - 312*p**2.
-12*p**3
Collect the terms in -78*t**3 + 120*t**3 - 45*t**3.
-3*t**3
Collect the terms in 8*y - 16*y - 7*y.
-15*y
Collect the terms in 18 + 3*q + 2*q - 7 - 11.
5*q
Collect the terms in -27*m**2 - 24*m**2 + 56*m**2.
5*m**2
Collect the terms in 52*n**3 - 14*n**3 + 9*n**3.
47*n**3
Collect the terms in -u**2 - 17*u + 17*u.
-u**2
Collect the terms in -3*l - l + 0*l + 5*l.
l
Collect the terms in -3*p + 2*p + 3*p - p - 2*p.
-p
Collect the terms in -456 - 5*f + 1207 + f - 751.
-4*f
Collect the terms in 4809*g + 2 - 4811*g + 0 - 2.
-2*g
Collect the terms in 112*z**3 - 50*z**3 - 59*z**3.
3*z**3
Collect the terms in -1 - 3 + 18*y**3 + 4 - 20*y**3.
-2*y**3
Collect the terms in 2*a + 5*a + 5*a + 2*a.
14*a
Collect the terms in -37*l**3 + 82*l**3 - 42*l**3.
3*l**3
Collect the terms in -17 - 1 + 2*d**2 + 5.
2*d**2 - 13
Collect the terms in -6*p + 15*p + 13*p.
22*p
Collect the terms in 50*o - 50*o - 12*o**3.
-12*o**3
Collect the terms in 5*d**3 - 8*d**3 - d**3 - 12*d**3.
-16*d**3
Collect the terms in 13 - 27 + 2*o + 14.
2*o
Collect the terms in -1788*v**2 + 1788*v**2 - 2*v**3.
-2*v**3
Collect the terms in -80*n**2 + 37*n**2 + 32*n**2.
-11*n**2
Collect the terms in -5*h - 166*h**3 + 5*h + 169*h**3.
3*h**3
Collect the terms in -73*x**3 + 41*x**3 + 54*x**3.
22*x**3
Collect the terms in t**2 - 42517 + 42517.
t**2
Collect the terms in -3*t - 736*t**3 - 736*t**3 - 3*t + 1476*t**3.
4*t**3 - 6*t
Collect the terms in -14*j - 2*j + 4*j.
-12*j
Collect the terms in z + z - 2*z + 5*z**3.
5*z**3
Collect the terms in 53*f**3 - 8629 + 8629.
53*f**3
Collect the terms in 13*a - 7*a + 14*a.
20*a
Collect the terms in -19*a**2 - 45*a**2 - 31*a**2.
-95*a**2
Collect the terms in -y + 46*y**2 + 5*y - 3*y.
46*y**2 + y
Collect the terms in -92 - 2*a**3 + 92.
-2*a**3
Collect the terms in -88*u + 21*u**3 + 172*u - 84*u.
21*u**3
Collect the terms in 687*j + 603*j + 235*j - 121*j.
1404*j
Collect the terms in -y**2 + 3*y**2 - 8*y - 4*y.
2*y**2 - 12*y
Collect the terms in -10*b - b**2 + 8*b + 2*b.
-b**2
Collect the terms in v**3 + 329*v**2 + v**3 - 329*v**2.
2*v**3
Collect the terms in q**3 - 681*q + 681*q.
q**3
Collect the terms in -16*u**3 - 35*u**3 + 54*u**3.
3*u**3
Collect the terms in 10*a**3 + 2*a**3 - 13*a**3.
-a**3
Collect the terms in -4198*o + 8402*o - 4202*o.
2*o
Collect the terms in 24*u**2 + 0 + 12 - 10.
24*u**2 + 2
Collect the terms in 3*a - a - a - 2*a**3 - 42*a**3.
-44*a**3 + a
Collect the terms in 5*p**2 - 4*p**3 + 2*p**2 + 0*p**2 + 3*p**3.
-p**3 + 7*p**2
Collect the terms in 5*f**2 + 28 - 5 - 23.
5*f**2
Collect the terms in -6*r**3 + 16*r**3 - 17*r**3.
-7*r**3
Collect the terms in 3*c + 4*c - 2*c - c.
4*c
Collect the terms in 6*i + i - 5*i**2 - 8*i - 127*i**2.
-132*i**2 - i
Collect the terms in 13*n - 36*n + 9*n + 15*n.
n
Collect the terms in -1 + 159*f**2 - 139*f**2 + 1.
20*f**2
Collect the terms in 2*v**3 - 11074*v + 11074*v.
2*v**3
Collect the terms in -112*m**3 + m**2 - m**2.
-112*m**3
Collect the terms in -14 - 2*s**3 + 14 - 2*s.
-2*s**3 - 2*s
Collect the terms in -270*m + 2 - 262*m + 529*m.
-3*m + 2
Collect the terms in -6*l + 6*l - 40*l**3 - 47*l**3 + 83*l**3.
-4*l**3
Collect the terms in -3*g**3 + 0*g**2 - 16*g**2 + 16*g**2.
-3*g**3
Collect the terms in 4677*i - 4677*i - 2*i**3.
-2*i**3
Collect the terms in 0*f**2 + 2*f**2 + 0*f**2.
2*f**2
Collect the terms in -3*f - 9*f + 10*f + 0*f.
-2*f
Collect the terms in -91*j**3 - 106*j**3 + 276*j**3 - 81*j**3.
-2*j**3
Collect the terms in -2*s**3 + 498*s - 168*s - 163*s - 167*s.
-2*s**3
Collect the terms in 15*q + 14*q - 46*q + 15*q.
-2*q
Collect the terms in -6*x + 30*x**2 + 26*x - 20*x.
30*x**2
Collect the terms in p - 49 + 25 + 36.
p + 12
Collect the terms in 30*t + 2*t**3 - 7*t - 13*t - 10*t.
2*t**3
Collect the terms in 1 + m**3 - 3 + 17*m**3 + 0*m**3.
18*m**3 - 2
Collect the terms in -22*x**3 + 4*x**3 + 7*x**3 - 27*x**3.
-38*x**3
Collect the terms in -19 - 330*o + 19.
-330*o
Collect the terms in 10*y**2 - 6*y**2 - 14*y**2.
-10*y**2
Collect the terms in f**2 - 21*f**2 - 2*f**2 - 15*f**2.
-37*f**2
Collect the terms in 19646 - 19646 + 40*u.
40*u
Collect the terms in -2*h**2 + 376*h**3 - 195*h**3 + 2*h**2 - 180*h**3 + 0*h**2.
h**3
Collect the terms in 7928 + i**2 - 7928.
i**2
Collect the terms in 5*m**2 + 2*m**2 - 3*m**3 - 7*m**2.
-3*m**3
Collect the terms in 265*m**2 + 219*m**2 + 81*m**2.
565*m**2
Collect the terms in 4*p + 475*p**2 - 3*p - 477*p**2 - p.
-2*p**2
Collect the terms in -k**2 - 3*k**2 + 6*k**2 - 4*k**2.
-2*k**2
Collect the terms in k**3 + 2*k**3 + 7*k**3 + 4*k**2 - k**3.
9*k**3 + 4*k**2
Collect the terms in -26*o - 1 + 3 - 2.
-26*o
Collect the terms in 1747*p**3 - 879*p**3 - 871*p**3.
-3*p**3
Collect the terms in 4 - 13 + 15*s - 5*s + 11.
10*s + 2
Collect the terms in -8*d**2 + 3*d**2 + 2*d**2 + 5*d**2.
2*d**2
Collect the terms in -93*w + 196*w - 100*w.
3*w
Collect the terms in 175309*b**2 + 175306*b**2 + 175307*b**2 - 525924*b**2.
-2*b**2
Collect the terms in -388 - 2*j + 777 - 389.
-2*j
Collect the terms in 13689*h - 6845*h - 6842*h.
2*h
Collect the terms in -156*r**3 + 2 - 161*r**3 - 2.
-317*r**3
Collect the terms in -28*t - 5*t + 11*t.
-22*t
Collect the terms in 105 + 107 - 212 + 18*p**2.
18*p**2
Collect the terms in -i**2 - 5*i**2 + i**2 + 2*i**2.
-3*i**2
Collect the terms in 39*k - 113*k - 131*k.
-205*k
Collect the terms in 8*i**3 + 22*i**3 - 7*i**3.
23*i**3
Collect the terms in -b**2 - 25*b**2 + 21*b**2.
-5*b**2
Collect the terms in -2732*u**2 + 22*u**3 + 14*u**3 - 41*u**3 + 2732*u**2.
-5*u**3
Collect the terms in -3 + 20*q + 2 - 24*q - 17*q.
-21*q - 1
Collect the terms in -2*b**2 - 5*b + 14*b**2 + 5*b.
12*b**2
Collect the terms in -650 + 650 + i.
i
Collect the terms in -16*s + 13*s + 0 + 0.
-3*s
Collect the terms in -53*p**3 - 93*p**3 + 23*p**3.
-123*p**3
Collect the terms in -929 + 929 - 12*c**2.
-12*c**2
Collect the terms in -41*i**3 + 13*i**3 - 27 + 27.
-28*i**3
Collect the terms in -57441 - 15*j**2 + 57441.
-15*j**2
Collect the terms in -3*m**2 - 5*m**3 + 3*m**2 - 12*m**3.
-17*m**3
Collect the terms in -224*o + 441*o + 11*o**3 - 217*o.
11*o**3
Collect the terms in 3 + 4*z**2 - 7 + 4.
4*z**2
Collect the terms in -17*t**2 + 5*t**2 - 9*t**2 + t**2.
-20*t**2
Collect the terms in -18 + 18 - 19*t**3.
-19*t**3
Collect the terms in 2*p**2 - 2466 + 2466.
2*p**2
Collect the terms in 305*q**3 - 284*q**3 + 715*q**3.
736*q**3
Collect the terms in 0*r**2 - 26*r**2 - 13*r**2.
-39*r**2
Collect the terms in -9595 + 9595 + b.
b
Collect the terms in r**2 - 5*r**2 - 5*r**2.
-9*r**2
Collect the terms in 547*l - 547*l - 2*l**2.
-2*l**2
Collect the terms in 2*o**3 + 1916*o**2 - 1916*o**2 | {
"pile_set_name": "DM Mathematics"
} |
g - c + 160635*g wrt c.
54794*g - 1
What is the first derivative of -2026*n**4 + 2*n**2 + n + 861639 wrt n?
-8104*n**3 + 4*n + 1
Find the third derivative of -3*h*l**4 - 50*h*l + 20957*l**4 + l**3 + 16*l**2 - 143*l wrt l.
-72*h*l + 502968*l + 6
What is the second derivative of 322*l**3*n**2 + 18308*l**3*n - l**2*n**2 - 194*l*n**2 + 5*n**2 - 14*n wrt n?
644*l**3 - 2*l**2 - 388*l + 10
Find the second derivative of 2676*j**5 - 2*j**4 - 15*j**2 - 39675*j.
53520*j**3 - 24*j**2 - 30
What is the third derivative of 2*n**5 - 2605*n**4 - 146156*n**2 + 3*n wrt n?
120*n**2 - 62520*n
What is the second derivative of -12919*i**2*q**2 - 2*i**2*q - 22*i**2 + 53*i + 8010*q**2 wrt i?
-25838*q**2 - 4*q - 44
Find the second derivative of 32*a**3*f - 19*a**3 - 13*a**2*f + a*f - 14*a - 4*f + 2 wrt a.
192*a*f - 114*a - 26*f
Find the second derivative of 41*c*l**2*m**3 - 467*c*l**2*m + 20*c*l*m**2 - 16*c*m**3 - 2*c wrt l.
82*c*m**3 - 934*c*m
Differentiate -35675*k**2 + 3*k - 258336.
-71350*k + 3
Differentiate -93*g**2*o**2 - 173*g**2 + 5*g + 116*o**4 with respect to o.
-186*g**2*o + 464*o**3
What is the second derivative of 28*g**5 - 1566*g**4 - 2*g**2*n - 2*g*n + 361*g + n - 1 wrt g?
560*g**3 - 18792*g**2 - 4*n
What is the third derivative of -7*n*q**4 + 5*n*q**3 - 2*n*q**2 + n*q + 11*n - q**4 + 5*q**3 - 66 wrt q?
-168*n*q + 30*n - 24*q + 30
What is the second derivative of 61*z**3 + 2446*z**2 - 10*z - 21162 wrt z?
366*z + 4892
Find the third derivative of -s**5 - 39988*s**3 - 416*s**2 - 34*s wrt s.
-60*s**2 - 239928
Find the second derivative of 547*w**5 - 2*w + 2242.
10940*w**3
What is the first derivative of 572*f*h*j + 22*f*h*q**3 - f*j - 355*j*q**3 - j + 7 wrt h?
572*f*j + 22*f*q**3
What is the second derivative of -1495*n**3 + 3*n**2 + 2*n - 1503 wrt n?
-8970*n + 6
What is the second derivative of -r*y**2 - 196968*r*y - 158114*y**2 + y wrt y?
-2*r - 316228
Differentiate -62*y**3 + 2*y**2 + 3*y - 28583.
-186*y**2 + 4*y + 3
What is the third derivative of 2*n**3*r**5 - 1934*n**3*r**3 + 111*n**3*r**2 + 127*n*r**2 wrt r?
120*n**3*r**2 - 11604*n**3
What is the first derivative of -35031*p**2 - 42220 wrt p?
-70062*p
What is the first derivative of 2*i**3 + 4*i**2 + 5062*i + 5409 wrt i?
6*i**2 + 8*i + 5062
Find the second derivative of 451418*x**3 + 323814*x - 2 wrt x.
2708508*x
What is the derivative of -4*s**4 + 23136*s + 928675?
-16*s**3 + 23136
Find the second derivative of -d**3*j**3 - 23*d**3*j*t**3 + 59*d**3*j*t - 2*d**3*t + d*j**2*t**3 + d*j*t**2 - 5033*j**3 wrt j.
-6*d**3*j + 2*d*t**3 - 30198*j
Find the third derivative of -63467*t**3 - 26*t**2 - 394*t wrt t.
-380802
Find the third derivative of 18*j**6 + 11093*j**4 - 13*j**2 + 13598*j.
2160*j**3 + 266232*j
What is the second derivative of 21*m*x**2 - 6787*m*x - 3*m + 65*x**4 - x**3 + x wrt x?
42*m + 780*x**2 - 6*x
Differentiate 23*v**3 - 77*v**2 - 40*v - 706699.
69*v**2 - 154*v - 40
What is the third derivative of -238650*b**3*c**4*r - 122*b**3 - 3*b**2*c**2*r - 3*c**4*r - 343*c**2*r wrt c?
-5727600*b**3*c*r - 72*c*r
Find the first derivative of -2*i**3 + 263593*i - 1441826 wrt i.
-6*i**2 + 263593
What is the derivative of -500690*b - 2528603 wrt b?
-500690
Find the third derivative of -315703*h*l**3 - 8*h*l**2 - 21446*h*l wrt l.
-1894218*h
What is the derivative of 803456*v*z + 13*v + 13101 wrt z?
803456*v
What is the second derivative of 242330*y**2 - 487677*y wrt y?
484660
What is the derivative of -2609*k*p**3*r**3 - 4*k*r**3 - p**3*r + 2*p*r + 3671*r**3 + r**2 wrt k?
-2609*p**3*r**3 - 4*r**3
Find the second derivative of 779644*k**3 + 1419783*k wrt k.
4677864*k
Find the third derivative of 6703017*p**4 + 582*p**2 - 728.
160872408*p
Find the second derivative of -394*c**2*l**3*n**2 - 59*c**2*l*n**2 + 40*c**2*l + 6*c*l**3*n + 25*l**3*n wrt n.
-788*c**2*l**3 - 118*c**2*l
What is the first derivative of -415274*f**4 + 299988?
-1661096*f**3
Find the second derivative of -j**3 + 316676*j**2 + 103*j - 180.
-6*j + 633352
Find the second derivative of -p**4 + 83785*p**2 + 515047*p.
-12*p**2 + 167570
Differentiate 494976*z + 593170.
494976
What is the third derivative of -b**2*j**4 + 3*b**2*j**3 + b**2*j**2 - 15845*b*j**2 + 2969*j**4 - j wrt j?
-24*b**2*j + 18*b**2 + 71256*j
Differentiate -9*s*w + 2936*s + 156*w**3 + 39*w + 72 wrt w.
-9*s + 468*w**2 + 39
Differentiate 2578911*h**3 + 4271968 wrt h.
7736733*h**2
Differentiate -487*m**4 - 17*m**2 + 29368 wrt m.
-1948*m**3 - 34*m
What is the derivative of 1582*r*w**4 - 304*r*w + r + 116957 wrt w?
6328*r*w**3 - 304*r
Find the third derivative of -753747*f**3 + 11*f**2 - 4*f + 1898.
-4522482
Find the third derivative of -86585*s**3 + 54066*s**2 wrt s.
-519510
Differentiate -75484*d*k**3 + 55*k**3 + 38*k**2 + 7 wrt d.
-75484*k**3
What is the first derivative of 3*m**3*o - 1591*m**2*o - 5*m*o - 2*m - 170*o + 712 wrt m?
9*m**2*o - 3182*m*o - 5*o - 2
What is the second derivative of -31*f**4 - f**3*m - 188*f**2*m + 27*f + 638*m wrt f?
-372*f**2 - 6*f*m - 376*m
Find the second derivative of 13099*b**2*f*r + 3*b**2*f - 68*b*r + 34*f*r + 14*f wrt b.
26198*f*r + 6*f
Find the second derivative of 173563*d**2*m**2 - 14*d*m**2 + 12*d*m - d + 2*m wrt d.
347126*m**2
Differentiate 774*b*p*v**2 - 2*b*v**2 - 39*b + 2*p*v**2 - 2*p*v + 1540*v**2 - 8 with respect to b.
774*p*v**2 - 2*v**2 - 39
Find the second derivative of 167*v**4 + 2*v**3 - 165*v**2 + 2*v + 9876 wrt v.
2004*v**2 + 12*v - 330
What is the first derivative of 48693*c**3*f**2 + 28*c**3 - 2*c**2 - c*f**3 - 178*c wrt f?
97386*c**3*f - 3*c*f**2
Find the third derivative of 14*q**2*t**4 - 82*q**2*t + 12*q**2 - 19*q*t**2 - 4*q*t + 3*t**4 + 1657*t**3 - 2 wrt t.
336*q**2*t + 72*t + 9942
Find the second derivative of -60384*w**2 - 38671*w.
-120768
What is the third derivative of 25358*r**2*w**3 - 7*r**2 + 9*r*w**3 - 15044*w**2 wrt w?
152148*r**2 + 54*r
Find the third derivative of 940719*x**3 - 2960*x**2 - 83 wrt x.
5644314
What is the second derivative of -22410*g**2 - 207*g - 69?
-44820
What is the second derivative of 20712*k**4 - 45481*k?
248544*k**2
Find the first derivative of -k**4 + 109*k**3 + 5*k**2 + 43563.
-4*k**3 + 327*k**2 + 10*k
What is the second derivative of -3*j**2*u**2 + j**2*u - 13881*j**2 - 2*j*u + 3949*j - u**2 wrt j?
-6*u**2 + 2*u - 27762
What is the third derivative of b**4*d**3 + 26377*b**4*d - b**2*d**2 - 593*d**3 wrt b?
24*b*d**3 + 633048*b*d
What is the second derivative of -8863*t**2*x - t**2 - 10*t*x - 501*t + 3*x wrt t?
-17726*x - 2
Find the third derivative of 122*g**3*l - 4*g**3*t**3 + 5*g**3*t*v + 8*g**2*t - 11*g*l*t - g*t**3*v - l*t + 6*v wrt g.
732*l - 24*t**3 + 30*t*v
Find the second derivative of 2*a**2*q**2 + 49*a**2*q - 957*a**2 - 3*a*q**2 + 93*a*q + 15*q**2 + 2*q wrt a.
4*q**2 + 98*q - 1914
What is the third derivative of 102483*h**3*m**2*n**3 + 13*h**3*m*n + 2*h**2*m**3 - 32979*h*m*n**2 + m**3*n**3 wrt n?
614898*h**3*m**2 + 6*m**3
Differentiate 368483*o**3 - 883496.
1105449*o**2
What is the second derivative of 2*c**4*s - 225906*c**2*s**3 - 4*c**2 - 33*c*s**3 + 10*c*s**2 + 235*c*s + 3*s**3 wrt c?
24*c**2*s - 451812*s**3 - 8
Differentiate -5*a*b**2*r + 4*a*b**2 - 361*a*b*r - 60*b**2*r - 20*b**2 + 2*b*r + 28*b with respect to a.
-5*b**2*r + 4*b**2 - 361*b*r
What is the derivative of 2*g*j**2 - 80725*g*u**3 + 9*j**2*u**3 - 269*j*u**2 - 96 wrt g?
2*j**2 - 80725*u**3
Find the third derivative of -11242*b**3*x - 52*b**3 + b**2*x + 3180477*x wrt b.
-67452*x - 312
Find the second derivative of -2604*i**2*s**2*u**2 - 2*i**2*s**2*u + i**2*s*u - i**2*u - 2*i*s**2*u**2 + 2825*i*s*u wrt u.
-5208*i**2*s**2 - 4*i*s**2
Differentiate 15*r*s*t*u - 483*r*s*u - 3*r*s - 62*r*t*u - 4*r*t - 2*r*u + 4*t - u with respect to s.
15*r*t*u - 483*r*u - 3*r
What is the second derivative of 8*j**2*p**4 - 530*j**2*p**2 - 144671*j**2*p wrt p?
96*j**2*p**2 - 1060*j**2
Find the second derivative of 46514*j**3 - 16432*j - 4.
279084*j
Differentiate 1282683*v**3 - 1052315 with respect to v.
3848049*v**2
What is the first derivative of 25651*f**2 - 1200 wrt f?
51302*f
Find the second derivative of -7*d*k**3*s - 3*d*k**2 - 2*d*k*s + 528*d*k - 8*d*s - 12776*k**2*s + 2*k*s - 2*k wrt k.
-42*d*k*s - 6*d - 25552*s
What is the third derivative of 2*v**4 + 3925*v**3 + 6*v**2 - 8*v + 58?
48*v + 23550
Find the second derivative of | {
"pile_set_name": "DM Mathematics"
} |
culate the highest common factor of 780 and 1638.
78
Calculate the greatest common divisor of 144 and 1984.
16
Calculate the highest common divisor of 11 and 473.
11
What is the highest common divisor of 342 and 874?
38
Calculate the greatest common divisor of 252 and 322.
14
Calculate the highest common factor of 2235 and 596.
149
Calculate the highest common factor of 9 and 24777.
9
What is the greatest common divisor of 140 and 175?
35
Calculate the highest common factor of 12 and 14124.
12
What is the highest common divisor of 13 and 1534?
13
What is the greatest common factor of 28 and 518?
14
What is the greatest common factor of 262 and 7729?
131
What is the highest common factor of 3982 and 22?
22
Calculate the highest common factor of 54 and 729.
27
What is the highest common divisor of 22 and 1045?
11
What is the greatest common divisor of 1554 and 19758?
222
Calculate the highest common factor of 117 and 1209.
39
What is the highest common factor of 17 and 68?
17
Calculate the greatest common factor of 272 and 2278.
34
Calculate the greatest common divisor of 152 and 893.
19
Calculate the highest common factor of 371 and 53.
53
What is the highest common factor of 48 and 3888?
48
Calculate the highest common divisor of 2 and 131.
1
What is the greatest common divisor of 3 and 201?
3
Calculate the greatest common divisor of 1044 and 12.
12
Calculate the greatest common factor of 300 and 12.
12
What is the greatest common divisor of 208 and 117?
13
Calculate the greatest common factor of 176 and 88.
88
Calculate the greatest common factor of 2674 and 14.
14
Calculate the greatest common divisor of 376 and 235.
47
What is the highest common divisor of 31 and 217?
31
Calculate the greatest common divisor of 462 and 132.
66
Calculate the greatest common factor of 1888 and 1298.
118
Calculate the highest common divisor of 250 and 170.
10
What is the highest common divisor of 42 and 1?
1
Calculate the greatest common factor of 2842 and 116.
58
Calculate the highest common factor of 26 and 48.
2
Calculate the highest common divisor of 4136 and 88.
88
Calculate the greatest common factor of 20944 and 408.
136
What is the greatest common divisor of 210 and 168?
42
What is the greatest common divisor of 42 and 1204?
14
What is the greatest common divisor of 522 and 638?
58
Calculate the highest common divisor of 120 and 1680.
120
What is the highest common factor of 2895 and 15?
15
What is the highest common divisor of 9 and 114?
3
What is the highest common divisor of 600 and 48?
24
Calculate the greatest common factor of 15609 and 516.
129
What is the highest common factor of 6 and 202?
2
Calculate the highest common factor of 39 and 624.
39
What is the highest common divisor of 90 and 840?
30
Calculate the greatest common divisor of 80 and 1560.
40
Calculate the highest common factor of 119 and 85.
17
Calculate the highest common divisor of 21 and 70.
7
Calculate the highest common factor of 391 and 69.
23
Calculate the highest common factor of 248 and 5549.
31
What is the greatest common divisor of 22 and 22?
22
Calculate the greatest common divisor of 216 and 270.
54
What is the greatest common divisor of 112 and 3787?
7
Calculate the highest common divisor of 9228 and 12.
12
What is the highest common factor of 3408 and 1420?
284
Calculate the greatest common factor of 49 and 1274.
49
What is the highest common divisor of 256 and 2080?
32
Calculate the highest common divisor of 525 and 2325.
75
What is the highest common divisor of 12 and 100?
4
What is the greatest common factor of 1921 and 51?
17
Calculate the highest common divisor of 120 and 9600.
120
What is the greatest common factor of 352 and 110?
22
What is the greatest common factor of 248 and 408?
8
What is the highest common factor of 7 and 14?
7
What is the highest common divisor of 891 and 44?
11
Calculate the greatest common divisor of 2706 and 88.
22
Calculate the highest common divisor of 355 and 8804.
71
What is the highest common factor of 416 and 3224?
104
What is the highest common divisor of 48 and 72?
24
Calculate the highest common divisor of 105 and 70.
35
Calculate the greatest common divisor of 1 and 41.
1
What is the highest common divisor of 31510 and 548?
274
What is the highest common factor of 9075 and 225?
75
What is the greatest common factor of 576 and 18?
18
What is the highest common divisor of 540 and 20?
20
What is the highest common factor of 84 and 798?
42
What is the greatest common divisor of 1632 and 51?
51
What is the greatest common divisor of 1539 and 38?
19
Calculate the highest common factor of 10 and 3840.
10
What is the greatest common factor of 725 and 29?
29
Calculate the highest common factor of 561 and 102.
51
Calculate the greatest common factor of 91 and 455.
91
Calculate the greatest common factor of 3546 and 12.
6
What is the greatest common factor of 77 and 1243?
11
What is the greatest common factor of 135 and 110?
5
Calculate the highest common divisor of 7 and 147.
7
Calculate the greatest common divisor of 2 and 346.
2
What is the greatest common factor of 10675 and 70?
35
What is the highest common divisor of 182 and 1274?
182
What is the highest common divisor of 62 and 155?
31
Calculate the highest common factor of 3 and 381.
3
What is the greatest common factor of 6955 and 642?
107
What is the highest common factor of 11095 and 350?
35
Calculate the greatest common divisor of 1856 and 16.
16
Calculate the greatest common divisor of 94712 and 8.
8
What is the greatest common divisor of 69 and 1863?
69
What is the greatest common divisor of 33066 and 11?
11
Calculate the highest common factor of 5 and 685.
5
What is the greatest common divisor of 39 and 104?
13
What is the greatest common divisor of 136 and 5848?
136
What is the highest common divisor of 20 and 120140?
20
Calculate the highest common factor of 6951 and 84.
21
Calculate the highest common divisor of 88 and 671.
11
What is the greatest common divisor of 352 and 308?
44
What is the highest common factor of 4 and 34?
2
What is the greatest common divisor of 23 and 920?
23
What is the highest common divisor of 416 and 104?
104
What is the highest common factor of 12 and 8628?
12
Calculate the highest common divisor of 35 and 70.
35
Calculate the highest common factor of 18810 and 132.
66
What is the highest common factor of 3 and 123?
3
What is the highest common factor of 81 and 45?
9
What is the greatest common factor of 20 and 100?
20
What is the highest common factor of 40 and 380?
20
Calculate the greatest common divisor of 126 and 12.
6
What is the highest common factor of 1053 and 273?
39
What is the highest common factor of 95 and 513?
19
What is the highest common divisor of 15203 and 46?
23
What is the highest common divisor of 210 and 175?
35
Calculate the greatest common factor of 37552 and 16.
16
What is the highest common factor of 63 and 27?
9
What is the highest common divisor of 49 and 91?
7
Calculate the highest common factor of 40 and 312.
8
Calculate the highest common factor of 208 and 4056.
104
What is the greatest common divisor of 308 and 1672?
44
What is the highest common divisor of 13941 and 36?
9
What is the highest common factor of 126 and 117?
9
Calculate the highest common factor of 141 and 9.
3
Calculate the greatest common factor of 57 and 513.
57
What is the greatest common factor of 70 and 2240?
70
What is the greatest common divisor of 814 and 22?
22
Calculate the greatest common divisor of 48 and 32.
16
Calculate the greatest common divisor of 240 and 1536.
48
Calculate the greatest common factor of 1791 and 9.
9
What is the highest common divisor of 280 and 322?
14
What is the highest common factor of 43096 and 24?
8
Calculate the highest common factor of 348 and 1479.
87
Calculate the greatest common divisor of 189 and 84.
21
Calculate the greatest common factor of 39 and 897.
39
What is the highest common divisor of 189 and 1092?
21
Calculate the highest common divisor of 416 and 7384.
104
Calculate the highest common divisor of 34 and 4.
2
Calculate the highest common factor of 280 and 40.
40
Calculate the highest common factor of 210 and 60.
30
What is the greatest common factor of 1037 and 85?
17
What is the great | {
"pile_set_name": "DM Mathematics"
} |
+ 37528149
What is the o'th term of -106636, -428196, -964130, -1714438, -2679120, -3858176, -5251606?
-107187*o**2 + o + 550
What is the v'th term of -3116, 174, 3464, 6754?
3290*v - 6406
What is the d'th term of 41103, 322305, 1083713, 2565429, 5007555?
40017*d**3 + d**2 + 1080*d + 5
What is the l'th term of 8768512, 8768515, 8768506, 8768473, 8768404?
-2*l**3 + 6*l**2 - l + 8768509
What is the w'th term of 1591672, 1591665, 1591638, 1591579, 1591476, 1591317?
-2*w**3 + 2*w**2 + w + 1591671
What is the f'th term of -21380338, -21380341, -21380346, -21380353, -21380362?
-f**2 - 21380337
What is the y'th term of 97659, 98662, 99665?
1003*y + 96656
What is the i'th term of 58, 77, 132, 241, 422, 693, 1072, 1577?
3*i**3 - 2*i + 57
What is the k'th term of 113895908, 113895920, 113895932?
12*k + 113895896
What is the t'th term of 207134864, 207134865, 207134864, 207134861, 207134856, 207134849, 207134840?
-t**2 + 4*t + 207134861
What is the i'th term of -8477760, -16955520, -25433280?
-8477760*i
What is the r'th term of 531354, 1062711, 1594068, 2125425, 2656782, 3188139?
531357*r - 3
What is the g'th term of -842, -1465, -3158, -6455, -11890?
-89*g**3 - g**2 + 3*g - 755
What is the x'th term of -2464, -4950, -7424, -9886?
6*x**2 - 2504*x + 34
What is the c'th term of -5, -620, -1827, -3626, -6017, -9000, -12575?
-296*c**2 + 273*c + 18
What is the j'th term of 1800, 6910, 15394, 27252?
1687*j**2 + 49*j + 64
What is the v'th term of 29932, 119732, 269374, 478840, 748112, 1077172, 1466002, 1914584?
-3*v**3 + 29939*v**2 + 4*v - 8
What is the g'th term of -1273, -3150, -5749, -9070, -13113?
-361*g**2 - 794*g - 118
What is the u'th term of -46113, -92270, -138427?
-46157*u + 44
What is the j'th term of 4241589, 8483170, 12724747, 16966320, 21207889, 25449454?
-2*j**2 + 4241587*j + 4
What is the j'th term of 9329, 23020, 45817, 77702, 118657, 168664, 227705, 295762?
-3*j**3 + 4571*j**2 - j + 4762
What is the d'th term of 297851, 594954, 892057, 1189160, 1486263, 1783366?
297103*d + 748
What is the k'th term of -345567, -345467, -345367, -345267, -345167?
100*k - 345667
What is the y'th term of 3792, 4519, 5222, 5895, 6532?
-y**3 - 6*y**2 + 752*y + 3047
What is the a'th term of -17289, -30303, -43317, -56331?
-13014*a - 4275
What is the h'th term of -378, -229, 30, 411, 926, 1587, 2406, 3395?
2*h**3 + 43*h**2 + 6*h - 429
What is the x'th term of 5152579, 10305138, 15457687, 20610220, 25762731, 30915214, 36067663, 41220072?
-x**3 + x**2 + 5152563*x + 16
What is the d'th term of 284399580, 284399578, 284399566, 284399538, 284399488, 284399410, 284399298, 284399146?
-d**3 + d**2 + 2*d + 284399578
What is the t'th term of 8968, 8913, 8804, 8623, 8352?
-3*t**3 - 9*t**2 - 7*t + 8987
What is the j'th term of 185224, 185840, 186456?
616*j + 184608
What is the f'th term of 353, 2911, 9857, 23387, 45697, 78983?
366*f**3 - 2*f**2 + 2*f - 13
What is the p'th term of 7218, 16929, 26640?
9711*p - 2493
What is the x'th term of -277119, -554099, -831077, -1108053, -1385027?
x**2 - 276983*x - 137
What is the o'th term of -4509, -4429, -4273, -4029, -3685, -3229, -2649, -1933?
2*o**3 + 26*o**2 - 12*o - 4525
What is the x'th term of 1936, 1876, 1782, 1654, 1492, 1296, 1066?
-17*x**2 - 9*x + 1962
What is the c'th term of 807021, 1614021, 2420995, 3227931, 4034817, 4841641?
-2*c**3 - c**2 + 807017*c + 7
What is the o'th term of -514603, -514614, -514643, -514696, -514779, -514898, -515059?
-o**3 - 3*o**2 + 5*o - 514604
What is the z'th term of -7980, -8076, -8244, -8484, -8796, -9180?
-36*z**2 + 12*z - 7956
What is the n'th term of 14265, 13932, 13373, 12582, 11553?
-n**3 - 107*n**2 - 5*n + 14378
What is the k'th term of 43815392, 87630789, 131446186, 175261583?
43815397*k - 5
What is the a'th term of -164996, -164912, -164828, -164744, -164660, -164576?
84*a - 165080
What is the z'th term of 155, 2360, 4565, 6770, 8975, 11180?
2205*z - 2050
What is the f'th term of -52153, -207840, -467325, -830608, -1297689, -1868568, -2543245?
-51899*f**2 + 10*f - 264
What is the z'th term of -33602, -69370, -105138, -140906, -176674?
-35768*z + 2166
What is the j'th term of 451600, 903386, 1355170, 1806952, 2258732, 2710510, 3162286?
-j**2 + 451789*j - 188
What is the m'th term of -268, -1181, -2872, -5479, -9140?
-23*m**3 - 251*m**2 + m + 5
What is the d'th term of -41384, -165521, -372414, -662063, -1034468, -1489629?
-41378*d**2 - 3*d - 3
What is the i'th term of 310537, 620921, 931305, 1241689, 1552073, 1862457?
310384*i + 153
What is the c'th term of 8349711, 8349718, 8349727, 8349738?
c**2 + 4*c + 8349706
What is the b'th term of -1818, -7280, -16360, -29040, -45302, -65128?
3*b**3 - 1827*b**2 - 2*b + 8
What is the a'th term of 140297171, 140297174, 140297179, 140297186?
a**2 + 140297170
What is the n'th term of -51355, -101207, -151063, -200923?
-2*n**2 - 49846*n - 1507
What is the b'th term of -120620, -120564, -120522, -120500, -120504?
-b**3 - b**2 + 66*b - 120684
What is the m'th term of 3148372, 3148363, 3148354, 3148345, 3148336, 3148327?
-9*m + 3148381
What is the k'th term of -779, -1077, -1377, -1679?
-k**2 - 295*k - 483
What is the x'th term of -57292, -114554, -171794, -229012, -286208, -343382, -400534?
11*x**2 - 57295*x - 8
What is the h'th term of 35284316, 141137280, 317558888, 564549140, 882108036, 1270235576?
35284322*h**2 - 2*h - 4
What is the t'th term of 4371226, 4371225, 4371222, 4371217?
-t**2 + 2*t + 4371225
What is the g'th term of -2775, -10995, -24665, -43797, -68403, -98495, -134085?
-2*g**3 - 2713*g**2 - 67*g + 7
What is the m'th term of -6554, -13209, -19834, -26411, -32922?
3*m**3 - 3*m**2 - 6667*m + 113
What is the p'th term of 187293498, 187293499, 187293500, 187293501, 187293502?
p + 187293497
What is the w'th term of -13046183, -26092367, -39138563, -52184777, -65231015, -78277283, -91323587?
-w**3 - 13046177*w - 5
What is the v'th term of -78119, -78134, -78143, -78146, -78143?
3*v**2 - 24*v - 78098
What is the m'th term of 139616226, 279232450, 418848674?
139616224*m + 2
What is the q'th term of -1075250, -2150479, -3225658, -4300763, -5375770, -6450655, -7525394?
4*q**3 + q**2 - 1075260*q + 5
What is the p'th term of 15045560, 60182251, 135410062, 240728987, 376139020, 541640155?
-p**3 + 15045566*p**2 - 5
What is the p'th term of 172009, 170755, 169501, 168247, 166993, 165739?
-1254*p + 173263
What is the a'th term of 24890, 49844, 74858, 99926, 125042, 150200, 175394, 200618?
-a**3 + 36*a**2 + 24853*a + 2
What is the d'th term of -23399, -23803, -24203, -24599, -24991, -25379?
2*d**2 - 410*d - 22991
What is the i'th term of 709830, 1419772, 2129728, 2839704, 3549706, 4259740, 4969812?
i**3 + i**2 + 709932*i - 104
What is the b'th term of 112880, 226278, 339678, 453080, 566484, 679890?
b**2 + 113395*b - 516
What is the k'th term of -2672, -5351, -8026, -10697, -13364, -16027, -18686?
2*k**2 - 2685*k + 11
What is the o'th term of 17582723, 17582730, 17582737?
7*o + 17582716
What is the o'th term of 6950365, 6950366, 6950367?
o + 6950364
What is the u'th term of -5279, -5334, -5423, -5546, -5703, -5894, -6119?
-17*u**2 - 4*u - 5258
What is the d'th term of 418, 252, 100, -38, -162, -272?
7*d**2 - 187*d + 598
What is the d'th term of -455424, -455425, -455426, -455427, -455428?
-d - 455423
What is the t'th term of 13429, 13264, 13099, 12934?
-165*t + 13594
What is the b'th term of -9140, -16732, -24324, -31916?
-7592*b - 1548
What is the i'th term of -720931, -720918, -720901, -720880, -720855, -720826?
2*i**2 + 7*i - 720940
What is the o'th term of 387, 3329, 11323, 26895, 52571, 90877, 144339?
421*o**3 - 5*o - 29
What is the c'th term of -9033, -13929, -22089, -33513?
-1632*c**2 - 7401
What is the o'th term of -32555, -66055, -101429, -139613, -181543, -228155, -280385?
-156*o**3 - o**2 - 32405*o + 7
What is the q'th term of -230, -1715, -5744, -13601, -26570, -45935, -72980?
-214*q**3 + 12*q**2 - 23*q - 5
What is the y'th term of 2175570, 2175583, 2175596, 2175609?
13*y + 2175557
What is the v'th term of -926841, -3707321, -8341463, -14829273, -23170757, -33365921, -45414771, -59317313?
-v**3 - 926825*v**2 + 2*v - 17
What is the p'th term of -8459689, -16919399, -25379131, -33838891, -42298685, -50758519?
-p**3 - 5*p**2 - 8459688*p + 5
W | {
"pile_set_name": "DM Mathematics"
} |
actors of k?
3, 11
Suppose 5*f - 3*x - 1365 = 2*x, -5*x = 4*f - 1119. What are the prime factors of f?
2, 3, 23
Let k(q) = 87*q**2 - 2*q + 3. List the prime factors of k(1).
2, 11
Let i(h) be the second derivative of h**4/12 + 7*h**3/6 + 2*h**2 + 3*h. Let s be i(-3). Let z = 2 - s. List the prime factors of z.
2, 5
Let f be 295/9 + (-10)/(-45). Suppose f = p + 2*p. List the prime factors of (-1 + 0)/((-1)/p).
11
Suppose 0 = q + 1, 5*q = x - 4*x + 478. What are the prime factors of x?
7, 23
Let s be ((-1)/3)/((-4)/84). Suppose -4*c - 33 = -s*c. What are the prime factors of c?
11
Let b(j) = j**3 + 5*j**2 + 5*j + 4. Let y be b(-4). Suppose -4*w - w + 30 = y. What are the prime factors of w?
2, 3
Suppose -z + 2*d - 15 = 0, -4*d = 3*z - d + 18. Let t(p) = 9*p. Let b be t(5). What are the prime factors of 370/b + 2/z?
2
Let s(h) = 2*h - 2. Let k be s(6). Suppose k = -0*j + j. What are the prime factors of j?
2, 5
Suppose 2*v = 3*v - 2. Suppose v*k - 2*n = 3*k - 1, 5*n = 4*k - 30. What are the prime factors of k?
5
Let h = -7 - -10. Suppose -a + h = -0. List the prime factors of a.
3
Suppose -v = v + 2. Let g be (-2 - -2)*v + 2. Suppose -4*a = -g*o - 32, -2*a + 18 = a - 3*o. List the prime factors of a.
2, 5
Let n be 2/8*1*4. List the prime factors of (0 + 1)*3 + n.
2
Suppose -26 = k + 4*j, 104 - 8 = -3*k - 3*j. List the prime factors of (-2)/(2 - (-72)/k).
17
Let o(s) = 2*s - 5. Let t be o(0). Let y = 9 + t. What are the prime factors of y?
2
Let c = 98 + -17. What are the prime factors of c?
3
Suppose -28 = 5*x + 27. Let u = -8 - x. Let v(b) = -b**2 + 6*b - 4. List the prime factors of v(u).
5
Let t be 3/(-6)*4 + 2. Suppose -4*c = -t*c + 4*q, -2*c = -q + 3. What are the prime factors of (c + -16)/((-1)/1)?
17
Let f(a) = -a**3 + 5*a**2 - 4*a + 3. Let h be f(4). Suppose -2*b = -h*b. Suppose -3*s = -b*s - 4*j - 34, 2*s - 51 = -3*j. List the prime factors of s.
2, 3
Let g(i) = -38*i**3 + 3*i**2 + i + 1. List the prime factors of g(-2).
3, 5, 7
Let g be (-338)/(-8) + 1/(-4). Let u be ((-22)/(-3))/((-10)/30). Let c = g + u. What are the prime factors of c?
2, 5
Let g be (-1)/(2/(-6*5)). Let z be (-5)/2*(-12)/g. Suppose -z*h = h - 36. List the prime factors of h.
2, 3
Suppose -z = 3 - 1. Let q = z + 12. What are the prime factors of q?
2, 5
Suppose -h + 3*t + 1 + 8 = 0, 3*h + 2*t = -17. Let c = h - -42. List the prime factors of c.
3, 13
Let p be 1/(-4) - 312/32. What are the prime factors of -6*2/12*p?
2, 5
Let r(l) = l**3 + 27*l**2 - 3*l + 12. What are the prime factors of r(-27)?
3, 31
Suppose i = 4*i - 5*j - 28, -4*i - j + 22 = 0. Let l = i - -3. What are the prime factors of 2/3 - (-12)/l?
2
Suppose 0 = -2*u - 2 + 6. Suppose -3*n + 4*w + 8 = -n, -u = n - 5*w. List the prime factors of n.
2
Let c(x) = -x**3 + 3*x**2 - 2. Let t be c(2). Suppose 0*l - t*m - 4 = 2*l, 6 = -2*l - 3*m. Let g = 5 + l. What are the prime factors of g?
5
Let a(v) = 0 - 1 + 12*v**3 - v - v**2 + 2*v. Suppose -8 + 5 = -3*p. What are the prime factors of a(p)?
11
Suppose k - 5*i + 137 = 3*k, 0 = 5*k - 4*i - 293. List the prime factors of k.
61
Suppose -4*t - 100 = t. What are the prime factors of ((-18)/5)/(t/200)?
2, 3
Let w(h) = h**2 + 10*h + 5. Let x(r) = -4*r**2 - 41*r - 21. Let k(n) = 9*w(n) + 2*x(n). Let m be (1*4)/(2/(-4)). What are the prime factors of k(m)?
3
Let u = 11 - 11. Suppose 0 = -u*o - 4*o + 64. What are the prime factors of o?
2
Suppose -3*z + 3 + 0 = 0. List the prime factors of (-3)/z + 6 + 2.
5
Suppose -j - c + 12 = 3, 0 = 2*j + c - 15. Suppose 103 = 3*b - 17. Suppose -b = 2*q - j*q. What are the prime factors of q?
2, 5
Let h(a) be the third derivative of 7*a**4/6 - a**3/6 - 3*a**2. What are the prime factors of h(1)?
3
Suppose 5*k - 25 = -5*l, -3*l + 3*k = -1 + 4. Suppose l = -5*x + 12. Suppose a = -x*a + 18. List the prime factors of a.
2, 3
Suppose 3*p = -p + 324. Suppose -5*r = 2*m + p, m - 43 - 14 = 4*r. What are the prime factors of (-159)/r - 4/(-10)?
11
Suppose -2*h + 16 + 233 = 5*r, 20 = -4*r. List the prime factors of h.
137
Let n(y) = y**3 + y**2 - 3*y + 3. Let f be n(2). List the prime factors of 1 - -14 - (7 - f).
17
Let q(z) = -z**2 + 11*z - 12. Suppose 3*a - 19 = -4*u + 22, 5*u = -2*a + 46. List the prime factors of q(u).
2, 3
Suppose -5*j - 3*d = -245, -2*j - d - 245 = -7*j. Let k = j + -24. List the prime factors of k.
5
Let q = 55 - 12. List the prime factors of q.
43
Let y(o) = o**3 - 16*o**2 + o - 14. What are the prime factors of y(16)?
2
Suppose l - 76 = 3*x + 65, 4*x = -4*l + 516. List the prime factors of l.
2, 3, 11
Let g(m) = -m**2 - 27*m + 51. What are the prime factors of g(-16)?
227
Suppose -2*f + 5*z + 80 = 0, 217 = 6*f - f - 4*z. What are the prime factors of f?
3, 5
Suppose -9*d + 100 = -5*d. List the prime factors of d.
5
Let n(c) = 18 + c**2 + 0*c**2 - 19. Let q be n(-1). Suppose -115 = -5*a - y, 3*y = -q*y - 15. What are the prime factors of a?
2, 3
Let i(u) = 103*u**2 - 3*u + 1. List the prime factors of i(-1).
107
List the prime factors of (606/9)/(6/9).
101
Let u = -8 - -14. Suppose 3*w - 2*v - 3*v = u, w + 5*v = 22. What are the prime factors of w?
7
Let h(w) = w**3 - 5*w**2 - 7*w + 9. Let b(y) be the second derivative of -y**4/12 - y**3 + 3*y**2 + 2*y. Let d be b(-6). List the prime factors of h(d).
3
List the prime factors of 251/4 - (-15)/(-20).
2, 31
Suppose 3*u - 7 - 83 = 0. List the prime factors of u.
2, 3, 5
Suppose 0 = -p + 5*s, -4*s + 28 = 3*p - 5*s. Let n(m) = m**2 - 7*m + 5. Let c be n(4). Let r = c + p. What are the prime factors of r?
3
Suppose 5*y - 194 = -s + 3*s, 4*y + 5*s - 175 = 0. List the prime factors of y.
2, 5
Let o be (1*-1)/((-9)/18). Suppose 0*c = -o*c + 104. What are the prime factors of c?
2, 13
Let x(y) = y**3 + 8*y**2 - 2*y - 2. Let g = -9 - -1. What are the prime factors of x(g)?
2, 7
Suppose -5*i + 6 = -4. What are the prime factors of (-427)/(-28) + i/(-8)?
3, 5
Let p be (-10)/(0 - 2/8). What are the prime factors of (2/4)/(2/p)?
2, 5
Let p(l) = -l**2 + 2*l - 1. Let k be p(6). Let x = k - -42. What are the prime factors of x?
17
Suppose s - 4 = 2*s. What are the prime factors of 2/s*-42 - 0?
3, 7
Let s = 6 + -3. List the prime factors of ((-50)/s)/(2/(-3)).
5
What are the prime factors of (-3 + 2)/((-2)/14)?
7
Let a(u) be the third derivative of -u**4/24 + u**3/3 - 2*u**2. Let d be (-19)/2 + (-3)/6. What are the prime factors of a(d)?
2, 3
Suppose -17 = -4*b - 1. Suppose 2*v + 21 = 4*g + 1, -13 = -3*g + v. Suppose 0 = -5*j + j - b*h + 84, -g*h + 95 = 5*j. What are the prime factors of j?
2
Suppose 2*s - 47 = -m, -3*s - 4*m + 29 + 54 = 0. Suppose q = 3*i + 24, -2*i + 6*i = q - s. What are the prime factors of q?
3, 11
Suppose 1 + 5 = 3*s. Suppose 4*t + s - 106 = 0. List the prime factors of t.
2, 13
Suppose 4*o - 164 - 172 = 0. What are the prime factors of o?
2, 3, 7
What are the prime factors of (-12)/(-4 + 1) - -221?
3, 5
Let w = -13 - -30. What are the prime factors of w?
17
Suppose 256 = 2*r - 432. List the prime factors of r.
2, 43
Suppose 62 = 4*v + 2*b, 2*v + 5*b - 43 = -0*b. Suppose -a - 12 = -k, 2*k - v = -3*a - 5. What are the prime factors of k?
3
Let g = 39 - 27. Let k = 2 + g. List the prime factors of k.
2, 7
Let k be 0 + (0 - -2*1). Suppose -k = 2*i + 2. Let h = i - -15. List the prime factors of h.
13
Suppose -3*s = 2*s - 375. List the prime factors of s.
3, 5
Suppose -h + 10 = g, 31 = 4*g - h + 6. Let r = -1 + g. What are the prime factors of r - -3 - 3/(-1)?
2, 3
Suppose f = 5*s + 58, -28 = -2*f - 5*s + 43. List the prime factors of f.
43
Let c(i) = -i**3 - i**2 + 3*i + 2. Let a be c(-2). Suppose a = 3*p - p - 6, -v + 7 = -p. List the prime factors of v.
2, 5
Let c(u) = u**3 - u**2 - u + 1. Let p(s) = -5*s**3 - 4*s**2 + 14*s + 2. Let g(q) = 6*c(q) + p(q). Let n be g(9). Let b = 2 - n. What are the prime factors of b?
3
Suppose -4*f = -5 - 115. What are the prime factors of f?
2, 3, 5
Suppose 0*j + 130 = 2*z - 5*j, 65 = z - 3*j. List the prime factors of z.
5, 13
Let i(p) be the third derivative of -p**2 - 1/12*p**4 - 7/60*p**5 - 7/6*p**3 - 1/120*p**6 + 0*p + 0. List the prime factors of i(-7).
7
Let d = 57 + 216. List the prime factors of d.
3, 7, 13
Suppose 0 = -5*y + v + 105, -3*v = -5*y + 2*v + 85. What are the prime factors of y?
2, 11
Suppose 3*r + 2*r = 0. | {
"pile_set_name": "DM Mathematics"
} |
What is o(36)?
-3
Let n(z) = z + 1. Determine n(3).
4
Let f(o) = 5*o**2 - 7*o - 17. What is f(5)?
73
Let l(j) = 7*j - 3. What is l(1)?
4
Let l(t) = -3*t**2 - 3*t + 1. Calculate l(-3).
-17
Let k(q) = -4*q**2 + 7*q - 2. Give k(4).
-38
Let b(a) = 28*a + 107. Give b(-4).
-5
Let g(v) = v**3 + v**2 - 30. Give g(0).
-30
Let h(o) = -o**2 + 2*o - 4. Calculate h(1).
-3
Let q(r) = 5*r - 38. Give q(16).
42
Let u(q) = 12*q + 111. Give u(-9).
3
Let h(z) = 69*z - 142. Give h(2).
-4
Let a(x) = -7*x**2 - 1. Determine a(2).
-29
Let v(x) = x**3 - x**2 - 34. Calculate v(0).
-34
Let b(m) = 19*m**3 - 2*m**2 - m. What is b(-1)?
-20
Let k(v) = v**3 - 6*v**2 - 4*v + 10. Calculate k(5).
-35
Let c(n) = -n**3 - 10*n**2 - 23*n - 14. Calculate c(-7).
0
Let r(t) = -22*t + 25. What is r(3)?
-41
Let a(o) = o**3 + 5*o**2 + 9*o + 4. Calculate a(-2).
-2
Let a(c) = c**2 + 16*c - 15. Give a(-13).
-54
Let u(d) = 4*d**2 + 8*d + 6. Calculate u(-3).
18
Let l(m) = m**3 - 15*m**2 - 17*m + 26. What is l(16)?
10
Let j(u) = 14*u**3 + u - 2. Calculate j(1).
13
Let r(p) = p**3 - 12*p**2 + p - 3. Determine r(12).
9
Let x(r) = 2*r - 28. What is x(14)?
0
Let y(n) = -n**3 - 3*n**2 + 13*n + 19. What is y(-3)?
-20
Let s(k) = k**2 + 5*k + 11. What is s(-8)?
35
Let d(p) = -39*p - 6. What is d(-2)?
72
Let q(i) = 3*i**2 + 24*i - 51. What is q(-10)?
9
Let l(o) = o**2 + 16*o - 17. Determine l(-19).
40
Let d(q) = 2*q**2 + 61*q + 432. Determine d(-11).
3
Let h(w) = 9*w + 55. Calculate h(-7).
-8
Let k(x) = -x**3 - 12*x**2 - 15*x - 13. Calculate k(-11).
31
Let u(l) = 34*l - 5. Determine u(0).
-5
Let g(c) = c**3 + 4*c**2 - 3*c. Determine g(-4).
12
Let k(p) = p**3 + 10*p**2 + p - 8. What is k(-11)?
-140
Let f(d) = -d**3 + 5*d**2 - 4*d + 9. Give f(4).
9
Let q(s) = -s**2 + 15*s - 13. Give q(13).
13
Let x(k) = -7*k + 12. What is x(-4)?
40
Let s(c) = -c**2 + 8*c - 11. Give s(6).
1
Let r(u) = -4*u - 8. What is r(-7)?
20
Let r(u) = -u**2 - 12*u - 15. What is r(-11)?
-4
Let n(o) = -14*o - 297. Calculate n(-24).
39
Let w(z) = -21*z - 1367. Calculate w(-65).
-2
Let g(h) = 5*h + 3. Give g(-5).
-22
Let t(a) = -7*a + 3. Calculate t(4).
-25
Let u(d) = d**3 - 10*d**2 + 16. Determine u(9).
-65
Let i(y) = -y**3 - 13*y**2 - 12*y - 4. Determine i(-12).
-4
Let u(r) = r**2 + 4*r + 2. Determine u(-6).
14
Let y(o) = -o**2 - 13*o - 13. What is y(-10)?
17
Let b(y) = y**3 - 5*y**2 - 2*y + 4. Give b(6).
28
Let l(p) = p**2 - p - 4. Determine l(-5).
26
Let q(g) = -10*g - 2. Give q(3).
-32
Let z(o) = -30*o - 67. Calculate z(-3).
23
Let a(b) = -32*b - 180. What is a(-5)?
-20
Let d(w) = w**3 - 4*w**2 - 3*w + 2. Calculate d(4).
-10
Let d(k) = -k**3 - 3*k**2 + 8*k - 4. Determine d(-5).
6
Let n(b) = -4*b - 35. Calculate n(-15).
25
Let h(j) = -j**2 - 6*j + 46. Determine h(-10).
6
Let o(u) = 8*u**2 - 2*u + 1. What is o(-1)?
11
Let s(n) = n**3 - 5*n**2 - 7*n + 6. Calculate s(6).
0
Let q(h) = 4*h - 44. Calculate q(8).
-12
Let c(y) = 5*y**3 - 3*y**2 - 6*y - 5. Give c(-3).
-149
Let o(d) = -d**3 - 26*d**2 + 57*d + 5. What is o(-28)?
-23
Let f(m) = -2*m**2 - 12*m + 79. Determine f(-11).
-31
Let u(a) = -a**3 + 9*a**2 - 10*a. Determine u(5).
50
Let z(r) = -11*r - 43. What is z(-5)?
12
Let s(d) = d**3 - 14*d**2 - 17*d + 2. Determine s(15).
-28
Let u(c) = c**3 - 3*c**2 - 5*c + 9. Calculate u(4).
5
Let t(r) = -r**3 - 5*r**2 + 16*r + 25. Calculate t(-5).
-55
Let f(h) = h**2 - 15*h - 23. Determine f(16).
-7
Let f(a) = -3*a + 2. What is f(4)?
-10
Let d(o) = -24*o - 22. What is d(-1)?
2
Let o(l) = l + 4. Determine o(-8).
-4
Let v(b) = -2*b + 18. Determine v(8).
2
Let k(m) = -m**2 - 7*m + 19. Give k(-9).
1
Let q(s) = -15*s - 15. Determine q(5).
-90
Let m(h) = h**2 + 4*h - 10. What is m(-9)?
35
Let d(f) = -168*f - 677. Determine d(-4).
-5
Let a(d) = d**2 - 18. Determine a(-4).
-2
Let x(s) = -2*s - 11. What is x(-9)?
7
Let p(n) = -n**3 - 7*n**2 - 5*n - 1. What is p(-5)?
-26
Let v(y) = 2*y**2 + y - 9. What is v(0)?
-9
Let k(b) = b**3 - 6*b**2 - b - 6. Give k(6).
-12
Let a(m) = -m**3 - 15*m**2 - 14*m - 7. What is a(-14)?
-7
Let u(f) = -12*f - 21. What is u(-3)?
15
Let u(o) = -o**2 + 10*o - 23. Calculate u(4).
1
Let a(j) = 5*j - 4. Give a(2).
6
Let t(k) = -15*k - 405. Calculate t(-27).
0
Let m(w) = w**3 + 4*w**2 - 4*w - 5. What is m(-6)?
-53
Let w(c) = c**3 + 10*c**2 + c + 10. Calculate w(-10).
0
Let d(j) = j**3 + 22*j**2 - 22*j + 23. What is d(-23)?
0
Let x(a) = 2*a - 5. Determine x(7).
9
Let t(k) = -k**3 - 25*k**2 - 26*k - 49. Calculate t(-24).
-1
Let k(q) = -2*q**2 - 18*q + 2. What is k(-9)?
2
Let s(w) = -w**3 - 5*w**2 - 2*w. Determine s(-2).
-8
Let d(q) = -23*q + 142. Calculate d(6).
4
Let t(c) = -c**2 - 9*c + 28. What is t(-12)?
-8
Let o(f) = -2*f - 22. Give o(3).
-28
Let z(a) = -5*a + 65. Calculate z(14).
-5
Let n(g) = -g + 10. What is n(18)?
-8
Let y(c) = c**3 - 2*c**2 - 13*c + 4. Give y(4).
-16
Let x(t) = -22*t**2 - 2*t + 1. Calculate x(1).
-23
Let g(q) = 2*q**3 + 3*q**2 + 2*q + 1. Calculate g(-2).
-7
Let x(m) = m**2 + 6*m + 3. What is x(-3)?
-6
Let o(n) = 34*n - 6. Give o(-1).
-40
Let f(j) = -44*j**2 + 13*j - 14. Give f(1).
-45
Let t(p) = p**2 + 19*p - 33. Calculate t(-20).
-13
Let p(t) = -t**3 + 4*t**2 - 3. Calculate p(4).
-3
Let q(z) = 2*z + 2. Calculate q(5).
12
Let y(v) = -2*v - 2. Calculate y(-3).
4
Let f(r) = 41*r + 27. Give f(4).
191
Let c(b) = 27*b + 993. Calculate c(-37).
-6
Let j(m) = 4*m**2 + 89*m + 20. What is j(-22)?
-2
Let c(j) = 2*j + 34. Calculate c(-11).
12
Let n(c) = 31*c**3 + c**2 + 5*c - 5. Give n(1).
32
Let c(g) = -g**3 - 8*g**2 - 14*g - 12. Calculate c(-5).
-17
Let y(k) = k**3 - 20*k**2 + 36*k - 7. Determine y(18).
-7
Let q(b) = -2*b + 3. What is q(4)?
-5
Let g(x) = x**3 + 12*x**2 + 11*x + 8. Give g(-11).
8
Let q(t) = -t**3 + 8*t**2 + 12*t + 13. Calculate q(10).
-67
Let s(t) = t**3 - 5*t - 2. Calculate s(5).
98
Let z(g) = 2*g + 13. What is z(-13)?
-13
Let s(g) = 3*g**2 - 6. Determine s(0).
-6
Let z(d) = -40*d + 148. Calculate z(4).
-12
Let x(v) = 2*v**2 - 3*v + 8. Determine x(2).
10
Let c(w) = 2*w**2 + 20*w - 1. What is c(-11)?
21
Let d(y) = -y - 14. Calculate d(-4).
-10
Let k(r) = r**3 - 2*r**2 + 3*r + 2. Calculate k(3).
20
Let b(l) = -l**2 - 6*l + 192. Calculate b(11).
5
Let o(q) = -5*q**2 + q + 13. What is o(5)?
-107
Let u(c) = c**2 + 2*c - 3. What is u(-2)?
-3
Let r(i) = -i**3 - 20*i**2 - 20*i - 14. Calculate r(-19).
5
Let r(d) = -d**2 - 31*d + 518. What is r(-43)?
2
Let w(d) = 2*d - 3. Give w(4).
5
Let w(b) = b**2 - 5*b - 3. What is w(6)?
3
Let j(m) = m**2 - 11*m + 7. What is j(5)?
-23
Let j(r) = 22*r**2 + 2. Give j(-2).
90
Let g(l) = 25*l + 25. Determine g(-1).
0
Let f(h) = -2*h**3 - 15*h**2 - 11*h + 15. Calculate f(-6).
-27
Let m(p) = 2*p**2 - 3*p - 6. What is m(0)?
-6
Let p(z) = -z**2 - 8*z - 2. What is p(-9)?
-11
Let c(b) = -b**3 + 5*b**2 - 6*b + 2. What is c(4)?
-6
Let q(z) = -z**3 + 5*z**2 + 9*z - 17. Determine q(6).
1
Let p(m) = 5*m + 12. Give p(-8).
-28
Let i(y) = 9*y**3 + y**2 - 2*y + 1. What is i(1)?
9
Let q(o) = -2*o**3 + 6*o**2 - 4. What is q(4)?
-36
Let a(h) = 13*h**2 - 14*h + 7. Calculate a(3).
82
Let f(n) = -14*n - 309. Determine f(-21).
-15
Let d(v) = 38*v - 33. Give d(4).
119
Let f(h) = h**3 + 7*h**2 + h + 1. What is f(-7)?
-6
Let k(c) = c**3 - 3*c**2 - 5*c - 10. Determine k(5).
15
Let q(z) = -z**3 + 16*z**2 - 18*z + 34. Give q(15).
-11
Let w(c) = c**3 + 12*c**2 + 33*c - 11. Give w(-7).
3
Let x(s) = 2*s**2 - 21*s - 210. Calculate x(-6).
-12
Let h(z) = z**3 + 5*z**2 - 9*z - 17. What is h(-6)?
1
Let w(l) = -174*l + 2265. Give w(13).
3
Let o(z) = z**3 - 6*z**2 + 3*z + 6. Calculate o(5).
-4
Let w(g) = g**2 + 5*g + 15. Calculate w(-11).
81
Let o(q) = -4*q + 39. Calculate o(11).
-5
Let b(p) = -2*p**3 - 26*p**2 - 2*p - 28. Determine b(-13).
-2
Let j(f) = -f**2 - 5*f - 27. Give j(-7).
-41
Let r(f) = f - 5. Calculate r(-8).
-13
Let u(x) = -x**3 - 5*x**2 + 2*x - 6. Determine u(-5).
-16
Let b(o) = o**3 - 4*o**2 - 17*o + 38. Give b(6).
8
Let w(f) = -f**2 - 3*f + 2. What is w(-2)?
4
Let s(n) = -n**3 - 16*n**2 - 38*n + 23. What is s(-13)?
10
Let o(h) = 3*h - 54. Calculate o(18).
0
Let f(k) = k**3 - 4*k**2 - 8*k + 7. What is f(5)?
-8
Let k(w) = w**2 - 5*w - 43. Calculate k(10).
7
Let m(c) = c**2 + 14*c - 4. Give m(-15).
11
Let y(v) = -v + 7. What is y(7)?
0
Let n(t) = -t**3 + 5*t**2 - 6*t + 4. What is n(4)?
-4
Let q(n) = | {
"pile_set_name": "DM Mathematics"
} |
+ 1)*(b + 2)/2
Let x be (72/(-20))/((-4)/10). Determine w so that 2*w**2 + 9*w - x*w + 2*w**3 = 0.
-1, 0
Factor 2*z**2 - 3*z**2 + 0*z**2 - 9 + 6*z + 0*z.
-(z - 3)**2
Let g(d) = d**2 + 0*d**2 + 0*d - 11 - 3 + 3*d. Let c be g(-6). Factor 0*s + 2/3*s**c + 0*s**2 + 0 - 2/3*s**3.
2*s**3*(s - 1)/3
Let i(k) be the first derivative of -8*k**6/15 - 12*k**5/25 + k**4 + 4*k**3/5 - 2*k**2/5 - 7. Find n such that i(n) = 0.
-1, 0, 1/4, 1
Let r(v) be the second derivative of -56/3*v**3 - 8*v**2 + 10*v - 74/15*v**6 + 0 - 73/5*v**5 - 67/3*v**4 - 2/3*v**7. Suppose r(j) = 0. Calculate j.
-2, -1, -2/7
Let c(i) = -i - 1. Let u be c(-6). Let p = 9 - u. Factor 0*r + 2*r - 2*r**3 + p*r**3 - 4*r**2.
2*r*(r - 1)**2
Let r(m) be the first derivative of m**5/30 - m**4/27 - m**3/27 - 3*m - 7. Let w(y) be the first derivative of r(y). Suppose w(z) = 0. What is z?
-1/3, 0, 1
Let o(b) be the first derivative of 1/9*b**3 - 7 + b + 2/3*b**2. Determine x so that o(x) = 0.
-3, -1
Let u(v) be the third derivative of v**2 + 1/210*v**5 + 0*v**4 + 0*v - 1/735*v**7 + 0*v**6 + 0 + 0*v**3. Factor u(m).
-2*m**2*(m - 1)*(m + 1)/7
Let g(h) be the first derivative of 0*h**3 + 0*h**5 + 0*h**4 + 1/180*h**6 + 0*h - 1/2*h**2 - 3. Let c(t) be the second derivative of g(t). Factor c(w).
2*w**3/3
Let o = 214 - 1066/5. Let -o*u**4 - 1/5*u**5 - 2/5*u**2 - u**3 + 0 + 0*u = 0. Calculate u.
-2, -1, 0
Let c(n) = n**4 - n**3 + n**2 + n. Let s(i) = 8*i**4 + 2*i**3 + 12*i**2 - 2*i - 8. Let t(z) = 6*c(z) - s(z). Factor t(k).
-2*(k - 1)*(k + 1)*(k + 2)**2
Let h(p) = 11*p**2 - p + 2. Let k be h(1). Let o be (0 + 1)/(30/k). Factor -4/5 + 6/5*j - o*j**2.
-2*(j - 2)*(j - 1)/5
Let h(y) be the third derivative of 0*y - 1/40*y**6 - y**2 + 0 - 3/70*y**7 + 1/8*y**4 + 1/4*y**5 - y**3. Determine n so that h(n) = 0.
-1, 2/3, 1
Suppose 5 = -k + 10. Suppose 4*a - k = 7. Factor 0 + 0*f + 2/11*f**a - 2/11*f**2.
2*f**2*(f - 1)/11
Let w(m) be the third derivative of -m**6/300 + 10*m**2. Determine o, given that w(o) = 0.
0
Let z(p) = -p**2 - p + 4. Let n be z(-2). Factor 3/7*b + 1/7*b**3 + 1/7 + 3/7*b**n.
(b + 1)**3/7
Let y(a) be the third derivative of a**8/224 - a**7/70 - 3*a**6/80 + a**5/10 + a**4/4 + 20*a**2. Factor y(h).
3*h*(h - 2)**2*(h + 1)**2/2
Let v(z) = -z**2 + 12*z - 32. Let l be v(8). Solve -1/2*j**3 + l*j**2 + 0*j + 1/2*j**5 + 0*j**4 + 0 = 0.
-1, 0, 1
Let d(p) = -9*p**5 + 7*p**4 - 5*p**3 - 7*p. Let r(o) = 4*o**5 - 3*o**4 + 2*o**3 + 3*o. Let f(j) = 3*d(j) + 7*r(j). Factor f(b).
b**3*(b - 1)*(b + 1)
Suppose 0 = 15*p - 26*p + 44. Determine r so that 0 - 14/3*r**3 - 2/3*r - 10/3*r**2 - 2*r**p = 0.
-1, -1/3, 0
Solve 3/4*k + 3/4*k**2 - 3/2 = 0 for k.
-2, 1
Let u(o) be the second derivative of o**7/189 - 8*o**6/135 + o**5/15 + 20*o**4/27 + 25*o**3/27 - 10*o. Let u(h) = 0. Calculate h.
-1, 0, 5
Let p(l) be the third derivative of -2*l**7/105 + l**6/15 + l**5/5 - 4*l**4/3 + 8*l**3/3 + 7*l**2. Factor p(y).
-4*(y - 2)*(y - 1)**2*(y + 2)
Let x(d) = d**2 + 4*d + 3. Suppose -16 = 6*a - 2*a. Let j be x(a). Factor 6*r + 10*r**2 - 15*r**4 + 3*r**3 - 16*r**2 + 24*r**3 + j*r**5 - 15*r**2.
3*r*(r - 2)*(r - 1)**3
Let i(m) be the second derivative of 1/28*m**7 + 0*m**3 + 4*m - 1/80*m**5 + 1/24*m**4 - 7/120*m**6 + 0 + 0*m**2. Let i(g) = 0. What is g?
-1/2, 0, 2/3, 1
Let a = 7/4 + -37/24. Let p(o) be the third derivative of 0 - 3/40*o**6 - 1/6*o**3 + a*o**4 - 3*o**2 - 1/20*o**5 + 0*o. Factor p(u).
-(u + 1)*(3*u - 1)**2
Let f = -3 - -3. Suppose 0*a - 2*a = f. Find j, given that j - 3*j**4 + a*j**5 - j**5 + j**4 + 2*j**2 = 0.
-1, 0, 1
Find s such that -4/7*s**4 + 8/7*s**3 + 0 + 4/7*s**2 - 8/7*s = 0.
-1, 0, 1, 2
Solve -1/5 + 1/5*k**2 + 0*k = 0.
-1, 1
Factor 21/4*r**2 - 27/4*r + 3/2.
3*(r - 1)*(7*r - 2)/4
Let g(n) be the second derivative of 0*n**4 - 1/210*n**7 + 1/150*n**6 + 0*n**5 + 6*n + 0 + 0*n**3 + 0*n**2. Factor g(w).
-w**4*(w - 1)/5
Let r = -9 - -7. Let l be 1/r*(1 + -5). Determine u so that -5 + 3*u - 4*u**4 + 0 + u**4 - 2*u**3 + 2*u**l - u**5 + 6 = 0.
-1, 1
Suppose -10 = k - 2*z + 6*z, -3*k + 2*z + 40 = 0. Let i = -8 + k. Factor 4*f - 3 - 3*f - 3*f + 1 + 4*f**i.
2*(f - 1)*(2*f + 1)
Let n(j) = j**3 + 4*j**2 + 11*j - 4. Let z(q) = -5*q**3 - 25*q**2 - 65*q + 25. Let i(x) = 35*n(x) + 6*z(x). Find b, given that i(b) = 0.
-1, 1, 2
Factor -2*d**3 - 16/9 + 2*d + 14/9*d**2 + 2/9*d**4.
2*(d - 8)*(d - 1)**2*(d + 1)/9
Let y(z) = -6*z**3 - 34*z**2 - 20*z + 3. Let s(h) = -18*h**3 - 102*h**2 - 60*h + 8. Let b(l) = -3*s(l) + 8*y(l). Factor b(j).
2*j*(j + 5)*(3*j + 2)
Let d = 1 + 1. Let g = 4 - 2. Factor 2*h - 6*h + g*h**3 + 2*h**3 + d*h**4 - 2.
2*(h - 1)*(h + 1)**3
Let k = -2669/5 + 535. Solve -4/5*y + 2/5*y**2 - k = 0.
-1, 3
Let q(n) be the second derivative of -3*n**6/20 - 2*n**5/5 - 5*n**4/24 + n**3/6 - 17*n. Factor q(k).
-k*(k + 1)**2*(9*k - 2)/2
Let c = 302 - 298. Find p such that 4/3*p**3 + 0*p + 4/3*p**2 + 1/3*p**c + 0 = 0.
-2, 0
Let x(q) be the second derivative of 6*q**5/5 + 7*q**4/3 - 22*q**3/3 - 4*q**2 + q. Factor x(r).
4*(r - 1)*(r + 2)*(6*r + 1)
Let h(x) = x**2 - 7*x - 28. Let j be h(10). Let c(q) be the first derivative of -1/15*q**6 - q**4 - 4/3*q**3 - 2/5*q**5 - 2/5*q - q**j + 1. Factor c(g).
-2*(g + 1)**5/5
Let s = -202 - -98. Let j = 337/3 + s. Factor -3 + 10*i - j*i**2.
-(5*i - 3)**2/3
Determine u, given that -2/7*u**4 + 6/7*u - 2/7*u**2 - 6/7*u**3 + 4/7 = 0.
-2, -1, 1
Let f be (501/284 - 2)*-2. Let y = 2/71 + f. Find t such that -t**4 + 0*t**3 + y*t**5 + 0 + 0*t**2 + 0*t = 0.
0, 2
Let g(f) be the first derivative of 3*f**5/5 - 3*f**4/4 - 3*f**3 + 15*f**2/2 - 6*f - 8. Suppose g(k) = 0. What is k?
-2, 1
Let g(h) be the second derivative of -5/12*h**4 + 0 - 2/3*h**3 - 1/2*h**2 - 1/10*h**5 - 9*h. Factor g(o).
-(o + 1)**2*(2*o + 1)
Suppose 4*m**2 - 8 - 3*m**2 + 12 + m**2 + 6*m = 0. What is m?
-2, -1
Let h(m) = -6*m**4 - 9*m**3 + 30*m**2 - 33. Let t(o) = 3*o**4 + 4*o**3 - 15*o**2 + 16. Let p(q) = 4*h(q) + 9*t(q). Solve p(v) = 0.
-2, -1, 1, 2
Let w(p) = -32*p + 2. Let r be w(-3). Let a = -486/5 + r. Factor a - 14/5*q + 6/5*q**2.
2*(q - 2)*(3*q - 1)/5
Suppose a + 0 = 2. Suppose 0*d = 5*y + 4*d + 10, -33 = -4*y + 5*d. Determine j, given that 3*j**5 + y*j**a - 3*j**5 - 2*j**5 + 2*j**4 + 2*j**3 - 4*j**4 = 0.
-1, 0, 1
Factor 2/5*j**2 + 12/5*j + 0.
2*j*(j + 6)/5
Let x(l) be the first derivative of -4 + 3/4*l**4 - 1/2*l**6 - l**3 + 0*l + 3/5*l**5 + 0*l**2. Factor x(h).
-3*h**2*(h - 1)**2*(h + 1)
Factor -1/6*r**2 + 1/3 + 1/6*r.
-(r - 2)*(r + 1)/6
Let f(h) = h + 2. Let v be f(-6). Let w(k) = -k**3 - 2*k**2 + k - 2. Let b(a) = -2*a**3 - 5*a**2 + 2*a - 5. Let i(p) = v*b(p) + 10*w(p). Factor i(o).
-2*o*(o - 1)*(o + 1)
Factor -10 - 23*u**3 - 8*u + 10 + 19*u**3 + 12*u**2.
-4*u*(u - 2)*(u - 1)
Let s(g) = -2*g**2 + 48*g. Let v be s(24). Factor 0*d + v + 1/6*d**3 + 1/2*d**2.
d**2*(d + 3)/6
Suppose 3*g + 5*j = 5*g + 7, 2*j + 2 = 2*g. Factor 0 - 1/4*y**3 + 3/4*y**g - 3/4*y**2 + 1/4*y.
y*(y - 1)*(y + 1)*(3*y - 1)/4
Suppose -5*w + 6 - 21 = 0. Let y(h) = -h**3 - 3*h**2 + h. Let p(g) = 6*g**3 + 16*g**2 - 6*g. Let l(t) = w*p(t) - 16*y(t). Determine a so that l(a) = 0.
-1, 0, 1
Let o = -4 + 9. Suppose -5*h + 4 = 4*a, o*a - 2*a = 3. Let 2/3*b**3 + 1/3*b**4 + h*b**2 - 2/3*b - 1/3 = 0. What is b?
-1, 1
Let r(s) be the first derivative of 7*s**4/18 - 5*s**3/9 - 2*s**2/3 - 2*s - 3. Let j(l) be the first derivative of r(l). Let j(t) = 0. What is t?
-2/7, 1
Let g(a) be the second derivative of 0*a**2 - 2*a + 0*a**4 + 0*a**3 - 1/15*a**6 + 0 + 1/35*a**5. Factor g(d).
-2*d**3*(7*d - 2)/7
Suppose 12 = -1276*k + 1280*k. Factor 0*n**2 + 2/3*n**k + 4/3 - 2*n.
2*(n - 1)**2*(n + 2)/3
Let i(f) = 3*f + 18. Let l be i(-5). Let v(a) be the first derivative of -2/3*a**l + a**2 + 4*a - 1. Factor v(b).
-2*(b - 2)*(b + 1)
Solve s**2 + 0*s**2 - 6*s**2 + 3*s + 2*s**2 = 0 for s.
0, 1
Let z = 36 + -33. Find d, given that -2*d**z + 4/5*d**2 - 4/5 + 2*d = 0.
-1, 2/5, 1
Let a = 6 + -4. Suppose -b**a + 4 + 0 - 3 = 0. Calculate b.
-1, 1
Suppose 16*c - 8 = 8*c. Determine q, given that -1/2*q**3 - 5/2*q + c + 2*q**2 = 0.
1, 2
Let h = 9 - 5. Let z = 38 + -35. Determine x so that 3*x**h + 0*x**5 + 3*x**5 - 2*x**4 - 4*x**5 + x**z - x**2 = 0.
-1, 0, 1
Suppose 4*s - 4 = -y, -4*s - 12 = -3*y + s. Let h be (-20)/(-90) - y/18. Factor 2/5*j + h + 4/5*j**2.
2*j*(2*j + 1)/5
Let b(k) = k**2 - 2*k - 5 | {
"pile_set_name": "DM Mathematics"
} |
the greatest common factor of 180 and 145620.
180
What is the highest common factor of 7524896 and 226?
226
Calculate the highest common factor of 302202 and 163.
163
Calculate the highest common factor of 17081 and 155.
31
What is the highest common factor of 2294 and 1036?
74
Calculate the greatest common divisor of 285290 and 2162.
94
Calculate the greatest common divisor of 7370 and 25135.
55
What is the greatest common factor of 486 and 1008?
18
What is the highest common divisor of 1809617 and 41?
41
Calculate the greatest common divisor of 40383 and 441.
63
Calculate the highest common divisor of 468639 and 54.
27
Calculate the highest common factor of 465 and 3565.
155
What is the highest common factor of 130835 and 955?
955
What is the highest common divisor of 612 and 1341?
9
What is the greatest common factor of 845 and 177619?
169
What is the greatest common divisor of 359 and 13283?
359
Calculate the highest common divisor of 61346 and 2368.
74
What is the highest common factor of 5 and 62735?
5
Calculate the highest common factor of 885 and 2168781.
177
What is the greatest common factor of 14 and 134099?
7
Calculate the greatest common divisor of 278 and 1506482.
278
Calculate the greatest common factor of 256 and 228752.
16
Calculate the greatest common factor of 15213 and 875439.
1383
Calculate the greatest common divisor of 390 and 314418.
78
Calculate the highest common factor of 1649 and 2231.
97
What is the greatest common divisor of 672 and 38724?
84
Calculate the highest common divisor of 1691 and 1159.
19
What is the greatest common divisor of 71391 and 5724?
159
Calculate the greatest common factor of 3748 and 92.
4
What is the highest common factor of 91 and 94003?
91
What is the highest common divisor of 35 and 137291?
7
Calculate the greatest common divisor of 2144264 and 8.
8
What is the greatest common divisor of 13881 and 33054?
21
What is the greatest common factor of 11116 and 28?
28
What is the greatest common divisor of 126 and 14278698?
126
Calculate the greatest common divisor of 250285 and 140.
35
What is the highest common divisor of 76 and 7714?
38
Calculate the greatest common factor of 48 and 85992.
24
What is the greatest common divisor of 192 and 1542?
6
What is the greatest common factor of 2017616 and 752?
752
Calculate the highest common factor of 4 and 271226.
2
What is the greatest common factor of 46905 and 72345?
795
Calculate the highest common divisor of 520 and 16913.
13
What is the highest common factor of 77 and 4697?
77
What is the greatest common divisor of 21 and 24438351?
21
Calculate the greatest common divisor of 7 and 121919.
7
Calculate the greatest common factor of 3500 and 8680.
140
Calculate the highest common factor of 562604 and 1491.
497
Calculate the greatest common divisor of 273 and 2492.
7
Calculate the greatest common factor of 1270 and 413512.
254
What is the greatest common factor of 84 and 40257?
21
Calculate the highest common factor of 1390 and 3910.
10
Calculate the highest common factor of 277074 and 378.
378
What is the highest common factor of 724265 and 5?
5
What is the greatest common factor of 520 and 724048?
104
Calculate the highest common factor of 455 and 42887.
13
Calculate the greatest common divisor of 2844 and 10416.
12
What is the greatest common divisor of 1712 and 81824?
16
Calculate the highest common factor of 27686 and 436.
218
Calculate the highest common factor of 275544 and 2225.
89
Calculate the highest common factor of 10383160 and 696.
232
What is the greatest common factor of 22955 and 30?
5
Calculate the highest common factor of 23 and 305003.
23
Calculate the greatest common divisor of 980786 and 2.
2
What is the greatest common factor of 449205 and 105?
15
What is the highest common divisor of 48 and 430788?
12
What is the highest common divisor of 763068 and 12?
12
What is the greatest common divisor of 2059989 and 582?
291
What is the greatest common factor of 177 and 5033172?
177
Calculate the highest common divisor of 134344 and 56.
56
Calculate the highest common divisor of 16 and 28456.
8
Calculate the greatest common factor of 418741 and 152.
19
What is the greatest common factor of 113940 and 27?
27
Calculate the greatest common divisor of 63720 and 177.
177
What is the highest common divisor of 4599 and 30879?
657
What is the greatest common divisor of 128 and 665536?
64
What is the highest common factor of 133759 and 181?
181
Calculate the greatest common factor of 9300 and 2850.
150
What is the highest common factor of 651 and 5487?
93
Calculate the greatest common factor of 26 and 51597.
13
What is the highest common factor of 189 and 15309?
189
Calculate the highest common factor of 3584 and 49.
7
Calculate the greatest common factor of 12285 and 7245.
315
What is the highest common factor of 68549 and 1313?
13
Calculate the greatest common factor of 106817 and 669.
223
What is the greatest common divisor of 152832 and 5970?
1194
What is the greatest common divisor of 75 and 4605?
15
What is the greatest common factor of 100765 and 35?
35
Calculate the greatest common divisor of 547922 and 1.
1
What is the highest common factor of 588367 and 13?
13
What is the greatest common factor of 1487156 and 8030?
1606
What is the highest common factor of 1053 and 158548?
13
What is the highest common divisor of 58284 and 72?
36
What is the highest common factor of 305993 and 157?
157
Calculate the greatest common factor of 9280 and 19520.
320
Calculate the highest common factor of 270 and 78310.
10
What is the greatest common divisor of 665 and 2555?
35
What is the greatest common factor of 29735 and 125?
5
Calculate the highest common factor of 336 and 2828.
28
Calculate the highest common factor of 118205 and 235.
235
Calculate the highest common factor of 6 and 34774.
2
Calculate the highest common factor of 395 and 54895.
5
What is the greatest common divisor of 808 and 1324918?
202
What is the highest common divisor of 480 and 11680?
160
Calculate the highest common divisor of 3105 and 11745.
135
Calculate the highest common factor of 5779368 and 112.
56
Calculate the greatest common factor of 395 and 6055.
5
Calculate the greatest common factor of 1311134 and 61.
61
Calculate the greatest common factor of 56 and 189800.
8
Calculate the highest common factor of 4856 and 13961.
607
What is the greatest common divisor of 26964 and 321?
321
What is the greatest common factor of 528 and 9584?
16
What is the highest common factor of 66 and 1804?
22
Calculate the highest common factor of 7335 and 898782.
489
What is the greatest common divisor of 39220 and 51430?
370
What is the greatest common factor of 11183 and 2743?
211
Calculate the greatest common factor of 13813554 and 51.
51
Calculate the greatest common factor of 19 and 8347.
1
What is the highest common factor of 112 and 324296?
56
Calculate the highest common divisor of 37856 and 50362.
338
What is the greatest common factor of 408 and 186184?
136
What is the greatest common divisor of 930 and 1984?
62
Calculate the highest common divisor of 96 and 1087248.
48
Calculate the highest common factor of 972 and 372.
12
What is the greatest common factor of 1139 and 6097?
67
Calculate the highest common factor of 15453 and 1581.
51
Calculate the greatest common divisor of 4424 and 8936.
8
What is the highest common divisor of 108 and 4170978?
18
What is the greatest common factor of 6507 and 3753?
27
Calculate the highest common divisor of 40968 and 600.
24
Calculate the highest common factor of 9802 and 1378.
26
What is the greatest common divisor of 1458 and 3042?
18
Calculate the greatest common factor of 585 and 9368190.
585
Calculate the highest common divisor of 148 and 39775.
37
What is the highest common divisor of 1534 and 156?
26
What is the highest common factor of 42 and 30618?
42
Calculate the highest common factor of 2096696 and 64.
8
What is the greatest common divisor of 18550 and 16975?
175
Calculate the greatest common factor of 180 and 676800.
180
Calculate the greatest common divisor of 380 and 12480.
20
What is the highest common factor of 20739 and 263586?
669
Calculate the highest common divisor of 472 and 1996.
4
What is the highest common divisor | {
"pile_set_name": "DM Mathematics"
} |
units digit of 5575584/1071 + (-8)/(-204)?
6
Suppose -15 = 9*s - 12*s. Let v be (-1)/(s/(-2165) + 0). Let x = 662 - v. What is the tens digit of x?
2
Let l(z) = z**2 - 11*z - 21. Suppose 33 = -4*p + 29. Let y(m) = -15*m + 2. Let c be y(p). What is the tens digit of l(c)?
8
Suppose 4*z - 530 = -34. Suppose -776 = -4*i - z. Let c = 245 - i. What is the tens digit of c?
8
Let o(x) = -3*x - 10*x + 5 + 3 - 2*x**2 + 1. Let t be o(-7). Suppose 0 = -l + 27 + t. What is the tens digit of l?
2
Suppose 0 = -25*y + 20*y + 25. Suppose -3*d - 35 = -4*f + 14, -35 = -5*f - y*d. What is the units digit of f?
0
Let l(v) be the third derivative of 19*v**2 + 7/60*v**5 + 0 - 8/3*v**3 + 0*v + 1/8*v**4 - 1/120*v**6. What is the units digit of l(6)?
8
Suppose -16*m - 19*m = -4760. What is the tens digit of 123/(-82)*(-2 - (m - -2))?
1
Let l(f) = -f + 1. Let s(v) = -4*v + 407 + 12*v - 423. Let b(m) = 2*l(m) + s(m). What is the tens digit of b(11)?
5
Let y = -52 - -57. Suppose y*t - 35 = -10. Suppose -75 = -2*i - 3*a, 268 - 43 = 5*i - t*a. What is the tens digit of i?
4
What is the hundreds digit of ((-32)/120 - 4/(-6))/((-14)/(-529340))?
1
Let k(l) = -l**3 + 12*l**2 + 8*l - 16. Let v(m) = -m + 6. Let u(w) = -5*w + 39. Let f be u(9). Let j be v(f). What is the tens digit of k(j)?
8
Let z(r) = r**2 + 23*r + 2. Suppose 3*s = -5*n + 39, 4*n = -0*s - s + 27. Suppose n + 63 = -3*g. What is the units digit of z(g)?
2
Let u be (-440)/8 + -3 + 6. Let g = u - -83. What is the tens digit of g?
3
Let q(n) = 4*n + 20. Let o(u) = -21. Let d(h) = -6*o(h) - 5*q(h). What is the hundreds digit of d(-4)?
1
Let o(f) = -f**2 - 2*f. Let a(p) = 2*p**2 - 17*p + 14. Let j(s) = a(s) + o(s). What is the units digit of j(23)?
6
Let d be (-3 - -1)*-4 - 0. Suppose 7*y = d*y - 5. Suppose 134 = -y*j + 7*j. What is the units digit of j?
7
Suppose 20*g - 17167 - 17473 = 0. Suppose -g = 202*s - 206*s. What is the units digit of s?
3
Let k = 557 + 5962. What is the hundreds digit of k?
5
Let v = -291 + 36. Let u = v - -609. What is the tens digit of u?
5
Let y be -4*(-3210)/24*2/(-10). Let o = y + 158. What is the units digit of (o*(-1)/2)/((-7)/84)?
6
Let w(o) = -6*o**3 - 18*o**2 + 134*o - 745. What is the thousands digit of w(-23)?
9
Let t(q) = -15*q. Let m be t(-1). Suppose 43*n + 2068 = 4*b + 47*n, 0 = 4*n + 12. What is the units digit of 36/m*b/12?
4
Let w(c) = 14*c + 21. Let o be w(2). Let a = 49 - o. Suppose -3*t + 377 + 283 = a. What is the units digit of t?
0
Let z(u) = -u**3 - 14*u**2 - 22*u + 23. Suppose -3*b - j = 4 + 37, -4*b = -4*j + 28. Let a be z(b). What is the units digit of ((-1)/a)/(-6 + 7)?
1
Suppose 3*f = -2*o - 8, -2*o + 3*f = o - 18. Suppose 2*b - 3*y = -6*y + 20, 4*b - 8 = o*y. Suppose z - 90 = b. What is the units digit of z?
4
Suppose -60*a + 66*a - 9780 = 0. Let h = 2952 - a. What is the thousands digit of h?
1
Suppose -c + 35*c - 5*c = 112317. What is the thousands digit of c?
3
What is the tens digit of (-21 - 358428/(-10)) + (-12)/(-10)?
2
Suppose -27 = -r - 29, p = 2*r + 18676. What is the thousands digit of p?
8
Suppose 0 = -5*a + 17*a. Suppose a = -12*m - 4*m + 3680. What is the tens digit of m?
3
Let i = -354 - -389. What is the units digit of i/(-8 + (-121)/(-15))?
5
Let x = -85 - -416. Suppose -2*i + x + 277 = 0. Suppose g - 385 = -4*l + 5, 3*l = 5*g + i. What is the tens digit of l?
9
Suppose 3*h + 63025 + 10727 = 3*b, -6*b + 2*h + 147508 = 0. What is the ten thousands digit of b?
2
Let h(y) = y**3 + 54*y**2 + 12*y + 40. Let w be h(-22). Suppose 112*m = 103*m + w. What is the tens digit of m?
9
Suppose 4*y - 346 = -5*k, -4*k + 72 = 3*y - 188. What is the units digit of 12598/21 + 8/y?
0
Let r = 19 + -29. Let h be (30 - 15)*r/(-3). Suppose -2*p = -4*j + h, 2*p = 3*j - 0*j - 38. What is the tens digit of j?
1
Let y = -3460 + 6474. What is the thousands digit of y?
3
Let c(t) = t**3 - 5*t**2 - 35*t - 4. Let r be c(9). What is the hundreds digit of ((-524)/(-20) - 5)*r?
1
Let v = 8425 - -1740. What is the hundreds digit of v?
1
Let a(x) = x**3 + 38*x**2 - 10*x + 74. Let z(c) = -c**3 - 7*c**2 + 6*c + 4. Let r be z(-7). What is the hundreds digit of a(r)?
4
Suppose 0 = -22*o - 29510 + 412728. What is the ten thousands digit of o?
1
Suppose 2*h - 7021 = -5*h. Let b = h + -660. What is the hundreds digit of b?
3
Let r(k) = k**2 + 13*k - 17. Let a(i) = 1. Let w(p) = -5*a(p) - r(p). Let x be w(-14). What is the tens digit of (-170)/x - 3/1?
8
Suppose -6 = 3*m, -2*l + 2*m - 3*m = -22. Let c be (-3)/l*-1*12. Suppose -4*z = -2*t - 400, -c*t = z + 11 - 125. What is the tens digit of z?
0
Suppose 7*s - 16 = 3*s. Suppose -s*p = -0 - 12. Suppose 0 = -p*i + 76 + 65. What is the tens digit of i?
4
What is the hundreds digit of (-109780)/(-6) - 144/216?
2
Let t(x) = 289*x**3 + 2*x**2 - 5*x - 4. Let v be t(-1). Let a = 512 + v. What is the hundreds digit of a?
2
Let z be (-2)/(-2) + -209 + -18. Let k = 386 + z. What is the hundreds digit of k?
1
Suppose -12 = -2*k - 6. Let h be 130/(-3) - (-1)/k. Let z = 72 + h. What is the tens digit of z?
2
Let t = 1085 - 1031. Suppose 55*w + 4932 = 3*o + t*w, 0 = 5*o - 3*w - 8216. What is the units digit of o?
5
Suppose -3*r + 1322 + 20034 + 12364 = 0. What is the units digit of r?
0
What is the thousands digit of ((-20862)/(-152))/(33/704)?
2
Let c(f) = -8*f**2 - 18*f - 1. Let r(x) = -3*x**2 - 6*x - 1. Let p(b) = 2*c(b) - 7*r(b). What is the units digit of p(-5)?
0
Let w = -16335 - -17669. What is the units digit of w?
4
Suppose 6 = 5*w - 2*w + 5*n, 4*w - 4*n - 8 = 0. Suppose 0 = -5*a - 10, 9 = 2*p - w*a - 5. Let j(f) = 2*f**2 + 2*f - 6. What is the tens digit of j(p)?
5
Suppose 5*j - 5785 = 2*f - 38573, -3*f + 2*j = -49160. What is the hundreds digit of f?
3
Let j = -9299 + 67717. What is the units digit of j?
8
Let d be (1 - -20)*(-3 + 35/15). Let h = 19 + d. Suppose 0 = 3*g - 4*x - 166, 2*x - h*x + 88 = 2*g. What is the units digit of g?
0
Suppose 12*p - 294 = 6*p. Suppose -4*d - 52 = 2*g, d - 9 = 5*g - 0*g. Let l = p + d. What is the units digit of l?
8
Let v = -469 - -547. Suppose 55*m - v*m + 30774 = 0. What is the tens digit of m?
3
Let p(t) = -t**3 - 14*t**2 + 14*t - 13. Let q be p(-15). Let w(d) = 5*d - 3. Let r be w(q). Suppose -44 - r = -3*b. What is the tens digit of b?
1
Let k(n) = n**3 - n**2 - 3*n - 1. Let h be k(3). Suppose 0 = -22*g + h*g + 6342. What is the tens digit of g?
5
Let n be (-357)/14*(-20)/3. Let j(m) = 4 + n*m - 168*m - 2*m**2 + 0 + 10*m**3. What is the units digit of j(2)?
0
Suppose 2*m - 335456 = -19*m - 11*m. What is the units digit of m?
3
Let h be (-17992)/(-117) - (0 + (-2)/9). Let z = 264 - h. What is the tens digit of z?
1
Suppose -470907 = 360*c - 467*c. What is the tens digit of c?
0
Let t = 242 - 274. What is the hundreds digit of 3/(-24) + (-14756)/t?
4
Let i = -17 + 21. Suppose 3*b + i*s - 29 = 0, -16 = -b - 3*s + 2. Suppose 3*q - 270 = 3*j, -b*j - j - 93 = -q. What is the tens digit of q?
8
Suppose 4*s = 2*t + 24, 23 = -3*t + 3*s - 4. Let i = t - 7. What is the units digit of (-6)/(-2) - (i - -13)?
3
Let g(a) = -79*a - 134. What is the units digit of g(-47)?
9
Suppose -35*j + 282235 + 4011 + 347884 = 0. What is the thousands digit of j?
8
Suppose -3*s = 3*o - 0*s - 3, o - 7 = 2*s. Let b(t) = 28*t**3 + t**2 - t. Let x be b(1). Suppose -q + x = o*q. What is the units digit of q?
7
Suppose 4863672 = -13*t + 85*t. What is the thousands digit of t?
7
Let j be (1 - 259)/((-29)/(5481/18)). Let q = j - 908. What is the units digit of q?
1
Let h be 15/(-6) - 46*3/(-12). Suppose -2*a + 891 = -3*b, -2239 = h*a - 14*a - 4*b. What is the tens digit of a?
4
Let n(d) = 59642*d**2 + 37*d - 46. What is the ten thousands digit of n(1)?
5
Let o(f) = 3*f + 14. Let j be o(-13). Let c = j - -25. Suppose -4*n + n + 87 = c. What is the tens digit of n?
2
Suppose s = -2*s + 21. Let v(g) = 125*g + 122*g - 365*g + 14 + 120*g + 2*g**2. What is the units digit of v(s)?
6
Let o(z) be the first derivative of 2*z**3 - 3*z**2 + 6*z + 5. Let b = 767 - 761. What is the hundreds digit of o(b)?
1
Let i = 10930 + 84628. Suppose 572 - i = -54*d. What is the units digit of d?
9
Let l be (-88)/(-16)*(-2)/1. Let q be l + 11 + 4/2. Suppose -43 = -q*n + 3*i - 8*i, -2*n = -i - 73. What is the units digit of n?
4
Suppose -5*q = y + 422 - 6358, 4* | {
"pile_set_name": "DM Mathematics"
} |
+ 6. Let k(d) = 9*d + 5. Let z(r) = -6*k(r) + 5*y(r). Give n(z(g)).
6*g
Let f(z) = z. Let w(u) = 14*u. Let r(c) = c. Let s(t) = 42*r(t) - 2*w(t). Determine f(s(a)).
14*a
Let a(z) = -z. Let v be 1*1*(-3 + 3). Suppose -d + 4*d = v. Let w(k) = d*k**2 - 4*k**2 + k**2. Give w(a(m)).
-3*m**2
Let g(q) = -69*q**2. Let f(d) = 5*d. Give g(f(u)).
-1725*u**2
Let b(o) = -62*o + 17*o**2 + 62*o. Let g(x) = x. Determine b(g(a)).
17*a**2
Let y(u) = u. Let l(t) = -5*t. Let f(d) = l(d) + 2*y(d). Let n(b) = -4*b**2 + 5. Let m(o) = 3*o**2 - 4. Let h(x) = 5*m(x) + 4*n(x). What is h(f(z))?
-9*z**2
Let f(z) be the first derivative of -5*z**2/2 + 1. Let w(i) be the third derivative of 0*i + 11*i**2 + 0*i**3 + 0 + 0*i**4 - 1/60*i**5. Give w(f(b)).
-25*b**2
Let z(j) be the third derivative of -j**4/12 + 8*j**2. Let t(y) be the first derivative of -4*y**2 + 2 + 4*y**2 + y**3. What is t(z(u))?
12*u**2
Let o(i) = i. Let u(t) = 103*t**2 + 2. Calculate o(u(s)).
103*s**2 + 2
Let m(d) = 5*d - 2*d - d. Let x(u) = -5*u**2 + 3*u**2 - 3*u**2 + 3*u**2. Give m(x(i)).
-4*i**2
Let o(d) = d + 4*d - 9*d + 5*d. Let f(w) = 1. Let q(t) = t + 5. Let a(j) = -5*f(j) + q(j). Give o(a(l)).
l
Let g(n) = 16*n. Suppose -15 = 3*d + 6. Let i = d - -5. Let s(f) = 3*f. Let o(h) = i*g(h) + 11*s(h). Let v(j) = -j. What is o(v(l))?
-l
Let r(x) = 5902*x**2. Let j(t) = -2*t. Calculate r(j(f)).
23608*f**2
Let w = 4 + -2. Let n(p) = -w*p**2 + 1 - 5 + 4. Let u(d) = -2*d**2. Determine n(u(y)).
-8*y**4
Let g(s) = s**2. Let i(t) = -6*t**2 - 9 + 9. Give i(g(p)).
-6*p**4
Let m(d) be the second derivative of d**4/6 + 3*d. Let g(w) = -2*w**2 + 3*w. Let y(f) = -f**2 + 2*f. Let z(t) = 2*g(t) - 3*y(t). Determine m(z(h)).
2*h**4
Let g(t) = 10*t + 7*t - 14*t. Let v(y) be the second derivative of y**3/3 - 2*y. Determine g(v(i)).
6*i
Let k(d) be the first derivative of d**2/2 - 3. Let s(h) = -h**2 - 3*h - 3. Let y(b) = -b**2 - 4*b - 4. Let j(r) = -4*s(r) + 3*y(r). Give k(j(f)).
f**2
Let b(v) = 185*v. Let h(s) = -13*s. Determine h(b(k)).
-2405*k
Let d(r) = -r. Let s = 4 + -8. Let v = s + 7. Let p(b) = -b + v*b - b. What is d(p(f))?
-f
Let u(k) = 2*k**2 + 508. Let l(v) = 2*v**2. What is u(l(q))?
8*q**4 + 508
Let w(i) = -2*i. Let o(h) be the third derivative of 5*h**4/8 - 30*h**2. Calculate o(w(b)).
-30*b
Let l(w) = -2*w. Let s be (-2)/(-8) + (-21)/(-12). Suppose 0 = -d + 5*v + 32, 5*d + v = -s*v + 20. Let r(z) = -d*z + 2*z + 4*z. What is l(r(q))?
2*q
Let o(h) = -2*h. Let k(m) = -4*m - 3. Let d(y) = 5*y + 4. Let i(l) = -l**2 - 2*l - 3. Let q be i(-2). Let a(z) = q*d(z) - 4*k(z). What is a(o(f))?
-2*f
Let o(p) = 2*p**2. Let z(v) be the second derivative of -65*v**4/12 + 23*v. Determine z(o(l)).
-260*l**4
Let k(n) = -2*n - 1. Let x(q) = 14*q**2. What is k(x(d))?
-28*d**2 - 1
Let k(h) = -h. Let j(q) = 2*q**2 + 4*q**2 + 0*q**2 - 3*q**2. What is k(j(b))?
-3*b**2
Let v(z) = 8*z**2 - 7. Let h(u) = 7*u**2 - 6. Let y(k) = -7*h(k) + 6*v(k). Let x(d) = 7*d**2. What is y(x(f))?
-49*f**4
Let a(z) be the first derivative of z**2 + 5. Let q = 6 + -4. Let r(g) = 3*g**2 - 4*g**2 + 0*g**q. Calculate r(a(u)).
-4*u**2
Let b(p) be the first derivative of 5*p**3/3 - 2. Let x(i) = i. Give b(x(v)).
5*v**2
Let j(b) = -12*b**2 - 23. Let f(y) = y**2. Calculate f(j(i)).
144*i**4 + 552*i**2 + 529
Let f(r) = r**2 + r - 6. Let w(t) = 2*t. Calculate f(w(c)).
4*c**2 + 2*c - 6
Let z(a) = 16*a + 104. Let p(o) = -2*o**2. Calculate p(z(r)).
-512*r**2 - 6656*r - 21632
Let d(c) be the third derivative of 0*c + 3*c**2 + 0 + 0*c**4 + 0*c**3 - 1/30*c**5. Let b(w) = -4*w. Calculate b(d(a)).
8*a**2
Let c(z) = 1152*z. Let y(g) = -3*g. Give y(c(x)).
-3456*x
Let q(z) = 4*z**2 + 10*z**2 - 16*z**2. Let v(m) be the second derivative of -m**3/3 + m. Determine q(v(o)).
-8*o**2
Let i(s) = -2*s. Let w(f) = f. Let n(x) = -4*x. Let u(v) = 2*n(v) + 6*w(v). Calculate u(i(d)).
4*d
Let b(n) = 9*n + 4. Let v(w) = -1. Let i(p) = -b(p) - 4*v(p). Let r(a) = -12*a - 10. Let d(c) = 5*c + 4. Let f(k) = 5*d(k) + 2*r(k). What is i(f(q))?
-9*q
Let d(b) = 2*b. Let u(v) be the first derivative of 1/40*v**5 + 1 + 0*v**2 + 0*v + 0*v**4 - 2/3*v**3. Let t(l) be the third derivative of u(l). Give d(t(a)).
6*a
Let p(d) = 47*d**2. Let n(f) = -f. Let k(h) = -h. Let y(a) = -3*k(a) + 2*n(a). Give p(y(j)).
47*j**2
Let b(u) = -5*u - 3. Let i(o) = -4*o - 2. Suppose 4*j - 2*w = 4, 20 = -j + 5*w + 3. Let f(d) = j*i(d) - 2*b(d). Let h(l) = -3*l**2. Calculate h(f(c)).
-12*c**2
Let p(d) be the first derivative of -5*d**3/3 - 6. Let y(h) = 3*h. What is y(p(i))?
-15*i**2
Suppose -4 = -3*q - q. Let k(t) = t. Suppose 2*b + 4 = 0, 0*p - p + 4*b = 4. Let s(m) = 10*m. Let i(c) = p*k(c) + q*s(c). Let y(x) = x. Give y(i(j)).
-2*j
Let n(y) be the third derivative of 0*y**3 + 7*y**2 + 0 - 1/12*y**4 + 0*y. Let j(h) = -11*h. Calculate j(n(s)).
22*s
Let j(w) = 14*w. Let x(u) = 5*u. Give x(j(i)).
70*i
Let l(j) = 2*j. Let c(t) be the third derivative of t**5/30 - 8*t**2. What is l(c(i))?
4*i**2
Let o(n) = 17*n - 3. Let w(q) = q. What is w(o(z))?
17*z - 3
Let f(y) = -45*y. Let p(a) = 4*a + 4. Give p(f(s)).
-180*s + 4
Suppose 0 = y - 2 - 3. Suppose -3*j + 0*j + 12 = -y*v, 0 = -5*v - 4*j + 16. Let p(l) = 3*l - 5*l + l + v*l. Let u(k) = -3*k. Calculate p(u(n)).
3*n
Let g(z) = -2*z**2 + 35*z**2 + 464*z - 464*z. Let u(k) = 2*k. Give u(g(l)).
66*l**2
Let v(t) = 6*t. Let b(p) = 24*p. Calculate v(b(o)).
144*o
Let k(h) be the first derivative of -5*h**3/3 - 1. Suppose 4*a - 8 = 5*i, -3*a + 7 - 1 = 4*i. Let o(t) = a*t - 10 + 10. Calculate o(k(f)).
-10*f**2
Let p(d) = -39*d**2 - d. Let j(c) = -c**2. Calculate p(j(m)).
-39*m**4 + m**2
Let d(f) = f. Let v(m) be the third derivative of m**5/30 - 11*m**2. Determine d(v(b)).
2*b**2
Let y(c) = 2*c**2 - 2*c**2 - c**2. Let h(f) = -12*f**2. What is h(y(o))?
-12*o**4
Let x(r) = 6*r**2 - 14*r**2 + 7*r**2. Let f(z) = 3*z + 2. Let s(v) = -2*v. Let j be s(1). Let y(h) = 10*h + 7. Let u(c) = j*y(c) + 7*f(c). Determine u(x(b)).
-b**2
Let h(a) = -3*a. Let m(k) = k**2. Determine h(m(y)).
-3*y**2
Let u(c) be the second derivative of c**4/12 - c. Let g(p) = -p**2 + 4*p + 4. Let b(m) = 2*m**2 - 7*m - 7. Let v(f) = 4*b(f) + 7*g(f). Give v(u(t)).
t**4
Let d(j) = 3*j. Let u(q) = 1189*q**2 + 145*q + 145. Let h(x) = -33*x**2 - 4*x - 4. Let v(g) = 145*h(g) + 4*u(g). Give d(v(o)).
-87*o**2
Let i(x) = -x**2 - 3. Let r(b) = -b**2 - 58*b. Calculate r(i(f)).
-f**4 + 52*f**2 + 165
Let l(r) = 3*r. Let i(m) = -m - 1. Let b(k) = -4 - 4*k - 2 + 4 - 1. Let f be 2*2*(-6)/8. Let x(d) = f*i(d) + b(d). Calculate l(x(s)).
-3*s
Let z(t) = 882*t. Let y(o) = 3*o. Give y(z(u)).
2646*u
Let l(t) = 3*t**2. Let h(p) = -9*p - 3. Let s(u) = -9*u - 4. Let w(y) = 4*h(y) - 3*s(y). Calculate w(l(z)).
-27*z**2
Let t(h) = -h. Let k(b) = -2 - 16*b**2 + 0 + 2. Determine k(t(j)).
-16*j**2
Let p(c) be the third derivative of -c**8/20160 + c**5/30 - c**2. Let m(k) be the third derivative of p(k). Let r(b) = -9*b**2. What is m(r(u))?
-81*u**4
Let j(z) = -3*z**2. Let q(y) be the third derivative of y**4/4 - 6*y**2. Determine j(q(m)).
-108*m**2
Let o(p) be the third derivative of -7*p**4/24 + p**3/6 - 15*p**2. Let z(j) = 2*j**2. What is z(o(y))?
98*y**2 - 28*y + 2
Let y(q) = -12*q**2. Let i(j) = -j. Let o(u) = u. Let b(h) = i(h) + 3*o(h). Determine y(b(w)).
-48*w**2
Let f = -33 - -53. Let i(b) = 20 - f - b. Let z(y) = 6*y**2. What is i(z(l))?
-6*l**2
Let s(m) = -150*m**2 + 25*m + 25. Let p(u) = 2*u**2 - u - 1. Let k(i) = -25*p(i) - s(i). Let b(f) = -2*f**2. Determine b(k(z)).
-20000*z**4
Let k(l) = -45 - 40 + l + 85. Let h(s) = -15*s**2. What is h(k(q))?
-15*q**2
Let o(g) = g. Suppose 3*u = -0*u + 24. Suppose -9*d = -u*d. Let x(s) = -4*s + d - 4 + 4. Calculate o(x(w)).
-4*w
Let m(l) = -3*l**2. Let b be 0 + 6 + -1 + 0. Let z(w) = -6*w + 8. Let h(y) = 4*y - 5. Let t(n) = b*z(n) + 8*h(n). Calculate m(t(r)).
-12*r**2
Let h(t) = 5*t**2 - t**2 - 2*t**2. Let z(b) = 7*b - b - 9*b. Determine z(h(l)).
-6*l**2
Let i(f) be the second derivative of 73*f**3/6 - f + 12. Let m(d) = 2*d**2. What is m(i(k))?
10658*k**2
Let h(l) = -9*l. Let f(n) = 3*n. Let z = 0 - -2. Suppose 22 = -z*b - 0. Let j(t) = b*f(t) - 4*h(t). Let m(x) = -2*x. What is m(j(v))?
-6*v
Let u(n) = -3*n**2 + 6. Let m(q) = -q**2. Calculate m(u(f)).
-9*f**4 + 36*f**2 - 36
Let u(f) = -f**3 - f**2 - f - 2. | {
"pile_set_name": "DM Mathematics"
} |
m(i) be the second derivative of -i**6/90 - 13*i**3/6 + 7*i. Let s(z) be the second derivative of m(z). Let r(j) = -5*j**2. Give r(s(t)).
-80*t**4
Let b(j) = -3*j. Let n(f) = -6*f + 171. Calculate n(b(p)).
18*p + 171
Let c(v) = v**2. Suppose 2 = n - 3*z + 11, 2*n + 3*z - 9 = 0. Suppose 2 + n = i. Let o(a) = 7*a + a + i - 2. What is o(c(u))?
8*u**2
Let q(p) = p + 2*p - 4*p. Let f(s) be the second derivative of -5*s**3/3 + 6*s - 6. Calculate q(f(i)).
10*i
Let j(b) = -2*b. Let m(u) = u - 1. Let z(y) = -4*y - 3. Let o(q) = -5*q - 2. Let v(s) = -4*o(s) + 3*z(s). Let l(p) = m(p) - v(p). Determine l(j(r)).
14*r
Let d(n) = 2*n**2. Let t(a) be the third derivative of -155*a**4/24 - a**3/6 - 44*a**2 + 1. Give d(t(f)).
48050*f**2 + 620*f + 2
Suppose -2*l - 7 = -3. Let b(k) = 10*k - 11. Let c(q) = 2*q - 2. Let t(y) = l*b(y) + 11*c(y). Let a(r) = -2*r - 2*r**2 + 2*r. What is a(t(n))?
-8*n**2
Let q(v) = 11*v**2. Let g(b) = 2*b - 5. Let m = 14 - 17. Let y(s) = s - 3. Let k(r) = m*g(r) + 5*y(r). What is k(q(z))?
-11*z**2
Let f(r) be the second derivative of -r**4/6 - 5*r. Let y(u) be the first derivative of -19*u**2/2 + 243. Determine y(f(z)).
38*z**2
Let g(l) be the first derivative of -2*l**3/3 + 3. Let a = 18 - 16. Let w(v) = -v - 53*v**2 + 62*v**a + v. Determine w(g(k)).
36*k**4
Let c = -8 - -11. Let o be (1 + (-2 - -2))*c. Let h(u) = -o*u + 0*u + 4*u. Let q(x) = 4*x. What is h(q(s))?
4*s
Let m(a) be the first derivative of -7*a**2/2 - 2. Let g(i) be the third derivative of -1/12*i**4 + 0*i**3 + 0*i + 0 + i**2. Calculate g(m(u)).
14*u
Let z = -1 - -9. Let q(m) = m**2 - z*m**2 + 3*m**2. Let s(p) = 2*p**2 + 2*p**2 + 0*p**2. Give q(s(k)).
-64*k**4
Let z(n) = 2*n. Let g(x) = -34*x - 26. Give z(g(b)).
-68*b - 52
Let p(b) = -1499*b + 2. Let f(n) = 947*n**2 - 1904*n**2 + 955*n**2. What is p(f(k))?
2998*k**2 + 2
Suppose -57 + 183 = 3*v - 3*c, -2*c = -10. Let g(a) = 24*a**2 + 24*a**2 - v*a**2. Let x(s) = 3*s + 2*s**2 - 3*s. Calculate g(x(r)).
4*r**4
Let y(s) = -3*s. Let z(i) be the second derivative of 5*i**4 + 117*i. Calculate y(z(w)).
-180*w**2
Let n(u) = 15*u. Let x(t) = 7*t. Let c(m) = -6*n(m) + 13*x(m). Let b(l) = 32*l**2. What is c(b(v))?
32*v**2
Let q(o) = 29*o. Let d(z) = -40554*z**2. Give q(d(c)).
-1176066*c**2
Let g(d) = d. Let j(f) = 23*f**2 + 4277*f. Determine j(g(r)).
23*r**2 + 4277*r
Let c(x) = -x**2. Let s(r) = -147*r + 244*r + 66*r. Give c(s(m)).
-26569*m**2
Suppose 0 = 9*b - 10*b + 14. Let d(c) = 3*c**2. Let p(m) = m**2. Let t(v) = b*p(v) - 6*d(v). Let h(a) = -a**2. Determine h(t(s)).
-16*s**4
Let d(g) = -g**3 - 5*g**2 + 7*g + 7. Let p be d(-6). Let n(i) be the first derivative of -15*i**2 - 3 + 5*i**2 - p - 6. Let y(s) = -s**2. Determine n(y(z)).
20*z**2
Let g(r) = 2*r. Let i(a) = -208*a**2 - 197*a**2 + 396*a**2. What is i(g(m))?
-36*m**2
Let y(n) = -50*n. Let k(r) = 2*r - 3. Let h = -174 - -179. Let z(i) = -3*i + 5. Let m(s) = h*k(s) + 3*z(s). Give y(m(f)).
-50*f
Let o(w) = -108*w**2. Let m(t) = 11*t + t**2 - 12*t + t. What is o(m(l))?
-108*l**4
Let s(l) = 7 + 7*l - 7 - 13*l. Let v(w) = 2*w**2 + 28. Give s(v(a)).
-12*a**2 - 168
Suppose -6*b = -5*b - 3. Let t(g) = -g - b*g - g. Let f(h) = -172*h + 510*h - 173*h - 167*h. Determine f(t(p)).
10*p
Let g(k) = 33*k**2 + 1. Let r(w) be the first derivative of 8*w**3/3 + 385. Give g(r(f)).
2112*f**4 + 1
Let u(m) = 1300*m - 45. Let n(t) = 433*t - 13. Let z(a) = -7*n(a) + 2*u(a). Let x(r) = r**2. Give x(z(v)).
185761*v**2 - 862*v + 1
Let w(i) = i. Let x(k) = -5*k + 4. Let s(f) = 5*f + 26. Let n be s(-6). Let a(y) = -11*y + 9. Let o(t) = n*a(t) + 9*x(t). Determine w(o(r)).
-r
Let d(y) = -6*y. Let z(r) = 2*r**2 + 184599 - 184599. Determine z(d(p)).
72*p**2
Let j(u) = -21460*u. Let i(c) = -2*c. Calculate i(j(s)).
42920*s
Let y(x) = 1 - 1 - 3*x. Let z(u) be the second derivative of 6*u**3 - 2*u - 86. Calculate y(z(p)).
-108*p
Let b(a) = 16*a. Let n(i) = 17811 - 17811 + 4*i**2. Determine n(b(o)).
1024*o**2
Let a(r) be the third derivative of r**5/10 - r**4/24 + 379*r**2. Let w(s) = -2*s**2. Determine w(a(t)).
-72*t**4 + 24*t**3 - 2*t**2
Let k(m) = -5*m. Let j(o) = o**2 + 2*o**3 + 2*o**2 + 3*o + 1 - 3 - 3*o**3. Let c be j(3). Let y(w) = -4*w**2 - w**2 + c*w**2. Determine y(k(s)).
50*s**2
Let z(t) be the first derivative of t**2/2 - 5. Let f(u) be the first derivative of -7*u**2/2 - 2. Calculate f(z(y)).
-7*y
Let g(c) = 12*c**2. Let h(t) = -66*t**2 + 8. Determine h(g(y)).
-9504*y**4 + 8
Let q(t) = -2*t. Let n(d) be the first derivative of 19 + 4*d**2 - 5*d**2 - 9*d - 5. Calculate n(q(g)).
4*g - 9
Let r(p) = 155*p**2. Let a(x) = -7*x**2. Give a(r(k)).
-168175*k**4
Let c(w) = -w. Let t(s) = 7*s + 70. Let k(q) = -q - 8. Let b(j) = -35*k(j) - 4*t(j). Determine b(c(n)).
-7*n
Suppose -4*w + 13 = 9. Let d(z) = -4*z - 3. Let f(s) = s + 1. Let g(x) = w*d(x) + 3*f(x). Let r(v) = -5*v**2. What is r(g(l))?
-5*l**2
Let p(u) = 20*u. Let f(y) be the second derivative of -y**5/60 - 3*y**2/2 - 8*y. Let l(i) be the first derivative of f(i). Give l(p(x)).
-400*x**2
Let a(l) = l**2. Let f = 21 - 20. Let j be -2 + 0 + 3 + f. Let y(w) = -5*w + 2. Let s(k) = -21*k + 9. Let t(v) = j*s(v) - 9*y(v). Calculate a(t(p)).
9*p**2
Let h(x) = -4*x - 23*x + 29*x. Let l(s) = -s**2 + 2*s. What is l(h(n))?
-4*n**2 + 4*n
Let w(s) = 125 - 125 - 3*s. Let b(j) be the second derivative of -j**3/6 + 19*j. Calculate w(b(m)).
3*m
Let w(f) be the third derivative of -f**7/2520 - f**5/30 - 11*f**2. Let z(p) be the third derivative of w(p). Let o(s) = 32*s**2. What is o(z(r))?
128*r**2
Let i(l) be the third derivative of 0 + 0*l**3 + 0*l + l**2 + 0*l**4 - 1/30*l**5. Let h(n) = -13 - 4*n + 13. Determine h(i(q)).
8*q**2
Let w(r) = 16*r**2 - 9*r + 9. Let t(n) = 4*n**2 - 2*n + 2. Let v = 1 - 3. Let g(d) = v*w(d) + 9*t(d). Let c(z) = -2*z. Determine c(g(h)).
-8*h**2
Let s(v) = -2*v**2. Let u(j) = 165635*j**2. What is s(u(b))?
-54869906450*b**4
Let q(k) = k**2 - 120*k + 120*k. Let x(u) = 252*u - 2. Determine q(x(s)).
63504*s**2 - 1008*s + 4
Let l(i) be the third derivative of i**5/30 + i**4/24 - 420*i**2. Let t(n) = -n**2. Calculate l(t(o)).
2*o**4 - o**2
Let u(q) = 0*q + q - 4*q. Let k(l) = 3*l + 4. Let c(d) = -8*d - 14. Let b(v) = -2*c(v) - 7*k(v). Calculate u(b(f)).
15*f
Let r(z) = -2*z**2 - 8*z. Let x(j) be the second derivative of -3*j**3/2 + 42*j + 1. Determine r(x(g)).
-162*g**2 + 72*g
Let l(x) = 4*x**2 - 5*x + 5. Let j(b) = -1. Let h(t) = t + 4. Let p(w) = h(w) + 5*j(w). Let f(c) = l(c) + 5*p(c). Let i(s) = 7*s. Calculate f(i(m)).
196*m**2
Let m(f) = -227*f**2. Let o(j) = -5402*j. What is m(o(t))?
-6624224108*t**2
Let k(v) = -v**2. Let l(n) = 23214*n. Determine l(k(g)).
-23214*g**2
Let y(o) be the third derivative of -11*o**4/12 + 4*o**2 + o. Let u(i) be the first derivative of i**3/3 - 4. Give y(u(p)).
-22*p**2
Let q(n) = -32941*n. Let w(g) = -4*g**2. Give q(w(d)).
131764*d**2
Let r(v) = 108*v. Let g(m) = -50*m + 22. Determine r(g(d)).
-5400*d + 2376
Let m(y) be the second derivative of y**6/180 + 11*y**3/6 - y. Let h(n) be the second derivative of m(n). Let a(j) = 4*j + 0*j - 5*j. Give h(a(i)).
2*i**2
Let t(o) = 10*o + 18*o - 5*o. Let v(w) be the third derivative of w**4/12 - 47*w**2 + 3*w. Determine t(v(n)).
46*n
Suppose 3*f - 14 = 7. Let x(z) = 3*z**2 - 4*z**2 + 3*z**2 - f*z**2. Let j(v) = -3*v**2. Give j(x(u)).
-75*u**4
Let q(g) = -485*g**2. Let t(l) = 1857*l. Calculate t(q(w)).
-900645*w**2
Let r(d) = 2*d**2. Let k be 1/((-1)/(-5) + 0). Let w(q) = -4 - k + 5 - q + 5. Let t(g) = -6*g**2 - 2*g + 2. Let f(s) = t(s) - 2*w(s). Give f(r(v)).
-24*v**4
Let i(k) = 3*k**2 - 5*k**2 + 4*k**2. Let l = -14 - -18. Let j(p) = l*p + 11*p - 16*p. Determine j(i(m)).
-2*m**2
Let x(z) = 1917*z + 21*z**2 - 1917*z. Let i(l) = -8 + 8 - 2*l. Calculate x(i(n)).
84*n**2
Let i(d) = -4*d. Let p(f) be the first derivative of 0*f + 9 + 3/2*f**2. Give p(i(z)).
-12*z
Suppose 5*o - 12 = -o. Let b(t) = 0*t**2 - 2*t**2 - 17*t**o - 6*t**2. Let m(z) = -2*z. Give b(m(k)).
-100*k**2
Let a(n) = -239*n**2 + 6. Let v(y) = -2*y**2 + 4. Let l(p) = a(p) - 2*v(p). Let o(w) = 3*w**2. What is l(o(b))?
-2115*b**4 - 2
Let s(z) be the first derivative of -4*z**3/3 - 27. Let a(d) = -9*d**2. Let t(w) = -4*w**2. Let f(h) = 6*a(h) - 13*t(h). Determine f(s(r)).
-32*r**4
Let o(b) = 12*b**2. Let h be 3/4 | {
"pile_set_name": "DM Mathematics"
} |
(-2)/4)?
-2/5
What is the value of (21/(6552/(-65)))/(-5)?
1/24
What is (-2*18/8)/((-78)/(-10556)*29)?
-21
What is the value of ((7425/(-924))/(-45))/(10/12)?
3/14
What is the value of -6*-1*5*(578/68)/(-17)?
-15
Calculate (-4620)/693*(-18)/(-10).
-12
What is ((-6)/11)/(3114/(-51381))?
9
(31/589)/((-18)/(-684))
2
(5/21)/(38/76*(-10)/(-18))
6/7
Calculate ((-3)/((-702)/8))/(1006/1509).
2/39
Calculate (1/(-1))/(-1)*1*14928/1866.
8
What is 3/12*(0/17)/(-13)?
0
What is the value of ((-420)/(-7))/4*8*(-6)/(-864)?
5/6
What is the value of 30/(-25)*(-180)/54?
4
(-784)/343*126/(-24)
12
What is (-16)/16*3/3*(-9)/(-180)?
-1/20
What is the value of (72/(-280)*7)/(-1*(-153)/(-30))?
6/17
Evaluate 2/48*(-1917)/3195.
-1/40
What is the value of (330/(-60))/(176/(-32))?
1
(-6)/4*(332/581)/(2/35)
-15
What is the value of (5/((-75)/(-9)))/(((-45066)/140)/(-37))?
2/29
Evaluate 35/(1890/144)*-6*5/4.
-20
Evaluate 2/(-42)*829/(-829).
1/21
Evaluate ((-2)/5)/((-2)/4*(-354)/(-295)).
2/3
(-1550)/(-93)*(-14)/(-10)*(-78)/91
-20
What is (490/420)/(3/(18/1))?
7
What is (((-4)/((-48)/15))/(-1))/(3/18)?
-15/2
What is the value of 2/9*(-9537)/578?
-11/3
((-875)/2625)/((5/(-69))/5)
23
4*20/24*(-13)/(1755/36)
-8/9
What is the value of -10*170/204*2*2/(-30)?
10/9
Evaluate 8/1*3*3/(-90).
-4/5
((-960)/(-3120))/((-2)/(-130))
20
((-4)/7)/((-72)/(-1260))
-10
1274/819*-1*(-21)/28
7/6
What is ((-324)/140)/9*(-440)/(-528)?
-3/14
What is the value of ((-1104)/(-460))/((-16)/60)?
-9
Evaluate (1*1/(-6))/((-116)/696).
1
Evaluate (-8)/(-36)*(-399)/532.
-1/6
(-4)/(-30)*(-135)/(-405)*27/(-2)
-3/5
Evaluate -2*-6*-6*(-9)/(-81).
-8
What is the value of (-2150)/215*3/(-2)?
15
What is 300/(-1075)*(-21)/(-126)?
-2/43
What is the value of 1*(-7*10/35)/(-2)?
1
24/4*102/3672
1/6
What is the value of 1/(-162)*9/((-27)/(-12))?
-2/81
(-4)/(-5)*(24/912)/(-1)
-2/95
What is 1/(-2)*12/150*-5?
1/5
What is the value of (((-432)/8)/(-6))/(12/(-16))?
-12
Calculate (8/4)/(((-3)/(-7))/((-6)/(-2))).
14
What is the value of (-33)/(-22)*((-3136)/(-21))/14?
16
Calculate 6*((-1)/(-75))/(1008/560).
2/45
What is 1232/(-64)*80/(-70)?
22
Calculate -11*1/((-528)/32).
2/3
What is (88/1056)/(4/(-16)*2)?
-1/6
Calculate 6*(-19)/((-1330)/245).
21
1*102*52/(-9360)*30
-17
What is the value of (105/84)/(315/(-216))?
-6/7
What is (24/(-10))/((-129)/215)?
4
What is ((-2)/(40/(-3)))/(-54*34/(-1224))?
1/10
Calculate 8/(-6)*23/((-92)/(-6)).
-2
What is the value of 16/3240*18*2*3/4?
2/15
Evaluate (-68)/85*(-50)/(-44)*(-6)/30.
2/11
What is (-10)/6*189/105?
-3
What is 243/9*(-90)/(-135)?
18
Calculate ((-1)/6)/(36/(-2430)*-15).
-3/4
What is (5/(-2))/((-685)/6850)?
25
What is 6/(-18)*((-18)/(-14))/((-26)/(-91))?
-3/2
What is 70/(-49)*(-63)/(-6)*38/(-57)?
10
Calculate (304/7904)/(1/(-2)).
-1/13
(((-8)/((-48)/9))/(-3))/(27/1566)
-29
What is ((-1)/((-36)/(-15)))/((-265)/(-106))?
-1/6
Evaluate (-418)/(-88)*8/(-2).
-19
Evaluate ((-750)/2625)/(1/35).
-10
((-8)/(-22))/(62/682)
4
Evaluate (4/(-6))/(((-15)/(-3))/45).
-6
(13/((-312)/3))/(-3*2/16)
1/3
What is ((-282)/(-752))/(9/6)?
1/4
Calculate 5385/718*6*2/(-9).
-10
Calculate 1/(-9)*243/(-54)*(-1)/8.
-1/16
Evaluate (18848/(-3344))/(2/(-11)).
31
Calculate (-8)/4*(48/(-128))/((-3)/44).
-11
What is (-1*2/39)/((-17)/(-204)*4)?
-2/13
What is 7/(-28)*6*(-8)/(-24)?
-1/2
Calculate (5230/(-1569))/(-8*3/(-6)).
-5/6
Calculate (-6)/(-26)*3136/(-672).
-14/13
(((-42)/153)/(-7))/(((-128)/(-24))/(-8))
-1/17
What is the value of -4*1*(2/7)/((-85)/85)?
8/7
Evaluate -14*18/(4788/(-95)).
5
(-2)/1*(123/410)/((-3)/(-5))
-1
Calculate (4/(-150)*-5)/((-23)/((-552)/48)).
1/15
Evaluate (3*(-7)/147)/((-8)/7).
1/8
Calculate (-5)/(-2)*8/4*-1.
-5
Calculate (((-1)/5)/1)/((-365)/(-12775)).
-7
8/(720/(-18))*15/(-2)
3/2
Calculate (-18)/15*(-335)/10251.
2/51
What is ((-4)/(-1168))/(68/544)?
2/73
What is 25/((-1575)/210*2/15)?
-25
What is ((-28)/140)/(3/6)?
-2/5
Evaluate 105/((-74025)/(-188))*(-2)/8.
-1/15
22/(13640/(-30))*44/(-33)
2/31
What is (55/55)/((-5)/(-65))?
13
What is 51/((-7140)/40)*-14?
4
7120/890*(-6)/(-2)
24
Calculate (24/(-48))/((-1)/(-6)*-1).
3
Calculate 23/(-299)*1755/(-15).
9
What is the value of (-16)/24*((-9)/(-60))/(35/28)?
-2/25
What is (1710/(-1197))/(5/(-14))?
4
(8/(-6))/(36*(-46)/(-45954))
-37
Evaluate (-28)/49*42/(-2232)*-6.
-2/31
Calculate (-78)/(-39)*((-2)/(-60))/(34/(-85)).
-1/6
What is ((-18)/4)/((-78)/(-3)*(-12)/(-32))?
-6/13
What is (3*(-2)/27)/(45/(1215/(-18)))?
1/3
What is (106/636)/((-2)/6)*78?
-39
What is the value of (-7)/8*(39/(-182))/(15/20)?
1/4
Evaluate ((-24)/(-16))/(1/2*15).
1/5
What is (-16)/12*(24/(-10))/((-28)/(-70))?
8
Calculate 245/1323*2/(-5).
-2/27
What is (-1*(-2)/(-16))/(533/(-166296))?
39
What is the value of ((-68)/10)/((8/(-14))/((-120)/(-84)))?
17
Calculate ((-5)/((-550)/4))/((-6)/90).
-6/11
What is ((-9)/11)/(8145/(-9050))?
10/11
(2/(-8))/(44/(-176))*0*1
0
What is the value of 6*(15/(-9))/(((-390)/20)/(-39))?
-20
(-27)/(-252)*2/(-3)*2
-1/7
What is ((-11170)/60318)/(10/(-18))?
1/3
1*(21/(-36))/7*(-54)/(-18)
-1/4
Evaluate ((-2)/(-176))/(1366/30052).
1/4
What is (-6*(-1)/(-4))/(-10*(-48)/160)?
-1/2
What is (154/(-231))/((-2)/(-12))?
-4
What is the value of ((-14)/10)/((-3)/(-15))?
-7
(((-9)/(-78))/(22/(-264)))/((-4)/52)
18
Evaluate (20/3)/(20/(-10))*(-186)/(-155).
-4
((-2)/((-18)/(-51)))/(-8*8/(-384))
-34
(92196/(-4728))/((-6)/(-4))
-13
What is the value of ((-3*(-4)/(-6))/3)/((-28)/147)?
7/2
Calculate (7/(-6)*94/329)/((-2)/(-90)).
-15
Evaluate 10/6*-1*(-150)/(-25).
-10
What is the value of ((-16)/(-26))/(492/3198)?
4
What is 5*126/42*(-3)/135*2?
-2/3
What is (32/24*-18)/2?
-12
Calculate ((36/(-6))/30)/(3/6).
-2/5
((-168)/112)/((-2)/(-20)*3)
-5
What is (88/(-154)*(-21)/9)/((-14)/3)?
-2/7
What is (11/(-11)*(-2)/(-8))/(1/1)?
-1/4
Calculate (432/(-52))/9*(-2)/(8/26).
6
What is ((-72)/(-30))/(9/(-15))?
-4
Calculate ((-21)/70*(-750)/(-810))/(15/(-63)).
7/6
(198/176)/((-2)/8)*(-16)/60
6/5
Evaluate (((-56)/98)/(-1))/(5/175).
20
What is the value of 19470/1062*((-72)/(-20))/2?
33
Calculate ((-9)/117)/((-5)/(-130)).
-2
(-12)/((42/72)/((-28)/(-32)))
-18
What is ((14/20)/((-1)/2))/((-2)/(-4))?
-14/5
What is ((-67)/(-5829)*29)/(1/(-18)*-2)?
3
(-1179)/917*(-1)/(-1)
-9/7
What is the value of 1/(-15)*(-55)/(-11)*(-2)/(-10)?
-1/15
Evaluate ((-15)/(-9)*-3)/((-90)/162).
9
What is (24/(-36))/((-6)/(-36))?
-4
Calculate ((-30)/(-45))/(4/(-12)*1).
-2
What is ((-3)/6)/((-350)/(-1000))*7/1?
-10
Calculate ((-120)/54)/((-240)/96).
8/9
What is (38/(-6))/(1*(112/12)/28)?
-19
(-480)/64*(7/(-28))/((-9)/48)
-10
What is ((-2)/(-136))/((-39)/195*(-10)/(-4))?
-1/34
Calculate 22/11*(18/483)/(96/(-168)).
-3/23
Calculate 34/(3*20/(-18)*21/(-35)).
17
What is the value of (-15)/(-8)*44/(-110)*-16?
12
What is the value of (-6)/(-3*1/2)?
4
What is the value of 55/132*10*3/75?
1/6
Calculate (4*14/32)/(((-165)/(-88))/(-15)).
-14
Evaluate (81/(-138))/9*(-7)/(-42)*4.
-1/23
Evaluate (-33)/(-77)*(-18)/8*(-210)/(-45).
-9/2
What is 2722/4083*12*1?
8
What is ((-29)/(-4))/(-44*(-48)/8448)?
29
((-16)/300)/(52/117)
-3/25
Evaluate ((850/(-51))/25)/(4/(-30)).
5
(-5)/(-1)*42/175*25/5
6
((-1274)/490)/((4/10)/2)
-13
Calculate ((-41)/82)/((2/1)/((-4)/(-13))).
-1/13
What is the value of (-106)/(-159)*(-4)/((-24)/(-99))?
-11
What is the value of (4/(-6))/((-13)/(637/(-14)))?
-7/3
Calculate ((162/(-4))/9)/(10*(-12)/(-480)).
-18
(-2)/((-40)/15)*(-24)/(-15)
6/5
Calculate (2/5)/((-177)/(-1770)*10/4).
8/5
((201/(-402))/(18/4))/((-1)/(-4))
-4/9
What is the value of (-4)/(4/1)*(56/(-4))/(-2)?
-7
(17/(-17))/(5/(25/5))
-1
Calculate (-180)/270*(-2)/(-1)*-6.
8
Calculate ((-2)/(-38))/(((-45)/(-30))/(-3)).
-2/19
Evaluate (-6)/(-52)*152/114.
2/13
Evaluate 4/34*2601/306.
1
Calculate (((-69)/36)/(-23))/(21/(-14)).
-1/18
13*(-13)/(-169)*10
10
What is the value of ((-9)/3)/((-654)/436)?
2
What is ((-424)/159)/((-3)/9)?
8
What is (396/(-30))/11*(-6)/(624/20)?
3/13
What is ((-44)/(-6))/(-38*23/(-1311))?
11
Evaluate 3*(-8)/288*6*240/(-156).
10/13
What is (-2)/13*1875/1250?
-3/13
Evaluate (2*4/(-6))/(38/(-4959)*-29).
-6
Evaluate 54/21*(-1064)/228.
-12
What is the value of 15/40*-20*4/5?
-6
Calculate 12/768*-200*1/(-5).
5/8
(1/(28/(-21)))/((-6)/88)
11
Evaluate 3/(-4)*-1*8*583/75207.
2/43
What is the value of (-6)/(-3)*((-130)/(-13))/(-20)?
-1
Calculate -9*(-3*(-13) | {
"pile_set_name": "DM Mathematics"
} |
to 0? (a) -2/9 (b) 1/4 (c) x
a
Let y = -886.008 - -886. Which is the nearest to -9? (a) y (b) 3 (c) 4
a
Let x = -0.277 + -0.123. Let n(q) = -q**3 - 7*q**2 - q - 2. Let r be n(-7). Which is the nearest to 0.2? (a) r (b) x (c) -2/9
c
Let d be (-1 + 1)/(2/2). Let g = -48 - -48. What is the nearest to d in g, -4, -0.4?
g
Let q = 0.0638 - 0.0538. Let m = 0.3 - 0.2. Let z = -0.3 - -0.1. What is the closest to 1 in m, q, z?
m
Let y be 10/(-15)*(-1)/(-4). Let w = 0.47 + 2.53. Let n = 0.5 + -1. Which is the closest to -3? (a) w (b) n (c) y
b
Let o = 236 - 239. Which is the closest to -3? (a) 4 (b) o (c) 2/9 (d) -4/3
b
Let n = 0 - 3. What is the nearest to 2/3 in -0.2, n, -0.4, 3?
-0.2
Suppose 0 = 3*g - 0*g. Let w be -1 - -34*(-8)/(-390). Let b = w - 2/65. What is the closest to g in 4, b, 2/13?
2/13
Let b = -893 + 890. What is the closest to 0 in 69, 4, 0.3, b?
0.3
Let l = -107385328/474257 - 1/67751. Let d = l - -226. Let q = -25 + 24. Which is the closest to q? (a) d (b) 3 (c) 4
a
Let g be -1*(-4)/(-18) - 6/(-27). Which is the closest to -1? (a) g (b) 4 (c) -1/9 (d) 5
c
Let l = 74 - 80.1. Let j = l + 6. Let s = 0.18 + j. Which is the closest to -1? (a) 0.2 (b) s (c) 4
b
Let n = 109.1 + -109. What is the closest to n in 5, -24, 0.5?
0.5
Let o = -10/51 - -101/255. What is the nearest to 0.4 in o, -4, 4, 1?
o
Let d = 3746/5 + -696. Let r = 54 - d. Which is the closest to 1? (a) -2 (b) -28 (c) r
c
Let j = -0.259 + -10.641. Let k = j + 11. What is the closest to k in 1/6, -0.1, 5?
1/6
Let k = -0.1 + -0.9. Let t = 328 - 327.6. Let l = 0.15 + 0.85. What is the closest to t in l, k, 4?
l
Let v = 2/95 - -11/19. Let t be (((-28)/(-10))/(-7))/(7/5). Let j = -0.4 + 0.2. Which is the closest to j? (a) -1/8 (b) t (c) v
a
Let i be (-8)/15 - -6*(-2)/90. Which is the closest to 4/5? (a) 2 (b) i (c) -4/9 (d) 4
a
Let q = -9 - -13. Let g = 0.09 - 0.29. Let o = g - -0.2. Which is the closest to o? (a) q (b) -3/4 (c) -3/8
c
Let n = -7 - -36. Let t = n + -24. Let z = -7 - -10. What is the nearest to -2/3 in t, z, 0.2?
0.2
Let d = 4.13 - 5.13. What is the nearest to -0.08 in -0.3, 2, d, 0.4?
-0.3
Let j = -5691/2 - -2844. Let r = 508/1729 + -2/247. Let c = -19 - -10. What is the nearest to r in -0.2, c, j?
-0.2
Let r be (273/135)/1 + 6/(-27). Let t = 22/15 - r. Let f be (-2)/(-5) - 4/(-15). What is the closest to -0.1 in t, f, -4?
t
Let k be (-2)/(-6)*9/2. Let n = 4635 + -37077/8. Suppose -3*x + 2*x - 3 = 0. Which is the nearest to 0.2? (a) x (b) k (c) n
c
Let g = -0.74 + -0.26. Let y be (-12)/(-20)*(-6)/9. What is the closest to y in 0.3, -2/5, g?
-2/5
Let w = 0.3 + 0.05. Let f = -0.05 + w. Let g(n) = -n**2 - 31*n + 360. Let l be g(9). Which is the nearest to l? (a) f (b) 3 (c) -5
a
Let m = 5 + -8. Let v = 35.1 + -39. Let n = v - -4.9. What is the nearest to n in 1/2, 1/8, m?
1/2
Let k = -0.4 - -0.9. Let q be (648/(-130) - -5)*10. Which is the closest to -1? (a) k (b) q (c) 5
b
Let m = 2.68 + 0.02. Let d = -23 - -22.3. Let v = d + m. Which is the nearest to 0? (a) -0.4 (b) -1 (c) v
a
Let i(f) = -10*f + 108. Let w be i(11). Which is the nearest to -0.1? (a) w (b) 1/2 (c) 224 (d) 0.3
d
Let t = -2.2 + 1.6. Let j = 0.5 + t. Let x = -14/3 + 4. Which is the nearest to j? (a) 1/6 (b) -3 (c) x
a
Let o = 192/1463 - 2/77. Let l(g) = -g**3 - 9*g**2 - g + 6. Let t be l(-9). Let v = t - 17. Which is the nearest to 1/4? (a) v (b) o (c) 0.3
c
Let w = -84 - -82. Let r = -5 + 5.3. Let f = -2 - -1.9. What is the closest to f in w, -1/4, r?
-1/4
Let y be (-295)/(-118) - 122/52. Let c = 5 + -3. What is the closest to 0 in y, 1/8, c?
1/8
Let i be (-2)/(-20)*(6 - 10). Let p = 3.6 - 6.6. What is the nearest to i in 5, p, 0.2?
0.2
Let t = -1.9601 + -0.0399. Suppose -4*i - 4*l + 4 = 32, 4*i + 5*l + 30 = 0. Which is the closest to t? (a) -0.4 (b) i (c) -0.1
a
Let g = 221 - 222. What is the closest to 19 in -0.5, g, -5?
-0.5
Let z = -3.2 - 3.2. Let d = 2.6 - z. What is the nearest to -0.1 in -4, -3, d?
-3
Let o be 4/63 - (-2)/(-7). Let i = -18 + -1. Let w = i + 22. What is the closest to -1 in 0.1, w, o?
o
Let c be (2 - 3)/(4/32). Let a be (-1)/(-3)*(c - -14). Let y be 4/(-3)*(-27)/(-45). What is the closest to 2/3 in y, a, 0?
0
Let m = -60.9 + 66.1. Which is the nearest to 1? (a) -2 (b) 0.2 (c) m
b
Let x = 10 + -10. Let w = x - -17. Let l = w + -14. Which is the nearest to -1? (a) -0.3 (b) 0 (c) l
a
Let t = 2 + -2. Suppose -11*h - 77 + 22 = 0. Let k = 33/5 - 236/35. Which is the closest to -1? (a) h (b) t (c) k
c
Let l = -2 + 2.7. Let k = -1.2 + l. Let y = -141 - -708/5. Which is the nearest to k? (a) y (b) -1/4 (c) 4
b
Let h(l) = -5*l - 2. Let i be h(-2). Suppose 2*v - i = -0*v. Which is the closest to 4? (a) v (b) -4 (c) -2
a
Let z be (-11938)/34 + -8 + 10. Let s = z - -349. Which is the nearest to -2/7? (a) 2 (b) 0 (c) s
c
Let b = 0.0529 + -0.5529. What is the nearest to 1/64 in 2/7, 3, b, -0.3?
2/7
Let y be 1 - ((-136)/28 - -4)*-1. What is the nearest to -0.7 in 0, -3/4, y?
-3/4
Let s = -2.26 - 1.74. Which is the closest to s? (a) 5 (b) 4 (c) 0
c
Let k = 45 + -118. Let f = k - -75. Which is the closest to -1? (a) f (b) 5 (c) 0.4
c
Let y = -123 + 120. What is the nearest to 1/4 in -5, y, 0.02?
0.02
Let n = 7.17 - 0.17. Let x = n + -7. Let r(s) = s**3 + 2*s**2 - 9*s - 6. Let c be r(-4). What is the closest to c in x, 4/9, -1/2?
-1/2
Let z = 18.1 - 20. Let w = 2.9 + z. Suppose -n - 3 = 0, 5*o = n - 12 - 0. Which is the nearest to 0? (a) -3/5 (b) o (c) w
a
Let y = 605 - 595. Let r = 0.08 + 4.92. Which is the closest to 0? (a) y (b) r (c) -2
c
Suppose -37 = 6*u - 55. Which is the nearest to 1? (a) 0.7 (b) u (c) -5
a
Let l(h) = 4*h + 5. Suppose 3*f - 2*w = -27, 3*f - f + 3*w = -18. Let j be l(f). Let n = j - -31. Which is the nearest to 1? (a) n (b) 0.1 (c) -1/6
b
Let g = 419 + -11315/27. What is the nearest to g in 3/7, -0.1, -5?
-0.1
Suppose r + 0 = -2. Let t be (95/50 - 2)/(r/(-12)). Which is the closest to 1/4? (a) t (b) -0.2 (c) 0
c
Let o = -344.93 + 343. Let w = o + -0.07. Suppose -7*s + 5 + 2 = 0. What is the nearest to w in s, 0.4, -5/4?
-5/4
Let h = 3 + -5. Let j(n) = n**3 - n**2 + 2*n + 5. Let t be j(3). Let x = t - 29. What is the nearest to h in 0.1, 2, x?
x
Let q(r) = 10*r - 248. Let s be q(24). What is the closest to s in 2, 3, 0?
0
Let w = 16.67 + -2.37. Let h = -29 + 15. Let i = w + h. Which is the closest to -1? (a) i (b) 2/5 (c) -4
a
Let t = -10.9 + 9. Let s = t - -5.9. Suppose 5*o - 5*m + 5 = -0*m, -3*o + 2*m = 3. Which is the closest to 2/7? (a) s (b) -1/2 (c) o
b
Suppose 186*d = 181*d - 10. What is the nearest to d in -4, -1/4, -2/5?
-2/5
Let x be (-20)/(-30) + 3/(-3)*1. What is the closest to x in 0.3, 1/8, -0.39?
-0.39
Suppose -5*d = -4 - 6. Suppose -d*m - 20 = 7*k - 2*k, -23 = -k + 5*m. Which is the nearest to -2? (a) -0.4 (b) k (c) -3
b
Let v = -15 + 9. Let b = -663 + 663.4. What is the nearest to 2/9 in 5, v, b?
b
Let k = -1.7 + -0.3. Let q = -90.7 + -16.3. Let w = -110 - q. Which is the closest to 2/9? (a) k (b) w (c) -1/5
c
Let q be (-5)/(-3) + (-4)/6. Let l be ((-2)/14)/(0 + q). Let v = 43/4 - 11. What is the closest to v in l, 0.3, 0.4?
l
Let r = -80 + 80. Let j(g) = -2*g + 1. Let z be j(1). Let s = 0.1 - 0.1. Which is the nearest to s? (a) 0.4 (b) z (c) r
c
Let t = -240 + 219. What is the nearest to t in -2/7, 0.4, -0.1?
-2/7
Let g(l) = -78*l - 781. Let s be g(-10). Which is the nearest to s? (a) 2/55 (b) -1 (c) -2/13 (d) 0.2
b
Let g = -0.0364 - 7.9636. Let h = 0.1 + -0.2. What is the closest to h in 4, -2/5, g?
-2/5
Let r(b) be the first derivative of -b**4/4 - b**2/2 - b - 1. Let y be r(-1). Suppose -4 - y = -5*k. What is the closest to 0.1 in k, -4, 0?
0
Let v = -42.1 + 42. Let l = 0.62 - -8.38. Which is the nearest to v? (a) 0.2 (b) l (c) 0.4
a
Let x = -428 - -428. Which is the closest to x? (a) -325 (b) -5 (c) -0.5
c
Let v = 0.024 - 0.064. Let a = v + -3.96. Suppose 2*b = 3*c - 2*b + 2, 0 = b + 1. What is the closest to c in a, 4, -0.4?
-0.4
Let f = 75.18 - 80.18. Let x = 8 - 6. Which is the nearest to 2? (a) f (b) 1/4 (c) x
c
Let z = 129/5 - 128/5. Which is the nearest to z? (a) -4 (b) -3/5 (c) 13
b
Let n be (-1)/3*6/(-4). Suppo | {
"pile_set_name": "DM Mathematics"
} |
26394926.03 to the nearest one million.
26000000
Round -1305418.66 to the nearest 100000.
-1300000
What is 551757.303 rounded to the nearest one thousand?
552000
Round -0.0006258777843 to 4 dps.
-0.0006
Round 10875.716 to the nearest ten.
10880
Round 0.2019815296 to 3 decimal places.
0.202
What is 6131.02215 rounded to the nearest 1000?
6000
Round -3147390.95 to the nearest one hundred thousand.
-3100000
What is 0.0047420394 rounded to four dps?
0.0047
What is 173703.794 rounded to the nearest ten thousand?
170000
Round -2428.911799 to the nearest 100.
-2400
Round 0.0002771395011 to 6 dps.
0.000277
Round 46893.2476 to the nearest 1000.
47000
What is -73225.763 rounded to the nearest ten thousand?
-70000
What is -248597.3757 rounded to the nearest 10000?
-250000
Round 0.455555977 to 3 decimal places.
0.456
What is 11740405.3 rounded to the nearest 1000000?
12000000
Round 1.7955162 to two decimal places.
1.8
What is -3636.394856 rounded to the nearest 100?
-3600
What is 2080753.82 rounded to the nearest 100000?
2100000
Round -65.1156406 to zero decimal places.
-65
Round -0.000112318719 to 5 dps.
-0.00011
What is 24.39328173 rounded to three decimal places?
24.393
What is -18.4811175 rounded to 3 decimal places?
-18.481
What is 159957.8309 rounded to the nearest 10000?
160000
What is 8895787.074 rounded to the nearest 1000?
8896000
What is -62392.278 rounded to the nearest ten?
-62390
What is -5.134273 rounded to 3 dps?
-5.134
What is 908.4800106 rounded to 1 decimal place?
908.5
What is -7051.0586 rounded to the nearest ten?
-7050
Round 0.0002056322865 to 5 dps.
0.00021
What is -0.380025468 rounded to five decimal places?
-0.38003
Round 0.227950207 to three decimal places.
0.228
Round -494987.598 to the nearest 100.
-495000
What is -12931471.118 rounded to the nearest one million?
-13000000
What is 0.00470062646 rounded to four decimal places?
0.0047
What is 113895.3539 rounded to the nearest ten?
113900
What is -313.965086 rounded to the nearest ten?
-310
Round 0.367283716 to three decimal places.
0.367
What is 0.3903890853 rounded to 5 decimal places?
0.39039
What is -3633.54369 rounded to the nearest ten?
-3630
What is 6156.93633 rounded to the nearest one hundred?
6200
Round -0.02135682866 to four dps.
-0.0214
Round -4771.9302 to the nearest 10.
-4770
What is 0.09460492 rounded to one dp?
0.1
Round 0.0000022871309 to 6 dps.
0.000002
What is -3941070 rounded to the nearest one million?
-4000000
Round -47689213 to the nearest one hundred thousand.
-47700000
Round 102822.37192 to the nearest 10000.
100000
What is -0.8622962849 rounded to three dps?
-0.862
What is -0.000124631086 rounded to 6 dps?
-0.000125
Round -257108.3695 to the nearest ten.
-257110
Round 9.03455344 to three decimal places.
9.035
What is 38331763.8 rounded to the nearest one million?
38000000
What is -0.0512624682 rounded to three dps?
-0.051
Round -0.148985472 to five dps.
-0.14899
Round -0.0185284732 to five dps.
-0.01853
What is 34.6911722 rounded to three dps?
34.691
What is 3522760.716 rounded to the nearest 100?
3522800
What is -793.817363 rounded to 1 dp?
-793.8
Round 0.0050911389 to 3 decimal places.
0.005
What is 9704020.3 rounded to the nearest one million?
10000000
Round -0.00679258701 to two dps.
-0.01
What is 72.210821 rounded to the nearest 10?
70
What is -0.0005564022 rounded to 5 decimal places?
-0.00056
Round -37823.3362 to the nearest ten thousand.
-40000
Round 0.0001341381206 to 7 dps.
0.0001341
What is 194075.0516 rounded to the nearest 10000?
190000
Round -139626575.8 to the nearest 1000000.
-140000000
Round -2.23030614 to three dps.
-2.23
Round 21573727900 to the nearest one million.
21574000000
Round 894.475013 to the nearest one hundred.
900
What is -5.66092629 rounded to one decimal place?
-5.7
What is -1438048.44 rounded to the nearest 100000?
-1400000
Round -2401.7049114 to the nearest ten.
-2400
Round -127.0817517 to two dps.
-127.08
What is 8049986.1 rounded to the nearest one million?
8000000
What is 0.000385438261 rounded to 7 dps?
0.0003854
Round 308027.708 to the nearest 10.
308030
What is 0.00000489943535 rounded to six dps?
0.000005
Round 1288.69567 to zero dps.
1289
What is -27.5050838 rounded to two decimal places?
-27.51
Round 0.127761722 to 5 decimal places.
0.12776
Round -14.68087555 to 1 decimal place.
-14.7
Round 0.000368116057 to six decimal places.
0.000368
What is 14973.87188 rounded to the nearest ten?
14970
Round 141.84309 to the nearest one hundred.
100
Round 0.151891452 to four decimal places.
0.1519
Round -2347328200 to the nearest 1000000.
-2347000000
What is 30.58495499 rounded to two decimal places?
30.58
What is -0.1930853879 rounded to 4 decimal places?
-0.1931
What is -0.00813587209 rounded to 7 decimal places?
-0.0081359
What is 29611094.4 rounded to the nearest 100000?
29600000
What is 16016435 rounded to the nearest 1000?
16016000
Round 24496069.95 to the nearest ten thousand.
24500000
What is 4261301494 rounded to the nearest 1000000?
4261000000
What is 0.00002572080816 rounded to seven dps?
0.0000257
Round -0.001289447559 to 7 decimal places.
-0.0012894
What is -17.2080273 rounded to two decimal places?
-17.21
What is 0.22183055 rounded to 3 decimal places?
0.222
Round 26735394.21 to the nearest 100000.
26700000
Round -33248910.8 to the nearest 10000.
-33250000
Round -0.0009931973347 to 6 dps.
-0.000993
What is 77793368.6 rounded to the nearest one million?
78000000
What is 12142.5863 rounded to zero dps?
12143
What is -0.00308750444 rounded to four decimal places?
-0.0031
What is -0.119412845 rounded to 3 decimal places?
-0.119
Round -10.7696529 to zero decimal places.
-11
What is 434.65817 rounded to the nearest integer?
435
Round 72823628.9 to the nearest 100000.
72800000
What is -1287.2019 rounded to the nearest one thousand?
-1000
What is -0.036393877 rounded to 3 decimal places?
-0.036
What is -4401.00979 rounded to the nearest ten?
-4400
Round 0.000416899589 to 5 decimal places.
0.00042
What is 0.00011102981 rounded to 7 decimal places?
0.000111
What is -6664186.12 rounded to the nearest 100?
-6664200
What is 0.012662912 rounded to 5 decimal places?
0.01266
What is -2524.362187 rounded to the nearest integer?
-2524
Round 1650437.4 to the nearest one thousand.
1650000
What is 16031.767802 rounded to 1 dp?
16031.8
What is 10.86792221 rounded to the nearest integer?
11
Round 0.000000283005895 to seven decimal places.
0.0000003
What is -861175.762 rounded to the nearest one thousand?
-861000
Round -457.750906 to the nearest 100.
-500
Round -0.00078588907 to 6 decimal places.
-0.000786
What is -653084.08 rounded to the nearest ten thousand?
-650000
Round 951.4576 to the nearest 100.
1000
Round 0.0001255379671 to seven dps.
0.0001255
Round -74.945445 to the nearest ten.
-70
Round 4421.053845 to the nearest 1000.
4000
What is 0.000968363 rounded to four decimal places?
0.001
Round -123.129899 to two decimal places.
-123.13
What is -0.532431549 rounded to 5 decimal places?
-0.53243
Round -0.002558185318 to five decimal places.
-0.00256
Round -0.000038083998 to 7 decimal places.
-0.0000381
Round -0.000000398723642 to 7 dps.
-0.0000004
Round -1598.10422 to the nearest ten.
-1600
What is -167.36078227 rounded to three decimal places?
-167.361
What is -28368.378 rounded to the nearest one hundred?
-28400
Round 14412.419669 to the nearest ten.
14410
What is 0.004172932869 rounded to three decimal places?
0.004
Round 0.0000210278005 to six decimal places.
0.000021
Round -61426.6401 to the nearest 100.
-61400
Round 0.00000423882436 to seven decimal places.
0.0000042
Round 497591.59 to the nearest one hundred thousand.
500000
Round 0.00080731697 to six decimal places.
0.000807
What is 261455440 rounded to the nearest 1000000?
261000000
Round -84.490821 to 2 decimal places.
-84.49
Round 19169114.7 to the nearest one hundred thousand.
19200000
What is 22.55256858 rounded to zero decimal places?
23
What is -250333.83 rounded to the nearest one hundred thousand?
-300000
Round 1424334.11 to the nearest 100.
1424300
Round -0.000679991504 to 5 decimal places.
-0.00068
Round -60575695050 to the nearest one million.
-60576000000
What is 0.04137450683 rounded to four dps?
0.0414
What is 1104815.3 rounded to the nearest one thou | {
"pile_set_name": "DM Mathematics"
} |
8. Is t prime?
True
Let q be 7/(14/(-3)) + (-103494)/(-4). Suppose 11*t = 451 + q. Is t composite?
False
Let y(x) = 2*x**2 - 51*x + 30. Let c be y(25). Suppose -5*k = -k - c*i - 5459, 0 = -4*k + i + 5447. Is k prime?
True
Let y be 2/6 + (-64)/12. Let l be 2 + (2 + 1 - 0). Is y/l + (-5)/2*-14 composite?
True
Let x = 70237 + -117397. Is (2/4)/(-10*6/x) composite?
True
Let b(m) = 82*m**2 - 28*m - 3359. Is b(60) a composite number?
False
Let x(g) = 938*g - 205. Let t(r) = 932*r - 204. Let w(b) = 2*t(b) - 3*x(b). Is w(-14) a composite number?
True
Let l = -6588 + 17926. Is l a composite number?
True
Let g(p) = 3*p - 30. Let r be g(14). Let k(l) = 3*l**2 + l - 9. Let m be k(r). Let n = m + 80. Is n a composite number?
True
Suppose -15*m = -6*m - 45. Suppose -m*l - 2 = -7*l. Is (-21)/7*l*251/(-3) prime?
True
Let o(z) = 54*z**2 - 154*z + 2335. Is o(142) composite?
True
Suppose 53*f - 3*b = 55*f - 21616, 0 = -2*f + b + 21592. Is f a composite number?
False
Let f be 3/6*(-4)/(-6)*6. Suppose 0*k + 2812 = f*k. Suppose 4*q = -3*l + 2888, 2*l + k + 2181 = 5*q. Is q a composite number?
False
Let r = 74270 - 47081. Is r - 0 - (3 - (1 + -2)) a composite number?
True
Let j(a) = 7*a - 11. Let d be j(4). Suppose 37*u = d*u + 132740. Is u a composite number?
False
Let o = -12 + -2. Let v be (4/(2 - 4))/((-1)/o). Let a = 111 + v. Is a prime?
True
Let u(t) = t**2 - 11*t + 26. Let y be u(8). Let p be (2 - (y + -2) - 3) + 6. Suppose -2*j + 4*j = -p*z + 431, z = 4*j + 73. Is z a prime number?
False
Let l(g) = -420*g + 3. Let c be l(1). Let v be c/2*50/(-15). Suppose 33*x - 38*x = -v. Is x a prime number?
True
Suppose -37*s + 30713 = -329482. Suppose -2*q + s = 13*q. Is q composite?
True
Let i be 42/14 + (-1 - -1). Suppose -5*r + i*r = -84. Is ((-1899)/(-6))/(9/r) composite?
True
Let q = 1628077 + -482850. Is q composite?
False
Suppose -66803 = 9*t - 569543. Suppose 2*o - t = -5*o. Suppose 0 = -9*n - 2301 + o. Is n composite?
False
Suppose -47*m = -75*m + 16045316. Is m a composite number?
False
Is (2 + 663069)/((3 + -5)/(-2)) a composite number?
False
Suppose 8 = -5*l + 223. Suppose -p + l - 39 = 0. Suppose -p*f + 613 = 125. Is f a composite number?
True
Suppose 2*g = -5*c, -g + 8*c = 4*c - 13. Suppose -4*q = -i - 21522, -3*q = q + g*i - 21534. Is q prime?
True
Let x be 6034 + (-10)/(30/9). Suppose -x = 62*a - 63*a. Is a a prime number?
False
Let l(o) = 1589*o + 32. Is l(43) prime?
False
Let t(o) = -77*o**3 + o**2 + 3*o + 2. Suppose 3 = l, 3*d + 0*d = 2*l + 6. Let i be d*(-5)/(-40) + 7/(-2). Is t(i) a prime number?
True
Suppose -3*y + 1648 - 230 = g, 3*g = -5*y + 2358. Let r be (-1)/(-1)*(2 - 0). Suppose r*x - 5*x = -y. Is x prime?
False
Let j(b) = -b**2 + 14*b - 6. Let v be j(7). Let r = v + 314. Is 1 + (r - 2) + 3 a composite number?
False
Let d(y) = 22135*y - 372. Is d(17) prime?
True
Suppose 15*g = 12*g + 9783. Suppose 0 = 4*i + r - 4348, i - 4*i = -r - g. Is i a prime number?
True
Let p(c) = -459593*c - 676. Is p(-1) a composite number?
False
Let p(z) = 12*z**3 - 31*z**2 - 48*z + 97. Is p(24) a composite number?
False
Let d be (-40)/(-12)*24/(-10). Let o = 5515 + d. Is o a prime number?
True
Let g(z) = -17*z**3 + 2*z**2 + 9*z + 7. Let r be g(-4). Let n = -42 + r. Is n a prime number?
True
Suppose -32*w = -3*w - 16704. Suppose 0 = 5*r + 2*v - 18915, r - v = 3200 + w. Is r prime?
False
Suppose -437 - 51 = -8*i. Suppose -5*y = -17450 - 13730. Suppose i*n = 65*n - y. Is n prime?
True
Let s be 6/(-5 - -7) + 0. Suppose 3*o - 12*v + 15*v - 30918 = 0, 2*o + s*v = 20617. Is o composite?
False
Let b(q) be the second derivative of q**5/20 + q**4/4 - q**3/6 + q**2 - 4*q. Let g be b(-3). Suppose d - 1065 = -g*x, -5*d = 3*x - 4*x + 213. Is x composite?
True
Suppose 4 = 4*a - 4. Let l(x) = x**3 - 19*x**2 + 21*x - 14. Let p be l(18). Suppose 0 = a*b - 6*b + p. Is b a composite number?
True
Let m be -3 + (3 - -1) - -80. Let w = -60 + m. Let b(v) = v**3 - 20*v**2 + 17*v - 7. Is b(w) prime?
False
Let x(r) = -6*r + 9. Let z be x(-5). Suppose -35*p + z*p = 42480. Suppose -p + 1550 = -2*b. Is b a prime number?
False
Suppose -1224*u + 19750 = -1219*u. Suppose -14*m + 992 + u = 0. Is m composite?
False
Is (-1569)/(-6)*296 + 11 + -4 composite?
True
Let k = -480 + 1123. Is k/((4/(-8)*3)/(-3)) a prime number?
False
Is ((-42060)/(-120))/(-4 + (-7140)/(-1784)) prime?
False
Suppose -72*o = -11*o + 38*o - 25770789. Is o a prime number?
False
Suppose -137 = -9*j - 29. Suppose -3*d = -2*d + 3*h + j, -25 = 5*h. Let f(l) = 305*l - 8. Is f(d) a composite number?
False
Let a = 8886 + -3823. Is a a prime number?
False
Is (-9930991)/(-4) + ((-33)/(-154))/(2/(-7)) prime?
True
Let z(u) be the first derivative of -u**3/3 + u**2/2 + u + 21. Let t(g) = 7*g**2 - 5*g - 10. Let l(a) = 2*t(a) + 10*z(a). Is l(6) a prime number?
False
Suppose -23 = -4*i + 25. Suppose 284547 = i*b + 32631. Is b a prime number?
False
Let h(c) be the first derivative of -3*c**2 - 37*c - 47. Let b = -35 + 20. Is h(b) a composite number?
False
Let s(d) = -320*d + 4579. Is s(-30) composite?
True
Suppose u + 5*w + 9 = 0, -w = -4*u + 44 + 4. Let d(x) = 39*x + u + 56*x + 77*x. Is d(2) a prime number?
False
Let y be 3 + 19/(-7) + (-8)/28. Suppose 2*o - 6*o - 2988 = y. Let v = 308 - o. Is v composite?
True
Let t(y) = -1157*y - 566. Is t(-29) composite?
False
Let l(w) = -w**3 - 12*w**2 + 8*w - 21. Let j be l(-13). Suppose 41*t = j*t - 1437. Is t prime?
True
Suppose -2*p = 27*m - 31*m + 112298, 56154 = 2*m - 2*p. Suppose -3*q + m = -3359. Is q a composite number?
False
Let g be (72/10)/(1/5). Let b = g - 36. Suppose 8*x - 437 - 435 = b. Is x a prime number?
True
Let p = 83862 + -44492. Suppose 63*n + p = 73*n. Is n a prime number?
False
Suppose 0 = -9*d + 124 - 25. Let q(j) = j**3 - 2*j**2 + 26*j - 13. Let h be q(d). Suppose 5*i = 5423 + h. Is i composite?
True
Suppose 6*u = -2*v + 2*u + 16344, 3*v + 5*u - 24511 = 0. Let g = v - 631. Is g a composite number?
True
Let b(v) = 1061*v**2 + 34*v + 38. Let m be b(10). Suppose -3*o = x - m, 10*o + 3*x = 9*o + 35490. Is o a composite number?
True
Let d(i) = 242*i + 3. Let b be d(-14). Let p = -1672 - b. Suppose -5*t = -p + 248. Is t prime?
True
Suppose 96 = -6*n - 10*n. Let u(r) = -7 + 7*r - 6*r**2 + 3*r**3 - 4*r**3 - 2*r**3. Is u(n) a composite number?
False
Suppose 5*a + 4*n + 376 = 0, 3*a + 227 = -0*a - n. Let h = -368 - -411. Let y = h - a. Is y a prime number?
False
Let f be 7/(-14)*-8 - 2. Suppose -v + 3*v = 2*w - 20038, f*v = -4*w + 40088. Is w a prime number?
False
Suppose 0 = -4*m + 7*m + 57. Let d = 18 + m. Is ((435/10)/3)/(d/(-34)) a composite number?
True
Let s(q) = 1146*q - 12. Let h be s(11). Suppose b + 5*i - h = -2*b, -3*i = -b + 4212. Suppose -837 = -u + 2*r, u - 4*r = -4*u + b. Is u a prime number?
False
Suppose -3*b - 76 = -82. Suppose -2*z - 10450 = -b*j, -2*z - 5229 = -j - 3*z. Is j composite?
False
Let u be 1 + 9422/12 - 9/54. Let r = 263 + u. Let t = r + -316. Is t composite?
False
Let f = 153 + 1601. Let k = f + 1287. Is k composite?
False
Let z(v) = 690*v**2 + 60*v + 3. Let l(x) = 197*x**2 + 17*x + 1. Let f(k) = 18*l(k) - 5*z(k). Let a be f(-7). Suppose -3*c - 2*c + a = 0. Is c composite?
True
Suppose -3340 = a + 388. Let s = a + 5391. Is s a composite number?
False
Let y(j) = -j**2 + j + 9. Let b be y(3). Suppose 3*m - 5822 = -4*a, b*m + 6*a - a = 5821. Suppose 26*l + m = 28*l. Is l composite?
False
Suppose -3*t = 12, t = 6*j - 2*j - 12. Suppose 2*c = -3*f + 5, j*c + 3*f = 4*c + 1. Is (0 - c) + (0 - -1 - -905) a composite number?
True
Suppose 2*k - 4314 - 14740 = -4*p, 19045 = 2*k + p. Is k a prime number?
True
Suppose -5*v = -27 + 22. Let z be 9938/3 - v/(-3). Let k = -1154 + z. Is k a composite number?
True
Suppose 0 = -5*u + 3*c + 27235, -2*u - 206*c + 10894 = -203*c. Is u prime?
False
Let b(w) = 145*w**2 - 83*w + 1091. Is b(14) a composite number?
False
Let d(c) = 3*c**3 - 4*c**2 + c - 4. Let x be d(3). Let t be 96/x + (-10)/55. Suppose o - 203 = 4*w, t*o - 171 = 3*w + 260. Is o a composite number?
False
Let d(z) = 77 + 2*z - 44 + z - 51. Let q be d(12). Suppose q*g - 12*g = 372. Is g prime?
False
Let g(r) = 3*r**3 - 2*r**2 + 2*r - 5. Let f be g(2). Suppose 19*y - f*y - 1228 = 0. Is y a prime number?
True
Let y = -109 - -4. Let b = y + 404. Is b a composite number?
| {
"pile_set_name": "DM Mathematics"
} |
ifths of a kilogram in grams?
5200
What is 25/2 of a decade in years?
125
How many micrograms are there in 25232.13 tonnes?
25232130000000000
How many microseconds are there in seven eighths of a millisecond?
875
How many litres are there in 7332.113 millilitres?
7.332113
What is one quarter of a gram in milligrams?
250
What is three tenths of a meter in centimeters?
30
How many meters are there in three tenths of a kilometer?
300
How many seconds are there in fifty-one fifths of a minute?
612
What is 3/40 of a litre in millilitres?
75
What is 231.868mg in nanograms?
231868000
Convert 4032.722l to millilitres.
4032722
How many nanoseconds are there in 2.07563 microseconds?
2075.63
What is thirteen fifths of a milligram in micrograms?
2600
What is 3/25 of a century in years?
12
How many milligrams are there in 3/10 of a gram?
300
Convert 3.836566 millilitres to litres.
0.003836566
Convert 525842.3us to seconds.
0.5258423
What is one quarter of a decade in months?
30
Convert 297308.7 micrograms to grams.
0.2973087
What is 0.9939323 millennia in decades?
99.39323
What is 5/4 of a millennium in years?
1250
Convert 74.33118 days to nanoseconds.
6422213952000000
What is eleven halves of a litre in millilitres?
5500
What is 8.01784ng in tonnes?
0.00000000000000801784
What is twenty ninths of a week in minutes?
22400
How many months are there in 1/6 of a year?
2
What is fifteen quarters of a kilometer in meters?
3750
Convert 0.7105017 micrograms to tonnes.
0.0000000000007105017
What is 15007.762 days in weeks?
2143.966
Convert 40235.02 milliseconds to seconds.
40.23502
Convert 3595.02 microseconds to nanoseconds.
3595020
How many millilitres are there in seventy-one fifths of a litre?
14200
What is fourty-six fifths of a gram in milligrams?
9200
Convert 6.644448 centuries to months.
7973.3376
Convert 107.2961 decades to years.
1072.961
What is 59.98817 centuries in years?
5998.817
Convert 29.79531 micrometers to nanometers.
29795.31
Convert 1086441.6 months to centuries.
905.368
How many hours are there in 86378.922 milliseconds?
0.023994145
What is 43/3 of a day in minutes?
20640
How many millilitres are there in three tenths of a litre?
300
How many millilitres are there in seven halves of a litre?
3500
What is 91.7137 millennia in years?
91713.7
Convert 13871.99l to millilitres.
13871990
How many nanograms are there in 0.0847449 micrograms?
84.7449
How many microseconds are there in 32509.06ns?
32.50906
How many seconds are there in 677.58 days?
58542912
Convert 11.83208m to centimeters.
1183.208
How many millilitres are there in 726547.4 litres?
726547400
Convert 362.5393l to millilitres.
362539.3
What is fifty-four fifths of a litre in millilitres?
10800
How many nanometers are there in thirteen quarters of a micrometer?
3250
Convert 99941.65t to micrograms.
99941650000000000
Convert 47187.62ml to litres.
47.18762
How many seconds are there in 5.43647 milliseconds?
0.00543647
How many micrograms are there in 3/8 of a milligram?
375
Convert 1.6088 years to centuries.
0.016088
Convert 635528.5g to milligrams.
635528500
What is 5/4 of a day in hours?
30
How many millilitres are there in thirteen fifths of a litre?
2600
How many micrometers are there in 1/10 of a meter?
100000
How many millilitres are there in 13/4 of a litre?
3250
How many seconds are there in 7.19098ns?
0.00000000719098
What is 495081.5 millilitres in litres?
495.0815
How many nanoseconds are there in fourty-six fifths of a microsecond?
9200
How many millilitres are there in 3/40 of a litre?
75
How many weeks are there in 23155032.6s?
38.2854375
How many meters are there in six fifths of a kilometer?
1200
What is 2968.3572 months in centuries?
2.473631
How many seconds are there in 3/25 of a hour?
432
What is 7/2 of a meter in millimeters?
3500
How many nanoseconds are there in 2.116613ms?
2116613
Convert 387.609138 minutes to weeks.
0.0384532875
What is twenty-seven halves of a year in months?
162
What is 297.53289ms in minutes?
0.0049588815
What is 4/3 of a day in hours?
32
How many minutes are there in 1.3037889 nanoseconds?
0.000000000021729815
What is 156.125 meters in millimeters?
156125
What is 0.7401994ml in litres?
0.0007401994
How many seconds are there in two fifteenths of a minute?
8
How many centimeters are there in 8/25 of a kilometer?
32000
How many litres are there in 826.3471ml?
0.8263471
What is 971.404 millilitres in litres?
0.971404
What is 1/4 of a litre in millilitres?
250
How many millilitres are there in 1.111118 litres?
1111.118
What is 3897.883 meters in kilometers?
3.897883
What is 3/10 of a micrometer in nanometers?
300
Convert 11817.8 minutes to seconds.
709068
How many micrometers are there in 0.592984 centimeters?
5929.84
How many kilometers are there in 46937.83 micrometers?
0.00004693783
What is 25.6442 decades in years?
256.442
What is 23.64038kg in grams?
23640.38
How many millilitres are there in twenty-one fifths of a litre?
4200
How many months are there in 0.9781152 centuries?
1173.73824
What is 1.881368ml in litres?
0.001881368
How many hours are there in thirty-one halves of a day?
372
What is 0.7584172nm in micrometers?
0.0007584172
Convert 12249.159 months to millennia.
1.02076325
Convert 22500.68 years to decades.
2250.068
What is 394.3936 millennia in years?
394393.6
Convert 9.027992ug to nanograms.
9027.992
What is 10509.67 milligrams in grams?
10.50967
What is 21/5 of a tonne in kilograms?
4200
How many years are there in 13/4 of a millennium?
3250
What is 27/2 of a day in minutes?
19440
What is 8/3 of a minute in seconds?
160
How many nanograms are there in 6/25 of a microgram?
240
What is 4.257011g in tonnes?
0.000004257011
What is 358.9746 decades in months?
43076.952
What is 548.1104s in nanoseconds?
548110400000
How many millennia are there in 15849.879 months?
1.32082325
Convert 7287.449g to kilograms.
7.287449
What is 844665.8 millimeters in nanometers?
844665800000
Convert 648.0013 years to decades.
64.80013
How many millilitres are there in 5/4 of a litre?
1250
How many microseconds are there in 48.5656 days?
4196067840000
What is four fifteenths of a day in minutes?
384
What is 8.756408 weeks in seconds?
5295875.5584
What is 31/2 of a litre in millilitres?
15500
Convert 518.644 centimeters to nanometers.
5186440000
How many kilometers are there in 6.249849mm?
0.000006249849
What is 49.22844ml in litres?
0.04922844
How many kilometers are there in 36452.96 nanometers?
0.00000003645296
What is 278.946mg in tonnes?
0.000000278946
What is 3/10 of a litre in millilitres?
300
What is 600818.1 millennia in decades?
60081810
What is 0.3171965 centuries in years?
31.71965
What is twenty-three sixths of a century in months?
4600
How many millimeters are there in 4589.193 centimeters?
45891.93
What is 50.87833nm in kilometers?
0.00000000005087833
What is 1735.914 millennia in decades?
173591.4
What is 16.27228 millimeters in micrometers?
16272.28
How many seconds are there in 5/6 of a day?
72000
What is 8/15 of a minute in seconds?
32
What is 8.036132 centimeters in millimeters?
80.36132
How many millilitres are there in 6/25 of a litre?
240
What is thirty-three fifths of a kilogram in grams?
6600
How many millilitres are there in 15/4 of a litre?
3750
How many centuries are there in 29448.24 millennia?
294482.4
How many nanoseconds are there in nineteen quarters of a microsecond?
4750
What is nine tenths of a second in milliseconds?
900
What is 355135.2 hours in milliseconds?
1278486720000
How many millilitres are there in thirty-two fifths of a litre?
6400
What is 21/5 of a centimeter in millimeters?
42
What is 3/8 of a millennium in months?
4500
What is 52.98608 years in millennia?
0.05298608
What is 9.513776 nanoseconds in microseconds?
0.009513776
Convert 69.84536l to millilitres.
69845.36
How many millilitres are there in fifty-five halves of a litre?
27500
How many seconds are there in 511793.4ns?
0.0005117934
What is 764.0825 litres in millilitres?
764082.5
Convert 565105.4mg to tonnes.
0.0005651054
What is 16797.591ms in days?
0.0001944165625
What is 3/25 of a centimeter in micrometers?
1200
How many grams are there in 6/5 of a kilogram?
1200
How many nanometers are there in 3/8 of a micrometer?
375
How many centimeters ar | {
"pile_set_name": "DM Mathematics"
} |
5. Let m(v) be the third derivative of 7*v**4/24 - 5*v**3/6 + 259*v**2. What is 3*m(y) - 4*n(y)?
-3*y + 5
Let s(w) = 8. Let j = -6788 - -6790. Let v(f) = f. Give j*s(c) - 2*v(c).
-2*c + 16
Let t(w) = w + 1. Let z be (-8 - -17)*(-21 + 29)*1/12. Let h(j) be the second derivative of -j**3/3 - 2*j**2 + j. What is z*t(s) + 2*h(s)?
2*s - 2
Let t(u) = 7*u**3 + 4*u**2 + 1588*u + 4. Let z(y) = 15*y**3 + 9*y**2 + 3177*y + 9. Calculate -9*t(h) + 4*z(h).
-3*h**3 - 1584*h
Let l(w) = -6252*w + 5. Let u(q) = -18705*q + 14. Calculate 17*l(m) - 6*u(m).
5946*m + 1
Let a(j) = 834*j - 3. Let z(d) = 3294*d - 12. Give -25*a(u) + 6*z(u).
-1086*u + 3
Let n(w) = -w**3. Let a be (-882)/225 + 8/(-100). Let y(f) = -3*f**3 + f**2 - f + 2. Calculate a*n(g) + y(g).
g**3 + g**2 - g + 2
Let p(l) = -5133*l - 5. Let b(a) = 92404*a + 91. What is -5*b(w) - 91*p(w)?
5083*w
Let y(n) = 2*n**2. Let g be ((-6)/12 + (6/(-4))/3)*-20. Let x(q) = -q**2. Determine g*x(o) - 5*y(o).
-30*o**2
Let o(r) = r**2 - 26*r + 44. Let x be o(24). Let j(m) = m - 5. Let a(b) = -b + 2. Suppose -4*f + 20 = -2*h - 14, 0 = 3*h - 4*f + 43. Give h*a(w) + x*j(w).
5*w + 2
Let n(o) = 50*o**3 - 3*o. Let v be (-50)/(-24) + (-409)/4908. Let t(s) = 51*s**3 - 2*s. Determine v*n(d) - 3*t(d).
-53*d**3
Let j(h) = -4*h**2 - 10 + 4*h - 22*h + 5*h + 11*h + 11. Let c(g) = -g**2 - g + 1. Give 2*c(a) - j(a).
2*a**2 + 1
Let y(k) = 31992*k**2 + 430*k - 215. Let w(a) = -1333*a**2 - 18*a + 9. Calculate -215*w(z) - 9*y(z).
-1333*z**2
Let g(m) = 2150*m + 63. Let r(d) = -1541550*d - 45150. Determine -2150*g(y) - 3*r(y).
2150*y
Let r(k) = -8*k**2 + 347*k + 45. Let y(u) = u**2 + u + 9. Determine r(f) - 5*y(f).
-13*f**2 + 342*f
Let f(x) = 2*x**2 + 4*x - 2. Let p(h) = 3*h**2 + 5*h - 2. Suppose 2*r = -2*v - 18, 4*v - 8 + 24 = r. Let d be 324/243*15/4. Give d*f(i) + r*p(i).
-2*i**2 - 2
Let j(t) = -2*t**2 - 66*t - 130. Let i be j(-31). Let o(f) = 9*f. Suppose 44 = -9*c + 5*c. Let d = 18 + c. Let h(s) = 10*s. What is d*o(l) + i*h(l)?
3*l
Let w(c) = c**2 + 2*c - 1132. Let o(d) = d**2 + 2*d - 1139. Calculate -4*o(i) + 5*w(i).
i**2 + 2*i - 1104
Let f(v) = 19*v**2 + v + 1. Let d(r) = -45*r**2 + 5*r - 10. Give d(t) + 2*f(t).
-7*t**2 + 7*t - 8
Let n = -3989 - -3995. Let c(a) = 15*a**3 + 4*a**2 + 6*a + 6. Let d(l) = l**3 - l**2 - l - 1. What is n*d(w) + c(w)?
21*w**3 - 2*w**2
Let d(f) = -18*f**2 - 1. Let o(h) = -19*h**2 - 1. Let b(s) = 7*d(s) - 6*o(s). Let g(a) = 11*a**2 + 2. Determine 3*b(k) + 2*g(k).
-14*k**2 + 1
Let t(f) be the second derivative of -f**4/12 - f**3/6 - 21*f + 48. Let a(w) = -6*w**2 - 2*w + 1. Calculate -a(v) + 4*t(v).
2*v**2 - 2*v - 1
Let s(x) = x + 2. Let d(g) = g**3 + 8*g**2 + 10*g + 17. Let m be d(-7). Suppose -2*p = -y - 5 + 26, -2*p + 34 = 4*y. Let f(o) = 3*o + 5. Give m*f(h) + y*s(h).
-h + 2
Let m(l) = 109*l**3 - 251*l**2 + 3*l + 20. Let g(d) = 36*d**3 - 87*d**2 + d + 7. Give 17*g(z) - 6*m(z).
-42*z**3 + 27*z**2 - z - 1
Let z(k) = 10*k - 390. Let x(i) = -7*i + 388. Calculate 5*x(m) + 4*z(m).
5*m + 380
Let j(b) = -5*b + 2. Let h(g) = -2*g + 469. Give -h(p) + 2*j(p).
-8*p - 465
Let p(f) = f**3 - 16*f**2 + 35*f - 5. Let h be p(2). Let b(i) = 5*i**2 + 19*i - 4. Let d(s) = -11*s**2 - 37*s + 9. Give h*b(o) + 4*d(o).
o**2 + 23*o
Let p(s) = -3*s**2 + 33*s + 4*s + 8*s - s**2 - 41*s + 1. Let g(q) = 5*q**2 - 5*q - 1. Give -2*g(z) - 3*p(z).
2*z**2 - 2*z - 1
Let g(q) = -3*q + 12. Let n(s) = -64*s + 99. Calculate 6*g(o) - n(o).
46*o - 27
Let f(i) = 9*i - 10. Let v(g) = 9*g - 14. Let z(c) = -5*f(c) + 4*v(c). Let l be (74/(-14))/(-1) + 4/(-14). Let t(a) = -3 - a + 0 + 2. Calculate l*t(x) - z(x).
4*x + 1
Let q(n) = 2*n**2 + 17*n - 6. Let k(w) = -5*w**2 - 46*w + 17. What is 3*k(d) + 8*q(d)?
d**2 - 2*d + 3
Let t(d) = -5*d**2 + 279*d - 27. Let n(p) = -p**2 + 70*p - 6. Calculate -9*n(l) + 2*t(l).
-l**2 - 72*l
Let d(s) = 7796 - 2*s**3 + 2*s - s**2 - 7799 + s + 6*s**3. Let b(c) = 7*c**3 - c**2 + 5*c - 6. Calculate -3*b(l) + 5*d(l).
-l**3 - 2*l**2 + 3
Let x be 4/6*(-6)/4 - 78/(-26). Let u(q) = -q + 1. Let k(t) = -6*t**2 + 3*t - 2. What is x*u(d) + k(d)?
-6*d**2 + d
Let i(j) be the third derivative of -7*j**5/60 - j**4/8 - j**3/3 + 560*j**2. Let d(w) = w**3 - w**2 + w + 1. Give -d(v) - i(v).
-v**3 + 8*v**2 + 2*v + 1
Let h(j) be the third derivative of j**5/60 - 9*j**2. Let v = 3851 + -3848. Let f(w) = -w**2 + w - w. What is v*f(o) + 5*h(o)?
2*o**2
Let v(l) = -2*l - 4. Suppose 25*s - 2222 + 322 = 0. Suppose -4*f = -2*z - 22, 9 = z - 73*f + s*f. Let q(k) = -4*k - 9. Determine z*q(d) + 5*v(d).
2*d + 7
Let b(z) = -151*z**3 + 300*z**2 + 22*z - 103. Let j(h) = 41*h**3 - 81*h**2 - 6*h + 28. Let s(q) = 7*b(q) + 26*j(q). Let g(t) = t**3 - t**2. Give -6*g(l) + s(l).
3*l**3 - 2*l + 7
Let j(r) = -37*r**2 + 47*r + 7. Let l(m) = -32*m**2 + 51*m + 5. Calculate 6*j(v) - 7*l(v).
2*v**2 - 75*v + 7
Let h(o) = 26*o - 250. Let p(z) = 118*z - 996. Give 9*h(i) - 2*p(i).
-2*i - 258
Let s(i) = -2*i - 128. Let b(h) = 7*h + 513. Calculate -2*b(y) - 9*s(y).
4*y + 126
Let p(b) = 2*b**3 - 9*b**2 + 7*b - 7. Suppose 402 = -3*d - 3*c, d + d = 2*c - 272. Let q = 141 + d. Let j(i) = i**3 - 8*i**2 + 6*i - 6. What is q*p(m) - 7*j(m)?
5*m**3 + 2*m**2
Let l(n) = -17*n**2 + 21*n - 145. Let g(a) = 8*a**2 - 11*a + 67. Give -13*g(i) - 6*l(i).
-2*i**2 + 17*i - 1
Let i(x) = -8*x**3 + 5*x**2 + 9*x + 61. Let f(q) = -31*q**3 + 18*q**2 + 33*q + 244. Determine 3*f(p) - 11*i(p).
-5*p**3 - p**2 + 61
Let g(p) = 2395*p**3 + 4*p**2 - 4*p. Let j(y) = -2394*y**3 - 5*y**2 + 5*y. Give 5*g(n) + 4*j(n).
2399*n**3
Suppose m = 13*m + 2*h + 50, 0 = -2*m + 5*h - 3. Let p(j) = 38*j**3 + 3*j**2 - 3*j + 3. Let f(x) = 39*x**3 + 4*x**2 - 4*x + 4. Give m*p(b) + 3*f(b).
-35*b**3
Let w(d) = 22*d**2 + 14*d + 466. Let k(f) = -16*f**2 - 10*f - 311. Calculate 7*k(s) + 5*w(s).
-2*s**2 + 153
Let r(p) = 4*p + 5. Let a(v) = -14 - v - 21 - 29 + 95 - 30. What is -2*a(l) - r(l)?
-2*l - 7
Let s(x) = 4*x**2 + 10*x - 1. Let g(v) be the first derivative of v**2/2 + 6957. Determine 5*g(k) - s(k).
-4*k**2 - 5*k + 1
Let x(q) = -3*q + 1. Let b(k) = 205*k**2 - 2*k - 2. What is -b(o) - 2*x(o)?
-205*o**2 + 8*o
Let k(r) = -8*r**3 + 9*r + 13. Let o(a) be the third derivative of a**6/60 - a**4/12 - a**3/2 - 499*a**2. What is -2*k(p) - 9*o(p)?
-2*p**3 + 1
Let u(y) = 71*y - 10191. Let w(p) = -25*p + 3398. Give 6*u(c) + 17*w(c).
c - 3380
Let w = 749 + -742. Let x(v) = 5*v**3 - 8*v**2 - 5. Let c(n) = 6*n**3 - 9*n**2 - 6. What is w*x(u) - 6*c(u)?
-u**3 - 2*u**2 + 1
Let v(t) = 121*t**3 + 28*t**2 - 4*t - 4. Let y(l) = 243*l**3 + 52*l**2 - 7*l - 7. Give 7*v(w) - 4*y(w).
-125*w**3 - 12*w**2
Suppose -2*s - 14 = 2*p, -2*p + 5*s = -0*p. Let w(u) = -2*u**2 - 8. Let l(z) = -2*z**2 - 8. Give p*w(y) + 6*l(y).
-2*y**2 - 8
Let n(v) = -38*v + 2. Let r(o) = -2*o. Let u(b) = 37*b**2 - 21*b + 20. Let y be u(1). Give y*r(x) - 2*n(x).
4*x - 4
Let j(c) = -8*c**3 - 9*c**2 + 5. Let m(i) = 7*i**3 + 6*i**2 + 19. Let n(t) = -35*t**3 - 29*t**2 - 107. Let x(f) = -11*m(f) - 2*n(f). Give 5*j(d) - 6*x(d).
2*d**3 + 3*d**2 - 5
Let l(u) = u**3 - 1. Let y(o) = o**3 - 4*o**2 + 4*o + 2. Let p be y(3). Suppose r - 6*r - 7 = 3*c, p*r - 9 = c. Let d(a) = 5*a**3 - 1. What is r*d(i) - l(i)?
4*i**3
Let v(u) = -966*u**3 - 2*u**2 + 48*u. Let n(t) = 387*t**3 + t**2 - 20*t. Give -12*n(c) - 5*v(c).
186*c**3 - 2*c**2
Let w(y) = -21*y**3 - 11*y**2 - 12*y - 7. Let c(i) = 43*i**3 + 24*i**2 + 26*i + 14. What is 6*c(l) + 13*w(l)?
-15*l**3 + l**2 - 7
Let n(q) = 20 - 4 + 0 - 170*q + 174*q. Let p(b) = 11*b + 48. What is 8*n(y) - 3*p(y)?
-y - 16
Let o(f) = -351*f - 3. Let m(n) = -354*n - 5. What is 3*m(w) - 4*o(w)?
342*w - 3
Let f(w) = w**2 - 8*w + 3. Let i(l) be the second derivative of -l**3/6 + 2*l - 14. Let o(v) = -v + 1. Let z(r) = -2*i(r) - o(r). Calculate 3*f(s) + 8*z(s).
3*s**2 + 1
Let b(v) = 1130*v**2 - 2*v - 22. Let q(k) = -3389*k**2 + 7*k + 78. What is 7*b(u) + 2*q(u)?
1132*u**2 + 2
Let z(d) = 5*d**2 + 56*d - 2. Let j(h) = 8*h**2 + 111*h - 4. Give 3*j(b) - 5*z(b).
-b**2 + 53*b - 2
Let v(q) = -8*q**2 + 15*q - 6. Let c(o) = -8*o**2 + 13*o - 19. What is -8*c(n) + 7*v(n)?
8*n**2 + n + 110
Let o(a) = -8*a**3 - 4*a**2 + 43*a + 27. Let p(k) = 6*k**3 + 3*k**2 - 44*k - 22. What is -2*o(l) - 3*p(l)?
-2*l**3 - l**2 + 46*l + 12
Let j(q) = 3*q + 15. Let g be (10/(-3))/((-6)/(-9)) + (-54 - -53). Let w(z | {
"pile_set_name": "DM Mathematics"
} |
t)*(-2587*t**3 + 1309*t**3 + 16*t**2 + 1279*t**3 + 1 + t) to x + o*t**3 + b*t + y*t**4 + m*t**2 and give b.
1
Express (-3 + 3 - 2*m + (39 + 16 - 11)*((1 - 5 + 5)*(2 + m - 2) + 7*m - 16*m - 17*m))*(-6 + 6 + 5) as x*m + a and give x.
-5510
Rearrange -9 + 4*w - 15 - 6*w + (-2 + 6 - 2)*(-2*w + 2*w + 2*w) + 14*w + 4*w - 5*w to x + q*w and give q.
15
Rearrange 4*x**3 + 2*x - 114*x**2 - 1 - 31*x**4 - 58*x**4 + 91*x**4 - 2*x**3 to f*x + r*x**4 + l*x**3 + y*x**2 + m and give m.
-1
Express -421*j - 1695 + 1693 - j**2 - 54*j in the form k + f*j**2 + n*j and give k.
-2
Rearrange (-33 - j + 33)*(j - 2 + 2)*(272*j + 515*j - 1147*j) to d*j + x*j**3 + m*j**2 + p and give x.
360
Express -536*z - 3161*z + 3 - 1 - 9914*z in the form d*z + u and give u.
2
Express -41*c**3 - 7*c**2 - 1 + 2*c**4 + 2*c - 53*c**3 - 74*c**2 + 103*c**3 as s*c**4 + b*c**3 + g*c + z*c**2 + v and give g.
2
Rearrange -3*c - 701 + 16*c - 42*c**3 - 2*c**2 + 699 + 3*c**2 to w*c**2 + s*c**3 + l*c + f and give w.
1
Express (39 + 1568*k - 3137*k + 1570*k)*(2*k**3 - k + k) as l*k + m*k**3 + d*k**4 + x + i*k**2 and give m.
78
Rearrange 311550 - 155774 - 155776 + 8072*y**2 + 1189*y**2 to the form f*y + n + z*y**2 and give z.
9261
Rearrange -5044*w**2 - 5141*w**2 + 9 + 9981*w**2 to the form t*w + g + u*w**2 and give g.
9
Rearrange ((0 + 0 - 1)*(-3 + 3 - 1) - 670 + 484 - 673)*(2*u - 2*u - u**3) to h*u**3 + i + n*u**2 + m*u and give h.
858
Rearrange -608 + 608 + 5161*i - 49*i to the form c*i + l and give c.
5112
Express 11 - 2 + 0*i**2 + 0*i**2 + 1373*i**3 - 1192*i**3 as p + b*i + y*i**3 + x*i**2 and give y.
181
Express 1511*o + 1816*o - 5515*o - 1439*o - 5665*o as n*o + i and give i.
0
Express 9*i**2 + 1306*i**4 - 2 - i**3 + 2*i - 1309*i**4 + 17*i**2 + 0 as c*i**4 + a*i**3 + p*i + r*i**2 + t and give t.
-2
Rearrange (z + 4*z - 24*z)*(-321*z - 148*z**2 + 321*z) - 3*z**3 + 4*z**3 + z**3 to t*z**3 + s*z + y + n*z**2 and give t.
2814
Rearrange (10*r - 6*r**2 - 10*r)*(3 + 0 - 1 + (0 + 2 - 5)*(4 + 5 + 13) - 5 + 0 + 1) to the form a + f*r**2 + d*r and give f.
408
Rearrange (131 - 2*i - 131)*(3*i**3 + 3*i**3 - i**3) - 42*i**4 + 50*i**4 + 19*i**4 to c + v*i + x*i**3 + f*i**4 + g*i**2 and give f.
17
Rearrange -19 + 8*g**3 - 4*g**2 + 11*g + 26*g - 35*g to the form x*g + u*g**2 + c*g**3 + d and give u.
-4
Rearrange (2*k - 4*k - 10*k + 1 + 2 - 2 - k + (1 + 1 + 0)*(3*k + k + 3*k))*(-2*k - 2*k + 2*k)*(-4 + 0 + 3) to the form n*k**2 + f*k + a and give f.
2
Rearrange 6 + 3 - 4 - 3 + 29*s**2 - 211*s**2 to d*s**2 + r*s + f and give d.
-182
Rearrange -2*y**3 + 50*y**2 - 97 - 128 + 0*y**3 - 2*y**4 + 226 to the form u*y**4 + n*y**2 + q + s*y**3 + z*y and give s.
-2
Express -378 + 2*w - 2*w - 190 + 2*w + 414 as p*w + a and give a.
-154
Express -229912*m - m**2 + 2 - 4*m**2 - 146*m**4 + 229914*m + 0*m**2 in the form h + i*m + j*m**3 + t*m**2 + y*m**4 and give t.
-5
Express 1334*d**3 + 7*d**2 - 9*d**2 - 437*d**3 as a*d + s*d**3 + l + j*d**2 and give s.
897
Rearrange (43*y + 17*y - 18*y)*(-25*y**3 + 5*y**3 - 4*y**3) to the form m*y**3 + g*y**4 + a*y + r*y**2 + f and give f.
0
Rearrange -102 - 12*s + 5 - 23 - 91 to the form a*s + b and give a.
-12
Express 97*v**3 - 4*v**2 + 71*v**3 + 4*v**2 + 3 + v - 648*v**3 as o*v**2 + a*v + s + l*v**3 and give l.
-480
Rearrange -157*z + 296*z + 2088*z + 2717*z to h*z + c and give h.
4944
Rearrange -183*o**4 - o**2 - 189*o**3 + 208*o**3 + 0*o**2 + 185*o**4 - 8 to n*o**4 + p + y*o**2 + q*o + h*o**3 and give n.
2
Express (-5*u + 2*u + 7*u)*(26 - 72 - 36)*(1 - 2 + 3)*(-1 - 4 + 7) in the form t + k*u and give k.
-1312
Rearrange 76*w**4 + 12949*w - 12938*w + 2 + 18*w**4 to d*w + f*w**3 + l*w**4 + a + s*w**2 and give d.
11
Rearrange -3*o**2 + 4*o**2 - 4*o**2 + (-3*o - 3*o + 4*o)*(-o - o + o) + (o - 5 + 5)*(140 + 32*o - 140) to the form k*o + s + y*o**2 and give s.
0
Express -14516 - 349*z + 14516 + (-2 - 1 + 1)*(2*z - z + 0*z) + 5*z + 2*z - 6*z in the form x + d*z and give d.
-350
Rearrange (-31 + 16 + 12)*(-147 - 4 + 31)*(k**2 - 3*k**2 - k**2) to q*k + a*k**2 + t and give a.
-1080
Rearrange 13*y**4 + 6248*y**2 - 6249*y**2 + y - 3*y**4 to the form k*y**3 + o + s*y**2 + z*y**4 + l*y and give z.
10
Express -3*l**2 + 0*l**2 - 157344 + 7*l + 11*l**3 + 157340 + 2*l**2 as s + p*l**3 + y*l**2 + v*l and give p.
11
Express 179 + 18*g**2 - 179 + 62*g + 0 as c*g**2 + w + q*g and give c.
18
Rearrange -p**2 + 2*p - 2*p + (262*p - 139*p - 138*p)*(-2 + 2 + p) - 4*p**2 + 6*p**2 - 4*p**2 to the form o + v*p + d*p**2 and give d.
-18
Express -4*r + 5142*r**4 - 1711*r**4 - 1722*r**4 + 4 - 1718*r**4 as q*r**3 + c*r**4 + g*r + v*r**2 + p and give c.
-9
Rearrange (47*m**2 + 836*m - 836*m)*(-6*m + m - 29*m)*(4*m + 0*m - 2*m) to g*m**2 + k*m + j + f*m**3 + l*m**4 and give l.
-3196
Rearrange 699 - 678 + 30*g**2 - 49*g**2 to the form u + w*g + b*g**2 and give b.
-19
Express (-180*j**2 - 65693 + 65693)*(2296 + 15*j - 2298 + 37*j) as s*j + x*j**2 + u + m*j**3 and give m.
-9360
Rearrange 4270*t - 974 + 324 + 322 + 328 to r + q*t and give q.
4270
Express -832*c + 13754*c**2 + 832*c - 2810*c**2 as v*c**2 + o + k*c and give v.
10944
Express -8*f + f**2 - 3*f**3 - 7*f + 1 + 0 + 28*f in the form q*f + r + k*f**2 + w*f**3 and give r.
1
Express -7*k**2 - 79*k**2 - 34*k**2 + (-4*k**2 + 5*k**2 + 0*k**2)*(0 - 3 - 1) as x*k + p*k**2 + r and give x.
0
Express g**4 + 0 + 1890747*g**3 - 1890746*g**3 - 4*g + 6*g**4 - 3 as k*g**4 + b + p*g**2 + z*g + y*g**3 and give y.
1
Rearrange 3*y - 3*y + y**3 + (-4 + 2 + 4)*(3 - 5 + 0)*(-y**2 - 2 + 2)*(-30 - 115571208*y + 115571132*y + 2) to l*y**3 + s*y**2 + g*y + m and give l.
-303
Express 11*o - 11*o - 5*o**3 + o - 88*o**2 - 2 - 6*o + 3*o**3 in the form m*o**2 + q*o + z*o**3 + c and give c.
-2
Rearrange 417 - 3*p - 1191 + 453 to the form i + y*p and give i.
-321
Rearrange (y**2 + y**2 + 0*y**2)*(0 + 1 + 0)*(843 - 475 - 639) to o + r*y**2 + d*y and give r.
-542
Express 14*i - 60691*i**3 + 60692*i**3 + 83*i**2 - 17*i**2 in the form j*i**3 + u*i + f*i**2 + z and give j.
1
Rearrange 196*d + 73*d + 1 + 194*d + 26*d - 118*d to m + v*d and give m.
1
Express (-2*g**2 + 0*g**2 + 0*g**2)*(1 - 9*g**2 - 1) - 104*g**4 + 10 - 10 as k*g + u + a*g**4 + t*g**2 + w*g**3 and give a.
-86
Rearrange (-1 + 6 - 2 + (-1 + 0 + 2)*(-1 + 2 - 2))*(0 - 41 - 4)*(-3*f + 5*f - 3*f) to t*f + q and give t.
90
Express (-4 - 2 + 4)*(-96 + 8 + 28)*(1 + 0 + 1 + (0 - 2 + 0)*(0 + 3 - 4) - 2 + 4 + 0)*(4*u - 4*u - 2*u) as l*u + w and give l.
-1440
Express (-3*l + 21*l - 8*l)*(13 + 35 + 326 + 144) in the form a + z*l and give z.
5180
Express (-2*h + 0 + 0)*(-4*h + 5*h + h)*(2167 + 1834 - 719) in the form v*h + x + j*h**2 and give j.
-13128
Rearrange 817 + 8980*b + 3765*b + 818 - 1635 to the form c + o*b and give o.
12745
Rearrange (-2 + 0*h - 2*h + h)*(1 + 1 - 1 + (1 + 0 + 1)*(-2 + 6 - 2) - 2 - 3 + 0 + 115 - 29 - 31) to m + x*h and give x.
-55
Express 3*b + 76 - 39 + 4*b + 122 + 23 as u*b + p and give p.
182
Express (-1 + 0 + 4)*(-1 - 2 + 4)*(-71*j + 42*j - 53*j)*(-7 - 5 + 5) as v*j + u and give u.
0
Rearrange -527985 - 2303*h + 527985 to the form o*h + d and give o.
-2303
Rearrange (259 - 105 - 95 - 9*w**2)*(-8 + 6*w**2 + 8)*(-1 - 4 + 3)*(1 - 2 - 1) to the form y*w**4 + p*w**3 + b*w + g + x*w**2 and give x.
1416
Rearrange (-377*x - 20754*x + 3362*x)*(x - 3*x + x - 7*x) to the form q*x**2 + l*x + u and give q.
142152
Rearrange -9496 + 1443*y + 9496 to the form b + a*y and give a.
1443
Express (1 - 1 + t)*(0 - 4 + 3) - t - 1 + 1 - 2*t + 3*t - 3*t + (2*t - 3 + 3)*(-20 - 20 + 15) + 67*t + 45*t + 4*t in the form b + a*t and give b.
0
Express 0*c**4 + 57*c**2 + 11*c**3 - 25*c**2 - c**3 - 3 - 30*c**2 - 22*c - 2*c**4 in the form i + z*c**3 + b*c + r*c**4 + g*c**2 and give b.
-22
Express 2062*d**4 + 2056*d**4 + 129*d**2 - 3 - 4119*d**4 + 2*d as g*d + x + y*d**4 + o*d**3 + t*d**2 and give y.
-1
Express 6*w**2 - 13*w**2 - 14*w**2 + (-107*w + 76*w - 75*w)*(-3*w + 0*w + 0*w) in the form v + r*w**2 + n*w and give r.
297
Express -3*v**4 + 4*v**4 + 3*v**4 + (1 + 6 - 2)*(-3*v**4 + 0*v**4 + 2*v**4)*(14 - 2 - 2) in the form m + j*v**2 + x*v**4 + s*v + k*v**3 and give x.
-46
Rearrange 29216*r**2 - 15008*r**2 - 14635*r**2 - 8*r**3 to l*r**3 + z*r**2 + o + t*r and give z.
-427
Rearrange (-2 + 4 - 1)*(v + v**2 - v) + (-3*v - 22*v + 3*v)*(-6*v - 11*v - 5*v) to t | {
"pile_set_name": "DM Mathematics"
} |
w**2 - w**2 + 2*w**2 - j + 4*w. Determine q(-5).
-1
Suppose -5*w + 6 = -4*w. Let g(v) = 2*v**2 - 9*v. Give g(w).
18
Let h(z) be the first derivative of -13*z**3/3 - z + 3. Calculate h(-1).
-14
Let a(l) be the third derivative of -l**9/20160 - l**8/10080 - l**7/5040 + l**5/15 - 6*l**2. Let x(z) be the third derivative of a(z). What is x(-1)?
2
Let x = 122 + -126. Suppose 5*q = -2*f + 7, -3 = 4*q - 6*q - f. Let h(a) = -q - 1 + 0 - a. Determine h(x).
2
Let s(u) = u**3 - 5*u**2 + 3*u. Suppose 0 = 2*y + 2 - 10. Suppose 13 = 5*v + 4*x - 18, 8 = -y*v + 5*x. Calculate s(v).
-9
Suppose -y + 4*m = -19, 3*y - 2*m + 4*m = -13. Let l(k) = -13*k**2 + 2*k + 1. What is l(y)?
-14
Let l(u) = u**3 + 2*u**2 - 2*u - 2. Let a(d) = d**2 + 2*d + 4. Let f(s) = -3*s**2 - 5*s - 11. Let w(c) = 8*a(c) + 3*f(c). Let h be w(2). What is l(h)?
-5
Let a = 6 - 5. Let b(z) = -2*z**3 - 3*z**2 + 9*z**3 + 5*z**2 - 3*z**2. What is b(a)?
6
Suppose -n = o + 4, 0*n - 2*o - 8 = -4*n. Suppose -y = -0*y - 5. Let h(g) = 0*g - 6*g + y*g. Give h(n).
0
Suppose -4*j - 2 + 22 = 0. Suppose -3*p = -0*p - n + 19, 0 = -2*p - j*n - 7. Let a(h) be the second derivative of -h**4/12 - 5*h**3/6 - h**2/2 + h. Give a(p).
-7
Let q(x) = 5 + 71*x**2 - 70*x**2 + 13*x + 4 + 2. What is q(-12)?
-1
Let f(p) = p**3 - 7*p**2 + 4*p - 6. Let n(v) = -5*v + 9*v**2 - 15*v + 31 - 5*v**3 + 34*v**2 - 7*v**2. Let s(y) = 11*f(y) + 2*n(y). Calculate s(4).
-4
Let i(a) = a**3 + 3*a**2 + 4*a + 2. Let j be i(-2). Let c(q) = -q**2 - 2*q - 3. Give c(j).
-3
Let b(w) = 10*w + 1 - 2 - 16*w - w**2. Give b(-4).
7
Suppose -4*z - 4 = -5*d, d + d - 3 = 3*z. Let r = 1 - d. Let b(h) = 14*h. Give b(r).
14
Suppose 0*p + 3*p = 63. Suppose 5*t + 3*l + 9 = p, 4*l + 7 = t. Let s(j) = j**2 - 4*j + 3. Determine s(t).
0
Suppose 2*x - 114 = -0*x. Suppose 0*t - 3*t - 24 = -z, -3*z = -4*t - x. Suppose -8*y + 3*y + z = 0. Let l(g) = g**2 - 4*g. What is l(y)?
-3
Let r(x) = 5*x. Suppose 3*h = h + 8. Suppose 4*s - 3*s = -h*a - 23, 0 = -4*s + 3*a - 16. Let c = s + 5. What is r(c)?
-10
Let c(f) = -f**3 - 7*f**2 - 7*f - 6. Let g = -2 - 4. Let x be c(g). Let w(h) = -h**2. Let u(b) = -6. Let k(j) = -u(j) + w(j). What is k(x)?
6
Let m(c) = -c - 10. Suppose 0 = -5*h - 3*f - 15, 0 = h + 5*f - 8 - 11. What is m(h)?
-4
Let q(k) = -3 - 6 + 9 - 4*k. Let o(j) = 5*j + j**2 - 4 - 2*j - 2*j. Let p be o(-3). What is q(p)?
-8
Let h = 4 - 2. Let b(t) = -t**3 + h*t**3 + 2 - 4 + t. What is b(0)?
-2
Let m(t) = t + 6. Let y be m(-11). Let o(j) = 2*j + 4. What is o(y)?
-6
Let t = -8 - -12. Suppose t = -3*c - c. Let x(p) = -2*p**2 - 1. Give x(c).
-3
Let j(u) = 4*u**2 + u - 8. Let p(c) = 3*c**2 + c - 7. Let r(x) = -6*j(x) + 7*p(x). Let w(q) = -6*q**2 - 2*q**3 + 1 + q**3 + 2*q**3. Let f be w(6). What is r(f)?
-3
Let o(n) = 5*n + 5. Let k be o(-2). Let d(h) = h**3 + 6*h**2 + 3*h - 5. Calculate d(k).
5
Suppose 3*l - 5 = -2. Suppose 5*h = 4*a + l + 1, -5*a = -h + 13. Let k(b) be the second derivative of b**5/20 + b**4/4 - b**3/3 + b**2 - 2*b. Determine k(a).
8
Let g = 14 - 14. Let s(u) = 5*u**2 + g*u - 6*u + 4 + u**3 - u. What is s(-6)?
10
Let c(k) be the second derivative of -k**6/360 + k**4/24 + k**3/6 - 2*k. Let q(v) be the second derivative of c(v). What is q(-2)?
-3
Let c(h) = -4*h - 10. Let v(w) = -5*w - 9. Let x(d) = 4*c(d) - 3*v(d). Give x(-6).
-7
Let d = -8 + 13. Let g(j) = -3 - d*j - j + 5*j + j**2. Suppose -4*s + s - 4 = -4*i, -2*s + 8 = 0. What is g(i)?
9
Let w(r) be the second derivative of 3*r**5/10 + r**4/12 - r**2/2 - 7*r. Determine w(1).
6
Let c(o) = -o + 6. Let d be c(6). Let n(f) = -f**3 + f**2 + 6. What is n(d)?
6
Let b(c) = -c**2 + 8*c. Suppose 5*w - w = 24. What is b(w)?
12
Let v(m) be the second derivative of m**5/20 - m**4/2 - m**3/3 + 4*m**2 - m. Let a be v(6). Let h(x) = -x - 2. Calculate h(a).
2
Let u(y) be the first derivative of -y**4/4 + 2*y**3/3 + 5*y**2/2 - 2*y + 33. Calculate u(4).
-14
Let d(k) = -4*k - 1. Let y(o) = -10*o - 5. Let z(r) = -3*d(r) + y(r). Suppose 2*c - a = -0*c + 15, 0 = -2*c + 3*a + 25. Give z(c).
8
Let g be ((-12)/8)/(1/(-2)). Let c(v) = -1 + 0*v - v - 2 + 3*v. Calculate c(g).
3
Let u(s) be the second derivative of 4*s**3/3 + s**2/2 + 9*s. What is u(1)?
9
Let m(y) be the third derivative of y**6/60 - y**5/20 + y**3/6 + 6*y**2. Let q = 7 - 4. Suppose -g + 8 = q*g. Calculate m(g).
5
Let n(w) = -2*w**2 - 7*w. Let x(r) = r. Let a(l) = -4*n(l) - 28*x(l). Calculate a(-1).
8
Let d(y) be the third derivative of y**4/24 + y**3 - 2*y**2. Give d(-7).
-1
Let f(m) = m + 5*m**2 - 9 + 5*m - 5*m**2 - m**2. Determine f(6).
-9
Let k(c) = 338*c**2 - c + 4*c + 1 - 342*c**2 - 4*c. Determine k(1).
-4
Let p(j) = -j**3 - 6*j**2 - 5*j + 4. Suppose -2*z + i - 12 = -4, 0 = 5*z + 3*i + 31. Give p(z).
4
Suppose -u + 4*j = -2*u + 5, 4*u = j + 20. Suppose -2*h = 1 - u. Let n(i) = 0*i**3 - 3*i - 2*i**h - i**3 - 2 + i + 4*i. What is n(-3)?
1
Suppose 8*y - 16 = -2*b + 3*y, 3*b - y - 7 = 0. Let x(t) = -t**2 + 3 - 3 + b*t - 2 - t. Calculate x(2).
-2
Let w(k) = k**2 - 5*k + 5. Suppose -4*a - 5*h = 0, 4*h - 5 = -5*a - h. Calculate w(a).
5
Let v(w) = -w**3 - 1 + 5 + 2*w**3 + w**2 - 2 - 3*w. Determine v(-3).
-7
Let i(r) = r - 4. Let k = -11 - -18. Let v be i(k). Let g(u) = 0*u + 0*u - 2 - v*u + u**2. What is g(2)?
-4
Let x = 34 + -24. Let t = -4 + x. Let q(n) = 6 + t - 5 - 4*n + 5*n. What is q(-5)?
2
Let b(v) = 54*v**2 + 57*v**2 - 109*v**2 + 2. Calculate b(2).
10
Suppose 2 = r - 8*i + 4*i, -i = 5*r + 11. Let f(l) = l - 2. Determine f(r).
-4
Let d(i) = -3 - 1 + 3*i - 5*i + 6. Suppose -2*t = -11 + 3. Suppose -10 = -s - t*s. What is d(s)?
-2
Let o(c) be the first derivative of c**2 + 4*c + 7. Calculate o(-5).
-6
Let y be 2/(-2 + 0) + 3. Suppose 3*g - 5*u - y = 2, 0 = 2*g - 2*u - 4. Let b(m) = -4*m + g + 12*m - 4. What is b(1)?
7
Suppose 0 = 3*l + l. Let o(f) = f**3 + f + 5. Determine o(l).
5
Let p = -11 - -6. Let j(d) = d + 6. Calculate j(p).
1
Let n(q) be the third derivative of -q**5/60 + q**4/4 + 7*q**3/6 - 13*q**2. What is n(6)?
7
Let i = 2 - 3. Let g be i*(-1 + -2*1). Let f(p) be the third derivative of -p**5/60 + p**4/12 + p**3/3 - 6*p**2. What is f(g)?
-1
Let p(q) = -q**2 + 7*q. Let b be p(7). Let v be b - (0 + 3 + -3). Let o(f) = -f**3 - f**2 - 2. Let r be o(v). Let l(s) = s + 3. Give l(r).
1
Suppose 5*f + 4*z - 11 + 1 = 0, 37 = 2*f - 5*z. Suppose -2*x + 5*j = -10, 5 = 2*x - 3*j - 5. Let u(q) = -q + x*q - 3*q + f. Give u(-5).
1
Let n(i) = 4*i**3 - 6*i**2 - i - 10. Let m(g) = 9*g**3 - 12*g**2 - g - 20. Let z(s) = 3*m(s) - 7*n(s). Determine z(7).
-11
Let h = -27 - -19. Let p(j) = -17*j + 2. Let c(i) = 6*i - 1. Let y(u) = h*c(u) - 3*p(u). Let w be (-3)/((18/(-4))/(-3)). What is y(w)?
-4
Let c(l) = -l**3 + 3. Let i = 4 - 22. Let u = 18 + i. Determine c(u).
3
Let o = -17 - -30. Let i(y) = y**2 - 14*y + 15. What is i(o)?
2
Let a(m) = m**2 - 4*m - 3. Let r be a(5). Let w(z) be the first derivative of -1 + 1/2*z**2 - z. Calculate w(r).
1
Let y(b) = -b. Suppose -22 = -5*x - 4*k, 9*k = -3*x + 4*k + 21. Suppose -x*z - 18 + 6 = 0. Calculate y(z).
6
Let p(z) be the third derivative of -z**6/120 + z**5/30 - z**4/24 - z**3/3 + 5*z**2. Suppose -2 - 8 = 5*n. Calculate p(n).
16
Let n(u) = 3*u**2 + 4*u + 3. Let s(o) = 11*o. Let q = 0 + -2. Let v be s(q). Let g be 72/(-33) - 4/v. Give n(g).
7
Let m(l) = l**3 - l**2 + 6*l + 1. Let c(g) = -g**3 - 5*g - 1. Let t(v) = 3*c(v) + 2*m(v). Let k(n) = -4 - 6*n + 2*n**2 + 2 - n**2. Let d be k(6). What is t(d)?
5
Let v(r) = -5*r + 1 + 5*r + r. Let p(y) = -y**2 - 17*y - 17. Let h be (-2)/3*(3 + 21). Let j be p(h). What is v(j)?
0
Let j(w) = w**2 + 4 + 3 - 4 + 2*w - 2*w**2. Let m(b) be the third derivative of b**6/120 + b**5/20 - 5*b**4/24 - b**3 + b**2. Let r be m(-4). Calculate j(r).
-5
Let r(s) = 6*s + 1. Let z(m) = m**2 + 2*m - 1. Let q be z(-2). What is r(q)?
-5
Let d = -17 - -13. Let g(r) = -r**3 - 4*r**2 + 2*r + 4. What is g(d)?
-4
Let h = -5 - 11. Let m be 6/(-21) + h/(-7). Let f(n) = -n**m + n**2 - 3*n**2 + 2*n**3. Calculate f(2).
4
Let n(p) = -9*p**3 + 2*p**2 - 1. Let k be n(-1). Suppose 0 = -2*f + k - 4. Let j(u) = u**2 + 50 - 50 - 2*u. Determine j(f).
3
Let z(h) be the third derivative of -h**4/8 - h**3/3 - 3*h**2. Give z(2).
-8
Suppose -3*n - 6 + 18 = 0, 2*j - 6 = -3*n. Let z(q) = -q**3 - 2*q**2 - 2*q - 3. What is z(j)?
12
Let z(l) = l* | {
"pile_set_name": "DM Mathematics"
} |
v) is divided by 29.
28
Let x = -29 - -33. Suppose -3*h - c = -4*c - 9, 4*h = -x*c + 36. Calculate the remainder when h is divided by 2.
0
Let d be (-5)/(20/(-16)) + 12. Suppose -42 = -19*q + d*q. Let g = q - -3. Calculate the remainder when 49 is divided by g.
15
Suppose 645 = 12*u - 243. What is the remainder when u is divided by 4?
2
Suppose -197 = -y + 22. Calculate the remainder when y is divided by 73.
0
Let a be 3*(-33)/(-9) - 1. Suppose 12*l - a*l - 22 = 0. Calculate the remainder when 52 is divided by l.
8
Let l be (-1 + (-8)/(-6))/(3/45). Suppose -5*a - 25 = 0, 5*k - l*a - 68 + 8 = 0. What is the remainder when (0 + 22)/2*1 is divided by k?
4
What is the remainder when 270 is divided by (-120)/(-14) + (-68)/119?
6
Let w(n) = n**2 - 2 + 8*n - 6 + 16. Calculate the remainder when 32 is divided by w(-9).
15
Suppose 5*d - 4*v = 3*d, 5*v = -3*d + 55. What is the remainder when d is divided by 8?
2
Suppose -5*i + 214 = -171. Suppose 0*o - i = -o. What is the remainder when o is divided by 16?
13
What is the remainder when (-357)/(-5)*(15 + -18 + 8) is divided by 28?
21
Let o(n) = 25*n - 9. Calculate the remainder when 67 is divided by o(1).
3
Let c be -3 + -1 + (-5)/(-1). Calculate the remainder when -5 + c + 51 + 0 is divided by 10.
7
Suppose 216 = -0*a + 5*a + 4*j, 0 = 4*a + j - 164. Let u = 255 - 98. What is the remainder when u is divided by a?
37
Suppose c + 34 = 3*c. Let d = c + 102. Calculate the remainder when d is divided by 60.
59
Let i(z) = z**2 - 13*z - 45. What is the remainder when i(-7) is divided by 48?
47
Suppose -y + 3*y = 18. Let m(w) = -6*w - 166. What is the remainder when m(-38) is divided by y?
8
Suppose 0 = -28*j + 36*j - 1224. Calculate the remainder when j is divided by 52.
49
Let t be (34/(-10))/((-3)/15). Suppose -16*w + t*w - 25 = 0. Calculate the remainder when w is divided by 2*(54/4)/3.
7
Let x = 215 + -194. Suppose -48 = -4*a - 4*d, 0*d + 1 = d. Calculate the remainder when x is divided by a.
10
Suppose -2657 = -4*m - j, -2*j = 3*m + 2*m - 3322. What is the remainder when m is divided by 134?
128
Let t(h) = -14*h**3 - 1. Let d(w) = -w**3 - w**2 + 3*w + 24. Let l be d(0). Suppose y - l = -1. Calculate the remainder when y is divided by t(-1).
10
Suppose -3*n + 3*p + 15 = 0, 4*n - 7 = p + 19. What is the remainder when (108/21)/(2/n) is divided by 4?
2
Let r(s) = s**3 - 15*s**2 + 16*s - 25. Let o be r(14). Calculate the remainder when -3 - ((-41)/3 - 1/o) is divided by 4.
3
Let y = -16 + 11. What is the remainder when 15 is divided by -3 + (-7)/(y - -4)?
3
Suppose 0 = r + 2*c - 1, -3*r + 48 = -3*c. Let v = -1 - -7. What is the remainder when r is divided by v?
5
Suppose -2379 = -94*a + 81*a. Calculate the remainder when a is divided by 92.
91
Suppose -4*w - 2*r + 11 = -3*w, -6 = -2*r. Suppose 0 = -0*f - f + 16. What is the remainder when f is divided by w?
1
Suppose 7*b = 9*b - 236. Suppose -12*r - b = -334. What is the remainder when r is divided by 10?
8
Calculate the remainder when (-2)/8 - (16 + (-6544)/64) is divided by 30.
26
Let q = 1104 - 787. What is the remainder when q is divided by 64?
61
Suppose 4*u + 12 = 36. Let j = u - -2. Calculate the remainder when 22 is divided by j.
6
Let j = -138 - -147. Suppose 12*g = j*g + 75. What is the remainder when 147 is divided by g?
22
Suppose 0 = -24*d - 7*d + 1705. Calculate the remainder when d is divided by 16.
7
Let r(z) = -z**3 - 16*z**2 - 15*z + 16. Let d be r(-15). Suppose -l - 4*l = h - d, -2*l = 5*h - 149. What is the remainder when 91 is divided by h?
29
Suppose 4*o + 560 = j, 5*j = -12*o + 8*o + 2824. What is the remainder when j is divided by 63?
60
Suppose -4*t + 77 = 3*y - 25, 0 = -5*t + 2*y + 139. Let z = 1 + -1. What is the remainder when t is divided by 1 + (z - 56/(-4))?
12
Suppose 4*w + 82 = 278. What is the remainder when 116 is divided by w?
18
Let s(b) = 39*b. Let x(d) = 29*d**2 - 82*d - 164. Calculate the remainder when x(-2) is divided by s(1).
38
Let h be 0/(1/3*3). Suppose h = -4*v + 16 + 8. Calculate the remainder when (-5 - -2)*(-69)/(-9)*-1 is divided by v.
5
Suppose -4*y + 0*x - 78 = -5*x, -5*x + 10 = 0. Let g = y - -30. Let p(j) = -11*j - 6. What is the remainder when p(-4) is divided by g?
12
Calculate the remainder when 249 is divided by -2*(6 + 504/(-16)).
45
Suppose 0 = -5*k - 20, -20 = p - 2*k - 133. Calculate the remainder when p is divided by 13.
1
Suppose 2*r = -3*j + 4*r + 233, -5*j + 379 = -r. What is the remainder when 273 is divided by j?
48
Let n be ((-4)/(-2))/(3/(-12)*1). Let p = n + 22. Calculate the remainder when 2*1*(-54)/(-4) is divided by p.
13
Suppose o = -3*f + 25, 33 = -5*f + 4*o + 86. What is the remainder when 152 is divided by f?
8
Let s be (-2 - 1*-4)*2. Suppose 3*d + s*q = 6*d - 74, 2*q = -4*d + 106. What is the remainder when d is divided by 1071/147 + (-2)/7?
5
Suppose -4*j - 5*n + 77 = 0, -3*j = 3*n - 2*n - 44. Let u(q) = -6*q + 8. Calculate the remainder when u(-7) is divided by j.
11
Suppose 2 = -v + r, -2*v + 3*r = 4 + 4. Suppose -v*f + 252 = f. What is the remainder when f is divided by 29?
26
Let o be 1*(-69 - (0 + 2)). Let c = -51 - o. What is the remainder when 39 is divided by c?
19
Suppose 8*z - 739 - 3773 = 0. What is the remainder when z is divided by 5?
4
Let p be 6/(-8) - -1*118/8. Let b = p + 24. What is the remainder when b is divided by 21?
17
Let a be 51/7 - 4/14. Let i = 23 - a. What is the remainder when 44 is divided by i?
12
Let n(g) = g**2 + 28*g + 264. Calculate the remainder when n(-31) is divided by 18.
15
Let a be ((-20)/(-50))/((-2)/10) + 5. Let f(n) = -10*n + 33. What is the remainder when 24 is divided by f(a)?
0
Let t = 581 - 556. Calculate the remainder when 142 is divided by t.
17
Let y(m) = -m**2 - 4*m + 1. Let q(b) = -10 + 6*b**2 - 13*b**2 + 7*b + 8*b**2. Let d be q(-8). Calculate the remainder when 6 is divided by y(d).
1
Suppose 47 = g + 3*n, -n = 3*g + 4*n - 121. Let k = -14 + g. Let m = 15 - 8. What is the remainder when k is divided by m?
4
Suppose 1256 + 0 = 8*w. What is the remainder when w is divided by 8?
5
Suppose 3*c = 5*n + 99, 3*c + 4*n - 63 = 9. What is the remainder when 80 is divided by c?
24
Let f = -400 - -428. What is the remainder when 86 is divided by f?
2
Suppose 3*n - 3*v = 9, 2*n - 5*v - 9 = -n. Suppose o = 6 - n, -125 = -5*w + 5*o. Let h = 233 - 222. Calculate the remainder when w is divided by h.
6
Let b be 2/(-7) - (216/(-21) + 3). Let o(d) = d**3 - 10*d**2 + 22*d. What is the remainder when 18 is divided by o(b)?
4
Let r be 90/8 + (-7)/28 - 3. Suppose d - 4*v + r - 42 = 0, -5*d - 4*v + 122 = 0. Let i(b) = b**2 - 4*b + 5. Calculate the remainder when i(-5) is divided by d.
24
Let q(a) = -a**3 - a**2 - 3*a + 1. Let n be q(-3). Suppose 2*s + n = 4*j, 3*s = 2*j - s - 26. Calculate the remainder when 19 is divided by j.
4
Let m(n) = -n**3 + 31*n**2 + 33*n - 18. Let x be m(32). Suppose s + x = 2*h - 23, s = -2*h + 35. What is the remainder when 35 is divided by h?
17
What is the remainder when (496/(-48))/((-3)/(3 + 6)) is divided by 11?
9
Let m be -2 + 2 + -2 + 4. Suppose -11*k = -m*k - 90. What is the remainder when k is divided by 4?
2
Let a = -69 + 80. Calculate the remainder when 25 is divided by a.
3
Suppose -p + 23 = 17. Let v(t) = -t**2 + 5*t + 2. Let i be v(p). Calculate the remainder when 58 is divided by 12/i - (-1 + -12).
8
Suppose -2*t - 2*u = -20, 186*u - 181*u - 1 = 2*t. Calculate the remainder when -36*2*1/(-3) is divided by t.
3
Let p = 21 + 137. Let q(z) = -z + 56. What is the remainder when p is divided by q(24)?
30
Let m = -1006 - -1150. What is the remainder when m is divided by 77?
67
Suppose -4*m = -4*y + 48, -2*y - 6*m + 5*m = -18. Calculate the remainder when 24 is divided by y.
4
Let r(p) = -2*p**3 - 2*p**2 - p + 2. Let v be r(1). Suppose 0 = -0*h - h + 25. What is the remainder when h is divided by 10 + (3 - (3 - v))?
4
Let h(w) = -2*w**3 - w**2 + 1. Let d(c) = 3*c**3 + c - 2. Let q(r) = -3*d(r) - 4*h(r). What is the remainder when 20 is divided by q(1)?
0
Let m = -915 + 1229. Calculate the remainder when m is divided by 7.
6
Calculate the remainder when (1 - 24/15)*-15 is divided by 7.
2
Let q = 154 + -19. Suppose -2*u = 6, 0 = -2*a - u + 36 + q. Calculate the remainder when a is divided by 44.
43
Let y(i) = 8* | {
"pile_set_name": "DM Mathematics"
} |
)
Factor -4*h**3 - 64*h**2 + 135340*h - 8895272.
-4*(h - 101)**2*(h + 218)
Let w**3/3 - 12019*w**2/3 + 168119*w/3 - 588245/3 = 0. Calculate w.
7, 12005
Suppose -2*v**5/21 + 404*v**4/21 + 3310*v**3/21 - 81560*v**2/21 + 273752*v/21 - 254144/21 = 0. Calculate v.
-19, 2, 8, 209
Suppose -2*s**5/5 - 3452*s**4 - 189654*s**3/5 - 310284*s**2/5 = 0. What is s?
-8619, -9, -2, 0
Determine u, given that -4*u**5/9 + 784013*u**4/3 - 461007876134*u**3/9 + 30119872751164180*u**2/9 - 2509947777372006*u - 7529881749292027/9 = 0.
-1/4, 1, 196003
Determine s, given that -27*s**4/2 + 141*s**3 + 2333*s**2/2 + 556*s - 320 = 0.
-5, -8/9, 1/3, 16
What is h in -33*h**2 - 77193*h - 14034 = 0?
-2339, -2/11
Find g, given that -6*g**3/7 + 13172*g**2/7 + 35160*g/7 + 2512 = 0.
-2, -2/3, 2198
Find y such that 2*y**2/11 + 3294*y/11 + 3292/11 = 0.
-1646, -1
Solve -4*q**2/7 + 4080*q/7 + 21100 = 0.
-35, 1055
Find s such that 2*s**4/3 - 710*s**3/9 + 21602*s**2/9 - 27214*s/3 + 2760 = 0.
1/3, 4, 45, 69
Let -35*k**2 - 5580*k + 44255 = 0. What is k?
-167, 53/7
Solve 45*f**5 - 1326*f**4 - 8322*f**3 - 13596*f**2 - 5547*f - 630 = 0.
-3, -2, -1/3, -1/5, 35
Find d such that d**5 + 7*d**4 - 259*d**3 + 713*d**2 - 462*d = 0.
-21, 0, 1, 2, 11
Factor 3*m**2/4 - 201*m/2 - 45333/4.
3*(m - 207)*(m + 73)/4
Factor j**3/9 - 320*j**2/9 + 953*j/9 - 634/9.
(j - 317)*(j - 2)*(j - 1)/9
Suppose 18*c**5 + 480*c**4 - 16246*c**3 - 10988*c**2 - 1840*c = 0. Calculate c.
-46, -1/3, 0, 20
Factor c**4/5 + 25456*c**3/5 + 161925598*c**2/5 - 972241008*c/5 + 1458705249/5.
(c - 3)**2*(c + 12731)**2/5
Determine n so that 2*n**5 - 1552*n**4 + 301062*n**3 + 20152*n**2 - 3895520*n - 3613056 = 0.
-3, -1, 4, 388
Solve -2*q**5 + 82*q**4 + 1144*q**3 = 0.
-11, 0, 52
Factor -4*m**3 + 232*m**2 + 512*m - 1920.
-4*(m - 60)*(m - 2)*(m + 4)
Suppose z**5/2 - 20*z**4 + 298*z**3 - 2017*z**2 + 12027*z/2 - 6435 = 0. Calculate z.
3, 10, 11, 13
Suppose p**3/5 + 248*p**2/5 + 20501*p/5 + 564898/5 = 0. Calculate p.
-83, -82
Solve -93*k**5 - 1259*k**4 - 3959*k**3 + 2051*k**2 - 196*k = 0 for k.
-7, 0, 4/31, 1/3
Find s, given that -32*s**4 + 156400*s**3 - 78152*s**2 - 195468*s - 58644 = 0.
-1/2, 3/2, 4887
Factor 3*w**2 - 5955*w - 5958.
3*(w - 1986)*(w + 1)
Suppose 3*q**2 + 2501016*q + 521256752688 = 0. Calculate q.
-416836
What is w in -147*w**4 - 3182172*w**3 - 17220551052*w**2 + 9841094208*w - 1405907712 = 0?
-10824, 2/7
Factor 2*m**3/7 - 3590*m**2/7 - 8*m/7 + 14360/7.
2*(m - 1795)*(m - 2)*(m + 2)/7
Find s, given that -2*s**2/11 + 24884*s/11 + 124470/11 = 0.
-5, 12447
Factor 4*p**3/9 + 536*p**2/9 + 9520*p/9 + 15200/3.
4*(p + 10)**2*(p + 114)/9
Solve f**5/4 + 7*f**4 - 115*f**3/2 + 128*f**2 - 451*f/4 + 35 = 0 for f.
-35, 1, 4
Factor 39*w**2 + 4951*w - 254.
(w + 127)*(39*w - 2)
Factor -2*g**4 - 78*g**3 - 634*g**2 + 2478*g - 1764.
-2*(g - 2)*(g - 1)*(g + 21)**2
Factor 75*x**3 + 141060*x**2 + 394527*x + 276066.
3*(x + 1878)*(5*x + 7)**2
Suppose -5*i**2 + 12740*i - 526260 = 0. What is i?
42, 2506
Let -4*b**3 + 396*b**2 - 3516*b - 3916 = 0. What is b?
-1, 11, 89
Determine v, given that -2*v**4 - 14*v**3 + 708*v**2 - 4480*v + 8000 = 0.
-25, 4, 10
Factor 10*f**2 - 16634*f - 9984.
2*(f - 1664)*(5*f + 3)
Determine a so that 22*a**5/13 - 91010*a**4/13 - 107804*a**3/13 + 893944*a**2/13 - 562736*a/13 - 132416/13 = 0.
-4, -2/11, 1, 2, 4138
Factor -2*v**4 + 66*v**3 - 698*v**2 + 2814*v - 3332.
-2*(v - 17)*(v - 7)**2*(v - 2)
Find v, given that v**3/4 - 27*v**2/4 - 829*v + 3408 = 0.
-48, 4, 71
Determine c so that -2*c**4 + 114268*c**3 - 342792*c**2 + 342788*c - 114262 = 0.
1, 57131
Factor g**2/4 + 35313*g + 1247007969.
(g + 70626)**2/4
Find r, given that r**3/7 + 362*r**2/7 - 1460*r/7 + 1464/7 = 0.
-366, 2
Find a, given that 3*a**4 + 2238*a**3 + 4443*a**2 - 15612*a + 8928 = 0.
-744, -4, 1
Let -10*o**3 - 715*o**2 - 9825*o - 20250 = 0. What is o?
-54, -15, -5/2
Determine b so that b**2 - 1228*b - 12380 = 0.
-10, 1238
Solve -a**3/2 - 203*a**2 + 9295*a/2 - 25894 = 0 for a.
-428, 11
Factor -5*o**4 + 3300*o**3 - 3295*o**2.
-5*o**2*(o - 659)*(o - 1)
Solve r**5 - 74*r**4 - 635*r**3 - 1704*r**2 - 1476*r = 0 for r.
-3, -2, 0, 82
Suppose -10*q**5/13 + 2576*q**4/13 - 9186*q**3/13 + 10684*q**2/13 - 4064*q/13 = 0. What is q?
0, 1, 8/5, 254
Factor 2*v**4/5 - 136*v**3/5 + 618*v**2/5 + 756*v/5.
2*v*(v - 63)*(v - 6)*(v + 1)/5
What is g in -5*g**4 + 45*g**3 - 100*g**2 = 0?
0, 4, 5
Find s, given that 4*s**4/7 + 88*s**3/7 + 368*s**2/7 - 352*s/7 - 1536/7 = 0.
-16, -6, -2, 2
Factor 3*q**3/4 - 183*q**2/2 + 2352*q - 17280.
3*(q - 90)*(q - 16)**2/4
What is l in -2*l**4/7 - 112*l**3 - 2334*l**2/7 + 8*l/7 + 3112/7 = 0?
-389, -2, 1
Suppose 4*i**4 - 4716*i**3 - 23648*i**2 - 37872*i - 18944 = 0. What is i?
-2, -1, 1184
Determine p, given that 2*p**3 + 562*p**2/3 - 576*p + 1160/3 = 0.
-290/3, 1, 2
Find l, given that 9*l**4 + 2555*l**3/4 + 4895*l**2/4 - 70*l - 69 = 0.
-69, -2, -2/9, 1/4
Suppose -189*z**5 + 12570*z**4 + 19356*z**3 - 12264*z**2 + 1632*z = 0. Calculate z.
-2, 0, 2/9, 2/7, 68
Factor -3*s**2 + 22419*s - 22416.
-3*(s - 7472)*(s - 1)
Find o, given that -5*o**2 - 1187580*o - 70517312820 = 0.
-118758
Find o such that -3*o**5/2 - 225*o**4/2 - 1074*o**3 + 18978*o**2 - 69552*o + 73632 = 0.
-59, -26, 2, 4
Factor -13*p**2/3 + 285868*p/3 + 14660.
-(p - 21990)*(13*p + 2)/3
Determine g so that 5*g**3 + 26305*g**2 + 78880*g + 52580 = 0.
-5258, -2, -1
Find z, given that 280*z**3/3 - 125*z**2 - 2740*z/3 - 320 = 0.
-16/7, -3/8, 4
What is x in 8*x**5/5 - 6754*x**4/5 + 1419592*x**3/5 + 500324*x**2 + 717408*x/5 - 357858/5 = 0?
-1, 1/4, 423
Determine g, given that -2*g**3 - 735486*g**2 - 67617824766*g - 67617089282 = 0.
-183871, -1
Solve -2*u**2/9 + 1366*u/9 - 8840/3 = 0.
20, 663
Solve 4*z**4 + 1896*z**3 + 14992*z**2 + 37344*z + 29824 = 0 for z.
-466, -4, -2
Find y, given that 2*y**2 - 1258*y - 53520 = 0.
-40, 669
Factor 5*w**3 - 310*w**2 + 4925*w - 4620.
5*(w - 33)*(w - 28)*(w - 1)
Solve 2*i**4/11 + 8*i**3 - 650*i**2/11 - 2536*i/11 - 1800/11 = 0 for i.
-50, -2, -1, 9
Suppose -2*y**5/3 - 94*y**4/3 - 46*y**3/3 + 2110*y**2/3 - 152*y - 2760 = 0. Calculate y.
-46, -5, -2, 3
Factor -m**3/7 - 121*m**2 - 844*m/7 + 1692/7.
-(m - 1)*(m + 2)*(m + 846)/7
Factor p**3 + 690*p**2 - 2149*p - 48510.
(p - 10)*(p + 7)*(p + 693)
Factor -p**2 + 14917*p + 328658.
-(p - 14939)*(p + 22)
Factor 4*a**2 - 6156*a - 68200.
4*(a - 1550)*(a + 11)
What is u in -20*u**5 - 1028*u**4 - 11748*u**3 + 39204*u**2 + 17496*u = 0?
-27, -2/5, 0, 3
Suppose -5*r**5 - 1045*r**4 - 13025*r**3 - 56335*r**2 - 93350*r - 49000 = 0. Calculate r.
-196, -5, -2, -1
Factor 2*x**2/5 + 9348*x/5 - 28062/5.
2*(x - 3)*(x + 4677)/5
Let -3*c**4/5 + 48306*c**3/5 - 289743*c**2/5 + 48288*c = 0. Calculate c.
0, 1, 5, 16096
Find b such that -27*b**5/5 - 1872*b**4/5 - 19011*b**3/5 - 75498*b**2/5 - 131604*b/5 - 84216/5 = 0.
-58, -11/3, -2
Find q such that -5*q**3 - 365*q**2 + 14790*q = 0.
-102, 0, 29
Suppose -4*w**4 + 298644*w**3 - 5574414240*w**2 + 5574115600*w = 0. Calculate w.
0, 1, 37330
Factor 249*q**2 + 798*q.
3*q*(83*q + 266)
Factor -v**3/3 + 13*v**2/3 + 368*v/3 - 260.
-(v - 26)*(v - 2)*(v + 15)/3
Factor 35*v**2 + 137695*v + 19670.
5*(v + 3934)*(7*v + 1)
Suppose -3*d**5/5 - 48*d**4/5 + 393*d**3/5 + 3318*d**2/5 + 1056*d + 480 = 0. What is d?
-20, -4, -1, 10
Determine x, given that 3*x**5 + 2316*x**4 + 451575*x**3 + 1762506*x**2 - 1368576*x - 7962624 = 0.
-384, -3, 2
Factor -3*h**4 - 48*h**3 - 60*h**2 + 912*h - 1152.
-3*(h - 2)**2*(h + 8)*(h + 12)
Factor -5*z**3/6 + 39605*z**2/2 - 117631800*z - 352954810/3.
-5*(z - 11882)**2*(z + 1)/6
Factor 3*p**3 + 387*p**2 - 16011*p - 89355.
3*(p - 37)*(p + 5)*(p + 161)
Factor -2*j**2 + 1632*j - 3256.
-2*(j - 814)*(j - 2)
Find h such that -h**5/2 - 64*h**4 + 8879*h**3/2 + 545475*h**2 - 5754150*h + 14620500 = 0.
-114, 5, 90
Find s such that 2*s**4/3 + 39160*s**3/3 = 0.
-19580, 0
Let 4*y**3 + 330*y**2 + 482*y - 324 = 0. Calculate y.
-81, -2, 1/2
Factor -2*z**3/11 + 114*z**2 + 2516*z/11.
-2*z*(z - 629)*(z + 2)/11
Factor -30921248*t**2/5 + 15728*t/5 - 2/5.
-2*(3932*t - 1)**2/5
Determine l, given that 5*l**3 + 2280*l**2 - 30425*l + 28140 = 0.
-469, 1, 12
Factor -2*j**5/7 - 1412*j**4/7 + 1218*j**3 - 12816*j**2/7.
-2*j**2*(j - 3)**2*(j + 712)/7
Factor 3*b**2/7 - 11097*b/7 + 11094/7.
3*(b - 3698)*(b - 1)/7
Let 25*f**5/8 - 7045*f**4/8 | {
"pile_set_name": "DM Mathematics"
} |
et r be s(4). Let x = r + 70. What is the remainder when d is divided by x?
21
Let w = 59 - 13. What is the remainder when w is divided by 4?
2
Let b = -16 + 27. Let n = -71 + 102. What is the remainder when n is divided by b?
9
Suppose t - 4*t + 48 = 0. What is the remainder when 46 is divided by t?
14
Suppose -4*j + 16 = -8*j, -2*j - 56 = -4*h. Suppose 0 = -5*p + 3*p + h. What is the remainder when 10 is divided by p/9*(6 + 0)?
2
Let a(u) = 4*u**2 - 4*u + 4. What is the remainder when a(3) is divided by 6?
4
Let g(c) = c**3 - 6*c**2 + 9*c - 2. Let y(w) = 18*w**3 - w**2 + 1. Let h = 3 - 2. Calculate the remainder when g(6) is divided by y(h).
16
Let n(d) = d**3 - 16*d**2 + 18*d - 3. Calculate the remainder when n(15) is divided by 15.
12
Let h(n) = n**2 - 2*n - 6. Calculate the remainder when h(-6) is divided by 22.
20
Suppose -2*z - 64 = -3*z. Calculate the remainder when z is divided by 22.
20
Let s(n) = n**3 - 9*n**2 + 10*n + 11. What is the remainder when s(8) is divided by 10?
7
What is the remainder when 12/(-54) - (-958)/18 is divided by 28?
25
Calculate the remainder when 3*1 - 768/(-16) is divided by 27.
24
Let c(y) = -y**3 + 5*y**2 + 3*y - 2. Let b(x) = x**2 + 5*x**2 - 4*x**2 + 2 + 8*x - 3*x. Let k be b(-3). Calculate the remainder when 23 is divided by c(k).
10
Let k be ((-12)/(-8))/((-2)/(-4)). Suppose 3*z + k - 12 = 0. Calculate the remainder when 2 is divided by 1 - 2 - z/(-1).
0
Let y be (-144)/10 + 4/10. Let z = 19 - y. What is the remainder when z is divided by 9?
6
Suppose -2*f = 4*m - 140, -f - m + 2*m = -70. Calculate the remainder when f is divided by 18.
16
Suppose 6*c - c - 60 = -5*v, -3*v = -4*c + 34. Suppose -2*u + c = -2. Calculate the remainder when 10 is divided by u.
4
Suppose -6 = -2*g + y - 2*y, -5*y = -g - 8. Let i be (-2)/8 + (-377)/(-52). Let k = -5 + i. Calculate the remainder when k is divided by g.
0
Let t = 111 - 41. Calculate the remainder when t is divided by 24.
22
Let z(u) = u**3 + 4*u**2 - 8*u - 3. Let n = 95 - 61. What is the remainder when n is divided by z(-5)?
10
Suppose r - 5*w = 79, -2*w - w + 3 = 0. Suppose -r = -4*a + 16. What is the remainder when 98 is divided by a?
23
Let t = -5 - -23. Let j(i) = i**2 + 7*i - 1. Calculate the remainder when j(-8) is divided by 4/t - (-25)/9.
1
Suppose 0 = n - 2 - 2, f + n - 74 = 0. Let b(k) = 5*k**2 - k. Let q be b(-1). What is the remainder when f is divided by 186/8 - q/(-8)?
22
Let p(a) = -2*a - 3. What is the remainder when 37 is divided by p(-11)?
18
Let p = -74 + 115. Suppose 3*h - 7*h + 2*b = -94, -3*b - 9 = 0. What is the remainder when p is divided by h?
19
Let n(g) = 4*g**3 - 4*g**2 - 4*g + 6. Let o(j) = -11*j**3 + 13*j**2 + 13*j - 18. Let k(b) = -8*n(b) - 3*o(b). What is the remainder when k(8) is divided by 3?
2
Let l(m) = -2*m**2 + 35*m - 6. What is the remainder when 17 is divided by l(17)?
6
Let m = 0 + -1. Let s(h) = -13*h**3 + h**2 + h. What is the remainder when 37 is divided by s(m)?
11
Calculate the remainder when 14 is divided by ((-6)/(-9))/((-1)/(-3))*2.
2
Suppose -2*b - 3*b = v + 16, -2*b = 3*v - 4. Let d = 26 + b. Suppose 2*j - d = -0*j + i, 4*i = 5*j - 55. Calculate the remainder when j is divided by 4.
3
Let j be 18/(-4)*(-4)/3. Suppose 0 = -h + 11 + j. Let r = -118 - -167. Calculate the remainder when r is divided by h.
15
Suppose -l = -0*l + 3*s - 48, -5*s - 10 = 0. Calculate the remainder when l is divided by 14.
12
Let r = -7 - -9. Suppose -2*v = r*v - 4, -v - 12 = -w. What is the remainder when 25 is divided by w?
12
Let m(h) = -h**2 + 5*h + 1. Let v be m(4). Suppose z = v*z. Calculate the remainder when z - 2 - 25/(-1) is divided by 12.
11
Let h(s) = s**2 + 3*s**2 - 4*s + s**3 - 2 + 4*s - 2*s. What is the remainder when h(-3) is divided by 4?
1
Let i = 52 + -31. What is the remainder when i is divided by 11?
10
Let g(n) = n**2 - 4*n + 4. Let i be g(4). Suppose 18 - 2 = -4*o, i*j + 5*o - 28 = 0. Calculate the remainder when 35 is divided by j.
11
Let y = 13 + -6. Let k = y + -4. What is the remainder when 35 is divided by k/(-9) - 37/(-3)?
11
Let d = 2 + 3. Suppose 0*l + 3*u = 2*l - 5, 5*u + 20 = d*l. What is the remainder when l is divided by 4?
3
Suppose 5*n = -2*x - 1, 4*x - 8 = -3*n - 3. What is the remainder when -3 + x - (-55 - -1) is divided by 18?
17
Suppose 0 = -2*n + 2, -3*f + 2*n + 18 + 43 = 0. Let y = f + -2. What is the remainder when 35 is divided by y?
16
Let f = 245 + -167. Calculate the remainder when f is divided by 20.
18
Suppose 0 = 4*k + 5*i - 31, -k - k + 33 = -i. What is the remainder when 67 is divided by k?
11
Let c = -3 + 4. Suppose -b + c = -3*q - 23, q + 32 = 3*b. Suppose 3*j - b = 33. Calculate the remainder when j is divided by 8.
6
Suppose -3*o + 10 = 2*o, 3*q - 4*o - 88 = 0. Suppose 3*p - 35 = -c - c, -2*p + 24 = 2*c. What is the remainder when q is divided by p?
10
Let a = -5 - -41. Calculate the remainder when a is divided by 13.
10
Let o = 35 + 0. Let t = -23 + o. What is the remainder when t is divided by 7?
5
Suppose -758 = -5*d - m, -d - 6*m + 2*m = -144. Let i = d + -76. Suppose -q = -3*w - 2*q + i, 3*w - 5*q = 70. What is the remainder when w is divided by 9?
7
Let f = -7 - -11. What is the remainder when 15 is divided by f?
3
Let r = -132 - -157. Calculate the remainder when 123 is divided by r.
23
Let o(h) = h**2 + h + 6. What is the remainder when 23 is divided by o(3)?
5
Let o = 14 - 23. Calculate the remainder when ((-6)/o)/(1/15) is divided by 3.
1
Let a = -6 - -5. Suppose -2*v - 14 = -2*u - 52, -2*u + 116 = 5*v. What is the remainder when 63 + (-1 - -2 - a) is divided by v?
21
Suppose 0 = -7*q + 8*q - 13. What is the remainder when (-69)/(-9)*(3 - 0) is divided by q?
10
What is the remainder when 7 is divided by (0 + 3)*(-3 + 4)?
1
Let x(i) = 2*i**3 - 4*i**2 + 3*i. Calculate the remainder when (-106)/(-10) + 90/(-150) is divided by x(2).
4
Let n(u) = 24*u**2 - 2*u + 1. Let l be 4/10 - (-3)/5. What is the remainder when 91 is divided by n(l)?
22
Let c(a) = -a**3 - 5*a**2 - 4*a + 4. Let p be c(-4). Suppose 3*h - 8*h - z + 169 = 0, p*h - 140 = -2*z. Calculate the remainder when h is divided by 12.
9
Let z = 44 + 18. What is the remainder when z is divided by 13?
10
Let t(j) = j**3 - 5*j**2 + 5*j - 7. Calculate the remainder when 70 is divided by t(5).
16
Let p(v) = v**2 + 4. Let s be p(4). Let z = -8 + s. Let n(j) = -j**2 - j + 7. Calculate the remainder when z is divided by n(0).
5
Let q(k) = 15*k**2 + k - 1. Let c = -5 + 6. Calculate the remainder when 43 is divided by q(c).
13
Suppose 2*l = -2*l - 2*c + 292, -3*l + 3*c = -210. Suppose j = -2*j + 75. What is the remainder when l is divided by j?
22
Suppose -2*a + 2*u - 10 = -0*a, 3*a = -3*u - 39. Let l = 22 - a. Calculate the remainder when l is divided by 11.
9
Let k = 45 + -37. What is the remainder when 29 is divided by k?
5
Suppose -13*p + 210 = -700. Calculate the remainder when p is divided by 6.
4
Let v = 25 - -3. Let w(a) = a**3 + a**2 + 5. Let o be w(0). Let b = 20 - o. Calculate the remainder when v is divided by b.
13
Suppose 0 = -0*v - 2*v + 16. Suppose -41 = -5*i + 29. Calculate the remainder when i is divided by v.
6
Suppose 10*o + 2 = 502. What is the remainder when 99 is divided by o?
49
Suppose 5*a + 52 = 4*u - 0*u, -4*a = u + 8. Calculate the remainder when 21 is divided by u.
5
What is the remainder when 34 is divided by ((-48)/(-14))/(8/56)?
10
Let w = 17 + -10. Suppose -l + 0*a + a + 11 = 0, 5*a + 5 = 0. Calculate the remainder when l/(-1 + (-3)/(-2)) is divided by w.
6
Let v = -14 - -16. Calculate the remainder when 57/v*40/15 is divided by 11.
10
Suppose 0*w + 4*w - 16 = 0. What is the remainder when 14 is divided by w?
2
Let t(i) be the second derivative of -5*i**3/3 - 7*i**2/2 - 3*i. Suppose -5 + 29 = 3*h. Calculate the remainder when t(-3) is divided by h.
7
Let s(n) = n**2 - 3*n + 3. Let b be s(3). Let q(w) = 10*w - 3. Calculate the remainder when q(b) is divided by 10.
7
Let x be 4/10 - 676/(-10). Let l = -42 + x. Let m(q) = -q**3 - 2*q**2 - q + 2. Calculate the remainder when l is divided by m(-3).
12
Suppose -4 + 7 = p. Let n = 10 + 1. What is the remainder when n is divided by p?
2
Suppose 3*w - 19 = 35. Let k(b) = 4*b**2 + 2*b + 4. What is the remainder when k(-3) is divided by w?
16
Let h(s) | {
"pile_set_name": "DM Mathematics"
} |
31*z**3 - 7*z**2 - 7*z. Let o(n) be the first derivative of -15*n**4/4 + 4*n**3/3 + 2*n**2 - 1503. What is 4*a(v) + 7*o(v)?
19*v**3
Let w(m) = 2 - 49*m + 16*m + 18*m + 17*m - 17*m**3 + 36*m**3. Let p(n) = -20*n**3 + n**2 - 2*n - 3. Calculate -2*p(z) - 3*w(z).
-17*z**3 - 2*z**2 - 2*z
Let v(d) = -4*d**3 - 1448*d**2 - d + 2. Let y(g) = -5*g**3 - 1449*g**2 - g + 3. Determine -3*v(s) + 2*y(s).
2*s**3 + 1446*s**2 + s
Let f(n) = -9*n**3 + n**2 - 5*n. Let b(i) = 5*i**3 - i**2 + 3*i. Suppose 149*c = 144*c + 15. Suppose c*v = -32 + 2. Let r = v - -7. Calculate r*f(a) - 5*b(a).
2*a**3 + 2*a**2
Let g(l) = l + 1. Let c(h) = 369 - 2*h - 1117 + 373 + 374. Determine -c(m) - 4*g(m).
-2*m - 3
Let s(z) = 4*z**2 + 5*z - 1. Let n(x) = x**2 + x + 4. What is -n(k) + s(k)?
3*k**2 + 4*k - 5
Let k(z) be the second derivative of z**4/6 - z**3/3 + z**2 + 1726*z. Let n(h) = -5*h**2 + 5*h - 5. Determine 14*k(f) + 6*n(f).
-2*f**2 + 2*f - 2
Let g(o) be the first derivative of 4*o - 160 - 1/2*o**2. Let x(m) be the first derivative of -m**2/2 + 7*m - 1. Give -7*g(f) + 4*x(f).
3*f
Let j(n) = 3*n**3 - 5*n**2 - 6*n - 6. Let m(g) = -4*g**2 - 18*g - 15. Let i be m(-9). Let v = i + 183. Let z(a) = -a**2 - a - 1. Determine v*z(w) - j(w).
-3*w**3 - w**2
Let t(z) = -1 - 3*z - 2*z + 4*z. Let u(k) = -2*k + 3. Suppose -94*y = 3*j - 95*y - 9, 19*j - 3*y - 47 = 0. What is j*t(o) + u(o)?
-4*o + 1
Let d(m) = 18230*m - 231. Let t(k) = 3646*k - 42. Calculate -2*d(z) + 11*t(z).
3646*z
Let k = 38 + -34. Let u(j) = -8*j**2 + 4. Let g(m) = 1. Let y(p) = -10*p - 591. Let l be y(-59). Give k*g(t) + l*u(t).
8*t**2
Let v(u) = 413*u**2 - 8*u. Let o(c) = -219300*c**2 + 4250*c. Calculate -4*o(y) - 2125*v(y).
-425*y**2
Let w(u) = -1. Let v(f) = 13596659 - 5*f + f - 13596660. Give v(m) + w(m).
-4*m - 2
Let o(j) = 2*j**3 + 7*j**2 + 4*j + 3. Let p = 10438 + -10447. Let v(g) = 8*g**3 + 28*g**2 + 17*g + 12. What is p*o(q) + 2*v(q)?
-2*q**3 - 7*q**2 - 2*q - 3
Suppose -10*f = -41*f + 186. Let p(w) = -10*w - 7. Let a(k) = -5*k - 3. Suppose -2*d + 112 = -10*d. What is d*a(q) + f*p(q)?
10*q
Let a(f) = -4*f**3 + 1. Suppose 0 = 9*s + 6*s - 540. Suppose -s = 2*i - 58. Let z(k) = 7*k**3 - 1. Calculate i*a(u) + 6*z(u).
-2*u**3 + 5
Let c(n) = -57*n**3 - 16*n**2 + 6*n + 2. Let p(x) = 51*x**3 + 14*x**2 - 4*x - 1. Determine -3*c(i) - 4*p(i).
-33*i**3 - 8*i**2 - 2*i - 2
Let b be 2*(1/(-2) + 3 + 3). Let i(l) = 7*l - 61. Let m(q) = -4*q + 31. Calculate b*m(k) + 6*i(k).
-2*k - 25
Let l(z) = 1607*z**3 - 2*z**2 - 2*z + 3. Let w(x) = -6427*x**3 + 9*x**2 + 9*x - 14. Determine 9*l(t) + 2*w(t).
1609*t**3 - 1
Let q(y) = -153*y - 34. Let l(t) = -22*t - 5. Suppose -2*z = -4*g + 16, -12 + 34 = 6*g - 4*z. Give g*q(m) - 34*l(m).
-17*m
Let n(h) = 654*h**3 - 7*h**2 + 5*h + 5. Let o(c) = 5*c**3 + c**2 - c - 1. Determine n(m) + 5*o(m).
679*m**3 - 2*m**2
Let u(z) = 99*z**2 - 3*z - 1. Let p(f) = -9*f**2 + f. Calculate 2*p(h) - u(h).
-117*h**2 + 5*h + 1
Let y(c) = 22*c**2 - 9*c + 2. Let p(q) = -86*q**2 + 35*q - 8. Let i(w) = -20*p(w) - 78*y(w). Let t(b) = -4*b**2 - 3*b - 5. Calculate -6*i(n) - 4*t(n).
-8*n**2 - 4
Let v(j) = -30*j**2 - 25*j. Let t(s) = -s**2 - 2. Let g(q) = -5*q**2 + q - 12. Let i = -224 + 230. Let b(a) = i*t(a) - g(a). What is 50*b(z) - 2*v(z)?
10*z**2
Let k(v) = 7*v**2 + 35*v - 35. Let l(t) = t - 1. Let r(g) = 134*g + 1101. Let z be r(-9). Give z*l(i) + 3*k(i).
21*i**2
Let d(n) = 2*n**3 + 4*n**2 - n + 11. Let s be (22 - (-1956)/(-84))*-7. Let v(b) = -4*b**3 - 9*b**2 + 3*b - 23. Calculate s*d(i) + 4*v(i).
2*i**3 + 3*i + 7
Let v(a) = -a**3 + 2*a**2 - a + 1. Let s(d) = -4*d**3 - 63*d**2 - d + 5. Calculate -s(i) + 2*v(i).
2*i**3 + 67*i**2 - i - 3
Let d(o) = -16*o + 33. Let m(v) = -19*v + 28. What is 6*d(f) - 5*m(f)?
-f + 58
Let r(w) be the first derivative of -18*w**2 + 17*w + 177. Let j(v) = 2*v**2 - 4*v - 14. Let l be j(-4). Let f(k) = -6*k + 3. What is l*f(m) - 6*r(m)?
12*m
Let t(u) = -u**2 - 3*u. Let l be ((-28)/35)/(88/(-55)). Let c(s) be the first derivative of -l*s**2 - 10 - s. What is 3*c(d) - t(d)?
d**2 - 3
Let g(q) = 1745*q - 100. Let v(x) = -871*x + 54. Determine -7*g(z) - 13*v(z).
-892*z - 2
Let k(y) = y**3 - 9*y**2 - 3*y**2 - 773*y + 773*y + 2*y**2. Let u(w) = w**3 - 9*w**2. What is 4*k(r) - 5*u(r)?
-r**3 + 5*r**2
Let y(q) = 3*q**2 - 4*q - 58. Let g(p) = 4*p**2 - 5*p - 58. Determine 4*g(b) - 5*y(b).
b**2 + 58
Let u(h) = -146*h - 27. Let s(g) = 175*g + 29. Calculate 2*s(o) + 3*u(o).
-88*o - 23
Let n(d) = 3*d + 24. Let r(g) = -5*g + 18. Give 9*n(w) + 4*r(w).
7*w + 288
Let l(p) = 15*p**3 - 81*p - 22. Let o(c) = 15*c**3 - 78*c - 24. Calculate 13*l(d) - 12*o(d).
15*d**3 - 117*d + 2
Let k(q) = -115*q + 4. Let y(v) = -103*v + 5. Determine -6*k(i) + 5*y(i).
175*i + 1
Suppose 0 = 3006*j - 3001*j + 30. Let d(f) = -17*f + 9. Let c(b) = -18*b + 12. Let q(u) = -4*c(u) + 5*d(u). Let t(v) = 7*v + 2. Calculate j*q(m) - 11*t(m).
m - 4
Let p(a) be the first derivative of 357*a**4/2 - 68*a**3/3 - 68*a + 5826. Let y(o) = -31*o**3 + 3*o**2 + 3. What is -3*p(u) - 68*y(u)?
-34*u**3
Let p(d) = -41*d**3 + d**2 + 2*d - 5. Let l(u) = -44*u**3 + u - 4. Determine 3*l(r) - 2*p(r).
-50*r**3 - 2*r**2 - r - 2
Let s(n) = -4903*n**2 - 11*n. Let o(g) = 1635*g**2 + 4*g. Calculate -11*o(y) - 4*s(y).
1627*y**2
Let l(p) = -20*p**3 + 29*p**2 - 5*p - 5. Let o(s) = -38*s**3 + 58*s**2 - 9*s - 9. Determine -9*l(z) + 5*o(z).
-10*z**3 + 29*z**2
Suppose 0 = -627*q + 653*q + 52. Let o(b) = -27*b**2 + 5*b. Let l(w) = 13*w**2 - 2*w + 1411 - 708 - 703. Give q*o(g) - 5*l(g).
-11*g**2
Let u(o) = o**3 + o - 1. Let m(l) be the second derivative of 3*l**5/20 + l**4/6 + 7*l**3/6 - 2*l**2 + 9*l - 47. What is m(d) - 4*u(d)?
-d**3 + 2*d**2 + 3*d
Let b(x) = 233*x**2 - 8*x + 7. Let q(a) = 230*a**2 - 7*a + 5. Give 6*b(s) - 7*q(s).
-212*s**2 + s + 7
Let b be 5 + 6/(-4) + 3 + 26/(-52). Let n(h) = 5*h**2 + 6*h + 5. Let s(l) be the second derivative of -5*l**4/12 - 5*l**3/6 - 2*l**2 + l. Give b*s(j) + 5*n(j).
-5*j**2 + 1
Let a(f) = f**2 - 6. Suppose 60*i = 165 - 105. Let d(l) = l - 1. Calculate i*a(p) - 2*d(p).
p**2 - 2*p - 4
Let r(t) = 3. Let z be (2/5)/(3/15). Let d(v) be the second derivative of -v**3/6 + 6*v**2 + 2664*v. Give z*d(b) - 9*r(b).
-2*b - 3
Let m = 204 + -75. Let l(r) = 138 - 267 + m - r. Let t(n) = 2*n**3 + n**2 - 3*n. Determine l(g) - t(g).
-2*g**3 - g**2 + 2*g
Let p(i) = -i**2 - i - 1. Let q(c) = c**2 - c + 11. Let y(f) = 5*f**2 + 29. Let o(t) = 2*q(t) - y(t). Give -o(b) + 4*p(b).
-b**2 - 2*b + 3
Let r(u) = 2*u**2 - 3. Suppose -188 = 4*i - 4*m, 4*m = -0*m + 12. Let w = i - -50. Let t(p) = -32*p**2 + 36*p**2 - 2 - 4. Calculate w*t(y) - 11*r(y).
2*y**2 - 3
Let k(u) = u**2 + 536*u + 1594. Let x be k(-3). Let n(h) = -3*h**3 + 2*h**2 + 5*h + 5. Let r(o) = -o**3 - o**2 + o + 1. Calculate x*r(c) + n(c).
2*c**3 + 7*c**2
Let j(q) = -155*q**2 - 21158*q. Let n(a) = -28*a**2 - 4231*a. Determine 2*j(v) - 11*n(v).
-2*v**2 + 4225*v
Let k(p) = -20*p**3 - 139*p**2 + 9*p + 15. Let o(u) = -9*u**3 - 70*u**2 + 4*u + 7. Give -6*k(h) + 13*o(h).
3*h**3 - 76*h**2 - 2*h + 1
Let i be (-91287)/459 + 2 + 108/(-51). Let k = i - -204. Let p(s) = -s - 1. Let x(h) = 6*h + 4. Determine k*p(d) + x(d).
d - 1
Let t(z) = 4874*z - 74. Let g(k) = 1624*k - 23. Calculate -16*g(n) + 5*t(n).
-1614*n - 2
Let j(v) = 9*v - 41. Let n(s) = 22*s - 102. Suppose -847 - 245 = -91*h. Determine h*j(f) - 5*n(f).
-2*f + 18
Let p(w) = -w - 2. Let z(u) = -5*u - 11. Let f be ((-15)/(-2) + -6)/((-42)/56). Determine f*z(y) + 11*p(y).
-y
Let m(s) = -s. Let w(j) = 390*j. Give 1950*m(b) + 6*w(b).
390*b
Let z(p) = -2*p + 11. Let t be 4 - (-76)/(-18) - (-49)/(-63). Let b(c) = -1. Give t*z(x) - 4*b(x).
2*x - 7
Let d(w) = w**2 - 13*w - 1. Let i(u) = 1959*u**2 + 63*u + 2. Give 5*d(r) + i(r).
1964*r**2 - 2*r - 3
Suppose 11*x = -0 + 33. Let i(n) = -13 - 57*n**3 + 41*n**3 + x + 6*n**2. Let s = 7 + -9. Let k(y) = 3*y**3 - y**2 + 2. Calculate s*i(h) - 11*k(h).
-h**3 - h**2 - 2
Let z(o) = -19*o + 6*o + 7*o + 5*o + 11. Let b be z(8). Let l(g) = 5*g**3 - 2 + 2*g**b + 11 + g**3. Let m(i) = i**3 + 1. Calculate -2*l(q) + 18*m(q).
2*q**3
Let x(k) = -53*k**2 + 5*k - 5. Let l(q) = -11*q**2 - 11*q - 9. Let o(a) = 42*a**2 + 54*a + 42. Let u(i) = 24*l(i) + 5*o(i). Give 5*u(f) - 6*x(f).
48*f**2
Let x(f) = -45*f + 295. Let n(m) = 29*m - 198. What is 8 | {
"pile_set_name": "DM Mathematics"
} |
-3)). Which is greater: 4/13 or b?
4/13
Let p = 5492/9 + -611. Which is greater: -2 or p?
p
Suppose -3*y + 49 - 13 = 0. Which is smaller: y or 11?
11
Let c be (2/4)/(8/16). Which is smaller: 6/5 or c?
c
Let v(t) = t**2 - 18*t + 24. Let h be 70/4 + (-15)/10. Let u be v(h). Which is bigger: -10 or u?
u
Let m(f) = 0*f + 3 + 2*f**3 - 2*f**2 + f + 5*f. Let n be m(-4). Let q = 1269/7 + n. Which is bigger: q or 0?
q
Let d(r) = -r + 4. Let v = -20 - -34. Let s = v - 9. Let h be d(s). Which is greater: h or -1/2?
-1/2
Suppose -4*s - s = 4*i - 11, 18 = 2*s + 5*i. Let g = 2 + s. Are -2/11 and g equal?
False
Let d be 21 + 3/(-2)*12/(-6). Is d bigger than 22?
True
Suppose 4*p - 4*z + 60 = 0, -4*p + 2*z - 28 - 24 = 0. Is -10 at least as big as p?
True
Let k be 2/(-8)*(-72)/15. Let z(x) = -2*x + 19. Let n be z(9). Which is smaller: k or n?
n
Suppose -7*k + 2*d - 20 = -3*k, -2*k = d + 14. Let l be (5*-1)/(3/k). Let q = l - 7. Is 3 >= q?
True
Suppose -30 = 4*v - 7*v. Suppose -14 = 4*w + v. Which is greater: w or -7?
w
Suppose -5*q + 6*q - 2 = 0. Suppose -q*m = -6*m. Is 1 > m?
True
Let y be 1*(0 + 0) + 84/(-30). Is -2 equal to y?
False
Let b = 7.054 + 0.046. Let p = -7 + b. Which is smaller: 5/4 or p?
p
Suppose 2*t + 597 = -5*y, 0 = y - t + 25 + 93. Let k = 1069/9 + y. Is 0 > k?
True
Suppose -5*f - 5*b = -3 - 2, -2*b + 1 = f. Which is smaller: -3/58 or f?
-3/58
Let p(o) = -2*o**2 - 4. Let u(l) = -l**2 - l - 5. Let g(m) = -2*p(m) + 3*u(m). Let w be g(5). Let k(v) = v - 2. Let y be k(3). Which is bigger: y or w?
w
Let o = 36.9 - 37. Is o at least -55?
True
Let y = 0 - -1. Let n(q) be the first derivative of 2*q**3/3 + q**2 - q + 6. Let r be n(y). Does r = 2?
False
Let r = 3/190 - 419/2470. Which is smaller: 1 or r?
r
Let k be (-1162)/15 + 8/12. Let u = k - -77. Suppose -5*g - 3*q - 2 = -0*q, 4*q - 1 = -3*g. Which is smaller: u or g?
g
Let m(j) = -j - 8. Let t be m(-5). Which is bigger: -2 or t?
-2
Let w be (-28)/21 + (-4)/6. Let p = w - -5. Suppose p*n - 3 - 3 = 0. Is n != 3?
True
Let q be 2/3*(-6)/(-2). Let p = 0.05 + -0.06. Let t = p - -0.11. Which is greater: t or q?
q
Let l(w) = -w**3 + 9*w**2 - w + 12. Let h be l(9). Let c = 5 - 2. Is c greater than h?
False
Let f = -34 - -53. Which is smaller: f or 20?
f
Let i(n) = n**3 - 4*n**2 - 6*n + 4. Let l be i(5). Is -7/3 at most as big as l?
True
Let n = -4.1 + 3.7. Which is smaller: n or -1/5?
n
Suppose -2*a + a - 5 = 0. Let y(v) = v**2 + 5*v + 2. Let d be y(a). Is d <= 0?
False
Let k(r) = -17*r + 3. Let l be k(4). Let z = 451/7 + l. Let i be 2/2 + 0 + -1. Is z at least i?
False
Let x(n) = n**2 - 4. Let u be x(3). Suppose -5*y + 0*q + 82 = -3*q, 34 = 3*y + 2*q. Suppose -u*m = -y - 6. Is 2 greater than m?
False
Let g = 1 + -3. Let k be g/(-6)*18/82. Let z = 103/287 - k. Which is greater: z or 1?
1
Suppose 2*a + 0*a = -u + 26, 3*u - 2*a - 94 = 0. Is u bigger than -2?
True
Let m be 1/(-2*18/201). Let h = 19/3 + m. Which is bigger: 1 or h?
1
Let x(d) = -d - 4. Let z be x(-5). Suppose -2*l = 1 + z. Suppose -7 + 15 = -4*j. Which is smaller: j or l?
j
Suppose -5*k - s - 26 = 0, -k + 6 = -2*k - s. Let u be (-15)/(k + 3 - -3). Let y be (-5)/u + (-1)/3. Is 1/4 smaller than y?
False
Let h = 6 - 7. Let d = h + -1. Let c be (3 + d)/((-2)/(-2)). Which is bigger: c or -2/5?
c
Let o(j) = -j**3 - 5*j**2 - 6*j. Let c be o(-4). Let d be (2/28)/((-2)/c). Which is smaller: d or 3?
d
Suppose 0 = 12*p + 8 + 16. Suppose 4*z + 5 = -r - 2, 3*z - 2*r = 3. Let y be (z - 0)*(4 - 0). Is y less than p?
True
Suppose 3*z = -z. Suppose o - 6*o = z. Is -4 equal to o?
False
Let k(f) = f - 8. Let j be k(6). Let o be (-3 - j - 2) + 0. Let u(c) = 2*c + 17. Let w be u(-9). Does w = o?
False
Suppose 3*t - 28 = 4*y, 2*t = -5*y - 16 - 19. Let r = y + 14. Is r > 8?
False
Suppose -20*f + 26*f - 6 = 0. Which is smaller: -2/121 or f?
-2/121
Let v = 44 - 68. Let g be ((-2)/(-4))/((-18)/v). Which is smaller: g or -3?
-3
Let r(s) = 2*s - 7. Let h be r(3). Is h at most 1/4?
True
Let g = 3 + -5. Let z = 8 + -8.06. Let a = z + -0.04. Which is greater: a or g?
a
Let y = -10 - -10. Let h = 3 + -3. Let i = 1 - h. Which is bigger: i or y?
i
Let y = -32 - -48. Do y and 17 have different values?
True
Let r be 620/(-36) - (-2)/9. Which is smaller: r or -18?
-18
Let o(l) = -2*l - 16. Let u be o(-11). Let p = -7 + u. Suppose i = 4*x + 16, 6*x = -2*i + 3*x - 12. Which is bigger: p or i?
i
Let t = -5 - -1. Which is greater: t or -2?
-2
Let r = 1 - 0. Let u be 70/(-22) - (2 + -5). Which is smaller: u or r?
u
Let x = -0.17 - -1.17. Is 0.03 > x?
False
Suppose 25 = -l + 6*s - s, 0 = l - 2*s + 13. Suppose -5 = t - 1. Which is smaller: t or l?
l
Let l be (4/5)/1*20/12. Is 0 > l?
False
Let r = 43 + -43.15. Is r greater than -0.1?
False
Let g = -4 + 6. Let l be (-3 + (g - 2))*-1. Is l < -0.2?
False
Let v = -311571990409187483/6706840 - -789749544448/17. Let t = -1/11272 - v. Let m = -101/5 + t. Is m < 0.2?
True
Let j(v) be the second derivative of -v**4/12 + v**3/2 - v**2/2 + 9*v. Suppose 0 = -0*b - 2*b + 4. Let r be j(b). Which is smaller: r or 2?
r
Suppose 27*i = 17*i + 30. Let l = 729/188 + -6/47. Is i > l?
False
Let s = -3 - -6. Suppose f = -2 + s. Which is bigger: f or 2?
2
Let q = 8 + -3. Which is smaller: 7/2 or q?
7/2
Let i(l) = -l**2 + 14*l + 5. Let w be i(15). Let v = -8 - w. Let y be 34/10 - 2/5. Which is greater: y or v?
y
Let l = -10.771 + -0.229. Let d = -68/3 + 23. Does l = d?
False
Suppose 0 = -11*b + 9*b. Which is greater: b or 1/3?
1/3
Let u be (2 - 2/(-2)) + -2. Is u > 1?
False
Let h be (2/3)/(-6*(-5)/45). Let b = -189/5126 - 2/233. Is h greater than b?
True
Let g be (2/(-1))/(-4)*0. Let n be 96/(-190) + 4/10. Are n and g unequal?
True
Let s be 3/(-2)*(-4)/(-3). Let t be s*1 + 24/8. Let c be (-1)/(6/4) + 1. Is t greater than or equal to c?
True
Let r(l) = -2*l - 55. Let h be r(-28). Which is smaller: h or 3?
h
Let l = 2 + -20. Let q = 13 + l. Let w = 3 + q. Is 0 bigger than w?
True
Suppose 4*t + 6*c - c = 1, 4 = -5*t - c. Let g = -17754/581 + 70/83. Let j = g - -30. Is t at most as big as j?
True
Suppose 10 = -4*x - x. Let n be (1*x - -5)/1. Let g(z) = 3*z**3 + 2*z**2 + z - 3. Let b be g(1). Is n smaller than b?
False
Let g = 1 - 0. Let y be g - ((3 - 0) + -2). Let l be 0*(-4 + y + 3). Which is smaller: -1 or l?
-1
Let z = -2.927 + -0.073. Is 3 != z?
True
Let p(o) = -o**2 - 7*o + 4. Let c be p(-6). Let z be 2/(-16) + c/40. Is 1 at least as big as z?
True
Suppose 0 = 3*s - 2*s - 4. Let b be 2/s*1/(-2). Let h be 3/9 - 1/(-6). Are b and h unequal?
True
Let m = -9.3 - -9. Let z = 0 + -0.4. Let y = z - m. Which is greater: y or 0?
0
Let o be 3*(20/(-15))/2. Which is bigger: o or 7?
7
Let i = 8 - 6. Is 12/7 greater than or equal to i?
False
Let a be (-38)/(-8) + (-3)/(-12). Suppose -o = -a*o - 4. Is -2 less than o?
True
Let o = -9 - -20. Is 0 greater than or equal to o?
False
Let r = 27 + -27. Let i be (-800)/410 + 2 + r. Which is smaller: i or 1?
i
Let d(u) be the first derivative of 2*u**3/3 + u**2/2 + u - 1. Let v be d(-1). Which is smaller: v or 2/7?
2/7
Let q be ((-36)/408)/(((-45)/(-12))/5). Do q and 0 have the same value?
False
Let m = 109/5 - 629/30. Are 0 and m unequal?
True
Let y(d) = d**3 + 5*d**2 + 4*d + 2. Let a(b) = -b - 10. Let m be a(-6). Let p be y(m). Suppose 2*s = -p*s + 12. Are 3 and s equal?
True
Let v = -90 - -82. Which is bigger: 1/2 or v?
1/2
Let f be 3/(6*2/4). Suppose -k - f = -5. Suppose 2*t - 8 = 3*p + p, -5*t = -2*p + k. Which is smaller: -4 or p?
-4
Let i be ((-18)/15)/((-4)/10). Suppose 0 = 4*q - i*a, -3*q + 4*a = q + 4. Which is smaller: q or 0?
0
Suppose v = -2*b - 2 + 4, b + 3*v - 11 = 0. Is -2/43 > b?
True
Let f = -2749/247 - -144/13. Is f at most as big as -1?
False
Let z = -1.1 + 0.9. Let p = 2 - 2. Let x = p - z. Is 1/5 greater than or equal to x?
True
Let s be 2 + (-2 - (-16)/4). Suppose 0 = -s*t - 7 - 9. Is t less than -4?
False
Suppose -4*f = -5*i + 23, 1 = 3*f - 2*i + 13. Let j be f/(-6) + 6/90. Which is greater: j or -1?
j
Let v = 39 + -40. Which is greater: v or -16/7?
v
Let r be (12/8)/((-1)/(-4)). Suppose 4*h - r = 2. Let v(i) = -i**3 + i**2 + 2*i. Let u be v(h). Which is smaller: u or -1?
-1
Let y(o) = -o**3 - 5*o**2 + 7*o + 5. Let a = -22 - -16. Let m be y(a). Which is smaller: m or 2?
m
Suppose 0 = n + n - 4*b - 14, 0 | {
"pile_set_name": "DM Mathematics"
} |
308. Is h a multiple of 34?
False
Is 20375630/2640 - (-3)/(-72) a multiple of 100?
False
Let y be (-860 + 1)*12/(-12). Suppose -y - 1185 = -7*p. Does 39 divide p?
False
Suppose -70 = 2*d + 2*b, -2*d + 5*b - 4*b = 85. Let t = d - -37. Does 4 divide ((-11)/t)/(7/21)?
False
Let l be (8 + 368)*((-42)/4)/7. Let m = 140 - l. Does 64 divide m?
True
Suppose 2*i = -3*u + 14, 0 = 3*i - 11 - 1. Suppose s - 3 = 5*d - 5, -u*d + 8 = -4*s. Suppose -5*j + d*j = -760. Is j a multiple of 14?
False
Suppose -f + 0 = 1, 3*w = f + 1. Suppose w = -7*z - 13*z + 560. Is 2 a factor of z?
True
Does 72 divide (112/(-20))/7 + 229041/45?
False
Is 57 a factor of (95 + -100 - -435*1) + 9?
False
Let p(z) = 229*z**3 - 2*z**2 + 4*z - 2. Let v be p(1). Let l = -56 + 59. Suppose -m + v = l*c, c - 4*c + 3*m + 213 = 0. Is c a multiple of 22?
False
Let k be (24/(-18))/(1/9). Let f(b) = -b - 4. Let c be f(k). Suppose c*y - 110 = 3*y. Is y a multiple of 13?
False
Suppose 0 = -5*i - d + 29, -i - 2*i + 2*d = -7. Suppose -2*u = u - m - 48, -i*u + 80 = -m. Is u a multiple of 14?
False
Suppose 3410 + 5630 = 2*p. Is p a multiple of 8?
True
Let q(x) = 191*x**3 + x - 2. Let s be (4 - 3) + 0 - 11. Let n = 11 + s. Is 38 a factor of q(n)?
True
Let v(s) = 7*s**3 + 29*s**2 - 13*s - 6. Is 65 a factor of v(8)?
True
Let o = -3931 + 581. Does 13 divide (o/(-150))/((-1)/(-3))?
False
Let l be 108/12*(-3 + 1)/(-2). Suppose -40*s + 1426 = -l*s. Is s a multiple of 2?
True
Let b(x) = 2 + 32*x + 32*x - 1. Is b(1) a multiple of 12?
False
Let k = 3535 - 970. Suppose -8*h + k + 1683 = 0. Is 32 a factor of h?
False
Is 86 a factor of 220004/36 + -4 + -1 + 34/(-153)?
True
Let l = 85 - 33. Let c = 246 + l. Does 12 divide (-4)/6 + c/6?
False
Is 9 a factor of 624811/632 + (-5)/8?
False
Suppose 4*l = 5*q - 0*q - 8103, -5*q = 5*l - 8085. Let v be -1*1/3 - (-148)/3. Suppose 10*c - q = -v. Is c a multiple of 19?
False
Suppose -7*o - 2282 = -9*o - c, -4*c + 1155 = o. Does 43 divide o?
False
Let o(c) = -2*c**2 - 17*c - 3. Let l be o(-8). Suppose l*n - 8*n + 24 = 0. Let s = 8 + n. Is s a multiple of 13?
False
Let m(l) = l**3 + 33*l**2 - 112*l + 38. Is m(-15) a multiple of 5?
False
Let u = -331 - -3069. Suppose 4774 = 24*l - u. Is l a multiple of 13?
False
Let f = 4147 - 1115. Suppose 6*v - 11*v + 4*h = -f, -4*v + h + 2430 = 0. Is v a multiple of 32?
True
Let n = -209 - -209. Does 32 divide -80*(-1 + 1 + n + -18)?
True
Let c = 341 - -4637. Is c a multiple of 19?
True
Let g(l) = 3*l**2 - l + 4. Let t = -59 + 48. Let k be t + 14 - (-8)/2. Does 36 divide g(k)?
True
Is 13 a factor of (0 + 2)*-1 + 10983/(-210)*-50?
True
Suppose -8*k - 114 = -14*k. Suppose -k*q + 8 = -15*q. Suppose -3*p = -q*p - 100. Is p a multiple of 25?
True
Suppose 19*q - 25*q = 12. Is 16 a factor of 8 + (109 - (7 + q))?
True
Let b(l) = 1073*l + 402. Is 38 a factor of b(6)?
True
Let a = 1090 - 596. Does 19 divide a?
True
Does 129 divide 0 + (514 - -2)*3?
True
Let o be (5 - 4/4) + -104. Let s = 296 + o. Is s a multiple of 14?
True
Let s = 3047 - 1347. Is 10 a factor of s?
True
Let r(m) = m**3 - 2*m**2 - 4. Let l be r(3). Suppose 705 + 205 = l*g. Let z = -87 + g. Is z a multiple of 19?
True
Suppose 0 = 11*m - 22896 - 3636. Suppose -x + 480 = a, -2*x = -7*x - a + m. Is x a multiple of 23?
True
Suppose 0 = -3*c + 406 + 593. Let q = c + -138. Let r = q - 76. Is 17 a factor of r?
True
Suppose 1280240 = -590*b + 694*b. Does 50 divide b?
False
Is 6/4*(-4 - (-120)/36) + 8893 a multiple of 12?
True
Does 96 divide 5*(-2 + (-1584)/(-10)) + -5?
False
Is 98 a factor of (-21)/(-2*(-36)/(-160944))?
True
Let u(i) be the third derivative of 7*i**4/8 + 458*i**3/3 + 38*i**2. Is u(0) a multiple of 15?
False
Let n be (-2)/(-2) - 2/2. Let x(w) be the first derivative of -w**2/2 + 92*w - 2146. Is 6 a factor of x(n)?
False
Let o be (-82)/4 - 16/(-32). Let k = 32 + o. Is 8/k*(-57)/(-1) a multiple of 21?
False
Suppose -5*l + 2*c - 4*c + 1 = 0, -5*c + 13 = 2*l. Let d(h) = h + 38. Let b(i) = i - 1. Let t(z) = l*d(z) - 6*b(z). Is t(-11) a multiple of 3?
True
Let b = -22501 + 31681. Is b a multiple of 12?
True
Is 5 a factor of 28452/24 - 27/(-6)?
True
Let s be 3 + (0 - -3)/(-3). Suppose -s*r + 44 = -196. Suppose 0 = 6*t - 2*t - r. Is t a multiple of 5?
True
Let t(w) = -w**2 - 9*w + 25. Let k be t(-11). Let s(c) = -27 + k*c + 0*c + 2*c. Is s(9) a multiple of 2?
True
Suppose 20*x - 31*x + 9515 = 0. Suppose -2*b + x + 555 = 0. Suppose 2 = 4*t + 22, -3*y - 2*t + b = 0. Is y a multiple of 15?
True
Suppose -31*d + 32*d - 4 = 0. Does 11 divide 491 - (23 - -5)/d?
True
Suppose 3768 - 328 = 4*h. Suppose -4*d + 0 = 5*y - h, 4*d - y = 836. Let o = d - 114. Is o a multiple of 12?
True
Let r(i) = 2*i**2 + 15*i + 10. Let n be r(-7). Let y = 0 + n. Suppose -4*h + y = -25. Does 6 divide h?
False
Let n(j) = 14*j**2 - 2*j + 4. Let l be n(3). Suppose 0 = 7*x + 24*x + 2015. Let o = x + l. Is o a multiple of 14?
False
Let o = -72 + 74. Suppose -o*h - 5*f + 211 = -h, 5*f + 5 = 0. Suppose -2*y - h = -11*y. Is 16 a factor of y?
False
Let q(m) = -m**3 - 6*m**2 - 6*m + 4. Let y be q(-5). Suppose -2527 = -6*x - 607. Suppose -y*d = -5*d - x. Is d a multiple of 20?
True
Suppose 1721 = 14*g - 8121. Let h = g - 395. Does 28 divide h?
True
Let v(m) = -m**3 - 10*m**2 + m + 7. Let l be 0/(-5) - (2 - (-2 - 6)). Let j be v(l). Does 2 divide (6/(-7))/j - 1672/(-77)?
True
Let a be (-1 + 41/4)/((-4)/48). Let g = a - -123. Does 6 divide g?
True
Let h = -24613 + 42395. Is 17 a factor of h?
True
Let b(x) = 1972*x - 4735. Is b(10) a multiple of 135?
True
Suppose -4*h - 17 = 3*d - 40, -h = -2*d + 8. Is 33 a factor of h/(-3) - 6688/(-24)?
False
Let s be 13310/45 + (-6)/(-27). Let a = s + -75. Is a a multiple of 7?
False
Suppose 0 = -5*f + 131 - 26. Let x = -20 + f. Is 24 a factor of x/5 - (-4193)/35?
True
Let p be (1/(-3)*5)/((-4)/12). Suppose -p*i - 2*i = -6*i. Suppose -2*m - 3*m + 1140 = i. Is m a multiple of 38?
True
Let x = -8254 + 14590. Does 16 divide x?
True
Let v(u) = 61*u**2. Let a be v(3). Suppose 0*d + 7*d - 2*w + 1524 = 3*d, -3*w = 0. Let l = a + d. Is 14 a factor of l?
True
Suppose -72 = -3*h - 60. Suppose -h*p = -86 - 26. Is 28 a factor of p?
True
Let l(o) = o**3 + 16*o**2 - 3*o - 20. Let y be l(-16). Let g(n) = n**2 - 27*n - 3. Let a be g(y). Let w = a + 19. Is 3 a factor of w?
False
Is 70/175 + 9176/10 + 0 a multiple of 2?
True
Suppose -3*b - r + 341 = 0, 0 = -4*b + r - 35 + 478. Is b a multiple of 11?
False
Suppose -14*m + 75777 = -68520 - 26741. Is m a multiple of 19?
True
Suppose 14*s = 2335 - 25. Suppose j - 6*j - 475 = 0. Let a = j + s. Does 14 divide a?
True
Let u(n) = 8*n**2 - 24*n + 96. Does 195 divide u(-18)?
True
Let x be (5 - 4) + (9 - (-1)/(-1)). Suppose x*z - 101 + 38 = 0. Suppose 5*i = -z + 482. Does 8 divide i?
False
Is 450 - -29 - 10/2 a multiple of 9?
False
Suppose 1302 + 1812 = 6*m. Suppose m = 8*n - 273. Does 11 divide n?
True
Let r = 36 - 33. Suppose -443 + 134 = -r*z. Suppose -h + 27 = -z. Is h a multiple of 48?
False
Suppose 43292*i + 704781 = 43325*i. Does 9 divide i?
True
Let x(i) = 3*i**2 - 2*i + 52. Let q(y) = -2*y**2 + y + 1. Let c(f) = -5*q(f) - x(f). Is c(-7) a multiple of 12?
False
Let r = -16941 + 36603. Is 174 a factor of r?
True
Let i be ((-3)/(-3))/((-4)/12). Let u(o) be the third derivative of o**6/120 + o**5/10 - o**4/8 + o**3/2 - 22*o**2. Is u(i) a multiple of 18?
False
Suppose 4182 + 4196 = 118*a. Is a even?
False
Does 88 divide ((-83)/(-3))/(841/648411)?
False
Let i = 66 - 57. Suppose -i*y + 7*y = -10. Suppose 0 = 3*a - 12, -y*k + k - a = -468. Does 29 divide k?
True
Suppose -5*m = -38 + 28. Suppose 30*t - 29*t - m*z = 118, t - 118 = 5*z. Is 3 a factor of t?
False
Suppose 0 = -36*w + 577280 - 68564. Does 69 divide w?
False
Let x(k) = -251*k + 102. Let r be x(-6). Suppose 5*t = z - 779, -2*z + 3*t = 57 - r. Is z a multiple of 86?
True
Let m = -3679 - -3639. Suppose -30 = 4*v - 270. Is ((-846)/4)/3*m/v a multiple of 21?
False
Does 92 divide (-41046252)/(-696) + (-6)/4 + -1?
True
Suppose 2*o - 10109 = 5*v, o = -21*v + 25*v + 5065. Is o a multiple of 63?
False
Let q(h) = -411*h - 1128. Does 62 divide q(-48)?
True
Let d be 1/((-124)/42 + 3). Suppose 3*a = -s - 24, -s + 3*a - d = 3*s. Is 13 a factor of s/((-36)/(-8)) + 132?
True
Let j(g) = g**3 + 6*g**2 - 7*g - 8. Let f be j(-6). Le | {
"pile_set_name": "DM Mathematics"
} |
ers picked without replacement from {m: 11, n: 3}. What is prob of sequence nnm?
11/364
Two letters picked without replacement from {m: 8, k: 2, x: 1, a: 4}. Give prob of sequence xk.
1/105
Calculate prob of sequence rw when two letters picked without replacement from {d: 1, q: 2, c: 1, h: 3, r: 3, w: 1}.
3/110
Calculate prob of sequence jj when two letters picked without replacement from {e: 6, j: 2}.
1/28
Two letters picked without replacement from {n: 1, i: 1, l: 2, p: 1}. Give prob of sequence np.
1/20
Calculate prob of sequence joo when three letters picked without replacement from ojooojozzjoooojooojo.
13/114
Three letters picked without replacement from {q: 10}. Give prob of sequence qqq.
1
Four letters picked without replacement from leqee. What is prob of sequence elee?
1/20
What is prob of sequence hzhz when four letters picked without replacement from {p: 3, h: 2, z: 4}?
1/126
Calculate prob of sequence hh when two letters picked without replacement from {h: 2, e: 1, w: 1}.
1/6
Four letters picked without replacement from wwwwxwwwwwxwwwwwxw. What is prob of sequence xxxw?
1/816
Calculate prob of sequence nn when two letters picked without replacement from {l: 5, n: 5}.
2/9
Calculate prob of sequence klnl when four letters picked without replacement from {l: 4, n: 2, k: 1, o: 1}.
1/70
Two letters picked without replacement from {u: 2, q: 1, l: 1, r: 2}. Give prob of sequence ul.
1/15
What is prob of sequence th when two letters picked without replacement from ovotth?
1/15
Two letters picked without replacement from ddbqddddqqdb. What is prob of sequence qb?
1/22
Three letters picked without replacement from {k: 4}. Give prob of sequence kkk.
1
Calculate prob of sequence aa when two letters picked without replacement from lllllllallllllllalll.
1/190
What is prob of sequence eeww when four letters picked without replacement from {e: 4, w: 16}?
8/323
Four letters picked without replacement from {w: 2, q: 1, r: 2, t: 1, y: 4, d: 2}. What is prob of sequence tqqy?
0
Calculate prob of sequence vjjj when four letters picked without replacement from vjvjvjjvjvjj.
35/396
Two letters picked without replacement from {g: 17, p: 1}. Give prob of sequence pg.
1/18
What is prob of sequence tp when two letters picked without replacement from {q: 1, p: 2, t: 1}?
1/6
Four letters picked without replacement from {a: 3, k: 7, g: 4, s: 4, t: 1, h: 1}. Give prob of sequence asta.
1/4845
What is prob of sequence ddhh when four letters picked without replacement from hddh?
1/6
Four letters picked without replacement from nnzqzzvsuquvzuvs. What is prob of sequence vusz?
3/1820
Two letters picked without replacement from kkkkgkkkkgkk. Give prob of sequence kk.
15/22
What is prob of sequence fdm when three letters picked without replacement from {n: 4, u: 1, d: 2, f: 2, m: 7, x: 1}?
7/1020
Two letters picked without replacement from bnqqqqqmmbmqqbmqbqq. What is prob of sequence bm?
8/171
Calculate prob of sequence pn when two letters picked without replacement from rptnq.
1/20
Calculate prob of sequence dd when two letters picked without replacement from {i: 1, d: 6, o: 4}.
3/11
Three letters picked without replacement from lmnjlnnmuwnnl. Give prob of sequence uwn.
5/1716
Three letters picked without replacement from {q: 1, t: 3, e: 3, w: 5}. Give prob of sequence ttw.
1/44
Calculate prob of sequence wi when two letters picked without replacement from bbewbbbbkwbabebbwieb.
3/380
Calculate prob of sequence ffff when four letters picked without replacement from {f: 4, l: 7}.
1/330
Four letters picked without replacement from {b: 4, m: 3, n: 2, d: 6}. What is prob of sequence nddn?
1/546
What is prob of sequence rwfu when four letters picked without replacement from wauwfflfuruwwwf?
1/546
What is prob of sequence ppb when three letters picked without replacement from ppzbuzuuzup?
1/165
What is prob of sequence svv when three letters picked without replacement from sgsppvvg?
1/84
Three letters picked without replacement from {k: 2, o: 3}. What is prob of sequence okk?
1/10
Four letters picked without replacement from {x: 3, d: 1, f: 1, v: 2}. Give prob of sequence fvvd.
1/420
Calculate prob of sequence coee when four letters picked without replacement from {c: 4, e: 2, p: 4, o: 1, m: 3}.
1/3003
Calculate prob of sequence flb when three letters picked without replacement from blsfssfffss.
2/495
Four letters picked without replacement from xdssddxstfs. What is prob of sequence xfst?
1/990
Calculate prob of sequence rrss when four letters picked without replacement from {r: 3, c: 2, s: 5}.
1/42
Two letters picked without replacement from {k: 8, w: 1, h: 1, z: 3, q: 6}. What is prob of sequence zw?
1/114
What is prob of sequence uc when two letters picked without replacement from btucbcbcbbubtg?
3/91
What is prob of sequence vj when two letters picked without replacement from vvvjvjjvvvvjvvvjvv?
65/306
Two letters picked without replacement from nnnnnnnjnnnnngnnj. Give prob of sequence jn.
7/68
Calculate prob of sequence ee when two letters picked without replacement from eellelll.
3/28
Two letters picked without replacement from kskakvz. What is prob of sequence av?
1/42
What is prob of sequence zn when two letters picked without replacement from jnvjvjnvzvvqv?
1/78
Two letters picked without replacement from {e: 1, c: 1, f: 1, i: 2, t: 1, d: 1}. What is prob of sequence dc?
1/42
Calculate prob of sequence ij when two letters picked without replacement from {c: 1, i: 7, j: 2}.
7/45
Two letters picked without replacement from {f: 9, m: 2}. What is prob of sequence ff?
36/55
What is prob of sequence bc when two letters picked without replacement from {n: 2, e: 2, x: 2, c: 4, y: 1, b: 8}?
16/171
Three letters picked without replacement from {z: 1, l: 2}. Give prob of sequence zll.
1/3
What is prob of sequence aala when four letters picked without replacement from aaaalakaaaaakzalala?
143/2584
Calculate prob of sequence hhhh when four letters picked without replacement from hhhhhhhhhh.
1
Three letters picked without replacement from {q: 5, l: 7, j: 1, c: 2, s: 3}. What is prob of sequence ljc?
7/2448
Three letters picked without replacement from {b: 2, z: 3, o: 1, t: 7, y: 7}. Give prob of sequence btt.
7/570
What is prob of sequence id when two letters picked without replacement from idibdididd?
2/9
Two letters picked without replacement from villgpapa. What is prob of sequence gp?
1/36
What is prob of sequence jjj when three letters picked without replacement from jjjjjxxjjjjjjjjx?
143/280
Calculate prob of sequence bi when two letters picked without replacement from gebbsebiess.
3/110
What is prob of sequence jvjd when four letters picked without replacement from jjjjjddjdvdjd?
7/572
Two letters picked without replacement from {z: 4, r: 2, w: 2, c: 1, m: 2, g: 3}. Give prob of sequence cg.
3/182
Two letters picked without replacement from {t: 4, p: 10}. What is prob of sequence tt?
6/91
What is prob of sequence yy when two letters picked without replacement from ylyly?
3/10
Three letters picked without replacement from xxxkoikxoixxxoxixbx. Give prob of sequence iko.
1/323
Calculate prob of sequence fy when two letters picked without replacement from {f: 2, q: 1, o: 6, y: 3, c: 1}.
1/26
Calculate prob of sequence lgg when three letters picked without replacement from gglglggggllglggglg.
11/68
What is prob of sequence zzt when three letters picked without replacement from {z: 2, t: 16}?
1/153
Calculate prob of sequence ojp when three letters picked without replacement from {v: 6, o: 1, p: 1, j: 1}.
1/504
What is prob of sequence wlwl when four letters picked without replacement from {w: 7, l: 5}?
7/99
Three letters picked without replacement from {k: 1, h: 3, j: 5, u: 2, d: 1, l: 1}. Give prob of sequence duk.
1/858
Four letters picked without replacement from uwuwwuuu. Give prob of sequence uuuw.
3/28
Four letters picked without replacement from ggddyan. Give prob of sequence dggy.
1/210
Calculate prob of sequence vsk when three letters picked without replacement from rsvvsvvdsrkvvd.
3/364
Four letters picked without replacement from ajjuavds. Give prob of sequence vjsj.
1/840
Calculate prob of sequence ms when two letters picked without replacement from shhhhhhhm | {
"pile_set_name": "DM Mathematics"
} |
se
Is 491916461191 a composite number?
True
Is 8927825503 a composite number?
False
Is 556585663 a composite number?
True
Is 844688135 a composite number?
True
Is 113390912561 composite?
False
Is 1067406679 composite?
True
Is 5670388249 prime?
True
Is 42089804039 composite?
True
Is 10438287101 a composite number?
True
Is 16443565967 prime?
False
Is 5646953803 prime?
True
Is 47820678947 a composite number?
True
Is 17360187893 a composite number?
False
Is 1112309537 composite?
True
Is 176030077 a prime number?
True
Is 52371676771 a prime number?
False
Is 6390796963 composite?
True
Is 3173200873 a prime number?
False
Is 51344093 prime?
False
Is 29312239673 prime?
True
Is 14372956111 a prime number?
False
Is 354445369 composite?
True
Is 150217467371 a prime number?
False
Is 140038373 a prime number?
False
Is 729107179 prime?
False
Is 1050799565 prime?
False
Is 17139212833 a composite number?
False
Is 59557432003 prime?
False
Is 19855698353 prime?
True
Is 1026154583 a composite number?
False
Is 1376583727 a composite number?
True
Is 118123524259 prime?
False
Is 1743671635 prime?
False
Is 428632733 prime?
False
Is 9267552401 prime?
True
Is 15184256977 a composite number?
False
Is 7890431377 a prime number?
True
Is 66608592739 a prime number?
False
Is 4954673242 a prime number?
False
Is 6115833847 prime?
True
Is 2104977613 composite?
False
Is 355934705905 a prime number?
False
Is 31762453 a prime number?
False
Is 2775889951 prime?
False
Is 968065403 a composite number?
False
Is 116046559 prime?
False
Is 381845362 a prime number?
False
Is 1745002535 prime?
False
Is 9184732789 prime?
False
Is 4601667451 a composite number?
False
Is 119453639797 prime?
True
Is 34609260113 composite?
True
Is 892473917 composite?
True
Is 1521659933 prime?
True
Is 2429369233 a composite number?
False
Is 2401727537 composite?
True
Is 2340140521 a prime number?
True
Is 736665911 prime?
True
Is 175114248757 prime?
False
Is 657589351 composite?
False
Is 62787560299 a prime number?
True
Is 18623488798 prime?
False
Is 3804950161 composite?
True
Is 1212905777 a prime number?
True
Is 7608404599 a composite number?
True
Is 1404999721 composite?
True
Is 29859648289 a prime number?
True
Is 1155148051 a composite number?
True
Is 4729631689 composite?
False
Is 26472319 composite?
True
Is 52952583697 composite?
True
Is 9198325379 prime?
False
Is 366287359 a prime number?
True
Is 6293912069 composite?
False
Is 4218517301 a prime number?
False
Is 27463039157 prime?
False
Is 76007630047 prime?
True
Is 1830806023 prime?
False
Is 2074465789 a composite number?
True
Is 1961072033 prime?
False
Is 49712677931 a prime number?
False
Is 109473628469 composite?
True
Is 6203802071 prime?
True
Is 123948138989 prime?
False
Is 17114897 composite?
True
Is 5139425803 a composite number?
True
Is 9169092271 a prime number?
True
Is 511868347 composite?
True
Is 81646969 prime?
True
Is 7539856603 composite?
False
Is 4238565707 prime?
False
Is 7710131341 composite?
True
Is 12499652617 a prime number?
True
Is 55673481131 a composite number?
True
Is 104233699 a prime number?
False
Is 31383161 composite?
False
Is 17238849077 a composite number?
True
Is 855054637 prime?
False
Is 10207368023 composite?
True
Is 272458187 composite?
False
Is 207972047 composite?
True
Is 1854154493 prime?
True
Is 4912513378 a prime number?
False
Is 10924998793 composite?
True
Is 129760701937 composite?
True
Is 13524868977 a prime number?
False
Is 3774453409 prime?
True
Is 27499711801 a composite number?
True
Is 1492818751 a composite number?
False
Is 2990269909 prime?
False
Is 14416674431 a composite number?
True
Is 18569233 a composite number?
False
Is 4227900451 composite?
False
Is 334616459921 composite?
False
Is 115092948733 prime?
False
Is 162031493 a composite number?
True
Is 666515803 a prime number?
False
Is 149910903778 a prime number?
False
Is 16388323681 prime?
True
Is 73580535183 composite?
True
Is 16740850471 composite?
False
Is 183977501833 composite?
False
Is 2812565711 composite?
False
Is 415407361 a prime number?
True
Is 7189806721 composite?
False
Is 14651705333 a composite number?
False
Is 72792029 prime?
False
Is 241714465 a composite number?
True
Is 1276935133 a prime number?
True
Is 5639406911 a composite number?
True
Is 23107622941 a prime number?
False
Is 1561262491 a prime number?
True
Is 1347939071 a prime number?
False
Is 5826323059 a composite number?
True
Is 21461023889 composite?
True
Is 702639389 prime?
True
Is 1902594709 a prime number?
False
Is 89160509143 prime?
False
Is 109322357 a prime number?
False
Is 87700607 a prime number?
False
Is 1247865523 a composite number?
False
Is 167296699 a prime number?
False
Is 3537379694 a composite number?
True
Is 12446926117 a prime number?
False
Is 4500443551 a composite number?
False
Is 38690528473 prime?
True
Is 205587973 a prime number?
False
Is 18548641 prime?
True
Is 1320504929 a composite number?
False
Is 3316511785 a prime number?
False
Is 56364282539 a composite number?
True
Is 31473670847 a composite number?
True
Is 56618883213 prime?
False
Is 221733937 a prime number?
True
Is 510268189 a prime number?
False
Is 220276907 prime?
True
Is 1377686473 a prime number?
False
Is 1271948203 composite?
False
Is 1295887279 prime?
True
Is 36336758935 prime?
False
Is 4459309793 a prime number?
False
Is 4136254847 a composite number?
False
Is 15385366407 prime?
False
Is 966473507 a composite number?
True
Is 619165771 prime?
False
Is 1382443487 a prime number?
True
Is 77464141 a prime number?
True
Is 32730779329 a composite number?
False
Is 434282437 composite?
False
Is 271492589 a composite number?
True
Is 553390277 prime?
False
Is 2069142247 prime?
True
Is 23927289103 a prime number?
True
Is 935777203 composite?
True
Is 1921696901 a prime number?
True
Is 604781363 a composite number?
False
Is 68326096637 composite?
True
Is 1551354809 composite?
False
Is 21703095163 prime?
True
Is 85778281 a composite number?
False
Is 12932207 a prime number?
False
Is 46744795757 prime?
False
Is 514021241 composite?
True
Is 1709823373 a composite number?
True
Is 82054758323 a composite number?
False
Is 707777047 a composite number?
False
Is 42261165579 prime?
False
Is 4505291891 prime?
True
Is 2950133041 a composite number?
False
Is 2326212037 a composite number?
False
Is 743820439 a prime number?
True
Is 4978951097 a prime number?
False
Is 10053952693 composite?
False
Is 93982048351 prime?
True
Is 4176576797 a composite number?
False
Is 65487135261 prime?
False
Is 144286873 a composite number?
False
Is 16441144117 prime?
True
Is 33010587149 prime?
False
Is 78783359 a composite number?
False
Is 10400664301 composite?
True
Is 718222469 a composite number?
False
Is 4115827403 prime?
True
Is 1004288359 composite?
False
Is 444525737 a composite number?
True
Is 137688233 a composite number?
True
Is 6752475779 a prime number?
False
Is 7364299301 a composite number?
True
Is 961742269 a prime number?
False
Is 5338284397 a composite number?
False
Is 75496049 a composite number?
False
Is 2802712169 composite?
False
Is 619202307 a prime number?
False
Is 30486713637 a prime number?
False
Is 8471677 composite?
False
Is 7808372713 composite?
False
Is 1557720887 a composite number?
True
Is 64007829401 composite?
False
Is 5720399627 composite?
False
Is 2796481537 a composite number?
True
Is 51506987219 a composite number?
False
Is 7583835817 composite?
True
Is 9665598941 prime?
False
Is 23570553821 prime?
False
Is 2112906893 a composite number?
True
Is 7401267487 a prime number?
False
Is 82523745097 composite?
False
Is 571656493 a prime number?
True
Is 10150353407 composite?
False
Is 496971911 a composite number?
False
Is 68728901 composite?
False
Is 7277858267 composite?
False
Is 7044010595 a composite number?
True
Is 34970809117 composite?
False
Is 106308281 prime?
True
Is 934086937 composite?
True
Is 1534284757 composite?
True
Is 621244887 a prime number?
False
Is 116614158163 prime?
True
Is 4575156869 composite?
False
Is 131016140159 composite?
False
Is 1127642573 composite?
False
Is 4208368663 prime?
False
Is 901917001 a composite number?
False
Is 6252459887 prime?
False
Is 3123526619 a composite number?
False
Is 3527599687 a composite number?
True
Is 34008993839 composite?
False
Is 1846753 | {
"pile_set_name": "DM Mathematics"
} |
894157?
41, 71, 11987
List the prime factors of 43653229.
17, 37, 69401
What are the prime factors of 226367594?
2, 127, 409, 2179
List the prime factors of 359427260.
2, 5, 17, 227, 4657
What are the prime factors of 706170766?
2, 7, 5743, 8783
List the prime factors of 4182202882.
2, 11, 13, 3533, 4139
List the prime factors of 415948892.
2, 157, 662339
List the prime factors of 69573355.
5, 43, 323597
List the prime factors of 39490145.
5, 7898029
What are the prime factors of 316530142?
2, 173, 914827
List the prime factors of 17198222.
2, 8599111
What are the prime factors of 92064919?
71, 1296689
What are the prime factors of 761029923?
3, 253676641
What are the prime factors of 241803692?
2, 13, 23, 181, 1117
What are the prime factors of 856681212?
2, 3, 3541, 20161
What are the prime factors of 5643838890?
2, 3, 5, 2069, 10103
List the prime factors of 288307469.
288307469
List the prime factors of 54608708.
2, 7, 11, 177301
What are the prime factors of 3220286896?
2, 19, 10593049
List the prime factors of 119302206.
2, 3, 19883701
What are the prime factors of 145958116?
2, 61, 598189
What are the prime factors of 59907863?
59907863
List the prime factors of 637384202.
2, 7, 13, 47, 269, 277
List the prime factors of 641361102.
2, 3, 8581, 12457
What are the prime factors of 181781212?
2, 79, 575257
What are the prime factors of 2844659?
83, 34273
List the prime factors of 14587066.
2, 13, 103, 419
List the prime factors of 188682226.
2, 53, 1780021
What are the prime factors of 1199635916?
2, 233, 1287163
What are the prime factors of 468042646?
2, 234021323
List the prime factors of 3032079431.
7757, 390883
What are the prime factors of 629766060?
2, 3, 5, 7, 11, 271, 503
List the prime factors of 60862264.
2, 67, 271, 419
What are the prime factors of 992891109?
3, 7, 47280529
List the prime factors of 90801531.
3, 59, 271, 631
List the prime factors of 204383074.
2, 7, 97, 150503
List the prime factors of 3000873951.
3, 333430439
What are the prime factors of 89581350?
2, 3, 5, 597209
What are the prime factors of 958868?
2, 17, 59, 239
List the prime factors of 20231358.
2, 3, 7, 481699
List the prime factors of 162626610.
2, 3, 5, 61, 88867
List the prime factors of 6003517010.
2, 5, 307, 1955543
What are the prime factors of 371143490?
2, 5, 17, 47, 46451
List the prime factors of 22648354.
2, 11324177
What are the prime factors of 834096583?
277, 3011179
List the prime factors of 1430606397.
3, 11, 401, 108109
What are the prime factors of 821854810?
2, 5, 7, 97, 121039
What are the prime factors of 7857395694?
2, 3, 83, 5259301
List the prime factors of 11406137.
19, 23, 43, 607
What are the prime factors of 6376933085?
5, 1275386617
What are the prime factors of 71693257?
71693257
List the prime factors of 34588505.
5, 7, 988243
List the prime factors of 42683295.
3, 5, 2845553
What are the prime factors of 31623324?
2, 3, 887, 2971
What are the prime factors of 136212293?
7, 71, 274069
List the prime factors of 580821896.
2, 173, 307, 1367
What are the prime factors of 37712003?
7, 5387429
What are the prime factors of 414329099?
2503, 165533
What are the prime factors of 127734640?
2, 5, 11, 23, 6311
List the prime factors of 459049882.
2, 79, 127, 22877
List the prime factors of 19492860.
2, 3, 5, 19, 17099
List the prime factors of 527065960.
2, 5, 17, 775097
What are the prime factors of 67265362?
2, 17, 1978393
List the prime factors of 78061652.
2, 19, 1027127
List the prime factors of 75115702.
2, 19, 1976729
List the prime factors of 364634949.
3, 7, 619, 28051
What are the prime factors of 1007678128?
2, 17, 37, 223, 449
What are the prime factors of 3409841054?
2, 29, 58790363
List the prime factors of 17020634.
2, 8510317
List the prime factors of 2583295239.
3, 7, 2510491
List the prime factors of 42849094.
2, 21424547
What are the prime factors of 57266428?
2, 14316607
What are the prime factors of 106430668?
2, 1151, 23117
List the prime factors of 34659025.
5, 1386361
List the prime factors of 672522148.
2, 67, 2509411
List the prime factors of 256359640.
2, 5, 6408991
List the prime factors of 164905681.
2293, 71917
What are the prime factors of 80443798?
2, 43, 935393
List the prime factors of 280047279.
3, 61, 1530313
List the prime factors of 156157171.
47, 397, 8369
What are the prime factors of 86477415?
3, 5, 47, 122663
List the prime factors of 1979313532.
2, 7, 73, 968353
What are the prime factors of 897512763?
3, 7, 2221, 2749
List the prime factors of 20598310.
2, 5, 163, 12637
List the prime factors of 113476478.
2, 29, 701, 2791
What are the prime factors of 478788901?
17, 67, 79, 313
What are the prime factors of 296334815?
5, 7, 127, 163, 409
What are the prime factors of 6375332148?
2, 3, 531277679
List the prime factors of 21126671.
21126671
What are the prime factors of 431069252?
2, 107767313
List the prime factors of 56671193.
31, 1061, 1723
What are the prime factors of 72969116?
2, 11, 1658389
What are the prime factors of 71969439?
3, 59, 281, 1447
What are the prime factors of 247531100?
2, 5, 241, 10271
List the prime factors of 53081640.
2, 3, 5, 147449
What are the prime factors of 553996349?
553996349
List the prime factors of 1105042549.
13, 85003273
What are the prime factors of 2063712852?
2, 3, 107, 535751
List the prime factors of 2244552246.
2, 3, 124697347
What are the prime factors of 274028538?
2, 3, 7, 6524489
List the prime factors of 2939697239.
17, 139, 1244053
What are the prime factors of 77108913?
3, 7, 397, 3083
What are the prime factors of 2571923258?
2, 19, 5669, 11939
What are the prime factors of 2069174819?
44101, 46919
List the prime factors of 35807937.
3, 11, 47, 23087
What are the prime factors of 95409502?
2, 47704751
What are the prime factors of 109185511?
5851, 18661
What are the prime factors of 78507562?
2, 7, 31, 37, 4889
What are the prime factors of 660618012?
2, 3, 761, 72341
List the prime factors of 3540898501.
7, 19, 101, 263597
What are the prime factors of 1292260548?
2, 3, 107688379
List the prime factors of 55834576.
2, 7, 498523
What are the prime factors of 17558808?
2, 3, 173, 4229
List the prime factors of 596949188.
2, 11, 101, 134327
List the prime factors of 220036366.
2, 11, 3109, 3217
What are the prime factors of 6755003554?
2, 13, 4703, 55243
List the prime factors of 1167783734.
2, 13, 281, 159839
List the prime factors of 369287026.
2, 239, 772567
What are the prime factors of 257439891?
3, 17, 311, 16231
What are the prime factors of 13052797?
13052797
List the prime factors of 2342915.
5, 619, 757
What are the prime factors of 327365909?
13, 25181993
List the prime factors of 1254440.
2, 5, 11, 2851
What are the prime factors of 66512970?
2, 3, 5, 587, 1259
What are the prime factors of 1979331815?
5, 23, 3499, 4919
List the prime factors of 119872712.
2, 17, 881417
What are the prime factors of 87129461?
331, 461, 571
List the prime factors of 208553569.
7, 17, 43, 53, 769
What are the prime factors of 475466587?
475466587
List the prime factors of 216205960.
2, 5, 61, 88609
List the prime factors of 1773861725.
5, 521, 136189
What are the prime factors of 138415863?
3, 23, 83, 24169
List the prime factors of 892203833.
23, 233, 166487
List the prime factors of 82671192.
2, 3, 127579
What are the prime factors of 1552894284?
2, 3, 31, 857, 4871
What are the prime factors of 55738582?
2, 27869291
What are the prime factors of 272429017?
7, 101, 385331
What are the prime factors of 4372138003?
4372138003
List the prime factors of 513556660.
2, 5, 25677833
What are the prime factors of 769770803?
113, 131, 149, 349
List the prime factors of 265101135.
3, 5, 13, 1359493
What are the prime factors of 2729297806?
2, 23, 43, 32089
What are the prime factors of 5790741?
3, 11, 379, 463
What are the prime factors of 482817585?
3, 5, 79, 211, 1931
What are the prime factors of 100489113?
3, 53, 70223
What are the prime factors of 102505570?
2, 5, 19, 539503
What are the prime factors of 56986492?
2, 79, 180337
List the prime factors of 23266291.
89, 197, 1327
List the prime factors of 299907132.
2, 3, 7, 17, 210019
List the prime factors of 13036378.
2, 193, 33773
What are the prime factors of 22826856?
2, 3, 13, 23, 3181
Wh | {
"pile_set_name": "DM Mathematics"
} |
form i*z**3 + d*z + s + p*z**2 + m*z**4 and give i.
-2
Express 112 + 1074*o**2 - 291 + 180 - 2*o in the form k + f*o + g*o**2 and give k.
1
Express 32*b - 7 - 11*b - 147 + 158 as v*b + p and give p.
4
Express 439 - 144 + 14*h**2 - 6*h - 142 - 152 as v + j*h**2 + d*h and give d.
-6
Express 164*a + 3047*a - 1 - 3088*a + 3924*a + 4234*a in the form y + o*a and give y.
-1
Rearrange 4 - 68*y - 32*y + 13*y + 39*y - 64*y to the form j + i*y and give i.
-112
Express 4*c**2 - 5*c**2 + 0*c**2 + (17 - 6*c - 17)*(4*c - 2*c - c) + 2 - 2 + 2*c**2 + (0*c + 3*c + 0*c)*(2*c + c + 5*c) in the form i*c + v + z*c**2 and give z.
19
Rearrange (25039 - 3020*m**2 - 25039)*(0*m + 3*m - 2*m + 1) to the form h*m + f*m**3 + l*m**2 + i and give l.
-3020
Express -1005 - 2*z**2 + 5*z**3 + 1017 + 3*z**2 + (z + 0*z + z)*(0*z + z**2 + 0*z) in the form n*z**3 + l*z + x + c*z**2 and give c.
1
Rearrange -39231*l - 52 + 39231*l - 2*l**3 + 0*l**2 - 2*l**4 + l**2 to c*l**2 + y*l**3 + h + j*l + z*l**4 and give z.
-2
Rearrange (-47*f**2 - 40*f**2 - 51*f**2)*(0 + 1 - 2 + (1 + 2 + 0)*(0 - 2 + 3))*(3 + 3*f + 3 - 7) to the form b + a*f**2 + n*f + i*f**3 and give a.
276
Rearrange 8038*u**2 - 12*u - 8 - 16089*u**2 + 8041*u**2 to o + l*u + n*u**2 and give n.
-10
Express 0 + 0*v**2 + 19*v**2 - 11*v**2 + 165*v + 0 in the form b + i*v + l*v**2 and give l.
8
Rearrange 11 + 3386*c + 16 - 1 - 24 + 659*c to the form b*c + r and give r.
2
Express 1175*w - 37*w**3 + 2*w**2 - 2966*w - 41*w**3 - 3*w**2 + 80*w**3 as s + q*w**3 + d*w + t*w**2 and give t.
-1
Rearrange (546*o**3 + 18*o**2 - 1710*o**3 - 16*o**2)*(-2 + 6*o + 2) to u*o**4 + i*o + s*o**3 + h + c*o**2 and give s.
12
Express -7 - 14 + 20 + 84*c + 1533*c + 186*c in the form k + m*c and give m.
1803
Express (4 - 2 + 0 + (-4 - 1 + 3)*(-3 - 1 + 3) + 3 + 4 - 5 + 1 + 0 - 2 + 365 + 1306 - 23)*(3*f**4 + 0*f + 0*f) as u*f**2 + r*f + y*f**3 + j*f**4 + l and give j.
4959
Rearrange 19*p**2 + 2*p - 230*p**4 + 128*p**4 + 19 - p**3 + 104*p**4 to the form x*p**4 + i*p**3 + f + b*p + m*p**2 and give i.
-1
Express (-15*d**2 - 14*d**2 + 4*d**2)*((-2 + 3 - 2)*(-2 + 2*d + 2) - 64*d - 23*d - 53*d) as x*d**3 + u*d**2 + a + m*d and give a.
0
Rearrange (347*n - 88*n - 17*n)*(-1 + 5 - 2)*(n + n + 3*n) - 2*n**2 - n + n to f + c*n + q*n**2 and give q.
2418
Rearrange 41*q**3 + 20892*q + 20826*q - 41821*q to the form w*q**3 + m*q + c*q**2 + v and give w.
41
Rearrange 12*p**2 + 0*p**4 + 12*p**2 - 3 + 4*p**2 - 4*p**4 + 4*p**2 to the form i*p**4 + h + n*p**2 + y*p**3 + v*p and give h.
-3
Express -16067 - 16079 + 32132 - 75*v**2 in the form h*v**2 + x*v + w and give h.
-75
Express -2*n**2 - 3*n**3 - n**3 + 6*n**3 + 5 - 10*n**4 - 2*n - 33*n**4 + 47*n**4 in the form f*n + o*n**4 + r*n**3 + v*n**2 + q and give q.
5
Rearrange 2100*v - 435*v - 770*v + 964*v + 2430*v to m*v + z and give z.
0
Express -164*w - 156*w + 691 + 318*w in the form c*w + h and give h.
691
Rearrange -3*b - 5 + 8 + 292*b**4 - 265*b**4 to the form x + r*b + c*b**3 + o*b**2 + q*b**4 and give x.
3
Express -3*o - 3*o + 5*o + (3*o - 2*o - 2*o)*(2 + 4 - 4) - 492*o + 2739*o + 2000*o + 167*o + 3235*o as q + x*o and give x.
7646
Rearrange (-2 + 2*k**2 + k + 3*k**2 - 7*k**2)*(12*k**2 - 66*k**2 - 38*k**2) to j*k**2 + c + a*k**3 + u*k**4 + l*k and give u.
184
Rearrange 1 - 3*y**2 + 16670*y - 8351*y - 8375*y to the form v*y**2 + r*y + z and give r.
-56
Rearrange -3*v**3 + 21*v**3 + 9*v**3 + (-2*v - 3*v + 6*v)*(-1710*v - 4*v**2 - 3*v**2 + 1711*v) to f + y*v**3 + w*v**2 + k*v and give w.
1
Express -103 - 2930 - 2113 - k in the form f + v*k and give v.
-1
Express (-4*d**2 + d**4 + 4*d**2)*(1 + 9 + 13)*(-3 + 118 + 3) as b*d**3 + y*d**2 + l*d**4 + k*d + i and give l.
2714
Rearrange -15514*d**2 - 4 + 15511*d**2 + 12*d + 5 - 4 to h*d**2 + y*d + x and give h.
-3
Express -158 + 79*v**2 - 81*v**2 - 8*v**2 as j*v**2 + a*v + o and give j.
-10
Express -522*w**2 - 664*w**2 - 55*w**2 + 296*w**2 + (6*w**2 - 4*w**2 + 2*w**2)*(1 - 1 - 2) as u*w + s*w**2 + m and give s.
-953
Express 656090*z - 328044*z - 2*z**2 + 172 - 328035*z as k + x*z + d*z**2 and give d.
-2
Rearrange 0*m**4 + 0*m**4 + m**4 + (-13*m + 21*m + 21*m)*(m - m**3 - 33*m**3 + 9*m**3) to the form t + y*m**3 + a*m**4 + g*m + l*m**2 and give a.
-724
Rearrange (2954 - 1494 - 2815 + g)*(-2 - 3*g - 2*g + g)*(0 - 7 + 2) to the form x*g**2 + l*g + a and give l.
-27090
Express -5 - a - 166418*a**3 + 165686*a**3 + 5 as j + v*a**2 + g*a**3 + k*a and give k.
-1
Rearrange -103341*r + r**2 - 5*r**3 + 6 - 2*r**2 + 103347*r to the form d*r**3 + m + k*r**2 + u*r and give k.
-1
Rearrange 10*o - 108 - 52*o - o**2 + 107 + 2*o - 7*o**4 to the form w*o**4 + h + x*o + t*o**2 + u*o**3 and give h.
-1
Express (-2*o + 0*o + 4*o)*(0*o + 0*o + o**2) + 14*o + 175884*o**3 - 175882*o**3 + 207*o in the form w + j*o**2 + l*o**3 + y*o and give y.
221
Express 27*r - 431 - 27*r + 0*r**2 + 3*r**2 as t*r**2 + s*r + d and give t.
3
Rearrange (-65 - 62 + 120 + 10*x)*(x**3 - x**3 + 15*x**3) to the form o*x**3 + r*x + b + l*x**2 + h*x**4 and give h.
150
Rearrange 198*v**3 - 49*v**2 - 3 - 75*v**3 + 3 - 70*v**3 to the form b*v**2 + c + m*v**3 + u*v and give b.
-49
Rearrange -2725*y + 2332*y + 27*y**3 - 28*y**3 - 2*y**4 to j + m*y**2 + t*y**3 + u*y**4 + x*y and give x.
-393
Express 10621*g**2 + 2*g - 27250*g**2 - 2*g in the form x*g**2 + q*g + s and give x.
-16629
Express 2*y**2 - 6*y**4 - 6*y**4 - 2*y**4 - 7*y**4 - 3*y + 2704766*y**3 - 2704767*y**3 in the form i*y**2 + d*y + l*y**3 + o*y**4 + b and give d.
-3
Rearrange -4*x**2 + 4*x**2 + 3*x + 6*x**2 + 142*x**3 - 7*x**2 - 2 to g*x + h + y*x**3 + f*x**2 and give y.
142
Rearrange (2 - 2 - 2)*(5291*j + 94*j**3 - 10567*j + 5009*j) to o*j**3 + r + p*j + u*j**2 and give p.
534
Rearrange (-d - 1 + 1)*(3 - 5 + 3) + 649*d - 360*d - 290*d + 12839 to s*d + z and give z.
12839
Express o**3 - 1111 + 6*o - 2*o**2 - 42*o**4 - 5*o + 1112 in the form q*o**4 + h*o**3 + t*o + k*o**2 + i and give t.
1
Express -296*r + 298*r + 394 + 5629*r**3 - 2*r**2 - r**4 - 5629*r**3 as k*r**2 + x + l*r + c*r**4 + y*r**3 and give k.
-2
Express -2 + 2 - 2*l**2 + (3*l + 0*l - 4*l)*(-9*l - 14*l + 9*l) + 0*l**2 + 10*l**2 + 8*l**2 as d*l + t*l**2 + o and give d.
0
Express 1143*t**2 + 1 + 14*t - 15*t - 1141*t**2 - 17*t**4 as y*t**2 + a*t + c + h*t**4 + n*t**3 and give y.
2
Rearrange -2*h**3 - 16248*h + 22 - 3 + 16262*h to d*h**3 + v*h + z*h**2 + g and give g.
19
Express (-5*g + 4*g - 21*g)*(6 - 1 + 3)*(-1 + 1 - 1)*(-5*g**3 - 13*g**2 + 13*g**2) in the form d*g + c + i*g**2 + z*g**4 + n*g**3 and give z.
-880
Express -605 + 4*k + 1506 - 563 - 666 as y*k + g and give y.
4
Express (4*f - f - f)*(-348 + 399 - 256) - 1 - 562*f + 473*f + 1 in the form z*f + t and give z.
-499
Express -31095*l + 15525*l + 15208*l in the form a + q*l and give q.
-362
Rearrange 31*o**2 + 8*o**2 - 12*o + 2118*o**3 + 45*o - 2116*o**3 - 20 + 21 to n*o**2 + h*o**3 + m*o + q and give q.
1
Express (-i + 90*i + 4*i)*(79 - 43 + 8) + (-5 + 2 + 2)*(3*i + 3*i - 5*i) + i - i - 2*i in the form y + x*i and give x.
4089
Express (16*r**3 + 16*r**3 + 12*r**3)*(1 - 1 + 2*r)*(-1 + 87 - 10) as w*r + s*r**4 + f + n*r**3 + v*r**2 and give s.
6688
Express 17*y**4 + 15*y**4 - 15*y**4 + (1 - 1 + 3)*(-y + y + 2*y**4) - 2*y**4 + 24 - 6*y - 24 as q*y + m*y**4 + s + w*y**2 + g*y**3 and give q.
-6
Express (-m**2 + 2*m**2 - 3*m**2)*(-89 + 1758 + 258) in the form k*m**2 + i*m + z and give k.
-3854
Rearrange (y - 2*y - 5*y)*(-2221*y**2 - 90 - 91 + 181 - 2795*y**2) to x + s*y**3 + p*y + v*y**2 and give s.
30096
Express -29175*j**3 + 3 + 2*j**4 + 29177*j**3 - j**4 - 7*j**2 as s*j + t*j**3 + y*j**4 + r*j**2 + g and give g.
3
Rearrange -76*y**2 - 10 - 1528*y**4 + 84*y**2 - 5*y**3 + 1526*y**4 to a*y**3 + i*y**4 + d*y**2 + t + q*y and give t.
-10
Rearrange -150*h**2 + 1 + h - 4*h + 0 - 6*h + 145*h**2 to the form w + m*h + v*h**2 and give m.
-9
Express 913*w - 105*w + 1152*w in the form q*w + a and give q.
1960
Express 0*q**2 - 46*q**3 - 10*q**2 - 657*q**3 + 8*q**2 in the form t*q**3 + f*q**2 + s + a*q and give t.
-703
Rearrange 113262*v + 3*v**3 - 56634*v - 44*v**2 - 2 + v**3 - 56630*v to c + d*v**3 + g*v + b*v**2 and give b.
-44
Rearrange -23*f**3 - 3541 + 3449 + 4*f**3 to a + v*f**2 + q*f + n*f**3 and give n.
-19
Rearrange ((-y + 4*y - 5*y)*(y + y + y) - 3*y**2 + 0 + 0)*( | {
"pile_set_name": "DM Mathematics"
} |
-0.0000043
Let s = 119917.59463 - 119917. What is s rounded to 3 dps?
0.595
Let i = 3.664786 + -2624267.664786. Let g = i - -2624212.00114. Let d = 52 + g. Round d to four decimal places.
0.0011
Let l = 1052.7681 + -1222.79. Let x = -0.91 - -170.91. Let t = l + x. What is t rounded to 3 decimal places?
-0.022
Let j = 1169 - 1171.1812. Let i = 0.0088 - j. What is i rounded to the nearest integer?
2
Let y(p) = 2*p**2 + 21*p - 27. Let o be y(-12). Suppose -3*z + 0 = o. Let f be 170/(z + 0 - -4). Round f to the nearest 100.
200
Let g be 226/28*-2 - (-3)/21. Let q be g/(-7) - ((-36)/(-28) + -1). Suppose 4*a + 149 = 4*n + n, -5*n + q*a + 157 = 0. What is n rounded to the nearest 10?
30
Let k = -12.204 + 12.2417. Round k to 4 decimal places.
0.0377
Let n = 63.7 + -59. Let f = n - 5.06. Let d = f + 0.3796. What is d rounded to 3 decimal places?
0.02
Let a = -1183 + 601. Let g = -178 - a. Let l = g + -403.99733. Round l to four decimal places.
0.0027
Let o = 895.16 + -1097. Round o to 0 dps.
-202
Let l = 44 + -67. Let v = l - -23.25. Let k = v - 0.250007. Round k to five decimal places.
-0.00001
Let g be 289528/((-8)/668*-1). Let a = g + -14275588. What is a rounded to the nearest one million?
10000000
Let u(s) = 7*s + 8. Let i be u(4). Let y = 38 - i. Suppose 0 = -5*c + y*c - 2*z - 266994, 15 = 5*z. What is c rounded to the nearest ten thousand?
-90000
Let p = -56500.536 + 62558.9551. Let y = p - 6058. What is y rounded to 2 decimal places?
0.42
Let q = -65.198 + 0.1964. Let c = 718 - 653. Let u = c + q. What is u rounded to four decimal places?
-0.0016
Let p = 50.5 - 917.5. Let k = p - -797.4. Round k to the nearest integer.
-70
Let s = 42352 + -42352.0000020349. What is s rounded to 7 decimal places?
-0.000002
Let k = 217.61443 - -0.08557. Round k to the nearest one hundred.
200
Let b = -30 + 32. Let d be b/14*-2 - 26/(-91). Suppose -4*x - w + 0*w = 6800000, d = 3*x + 4*w + 5100000. Round x to the nearest one million.
-2000000
Let f = -0.20163 + 14.37163. Round f to 0 dps.
14
Let v = -358787 - -356535.51. Let k = v + 2316. What is k rounded to the nearest 10?
60
Let q = -7108620 - -4019120. What is q rounded to the nearest 10000?
-3090000
Let z = -879 + 878.975844. What is z rounded to three dps?
-0.024
Let j = -49573.2069 + 49569. Let q = 4.016 + j. What is q rounded to 2 dps?
-0.19
Let h = -20 + 72. Suppose 20*o - h = 7*o. Suppose 8*d - 66 = -3*y + 6*d, -y = o*d - 22. What is y rounded to zero decimal places?
22
Let y = -140 + 98. Let i = y - -63. Suppose i*v = 18*v - 18. Round v to the nearest ten.
-10
Let d = 11125 + -11125.003221. Round d to 4 dps.
-0.0032
Let c = -0.057 - 26.943. Let g = -42 - c. Let d = g + 14.99988. What is d rounded to 4 dps?
-0.0001
Let v = 8.955 + -9.4. Let j = v - -1.625. What is j rounded to 1 dp?
1.2
Let i = -43.426 + 26.115. Round i to 1 decimal place.
-17.3
Let d(r) be the third derivative of 2*r**4/3 + 46*r**3/3 + 76*r**2. Let i be d(3). Round i to the nearest 1000.
0
Let p(c) = -40 - 42 - 1519624*c - 1414300*c + 74 + 498920*c. Let z be p(-2). Round z to the nearest 1000000.
5000000
Let h(g) = -2*g**2 + 34*g - 28. Let k be h(16). Suppose -k*q + 1563 = 3*b + 274, -3*q + 423 = b. Round b to the nearest 100.
400
Let s = -309635409193.6 - -309629184680.5999968. Let f = s - -6224595. Let i = f + -82. Round i to six dps.
-0.000003
Let f = -0.03986 - 2931.96014. Let t = f - -2932.00008942. What is t rounded to five decimal places?
0.00009
Let g = -0.237 - 229.763. Let y = 216.509 + 8.141. Let v = y + g. What is v rounded to 0 decimal places?
-5
Let l = -0.7991 + -0.0809. Let a = 0.879996261 + l. Round a to 7 dps.
-0.0000037
Let v = 62 - 48. Let x = -14 + v. Suppose 2*f + 77903 + 4097 = x. What is f rounded to the nearest 10000?
-40000
Let y = 9792.588 + -9766. What is y rounded to one decimal place?
26.6
Let o be (-12)/3*(-3)/12. Let p(z) = 6*z + 1. Let g be p(o). Let k(i) = 41982*i**3 + 5*i**2 - 10*i - 1. Let w be k(g). What is w rounded to the nearest 1000000?
14000000
Suppose -3*y = -4*j - 5918388, 2*y = 65*j - 70*j + 3945615. Round y to the nearest 100000.
2000000
Let g = 0.9712 + -0.91. Let c = -0.060717 + g. What is c rounded to 4 dps?
0.0005
Let r(a) be the first derivative of 44*a**2 + 16*a - 19. Let d be r(5). Suppose -t = 1886 - d. What is t rounded to the nearest one hundred?
-1400
Let i = -169 + 168.83. Let l = i + 0.1824. What is l rounded to three dps?
0.012
Let w = -144.5 - -15.5. Let t = w - -74. Let x = -55.00048 - t. Round x to 5 decimal places.
-0.00048
Let l = 40 + -41. Let v be (-13 + 12)/(l*1/(-45)). Let g be v*((-7600)/6 + 0). What is g rounded to the nearest 10000?
60000
Let p be (7200003*(-12)/18)/(2 + -4). Let g be 3 + 24/(-6) + p. Round g to the nearest 1000000.
2000000
Let d be 150132 - -18*(-6)/18. Let p = 65326 - d. Round p to the nearest ten thousand.
-80000
Let f(y) = 33*y**3 + 2*y - 1. Let c be f(1). Suppose -c + 36 = -w. Let q be -5280 + -1*w/2 + -1. What is q rounded to the nearest one thousand?
-5000
Let s be 978900/(-39) - 2/(0 + -2 - 0). What is s rounded to the nearest one hundred?
-25100
Suppose 3*n - 2*p + 6750304 = 0, 2*p = n + 1862686 + 387418. What is n rounded to the nearest 100000?
-2300000
Let x = 134.108894 - 134.15. Round x to 4 decimal places.
-0.0411
Let t(z) = z**3 - 5*z**2 - 8*z - 3. Let m be t(6). Let r = m - -20. Suppose r*n = -246140 + 921140. Round n to the nearest one hundred thousand.
100000
Let m = -5490449.993504269 + -0.086495731. Let w = m + 5489845.080277. Let k = w + 605. Round k to 4 dps.
0.0003
Let y = 1425847 - -1167153. Round y to the nearest 1000000.
3000000
Let a = 2.7980642 + -2.797. Round a to four dps.
0.0011
Let x = 32705.2 + -30229. What is x rounded to the nearest one hundred?
2500
Let g = -30632964165 - -30632793214.886947. Let a = g + 170950. Let o = a + 0.113. What is o rounded to four decimal places?
-0.0001
Suppose 0*s + 60 = -6*s. Let a = s - -17. Let y(j) = 7*j + 13. Let x be y(a). Round x to the nearest ten.
60
Let t = -1778.8 + 1783.4536. Round t to 2 dps.
4.65
Let f = -53.07 + 47. Let h = f + -0.54. Round h to the nearest integer.
-7
Let n = 599.83 + -597. Let z = n + -2.82842. Round z to 4 dps.
0.0016
Let o = 581120.78768197 - 580632.78768. Let h = -488 + o. Round h to six dps.
0.000002
Let c = -0.932 - 0.079. Let b = c - -0.8652. Let q = -0.0771 - b. What is q rounded to two dps?
0.07
Suppose 0 = 5*f + 4*z - 11, 18*f = 16*f + 3*z + 9. Suppose -5*q = -q + l + 2571, 0 = -3*q - f*l - 1926. Round q to the nearest one hundred.
-600
Let j = -1933813372681 + 1933813375422.999996978. Let x = -2742 + j. What is x rounded to 7 decimal places?
-0.000003
Let w = 23.125 - 0.125. Let s = w - 23.000085. What is s rounded to five dps?
-0.00009
Suppose 210113 = 13*k - 26*k - 47053. What is k rounded to the nearest 100?
-19800
Let m = 38 + -32. Let o be 1 + m/((-24)/(-11116)). Round o to the nearest 1000.
3000
Let s = -82.701 + -4696.599. Round s to the nearest 100.
-4800
Suppose -12*g = -2*g - 234545790. Let a = g + -49954579. What is a rounded to the nearest one million?
-27000000
Let z(q) = 2*q**3 - 5*q - 42. Let i be z(0). Let g = 36 - 38. Let f be (-47040012)/i + g/7. What is f rounded to the nearest one hundred thousand?
1100000
Let i = 763 + -1206. Let p = i + 442.99304. What is p rounded to 4 dps?
-0.007
Let x = 38.03 - 0.43. Let d = -34 + x. Round d to zero decimal places.
4
Let q = 14502 - 14382.3. Round q to the nearest 10.
120
Let v = 3069.5706 + -1934.6399. Let s = -1135 + v. Round s to 3 decimal places.
-0.069
Suppose -4*p = -5*w + p + 190, 3*p = -w + 26. Suppose -74*k = -69*k - w. Suppose k*r - 8330 = 8*r. Round r to the nearest 1000.
-8000
Let l = 2.0797 - 2.08012472. What is l rounded to 5 dps?
-0.00042
Let l = -0.0037 - 0.0678. Let f = -0.6085 + l. Round f to zero dps.
-1
Let f(z) = -602*z**2 - 28*z + 103. Let a be f(-7). What is a rounded to the nearest one thousand?
-29000
Let l = 9785 + -9784.9995469. Round l to four dps.
0.0005
Let y(b) = 0*b + 18*b - 14 + 38 + 18 + 18*b**2. Let w be y(-3). What is w rounded to the nearest one hundred?
200
Let t = 0.322 - -0.048. Let i = 31.37 - t. Let p = i - 31.145. What is p rounded to 2 decimal places?
-0.15
Suppose -109 = 2*m + 2*o - 3*o, 0 = -4*m - 2*o - 238. Let a(v) = -v**3 - 57*v**2 | {
"pile_set_name": "DM Mathematics"
} |
)*-1.
4*sqrt(7) + 448
Simplify ((6*sqrt(560) - sqrt(35)) + sqrt(35) + sqrt(35))/(sqrt(63)*-5)*1.
-5*sqrt(5)/3
Simplify (sqrt(70)/(-1*sqrt(5)))/((2*sqrt(16))/sqrt(8))*-1.
sqrt(7)/2
Simplify (3*sqrt(143)*-2 - sqrt(143))/((sqrt(11) + sqrt(44)/sqrt(4))*-2).
7*sqrt(13)/4
Simplify ((5 + sqrt(567) + (sqrt(567) - (sqrt(567)*-1 - sqrt(567))) - (3 + 0 + sqrt(567))) + 3)**2.
270*sqrt(7) + 5128
Simplify -5*(-4*(-1 + sqrt(125)) + -2*sqrt(60)/sqrt(3)).
-20 + 120*sqrt(5)
Simplify 2*(3*2*sqrt(35))/(sqrt(7) - sqrt(175)*5).
-sqrt(5)/2
Simplify (1 + sqrt(1700) + 3 + ((0 + sqrt(1700))*3 - sqrt(1700)) + 1 + (sqrt(1700) - (((sqrt(1700) + -2 - sqrt(1700)) + sqrt(1700))*-1 - sqrt(1700))))**2.
360*sqrt(17) + 61209
Simplify (-5 + -5 + (sqrt(128) - (sqrt(128) - (sqrt(128) + (sqrt(128) - sqrt(128)*-1) - sqrt(128)))) + sqrt(128) + sqrt(128) + -3 + sqrt(128)*-1)**2*4.
-2496*sqrt(2) + 5284
Simplify -3 + ((-3*sqrt(192)*1 + 5)*4)**2.
-3840*sqrt(3) + 28045
Simplify (sqrt(136)*3*-5)/(-5*sqrt(8)*5).
3*sqrt(17)/5
Simplify (1 + (-3*sqrt(1300)*-3 - sqrt(1300)) - ((1 + sqrt(1300) - sqrt(1300) - sqrt(1300))*5 + (sqrt(1300) - -2*sqrt(1300)*5)))**2.
-160*sqrt(13) + 5216
Simplify ((sqrt(132)/(sqrt(6)*-2 - sqrt(6)))/(sqrt(288) - -1*sqrt(288))*1)**2 + -2.
-10357/5184
Simplify (sqrt(104)/(-3*sqrt(4)))/sqrt(2) + (sqrt(13) + (sqrt(26) - sqrt(416))/sqrt(2) - (sqrt(13) - (sqrt(1300) + 2 - sqrt(1300))))**2.
-37*sqrt(13)/3 + 121
Simplify (-3*(1*sqrt(88) + sqrt(88) - sqrt(88))*-2)/(sqrt(128) - (sqrt(128)*-2*2 - sqrt(128))).
sqrt(11)/4
Simplify (-2*(sqrt(704) - (sqrt(704) + sqrt(704) + 0)) + (1 + sqrt(704))*4 - -3*(-6*(1*sqrt(88) - sqrt(88)))/sqrt(8))**2.
384*sqrt(11) + 25360
Simplify (sqrt(121)/(sqrt(11) - (sqrt(11)*-3 - sqrt(11)))*4 - (sqrt(11) + (sqrt(66)*-1)/sqrt(6) + -3*sqrt(275)))**2.
68651/25
Simplify ((1*sqrt(56)*-2)/(2*sqrt(128)) + 3)*6.
-3*sqrt(7)/2 + 18
Simplify -4 + (2 + ((sqrt(320) + 0 - sqrt(320)) + sqrt(320))*6 + 1)**2.
288*sqrt(5) + 11525
Simplify 6*sqrt(6)/sqrt(3) - (sqrt(162) + 1) - (sqrt(28)/(1*sqrt(7)))/((sqrt(2) + (sqrt(2) + -2*sqrt(2) - sqrt(2) - sqrt(2)))*-3).
-19*sqrt(2)/6 - 1
Simplify (-4 + -2*sqrt(612) + sqrt(612) + 3 + -4 + ((sqrt(612) + 0 - sqrt(612))*5 - sqrt(612)))**2.
120*sqrt(17) + 2473
Simplify (sqrt(125)*-5*-5)**2 + (sqrt(405)*1*4)**2 + -1.
84604
Simplify (-5 + sqrt(704)*1 + sqrt(704))**2 + (sqrt(704) + -1 + -5)**2.
-256*sqrt(11) + 3581
Simplify ((-5*sqrt(468) - (sqrt(13)*1 + -3)) + 3)**2.
-372*sqrt(13) + 12529
Simplify -5 + sqrt(10)/(1*sqrt(20)/sqrt(4)) - (4*sqrt(98) + -4 + sqrt(2) + -2).
-28*sqrt(2) + 1
Simplify (1*(sqrt(363) - (-2*sqrt(363) + 5 + sqrt(363) + sqrt(363))) + (-2*(-1 + sqrt(363)) - (sqrt(363) + -1 + sqrt(363) + -3)))**2.
-66*sqrt(3) + 3268
Simplify -5*(sqrt(684) + sqrt(684)*1 + -3)*1.
-60*sqrt(19) + 15
Simplify (-6*3*sqrt(24))/(sqrt(200)*1).
-18*sqrt(3)/5
Simplify (0 + sqrt(242) + 4 + 1 + (-3 + (sqrt(242)*-2 - sqrt(242)) - (sqrt(242) + 1*sqrt(242) + sqrt(242) + -1)))**2.
-330*sqrt(2) + 6059
Simplify sqrt(51)/(2*sqrt(3)) - ((sqrt(17) + 0)**2 + 2) - 5*(sqrt(153)/(sqrt(9) - (sqrt(81)/sqrt(9) + sqrt(9)) - sqrt(9)))**2.
-161/4 + sqrt(17)/2
Simplify 2*((5*((sqrt(77) - (-4*sqrt(77) + sqrt(77))) + sqrt(77) + sqrt(77) - sqrt(77) - sqrt(77)) + sqrt(77))/(sqrt(7)*-1*4))**2.
4851/8
Simplify -2 + (2*sqrt(480))/(sqrt(18)/(sqrt(3)*2)) + -3 + 3.
-2 + 16*sqrt(5)
Simplify ((2 + sqrt(700)*3 - (sqrt(700) - (sqrt(700) + (sqrt(700) - (0 + sqrt(700))) + sqrt(700)))*-3)*-3)**2 + -2.
34
Simplify ((sqrt(30)/sqrt(2)*2)/sqrt(5))**2 - (sqrt(36)/(1*sqrt(12)) + (sqrt(6)/(2*sqrt(2)))**2).
-sqrt(3) + 45/4
Simplify ((sqrt(95) + -2*sqrt(95))/sqrt(5) - sqrt(19) - (sqrt(2736) + 1))**2 - -3*((sqrt(19) - (sqrt(19)*2)**2) + 4).
31*sqrt(19) + 3509
Simplify 1 + ((sqrt(114) - (sqrt(114) - (sqrt(114) + sqrt(114)*-2*6 + sqrt(114)))) + sqrt(114)*-2*-4)/((sqrt(420)/(sqrt(21)/sqrt(3)))/sqrt(10)).
-2*sqrt(19) + 1
Simplify sqrt(70)/(sqrt(10)*-2*-4) - ((-2*sqrt(231))/sqrt(11))/sqrt(3).
17*sqrt(7)/8
Simplify ((-4 + sqrt(2448)*3 - sqrt(2448))**2 - (-3*(sqrt(2448) + 2) + sqrt(2448)))*4.
-672*sqrt(17) + 39256
Simplify (-3 + -6*-4*(sqrt(363) - (sqrt(363) + (3 + sqrt(363) - sqrt(363)))))**2.
5625
Simplify ((sqrt(704) + -2)**2 - sqrt(704) - sqrt(704) - (sqrt(1100) + sqrt(44) + 3)**2) + (-5*sqrt(176) - (2*(-2 + sqrt(44)))**2).
-1077 - 108*sqrt(11)
Simplify -1*-5*(-4*(-2 + sqrt(252) + 4*sqrt(252)*4 + sqrt(252)))**2.
-34560*sqrt(7) + 6532160
Simplify ((1*sqrt(209) - sqrt(209) - sqrt(209))*5 + (sqrt(209) - (sqrt(209) - 1*sqrt(209)))*4)/((sqrt(99) - 5*sqrt(99)*-3)/sqrt(9)).
-sqrt(19)/16
Simplify (5*(5 + -2*-2*(sqrt(162) + 1 + sqrt(162) + 4)))**2.
90000*sqrt(2) + 274825
Simplify 5 + -4*(5 + (0 + sqrt(153) + 1)**2)*6.
-3811 - 144*sqrt(17)
Simplify (sqrt(143) - (-2*sqrt(143) - sqrt(143)))/sqrt(11) + 1 + (-1 + (-1 + sqrt(13) - sqrt(13)) - (-3 + sqrt(13) + sqrt(117))).
2
Simplify (sqrt(132)*-2)/((sqrt(11)*3 + sqrt(11))*-2).
sqrt(3)/2
Simplify (-6*((sqrt(504)*2 + sqrt(504))/sqrt(9) + sqrt(56)))/(-2*sqrt(8)*4 - (sqrt(512) + sqrt(32))).
4*sqrt(7)/3
Simplify (3 + (sqrt(105)/sqrt(3))/sqrt(7) + -3*sqrt(20) + sqrt(45) + -3)**2.
20
Simplify ((sqrt(320) + 3*sqrt(320) + 5)*6 + -3)**2.
10368*sqrt(5) + 185049
Simplify (-2*sqrt(171)*-3 - -2*sqrt(171)*-5)/((sqrt(225) - -6*(sqrt(225) - (sqrt(225) - sqrt(225)*-2))) + sqrt(225)).
2*sqrt(19)/25
Simplify (-4*(sqrt(70) - 2*sqrt(70)) - 4*1*sqrt(70))/(sqrt(250)*2 - (-2*sqrt(10)*-6 - sqrt(10))).
0
Simplify 4 + -3*(sqrt(12)/(sqrt(6) + ((sqrt(30) - ((sqrt(30) - (sqrt(30) + 3*sqrt(30))) + sqrt(30)))/sqrt(5) + sqrt(6) - sqrt(6))))**2.
29/8
Simplify (4*((sqrt(17) + -3 + sqrt(17) + 1 - sqrt(17)) + -3 - sqrt(136)/(sqrt(24)/(sqrt(3) + sqrt(12)/sqrt(4)))))**2.
160*sqrt(17) + 672
Simplify 0 + 3 + -6*(sqrt(704)*2*1 + sqrt(704)) + -1.
-144*sqrt(11) + 2
Simplify (((-2*sqrt(392)*-3 - sqrt(392) - sqrt(392)) + sqrt(392) + sqrt(392))/sqrt(8))/(-1*sqrt(63) - -2*sqrt(7)*-1).
-6*sqrt(7)/5
Simplify (((sqrt(102) - sqrt(102)*-2)*-4)/((sqrt(60)*2)/sqrt(10) - sqrt(6)))**2.
2448
Simplify (sqrt(40)*5)/(sqrt(320)*-6 + sqrt(5))*3.
-30*sqrt(2)/47
Simplify sqrt(5) + (sqrt(5) - 6*sqrt(5))*-4 + -1 + (((sqrt(5) + sqrt(5) + sqrt(5) + sqrt(25)/(3*sqrt(5)) - sqrt(5)) + sqrt(5))**2 - 6*(0 + sqrt(5))).
15*sqrt(5) + 491/9
Simplify (-2*(sqrt(5) + (sqrt(30) - sqrt(30)*-1)/sqrt(6)))**2 + (1 + sqrt(5) + 2 - -1*(-1 + sqrt(5))).
2*sqrt(5) + 182
Simplify ((sqrt(378)*2)/sqrt(6))/((sqrt(99)*-3)/sqrt(11)).
-2*sqrt(7)/3
Simplify 0 + ((sqrt(704)*-6 - (sqrt(121) + sqrt(121) + (sqrt(121) - sqrt(121)*2) + sqrt(121))/sqrt(11))*2)**2.
110000
Simplify (-2 + 5*-1*sqrt(11) + (sqrt(99)*1 - sqrt(99)) + (sqrt(11) - 1*sqrt(396)) + sqrt(891) + -1)**2 + 2.
6*sqrt(11) + 22
Simplify (4*(0 + sqrt(192) + sqrt(192))*1 - (sqrt(192) + (-1*sqrt(192) - sqrt(192)) + 3 - (sqrt(192) - (sqrt(192) + -1 + sqrt(192) + -1))))**2.
-128*sqrt(3) + 12289
Simplify 1 + 1*-5*(sqrt(200)/sqrt(4) + sqrt(50)) + -3.
-50*sqrt(2) - 2
Simplify -3 + (-4*sqrt(77)*-2)/(sqrt(55)/(sqrt(5) + -1*sqrt(5) + sqrt(5))) + -4.
-7 + 8*sqrt(7)
Simplify ((sqrt(88)/(sqrt(11) - (sqrt(99) - sqrt(11))))/(sqrt(44)/(sqrt(110)/sqrt(10)) + sqrt(4)))**2.
1/2
Simplify (-4 + 4 + ((sqrt(252) - (sqrt(252) - (sqrt(252) - (sqrt(252) - (-4 + sqrt(252)))))) + -5 + sqrt(252))*4)**2.
-3456*sqrt(7) + 17424
Simplify (-1*sqrt(1053)*2)**2*5 - ((sqrt(1053) + -1*(sqrt(1053) + 0 + sqrt(1053) + sqrt(1053)) - sqrt(1053))**2 + 0).
11583
Simplify (-1 + sqrt(1900) + 3 + (2 + sqrt(19))*5 + (sqrt(19) - sqrt(171)/(sqrt(18)/sqrt(2))))**2.
360*sqrt(19) + 4419
Simplify ((4*(sqrt(1260) + sqrt(35)))/sqrt(5))**2 - ((sqrt(35) - sqrt(560) - sqrt(35))/sqrt(5) + sqrt(343)*-2).
18*sqrt(7) + 5488
Simplify ((sqrt(70)*3)/sqrt(10) - sqrt(7) - (sqrt(77)/(sqrt(176) - sqrt(11)) + sqrt(7))) + ((sqrt(7)*2 + sqrt(7))*1 - (sqrt(112)*6)**2).
-4032 + 11*sqrt(7)/3
Simplify 6*(((sqrt(208) + -1 + 0 - -1*(2*sqrt(208) + sqrt(208)))*6)**2 + -4).
-6912*sqrt(13) + 719040
Simplify ((sqrt(684)*-1 - sqrt(684)) + -3 + 0 + (3 + 0 + sqrt(684))*-5)**2.
1512*sqrt(19) + 33840
Simplify ((sqrt(351)*6 + sqrt(39))/(sqrt(432)*3))**2.
4693/1296
Simplify ((-2*sqrt(208)*-5 - (sqrt(208) + 5*(sqrt(208) + sqrt(208) + 2) + sqrt(208)))*1)**2.
160*sqrt(13) + 932
Simplify (sqrt(153)*1*6)**2 - (4*(sqrt(170) - (sqrt(170)*-2 - sqrt(170))))/sqrt(10).
-16*sqrt(17) + 5508
Simplify ((sqrt( | {
"pile_set_name": "DM Mathematics"
} |
+ (-40 - 25)
-47
Calculate 62 + -5 + (19 - 17 - (6 + -8)) + 1.
62
Evaluate 2 + 4 + (18 - (24 + -20)).
20
Evaluate (-13 - (-2 - 13)) + -24 + -9.
-31
What is the value of (207 - (204 + -52)) + -105?
-50
What is the value of (19 - 5) + (-3 - (3 + 2)) - -37?
43
What is the value of (271 - 181) + (14 - 9) + -40?
55
Evaluate 11 - (-10 + -2 + (-11 - -2 - -2)).
30
Evaluate -625 - -488 - (-253 + -3).
119
What is 2 + (-16 - -29 - 6) + (2 - 14) + -25?
-28
Evaluate (63 + -101 - 67) + 62.
-43
Evaluate -2 + 9 - 30 - 2 - -92.
67
Calculate 9 - (9 - (-4 - (9 - 27))).
14
What is (8 - 5) + 75 - ((115 - 54) + -55)?
72
What is -48 + -39 + 43 + 75 + -10?
21
What is 6 + -1 - (113 + 4 + -5 + -4 + -7)?
-96
What is the value of -15 + (2 + (-24 - -3) - -11)?
-23
What is the value of 6 - (-5 - -14 - 0 - -10)?
-13
What is -4 - ((4 - (-28 - (-29 + 5))) + -151)?
139
Calculate 2 - -30 - (-16 + 18 - 8 - -13).
25
Calculate 16 + (2 - -4) + (14 - ((-2 - -22) + 10)).
6
Evaluate -11 - ((-13 - (-13 - 17)) + -25).
-3
-9 + 0 + 3848 + -3823
16
What is -55 + (5 + -22 - (73 - 107))?
-38
Calculate -47 + 95 + -57 + (-4 - ((-5 - -3) + -1)).
-10
(-13 - -2) + 34 + -19 + -7 - (-15 - 27)
39
What is the value of -1 - -8 - (-32 - (-10 - (2 + 17)))?
10
What is -23 + (22 - 15) + -13 + 44?
15
Evaluate 1 - 114 - (-2047 - -2020).
-86
-9 - (-605 + 554 - (-1 - ((0 - -2) + -1)))
40
What is -3 + (71 - 42) - 6?
20
What is -46 - (-9 + -48) - -6?
17
Calculate (-3 - 0) + 38 + (-214 - -211).
32
What is -21 - (-69 - 14) - 23?
39
Calculate 29 + (-28 - (-36 + 29)) - (-33 + 0 - 3).
44
-177 + -40 + 37 + 119
-61
What is (26 - (28 - 4) - (9 + 0)) + -6?
-13
What is the value of 14 + -2 - ((0 - (0 - 17)) + -12)?
7
Evaluate (46 - (-6 - -3)) + (-1577 - -1571).
43
Calculate (68 - (-46 - 17)) + -134.
-3
What is 14 + -32 + 84 + -10 + 1 + -2 + 3?
58
Calculate 117 + -32 - (212 + -177).
50
What is the value of 37 + (-17 - (-12 + 5) - (4 + -2) - -11)?
36
Calculate (-1 - (11 + -4)) + (34 - (17 - -2)) + -14.
-7
Calculate 128 - ((-21 - -41) + 64).
44
What is the value of (-1 - (46 - (-7 + 1))) + 62 + -51?
-42
What is the value of (-18 - 0) + (105 - 167) + 24?
-56
-29 + 30 + -7 - 0
-6
What is -70 + (-5 - -11) - (24 + -47 + 15)?
-56
Calculate 5 - (67 + -50 - 44).
32
Evaluate 6 + (12 + -17 - -9) + 1.
11
What is the value of (-69 + 41 - -53) + -40?
-15
Calculate (0 - -65) + 81 + 40 + -122 + (-11 - -2).
55
What is 2 + -28 + -1607 + 1672?
39
What is (-22 + -2 - (-66 - -22)) + 18?
38
Calculate -519 + 536 - (8 + (3 - -4)).
2
What is the value of -8 + (-6 + 28 - (76 + -19))?
-43
Calculate 0 + 20 + -2 - (3565 + -3588).
41
What is -22 - -3 - 24 - -89?
46
Evaluate 99 + (-156 - -71) + -53 + 0.
-39
What is -39 - ((71 - 95) + 8)?
-23
(38 - (59 - -50)) + 98
27
Calculate 8 + 2 - (17 + -1 - (-102 - -110)) - 64.
-62
3 + 0 + -17 + (39 - (17 - 7))
15
Calculate 0 + -31 + (221 - (178 - -48)).
-36
Calculate -3 + ((-34 - -30) + -16 + 9 - -99).
85
What is the value of -9 - (-71 - -27 - 12)?
47
Evaluate -6 + 20 + -5 + -246 + 312.
75
What is the value of 0 + 1 + 1 - 4 - (55 - (-306 + 317))?
-46
Calculate (22 - -22 - 23) + -60.
-39
(8 - ((-3 - -12) + -10)) + -9 + 25
25
Evaluate 1 + -7 + -14 + 9 + 3 + -2.
-10
Evaluate 29 + (-24 - (-109 + 75)).
39
What is the value of -59 - (-4 + (7 - 3) + (-45 - -52)) - -3?
-63
What is the value of -1 - ((-44 - 2) + (-15 + 9 + -9 - -6))?
54
Calculate ((-594 - -588) + (-1 - (-21 - 1)) - 7) + 19.
27
Evaluate -28 + (-11 - -72) + -28.
5
What is the value of -13 + 25 + -14 + 3 + 6 + -27 + 5?
-15
What is (0 - (-9 + 19) - 39) + 23?
-26
What is -10 + 17 + -15 + -9 + 4 + 57?
44
Calculate ((5 - (-5 + 9)) + -1 - -4) + -10 + 16.
10
What is 98 + 106 + -107 + -58?
39
What is -46 - (50 - (-52 - -59))?
-89
7 + -9 - (19 + (25 - 52))
6
What is the value of (-36 + 94 - 44) + (3 - (5 - (0 + 4)))?
16
144 + 103 - 104 - (6 + 0 + (0 - -1))
136
-58 + 6 - (26 - (-2 + 32))
-48
What is the value of -6 - 72 - (163 - 163) - -32?
-46
60 + -8 + -23 + 9 - 5
33
Calculate (-110 - (-194 + 89)) + (3 - 4) + 19.
13
What is the value of (-136 - -181) + 18 + -3?
60
Calculate -24 + (70 + -58 - (7 + -3)).
-16
What is -10183 + 10260 - (0 + 33)?
44
What is (-5 - (-58 - 5)) + -5 + 5 + -4 + 11?
65
7 - ((7 - -1) + 17 + -23 + (18 - 17))
4
What is the value of 7 - 5 - (16 - 0 - (176 - 159))?
3
What is the value of -95 + 140 + 17 + (-2 + 0 - -1) + -1?
60
Calculate (-8 - 2) + (-355 - -329) - (6 + -14).
-28
-10 + -8 + 56 - (-8 - (1 - 2))
45
Evaluate (27 + 35 - 19) + (-15 - -2 - 0).
30
Evaluate (17 - (12 - -2)) + -21 + -41.
-59
What is the value of -1 - -10 - (-290 - -260 - -97)?
-58
Calculate 1826 + -1868 + 50 + -1.
7
6 - (-12 - (53 - 40))
31
What is the value of 19 + -24 + 24 + -6 + -16?
-3
Calculate -10 - (-6 - (-75 + -1 + -57 + 26 + 23)).
-88
Evaluate -11 - (56 - -37 - 17).
-87
-5 - (20 + -9 + (2 - 0) + -7 + -9)
-2
-255 - -201 - (75 + -113)
-16
Calculate -43 - -123 - 37 - 26.
17
111 + (12 - (0 - -19) - (-14 + -3))
121
What is 1 - ((-13 - -3) + 6)?
5
Calculate 1 + -47 + 160 + 230 + -417.
-73
What is (106 + 19 - 108) + 110?
127
Evaluate 17 + (0 - 5 - (27 + -61)).
46
What is the value of -14 - (-167 + 71 - (1 + -18) - -6)?
59
-1 - (34 - (0 - 4)) - (-63 - -70)
-46
Calculate -112 - -97 - (-1 - 4) - (12 + 21 + 64).
-107
-635 + 753 - (-1 + 30)
89
Evaluate 40 + -49 + -3 + 4 + 12.
4
What is the value of 4 - (-2 + (23 - (-3 + 43)))?
23
What is 14 + -27 + -7 - (-27 - -21) - 7?
-21
Evaluate 14469 - 14448 - (-2 + 1 + -33).
55
Evaluate 21 - 11 - (-3 + 5 + 16 - 3).
-5
What is -6 + -11 + (15 - -58)?
56
What is (-20 - -1 - (1627 - 1669)) + -114?
-91
Evaluate -46 + (-40 - ((-31 - 29) + -23)).
-3
Evaluate -51 + (38 - -8) + (-2 - 70) + -2 + 4.
-75
What is 12 + (10 - -2) - (-2 - (4 + -1))?
29
What is the value of 383 + (287 - 668) - ((-15 - (-1 - 0)) + -1)?
17
(-1039 - -980) + (22 - 1)
-38
Calculate -26 + 23 + 6 - (-2 + -4 - -5) - 89.
-85
What is the value of 31 + (-45 - -48) + 2?
36
(-519 - -698) + (-5 - 65)
109
Evaluate 21 + 58 + -19 - -13 - 11 - (-1 - 0).
63
What is 2 + -4 + 48 - (176 + -171)?
41
Evaluate -1 + -11 - (-74 + (92 - 89)).
59
What is 13 - 9 - ((-25 - -26) + -14)?
17
What is (-18 + (7 - -6) - 3 - 7) + 14?
-1
(16 - 8) + 2 + -27 + -15
-32
5 + -32 + (-38 + 7 - -13) + 15 + 8
-22
What is -6 + 7 + -15 - (-19 + -44)?
49
Calculate 4389 + -4403 - (2 + -2 + -11).
-3
Calculate -18 + 1 + (1 - -9) - 40 - (-13 - -20).
-54
-1 + 171 + 697 + -806
61
Evaluate (-1 - 0 - 5) + 114956 + -114960.
-10
-7 - (0 - (9 + (9 - (-4 - -7))) - -19)
-11
Evaluate -82 - ((5 - 7) + (5 - (-13 - -24 - 10))).
-84
What is 16 - (24 - 18) - ((6 - 3) + 75 + -4)?
-64
What is the value of 78 - 119 - -147 - 49?
57
-127 + 26 + -1 + (671 + -675 - (-1 - -10))
-115
Evaluate -61 - (9 + -4 + -4) - (-11 + 6).
-57
What is -2 + 2 + (0 - -2) + -145 + (-109 - -276)?
24
Evaluate 13 + -7 - 0 - 4 - (-14 - 1).
17
What is the value of -2 + (-26 - 1 - (-9 - (-41 + 5 - -19)))?
-37
Calculate 40 - (-20 - -77 - 13).
-4
What is the value of -6 + (4 - -7 - (-6 + 29 + 18))?
-36
Calculate (-2 + 1 + -24 - (5840 - 5846)) + -18.
-37
What is (32 - 0) + -4665 + 4685?
52
Evaluate 105 - -3 - (-836 + 872).
72
Calculate -5 + 48 + -95 + 29.
-23
Evaluate (1044 - 1060) + (-1 + 0 - -13).
-4
What is -17 + -4 + 40 - (62 + -1 + -2)?
-40
What is -279 + 89 + 166 + (-1 - -19)?
-6
Evaluate -9 + 0 - (-73 - -98 - 40).
6
(-112 - -39 - -42) + -17
-48
What is 19 + -21 + 68 + 5 + (-3 - 3) - 5?
60
What is -14 + (10 - 4 - -26) - -25?
43
Evaluate 41 + (132 - 206) - (26 - 0).
-59
What is the value of -5 - (-87 + 38 - 7)?
51
What is the value of (15 - 5) + -118 - (-26 - -37)?
-119
-19 - (11 + -20 + 0 + 193 + -187)
-16
Evaluate 1 + (-3 - -4) - (189 - 54 - 61).
-72
Calculate (-2 - (3 - 0)) + -110 - (-287 + 274).
-102
What is the value of -17 + 1 - (6 + 21 - 1 - 20)?
-22
Evaluate 118 - -2 - (33 + -2 + -7 + -9).
105
What is the value of -2 + 2 - (-12 + 13 - 13) - 46?
-34
Calculate 20 + -5 + (7 - 29) + -5.
-12
-3215 - -3033 - (-117 + 3)
-68
What is 20 + -13 + 10 + 2 + -15 - (29 - 2)?
-23
What is the value of (54 - (21 - -54)) + 17 - (-1 - (1 - 1))?
-3
Calculate -83 + (-26 - (-27 + -26 + -1)).
-55
Evaluate 12 + (18 - (-6 + 5 + -17 + 26)).
22
-29 + (7 - (-64 - -137))
-95
What is 391 + -298 + (-36 + 2 - -3)?
62
What is -1 + -5 - ((34 - 39 - 0) + -3 + 8)?
-6
(-20 - -20) + (19 + 0 - ((31 | {
"pile_set_name": "DM Mathematics"
} |
**2. What is q(o(r))?
50*r**2
Let j(h) = -h**2. Let p(a) be the first derivative of -5/2*a**2 + 0*a - 6. Give j(p(s)).
-25*s**2
Let t(k) = k**2. Let v(x) = 2*x - 13. Let o(q) = -q + 6. Let i(l) = -13*o(l) - 6*v(l). Determine t(i(d)).
d**2
Let b(c) be the first derivative of 2 + 1/2*c**2 + 0*c. Let g(h) = h. What is b(g(f))?
f
Let w(z) = -2*z**2. Let b(c) be the second derivative of -5*c**3/6 - 3*c. What is w(b(s))?
-50*s**2
Let p(l) be the third derivative of 0*l**3 + 0 + 0*l + 1/12*l**4 - 4*l**2. Let n(x) = -3*x**2. Determine p(n(k)).
-6*k**2
Let d(c) = -28*c. Let r(h) = -4*h. Calculate d(r(w)).
112*w
Let j(w) = w**2. Let t(i) = -10*i**2. Let q(b) = -14*j(b) - 2*t(b). Let n(d) = 2*d. Give q(n(f)).
24*f**2
Let a(s) = -791*s. Let y(l) = 2*l**2. Calculate a(y(x)).
-1582*x**2
Let r(w) = 3*w. Let c(a) = 56*a**2 + 2. Give r(c(z)).
168*z**2 + 6
Let t(u) = 44*u**2 - 2*u. Let v(h) = -3*h + 7. Calculate v(t(q)).
-132*q**2 + 6*q + 7
Let s(y) = -8*y. Let k(u) = u - 2. Let b be k(2). Let l(j) = -5*j - j + 4*j + b*j. Determine l(s(g)).
16*g
Let f(s) = 187*s. Let j(r) = -5*r**2. Determine j(f(t)).
-174845*t**2
Let c(a) be the first derivative of 23*a**3/3 + 10. Let g(j) = -j. Give c(g(m)).
23*m**2
Let u(h) = -5*h. Let n(p) = 2*p**2 - 5*p**2 + 5*p**2. What is u(n(a))?
-10*a**2
Let u(l) = 6*l**2 - 21*l - 21. Let q(r) = -r**2 + 4*r + 4. Let h(f) = 21*q(f) + 4*u(f). Let w(x) be the second derivative of x**4/6 - 14*x. Determine w(h(n)).
18*n**4
Let r(w) be the third derivative of w**6/360 - 5*w**4/24 - 6*w**2. Let v(n) be the second derivative of r(n). Let x(l) = 9*l**2. What is x(v(h))?
36*h**2
Let q(w) = -2*w**2. Let p(k) = 111*k**2. What is q(p(v))?
-24642*v**4
Let s(x) = -x**2 - 20*x. Let k(u) = u + 35 - 35. Determine k(s(z)).
-z**2 - 20*z
Let m(q) = -9*q**2. Suppose -2 = -p - 0. Let o(v) = 12*v**2 + 11*v + 11. Let z(t) = -t**2 - t - 1. Let u(j) = p*o(j) + 22*z(j). What is u(m(a))?
162*a**4
Let r(z) = 385*z - 385*z - 2*z**2. Let s(w) = 15*w**2. What is s(r(f))?
60*f**4
Suppose -2*t - 3*t = -10. Let g(r) = -t*r + 2*r + r**2. Let h(j) = -8*j**2 - 6. Let q(l) = 7*l**2 + 5. Let a(x) = 5*h(x) + 6*q(x). Give g(a(b)).
4*b**4
Let i(r) = r. Let k be 2 - 4 - (-9 + 3). Let n(d) = -k*d - 2*d - 5 + 5. What is n(i(v))?
-6*v
Let v = 1 + 1. Let x(t) = t**v + 7*t**2 - 6*t**2. Let c(z) = -z**2. Give x(c(j)).
2*j**4
Let a(p) = 4*p. Let r(d) = 5*d**2 + 0*d**2 - 5*d**2 - d**2. Calculate a(r(t)).
-4*t**2
Let o(b) = 8 - 8 + 2*b**2. Let l(u) = 2*u - 8. Let h(f) = -f + 3. Suppose 2*y + 3*m - 3 = 0, -2*y + 3*m = -m + 18. Let i(g) = y*l(g) - 8*h(g). Give o(i(t)).
8*t**2
Let y(i) = 10*i + 3. Let r(z) = -299*z - 91. Let c(x) = 3*r(x) + 91*y(x). Let k(u) = -u**2. Calculate c(k(s)).
-13*s**2
Let i(u) = -u. Let x(a) = -a**3 + 7*a**2 - 7*a + 9. Let o be x(6). Suppose -q = 4*q - 5*g + 5, -3*g + o = 5*q. Let j(w) = w - 5*w + q*w. Determine j(i(p)).
4*p
Let o = -11 - -15. Let r(c) = 3*c - c + 4*c - o*c. Let x(d) = -3*d**2. What is x(r(w))?
-12*w**2
Let b(w) = -281*w. Let v(n) = -16*n. Give b(v(u)).
4496*u
Let a(o) = 17*o**2 - 10*o. Let k(d) = d**2. What is a(k(t))?
17*t**4 - 10*t**2
Let f(g) = 3*g. Let b(w) be the third derivative of 3*w**4/8 + 2*w**2 - 3*w. Determine b(f(o)).
27*o
Suppose -4*l + 3*f = -3*l - 18, -f + 170 = 5*l. Let x be (0 + l)*(3 + -2). Let q(r) = 33 - r - x. Let z(s) = 2*s. What is q(z(k))?
-2*k
Let i(a) = 3 - 3 - a. Let p = -6 + 13. Let q(l) = 6*l**2 - 13*l**2 + p*l**2 + 4*l**2. What is i(q(v))?
-4*v**2
Let x(o) = -o**2 + 8*o**2 + 4*o**2 - o**2. Let d(r) = r. Determine x(d(k)).
10*k**2
Let o(a) = -3*a**2 + 8*a**2 - 7*a**2. Let j(w) = 6*w**2. Give o(j(i)).
-72*i**4
Let i(r) = 15*r. Let v(q) = -556*q**2. Determine v(i(j)).
-125100*j**2
Let u(h) = -1 + 1 - 2*h. Suppose -3*i + 8*i + 4*o = 0, 5*i = 3*o. Let k(v) = i*v + 5*v - 4*v - 3*v. What is k(u(w))?
4*w
Let d(z) = -z**2. Let b(a) = -23*a - 10 - 2 - 20 - 61*a. Let i(u) = 13*u + 5. Let v(q) = 5*b(q) + 32*i(q). Give v(d(x)).
4*x**2
Let s(t) be the first derivative of 4*t**2 - 23. Let q(k) = 2*k**2. Calculate q(s(x)).
128*x**2
Let v(m) = 637*m. Let c(k) = -4*k**2. Calculate c(v(a)).
-1623076*a**2
Let y(s) = -2*s**2. Let a(g) = -833*g**2 - 49*g + 98. Let j(m) = -104*m**2 - 6*m + 12. Let d(o) = -6*a(o) + 49*j(o). What is y(d(k))?
-19208*k**4
Let r(d) = -3*d. Let u(w) = 8*w + 5. Let a(z) = 1. Let y(g) = -5*a(g) + u(g). Determine r(y(l)).
-24*l
Let d(o) = -16*o. Let q(n) = -2*n + 18. What is q(d(p))?
32*p + 18
Let h(u) = -u**2. Let p(j) = 60*j. What is p(h(i))?
-60*i**2
Let i be 14/8 + (-4)/(-16). Let p(o) = 4 - 4 + i*o. Let f(r) = -r**2. What is f(p(l))?
-4*l**2
Let x(u) = 62*u. Let k(c) = 2*c**2. Calculate x(k(y)).
124*y**2
Let r(t) = -t. Let a(p) = -5*p + 5*p + 53*p**2 - 55*p**2 - 7*p. Calculate a(r(w)).
-2*w**2 + 7*w
Let h(v) = 14*v**2. Let f(x) = 53*x. What is h(f(p))?
39326*p**2
Let k(g) = 2*g**2. Let c(p) = -1286*p - 13. Determine c(k(i)).
-2572*i**2 - 13
Let g(d) = 258 - 258 + d. Let i(r) = -r**2. Determine g(i(l)).
-l**2
Let a(p) = -8*p. Let n(d) = -19*d**2. Give n(a(v)).
-1216*v**2
Let m(g) be the second derivative of -g**7/840 + g**4/6 - g. Let a(v) be the third derivative of m(v). Let h(l) = 0*l + l + 2*l. Give a(h(o)).
-27*o**2
Let n(c) = 2*c**2. Let k(h) = 976*h. Calculate k(n(a)).
1952*a**2
Let f(i) be the third derivative of -i**4/24 - 3*i**2. Let k(a) = 4. Let x(s) = -s + 1. Let b(u) = k(u) - 4*x(u). Determine f(b(q)).
-4*q
Let m(r) = r. Let j(o) = -8*o**2 + 16*o**2 - o**2. Determine m(j(k)).
7*k**2
Let w(d) = -3*d**2. Suppose -3*y + 4*a = 4, y + 16 = 4*a + 4. Let n(x) = 2*x**2 - x**2 - y*x**2. Determine n(w(m)).
-27*m**4
Let m be ((-12)/(-16))/((-1)/(-8)). Let j(z) = z**2 + m*z - 6*z. Let t(i) be the second derivative of i**3/6 + i. What is j(t(h))?
h**2
Let y(z) be the second derivative of -5*z**3/6 + 2*z**2 - 9*z. Let u(g) = 2*g. Give y(u(f)).
-10*f + 4
Let t(r) = 6 + r - 6. Let z(w) = -5*w**2. What is t(z(s))?
-5*s**2
Let k(q) be the second derivative of -q**5/40 - 7*q**3/6 - 2*q. Let m(s) be the second derivative of k(s). Let x(l) = 4*l. Determine m(x(t)).
-12*t
Let c(j) be the second derivative of -j + 1/12*j**4 + 0 + 0*j**3 + 0*j**2. Let k(n) = -8*n. Determine c(k(m)).
64*m**2
Let p(a) = a. Let o(f) = 23*f. Let h(w) = -162*w. Let u(v) = 2*h(v) + 15*o(v). Give u(p(i)).
21*i
Let j(r) = -3*r - 6. Let z(m) = 5*m + 11. Let l(c) = 11*j(c) + 6*z(c). Let w(v) = -2*v. What is w(l(q))?
6*q
Let c(g) = -g**2. Let h(o) be the first derivative of 2*o**2 + 3*o**2 - 4*o**2 - 1. Calculate c(h(i)).
-4*i**2
Let f(r) = 10*r**2. Let y(z) = 147*z**2. What is y(f(a))?
14700*a**4
Let w(l) = -237*l**2. Let t(x) = 23*x**2. What is w(t(s))?
-125373*s**4
Let c(t) = t. Let x(a) = -91 + 91 + 19*a**2. Let m(n) = 37*n**2. Let d(l) = 4*m(l) - 7*x(l). What is d(c(f))?
15*f**2
Let m(c) = -17*c - 2. Let h(w) = -3*w**2. What is h(m(n))?
-867*n**2 - 204*n - 12
Let z(u) = -25*u**2. Let y(l) = 7*l. Give y(z(o)).
-175*o**2
Let l(h) = 2*h**2. Let p(x) = -359*x**2. Calculate l(p(a)).
257762*a**4
Let v(i) = 2*i. Let d(l) = 34*l + 12*l - 20*l. What is v(d(u))?
52*u
Let n(j) = -7*j. Let t(m) = -10*m + 9. Let o(i) = -i + 1. Let u(f) = -18*o(f) + 2*t(f). Determine n(u(k)).
14*k
Let w(j) = 8*j. Let l(m) = 4*m. Let d(q) = -9*l(q) + 4*w(q). Let f(v) = -v**2 - v**2 + 5*v**2. What is f(d(p))?
48*p**2
Let f(c) be the third derivative of c**8/2880 + c**5/30 - 3*c**2. Let v(w) be the third derivative of f(w). Let z(y) = 2*y. Determine v(z(i)).
28*i**2
Let u(j) be the first derivative of 2*j**3/3 + 12. Let p(d) = -4*d + 5. Suppose 0 = -m - 2 + 1. Let h(s) = s - 1. Let k(c) = m*p(c) - 5*h(c). What is u(k(b))?
2*b**2
Let o(z) = 2*z. Let c(m) = m**2 + 227*m + 1. What is c(o(v))?
4*v**2 + 454*v + 1
Let t(c) = 2*c. Let m(k) = -13*k. Let y(b) = -m(b) - 13*t(b). Let q(g) = g. Calculate y(q(o)).
-13*o
Let f(y) = -3*y**2. Let n(j) = 6*j**2 - 20. Let i(z) = 2*z**2 - 6. Let k(g) = 10*i(g) - 3*n(g). Calculate k(f(o)).
18*o**4
Let w(t) = t**2. Let g(y) = 15*y**2 + 12*y**2 - 26*y**2. What is g(w(x))?
x**4
Let h = -11 + 11. Let d(m) = -2*m + h - m + 0. Let l(b) = -b**2. Calculate l(d(v)).
-9*v**2
Let z(h) = -3*h - 1. Let k(o) = -10*o. What is k(z(p))?
30*p + 10
Let v(m) be the second derivative of -m**3/2 - m. Let d(b) = -5*b. Determine d(v(a)).
15*a
Let j(u) be the first d | {
"pile_set_name": "DM Mathematics"
} |
0
Work out -150.996 * 6.
-905.976
-19598 * 6058
-118724684
Work out 0.006 * -46413.
-278.478
What is the product of -29150 and -0.392?
11426.8
Multiply 21 and -498316.
-10464636
Calculate 2936*113647.
333667592
0*-2.3148694
0
708050 * 12
8496600
Multiply -0.3 and -17122176.
5136652.8
-2864421*0.4
-1145768.4
0.1318 times -853.96
-112.551928
-3 times 0.03218704
-0.09656112
Product of -155.4961 and 1.
-155.4961
What is the product of -277.999 and 0.345?
-95.909655
Calculate 222.1*-0.14518.
-32.244478
67 times 115.909
7765.903
Calculate 0.12*26952.
3234.24
-3767430 * -4
15069720
Work out 2.217089 * 128.
283.787392
Calculate 0.5*-82534806.
-41267403
-126*6691331
-843107706
-11.0419*0.1
-1.10419
Product of 0 and -57.58131.
0
Multiply 0.6 and 384630.
230778
Product of -7 and -196159.
1373113
45077330 * -0.1
-4507733
65342.58 times -55
-3593841.9
831291 * 9
7481619
Multiply 1883 and -2745.
-5168835
Multiply -157 and 89092.
-13987444
638355 * 3
1915065
What is the product of 1203815.49 and 6?
7222892.94
Work out 506446 * 45.5.
23043293
What is the product of 6991 and 688?
4809808
Calculate -15834726*10.
-158347260
-18590*0.213
-3959.67
What is -1485152 times -0.29?
430694.08
-0.00168 times -40481
68.00808
What is -209021.2 times -27?
5643572.4
What is -4 times -81711185?
326844740
-6836 times 0.36036
-2463.42096
-10279822 * 14
-143917508
1459 * 252.2
367959.8
Work out -1552544.99 * -0.4.
621017.996
-4 times 50307233
-201228932
Calculate 0.4*66.87205.
26.74882
3.7*725511.7
2684393.29
Work out -3 * 0.7263034.
-2.1789102
Calculate 0.05*-11056783.
-552839.15
What is the product of 19 and -3916677?
-74416863
2605 * 25568
66604640
Multiply -162 and 0.03187.
-5.16294
Product of 16417 and 16.549.
271684.933
-8 times 308015.9
-2464127.2
Calculate 241*19570.
4716370
What is the product of -71034643 and -1?
71034643
What is the product of -31 and 5120?
-158720
Multiply -7 and -372947.3.
2610631.1
Product of -179938 and 0.043.
-7737.334
What is -261.1 times -20116?
5252287.6
-22849.3 times 6
-137095.8
Calculate 1014*-16090.
-16315260
-18*-84848
1527264
148.44565 times 5
742.22825
-1 * -3752996
3752996
-168.6 * -574.9
96928.14
What is 4.6 times 595.81?
2740.726
Work out -68.63 * -828.3.
56846.229
What is 0.46947 times -855?
-401.39685
17.863164 times -0.04
-0.71452656
Calculate 757994485*3.
2273983455
Calculate 0.3*-58.066663.
-17.4199989
Work out -0.4 * -539.92552.
215.970208
-78*-1564284
122014152
Calculate -22687*5141.
-116633867
Work out -6.7 * -493865.
3308895.5
1757055 * 0.1
175705.5
-4.19 times -1624
6804.56
Product of -2 and -3404.19.
6808.38
What is -106 times 79032?
-8377392
Multiply -0.711524 and -75.
53.3643
0.261*-8.0254
-2.0946294
140374 times -0.569
-79872.806
Product of 1.61 and 83550.1.
134515.661
1399.4 times 35
48979
What is 348.6275 times -38?
-13247.845
Work out 0.1512 * -3604.
-544.9248
15243529 * 4
60974116
0.03402 * -17155
-583.6131
What is the product of -510365 and 0.16?
-81658.4
Multiply 3 and 2347761.
7043283
Work out -15637525 * 6.
-93825150
What is 0.5 times 0.7019?
0.35095
13932231.1*-2
-27864462.2
What is the product of 3969 and 8083?
32081427
56777 times -637
-36166949
What is the product of -14 and -3406523?
47691322
Multiply -499 and -1492581.
744797919
Calculate -109*-547717.
59701153
What is the product of 107752115 and 0.6?
64651269
7243.6*-0.041
-296.9876
-245154 times -0.16
39224.64
Product of 6.36 and 1671.35.
10629.786
274.335 * -0.93
-255.13155
Multiply -9.74075 and -33.
321.44475
Work out -22 * 17433874.
-383545228
Work out -3 * 147388213.
-442164639
Work out 1333.101 * 2.03.
2706.19503
What is the product of -0.109 and 611154?
-66615.786
Multiply 293164.7 and -0.4.
-117265.88
Multiply -0.147 and 22302.
-3278.394
Product of -355 and 1.433.
-508.715
6.74209 * -416
-2804.70944
0.0379 * 0.4884
0.01851036
-3316 times -307.4
1019338.4
Calculate 13*-4913068.5.
-63869890.5
What is the product of 0.0103 and -49904.6?
-514.01738
What is the product of 16.762 and -217?
-3637.354
Product of -12131620 and 0.3.
-3639486
Multiply -3172628.1 and 16.
-50762049.6
Product of -0.4 and 812.448.
-324.9792
Work out 1169329 * 5.
5846645
0.1037393*2
0.2074786
Product of -4 and -2976.0571.
11904.2284
-341121.308 times 0.1
-34112.1308
What is the product of 0.0288781 and 0.9?
0.02599029
What is the product of 0.15515 and 4549?
705.77735
-0.08 * -0.5666733
0.045333864
What is -3783 times 22520?
-85193160
6*9575438
57452628
-12795 times -14917
190863015
What is the product of -0.1 and -183.850781?
18.3850781
-2168984057 * 0.2
-433796811.4
-314.76 * -0.308
96.94608
-1061 times -75781
80403641
Product of -11.18 and 14415.8.
-161168.644
Calculate 117.04*3105.
363409.2
23.178 times 16185
375135.93
4.27438*-920
-3932.4296
-0.3*4105461
-1231638.3
4063.044 * 0.3
1218.9132
0.2 * 221963.9
44392.78
Product of -2.7700386 and -0.1.
0.27700386
2 times -119.95733
-239.91466
Product of 60757.6391 and -0.1.
-6075.76391
Multiply 6645 and 642.
4266090
What is the product of -1744 and -6142.1?
10711822.4
What is 0.00805 times -1970?
-15.8585
-919*0.12946
-118.97374
Multiply 21.9926 and 0.03.
0.659778
Calculate 2*0.5679573.
1.1359146
45.4 * 1378763
62595840.2
Multiply 14364 and -0.055.
-790.02
What is the product of -350216931 and 2?
-700433862
Multiply -1.448 and -38.89.
56.31272
1.7*-200350
-340595
Product of 102572659 and -0.1.
-10257265.9
Work out 0.0495317 * 86.
4.2597262
Work out -0.5 * 0.6602735.
-0.33013675
Calculate -31460*0.227.
-7141.42
Product of 54978.3 and 2.4.
131947.92
Calculate -76382386*0.4.
-30552954.4
Calculate -27422*-3.94.
108042.68
0.13*60909.75
7918.2675
What is the product of -1693009 and 216?
-365689944
-1*10706653
-10706653
Work out -857 * -624.36.
535076.52
3321808 * -0.5
-1660904
Product of 942 and -2.36399.
-2226.87858
Product of -22.645015 and -1.5.
33.9675225
What is the product of 0.45 and -1218678?
-548405.1
What is 103324062.9 times 4?
413296251.6
What is 572597 times 135.5?
77586893.5
Work out -143540 * -98.
14066920
74 times -837472
-61972928
Calculate 6*-0.037809601.
-0.226857606
Product of 0.211307 and -368.
-77.760976
16.4 * -426920
-7001488
1485 times 3907
5801895
What is the product of -206 and -3603.36?
742292.16
What is the product of -36335.6 and -5?
181678
What is -0.0176682 times -1849?
32.6685018
2252*197023
443695796
-168478.774 times 4
-673915.096
Calculate 7794808*0.
0
-46872 times 0.36
-16873.92
-6 * -26120
156720
851075942*-3
-2553227826
Multiply 2.08098618 and 0.3.
0.624295854
Calculate 0.2*9536.47.
1907.294
What is the product of 56 and 52.8388?
2958.9728
Product of -8 and -27.3402.
218.7216
Work out 2340095 * 0.4.
936038
Product of -262 and 16979.9.
-4448733.8
267.44*0.094
25.13936
What is the product of 0.04294759 and 0.2?
0.008589518
Product of 10 and -1467724.
-14677240
-0.61*0.268478
-0.16377158
Product of -34689 and 6.394.
-221801.466
What is the product of -2.2 and 803660?
-1768052
-26378 times -0.0001
2.6378
Multiply -344 and -1346229.
463102776
-0.06 * -3005185
180311.1
Multiply -1.0898754 and -1.
1.0898754
Work out 5041640 * -3.
-15124920
-5.8 times -27511
159563.8
-7572779*3
-22718337
What is the product of -746.1 and 50381?
-37589264.1
5*-2952583
-14762915
-192 * -462.651
88828.992
Work out 0.39 * 713669.
278330.91
Calculate 0.2*-3858.508.
-771.7016
Multiply 63 and -235865.
-14859495
Calculate -0.05*19846.77.
-992.3385
What is 4652 times 6271?
29172692
Work out -6.66488 * -24.
159.95712
Work out 2889421 * -0.02.
-57788.42
-228.746*-0.443
101.334478
What is the product of 0.3 and 9637350?
2891205
-54*-516.296
27879.984
Product of 286 and 5825.
1665950
Calculate -41029.529*11.
-451324.819
Product of 0.326244391 and -2.
-0.652488782
Multiply -356.949747 and -0.5.
178.4748735
-168111 * 1746
-293521806
What is 3011.8361 times 4?
12047.3444
Multiply -155 and -4304.4.
667182
What is the product of -19.8 and 136773?
-2708105.4
What is 4335 times 0.1291?
559.6485
Multiply -0.2 and -0.0191443.
0.00382886
Product of -7968 and -40.
318720
What is the product of 4.941041 and -2.8?
-13.8349148
-89 * -9065
806785
-2789785.4*-0.1
278978.54
Calculate -0.1*182939.
-18293.9
-1243.564 * 0.071
-88.293044
Calculate 832*4.353.
3621.696
Work out 91328 * -507.
-46303296
-7125807*0.01
-71258.07
What is -31 times -2866.7803? | {
"pile_set_name": "DM Mathematics"
} |
u))**(-1/4))**(-32) assuming u is positive.
1
Simplify v**(-5/9)/(v*v**(-25)) assuming v is positive.
v**(211/9)
Simplify ((u**1*u)/u)**(-1/5)/(u/(u**0/u))**(3/7) assuming u is positive.
u**(-37/35)
Simplify ((n/((n/(n/n**1))/n)*n)**(2/41))**(7/5) assuming n is positive.
n**(28/205)
Simplify a**(2/13)*a**(-1/3)/a assuming a is positive.
a**(-46/39)
Simplify s**13/(s**(1/20)*s) assuming s is positive.
s**(239/20)
Simplify ((z/(z*z*z**(1/2)*z))/z)**(-10/3)*(z/(z/z**(1/2))*z*z)**(-48) assuming z is positive.
z**(-325/3)
Simplify ((j*j*j**(1/3)*j)**(2/11))**49 assuming j is positive.
j**(980/33)
Simplify (o**(-1/10)/o)**(-20) assuming o is positive.
o**22
Simplify (t**(-4/7)*t)/t**6*(t**(-2/15)*t)/t*t**(-1) assuming t is positive.
t**(-704/105)
Simplify (x**(3/11)/x*x/x**1)/(x*x**(-1)*x*x**(-2/3)) assuming x is positive.
x**(-35/33)
Simplify v/v**(-3)*v**2*(v**(-3)*v)/(v/((v/(v**5/v)*v*v*v)/v)) assuming v is positive.
v**2
Simplify (l**(-4)/l*l**(-6)*l)/(l**(1/3)*l*l**(-3/2)*l) assuming l is positive.
l**(-65/6)
Simplify (c*c*(c/c**(-2))/c)/(c*c**9)*c**(2/3)*(c*c/(c*c/c**(-5/2)*c))/c assuming c is positive.
c**(-59/6)
Simplify x**2*x*x**(1/5)*(x*x**4)/x**10 assuming x is positive.
x**(-9/5)
Simplify ((v*v*v/(v/(v/(v**(1/8)*v)))*v)/v)/(v/(v**15/v)) assuming v is positive.
v**(119/8)
Simplify (k**(-6/5)*k*k*k*(k/k**(5/2))/k*k)**(-34/5) assuming k is positive.
k**(-51/25)
Simplify (s**(-1))**(-11)/(s**(1/4)*s)**(-3/4) assuming s is positive.
s**(191/16)
Simplify ((b/b**(2/5))**41)**(-3) assuming b is positive.
b**(-369/5)
Simplify c**(-2/5)*c**(1/4) assuming c is positive.
c**(-3/20)
Simplify ((m/(m**(-6)/m))/m**(1/2))/(m**(-1)*m)**(-33) assuming m is positive.
m**(15/2)
Simplify (p/p**21)/p**12 assuming p is positive.
p**(-32)
Simplify ((z**(-5)/z)/z**(-1))**(3/4) assuming z is positive.
z**(-15/4)
Simplify x**25*x*x**(-22) assuming x is positive.
x**4
Simplify (z*z**(1/8))**(-20) assuming z is positive.
z**(-45/2)
Simplify x/((x**14*x)/x)*x*x**(-5/4) assuming x is positive.
x**(-53/4)
Simplify (y**6/y)**(2/3) assuming y is positive.
y**(10/3)
Simplify s**(-2/39)*s**14 assuming s is positive.
s**(544/39)
Simplify (d*d**(2/3)/d*d*d)**36*((d*(d*d**0*d)/d*d)/d*d)/(d*d*d/((d/(d**(2/7)*d))/d*d)*d*d) assuming d is positive.
d**(656/7)
Simplify (v/(v*v/(v*v**(-10)*v)*v))/v**(-5)*v/(v/v**(1/11))*v**(-3/2)*v assuming v is positive.
v**(-119/22)
Simplify ((c/((c/(c/(c/(c*c**(-2))))*c*c*c)/c))**(-15))**(-40) assuming c is positive.
c**(-1800)
Simplify g**(-14)*g**3/g assuming g is positive.
g**(-12)
Simplify (t**0/t*t*(t/((t*t*t**(2/29))/t))/t)/(t**(-1/4)*t*t**7) assuming t is positive.
t**(-1023/116)
Simplify b/(b*(b**(2/11)*b)/b*b)*b*b**20/b assuming b is positive.
b**(207/11)
Simplify (((y*y**(-1))/y)/y)**(-1/22)*y*y**(-4)/y*((y/(y*y/(y**(4/5)/y)))/y)/y assuming y is positive.
y**(-391/55)
Simplify (r**(-8)*r*r/(r/(r/(r/(r*r**(-11))))))**(-7/2) assuming r is positive.
r**(119/2)
Simplify (c*c**(-3)*c*c**(-12)*c)**(-6) assuming c is positive.
c**72
Simplify (c/c**(-3/23)*c)/c*c*c**(2/9) assuming c is positive.
c**(487/207)
Simplify (i/((i/(i/(i*i/i**(-4/5))))/i)*i*i/i**9)**(-3/41) assuming i is positive.
i**(117/205)
Simplify (((q**(-6/13)/q)/q)/q*q)/q**17 assuming q is positive.
q**(-253/13)
Simplify (z*z**(-1/9))/(z*(z*z**9)/z)*((z*z**(1/8)*z*z)/z*z)/(z/(z**(-1)/z)) assuming z is positive.
z**(-647/72)
Simplify (x*x/x**(2/3)*x/(x**6*x*x))/(x**(-5/4)/x**(-4)) assuming x is positive.
x**(-101/12)
Simplify (x*(x*x**(-11))/x)**(-43) assuming x is positive.
x**430
Simplify (g*g*g**25)**27 assuming g is positive.
g**729
Simplify (x*x**(-6)*x*(x*x**(-4)*x*x)/x)/((x*x**(-10))/x**(-2/19)) assuming x is positive.
x**(55/19)
Simplify (l**(2/3)*l)**(-6) assuming l is positive.
l**(-10)
Simplify ((u*u**25)/u)/u*u**(2/37) assuming u is positive.
u**(890/37)
Simplify (f/f**6)/(f*f*(f*f**(-1/4))/f)*f*f*f*f/(f**4*f*f)*f*((f*f*f/f**1*f)/f)/f assuming f is positive.
f**(-27/4)
Simplify ((v*v**(1/2)*v)/v)**(-1/6)*v/(v/v**(-5))*v*v*v**(-1/2) assuming v is positive.
v**(-15/4)
Simplify (k**(-35)*k)/(k**(-1/11)/k) assuming k is positive.
k**(-362/11)
Simplify k**(-27)*k*k**(-6)*k*k assuming k is positive.
k**(-30)
Simplify (r**(-2/7)/r**(-2/13))/(r**0)**14 assuming r is positive.
r**(-12/91)
Simplify (a**(-2/19)/(a*a**4))/((a*a**0*a)/(a/a**(2/7))) assuming a is positive.
a**(-850/133)
Simplify n**(-1/16)*(n/(n*n**(-19)*n))/n assuming n is positive.
n**(271/16)
Simplify o**31*o*o*o/((o/(o**(12/11)*o))/o) assuming o is positive.
o**(397/11)
Simplify (f/(f/(f**(-3/7)/f*f))*((f**(-4/7)*f)/f)/f)**(-2/25) assuming f is positive.
f**(4/25)
Simplify ((y**(-11)*y*y)/y*y**(-2/19))**(-25) assuming y is positive.
y**(4800/19)
Simplify ((p/(p/(p/(p**1/p))))/p)**(7/2) assuming p is positive.
1
Simplify (c/((c*c**8)/c)*(c*c/(c*c**(3/4)/c))/c*c)/(c**(-1)*c*c**(3/2)) assuming c is positive.
c**(-29/4)
Simplify (q/q**1*q*(q**(-4)/q)/q)/(q**(2/9))**14 assuming q is positive.
q**(-73/9)
Simplify u*u**(3/8)*u*u*u/((u*u*u*u**(-2/13)*u)/u)*u**(3/5)*(u*u/u**4*u)/u assuming u is positive.
u**(67/520)
Simplify (c**1)**(26/3) assuming c is positive.
c**(26/3)
Simplify o/(o**(-38)/o*o)*(o*o**28*o)/o assuming o is positive.
o**68
Simplify ((w*w*w/(w/(w**(-12)*w))*w*w)/(w/(w/w**8*w)*w))**(3/17) assuming w is positive.
w**(-45/17)
Simplify (z**(-3)/(z/z**7))/(z*z**(-1))**(-43) assuming z is positive.
z**3
Simplify (a*a**7*a/(a**(-7)*a))**42 assuming a is positive.
a**630
Simplify y**(-1/2)*y**(-4)*y**(-1)*((y/(y/y**(-6))*y)/y)/y assuming y is positive.
y**(-25/2)
Simplify ((g**(1/3)*g)**(3/2))**(-21) assuming g is positive.
g**(-42)
Simplify (h*h**(-3)*h**5)**(-6/5) assuming h is positive.
h**(-18/5)
Simplify b**45*(b/b**(2/7))/b assuming b is positive.
b**(313/7)
Simplify ((z**(-2/9))**(-3/38))**(13/5) assuming z is positive.
z**(13/285)
Simplify y*y/((y/y**(-1/6))/y)*y/((y*y/(y/(y**(-2/25)*y)))/y) assuming y is positive.
y**(287/150)
Simplify ((t/((t*t/t**(-2/5))/t))/t)**(2/3) assuming t is positive.
t**(-14/15)
Simplify (p*p*p/p**0)/(p/(p/p**1))*(p*p**0)**19 assuming p is positive.
p**21
Simplify (k*k/(k*k**5/k)*k**6)**(7/2) assuming k is positive.
k**(21/2)
Simplify (m/(((m/((m*m**(-2/3))/m))/m)/m))**38*((m*m**(2/7))/m)**(-17/5) assuming m is positive.
m**(5218/105)
Simplify v**(-1/19)/(v**(2/7)*v) assuming v is positive.
v**(-178/133)
Simplify (r*r**(-1))**(-5/6) assuming r is positive.
1
Simplify (d*d**5*d*d**5)**35 assuming d is positive.
d**420
Simplify (q**1*q)**(2/19)*(q*q*(q**(-1/3)/q*q)/q)**49 assuming q is positive.
q**(1874/57)
Simplify f**(-10/9)*f*f**(-16/7)*f assuming f is positive.
f**(-88/63)
Simplify (f*f*f**(-2/7))**(-6/11)*(f/(f*f*f**(-3)))/f*f**(-2/7) assuming f is positive.
f**(-17/77)
Simplify ((c*c**7*c)/(c*c**(-2/13)))/((c*c*c/(c*c**(-2/7)/c))/c)**(-11/4) assuming c is positive.
c**(1314/91)
Simplify (c/(c*c/c**0*c))**(3/17)*(c**(1/4))**46 assuming c is positive.
c**(379/34)
Simplify (g*g/(g*g**(-20)))**(-49) assuming g is positive.
g**(-1029)
Simplify (b**(-1/3))**(3/11)*b*b*b**(-3)*b/(b**(-5)/b) assuming b is positive.
b**(65/11)
Simplify (n**1/n)**(-34) assuming n is positive.
1
Simplify (o**(-2/7)*o**(2/31)/o)**(-30) assuming o is positive.
o**(7950/217)
Simplify (v**(-6/5)*v**(1/8))**(-21/8) assuming v is positive.
v**(903/320)
Simplify ((x*x*x/x**(2/9))/(x**(-2/13)/x*x))/(x**3*x)**(-9) assuming x is positive.
x**(4555/117)
Simplify (q**22*q)**(17/2) assuming q is positive.
q**(391/2)
Simplify ((k**(1/3))**(-2/69))**(1/18) assuming k is positive.
k**(-1/1863)
Simplify ((w*w*w**(-1)/w*w)/w)**(-1/7)/(w**(-1))**(2/59) assuming w is positive.
w**(2/59)
Simplify ((o**(-8)/o)/o)/o*o/(o*o**0)*o**(-7)/(o**(-8)*o) assuming o is positive.
o**(-11)
Simplify r**(-6)*r**(-4/17) assuming r is positive.
r**(-106/17)
Simplify ((t*t**(-2/3))/((t/(t/((t**(1/2)/t)/t)*t))/t))/(t**1)**(-2/43) assuming t is positive.
t**(1001/258)
Simplify i**15*(i/(i/i**13*i))/i assuming i is positive.
i**26
Simplify q**7*q**(-7)*(((q*(q**(-2)*q*q)/q)/q)/q)/q*((q/(q**(-5)*q)*q)/q)/q assuming q is positive.
q
Simplify y*y**(6/13)*y*y**(-8/5) assuming y is positive.
y**(56/65)
Simplify ((w**1*w)/w)/(w/(w*(w/((w/w**5)/w))/w)*w) assuming w is positive.
w**5
Simplify (((y*y*y*y**(2/7))/y)/(y**(-5)*y))/((y/y**(4/9)) | {
"pile_set_name": "DM Mathematics"
} |
cking 1 s and 2 j when three letters picked without replacement from {j: 3, i: 3, m: 7, s: 1}.
3/364
What is prob of picking 1 c and 1 l when two letters picked without replacement from {c: 1, g: 4, l: 5, n: 2, b: 4}?
1/24
Two letters picked without replacement from {t: 1, w: 3, r: 1, c: 2}. Give prob of picking 2 c.
1/21
What is prob of picking 2 d and 2 z when four letters picked without replacement from nnnnzdddndnz?
2/165
Two letters picked without replacement from vfcfofvffffffff. What is prob of picking 2 v?
1/105
Three letters picked without replacement from {j: 1, v: 4, c: 3, x: 1, l: 2}. Give prob of picking 2 l and 1 j.
1/165
Two letters picked without replacement from yycccyyycybyyyccyy. Give prob of picking 1 c and 1 b.
2/51
Calculate prob of picking 1 k and 1 p when two letters picked without replacement from {a: 1, p: 1, o: 1, s: 1, z: 2, k: 1}.
1/21
What is prob of picking 2 y and 1 x when three letters picked without replacement from uxxuaxxxynyxyagyyguy?
3/38
Four letters picked without replacement from eetxxppcxotxxxxox. What is prob of picking 2 e, 1 c, and 1 t?
1/1190
What is prob of picking 1 k and 2 o when three letters picked without replacement from {k: 1, o: 2, z: 4}?
1/35
Calculate prob of picking 1 b and 1 o when two letters picked without replacement from doccoccoocbsdoodq.
3/68
Calculate prob of picking 1 o, 1 a, and 2 u when four letters picked without replacement from {h: 1, o: 4, m: 6, a: 2, u: 7}.
56/1615
What is prob of picking 4 m when four letters picked without replacement from {m: 8, k: 5, i: 3}?
1/26
Two letters picked without replacement from {m: 8, e: 7, y: 5}. What is prob of picking 2 m?
14/95
Four letters picked without replacement from pbpppbmbbpppmmbbpmmb. Give prob of picking 1 p and 3 m.
16/969
Two letters picked without replacement from {o: 1, v: 1, m: 2, u: 2, y: 1}. What is prob of picking 2 m?
1/21
Four letters picked without replacement from jjjjjjjjjjjjjjp. Give prob of picking 4 j.
11/15
What is prob of picking 2 a when two letters picked without replacement from xrara?
1/10
Two letters picked without replacement from yme. What is prob of picking 1 e and 1 m?
1/3
Three letters picked without replacement from jjappjjajjjjqjljjj. Give prob of picking 1 j and 2 a.
1/68
Four letters picked without replacement from bhvbvbhhhhhbvv. Give prob of picking 1 h and 3 v.
24/1001
Two letters picked without replacement from {g: 2, i: 6}. Give prob of picking 2 g.
1/28
Calculate prob of picking 1 o and 2 c when three letters picked without replacement from {o: 2, c: 6}.
15/28
Calculate prob of picking 2 z and 1 j when three letters picked without replacement from {b: 1, t: 1, z: 2, p: 1, j: 1, h: 1}.
1/35
Three letters picked without replacement from {p: 4, e: 6}. Give prob of picking 3 p.
1/30
What is prob of picking 4 w when four letters picked without replacement from {x: 2, w: 18}?
12/19
Two letters picked without replacement from {m: 1, g: 3, o: 2, w: 1}. Give prob of picking 1 o and 1 m.
2/21
Two letters picked without replacement from mpmtmtmwvv. What is prob of picking 1 m and 1 w?
4/45
Calculate prob of picking 1 b, 1 r, and 2 m when four letters picked without replacement from daabaaabaabraambbadm.
1/969
Three letters picked without replacement from {j: 1, x: 1, k: 1, f: 1, v: 1}. What is prob of picking 1 j, 1 x, and 1 f?
1/10
Calculate prob of picking 1 s, 1 y, and 1 u when three letters picked without replacement from ssytysyyyytyuysnyyy.
44/969
What is prob of picking 1 m and 1 n when two letters picked without replacement from {g: 2, l: 3, b: 1, n: 4, m: 6}?
1/5
Four letters picked without replacement from {j: 7}. Give prob of picking 4 j.
1
Four letters picked without replacement from kkdkiikdidki. Give prob of picking 2 k and 2 d.
2/33
Calculate prob of picking 1 n, 1 z, and 2 v when four letters picked without replacement from yyyzzyyzyvzyyzyvyynm.
1/969
Three letters picked without replacement from {r: 1, a: 2, p: 7}. What is prob of picking 1 p, 1 a, and 1 r?
7/60
Three letters picked without replacement from {j: 9, c: 11}. What is prob of picking 1 j and 2 c?
33/76
Calculate prob of picking 1 f and 1 r when two letters picked without replacement from frqjrrrrrqrfrr.
18/91
What is prob of picking 3 y when three letters picked without replacement from ytjyjjjjyzjzzty?
4/455
What is prob of picking 1 f and 1 d when two letters picked without replacement from {z: 2, d: 1, s: 2, i: 1, e: 1, f: 2}?
1/18
Two letters picked without replacement from {c: 2, r: 2, m: 1}. What is prob of picking 1 m and 1 r?
1/5
Three letters picked without replacement from eehhjjejlleee. Give prob of picking 1 l and 2 h.
1/143
What is prob of picking 2 l when two letters picked without replacement from deddddddclldd?
1/78
Calculate prob of picking 1 n and 1 q when two letters picked without replacement from {f: 5, q: 3, n: 4, r: 1}.
2/13
Calculate prob of picking 2 y and 1 r when three letters picked without replacement from {y: 5, t: 4, r: 3}.
3/22
Three letters picked without replacement from tsddcbe. Give prob of picking 1 s, 1 b, and 1 e.
1/35
What is prob of picking 1 n and 3 i when four letters picked without replacement from qiqiiqiqnqni?
4/99
Two letters picked without replacement from {o: 5, y: 2}. What is prob of picking 2 o?
10/21
Four letters picked without replacement from vvlvtvvtkvvbilb. Give prob of picking 1 v, 1 k, 1 b, and 1 t.
4/195
What is prob of picking 1 m and 2 t when three letters picked without replacement from {x: 1, j: 1, m: 2, t: 2, w: 2}?
1/28
Calculate prob of picking 2 j and 1 f when three letters picked without replacement from fifffjjj.
3/14
Three letters picked without replacement from judfdyo. Give prob of picking 1 u, 1 o, and 1 y.
1/35
Three letters picked without replacement from {v: 11, a: 1, p: 1}. Give prob of picking 3 v.
15/26
Three letters picked without replacement from qqhohlhoqhehql. What is prob of picking 1 o and 2 l?
1/182
Two letters picked without replacement from ijiqcqqnsnjc. What is prob of picking 1 i and 1 j?
2/33
Three letters picked without replacement from {y: 3, z: 2}. Give prob of picking 3 y.
1/10
Three letters picked without replacement from {p: 2, d: 4, g: 1, n: 1, k: 7}. What is prob of picking 1 k, 1 d, and 1 p?
8/65
Three letters picked without replacement from {f: 4, a: 2}. What is prob of picking 3 f?
1/5
Three letters picked without replacement from bhrhbf. Give prob of picking 1 r and 2 b.
1/20
What is prob of picking 2 l when two letters picked without replacement from lllgglllllgllggglgl?
22/57
Two letters picked without replacement from sfwqsovvq. Give prob of picking 1 f and 1 v.
1/18
What is prob of picking 1 c and 2 y when three letters picked without replacement from {d: 9, y: 6, c: 2, f: 2}?
10/323
Calculate prob of picking 2 s, 1 q, and 1 p when four letters picked without replacement from dqhdshhosqhphhhdqdoh.
1/1615
Four letters picked without replacement from yyyyyyyyyyyyyzy. What is prob of picking 1 z and 3 y?
4/15
What is prob of picking 1 v and 3 l when four letters picked without replacement from lvlllllllllllllllvl?
20/57
What is prob of picking 2 a when two letters picked without replacement from aayyyyya?
3/28
Three letters picked without replacement from ppuuuupd. Give prob of picking 1 d and 2 p.
3/56
What is prob of picking 1 p and 1 o when two letters picked without replacement from {i: 5, b: 1, o: 5, p: 6}?
15/68
Three letters picked without replacement from {v: 1, b: 3, u: 1, l: 2, c: 1, m: 3}. What is prob of picking 1 b and 2 l?
1/55
What is prob of picking 1 p and 1 j when two letters picked without replacement from rslrapjl?
1/28
What is prob of picking 1 l and 1 r when two letters picked without replacement from pllprprl?
3/14
Two letters picked without replacement from wwgcrffcu. What is prob of picking 1 w and 1 u?
1/18
Three letters picked without replacement from pdddddpdpdpddp. Give prob of picking 3 d.
3/13
What is prob of picking 1 l and 1 o when two letters picked without replacement from odvyltv?
1/21
Two letters picked without replacement from {i: 6, j: 2, a: 10}. Give prob of picking 2 j.
1/153
Calculate prob of picking 1 l and 1 f when two letters picked without replacement from lgnfndqgnggq | {
"pile_set_name": "DM Mathematics"
} |
. What is the biggest value in a, 2/3, c?
2/3
Let u = -5 + 3. Let i = 3.7 - -0.3. What is the second biggest value in -2/19, i, u?
-2/19
Let q(x) = -x - 3. Let d be -2 + (12 - (-6)/(-3)). Let s be d/20 + 54/(-10). Let u be q(s). Which is the second biggest value? (a) -0.1 (b) -2 (c) u
a
Let w be ((-5)/15)/((-4)/(-3)). Let c = -23/10 + 9/5. What is the smallest value in c, w, 0.5?
c
Let r = 1.3 - 1.1. What is the smallest value in r, 2/17, 2/5?
2/17
Let v = 58 + -63. What is the third biggest value in 1/7, -3, -0.4, v?
-3
Let x be ((-52)/(-91))/(18/4718). Let d = -150 + x. What is the second smallest value in -2/15, 5, d?
-2/15
Let s(i) = i**2 - 2. Let x be s(0). Let h = 35 + -16. Let v = h - 22. What is the third smallest value in v, x, -0.1?
-0.1
Let c = 3 + -2.9. Let s = 3.9 + c. Let l = s + -3.5. What is the third biggest value in -2/9, l, 0?
-2/9
Let g = 5.1 - 1.1. Let q = -2.4 - -2.3. What is the biggest value in q, g, 2/5?
g
Let f be 276/21 + 1/1. Let i = 474/35 - f. What is the biggest value in i, -0.4, 4?
4
Suppose 5*k + f = k + 9, -4 = -k - 2*f. Which is the third smallest value? (a) k (b) -1 (c) 30
c
Suppose 0 = a - 1 - 4. Suppose -4*f + 36 = a*h, -7*f + 16 = -3*f. Let c = -96 + 96.1. What is the second smallest value in c, -2/3, h?
c
Let h be 6/18*1/3. Which is the second smallest value? (a) 1 (b) h (c) -2
b
Let x = 0.58 - 14.58. Which is the smallest value? (a) 0.2 (b) 0.5 (c) x
c
Let k(t) = -16*t**3 + t**2 + t - 2. Let r be k(-2). Let v = r - 900/7. Which is the biggest value? (a) -0.3 (b) -5 (c) v
a
Let n = -0.11 - 0.09. What is the second smallest value in -1, 0, n?
n
Let p = -0.66 + 0.06. Let l be (5 + -4)/(3/(-654)). Let h = -1960/9 - l. What is the second smallest value in h, 2, p?
h
Let y = 20 + -19.87. Let f = -5.13 + y. Let z = 4.8 + f. What is the second biggest value in 2, 3, z?
2
Let l = 1.7 - 1.8. What is the third biggest value in 2/13, l, -4?
-4
Let y be (-5)/3*(-712)/700. Let t = -1/35 + y. Which is the third smallest value? (a) t (b) 2/19 (c) -2
a
Let d = 8 + -5. Let c = -24.02 - -24.1. What is the smallest value in d, c, -1/3?
-1/3
Let o = -226 - -2936/13. Let g = -53.6 + 54. Which is the third biggest value? (a) o (b) -1/3 (c) g
b
Let q = 16 + -19. Let f = -1.9 - -2. Let o = 0 - f. Which is the second biggest value? (a) o (b) q (c) -2/7
c
Let z = -2.7 - 32.3. Let u = 34.81 + z. Let m = -0.01 + u. What is the biggest value in -3, -0.5, m?
m
Let j = -0.7 + 0.6. What is the second smallest value in -0.3, -5, j?
-0.3
Let q = -166 + 166.5. What is the smallest value in -0.5, 0.21, q?
-0.5
Suppose -6*w = -w + 20. Which is the third biggest value? (a) -25 (b) w (c) 0
a
Let f = -4 + 1. Let v = -0.5 - -0.5. Let i = v - 0.2. What is the smallest value in f, -4/5, i?
f
Let o be 3/9 + -1 - -1. Let l be 4/(-14) - (-160)/1050. Which is the biggest value? (a) l (b) o (c) 5
c
Let b = 1.8 + -1.6. What is the third biggest value in -3/5, -3, b?
-3
Let c be (-4)/18 - (-47)/9. Let p = 9 - 6. Let l = c - p. What is the smallest value in -4/3, 0.1, l?
-4/3
Let g = -11 - -11. Let w = 2.2 + -2. Which is the third smallest value? (a) g (b) 2 (c) w
b
Let x = -3 + 1. Let v = -2.5 - x. Let d = 8 + -13. What is the second biggest value in d, 1/3, v?
v
Let m = -6 + 8. Let b be 20/(-8)*(-1 + 3). What is the smallest value in b, -1, m?
b
Let z = -0.13 + 1.93. Let w = -2.2 + z. Which is the third biggest value? (a) -2/3 (b) -1/2 (c) w
a
Suppose 2*w - 5*w - 9 = 0. Let z = 2 - 1. Let o be w/(-5) + z + -1. What is the third biggest value in 1, o, -2/7?
-2/7
Let u = -2 - -1. Let h = u - -1.5. What is the third smallest value in -1/4, 4/7, h?
4/7
Let c = -0.4 - 3.6. What is the third smallest value in 2/7, 4, c?
4
Let o = 15.6 + -17. Let c = -5.4 - o. What is the biggest value in -5, c, -1?
-1
Let r be (-3)/(-12)*-2 + (-9)/(-2). Which is the third biggest value? (a) -4 (b) -3 (c) -0.3 (d) r
b
Let m = 7.2 - 6.2. Which is the third smallest value? (a) m (b) 5/3 (c) 3/5 (d) -3
a
Let m = -74 + 73.9. Which is the biggest value? (a) 1.5 (b) 0.2 (c) m
a
Let k be (-18)/(-6) - 155/33. Let o = 3763/1848 + k. Let u = 5/56 + o. What is the third biggest value in u, -0.5, 2/21?
-0.5
Let x = 4.6 + -2.6. What is the third smallest value in x, 0, -2?
x
Let a = -34 - -26.2. Let d = -0.2 + a. Let y = d - -5. What is the third biggest value in -0.2, -5, y?
-5
Let z be ((-10)/4)/((-3)/(-6)). Let d = 2 - 1.8. Which is the smallest value? (a) 5 (b) d (c) z
c
Suppose -2*o - 1 = -o. Let t be o + (364/(-60))/(-7). Let l = -0.1 + 5.1. Which is the smallest value? (a) l (b) -1/4 (c) t
b
Let u = 0.64 - 0.44. Which is the fourth smallest value? (a) 1/4 (b) u (c) 3/7 (d) -0.2
c
Let r = 0.7 + -1. Let z = -0.26 + 0.66. What is the biggest value in 1/2, z, r?
1/2
Let d = -0.61 + 0.6. Let i = -0.49 + d. Which is the biggest value? (a) 4/5 (b) i (c) 5
c
Let l = 5 - -1. Let t = l + -1. Which is the smallest value? (a) t (b) 3 (c) -4
c
Let p = -7.2 + -0.8. Let n = -7 - p. Let x = 5 - n. What is the third biggest value in 0.3, x, 1/3?
0.3
Let n = 11 - 11.5. Let i = n - -0.1. What is the third smallest value in 2, i, 5?
5
Let m = 75 - 30. Which is the third biggest value? (a) 2 (b) 4 (c) m
a
Let x = -217 + 1089/5. Which is the third biggest value? (a) 1 (b) -3/4 (c) x
b
Let j = 2.5 + -3. Which is the second biggest value? (a) j (b) -3/5 (c) -0.3
a
Let r = 0.042 - 0.142. What is the second biggest value in r, 0.1, -2, 1/4?
0.1
Suppose -24 = -5*u + l, 0 = -4*u - l + 7 + 5. Let n = 4 - 1. Suppose n*i = -2*i - 5. Which is the biggest value? (a) -3 (b) u (c) i
b
Let f = -9 + 17. Let u = -8.1 + f. What is the third smallest value in -0.2, u, 1/2?
1/2
Suppose 5*v - 3 + 18 = 5*u, -u = 3*v + 17. Which is the biggest value? (a) v (b) -3 (c) 3
c
Let x = -10 + 6. Let a = x + 5. Suppose m = r - 7, 3*m - 5*r + 20 + 11 = 0. What is the third biggest value in m, a, 6/7?
m
Let x = -222 - -217. Let h be 5/3 - -1 - 2. Let q be (-4)/(-14) - 9/56. Which is the third smallest value? (a) q (b) x (c) h
c
Let n be (1/(-30))/((-14)/(-42)). Which is the biggest value? (a) -1/6 (b) 2 (c) n
b
Let i be 12/5*4/40. Let z = -26/25 + i. Let r = 2.9 - 3. Which is the second biggest value? (a) r (b) -0.5 (c) z
b
Let i be 0/(-3) - 2/4. What is the second smallest value in -1/6, -8, i?
i
Suppose -2*n - 2*i = 3*n - 9865, -3*n + 5*i = -5950. Let m = n - 5720/3. Let z = 69 - m. Which is the third smallest value? (a) z (b) -5 (c) 2/17
a
Let k = 163 - 160.08. Let a = k - -0.08. Let t = a + 0. What is the second biggest value in 1/4, t, -4?
1/4
Let w = 0.2 - -0.1. Which is the smallest value? (a) w (b) 2/5 (c) 18
a
Let k = -2.01 - -2.41. Which is the second smallest value? (a) k (b) -4 (c) 10 (d) -5
b
Let n be (-2)/(-9) + 286/9. Let r be -2*(3 + n/(-11)). Let y = 0.07 + -0.37. What is the second smallest value in r, 2/9, y?
r
Let z be 5/(-30)*-15*-4. What is the third smallest value in 4, z, -0.5?
4
Let g be 1*(0 - -1)*8/(-6). Which is the second smallest value? (a) -0.3 (b) 10 (c) 0.2 (d) g
a
Let y = 3.6 - 3.5. What is the smallest value in y, 9, 3?
y
Let l = 0.02 - 1.02. What is the second biggest value in l, -4, -6?
-4
Let x = -3 - -3.5. Suppose 2*o + y = -0*y - 9, 5*o + 2*y = -20. Which is the second smallest value? (a) -4 (b) x (c) o
c
Let j = -0.42 + -47.58. Let v = 33 + j. Which is the third smallest value? (a) 3 (b) -2/7 (c) v
a
Let w = 8329870895/1521 + -5476575. Let o = 2/169 + w. What is the second smallest value in 4, o, 5?
4
Let r = -9/26 + 133/234. What is the biggest value in 0.1, r, 11?
11
Let z = -13.8 + 12. Let a = -1.5 - z. What is the biggest value in 2/7, 4/5, a?
4/5
Let z = 1090/9 + -121. Which is the third biggest value? (a) 0.5 (b) z (c) -0.4
c
Let n = -1 + 3. Let g be ((-2)/(-69))/((-1)/3). Let j be ((-4)/(-15))/(1*2/6). What is the second biggest value in g, j, n?
j
Let t = -3.13 + -8.15. Let o = t + 0.28. Let q = o + 10. Which is the biggest value? (a) q (b) -2 (c) -1/4
c
Let m = -0.24 + 0.3. Let z = -0.24 - m. Let y = 49 + -49.5. What is the second biggest value in z, y, -0.2?
z
Let c = 6 - 8. Let n = -0.41 + 0.01. What is the smallest value in c, -1, n?
c
Let k = -4.7 + 5.2. Let s = 593/ | {
"pile_set_name": "DM Mathematics"
} |
*h = -5*q + 14. Let t(l) = 3*l**2 + 4*l + 3. Let z be t(-2). Suppose -z = -5*i - 17. Put q, 2, i, -3 in decreasing order.
q, 2, i, -3
Let c = 163.9 - 161.9. Put 4/7, -0.14, c, -3 in descending order.
c, 4/7, -0.14, -3
Let s be 10/120*18/12. Let r = -69 - -55. Let j = -13.7 - r. Sort s, -2/5, j, 2/9.
-2/5, s, 2/9, j
Suppose 5*o + 11*o = 17*o. Suppose -5*y + 10 + 0 = o. Sort -23, -5, y in descending order.
y, -5, -23
Let g be 1 + (-2)/(-5) + 44/(-10). Let u be 0*1/(-1 + 2). Let s = -357 + 359. Put u, g, 1, s in decreasing order.
s, 1, u, g
Let k be (-56)/252 - ((-350)/72)/5. Put 14, k, 2, -1/2 in descending order.
14, 2, k, -1/2
Let b = 7 - 6.785. Let v = 0.515 - b. Put -1/6, v, -1 in descending order.
v, -1/6, -1
Let u = -124/7 + 379/21. Sort -12, u, 64.
-12, u, 64
Suppose -76 + 309 = -124*x - 263. Sort 2, 956, 3, x, 4 in decreasing order.
956, 4, 3, 2, x
Let g = -9135.7 - -9135.3. Let t = 0.34 + 0.96. Let p = t - 0.3. Sort 0.5, -1, g, p in descending order.
p, 0.5, g, -1
Suppose 0*t + 22*t + 0*t + 330 = 0. Sort 3, -1, -4, -5, t in decreasing order.
3, -1, -4, -5, t
Suppose -5*r = 4*b - 1047 + 342, -4*b + 660 = -4*r. Suppose b*z = 172*z + 16. Put -3, z, 3, 1 in decreasing order.
3, 1, -3, z
Let d = 199.7 - 196.7. Sort -2/7, d, 3.9, -1/6.
-2/7, -1/6, d, 3.9
Let j = 2181 + -2181.05. Put -0.4, j, -47 in decreasing order.
j, -0.4, -47
Let h = -0.033 + 0.133. Let x = 1886 - 1774. Put h, 2, x in increasing order.
h, 2, x
Let z = 54 + -50. Suppose -n = -u + 2*u + 7, -2*u = -n - z. Put 2, -3, n, 0 in decreasing order.
2, 0, -3, n
Let f = -1479 + 19225/13. Let q = 1.54 + -83.54. Put q, 5, f, 1 in descending order.
5, 1, f, q
Let z = -1/38 + -73/114. Let a = 93/2 + -49. Sort a, -18, z, -0.3 in increasing order.
-18, a, z, -0.3
Suppose 0 = 38*c - 150 - 2. Suppose -2*d - 3 = 3. Sort -0.19, d, c in descending order.
c, -0.19, d
Suppose l - 3*u + 22 = 0, 12*u - 11*u - 54 = 5*l. Put 0, 5, 12, -5, l in increasing order.
l, -5, 0, 5, 12
Let s(z) = 2*z**2 - 90*z - 1260. Let j be s(-11). Sort -5, -10, j, -2 in descending order.
-2, -5, -10, j
Suppose -2*u - 57*m + 21 = -58*m, -5*m + 16 = u. Sort 5, -34, -4, u, 1 in descending order.
u, 5, 1, -4, -34
Let m be (-9)/(-6)*72/(-54) + -3. Let j be (-24)/(-20)*70/21. Suppose r = -0*r - 5*w + 17, 14 = r + 4*w. Sort m, r, j, 5 in descending order.
5, j, r, m
Suppose -110 = -2*f - 110. Let b be f/((-4)/(-22) - (-140)/77). Put 1, b, 10 in ascending order.
b, 1, 10
Suppose 0 = 4*l - 5*l + 62. Let n = l - 60. Suppose -4*w + 27 = -b, -b = -5*w - n + 34. Put 3, b, 2, -3 in decreasing order.
3, 2, -3, b
Let v(j) = -j**3 - 17*j**2 - 18*j - 632. Let b be v(-18). Let d = -17 + 22. Sort b, 3, -2, d in increasing order.
-2, 3, d, b
Let x = 180 - -55. Let c = 239 - x. Sort -3/8, 0.1, 30, c in increasing order.
-3/8, 0.1, c, 30
Let a = -0.0089 + -2.9911. Let g = -4.7 + 5. Let l = g - 4.3. Sort l, a, 1 in descending order.
1, a, l
Let q be 3 - (-26 - (7 - 12))/(-3). Put -10, q, -11 in decreasing order.
q, -10, -11
Suppose -1155 = -2*d - 5*d. Suppose -6*g + 153 - d = 0. Put g, 4, 17 in decreasing order.
17, 4, g
Let h be ((-1160)/3248)/((-1)/14). Put 6, 2, -4, h in decreasing order.
6, h, 2, -4
Let z = 39268.94 + -39269. Sort 5, 4, 0.03, z.
z, 0.03, 4, 5
Let g = -81507/4 + 20377. Put 52/3, 1/3, 9, g in increasing order.
g, 1/3, 9, 52/3
Let i(l) = -l**2 + 11. Let a be -3 + (7 - (-16)/(-4)). Let s be i(a). Let j be (-4)/(0 - 2) - 2. Put s, j, -5 in increasing order.
-5, j, s
Let l = 59 + 5. Let b = l - 65. Put b, -0.3, 1/2, -4 in descending order.
1/2, -0.3, b, -4
Let r = -4353 - -4353.4. Sort 2/127, 0.5, -0.4, r, 5 in descending order.
5, 0.5, r, 2/127, -0.4
Let z = 11587 - 11587. Put z, 45, -5, 13, 2 in ascending order.
-5, z, 2, 13, 45
Let o = 3178 + -3185. Put 0, o, 2, 3 in descending order.
3, 2, 0, o
Let r(z) = -4*z**2 + 160*z + 2762. Let c be r(-13). Let f be (-16)/(-9) - 4/(-18). Put 5, f, c in increasing order.
f, 5, c
Let k(n) = 6*n**3 + 56*n**2 + 17*n - 12. Let v be k(-9). Put -12, v, -31, 5 in descending order.
5, v, -12, -31
Let s = 2291 - 6866/3. Put -21, s, 1/3 in descending order.
s, 1/3, -21
Let s(d) = d - 2. Let p be s(-2). Let n be p/22 - (-3)/44*681. Let i = n - 46. Put -9, i, 1/3 in ascending order.
-9, i, 1/3
Let a(b) = b**2 - 620. Let k be a(25). Sort -29, 33, k in increasing order.
-29, k, 33
Let s = 2616 - 2608. Sort -1/2, -18/7, s, 4 in decreasing order.
s, 4, -1/2, -18/7
Suppose 2*v + 15 = 3*f + 58, 18 = -f - 3*v. Let g be ((-4)/f)/((-2)/(-3)). Let c = -30 + 20. Sort g, -0.5, c in increasing order.
c, -0.5, g
Let k = 79.9 + -72. Let x = 0.5 + k. Let u = -8.2 + x. Put 0.5, -1.1, u in decreasing order.
0.5, u, -1.1
Suppose -56*n = -42*n - 6538. Let g = -433 + n. Sort g, -5, -3 in decreasing order.
g, -3, -5
Let u = 5150 + -5146. Sort u, 1002, 3 in ascending order.
3, u, 1002
Let k = 4925 + -4928. Sort k, -189, -5 in descending order.
k, -5, -189
Let c(d) = 2*d + 3. Let n be c(-4). Let g(r) = r**3 - 9*r**2 + 3. Let z be g(9). Suppose z*q = -26 + 17. Sort n, q, -2.
n, q, -2
Let a = -5404 - -5405. Sort 0, a, 21, -3, 4 in decreasing order.
21, 4, a, 0, -3
Let j(q) = -42 - 3*q + 37 + 16*q + 2*q**2 + q**2. Let o be j(-5). Sort -1/6, 161, o in ascending order.
-1/6, o, 161
Let i be (60 - 4)/(3/((-6)/(-2))). Suppose 14*r + 14*r = i. Sort -5, -10, r in ascending order.
-10, -5, r
Let t(m) = m**2 + 4*m + 5. Let p be t(-5). Let b(a) = a**3 + 2*a**2 + 222*a + 880. Let w be b(-4). Let x be ((-4)/p)/((-24)/w). Sort -2, 1.9, 1, x.
-2, x, 1, 1.9
Let w = 3 - 2. Suppose -12 - 6 = -6*b. Let m be ((-96)/60)/(4/(-10)). Put m, b, w in descending order.
m, b, w
Suppose 0 = -5*c - 4*h - 1432, 1133 = -3*c - c - 5*h. Sort -5, -3, c in increasing order.
c, -5, -3
Suppose 68 = 3*l + 31*l. Suppose -h = -4*j - 30, 0 = -2*j + 4*h - 6 - l. Put j, 7, 3, 1 in decreasing order.
7, 3, 1, j
Suppose 0 = -4*d + 12, -6*j - 3*d + 17 = -2*j. Let n = 5 + -5. Let t be 4/(-6) + 16/(-12). Sort n, t, 5, j in decreasing order.
5, j, n, t
Let k = -263.3 + 14.3. Let l = 244 + k. Suppose 3*b - 5*d = 1 + 15, 10 = b - 4*d. Sort b, l, 0 in increasing order.
l, 0, b
Suppose 3*q + u = 1, -45*u + 46*u - 4 = -4*q. Sort -8, q, 0.037, -2, 4 in descending order.
4, q, 0.037, -2, -8
Let t = -429399 - -429398.9. Let w be 2/7 + 67/(-259). Sort w, -4, -1/4, t in decreasing order.
w, t, -1/4, -4
Let g be 1/(-4) + 33/36. Let z = -2 - -2.1. Let n = 2661/34 - 1339/17. Put -7, g, n, z in decreasing order.
g, z, n, -7
Suppose 3*b = -4*u - 7, 0 = -73*b + 72*b - 2*u - 7. Put 0, -4, 21, b in decreasing order.
21, b, 0, -4
Suppose -3*c - 194 + 200 = 0. Suppose 0 = f + 3, 0 = -5*g - f - 0 + c. Sort -11/3, -13, g in increasing order.
-13, -11/3, g
Let u(q) = 2*q**3 - 40*q**2 - 32*q - 217. Let x be u(21). Put 8, x, 20 in descending order.
20, 8, x
Let h = 119.6 - 119.7. Put 0.1, h, -0.108, 0 in descending order.
0.1, 0, h, -0.108
Let s = -2.5 + 2.41. Let k = 5.09 + s. Let j = -0.09 - -0.09. Put j, k, 1/6 in decreasing order.
k, 1/6, j
Let s = 361 - 366. Sort s, -8, 6 in descending order.
6, s, -8
Let t = -6.54 + 5.746. Let u = -3.794 - t. Put 18, u, -2/13 in descending order.
18, -2/13, u
Let w be ((-125)/250 + 1/(-4))/3. Sort 0.4, w, 78/11, -9 in ascending order.
-9, w, 0.4, 78/11
Let k(g) = g**3 + g**2 - 7*g + 3. Let l be k(2). Let f be l - -3 - (10 + (2 - 5)). Let z = -20 + 13. Put -4, -1, z, f in descending order.
-1, f, -4, z
Let u = -24 - -29. Let d = -0.392 - -0.322. Sort -1, u, d, -2/15.
-1, -2/15, d, u
Suppose 0 = 3*n + 27 + 30. Suppose 169*t = 21*t - 95 - 201. Sort -4, -5, t, n in increasing order.
n, -5, -4, t
Let p be 27/18 + ((-2)/4)/(-1). Suppose -29 = -j - p*n + 5*n, 48 = 4*j + 5*n. Let s = 19 - j. Sort -5, 0.2, -4, s in decreasing order.
s, 0.2, -4, -5
Let k = 0.67 - 1.76. Let n = k + 6.09. Put -2/11, -0.3, n in ascending order.
-0.3, -2/11, n
Let k(m) = m**2 - 5*m - 21. Let j be k(8). Suppose 0 = 2*h - 0 + 6, 6 = j*w + 2*h. Let q(g) = g - 8. Let c be q(4). Put 2, c, -3, w in decreasing order.
w, 2, -3, c
Suppose 166 - 736 = 70*q - 10. Put q, -6, -3, -4, 3 in descending order.
3, -3, -4, -6, q
Let y be (134/134)/((-1)/5). Let m be (-8)/12 - (-26)/3. Sort y, -1, 3, m.
y, -1, 3, m
Let u = -1/109411 + -437637/765877. Let g = -12 + 35/3. Sort -2, g, u in descending order.
g, | {
"pile_set_name": "DM Mathematics"
} |
4, 3912763718, 3912763710, 3912763700, 3912763688?
3912763674
What is the next term in 94827803, 189655605, 284483407, 379311209, 474139011?
568966813
What comes next: -5117, -8102, -11087, -14072, -17057, -20042?
-23027
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-208135
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18746384
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-53406856
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-387217
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27746180
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31008878
What comes next: -28141, -28154, -28181, -28228, -28301, -28406, -28549, -28736?
-28973
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391257389
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-126167
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-24238257
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-1476
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-122129038
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-532547
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-44268
What is next in 792, 1391, 2708, 5103, 8936, 14567, 22356?
32663
What is next in -56887, -101052, -145217?
-189382
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2414393
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58296
What is the next term in 4292374, 8584751, 12877128?
17169505
What is next in 9083, 12212, 15341, 18470, 21599, 24728?
27857
What is next in -8209164, -8209165, -8209166, -8209167, -8209168, -8209169?
-8209170
What is the next term in -24407, -49316, -74255, -99236, -124271, -149372?
-174551
What is the next term in -191418, -191409, -191396, -191379, -191358, -191333?
-191304
What is the next term in 229987, 229717, 229447?
229177
What is next in 16, -378, -1682, -4406, -9060, -16154?
-26198
What comes next: -4968, -19842, -44608, -79272, -123840, -178318?
-242712
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-3301938
What is next in 79462827, 79462828, 79462829, 79462830?
79462831
What is the next term in -6170235, -6170234, -6170233?
-6170232
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925919
What comes next: 132, 181, 254, 339, 424, 497?
546
What is next in -307389, -615104, -922819, -1230534, -1538249, -1845964?
-2153679
What is next in -11584, -11647, -11744, -11875, -12040, -12239?
-12472
What is next in 8660, 17849, 27056, 36281?
45524
What is the next term in 143776, 287575, 431384, 575197, 719008, 862811, 1006600?
1150369
What is the next term in 92, 96, -134, -730, -1824, -3548, -6034, -9414?
-13820
What comes next: 25938, 26001, 26098, 26229, 26394?
26593
What comes next: -762977, -762975, -762973, -762971?
-762969
What comes next: -6618029, -13235986, -19853943?
-26471900
What is next in -13017, -35633, -73327, -126099, -193949, -276877?
-374883
What comes next: 3535000, 7070005, 10605010, 14140015, 17675020?
21210025
What is the next term in -10936, -18710, -26482, -34252, -42020, -49786?
-57550
What comes next: -16044, -17798, -19552?
-21306
What is next in 139, 489, 1491, 3469, 6747, 11649, 18499?
27621
What comes next: 961953, 961970, 961987, 962004, 962021, 962038?
962055
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3131123035
What is next in 378478, 757158, 1135838, 1514518, 1893198, 2271878?
2650558
What is the next term in 11914, 24067, 36222, 48379?
60538
What is the next term in 2371221, 2371246, 2371271?
2371296
What is next in -421, -1103, -2505, -4837, -8309, -13131?
-19513
What is next in -26488, -53103, -79848, -106723, -133728?
-160863
What is next in 446821, 448816, 450811, 452806, 454801, 456796?
458791
What comes next: 94359, 93850, 93325, 92778, 92203, 91594, 90945?
90250
What comes next: -16738, -16294, -15552, -14512?
-13174
What is next in -538, -2401, -5542, -9961, -15658?
-22633
What is the next term in 2615299, 5230709, 7846131, 10461571, 13077035?
15692529
What comes next: 8524, 33447, 74996, 133171?
207972
What is the next term in 2773574, 2773573, 2773572?
2773571
What is next in 519, 1568, 2995, 4800, 6983, 9544?
12483
What is next in -75940, -153799, -231658, -309517, -387376, -465235?
-543094
What comes next: -9663978, -19327958, -28991946, -38655948, -48319970?
-57984018
What is the next term in -69243, -138267, -207289, -276309, -345327, -414343, -483357?
-552369
What comes next: -87532, -350010, -787418, -1399756, -2187024, -3149222, -4286350?
-5598408
What is the next term in 14838, 58542, 131382, 233358, 364470, 524718?
714102
What is next in 61461, 66277, 71093, 75909?
80725
What comes next: -109741, -109588, -109431, -109270?
-109105
What comes next: 44939, 43807, 41917, 39269, 35863, 31699, 26777?
21097
What comes next: -464012, -928638, -1393882, -1859744?
-2326224
What is the next term in 7649, 7175, 6385, 5279, 3857?
2119
What comes next: -85931, -166683, -247437, -328193?
-408951
What is the next term in -1046, -1237, -1586, -2171, -3070?
-4361
What is the next term in 498610, 498767, 499174, 499951, 501218, 503095?
505702
What is the next term in -380288, -759204, -1138120?
-1517036
What is the next term in 5643003, 11286008, 16929013, 22572018, 28215023, 33858028?
39501033
What comes next: -11193, -44278, -99383, -176472, -275509, -396458?
-539283
What is next in -435097, -1740399, -3915919, -6961663, -10877637, -15663847?
-21320299
What is the next term in -455, -1780, -3857, -6578, -9835?
-13520
What comes next: 245, 6786, 24537, 59102, 116085, 201090, 319721?
477582
What is next in -2182, -7875, -17204, -30169, -46770?
-67007
What comes next: -823, -2190, -4091, -6526, -9495, -12998?
-17035
What is next in -175890519, -175890520, -175890521?
-175890522
What comes next: 108082, 108083, 108084, 108085?
108086
What comes next: 229948, 230059, 230188, 230335?
230500
What is the next term in 1363, 5540, 12551, 22390, 35051?
50528
What is the next term in 12354, 49949, 112622, 200385, 313250?
451229
What is next in -13195, -105517, -356135, -844201, -1648867?
-2849285
What comes next: 125449, 135695, 145929, 156145, 166337?
176499
What is next in 28420, 57104, 85788?
114472
What is next in -1137308, -1137293, -1137278, -1137263, -1137248?
-1137233
What is the next term in 951842, 952014, 952300, 952700?
953214
What is next in -1521, -2892, -4307, -5760, -7245, -8756?
-10287
What comes next: -1273, -2623, -3923, -5161, -6325, -7403, -8383, -9253?
-10001
What is the next term in -54175, -53391, -52593, -51775, -50931, -50055?
-49141
What comes next: -12523, -25118, -37811, -50650, -63683, -76958, -90523?
-104426
What is next in -709666, -709666, -709662, -709654, -709642, -709626?
-709606
What is the next term in 16842220, 16842221, 16842222, 16842223, 16842224?
16842225
What comes next: -666922, -2667708, -6002352, -10670854?
-16673214
What comes next: 7183, 14109, 20999, 27835, 34599, 41273?
47839
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-721874
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-3410
What is next in 30098, 59872, 89000, 117158, 144022, 169268, 192572, 213610?
232058
What is the next term in 4735510, 9471018, 14206524, 18942028, 23677530?
28413030
What comes next: -14819, -14823, -14831, -14843, -14859?
-14879
What is next in -77400, -171778, -266156?
-360534
What is next in 582861, 582731, 582601?
582471
What is the next term in 2035611, 4071248, 6106885?
8142522
What is the next term in -340885, -681777, -1022669, -1363561?
-1704453
What comes next: 12749, 12726, 12691, 12638, 12561, 12454?
12311
What is the next term in -5061, -19954, -44681, -79242, -123637?
-177866
What is next in -928, -3805, -8608, -15343, -24016, -34633, -47200, -61723?
-78208
What comes next: -699582, -2798390, -6296400, -11193606, -17490002, -25185582, -34280340?
-44774270
What comes next: 560, 702, 880, 1094?
1344
What is the next term in 3, -718, -1949, -3714, -6037?
-8942
What is the next term in 578, -94, -1264, -2920, -5050?
-7642
What is the next term in 11084, 88428, 298360, 707174, 1381164?
2386624
What is the next | {
"pile_set_name": "DM Mathematics"
} |
0, 0 = -f + 5*v - 9. Let r(w) = -w**3 + 3*w**2 + 2. Let l be r(3). Let u(j) = -3*j**l - 3*j + j + j. What is u(f)?
-4
Let t(d) be the third derivative of d**8/6720 + d**7/630 - d**6/360 - d**5/30 + 7*d**4/24 - 5*d**2. Let p(m) be the second derivative of t(m). Give p(-4).
4
Let p(o) = -2*o + 9. Let u(n) = -2*n + 8. Let v(t) = -5*p(t) + 6*u(t). Give v(7).
-11
Let w(a) = -3*a**3 - 5*a**2 + a + 4. Let g(d) = 7*d**3 + 11*d**2 - 2*d - 8. Let t = -13 - -18. Let i = t + -3. Let f(c) = i*g(c) + 5*w(c). Calculate f(-3).
1
Let i(c) = -4*c**2 - 2*c - 1. Let b be ((-1)/(-3))/(3/(-18)). What is i(b)?
-13
Let i(c) = -c**3 + 2*c**2 - 2*c - 1. Let d be i(2). Let h = 0 - d. Let a(p) = 0 - 2 + 8 - 4*p**3 - p + h*p**2 + 3*p**3. What is a(5)?
1
Let s = 64 - 36. Suppose 2 + s = 5*i. Let c(k) = -2*k + 5. Calculate c(i).
-7
Let z(l) = -l**2 - 9*l - 5. Let m(u) = u**2 + 5*u - 14. Let t be m(-7). Suppose t = -2*n - 2 - 12. Calculate z(n).
9
Let w(i) be the first derivative of -i**3/3 - 3*i**2/2 + i - 9. Calculate w(-3).
1
Let m(l) = -l + 7. Suppose 4*q = 4*j - 4 - 28, 0 = 3*q + 15. Suppose -j*f = 13 - 4. Let a = 3 + f. What is m(a)?
7
Let h(u) = 2*u**3 + 2*u**2 - u. Let r = -10 - -6. Let b be r/6 + (-4)/3. Calculate h(b).
-6
Suppose -2*r - 3*r - 20 = 0. Let z(n) = n - 15 + n**2 + 4*n + 10. Give z(r).
-9
Let x = -1 + 2. Let s(y) = 2*y**2 + 4*y + 7. Let b(u) = -4*u**2 - 7*u - 13. Let r(m) = m**2 - 8*m + 6. Let o be r(6). Let i(j) = o*b(j) - 11*s(j). Give i(x).
1
Let o(p) = -p**2 + 3*p - 1. Let g be -3 + 3 - (1 + -4). Determine o(g).
-1
Let y(h) = h**2 + h. Let k be y(-2). Let v(g) = -g**3 + 3*g**2 - 3*g + 2. Determine v(k).
0
Let j(q) = 2*q**2 - 3*q. Let n be 0*2/(8/2). Suppose a - 3 + 1 = n. Give j(a).
2
Let y(d) = d**3 - 11*d**2 + 2. Let q be -11*(2 - 3)*1. Let g be y(q). Let c(n) = -3*n**2 + 2*n - 1. Give c(g).
-9
Let a(q) = q - 2. Suppose w + 8 = -3*n, -3*n + 27 = w - 7*n. Give a(w).
5
Let v(c) = -16*c - 1. Let i(s) = -31*s - 2. Let z(f) = -3*i(f) + 5*v(f). What is z(-1)?
-12
Let t(b) be the first derivative of b**2 - b - 2. Suppose j + 5*c = 2, j - 2 = -3*c - 0. Determine t(j).
3
Let q(y) = -y + 2. Suppose 22 = 3*a - a. Suppose -2*z + 2*f + 3 = -a, -4*f + 26 = 2*z. Let b(j) = j**2 - 8*j - 6. Let o be b(z). Determine q(o).
-1
Let s be (-10)/(-4)*(-8)/(-10). Suppose -3*l = 4*o + 4, 5*o - 2*l - 19 = -1. Let q(x) = -4 + 0*x - s*x - x**o - 2*x. Determine q(-4).
-4
Let y(v) = 0 - 2*v - 2 + 0*v. Suppose -9*r + 5*r = -8. Let f(a) = 2*a - 1. Let n be f(r). Calculate y(n).
-8
Let s be 2/(-5) + 60/25. Suppose 10 = 4*a - s. Let y(o) = -2*o**2 + 4*o. Determine y(a).
-6
Let k be -1*(-3 + (4 - 1))/(-3). Let l(b) = b + 0*b + 13 - 4. Calculate l(k).
9
Let z(x) = -x**2 - 8*x - 8. Suppose -t - 2 = v - 0*t, 50 = -5*v + 5*t. Calculate z(v).
4
Let q(u) = u**3 - 5*u**2 - 8*u + 9. Let p = 24 + -25. Let l = p - -7. What is q(l)?
-3
Let x(a) be the third derivative of -a**4/24 - a**3/2 + 26*a**2. Calculate x(-5).
2
Let z be 0/(-2 + (2 - 1)). Let j(i) = -4*i**2 + 3 - 3*i + 3*i**2 + z*i. Let c be (-8)/(-12)*(-1 + -5). Determine j(c).
-1
Let o(t) = 6*t - 27. Let u be o(5). Let b(m) = m**2 - m. What is b(u)?
6
Let p be 3*1 + 0 + -1. Let w be (-6 + 3/(-3))*-1. Let h(c) = -5*c - c**p + 6*c**3 + 2 + 5*c**2 - w*c**3. What is h(3)?
-4
Let n(z) = 2*z + 1. Suppose 0 = -m - m - 8. Calculate n(m).
-7
Let b be 38/8 - (-1)/4. Suppose 10 + 2 = -3*q, 10 = b*i + 5*q. Let w(c) = 10*c - 57. Let x(s) = 3*s - 18. Let g(n) = 2*w(n) - 7*x(n). Calculate g(i).
6
Let r(n) be the first derivative of -n**2/2 - 5*n + 53. Let i(x) = x - 3. Let m be i(-3). Give r(m).
1
Let v(q) be the first derivative of q**4/4 - 5*q**3/3 - q**2/2 + 3*q + 20. Calculate v(5).
-2
Let z(i) = -i - 1. Suppose 0 = 3*m - 3 + 6. Let t be 3 + (m - (1 + 0)). Determine z(t).
-2
Suppose 2*n - 4 = 3*n. Let t be n/12*9*-1. Let j(g) = -g**3 + 4*g**2 - 3*g - 1. Determine j(t).
-1
Let a(l) = -l**3 + 6*l**2 + 2. Let t = 12 + -6. Let r be a(t). Let o(z) = z**2 + z + 2. What is o(r)?
8
Let k(d) = 4*d - 2*d - 2*d - d + 2. Let t be k(-2). Suppose -5*x - 5*b - 28 + 3 = 0, t*x + 18 = -3*b. Let y(n) = n + 5. Calculate y(x).
2
Suppose 0 = 4*j + j - 80. Suppose -4*c - j + 0 = 0. Let u(i) = -i**2 - 3*i + 5. Calculate u(c).
1
Let u(g) be the third derivative of g**8/20160 - g**7/840 + g**6/144 - g**5/10 - g**2. Let k(i) be the third derivative of u(i). Calculate k(5).
0
Let n be (5 - 18/4)/(3/24). Let q(g) = 2*g**2 - 5*g. What is q(n)?
12
Let p(q) = 1602*q - 2 - 1602*q - 6*q**2. What is p(-2)?
-26
Suppose 9 = 4*y - m, y - 5*m + 3*m = 4. Let h(l) = 2*l - 9. Let w(p) = p - 2. Let o(n) = -h(n) + 5*w(n). What is o(y)?
5
Let a(s) = -4*s - 4. Suppose -8*g = l - 7*g + 3, -4*g - 7 = 3*l. What is a(l)?
16
Let d be ((-2)/6)/(1/3). Let m(s) = -2*s**3 - s**2. Calculate m(d).
1
Let k(b) = b**2 + b - 7. Suppose 0 = 2*s - 4*s + 22. Let l = s + -11. Determine k(l).
-7
Let k(q) = q**2 + 13. Let g = 35 - 35. Determine k(g).
13
Let h(v) be the first derivative of v**2/2 - 4*v - 3. Let i(b) = -1. Let g be 6/2*4/(-6). Let u(l) = g*i(l) + h(l). Determine u(0).
-2
Let r(j) = -j**3 + 10*j - 5. Let q(m) = 5 + m**3 + m - 10*m - 1 - m**2. Let b(c) = -5*q(c) - 4*r(c). What is b(6)?
-6
Let k(j) = -j**3 - 6*j**2 - 4*j + 3. Suppose -6 = -5*o - 2*m, -2*o = -5*m + 3 + 12. Suppose -2*a + o*a = 6, -a + 25 = 2*f. Let z = 9 - f. Give k(z).
-2
Let i(l) = -1 + 8 - 3 + 5*l - l**2 + 0*l. Let v be 3 - (-1 + 0 + -2). Determine i(v).
-2
Let q(i) = i**2 - 9*i + 10. Let x be q(8). Let d(v) be the second derivative of 0 + x*v + 1/2*v**2 - 1/2*v**3. Give d(-1).
4
Let b(d) = d + 5. Let g be b(0). Let q be (-4)/g*(-5)/(-1). Let f(s) = -s**3 - 4*s**2 - 2*s - 6. Determine f(q).
2
Suppose -6*l = -2*l - 12. Let o(i) = -i + 2. Let t(r) = 1. Let s = 9 + -15. Let z(y) = s*t(y) + 5*o(y). Calculate z(l).
-11
Let r(v) = -3*v**2 + 22*v - 16. Let z(k) = 2*k**2 - 15*k + 11. Let n(a) = 5*r(a) + 7*z(a). Let d(q) = -q + 6. Let u be d(0). Determine n(u).
-9
Let y(c) be the first derivative of 4*c**3/3 + c**2/2 + c + 2. Let t be y(-1). Let w(b) = -b**3 + 0 + 2 + 2 - 3*b + 4*b**2. Determine w(t).
-8
Let i be ((-3)/6)/((-2)/(-8)). Let l(k) = -20*k. Let g(p) = 3*p. Let z(t) = -15*g(t) - 2*l(t). Give z(i).
10
Let y(p) = -6*p - 7. Let d be y(-2). Let l(g) be the third derivative of 0*g - g**2 + 1/3*g**4 - 3/2*g**3 + 1/12*g**d + 0 - 1/120*g**6. Calculate l(6).
3
Suppose -11 = -n - 3*z, -2*n + 0*z - 2*z + 14 = 0. Suppose 3*w - 41 + 18 = n*q, -5*q = 5. Let h(d) = d**3 - 6*d**2 + d. Determine h(w).
6
Let m(y) = -y**2 + 4. Suppose -4*s + 6 = 42. Let u = s - -12. Give m(u).
-5
Let a(n) be the third derivative of -n**5/120 + n**4/12 + n**3/6 + 3*n**2. Let g(l) be the first derivative of a(l). Calculate g(-6).
8
Let k(o) = -3*o**3 + 2*o**2 - 1. Suppose 0 = 2*y + 6 + 4. Let x(u) = u**2 + 4*u - 6. Let w be x(y). Determine k(w).
4
Let m(b) = 2 - 5*b**2 - 2 + 1 + 2 + b**3 + 3*b. Calculate m(4).
-1
Let i(w) = -2*w + 3. Let f(p) = -2*p**3 + 8*p**2 - 9*p + 11. Let u(t) = t**3 - 1. Let k(c) = -f(c) - u(c). Let j be k(7). What is i(j)?
-5
Let a = 0 - -1. Let m(i) be the second derivative of -2/3*i**3 - 1/2*i**2 + 2*i + 0. Determine m(a).
-5
Let q(j) be the third derivative of -j**6/120 - 2*j**5/15 - j**4/3 - 3*j**3/2 + 26*j**2. Determine q(-7).
-2
Let c(z) = -z - 10 + 4 - 7 + 0*z. Let u = 0 + -6. Calculate c(u).
-7
Let y(i) be the first derivative of -i**3/3 - i**2/2 + 8*i + 6. Calculate y(0).
8
Let o(z) be the second derivative of z**5/20 + z**4/2 + z**3/2 + 4*z**2 - 4*z. Suppose 0 = -0*x + 2*x + 12. Calculate o(x).
-10
Let o(k) = -k**2 + 3*k - 5. Let j(g) = 2*g**2 - 7*g + 11. Let t(u) = -3*j(u) - 7*o(u). Calculate t(-2).
6
Let o(d) = d + 7. Suppose 11*l + 34 = -21. Calculate o(l).
2
Let m = 200 - 203. Let k(j) be the second derivative of j**5/20 + j**4/6 - j**3/3 - j. What is k(m)?
-3
Suppose 4*d = 3*d. Let o(m) = -7*m**2 + d - 3 + m + 6*m**2 - 3*m. Determine o(-3).
-6
Let r(p) = 2*p - 1. Let z be r(3). Let g(d) = 4*d - d**3 - 6*d**2 - d**2 - z*d + 5 - 4*d. Determine g(-6).
-1
Let k be 3/(-3)*(-1 + -3). Let s(n) = n**3 - 5*n**2 + 5*n. Determine s(k).
4
Let y(g) = -g + 1. Let p be y(-3). Suppose i = -p*u + 29, 3*u - 2*i + 0*i - 8 = 0. Let z(w) = -w**2 + 4*w + 6. Determine z(u).
-6
Suppose 0 = -5*r + 10, -2*b - 3 + 11 = 3*r. Let u be 0*(0 + -1) + b. | {
"pile_set_name": "DM Mathematics"
} |
))/(-3)
6/17
What is the value of (-4)/1*(6/(-1))/24?
1
Calculate ((459/(-85))/9)/(2/(-20)).
6
3*(-16)/(56/(-7))
6
Evaluate ((-1095)/8979)/((10/(-4))/1).
2/41
Evaluate ((-18)/56)/(((-3)/(-16))/((-73)/146)).
6/7
Calculate (8/2)/(10/10*10).
2/5
Calculate (-2)/(4/3)*2752/6192.
-2/3
What is -54*(1340/(-160))/67?
27/4
What is the value of 250/(-45)*(-63)/(-14)?
-25
Evaluate 4*24/(-320)*(-4)/(-1)*1.
-6/5
Evaluate (90/10)/54*(-24)/102*3.
-2/17
Evaluate (-8)/(-8*(-12)/(-384)).
32
Calculate (-30)/55*(-23)/(-69).
-2/11
54/153*7225/255
10
16/(-6)*9/(-222)*11/22
2/37
What is ((-7521)/(-460))/109*4/(-18)?
-1/30
Calculate 200/4*(-38)/(-152)*2/(-1).
-25
((-24)/9*5/20)/((-4)/(-102))
-17
What is -1*((-10)/8)/(-5)*140?
-35
Calculate (-2)/(16/(-28))*((-96)/(-91))/(-8).
-6/13
What is the value of ((-12)/8)/(5*(-15)/250)?
5
What is 88/(-2)*(-416)/(-2288)?
-8
What is the value of 355/71*5/((-50)/(-38))?
19
What is ((-17720)/(-19492))/(24/22)?
5/6
Calculate (-1*(-8)/(1160/15))/(6/4).
2/29
What is 38/(-5)*1125/1350?
-19/3
What is the value of (-21)/(-66)*392/1372?
1/11
Evaluate (4/(-6))/(((-92)/(-138))/(6/3)).
-2
What is -4*(-8)/(-14)*-2*40/160?
8/7
What is ((-4)/2*2/(-20))/(12/20)?
1/3
What is the value of (((-660)/(-77))/(-3))/(((-90)/(-63))/10)?
-20
Evaluate (6/(-21))/((35800/(-1680))/179).
12/5
What is the value of -9*(-76)/(-1710)*(-2)/(-204)*10?
-2/51
Evaluate (-2)/7*(-331)/(-662).
-1/7
What is ((-1)/(-2))/(37/((-259)/14))?
-1/4
What is (2*1)/((-1)/1343*-79)?
34
What is the value of 312/(-156)*(8/2)/2?
-4
Calculate ((-240)/56)/(1/1)*17/51.
-10/7
Evaluate 38/(24/28*((-539)/21)/(-11)).
19
(1942/(-4855))/(2/130)
-26
What is the value of ((-2)/((255/(-10))/(-3)))/(18/27)?
-6/17
Calculate (-568)/568*1/((-1)/1).
1
Calculate -1*-9*(190/(-30))/19.
-3
Evaluate 63/((-108)/12)*(2/6)/1.
-7/3
What is the value of (-9)/(297/3)*2*(-165)/90?
1/3
((-321)/(-107))/((-3)/(-6))
6
(18/24)/(-3)*4*-5
5
Calculate ((63/99)/(-7))/(((-56)/(-16))/7).
-2/11
Calculate (30/(-32)*4)/((-19)/(-76)).
-15
What is ((-2)/16*-40)/((-5)/(60/(-4)))?
15
Evaluate (-7)/(42/4)*33*(-16)/(-5456).
-2/31
What is the value of 53/((-5406)/(-136))*(-42)/(-8)?
7
((-1)/1)/((-76)/(-19))*5/(-1)
5/4
What is ((-5)/((-245)/(-2)))/(10/(-14))?
2/35
4/168*10*(-513)/285
-3/7
What is (2/8)/(7/56)*2?
4
(-39)/78*4/(-6)
1/3
(2*(-27)/276)/((-1866)/2488)
6/23
What is the value of (12/600*25)/(8/(-6))?
-3/8
Evaluate (((-720)/198)/(-10))/(18/33).
2/3
Calculate ((-38)/19)/(20/270).
-27
Evaluate (-19)/95*5*10*(-1)/1.
10
What is (((-26)/(-2))/52)/(9/(-12))?
-1/3
Calculate 5*(-110)/100*208/(-44).
26
What is 7/(105/6)*2850/(-228)?
-5
203/((-33495)/(-550))*(-1)/(10/(-24))
8
10/85*2/6*51/1
2
What is ((60/16)/(-5))/(48/((-32)/(-2)))?
-1/4
Evaluate ((-6)/4)/(378/(-36)).
1/7
Calculate 4/(12/(-1))*(-102)/4*2.
17
Calculate 14/(-6)*42/(-49).
2
Calculate (21/14)/(3*(-21)/(21/3)).
-1/6
What is the value of 4/2*(-5)/10*30/(-55)?
6/11
Evaluate (8/6)/(-2)*(-23283)/41392.
3/8
Calculate (20/25)/((7888/(-4250))/(-58)).
25
(12/16)/(36/16*6893/366)
2/113
Calculate ((-2574)/(-1573))/(18/66).
6
What is 42/(-112)*-2*(-208)/117?
-4/3
Evaluate ((28/5)/(-2))/((-107)/535).
14
(3399/(-12463))/(-3*(-1)/(-1))
1/11
Evaluate ((-24)/5)/(76/(-190)).
12
Calculate 1/3*(-378)/(-84)*(-4)/2.
-3
Evaluate (1345/(-807))/(1/(12/2)).
-10
What is the value of ((-2)/16)/((3/2)/((-12540)/95))?
11
((-11)/3)/(-5*23/345)
11
((-10)/(-2940)*4)/((-3)/(-9))
2/49
Calculate (-176)/(-24)*(-99)/(-66).
11
60/8*-4*19/1520
-3/8
(-42)/10*200/(-120)
7
Evaluate (-123)/11316*-92*(-2)/(-2)*-17.
-17
What is (-6)/(-2)*29/((-2436)/24)?
-6/7
Calculate ((-88)/(-165)*9/(-4))/(6/(-4)).
4/5
Calculate (30/45)/(13/(-273)).
-14
Evaluate 8/(-22)*(-14)/(-4)*(-18)/(-126).
-2/11
What is 21/((-378)/60)*(-1)/((-4)/(-12))?
10
Calculate ((-544)/(-136))/(20/(-45)).
-9
What is the value of ((-36)/330*-10)/(3/44)?
16
What is (-5)/(-23)*-45*(-156)/(-17550)?
-2/23
Calculate (126/((-72)/8))/((-19)/19).
14
What is (-132)/18*(-1)/((-2)/3)?
-11
((-76)/24)/(-19)*-4
-2/3
Calculate ((20/234)/(95/57))/(4/18).
3/13
What is ((-3)/(72/60))/(((-385)/(-126))/(-11))?
9
What is 255/(-425)*95/(-3)*(-3)/(-3)?
19
Calculate (-29)/(1827/(-18))*(-3)/3.
-2/7
Evaluate ((-5)/14)/((85/34)/((-2)/1)).
2/7
What is the value of (-102)/(-27)*459/102?
17
(42*(-14)/(-504))/((-1)/6)
-7
What is the value of ((-14)/(-56)*-20)/(-1)*(-18)/(-105)?
6/7
Evaluate ((-720)/72)/(-1*2).
5
Evaluate ((-4)/(-8))/(5/8*(-83)/(-415)).
4
What is the value of (-6)/(-7)*(-77)/(77/(-7))?
6
Calculate (9/15)/(((-24)/(-114))/(240/36)).
19
Calculate (-8)/(-40)*-15*3/(-36).
1/4
-22*23/(-8855)*-28*1
-8/5
Evaluate ((126/(-45))/(-14))/(2/(-10)*5).
-1/5
Evaluate ((783/(-36))/87)/(2/8).
-1
What is the value of (((-4)/(-10))/((-5)/50))/(620/124)?
-4/5
What is the value of (-15)/12*10/(6/(-36)*-15)?
-5
What is 4/3*4077/(-3624)*4/6?
-1
Evaluate (((-45)/(4/(-4)))/4)/((-78)/26).
-15/4
What is the value of ((-90)/6)/(-5)*(-108)/36?
-9
Evaluate ((-4)/10*(-30)/32)/((-276)/(-184)).
1/4
Calculate (((-1)/(-2))/(6/12))/((-7)/(-63)).
9
Calculate 27*14/567*2/((-92)/(-6)).
2/23
25/(-1)*(-2)/(-5)
-10
Calculate (10/(-22))/(-11*32/1936)*8.
20
What is the value of 8*(-10)/80*-3?
3
What is (-2)/(-4)*(-576)/(-720)?
2/5
Calculate 2/(-2)*10*(-8)/(-240)*-15.
5
Calculate ((3564/110)/27)/((3/40)/(-1)).
-16
What is 54/27*(-21)/14?
-3
What is (15/(7425/(-11))*5)/((-13)/9)?
1/13
What is ((-2)/11)/((-2458)/(-67595))?
-5
What is the value of ((-120)/3150)/(-3*10/45)?
2/35
Calculate ((7/(-42))/(8/6))/((-3)/(-18)).
-3/4
What is the value of 144/(-80)*100/(-30)?
6
(-250)/1050*(-48)/20
4/7
Calculate (-7*(-2)/(-36))/((7840/(-48))/35).
1/12
(-21)/((-546)/(-13))*2*7
-7
What is (-2)/7*7/4*2?
-1
((-42)/(-28))/(-1)*-6
9
What is the value of ((21/(-9))/(-7))/(((-10)/24)/5)?
-4
What is the value of (3*8/(-48)*2)/((-3)/48)?
16
What is the value of ((-156)/455)/(18/(-63))?
6/5
What is the value of 0/((-2)/13*91/(-14))?
0
1001/22022*77/(-3)
-7/6
Calculate 27/1*(441/21)/21.
27
Evaluate (1/1)/((-33)/88*60/20).
-8/9
Evaluate (-190)/(57/(-3))*2/15.
4/3
Evaluate ((-171)/969)/((-24)/16).
2/17
(184/23)/4*(-60)/(-8)
15
Evaluate 8*32/(-512)*((-6)/4)/3.
1/4
3/(1*(-39)/(-52))
4
What is ((-1)/(-3))/((-275)/(-50)*4/(-3))?
-1/22
What is 468/(108/(-9))*(-12)/52?
9
What is the value of ((-46)/322)/((-2)/(-1))?
-1/14
Evaluate 70/20*1826/581.
11
What is (-5)/((-30)/4)*(-120)/8?
-10
Calculate ((-756)/72)/(1/6*3).
-21
4/(-2)*9189/2042
-9
Calculate 12/48*336/(-28).
-3
Evaluate ((-1*(-6)/4)/3)/(625/(-7500)).
-6
What is the value of (4/(-70))/((-52)/728)?
4/5
Evaluate -52*120/(-160)*1/3.
13
Evaluate (-8)/(-30)*530/636.
2/9
Evaluate (3/56)/((-1350)/(-2400)).
2/21
What is (4/((-16)/(-50)))/((-4)/(-8))?
25
Calculate 1*((-2)/(-6)*-22)/(156/(-234)).
11
Evaluate (-46)/(-115)*5/(-12)*(-1)/1.
1/6
(1*(10/(-2))/10)/((-507)/(-52))
-2/39
(44/6)/((-43)/(2580/(-40)))
11
What is the value of 13/(-156)*(-50)/(-5)?
-5/6
-10*((-266)/(-95))/(-2)*3/(-2)
-21
Calculate 19/(-95)*2*(-10)/(-58).
-2/29
What is the value of (-54)/162*18/132*4?
-2/11
Calculate 5/(-225)*-3*((-140)/(-8))/(-1).
-7/6
Calculate (-18)/(-15)*(-14)/(-28)*-5.
-3
What is the value of ((-1*6)/3)/(48/80*5)?
-2/3
What is the value of ((4/10)/(-1))/((-576)/180)?
1/8
Calculate (1*168/(-120))/(-1).
7/5
Calculate (-4)/2*(-19)/(-190)*2.
-2/5
Calculate (20/4)/(2/(((-108)/6)/(-3))).
15
(-10)/8*17/2210*13*-1
1/8
Calculate (8/45*(-60)/(-48))/((-2)/15).
-5/3
What is the value of 7*(21692/(-203))/34?
-22
(-14)/16*(-1796)/3143
1/2
What is the value of (6*(-12)/56*-7)/(10/30)?
27
Calculate ((-28)/(-10))/(1840/115*(-6)/(-80)).
7/3
Calculate 33/539*21*7.
9
Calculate (-195)/(-260)*(1/(-3))/(2/(-4)).
1/2
Calculate (-674)/337*2*27/(-12).
9
Evaluate ((-9)/3)/(-21)*(-161)/46.
-1/2
What is the value of ((-5)/5)/((-13)/13)?
1
Calculate (-4)/168*(-5390)/231.
5/9
(24/(-15))/((-180)/(-225))
-2
Evaluate (-18)/(-24)*4/(-5)*210/(-9).
14
Evaluate (3/(-21))/((-115)/(-805)).
-1
What is ((50/15)/(-5))/(8/(-44))?
11/3
What is ((21/2)/3)/((-84)/(-3))?
1/8
Calculate ((252/(-49))/(-9))/((18/42)/(-1)).
-4/3
Evaluate ((-270)/240)/((-2)/80*300/40).
6
Evaluate (4/(-3))/(52/234*-2).
3
(-49)/(-42)*112/(-196)
-2/3
(-1)/((16/(-96))/(8/(32/(-6))))
-9
Evaluate 8/78*((-5)/4)/(80/96).
-2/13
What is (1540/245)/44*133?
19
What is the value of (8/(-30))/(- | {
"pile_set_name": "DM Mathematics"
} |
lue of 5 + 0 + (-2 - 1 - -7) + 0?
9
What is 8 - (-7 - (-23 + -4))?
-12
Evaluate -22 + 7 + 32 + -30.
-13
What is 27 - (4 - (22 + -7)) - 8?
30
What is the value of (2 - (22 - 2)) + 4?
-14
What is 20 + -18 + 4 + (-5 - -1)?
2
What is the value of -2 - -1 - 1 - (-11 + -19 + 26)?
2
17 - (1 + 2 + 6)
8
Calculate -1 + (-5 + (2 - -3) - -10 - 36).
-27
Calculate (-42 - -1) + (2 - 1 - (-296 + 285)).
-29
What is -3 + 1 + 4 - (2 + 17 + -18)?
1
-14 - -23 - (-1 + 4) - 4
2
What is the value of (-11 - (8 - 4)) + 55 + -64?
-24
What is the value of (0 - (-5 - -3)) + 303 + -300?
5
1 - 14 - ((11 + -38 - -13) + 14)
-13
-27 + 0 + (-35 - -41) + 3
-18
-6 + (2 - 6) + 9
-1
8 + -15 + (37 - (12 - -2))
16
What is the value of 1 + (-1 - -8) + 15 + -4 + -26?
-7
What is 10 + (-2 - -2) + -20 + 11?
1
Calculate 10 + -1 - (-39 - (-12 + -6) - -35).
-5
What is the value of (40 - -48) + -77 - ((0 - 0) + 25)?
-14
-3 + 1 + 2 + 7 - (3 - -11)
-7
What is -2 + 12 + (-11 - (15 - 5 - -9))?
-20
What is (7 + 4 + -5 - 10) + (2 - 2)?
-4
What is -16 + (-4 - -16) + 7?
3
What is the value of 40 + (13 + -7 + -16 - 0 - 0)?
30
374 + -372 - (0 + 0 + -6)
8
What is the value of (-23 - -27) + 17 - 28?
-7
Calculate -4 + (-1 - (0 + 4 + -1 + -13)).
5
Calculate -7 + 1 + (667 - 679).
-18
What is the value of 22 + 10 + (13 - 35 - 1)?
9
What is the value of (-49 - -60 - (-1 - -7)) + 2?
7
Calculate 8 - 0 - ((8 - 8) + 2 - 17).
23
What is the value of -21 + 0 + (9 - 3 - -1)?
-14
What is 31 + 1 + (-229 - -223)?
26
3 + 3 + 18 + -16 + 9 + 9
26
Evaluate 2 - (4 - 13) - 20 - 9.
-18
Evaluate 0 + 2 + -2 + -1 + (10 - 5).
4
What is the value of 294 - 282 - ((-2 - -2) + 0)?
12
-5 - (0 - -1 - ((33 - 24) + 5))
8
-188 + 211 + -25 + -2
-4
15 + (50 - 87 - (-17 + 1))
-6
What is the value of 20 - ((-2 - -16) + -9)?
15
Evaluate -6 - (11 + 1 - 22) - (3 - -3).
-2
Calculate -21 - (-11 - (-5 - -3)).
-12
Evaluate -34 + 16 + -1 - -37.
18
Evaluate (-142 - -133) + 10 + 0.
1
Calculate 4 - (-9 - ((-11 - -3) + -10)).
-5
What is 4 - -1 - (-3 - (14 + -10 + -1))?
11
What is 159 - 145 - (-2 - -34)?
-18
Evaluate -2 + -6 + 13 + -15 + -1 + 2.
-9
What is the value of 12 + -3 + -3 - (3 + 2 - 3)?
4
Evaluate -10 - (-10 + (11 - 11)).
0
Evaluate (-1 - (-1 - -15)) + -4.
-19
(-2 - (2 - 2)) + -2 + 4 + -8
-8
-14 - -1 - (14 - 14 - 3)
-10
Evaluate -14 + 29 + (-16 - -1) + 6.
6
What is the value of 349 + -366 + (0 - -11)?
-6
What is the value of -1 + -2 - -1 - (22 + -19 - -6)?
-11
What is 4 + 8 - (9 - -1) - 1?
1
(-5 - 2 - -8) + -8 + -3
-10
Calculate (-11 + 4 - -8) + 4 + -10.
-5
Calculate -3 - 3 - (7 + -10 - -3 - 0).
-6
(1 - -8) + (8 - -13) + -9
21
0 - -4 - (-17 + (4 - -20))
-3
-19 + (31 - 7) + 16
21
What is the value of 16 + (-14 - (5 + -1))?
-2
What is -6 - (26 - (1 + (-6 - -11 - 14)))?
-40
Evaluate -55 - -56 - (-2 + -10 - -2).
11
Evaluate (19 - -25) + -20 + -11.
13
(-93 - -96) + -22 + 0
-19
Calculate 7 + (-7 - -6) + -12.
-6
Evaluate 5 + 5 + -60 + (135 - 117).
-32
Calculate -6 + (-12 + -14 - -49).
17
Evaluate 11 + (44 - 52) - (-2 - 7).
12
What is (7 - 6) + (-31 - -40)?
10
What is the value of (6 - (16 - 2 - 8)) + 2?
2
What is (-2 + -15 - -3) + (-88 - -94)?
-8
(9 - (7 - 3)) + (-17 - (-12 + -21))
21
What is 4 - (-5 + 55 - 9 - 13)?
-24
Evaluate 22 - (18 + -5 + 14 + -13).
8
21 - (-5 + 33 - -4)
-11
Calculate (-5 + -2 - -29) + -15.
7
6 - 3 - ((3 - 3) + 4)
-1
Calculate 14 - (2 - -8) - (10 + 8).
-14
Calculate (-10 + 2 - 14) + 10.
-12
Evaluate -4 + -4 + (17 - -2 - 34).
-23
(11 - -2) + (4 - 24)
-7
Evaluate -13 + (-4 - (-20 - -26)).
-23
Evaluate -671 - -681 - (3 - 0).
7
What is -114 + 110 + 0 + 1 + -3 + 0?
-6
What is the value of (24 + -7 - 6) + -23 + -1 + -2?
-15
Evaluate -8 + 6 - -9 - (-10 + -7).
24
Evaluate -65 - -56 - (1 + (-11 - -1)).
0
Evaluate 5 + (0 - 3) - (-211 - -221).
-8
Calculate 6 + (-18 + -10 - -14).
-8
(3 - (17 - 2)) + (-5 - -5)
-12
Evaluate -8 + 0 + 3 + -3 + 5 + 0.
-3
What is the value of -14 - (-2 - (-14 + 5) - (1 - -8))?
-12
(-175 - -155) + (2 - -45)
27
Calculate 5 + -18 + 12 + 15.
14
Evaluate 0 + (-2 - (-1 + 3) - (146 - 146)).
-4
(-1 - -4) + (-19 - -18) + -6
-4
Calculate -11 + (-4 - ((-3 + -8 - -6) + 0)).
-10
What is the value of 5 + (20 + -36 - (-4 + 0)) - 0?
-7
Calculate -1 + (7 + -4 - 4) - (-14 + 15).
-3
11 + -11 - 9 - -26
17
Calculate (-4 - -1) + 2 - (7 - (-2 + -5)).
-15
Calculate -32 - ((25 - 44) + -26).
13
Calculate -23 + 8 + 31 + 5.
21
Calculate (-19 - -100) + -18 - 36.
27
What is the value of 1 - (28 + -8 + 14)?
-33
What is 6 - (-14 - (11 + -12) - (-7 + 2))?
14
-6 - -12 - 5 - 4 - (2 - -1)
-6
What is 549 + -538 - (2 - 1 - -14)?
-4
What is 32 + -62 + (-2 - -33)?
1
-15 + (27 - 4) + 7
15
What is the value of -41 + (14 - (12 - (11 + -5))) + 3?
-30
What is (16 + -9 - 11) + 5 + -15?
-14
-24 - (-3 + -8) - -3
-10
What is the value of (3 + 8 - 9) + 0 + 4 - -4?
10
What is -1 + (-19 - 0) + 12 + -23 + 14?
-17
Evaluate 10 + 1 + -6 + -5.
0
What is (3 - 0) + -104 + 100?
-1
Calculate -17 - (-25 + 24 + -33).
17
Calculate (43 - 42) + 0 + 7 + -12 + 9.
5
Evaluate (11 - (22 + -10) - (-34 + -5)) + -7.
31
Evaluate 5 + 15 - (72 - 51).
-1
What is the value of (5 - 14) + 12 - (0 + 7 + -2)?
-2
What is 9 + (-3 - (1 + (-4 - 4)) - -7)?
20
Evaluate 29 - -8 - (10 + 9).
18
Evaluate -9 + (0 - (21 - 44)).
14
Calculate 1 + (-9 - 0 - -8 - 3).
-3
Calculate 21 + 0 - (20 - (21 - 11)).
11
Evaluate 0 + -6 - ((10 - 0) + -17).
1
What is -7 + -1 + 23 + 6 + -33?
-12
2 + (18 - 9) - (-2 + 1)
12
Evaluate (34 - 18) + -29 + 15.
2
Calculate -10 - (-6 - 15 - -14).
-3
What is (14 + 4 - 9) + -12 - (21 - 4)?
-20
What is the value of 34 - 36 - (3 - -12)?
-17
What is (-1 - -29) + -47 + 40?
21
13 + -38 + 12 - 1 - (-1 - 6)
-7
Calculate -104 - -83 - (-9 + 2).
-14
Calculate (16 - -1) + -2 + -6 + (2 - -1).
12
Evaluate (24 - 16) + -15 - 7.
-14
What is -10 + 9 + (-7 - (-5 + -1)) - 3?
-5
16 + -18 - -3 - -8
9
Calculate -10 + 1 - (-75 + 29 - -40).
-3
What is the value of 10 + 0 + 0 + -21 + -4?
-15
(8 + (-1 - 14) - -2) + -2 + 3
-4
-3 - (6 - -2 - -1)
-12
What is the value of -30 + 17 + (-29 - -9) + 5?
-28
What is the value of (-8 - -18) + 2 + 0?
12
(9 - (-18 - -5)) + -19
3
What is the value of (9 - (-44 + 46)) + 11?
18
What is the value of 81 + -11 + -73 - (1 + -6)?
2
4 + (2 + 2 - (-1 - -13))
-4
Calculate (214 - 216) + (-4 - -23).
17
Calculate -17 - (31 + -89 + 16).
25
What is 8 - (2 + -4) - (189 + -181)?
2
Calculate -9 + -9 + (-1 - 5 - -6).
-18
Calculate (10 - -5) + 8 + -12 + -3.
8
What is -4 + 9 + (2 + -2 - (23 + -18))?
0
-28 + (3 - -24) - -23
22
0 + (-1 + 1 - -13 - (8 - 2))
7
Evaluate -11 + -21 + (12 - (1 - -4)).
-25
-23 - -8 - -18 - (21 + -1) - -2
-15
What is the value of (-21 - (-33 + 14)) + 12?
10
13 + -18 + (-5 + 6 - 2)
-6
What is the value of -24 - (-27 - (12 - -11))?
26
What is -5 - ((-5 - -7) + -4 + (-4 - 1))?
2
What is (-3 - -8 - 11) + 10 - 10 - -18?
12
What is -6 + (20 + 3 + 7 + -7 - 3)?
14
What is the value of -27 - (-45 - -17) - (2 + 19)?
-20
Calculate -6 + (-4 - 12) + (0 - -9) + 4.
-9
Evaluate (32 + -14 - 1) + -36.
-19
What is the value of 6 + (-46 - -41) + (-2 - -2)?
1
-52 + 15 - -5 - (-12 + 1)
-21
What is the value of -4 - (5 + -2) - (-26 + 10)?
9
Evaluate -5 + 11 + (-2 - (-4 + -3)) + 0.
11
What is the value of (48 - 5) + 2 + -23?
22
13 + 12 + -23 - 8
-6
Evaluate 3 + (-1 - 5) + 7 + 2.
6
(-10 - -2) + ((-10 - -10) + -4 - -8)
-4
-4 - (-10 + -3 + -3)
12
What is -2 + -1 + 1 + -12 + 7?
-7
What is (-10 - (-8 - (-2 - -10))) + (0 - 17)?
-11
(2 - -2) + -404 + 384
-16
Evaluate -1 - (-5 - 1) - (-320 - -311).
14
What is (-4 - -3) + 2 - 8?
-7
What is the value of (5 - (1 + -38)) + -10 + -17 + 22?
37
-81 - (-44 + -22 + 22)
-37
Calculate (-2 - (-2 - (1 + -7))) + (2 - -13).
9
Evaluate -10 + 2 + (22 - 13) + -10 + -2.
-11
What is the value of (-4 - 2) + (-31 - (-8 - 7))?
-22
Calculate 28 - 39 - (1 + (-9 - (-1 + -9))).
-13
-6 - (17 + -2 + (10 - 14 - 3))
-14
Calculate -18 + 28 - -12 - 11.
11
What is -3 + -8 + 0 - (159 - 166)?
-4
What is the value of -4 - ((-11 - -5) + 0)?
2
What is -206 - -234 - (4 + -7 - (-14 - 0))?
17
What is the value of 9 + 9 + -17 + -13?
-12
What is the value of 1 - 7 - (-31 - (21 - 56))?
-10
What is 6 + 3 + (10 - 11 - 15) + 31?
24
What is 0 - (-12 + (26 - 9))?
-5
What is 29 - 40 - 22 - -35?
2
-1 - (5 - (1 - (7 + -14))) - 7
-5
What is -15 + (45 - (12 + -15 - -11))?
22
-3 + -13 + 8 + 7 + 8
7
What | {
"pile_set_name": "DM Mathematics"
} |
(x) = -x**3 + 6*x**2 - x + 8. Let d be p(6). Which is the nearest to s? (a) 3/5 (b) d (c) 1
a
Let o = -0.07 - -5.07. Let s = 0.058 + -1.028. Let d = -0.03 + s. Which is the nearest to -2/3? (a) 1/2 (b) o (c) d
c
Let x = -6.04 + 6. Let y = 0.01 - 0.05. Let j = y - x. Which is the nearest to j? (a) 1/4 (b) 2/3 (c) -1
a
Let k = 0.07 - -3.93. Let t = -1.9 - -3. Let f = 0.1 - t. Which is the nearest to -0.1? (a) f (b) k (c) -2
a
Let g = 2 - -3. Suppose 2*p = 5*k + 5 + 42, -p + 40 = -4*k. Let d = -7 - k. Which is the nearest to -1? (a) -5 (b) d (c) g
a
Let m be (-4)/(-6)*6/14. Let v be ((-1030)/296)/((-84)/32). Let p = 2/259 + v. Which is the nearest to m? (a) 0 (b) 0.3 (c) p
b
Let u = 18 - 6. Let a = 10 - u. What is the closest to -0.1 in 0.3, a, 0.2?
0.2
Let p(w) = w - 3. Let k be p(0). Let u be (-1)/4 + 1/(-12). Let a = 1817/272 - 105/16. What is the nearest to u in k, 2, a?
a
Let r = 13.9 + -13. Let s = r - 1.3. What is the nearest to 1/2 in 1/5, s, -4?
1/5
Let r = -2.05 - -0.05. What is the closest to -8/3 in 1, -0.5, r?
r
Let s = 0.55 - 0.05. Let m = s + -1. Which is the nearest to -1? (a) 2/9 (b) m (c) 0.2
b
Let b = 90.1 + -90. Let i = 0.5 + -0.5. What is the nearest to i in -1/4, 5, b?
b
Let l be -1*((-10)/(-60))/(1/2). Let w be -1*2 + (-4)/(-2). Which is the nearest to w? (a) -5/2 (b) -5 (c) l
c
Let o = 343/1665 - -3/185. Suppose -7*l = -6*l - 28. Let k = l + -25. What is the nearest to 1/2 in -4, k, o?
o
Suppose 3 = 5*m - 2*m. Let y = 16.7 - 17.2. What is the closest to -1 in m, 3/5, y?
y
Let h = 96 - 482/5. What is the nearest to 0 in -1, h, 0.2?
0.2
Suppose 0 = 2*y - y. What is the closest to -3 in -0.1, -5, y?
-5
Suppose -3*y - k + 10 = 0, 2*y - 5*y + 14 = 2*k. Let j = -64.1 - -64. What is the closest to -1 in j, -2, y?
j
Let y = -177/2 + 1589/18. Let t = 0.1 + -0.2. Let u = -0.2 - t. Which is the nearest to u? (a) 1/5 (b) y (c) -2/7
b
Let d be (4/(-2))/((-4)/(-2)). Let u be 1 - (d + -1 - -3). Let g be u/(3/1)*1. What is the nearest to -2 in g, 3/5, 1/2?
g
Let p(d) be the second derivative of -d**3/3 - 9*d**2/2 - 3*d. Let s be p(-6). Which is the nearest to 0? (a) 4 (b) s (c) 3/4
c
Suppose 5*i - s + 29 = 0, -4*i = -0*i + 3*s + 8. Let r = -48.33 - -48. Let l = -0.13 - r. Which is the nearest to -2/7? (a) l (b) -1/2 (c) i
b
Let s be 15/(-9)*((-6)/10 - -1). Let i = 8 + -2. Let y be 11/i + -1 - 1. Which is the nearest to -0.1? (a) s (b) -5 (c) y
c
Let g = 0.036 + 1.964. Which is the nearest to g? (a) -0.5 (b) 0 (c) 1
c
Let z = -0.8 + 3.3. Let k = -1 + z. Let h = 0.5 + k. Which is the closest to h? (a) 0 (b) 0.2 (c) 1/2
c
Let v = 2.96 - -0.04. Let g = 3.7 + -0.7. Which is the closest to g? (a) 2 (b) -0.3 (c) v
c
Let x = -4 - -6. Let r = 2 + -2. Which is the nearest to 0? (a) r (b) 3 (c) x
a
Let f = -6 + 5.9. Let q = 0.02 - 0.52. Which is the closest to 1/3? (a) 1 (b) f (c) q
b
Let x = 1 - 0.9. Suppose -2*l + l + 2 = 0, p - 9 = -4*l. Let t be ((-8)/30)/((-6)/(-9)). What is the nearest to x in t, p, -5?
t
Let i = -2.9 - -3. Let f = -23.27 - -24.3. Let h = f + -0.03. Which is the nearest to h? (a) i (b) -5 (c) 0.2
c
Suppose v - 5 = -0*n - 3*n, 0 = 5*n + 4*v - 20. Let x(b) = 10*b + 0*b**2 - b**2 - 4*b - 5. Let c be x(6). What is the nearest to n in -3, 3/4, c?
3/4
Let u = -0.9 - 0.1. Let h = -0.5 - -0.3. What is the closest to u in -4, h, -0.4?
-0.4
Suppose 4*j = 15*p - 17*p + 4, 0 = -2*p + 2*j + 10. What is the closest to -9 in p, 3, 0.3?
0.3
Let g = 14 - 13.8. Which is the nearest to g? (a) -0.4 (b) -3/4 (c) -0.3
c
Suppose 5*q + 4*d = -11, 2*d = q + 4*d + 1. What is the nearest to 3 in q, 0.2, -2?
0.2
Let o = -18 + 17.1. Let z = -0.4 - o. Let v = z - 0.4. Which is the nearest to 1? (a) v (b) -0.5 (c) 2
a
Let v = 146 - 146. Which is the nearest to 0.1? (a) v (b) 4 (c) 0.23
a
Let z = 17.8 + -23. Let y = -0.2 - z. Which is the nearest to -0.1? (a) -5 (b) y (c) 4
c
Let r = -207/5 - -42. What is the nearest to r in -0.3, 3, 1/3?
1/3
Suppose 4*m = 3*m + 4, -2*d + 4*m - 16 = 0. Let u = d + 0. Let l = 0 + -3. What is the closest to -2/5 in u, l, 1/6?
u
Let u(l) = 11*l + 18. Let z be u(-2). Let c be ((-4)/(-50))/((-3)/15). Let d be (-1)/(-6)*9/(-6). What is the closest to d in z, c, 0.2?
c
Suppose 4*q + 3*s = -5, -4*s = 3*q - 4*q - 6. Which is the nearest to 0.1? (a) 3 (b) -3 (c) q
c
Suppose r = -5*s - r + 21, s - 7 = r. What is the closest to -0.1 in s, -2, 13?
-2
Let i = -55 - -87. Let y = i - 61/2. What is the nearest to 0 in 4, y, -5?
y
Let z be 0 - (2 - 3 - 2). Suppose -10 = -z*i + 4*d, i - 3*d = -4*d + 1. Let r be (-52)/80 - i/(-8). Which is the nearest to 2? (a) 2/3 (b) r (c) -4
a
Let l = 79/3 - 53/2. What is the nearest to -1 in -0.3, l, 1?
-0.3
Let v = 2.09 - 0.09. Suppose -21*y + 8 = -19*y. Which is the nearest to v? (a) y (b) 1/3 (c) -4
b
Let f = 38 + -37.05. Let g = -0.05 - f. Let z = 0 - g. Which is the closest to z? (a) 0.4 (b) 2/11 (c) 5
a
Let d be 3/(-6) - (-1)/(-10). What is the closest to -1/3 in 0, -0.5, d?
-0.5
Suppose -g - n - 1 = 0, 4*g + 3*n - 13 + 15 = 0. What is the closest to g in 2/9, -1/2, 18?
2/9
Let y be -34*-2*3/(-12). Let l = y + 20. What is the nearest to 0 in 0.1, l, 2?
0.1
Suppose 5*m + 48 = 2*s - 48, 0 = -4*m + 3*s - 81. Let f be 1/(3/(m/33)). Which is the closest to -1/5? (a) f (b) -5 (c) -4
a
Let t be (-2)/3 + (-8)/(-10). Let z = -0.5 - -1. What is the nearest to 0 in t, -5, z?
t
Let t = 2 - -2. Suppose 0 + 8 = -2*m. Which is the closest to -1? (a) t (b) 0.3 (c) m
b
Let s(p) = 5*p**3 - 2*p + 1. Let t be s(1). Suppose 106 = t*o - 18. Let d = 91/3 - o. What is the nearest to -1 in d, -2, -1/4?
d
Let s = 0.205 - 0.205. What is the nearest to -3 in -3/4, s, 3?
-3/4
Let o = 187 + -2803/15. What is the closest to 2 in -2, -4, o?
o
Let w = -129 + 128. Which is the nearest to w? (a) 0.4 (b) -1/6 (c) 5
b
Let k = 9 + -9.2. Let h = k + 0.1. Which is the closest to h? (a) 0 (b) -1 (c) 0.4
a
Let k = 0.231 + -0.131. Let l = -0.1 - -0.3. What is the closest to 2/7 in k, l, -3/2?
l
Let d = 9.53 - 0.03. Let w = 9 - d. Suppose -2*l - l - 40 = 5*g, 3*g + 15 = 0. Which is the nearest to -1/4? (a) l (b) -2 (c) w
c
Let j = -2 + -1. Let x = j - -2.9. Which is the closest to x? (a) 1 (b) 3 (c) -0.5
c
Let l be (4/3 - 3/2)/1. Which is the closest to l? (a) -5 (b) 0.4 (c) 0.3
c
Suppose 2*y = -y - 12. Let p(n) = -n - 8. Let f be p(-8). What is the nearest to 0.1 in f, -0.2, y?
f
Let w = -2 + 1. Let d = 3 - 1. What is the closest to w in 0.1, 0.4, d?
0.1
Let y be ((-21)/(-91))/((-6)/4). Let d = 25/18 + 1/9. What is the nearest to 0.1 in -0.1, y, d?
-0.1
Let n = 251 - 240.9. Let g = -10 + n. Let s = -7/72 + 2/9. What is the nearest to -1 in -3, g, s?
g
Let k(f) = -f**3 + 6*f**2 + 2*f - 7. Let o be k(6). Let x = -0.39 - 0.11. Which is the closest to 1/3? (a) 1/3 (b) x (c) o
a
Suppose 2*g = -0*g + 4. Let q be ((-9)/15)/(g/(-10)). Suppose -2*v + 2 = q*r, -6*r = -r - 2*v - 14. What is the closest to -0.2 in -2/7, -0.1, r?
-2/7
Let f be (-5)/(15/(-6)) + -2. Let s = -3 - f. Let o be s/(-2)*1/3. Which is the nearest to o? (a) 2 (b) -4 (c) 0.4
c
Let u = -3 - -10. Let x = u - 4. Let k = -2 - -1. Which is the closest to k? (a) 1/3 (b) -0.2 (c) x
b
Let v = 4.969 + 0.031. What is the nearest to -1 in -1.1, v, 0.5?
-1.1
Let r = -0.08 - 0.12. Let z = 0 - r. Let d = 0.3 - 0.8. Which is the closest to z? (a) d (b) -0.1 (c) -0.3
b
Let l = 8 - 8. Suppose -2*k - 3 - 7 = l. Which is the closest to 2/7? (a) k (b) 1 (c) -3/5
b
Suppose 4*a + 4 + 2 = -2*m, 5*m - a - 7 = 0. What is the closest to m in 0, 3/5, -0.4?
3/5
Let c = -65 + 40. Let d = -21 - c. Let r be (12/5 - 1) + -1. What is the nearest to 0.1 in r, -5, d?
r
Let v = 4.5 - -0.5. Let q be 33/21 + 2*-1. What is the nearest to 0.2 in q, 0.3, v?
0.3
Let s = -150 - -3448/23. What is the closest to 1 in -0.1, s, -4?
s
Let o = -2.2 + -6.8. Let u = o + 7. Suppose p = -p. Which is the nearest to u? (a) p (b) 1/5 (c) -1
c
Let t = -0.039 - -0.239. Let n be (-12)/16*(-1)/3. Let u = -2/745 - 1472/6705. Which is the nearest to t? (a) n (b) 5 (c) u
a
Let n(g) = -g**3 - 20*g**2 + 2*g + 40. Let u be n(-20). Which is the nearest to -0.05? (a) 4 (b) u (c) -0.2
b
Let h = 10 + -9. Which is the nearest t | {
"pile_set_name": "DM Mathematics"
} |
2. Calculate q(-1).
-18
Let w(i) = -31*i - 58. Determine w(-2).
4
Let o(l) = -l**3 + 2*l**2 + 13*l + 4. Calculate o(-3).
10
Let q(g) = g**3 + 14*g**2 - 32*g - 2. Give q(-16).
-2
Let a(m) = -m**3 - 16*m**2 - 14*m - 3. Calculate a(-15).
-18
Let z(n) = 2*n**2 + 10. Give z(4).
42
Let n(i) = i**3 - 12*i**2 - 16*i - 7. Calculate n(13).
-46
Let o(l) = l**2 + 36*l - 113. Determine o(3).
4
Let i(h) = -h**2 - 2*h + 29. Determine i(-5).
14
Let f(p) = -p**3 - 25*p**2 + 27*p + 18. Give f(-26).
-8
Let d(k) = 4*k**3 - 25*k**2 + 7*k - 13. Give d(6).
-7
Let t(a) = 5*a - 58. What is t(9)?
-13
Let c(l) = l**2 + l + 8. Calculate c(0).
8
Let q(i) = -5*i + 117. What is q(23)?
2
Let s(w) = w**2 + 14*w + 20. What is s(-12)?
-4
Let d(u) = -5*u + 24. What is d(13)?
-41
Let f(p) = 6*p + 42. What is f(-7)?
0
Let v(h) = -7*h + 18. Determine v(11).
-59
Let f(v) = -v**2 + 6*v - 2. Determine f(4).
6
Let w(h) = -h**3 + h**2 - h - 1. Determine w(3).
-22
Let t(q) = -q**3 - q**2 + 6*q + 7. What is t(-2)?
-1
Let u(g) = g**3 - g**2 - 12*g + 11. Calculate u(4).
11
Let i(o) = o**3 - 9*o**2 - 11*o + 7. Calculate i(10).
-3
Let f(s) = -2*s + 14. Give f(-4).
22
Let h(r) = -5*r**2 - r - 2. Calculate h(-2).
-20
Let l(k) = -k**3 + 7*k**2 - k - 13. Give l(5).
32
Let l(w) = w**3 + 10*w**2 - 14*w - 143. Calculate l(-10).
-3
Let z(k) = -160*k + 636. Determine z(4).
-4
Let x(t) = -2*t**2 + 14*t - 5. What is x(7)?
-5
Let f(k) = -9*k - 4. Calculate f(6).
-58
Let z(i) = -7*i - 26. Calculate z(-4).
2
Let l(g) = 9*g - 85. What is l(6)?
-31
Let w(h) = -h**3 - 23*h**2 + 108*h + 4. Give w(-27).
4
Let c(r) = r**2 + 29*r + 64. What is c(-27)?
10
Let z(x) = x**3 - 5*x**2 + 17*x - 71. What is z(5)?
14
Let v(k) = k**2 - 21*k + 2. Determine v(21).
2
Let t(n) = -n**3 + n**2 + 3*n + 2. What is t(3)?
-7
Let u(t) = 4*t**3 - 66*t**2 + 33*t - 22. Calculate u(16).
-6
Let k(q) = -q**3 - q**2 + 41*q + 61. Give k(-6).
-5
Let s(c) = -88*c + 446. Calculate s(5).
6
Let t(k) = k**2 - 4*k - 5. Give t(-2).
7
Let w(c) = -3*c - 12. Calculate w(7).
-33
Let q(y) = 2*y + 20. What is q(-9)?
2
Let a(w) = 3*w - 40. Calculate a(9).
-13
Let b(w) = 3*w**2 - w + 4. Give b(0).
4
Let x(k) = -k**3 + 16*k**2 - 18*k + 40. Determine x(15).
-5
Let m(a) = a**2 - 13*a + 16. Calculate m(12).
4
Let g(x) = -x**3 + 4*x**2 - x + 1. Calculate g(3).
7
Let h(n) = n**3 + 13*n**2 - 14*n + 11. What is h(-14)?
11
Let x(p) = p**2 - 19*p + 1. Calculate x(19).
1
Let g(f) = 2*f + 31. Determine g(5).
41
Let s(r) = 2*r**3 + r**2 - 5*r - 5. Give s(-2).
-7
Let l(r) = r**3 - 6*r**2 - 8*r + 9. What is l(6)?
-39
Let x(w) = -w**3 - 6*w**2 - 2*w - 7. Give x(-6).
5
Let k(m) = -4*m**2 + 25*m - 23. Determine k(5).
2
Let h(s) = s - 10. What is h(10)?
0
Let v(h) = h**3 - h**2 - 5*h + 1. Determine v(3).
4
Let w(d) = -10*d - 22. Calculate w(-2).
-2
Let n(i) = -i**2 - 14*i - 38. Determine n(-5).
7
Let r(w) = 4*w**2 - 3*w - 2. What is r(-1)?
5
Let k(y) = y**2 - 24*y + 100. What is k(19)?
5
Let w(h) = -h**3 + 19*h**2 + 22*h + 27. What is w(20)?
67
Let t(o) = o**2 + 9*o - 10. What is t(-7)?
-24
Let x(c) = -c**3 - 13*c**2 + 7. What is x(-13)?
7
Let f(t) = -17*t - 35. Determine f(-2).
-1
Let b(p) = -p**3 - 8*p**2 + 8*p + 9. Give b(-9).
18
Let w(c) = -c**2 - 16*c - 22. Calculate w(-17).
-39
Let s(f) = 131*f + 381. Determine s(-3).
-12
Let n(o) = 2*o - 1. Determine n(6).
11
Let o(t) = -t**3 + 19*t**2 - 21*t + 36. Determine o(18).
-18
Let t(o) = 11*o + 106. Determine t(-10).
-4
Let b(d) = 2*d**2 + 2*d + 5. Determine b(0).
5
Let x(w) = 2*w**3 - 24*w**2 - 28*w + 32. Determine x(13).
6
Let v(h) = -h**2 + 17*h - 10. Calculate v(7).
60
Let i(z) = -z**2 + 1. What is i(2)?
-3
Let g(z) = 9*z + 1. Determine g(8).
73
Let m(g) = -g**3 + 15*g**2 + 31*g + 8. Give m(17).
-43
Let y(r) = 2*r**2 + 24*r - 31. What is y(-11)?
-53
Let s(y) = 14*y + 221. Calculate s(-15).
11
Let p(g) = -g**3 - 24*g**2 - 65*g - 28. Determine p(-21).
14
Let u(v) = v**2 - 5*v - 21. What is u(10)?
29
Let r(p) = -2*p**2 - 4*p + 1. Give r(-2).
1
Let h(a) = -a**2 + 8*a + 110. Calculate h(-7).
5
Let v(j) = -j**3 - 4*j**2 + 4*j + 3. Determine v(-4).
-13
Let g(b) = -b**3 - 10*b**2 - 13. Calculate g(-10).
-13
Let a(x) = 5*x. What is a(-8)?
-40
Let a(o) = -4*o + 6. Calculate a(-9).
42
Let o(p) = -3*p + 45. Determine o(-5).
60
Let y(p) = -2*p**2 - 10*p - 13. Calculate y(-4).
-5
Let y(u) = -2*u - 39. Determine y(-22).
5
Let r(f) = -f**2 - 10*f + 45. What is r(6)?
-51
Let b(a) = -a**3 - 18*a**2 + 12*a - 62. Give b(-19).
71
Let t(v) = -v**3 + 4*v**2 + 8*v - 6. Determine t(6).
-30
Let b(i) = -i**2 + 11*i - 15. Calculate b(7).
13
Let r(q) = -q**2 - 14*q - 12. Give r(-12).
12
Let p(d) = d**2 + 14*d + 10. Calculate p(-13).
-3
Let n(o) = o**2 - 4*o - 1. Give n(6).
11
Let o(y) = -4*y**2 - y - 3. Calculate o(3).
-42
Let y(n) = n**3 + 2*n**2 + 4*n + 1. What is y(-2)?
-7
Let x(s) = -s**3 - 8*s**2 - 23. Determine x(-8).
-23
Let o(a) = a**3 - 4*a**2 - 5*a - 1. What is o(5)?
-1
Let s(h) = -9*h + 7. Give s(0).
7
Let m(t) = t**3 - 16*t**2 - 18*t - 33. What is m(17)?
-50
Let k(y) = 2*y**2 + 3. Determine k(0).
3
Let o(t) = -3*t**3 - 49*t**2 - 15*t + 13. Calculate o(-16).
-3
Let j(i) = -i**2 + 8*i + 1. Calculate j(6).
13
Let x(j) = -2*j - 8. Determine x(2).
-12
Let s(p) = p**3 + p**2 - 2*p + 1. Determine s(-3).
-11
Let r(s) = s - 6. Calculate r(-8).
-14
Let p(v) = v**3 - 10*v**2 + 11*v - 27. Determine p(9).
-9
Let y(v) = -v**2 - 61*v - 337. Give y(-6).
-7
Let z(o) = -o**3 - 16*o**2 + 15*o - 38. Determine z(-17).
-4
Let b(y) = -2*y**2 + 21*y - 10. What is b(10)?
0
Let d(h) = h**3 + 16*h**2 + 3*h + 30. Determine d(-16).
-18
Let v(z) = z**3 - 3*z**2 + 2*z - 4. Calculate v(4).
20
Let d(v) = v - 7. Determine d(7).
0
Let o(k) = k**2 - 32*k + 189. What is o(25)?
14
Let o(a) = 7*a + 6. Calculate o(-5).
-29
Let p(a) = a**3 + 17*a**2 + 16*a + 27. Give p(-16).
27
Let c(t) = -t**3 - 22*t**2 - t. What is c(-22)?
22
Let b(p) = 17*p**2 + 4*p - 6. Calculate b(2).
70
Let i(m) = m**3 - 4*m**2 - 2*m - 7. What is i(5)?
8
Let u(n) = 16*n - 10. Calculate u(2).
22
Let p(k) = k - 17. Determine p(9).
-8
Let w(z) = -z**2 + 5*z - 5. What is w(0)?
-5
Let v(u) = -10*u - 116. Give v(-11).
-6
Let h(y) = y. What is h(-7)?
-7
Let l(m) = -20*m - 88. Determine l(-5).
12
Let v(m) = 6*m + 1. Calculate v(1).
7
Let d(u) = -5*u**2 + 14*u - 18. Calculate d(2).
-10
Let q(m) = -m**3 - 7*m**2 - 11*m - 18. Give q(-8).
134
Let d(m) = m**3 + 7*m**2 + 10*m - 3. Determine d(-4).
5
Let q(u) = u**2 - 31. Determine q(6).
5
Let v(m) = 16*m**2 + 2*m + 1. Give v(-2).
61
Let a(w) = -53*w**3 + w**2 + 3*w - 3. Calculate a(1).
-52
Let a(k) = 37*k**2 + 1. Calculate a(-1).
38
Let k(s) = -s**2 - 3*s - 6. Calculate k(-3).
-6
Let g(s) = 2*s**2 - 35*s + 9. Give g(17).
-8
Let p(u) = -10*u - 47. Calculate p(-4).
-7
Let w(s) = 22*s + 23. Calculate w(-5).
-87
Let m(c) = 36*c - 3. Determine m(2).
69
Let j(f) = f**3 + 22*f**2 + 39*f - 23. Give j(-20).
-3
Let b(h) = h**3 - 28*h**2 + 2*h - 31. Determine b(28).
25
Let w(k) = -k**2 + 8*k - 25. Give w(6).
-13
Let z(c) = 2*c - 21. Calculate z(17).
13
Let n(k) = 28*k + 29. Give n(-1).
1
Let c(i) = -i - 12. Determine c(0).
-12
Let p(c) = 3*c - 41. Determine p(12).
-5
Let y(h) = h**3 - 4*h**2 - 4*h + 8. Give y(6).
56
Let r(g) = g**3 - 4*g**2 + 2*g + 1. Calculate r(4).
9
Let f(z) = -6*z - 49. Give f(-9).
5
Let j(h) = h + 4. Determine j(6).
10
Let a(q) = 22*q**2 - 17*q - 16. Determine a(-1).
23
Let z(s) = -s**3 - 4*s**2 - 2*s + 3. Calculate z(-4).
11
Let n(t) = -2*t + 37. Determine n(13).
11
Let c(n) = n**3 + 4*n**2 - 2*n + 1. Determine c(-4).
9
Let n(y) = -2*y - 40. Determine n(0).
-40
Let c(v) = -v**3 + 10*v**2 - 9*v - 5. Determine c(9).
-5
Let r(i) = i**2 - 19*i - 11. Give r(19).
-11
Let q(r) = -r - 7. What is q(-12)?
5
Let r(q) = 3*q + 7. What is r(-4)?
-5
Let h(a) = 6*a**2 + 2*a + 1. Calculate h(-2).
21
Let j(d) = -d**3 - 20*d**2 + 26*d + 115. Give j(-21).
10
Let w(s) = -3*s**3 - s**2 + s + 2. What is w(-2)?
20
Let c(u) = u**3 + 7*u**2 - 10*u + 7. Give c(-8).
23
Let u(t) = -4*t**3 + t**2 + 25*t - 25. Calculate u(1).
-3
Let z(b) = -3*b**3 + 22*b**2 - 6*b - 7. What is z(7)?
0
Let w(a) = 9*a - 172. Determine w(19).
-1
Let n(v) = -v**2 + 61*v - 270. Give n(56).
10
Let p(y) = 9*y**2 - 2*y. Give p(1).
7
Let r(n) = -3*n + 34. Give r(9).
7
Let j(v) = v**2 - 2*v - 7. Give j(5).
8
Let | {
"pile_set_name": "DM Mathematics"
} |
ler: n or 1?
n
Let b(c) = c + 2. Let w be b(-8). Let o be (-2)/w*(-42)/(-1). Is o greater than 13?
True
Let j = -5 - -2. Is -5 less than j?
True
Let m = 0.6 - 0.1. Let y = -0.4 + m. Let i be ((-24)/(-63))/((-6)/(-9)). Is i != y?
True
Let i = -2 - -7. Let n = i - 9. Let m = 4 + n. Are 3 and m non-equal?
True
Let x = -7 + 3. Is -5 less than x?
True
Let w be 1/3 + (-70)/3. Let p = -15 - w. Let l be ((-5)/(-20))/(2/p). Is -1/4 greater than l?
False
Suppose -1 = 2*z - 5. Suppose 5*o - 28 = -4*s, 4*s - 5*o + 12 = -0*o. Suppose -2*w = -5*r + 5, 5*w - 4 = -2*r - s*r. Are r and z non-equal?
True
Let i = -3.2 - -2.7. Which is smaller: 0.04 or i?
i
Suppose 0 = c + 3*c + m - 16, 4*c + 2*m - 12 = 0. Suppose c*d - 1 = 4*d. Let o(g) = 8*g**3 - 2*g**2 + 1. Let z be o(d). Which is smaller: z or 6?
6
Let g(a) = a**3 - 3*a**2 - a + 4. Let f(j) = -j**2 - 11*j - 7. Let x be f(-10). Let s be g(x). Which is greater: s or 2/17?
s
Let s(f) = 3*f**2 - 4*f. Let r be s(2). Let k(a) = a**3 - 7*a**2 + 8*a - 9. Let p be k(6). Suppose 0 = -p*u + 8*u - 10. Which is smaller: u or r?
u
Let x(t) = 6 + 1 - 8*t + 2 + t**2. Let b be x(6). Suppose 4*h = -39 + 31. Is b <= h?
True
Let f be (10 - 3) + (1 - 0). Let x be (2/f)/(18/(-24)). Suppose -3*s + 4*s = 0. Is x smaller than s?
True
Suppose 15 = -6*c + 9*c. Suppose c*w = s + 1 + 1, -4*s - 5*w = -42. Let j = -10 + s. Is j bigger than 0?
False
Let v = -9 - -12. Suppose -4*p - 3 + 5 = v*o, o + 5*p - 8 = 0. Which is smaller: 0 or o?
o
Suppose -2*f = 4 - 10. Suppose -f*v = 12 + 3. Do -4 and v have the same value?
False
Let x be 1/3*(-48)/(-4). Suppose 4*k + 0*i = x*i + 12, -3*i - 3 = -k. Let u be k/5*4/6. Is 1 < u?
False
Let w = 5 + -2. Let f = w - 7. Which is bigger: -3 or f?
-3
Suppose 6*k - 9 = k + v, -5 = -5*v. Let a(f) = -f + 2. Let y be a(k). Is y less than or equal to 1?
True
Suppose 5*p - 5*q = 5, 0*p - p - q = -3. Let y = 28.8 - 29. Which is greater: y or p?
p
Let v = 2 - -1. Suppose -6*c + 2*c = -s + 8, -v*c = 2*s + 6. Suppose -7*m + 2*m + 5 = s. Which is greater: -2/9 or m?
m
Suppose -5 = -q + 4*t, 4*t = -2*q - 0*t - 2. Is q less than or equal to 4?
True
Suppose -2*t - 348 = t. Let c = t + 929/8. Which is greater: c or -1?
c
Suppose -10 = 5*p + 3*w, -2*w - 9 = 3*p - 3. Let i = 0.32 + -0.02. Is i < p?
False
Suppose 4*o - 8 = -0*o - z, 0 = 5*o - 3*z - 27. Let v be (-240)/(-39) + (-3)/o. Let q = v - 5. Which is smaller: 0 or q?
0
Let p = -231 - -2081/9. Let c(n) = -n**2 - 6*n - 5. Let d be c(-5). Is p bigger than d?
True
Suppose -2*u - 1 = 5*r - 0*r, 5 = r + 3*u. Let p = -0.2 - -0.21. Which is smaller: r or p?
r
Suppose 5*c = 2*a - 21, c - 2*c - 4*a = -9. Let r = 2 + c. Which is bigger: r or 1?
1
Let p = 3752/15 + -250. Which is bigger: p or -1?
p
Suppose -4*g + 20 = 0, -3*m + 5*g = g + 11. Suppose -4*d - m*o - 25 = 0, -3*d = -5*d - 5*o - 9. Which is bigger: d or -3?
-3
Let r = -45 + 41. Are -17/5 and r non-equal?
True
Let t = -1 + -3. Let o be (-2 + (-10)/t)*0. Let w = -5/4 + 3/2. Is o equal to w?
False
Let o = -115/42 - -18/7. Let b(u) = u**3 - 5*u**2 - u + 5. Let s be b(5). Which is bigger: s or o?
s
Let a = -0.67 + 0.7. Let n = a + 0.03. Let v = n - 0.06. Which is greater: v or 0.2?
0.2
Let s = -2 - -4. Let y = 2 + s. Suppose 4*x = 3*f + 19, 3*x + 12 = y*f + 7*x. Is -3/2 less than or equal to f?
True
Suppose u + 2*p + 0 + 3 = 0, -3*p = 2*u + 9. Let n = u - -34. Let w be (4/(-10))/(5/n). Which is smaller: w or -1?
w
Let t = 1 - 1.12. Let c = t - -0.02. Which is bigger: c or 1/3?
1/3
Let s be (2 + -2)/1 - -3. Suppose -5*t + 4*w = w - 9, -2*w - 6 = s*t. Is t greater than 1/5?
False
Let l = -28 - -29. Is -1 greater than l?
False
Let s = 1330.9 + -1412. Let c = -85 - s. Let h = 4 + c. Which is greater: -1/4 or h?
h
Let w(r) = r**2 - 5*r + 3. Suppose 0 = 3*q + 3*y, 3*q + 2*q - 2*y = 28. Let k be w(q). Let x be 2 + (-2)/((-8)/(-9)). Which is bigger: x or k?
x
Let p be ((-2)/3)/((-2)/9). Suppose -2*d - 1 = p. Suppose v - 5*n - 22 = 0, -v = 2*n - 5*n - 12. Which is smaller: d or v?
v
Let k = 1163/30 + -116/3. Let m be 2/6 - 16/12. Is k not equal to m?
True
Let c = 92 - 96. Let z(w) = w**2 - 1. Suppose 1 = -3*q + 4. Let r be z(q). Is r less than c?
False
Let m = -2 - -5. Let u = -6 + m. Let b(o) = -o**2 + 11*o - 14. Let y be b(10). Is u greater than y?
True
Suppose -4*u + 10 = 2*k, -2*u - u = -4*k + 9. Let a be -2 - 0 - u*-1. Let j = 1 + a. Is j greater than -2?
True
Let f(m) = 4 + 2 - 2 - 2 + m. Let a be f(-8). Are -7 and a non-equal?
True
Let h(k) = -k**3 - 8*k**2 + k - 6. Let q be h(-8). Which is bigger: -12 or q?
-12
Suppose -3 = 2*c - 9. Suppose -4*f = -f + c. Is f >= 2/23?
False
Let k = 2 + -3. Suppose 0 = -y - 4*y + 15. Let o be (12/9)/((-2)/y). Is k <= o?
False
Let y = -0.3 - -0.4. Which is smaller: 2/227 or y?
2/227
Suppose g = 5*g + 4. Let p be -1*((g - 2) + 2). Is p > 0?
True
Let n = 0.07 + -0.07. Let l = n - -0.1. Which is smaller: 0.2 or l?
l
Let b be 442/(-6) - (-3)/(-9). Let w = -299/4 - b. Which is smaller: w or -2?
-2
Let w = 953/7 + -137. Let y be (4/30*1)/((-3)/15). Which is greater: w or y?
y
Let f(s) = -s**3 + 4*s**2 - 10*s - 7. Let k be f(4). Is k less than -49?
False
Let n be (-2 - 1) + 10 + -1. Suppose -6*p - n = -4*p. Does -2 = p?
False
Suppose 5*r + 0*n = -5*n, 0 = 3*n. Is r at least as big as -6/13?
True
Let i be (-1 - -5)*(-3)/12. Which is greater: 0 or i?
0
Suppose 4*r + 3*z = -5, 0 = 5*r + z - 2*z + 11. Suppose -a = 5*x + 14 + 3, 3*a = x + 13. Suppose k = -a*l - 6, 3*k + 4 = 2*k - l. Which is greater: k or r?
r
Let t = 23 + -17. Suppose 0 = -t*b + b - 5*i, 10 = -5*i. Is 3 at least as big as b?
True
Let q = -669 - -3329/5. Do q and -2 have the same value?
False
Let p be (-4 + (-40)/(-12))/(2/(-159)). Which is greater: p or 54?
54
Let g be (-333)/18 - 1/2. Is -19 != g?
False
Let b = 4 + -4. Let s = b - -2. Suppose -4*f = -3*f. Which is smaller: s or f?
f
Let s(f) = -2*f + 5. Let z be s(3). Is -1 != z?
False
Let d = 0 - -1. Let h be (d/(-6))/((-14)/8). Which is smaller: 1 or h?
h
Let n = -38 - -15. Which is greater: -1/2 or n?
-1/2
Let f = -0.5 - -1.9. Let k = -3.4 - -4. Let q = f + k. Which is greater: q or -0.1?
q
Let n = 0.3 - 1.1. Let y = -133 + 134. Is n less than or equal to y?
True
Suppose 2*c = 22 + 8. Suppose 5*a - 20 = 9*a. Let d be ((-4)/c)/(a/15). Which is greater: d or 2?
2
Let c = -15.5 + -2.5. Let f = 19 + c. Is f at least 2/9?
True
Let v = 0.7 + 2.3. Let i = v - 0. Which is greater: -1 or i?
i
Suppose -6 = -o - 1. Suppose -x - 10 = -3*a, o*x + 15 - 4 = 2*a. Is -1 less than x?
False
Let f = -0.12 + 8.12. Let b = 8.03 - f. Which is bigger: b or 1?
1
Let b = 6 - 8. Let n = 74.9 - 80. Let a = 5 + n. Which is smaller: b or a?
b
Let i be 3 + (144/(-70) - 1). Is i not equal to -1?
True
Suppose 2*c - 5*c - 9 = 0. Let q = 7 + c. Do q and 5 have the same value?
False
Let j(u) = 120*u**3 - 2*u**2 - u. Let m be j(-1). Let b = m - -2301/19. Which is smaller: 0 or b?
0
Let j = -512/77 - -70/11. Let h be (18/(-12))/(-2 + (-9)/(-6)). Is j at least h?
False
Let x(b) = -b**3 + 8*b**2 + 10*b - 1. Let d be x(9). Let v = 8 - d. Which is smaller: v or -2/11?
-2/11
Let m be (-5)/(220/144) - (-6)/3. Which is smaller: m or -2?
-2
Let o be 110/6 + (-6)/(-9). Suppose -x = -76 + o. Let z be x/(-60) - 3/(-15). Which is smaller: z or -1?
-1
Let x be -2*3*2/2. Let s = x + 8. Suppose -5*w + s*w = 0. Which is smaller: w or -2/3?
-2/3
Let g = 121 + -128. Is g at least as big as -2/5?
False
Let l be (-3 + 2)/(7/805). Let k be l/300 - (-1)/3. Which is smaller: 1 or k?
k
Let d = -834/13 - -69274/1079. Which is smaller: 0 or d?
0
Let j = 66 - 65.1. Which is greater: j or -2?
j
Let a(p) = -p**2 + p - 4. Let n be a(-3). Let t be (n/(-12))/(4/6). Suppose t*l + l = -6. Is l >= -2?
True
Let p = -59.7 - -63. Let m = 0.3 - p. Let d = -15 - -15. Do d and m have the same value?
False
Let m be 16/(-12) - (-30)/9. Is m < 3?
True
Let y = 4.03 - 4. Let w = 0.3 - 1.1. Let m = w - -0.7. Is m at least y?
False
Let g(j) = -j**2 + j. Let p be g(0). Suppose p = -5*u + 2*r - 5*r + 13, -u = r - 3. Suppose 0*b + u*b = 0. Is b at most as big as 1/11?
True
Suppose 2*m = 5*m. Let q be (-4)/(-10) - (2 + -1). Is q less than m?
True
Suppose -7 = -0*w - 7*w. Which is bigger: 2/21 or w?
w
Let u be (1/(-1))/((-39)/(-26)). Let o = 4 - 8. Which is bigger: u | {
"pile_set_name": "DM Mathematics"
} |
= 0.0197 - -524.9803. Let c = -525.03426 + u. Let n = c + 0.034. Round n to 4 dps.
-0.0003
Let h = 62 - 62. Suppose h = 24*b - 21*b - 1668. Suppose -884 = -9*i + b. Round i to the nearest 10.
160
Let h = 0.2884 - 2810.2884. Let v = 2810.0001147 + h. Round v to 5 dps.
0.00011
Suppose m - 6*m = 4*b - 8, 2 = b - m. Suppose -5*y + 37 = -4*g, b*g - 3*y + 18 = g. Let s be ((-8)/g)/(-4)*-4635. What is s rounded to the nearest 100?
3100
Suppose -354655000 - 67273765 = -153*o + 314460235. Round o to the nearest ten thousand.
4810000
Suppose 3*m = m - 8, 0 = 4*w + 3*m - 1202928. Let o = 172335 - w. Round o to the nearest 10000.
-130000
Let y = 938 - 587. Let t = 350.98935 - y. Round t to 3 dps.
-0.011
Let u = 193.224 + -192. Let c = -0.79 + u. What is c rounded to one decimal place?
0.4
Let q = 3251.6134 + -3252. Let k = q + -2.2844. Round k to one decimal place.
-2.7
Let c = -1663527.75999775 - -1663528. Let d = 0.844 + -0.604. Let p = c - d. What is p rounded to seven dps?
0.0000023
Let q be 24/(-16)*((-25)/(-15) - -1) - 14757396. What is q rounded to the nearest one hundred thousand?
-14800000
Let m(o) be the third derivative of -3/8*o**4 + 11/60*o**5 + 0*o + 3*o**3 + 0 + 6*o**2. Let v be m(-9). What is v rounded to the nearest 100?
1000
Let q = -22540 - -13300. What is q rounded to the nearest 1000?
-9000
Let u = 276.757 + -277. What is u rounded to two decimal places?
-0.24
Let q = -10322 + 10521.98. What is q rounded to the nearest integer?
200
Let k = -550 + 552. Suppose 2*v = -2*d - 252, -k*v + 145 = -4*d - 353. What is d rounded to the nearest ten?
-130
Let s = 387 + -396. Let g = s + 8.9999978. What is g rounded to seven dps?
-0.0000022
Let y = 80171.6627 - 80179. Let j = -0.0473 - y. What is j rounded to the nearest integer?
7
Suppose 5*w + 4*p + 98206 + 13843 = 0, -5*p + 22375 = -w. Round w to the nearest 100.
-22400
Let k = -185.6 + 189.0382. What is k rounded to two dps?
3.44
Let c(r) = -r**2 - r + 1. Let x be c(-2). Let o be (2341 + -2 - x)/((-1)/(-20)). Suppose 0 = 7*q - 4*q + o. Round q to the nearest one thousand.
-16000
Let w = -122 + 54. Let b = w - -62. Let i = b + 5.9999868. Round i to six decimal places.
-0.000013
Let f = -17 + 21. Suppose -u - u + f*d = -545000, 272512 = u - 5*d. Suppose -727508 - u = -j. Round j to the nearest one million.
1000000
Suppose 0 = -c - 2 - 3. Let i be c*(867/(-5))/(9/12). Suppose -2*p - 4*g = i, 16 = -g - 3*g. What is p rounded to the nearest one thousand?
-1000
Let h = 7707 - 10364.7. Round h to the nearest 10.
-2660
Let y = -592 + 536.4. Let f = -48.4193 - 0.7707. Let c = y - f. What is c rounded to the nearest integer?
-6
Suppose 36*a - 422441932 = 723329250 - 309131182. Round a to the nearest 1000000.
23000000
Let b = 421707923 - 421707818.0000204. Let z = b + -105. Round z to six decimal places.
-0.00002
Suppose 13328946 = -2*m - 401856. Let b = m + 4873401. What is b rounded to the nearest 100000?
-2000000
Let d = -647.9 - -623. Let v = -24.89999766 - d. Round v to six dps.
0.000002
Let u = 305251559 + -48591559. What is u rounded to the nearest 1000000?
257000000
Let c = -88 + 96. Let o be (c/30)/(-2) + (-58)/15. Let l be 5/(-2) + 1102/o. Round l to the nearest 100.
-300
Let d = -664754.569 - -664423. Let z = d + 0.569. Let q = z - -331.000000549. What is q rounded to seven dps?
0.0000005
Let q = 99 + -106.789. Round q to 1 dp.
-7.8
Let j = 0.438395738 - 0.4384. What is j rounded to 7 dps?
-0.0000043
Let z be (1 - (-8)/4) + 14092/(-4). Let n be (z/(-6))/(23252/(-2325) - -10). Round n to the nearest 100000.
-700000
Let d = -17143 - -17143.000087441. Round d to 6 decimal places.
0.000087
Let s = 0.38 + -36.38. Let n = -61 - s. Let o = -25.00026 - n. Round o to 4 dps.
-0.0003
Let z = 22 - 20. Suppose z*b - 5*b + 1142751 = 0. Let k = b - 214917. Round k to the nearest 10000.
170000
Let f = -556.5 - -556.5000025919. Round f to 7 decimal places.
0.0000026
Let w = 643 - 219. Let t = 424.00642 - w. What is t rounded to three decimal places?
0.006
Suppose 4*t - 302324 = -2*c + 3049264, -5*c + t = -8379003. Round c to the nearest one hundred thousand.
1700000
Let d(b) = -2303*b - 4. Suppose 14*f + 2*c = 12*f + 8, 4*f + c = 10. Let j be d(f). Round j to the nearest 100.
-4600
Let k = 59393613.013 - 59362294. Let n = k - 31275. Let f = 44 - n. What is f rounded to 3 dps?
-0.013
Let b = 1.179 - 2.87. Let w = -0.041 - b. Let y = w - 4.23. Round y to 0 decimal places.
-3
Let d = 18 - 1. Suppose -46*l = -23000794 - 13799206. Suppose -16*s + d*s + l = 0. Round s to the nearest one hundred thousand.
-800000
Let s = 73 - 25.3. Let f = s - 37.15. Round f to the nearest integer.
11
Let r = 137 - 123. Let q = 40.5 - r. Let h = -26.5936 + q. Round h to two decimal places.
-0.09
Let g = -232.61 - -135.1. Round g to the nearest 100.
-100
Let b = 1.88 + -1.9525. Let k = 0.076 + b. What is k rounded to 3 dps?
0.004
Let o = 3898 + -3911.882. What is o rounded to 1 dp?
-13.9
Let f = -101659 - -372349. Round f to the nearest one thousand.
271000
Let z = -83975.953 - -83910. Let k = z + 66. Let f = -0.057 + k. What is f rounded to 2 dps?
-0.01
Let z = 0.2424167919 - 0.242406. What is z rounded to seven decimal places?
0.0000108
Let i = -19.22 + 19.2197482. Round i to 5 decimal places.
-0.00025
Let n = -3676.78 + 53.98. What is n rounded to the nearest one hundred?
-3600
Let c = -32745.39 + 32491. What is c rounded to the nearest 10?
-250
Let q = -9.746769 - -9.7918. Round q to 2 decimal places.
0.05
Let x(s) be the third derivative of s**6/40 + 13*s**5/60 + 5*s**4/12 + 11*s**2. Suppose -7*g - 21 = 49. Let u be x(g). What is u rounded to the nearest 1000?
-2000
Suppose 29853 + 179300 = 33*r + 16103. Round r to the nearest one hundred.
5900
Let u = -47 - 95. Let z = 142.097 + u. Let c = -0.054 + z. Round c to 2 decimal places.
0.04
Let w = -7287.862 - -7266. What is w rounded to zero dps?
-22
Let x = 256 - 1690. Let n = x + 724. What is n rounded to the nearest 1000?
-1000
Suppose -956070003 = -r + q, -1928*q = 3*r - 1930*q - 2868210006. What is r rounded to the nearest one million?
956000000
Let n = -71974 - -71973.9865411. Round n to four decimal places.
-0.0135
Let j = -172.07 - -171.64404. Round j to two decimal places.
-0.43
Let s = -3017.29881 + 3173.3. Let o = 1.79 + -157.79. Let z = o + s. What is z rounded to four dps?
0.0012
Let u = -0.1217 - -0.1217005693. What is u rounded to seven decimal places?
0.0000006
Suppose -2 = 37*h - 150. Suppose 0 = -2*g + g + 165. Suppose -4*s = -2*p + 114, -3*p + s + g = h. Round p to the nearest 10.
50
Let i = 54 - 54. Let b be 3 - (2 + 0 - i). Let m(n) = -309999*n**3 - n**2 + 2*n - 2. Let d be m(b). What is d rounded to the nearest one hundred thousand?
-300000
Let k = -1308.103 + 1309. Let a = k - -0.664. Round a to 1 decimal place.
1.6
Let x be 20/6*36/(-10). Suppose 0*q - 2498 = -5*q - 2*o, -3*o = 3. Let b be (-700 - -4)*q/x. Round b to the nearest 10000.
30000
Let w(z) = 2 + 10*z - 17*z**2 + 0*z + 18*z**2. Let l be w(-10). Let g be (-3)/(l - 4628/2320). Round g to the nearest 1000.
-1000
Let z = 6.0584477 - -578.9421383. Let x = -585 + z. Round x to four dps.
0.0006
Let r = -839 - -792.2. Let w = r - -45.412. What is w rounded to two dps?
-1.39
Let o = -4868 + 4868.74735. Let q = 0.78 - o. What is q rounded to 3 decimal places?
0.033
Let z = 10327.3 - 10327.30000050099. Round z to seven dps.
-0.0000005
Let o = 1475.99992493 + -1476. What is o rounded to five decimal places?
-0.00008
Suppose 10*v + 4*j - 5*j - 9570003 = 0, 0 = -v + 3*j + 957009. Round v to the nearest 100000.
1000000
Let h = 538219162740.700084 + -538218008087. Let w = 1154624.7 - h. Let s = -29 - w. Round s to 5 dps.
0.00008
Let s = -643 - -367. Let h = 275.99999962 + s. Round h to 6 dps.
0
Let m = -31.49 - -31.49001652. Round m to five dps.
0.00002
Let c(n) = 3*n - 1. Let h be c(1). Suppose h*v + 6 = -u + 1, 0 = -5*v - 4*u - 17. Let k be -933*(1 - -113611)/4 + v. Round k to the nearest 1000000.
-27000000
Let o(a) = -26002*a**2 + 560*a - 18. Let k be o(11). What is k rounded to the nearest 10000?
-3140000
Let f = -2259157549.99999172 + 2259157507. Let j = -43 - f. What is j rounded to 7 decimal places?
-0.0000083
Let z(c) = -4*c**3 + 19*c**2 - 4*c - 2. Suppose -2*h - 10 = 0, 44 = -4*b - 4*h - 0*h. Let l be | {
"pile_set_name": "DM Mathematics"
} |
-13*l - 6 for l.
-1
Let p be (8024/(-340))/(4/3*6/(-20)). Solve -p = 8*g - 27 for g.
-4
Let r be (1 - 3)/((-12)/18) - -4. Suppose -2*b + r = 11. Let o be b/(-1) - (-14)/2. Solve -4*h + o = -h for h.
3
Let r(u) = u**2 + 3*u - 65. Let w be r(-11). Suppose k = -3*k + 3*f + 25, 5*f + w = 4*k. Solve k = -t + 4 for t.
-3
Suppose -3*w - 21 = -4*v, -6*w = -2*w + 12. Suppose -4*l - 1 = 3. Let p be (-2)/(l - 5)*0/1. Solve x + 2*x - v = p for x.
1
Let v be 26 + 1/(6/8)*-3. Suppose 3*d - 2*d + 2 = 0, 2*q - v = 3*d. Suppose -3*r + 0*x = -x - 9, -q = -r + 2*x. Solve -4 = r*w + 2 for w.
-3
Let n = -20077 + 20077. Let d be (-1)/(-2) + 4/(-8). Solve n = -d*t - 9*t - 36 for t.
-4
Suppose -m - 4 = -2*m. Let z(l) = 4 - 3 + 0 - 13 + m*l. Let x be z(8). Solve -3*a + x = -7*a for a.
-5
Suppose 4*c = -2*g + 310, 5*c + 536 + 179 = 5*g. Let h be 2/7 - 1953/g. Let f(x) = x**2 + 11*x - 24. Let r be f(h). Solve 3 = -r*s + 9 for s.
3
Suppose 131*s - 3*p = 128*s + 393, -4*s = 2*p - 524. Suppose -4*x = -z + 147, -2*x = 2*z + 3*x - 229. Let k = s - z. Solve k*q = -12 + 4 for q.
-2
Suppose 0 = t + 4*z - 22, 8*t - 7 = 7*t - z. Suppose 0 = -5*w - t*p + 34, -w - 5*p + 8*p = 0. Solve 26*f - 20*f + w = 0 for f.
-1
Let z(w) = 213*w - 1051. Let a be z(5). Solve 7*y - a = -35 for y.
-3
Let m = -155898 + 155900. Let b = 10 - -3. Solve b*z - m*z = -33 for z.
-3
Let d = -490 - -489. Let b be ((-1)/(-2)*d)/(3/(-6)). Suppose -o = -3*o. Solve -m - b + 0 = o for m.
-1
Suppose -14*o + 12*o + h + 1202 = 0, h = 4*o - 2404. Let m = 617 - o. Solve m = x + 17 for x.
-1
Let k(l) = -l + 8. Let z be k(6). Suppose 9*y - 5*y + 13 = 3*c, 2*y = 4. Suppose 5*g - c*g = -z. Solve 0*x = x - g for x.
1
Suppose -d - 207 = -3*t + d, -2*d = -4*t + 276. Suppose 5*z = x + x + t, 33 = 2*z + x. Solve -10*o + 13*o = -z for o.
-5
Suppose 0 = -13*n + 14*n - 4. Suppose -8*k + 4*k + 20 = 0, 20 = 5*d - 4*k. Suppose -4*c = -d, n*l + 4*c - 55 = 13. Solve -4*z - l = z for z.
-3
Let z(y) = -3*y + 26. Let m be z(2). Solve 21*q - m*q + 1 = 0 for q.
-1
Let s be 59/(649/9636)*(-2 - 9/(-4)). Solve -s*r + 215*r = 0 for r.
0
Let f = 868 + -736. Solve 53*o + f = 20*o for o.
-4
Let c be ((-30)/2)/1*2/(-3) - 7. Let y(a) = a**2 + 3*a. Let u be y(-3). Suppose -5*z + 6*z - 6 = u. Solve 5*b = c*b + z for b.
3
Let g be (-4)/(-8)*-3 + (-11462)/(-44). Solve -5*m - g = -229 for m.
-6
Let x(b) = -5 - 2*b + 3*b - 2 + b**2 - 2*b. Let i be x(8). Let t be 17 + -1 + (i/(-7))/7. Solve 9*h - 4*h + t = 0 for h.
-3
Let j be 31/(-217) - (-50)/7. Let d(z) = -18*z - 404. Let w be d(-23). Solve o + j = w for o.
3
Let v be 78 + -2 + (10 - 0)*9/15. Solve -v*i + 32 = -74*i for i.
4
Let q(x) be the first derivative of -20*x + 4 - 1/2*x**2. Let r be q(-20). Solve r = -k - 6 + 2 for k.
-4
Suppose w - 127 = -11. Let b = 180 - w. Let c be (1 + (-7)/4)/((-16)/b). Solve -5 = -c*r - 17 for r.
-4
Suppose -2*s + 71 = -3. Suppose 0 = s*y - 41*y - j + 16, 0 = -4*j. Solve y*b - 11 - 1 = 0 for b.
3
Let x = -212 + 426. Let v = x - 209. Solve -l = v*l - 18 for l.
3
Let d be (-2*(-6)/(-9))/((-7)/21). Suppose 16 = -d*v + 28. Suppose v*g - 60 = -g. Solve -3*s = 2*s - g for s.
3
Suppose r - 118 = -2*h, -80 = -4*h + 4*r + 132. Let q = h + -52. Suppose -q*k = 3*y - 24, y = 3*y + 5*k - 21. Solve -b + y = -0*b for b.
3
Let i be ((-30)/135)/((-2)/18). Let z = 36 + -36. Suppose -5*f + 6*f - 2*h - 14 = 0, -3*f + 4*h + 48 = z. Solve -7*t = -i*t + f for t.
-4
Let h(l) = -l**3 + 29*l**2 + l + 2. Let j be h(29). Solve 25*p - 119 = j for p.
6
Suppose -5*z - 3*n + 1082 = 0, 0 = -5*z + n + n + 1087. Suppose 2*i + 3*i + z = 4*l, 0 = i - 3. Let k = l + -55. Solve 7*h = k*h - 20 for h.
-5
Let n be ((-119)/(-28))/(4/416). Let b = 442 - n. Solve b = -2*g + 5*g for g.
0
Suppose -2*s - 3*s = u + 16, u - 3*s - 16 = 0. Suppose -4*n + n = 4*k - 58, -2*n - 61 = -5*k. Suppose -16*h + k*h + 60 = 0. Solve u*i + 0*i + h = 0 for i.
-5
Let k = -1558 + 1574. Solve -28*q = 40 + k for q.
-2
Let b(r) = -2*r**2 + 94*r + 929. Let m be b(55). Solve 19*v - m*v + 180 = 0 for v.
6
Let l be (-1)/(-2) + (-30)/(-4). Let c(m) = -169*m**3 + 3*m - 2. Let r be c(-2). Let f = -1339 + r. Solve f*y - l = 12 for y.
4
Suppose 2124 = 914*t - 896*t. Solve 12 = -t*u + 116*u for u.
-6
Let m be 5 + ((-12)/24)/(1*(-2)/(-8)). Solve 16 = -m*y + 34 for y.
6
Let t be (-4 + -2)*95/(-10). Suppose t*y - 75*y = -342. Solve -15*i + y*i + 12 = 0 for i.
-3
Let z be 6/(-24) + 41/4. Let m be (-2)/(-7) - z/35. Suppose 2*w + 87 = 5*s + 52, -w - 25 = -4*s. Solve m = -s*c - 13 + 38 for c.
5
Let t(g) = -1699*g + 83. Let p be t(0). Solve -7*c = -p + 125 for c.
-6
Let l be 4/8 - 1*150/(-4). Solve 16*s - l = 42 for s.
5
Let y = 6375 - 6354. Solve -2*i = -y*i for i.
0
Let u(s) = -s**2 + 6*s + 3. Suppose 0 = -0*t + t - 20. Let g be t*(33/(-12) + 3). Let r be u(g). Solve -3*c + r + 4 = 0 for c.
4
Suppose 0 = -2*c - h + 18, -2*c + 141*h + 14 = 144*h. Solve 0 = -7*l + 5*l - c for l.
-5
Let w = -46 + 91. Suppose 0 = -w*g + 43*g. Let x(v) = v**3 - 2*v**2 + v + 4. Let y be x(g). Solve 3*z = -z + y for z.
1
Suppose 5*j + 40 = a, j - 122 = 2*a - 238. Solve -a*m + 228 = -22*m for m.
6
Suppose 61100*i - 61116*i = -112. Solve 19 = -i*t + 12 for t.
-1
Suppose 0 = -48*d + 212 + 124. Suppose -4*l + 23 = -h, 3*h - 16 = -d*l + 2*l. Solve x = -4 + l for x.
1
Let n = 11 + -9. Let y(v) = v**3 - 17*v**2 + 17*v + 7. Let h be y(16). Suppose -18*a + h*a - 40 = 0. Solve a = 2*d + n*d for d.
2
Let d(z) = 11*z**2 - 4*z + 3. Let a be d(3). Let y = a - 90. Suppose 3*u + 2*m = 70, 2*u + m - 5*m - 20 = y. Solve 3*f + 2*f = -u for f.
-4
Let t(k) = -4*k**2 + k + 543. Let r be t(0). Let w = 547 - r. Solve -5*o + 9*o = -w for o.
-1
Suppose 11*w - 16*w + 60 = 0. Let d be (-3)/1*(-24)/w. Solve -9*u = -6*u - d for u.
2
Let c(v) = v**3 - 6*v**2 - 5*v - 8. Let p be c(7). Let a be (-189)/(-48) - (-8)/128. Suppose -3*x - 2*x = 0. Solve -a*b + p*b + 6 = x for b.
-3
Let f(j) = -j + 11. Let h be f(10). Let n = h - -4. Suppose -302 + 342 = 10*t. Solve t*i - n = 3*i for i.
5
Suppose -52*m + 47*m + 20 = 0. Suppose 4*h = -0*g + g + 55, m*g = 3*h - 25. Solve -z + h = 4*z for z.
3
Let y(j) = j**2 + 9*j + 3. Let w(h) = h**2 + 10*h + 2. Let q(g) = 2*w(g) - 3*y(g). Let r be q(-3). Let f = 2 - 2. Solve f = 3*u - 5 - r for u.
4
Let o(h) = -2*h - 34. Let c be o(-21). Solve 357*s = 365*s - c for s.
1
Suppose 8 = -4*m + 2*m. Let r(v) = -v**3 - 6*v**2 - 7*v + 9. Let y be r(m). Solve -3 - 12 = -y*x for x.
3
Suppose 2*k - v - 175 + 42 = 0, 260 = 4*k + 4*v. Let c = -39 + k. Let f = -24 + c. Solve p + 20 = -f*p for p.
-5
Let j be (-1 + 0)*43 - (-50)/25. Let u = -30 - j. Suppose 7*w = u*w. Solve 2*c - c - 3 = w for c.
3
Let m(h) = 34*h**2 + 4*h + 10. Let w be m(3). Let y = w - 314. Solve -10*x = -y*x - 8 for x.
-2
Suppose -18*p - 1348 = 4826. Let m = p - -346. Solve 2*f - m*f + 5 = 0 for f.
5
Let q(n) = -n**2 + 5*n - 17. Let d(o) = 3*o**2 - 11*o + 33. Let b(z) = -3*d(z) - 7*q(z). Let i be b(0). Let t = i + -18. Solve -t*a + 0*a = -10 for a.
5
Suppose -52 = -4*v - 4*y, -3*v - 7*y + 24 = -9*y. Solve -v*t + 5 = -5*t for t.
1
Suppose 5*t - 35 = 0, -137*t + 54 = u - 136*t. Solve -u*h + 318 = -105 for h.
9
Let n = 339 + -488. Let s = n + 155. Solve -s*q + 5*q = -5 for q.
5
Suppose 86*n = 27*n + 1534. Let i be 4/6*(0 - 24). Let u = i + n. Solve 0 = -2*p + 7*p + u for p.
-2
Suppose -r + 23 - 7 = 0. Let y(i) = 7 + 2*i**2 - 5*i - 28 + r. Let q be y(-1). Solve q*o = -o + 12 for o.
4
Let r be (40/6)/((-287)/21 - -14). Solve r*d = 14 - 34 for d.
-1
Let s(w) be the third derivative of w**4/12 + 43*w**3/6 + 220*w**2. Let f be s(-14). Solve -14*x + 13 + f = 0 for x.
2
Let n(z) = -z**3 + 18*z**2 - 28*z - 53. Let w be n(16). Let h be (0 + -1)*(7 - w). Solve 4*l = 6*l - h for l.
2
Let p be ((-1426)/155)/((-2)/(-50)). Let i be (p/15)/((-2)/(-6)). Let b = 48 + i. Solve b*f - 6*f = 4 for f.
-1
Suppose 2*b = 7*j - 2*j - 587, -5*j = 3*b + 893. Let l = b - -313. Solve l*x = 15*x for x.
0
Let b(i) = -i**2 + 3*i + 28. Let x be b(7). Let m be 24/10*(-10)/(-4). Solve -6*c + 3*c + m = x for c.
2
Let m be (7/(-175)*0)/(-20). Let u(l) = l**3 + 4*l**2 - l - 5. Let q be u(-4). Let b = q + 4. Solve b*w + 10 - 4 = m for w.
-2
Let i be -2 + 3 - (0 + 9). Let o(w) be the third derivative of w**5/60 + 5*w**4/12 + 8*w**3/3 - 2*w**2 + 1621*w. Let a be o(i). | {
"pile_set_name": "DM Mathematics"
} |
ose s = -3*c - i, 3*i + 2*i + 26 = c. What are the prime factors of 115 - ((-6)/3 - c*-4)?
113
Suppose -4*i + 815 + 3604 = r, -3*i = -2*r + 8882. What are the prime factors of r?
5, 887
Suppose 0 = -3*d + 179 + 79. Suppose y - 254 = d. Suppose m - y = -m. What are the prime factors of m?
2, 5, 17
Let d be (52 - 1)*(-2 - -3). Suppose -6*i = -9*i + d. Suppose -7*w = -i - 4. What are the prime factors of w?
3
Let v = -383 + 511. Suppose 0 = -127*y + v*y - 549. List the prime factors of y.
3, 61
Let b be (19 + (-3 - 1))*(2 + -1). Suppose 0 = j - b + 3. What are the prime factors of j/(-24) + 86/4?
3, 7
Let t be ((4 - 12) + -173)/(-1). Suppose 3854 = 5*c - t. List the prime factors of c.
3, 269
Let y be 23 - (-4)/(-3)*21/14. Let h(t) = -2*t**3 + 46*t**2 - 49*t + 16. What are the prime factors of h(y)?
751
Let a be -2 - -1 - (-30)/10. Let p(g) = 2 + 1 - a*g + 36*g**3 - 24*g**2 - 37*g**3. What are the prime factors of p(-24)?
3, 17
Let d be (2/5)/(10/50). Suppose 0 = 10*y - d*y - 24. List the prime factors of y/(-4) - (-163)/4.
2, 5
Let u = 763 + -759. List the prime factors of ((-444)/(-18) - -3)/(u/156).
13, 83
Let i(m) = 63 - 231*m + 1 + 0 - 20 - 16. What are the prime factors of i(-4)?
2, 7, 17
Suppose 0 = -3*w + 28 - 16. Let j(b) = 3*b**3 - 8*b**2 - 6*b + 14. What are the prime factors of j(w)?
2, 3
Suppose -3*i - 3644 = -7*i. Let f = i + -422. List the prime factors of f.
3, 163
Let q be (-8 + 7)/(2/20). Let k(m) = -m**2 - 24*m - 11. Let b be k(q). Let i = -62 + b. List the prime factors of i.
67
Let u = -230 - -240. Suppose -905 = -u*o + 5*o. What are the prime factors of o?
181
Let r(q) = 626*q**2 - 44*q + 90. List the prime factors of r(11).
2, 9419
Let d = -22 + 34. Suppose 0 = 12*n - 7*n - 75. Let c = n + d. List the prime factors of c.
3
Let c(i) = i**3 - 2*i**2 - 9*i - 17. Let n be c(5). Suppose -n*b + 6676 = -9*b. List the prime factors of b.
1669
Let h(c) = 9*c**2 + 6*c - 41. Let u be h(8). Suppose -3942 = -u*w + 577*w. List the prime factors of w.
3, 73
Suppose t - 35076 = -4*n, -5*n - 147*t + 146*t + 43844 = 0. List the prime factors of n.
2, 137
Let p = 135 + -139. List the prime factors of 490 + (-4 - (-6 - p)).
2, 61
Let f be (-44)/(7 - 3)*-39. Suppose 0 = -2*a + 4*m + 5 + f, 462 = 2*a + 3*m. What are the prime factors of a?
3, 5
Let d(v) = 978*v - 3177. What are the prime factors of d(8)?
3, 1549
Let u(n) = 81*n**2 - 36*n + 11. What are the prime factors of u(-14)?
37, 443
Suppose 2*g - 22 = 14. Suppose -g = -5*d + 2, 2*d + 5842 = 5*v. What are the prime factors of v?
2, 3, 5, 13
List the prime factors of (26 - (-35 + 28))/((-1)/(-173)).
3, 11, 173
Let a = 106610 - 42417. List the prime factors of a.
23, 2791
Let q(w) = w**2 - 6*w - 38. Let o be q(10). Let d be (-6)/(3 - o - 4). List the prime factors of 6/d + 179 + -4.
2, 89
Suppose 3*n - 2*m = -82, 5*m + 7 = -n + 8. List the prime factors of 8/n*6 + 131.
3, 43
Let n be (-4)/(2 - -6)*-4. Suppose -n*o + f + 7 = -1, 3*o - 3*f = 9. Suppose v + 247 = o*v + t, t = -5. List the prime factors of v.
3, 7
Let h(z) = 18*z - 1. Let u be h(2). Suppose -126*v = 90*v - 23828 - 4252. Let k = v + u. What are the prime factors of k?
3, 5, 11
Suppose 13*a - 24*a + 32252 = 0. Suppose 13*w - 10*w = 15, 2*f + 2*w - a = 0. What are the prime factors of f?
3, 487
Let h = 76 - 70. Suppose -4*s + h*s = 8. Suppose -2*j = -3*y - 175, -s*j - 2*y + 335 = -3*y. What are the prime factors of j?
83
Suppose -4*z = -2*v + 12596, 17609 = 4*v - 4*z - 7603. List the prime factors of v.
2, 19, 83
Suppose -4*v - b + 5*b = -19076, b = 0. Let s = -3374 + v. What are the prime factors of s?
3, 5, 31
Let p(i) = 255*i**2 - 81*i + 233. What are the prime factors of p(10)?
24923
Suppose 3*x + 2*c - 26 = -16, 0 = 4*x - 5*c + 2. Suppose x*w = -5*i - 0*w + 9095, -3*i + 5*w = -5426. What are the prime factors of i?
23, 79
Let h be (-3)/(-8) + (-3)/24*3. Suppose h = -7*z + 1211 - 203. List the prime factors of z.
2, 3
Let i = 7577 + 25946. What are the prime factors of i?
7, 4789
Suppose 138360 = -410*h + 413*h - u, -46120 = -h + 2*u. What are the prime factors of h?
2, 5, 1153
Suppose 4*h = 2*s + 4152 - 9964, 0 = s + 2*h - 2910. List the prime factors of s.
2, 727
Suppose -v + 290 = 86. Suppose -2*j + 2*u = -26 - v, -j + 111 = -2*u. List the prime factors of j.
7, 17
Suppose 0 = 2*v + 3*p - 24, -3*v + 2*v - 14 = -5*p. Suppose -2054 = -2*i + 2*x, 5*i - 2*x + 1021 = v*i. What are the prime factors of i?
5, 41
Let k = 989 + 1027. Suppose -6*z + k = 6*z. List the prime factors of z.
2, 3, 7
Let c(h) be the third derivative of 5*h**4/4 + 6*h**3 - 2*h**2 - 29. List the prime factors of c(9).
2, 3, 17
Let d(p) = -p + 27. Let b be d(22). Suppose -18*g + b*g + 1170 = 0. List the prime factors of g.
2, 3, 5
Let k(f) be the first derivative of 3 + 4*f + 29*f + 4 - 12*f**2 - 2. What are the prime factors of k(-4)?
3, 43
Let x be 0*(1 + 0 + 0). Suppose -15*j + 4 + 26 = x. Suppose -4*o + b = -j*b - 602, b - 154 = -o. List the prime factors of o.
2, 19
Let x be 8/48*4 + (-1138)/6. Let j = 262 + x. What are the prime factors of j?
73
Let o = 11 + -81. Let l = o + 344. Suppose -l = -4*x + m, -3*m + 55 = x - 7. What are the prime factors of x?
2, 17
Suppose -3*o + 2*b = -3, 2*o + 2*b - 6*b + 6 = 0. Suppose 0*r - r + 357 = 4*y, y - 86 = o*r. What are the prime factors of y?
89
Let k be 1/((-7)/(-1645))*-1. Let b = 255 - -103. Let g = b + k. List the prime factors of g.
3, 41
Let m(z) = z**3 + 8*z**2 + 16*z + 5. Let a be m(-5). What are the prime factors of 43722/112 - (3/8 - a)?
2, 3, 5, 13
Let m(j) = 10*j + 20 + 18 - 38. Let d be m(5). Suppose -y = d - 218. What are the prime factors of y?
2, 3, 7
Suppose -4 = 5*t + 11, -z = 3*t - 16799. List the prime factors of z.
2, 11, 191
Suppose 5*l = 5*q + 75, -3*l + 8 = 3*q - 31. Suppose 28*v + l*v = 56532. List the prime factors of v.
2, 673
Let n = 14568 + -4088. List the prime factors of n.
2, 5, 131
Let j(y) = -y**3 - 4*y**2 - 4*y - 3. Let u be j(-4). Suppose u*c - 3369 + 1016 = 0. Let z = c - 56. What are the prime factors of z?
5
Let h be (-560)/30*((-210)/4)/5. What are the prime factors of 36*(h/16 + -2)?
3, 41
Suppose -4*d - 29541 = -2*q + 1393, 23207 = -3*d - 5*q. List the prime factors of 3*(-1)/(9/d*2).
1289
Let f = -2222 - -2226. Let p(w) be the second derivative of w**4/4 + w**3 - 4*w**2 + w. What are the prime factors of p(f)?
2
Suppose 5*q = 4*o - 518, -4*q + 375 = 3*o + 2. Suppose 129*f - o*f = 2162. What are the prime factors of f?
23, 47
Let l be 315 - (-1 - (-12)/(-4)). Suppose g + 4*t - l = -46, 5*t = -15. List the prime factors of g.
3, 5, 19
Suppose 3070*c + 3301658 = 3129*c + 592201. List the prime factors of c.
19, 2417
Suppose 272 = 20*f + 12. Suppose -f*k = -9121 + 2010. List the prime factors of k.
547
Let m = -30262 - -52452. List the prime factors of m.
2, 5, 7, 317
Suppose -3*x + 12*x = 36. Suppose 5 + 9 = 5*w - x*t, 3*t = 2*w. Suppose 0 = w*l - 507 - 87. What are the prime factors of l?
3, 11
Suppose 54*b + 32*b = 434472. List the prime factors of b.
2, 3, 421
Let c(o) = -19*o + 41*o**2 + 54 - 23*o**2 - 17*o**2. Let i be c(22). Let f = i - 60. What are the prime factors of f?
2, 3, 5
Suppose -3*x - 10360 = 9*q - 10*q, 2*q + 4*x - 20680 = 0. List the prime factors of q.
2, 13, 199
Suppose 6*m - 143 = 5*m. Suppose -2*b = 5*k - 228 - 12, 3*k - m = -b. Suppose 0 = k*h - 51*h + 780. What are the prime factors of h?
2, 3, 13
Let m = 1338 + 319. Suppose 0 = -6*s + s - r + m, 2*s - 5*r - 652 = 0. List the prime factors of s.
331
List the prime factors of 1/(15 - 1073852/71591).
5507
Suppose 90676 = 2*k - 3*x, 59172 = 4*k + 4*x - 122100. List the prime factors of k.
2, 131, 173
Suppose 2017 = -3*b + u, 0 = -3*b + 9*u - 6*u - 2025. Let d = -378 - b. List the prime factors of d.
293
Let c(r) be the second derivative of -3*r**5/20 + r**4/4 - r**3/6 + 7*r**2/2 + 11*r. Let m be c(-5). Suppose 21*s - 15*s - m = 0. List the prime factors of s.
7, 11
Let h(b) = -12*b + 26. Let q be h(2). Suppose 2*k = -5*d + 4*k + 1385, -q*k + 1405 = 5*d. What are the prime factors of d?
3, 31
Let i(z) = 2*z - 7. Let g(k) = k**3 - 11*k**2 - 17*k + 31. Let t be g(12). Let o = -17 - t. What are the prime factors of i(o)?
17
Suppose -16316 + 44407 = 11*d - 95813. List the prime factors of d.
2, 11
Let k | {
"pile_set_name": "DM Mathematics"
} |
45
Let m(p) = p**2 - 266*p + 12060. Calculate m(208).
-4
Let t(r) = r**3 + 10*r**2 - 16*r - 54. Calculate t(-9).
171
Let k(d) = -6*d**2 + 96*d - 836. Determine k(9).
-458
Let j(w) = 8*w**2 + 99*w + 245. What is j(-8)?
-35
Let a(u) = u**2 - 84*u + 113. Determine a(7).
-426
Let m(t) = -7115*t + 42685. Determine m(6).
-5
Let d(z) = z**2 - 2*z - 9. Calculate d(-2).
-1
Let p(s) = s**3 + 116*s**2 - 82*s + 3843. Determine p(-117).
-252
Let y(u) = -70*u + 1943. What is y(17)?
753
Let u(z) = z**2 + z - 19. What is u(4)?
1
Let g(q) = -22*q + 916. Calculate g(42).
-8
Let f(p) = -121*p - 475. Give f(-4).
9
Let b(p) = 3*p**3 + 65*p**2 + 17*p - 457. Give b(-21).
68
Let l(y) = 3565*y - 7145. Calculate l(2).
-15
Let i(c) = -2*c**2 - 674*c - 12083. Give i(-19).
1
Let r(q) = -17*q - 94. Give r(14).
-332
Let d(v) = -3*v**2 + 201*v - 750. Give d(63).
6
Let w(v) = 49*v + 590. Calculate w(-12).
2
Let d(f) = -26*f - 650. Determine d(-15).
-260
Let v(j) = 17*j**2 - 513*j + 87. Give v(30).
-3
Let f(h) = h**3 - 21*h**2 + 33*h + 382. Calculate f(18).
4
Let r(v) = -v**3 + 8*v**2 - 22*v + 25. Give r(6).
-35
Let c(u) = -u**3 + 123*u**2 + 422*u - 5540. Determine c(126).
4
Let f(o) = o**3 - 10*o**2 - o - 155. Determine f(0).
-155
Let a(s) = -226*s + 3712. Calculate a(18).
-356
Let n(d) = 7*d**2 - 53*d - 251. Calculate n(-3).
-29
Let p(y) = 4*y + 86. Determine p(-12).
38
Let j(k) = 355*k + 14556. Determine j(-41).
1
Let j(m) = -m**3 + 8*m - 22. Calculate j(3).
-25
Let j(o) = -o**3 - 12*o**2 + 12*o - 28. Give j(3).
-127
Let g(b) = 11565*b - 57810. Determine g(5).
15
Let q(l) = -l**3 + 30*l**2 - 77*l - 87. What is q(27)?
21
Let k(i) = -i**3 + 34*i**2 - 26*i - 304. Determine k(33).
-73
Let j(q) = -8*q**3 + 453*q**2 + 172*q - 49. What is j(57)?
8
Let n(s) = 27*s + 1168. Calculate n(-44).
-20
Let v(g) = 20*g - 390. What is v(20)?
10
Let i(a) = a**3 - 23*a**2 + 78*a + 11. What is i(4)?
19
Let o(i) = -959*i + 4. Calculate o(0).
4
Let u(o) = -o + 145. Determine u(25).
120
Let n(v) = -v**3 + 25*v**2 + 56*v - 72. Determine n(27).
-18
Let y(z) = z**2 + 7*z + 22. What is y(-16)?
166
Let s(u) = -u**2 + 153*u - 3386. Give s(126).
16
Let p(n) = -3*n**3 + 141*n**2 - 5*n + 210. Determine p(47).
-25
Let j(r) = -r + 96. Calculate j(88).
8
Let g(f) = -f**2 - 119*f - 784. Determine g(-7).
0
Let i(h) = h**3 - 55*h**2 + 205*h - 57. Determine i(51).
-6
Let d(k) = -k**3 - 70*k**2 + 136*k - 570. Give d(-72).
6
Let t(p) = -1558*p + 42068. What is t(27)?
2
Let w(l) = l**3 + 17*l**2 - 73*l - 148. Determine w(-20).
112
Let t(o) = o**3 + 7*o**2 + 18*o + 83. What is t(-7)?
-43
Let y(o) = 3*o**2 - 41*o - 9. Calculate y(5).
-139
Let q(c) = -3*c**3 + 14*c**2 + 15*c - 85. Determine q(6).
-139
Let x(h) = 3*h - 190. Calculate x(-17).
-241
Let t(g) = 8*g - 73. Determine t(6).
-25
Let u(c) = 206*c - 643. Give u(3).
-25
Let o(x) = -x**3 - 20*x**2 + 27*x + 45. What is o(-21)?
-81
Let q(c) = 6*c**2 + 137*c - 81. Determine q(-22).
-191
Let p(x) = -3*x**3 - 127*x**2 + 820*x + 190. Determine p(-48).
-2
Let l(b) = 58*b - 756. Determine l(18).
288
Let z(g) = -g**3 - 29*g**2 + 301*g + 174. Give z(-37).
-11
Let j(n) = -18*n + 467. Calculate j(25).
17
Let f(x) = 6*x**3 - 2*x - 2. What is f(3)?
154
Let t(v) = -6*v**2 + 34. Calculate t(-4).
-62
Let l(j) = 642*j + 7582. What is l(-12)?
-122
Let j(v) = -v**3 - 19*v**2 + 16*v + 559. What is j(-19)?
255
Let z(f) = 2*f**3 + 19*f**2 - 41*f + 245. Give z(-12).
17
Let w(k) = 83*k + 7730. Determine w(-93).
11
Let i(h) = 3*h**2 + 125*h - 5377. Give i(-68).
-5
Let c(l) = 3*l**3 + 144*l**2 + 862*l + 17. Give c(-41).
-24
Let r(o) = 296*o - 9788. Give r(33).
-20
Let j(b) = b**2 + 36*b + 69. Calculate j(-32).
-59
Let o(k) = -k**3 + 12*k**2 + 28*k + 123. Give o(14).
123
Let w(a) = -7*a**2 - 24*a - 13. Determine w(-6).
-121
Let w(a) = -80*a + 555. Determine w(7).
-5
Let a(i) = i**3 + 4*i**2 + 8*i + 41. Determine a(-7).
-162
Let r(k) = 4*k**2 + 37*k - 38. Give r(1).
3
Let p(o) = -11*o**3 - 3*o**2 - 9. Calculate p(-4).
647
Let m(w) = -10*w**2 - 131*w - 163. Determine m(-11).
68
Let v(b) = 107*b - 4674. Calculate v(44).
34
Let c(y) = -160*y**2 - 17*y + 16. What is c(1)?
-161
Let g(n) = -21*n + 1121. Calculate g(51).
50
Let p(w) = 729*w - 21. Determine p(0).
-21
Let h(c) = 85*c + 3563. Give h(-42).
-7
Let r(j) = 10*j + 124. What is r(-19)?
-66
Let x(d) = -9*d + 136. Give x(19).
-35
Let m(r) = 5*r + 2. Calculate m(-4).
-18
Let k(v) = -14*v + 92. What is k(6)?
8
Let v(n) = 120*n - 79. Determine v(1).
41
Let c(l) = -l**3 + 17*l**2 - 15*l - 230. Determine c(15).
-5
Let p(t) = -2*t**3 + 8*t**2 + 16*t - 56. What is p(5)?
-26
Let p(c) = 52*c - 613. Calculate p(14).
115
Let w(u) = -u**2 + 18*u - 84. Determine w(12).
-12
Let v(m) = -4*m**2 + 121*m + 1015. Give v(37).
16
Let a(t) = 444*t - 1333. Give a(3).
-1
Let r(k) = -3*k**3 + 2*k**2 + 2*k - 1. Give r(-2).
27
Let x(d) = -36*d**2 - 121*d + 121. Give x(1).
-36
Let h(j) = j**2 - 19*j - 1893. Calculate h(54).
-3
Let t(i) = i**3 - 21*i**2 + 49*i + 121. Calculate t(21).
1150
Let c(n) = 21*n**2 + 569*n + 30. Calculate c(-27).
-24
Let g(c) = -507*c**2 - 15211*c - 18. Determine g(-30).
12
Let h(v) = 7792*v + 38999. What is h(-5)?
39
Let t(f) = f**3 + 48*f**2 - 122*f - 1111. Calculate t(-50).
-11
Let s(a) = 2*a**3 + 58*a**2 + 360*a + 7. Calculate s(-9).
7
Let c(o) = o**3 + 18*o**2 - 10*o + 46. Determine c(-18).
226
Let h(b) = b**3 + 2*b**2 + 6. Give h(5).
181
Let o(v) = 232*v - 1825. Give o(7).
-201
Let u(q) = -2*q**3 + 8*q**2 + 7*q + 14. Determine u(-3).
119
Let t(k) = 35*k + 5. What is t(-3)?
-100
Let v(o) = -o**3 - 10*o**2 - 9*o + 12. Determine v(-7).
-72
Let u(g) = 23*g - 52. Calculate u(-1).
-75
Let r(y) = y**3 - 17*y**2 - 101*y + 1044. What is r(19)?
-153
Let d(y) = y**3 + 15*y**2 - 34*y - 46. Give d(-17).
-46
Let b(s) = -87*s + 24. Determine b(-2).
198
Let k(o) = 2950*o - 47182. What is k(16)?
18
Let z(i) = 2*i**2 + 607*i - 3691. Give z(6).
23
Let z(a) = -6*a**2 - 316*a + 998. Determine z(3).
-4
Let a(c) = -197*c**2 - 3. What is a(1)?
-200
Let m(j) = 7*j**2 - 4*j - 14. Calculate m(-2).
22
Let x(m) = 7*m**3 + 4*m**2 - 9*m + 11. Give x(2).
65
Let w(q) = q**3 - 23*q**2 + 92*q - 29. Give w(18).
7
Let t(f) = f**3 + 8*f**2 - 5*f - 87. What is t(-6)?
15
Let h(i) = 5379*i - 37667. Determine h(7).
-14
Let v(f) = -102*f - 919. Calculate v(-9).
-1
Let z(j) = -193*j + 3504. Determine z(18).
30
Let m(y) = 2*y**2 + 99*y + 154. What is m(-41)?
-543
Let r(j) = 21*j - 89. Give r(7).
58
Let a(t) = 2*t**3 + 15*t**2 - 35*t - 301. Determine a(-7).
-7
Let y(z) = -3*z**2 + 142*z + 4760. Calculate y(70).
0
Let x(v) = -v**3 - 39*v**2 - 228*v - 140. Calculate x(-32).
-12
Let o(g) = 161*g - 551. What is o(3)?
-68
Let q(t) = 237*t - 3326. Give q(14).
-8
Let v(q) = q**2 + 110*q - 3381. Determine v(25).
-6
Let h(q) = -q**2 + 21*q - 28. Determine h(19).
10
Let p(l) = -l**3 + 25*l**2 - l - 20. Determine p(25).
-45
Let a(u) = -2*u**2 + 396*u - 6152. Determine a(181).
2
Let k(s) = -s**3 - 13*s**2 - 35*s - 11. Determine k(-6).
-53
Let i(j) = -j**2 - 81*j + 351. What is i(4)?
11
Let u(s) = -13*s**3 - 3*s**2 + 9*s + 10. Give u(4).
-834
Let y(n) = -2*n**3 - 5*n**2 + 157*n + 680. Determine y(-6).
-10
Let o(r) = -11*r + 6. Calculate o(-2).
28
Let r(f) = -85*f + 1961. What is r(23)?
6
Let m(s) = s**2 + 9*s + 28. Give m(-5).
8
Let o(g) = -3*g**3 + 97*g**2 - 471*g - 22. Determine o(6).
-4
Let p(t) = -t**2 + 17*t - 59. What is p(12)?
1
Let t(v) = -v**3 - 6*v**2 + 20*v - 37. Determine t(6).
-349
Let c(k) = -44*k + 397. Give c(6).
133
Let p(h) = 5*h**2 + 129*h + 399. What is p(-3)?
57
Let r(w) = -21*w**2 + 5398*w - 220. Determine r(257).
37
Let v(w) = -4*w**3 + 29*w**2 + 32*w - 63. Give v(8).
1
Let l(p) = 21*p**3 + 274*p**2 - p + 28. Determine l(-13).
210
Let w(y) = -6*y**3 - 349*y**2 - 58*y - 2. Determine w(-58).
-2
Let l(j) = 2*j**2 - 106*j - 1699. Determine l(64).
-291
Let j(d) = d**2 + 15*d + 35. What is j(-6)?
-19
Let f(d) = -2*d**3 - 64*d**2 - 93*d - 2978. Calculate f(-32).
-2
Let b(c) = 3*c**3 - 40*c**2 - 5*c - 324. Give b(14).
-2
Let x(g) = 7*g - 154. Give x(15).
-49
Let g(o) = o**2 - 52*o - 49. Calculate g(53).
4
Let f(w) = -8*w**2 - 147*w + 258. Determine f(-20).
-2
Let a(r) = r**3 - 26*r**2 + 129*r + 30. What is a(7)?
2
Let k(u) = 2*u**3 - 59*u**2 - 82*u - 342. Calculate k(31).
-1
Let x( | {
"pile_set_name": "DM Mathematics"
} |
2. Let m be s(-3). What are the prime factors of (-24)/m + 4/(-2)?
2
Let n = -74 - -15. Let k = -36 - n. What are the prime factors of k?
23
Suppose 3*z - 18 = 138. What are the prime factors of z?
2, 13
Let d be (-4)/(4/3) - -19. Suppose -3*g - 3 = -w - d, 0 = 4*g - 3*w - 24. List the prime factors of g.
3
Suppose -1 = 2*r + 1. Let s be (0 - -1)*r - -2. Suppose -1 = j - u, 2*u - 9 = s. List the prime factors of j.
2
Let a(p) = -p**3 + 17*p**2 - 14*p + 17. What are the prime factors of a(16)?
7
Let l = -93 - -54. Let x = -17 - l. List the prime factors of x.
2, 11
Let a(v) = 4 - 2*v + 0 + v - 2. Let m be a(2). Suppose -3*r + 18 + 40 = o, m = -r + 5*o + 14. What are the prime factors of r?
19
Let f = 85 - 61. Let l = f + -17. List the prime factors of l.
7
Suppose 0 = -5*j - 1 + 31. Let y be (-1)/j + 3/18. List the prime factors of ((-10)/(y + -2))/1.
5
Let m(r) = -5*r + 23. Let g(f) = 2*f - 11. Let q(v) = 9*g(v) + 4*m(v). Let j be q(-6). Suppose 40 + 0 = j*s. What are the prime factors of s?
2
Let q = -6 + 4. Let s(n) = 26*n**2 + 20*n - 1. Let y(u) = -5*u**2 - 4*u. Let p(g) = -2*s(g) - 11*y(g). List the prime factors of p(q).
2, 3
List the prime factors of (-7)/21 - 1190/(-6).
2, 3, 11
Let q = 5 + 3. Suppose q - 38 = -2*g. What are the prime factors of g?
3, 5
Let j = -10 + 14. Suppose -160 = -j*z - 20. What are the prime factors of z?
5, 7
Suppose b + 2*b = 42. List the prime factors of b.
2, 7
Let c(f) be the second derivative of -11*f**3/6 + f**2 + 4*f. Let b be c(-5). Suppose n - b = -2*n. What are the prime factors of n?
19
Suppose f - 2*f = -3*i + 8, 2*f - 5*i = -14. What are the prime factors of (-1)/(f/(-8))*-2?
2
Let t(l) = 3*l - 4*l + 5*l. Let j be (-286)/(-110) - 2/(-5). List the prime factors of t(j).
2, 3
Suppose -2*s = -s + 5. Let t = 30 + s. List the prime factors of t.
5
Suppose -h - 2*h + 54 = 0. What are the prime factors of h?
2, 3
Let k(i) = -i + 5. Let z be k(3). Let v be (-5)/((z - 0)/(-2)). Suppose 14 = v*a - 26. List the prime factors of a.
2
Suppose 5*b = 3*b + 170. List the prime factors of b.
5, 17
Let f = -9 - -14. Suppose 4*a = -f*b - 50, 50 = -2*b - 3*b + a. List the prime factors of 4/10*b/(-2).
2
Let n(j) = j**3 - 3*j**2 + j + 3. Let b be n(3). Let a be (-4)/(3/(3/(-2))). Let z = b - a. What are the prime factors of z?
2
List the prime factors of 0 + -1 - (-12 + -3).
2, 7
Let h = 6 + -18. Let y = h - -23. What are the prime factors of y?
11
Suppose 14*h + 500 = 19*h. What are the prime factors of h?
2, 5
Let b(f) be the first derivative of 1 + 9/2*f**2 + 0*f. List the prime factors of b(1).
3
Suppose -g = -5*j + 6, 3*j - 33 = -2*g - 2*j. Let x = g - 9. Suppose 68 = 4*t - 5*i, -i = -x*i + 4. List the prime factors of t.
2, 3
Suppose 2*y + v - 2*v - 32 = 0, 5*v = 2*y - 40. Suppose 6*i = i + y. Suppose 0 = p + 3, 24 = 4*c - i*p - 13. What are the prime factors of c?
7
Let s = -43 - -36. Let j = -5 - -2. Let m = j - s. What are the prime factors of m?
2
Suppose 4*x + 9 = 57. What are the prime factors of (x/10)/((-4)/(-20))?
2, 3
Suppose 0 = 2*h - 4*x - 40, -5*x - 1 = -h + 2*h. Let y = h - -4. What are the prime factors of y?
2, 3
Let o = 564 + -368. What are the prime factors of o?
2, 7
Let d = 53 - 7. What are the prime factors of d?
2, 23
Suppose 2*q = -4*d + 542, 4*q - 539 = 2*q - d. List the prime factors of q.
269
Let q(x) = 8 - 3*x + 4*x - 1 - 4. Suppose 0 = 2*b - 8 - 0. What are the prime factors of q(b)?
7
Suppose -4*t = -2*t - u + 3, 0 = -5*t - 2*u - 3. Let l = t - -1. Suppose -3*n - 12 + 45 = l. List the prime factors of n.
11
Let w be 4*(-2 - (-14)/8). Let o(x) = x - 1. Let h(m) = 3*m + 6. Let f(i) = -h(i) - 5*o(i). List the prime factors of f(w).
7
Let k = 58 + -33. Suppose 2*w - k + 9 = 0. Suppose -2*x + x - 2*h = -w, 5*x - 3*h = 14. What are the prime factors of x?
2
Let u = 201 - 121. Suppose 197 = 5*y - 4*v, 3*v = 4*y + u - 237. What are the prime factors of y?
37
Let q(k) = 97*k**2 + 3*k**3 + 0*k**3 + 9 - 2*k**3 - 89*k**2 + 8*k. What are the prime factors of q(-5)?
2, 11
Let c = 4 - -7. What are the prime factors of c?
11
Let p be (1 + 0)*2 - 0. Let l be (-54)/(-8) - p/(-8). Suppose 33 = 2*b + l. What are the prime factors of b?
13
Let c = -2 + 4. Suppose c*r = -r + 9. List the prime factors of r.
3
Let c = -113 + 159. List the prime factors of c.
2, 23
Let s be -2 + 35/(2 + -1). Let c = s + 4. Suppose c = 3*p - 2*g, -2*g - 28 = -2*p + g. What are the prime factors of p?
11
Suppose 2*y = -0 + 4. Suppose 0 = -k + 3*m - 12, -4*m = -5*k - 3 - y. Suppose h - 10 = 2*p, -5*p + p - 22 = -k*h. What are the prime factors of h?
2
Let n = 4 + -5. Let u be (2 - 43)*n + -2. Suppose 2*d = 4*v - 36, 4*d = 5*v + 3*d - u. What are the prime factors of v?
7
Let r = 54 + -28. List the prime factors of r.
2, 13
Suppose -1 = -4*o + 19. Suppose -o*s + 28 = 5*n - 102, 0 = 3*n - 4*s - 85. List the prime factors of n.
3
Let i(t) = 5*t**2 - 2*t - 3. Let m be i(-2). Let s(j) = -7*j - 1. Let f be s(-2). Let d = m - f. List the prime factors of d.
2
Let g(c) = 2*c**2 + 14*c. Let b be g(-7). Let j(t) = 3*t + 6 - 1 - 2*t. What are the prime factors of j(b)?
5
Let i(w) = -1 + 4*w - 2*w - 6. List the prime factors of i(7).
7
Let i(k) = -7*k - 12. Let u be i(-6). Let c be ((-4)/(-1))/(5/(-270)). What are the prime factors of (-10)/3*c/u?
2, 3
Let i = 66 + -24. List the prime factors of i.
2, 3, 7
Let n = 48 - 28. What are the prime factors of n?
2, 5
Suppose 399 = t + 73. List the prime factors of t.
2, 163
Suppose 0 = 4*d - 4*v - 4, -2*d + 0 = 5*v - 2. Let t be d - (0 - -1 - 2). Suppose -t*u = 1 - 21. What are the prime factors of u?
2, 5
Let h = -10 + 12. Suppose 5*y - 49 = -h*r, 0 = 4*r + 2*y - 44 - 46. What are the prime factors of r?
2, 11
Let s(k) = 1 + 3*k + k - k. What are the prime factors of s(3)?
2, 5
Suppose -4*v + 3*v = 0. Suppose -5*k + 0*k + 75 = v. List the prime factors of k.
3, 5
Let y(x) = 9*x**3 - 2*x**2 - x + 6. What are the prime factors of y(2)?
2, 17
Suppose 543 = 13*v - 10*v - b, -3*b = 5*v - 891. List the prime factors of v.
2, 3, 5
Suppose -2*p = p. Let a = 18 + p. List the prime factors of a.
2, 3
Suppose 2*d - 3*j - 30 = 0, -2*d + 2*j = -6*d + 92. List the prime factors of d.
3, 7
Let k(z) be the second derivative of z**2 + 0 + 0*z**4 - z + 1/2*z**3 - 1/20*z**5. List the prime factors of k(-2).
2
Suppose -2*u - 37 = 2*u + 5*l, -2*u = -4*l - 14. Let z be 0*1/(1 + u). Suppose 4*o - 5*s - 59 = z, -5*o = -o - 2*s - 62. List the prime factors of o.
2
Suppose 11 = u - 70. Let w = u + -49. What are the prime factors of w?
2
Let s(m) = -7*m**2 + 13*m - 13. Let b(n) = -3*n**2 + 6*n - 6. Let z(c) = -5*b(c) + 2*s(c). Let x = 14 - 8. What are the prime factors of z(x)?
2
Suppose 37 = 3*f - 11. Suppose 2*p = -0*p + f. List the prime factors of p.
2
What are the prime factors of (645/(-12))/(3/(-12))?
5, 43
Suppose -5*y - 103 = -w + 102, -4*y - w = 173. Let n be (4/6)/((-4)/y). Suppose -3*c = -n + 1. What are the prime factors of c?
2
Suppose -3*w + 230 = d, 4*d - 182 = -2*w - 12. List the prime factors of w.
3, 5
Suppose -5*a = -43 - 87. List the prime factors of a.
2, 13
Let a(h) = h**3 - 9*h**2 + h - 7. Let z be a(9). Suppose -z*k - 2*s = -24, 8*k - 3*k = s + 36. List the prime factors of k.
2
Suppose a - 1 + 4 = 0. Let v = a + 4. List the prime factors of (1/(-2))/(v/(-10)).
5
Let x = -8 - -23. Suppose -3*r + 0*u = 3*u - 9, 3*u = -x. What are the prime factors of r?
2
Let i = -26 - -9. Let o = 25 + i. List the prime factors of o.
2
Let m(b) = -2*b + 16. Let i be m(-12). Let a = 58 - i. What are the prime factors of a?
2, 3
Suppose 3*s + 4*p + 865 = 8*s, -s + 3*p = -173. List the prime factors of s.
173
Suppose 0 = -p + t + 162, 2*t + 798 = 5*p - 0*t. List the prime factors of p.
2, 79
Suppose 0 - 12 = -3*n. Suppose 0*m = n*m - 96. What are the prime factors of (-58)/(-8) - 6/m?
7
Let w = 140 + -83. Suppose 5 = k + q - 4, -2*q = 5*k - w. What are the prime factors of k?
13
Let v = -51 - -284. List the prime factors of v.
233
Let f(z) = -7*z - z**3 - 3*z**2 - 2 - 3*z**2 - 1. What are the prime factors of f(-5)?
7
Let z(b) = -7*b + b**2 + 14*b + 3 - 4*b. What are the prime factors of z(-5)?
13
Let b be 1*(5 + -1) + -8. What are the prime factors of (-102)/b + 1/(-2)?
5
Suppose -3*b = 3*x - 84, -4*x = b + x - 20 | {
"pile_set_name": "DM Mathematics"
} |
ighest common divisor of j and 1133.
11
Suppose -53 - 137 = -5*a. Suppose 2*f - 182 = 46. What is the highest common factor of f and a?
38
Let s = 197 + -178. Calculate the highest common factor of 133 and s.
19
Let d = -439 - -709. What is the greatest common factor of 180 and d?
90
Let g be 2*10*6/15. Let d(l) = 2*l**2 - 16*l + 16. Let v = 38 + -28. Let y be d(v). Calculate the greatest common factor of g and y.
8
Suppose -20*c = -15*c - 180. Calculate the highest common divisor of 60 and c.
12
Let g = 204 - 201. Let a(k) = 10*k**2 + 10*k - 21. Let j be a(g). Let v be -33*(1 - 2)*1. Calculate the highest common factor of v and j.
33
Let a(t) = t**2 - 6*t + 14. Let h be a(10). Let y(q) = q**3 - 3*q**2 + 3*q - 1. Let b be y(4). Calculate the highest common factor of b and h.
27
Suppose 2*d - 178 = 56. Let q(m) = 13*m - 286. Let w be q(23). What is the highest common divisor of d and w?
13
Suppose 36*d - 1008 = 20*d. Suppose a + 4*q - 13 = 16, 5 = q. What is the highest common factor of a and d?
9
Suppose 226 = 3*g - 11. Suppose -2*u = -5*j - 39 + 8, -g = -3*u + j. Calculate the highest common factor of u and 70.
14
Suppose 61 = c - 26. Suppose 0 = y + 3*z - 22, 4*y - 5*z = c + 1. Let d = -28 + 39. What is the greatest common divisor of y and d?
11
Suppose -2*t = -4*t. Suppose -2*d + 3*p = -22, 4*p = -3*d - t*p + 33. Suppose -93 = -a + 28. What is the highest common divisor of a and d?
11
Suppose -3*w - 51 = -3*y, y = w + 4*y + 1. Let r be (-3 - 0/(-2))*w. Suppose -x - 3*c = -13, 65 = 4*x + x - c. Calculate the highest common divisor of r and x.
13
Let w be ((1 + -1)/3)/(-1). Let s(x) = x + 21. Let t be s(w). Let v = t + -10. What is the highest common factor of 121 and v?
11
Suppose -5*t = k - 162, 124 = 5*t + 3*k - 42. Calculate the greatest common divisor of t and 1632.
32
Let h be 2*(1 + (-1396)/(-4)). Suppose -2*s - 3*s = -h. Let m be 15*(1 - 3/(-9)). Calculate the greatest common factor of m and s.
20
Let v be -3 - (5088/4)/(-4). What is the highest common divisor of v and 18?
9
Let i(h) = 538*h - 90. Let x be i(1). Calculate the greatest common divisor of 28 and x.
28
Suppose i - 10 = 188. Suppose -q - 3*r - 3 = 0, 4*q = -2*r - 2*r - 4. Suppose -4*b + 56 + 16 = q. Calculate the highest common divisor of b and i.
18
Suppose -88 + 8 = -5*r - 3*c, -2*r - 4*c + 32 = 0. What is the highest common factor of r and 296?
8
Let m(g) = -g**3 + 3*g**2 + 8*g - 4. Let j(w) = w**3 + 2*w**2 - 2*w + 7. Let o be j(-3). Let t be m(o). What is the highest common divisor of t and 84?
12
Let c be (18/(-8)*-18)/(3/18). Suppose 3*r - 3*f = c, -5*r - 2*f = -r - 342. What is the greatest common divisor of 12 and r?
12
Let c = 1321 + -1271. Let t = -23 + 43. Calculate the highest common factor of t and c.
10
Suppose -17*w = -0*w - 476. Calculate the highest common divisor of 49 and w.
7
Let t(y) = -4*y - 4. Let i be t(-4). Suppose -3*f + 5*u - 531 = -870, -3*u - 117 = -f. Calculate the greatest common factor of i and f.
12
Let i be 4/(5 + 0 + -4). Let t be ((-3)/5)/(3/(-15)). What is the greatest common divisor of i and t?
1
Let h be 1/4*0 + -2. Let k be h - 1/((-3)/6). Suppose k*d + 2*d + 9 = x, 27 = 3*x - 4*d. What is the greatest common divisor of x and 45?
9
Let k = 100 + -59. Calculate the highest common divisor of k and 533.
41
Let v be 36/(4 - 5) - -1*4. Let w = v - -57. Let r be (-2)/(-6) - 74/(-3). Calculate the highest common factor of r and w.
25
Suppose -5*p + 182 = 2*j, -6*j + 10*j - 3*p - 364 = 0. What is the greatest common factor of 26 and j?
13
Suppose 5*a - 636 = -4*s, -4*a + 502 = 4*s - 130. Calculate the greatest common factor of s and 22.
22
Suppose p - 5*r = -3*p + 95, 0 = 3*r + 9. Suppose 3*x - 2*x = 5. Suppose 20 = x*f - 780. What is the greatest common factor of p and f?
20
Suppose 0 = 13*g - 9*g - 112. What is the greatest common factor of 518 and g?
14
Let h(g) = -4*g - 4. Let k be h(-2). Suppose 0*i + 96 = k*i. What is the highest common factor of i and 16?
8
Let a = 33 + -33. Let m be (2/(-8))/((-3)/12 + a). Calculate the highest common factor of 7 and m.
1
Let m(t) = 49*t**2 + 2. Let p be m(-2). Let n be 32/((-4)/1) + 3. Let c be 15/n + (2 - -19). Calculate the highest common divisor of c and p.
18
Suppose -114 + 273 = c. What is the greatest common divisor of 106 and c?
53
Suppose 275 = 4*b - 5*x, 6*b - 5*x - 50 = 5*b. Let c be ((-45)/(-6))/(1/4). Calculate the greatest common factor of b and c.
15
Suppose 3*g - 3246 = -0*g. Let z be g/5 - 4/10. Let a(c) = 35*c - 186. Let k be a(6). What is the greatest common factor of k and z?
24
Let n(h) be the third derivative of -h**4/12 + h**3/2 - 25*h**2. Let a be n(-8). What is the highest common factor of 171 and a?
19
Suppose 5*j = 584 + 1001. Suppose -m - 55 + j = 0. Suppose t = -4*t + p + 323, 2*p + m = 4*t. Calculate the greatest common factor of 8 and t.
8
Suppose 7*t - 610 - 167 = 0. Calculate the highest common divisor of t and 148.
37
Let v(r) = 81*r**3 + r**2 - 2. Let g be v(1). Calculate the highest common divisor of g and 2000.
80
Let t(o) = 5*o + 2. Let h = 22 - 21. Let b be t(h). Let f = -63 - -98. Calculate the highest common divisor of f and b.
7
Suppose 0 = 81*l - 79*l - 56. Calculate the highest common divisor of 1890 and l.
14
Let y(c) = -28*c - 303. Let p be y(-11). Calculate the highest common divisor of p and 40.
5
Let q be (-1)/3*(-9 - 0). Suppose -x + q - 1 = 0. Suppose -7*l = -x*l - 45. What is the greatest common divisor of l and 45?
9
Suppose 8*d + 17*d - 300 = 0. Calculate the highest common factor of 147 and d.
3
Let d = -1211 - -1463. What is the highest common divisor of d and 28?
28
Suppose 112 = 2*q - 0*q. Suppose -4*b - 4*x + q = -b, -58 = -3*b - 5*x. Let w = -20 + 28. Calculate the highest common divisor of w and b.
8
Suppose -180 = r - 5*r - 4*b, -5*r - 4*b = -228. Calculate the highest common divisor of 160 and r.
16
Let p be 4*((-4)/16)/(1/(-2)). Let q(w) = 97*w - 12. Let f be q(p). What is the highest common factor of 14 and f?
14
Let s be 20/(-15)*3/(-2). Suppose -s*i + 2 = -2. Let m(y) = 3*y + 2. Let o be m(1). Calculate the greatest common divisor of i and o.
1
Let x(m) = -m + m**2 + 2*m - 3*m + 12*m**3 + 1. Suppose 0 = -2*p - 4*a + 6, -p - 3*a = -3*p - 1. Let w be x(p). What is the highest common factor of w and 24?
12
Let c be (-3)/2*138/9. Let p = c + 61. Suppose -p = r - 90. Calculate the greatest common factor of r and 78.
26
Suppose 0 = w + 5*f - 207, -18*f = -20*f + 10. Calculate the greatest common factor of 6 and w.
2
Suppose 5*s - 6*s = -3. Suppose -m + 2*u = -4*m + 171, -101 = -2*m + s*u. What is the greatest common factor of 22 and m?
11
Suppose -9 + 34 = 5*l. Suppose l*b + 61 = 161. Let n = -233 - -333. Calculate the greatest common factor of n and b.
20
Let o(x) = x**2 + x + 3. Let a be o(4). Let q be (-2 + 4)*2/4 + a. Suppose 0*y = 5*y - 120. What is the highest common divisor of q and y?
24
Suppose 5*l - 10*l = 0. Suppose i - 5*f - 31 = 0, 5*f + l*f = -25. Calculate the highest common divisor of i and 3.
3
Let u be 2/15*63*(-650)/(-10). Calculate the greatest common factor of u and 78.
78
Suppose -24*o + 26*o = 8. Let b be (-58)/o*(-8 + -2) - 1. What is the greatest common factor of 16 and b?
16
Suppose 5*a - 4*u = 370, 5*u - 4*u = -5. What is the highest common factor of a and 1?
1
Let t = 32 - 12. Suppose 84 = 5*c + 3*y + y, 96 = 4*c - 4*y. What is the greatest common divisor of t and c?
20
Let b(z) = z**2 + 2*z - 11. Let q = 27 + -18. Let j be b(q). Calculate the greatest common divisor of 22 and j.
22
Suppose 30*r - 2 = 32*r. Let f = 9 - r. What is the highest common factor of 40 and f?
10
Let v(h) = -26*h**2 + 594*h + 22. Let d be v(22). What is the greatest common divisor of 46 and d?
46
Let g(j) = -15*j + 6. Let k be g(-5). Suppose 0 = -0*p - 9*p + k. Calculate the greatest common divisor of 18 and p.
9
Suppose 2*u + 3*u = -335. Let n = -29 - u. Calculate the highest common divisor of n and 19.
19
Suppose 14*k = -11*k + 875. What is the greatest common factor of 1120 and k?
35
Suppose 117*h + 606 = 119*h. What is the greatest common factor of h and 3?
3
Suppose -33 - 3 = -5*r + 4*f, -4*r + f = -31. Suppose -3*i + 4 = -r. What is the greatest common factor of i and 36?
4
Suppose 9 - 24 = -3*x. Suppose 4*i + 7 = 2*i + x*q, 4* | {
"pile_set_name": "DM Mathematics"
} |
4*n**2. Let s be j(-8). Let a(m) = m**3 + 3*m**2 - 5*m - 5. Let f be a(s). Sort 0, -2, f.
-2, f, 0
Let u(j) = j**3 + j - 1. Let q(x) = -6*x**3 - x**2 - 6*x + 1. Let v(i) = q(i) + 5*u(i). Let b be v(0). Let g be 1*-4*(-4)/b. Put g, 5, -3 in ascending order.
g, -3, 5
Let y(z) = -z**3 + 3*z**2 - z + 7. Let c be y(3). Let b be (-8)/12 + 24/9. Let n = 8 + 9. Put n, c, b in descending order.
n, c, b
Let b = -140 - -144. Put -4, 5, b, 32 in increasing order.
-4, b, 5, 32
Suppose -2*n = r + 1, -2*n + 19 = -r + 6. Let o be -7 + 2 - -3 - r. Suppose -7 = 5*j - 2*q, -2*j + j + o*q + 17 = 0. Sort 0, j, 4 in decreasing order.
4, 0, j
Suppose 24*q - 115 = q. Put q, 69, -3 in decreasing order.
69, q, -3
Let c(d) = -d**3 - 9*d**2 - 16*d - 15. Let v be c(-7). Put 0, v, -5 in increasing order.
-5, v, 0
Let f(b) = 2*b**2 - 3*b - 41. Let v be f(-4). Put v, -2, -266 in descending order.
v, -2, -266
Suppose 5*a + 13 = 3*c, c + 14 = -4*a + 2*a. Let o = 187.5 - 182.5. Sort o, -6, a in descending order.
o, a, -6
Let j(w) = w + 4. Let g be j(0). Suppose g*u - 2*u - 8 = 0. Let h(p) = -11*p + 144. Let d be h(13). Sort u, -4, d.
-4, d, u
Let y(x) = -8*x - 203. Let g be y(-25). Sort 0, g, 2 in increasing order.
g, 0, 2
Let q = 755/4 + -189. Sort q, 0, 7 in increasing order.
q, 0, 7
Let q(d) = -d**2 + 2. Suppose -5*n + 2 = -4*n. Let r be q(n). Suppose -12*x + 111 = 63. Sort r, x, 5 in decreasing order.
5, x, r
Let m = 31.3 - -7.7. Let x = 39.2 - m. Sort -0.4, 4/11, x in decreasing order.
4/11, x, -0.4
Suppose -2*h + m = -2*m + 19, -m + 5 = 0. Let f be h/(-3) + (-15)/9. Let n = 185/17 + -11. Sort 0.2, f, n.
f, n, 0.2
Let q = 0.344 - 0.284. Put -2/13, 1/4, -1, q in increasing order.
-1, -2/13, q, 1/4
Let m(t) = -t - 2. Let g be 6/9 - (-7)/3. Let p be m(g). Let i be -4 - (15 + -3)/(-3). Sort -3, p, i.
p, -3, i
Let n = 20 + -20.52. Let w = -6 + 6.12. Let y = n + w. Sort y, 4, -0.1 in decreasing order.
4, -0.1, y
Suppose x + 3*c = 32 + 3, 4*x - 90 = -2*c. Let t be -3 + 0 + (-1 - -2). Sort t, 1, x.
t, 1, x
Suppose 12*p = 6*p + 12. Suppose p*k + 46 = 3*w + w, 4*k + 77 = 3*w. Put -1, -5, k in increasing order.
k, -5, -1
Let s be -5 - (-1 + (-2)/(-2)). Let q = 0.102 - 0.402. Sort -0.07, s, q, -3/7 in ascending order.
s, -3/7, q, -0.07
Suppose 5*c = 51 - 66. Sort c, -1, 19 in decreasing order.
19, -1, c
Let g = -28 - -28.1. Sort -2, 0.5, -0.4, g.
-2, -0.4, g, 0.5
Let n be 2*(-28)/12*2/7. Put n, 0.4, 34.3 in increasing order.
n, 0.4, 34.3
Let w = 0.0887 + -40.9687. Let v = w - -40. Let r = -0.9 - v. Sort -2/9, r, -0.5 in descending order.
r, -2/9, -0.5
Suppose 0 = -22*j + j + 63. Let t be ((-4)/16)/((-9)/8). Sort t, j, 5.
t, j, 5
Let h = 0 - -0.04. Let t = h + -2.04. Let c = 5 + t. Put -2, c, 0.1 in decreasing order.
c, 0.1, -2
Let k(x) = 2*x**2 + 28*x + 24. Let t be k(-13). Put t, -4, 4 in descending order.
4, t, -4
Let p be (-25 - -34) + (1 - 12). Sort -27, p, -8.
-27, -8, p
Let v = 32.4 - 30.99. Let h = v + -1.43. Sort h, -5, 5, 0.1 in decreasing order.
5, 0.1, h, -5
Let b = -8.6 + 22. Let a = b + -12.9. Sort a, 1/5, -3/4, -4/3 in increasing order.
-4/3, -3/4, 1/5, a
Let d = 4.9 + -0.9. Suppose -7*h = -48*h - 82. Sort h, d, -3, -4/9.
-3, h, -4/9, d
Let b(f) = -4*f - 239. Let q be b(-60). Sort 3, -1, q, -5 in increasing order.
-5, -1, q, 3
Let u = -3 + 1. Let o = -10789 + 10788. Sort o, 1, 20, u.
u, o, 1, 20
Let p = 328 + -323. Put 4, p, 3, -3/2 in ascending order.
-3/2, 3, 4, p
Let t = -12 - -12. Suppose t = 5*w - 24 + 34. Suppose -7*q + 3*q = -20. Put w, q, -5 in descending order.
q, w, -5
Let c(z) = z**3 + 4*z**2 + 5. Let s be c(-4). Suppose -3*v + 5*v - 2*m = 26, 4*v + m - 77 = 0. Let b be (6/v)/((-3)/45). Sort 2, s, b in decreasing order.
s, 2, b
Let o = -22 - 22. Let u = o - -48. Sort u, -2, 0 in decreasing order.
u, 0, -2
Let r be 15/(-10) - 9/(-2). Sort -7, r, -3, 4 in descending order.
4, r, -3, -7
Let w(o) = 2*o - 4. Let t be w(3). Let i be 7/t + 6/(-12). Suppose 20 = -i*s - s. Sort s, 1, 5 in ascending order.
s, 1, 5
Let g(i) = i**3 + 5*i**2 + 6*i - 3. Let j be g(-3). Let y(v) = 3 - 3*v**2 + 2*v**2 + 2*v**2 + 5*v. Let n be y(-4). Sort j, n, 3 in increasing order.
j, n, 3
Suppose -39*l - 14 = -14. Suppose k = -o - o - 11, -4*o - 20 = 0. Sort k, l, 2.
k, l, 2
Let i = 1119 - 1121. Sort -8, -12, i in increasing order.
-12, -8, i
Let v be 19 - 25 - (0 - 11). Suppose 5*p + 36 = 2*p + b, 0 = -3*p - 2*b - 36. Sort v, p, -5, 4 in decreasing order.
v, 4, -5, p
Let k = 28 + -23. Suppose 18*g - r = 13*g - 39, -g - 2*r + 1 = 0. Sort k, -4, g.
g, -4, k
Suppose -5*f - 8 + 2 = -4*o, -2*o - 6 = 2*f. Put 4, o, -5, 26 in increasing order.
-5, o, 4, 26
Suppose -201*f = -174*f. Sort f, 4, 5, 2 in increasing order.
f, 2, 4, 5
Suppose 10 = -2*j - 0. Let k(l) = -l**3 - l**2 + 5*l + 1. Let a be k(-3). Suppose 5*b - 5 = 5*y, 14 = 2*b + a*y - 2*y. Sort b, j, 2.
j, 2, b
Let i = -1983 + 1984. Put i, -0.5, -6, 5 in increasing order.
-6, -0.5, i, 5
Let x(a) be the first derivative of -a**3/3 + 12*a**2 + 24*a - 17. Let h be x(25). Sort 0, -2, h, 4.
-2, h, 0, 4
Let u be 6/(-70) + 5*4/(-100). Put -7, 2/7, 6, u in decreasing order.
6, 2/7, u, -7
Let h be 6/(-15) + (-2)/(-5). Suppose h = 2*f + 5*d - 15, 5*d - 1 + 6 = 0. Suppose 2*z + f = -3*r, -5*r - 1 = -2*z + 5. Sort 4, r, -5 in decreasing order.
4, r, -5
Let d(p) = p**2 - 25*p - 355. Let x be d(35). Sort x, 4, 7 in descending order.
7, 4, x
Let z be 1/((-10)/(-8)) + -1. Let w = 6.691 + -1.691. Sort -1, -4, z, w in increasing order.
-4, -1, z, w
Let m = -2.608 - 0.392. Sort m, 15, 2/11 in descending order.
15, 2/11, m
Let b be (-9)/(297/(-176))*78/8. Sort 0, -1, b in increasing order.
-1, 0, b
Let r = 1.3 - 1.3. Let v = -232 - -230. Put r, -1/7, v, 2/3 in increasing order.
v, -1/7, r, 2/3
Let j = -2.79 - -2.99. Sort 4, -16/7, 0.5, j in decreasing order.
4, 0.5, j, -16/7
Let r be 189/243 - (0 + 0 + 1). Put 0, 2/11, r, -1 in descending order.
2/11, 0, r, -1
Let r = 1725 + -1724.6. Sort r, 4, -2.96.
-2.96, r, 4
Let l = -61.8 - -62. Let d = -1.99 - 0.01. Let x = -2.2 - d. Sort 2, l, x.
x, l, 2
Let l be (-30)/(-165) - (-14)/44. Let u = -3.8 + 4. Let n = u + -0.3. Sort 0.3, l, n.
n, 0.3, l
Let a = -1309 - -1310. Let p = 9 + -6. Put -2, p, a in decreasing order.
p, a, -2
Let c = -1/23 + -16/161. Let a = -1.7 + 0.9. Put a, 2, c in decreasing order.
2, c, a
Let s(f) = 28*f**2 - 253*f + 11. Let o be s(9). Put -17, 1, o in ascending order.
-17, 1, o
Let n = -33.14 + -38.81. Let r = 72 + n. Put 4/9, 0.3, r in descending order.
4/9, 0.3, r
Let o = -117 + 71. Let j = o - -49. Sort 1, 8, j.
1, j, 8
Let a = -267 + 264. Sort -1/2, 3, 5, a in descending order.
5, 3, -1/2, a
Let t = -576 + 576. Sort -3, t, 5, 13.
-3, t, 5, 13
Let w(j) = j**2 + 8*j - 10. Let o be w(-9). Suppose 11*l - 7*l + 8 = 0. Put l, 5, o in ascending order.
l, o, 5
Let b(u) = -u + 3. Let i be b(-5). Suppose -3*n + 1 = -i. Suppose -n*f = 6, 1 = 2*j - 4*f - 3. Put j, 1, 4 in descending order.
4, 1, j
Let g = -3.428 + -0.572. Sort 6, g, 0.03.
g, 0.03, 6
Suppose t = 3*t + 4. Let u = -55.8 - -56. Put u, t, 0.1 in descending order.
u, 0.1, t
Let p be (8/((-32)/(-12)))/(1/(-5)). Put p, -2, -1 in increasing order.
p, -2, -1
Let m = -243 + 163. Let i = m - -89. Put 5/4, -2, i in descending order.
i, 5/4, -2
Let a = -0.8 + 1.12. Let d = a + -0.42. Let t = 0.05 - 0.45. Put d, t, -1 in descending order.
d, t, -1
Let r = 7.4 + -7. Let n be (-3 + 1)/((-2)/(-11)). Let q = -542 - -538. Sort q, n, r.
n, q, r
Suppose -572 = 3*j + 4*p, 4*j - 5*p = 2*j - 343. Let q = -916/5 - j. Let h = 0.14 - 0.05. Put q, 1/3, h in decreasing order.
q, 1/3, h
Let f be (1502723/4)/(194520/128). Let x = f - 123/1621. Let y = x + -247. Put 2, y, 0 in decreasing order.
2, y, 0
Let k = -6503/172 - -5/86. Let l = k - -38. Put l, 4/3, 4 in ascending order.
l, 4/3, 4
Let a(w) = -w**2 - 6*w + 9. Let n be a(-7). Suppose 0 = -9*p - p - 40. Sort n, p, 0.
p, 0, n
Suppose -g = 4*m - 5*g - 196, -4*m - 2*g + 214 = 0. Let b = m - 57. Sort b, -4, -3, 1 in descending order.
1, -3, -4, b
Let j(m) = m**2 - 2*m - 48. Let c be j(-7). Sort 2, c, -1 in increasing order.
-1, 2, c
Let p = -1.11 + 67.11. Let h = 61 - p. Sort 6, -1/5, 0, h in ascending order.
h, -1/5, 0, 6
Let y be (8 + -9)*3*-1. Let r = -7 - y. Suppose -j = p, 0 = 5*p + 3*j + j + 5. Sort 5, r, | {
"pile_set_name": "DM Mathematics"
} |
What is the units digit of k?
7
Let s = -27507 - -53507. What is the tens digit of s?
0
Let y(z) = 11*z**2 - 155*z - 406. What is the thousands digit of y(47)?
6
Let a = 96 + -89. Suppose 33*s = a*s + 3640. What is the units digit of s?
0
Let d = -372 + 546. What is the tens digit of (d + -45)/((-6)/(-38))?
1
Suppose 162*k - 167*k = 19720. What is the hundreds digit of k/12*18/(-12)?
4
Let r = 47 + -23. Let o = r + -65. Let i = o + 94. What is the units digit of i?
3
Suppose 20*w + k - 21655 = 18*w, 54137 = 5*w + 3*k. What is the thousands digit of w?
0
Let r = 107332 - 65209. What is the ten thousands digit of r?
4
Suppose r - 6*r + 5 = 0, -4*g + 34173 = -3*r. What is the hundreds digit of g?
5
Let z be 296/(-32)*(-127 - 1). Let v = 1668 - z. What is the hundreds digit of v?
4
Suppose 59888 = 4*q - 4*w, 44912 = -25*q + 28*q - w. What is the hundreds digit of q?
9
Let o = 53 + -49. Suppose 88 = -p + o*i, -292 = -2*p + 6*p - i. What is the tens digit of 4*(2/(-3) + (-3558)/p)?
9
Let g be (-392)/(-10)*(-75)/(-6). Let y = -271 + g. What is the tens digit of y/4 + 4/16?
5
Let k = 252 - 402. What is the hundreds digit of 0/(-1) - k - (-708)/(-177)?
1
Suppose -18*y = y - 6821. Let u = -97 + y. What is the tens digit of u?
6
Let a = 670 + -611. Suppose -a*t + 40342 = -12522. What is the units digit of t?
6
Suppose 4*c + 1 = 5*j + 37, -3*c + j + 16 = 0. Suppose -18*r + 17*r = c. What is the tens digit of (-2 + 4)/(r/(-424))?
1
Suppose 0 = 3*p + 4*p + 4*p. Suppose p = -4*m + 243 + 1005. What is the hundreds digit of m?
3
Suppose -3*x - 5*o = -7*o - 1235, 5*o = 3*x - 1247. Suppose -4*i + 1153 = x. What is the hundreds digit of i?
1
Let a(d) = 3589*d - 8065. What is the hundreds digit of a(10)?
8
Let d(k) = -3*k**2 + 14*k - 4. Suppose 2*z - 32 = 4*t, 24 = -2*t - 0*t - z. Let h be t/45 + (-152)/(-36). What is the units digit of d(h)?
4
Let w = 921 - 116. Suppose w - 186 = j. What is the hundreds digit of j?
6
Let r(y) = y**2 - 7*y - 1. Let v be r(7). Let b be (0 + v)*(-89)/1. Suppose 2*o + 92 = 2*n, -3*n + 39 = -5*o - b. What is the tens digit of n?
5
What is the hundreds digit of ((-31)/(-15))/(1/153) - (-32)/(-160)?
3
Suppose 5*w - 10 = -5*c, 2*w - 3*c = -w - 24. What is the hundreds digit of ((-2949)/(-6) + 5)/w*-2?
3
Suppose -13*n + 1336 = -21*n. Let o = 260 + n. What is the tens digit of (o/4)/(18/24)?
3
Suppose 0 = 216*u - 199*u - 66079. What is the units digit of u?
7
Let s(n) = n**2 + 3*n - 19. Let b = 0 - 15. Let h be -5*(0 + 1)*(-24)/b. What is the units digit of s(h)?
1
Suppose 5 = c + 2*x, 0 = -4*c - 0*c - x + 34. Let v be ((-1)/(-3)*c)/((-6)/(-314)). Let t = v - 110. What is the tens digit of t?
4
Let w be 0/(5/(25/(-5))). Suppose 7*u + 175 - 518 = w. What is the tens digit of u?
4
Let f be 2/5*(-125)/(-25) - -6. What is the units digit of -1 + 2278/f - 5/(-20)?
4
Suppose 4*q = 5*x + 2*q - 35, -20 = -4*q. Let g(h) = -9*h + 13*h + 2 + 6*h - h**2 + 1. What is the tens digit of g(x)?
1
Let d(p) = -p**3 - 18*p**2 - 19*p - 39. Let r be d(-17). What is the units digit of (-3)/5 + (-6 - 438/r)?
1
Suppose m - 18431 = 2*v, 0 = 3*m - v - 31122 - 24151. What is the thousands digit of m?
8
Let z(a) = -5 + 46*a - 13*a + 5*a. Let q be z(-2). Let u = q + 125. What is the tens digit of u?
4
Let t = 2402 + 3946. What is the units digit of t?
8
Let r = -24075 - -24386. What is the units digit of r?
1
Suppose -35*y - 2*y = 333. What is the units digit of (-19)/(-171) + (-584)/y?
5
Let u = 2816 - 4031. Let a = u + 2654. What is the units digit of a?
9
Suppose -9 = 3*u, -u + 1055 = m + 90. Let z = m + -573. What is the hundreds digit of z?
3
Let j = 23588 + 1068. What is the hundreds digit of j?
6
Suppose 1027 - 7351 = -12*s. Let m = 1401 - s. What is the hundreds digit of m?
8
Suppose -4*w + 54588 = -4*v, -59311 = -3*w - 3*v - 18352. What is the units digit of w?
0
Suppose -48*h = -42*h - 2796. Suppose 22*u = 260 + h. What is the tens digit of u?
3
Let w(l) = -2*l**2 + 83*l - 91. Let z be w(35). What is the thousands digit of (13/(z/(-609)))/((-1)/48)?
1
Let q = -7 + 257. Let v = 797 - q. What is the units digit of v?
7
Let p(s) = 2*s**3 + 12*s**2 - 3*s - 15. Let f be p(-6). Let d(n) = 206*n - 51. What is the units digit of d(f)?
7
Let n = -2511 + 8983. What is the tens digit of n?
7
Let c(j) = 3*j**2 + 2*j - 1. Let d be c(1). Suppose 0 = -4*p + n + 1280, d*p - 1276 = -3*n + 5*n. What is the tens digit of p?
2
What is the thousands digit of 6565 + 1/(-3)*-10*1053/(-585)?
6
Let w(b) = 4*b**2 + 10*b + 6. Let d be w(-5). Let s be 66/4 + 3/6. Suppose v + s = d. What is the tens digit of v?
3
Let x(a) = 3*a**2 + a - 4. Let g be x(-4). Suppose -3*i - 4*l = -17, -5*l = -6*i + i + g. Suppose -8*n + 67 = -i*n. What is the units digit of n?
7
Let v(i) = -5*i + 25. Let g be v(5). Suppose 4*j = h + 207, j = -3*h - g*h + 42. Suppose -j*a = -49*a - 184. What is the units digit of a?
2
Let h be 0 + (-8)/(-12) - (-608)/(-3). Let t = h + 370. Suppose 13*i = 17*i - t. What is the units digit of i?
2
Let v(j) = j**3 + j**2 - 8*j - 6. Let t be v(-4). Let o = t - -26. Suppose 5*y = -2*k + o*k + 235, 141 = 3*y + 4*k. What is the tens digit of y?
4
Let v(m) = m**3 - 15*m**2 - m - 20. Suppose -38 = -3*c + c. Suppose c*y - 48 = 16*y. What is the hundreds digit of v(y)?
2
Let h(a) = -10*a - 5. Let b be h(-2). Let y be (b - 13) + (-62)/(-2) + 1. Suppose c + 2*r = -0*r + y, 0 = -5*r + 20. What is the units digit of c?
6
Let i(s) = -s**3 - 20*s**2 - 6*s + 16. Let l(u) = -u**2 + u + 1. Let v(j) = i(j) + 4*l(j). What is the tens digit of v(-25)?
9
Suppose -27387 = -3*u + 2*n, 4*u - 57*n - 36536 = -61*n. What is the hundreds digit of u?
1
What is the units digit of -9 - (-9 + -7784) - -7?
1
Let j(g) = g**3 + 2*g**2 - 2. Let t be j(-2). Let r(m) = -193*m + 3. Let w be r(t). Suppose 4*d - w = -17. What is the units digit of d?
3
What is the tens digit of (1/(10/(-63324)))/((48/(-120))/1)?
3
Let x(p) = -2*p**3 + 54*p**2 - 33*p - 134. Suppose -2*f = -0*f + 5*k - 47, 4*f - 5*k - 109 = 0. What is the hundreds digit of x(f)?
3
Let q(f) = -f**3 - 12*f**2 - 3*f - 3. Let s be q(-12). Let b = -26 + s. Suppose -2*d + b*d - 155 = 0. What is the units digit of d?
1
Let f be (-3 - -2)/((-6)/24). What is the tens digit of (2528/40)/((-4)/(-10)) - f?
5
What is the units digit of (-167729)/(-6) + (-13 - 545/(-30)) + -5?
5
Suppose 20*f - 35028 = 19*f + 3*u, -35046 = -f + 5*u. What is the tens digit of f?
0
Let p(u) be the second derivative of 0*u**2 + 275/12*u**4 + 1/2*u**3 + 0 - 9*u. What is the units digit of p(-1)?
2
Let z be (3 + 1452/20)/(3/(-15)). What is the tens digit of (-104)/78*z/4?
2
Suppose -91*l = -94*l - 5*g + 8965, 5*g = 5*l - 14995. What is the units digit of l?
5
Suppose 77574 = -33*b - 53*b + 1371100. What is the hundreds digit of b?
0
Let a(z) = 35 + 18*z - 41*z - 8 + 20*z. Let i be a(9). Suppose -4*m = -i*m - 356. What is the units digit of m?
9
Let h(r) = -r**3 - 4*r**2 + 5*r + 4. Let y be h(-5). Suppose y = 3*s + 5*p, 7*s + 60 = 2*s + 5*p. What is the units digit of 1602/21 - (-2)/s?
6
Let g = 147 - 177. What is the tens digit of 1*317 - (-25 - g)?
1
Let p = 48 - 156. Suppose 0 = h + 3*n - n + 92, -h + 2*n - 88 = 0. What is the tens digit of (p/(-30))/((-4)/h)?
8
Suppose 5*z - 44592 = -4*p, 2*p - 48*z = -43*z + 22296. What is the units digit of p?
8
Let r(t) = t + 27. Let s be r(-5). Suppose -s*y = -17*y - 205. What is the units digit of y?
1
Suppose -31*f - 14115 = -79401. Suppose -27*s + 30*s = f. What is the units digit of s?
2
Suppose -5*f = -t + 1421, 67*t + 7195 = 72*t + 5*f. What is the tens digit of t?
3
Suppose 3*c + 17939 = 5*o, -4*o + 17178 = 4*c + 2846. What is the tens digit of o?
8
Let g = -3 - -11. Suppose 0 = -3*f - 2*d + 33, 3*f + 5*d - 8*d - 18 = 0. Suppose g*o - f*o + 2 = 0. What is the units digit of o?
2
Suppose 8 = 5*s - 3*s. Suppose -5*a - 2*v + 107 + 291 = 0, 0 = -s*a - 5*v + 315. What is the tens digit of a?
8
Let l be (5640/(-27))/5 - (-4)/(-18). What is the units digit of (-1)/1 - 1*l?
1
Let p = 153 - 46. Let w = -104 + p. What is the units digit of 106 - -2*w/6?
7
Let f(s) = 847*s**2 - 17*s - 79. What is the ten thousands digit of f(-5)?
2
Suppose l - 5810 = -2*k, -3*k - l + 8718 = 2*l. Suppose -7*m + k = 349. What is the units digit of m?
5
Let o = -2074 + | {
"pile_set_name": "DM Mathematics"
} |
e a(0). Let c = -739 - t. Let m = 761 - c. Is m prime?
True
Let x be (-2991261)/(-231) - 2/11. Let a = -7898 + x. Is a prime?
True
Let f(m) = m**3 + m - 4998. Let z be f(0). Let o(i) = 17*i**2 + 25*i - 25. Let d be o(22). Let b = d + z. Is b a composite number?
True
Let y(j) = -17*j**2 + 10*j - 9. Let k be y(1). Is (6/5)/(13/((-524680)/k)) a composite number?
True
Let q = 8056 + 12081. Is q a prime number?
False
Let z(c) = 11*c**2 - 6*c - 2. Let n = 26 + -23. Let a(s) = -11*s**2 + 5*s + 1. Let m(i) = n*a(i) + 4*z(i). Is m(-3) prime?
False
Suppose -4*f = -p - 9, f = -4*f - p + 9. Suppose -2*t = 4*n - 3586, f*n = 5*t - 1416 - 7561. Is t a prime number?
False
Suppose 4*q + 4 = -5*a, 0 = -2*a + 4*q - 0 + 4. Suppose -24 + 22 = 2*y, -5*l - y + 5814 = a. Is l a composite number?
False
Suppose 2972 + 20037 = -19*p. Let r = -526 - p. Is r a composite number?
True
Is ((-5575650)/200)/((-3)/4) a prime number?
True
Let r(k) = -k**3 + 5*k**2 + 15*k - 3. Let d be r(7). Suppose -2*p - 14 = -4*u + 3*u, 3*u - 22 = -d*p. Suppose -6*c + c + 1333 = 2*w, 0 = -2*c - u. Is w prime?
False
Let q be 25675/175 - 4/(-14). Suppose 16*r - q = 9*r. Let f(l) = -l**3 + 27*l**2 + 15*l - 26. Is f(r) a composite number?
True
Let b(l) = -l**3 + l**2 - l + 5. Suppose -2*p - 4*p = 0. Let z be b(p). Suppose 2*y = 3*q - 2280, -2*y = -z*q - 5*y + 3781. Is q prime?
False
Let p be (-3)/(-18) + (-218650)/(-12). Let u = -10603 + p. Suppose -2*k = 4*m - u, -738 = 2*m + 5*k - 4527. Is m composite?
False
Suppose 2*j = 2*s - 107 - 1227, 3*s - 1976 = -2*j. Is s a prime number?
False
Suppose -3*p + 175288 = 5*h, -3*p + 30105 = -5*h + 205387. Is h a prime number?
False
Let k be -11832 - 7 - 1 - 5. Let g = 18804 + k. Is g composite?
False
Let q be (-1)/(-2)*-36*10/20. Let c(u) = 10*u**2 + u - 30. Is c(q) composite?
True
Suppose 3*q = 5*z + 6396 + 4175, -4*q = -8. Let b = 430 - 954. Let p = b - z. Is p prime?
False
Suppose 4*q - 1189209 - 1361587 = 0. Is q a composite number?
False
Let b = 23638 + -7145. Is b composite?
False
Is (-211305)/2*(-108)/270 composite?
True
Let z = 4 - 2. Suppose 2*y - z*h - 76 = 0, y + 7*h = 2*h + 20. Is ((-8057)/y)/(2 - (-22)/(-10)) prime?
True
Suppose -12*f - 2 = -13*f. Suppose -f*o + 79948 = -3*w, 2 = -0*w - w. Is o a prime number?
True
Let h(q) = -5*q**2 + 4*q + 2. Suppose 6 = -6*m - 0*m. Let o be h(m). Let n(w) = -6*w**3 - 12*w**2 - 14*w - 9. Is n(o) composite?
False
Let a(w) = -3*w + 12. Let i be a(6). Is 482139/54 - 3/i composite?
False
Let q(y) be the third derivative of y**4/12 + y**3/2 - 9*y**2. Let t be q(4). Suppose t*s - 15*s = -1948. Is s a prime number?
True
Let u(l) be the second derivative of 16*l + 41/6*l**3 + 0 + 47/2*l**2. Is u(22) a composite number?
True
Is 953/(((-12)/(-144)*-4)/(166/(-6))) composite?
True
Suppose -2*j = -q - 22266, -q + 1532 = j - 9598. Suppose -4*n = -4*d - j, -4*n + 11138 = -0*n - d. Is n composite?
True
Suppose 3*b + 5*c - 19 = 0, 0*b - 3*b = -4*c - 1. Suppose -b*n + 3004 = s - 6*s, n - 1001 = 2*s. Is n prime?
False
Let g = -233 + 503. Is -1 + 1/(g/(-55) - -5) prime?
False
Is (5600651/(-98))/((-2)/4) a prime number?
True
Let l be ((-10)/(-4))/(2/(-4)). Let a(r) = r**2 + 4*r - 7. Let t be a(l). Is -1 - -799 - (-1)/((-2)/t) a composite number?
True
Let a(j) be the third derivative of j**6/120 + 7*j**5/20 - 31*j**4/24 + 13*j**3/6 - 14*j**2. Let k = -38 - -16. Is a(k) a prime number?
True
Suppose 10*h + 5300 + 115440 = 0. Let d = -5369 - h. Suppose -7*a + 16*a - d = 0. Is a composite?
True
Suppose 4*j + y = 71, 0 = 5*j - 2*j - 4*y - 58. Let o(x) = -176*x + 3485. Let z be o(20). Let g = j - z. Is g composite?
False
Suppose 6*r + 163 = 187. Suppose 0 = 3*v + r*g - 4091, g = -4*v + 2467 + 2966. Is v a prime number?
False
Suppose 4 = -4*q - 4. Let j be (-3569)/q + 30/(-20). Suppose -7*a + 1458 = -j. Is a composite?
False
Suppose 275794 - 56801 = 5*f - 2*d, f - 43794 = 5*d. Is f a prime number?
False
Let s = 25 - 25. Suppose -4*h - 3*i = -11, -24 = -s*h - 3*h + 3*i. Suppose -n = 2*v - 5123, 0*v + h*v - 12807 = -2*n. Is v composite?
True
Is (895189/91*-7)/(2/(-26)) a prime number?
True
Let h = 156146 + 230151. Is h a composite number?
False
Let i(d) = 2*d - 2 + 23*d**2 + 15 + 12. Let m(w) = -70*w**2 - 5*w - 76. Let h(x) = 7*i(x) + 2*m(x). Is h(8) a composite number?
False
Suppose 14*p - 9*p + 7*p - 35268 = 0. Is p composite?
False
Is ((-151260)/75)/(26/10 - 3) composite?
True
Suppose 4*z - 3 - 13 = 0. Suppose 0 = -z*q + 6*q - 1914. Suppose -2*d + 469 + q = 0. Is d composite?
True
Let z(w) = 4*w**3 + 20*w**2 - 47*w + 11. Let d(x) = -18*x - 96. Let t be d(-6). Is z(t) composite?
False
Let b = 1486814 - 230301. Is b a prime number?
False
Suppose -3779835 - 678677 = -16*h. Is h composite?
True
Is 6335 - (6/(-4))/(21/42) a prime number?
False
Is ((-9 - 3 - -7) + 6)*(2 - -472847) prime?
False
Suppose -5*z - 2*k + 26 = -24, -3*z - 3*k = -21. Let r be (9/z)/((2 - -2)/(-16)). Is 5 + r + (1649 - 0) composite?
True
Let l be (84/(-20))/7 + (-3)/(-5). Suppose 0 = 6*k - l*k - 11838. Suppose -2623 = -4*d + k. Is d prime?
False
Let b be (-1 - 1) + 18 + 321. Let m = b + 130. Is m a composite number?
False
Let u = -19 + 20. Let r be (-3 - -2) + -3 - (u - 5338). Is 2/6*r - 56/84 a prime number?
True
Let c = 14752 + 8182. Is c prime?
False
Let m be -1 + 18/(-8) + 3/(-4). Let o be 7225/(-10) + m/(-8). Let g = 5317 + o. Is g prime?
False
Let m(u) = 18*u**2 + 26*u - 1. Suppose 4*y + v - 13 = 0, -v = -4*y + 3*v + 28. Is m(y) composite?
True
Suppose 116*b = 2968945 + 6718563. Is b a composite number?
True
Let s(g) = -6*g**3 - 10*g**2 - 2*g - 6. Let l(b) = 7*b**3 + 9*b**2 + b + 4. Let k(y) = 5*l(y) + 6*s(y). Let a = -15 + -6. Is k(a) a prime number?
True
Suppose 10077 = -3*i + 6*i - 4*b, 4*b = -12. Is 4/(-6) - i/(-15) prime?
True
Let h(i) = 541*i**2 + 5*i - 5. Let b be h(1). Suppose -b = -2*q + q. Is q composite?
False
Let a = -4338 - -1742. Let g = 985 - a. Is g prime?
True
Suppose -9*c + 218 = -52. Let g = 64 - c. Let b = g + -28. Is b composite?
True
Suppose -142*t + 54*t + 1241946 = -34*t. Is t composite?
True
Suppose -i + 0*i = -4*l + 4, -i + 2*l = 2. Let b(w) = w + 8999. Is b(i) a composite number?
False
Suppose 0*b + 6 = 2*b. Is (-1)/b - (52408/(-12) + -6) a prime number?
True
Let g(c) = 20467*c - 3733. Is g(38) prime?
False
Let x = 581 - 985. Let f = -73 - x. Suppose 4*l = a - f, -3*a - l - 221 = -1175. Is a a prime number?
False
Is (-1020734)/(-6) - (20/12 - (-104)/(-78)) prime?
False
Let r(j) = 3*j**2 - 39*j - 287. Let z be r(-6). Is (-3)/30*-2 - (-124674)/z prime?
True
Let w(g) = -2*g**3 - 8*g**2 + 3*g - 13. Suppose h - 2*s = 3, 3*h - 3*s = -0*h. Let z be ((-10)/h)/((-19)/57). Is w(z) a composite number?
True
Suppose -2*x + 1060 + 2036 = 3*f, -3*f - 6210 = -4*x. Let c = 2700 - x. Is c prime?
False
Let u = -87 + 92. Suppose -2*g = g + u*a + 13, 15 = -2*g + 3*a. Is ((-291)/g)/(1/10) composite?
True
Let t(v) be the first derivative of 5*v**3/3 + 8*v**2 + 20*v + 685. Let q be -2 - (7 - (-1 - 1)). Is t(q) prime?
True
Let u(m) = -7*m**2 + 4*m + 2. Let s be u(5). Suppose -32*h + 7236 = -5*h. Let q = s + h. Is q composite?
True
Let p(x) = x. Let t(m) = -m**3 + 19*m**2 - 33*m - 16. Let q be t(17). Let j(h) = h**3 + 7*h**2 - 24*h - 13. Let w(k) = q*j(k) - 4*p(k). Is w(-6) prime?
True
Suppose -36*j + 9*j = -864. Is (((-119860)/(-16))/(-5))/((-8)/j) a composite number?
True
Let y be (12/18)/(4/(-18)). Let u be (15/50)/(y/(-4))*10. Is 23492/(-35)*(-10)/u composite?
True
Suppose 5*u - 875490 = -5*w, 2*w - 5*u - 525286 = -w. Is w composite?
True
Suppose 25*f - 20*f = -20. Let z be (-4 + (8 - f))/2. Suppose 3*p + 0*p - 4*d = 133, -2*d = -z*p + 184. Is p a prime number?
True
Is (-169924)/6*(-471)/314 prime?
False
Let l(z) be the third derivative of 3167*z**4/24 - 2*z**3/3 - 2*z**2 - 2*z. Is l(1) a composite number?
False
Let r(s) be the first derivative of s**5/10 - 7*s**4/24 + 19*s**3/6 - 3*s**2 - 14. Let y(a) be the second derivative of r(a). Is y(8) a prime number?
True
Let g(y) = -80*y**3 + 11*y**2 + 16*y - 43. Is g(-10) a prime number?
True
Let x be ((-11)/((-77)/21))/(2/(-1702)). Let o = -580 - x. Is o a prime number?
True
Let h = -700692 + 1092823. Is h a prime number?
True
Let b = 205 - 235. Is (-47138)/(-70) + (-3)/b*-4 prime?
True
Let o = 6136 + 2898. I | {
"pile_set_name": "DM Mathematics"
} |
ed without replacement from nigiingnning.
2/11
Calculate prob of picking 1 l and 1 w when two letters picked without replacement from hlwjjnhwuunu.
1/33
Two letters picked without replacement from dkdokyr. Give prob of picking 1 k and 1 o.
2/21
Two letters picked without replacement from sxxsmv. Give prob of picking 1 x and 1 s.
4/15
Calculate prob of picking 4 x when four letters picked without replacement from xxlxxxxlx.
5/18
What is prob of picking 2 e and 1 z when three letters picked without replacement from {z: 11, e: 5}?
11/56
What is prob of picking 1 b, 1 r, and 1 q when three letters picked without replacement from {p: 2, l: 1, r: 4, q: 1, b: 3}?
4/55
Two letters picked without replacement from hhhaaaaahahaa. What is prob of picking 1 a and 1 h?
20/39
Two letters picked without replacement from {u: 2, x: 2, e: 1, d: 1}. Give prob of picking 1 x and 1 u.
4/15
Three letters picked without replacement from ngggggggggggngggggg. Give prob of picking 3 g.
40/57
Three letters picked without replacement from {h: 9}. What is prob of picking 3 h?
1
Two letters picked without replacement from wwnlwsnwwklwlk. Give prob of picking 2 l.
3/91
What is prob of picking 1 v and 2 l when three letters picked without replacement from wyqvlvvlql?
3/40
What is prob of picking 2 i and 1 k when three letters picked without replacement from kirkkiikiir?
8/33
Three letters picked without replacement from nzzidnpnipidnpdpdpz. Give prob of picking 1 i and 2 n.
6/323
Calculate prob of picking 3 q when three letters picked without replacement from qqqqqzqqqqqqq.
10/13
Two letters picked without replacement from oooooooooooxooo. Give prob of picking 1 x and 1 o.
2/15
Three letters picked without replacement from zktkkkze. What is prob of picking 2 k and 1 e?
3/28
Four letters picked without replacement from gaaaggggggaaaa. What is prob of picking 2 g and 2 a?
63/143
Calculate prob of picking 2 w and 1 y when three letters picked without replacement from yqqwwwyjywjwj.
15/143
What is prob of picking 1 e, 1 k, and 1 n when three letters picked without replacement from {b: 3, m: 1, w: 5, n: 5, k: 1, e: 3}?
5/272
Two letters picked without replacement from kkbkbkk. Give prob of picking 1 b and 1 k.
10/21
Two letters picked without replacement from euueueeuuueeeeeeee. Give prob of picking 1 u and 1 e.
8/17
Three letters picked without replacement from vvvvwvvvvwvvww. Give prob of picking 1 w and 2 v.
45/91
Calculate prob of picking 2 q when two letters picked without replacement from ksiqqqsesssqsjkqs.
5/68
Calculate prob of picking 1 k and 1 r when two letters picked without replacement from agaakargaarkkurgara.
4/57
What is prob of picking 1 h and 1 u when two letters picked without replacement from {d: 2, h: 1, s: 1, u: 5}?
5/36
What is prob of picking 1 e and 1 j when two letters picked without replacement from {z: 6, e: 1, j: 1, q: 3, g: 2}?
1/78
Calculate prob of picking 1 i, 1 f, and 1 v when three letters picked without replacement from {v: 1, c: 1, f: 2, i: 1}.
1/5
Two letters picked without replacement from {a: 9, j: 1, e: 2, v: 7}. What is prob of picking 2 v?
7/57
Four letters picked without replacement from {a: 1, e: 1, f: 1, n: 4, c: 2}. What is prob of picking 1 a, 1 n, and 2 c?
2/63
Calculate prob of picking 1 v and 2 x when three letters picked without replacement from {x: 2, l: 4, n: 1, v: 1}.
1/56
Three letters picked without replacement from cqtetqttwqeeqt. What is prob of picking 2 e and 1 c?
3/364
Two letters picked without replacement from kkkkrrrkrrkkrr. Give prob of picking 2 r.
3/13
Four letters picked without replacement from qdqqqzqzqqddqqdddq. What is prob of picking 1 q, 1 z, and 2 d?
5/51
Four letters picked without replacement from wewwweweeeww. What is prob of picking 4 e?
1/99
Three letters picked without replacement from {n: 8, i: 7, v: 2, k: 2}. Give prob of picking 1 v and 2 i.
14/323
Calculate prob of picking 1 u and 1 x when two letters picked without replacement from {b: 1, x: 2, z: 1, u: 1}.
1/5
What is prob of picking 3 y and 1 n when four letters picked without replacement from yyinyiyyrnrin?
6/143
What is prob of picking 2 b when two letters picked without replacement from bnbbbbbb?
3/4
Two letters picked without replacement from jejjejeedjevjeejj. Give prob of picking 1 d and 1 e.
7/136
Two letters picked without replacement from {q: 7, a: 7, e: 1, k: 2, p: 1}. Give prob of picking 1 a and 1 p.
7/153
Four letters picked without replacement from jqjyyjffijyiqfifjj. Give prob of picking 1 j, 1 y, and 2 q.
1/170
Calculate prob of picking 1 b and 1 y when two letters picked without replacement from {x: 5, m: 4, w: 1, b: 3, y: 5}.
5/51
Two letters picked without replacement from tuppttyssstt. What is prob of picking 1 u and 1 y?
1/66
What is prob of picking 2 u and 1 e when three letters picked without replacement from eedededueudddd?
5/364
Calculate prob of picking 1 n, 1 z, and 1 r when three letters picked without replacement from nznnnoozeronnyoon.
7/340
Calculate prob of picking 1 a and 2 v when three letters picked without replacement from {a: 5, n: 12, v: 2}.
5/969
Three letters picked without replacement from {d: 1, o: 1, x: 2, h: 1, r: 2, b: 1}. Give prob of picking 1 x, 1 h, and 1 o.
1/28
Calculate prob of picking 1 t and 2 g when three letters picked without replacement from hgsngngsgntihn.
3/182
What is prob of picking 1 k and 1 m when two letters picked without replacement from {m: 1, k: 3, p: 5}?
1/12
Calculate prob of picking 2 w and 1 o when three letters picked without replacement from {o: 1, w: 3, f: 1, h: 2}.
3/35
Three letters picked without replacement from aajajaaaajaaaaa. Give prob of picking 3 j.
1/455
Calculate prob of picking 3 d when three letters picked without replacement from eveveeeeevddd.
1/286
What is prob of picking 2 x when two letters picked without replacement from rrrrrxrxrrrr?
1/66
Two letters picked without replacement from {t: 5, w: 3, g: 3, u: 3, o: 1}. What is prob of picking 1 t and 1 u?
1/7
Two letters picked without replacement from {i: 1, f: 1, w: 1, k: 1, z: 1}. Give prob of picking 1 i and 1 z.
1/10
Calculate prob of picking 1 x and 1 j when two letters picked without replacement from {l: 3, x: 4, j: 1}.
1/7
Calculate prob of picking 1 r and 2 k when three letters picked without replacement from errkekrernrr.
3/110
Calculate prob of picking 1 g and 1 w when two letters picked without replacement from {l: 3, w: 3, g: 7}.
7/26
Two letters picked without replacement from prruruuruyypprpppr. Give prob of picking 2 y.
1/153
Calculate prob of picking 1 z and 1 u when two letters picked without replacement from uzn.
1/3
Two letters picked without replacement from ffrrfrrmfrmrirlrfr. What is prob of picking 2 r?
4/17
Two letters picked without replacement from mhmhmamaaahhmh. What is prob of picking 2 h?
10/91
What is prob of picking 1 q and 1 v when two letters picked without replacement from {q: 5, v: 9}?
45/91
Two letters picked without replacement from {q: 3, z: 5, v: 1, e: 1}. Give prob of picking 1 q and 1 e.
1/15
Calculate prob of picking 2 l and 1 f when three letters picked without replacement from {e: 2, f: 1, c: 6, h: 4, l: 3, r: 2}.
1/272
Calculate prob of picking 1 n and 2 h when three letters picked without replacement from jjnjpjpjjjphbjjhnjh.
2/323
Calculate prob of picking 2 d and 1 r when three letters picked without replacement from {d: 2, r: 8}.
1/15
Three letters picked without replacement from {d: 1, i: 5, k: 4, f: 5, n: 5}. Give prob of picking 1 d and 2 i.
1/114
Two letters picked without replacement from ybssfffsbb. Give prob of picking 1 s and 1 y.
1/15
Calculate prob of picking 1 h, 1 i, and 1 d when three letters picked without replacement from {h: 1, j: 1, i: 5, d: 1, y: 2}.
1/24
Two letters picked without replacement from {i: 1, s: 7, o: 2, b: 3, u: 1}. Give prob of picking 1 i and 1 o.
2/91
What is prob of picking 1 c and 1 t when two letters picked without replacement from {a: 2, c: 3, o: 5, t: 7, r: 3}?
21/190
What is prob of picking 1 m and 2 o when three letters picked without replacement from mmimiioio?
1/28
What is prob of picking 1 t and 1 w when two letters picked without replacement from wwtwwtww?
3/7
Calculate prob of picking 1 u and 1 c when tw | {
"pile_set_name": "DM Mathematics"
} |
f + 2*c = -3*c - 26, 3*f + x*c = 42. Does 9 divide f?
False
Does 58 divide (-590315)/(-275) + (-2)/(-5)?
False
Let u(z) = 5*z**3 + 6*z**2 - z + 17. Let d(o) = 4*o**3 + 5*o**2 - o + 17. Let h(s) = 6*d(s) - 5*u(s). Let b = 4 - 4. Is h(b) a multiple of 9?
False
Let n(j) = 1745*j**2 + 6*j - 2. Does 13 divide n(1)?
False
Let v be (3 - 1) + (23 - 0). Let x be (-85)/v - (-6)/15. Let h(c) = -c**3 - 2*c**2 + 2*c + 2. Is h(x) a multiple of 5?
True
Does 2 divide -2*4*(-5)/10?
True
Suppose -7366*o + 4760 = -7356*o. Is o a multiple of 17?
True
Suppose 3*l - 2*l - 9 = -2*u, 4*l - 1 = -u. Let k = 7 - u. Suppose 0 = -5*f + j + 65, j - 5*j = -k*f + 44. Is 4 a factor of f?
True
Let i be 2/3 + 52/(-6) - -4. Does 7 divide (64/(-12))/i + (-149)/(-3)?
False
Suppose 0 = -3*a - 2*v + 402, 8*v + 686 = 5*a + 6*v. Is a a multiple of 43?
False
Let y = -3 + 67. Let l = 84 + y. Does 37 divide l?
True
Let j(f) = -f + 442. Does 12 divide j(46)?
True
Let c = -285 - -1023. Is 6 a factor of c?
True
Suppose 0 = 6*z - z - 25. Suppose -3*j = -z*m - 442, -125 - 411 = -4*j - 4*m. Suppose j = 5*x + 19. Is x a multiple of 14?
False
Is (42/(-3))/(2/(-29)) a multiple of 12?
False
Suppose 10*a - 2085 - 1325 = 0. Does 11 divide a?
True
Suppose -f + 28 = 3*f. Let l be -2*(2 + f/(-2)). Suppose 0*o - l*o = -2*k - 142, 0 = -5*o + 5*k + 240. Is o a multiple of 15?
False
Let o(j) = -j**2 - 4. Let a(k) = k + 5. Let i(q) = -3*q - 11. Let z(p) = 5*a(p) + 2*i(p). Let l(s) = -3*o(s) - 4*z(s). Is 14 a factor of l(-3)?
False
Suppose 8*h = 7*h + 5. Suppose -120 = -h*r + r. Is 15 a factor of r?
True
Let d(v) = 118*v - 356. Is 11 a factor of d(6)?
True
Suppose 4*y + 5*x - 108 = 0, -18*y - x + 92 = -15*y. Does 2 divide y?
True
Let z = 9 + 7. Let a = z - -59. Suppose 8*w - a = 5*w. Is w a multiple of 5?
True
Let k(d) = 4 - 7*d**3 - 2*d + 2*d**3 + 3*d**3 + d**3 + 8*d**2. Let w(p) = -p**3 + 8*p**2 - 2*p + 3. Let h(i) = 2*k(i) - 3*w(i). Is 6 a factor of h(8)?
False
Let g(v) = v**2 + 13*v - 34. Is g(-20) a multiple of 2?
True
Is 11 a factor of -300*((-36)/30)/((-9)/(-12))?
False
Let g(r) = -r**3 + 5*r**2 - 2*r - 5. Let n be g(4). Let v be (14/6)/(n/(-405)). Does 35 divide (v/(-6))/(-5)*-10?
True
Suppose -79*y = -102*y + 53820. Is y a multiple of 15?
True
Suppose -1874 + 6263 = 21*q. Is 11 a factor of q?
True
Let t be ((-6)/(-12))/((-1)/(-34)). Suppose 0 = -b, u = 3*b - 11 - 4. Let a = t - u. Is 16 a factor of a?
True
Suppose -30 = -3*c - 3*c. Does 21 divide 418/10 + 1/c?
True
Let f = -21 + 532. Is 7 a factor of f?
True
Let u(c) = 8*c**2 - 12*c - 119. Is 39 a factor of u(17)?
True
Suppose 3*s - 634 = 326. Does 28 divide s?
False
Suppose -4 = 4*i + 2*v, 5*i - 11 = 4*v + 10. Does 16 divide (2 + 1)/(i/304*3)?
True
Let s be 0 - (4/(-1) - 27). Suppose -36*w - s = -37*w. Does 31 divide w?
True
Let g = 35 + -41. Let d(q) = 3*q**2 + 10*q. Is d(g) a multiple of 9?
False
Let s = 64 - 36. Let u = s - 11. Is 17 a factor of u?
True
Let d be 3*4/(-6) + 1337. Suppose -d = -5*j - 4*p, 0 = -3*j - 2*j + 2*p + 1305. Is j a multiple of 26?
False
Suppose 0*u + 15 = -3*u. Let c(g) = g**3 + 6*g**2 - 8*g - 7. Let d be c(u). Let p = -20 + d. Does 19 divide p?
True
Let x(j) be the second derivative of 11*j**6/360 - j**5/24 - j**4/4 + 6*j. Let s(g) be the third derivative of x(g). Is 21 a factor of s(2)?
False
Let g(a) = -42*a - 21. Does 15 divide g(-3)?
True
Suppose -s - 1 = -4*w + 3*w, -3 = -w + 2*s. Let f(l) = -17*l. Let m(g) = -g. Let z(h) = 2*f(h) - 2*m(h). Is z(w) a multiple of 32?
True
Let i = 47 - 45. Suppose 4*z - i*w = 198, z - 29 - 10 = -3*w. Is 48 a factor of z?
True
Let s(m) = 2*m - 10. Let u be s(6). Let f = u - -70. Is f a multiple of 9?
True
Suppose -1 = r, -3*f + 4*r - 3 + 31 = 0. Let z be 58 - (10/15 + (-8)/(-6)). Is 4 a factor of 98/f + (-14)/z?
True
Let z(v) = 6 + v**3 - v**3 + 10*v**2 - v**3 - 7*v + 0*v**3. Does 24 divide z(5)?
True
Let p(y) = 6*y**3 - y**2 - y + 1. Let i be p(1). Suppose -i*x + 3*r - 318 - 82 = 0, 0 = -x + 4*r - 97. Let o = -51 - x. Is 7 a factor of o?
False
Let z be (-2 - -98)*(-8)/(-6). Suppose -5*l - 7*k + 2*k + 140 = 0, -5*l + z = 2*k. Is l a multiple of 6?
True
Let v(y) = -y**3 + 9*y**2 + 11*y - 24. Let s(o) = 3*o + 47. Let n be s(-14). Is v(n) a multiple of 32?
False
Let o(n) = -n**3 + 9*n**2 + 6*n - 11. Is o(6) a multiple of 19?
True
Let p(w) = -w**3 - 15*w**2 - 25*w + 18. Is p(-13) a multiple of 5?
True
Suppose c - 1508 = -3*c. Let w = c - 257. Suppose -y - g + 4*g = -66, -2*y + w = -3*g. Is y a multiple of 27?
True
Suppose 2 = -w, -2*c = -w - 31 - 265. Is c even?
False
Does 17 divide -5 - 372/15*(-1 - 4)?
True
Let b(v) = 85*v**2 - 12*v + 47. Does 32 divide b(5)?
True
Let x(w) = -w**2 + 12*w - 15. Let i be x(10). Suppose -5*q = 4*l + 45, -l = -i*l - 4*q - 44. Does 13 divide (-388)/l - 2/(-10)?
True
Let y(r) = 18*r - 5. Let x = 31 + -28. Is 30 a factor of y(x)?
False
Let g(o) = o**2 - 17*o - 16. Let m be g(20). Suppose -5 + m = 3*r. Is 13 a factor of r?
True
Let r = 13 + -5. Suppose 5*n = -3*k + 7 + 35, 19 = 2*n - k. Suppose o - n = r. Is 6 a factor of o?
False
Let q be 3*(2 + 4/(-4)). Suppose i = q*i. Suppose 3*y + i*w - 22 = -2*w, -4*w = -8. Is 6 a factor of y?
True
Let z(g) = -g**3 - 39*g**2 - 46*g + 56. Is z(-38) a multiple of 4?
True
Let f(r) = -262*r**3 + 4*r**2 + 4*r - 12. Does 14 divide f(-2)?
False
Suppose -2*c + 46 = -3*u, c + 3*u + 0*u - 32 = 0. Does 26 divide c?
True
Suppose 0 = u - 15 - 36. Let b be 2/((-14)/(-45)) - 30/70. Is 56/b - (-34)/u a multiple of 5?
True
Suppose 2*q - 6*q + 216 = 0. Let c = q + -14. Does 10 divide c?
True
Let y(c) = 2*c**3 - 9*c**2 + 5*c + 5. Is 11 a factor of y(6)?
True
Suppose -46*v = -41*v - 3465. Is v a multiple of 33?
True
Suppose 0 = -4*o + 12, 5*v = -0*o + 3*o + 411. Let n be (1 + 0)/((-7)/v). Is 25 a factor of ((-150)/12)/(2/n)?
True
Suppose -5*n = -z - 2*n + 13, 3*n + 9 = 0. Let p(f) = -11*f + 11*f + f**2 - z + 1. Is p(-3) a multiple of 3?
True
Let c = 133 + -39. Suppose 266 + c = 2*b. Suppose j - 3*j + b = 0. Is j a multiple of 30?
True
Let y = 1437 - 492. Is 18 a factor of y?
False
Let o(t) = t**2 - 11*t - 2. Let i be (12 + -7)*(-14)/(-5). Does 5 divide o(i)?
True
Suppose 16*w - 28407 = 3273. Does 66 divide w?
True
Suppose -q + 24 = -y + 4*q, 2*y - 7 = -q. Does 13 divide (16 + -4 + y)/2*26?
True
Suppose 0 = -4*f - 478 - 434. Let c = f + 133. Let x = c + 134. Does 13 divide x?
True
Let i = 192 + -74. Suppose 2*b = 3*h + 2*h, 3*h = -b. Suppose 0 = 4*r - 4, b = -2*g + 2*r + 38 + i. Is g a multiple of 20?
False
Let k(x) = 6*x**2 - 2*x. Let t be k(-3). Let m = 3 + t. Is m a multiple of 4?
False
Let z be 13/(-3) + (-2)/(-6). Let t = -1 - z. Suppose -t*a = -8*a + 260. Does 23 divide a?
False
Let y = -25 + 25. Suppose -4*u + 2*r + 6 = 0, u = -y*r - 2*r - 6. Suppose -4*f - f + 130 = u. Is 13 a factor of f?
True
Let d(y) = 2*y + y - 4 - 2*y + 3. Let x be d(2). Is ((-30)/(-35))/(x/14) a multiple of 4?
True
Let k(x) = 5*x**2 - x. Let z be k(-2). Suppose 3 = -3*h, -2*h - z = -2*y - 3*y. Suppose 4*c + 2*m = c + 26, y = 4*m. Is c a multiple of 8?
True
Is 6 a factor of (-160826)/(-291) - 4/6?
True
Suppose 0 = 7*a - 81 + 11. Is 2 a factor of (1/1 - 4)*a/(-15)?
True
Let p = 114 - 110. Suppose -5*a - 25 = 0, j - p*a - 15 = -7*a. Does 5 divide j?
True
Suppose -10*r + 4282 = 292. Does 4 divide r?
False
Let h(b) = b**2 + 15*b + 421. Does 5 divide h(-18)?
True
Suppose 0 = -r - 0 + 3. Suppose -r*b + 12 = b. Is b - (-4 - (0 + -3)) a multiple of 4?
True
Suppose 6 - 29 = -b. Let w = b + -9. Let v = 44 - w. Does 6 divide v?
True
Let r(w) = w + 6. Let c(g) = g**2 + 8*g + 6. Let h be c(-6). Let i be r(h). Suppose i = 5*p - 14 - 6. Does 3 divide p?
False
Let q = 547 + -239. Is 22 a factor of q?
True
Suppose 0 = k - g + 22, -3*k - 5*g + 0*g = 58. Let r be (2/4)/(k/(-672)). Suppose 0 = 2*m - r - 128. Is 12 a factor of m?
True
Let c = -20 - -134. Does 38 divide c?
True
Let c(o) = 85*o + 125. Let i(u) = -14*u - 21. Let t(f) = 6*c(f) + 35*i(f). Let a be t(8). Suppose -y + 3*v + 27 = 0, -5*y - 4*v + a + 55 = 0. Does 21 divide y?
True
Let h = -384 + 405. Is h a multiple of 7?
True
Let z be (-6 + 2)*(58 - 4). Let b = -139 - z. Let q = b + -51. Is 14 a factor of q?
False
Let w(o) = o**3 + 27*o**2 - 25*o - 98. Is 30 a factor of w(-27)?
False
Suppose -664*g + 660*g = -76. Let h = | {
"pile_set_name": "DM Mathematics"
} |
4559, 5699, 6839?
7979
What is next in -728, -1464, -2200, -2936, -3672?
-4408
What is next in -48, -63, -78, -93, -108?
-123
What comes next: 57, 216, 481, 852?
1329
What is next in 751, 738, 735, 748, 783?
846
What is the next term in -1886, -3777, -5668, -7559, -9450, -11341?
-13232
What is next in -81, -92, -111, -138, -173, -216, -267?
-326
What is next in 34, 35, -14, -137, -358, -701, -1190?
-1849
What is the next term in 669, 668, 667, 666?
665
What is next in -525, -534, -557, -600, -669, -770, -909, -1092?
-1325
What is the next term in 172, 346, 518, 688, 856, 1022?
1186
What is the next term in 45, 120, 227, 366, 537, 740?
975
What is next in -16340, -16341, -16342, -16343, -16344, -16345?
-16346
What is next in 17580, 17581, 17582, 17583?
17584
What is next in 1257, 1256, 1255, 1254?
1253
What is next in -14, -70, -166, -302, -478, -694?
-950
What is next in 2257, 4513, 6769, 9025, 11281?
13537
What is the next term in -10, -10, -12, -16, -22, -30, -40?
-52
What is the next term in -7, -16, -27, -40?
-55
What comes next: -17, -63, -131, -215, -309, -407, -503?
-591
What comes next: -9, -4, 1, 6?
11
What is the next term in 1199, 4785, 10763, 19133?
29895
What comes next: -35, -6, 23, 52, 81?
110
What is next in 46, 82, 132, 202, 298, 426, 592?
802
What is next in -57, -102, -115, -90, -21, 98, 273, 510?
815
What comes next: 441, 447, 463, 495, 549, 631?
747
What is next in 1842, 1838, 1834, 1830, 1826, 1822?
1818
What comes next: -8, -34, -72, -116, -160?
-198
What is next in -133, -266, -399, -532?
-665
What is the next term in 1864, 3729, 5594, 7459, 9324?
11189
What comes next: 17, 13, 21, 47, 97?
177
What is the next term in -26, -38, -40, -26, 10, 74, 172, 310?
494
What is next in 1017, 1016, 1015, 1014, 1013, 1012?
1011
What comes next: -29, -41, -53, -65, -77, -89?
-101
What comes next: -57, -111, -177, -261, -369, -507, -681?
-897
What is next in 68, 85, 120, 179, 268, 393, 560?
775
What is next in -413, -412, -411, -410, -409?
-408
What is the next term in -975, -978, -981?
-984
What is next in 23981, 23980, 23979, 23978, 23977, 23976?
23975
What is next in 146, 142, 138, 134, 130?
126
What comes next: -344, -346, -348?
-350
What comes next: -8, -57, -120, -191, -264, -333, -392?
-435
What is the next term in 168, 170, 174, 180, 188?
198
What comes next: 2909, 5815, 8721?
11627
What is next in -40, -110, -184, -262, -344, -430?
-520
What is next in 5, 31, 83, 173, 313, 515?
791
What comes next: 6, 5, 4, 3, 2?
1
What is the next term in 7519, 7517, 7513, 7507, 7499, 7489, 7477?
7463
What is next in 635, 1250, 1865, 2480?
3095
What is the next term in -113, -109, -95, -65, -13, 67, 181, 335?
535
What comes next: 160, 156, 154, 160, 180, 220, 286?
384
What is next in 74, 151, 230, 311, 394, 479, 566?
655
What comes next: -248, -482, -716, -950?
-1184
What is the next term in 13, 44, 101, 190, 317?
488
What is next in 199, 194, 185, 172, 155, 134, 109?
80
What comes next: -33, -136, -321, -600, -985, -1488, -2121, -2896?
-3825
What is the next term in 359, 341, 337, 353, 395?
469
What is the next term in -708, -706, -702, -696, -688, -678?
-666
What is next in 30, 99, 208, 351, 522, 715?
924
What is next in 61, 116, 167, 214?
257
What comes next: 67, 129, 191, 253, 315?
377
What is next in -130, -420, -1204, -2728, -5238, -8980?
-14200
What is next in 92, 92, 94, 98, 104?
112
What is the next term in 54, 333, 1084, 2541, 4938, 8509?
13488
What is next in 52, 55, 58, 61, 64?
67
What comes next: 1441, 1440, 1439, 1438, 1437?
1436
What comes next: 529, 1064, 1599, 2134, 2669?
3204
What comes next: 177, 355, 533, 711, 889?
1067
What is next in -74, -147, -216, -275, -318, -339?
-332
What is the next term in -11, 4, 29, 64, 109, 164, 229?
304
What comes next: 4, -4, -18, -38, -64, -96, -134?
-178
What is the next term in 63, 137, 211, 285, 359?
433
What is the next term in -532, -1078, -1624, -2170, -2716?
-3262
What is next in 1020, 1014, 1004, 990, 972, 950?
924
What comes next: -56, -82, -94, -86, -52, 14, 118, 266?
464
What comes next: -423, -422, -421?
-420
What is the next term in 17017, 17016, 17015, 17014?
17013
What comes next: -16, -102, -310, -694, -1308, -2206, -3442?
-5070
What is the next term in -368, -747, -1128, -1511?
-1896
What comes next: 16, -8, -46, -98?
-164
What is next in -952, -941, -930, -919, -908, -897?
-886
What is the next term in -3, -8, -15, -24, -35, -48?
-63
What is the next term in 65, 81, 97?
113
What is next in 1665, 1660, 1655, 1650?
1645
What is next in 33, 24, 11, -6, -27?
-52
What is the next term in -24, -105, -240, -435, -696, -1029, -1440, -1935?
-2520
What is the next term in -425, -439, -469, -521, -601?
-715
What comes next: 6340, 6338, 6336, 6334?
6332
What is the next term in 82, 60, 24, -32, -114?
-228
What comes next: 460, 924, 1384, 1840, 2292, 2740, 3184?
3624
What comes next: 25, 47, 105, 217, 401, 675, 1057?
1565
What is next in -698, -1397, -2096, -2795, -3494?
-4193
What is next in 188, 376, 564?
752
What is the next term in -3430, -6860, -10290, -13720?
-17150
What comes next: 15, 56, 93, 126, 155, 180, 201?
218
What comes next: 515, 513, 511, 509, 507?
505
What is next in 84, 92, 106, 126?
152
What is the next term in 3, 4, 7, 12, 19, 28?
39
What comes next: 27, 55, 83, 111, 139, 167?
195
What is next in 78, 182, 356, 600, 914, 1298?
1752
What comes next: 83, 89, 97, 107, 119, 133?
149
What comes next: -78, -77, -64, -33, 22, 107, 228, 391?
602
What comes next: -6521, -13043, -19565, -26087?
-32609
What is the next term in -35, -86, -171, -308, -515, -810, -1211, -1736?
-2403
What is next in -22, -20, -18, -16?
-14
What comes next: 6921, 6924, 6927?
6930
What comes next: -16123, -16119, -16113, -16105, -16095, -16083?
-16069
What is the next term in -136, -158, -180, -202, -224, -246?
-268
What comes next: 12, 11, 18, 39, 80?
147
What comes next: -270, -549, -828, -1107, -1386?
-1665
What is the next term in 57, 55, 55, 57, 61, 67?
75
What comes next: 176, 175, 174, 173, 172?
171
What comes next: -53, -108, -161, -206, -237, -248, -233, -186?
-101
What is the next term in -43, -113, -183, -253, -323, -393?
-463
What is the next term in 285, 287, 289?
291
What is the next term in -52, -78, -80, -46, 36, 178, 392?
690
What comes next: 15, 34, 51, 66?
79
What is the next term in -145, -141, -133, -121, -105?
-85
What is the next term in 1752, 1748, 1744, 1740, 1736, 1732?
1728
What is next in 35, 50, 69, 86, 95, 90?
65
What comes next: -1241, -1249, -1247, -1229, -1189, -1121?
-1019
What is next in 48, 40, 30, 18, 4, -12, -30?
-50
What comes next: -27, -43, -55, -69, -91, -127?
-183
What is next in 5208, 10412, 15612, 20808, 26000?
31188
What comes next: 12, 19, 26?
33
What comes next: -258, -501, -742, -981, -1218, -1453, -1686?
-1917
What is the next term in 1271, 2554, 3851, 5168, 6511, 7886?
9299
What is next in -134, -274, -418, -566, -718, -874, -1034?
-1198
What is the next term in -89, -92, -85, -62, -17?
56
What is the next term in 1130, 1139, 1162, 1205, 1274, 1375, 1514?
1697
What is next in -286, -290, -304, -334, -386?
-466
What comes next: 62, 51, 46, 53, 78, 127, 206?
321
What comes next: 30, 32, 44, 72, 122, 200, 312?
464
What is next in -99, -201, -303, -405, -507?
-609
What is the next term in -63, -488, -1643, -3894, -7607, -13148, -20883?
-31178
What is next in -19, -33, -69, -139, -255?
-429
What is the next term in 16, 104, 338, 790, 1532, 2636, 4174, 6218?
8840
What is the next term in -11, -14, -15, -14, -11, -6, 1?
10
What comes next: -91, -101, -111, -121?
-131
What is next in -77, -140, -203, -266, -329, -392?
-455
What is the next term in -93, -81, -53, -3, 75?
187
What comes next: 457, 913, 1369?
1825
What comes next: -27, 12, 99, 252, 489, 828?
1287
What is next in 511, 515, 521, 529, 539, 551, 565?
581
What is next in -44, -52, -70, -104, -160?
-244
What is next in -271, -1080, -2427, -4312, -6735?
-9696
What is the next term in 593, 1168, 1731, 2276, 2797, 3288?
3743
What is the next term in -48, -166, -462, -1026, -1948, -3318?
-5226
What is the next term in 13, 48, 105, 190, 309, 468, 673, 930?
1245
What comes next: 6, -13, -60, -147, -286, -489, -768?
-1135
What comes next: -289, -592, -897, -1204, -1513?
-1824
What is the next term in | {
"pile_set_name": "DM Mathematics"
} |
ch is the nearest to -0.1? (a) x (b) j (c) 0.1
c
Let x = 18 + -15. Let w = 11 + -10. Which is the closest to w? (a) -5 (b) -1/2 (c) x
b
Suppose 0*z = 3*z + 9. Let p be z + (-4)/(180/(-141)). What is the nearest to -1/2 in -3/8, -0.2, p?
-3/8
Let n(j) = j**2 - 8*j + 4. Let f be n(8). Let z be (f/95)/(6/(-15)). Let s = 0.1 - 0.2. Which is the nearest to -1? (a) z (b) s (c) -5
a
Let s = -1.1 + 1. Suppose -b - 3 = 4*q, q - b - b = -12. What is the nearest to q in s, -1/3, 2/7?
-1/3
Let b be ((-4)/90)/((-3)/(-15)). Let m = -58 + 61. What is the nearest to -1 in b, m, -4?
b
Let z(w) = w + 9. Let x be z(-13). What is the nearest to 0.2 in 3, x, 1/3?
1/3
Let n = -111 - -1001/9. Let f = 67/3 - 22. Which is the nearest to f? (a) -0.1 (b) 0 (c) n
c
Let x = -1.98 + 2. Let i = 0.52 - x. Let n = -0.3 - -1.3. What is the nearest to -1 in n, 0.4, i?
0.4
Let f = 0.7 + -0.2. Which is the nearest to 2/3? (a) f (b) 1 (c) -3/2
a
Let k be 100/(-3)*3/(-91). Let s = -1168/1313 - 50/101. Let c = s + k. What is the nearest to -1/2 in c, -3/5, 5?
-3/5
Let y = 13 + -13. Which is the closest to -0.2? (a) -1/2 (b) 3/8 (c) y
c
Let x = 1.23 + 2.77. What is the closest to 2 in 0.05, -0.5, x?
0.05
Let x = -3 - -2. Let h be (2 - x - 1)*-1. Let w = -45 + 44. What is the closest to h in w, 0.5, 1/3?
w
Let d = -39 - -115/3. Let n = -1.1 - 0.6. Let l = -0.7 - n. Which is the closest to l? (a) d (b) -1 (c) 2
c
Let o = 20/19 + -218/171. What is the nearest to -0.3 in o, 2, -7?
o
Let r = -106 - -102. Which is the nearest to -2/41? (a) 1 (b) r (c) -3
a
Let f be ((-3)/30)/(1/(-2)). Let t = -11 - -19/2. What is the nearest to -0.1 in t, -1/3, f?
-1/3
Suppose 2*w = 3*w + 8. Let q(i) = 2*i**2 + 11*i - 5. Let t be q(w). Let a be 50/t + 1 + -2. What is the nearest to -2 in -4, a, 5?
-4
Let j = -35 + 35.1. What is the nearest to 1/4 in j, 5, 1?
j
Let z = -53 + 53.2. Let u = 3 - 2. Let x be 0/2 + 2/(-5). What is the nearest to u in -2, x, z?
z
Suppose -5*v = -r + 5, 3*v - 2*v + 3*r - 15 = 0. Let a be 17/(-33) + -2*3/(-33). What is the closest to -1 in a, v, -0.05?
a
Let l = 0.1 + -0.2. What is the nearest to l in 0.2, 0.5, -0.3?
-0.3
Let g = -1 + 2. What is the nearest to 1 in 0.1, g, 4/3?
g
Let k(z) = z**3 + 13*z**2 + 5*z + 9. Let g be k(-12). Let f = 557/6 - g. Which is the closest to -2? (a) -2/15 (b) f (c) 0.4
b
Let w = 0.09 + -0.59. Which is the closest to -0.1? (a) w (b) -3 (c) 1
a
Let v be 18/12 + 0 + -2 + 1. Let l(d) = 2*d**3 - d**2 - d. Suppose 3*b + 5 = -2*b. Let p be l(b). What is the nearest to 3 in v, -2/7, p?
v
Let i = -0.32 - -0.22. What is the closest to 0.5 in i, 1/2, 1?
1/2
Let f = -0.06 + -1.94. Let b = 0.4 - 0.4. What is the closest to b in 0.3, f, 0.5?
0.3
Let n be 6/4*(-2)/(-9). Let k = -1 - -1.4. Which is the closest to n? (a) -5 (b) -2 (c) k
c
Let o = -0.8 + 1. Let m = 9 + -2. Let c = 8 - m. What is the nearest to o in -0.1, 5, c?
-0.1
Suppose -12 = -3*o - 3*r, -3*r + 4*r - 16 = -4*o. Which is the nearest to -1/3? (a) 0.5 (b) -5 (c) o
a
Suppose -25 = x + 56. Let m = -568/7 - x. Which is the nearest to m? (a) -0.1 (b) 1/2 (c) 2
a
Let f = 0.84 - 0.84. Which is the closest to -3? (a) f (b) -2/17 (c) -1
c
Let n = 0.8 + 5.2. Let t = n + -6.1. Let p = -0.8 + 1. What is the closest to t in -3/8, p, -3?
-3/8
Let u be 3/1 - 1547/527. What is the closest to -2/5 in -5, u, -1/6?
-1/6
Suppose -54 = -4*x - 54. What is the nearest to -0.1 in x, -2, -1/6?
-1/6
Let s = -3 + 3.5. Let y = s + 4.5. What is the closest to 2 in y, 1, -1/4?
1
Let h = -0.09 + 0.09. Let k = 0 + h. Which is the nearest to 1/4? (a) 4/5 (b) k (c) -0.5
b
Let p be (-24)/14 - (-4)/(4 - 2). Which is the closest to p? (a) -5 (b) -1 (c) 1
c
Suppose 4*y - 3*j = 3*y + 4, -y + 5*j = -10. What is the nearest to -0.1 in 0.4, 5/3, y?
0.4
Let i = -131/714 - -2/119. Which is the nearest to 1? (a) 2/3 (b) i (c) -2/9
a
Let w = 1 - 1. Let n = w + -3. Which is the nearest to 2/3? (a) 0.3 (b) n (c) -1/5
a
Let x = 5.9 - 6. Let z be (-6 - 2)*(-1)/14. Which is the nearest to x? (a) 1/10 (b) 0.3 (c) z
a
Let p = 0.11 - -4.89. Let f = -0.06 + 0.06. Let r = -333 - -4327/13. Which is the closest to f? (a) r (b) p (c) 2/11
a
Let x = -1.91 + 0.01. Let t = x + 2. What is the closest to t in -1/7, 0.4, 1/10?
1/10
Let q(p) = 11*p + 17. Let l be q(-4). Which is the closest to 0.1? (a) l (b) -5 (c) 0
c
Let s be 1278/(-30) - (-6)/10. Let q be (-2)/s*(-3 + 6). Let x = -0.1 + 0.3. What is the nearest to -1 in -2, q, x?
-2
Let m = 26 - -49. Let r be m/(-10)*6/(-9). Let q = -5 + 4.6. What is the nearest to -0.2 in q, -1, r?
q
Let i be (9/15)/((-54)/(-120)). Which is the closest to 0? (a) -4 (b) -1/5 (c) i
b
Let i = -4 + 4.1. Which is the nearest to i? (a) -5 (b) -2 (c) 2
c
Let g = 21 + -16. What is the nearest to 2 in 1/10, -0.3, g?
1/10
Let d = 4 + 1. Let a = -3 + d. What is the nearest to -2/3 in -0.5, 3, a?
-0.5
Let s = -1122/7 + 160. Suppose 4*c - 16 + 8 = 0. What is the nearest to c in 4, s, 0.3?
0.3
Let h = 37 - 37. Which is the nearest to h? (a) -0.5 (b) 4 (c) -1
a
Let n(l) = 6*l + 1 + 8*l + 0 - l**2. Let g be n(14). What is the nearest to 3 in 2/3, 0, g?
g
Let f = 30 - 59/2. Let o = -19 - -18. What is the nearest to o in f, -4/3, 4?
-4/3
Let a = 4 + -4. Let n be (4/4)/(20/16). What is the nearest to 0 in a, 0.2, n?
a
Let g = -10 - -10. Let c be ((-18)/4 - -2) + 1. What is the closest to g in c, -0.4, -1/2?
-0.4
Let y be (-60)/221 - 40/(-340). Which is the closest to -1/4? (a) y (b) -1/6 (c) 1
b
Suppose -3*q = q. Let z = -20 - -19.91. Let k = 0.19 + z. What is the closest to -1 in q, 3, k?
q
Let d = -14 - -3. Let h be 6/9*3/d. What is the nearest to -2/5 in -2/3, -2/7, h?
-2/7
Let j be (2/(-1) + 7)*-1. Which is the nearest to -2/7? (a) -28 (b) j (c) 3
c
Let y = -138.7 + 139. Let z be ((-4)/3)/((-2)/(-36)). Let u be (2/z)/(3/(-4)). What is the closest to -1 in y, 4, u?
u
Let j be 14/4 + (-2)/(-4). Let r be (0 - j)*(-4)/(-72). What is the nearest to -1 in -0.4, 3/2, r?
-0.4
Let p = 0.2 - 0.1. Let q = 57 + -57. Which is the closest to p? (a) 1/2 (b) q (c) -5
b
Let k = -0.16 + 0.04. Let i = -3.12 - k. Let n = -1/23 + -37/207. What is the nearest to n in 3, 0.1, i?
0.1
Let c(u) = -u**2 - 14*u + 6. Let g be c(-9). Let o = g - 205/4. What is the nearest to -4 in -2, -3, o?
-3
Let p be (1 + 0)*(-1 - (6 + -7)). Which is the closest to p? (a) 0 (b) -7 (c) 0.4
a
Let j be ((-1)/(-4))/(2/268). Let y(x) = x**3 + 8*x**2 - 3*x + 8. Let q be y(-8). Let n = q - j. Which is the nearest to -1/3? (a) n (b) 5 (c) 1/5
c
Let m = 1.7 + 0.3. Let d = -4 + m. Which is the closest to -2? (a) d (b) 4/5 (c) 2/5
a
Let j = 0.2 - -3.8. Let v = 0.1 - 1.1. Which is the closest to -0.1? (a) j (b) -3 (c) v
c
Let x be (-2)/(-3)*9/(-15). Let j = -32 + 32. Suppose 3*g = -2*g - 20. Which is the nearest to 0.1? (a) x (b) j (c) g
b
Let b = 266 - 2928/11. What is the closest to 1 in b, 2, 0.3?
0.3
Let n = -28 + 27.7. Let r be -10 + 12 - 14/8. Which is the nearest to -0.1? (a) n (b) r (c) 0.3
a
Let x be (3 + -2)/(-3) + 0. Let f = 8 - 5. Which is the closest to x? (a) f (b) 0.4 (c) -3
b
Let k = 3.95 + 0.05. Let j = 5 - k. Let f be (-1*(1 + 0))/(-2). What is the closest to 1 in 5, f, j?
j
Let s be (18/60)/((-3)/(-8)). Let o = 0.4 + -0.4. Which is the nearest to -2/5? (a) o (b) s (c) -2/9
c
Let p = 1.2 - 0.7. What is the nearest to 0 in -1, 3, p?
p
Let g be (-2)/(-3)*4/12. Let t = 104 - 522/5. What is the nearest to t in g, 2, 1?
g
Let q = 3 + -5. Let p = -0.17 + -2.83. Which is the closest to 0.2? (a) p (b) q (c) 4
b
Let t = 38 - 37. What is the closest to t in 1/3, 0.1, -7?
1/3
Let x = 8.9 + -8. Let u = x - 1. Let s = 0.4 + u. Which is the closest to -1? (a) -3/2 (b) s (c) -2/13
a
Let o = -110 - -114.7. Let u = 5 - o. Let z = u - 0.3. What is the closest to 1 in 4, z, -2/19?
z
Let d = -8 + 6. Let j = d - -1.8. What is the closest to -1 in j, -4, -1?
-1
Let x = -6.6 - 9. Let t = -16 - x. What is the nearest to -0.1 in 0.5, 0.1, t?
0.1
Let a = 3 + -0.5. Let s = a + -0.5. Let q be (3 - -1)*1/(-6). What is the closest to s in -0.2, q, 1/8?
1/8
Let d = 177 - 176.6. What is the nearest to 0.2 in 1/2, d, -5/2?
d
Let z = 3873 + -3869.059. Let s = 0.041 - z. Let r = s - -4. Which is th | {
"pile_set_name": "DM Mathematics"
} |
**(-3))/(b*b*b*b*b**(-9)*b*b/b**(-1/6)))**(-31))**(-6/13) assuming b is positive.
b**(1457/13)
Simplify ((t**(-16)*t**(-3/8)/t)/((t*t**(-20)*t)/(t/(t/((t*t**(20/7))/t)))))**(-50) assuming t is positive.
t**(-4875/28)
Simplify (((c/(c/(c**6*c)))/c)**(-4/5)*(c/(c/(((c**(-39)/c)/c)/c)*c)*c)/c**(2/137))**27 assuming c is positive.
c**(-865836/685)
Simplify g**(1/7)/g**(-9)*g/((g*g/(g/(g/g**0))*g*g)/g)*((g**(1/4)/g)/g)/g*g**(-1/5)/(g/(g/g**(-9)))*((g*g**(1/2))/g)**(2/33) assuming g is positive.
g**(61091/4620)
Simplify (i**(-4)*i**4*i*(i/i**(-5)*i)/i**(-4))/((i/(i**1*i)*i*i)**(-7))**(46/7) assuming i is positive.
i**58
Simplify ((z**(-1/4)/z*z*z**(2/9))/(z**6/(z*z**(1/7))))/((z**1/z)**20*(z/z**(2/5))**(-1/58)) assuming z is positive.
z**(-178117/36540)
Simplify z**(-1/2)*z/(z**(-2/5)*z)*(z*z**1/z)/((z**(-2/17)/z)/z*z*z)*(z**(2/3)/(z/(z/(z**9*z))))**(40/7) assuming z is positive.
z**(-26681/510)
Simplify ((l*((l**(2/7)/l*l)/l)/l)**(14/5)*(l/((l*l/((l*l**(-1/3))/l))/l))**(8/7))/(((l**1/l)/l*l)**(-23)/(l**(-1/4))**(14/5)) assuming l is positive.
l**(-647/210)
Simplify ((g**(-12)*g*g*g**16*g)/(g**(2/9)/g*g**(-5/6)/g))**(-2/3) assuming g is positive.
g**(-173/27)
Simplify (((t*t**1)/t*t*t)**22/(t**(-1)/(t**6*t)))/(((t**4*t)/(t/t**(-5)))/(t*t/(t/(t*t**(-6))*t)*t/(t*t/(t/(t/t**(8/3)*t)*t))*t)) assuming t is positive.
t**(218/3)
Simplify ((s**(-3)*s)/s**(-6))**(3/26)*(s**(-2/3))**(-1/16)/(s/((s/(s**(-2/17)/s)*s)/s)*(s*(s/(s**6/s))/s*s)/s) assuming s is positive.
s**(29813/5304)
Simplify d**(12/5)*d*d**(-8)/d*(d*d**(8/13))/d*d**1 assuming d is positive.
d**(-259/65)
Simplify ((((g**(-16)*g)/g)/g**(-13))/(g/(g*g*(g/(g**(-1/16)*g)*g)/g*g)*g*g**(-14)))**(-1/38) assuming g is positive.
g**(-193/608)
Simplify (r**(-1/6)*r**0)**4/((((r*(r/r**(3/7)*r)/r)/r)/(r*r**(-3/4)))/((((r*r*r*r**(-2)/r*r*r)/r)/r)/(r*r**5))) assuming r is positive.
r**(-587/84)
Simplify ((c**(-1))**22)**(-4/15)/((c**0)**(-2/13)/(c**6/c*c**5)) assuming c is positive.
c**(238/15)
Simplify ((v/v**37)/(v**(-2)/v*v))/((v*v**(-2))/v**15) assuming v is positive.
v**(-18)
Simplify ((f**1)**(-16)/(((f*f/(f*f**(-1)))/f)/(f*f*(f/f**(1/15))/f*f)))/((f**(-4/5)/f*f/(f/f**5))/(f**(-7)*f**(-2/11)*f)) assuming f is positive.
f**(-3869/165)
Simplify (v/(v**(2/7)*v))**(-32/7)*(v**0/v)**(-1/8)*(v**(-5)/((v*(v**(3/7)/v)/v*v)/v))**(-2/163) assuming v is positive.
v**(94915/63896)
Simplify (v*v*v*v**5*v*v*v/(v*v/(v/((v*v**(-8))/v)*v)*v)*(v/(v**(1/4)*v)*v)**(2/63))/((v**2)**(-2/115)/(v**(2/9))**(-22)) assuming v is positive.
v**(190829/14490)
Simplify (p**(3/5)*(p**(-3)*p)/p*p*(p**14*p)/p*p*p/(p/p**37)*p)**12 assuming p is positive.
p**(3096/5)
Simplify ((b/b**(-9/7)*b)/(b**(14/5)*b)*b**5*b**25)**(3/4) assuming b is positive.
b**(774/35)
Simplify (b/(b**3/b)*b*b/(b**(1/5)*b))/(b*b**(2/5))**3*(b**(1/4)*b*b)/(b/b**0*b*b)*(b**(2/3))**(-9/5) assuming b is positive.
b**(-127/20)
Simplify ((r/r**20)/r**4*(r/(r/(r**(-8/7)*r)*r))/(r*r**(-5)))**(-34) assuming r is positive.
r**(4794/7)
Simplify (((g**1/g)/g*g)/((g**(-3/8)/g)/g))**46/((g**(-1))**(14/13)*g**(-2/17)/(g/(g/g**(2/13)))) assuming g is positive.
g**(97769/884)
Simplify (((u*u**(-2/21)*u*u*u**(-8))/((u**1*u)/(u**8/u)))**(-2/127))**(-3/10) assuming u is positive.
u**(-2/4445)
Simplify (n**(1/2)*n*n*(n*n/n**(-2/5))/n*n*n)/((n*n**2)/n*n*n/(n*n*n/(n/(n**(1/8)*n))))*((n**(2/3))**(3/38))**18 assuming n is positive.
n**(4539/760)
Simplify ((x/x**(-2/7))**10)**(-22/7)/(x**4*x*(x*x**(-4))/x)**(5/14) assuming x is positive.
x**(-3995/98)
Simplify ((q*q**11/q*q**6*q*q*((q/q**4*q)/q*q)**(-23))**(-42))**42 assuming q is positive.
q**(-114660)
Simplify (g**3/g)/(g/(g*(g*(g/g**(-4))/g)/g))*g**(-4/9)/(g/(g*g**0/g))*((g*g/g**0)/g)**(-24)/(g**(-1/3))**(-23) assuming g is positive.
g**(-244/9)
Simplify (((k*k**(-2/9))/(k/k**(-2/5)))/(k**(-1)*k*k*(k/(k**(-3)/k))/k*k))/(k**(-3)*k/(k**5/k*k))**(-7/8) assuming k is positive.
k**(-4589/360)
Simplify (k*k**2)**(3/26)*(k/k**9)/k**(-7)*(k/k**(-2/3))**32*k**(-7)*k/k**(-1/4) assuming k is positive.
k**(7321/156)
Simplify ((k/((k**(-18)/k)/k))/k**5*k**26*k*k**(-14))**(2/41) assuming k is positive.
k**(58/41)
Simplify ((y/y**(-4/7)*(y/y**(-5/8)*y)/y*y*((y/((y/(y**(1/3)/y))/y))/y)**(-3/4))**50)**(-2/43) assuming y is positive.
y**(-6575/602)
Simplify q**40*q*q**(-14/9)*q*q**(2/15)*(q/(q**47/q))/q assuming q is positive.
q**(-244/45)
Simplify ((j**(1/28)/j**4)/(j**(-22)*j**(-2/37)))**(-6/11) assuming j is positive.
j**(-56223/5698)
Simplify (d**(27/2)/d*d*d**(-25))/((d*d**12*d)/(d*(d**42/d)/d)) assuming d is positive.
d**(31/2)
Simplify (y/y**31)**25/(((y**34/y)/y)/(y**(-7)*y*y)) assuming y is positive.
y**(-787)
Simplify ((z**9*z*z*z*z/(z/(z**(-30)*z)))/(z*z**8*z)**15)**(7/11) assuming z is positive.
z**(-1169/11)
Simplify (((h**(-4)/(h**(-4)*h))**47)**(-3/14))**(-30) assuming h is positive.
h**(-2115/7)
Simplify (((g*g/(g/g**(-6)*g)*g)/g*(g*g**(-9)*g*g)/g*g)/(g**(1/2))**(-34/5))**(-29) assuming g is positive.
g**(1247/5)
Simplify (g**(1/2)*g**(-4)*(g*g/(g/g**(-1/4)))**(-8/3))/(g/(g/(g/g**(1/2)))*g**(2/21)*(g/g**(1/4))**(1/2)) assuming g is positive.
g**(-1087/168)
Simplify ((t/(t/(t*t**(2/5)/t)))**(10/13))**(-14/5)/((t**(-1))**(-4/7)*t**(4/7)*t*t/t**(3/10)) assuming t is positive.
t**(-3371/910)
Simplify (c**0)**(-7/8)*(c*c/(c*c*c**2*c))/(c/c**(-3))*(c*c/(c/(c*(c/(c/c**4))/c))*c*c/c**(3/4))**(2/25) assuming c is positive.
c**(-13/2)
Simplify x**(-3/2)/x**(2/11)*x**(-1/10)/x*x*x**(-6)*x*x**(2/5)/x*(x*x/(x*(x**(-2)/x)/x))/x*(x/x**(-5))/x**(-3/5) assuming x is positive.
x**(177/55)
Simplify k**15/(k/(k/k**(-3/10)*k*k))*k*k*k**(3/8)*k*k**(-10/11) assuming k is positive.
k**(8697/440)
Simplify (h/(h/h**(-1/4)))**(-1/7)/(h**(1/14)/h*h*h**(-2/15))*(h**(-1/3))**25*(h**(-8)*h)/h**(-4) assuming h is positive.
h**(-1573/140)
Simplify (v*v/(v/(v/(v*v/((v/v**0)/v))))*v)**40/(v**(-1/5)*v*v/v**(2/17))*v**(-4/3)/v**(2/7)*v**(-1)/(v/(v/(v/v**5))) assuming v is positive.
v**(70862/1785)
Simplify (i**(3/14)*i**(1/5))/(i**4/i**(7/12)) assuming i is positive.
i**(-1261/420)
Simplify (((((i/(i*i/(i**2*i)))/i)/i*i)/(i**5/i))/(i*i**(2/7))**34)/(i**(-1/4)*i**(-10))**(-41) assuming i is positive.
i**(-13075/28)
Simplify (g**(1/2)*g*g)**(-1/16)/(((g/((g*(g*g**(3/2))/g)/g))/g)/g**(1/6))*((g**(-1)/g)/g)**(6/7)/((g**8*g)/g**(-1/3)) assuming g is positive.
g**(-6985/672)
Simplify (((h/(h*h**20*h)*h**(-5))**(-17))**(6/25))**0 assuming h is positive.
1
Simplify ((o/(o/o**(2/55))*o)/o**(-1/13)*(o/o**(-33))/((o/((o**(-1/15)/o)/o))/o))**11 assuming o is positive.
o**(14177/39)
Simplify ((b/(b*(b*b/b**3)/b*b*b)*b/b**(-1)*(b/((b*b*b*b/(b**(1/2)/b)*b*b)/b))/(b/(b/b**(-5))))**(-27))**(-3/7) assuming b is positive.
b**(405/14)
Simplify (r**(-2)*r**4*r)/(r**(2/3))**(-3)*((r*r*r**(-4))/(r**9/r*r))**(4/11) assuming r is positive.
r
Simplify (a/a**1)**(-10/13)/(a**2*a*(a/(a**7*a))/a)*(a/a**(-5)*a**(2/7))/(a*((a*a/a**(3/2))/a)/a*a**5) assuming a is positive.
a**(95/14)
Simplify (d/(d*d/((d**(-4)/d)/d)*d))/(d*d**29)*(d**(-8)/d*d)**(2/61) assuming d is positive.
d**(-2334/61)
Simplify ((n**18/(n/((n*n*n*n/n**(1/18))/n)))/((((n**(17/4)/n)/n)/n)/n*n*n**3))**(-1/2) assuming n is positive.
n**(-565/72)
Simplify (y**(-2/11)*y*y/(y/y**1))/((y/(y*y/y**(-1/8)))/y**(-8/7)) assuming y is positive.
y**(1109/616)
Simplify (r**3*r*r**(3/8)/r*r*r/r**(-1/6)*r/(r*r**(-6)))/((r**0)**10/((r**1/r)/r)**(-2/99)) assuming r is positive.
r**(9157/792)
Simplify (g**(-3)/g*g)**(-2/19)/(g**13/(g/g**(8/5))) assuming g is positive.
g**(-1262/95)
Simplify ((p**(1/7)/p)/(p**(-8)*p))**(-3/29)*p/p**3*p**(5/2)*p/(p/p**(-3/4))*p*p*p*p**(-2) assuming p is positive.
p**(93/812)
Simplify v*v**(-5)*v**5*v*(v*v**0*v)**(-1/2)*((v/(v*v**6)*v)/(v/(v**(3/4)*v)))**(-31) assuming v is positive.
v**(531/4)
Simplify (((j**4*j)/j)**(-5))**(-2/9)*((j/((j*j**(-2/3))/j))**10)**4 assuming j is positive.
j**(640/9)
Simplify ((p*p*p**(-1/8)*p*p)/(p/((p*p**(-7)*p)/p))*p**(-2/11)/((p/(p/(p*p**(-7))))/p*p*p))/(p*p/((p*p**0)/p*p)*p*p**(-15)*p)**50 assuming p is positive.
p**(52949/88)
Simplify (m*m/(m**(2/5)*m)*m/(m/(m**(1/2)/m))*(m**(-5/4)*m*m)/(m/m**(1/3)))/(((m/m**(1/2))/(m/m**1))/(m**(-4)*m/m**(-1/7))) assuming m is positive.
m**(-1333/420)
Simplify ((x/(x/(x*x*x**(3/2)*x*x))*x)**(-22/3))**31/(x**(-6)*x/(x*x*x/(x*x**0/x*x)))**(1/35) assuming | {
"pile_set_name": "DM Mathematics"
} |
2 + 1/120*y**6 + 0*y - 1/20*y**5. Give q(3).
8
Let c(l) = l**3 - 4*l**2 - 5. Let o be c(4). Let k be o/((-20)/(-12)) - -16. Suppose 0 = -3*i - k + 4. Let u(b) = -2*b**2 - 5*b - 3. What is u(i)?
-6
Let a(q) = -q**3 - q**2 - 2. Let n be a(0). Let r = -5 - n. Let u(l) = -2*l**3 - 317 + l + 2*l**3 + 321 - l**3 - 4*l**2. Give u(r).
-8
Let m(v) = -v - 7. Let a(u) = u**3 + 3*u**2 - 6*u - 13. Let x be a(-3). Suppose -x*f + 10*f + 15 = 0. What is m(f)?
-4
Let o(j) = 2*j + 5 + 1 - 9*j + 6*j. Let u = 2 + -7. Let s(k) = -2*k - 6. Let x be s(u). What is o(x)?
2
Let q(l) = -9*l**2 + 1975*l + 9 - l**3 - 1975*l. Let k = -14 - -5. Calculate q(k).
9
Let b be (8 + -5)*(1 + 0). Suppose b*h = -5*h + 40. Let m(o) = -o + 7. Determine m(h).
2
Let c(x) = x**2 + 8*x + 9. Let b(i) = -i - 7. Let n be b(-15). Let o(q) = -q + 1. Let p be o(n). Calculate c(p).
2
Let r = 26 + -16. Let s be (-6)/21 + r/(-14). Let x(o) = 2*o**3 + 2*o**2 + o. Determine x(s).
-1
Let w(o) be the second derivative of o**4/12 - o**3 - o**2/2 - 2*o. Suppose -119 = -42*y + 25*y. Determine w(y).
6
Let b(a) = -a + 8*a**2 - 6*a + 3*a - 9*a**2 - 5. What is b(-4)?
-5
Suppose 0 = -4*a - 2*z - 16 + 4, a + 3*z + 13 = 0. Let k be 2*(-2 + 1 + a). Let s(c) = c**2 + 2*c + 5. Give s(k).
13
Let r(l) = l**2 - l - 3. Suppose -17 = -t + 3. Suppose -4*p - p - 15 = -3*c, 2*p + 4*c - t = 0. What is r(p)?
-3
Suppose 3*j + 3*b - 12 = 9, -j = 4*b - 13. Suppose -j = 3*o + 1. Let i be ((-26)/(-13))/((-4)/o). Let z(d) = 8*d**2 + d - 1. Determine z(i).
8
Let u(l) = -6 - l - 5*l + 3*l**2 - 2*l**2. Let k(m) = 2*m**3 - 4*m**2 + 3*m + 3. Let w be k(3). Suppose -7*c - w = -12*c. Calculate u(c).
-6
Let l = 312 + -303. Let s(d) = d**3 - 10*d**2 + 7*d - 9. What is s(l)?
-27
Let c(x) = -3*x - 9. Suppose 0 = -3*g + 2*t - 8 - 14, 0 = t - 5. What is c(g)?
3
Let v(x) be the first derivative of -x**2 - 11*x - 254. Calculate v(-5).
-1
Let u(r) = r - 6. Let b be -10 + ((-10)/(-25))/(1/5). What is u(b)?
-14
Let q(p) be the second derivative of -p**5/20 + p**4/2 - p**3 + 3*p**2 - 20*p. Calculate q(5).
1
Let p(i) be the third derivative of -i**7/840 - i**6/72 + i**5/24 - 5*i**4/24 + 19*i**3/6 - 14*i**2. Let d(s) be the first derivative of p(s). Determine d(-6).
1
Suppose 2*i = -0*i + 4. Suppose -p = -5*s + 2, -p - i = 2*s - 0*s. Let f(c) = c**3 + 2*c**2 - 3*c - 3. Determine f(p).
3
Let d(t) be the second derivative of t**7/840 - t**6/60 + t**4/12 + 31*t**3/6 + 8*t. Let o(u) be the second derivative of d(u). Calculate o(6).
2
Let c(k) be the second derivative of -k**4/12 - 2*k**3 - 5*k**2/2 - 1028*k. Determine c(-10).
15
Suppose 19*y = 1 + 113. Let o(a) = -a**2 + 8*a + 3. Determine o(y).
15
Let j = -37 + 145. Let s(k) = 117 - j + 2*k + 0*k. Give s(-8).
-7
Let a(u) = -u - 21. Suppose -17 = 2*w - 8*z + 5*z, 4*w + 2*z + 42 = 0. Calculate a(w).
-11
Let l(b) = -b**2 + 8*b - 13. Let s(y) = -98*y - 1070. Let k be s(-11). Determine l(k).
-13
Let t(s) be the first derivative of 0*s**2 + 0*s - 1/24*s**4 - 5 - 1/120*s**5 + 4/3*s**3. Let k(q) be the third derivative of t(q). Determine k(5).
-6
Let j be -1*(2 + 6/(-2)). Let k(y) = 64*y**2 + y - 3. Let g(m) = -222*m**2 - 3*m + 10. Let h(o) = -2*g(o) - 7*k(o). Give h(j).
-4
Let u(q) be the third derivative of 0 + 0*q + 7/6*q**3 - 31*q**2 + 1/120*q**6 - 1/12*q**5 - 1/4*q**4. Determine u(6).
7
Let m(x) = x**2 + 191 - x**3 + x**2 + 0*x**2 - 193. Let q be -1*1 - 6*4/(-8). Determine m(q).
-2
Let d(r) be the second derivative of 5/2*r**2 - 19*r + 0 + 1/6*r**3. Determine d(-7).
-2
Let a(n) = n**3 + 6*n**2 + n + 6. Suppose 0 = -3*y - 0 + 6. Suppose i = -0 - y. Let z be i/9 + 52/(-9). Give a(z).
0
Suppose -108*x = 76*x. Let i(o) = 4*o - 1 - 3*o - 5. What is i(x)?
-6
Let m be 37/(-1 - 1 - -3). Let f = -53 + m. Let v = f + 15. Let c(o) = 2*o + 1. Give c(v).
-1
Let l(w) = -2*w**2 + 9*w - 7. Let v(r) = -3*r**2 + 13*r - 10. Let c(p) = 8*l(p) - 5*v(p). Calculate c(5).
4
Let a(y) be the second derivative of y**4/12 + 7*y**3/6 + y**2 - 2*y. Let f be a(-7). Let i(t) = 0 - 11 - t**2 - t + f*t**2. What is i(0)?
-11
Let d be 2*((-11)/33)/((-6)/27). Let p(c) = c**2 + 3*c + 3. Give p(d).
21
Suppose -8*r = 121 + 63. Let c = -24 - r. Let u(a) = -7*a**2. Determine u(c).
-7
Suppose -6*w + 19*w = -10*w. Let c(d) be the third derivative of w*d + 1/12*d**4 + 1/60*d**5 - 5*d**2 + 0 - 1/6*d**3. What is c(-5)?
14
Let o be 2/3 + (-91)/(-21). Let p(a) = -a**3 + 5*a**2 + 6. Give p(o).
6
Let m(o) be the first derivative of -o**2/2 + o + 4. Let x(t) = 3*t**3 - t**2 + 2*t. Let h be x(1). Suppose h*w = -0*w + 16. Determine m(w).
-3
Let y(c) = c**3 - 4*c**2 + 8*c - 2. Suppose -2*p + 6 = -0*p. Give y(p).
13
Let u(t) = -t**2 - 4*t. Let a(d) = 2*d**2 + 3*d - 3. Let c be a(-3). Let b be ((-4)/c)/((-8)/(-60)). Let v = -9 - b. Give u(v).
0
Let o(d) = -d**3 + 3*d**2 + 4*d - 3. Suppose -3*j + 270 = 5*h, 5*h - 155 = j + 115. Let p = 58 - h. Calculate o(p).
-3
Let m = -88 + 75. Let u(j) = j**2 + 13*j - 5. What is u(m)?
-5
Let n(c) = 31*c**2 + 14*c. Let l(r) = -11*r**2 - 5*r. Let o(g) = 17*l(g) + 6*n(g). Let m = -2 - 2. What is o(m)?
-12
Let f(j) = -3*j**2 - j - 2. Let b(d) = -20*d**2 - 3*d - 7. Let r(s) = -b(s) + 4*f(s). Calculate r(-1).
8
Let i(p) = 2*p + 1. Let o be 2 - (-2 + (-1 - -2)). Suppose -o*z + 3*c = -8*z - 3, 0 = -2*z - 3*c + 6. Give i(z).
-5
Suppose 0 = -2*v - 0*v + 6. Suppose v*j = -4 - 2. Let r(t) = -8*t + 2. What is r(j)?
18
Let h(t) = t**2 + 7*t - 6. Let z(k) = k**3 + 6*k**2 + 6*k - 3. Let v be z(-5). What is h(v)?
2
Let h(j) = -j**3 + 6*j**2 - 6. Suppose 2*r - 7 = 3*m + 2*m, 0 = m + 2*r - 1. Let u = m - -7. Give h(u).
-6
Suppose 24 = 3*z + 5*z. Suppose z*h + 14 = -5*q + 5, 0 = q - 3*h + 9. Let n(y) = -2*y + 1. Determine n(q).
7
Let g(b) be the first derivative of 3*b**2 + 1 - 1/3*b**3 - 3*b. Let a be (-147)/(-51) - ((-224)/(-119) - 2). Calculate g(a).
6
Let v(k) = 2*k**2 + 5*k + 3. Let j = 74 - 72. Suppose -4*s - 7 = 5*i, j*s + 5*i + 4 = -s. Calculate v(s).
6
Let c(d) = 4*d - 5. Let l = 228 - 226. What is c(l)?
3
Let u(v) = -15*v**2 + 14*v - 7. Let k(n) = 2 - 2 + 39*n - 32*n - 7*n**2 - 3. Let x(o) = -13*k(o) + 6*u(o). What is x(8)?
5
Let c(a) = -3*a + 4. Let v(y) = -2*y**3 - 15*y**2 + 5*y - 15. Let b(z) = -z**3 - 7*z**2 + 3*z - 8. Let i(q) = 5*b(q) - 2*v(q). Let s be i(-6). Determine c(s).
16
Let p(y) = -y**2 + 9*y - 9. Let m = 21 - 21. Suppose m = k + f - 5, -4*k + 0*k + 17 = 5*f. Determine p(k).
-1
Suppose -29*q = -10*q. Let k(u) = -u**3 + 2*u**2 - 3. Determine k(q).
-3
Let t(c) = 5*c**3 - c**2 - c - 11. Let b(p) = -p**3 + p + 3. Let z(x) = -4*b(x) - t(x). Calculate z(-2).
17
Let y(c) = c + 5. Let q be (-250)/175*14/4. Determine y(q).
0
Let b = -398 + 390. Let j(d) = -d**2 - 7*d + 13. Give j(b).
5
Let d(z) = -2*z**2 - 5*z + 1. Suppose 4*b - 4 = l, 5*b - 9 - 17 = -4*l. Suppose 0 = -2*c + 6, -22 = -0*g + 4*g - b*c. Determine d(g).
-11
Let f be (3 + -4)*(-4 + 6). Let c(y) = -y**2 - y - 1. Give c(f).
-3
Let l(y) be the first derivative of -y**7/840 + y**6/360 - y**5/40 + y**4/12 - 5*y**3/3 - 5. Let o(z) be the third derivative of l(z). Calculate o(2).
-8
Let d(j) = -4*j + 2 + 107*j**2 - 105*j**2 + 9*j. Calculate d(-4).
14
Let y(h) = -5*h**3 + h. Let o(p) = -p**3 + 9*p**2 - 7*p. Let j be o(8). Let g = j - 9. Determine y(g).
4
Let q(x) = 3*x**2 - 24*x + 3. Let v(y) = -y**2 + 2*y. Let j(h) = -q(h) - 5*v(h). Calculate j(-9).
33
Let a(b) = 9. Let n(g) = -4. Let x(t) = -3*a(t) - 7*n(t). Let w(o) = o + 12. Let z(y) = w(y) - 6*x(y). Determine z(-6).
0
Let p(x) be the first derivative of 3*x**2/2 - 13*x + 650. Determine p(6).
5
Let n(h) = 7*h**2 + 19*h + 22. Let m(a) = a**2 + 2*a + 2. Let u(k) = -6*m(k) + n(k). Give u(-5).
0
Let q(y) = -y**3 - 4*y**2 - 5*y - 2. Let i be q(-3). Let t(b) = -386*b - 375*b + 756*b + 2*b**2. Give t(i).
12
Let m(f) = -5*f - 5. Let z(b) = -2*b**3 + 63*b**2 + 30*b + 62. Let t be z(32). What is m(t)?
5
Let m(f) be the first derivative of f**4/4 + 4*f**3/3 - 5*f**2/2 - f + 51. Give m(-5).
-1
Suppose -2*z = 2*z + 16. Suppose 0 = -j + 4*p - 18, 0 = -0*j + j + 4*p - 22. Let t(u) = -3*u**2 - 7*u**3 + 6*u + j + 11*u**3 - 5*u**3. Calculate t(z).
-6
Let t(j) = -j**2 - 8*j - 7. Suppose 4*p = 5*i - 42, 29 = 2*i - 4*p + 5. Suppose -1 = v + i. Determine t(v).
0
Let r(v) = 8*v**2 - 4*v - 3. Let n(q) = -7*q**2 + 4*q + 2. Let w(c) = 7*n(c) | {
"pile_set_name": "DM Mathematics"
} |
6/(-4)*((-32)/24*-10 + -14)
1
What is ((252/35*2/12)/((-18)/405))/(-3)?
9
What is (1044/(-24))/29 + (294/12 - 6)?
17
(1665/(-10) + 39)*(17/(-12) - 45/(-60))
85
Calculate 42 + 0 - (9761 + -9821).
102
What is the value of ((-30)/(-8))/((-2220)/24864)?
-42
Evaluate ((-28)/2 + 10*(-45)/50)/1.
-23
What is the value of (170/(-51) - -4)/(6 + (-3892)/651)?
31
What is the value of (-10)/(-110) - (-21038)/(-3454)?
-6
What is the value of -12 + 1 + -111 + -1 + 116?
-7
Evaluate 44 + (-8010)/(-2010) + -48.
-1/67
(-5984)/(-220) + (-513)/19 - 1/3
-2/15
What is the value of 366/20 + ((-12452)/440 - -28)?
18
Calculate -14 + ((-29)/((-5510)/912))/((-1)/5).
-38
Evaluate 4 + (-573)/300 + 0 + 162/(-2304)*32.
-4/25
What is 5*-1*(8 + 1365/(-175)) + (-918)/(-930)?
-2/155
Calculate (-273325)/33640*8/(-30).
13/6
What is the value of 845*(-104)/705744 - 1/(-18)?
-2/29
Calculate ((-1546)/32466)/((-1)/(-6)).
-2/7
Calculate 8 + 66456/(-1562) + (-18)/(-33).
-34
What is the value of (-4)/21*-6*(-1253)/(-537)*-18?
-48
Calculate ((-12)/456)/((-688)/16512).
12/19
Calculate ((-54325)/410 + 134)*(-30)/4.
-45/4
What is (-8064)/416 + 1832/(-2977)?
-20
What is 4656/(-16005)*22/(-8)?
4/5
What is the value of 107586/(-567815)*(-20)/(-6)?
-12/19
21 + (-20048)/840 - 10/75
-3
What is the value of (71 + (-154814)/2170)*(470/44 + 4/(-22))?
-18/5
What is 3366/42 - 19053/261?
50/7
What is the value of (-68)/(-45) - 4/6*19224/8544?
1/90
What is the value of 0 - 29 - (-2950)/1400*28?
30
Evaluate (-82)/(-1845) - (-1589)/(-315).
-5
Evaluate ((-7382)/18455)/(0 + 39/15).
-2/13
What is the value of 40442/(-3878)*(3 - -4)?
-73
Evaluate ((-308)/42 - -7)/(234/(-36)).
2/39
What is the value of 14832/(-4326)*(-21)/342?
4/19
2/17 + -81 + (-18522)/(-357)
-29
48 + 25 + 2904/(-40)
2/5
What is the value of ((-20)/(-312))/((-67380)/(-111177) - (0 - (-6)/22))?
5/26
Calculate (872/(-654))/(-2*2/(-42)) - (6 - -2).
-22
Calculate (-285)/15 + (20 - -9) + 22.
32
Calculate 976/(-4758)*-78 - (-41 - -1).
56
Calculate (27/15 - 1)/(45916/(-470639)).
-41/5
What is the value of (2/(-117))/(23530/(-16290))?
2/169
Evaluate 35/(-665) + ((-5)/45 - 66936/(-383724)).
2/187
Calculate (-2 - -5) + (-83 - (19 - 92)).
-7
What is the value of ((121 - 122)*(11 - 0))/(1/5 + 0)?
-55
Calculate (-118187)/100378*6/(-219).
1/31
What is the value of 1164/53 + (-1704)/(-212) + (-344)/43?
22
What is (4/(-14) + (-200)/280)*0 - -47?
47
Calculate (-60 + 3315/153)*(-18)/15.
46
What is the value of 99/627*19 + (-2 - (-168)/4)?
43
What is -45 + (14 - ((-4)/(-11) + ((-31920)/(-231))/16))?
-40
What is the value of (-19)/(-2)*(113 - (-241845)/(-2185))?
22
(((-32)/(-20))/2)/(-31 + 113855/3675)
-42
What is the value of 76/18 - 4 - (16/54)/(8442/19899)?
-10/21
(-29 - -50)*(-2)/(-9)*765/85
42
(-9 - 13/(-2))*(-23 - (-29905)/1300)
-1/104
What is the value of 5294/142938 - ((-208)/(-27) - 0)?
-23/3
Evaluate (28/168)/(8080/288 - 27).
3/19
What is (((-2)/4)/((-483)/552))/((-115)/1127)?
-28/5
(-66)/(-132) + (-1989)/4290
2/55
Evaluate -1 + 138 + -67 + 13.
83
What is -6 + 31 - 17 - (16775/418)/5?
-1/38
(16236/6765)/((-16)/(-2))
3/10
What is (-6 - (-851)/111)*((-14)/315)/(-1)?
2/27
44/126170*-37*(12/(-72))/((-6)/(-20))
2/279
Evaluate 22610/935 + (11 - 1845/165).
24
What is the value of ((-10)/6 - -1) + ((-884)/(-351))/(1232/336)?
2/99
Evaluate ((-95)/(82 + -2647) + 20/(-54))/((-4)/282).
47/2
What is ((-784)/(-144) + -6)/((-4370)/(-276))?
-2/57
(-27)/(-12)*(-4)/((-1116)/(-155))*(-144)/130
18/13
Evaluate -142 - (-1794)/39 - (-17 + -3).
-76
(34/(-10) + -14 + 246/15)*(-2)/11
2/11
Evaluate (-9030)/(-8127) + -6 + 826/(-9) + 8/12.
-96
What is (0 + 3 - 0) + 34 + 75 + -108?
4
(-1074)/120 - (540/(-450)*15/2)/1
1/20
What is ((38 + 5880/(-150))*(-5)/9)/(26/429)?
11
(-90)/(-63) + ((-1642120)/19040)/61
1/68
Calculate (137 + 54760/(-592))/((-1)/2).
-89
(-4)/14 + 35/(-49) + (-863 - -778)
-86
What is (1264/(-6))/(-8) + -836 + 805?
-14/3
What is the value of -1 + (-19 - (-10 + -15)) + -51?
-46
What is the value of 10 + (-1 + -1 - -12) - (-129 - -197)?
-48
What is 2480/(-118) - (9 + (-52 - -22))?
-1/59
3002/64 - (-46 - 1469/(-32))
47
Evaluate (-3 - (-9)/((-180)/(-58)))*(1 + (0 - -7)).
-4/5
(-306)/(-272)*(-8)/(-144)
1/16
((-297)/77)/(12*(-30)/10920)
117
Evaluate (110/(-13))/(9348/(-60762)).
55
Evaluate (-6)/5 - ((-50116)/(-495))/(-134).
-4/9
-5634*(-96)/(-41472) - (0 - 13)
-1/24
Evaluate (10 - (1 - 18)) + -8.
19
Evaluate (577 - 471)*(-1850)/(-1325).
148
Calculate (-3)/(-8) + 6*329/(-272) + (-246)/2091.
-7
What is the value of (52/3878)/(59254/31906)?
2/277
What is (2/5)/(28*(-3135)/1596)?
-2/275
(-7 + 11)/((-7753 + -17)/21)
-2/185
(-1 + -3)/(92 + -99) - (-285)/(-21)
-13
What is the value of ((-70)/(-7))/((-1620)/(-198) + -8)?
55
Evaluate -29 + 2/91 + 28726/9646.
-26
Calculate (((-2652951)/532)/(-183))/((-7)/28).
-109
(-1206)/(-360) + 387/430
17/4
What is ((155520/297)/15 + (-20)/22)*(-3)/2?
-51
What is (4/24)/(155/((-2790)/456))?
-1/152
What is 280/(-15) - 127/(2921/(-345))?
-11/3
Evaluate (65 + (-76925)/1190)*(-24)/(-10).
6/7
Evaluate (1 + (-177)/(-15))*(690/276)/((-4)/8).
-64
What is the value of (-7062)/264 - (-2580)/688?
-23
What is (-133164)/3024 + (-3)/(-84)?
-44
-36 + (-851)/(-37) + -30
-43
-68 - (-18 - 65520/1305)
6/29
(57 + -64)*64/(-84)
16/3
What is the value of (455/(-300) + 424/265)*(-3)/2?
-1/8
What is (6/(-11) + -3 + (-3705)/165)/(4/2)?
-13
What is 5/(30/28)*(-23184)/13524?
-8
Evaluate (-3 - (-5)/1) + 42/(-27) - (18 - 18).
4/9
Calculate ((-87381)/3577 - (-1 + -18))/(10/(-14)).
38/5
-11*69/253 - -30
27
What is (24955/124)/35*-4?
-23
Calculate (-325846)/(-3056) - 530/5.
5/8
What is the value of (-3)/10*8660/(-184458)?
1/71
What is the value of (24 + -6)/(462/770)?
30
Evaluate 17775/158 + 14 + -119.
15/2
6/(-9)*(-57)/608*(9 - (-5005)/(-561))
1/204
(-182)/225 - (3006/334 - (148/25 - -3))
-8/9
Calculate (-7797)/(-345) - 216/(-40)*-5.
-22/5
What is (-2)/(-5)*116*(-300)/(-146160)?
2/21
What is the value of (-98268)/18102*(-7)/2?
19
Calculate 19/304*-2*(-2 + (-264)/(-138)).
1/92
Evaluate ((-6)/30 + (-48)/(-15))*37/((-1998)/612).
-34
What is 110 + (-697680)/6345 + 3/((-141)/(-4322))?
92
What is the value of 0 - 6/(-96) - ((-29229)/816 + 114/(-969))?
36
Evaluate 12/(-12) - (-816)/68.
11
Calculate 15*(-8)/120*28.
-28
Evaluate (40/29)/(5478/(-158862)).
-40
Calculate (73/438*3/6)/((-300)/96).
-2/75
46/(-36) - (-628)/(-760194)*269
-3/2
Calculate 40/(-2 + 0)*((-5451)/395 + (-2 - -17)).
-24
What is the value of 412248/(-46320) - (1/(-7))/(10/(-7))?
-9
Calculate (57/36)/(639/15336).
38
(5*28/(-7350))/(-2*(-45)/(-126))
2/75
What is the value of (-1254)/3325*-15 + 62/1085?
40/7
4/(-218) + 1042510/61258
17
Evaluate (-118 - (-163647)/1386)*2.
1/7
Evaluate (37/(-2))/((-12)/21) - (-387)/(-1032).
32
What is 23320/(-3392)*2/10*16?
-22
What is 76 - (-84 + 163) - (7 - (-9)/6)?
-23/2
Evaluate (8/12)/(5/((-4995)/(-74))).
9
What is (36/(-54))/(14/21)?
-1
What is the value of ((3 + -5)*1 + -304)*563/(-1126)?
153
What is (-1 + 72/(-9) + 12)*41?
123
(60 - 63) + -46 - -76
27
Evaluate (-50760)/(-2256)*(-16)/9.
-40
Evaluate (1 + 26/(-30))*((-6280)/(-80) - 78).
1/15
What is the value of (-261)/54 + 7/(-42) + (-1302)/(-147)?
27/7
Evaluate 3639/66715*33/(-54)*-2.
1/15
What is the value of -8 + (52/468*36 - 34/(-3))?
22/3
What is 269216/4982 + (-3 - 1413/(-477))?
54
Evaluate ((-33080)/560 + 58)/(1320/(-84)).
3/44
What is the value of 2/78*(-68)/((-16592)/1586)?
1/6
Evaluate 10/(-6)*((-73665)/(-1575) + -46).
-9/7
What is 1224/306 - ((-110)/(-11) + 1)?
-7
Calculate ((-145)/(-87))/(150/(-270)).
-3
Evaluate (-1836)/816*(-12 - 2240/(-42)).
-93
What is ((-315)/20)/((-153)/(-476))?
-49
Evaluate (-344)/(-7) + (-1 - (5/(-40) + (-615)/840)).
49
What is the value of (12/(-30) - (-21)/15)*(-341 + 273)?
-68
(446/36 - (-596)/(-447)) + -1 + -10
1/18
What is (-6)/(-15)*369250/(-2110)?
-70
What is the value of 106/(-53) + 27 + 15?
40
What is the value of 945/2205*476/(-323)?
-12/19
What is 12744/7434 + 514/(-308)?
1/22
12873/99 + 7 - (-584)/(-19272)
137
What is ((-320)/(-136))/((-6)/72*-16)?
30/17
What is (-260 + 84 - -178)*(-2)/(-18)?
2/9
What is the value of -97 - -94 - (4 - (-15 + -4))?
-26
What is -20 - (-1526)/77 - (6/(-8) - 11871/(-2772))?
-26/7
1893/(-115473) + 2866/(-61)
-47
Calculate 12357/951 - (((-8)/(-4))/2)/( | {
"pile_set_name": "DM Mathematics"
} |
7 rounded to 6 decimal places?
0.00044
What is -0.706795 rounded to 2 dps?
-0.71
What is 5268153 rounded to the nearest 1000000?
5000000
Round 0.19057401 to 2 decimal places.
0.19
What is -14064690 rounded to the nearest one hundred thousand?
-14100000
What is 0.000009685365 rounded to 7 decimal places?
0.0000097
Round 99896.7 to the nearest one thousand.
100000
What is -389956 rounded to the nearest 10000?
-390000
What is 20.811549 rounded to two dps?
20.81
What is 0.5328148 rounded to 3 dps?
0.533
What is 0.303481 rounded to two decimal places?
0.3
What is -123.3683 rounded to zero decimal places?
-123
Round 0.0007576106 to 7 dps.
0.0007576
Round -0.00033388588 to seven decimal places.
-0.0003339
Round 0.00314943 to 5 decimal places.
0.00315
What is 31859.6 rounded to the nearest ten thousand?
30000
What is 0.00331108 rounded to 3 dps?
0.003
What is -46.352568 rounded to 0 decimal places?
-46
Round -28852.686 to the nearest one hundred.
-28900
What is 2472510.6 rounded to the nearest one million?
2000000
Round 0.3606741 to 1 dp.
0.4
Round -449.53907 to the nearest integer.
-450
What is 112334 rounded to the nearest one hundred?
112300
What is 1267261 rounded to the nearest 100000?
1300000
Round 0.00000041797856 to seven decimal places.
0.0000004
What is -750.195 rounded to the nearest 10?
-750
What is -301832 rounded to the nearest 10000?
-300000
Round -0.00015655276 to five dps.
-0.00016
Round 906192.6 to the nearest one hundred.
906200
What is -6411.8814 rounded to the nearest one thousand?
-6000
Round 0.0288615 to 2 dps.
0.03
What is -3115.9 rounded to the nearest one hundred?
-3100
What is 0.000162968 rounded to 5 dps?
0.00016
Round -76.92314 to 1 dp.
-76.9
Round -0.0267836 to two dps.
-0.03
Round 6034010 to the nearest one million.
6000000
What is 2544038.5 rounded to the nearest 100000?
2500000
Round -788.27 to the nearest 10.
-790
Round -0.7186393 to four dps.
-0.7186
Round -0.0000609736 to 5 dps.
-0.00006
Round 3067 to the nearest ten thousand.
0
Round -447250.92 to the nearest ten thousand.
-450000
Round 0.03086714 to 2 decimal places.
0.03
What is 161329000 rounded to the nearest one million?
161000000
What is 136.1356 rounded to the nearest integer?
136
Round 172441.5 to the nearest one hundred.
172400
What is 0.0051964 rounded to 4 decimal places?
0.0052
What is -277170500 rounded to the nearest 100000?
-277200000
What is -1875617 rounded to the nearest one hundred thousand?
-1900000
What is -1574416 rounded to the nearest one thousand?
-1574000
What is -41671.07 rounded to the nearest 1000?
-42000
Round 2174629 to the nearest ten thousand.
2170000
What is -0.005724297 rounded to four dps?
-0.0057
Round -621.604 to the nearest integer.
-622
What is 1744.748 rounded to the nearest integer?
1745
Round 375662 to the nearest one thousand.
376000
Round -446858 to the nearest 10000.
-450000
What is 5594.16 rounded to the nearest one hundred?
5600
What is -329.056 rounded to the nearest 10?
-330
What is -385333.7 rounded to the nearest ten thousand?
-390000
What is 1.204003 rounded to 3 decimal places?
1.204
What is -0.03999817 rounded to two dps?
-0.04
What is -4.67858 rounded to one decimal place?
-4.7
Round -0.000272483 to four decimal places.
-0.0003
What is 0.1375609 rounded to 3 dps?
0.138
What is -822424110 rounded to the nearest 1000000?
-822000000
Round -9073347.5 to the nearest 1000000.
-9000000
What is -0.00016046174 rounded to seven decimal places?
-0.0001605
What is -398.12 rounded to the nearest ten?
-400
Round 0.000581756 to six dps.
0.000582
Round -991.47 to the nearest one hundred.
-1000
Round 3.277146 to two dps.
3.28
What is -2.026199 rounded to 3 dps?
-2.026
Round 0.000001250558 to six decimal places.
0.000001
Round 462593 to the nearest one hundred thousand.
500000
What is 0.0000369678 rounded to 7 decimal places?
0.000037
What is 36.638651 rounded to the nearest integer?
37
Round -55.292906 to 2 decimal places.
-55.29
Round 3974.332 to zero dps.
3974
What is 100450 rounded to the nearest ten thousand?
100000
What is -0.00003913049 rounded to 5 decimal places?
-0.00004
What is -0.0000000815 rounded to seven dps?
-0.0000001
Round -0.0000033295 to seven decimal places.
-0.0000033
What is 17.50731 rounded to two decimal places?
17.51
What is 197.7471 rounded to 0 dps?
198
Round 0.000452894 to five dps.
0.00045
Round 73.95859 to the nearest ten.
70
Round 0.011127163 to 5 dps.
0.01113
Round -1504307.5 to the nearest 10000.
-1500000
Round 94515.04 to the nearest one thousand.
95000
Round -1.564813 to zero decimal places.
-2
Round -27934070 to the nearest 10000.
-27930000
What is -634.486 rounded to the nearest 100?
-600
Round -0.01699563 to five decimal places.
-0.017
Round 0.09634483 to 5 decimal places.
0.09634
What is 38042.9 rounded to the nearest one thousand?
38000
What is 11.963444 rounded to three decimal places?
11.963
Round 0.0000024149 to seven dps.
0.0000024
Round -189010500 to the nearest one hundred thousand.
-189000000
What is -96.098 rounded to the nearest ten?
-100
Round 0.01100426 to 5 dps.
0.011
What is 0.00005113335 rounded to five dps?
0.00005
Round -0.015119956 to 5 decimal places.
-0.01512
Round 14513760 to the nearest 10000.
14510000
Round -1686124 to the nearest 10000.
-1690000
What is 0.008384986 rounded to 3 decimal places?
0.008
What is 0.0080013 rounded to 3 decimal places?
0.008
What is 12611280 rounded to the nearest one million?
13000000
What is -14.75547 rounded to two dps?
-14.76
Round -109.8514 to one dp.
-109.9
What is -1361.493 rounded to the nearest 100?
-1400
What is 648.898 rounded to zero decimal places?
649
Round -8.82718 to two dps.
-8.83
Round 46837240 to the nearest one hundred thousand.
46800000
Round 15.4131 to the nearest integer.
15
What is -298980 rounded to the nearest 10000?
-300000
Round -0.00001969604 to 6 dps.
-0.00002
Round -383045300 to the nearest one hundred thousand.
-383000000
What is -3.513035 rounded to the nearest integer?
-4
Round -0.54769262 to four decimal places.
-0.5477
Round 0.0000515643 to 6 decimal places.
0.000052
Round 0.00002659296 to seven dps.
0.0000266
Round -4586027 to the nearest 10000.
-4590000
Round -0.000776681 to six dps.
-0.000777
Round 0.0049018 to 2 dps.
0
Round 0.538607 to 1 decimal place.
0.5
What is 0.296334 rounded to two dps?
0.3
What is -3538.075 rounded to the nearest ten?
-3540
Round -37.99494 to the nearest integer.
-38
Round 0.0000210714 to 5 decimal places.
0.00002
What is -0.163939 rounded to 3 dps?
-0.164
What is 0.0008286116 rounded to four dps?
0.0008
Round 20384073 to the nearest 1000000.
20000000
What is -25863726 rounded to the nearest 1000000?
-26000000
What is -0.475698 rounded to three decimal places?
-0.476
Round 0.0026115247 to 4 dps.
0.0026
What is -32677550 rounded to the nearest ten thousand?
-32680000
Round 0.00000302939 to 6 decimal places.
0.000003
Round -27742.49 to the nearest 10000.
-30000
What is 0.0001363589 rounded to five dps?
0.00014
What is -0.017880837 rounded to two decimal places?
-0.02
Round 422027.1 to the nearest one hundred thousand.
400000
Round 12491400 to the nearest 100000.
12500000
Round 15409.984 to the nearest ten.
15410
Round -851.579 to one dp.
-851.6
What is 1149673.1 rounded to the nearest 100000?
1100000
What is -0.0304762 rounded to 2 decimal places?
-0.03
What is 186774400 rounded to the nearest 100000?
186800000
Round 0.0686811 to three dps.
0.069
What is 522.4259 rounded to the nearest 100?
500
Round 0.0000927083 to 7 dps.
0.0000927
What is -20525.62 rounded to the nearest 100?
-20500
What is 10879917 rounded to the nearest ten thousand?
10880000
What is 47.06735 rounded to 0 dps?
47
What is -2.1675553 rounded to one dp?
-2.2
Round 14.378913 to 1 decimal place.
14.4
What is -43.96212 rounded to the nearest ten?
-40
What is 0.2204618 rounded to three dps?
0.22
Round 552722000 to the nearest 1000000.
553000000
Round -13043253 to the nearest 10000.
-13040000
What is -3899440 rounded to the nearest one million?
-4000000
Round -0.0041741006 to 3 decimal places.
-0.004
What is -849601.18 rounded to the nearest one hundred thousand?
-800000
Round 1711680 to the nearest 10000.
1710000
Round -46000.61 to the nearest 100.
-46000
Round -0.002938557 to 5 dps.
-0.00294
Round -0.000409 | {
"pile_set_name": "DM Mathematics"
} |
**3 - 1360*b*r**2 + j + 19*r**3 wrt r.
-18*b*j - 1818*b + 114
What is the third derivative of 2*d**5 - 13872*d**3 + 29*d**2 - 2*d - 12 wrt d?
120*d**2 - 83232
Differentiate 329*q**2 + 976*q + 65573.
658*q + 976
What is the third derivative of -65647*o**3 + 39366*o**2?
-393882
Find the second derivative of 2*t**3*z**2 - 80*t**3*z + 406*t*z**2 + 24*t*z - 8*z**2 + 5*z wrt z.
4*t**3 + 812*t - 16
Differentiate -i**2*o**2 + 36337*i**2 - i*o**2 - 162759*o**2 wrt i.
-2*i*o**2 + 72674*i - o**2
Find the second derivative of 296*c**4 - 14*c**3 + 16182*c wrt c.
3552*c**2 - 84*c
What is the second derivative of -w**4 + 175156*w**2 - 70270*w - 10?
-12*w**2 + 350312
What is the first derivative of -55810*z - 32816?
-55810
Find the second derivative of -98821*g**2 + 35*g + 3243 wrt g.
-197642
Find the third derivative of -5631*v**6 - 4*v**2 - 904*v wrt v.
-675720*v**3
What is the derivative of 153*s**3 + s**2 + 24*s - 90629 wrt s?
459*s**2 + 2*s + 24
Differentiate -k**4 + 1082*k**3 - 58626 with respect to k.
-4*k**3 + 3246*k**2
Find the second derivative of 17800*x**3 + 132*x.
106800*x
Find the third derivative of -20*k**6 - 63601*k**5*o + k**2 - 78*k*o + 7317*o - 1 wrt k.
-2400*k**3 - 3816060*k**2*o
What is the second derivative of 121*l**5 + 1017*l**4 + l**2 + 486065*l?
2420*l**3 + 12204*l**2 + 2
Find the second derivative of -210*n**4 - n**3 + 6*n**2 - 83562*n wrt n.
-2520*n**2 - 6*n + 12
Differentiate 227886*d - 850564 wrt d.
227886
What is the third derivative of 2*i**3*l**2*w**2 + 116*i**3*w**3 - 62*i**3*w**2 + 3*i**2*w**3 - 2*i*l**2*w**2 + 109*l**2*w**3 - 5*l**2*w**2 wrt w?
696*i**3 + 18*i**2 + 654*l**2
What is the third derivative of 2943470*z**4 + 3*z**2 - 460*z + 68 wrt z?
70643280*z
What is the derivative of 3126341*v**2 + 2007511 wrt v?
6252682*v
What is the third derivative of 66*s*t**6 + 44*s*t**4 - 8*s*t - 11*s - 26*t**2 wrt t?
7920*s*t**3 + 1056*s*t
Find the third derivative of -153*l**4 - 3632*l**3 - 13041*l**2 + 30*l + 1 wrt l.
-3672*l - 21792
Find the first derivative of 430086*t*x**2 - 7910*x**2 + 6*x - 2 wrt t.
430086*x**2
Differentiate 558*a*r**3 + 3*a*r**2 - 2*a*r + 319248*r**3 wrt a.
558*r**3 + 3*r**2 - 2*r
What is the third derivative of -2*a**5*k - 2*a**3*k + 29589*a**3 - 107*a**2 + 239*a*k + 3*a wrt a?
-120*a**2*k - 12*k + 177534
What is the second derivative of -97094*i**3*w**3 + 2*i**3*w - 12*i*w**3 - 18*i*w**2 + 3*w**3 - 3*w**2 wrt i?
-582564*i*w**3 + 12*i*w
Find the third derivative of 50508*l**2*n**3 + 17*l**2 - 1284*l*n**2 + 2*n**3 wrt n.
303048*l**2 + 12
Find the second derivative of -n**3 - 1311404*n**2*w - 31644*n*w - 7*n wrt n.
-6*n - 2622808*w
Find the first derivative of -100*c*d**2*i + 34*c*d**2 - c - 5*d**2*i - 70575*i - 2 wrt d.
-200*c*d*i + 68*c*d - 10*d*i
Find the third derivative of 855*a**6 - a**5 - 4*a**4 + 5*a**2 - 36*a - 10.
102600*a**3 - 60*a**2 - 96*a
Find the second derivative of -236*q**3 - 76*q**2 - 2455*q - 5 wrt q.
-1416*q - 152
What is the third derivative of -g**5 - 1382*g**4 - 4*g**3 + 18273*g**2 - 2*g + 3?
-60*g**2 - 33168*g - 24
Find the second derivative of 18085*w**4*y - w**2*y + 671*w*y - 2*y + 29 wrt w.
217020*w**2*y - 2*y
Differentiate -12611*a*c*o - 3*a*c + a*o + 2*c*o + 8*c - o + 1643 wrt a.
-12611*c*o - 3*c + o
Find the first derivative of 16652*l**3*t*z - 57592*l**3*z wrt t.
16652*l**3*z
Find the second derivative of -4*o**2*t**3 - 7564*o**2*t + 70*o*t**2 - 59*t**3 - t wrt o.
-8*t**3 - 15128*t
What is the first derivative of -314*d**3 + 6*d**2 + 11*d + 676082 wrt d?
-942*d**2 + 12*d + 11
Find the first derivative of 1076*o**2*y**2 + 31*o**2*y + 8*o + 255968*y**2 + y + 3 wrt o.
2152*o*y**2 + 62*o*y + 8
What is the derivative of 60*f**3*s + 6*f**2*s - f*s - 3*f - 21*s + 15 wrt f?
180*f**2*s + 12*f*s - s - 3
What is the first derivative of -18*q**4 + 2*q**3*t - 251*q*t**2 - 6*t**2 + 6*t + 434 wrt q?
-72*q**3 + 6*q**2*t - 251*t**2
Find the third derivative of 6*b**5 + b**4 - 355*b**3 - 6*b**2 + 120*b + 4 wrt b.
360*b**2 + 24*b - 2130
Find the first derivative of -2550885*h*z**2 - 26254*z**2 - 3 wrt h.
-2550885*z**2
Find the first derivative of -479942*y - 275484.
-479942
What is the second derivative of 25695*d**2*n*r**2 - 2*d**2*n*r + 2*d**2*n + 2*d**2*r**2 + 3*d*n*r + 20*n*r + 2*r**2 wrt r?
51390*d**2*n + 4*d**2 + 4
What is the second derivative of -m**2*r**2*u**3 - 110922*m**2*u**3 - 2*m*r**2 - 99*m + 4*r*u**3 - 61*u**2 wrt m?
-2*r**2*u**3 - 221844*u**3
What is the third derivative of 346289*d**3*f**3 - 178*d**3*f - 10*d**3 + d**2*f**2 - f**2 - 5 wrt f?
2077734*d**3
What is the second derivative of 176837*l**3 - l**2 + 444154*l?
1061022*l - 2
Find the second derivative of 3155*f**4 - 420*f**2 - 350485*f - 1 wrt f.
37860*f**2 - 840
What is the third derivative of 14289*p**6 + 7*p**4 - 50*p**2 - 2928*p - 1?
1714680*p**3 + 168*p
Differentiate -668457*q*u**3*y - 81*u**3*y - 8510*u**2*y wrt q.
-668457*u**3*y
Find the first derivative of -4*b*n**2 + 3*b*n + 3*b*p - 422*b + 629973*n**2*p + 13 wrt p.
3*b + 629973*n**2
Find the second derivative of 1515*a**4 + 47*a**3*h + 48*a*h + 4*a + 112*h - 1 wrt a.
18180*a**2 + 282*a*h
What is the third derivative of 380*k*p**6 + 3*k*p**4 - 11*k*p + 2*k - 29*p**2 wrt p?
45600*k*p**3 + 72*k*p
What is the second derivative of -100*r**4 + 162*r**3 - 362362*r wrt r?
-1200*r**2 + 972*r
What is the third derivative of 1084173*l**4*z + 32*l**2 - 10381*z wrt l?
26020152*l*z
What is the derivative of 94473*k**2 - 1572174 wrt k?
188946*k
Find the first derivative of -g*u**2 + 18*g - 361*u**4 + 336 wrt u.
-2*g*u - 1444*u**3
Differentiate -3672019*d + 4767996 with respect to d.
-3672019
What is the derivative of 5*p**4 - 17*p**3 + 57*p**2 + 3*p - 3553066?
20*p**3 - 51*p**2 + 114*p + 3
Find the first derivative of 845920*m + 3815332.
845920
Find the second derivative of -2663965*m**4 + 2*m**3 + 1525190*m wrt m.
-31967580*m**2 + 12*m
Find the second derivative of -c*p**2*s + 401*c*p**2 - 4*c*p*s - 22*c*p - 2*p**2*s + 35*p**2 + 105*p - 2*s + 3 wrt p.
-2*c*s + 802*c - 4*s + 70
Find the third derivative of 17*m**2*w**3 + 80*m**2*w + 165*m*w**3 - 3*m*w**2 - 2*w**3 - w**2 + 99 wrt w.
102*m**2 + 990*m - 12
What is the second derivative of -7860*m**4 + 3*m**3 - 3*m**2 + 144731*m?
-94320*m**2 + 18*m - 6
Find the third derivative of -873*i**6*n**3 - 214*i**3*n**2 + 2*i**2*n**3 - 2*i**2*n - 503*i*n**2 - n + 2 wrt i.
-104760*i**3*n**3 - 1284*n**2
Find the second derivative of -3*b**5*v - 2*b**2*v**3 - 1106*b**2*v + 2*b*v**3 + 3*b*v**2 + 2*b + 921*v**3 + 8*v wrt b.
-60*b**3*v - 4*v**3 - 2212*v
What is the third derivative of -90957*l**3 + 2*l**2 - 16477*l wrt l?
-545742
What is the second derivative of -3*a**2*y**3 - 482*a**2 - y**3 - 5080*y**2 + 33*y wrt y?
-18*a**2*y - 6*y - 10160
What is the second derivative of 1412664*q**2 - 6*q + 92698 wrt q?
2825328
What is the second derivative of -205873*j**3 - 266851*j wrt j?
-1235238*j
What is the first derivative of -5*i*p**3 - 2316*i*p**2 + i*p + 141152*p**3 - 2 wrt i?
-5*p**3 - 2316*p**2 + p
Differentiate 14*j**2 + 313*j - 158176 wrt j.
28*j + 313
What is the second derivative of -455*h**2 - 5313*h - 3?
-910
What is the second derivative of -7420*r**4 + 35768*r?
-89040*r**2
What is the first derivative of 498*v**2*y**3 - 9*v*y**3 + 4*v*y - 3*y**3 + 2*y**2 + 4956*y + 3 wrt v?
996*v*y**3 - 9*y**3 + 4*y
What is the third derivative of -2*o*p**3 - 172*o*p**2 - 33965*p**3 - 90*p**2 wrt p?
-12*o - 203790
What is the second derivative of 55227*b**3*q*r**2 - b**3*q + 2*b**2*q*r + b**2*r**2 + 113*b**2*r - 41*r wrt r?
110454*b**3*q + 2*b**2
What is the first derivative of 467729*p**4 + 744642 wrt p?
1870916*p**3
Find the second derivative of -158210*o**4 - 203760*o.
-1898520*o**2
Find the third derivative of -2161482*m**3*p - 13695*m**2*p + 2*m*p + 6*m - 1 wrt m.
-12968892*p
Find the third derivative of 87*p**5*r - 56*p**4*r + 14*p**3*r - 360245*p**2 + r wrt p.
5220*p**2*r - 1344*p*r + 84*r
What is the third derivative of i**6 + 21001*i**3 - 4*i**2 + 11*i - 75 wrt i?
120*i**3 + 126006
What is the first derivative of 22*f**2*y**4 + 331*f**2*y - 28913*f**2 - 2*y wrt y?
88*f**2*y**3 + 331*f**2 - 2
What is the first derivative of 3*n**4 - 5*n**3 + 6837*n**2 - 20895?
12*n**3 - 15*n**2 + 13674*n
What is the second derivative of 52514*n**3 + 20108*n - | {
"pile_set_name": "DM Mathematics"
} |
ided by 54/(-81)*(1 - 28).
17
Let j = 32 - 5. Let h = 154 - 75. Calculate the remainder when h is divided by j.
25
Calculate the remainder when ((-150)/(-21))/(1/7) is divided by 17.
16
Suppose 0 = 2*h + v + 3*v - 38, v + 63 = 2*h. What is the remainder when h is divided by 10?
9
Let i = 48 - 34. Let y = 2 - -2. Suppose 25 = y*l + 5*c, 2*l = -l + 3*c + 12. What is the remainder when i is divided by l?
4
Let c(i) = i**2 + 9*i + 7. Let u = -13 - -5. Let f be c(u). Calculate the remainder when 41/((2 - f)/3) is divided by 14.
13
Let m(x) = x**2 - 3*x - 16. Calculate the remainder when 5*4 + (-2)/(-1) is divided by m(7).
10
Suppose -5*p - 70 = -0*p. Let v = p - -81. Suppose j + 3*j - 92 = 0. What is the remainder when v is divided by j?
21
Let u(r) = 5*r + 3. Let d be u(3). Suppose -y + 2*q = -5 - 1, 2*y = -2*q + d. What is the remainder when y is divided by 3?
2
Suppose 5*s - 5 = -2*z + 2, -z - 1 = s. Calculate the remainder when s is divided by 2.
1
Let l be (0 - (0 - -1)) + 27. Suppose -5*p - l = -a, 0*a - 5*a + p = -82. Let v = a - 8. Calculate the remainder when v is divided by 3.
2
Let v = -4 + 0. Let i(u) = -5*u**2 + 2 - 2 - 2 - u**3 - 6*u. What is the remainder when 16 is divided by i(v)?
4
Let g be (-1 - -2)*(1 - -2). Suppose r = -g*u + 3*r + 74, -3*u = -r - 79. Let d = 7 - -3. Calculate the remainder when u is divided by d.
8
Let g(k) = 7*k + 10. Let s(a) = -8*a - 10. Let q(o) = -4*g(o) - 3*s(o). What is the remainder when q(-8) is divided by 12?
10
Let i be 0/(1 - -1) - -2. Let b be (0 + 0)/(2 + -1). Let u = i - b. Calculate the remainder when 2 is divided by u.
0
Let a = 16 + -12. Suppose -5*m + 2*m - 3*t + 21 = 0, -a*t = -16. What is the remainder when m is divided by 2?
1
Let c(q) = 2*q**2 + 6*q - 2. Calculate the remainder when 8 is divided by c(-4).
2
Suppose 3*j + 14 = -1. Let n be 0 + (-1 + 0)*j. Suppose 3*r + 5*o = 30, -n*o + 2*o + 30 = 3*r. Calculate the remainder when 38 is divided by r.
8
Let f = 39 - 35. Calculate the remainder when 7 is divided by f.
3
Let u(y) = y**3 + 8*y**2 + 6*y - 6. Let b be u(-7). Let r be ((-28)/6)/(b/(-3)). Let p = 23 - r. What is the remainder when 26 is divided by p?
8
Suppose 0 = -s + 10*s - 18. Calculate the remainder when 13 is divided by s.
1
Suppose -825 = -5*d + 4*f, d - 149 = 4*f + 16. Suppose -2*h - 3*h = -d. Suppose 0 = 2*n - 5*n + h. Calculate the remainder when 32 is divided by n.
10
Let u(p) = 6*p**2 - 9*p - 10. Calculate the remainder when u(5) is divided by 32.
31
Let m(q) = q**3 - 2*q - 1. Let t be m(2). Suppose x - 4*y - 34 = -x, 2*x = -t*y + 41. What is the remainder when 37 is divided by x?
18
Suppose 4*v + 6 = 30. Let l(d) = d**3 - 6*d**2 - d + 8. Suppose 3*j + 19 = -5*p, 0 = -3*j - 2*j + 4*p + 30. What is the remainder when j is divided by l(v)?
0
Let i(r) = -r**2 + 11*r + 9. Let l = -12 - -19. Suppose 0 = 2*q - l - 13. Calculate the remainder when 55 is divided by i(q).
17
Let y(q) = -2*q**3 + 24*q**2 - 50*q + 23. Let l = 38 + -22. Calculate the remainder when y(9) is divided by l.
11
Let c = -29 + 36. What is the remainder when 20 is divided by c?
6
Let l(r) = -r**3 + 8*r**2 - 7*r + 7. Let v be l(7). Let p = v - -2. What is the remainder when 15 is divided by p?
6
Let u = 135 + -65. Calculate the remainder when u is divided by 36.
34
Suppose 0 = -4*p + 287 + 173. Calculate the remainder when p is divided by 39.
37
Suppose -5*h = -10*h + 170. Calculate the remainder when h is divided by 7.
6
Let l(v) = -v**2 - 20*v + 15. Let z be l(-13). Suppose 0 = 4*j - 42 - z. Calculate the remainder when j is divided by 13.
11
Suppose -4*n - 15 = -2*a - 7*n, -2*n = -5*a + 85. Let d = 109 + -50. What is the remainder when d is divided by a?
14
Let o(g) = g - 4. Let t be o(2). Let i be t/2 + -1 + -4. Let z = 5 - i. What is the remainder when 20 is divided by z?
9
Let d be (3/2)/((-2)/(-8)). Let m be 1 - -3*d/9. What is the remainder when (m - 2)/(-2)*-14 is divided by 3?
1
Let z(p) = 16*p**2 + 4*p + 3. What is the remainder when z(-2) is divided by 20?
19
Let j(b) = -2*b + 3. Let c be (2*-1)/(8/20). Calculate the remainder when 38 is divided by j(c).
12
Let d = -1 - -18. What is the remainder when 31 is divided by d?
14
Let h(l) = -l**2 + 11*l - 8. Let f be h(10). Let t be 2/3 - (-2)/6. Calculate the remainder when 23 is divided by 14 + (f - 5) + t.
11
Calculate the remainder when 616/10 - (36/(-15) - -2) is divided by 33.
29
Let s(q) = -q**3 + 4*q**2 + q - 3. Let j be s(3). Let k = 40 + j. Calculate the remainder when k is divided by 13.
10
Suppose 5*j - 4*t - 22 = -0, 0 = -4*j - t + 26. What is the remainder when (10 - j) + -1 + 6 is divided by 4?
1
Let m = -20 + 38. Calculate the remainder when 71 is divided by m.
17
Suppose -4*x = 5*f - 47, 35 = 3*x - 3*f - 7. Let y = x - 5. What is the remainder when 30 is divided by y?
6
Let p(u) = u + 23. Calculate the remainder when 328/12 - 1/3 is divided by p(-13).
7
Let b be (-13)/3 + (-8)/12. Calculate the remainder when 32 is divided by (3 + b/(-2))*2.
10
Suppose 2*g = 3*g - 6. Suppose -3*l + 2*q - g*q = -26, q = -5*l + 32. What is the remainder when 11 is divided by l?
5
Let k = -12 + 22. Suppose -2*a + 2 = a + 2*r, 0 = 2*a + 2*r + 2. What is the remainder when k is divided by a?
2
Let b = -110 + 233. Let c = b + -86. Suppose 0 = 4*v - v - 39. Calculate the remainder when c is divided by v.
11
Let s(f) = 12*f - 2. Let i be s(7). Suppose -4*y - i + 226 = 0. What is the remainder when y is divided by 13?
10
Let d(u) = -5*u**3 - 2*u**2 + 1. Let g be d(-1). Let a(r) = 9*r**2 - 4*r - 5. Let z be a(g). What is the remainder when ((-4)/(-6))/(2/z) is divided by 14?
13
Suppose 3*t - 51 = f - 3*f, -3*f = -9. Suppose a + t = 6*a. Calculate the remainder when 10 is divided by a.
1
Let l(x) = x**3 - 5*x**2 - 5*x - 1. What is the remainder when l(6) is divided by 4?
1
Suppose -3*b + 92 = b. Calculate the remainder when b is divided by 6.
5
Let p be 3/(-3*(-1)/4). Suppose 4*k = p, 0 = -2*g - 3*k - k + 10. Calculate the remainder when g is divided by (2/(-5))/((-1)/5).
1
Let i(r) = 2*r - 8 + 7*r - 1 - r**2. Calculate the remainder when 34 is divided by i(6).
7
What is the remainder when 59 - ((-4)/10 - 108/(-45)) is divided by 20?
17
Let r be -104 - (0 + 0)/(-1). What is the remainder when 9 is divided by (-2)/10 + r/(-20)?
4
What is the remainder when 2*(105/6 + -3) is divided by (-1)/((-2)/8)*2?
5
Let x = -12 - -23. Let h = -6 + x. Calculate the remainder when 18 is divided by h.
3
Suppose -2*w - 55 = -5*r + 2*w, -r + 17 = -2*w. Let g(n) = -n**2 + 7*n + 9. What is the remainder when 24 is divided by g(r)?
6
Suppose -6*h = -25 - 29. Calculate the remainder when h is divided by 4.
1
Let x = 2 - -1. Suppose -234 = -5*t + 3*k, x*t - 78 = -4*k + 74. Calculate the remainder when t is divided by 25.
23
What is the remainder when (-572)/(-55) + (-3)/(-5) is divided by 3?
2
Let p(s) = s**3 + 13*s**2 - 30*s + 38. What is the remainder when p(-15) is divided by 13?
12
Let o = 21 + -16. Suppose -o*v - 39 = -n, 4*n - 210 = -4*v + 42. Calculate the remainder when n is divided by 20.
19
Let a = 2 - 2. Let p(y) = y**3 + y**2 - y + 6. What is the remainder when 10 is divided by p(a)?
4
What is the remainder when (73*-1)/((-5)/5) is divided by 19?
16
Let p(m) = -5*m. Let y be p(-6). Let c be (-2)/(-6) + y/18. Suppose -5*o + 55 = -5*s, c*o - 4*s = 6 + 12. Calculate the remainder when o is divided by 7.
6
Let h(w) = -w**3 - 9*w**2 - 11*w + 1. Calculate the remainder when 96 is divided by h(-8).
21
Let u(y) = -2*y**3 + 16*y**2 + 3*y - 8. Calculate the remainder when 30 is divided by u(8).
14
Let u = 8 - 6. Suppose -3*c - u*c = -85. Calculate the remainder when c is divided by 5.
2
Suppose 2*p - 228 = -3*p - 3*a, 226 = 5*p + a. Calculate the remainder when p is divided by (15 + 4 - 2) + -1.
13
Suppose -5*d - m + 73 = 0, 3*d - 43 = -0*d - m. Let h(a) = -3*a + 11. Let n be h(-8). Suppose -2*u + n = -23. Calculate the remainder when u is divided by d.
14
Let t(f) = -f**2 + 15*f + 20. Let c = -30 + 37. What is the remainder when t(14) is divided by c?
6
Suppose -27 = 12*h - 13*h. Calculate the remainder when 213 is divided by h.
24
What is the remainder when 46 is divided by ((-20)/50)/((-1)/30)?
10
Let i = 5 - -5. Calculate the remainder when 38 is divided by i.
8
Calculate th | {
"pile_set_name": "DM Mathematics"
} |
2 - 2/3*o**4 - 4/3*o + 0 - 8/3*o**f.
-2*o*(o + 1)**2*(o + 2)/3
Let a(y) be the third derivative of -y**8/1176 + 2*y**7/245 + y**6/28 + 4*y**5/105 + 40*y**2. What is r in a(r) = 0?
-1, 0, 8
Let s be 0*(319/(-22) + 14). What is t in 4/7*t**4 + 0 - 1/7*t**3 - 3/7*t**2 + s*t = 0?
-3/4, 0, 1
Let f be 3*14/(-945)*-1. Let s(q) be the first derivative of -f*q**3 + 0*q**2 + 0*q - 6. Factor s(o).
-2*o**2/15
Let z be ((-2)/(-1))/6*(34 + -55). Let n be z/2 - 15/(-4). Let 1/4*u**2 + 0 - n*u**3 + 0*u = 0. Calculate u.
0, 1
Suppose -2*p = 4*p - 42. What is d in 3 + 4*d**3 - 3*d**3 - 1 + 14*d**2 - 10*d - p*d**3 = 0?
1/3, 1
Factor 5/2*j**2 + 29/4*j + 5 + 1/4*j**3.
(j + 1)*(j + 4)*(j + 5)/4
Let o(n) be the third derivative of n**8/672 - n**7/60 + n**6/16 - 3*n**5/40 - n**2 - 46*n. Find r such that o(r) = 0.
0, 1, 3
Factor 8/9 - 38/9*y + 8/9*y**3 + 22/9*y**2.
2*(y - 1)*(y + 4)*(4*y - 1)/9
Let n(w) be the third derivative of w**8/504 - w**6/45 + 11*w**2 - 3*w. Factor n(g).
2*g**3*(g - 2)*(g + 2)/3
Suppose 5 = j - 0. Solve 6*a**2 - 22*a**3 - 2*a**j + 6*a**3 + 2*a**2 + 10*a**4 = 0 for a.
0, 1, 2
Let r(t) be the first derivative of t**6/240 + t**5/80 - t**4/8 - 20*t**3/3 - 21. Let g(i) be the third derivative of r(i). Find l such that g(l) = 0.
-2, 1
Let i(n) be the first derivative of -5*n**4/14 - 2*n**3/3 + 8*n**2/7 + 8*n/7 + 123. Factor i(h).
-2*(h - 1)*(h + 2)*(5*h + 2)/7
Let x = -69 + 269. Let v be 4/6 + x/24. Factor v*c**2 - 20*c**2 + 6*c**2.
-5*c**2
Let n(w) = -41*w**3 - 85*w**2 + 117*w - 12. Let c(q) = -39*q**3 - 84*q**2 + 117*q - 12. Let v(f) = 7*c(f) - 6*n(f). Determine u, given that v(u) = 0.
-4, 1/9, 1
Let r be (1 - 0)*(-81)/9*-11. Let p = -99 + r. Factor -3/2*s + 0 + p*s**2 + 3/2*s**3.
3*s*(s - 1)*(s + 1)/2
Let p be 5/(-20) + 58/8. Suppose -p*o + 432 = -3*o. Factor -90*y**2 - 31 - o*y + 7 + 29*y**3 + 46*y**3.
3*(y - 2)*(5*y + 2)**2
Let o(j) be the third derivative of -j**6/180 - j**5/60 + j**4/6 + j**3 + 10*j**2. Let l(q) be the first derivative of o(q). Find r, given that l(r) = 0.
-2, 1
Let m(u) be the third derivative of u**7/1260 - u**6/180 + u**5/60 + u**4/12 + 13*u**2. Let y(r) be the second derivative of m(r). Factor y(h).
2*(h - 1)**2
Factor 3*m**2 + 96*m - 4*m**4 + 7*m**4 - 45 + 79*m**3 + 231*m**2 - 339 - 28*m**3.
3*(m - 1)*(m + 2)*(m + 8)**2
Let v(s) be the third derivative of 0 - 1/12*s**6 + 7/12*s**5 - 5/12*s**4 + 0*s**3 + 0*s - 22*s**2 - 1/14*s**7. Factor v(i).
-5*i*(i - 1)*(i + 2)*(3*i - 1)
Let u(k) = 6*k + 12. Let h be u(-3). Let q be h*(-2)/8 + 1. Factor 0*c - q*c**3 - c**2 - 3/2*c**4 + 0.
-c**2*(c + 1)*(3*c + 2)/2
Suppose 4*p - 2*f = 24, 2*f + 2*f - 7 = -3*p. Let c be 12/5 - 2/p. Factor 2*s - 8*s + 32 + 14*s + c*s**2 + 8*s.
2*(s + 4)**2
Let j(y) = y**3 + 16*y**2 + 15*y - 17. Let x be j(-15). Let c = x - -20. Factor -2*g - 75 + 16*g**2 - 32*g**c + 75.
-2*g*(4*g - 1)**2
Let x be (-3 - 4/(-2))*0. Let b(u) be the third derivative of x*u + 1/350*u**7 - 1/50*u**5 + 0 + 0*u**4 - 1/200*u**6 + 3*u**2 + 0*u**3. Factor b(v).
3*v**2*(v - 2)*(v + 1)/5
Factor -62*h**2 + 10*h**3 + 15*h - 54*h**2 + 11*h**3 - 3*h**4 + 139*h**2 - 56*h**2.
-3*h*(h - 5)*(h - 1)**2
Suppose 0 = -5*n + 2*n - 4*q - 16, 20 = -5*n - 5*q. Determine i, given that -168*i**4 - 96*i**2 - 234*i**3 - 12*i - 147/4*i**5 + n = 0.
-2, -2/7, 0
Let q = 21154/79215 + -2/5281. Suppose 26/15*d**2 - 2*d**4 - 22/15*d**3 + q + 22/15*d = 0. What is d?
-1, -2/5, -1/3, 1
Let f(y) be the third derivative of -y**6/960 - y**5/60 + y**4/192 + y**3/6 + 143*y**2 - 2. Factor f(l).
-(l - 1)*(l + 1)*(l + 8)/8
Suppose -15 = -i - 13. Let o be -2 - (-2 + 1)*4. Suppose o*s + 4*s**2 + 2*s - s**2 + 2*s**3 + 3*s**i = 0. What is s?
-2, -1, 0
Let y(p) be the second derivative of 3*p**7/70 + p**6/50 - 9*p**5/25 - p**4/5 - 107*p. Determine s so that y(s) = 0.
-2, -1/3, 0, 2
Let x(g) = -g**2 - 8*g + 2. Let d be x(-8). Factor 3*f + 10*f**4 - 14*f**d + 2*f - 9*f**5 + 4*f**5 + 4*f**2.
-5*f*(f - 1)**3*(f + 1)
Let w be (-15)/9 - (-50)/30. Find o such that w + 0*o - 1/4*o**2 - 3/4*o**4 - o**3 = 0.
-1, -1/3, 0
Let g(m) = m + 23. Let w = -74 + 56. Let s be g(w). Solve 2/3*k**4 + 2*k**3 - 4/3*k**2 - k - k**s + 2/3 = 0 for k.
-1, 2/3, 1
Let n(s) be the third derivative of s**7/105 + s**6/20 - 19*s**5/30 - s**4/4 + 6*s**3 - 136*s**2. What is m in n(m) = 0?
-6, -1, 1, 3
Factor 3/5*o**2 + 24/5 + 18/5*o.
3*(o + 2)*(o + 4)/5
Let w(y) be the first derivative of 1/12*y**2 + 1/2*y - 1/6*y**3 + 31 - 1/24*y**4. Factor w(g).
-(g - 1)*(g + 1)*(g + 3)/6
Let m(i) be the first derivative of 1/18*i**3 + 8/3*i + 2/3*i**2 - 16. Solve m(y) = 0.
-4
Let a(i) be the second derivative of i**9/2520 - i**8/840 + i**7/1260 + i**4/6 + 13*i**2 + 23*i. Let f(v) be the third derivative of a(v). Factor f(s).
2*s**2*(s - 1)*(3*s - 1)
Suppose 2*y = -3*q + 8, y + 2*y - 2*q + 1 = 0. Let k be (y/10)/(81/15 + -5). Factor 0 + 0*n + k*n**3 - 1/4*n**2.
n**2*(n - 1)/4
Let -3/5*m**3 + 6/5*m**2 + 3*m - 18/5 = 0. What is m?
-2, 1, 3
Determine d, given that -2/5*d**3 - 84/5 + 106/5*d - 4*d**2 = 0.
-14, 1, 3
Let d(v) be the second derivative of -v**4/84 - 20*v**3/21 - 38*v**2/7 - 472*v. Factor d(l).
-(l + 2)*(l + 38)/7
Suppose 0 = x - 46 + 41. Let y(o) = 2*o**3 - 2*o**2 - o - 2. Let i be y(2). Factor -1/2 - 5*k**2 + 1/2*k**x - 5/2*k**i + 5/2*k + 5*k**3.
(k - 1)**5/2
Let i = -4173806/69 + 60491. Let r = i - 9/23. Factor 1/3*f**4 + 0 + 5/3*f**2 - r*f - 4/3*f**3.
f*(f - 2)*(f - 1)**2/3
Let p(w) = w**4 - 10*w**3 + 12*w**2 + 2*w - 10. Let i(n) = n**4 - n**3 + n**2 - 2. Let y(t) = 5*i(t) - p(t). Factor y(d).
d*(d - 1)*(d + 2)*(4*d + 1)
Let r(d) be the third derivative of d**6/40 + 7*d**5/10 + 43*d**4/8 + 15*d**3 + 30*d**2. Let r(y) = 0. Calculate y.
-10, -3, -1
Let p(k) be the first derivative of -k**7/168 + k**6/60 - k**5/80 + 19*k + 9. Let f(n) be the first derivative of p(n). Let f(g) = 0. Calculate g.
0, 1
Let c(k) = -7*k**3 + 30*k**2 + 108*k + 56. Let v(q) = -q**3 - q**2. Let a(d) = c(d) - 4*v(d). Find t, given that a(t) = 0.
-2, -2/3, 14
Let k(c) be the first derivative of -c**5/25 - 7*c**4/60 - c**3/15 + 12*c**2 + 26. Let d(f) be the second derivative of k(f). Suppose d(y) = 0. Calculate y.
-1, -1/6
Let g(h) = -6*h**2 - 39*h - 147. Let r(d) = 7*d**2 + 38*d + 147. Let u = 1 + -4. Let y(k) = u*r(k) - 4*g(k). Factor y(l).
3*(l + 7)**2
Let t(m) = -m**3 + 10*m**2 + 9*m - 14. Let f(x) = 7*x - 45. Let i be f(7). Let q(s) = s**3 + s - 1. Let y(h) = i*q(h) - t(h). Factor y(u).
5*(u - 2)*(u - 1)*(u + 1)
Let b(c) be the third derivative of -c**6/3240 + c**5/90 - c**4/6 + 43*c**3/6 - 22*c**2. Let t(a) be the first derivative of b(a). Factor t(r).
-(r - 6)**2/9
Let q(x) be the first derivative of -2*x**3/9 - 9*x**2 + 76. Factor q(t).
-2*t*(t + 27)/3
Suppose 0 = -6*f + 10*f. Suppose f = 5*x + 7 - 17. Factor 1 + 25/4*z**x + 5*z.
(5*z + 2)**2/4
Let y(n) be the first derivative of n**4/36 + n**3/27 - n**2/9 - 11. Factor y(m).
m*(m - 1)*(m + 2)/9
Let t(f) be the second derivative of -f**8/420 + f**7/105 + f**6/30 + 11*f**3/3 + 30*f. Let i(a) be the second derivative of t(a). Solve i(g) = 0.
-1, 0, 3
Suppose -4*u - 92 = 4*y, 0*u + 3*u + 5*y = -79. Let o = u + 21. Factor -21*i - 11*i + 6*i**3 - 16 - 38*i**o - 76*i**3 + 156*i**2.
-4*(i - 1)*(3*i - 2)*(9*i + 2)
Let r = 3461 + -3459. Factor 1/3*l + l**r + 0 + 1/3*l**4 + l**3.
l*(l + 1)**3/3
Let j(s) be the third derivative of -s**5/50 - 13*s**4/40 + 7*s**3/10 - 8*s**2 + 6*s. Find b, given that j(b) = 0.
-7, 1/2
Let a(w) = w**2 - 10*w + 1. Let g(m) = -m - 1. Let u(q) = -5*a(q) + 20*g(q). Solve u(p) = 0.
1, 5
Let a be 209/855*10 - -8*1/(-18). Let 0 + 0*r**a - 2/15*r + 2/15*r**3 = 0. Calculate r.
-1, 0, 1
Let w(k) = -k + 2. Let g(a) = -a**2 - 1. Let x(m) = -g(m) + w(m). Let l = 11 - 13. Let q(t) = -t**2 - 2. Let v(u) = l*x(u) - 3*q(u). Factor v(o).
o*(o + 2)
Let u(g) be the third derivative of g**6/360 + g**5/180 + g**2 + 14. Factor u(b).
b**2*(b + 1)/3
Let w(m) be the first derivative of 2*m**3/51 + 35*m**2/17 - 72*m/17 - 128. What is y in w(y) = 0?
-36, 1
Let c(a) be the first derivative of -a**6/4 - 2*a**5/5 + 25*a**4/8 + 5*a**3/3 - 13*a**2 + 12*a + 113. Solve c(d) = 0 for d.
-3, -2, 2/3, 1, 2
Factor -5/3*w + 8/3 - 7/6*w**2 + 1/6*w**3.
(w - 8)*(w - 1)*(w + 2)/6
Suppose 0 = -2*j - 163 + 175. Let a(i) be the third derivative of 0*i**5 - 7*i**2 | {
"pile_set_name": "DM Mathematics"
} |
= y*p. What is the units digit of p?
1
Let m be (15 + -3)*(-12)/(-9). Suppose -m = -t + 17. What is the units digit of t?
3
Let p be (-1)/(-3) + (-4)/3. Let h(k) = -15*k**2 - k - 3. Let y(m) = -m**2 + 1. Let n(j) = -h(j) - 3*y(j). What is the units digit of n(p)?
7
Let v = 0 - -3. Suppose 5*u - 4*u + 5*g = -18, v*g + 22 = 5*u. Suppose -u*y + 3*y - 2*l = 23, 5*y - 4*l - 85 = 0. What is the units digit of y?
3
Let k(p) = 2*p**2 + p - 1. Let d be k(-2). Let m(b) = b**3 - 4*b**2 - 5*b + 1. Let q be m(d). What is the units digit of q/(-2) + (-10)/(-4)?
2
Let r be 6 + (-1 - 0) + -2. Suppose r*m = -m. Suppose 6*n - n - 10 = m. What is the units digit of n?
2
Suppose -2*v = -0*g - 3*g + 10, 5*g - 19 = v. Let o be -2*(0 - v) - -3. Suppose -85 = -3*q - 2*q + o*c, -34 = -2*q + c. What is the units digit of q?
7
Let b be 3/(-12) + 9/4. Suppose -5*o = -s - 15, -3*o - b*s - 2 - 2 = 0. Suppose -o*f = -f - 1. What is the units digit of f?
1
Let s = 110 + 94. What is the hundreds digit of s?
2
Let j = 23 - 15. Let t = j - 3. What is the units digit of t?
5
Let w = -162 - -237. What is the tens digit of w?
7
Suppose 2*b = 3*b - 248. What is the tens digit of b?
4
Let k = 31 + -15. Suppose 22 = 4*x - 3*x - 3*y, x - k = -3*y. What is the tens digit of x?
1
Let g = -1 - -2. Let r(w) = -g - w**2 + 0 - 1 - 6*w. What is the units digit of r(-4)?
6
Let p(r) = 2*r**3 + 2*r**2 - r - 2. Let d be p(-2). Let n = d + 12. Suppose -6 - 12 = -2*u - z, 4*u - 48 = n*z. What is the tens digit of u?
1
Suppose -3*b = 4*c - 30, 3*c - 3*b - 47 = -14. Suppose -3*l + 0*l = -c. What is the units digit of -1 - (l + (-2 - 3))?
1
Let t = -22 - -64. What is the units digit of t?
2
Let x be 1*(2 - 1)*3. Let n(u) = u**3 - 3*u**2 + 3*u + 2. What is the tens digit of n(x)?
1
Let d be (-315)/(-75) - (-2)/(-10). Suppose -5*x - y + 187 = -0*x, -2*y = -d*x + 158. What is the tens digit of x?
3
What is the units digit of 1/(12/1314*(-6)/(-4))?
3
Let o(n) = 5 + n + 2*n - n - 11. What is the units digit of o(6)?
6
Let o = 13 - 22. What is the tens digit of 6/(24/o - -3)?
1
Let l(i) = -i**3 + 13*i**2 + 12*i - 23. What is the hundreds digit of l(12)?
2
Let s(a) = 3*a**2 + a - 2. Let z be s(2). Let g = 4 - 3. Let y = g + z. What is the units digit of y?
3
Let m be (-4)/2 - (-5 + 1). Suppose 5*k + 5*l + 73 = 273, m*l + 25 = k. What is the units digit of k?
5
Let x = 67 - 30. What is the units digit of x?
7
Suppose 5*m + 248 = 3*b, b - 76 = -2*m + 5*m. What is the units digit of b?
1
Suppose 3*z = 7*z + 2*m - 78, -3*m = -4*z + 103. Let i = 32 - z. Let t = i + -3. What is the units digit of t?
7
Suppose -23*a - 756 = -26*a. What is the tens digit of a?
5
What is the tens digit of (608/48)/(2/3)?
1
Suppose -3*a + 8 = 2. Suppose -5*n = 3*r - 201, -a*r = -5*n + 118 + 73. What is the units digit of n?
9
Let x(c) = -c**2 + 12*c + 16. What is the tens digit of x(11)?
2
Let i = -128 + 182. What is the units digit of i?
4
Let m be (0 - -1) + -2 - -2. Suppose -r + m = -2. Suppose 5*q - 8 = r*q. What is the units digit of q?
4
Suppose -99 = -7*r + 13. What is the units digit of r?
6
Let w(n) = n**3 + 9*n**2 - 11*n. What is the units digit of w(-10)?
0
Let x(h) = 0 + h + 2 + 11. What is the units digit of x(-12)?
1
Let l = -2 - -3. What is the units digit of (-18 + 3)*(0 - l)?
5
Let p(u) = 6*u - 2. Let g be p(5). Let f = g - 20. What is the units digit of f?
8
What is the tens digit of (-161)/14*-1*2?
2
Let r be -1 - (-3 + 1 + 15). Let i = r + 25. What is the units digit of i?
1
Let n be 5/2*(-12)/(-15). Suppose -3*y = -n*y - 6. Suppose y*a - 16 = 2*a. What is the units digit of a?
4
Suppose -4*o + 7 + 133 = 0. Suppose 2*s - o = -3*s. Suppose -3*c + s = k - 0*k, k - 6 = -2*c. What is the units digit of c?
1
Let b(n) be the first derivative of -n**2/2 + 11*n + 1. Let j be b(0). Let g = -1 + j. What is the units digit of g?
0
Suppose -5*j + 350 = -0*j. Suppose 2*w + 3*n = 23, 2*w - 2*n = -2*w + j. Let l = w + -9. What is the units digit of l?
7
Let l = 2 + 6. Let f(w) = 2*w. What is the units digit of f(l)?
6
Let c(g) = 2*g**2 - 10*g + 6. Let v be c(6). What is the tens digit of 186/v - 4/(-6)?
1
Let u be (-4)/(-6) - (-10)/(-6). Let p(n) be the second derivative of -4*n**3/3 + n**2/2 + 15*n. What is the units digit of p(u)?
9
Let t(f) = -f**2 - 8*f - 4. Let o = 10 - 17. Let r be (1 - 2)/((-1)/o). What is the units digit of t(r)?
3
Let z be 4 + -2 + 3 - -2. Suppose -2*v + 0 + 2 = 2*s, 2*v = -5*s - z. What is the units digit of 3 - -2*3/s?
1
Let h = 54 - 20. What is the tens digit of h?
3
Suppose 2*b = 4*b - 8. Suppose 20 = 4*r - 2*y + y, 0 = y - b. Suppose -2*f + r*f - 4 = 0. What is the units digit of f?
1
Suppose -2*y + 0 - 18 = 0. Let f = y + 18. What is the units digit of f?
9
Suppose 340 = 3*a - 4*s - 327, 2*s = 4*a - 896. What is the units digit of a?
5
Let s be (-5)/(30/76)*-6. Suppose -5*b = -s - 84. What is the units digit of b?
2
Let m = 1 - -1. Let k be -8*(-3 + 5/m). Suppose -2*l + 9 = k*b - 47, 4*l = -2*b + 82. What is the units digit of l?
8
Let r(b) = 158*b**3 - 2*b**2 - 5*b + 5. What is the units digit of r(1)?
6
Let v(m) = m**3 - 2*m**2 + 3*m - 2. Let u be v(2). Suppose 0 = 3*h + u*y + 35 - 8, -22 = 5*h - y. Let f = h - -10. What is the units digit of f?
5
Let n be ((-9)/(-18))/((-1)/(-6)). Suppose -5*v + 53 = n. What is the units digit of v?
0
Suppose -18 = 4*h - 6. Let a(p) = p**2 + 3*p + 3. What is the units digit of a(h)?
3
Suppose -8 = 2*p + 12. Suppose -5 = 4*s + 3. What is the units digit of (-32)/(-10) - s/p?
3
Let d be 7 + 1 + (2 - 0). Suppose 0 = -f - 0*f + d. What is the units digit of f?
0
Let a(w) = 2*w - 5. Let u be a(6). Suppose -u*j + 15 = -4*j. Suppose l - 1 = -s, 2*s - 6 - 2 = -j*l. What is the units digit of l?
2
Let y = -22 + 64. What is the tens digit of y?
4
Let q be 20*(1 + -2 - -2). Suppose -4*u + 7 + 5 = 3*f, 0 = 5*f + q. Suppose -2*y = y - u. What is the units digit of y?
2
Suppose -3*y - f + 197 = 3*f, -2*f - 285 = -5*y. What is the units digit of y?
9
Let m = -7 + 10. Suppose 3*q - 54 = -m*j, -3*j = -5*q - 22 - 24. What is the tens digit of j?
1
Let q be ((-9)/(-2))/(2/(-4)). Let b = -5 - q. Suppose b*v = -5*z + 15 + 25, z = v + 8. What is the units digit of z?
8
Let a = 12 - 9. Suppose -3*x + a*d = -d - 67, -2 = 2*d. Suppose -x = -b - 0*b. What is the tens digit of b?
2
Let p(l) = 3*l**2 - 8*l + 7. What is the tens digit of p(5)?
4
Let y = 20 + -28. Let o be (-4 + 0)*(5 + -1). Let f = y - o. What is the units digit of f?
8
Suppose -17 = -3*p - 4*z, 8*p + 2*z = 5*p + 13. Suppose -3*w - p = -2*w. What is the units digit of ((-1)/w)/(2/66)?
1
Let i(c) = -c**3 - 4*c**2 + 4*c - 2. Let n be i(-5). What is the units digit of (-28)/(-2) - (2 - n)?
5
Suppose m + 2 = -3*k, -5 = -4*m + 5*k - 13. Let i be (m*27)/(9/(-6)). Let u = i + -18. What is the tens digit of u?
1
Let s(t) = -t + 4. What is the tens digit of s(-12)?
1
Let m(t) = -2*t**3 - 15*t**2 + 10*t - 4. Let o(n) = n**3 + 8*n**2 - 5*n + 2. Let x(w) = -4*m(w) - 7*o(w). What is the units digit of x(-5)?
2
Suppose 0 = -n - 2 + 8. Let x = n - 3. What is the units digit of x?
3
Suppose 5*j - 37 = 148. What is the tens digit of j?
3
Let r(n) = n**3 - 13*n**2 - 20*n + 20. What is the hundreds digit of r(15)?
1
Let s(p) = -2*p**3 - 3*p - 8. What is the tens digit of s(-4)?
3
Let z = 126 - 70. What is the units digit of z?
6
Suppose b = -5*t + 12 + 5, 4*t + 5*b = 22. Suppose 0 = -t*q + 3*u - 4 + 58, 3*q - 4*u = 57. What is the tens digit of q?
1
Let j(s) = 3*s**2 - 4. What is the units digit of j(4)?
4
Suppose -o = 3*o - 452. What is the units digit of o?
3
Let t(p) = -p**2 + 7*p - 5. Let f be t(10). What is the tens digit of ((-42)/f)/(2/20)?
1
What is the units digit of (-738)/(-54) - 2/3?
3
Let w be (-8)/(-4) - -1*2. Suppose 0 = x + 2*y - w, 5*x - 5*y = -2*y + 72. What is the tens digit of x?
1
Suppose 2*x + 7 = 1, -5*c + 4*x = 83. Let f = -12 - c. What is the units digit of f?
7
Let f = -66 - -138. What is the units digit of f?
2
Suppose 0 = -a - 3 - 2. Let v = 24 - a. What is the tens digit of v?
2
Suppose 0*f - 3*f + 12 = 0. Suppose 3*m = -f*k + 118 - 40, -5*m + 5*k = -95. What is the units digit of m?
2
Suppose 0*r - 8 = -4*n + 2*r, -3*n + 2*r + 4 = 0. Suppose a = -n*a + 10. Suppose 6 = -2*u + 14, a*d = 5*u + 16. What is the | {
"pile_set_name": "DM Mathematics"
} |
f 252 and 33180?
99540
Calculate the lowest common multiple of 2621 and 2.
5242
What is the common denominator of 37/2198 and -47/147?
46158
Find the common denominator of 5/1773 and 77/5910.
17730
What is the least common multiple of 270 and 26694?
400410
Calculate the least common multiple of 586314 and 5.
2931570
Find the common denominator of 73/42772 and 107/620194.
1240388
What is the common denominator of -30/11 and -157/39336?
39336
Calculate the lowest common multiple of 14360 and 370.
531320
What is the common denominator of 137/1254 and 5/30822?
585618
What is the common denominator of -15/456161 and 11/136?
3649288
Find the common denominator of 101/260 and -107/728468.
3642340
Calculate the smallest common multiple of 184 and 1320752.
1320752
Find the common denominator of -31/2072 and 75/344.
89096
What is the common denominator of -61/493602 and 137/78?
6416826
What is the least common multiple of 3380 and 251810?
503620
Calculate the common denominator of 43/17205 and 47/1023.
189255
Find the common denominator of -95/8868 and 73/26.
115284
Calculate the least common multiple of 88533 and 19674.
177066
Calculate the least common multiple of 819 and 6279.
18837
What is the smallest common multiple of 158 and 1470?
116130
Calculate the common denominator of 49/4622 and 121/550018.
550018
Calculate the least common multiple of 10 and 1079744.
5398720
Find the common denominator of -65/200328 and -163/41244.
1402296
What is the common denominator of -127/12 and -23/3963?
15852
Find the common denominator of 23/241425 and 32/7.
1689975
Find the common denominator of -13/2476793 and 7/110.
24767930
Calculate the smallest common multiple of 30 and 968865.
1937730
Find the common denominator of -43/6 and -39/332.
996
Calculate the smallest common multiple of 312 and 2575560.
2575560
Calculate the smallest common multiple of 832 and 118.
49088
What is the smallest common multiple of 40 and 350524?
3505240
What is the least common multiple of 762944 and 88032?
2288832
Find the common denominator of 27/13850 and 67/9695.
96950
Find the common denominator of -20/3451 and 31/375173.
2626211
What is the least common multiple of 5763 and 510?
57630
Calculate the lowest common multiple of 184464 and 158112.
1106784
Calculate the smallest common multiple of 5541 and 15.
27705
What is the common denominator of 103/12 and -64/12225?
48900
What is the common denominator of 31/5976 and -19/2160?
179280
Calculate the least common multiple of 292775 and 7.
292775
Find the common denominator of -23/11152 and 58/187.
122672
What is the smallest common multiple of 208 and 73840?
73840
Find the common denominator of 33/5680 and -11/5.
5680
What is the smallest common multiple of 28582 and 922?
28582
What is the least common multiple of 15180 and 44022?
440220
Find the common denominator of 9/320 and 113/1313680.
5254720
Find the common denominator of 25/21626 and -59/726.
713658
Calculate the lowest common multiple of 8904 and 1590.
44520
What is the least common multiple of 108540 and 1206?
108540
Calculate the common denominator of -41/1224 and -35/828.
28152
What is the common denominator of -29/20412838 and -23/22?
224541218
What is the common denominator of 19/14 and 33/254062?
1778434
Find the common denominator of 83/20080 and -103/20080.
20080
What is the common denominator of -37/6996 and 65/2226?
48972
What is the smallest common multiple of 19065 and 6?
38130
Calculate the least common multiple of 161797 and 2192.
2588752
Calculate the common denominator of -1/115874 and 61/31602.
347622
Calculate the common denominator of 37/72 and 139/1824.
5472
Calculate the common denominator of -3/86410 and 85/673998.
3369990
Calculate the smallest common multiple of 280655 and 112262.
561310
Calculate the common denominator of -121/62544 and 149/1392.
1813776
What is the common denominator of 41/2737 and 73/138?
16422
What is the least common multiple of 456 and 228760?
686280
Calculate the smallest common multiple of 5554 and 12.
33324
What is the smallest common multiple of 47637 and 474?
95274
Find the common denominator of -101/30 and 52/354135.
708270
Calculate the common denominator of 59/29372 and -25/8.
58744
Calculate the lowest common multiple of 1365 and 30.
2730
What is the common denominator of 85/91336 and 47/13048?
91336
Calculate the common denominator of 113/10 and -35/1104.
5520
Calculate the common denominator of 7/58906 and -91/12.
353436
What is the smallest common multiple of 244890 and 367335?
734670
Calculate the smallest common multiple of 21945 and 4655.
153615
What is the common denominator of -87/114950 and -39/4400?
919600
What is the common denominator of 35/384171 and 44/777?
2689197
What is the common denominator of 17/10665 and -23/10?
21330
Calculate the common denominator of -73/198 and 103/558.
6138
Calculate the lowest common multiple of 39528 and 2106.
513864
What is the smallest common multiple of 4315 and 35?
30205
What is the smallest common multiple of 18 and 172008?
172008
Calculate the smallest common multiple of 14067 and 93780.
281340
What is the common denominator of 68/89133 and 105/1606?
178266
Calculate the lowest common multiple of 25099 and 6605.
125495
Find the common denominator of -41/312984 and -71/4508.
2190888
What is the least common multiple of 84129 and 2901?
84129
What is the common denominator of 1/34 and -43/5142?
87414
Calculate the smallest common multiple of 4548 and 38.
86412
Calculate the common denominator of 46/20331 and 35/156.
1057212
Calculate the common denominator of -93/32660 and -101/40.
65320
What is the common denominator of 17/53940 and -15/58?
53940
What is the smallest common multiple of 77 and 1071539?
11786929
Calculate the lowest common multiple of 27728 and 13864.
27728
What is the smallest common multiple of 40 and 92310?
369240
Calculate the lowest common multiple of 850492 and 10.
4252460
Find the common denominator of -121/9660 and 59/506.
106260
Calculate the smallest common multiple of 959 and 56444.
395108
What is the lowest common multiple of 10 and 624?
3120
What is the least common multiple of 16024 and 64?
128192
Find the common denominator of 47/814 and -33/370.
4070
Calculate the smallest common multiple of 66572 and 965294.
1930588
What is the least common multiple of 557304 and 18?
1671912
Calculate the common denominator of 55/28 and -31/20362.
285068
Calculate the smallest common multiple of 492195 and 56991.
5414145
What is the smallest common multiple of 22 and 7788?
7788
Calculate the common denominator of -57/3832 and 3/4790.
19160
What is the common denominator of 83/846 and 127/52218?
2454246
Calculate the smallest common multiple of 49484 and 801.
445356
Calculate the least common multiple of 941772 and 8.
1883544
Calculate the smallest common multiple of 36 and 217608.
652824
Find the common denominator of -41/413664 and 41/24.
413664
Calculate the lowest common multiple of 7964 and 28417.
1250348
What is the common denominator of -85/48 and 139/29088?
29088
Calculate the smallest common multiple of 212 and 1128.
59784
Calculate the common denominator of 107/2340 and -53/11440.
102960
What is the smallest common multiple of 872100 and 2907000?
8721000
Calculate the common denominator of 19/24458 and -9/13976.
97832
Calculate the least common multiple of 42670 and 50.
213350
Find the common denominator of 97/21700 and 121/10850.
21700
What is the smallest common multiple of 778264 and 56?
5447848
Calculate the common denominator of 49/21164 and 61/3848.
42328
What is the smallest common multiple of 15412 and 16?
61648
Calculate the common denominator of 77/104 and 43/36952.
480376
What is the least common multiple of 3339 and 24003?
1272159
What is the lowest common multiple of 242 and 58377?
1284294
Calculate the lowest common multiple of 18024 and 22.
198264
Calculate the least common multiple of 19939 and 34.
677926
Calculate the least common multiple of 60 and 194094.
1940940
What is the common denominator of 29 and 47/9522?
9522
Find the common denominator of -87/221606 and -37/539.
1551242
What is the common denominator of -41/235 and -61/162?
38070
What is the smallest common multiple of 125840 and 6160?
880880
What is the lowest com | {
"pile_set_name": "DM Mathematics"
} |
8. Let t = 1243 + -1243. Which is the smallest value? (a) 4/7 (b) g (c) t
c
Let p = -0.124 - -5.124. Suppose 0 = -4*o + 3*k - 5 - 15, -5*k = -3*o - 15. Which is the second biggest value? (a) p (b) 0.2 (c) o
b
Let n = -8.3 + 8.8. Let h = n - 0.5. Which is the second biggest value? (a) -3/2 (b) h (c) -5
a
Let u be (-646)/(-90) + -7 + (-2)/15. Which is the biggest value? (a) -2 (b) u (c) -4
b
Let d = 1/8 + -3/8. Let k(x) = 3*x + 6. Let z be k(-4). Which is the second biggest value? (a) d (b) -2 (c) z
b
Let k = 0.25 + 0.05. Let t = 0.7 - 2.7. Which is the third biggest value? (a) -1 (b) t (c) k
b
Suppose -3*y + 2 = -1. Let f = -2102 - -10513/5. Which is the third biggest value? (a) 4 (b) f (c) y (d) -4
b
Let t = -68.7 + 69. Let j = 0.8 + -2.8. Which is the fourth smallest value? (a) -1/9 (b) t (c) j (d) 0
b
Let n = -2473.9 - -2474. Which is the third smallest value? (a) 3 (b) n (c) 9/49
a
Let o = -4.88 - 0.12. Let a = -25 + 23. Let g = 2 + a. What is the biggest value in o, -3/7, g?
g
Let d = 595 - 594.9. Let b = -13 + 6. What is the biggest value in b, 0.3, d?
0.3
Let z be (1*114)/(-7 + (-288)/(-16)). What is the fourth smallest value in -1/11, 0, z, -3?
z
Let h = -0.3 - 0. Let y = 14723/298 - -14/149. Let w = 49 - y. What is the biggest value in -0.1, w, h?
-0.1
Let f = 5.12 - 10.12. Which is the second biggest value? (a) f (b) 0.2 (c) 6 (d) -0.07
b
Let m = -27 - -27. Let h = 63.8 - 64. Which is the third biggest value? (a) h (b) -0.4 (c) m (d) 0.4
a
Let w(o) = o**3 + 8*o**2 - 12*o - 25. Let n be w(-9). Suppose 5*h - 3*j = -j - 26, -2*h + n*j = 14. Which is the third biggest value? (a) h (b) 3/5 (c) -11
c
Let k(v) = -2*v - 6. Let c be k(-5). Let r be -3 + 4 + (-6)/15. What is the biggest value in r, c, 3?
c
Let b(s) = -4*s - 14. Let v be b(-3). Let m be -4 + 4 + 0 + v. What is the fourth biggest value in 1, 0.02, 4, m?
m
Let p be ((-168)/(-18))/(-7)*-6. Suppose -12 = -5*i + p. Which is the biggest value? (a) i (b) 5/2 (c) 5 (d) 1
c
Let i = 17 - 16. Let h = -8/39 + 79/195. Which is the third biggest value? (a) h (b) -9 (c) i
b
Let s = -5 + 8. Let n = s + -2. Let z = -2.37 - -2.07. Which is the biggest value? (a) n (b) -4 (c) z
a
Let j = 1205 - 992. Which is the third smallest value? (a) j (b) 4/9 (c) -0.3 (d) 0
b
Let k be 3 - 6/(-4)*20/15. Which is the second smallest value? (a) k (b) -1252 (c) 0
c
Let z = 907.6 + -908. What is the smallest value in 16, 3, 5, z?
z
Let j = 97.06 + -97. What is the smallest value in j, 5, -3/5?
-3/5
Let n(i) = 3*i - 2. Let v be n(2). Let l(s) = 5*s**2 - 20*s. Let j be l(6). Let c be 3 + (-4)/(-24) + (-178)/j. What is the third smallest value in v, c, -0.03?
v
Let j = -1234 + 1229. Let y be 3 - (4 - 3 - 0). Which is the fourth smallest value? (a) 0.5 (b) y (c) 0.3 (d) j
b
Let u = 1.45 + 2.75. Which is the second biggest value? (a) -0.3 (b) 0 (c) u (d) 5
c
Suppose 835*r = 832*r + 120. Which is the third biggest value? (a) -3 (b) -1 (c) 3 (d) r
b
Let n = 0.12 + 2.88. Let a = 2.5 - n. What is the second biggest value in a, -1/9, -0.09?
-1/9
Let n = -1315.8 - -1435. Let v = n + -119. Let f be (1/2)/(1/(-2)). Which is the second biggest value? (a) 2/5 (b) v (c) f
b
Let m = -1859 - -1995. Which is the smallest value? (a) 0.3 (b) m (c) 1
a
Let n be (2/13 - 424/52) + 7. Which is the fourth smallest value? (a) 2/17 (b) n (c) -0.017 (d) 1/3
d
Let b(p) = -p**3 - 7*p**2 - 3*p - 13. Let d be b(-7). Suppose 2*l = 5*l + 33. Let u = d + l. What is the second biggest value in u, -0.6, -4?
u
Let z(g) = g**3 + 5*g**2 + 2*g + 6. Let v be z(-5). Let p = -41.8 - -42. Let j = -1.7 - -2.2. What is the biggest value in j, v, p?
j
Let n = 0 + 0.1. Let v = -6112 + 6109. Which is the fourth smallest value? (a) 5 (b) v (c) n (d) -0.4
a
Suppose 3*t - 5 = 13. Let w = -971.1 + 971. Which is the second smallest value? (a) w (b) 0.3 (c) t
b
Let n = 51 + -50.6. Let s = -21 - -18. Which is the third smallest value? (a) 0.3 (b) s (c) n
c
Suppose 8*i - 21 + 61 = 0. Suppose -2*p = 5*h + 1, -2*p = -5*p + 5*h + 11. Suppose 2*k + k + 11 = -5*z, p*k = 4*z. What is the second smallest value in i, k, 4?
k
Let l = 3 - -11. Let h = 8 - l. Let v = h - -6. What is the second biggest value in v, 0.2, 7?
0.2
Let x = -0.087 + 0.587. Which is the biggest value? (a) -59 (b) x (c) -1
b
Let d = 961 - 969.58. Let h = -0.58 - d. Which is the third biggest value? (a) 2 (b) -4 (c) h
b
Let v = -1.106 + 0.006. Let w = 2.8 - 4. Let k = w - -0.9. Which is the second biggest value? (a) v (b) k (c) 0
b
Let p = 35.12 + -0.12. Let c = 34.9 - p. What is the third smallest value in 1, c, 1/3?
1
Let r = 8.54 - 1.54. Which is the third smallest value? (a) r (b) -4 (c) 12
c
Let s = -22 + 22. Suppose 2*l - 6*l - 24 = s. Let k be (-9)/l*(-8)/(-78). What is the biggest value in k, -2, -3?
k
Let z = -121 - -73. Let s = -48.53 - z. Let b = 0.13 + s. What is the second smallest value in b, 0.2, 6?
0.2
Let q = -0.12 + -0.18. Let x = 5091/20 - 1274/5. Which is the fourth biggest value? (a) q (b) 5 (c) x (d) -5
d
Let i = 989 - 989.5. Let r = -11/36 - 4/9. Which is the smallest value? (a) -5 (b) i (c) r (d) -4
a
Let o = 2 + 2. Let u be (5/15)/((-2)/18). Let d = -0.9 + 0.6. What is the smallest value in o, d, u?
u
Let n = -0.1 - 0.1. Let f = 56 + -52. Suppose t = f*r + 2*t - 37, -5*r = 3*t - 55. What is the third biggest value in n, r, -3/7?
-3/7
Let a = -9.95 + 9.35. What is the fourth biggest value in a, -4, -2, 1/6?
-4
Let d be 2*2/4*6. Let f be (4/d)/2*0. Let z = 0.02 - -1.98. What is the second biggest value in z, -2, f?
f
Let y be (-1 - -4)/(-2 + (-2 - 1)). Which is the fourth biggest value? (a) y (b) 0 (c) 5 (d) 4/9
a
Let o = 9 - 9. Let u = -225.98 - -230. Let z = 0.02 - u. What is the smallest value in -2, o, z?
z
Suppose -f + 20 = 4*f, 5*f = -4*k + 12. Let i be (2/(-1))/(k/(-4)). Let m be -8 + 9 - -1*1. What is the smallest value in m, i, 3/4?
i
Let j = 0.66 - -0.04. Let t = -1.4 + j. Let y = 0.9 + t. Which is the third biggest value? (a) y (b) 0.1 (c) 3
b
Suppose 3*p - 2*p + a = -6, -3*p + 3*a = 0. What is the second biggest value in 3, p, -71?
p
Suppose -4*x = -5*f + 2*f - 7, 4*x = 4*f + 8. Let t = 41/5 + -133/15. Which is the fourth biggest value? (a) t (b) x (c) 2/5 (d) -1/6
a
Let z be ((-8)/(-10))/((-6)/(-45)). Let c = -19 - -19.4. What is the biggest value in c, 0.2, z?
z
Let w be ((-20)/25)/((-1)/5). Let s = 8 - 5. Let f = 25.5 + -26. What is the second biggest value in w, s, f?
s
Suppose -3*g + 3*d = 72, 4*g + 3*d - 6 = -74. Let q be ((-44)/(-30))/2 + g/60. Which is the third smallest value? (a) 0.3 (b) 5 (c) q
b
Let l = 2/292565 + -251605922/3218215. Let f = -78 - l. What is the second biggest value in 4, f, -1, 0.03?
f
Suppose 16 = -4*l - 4*m, 7*m - 5*m = -2. Let d be ((-136)/(-102))/((-14)/l). Let j = 782/9 - 87. What is the smallest value in -4, d, j?
-4
Let x = 8 - -7. Let b = x + 1.8. Let i = b - 17. What is the third smallest value in 0.4, 3, i?
3
Suppose -4*s = -4*g - 36, g - 1 = -2*s + 2. Suppose 2*w + 4 = -3*x, w + 0*w + 1 = -x. Which is the third smallest value? (a) w (b) 4 (c) g
b
Let w be (-42)/70 + 34/(-10). What is the third biggest value in 1, -5/2, w?
w
Let i = -12 + 69. Let g = 52 - i. Which is the fourth smallest value? (a) -3 (b) 1/5 (c) g (d) -1/3
b
Let t = 0.44 + 12.56. Let g = -30 + t. Which is the smallest value? (a) 1/2 (b) -3 (c) 1/3 (d) g
d
Suppose -511 = c - 513. What is the smallest value in -0.1, -186, c?
-186
Let h be 1 - 1/(8/10). Let x = 2763 + -2758. Which is the smallest value? (a) -0.4 (b) x (c) h (d) 2
a
Let y = -670 + 10048/15. Let r = 0 + -1. Which is the fourth biggest value? (a) -2/21 (b) y (c) -0.4 (d) r
d
Let p = -3.3 + 0.3. Let j be 14/6 + 16/24. Let z(b) = -b**2 + 4. Let k be z(j). What is the second biggest value in k, p, -0.3?
p
Let c be ((-2)/(-4))/((-21)/(-6) - 3). Let r be (((-10)/150)/((-2)/(-6)))/c. What is the third smallest value in 2, -2, r, 0?
0
Let l be (-1)/(1/48*4). Let k be (-4)/l*-3 - -274. Let j = -5189/19 + k. What is the biggest value in 2/3, -5, j?
2/3
Let n = -76 - -683/9. Which is the third smallest value? (a) 1/5 (b) -0.061 (c) 2 (d) n
a
Let q(n) = 22*n + 5. Let f be | {
"pile_set_name": "DM Mathematics"
} |
33*f - 36*f + 18, -3*f - 5*g = -42 for f.
4
Solve -5*p + 15 = 4*c, -5*c + 84726*p - 9 = 84723*p for c.
0
Solve -8*i + 1 = -12*i - f - 6, -3*i + 35 = 41*f for i.
-2
Solve 0 = -4*t - 4*q - 38 - 2, 2*t + 32 = -4*q for t.
-4
Solve -3*d - 3*i + 1420 = 1438, 4*i = d - 19 for d.
-1
Solve 12626*i - 12621*i + t = 53, -3*i + 3*t + 21 = 0 for i.
10
Solve -4*q - 2*o - 6 = -5*q, 478*q = 474*q - 5*o + 11 for q.
4
Solve -2*k = -26*p + 120, 87*p - 84*p = -k + 20 for p.
5
Solve 5*p - 4*g = -17, -1864 + 1848 = 4*p - 2*g for p.
-5
Solve -4*c = 5*w - 33, 39 = 5*w - 5*c + 24 for w.
5
Solve -3*y - 5*z = 37, -5*z + 111 - 128 = -2*y for y.
-4
Solve -7*c - 7 = -j - 10*c, 3*c = -2*j + 20 for j.
13
Solve 4*b - 18*p + 9*p + 7 = 0, 11 = -3*b + p for b.
-4
Solve 0 = 4*a + 3*k - 28, -4*a + 52 = -403*k + 408*k for a.
-2
Solve -4 = 5*t - p, t - 5*p + 36 - 40 = 0 for t.
-1
Solve 3*h = 4*x + 9, -2*x + 5*h = -9*h - 8 for x.
-3
Solve 5*y - 124*s + 127*s + 39 = 0, -2*y - 2*s - 22 = 0 for y.
-3
Solve -13 = v - 3*n, -4*n + 622 = -11*v + 566 for v.
-4
Solve -5*a + 69 = 2*h, h - 27*a + 24*a = -37 for h.
2
Solve -k + 1029 = 4*l + 1036, -5*k + 3*l - 58 = 0 for k.
-11
Solve -51*g - 714 = -5*d, 5*d - 276 = -g - 290 for d.
0
Solve 39*a - 41*a + 4*k - 20 = 0, -3*a + 3*k = 15 for a.
0
Solve -11*k = -3*a - 15*k + 26, -4*k + 10 = -5*a for a.
2
Solve 3*h = -d - 13, -3*h + 123 = 27*d - 3*h + 2*h for d.
5
Solve -19 = -4*l + 2*m + m, 2*m + 4*m - 53 = -5*l for l.
7
Solve -30*n - 76 = -4*x, 2*x + 40 - 54 = 3*n for n.
-2
Solve 3*c - 27*v + 29*v + 36 = 0, 0 = -4*c - 3*v - 53 for c.
-2
Solve 4*m + 4*a = 0, 0*m + 4*a + 12 = 2*m for m.
2
Solve 5570*r - 5566*r + 20 = 3*a - 10, 5*r = a - 32 for a.
2
Solve -18 = 3*h + 87*p - 90*p, -5*p + 18 = -h for h.
-3
Solve u - 25*r + 12 = -22*r, -r + 4 = 3*u for u.
0
Solve -5*k - 22 = 3*w, 237*w - 238*w = 2*k + 7 for w.
-9
Solve -9 = -3*z, 1223*j + 33 = 1229*j + 3*z for j.
4
Solve -12521*c + 12522*c = 5*f + 69, -19*f - 255 = -2*c for f.
-13
Solve 3*c = 4*f - 19, c - 17*f = 6*f - 28 for c.
-5
Solve -5*d - 4*w = -59, -298 = -4*d - 5*w - 258 for d.
15
Solve 3*m + 141 = o + 128, -2*o + 26 = 6*m for o.
13
Solve 0 = 2*q, 2*h + 817*q - 8 = 820*q for h.
4
Solve -3*n - 2*i - 3*i + 29 = 0, 7*n = 9*n + 4*i - 22 for n.
3
Solve -5*w - 46*o - 20 = -51*o, -6 = 6*w + 3*o for w.
-2
Solve 0 = 5*z - 35, 4*t + 9 = 9*z - 6*z for t.
3
Solve -4*a - 27*d + 22*d = 9, -d = 5*a + 27 for a.
-6
Solve 2*n = -10*m + 22, -3*m - 5*n = 4103 - 4114 for m.
2
Solve -4*z + z = 36*n + 192, -2*z - n = 59 for z.
-28
Solve d = 2, 2*d = 4*x - 8*d + 7*d + 6 for x.
0
Solve -4*b = -4*x + 8, -35 = 4*b - 17*x - 53 for b.
-4
Solve -4*f + 16 = -4*y, 1035*y - 1040*y + 15 = 0 for f.
7
Solve -5*b + h + 48 = 84, -3*h = -61*b - 476 for b.
-8
Solve 0 = -3*y + 41*h - 44*h - 6, 0 = 3*y - 11*y + 2*h - 36 for y.
-4
Solve u - 5*l = 22, -84*u - 4*l = -80*u + 8 for u.
2
Solve -2*j = 4*c, 4*c = 77*j - 81*j for c.
0
Solve 0 = 4*k + 5*b - 43, -15 = -37*k + 31*k - 3*b for k.
-3
Solve 2*p = -5*t - 36, 3*p + 3*t + 6 = 7*p for p.
-3
Solve -38*h + 33*h = -3*p - 7, -p - 5 = -3*h for p.
1
Solve 824*p + 44 = -5*n + 823*p, -3*p - 72 = 0 for n.
-4
Solve 0 = 3*s + 15, 4*n - 1244*s = -1246*s - 6 for n.
1
Solve 257*z = 2*v + 253*z, 2*v = -z + 10 for v.
4
Solve -3*i = 2*n + 25, 4*i - 798*n + 30 = -800*n for i.
-5
Solve -o - 7 = w, -207*w + 15 = -212*w + 5*o for w.
-5
Solve 0 = -3*x - 2*y - 28, 30087*y - 30086*y = -9*x - 59 for x.
-6
Solve 2*g + 8 = -3*f, -247*f = -251*f - 2*g - 8 for f.
0
Solve 4*r = 3*n - 21, -6*n = -r - 19763 + 19742 for r.
-3
Solve 0 = 5*r + 2*o + 2, 12*o = -2*r + 9*o + 8 for r.
-2
Solve a + 45*g = 50*g + 1, 3*a - 3*g + 9 = 0 for a.
-4
Solve -z + 3 = 2*x, 0 = 5*x - 3*z - 28 + 26 for x.
1
Solve 5*f - 1249 = -o - 1282, 0 = -f + 5*o - 17 for f.
-7
Solve -33 = 3*t + 2*z, -2*t + 1842*z = 1841*z - 6 for t.
-3
Solve 0 = 4*x - 16, 4*p = -96*x + 90*x + 24 for p.
0
Solve -36 = -3*c + 3*p, -5*c - 2291 = -3*p - 2345 for c.
9
Solve 365*k - 3*z = 369*k + 2, -3*z - 9 = -3*k for k.
1
Solve -1181*i + 1179*i + 3*l + 9 = -8, 3*i = 5*l + 27 for i.
4
Solve -f + 2*d = -12, 425 = f - d + 417 for f.
4
Solve 3*t - 3*m + 2*m + 17 = 0, 0 = m + 1 for t.
-6
Solve -3*f = -5*m - 241 + 217, 0 = -5*f - 5*m for f.
3
Solve -135*k - 3*r - 27 = -140*k, -3*k + 3*r = -19 + 4 for k.
6
Solve -m - 17 = -4*d, -475*d - 2*m - 7 = -474*d for d.
3
Solve -5*n + 3176 - 3199 = -4*j, 2*j - 9*n = 31 for j.
2
Solve 0 = 3*w - 4*d - 38, 5*d + 175 = -6*w + 147 for w.
2
Solve -3*i + 394 - 415 = -4*t, -3*i = 2*t + 21 for t.
0
Solve -310*p + 2*z = -311*p + 13, -4*p = 2*z - 22 for p.
3
Solve 2*o = -5*t - 25, 40 = -5*t - 594*o + 591*o for t.
1
Solve -8*l + 27*t = 23*t, 3*t + 18 = -3*l for l.
-2
Solve 4*j - 13 = -5*z, 6*z - 7 = 4*j + 7*z for j.
-3
Solve o - 65*s + 60*s = 47, 0 = -5*o - s + 1 for o.
2
Solve -4*b + 5*s = 2, 680*s - 705*s = -4*b + 38 for b.
-3
Solve 2*n - s + 45973 = 45980, 2*n - 3*s = 17 for n.
1
Solve 3 = -u, -128*l + 4*u + 7 = -133*l for l.
1
Solve -y = -4*b + 18, 11*y - 2*b + 167 = 137 for y.
-2
Solve 9*v - 3*k = v - 42, -2*k - 2 = -k for v.
-6
Solve -350*d + 2 = -352*d - 5*a, 0 = -a for d.
-1
Solve -3*t = -4*y + 2, 589*y - 588*y + 9 = -4*t for y.
-1
Solve 4*g - 5 = -3*j, j + 303 - 308 = -3*g for j.
-1
Solve -3*o = 0, 5*h + 3*o + o + 25 = -2*o + 3*o for h.
-5
Solve -l + 15 = 2*h, -83*l + 82*l + 3*h - 10 = 0 for l.
5
Solve 0 = -3*m + 8*m - q - 21, 2*m - 2*q = 2 for m.
5
Solve 17*v + 4*k - 38 = 15*v, -46 = -2*v - 6*k for v.
11
Solve -5*n = -2*z + 9, -203*n - z = -201*n for n.
-1
Solve -r = 3*s + 2, -2*r - 3*s = 3862 - 3858 for r.
-2
Solve 7645*t - 7648*t = 3*s + 21, -10 = 4*t - 2*s for t.
-4
Solve x = 4, 5*j - 6*x - 45 = -x for j.
13
Solve -2*o - 8 = -6*j + 2*j, -j - 16 = 4*o for j.
0
Solve 6*n - 4*t = -8, 9*n = 4*n + 3*t - 6 for n.
0
Solve -5*f + o + 25 = 0, -509*f = -512*f + 2*o + 22 for f.
4
Solve 2*g - 6 = 2*v, 5*g - 3*v = -60 + 63 for g.
-3
Solve -3*n - 39 = 3*v, 219*n - 2*v = 203*n - 118 for n.
-8
Solve 0 = -3*s - 5*o - 33, 25655*s = 25650*s - 5*o - 25 for s.
4
Solve -v = -x - 9, 36*x - 32*x + 36 = -3*v for v.
0
Solve 0 = 5*j - 5*t + 5, 17757*t - 2 = 17756*t for j.
1
Solve 4*j = -n - 9, -5*n + 468*j + 9 = 470*j for n.
3
Solve -30*h + 17*h + 4 = -2*z, -21*h + 23*h = -3*z - 6 for h.
0
Solve -923*b + 926*b = 9, -4*z - 5*b = -51 for z.
9
Solve -5*d + 3*j - 4 = 0, -5*d + 4*j - 405 + 398 = 0 for d.
1
Solve -c + 2 = -3*v, -20 = -v + 5*c - 2 for v.
-2
Solve 2*j = s + 3, 40664*j - 40662*j - 2*s = 8 for j.
-1
Solve -953*h - 12 = -951*h, -27 = -c + 5*h for c.
-3
Solve y = -q - 3, -2*y + 8 = 4*q + 10 for y.
-5
Solve -36*b + 38*b + 4 = -4*c, -26 = 2*c - 5*b for c.
-3
Solve -4*f + 17 = 5*j, -20929*j + 20932*j - 11 = -2*f for j.
5
Solve 0 = 4*j + n + 2, -4*j = -6*n + 9*n - 2 for j.
-1
Solve 2*n - 4*g = -18, -15*n + g - 12 = -12*n for n.
-3
Solve 0 = -5*x + 5*z, 7 = -3*x - 5*z - 1 for x.
-1
Solve -7*c = j - 3*c + 16, 0 = 2*j + 4*c + 16 for j.
0
Solve 4*y - 666*h + 668*h - 16 = 0, 0 = -y + 4*h - 23 for y.
1
Solve 0 = 2*j - 74*m + 71*m - 2, -2*m + 12 = -4*j for j.
-5
Solve 3*j + 11 = -b, 0*j = -3*j + 2*b - 23 for j.
-5
Solve -5*w - 15 = v, -3*v - 6 = 3*w + 15 for v.
-5
Solve -5*x = -z + 9, -2*x + 19*z - 17*z - 10 = 0 for x.
-1
Solve -5*v + 4*q = 36, -q - 41 = -3*v + 8*v for v.
-8
Solve l = -3*v, v + 42*l - 43*l = 2*v for v.
0
Solve 0 = -h + 3*y + 5, 74 - 59 = 3*h + y for h.
5
Solve 0 = -18*v - 6*t - 66, -29*t = 4*v - 34*t + 2 for v.
-3
Solve -v + 3 = 0, -5*o + 191 = -2*v + 192 for o.
1
Solve i = -3*k + 18, -3*i - 11332 + 11316 = -5*k for k.
5
Solve 4*k - 16 = 2*a + k, -112*k + 116*k = 5*a + 26 for a.
-2
Solve -2*r = 18*d - 172, 2*r = 4*d - 72 + 24 for d.
10
Solve -92*w + 2*a = -97*w - 18, 7*w + 26 = -3*a for w.
-2
Solve 54 = -p + 4*z + z, -69*z = -2*p - 698 for p.
-4
Solve -5*r = 9*f - 26, f + 89*r = 86*r - 2 for f.
4
Solve 1066*f + o = 1064*f - 30, -3*f - 50 = -o for f.
-16
Solve 3 = -5*b - 4*v + 16, -v + 7 = 2*b for b.
5
Solve -3*a + 18 = 3*f, -4*a = 2*f + 11135 - 11155 for a.
4
Solve 1100*v = 1104*v - 4*y - 24, -3*v = -2*y - 15 for v.
3
Solve -4*x - 15 = 5*t + 5, -2*t - 8 = -x for t.
-4
Solve -5*r - 36*p + 34*p = 18, r - p = 2 for r.
-2
Solve 11*g + 22 = 0, 4*g - 23 + 31 = 2*w for w.
0
Solve -15*m = 5*d + 170, -10*m - 2 = -9*m + 5*d for m.
-12
Solve 0 = 11*p - 10*p + 2*b - 7, | {
"pile_set_name": "DM Mathematics"
} |
. Determine j(14).
148
Let z(d) = -d**3 - 13*d**2 - 18*d + 56. Determine z(-11).
12
Let b(k) = -k**2 + 99*k + 1222. Give b(-11).
12
Let z(i) = i**3 - 13*i**2 + 40*i - 3. What is z(4)?
13
Let v(a) = -a**2 - 63*a + 417. Calculate v(6).
3
Let f(q) = -114*q - 9224. Determine f(-81).
10
Let r(b) = -b**3 + 488*b**2 - 6633*b - 39. Calculate r(14).
3
Let j(m) = -132*m + 139. Calculate j(1).
7
Let u(z) = 348*z + 2940. What is u(-9)?
-192
Let z(r) = -r**3 + 17*r**2 + 36*r + 57. What is z(19)?
19
Let u(v) = -5*v**2 - 154*v + 16. What is u(-31)?
-15
Let c(o) = -156*o - 10900. What is c(-70)?
20
Let o(t) = t**2 + 112*t + 3091. Calculate o(-59).
-36
Let u(y) = 24*y**2 + 1965*y - 175. Give u(-82).
71
Let c(y) = y**3 - 8*y**2 + 6*y - 60. Give c(10).
200
Let q(n) = n**2 - 30*n - 1388. Calculate q(55).
-13
Let z(p) = 5*p**2 - 428*p - 1987. What is z(90)?
-7
Let t(m) = -m**2 + 44*m + 179. Give t(48).
-13
Let w(k) = 3*k. Calculate w(-27).
-81
Let z(b) = -b - 87. What is z(-20)?
-67
Let o(l) = l**2 - 37*l + 104. Determine o(35).
34
Let j(n) = 46*n - 2424. Give j(54).
60
Let r(h) = -3*h**2 + 17*h - 12. Give r(7).
-40
Let s(i) = -3*i**2 + 37*i + 2274. Give s(-22).
8
Let a(f) = -871*f - 20026. Determine a(-23).
7
Let m(p) = -3*p**2 - 173*p - 1654. Determine m(-11).
-114
Let k(s) = 18*s + 1017. What is k(-55)?
27
Let o(b) = -6*b - 60. Give o(-13).
18
Let y(o) = o**3 - 147*o**2 + 433*o - 266. What is y(144)?
-122
Let n(g) = 200*g + 631. What is n(-4)?
-169
Let x(j) = 3*j**3 - 373*j**2 + 124*j + 1. Give x(124).
1
Let t(o) = -7*o - 521. Calculate t(-47).
-192
Let f(y) = -2*y**2 - 44*y + 1678. Give f(-42).
-2
Let t(d) = -137*d - 22469. What is t(-164)?
-1
Let g(h) = -120*h**2 + 1434*h + 74. Determine g(12).
2
Let c(x) = 7*x**2 + 141*x + 530. Calculate c(-5).
0
Let y(n) = 375*n**2 - 6*n - 4. What is y(-1)?
377
Let x(r) = -35*r - 597. Determine x(-16).
-37
Let a(l) = -21*l**2 + 4*l + 7. Give a(-1).
-18
Let s(h) = 5*h**2 - 297*h - 490. Determine s(61).
-2
Let x(t) = -2*t - 42. Give x(-35).
28
Let k(j) = -j**3 - 6*j**2 - 29*j - 102. Give k(-4).
-18
Let r(m) = m**3 + 17*m**2 + 65*m - 3. Give r(-12).
-63
Let f(w) = -w**3 - 44*w**2 + 2*w + 94. Give f(-44).
6
Let g(t) = -209*t**2 - 1882*t - 3. Calculate g(-9).
6
Let a(y) = 10*y**2 + 654*y + 378. What is a(-65)?
118
Let w(s) = -3*s**2 + 72*s + 1. Calculate w(26).
-155
Let v(f) = -f**2 + 99*f - 1452. What is v(77)?
242
Let r(y) = 156*y + 4856. Give r(-31).
20
Let x(w) = 148*w - 599. Give x(5).
141
Let z(k) = -k**2 + 23*k + 1720. Give z(-32).
-40
Let g(l) = -41*l**2 + 2742*l + 325. Calculate g(67).
-10
Let m(f) = -f**2 - 364*f + 1855. Determine m(5).
10
Let o(q) = -135*q - 1399. Determine o(-9).
-184
Let k(b) = 3*b**3 - 108*b**2 + 41. Determine k(36).
41
Let h(q) = 258*q - 49. Determine h(1).
209
Let h(c) = c**2 + 21*c + 70. Determine h(-15).
-20
Let y(n) = 308*n + 6774. Determine y(-22).
-2
Let r(m) = 2*m**3 - 21*m**2 - 79*m + 497. Determine r(7).
-399
Let g(o) = 9*o**2 - 54*o + 4. Determine g(5).
-41
Let n(y) = 151*y + 666. What is n(-10)?
-844
Let j(w) = 853*w - 37535. Give j(44).
-3
Let l(x) = -16*x + 347. Calculate l(15).
107
Let z(d) = -10*d**2 - 31*d + 198. Determine z(6).
-348
Let y(s) = 6*s**2 - 67*s + 69. Give y(10).
-1
Let u(n) = -n**2 - 371*n + 3040. Calculate u(8).
8
Let j(r) = -r**2 - 16*r + 609. Calculate j(18).
-3
Let u(s) = s**3 + 11*s**2 - 27*s + 45. Calculate u(-13).
58
Let i(x) = 9*x**2 - 39*x + 44. Determine i(4).
32
Let l(j) = 124*j + 630. Give l(-5).
10
Let c(a) = -217*a**2 - 3*a - 3. Determine c(-1).
-217
Let x(j) = -3*j**2 + 120*j + 119. What is x(-1)?
-4
Let b(w) = 238*w - 2601. What is b(11)?
17
Let m(l) = l**3 + 166*l**2 + 5367*l - 118. Determine m(-122).
4
Let f(p) = 95*p - 13566. Give f(143).
19
Let r(s) = 296*s + 48. What is r(0)?
48
Let h(v) = 3*v - 69. What is h(29)?
18
Let k(p) = -2*p**2 - 66*p - 52. Determine k(-32).
12
Let u(z) = -47*z - 1697. Determine u(-37).
42
Let g(w) = -5*w**2 - 125*w + 4460. What is g(20)?
-40
Let j(r) = 89*r - 5538. Calculate j(62).
-20
Let s(v) = 16*v + 724. What is s(-47)?
-28
Let g(n) = n**2 + 63*n + 286. Determine g(-5).
-4
Let k(c) = 6*c**2 + 7*c - 47. Determine k(8).
393
Let i(v) = -177*v + 3278. Calculate i(19).
-85
Let w(l) = -67*l**2 + 508*l - 6. What is w(7)?
267
Let l(d) = d**3 + 3*d**2 + 13*d + 20. Calculate l(-4).
-48
Let z(l) = 5*l**3 - 3*l**2 + 14*l - 30. Determine z(3).
120
Let u(q) = 9*q - 281. Calculate u(35).
34
Let t(k) = -230*k**2 + 13*k - 4. Give t(1).
-221
Let v(k) = -2*k**3 + 17*k**2 - 4*k - 25. Give v(5).
130
Let r(i) = 32*i + 242. What is r(-8)?
-14
Let z(i) = -90*i - 3779. Give z(-42).
1
Let r(h) = 2*h**2 + 266*h + 7055. Determine r(-37).
-49
Let u(o) = o**3 - 19*o**2 + 33*o + 23. Calculate u(16).
-217
Let b(v) = -157*v - 213. What is b(-4)?
415
Let j(h) = h**3 - 12*h**2 + 85*h - 294. Give j(6).
0
Let d(q) = 1758*q - 14082. Calculate d(8).
-18
Let j(o) = -2*o**2 - 4*o + 63. Determine j(-7).
-7
Let i(d) = -d**3 - 65*d**2 + 52*d - 964. What is i(-66)?
-40
Let f(i) = i**3 - 37*i**2 - 46*i + 164. What is f(38)?
-140
Let o(h) = -17*h - 280. What is o(-16)?
-8
Let q(l) = 4*l**3 + 44*l**2 - 8*l - 90. Give q(-11).
-2
Let c(b) = 28*b - 340. Calculate c(12).
-4
Let z(l) = l**3 - 3*l**2 - 326*l - 279. Give z(20).
1
Let m(h) = 693*h + 7667. What is m(-11)?
44
Let r(q) = -q**2 + 289*q - 2784. Give r(10).
6
Let y(j) = -j**3 + 85*j**2 - 1749*j - 50. What is y(50)?
0
Let t(m) = -2*m**3 - m**2 + 6*m + 22. Calculate t(0).
22
Let x(q) = -q**2 - 16*q + 35. What is x(8)?
-157
Let a(o) = -2*o**3 + 19*o**2 - 5*o - 41. What is a(9)?
-5
Let v(p) = -p**3 - 13*p**2 - 17*p - 20. Give v(-11).
-75
Let y(k) = k**2 - 39*k + 7. Calculate y(40).
47
Let y(i) = 1503*i - 6200. Calculate y(4).
-188
Let k(m) = 5841*m + 514014. Give k(-88).
6
Let b(a) = -a**2 - 100*a - 735. What is b(-8)?
1
Let j(n) = -n**3 + 8*n**2 - 6*n - 41. Give j(4).
-1
Let n(b) = -2*b**2 + 53*b - 402. Give n(17).
-79
Let n(x) = 4*x + 339. Determine n(-25).
239
Let d(b) = 2*b**2 - 2*b + 20. What is d(10)?
200
Let z(a) = -3*a**2 + 767*a - 3004. Determine z(4).
16
Let n(q) = -q**2 + 107*q + 567. Determine n(-5).
7
Let f(l) = -16*l + 544. What is f(34)?
0
Let s(a) = 436*a + 3503. What is s(-8)?
15
Let g(n) = 33*n**3 + n**2 + 4*n - 2. Calculate g(2).
274
Let u(i) = -305*i + 1043. Give u(3).
128
Let y(m) = -4097*m - 20483. Give y(-5).
2
Let k(x) = -6*x**2 + 177*x + 360. Calculate k(-2).
-18
Let a(x) = -3*x**2 - 752*x - 2999. Determine a(-4).
-39
Let g(x) = -1072*x - 1173. Calculate g(-1).
-101
Let x(r) = 62*r + 657. Give x(-9).
99
Let i(k) = 13176*k + 171277. Determine i(-13).
-11
Let s(y) = -y**3 + 36*y**2 - 69*y - 64. Calculate s(34).
-98
Let u(o) = 13*o**2 + 77*o + 35. Determine u(-7).
133
Let r(s) = s**2 - 12*s - 21. Give r(-5).
64
Let m(y) = 3*y + 86. What is m(-30)?
-4
Let q(t) = -2*t**3 + 130*t**2 - 128*t - 6. Give q(64).
-6
Let l(w) = -w**3 + 19*w**2 - 34*w + 19. What is l(17)?
19
Let v(c) = -339*c**3 + c**2 - 19*c + 17. What is v(1)?
-340
Let g(o) = -2*o**2 + 79*o - 120. Give g(38).
-6
Let c(y) = -415*y - 12882. Determine c(-31).
-17
Let y(s) = s**3 - 13*s**2 + 8*s + 162. Calculate y(11).
8
Let t(q) = 6*q**3 + 97*q**2 + 40*q + 4. What is t(-16)?
-380
Let g(x) = 2*x - 92. Give g(16).
-60
Let b(t) = t**3 + 26*t**2 - 27*t - 25. Determine b(-27).
-25
Let u(p) = -20*p**2 - 16. Give u(4).
-336
Let i(m) = -2*m**3 - 166*m**2 - 4*m - 330. What is i(-83)?
2
Let z(k) = k**2 - 34*k - 225. Calculate z(39).
-30
Let t(q) = 350*q - 2113. Give t(6).
-13
Let m(p) = -7*p**2 + 95*p + 100. Determine m(15).
-50
Let y(s) = 9*s - 269. Calculate y(35).
46
Let d(s) = 993*s - 10908. Calculate d(11).
15
Let z(d) = -3*d - 361. What is z(4)?
-373
Let b(j) = j**3 - 49*j**2 + 253*j - 12. What is b(6)?
-42
Let u(b) = -b**3 + 27*b**2 + 447*b + 4. Determine u(-12).
256
Let k(w) = -w**3 + 18*w**2 + 59*w + 89. Determine k(21).
5
Let f(v) = -80*v + 353. Calculate f(4).
33
Let t(o) = 5*o**2 + 27*o + 65. Give t(-4).
37
Let c(u) = -80*u - 222. What is c(-3)?
18
Let n(r) = -218*r + 2036. Calculate n(9).
74
Let f(g) = -1555*g + 32648. What is f(21)?
-7
Let m(t) = 28*t**2 - 104*t + 11. Determine m(3).
-49
Let t(p) = 3*p**3 - p**2 + 7*p + 10. Determine t(-3).
-101
Let k(z) = -z**3 + 2*z**2 + 19*z - 37. Determine k(3).
11
Let q(g) = g**3 - 48*g**2 + | {
"pile_set_name": "DM Mathematics"
} |
irst derivative of i**5/5 + 2*i**3/3 - 3. What is the third derivative of k(v) wrt v?
24*v
Let o(u) be the second derivative of -u**4/12 - u**3/2 + u**2/2 + 3*u. Let n(f) be the first derivative of o(f). What is the derivative of n(v) wrt v?
-2
Let y = -8 - -10. Let f(i) = 2*i + 4*i - 3*i + 0*i - 5*i**y. Let r(d) = -5*d**2 + 2*d. Let s(g) = -4*f(g) + 5*r(g). Find the second derivative of s(m) wrt m.
-10
Let m(o) be the second derivative of -1/6*o**7 + 5*o + 0 + 0*o**6 + 0*o**5 + 0*o**3 + 1/4*o**4 + 0*o**2. Find the third derivative of m(t) wrt t.
-420*t**2
Let f(h) = -3*h**2 - 6*h - 4. Let u be (54/15)/3*-5. Let y(g) = 3*g**2 + 5*g + 3. Let n(s) = u*y(s) - 5*f(s). Differentiate n(t) with respect to t.
-6*t
Let t = -281/168 - -12/7. Let f(n) be the third derivative of -4*n**2 + 0 + 0*n + 1/2*n**3 + t*n**4. What is the first derivative of f(l) wrt l?
1
Let q(n) = -3*n + 3*n - 6*n**2 + 2*n. Let j(a) = -a**2 - 50*a + 25*a + 25*a. Let y(w) = 8*j(w) - q(w). Find the second derivative of y(o) wrt o.
-4
Suppose -5*p + 4*p = f, -4*p = -f. Differentiate -2*w + 2 + 2*w - 3*w + p wrt w.
-3
Let s = 2 + 0. Let h(n) = n**2 + 1. Let y(p) = -p**3 - 7*p**2 - 8. Let u(j) = s*y(j) + 14*h(j). What is the derivative of u(t) wrt t?
-6*t**2
Let s = -9 - -13. Suppose 0 = 2*x - s. What is the third derivative of 3*f**2 - x*f**5 - 5*f**2 + 4*f**2 wrt f?
-120*f**2
Let a = 4 + 1. Find the second derivative of -3*b**3 + 6*b**3 - a*b**3 + 3*b wrt b.
-12*b
Let x(w) = 4*w. Let p be x(1). Find the second derivative of -5 + 3*a - 3*a**p + 5 wrt a.
-36*a**2
Let x be 2/5 + 40/25. What is the derivative of 2*j - 2*j - 5 - 4*j**x + 7*j**2 wrt j?
6*j
Let r(y) be the third derivative of 0*y**6 - 1/12*y**4 + 0*y**3 + 0*y**7 + 0 + 4*y**2 - 1/84*y**8 + 0*y**5 + 0*y. Find the second derivative of r(i) wrt i.
-80*i**3
What is the first derivative of -5*q**2 + 21*q**2 - 2 + 5 - 5 wrt q?
32*q
Let i(b) be the second derivative of b**5/2 - b**4/2 - 7*b. What is the third derivative of i(k) wrt k?
60
Let u(t) = t**2 - 3*t - 4. Let l be u(4). Let q(w) = w**2 - w + 2. Let c be q(l). Find the third derivative of -2*a**4 + 2*a**5 + c*a**4 + 2*a**2 wrt a.
120*a**2
Let r = 97 + -54. What is the second derivative of -r - 5*v + 43 + 4*v**3 wrt v?
24*v
Let h be 7 + (-1 - (-2 + 0)). Let y be (24/14)/(h/28). What is the third derivative of 2*p**4 + 2*p**2 - y + 1 + 5 wrt p?
48*p
Let i be (-2)/(1 - (-17)/(-15)). Let c be (i/3)/1 + 1. Find the third derivative of 2*g**6 - g**c + g**2 + 0*g**2 wrt g.
120*g**3
Let d(l) = 21*l**3 + l. Let m(k) = 20*k**3 + k. Let o(n) = -5*d(n) + 6*m(n). Find the second derivative of o(p) wrt p.
90*p
Let l(d) = d**3 - d**2 + d + 1. Let r(v) = 8*v**3 - 2*v**2 + 2*v - 2. Let u(m) = 2*l(m) - r(m). What is the first derivative of u(k) wrt k?
-18*k**2
Let q(v) be the first derivative of 2*v + v**2 + v**3 - 2*v + 3. Find the second derivative of q(f) wrt f.
6
Let h(f) = -9*f - 6. Let v(a) = a + 1. Let p(y) = 3*h(y) + 45*v(y). Differentiate p(t) with respect to t.
18
Let r(m) be the second derivative of 63*m**5/20 + m**4/3 + 3*m**2 - 4*m - 4. Find the third derivative of r(p) wrt p.
378
Suppose -3*h - 2*h = -30. Find the third derivative of -4*r**2 + 0*r**2 + 2*r**h + 5*r**2 wrt r.
240*r**3
Suppose 13 + 2 = 3*p. Find the second derivative of 2*q**p - q + 5*q - 5*q wrt q.
40*q**3
Find the second derivative of 4*h + 263*h**3 - 263*h**3 - 6*h**4 wrt h.
-72*h**2
Let f = 3 - 0. Let t = -9 - -13. Find the second derivative of 3*b**5 - 2*b - 4*b**5 + f*b**5 + t*b wrt b.
40*b**3
Let u(o) be the first derivative of 13*o**4/4 + 20*o**3/3 + 15. What is the third derivative of u(h) wrt h?
78
Find the third derivative of 110*k**3 + 0*k**2 - 111*k**3 - 8*k**2 wrt k.
-6
Let m(f) = 12*f**4 - 18*f + 24. Let s(l) = -l**4 + l - 1. Let v be (9 - 4 - 2) + -4. Let u(i) = v*m(i) - 18*s(i). Differentiate u(q) wrt q.
24*q**3
Let v(p) = -p**4 - p - 1. Let u(l) = -34*l**4 + 3*l + 4. Let j(h) = -u(h) - 3*v(h). Differentiate j(w) with respect to w.
148*w**3
Let k = 3 + -1. Let f(l) = 1 + l**2 - 4 + 2*l + k*l. Let n(i) = 3*i**2 + 11*i - 8. Let z(x) = -8*f(x) + 3*n(x). What is the second derivative of z(b) wrt b?
2
Let v(u) be the second derivative of 0*u**2 + 1/2*u**3 + 0*u**4 + 0 - 3/20*u**5 - 5*u. Find the second derivative of v(b) wrt b.
-18*b
Find the first derivative of -28*s**4 - 31*s**4 + 30 + 44*s**4 wrt s.
-60*s**3
Let w(g) be the first derivative of -7*g**5/5 + g**2/2 + 5. What is the second derivative of w(a) wrt a?
-84*a**2
Let m(p) be the third derivative of p**6/24 + p**5/30 + 4*p**2. What is the third derivative of m(l) wrt l?
30
Let j(w) be the first derivative of -1/12*w**4 + 1/2*w**2 + 0*w - 1/6*w**3 + 1. Let y(a) be the second derivative of j(a). Differentiate y(k) with respect to k.
-2
Let r = -4 + 6. What is the second derivative of -g**4 + r*g + 2*g - g wrt g?
-12*g**2
Let s(y) be the third derivative of 0*y**5 + 0*y + 0*y**3 + 1/12*y**4 + 3*y**2 + 0 - 1/70*y**7 + 0*y**6. What is the second derivative of s(m) wrt m?
-36*m**2
Suppose -3*j + 6 = 5*s, -s + 5*j + 18 = -0*s. What is the first derivative of 3*l**2 + 0 - s*l**2 + 1 + 4*l**3 wrt l?
12*l**2
Suppose 4*i - 8 + 0 = 0. Let a be i/(-11) + 70/22. What is the third derivative of -k**5 + 12*k - 12*k - a*k**2 wrt k?
-60*k**2
Let s(i) = i**2 - 1 + 0*i**2 + 0*i**2 + 11 + 9*i. Let h be s(-8). What is the derivative of -y**2 - 3 - 3*y**h + y**2 wrt y?
-6*y
Find the second derivative of -12*t + 1 - 1 - 17*t**5 wrt t.
-340*t**3
What is the third derivative of p**2 - 7*p**2 + 9*p**6 + 3*p**2 - 4*p**2 wrt p?
1080*p**3
Find the second derivative of 3*a**5 - 39*a - a**5 + 48*a wrt a.
40*a**3
Suppose j + 22 = 5*k, k = -0*k + 5*j - 10. Suppose k*l - 24 = -4. Find the third derivative of 15*o**l - o**2 - 12*o**4 + 4*o**2 wrt o.
72*o
Let h = 6 + -8. Let y be (8 + -4)/((-4)/h). What is the third derivative of 2*t**3 + 3*t**y - 5*t**2 - 3*t**3 wrt t?
-6
Let z(t) = 3*t**2 + t. Let n(a) = a + 8. Let r be n(-7). Let d be z(r). What is the derivative of 5*c - d + 1 - 11*c + 7*c wrt c?
1
Let b = 41 + -21. Suppose -v = 3*v - b. What is the third derivative of y**2 + 11 - y**v - 11 wrt y?
-60*y**2
Let k(r) be the third derivative of -11*r**7/210 + r**5/30 + 9*r**2. Find the third derivative of k(s) wrt s.
-264*s
Let c(q) be the third derivative of -31*q**8/336 - 17*q**4/24 - 4*q**2. What is the second derivative of c(n) wrt n?
-620*n**3
Let r(t) be the third derivative of -t**6/60 - 11*t**5/60 - 5*t**2. What is the third derivative of r(m) wrt m?
-12
Suppose 0*t + 4*c = -2*t + 8, -3*t + 3*c - 6 = 0. What is the second derivative of 0*k**3 + t*k**3 + 3*k**4 - 2*k wrt k?
36*k**2
Let i(z) be the first derivative of 2*z + 1/2*z**2 + 1. Differentiate i(d) with respect to d.
1
Let i(t) = 4*t**2 - 4*t - 8. Let n(f) = 4*f**2 - 3*f - 9. Let j(a) = -3*i(a) + 4*n(a). Differentiate j(w) wrt w.
8*w
Let y(v) be the third derivative of -v**7/15 + 2*v**5/15 + 12*v**2. What is the third derivative of y(s) wrt s?
-336*s
Find the first derivative of -29 + 20 + 5*l**3 + 19 wrt l.
15*l**2
Let z = -4 + 6. Differentiate 1 + 2*q - q - z*q + 2*q with respect to q.
1
Let k(z) be the first derivative of 5*z**3/3 + 7*z**2/2 - 22. What is the second derivative of k(n) wrt n?
10
Let x(c) = 31*c**4 - 8*c**2 - 31*c + 8. Let b(i) = 21*i**4 - 5*i**2 - 21*i + 5. Let s(t) = 8*b(t) - 5*x(t). What is the second derivative of s(j) wrt j?
156*j**2
Let s = -4 + 7. Differentiate 2 - w + s*w + 3*w - 7*w with respect to w.
-2
Suppose 2*r + 4*t = -6, -3*t - 9 = -r - 2. Let z(s) = s**2 + 1. Let w(k) = k**2. Let x(p) = r*w(p) - 5*z(p). What is the first derivative of x(i) wrt i?
-8*i
Suppose 2*q - 3*b - 9 = 0, 3*q + 3*b = 2*q. Find the third derivative of -5*s**2 + s**q + 0*s**3 + 2*s**2 + 0*s**3 wrt s.
6
Let l(b) = 0*b + 6 + 3 - b. Let q be l(7). Find the first derivative of -1 + 3 - 2 - 3*h + q wrt h.
-3
Let w(v) be the third derivative of 0 + 0*v**5 + 4*v**2 + 0*v**6 + 1/24*v**4 + 1/105*v**7 + 0*v + 0*v**3. Find the second derivative of w(q) wrt q.
24*q**2
Let u(x) be the third derivative of -x**6/240 - x**5/60 + x**4/12 - 2*x**2. Let b(n) be the second derivative of u(n). Differentiate b(p) with respect to p.
-3
Let n(s) = -2*s**3 - 8*s**2 - 3. Let w(d) = d**3 + 7*d**2 + 2. Let c(k) = -2*n(k) - 3*w(k). | {
"pile_set_name": "DM Mathematics"
} |
*v - 13*v).
1428*v
Expand 39*f + 44*f + 9*f + (-f - 2*f + 4*f)*(-1 + 6 - 3) - 3*f + 3*f + 4*f.
98*f
Expand 423*f**2 + 220*f**2 - 2*f**4 - 203*f**2 + (2*f**3 - f**3 + 0*f**3)*(1 - 1 + f) + 0*f**4 + f**4 - 3*f**4.
-3*f**4 + 440*f**2
Expand -3*d + 3*d + d**2 + (-2*d + 0*d + 3*d)*(-d + 3*d - d) - d - 2472*d**2 + 180 - 2*d + 2474*d**2.
4*d**2 - 3*d + 180
Expand (-15 - 8 - 1)*(-2*i + i + 4*i) + 0*i - 3*i + 0 - 1 + 7*i - 3*i + i.
-70*i - 1
Expand 5*q**5 - 6*q**5 - 2*q**5 + (-28*q**4 + 26*q**4 + 276*q**4)*(q + 3*q - 2*q) + 4*q**5 - 6*q**5 + 3*q**5 + 2*q**3 - q**5 - 2*q**3.
545*q**5
Expand (2*r + 0*r + 0*r)*(-1 - 2 + 1) + 2*r + 3 - 3 - 1 - 15*r + 5*r + 9*r + (9 + 1 - 2)*(3*r - 6*r + 4*r).
5*r - 1
Expand -329964 + 329964 - 597*u + 4*u + u - 4*u + (0*u - 5*u + 4*u)*(2 + 1 - 2) + u + u - 3*u - 3*u + 0*u + u.
-600*u
Expand (k**3 + 2*k**3 - 4*k**3)*(-1135 - 5446*k + 2171 - 1036).
5446*k**4
Expand (0 + 2*w**3 + 2 - 3*w**3)*(w + 1 - 5*w + 3*w) - 220*w**4 - 132*w**4 + 65*w**4.
-286*w**4 - w**3 - 2*w + 2
Expand (-132*s + 247*s + 104*s)*(2*s + 6*s + 0*s).
1752*s**2
Expand (-4 + 4 + m)*(m + 0 + 0) - 3*m**2 + 5*m**2 + 0*m**2 + (-345464 + 953*m + 345464)*(5*m + 13 - 13).
4768*m**2
Expand 386*c + 298*c + 258*c + (2*c - 2 + 2)*(0 + 2 + 1).
948*c
Expand (-6*b - 5*b + 2*b)*(-2 - 1 + 2)*(36*b + 36*b + 38*b).
990*b**2
Expand (-11 + 11 - y - 115*y - 17*y + 63*y + (5*y + 0*y - 3*y)*(2 + 1 - 5))*(-2 - 2 - 1).
370*y
Expand (-81*a**4 + 281 - 281)*(-79*a - 94 + 94).
6399*a**5
Expand (6 + 2*b**2 - 6)*(-517*b**2 - 413*b**2 - 203*b**2 - 151*b**2).
-2568*b**4
Expand ((1 - 1 - k)*(4*k - 2*k**2 - 4*k) - 7*k**3 - 423*k**3 + 50*k**3)*(3*k**2 + k**2 - 3*k**2).
-378*k**5
Expand (3*c - 2*c + c + (0 - 1 + 2)*(-2*c + c + 3*c))*((3 - 2 + 0)*(3*c + 4 - 4) + 133*c - 12*c + 113*c) + (-2*c - 1 + 1)*(-c + 6*c - 3*c).
944*c**2
Expand (-128*z**3 + 13052*z - 13052*z)*(-z - 5*z + 4*z + (-1 + 1 + 1)*(3*z - 8*z + 3*z)*(4 + 8 - 4)).
2304*z**4
Expand (-15 + 4*a + 15)*(-716*a**2 - 305*a**2 - 406*a**2).
-5708*a**3
Expand (-3*b**2 + 3*b**3 + 3*b**2)*(-50 + 75 + 74 + (3 + 1 - 3)*(0 + 5 - 3)).
303*b**3
Expand (-5*g**4 - 2*g**4 - 8*g**4)*(g + 145*g + 55*g).
-3015*g**5
Expand (-4*q**2 - 1028 + 12*q**2 + q + 1026)*(-72*q + 96*q - 5 + 6).
192*q**3 + 32*q**2 - 47*q - 2
Expand (-6*s**2 - 3*s**2 + 2*s**2)*(20*s**2 - 20*s**2 + 9*s**3) + (-4 + 7*s + 4 + (-2*s + s - s)*(1 - 2 + 4) - 2 + 2*s + 2)*(-3*s**4 - 3*s**4 + 4*s**4).
-69*s**5
Expand (-2 + 4 + 9)*(4096 + 329*b - 4096).
3619*b
Expand (d + 9 - 16 + 12)*(-4*d + 3 + d + 25).
-3*d**2 + 13*d + 140
Expand 4 + 906017*v**4 - 4 - 906017*v**4 - 24167*v**5 - 2*v**3 - 2*v**5 + 2*v**3 + (2*v**2 + 2*v**4 - 2*v**2)*(0*v - v + 0*v).
-24171*v**5
Expand (-61*r - 690*r + 165*r)*(-3 + r + 3)*(1 - 1 + 2*r**3).
-1172*r**5
Expand (2*g**5 - 3*g**5 + 0*g**5)*(-198 + 32 - 493).
659*g**5
Expand (-2 - 6 - 44*j + 7)*(142*j + 1759 - 1759)*(2 - 4 + 4).
-12496*j**2 - 284*j
Expand (-7*u + 2*u - 3*u)*(5*u**2 + 0*u**2 - 3*u**2) - 155*u**3 + 216*u**3 + 124*u**3 + 238*u**3 + 190*u**3 + 3*u**3 - 4*u**3 - u**3.
595*u**3
Expand (t - 3 + 3)*(4911*t + 2334*t + 7413*t + 10432*t + 17858*t).
42948*t**2
Expand -f - 2*f + f - f + 3 - 3 - 3*f + 4*f + 0*f + (2*f - 2*f + 2*f)*(0 + 2 - 4) - 2*f - f + f + 11588*f + 12073*f + 3625 + 26783*f - 3625 - 14946*f.
35490*f
Expand (-1 + 26 + 2*l - 136)*(-2*l - 2 + 2) + (-2*l + 2*l - 2*l)*(3 - l - 3).
-2*l**2 + 222*l
Expand (-2 - 4 + 5)*(-5425*g - 2106*g + 1718*g).
5813*g
Expand (-3*s**2 + 2*s**2 + 0*s**2)*(-2*s + 0*s + 3*s) + s - 2849*s**3 - 560*s**2 + 1443*s**3 + 1404*s**3.
-3*s**3 - 560*s**2 + s
Expand ((3*k + k - k)*(0 + 0 + 1) + 2661 - 2661 + 60*k)*(-k - 3*k + 0*k).
-252*k**2
Expand 23*n + 2 - 77*n + 24*n + 0 - n + 0 + (4 + 0 - 2)*(-2*n + 2*n - 2*n).
-35*n + 2
Expand (-2 + 2 + 2*d)*(624*d - 313*d - 9*d**2 - 343*d).
-18*d**3 - 64*d**2
Expand 309*x**3 + 3410*x - 3410*x + (-2*x**3 + 4*x - 4*x)*(0 + 0 + 2) + 3*x**3 - 3*x**3 + x**3 - 8*x + 0*x**3 - x**3 - x**3.
304*x**3 - 8*x
Expand (2*i**2 + 3*i**2 - 4*i**2)*(0*i + i + 4*i + (1 - 1 - 1)*(0*i + 5*i - 3*i) + (-5 - 1 + 2)*(-6*i - 3*i + 2*i)*(-1 + 4 + 0)).
87*i**3
Expand 1311*o + 1435*o - 605*o + (-3 - 1 + 1)*(-o - 5 + 5) + o + o + 0*o.
2146*o
Expand (-762 + 762 - 214*y)*(5*y**3 + 1 - 1).
-1070*y**4
Expand 0*k**2 - 2*k**2 - k**2 + (160 + 9*k - 160)*(125*k - 19*k + 44*k - 26*k).
1113*k**2
Expand -o**2 + 6*o - 6*o + (6 + 4*o**2 - 6)*(4 - 4 + 1) + (-4*o + 5*o + 0*o)*(-300 + 300 - 44*o).
-41*o**2
Expand (0 + 1 - 5)*(0*c + 2*c - 4*c) + 37*c - 79*c + 31*c + 0*c + c + c + (2*c + c - 4*c)*(-1 + 1 + 1).
-2*c
Expand (42*l**2 - 19*l**2 + 78*l**2)*(6 + 0 + 3)*(5*l + l - 4*l).
1818*l**3
Expand (-786 - 2049 - 393 - 348)*(3*v + v - 2 - 2*v).
-7152*v + 7152
Expand (-13*g**2 - 2 + 15*g**2 - 118*g + 109*g)*(-3 + 3 - g - 1 + 1 - 2*g + (-1 + 3 - 1)*(0*g + 0*g - 2*g))*(g - g + 2*g).
-20*g**4 + 90*g**3 + 20*g**2
Expand (0*q**2 + q**2 - 3*q**2)*(19 + 9*q - 19 + (7 + 4 - 6)*(2*q - q - 2*q) + 5*q - 2*q - 2*q).
-10*q**3
Expand (1 - 1 - 2*q + (0 + 0 + 2*q)*(3 - 3 - 1) + 4*q - 4*q - q)*(4*q**2 - 6*q**2 - 2*q**2)*(-15 + 7 - 3).
-220*q**3
Expand 11*a**3 + 37337 - 37335 + 5*a**3 - 6*a + (2*a**2 + 2*a**2 - 3*a**2)*(2*a + a - 4*a) + 2*a**3 + 3*a**3 + 3*a**3.
23*a**3 - 6*a + 2
Expand (4*i**4 - 4*i**4 - i**4)*(i + 0 + 0) - 3*i**5 + 3*i**5 + 2*i**5 + 108413716*i**4 - 346*i - 108413716*i**4 + 4*i**5.
5*i**5 - 346*i
Expand -106*o**2 + 106*o**2 - 5*o**3 + 0 + o**3 + 0 + (o**2 - 3*o**2 + o**2)*(-4 - 2*o + 4) + o**3 + 12*o**3 + 0*o**3 - 3*o**3 + 0*o**3 - 2*o**3.
6*o**3
Expand -2*r**5 - r**5 + 2*r**5 + (2*r**4 + 3*r**4 - 3*r**4)*(-175*r + 444 - 444) + 5*r**5 - 2*r**2 + 2*r**2.
-346*r**5
Expand 23*o**2 - 23*o**2 + 5*o**5 + (-o**3 + 0*o**3 - o**3)*(-2*o + o - o)*(-5*o + 14*o + 8*o).
73*o**5
Expand 2*o**2 + o - o + (-5 + 1 + 3)*(2*o**2 - o**2 + 0*o**2) + 0*o**2 + o**2 + o**2 - 2*o**2 + o**2 - o**2 + (-28 - 24 + 14)*(o**2 + 0*o**2 - 5*o**2).
153*o**2
Expand -1 + 4*v**2 - 3*v**2 + 3 + (0*v**2 - 4*v**2 + 2*v**2)*(-3182 - 11 + 532).
5323*v**2 + 2
Expand (-7*j + 15*j + 4*j)*(-6*j**2 + 71 - 61 - 63).
-72*j**3 - 636*j
Expand (b - 2*b + 0*b)*(-21*b**4 - 28*b**4 - 38*b**4) - b**5 + 4*b**5 + 5*b**5.
95*b**5
Expand (0*w + w + 0*w)*(3*w**4 - 2*w**4 + w**4) + (4*w**4 + 2 - 3*w - 4*w**4 + 2*w**4)*(203*w + 140*w + 226*w).
1140*w**5 - 1707*w**2 + 1138*w
Expand (6245 + 8147 - 12344 + (0 + 0 - 2)*(-2 + 4 - 1))*(3 + 2*l - 3).
4092*l
Expand (4 - 8 - 15)*(2 - f - 2)*(4*f + 4*f + f)*(22*f**3 - 5*f**3 + 16*f**3).
5643*f**5
Expand (-3 + 1 + 0)*(-46*k**4 - 89*k**2 + 89*k**2 + (-1 + 4 + 2)*(0*k**3 - k**3 - k**3)*(-4*k + 3*k - 7*k)).
-68*k**4
Expand (-39*i - 6*i - 14*i)*(6*i - 97*i - 35*i).
7434*i**2
Expand (4*y**2 - 3*y**2 + y**2)*(-2 - 2 + 5) - 6233*y - 23 - 6270*y + y**2 - 6 + 12446*y.
3*y**2 - 57*y - 29
Expand 5*h**4 - 2*h**4 - 5*h**4 + (2*h**3 + h**3 - 2*h**3)*(-h + 0 + 0) - 1 + 1 + h**4 - 33 - 9 + 43 + 168*h**4.
166*h**4 + 1
Expand (4 + 3 + 6)*(26*c + 12*c**2 - 26*c + 0*c + c**2 + 0*c + (-2*c - 4*c + 2*c)*(-1 - c + 1)).
221*c**2
Expand (6*h + 7*h - 5*h)*(3*h**2 - 2*h**2 + 24*h**2).
200*h**3
Expand (3 - 2*l + 3 - 1)*(-1 + 2 + 0) + (-3 + 0 + 1)*(l + 4*l - 6*l) + 2 + 2*l - 2 - 27*l + 17*l - 42*l.
-50*l + 5
Expand (-1 + 1 - 2)*((-1 - 1 + 4)*(-3 - 2 + 6) + 1 + 0 + 1)*(1 + a - 1 - 91*a - 146*a - 97*a + (0 + 0 + 1)*(2*a + a - 5*a) + 4*a + 2*a + a).
2624*a
Expand 0*j**4 + j**4 + 0*j**4 + (-6 + 3*j**2 + 6)*(-2106*j**2 + 5682*j**2 - 2150*j**2).
4279*j**4
Expand (15971*t + 100*t**2 - 15971*t)*(2*t - t + 0*t)*(0 + 6 - 4 + 0 - 2 - 1 - 4 + 6 + 2 + 2 + 0 - 1 - 1 - 1 + 3 + 1 + 2 - 2 + (6 - 1 - 4)*(5 - 2 - 1)).
800*t**3
Expand (17*g**2 + 26*g**3 - 17*g**3 - g - 8*g**3)*(15*g - 15*g + 8*g**2).
8*g**5 + 136*g**4 - 8*g**3
Expand (-112*p + 79*p - 4 - 70*p)*(-p**3 - p**2 + p**2).
103*p**4 + 4*p**3
Expand -4 + 4 + 2*i**4 + (1 - 2*i - 1)*(0*i - i**3 + 0*i) + 323*i**4 - 7767*i**3 + 7767*i**3 - 3*i**4 + 2*i**2 - 2*i**2.
324*i**4
Expand (3*d + 2*d - 4*d)*(1 - d - 1) + 15171 - 15171 + 1166*d**2.
1165*d**2
Expand (-4 + 4 + 89*n + 42*n - 35*n)*(-56*n**2 + 70*n**2 - 37*n**2).
-2208*n**3
Expand -2*l + l**2 + 2*l + 2*l**2 + 2 - 2 - 2*l**2 - 4*l**2 + l**2 + (-4*l**2 + l**2 + 2*l**2)*(3 - 1 + 1).
-5*l**2
Expand -t**2 + 3*t**2 + 0*t**2 - 3*t**2 - 47*t**2 - t**2 + 4*t**2 - 3*t**2 + 6*t**2 + (2*t + 0*t - t)*(t + 1 - 1).
-41 | {
"pile_set_name": "DM Mathematics"
} |
9/2 - 15647. Which is the nearest to g? (a) -3 (b) 1/5 (c) 10 (d) 3/4
a
Suppose 3*d - d = 0. Let i = 313 - 229. Let l be (i/(-13))/3 - (7 + -9). Which is the closest to 0? (a) l (b) 2/37 (c) d
c
Let o be ((4/3)/(46 - 38))/(4/18). Which is the closest to 1/2? (a) -4 (b) o (c) -385/2
b
Let x = -245 + 59. Let v = x - -189. Which is the closest to -1? (a) 5 (b) v (c) 0.3
c
Let u = -3.96 - -3.66. Let d = 0.08 - 0.08. Let r = -3/4 + 19/20. What is the closest to r in -2, u, d?
d
Suppose 0 = p - 5*p. Let t = -96261/4 + 24065. Which is the nearest to p? (a) 1 (b) t (c) 0
c
Suppose -701 = h - 703. Let m be (-4698)/(-145) - h/5. Which is the nearest to m? (a) -5 (b) -4 (c) -1/2
c
Let i be 10 - 27/(-63) - 10. Let m = -18.79 - -19. Let h = m - 0.01. What is the closest to i in h, -3, 4?
h
Let n = -8.07 - -0.07. Let q = -0.1 + 0.1. Let v = -2.9 - -0.9. Which is the closest to q? (a) v (b) -5 (c) n
a
Let q = 19413 + -19416. Let x = 12 - 8. Let m be 3/x*(-32)/18. What is the nearest to 0.1 in q, -2, m?
m
Suppose 1533*m = 1502*m + 62. Which is the closest to 4? (a) -14/9 (b) -1/6 (c) m
c
Let x be (2/8)/(8/12). Let w = 161 + -160.947. Let g = 0.047 + w. What is the nearest to g in 4, x, -2/9?
x
Let r = -0.018 + -38.682. Let j = 38.2 + r. Which is the closest to j? (a) 0 (b) 0.4 (c) 2/3
a
Suppose 2*u - 2 = 4*l, 0 = -4*u - 0*u - 2*l + 24. Which is the closest to 1? (a) -8/15 (b) 0 (c) -2 (d) u
b
Let v be 72/54*(-6 + 70/12). Which is the nearest to -3? (a) -1 (b) 2/5 (c) 3 (d) v
a
Suppose 6*w + 30 = 3*f + w, -f = 3*w - 24. Suppose 4*t + 3 = f. Let p be (-80)/24*t/6. What is the closest to 0.1 in -0.5, p, -2/7?
-2/7
Let x = -6.5 + 7.5. Let i = 1.3 + -1.5. Which is the nearest to x? (a) -5 (b) i (c) 2.5
b
Suppose 0*o + o + 4 = 0. Let f = -239 + 1675/7. Let q = 0.03 - -0.07. Which is the closest to f? (a) q (b) o (c) -2
a
Suppose 0 = -5*w - 3*y - 65, w + y + 20 = 5. Let l = -125 + 127. What is the nearest to w in l, 2/9, 0.3?
2/9
Let o = -0.2 - 0. Suppose 2 = 3*w - d, 3*w + 63*d = 67*d - 1. Which is the nearest to o? (a) -6/7 (b) -11 (c) w
a
Let i = -63889 - -63888.9. Let m be (-20)/(-16) + (-1)/4. Which is the closest to i? (a) -2/3 (b) 45 (c) m
a
Let x = 2796 + -19569/7. What is the closest to 26 in 0, 0.3, 1/2, x?
1/2
Suppose 2*n = -2*n - 868 + 884. Which is the closest to 0? (a) 6/7 (b) 1 (c) -6/31 (d) n
c
Let m = -14582 - -58329/4. Which is the nearest to m? (a) 5 (b) 0 (c) 0.5044
b
Suppose -13*z + 28 = 47*z + 208. What is the nearest to 0.1 in -0.5, 2, -6/11, z?
-0.5
Let t(i) = -i**3 + 8*i**2 - 5*i - 9. Let p be t(7). Suppose u = 2*d - 3 - 6, p*u = 5*d - 25. What is the nearest to 0 in u, 5, -0.5?
-0.5
Let n = -22 + 25. Let u = -42 + 7. Let g = u + 35. What is the closest to 0.01 in n, 2, g?
g
Let d = -0.12427 + -0.87573. What is the closest to d in -1.2, 0, -3/2, -1/20?
-1.2
Let v be (48/(-180))/((24/(-9))/(-4)). Let d = -208 - -210. Which is the closest to 2? (a) v (b) 2/17 (c) d
c
Let p = -1.2 + 1. Let w be (-420)/(-146) + (-5 - 12/(-6)). Let t = w + 118/365. Which is the nearest to 0.1? (a) 0.1 (b) p (c) t
a
Let r = 130273/25 - 5211. Suppose 0*w + 6 = -5*w + u, 3*w + 2 = u. Let d be (-34)/(-16) + (w - 0). What is the nearest to 0.1 in d, 4, r?
d
Let d = -15829 + 15830. Let q = -2.8 + 3. Let f = q + -0.1. Which is the closest to 1/3? (a) -0.3 (b) f (c) d
b
Let m = 41/48 + -3/16. Suppose 1 = 2*x - 3. Let o = -7185 + 7184.5. What is the nearest to m in x, 0, o?
0
Let w = -36.8041 - -36.5041. Let f = -3 + 3.01. Which is the nearest to 1/3? (a) 1 (b) w (c) 2 (d) f
d
Let j = 18.63 + -16.63. What is the nearest to j in -44, -4, 0?
0
Let j = -495.24 - -495. Let h = 0.44 + j. What is the nearest to -2/3 in 1, h, -0.9?
-0.9
Let x = -3181 + 3183. Which is the nearest to x? (a) -18 (b) 0 (c) -0.6
b
Let g = -850 - -847. What is the nearest to -4 in 1/4, -16, 3, g?
g
Let f = 3.8 - -1.2. Let d = -0.3462 - -0.0462. What is the nearest to d in f, -0.1, -1?
-0.1
Let r(l) = 25*l - 173. Let q be r(7). Suppose -3*h = 8*j - 3*j - 32, -4*h = -q*j - 8. Which is the nearest to -2? (a) -1/5 (b) h (c) -1 (d) 4/5
c
Let q = 5909 + -5903. What is the closest to 0.2 in 13, q, -0.5?
-0.5
Let j be (-4)/16 - (-22)/(-8). Let s = -41.98 - -0.98. Let n = s - -40.8. Which is the nearest to j? (a) 4/3 (b) n (c) -0.3
c
Let q = -80216 - -80218. Let o be (2/5)/(1/(-5)). Which is the nearest to o? (a) -0.1 (b) q (c) 0 (d) -2
d
Let o = -2029 + 2028. Let u = 10.5 + -6.4. Let j = u + -4. Which is the nearest to 0.1? (a) o (b) j (c) 2/9
b
Let u = -0.1 + 0.1. Let q be ((-6762)/126)/7 + 7. What is the nearest to u in q, 1, 2/5?
2/5
Suppose 1 = -o - 0. Let p = -202/59 - -1936/531. What is the closest to o in -1/7, 4/3, p?
-1/7
Let c be (4/3)/(11/(-66)*8). Let j = -9 + 7. Let k = 2.09 + j. What is the nearest to -0.1 in -2/9, k, c?
-2/9
Let j = -41846.2 + 41846. Which is the nearest to -1/4? (a) 1/5 (b) j (c) -1.1 (d) 1.9
b
Let n(m) = -m**2 + 93*m - 1175. Let o be n(78). What is the nearest to -3 in 26, o, 10?
o
Let c = -959/1665 - 8/333. What is the closest to 0.1 in -3, 1/4, 13, c?
1/4
Let o = 32 - 124. Let v = o + 97. What is the nearest to 2/3 in v, 4/7, 3?
4/7
Let d = 24.6 - 25. Let g = -84 - -92.8. Let m = g + -8.6. Which is the nearest to m? (a) -2/3 (b) d (c) -2/7
c
Let v = -3.44 + 3.44. Let r = -14 - -7. Let z = r + 7.4. What is the closest to v in z, -2/9, -4/9?
-2/9
Let j = 0.068 - -4.932. Let s = 72.5 + -51. Let o = s - 21. What is the closest to -3 in j, 0, o?
0
Let z = 2033 + -2021. Let t = -2 - -7. Which is the nearest to 1/3? (a) t (b) z (c) -4
c
Let m = -14596.9 - -14597. What is the nearest to m in 0.112, 2, -1/3?
0.112
Let l = 1/10 - -1/90. Let v = 17151/92414 + -3/1127. Let t = v - 2/123. What is the closest to -1 in l, 5, t?
l
Let u = 6.3 + -1.3. Let m be (28/441)/(24/(-84)). Which is the nearest to m? (a) -2 (b) u (c) 4
a
Let z be 7 - (12/4 + 0). Suppose 5*s - 2*p = -6, z*s - 4*p + 6 = -6. Let k = -74 + 369/5. Which is the nearest to 1? (a) k (b) -5 (c) s
c
Let s = -88.856 - -88.8. What is the nearest to -5 in 2/3, s, -2, 2/9?
-2
Let r = 1.1 - 1. Suppose -7*h + 10 = 2*j - 5*h, 2*h = 5*j + 17. Let y be (2 + 10/(-6))*-1. Which is the nearest to r? (a) 0.2 (b) j (c) y
a
Let r = 149 + -151.7. Let v = -69.5 + 69.5. Let d(k) = -k - 6. Let t be d(-8). Which is the closest to 2? (a) v (b) r (c) t
c
Let s be (-8*(-2 + 12))/(-1). Let q be (-4)/(-18) - s/(-45). What is the closest to q in 1/3, -31, -0.5?
1/3
Let y be 1 + 3 + (40/5)/4*-3. Which is the closest to 32? (a) y (b) -3 (c) -0.3 (d) 5
d
Let z = -72/211 + 638/633. What is the nearest to z in -4/19, 1/11, -3?
1/11
Let x = -9 + 5. Let s = -1859/12 - -931/6. What is the nearest to -1/6 in -0.4, s, x, -0.3?
-0.3
Let s = -740.5 + 741.5. What is the closest to 0 in s, 5, -0.171, -3/7?
-0.171
Suppose -9*c + 0 + 72 = 0. Let r = -0.65 - -0.55. What is the nearest to 0 in c, -0.5, r?
r
Let q(f) = f - 2. Let u be q(0). Let k = -7.774 - -7.574. What is the closest to u in k, 0.2, -0.5, -13?
-0.5
Let v = -16 + 13. Let z = -921/56 - -116/7. What is the nearest to -0.4 in v, -2/7, z?
-2/7
Let l = 32/79 - 271/474. What is the nearest to 3/7 in -2, -0.1, -0.03, l?
-0.03
Let c = -25099.117 + 25099. What is the nearest to c in -0.8, -1/3, -0.1?
-0.1
Let j be 11/12 + (602/(-84))/43. Let s = 0.05 - -10.95. Which is the closest to s? (a) j (b) 0 (c) 0.2
a
Let z = -84.96 + 76.96. Which is the closest to 1/30? (a) 1/2 (b) z (c) -1
a
Let f(n) = -65*n - 1177. Let z be f(-18). Which is the nearest to -4? (a) 0 (b) -0.4 (c) z (d) -2
d
Let q = -0.0349 - 0.1891. Let w = -0.276 + q. Let f = -0.1 - 0.1. Which is the closest to 2? (a) 5 (b) f (c) w
b
Let n = 13835 + -13837. What is the closest to 20 in -0.6, -1, n?
-0.6
Let u = -1409.95 - -1412.95. Let c = 0 - 0. What is the nearest to -2/3 in -5, u, c?
c
Let s be 15/(-20) - (-4)/(-16). Let p be s/(1 - 16/20). Let j be ((-10)/p)/((-56)/((-4)/(-1))). What is the closest to 1/2 in j, 0.3, 4?
0.3
Let r = -5444 + 5444. Let w = 119/3 + -38. Which is the closest to 1/2? (a) 2 (b) r (c) 5 (d) w
b
Let l = -3.03 + 5.14. Let j = 15.89 + -16. Let g = j + l. Which is the closest to -0.1? (a) 0.5 (b) | {
"pile_set_name": "DM Mathematics"
} |
+ 190*p**3 - 3227*p**2 + 2 wrt p?
-24*p + 1140
Find the first derivative of -2*d**2*o**4 - 2903*d**2*o**2 - 353*d**2 + 10 wrt o.
-8*d**2*o**3 - 5806*d**2*o
Find the second derivative of -1722*v**4 - 3772*v wrt v.
-20664*v**2
What is the derivative of -2*d**3*i - 344*d**3*q + 112*d**2*i + i*q wrt q?
-344*d**3 + i
What is the derivative of 258*d**2 - 3*d - 2205 wrt d?
516*d - 3
Differentiate -2*b*r**2*v + 28*b*r*v**2 - b*v**3 + 37*r**2*v**2 + 2*r**2*v - 2*v**3 wrt b.
-2*r**2*v + 28*r*v**2 - v**3
What is the third derivative of -4938*d**3 - 3*d**2 + d + 1505 wrt d?
-29628
Find the second derivative of 11*q**3 - 52*q**2 + 9*q - 133 wrt q.
66*q - 104
What is the third derivative of x**4 - 784*x**3 + 21*x**2 - x + 11?
24*x - 4704
Find the first derivative of 148*a*r**3 - 2958*a + r**3 wrt r.
444*a*r**2 + 3*r**2
What is the third derivative of -15*h*u*v**4 + 109*h*u*v - 10*v**5 + 3*v**2 wrt v?
-360*h*u*v - 600*v**2
Find the third derivative of -96*c**3 - 50*c**2.
-576
What is the derivative of -112*j**4 - 236?
-448*j**3
What is the second derivative of -1863*p**4 + 612*p - 2?
-22356*p**2
What is the derivative of -1697*y + 1693 wrt y?
-1697
Find the first derivative of 403*p**4 + 72.
1612*p**3
What is the third derivative of 6*h**3*o**3*y - 2*h**3*o**2 - 4*h**3*o*y + 6*h**2*o**3*y + 8*h**2 + 5*h*y wrt h?
36*o**3*y - 12*o**2 - 24*o*y
What is the second derivative of -23127*f**2*r**3 - f*r**3 - 2*f - 47*r**3 - r wrt f?
-46254*r**3
Differentiate l*n**3*y - 48*l*n**3 + 2*l*n*y + 5*n**3*y - 20*y + 2 with respect to l.
n**3*y - 48*n**3 + 2*n*y
What is the second derivative of 5*g**3*i**2 + 18*g**3*p**2 + g*i**2*p + g*i*p + 4*i**2*p**2 wrt p?
36*g**3 + 8*i**2
What is the second derivative of 108*i*w**4 - 2*i*w - 28*i + w**5 - 2*w wrt w?
1296*i*w**2 + 20*w**3
Differentiate -256*t**2 + 2*t - 1304.
-512*t + 2
Differentiate -18*r**3*v*y - r**3*v - 5*r**3 + 7*r**2*v*y - 24*r*y with respect to v.
-18*r**3*y - r**3 + 7*r**2*y
Find the first derivative of -150*v + 19 wrt v.
-150
Find the second derivative of -3*x**5 - 38*x**3 - 1788*x wrt x.
-60*x**3 - 228*x
What is the derivative of -3*f*t**2 + f*t + 18*f + 5831*t**2 wrt f?
-3*t**2 + t + 18
What is the first derivative of -n**2*p**3 - 2*n**2 - 30*p**3 - 42 wrt p?
-3*n**2*p**2 - 90*p**2
Find the third derivative of -2*n**5 - 11*n**4 - 32*n**3 - n**2 - 1138*n wrt n.
-120*n**2 - 264*n - 192
What is the third derivative of -16*i**4 + 2*i**3 - 9*i**2 - 4?
-384*i + 12
What is the first derivative of -25*q**2 - 32*q - 2046 wrt q?
-50*q - 32
What is the first derivative of -33*d**3*g**2 - 135*d**3*w - 19*d**2*g**2*w wrt w?
-135*d**3 - 19*d**2*g**2
Differentiate 3*g**3*p + 20*g**2*i**3 - 2*g*p**3 - 153*i**3*p**3 with respect to g.
9*g**2*p + 40*g*i**3 - 2*p**3
What is the third derivative of 23*t**4 + 8*t**3 - 5*t**2 + 6*t wrt t?
552*t + 48
What is the third derivative of -301*t**5 - 18*t**2 - 10?
-18060*t**2
What is the first derivative of b**3*u**2 - 3*b**3 - 2*b + 187*u**2 - 350 wrt u?
2*b**3*u + 374*u
What is the third derivative of 232*o**3 + 359*o**2 wrt o?
1392
What is the second derivative of 2*b*s**4 + 39*b*s**3 - 8*b*s - 12*b wrt s?
24*b*s**2 + 234*b*s
What is the derivative of 13*v**3 + 120*v**2 - 5244?
39*v**2 + 240*v
Find the third derivative of -2*o*s*t**3 - 2*o*s*t**2 - 2*o*t**2 + 234*o*t + 5414*s*t**3 + s*t**2 + 2*s*t wrt t.
-12*o*s + 32484*s
Differentiate -6*a**4*l - 22*a*l + 56*l wrt a.
-24*a**3*l - 22*l
Find the second derivative of -5*g**3*t**5 + 122*g**3*t + 7*g*t**5 wrt t.
-100*g**3*t**3 + 140*g*t**3
Differentiate -y**2 + 11*y - 56 wrt y.
-2*y + 11
Find the second derivative of 54*n**2*w**3 + 4*n**2*w - n*w**2 + 56*n*w wrt w.
324*n**2*w - 2*n
Differentiate -318*b**3*o + 1983*b**3 with respect to o.
-318*b**3
Find the third derivative of 105*g**5*r + 2*g**3*r - 12*g**2*r + 3*g**2 + 2*g wrt g.
6300*g**2*r + 12*r
What is the second derivative of -2*f**4 + 895*f**3 - 6*f**2 + 18326*f wrt f?
-24*f**2 + 5370*f - 12
Differentiate 26940*d**3 - 646 wrt d.
80820*d**2
Differentiate o**4 - 60*o**2 - 47.
4*o**3 - 120*o
Find the second derivative of 3*f**3*i*o*r - 9*f**2*i**2*r + f**2*o*r - 3*f*i**2*o*r + 5*f*o*r - i**2*o*r - 7*i**2*r + 1 wrt f.
18*f*i*o*r - 18*i**2*r + 2*o*r
What is the derivative of 32*x*y**4 - 2*x*y**3 - 659*x wrt y?
128*x*y**3 - 6*x*y**2
What is the second derivative of -9*b**2*m**3*u**2 + 92*b**2*m*u**2 - 2*b*m**3*u + 6*b*m**2*u**2 + 6*b*m*u**2 + 8*b wrt b?
-18*m**3*u**2 + 184*m*u**2
Find the third derivative of -822*f**6 + 4*f**5 + 393*f**2 wrt f.
-98640*f**3 + 240*f**2
Differentiate -d**3*f + 863*d**3 + 208*d*f with respect to f.
-d**3 + 208*d
Find the second derivative of -13*j**5 - 43*j**4 - 15*j + 12.
-260*j**3 - 516*j**2
What is the second derivative of -2*s**4 - 27*s**3*u**2 - s**3 - 50*s*u**2 - s + 3*u**2 wrt s?
-24*s**2 - 162*s*u**2 - 6*s
What is the third derivative of -122*z**4 + 2*z**2 - 76?
-2928*z
What is the second derivative of 166*a**4 + 834*a wrt a?
1992*a**2
What is the first derivative of -2*m**3*q**4 + 135*m**3*q**2 - 919*m**3 wrt q?
-8*m**3*q**3 + 270*m**3*q
Differentiate -86*s**2*z**3 - s*t*z**2 + t*z**3 + 47*z**3 wrt s.
-172*s*z**3 - t*z**2
Find the second derivative of -2*g**2*o**2*q**2 + g**2*o**2*q - 2*g**2*o**2 - g**2*o - 17*o**2*q**2 - 17*o**2*q wrt q.
-4*g**2*o**2 - 34*o**2
What is the second derivative of -3210*o**2 + 4311*o?
-6420
Find the third derivative of 678*z**6 - 2*z**2 + 279*z wrt z.
81360*z**3
What is the second derivative of a**2*f*y - 20*a**2*l**2*y**2 - 2*a**2*l**2 - 4*a**2*l - a**2*y**2 + a*f*l**2 - 2*f*l*y**2 wrt l?
-40*a**2*y**2 - 4*a**2 + 2*a*f
What is the derivative of -72*b*c + 4*b*v**2 + b*v - 9*b - 228*c*v**2 - 2*c*v wrt v?
8*b*v + b - 456*c*v - 2*c
Find the second derivative of 282*f**5 + 5*f**3 + 975*f + 2.
5640*f**3 + 30*f
Find the second derivative of -220*h**2 + 68*h.
-440
What is the third derivative of -2*b**3*j**3*v**2 + 2*b**3*j**3 + 217*b**3*j*v**3 - b**2*j**3*v**3 - 22*b*j**3*v**2 - 6*j**2*v wrt v?
1302*b**3*j - 6*b**2*j**3
Differentiate -12*j*t**2*z**2 + 166*j*v*z + t**2*v - 2*t*z**2 + v*z**2 - v*z - z wrt t.
-24*j*t*z**2 + 2*t*v - 2*z**2
What is the derivative of -4420*w**2 + w - 185?
-8840*w + 1
Find the first derivative of -19*l**2 + 12*l + 526 wrt l.
-38*l + 12
What is the second derivative of -16*r*y**3 + 12279*r*y - 336*y**3 wrt y?
-96*r*y - 2016*y
Differentiate 455*o**2 - 128 with respect to o.
910*o
Find the third derivative of -1410*d**3*s**5 - 2*d**3*s**3 - 11*d**3 - 18*s**2 wrt s.
-84600*d**3*s**2 - 12*d**3
What is the first derivative of 7*i**4 + 19*i - 181?
28*i**3 + 19
Differentiate -959*h**3*m**3 + 8093*h**3 + 5*h**2*m**3 with respect to m.
-2877*h**3*m**2 + 15*h**2*m**2
Find the third derivative of -78*c**3*y - 10*c**3 + 154*c**2 - 32*y wrt c.
-468*y - 60
Find the first derivative of -2*v - 2372.
-2
Differentiate 559*g*i**3 + g + 7496*i**3 wrt g.
559*i**3 + 1
What is the second derivative of 3002*d**2 + 8*d + 38?
6004
Find the second derivative of -835*n**5 + 3*n**4 - 2889*n - 3.
-16700*n**3 + 36*n**2
Find the second derivative of 115*b**5 - 6*b**3 - 13018*b wrt b.
2300*b**3 - 36*b
What is the second derivative of -637*d**2 - 9*d - 66 wrt d?
-1274
Find the second derivative of 351*q**2*r**3 - 3*q*r**3 - 16*q*r wrt q.
702*r**3
Find the second derivative of -2*i**3*x**2 + 40*i**3 - 4*i**2*x - 200*i*x**2 - 2*i wrt i.
-12*i*x**2 + 240*i - 8*x
Find the second derivative of 7795*l**4 - 7448*l - 1.
93540*l**2
What is the third derivative of 5*g**4 + 7*g**3 + 83*g**2 + 2?
120*g + 42
What is the first derivative of 566*k**2 - 2*k - 956 wrt k?
1132*k - 2
What is the second derivative of -5311*q**2 + 2551*q wrt q?
-10622
What is the second derivative of -6*j*o**4 - j + o**4 + 8*o**2 + 16*o wrt o?
-72*j*o**2 + 12*o**2 + 16
Find the second derivative of 3*a**5*g - 268*a**4 - 185*a*g + 2*g + 6 wrt a.
60*a**3*g - 3216*a**2
What is the third derivative of 2*h*u**3 - 8*h*u**2 - 228*u**5 - 10*u**2 wrt u?
12*h - 13680*u**2
What is the third derivative of 6*j**3*u**5 - 2*j**3*u - 2*j**2*u**2 - 474*u**5 - 1972*u**2 wrt u?
360*j**3*u**2 - 28440*u**2
Find the second derivative of 437*x**2 + 3*x + 34.
874
What is the second derivative of 2*y**3 - 36*y**2 - 24*y?
12*y - 72
Differentiate 221*o*x**2 + 2*x**2 - 4 with respect to o.
221*x | {
"pile_set_name": "DM Mathematics"
} |
decimal place.
-1.4
Let x = -0.401 - -0.17. Let c = x + 0.32. What is c rounded to two dps?
0.09
Let s = 6 + -6. Suppose s = 5*t - 8*t + 9. Suppose 0 = -5*q - 0*m + 2*m - 3049994, -t*m = 9. What is q rounded to the nearest 100000?
-600000
Let c = -2.2000096 + 2.2. What is c rounded to six decimal places?
-0.00001
Let f = -0.33 - -0.32884. Round f to 4 dps.
-0.0012
Let r = 0.24 - -0.08. Round r to one decimal place.
0.3
Let a = -4506.995 - -4483. Let z = a - -24. What is z rounded to two dps?
0.01
Let o = 178545.89 + -178548.98999675. Let j = 3.1 + o. What is j rounded to 7 dps?
0.0000033
Let h = 0.151 - -1.459. What is h rounded to 1 decimal place?
1.6
Let a = 0.077 - -0.513. Let c = -27.59 + a. Let r = 27.0000022 + c. What is r rounded to six decimal places?
0.000002
Suppose 2*c = r - 1438, -2*r + 4319 = r - c. Let i be (-1*2)/(12/r). Round i to the nearest 100.
-200
Suppose -j + 0*t + 11 = 3*t, 0 = -t + 2. Suppose -5 = 5*h, j*a + 3*h - 6*h + 6199997 = 0. Round a to the nearest 100000.
-1200000
Let f(m) = -10299*m - 1. Let t be f(1). What is t rounded to the nearest 1000?
-10000
Let d = 16 + -16.00015. What is d rounded to 5 dps?
-0.00015
Let q = 26 - 25.987. What is q rounded to two decimal places?
0.01
Let v be (-300 - 0)/((-42)/(-1820)). Round v to the nearest ten thousand.
-10000
Suppose -4*f = -2*d + 2232, 0*f + 2*f = -3*d - 1132. What is f rounded to the nearest one hundred?
-600
Let o(r) = 3*r - 5. Let m be o(7). Suppose 0 = -2*n - 2*n + m. Suppose 0 = -n*h - 4. Round h to the nearest 10.
0
Suppose 5*l - 30 = -80. Let m be 34*-50*l/(-2). What is m rounded to the nearest 1000?
-9000
Let n = 0.14016 - -32.85862. Let b = 33 - n. What is b rounded to four dps?
0.0012
Let w = 26 - 47. Let q = -295398822 + 295398800.99999964. Let r = w - q. What is r rounded to seven dps?
0.0000004
Let v = 76.2 - 83. Let i = -872.5267 - -865.73. Let m = v - i. What is m rounded to 3 dps?
-0.003
Let s = 35510 - 52910. What is s rounded to the nearest 1000?
-17000
Let o = -9 - -9.17. Let d = o + -0.169997. What is d rounded to 5 dps?
0
Let v = 28.014 + -4.904. Let t = v - 0.01. Let m = t - 35. Round m to the nearest integer.
-12
Let b = -156738 - -7656738. Round b to the nearest one million.
8000000
Suppose -5*z + 5*n + 51981944 = 169481954, -z - 2*n - 23499996 = 0. What is z rounded to the nearest 1000000?
-24000000
Let i = -8 + 3. Let f be 15/i*(-4)/6. Let o be -11199 - (2 - (f + -1)). What is o rounded to the nearest one thousand?
-11000
Let s = -2.6 + 2.5999916. Round s to six dps.
-0.000008
Let y(c) = -c**3 - 9*c**2 + 11*c + 7. Let q be y(-10). Round q to one dp.
-3
Let f(m) be the third derivative of -m**4/24 + 7*m**3/6 + m**2. Let r be f(4). Suppose -u - r*g - 2025 = -4*u, -5*g = 2*u - 1315. Round u to the nearest 100.
700
Let c = -55 + 55. Let m be (-2)/(-4)*8/1. Suppose 4*w + m*x = 264, 3*w + c*x - 5*x = 174. Round w to the nearest ten.
60
Let a = 7.2 - 78.2. Let y = a - -68.1. Let l = y - -2.8958. Round l to 3 decimal places.
-0.004
Let x = 5.956 - 6. Round x to 2 decimal places.
-0.04
Suppose -809 = -4*d + 109523. Suppose -92417 - d = 4*p. Round p to the nearest 100000.
0
Let o = 136936115 + -59836115. Round o to the nearest one million.
77000000
Suppose -4 = 4*z - 3*z. Let p = z + 5. Let v be -16*p/(2/14). What is v rounded to the nearest ten?
-110
Suppose 5*h - h + 384 = 0. Let l be 1 + -3 + 2 - h. Suppose -6*p + 5*p = -l. What is p rounded to the nearest ten?
100
Let z = 26072.67 - 26071.269961. Let r = -1.4 + z. Round r to 5 decimal places.
0.00004
Let o = 301 - 299.39. What is o rounded to one decimal place?
1.6
Suppose 18*m = 21*m + 2016000. What is m rounded to the nearest 100000?
-700000
Let r = 84.9734 + -85. What is r rounded to three decimal places?
-0.027
Let o = 0.06175 + -0.06. Round o to four dps.
0.0018
Let z = 0.14 + -0.61. Let v = z - -0.470031. Round v to 5 decimal places.
0.00003
Let l = -8 + 14. Suppose 2*o - 5*o + l = 0. Suppose 7*i - 4*i - 3*c + 7785 = 0, -i = -o*c + 2590. What is i rounded to the nearest one thousand?
-3000
Let i = 3.4 - -0.6. Let w = -18.91 - -22.882. Let c = w - i. Round c to two dps.
-0.03
Suppose -2*g + 2032847 = -2007153. Round g to the nearest 100000.
2000000
Suppose 21590000 = 11*b + 6*b. What is b rounded to the nearest one hundred thousand?
1300000
Let j be 2*(5/2)/(-5). Let m = 6 + j. Let y(n) = 183999*n + 5. Let v be y(m). What is v rounded to the nearest 100000?
900000
Let s = -57 - -57.31. Round s to 1 decimal place.
0.3
Let n = -0.26 - -0.260116. What is n rounded to five decimal places?
0.00012
Let g = -21.089 - -100.085. Let o = -75 + g. Let v = 4 - o. What is v rounded to 3 dps?
0.004
Suppose 0 = 7*w - 3*w - 3*t + 1, 5*w + 2 = 4*t. Suppose 5*a = w*k - 6*k - 13592, -2*k = 3*a + 8156. What is a rounded to the nearest 100?
-2700
Let c = 1 - 1. Let g be (-2 + 2 + 0)*-1. Suppose g = 4*v - c*v - 24400. Round v to the nearest one thousand.
6000
Let m be 81/15 - 6/15. Let r = m - 4. What is r rounded to the nearest integer?
1
Let h(z) = -14389*z**2 - z + 4. Let g be h(3). Round g to the nearest ten thousand.
-130000
Let h = 0.05 + -4.05. Let n = -4.00005 - h. What is n rounded to four decimal places?
-0.0001
Let q(a) = -56251*a**3 - 2*a - 2. Let g be q(-2). Suppose -3*i - g = -2*b, -3*i + 449985 = -6*i - 3*b. What is i rounded to the nearest ten thousand?
-150000
Suppose 13 - 1 = 4*x. Suppose -x*n + 9 = 0, 3*k - n - 2 = 1. Suppose -k*f + 740000 = -0*f. What is f rounded to the nearest one hundred thousand?
400000
Let n = 0.975 - -4.0226. Let d = n - 5. What is d rounded to 3 dps?
-0.002
Let j = -18.7 + 18.807. Round j to two dps.
0.11
Let b be (1700/3)/(3*(-1)/18000). Round b to the nearest 100000.
-3400000
Let j = 367 - 386.3. Let s = j - -18. Let c = -2 - s. What is c rounded to the nearest integer?
-1
Let w(n) = 122*n**2 + 2. Let i be w(2). Round i to the nearest one hundred.
500
Let h(q) = 15277*q**2 - 6*q - 8. Let l be h(-6). Round l to the nearest one hundred thousand.
600000
Let d = 42.058 - 0.058. Let c = -42.58 + d. What is c rounded to 1 decimal place?
-0.6
Let r be (-111599994)/9 - 4/6. Round r to the nearest one million.
-12000000
Suppose -4*o - 2*v = 117196, -4*o + 3*v - 5947 - 111259 = 0. What is o rounded to the nearest 1000?
-29000
Let q(c) = 21*c**2 + 9*c - 2. Let v be q(-8). Let u = v + -880. Round u to the nearest 100.
400
Let l = 1076.9264 + 7496234.0736. Let s = -7497311.12999977 + l. Let p = -0.13 - s. What is p rounded to 7 dps?
-0.0000002
Let l = -7.39 - 0.51. What is l rounded to the nearest integer?
-8
Let i = -66 + 44. Let s = -9.2 - i. Let m = -7.7 + s. Round m to 0 decimal places.
5
Let c = 227.2 - 228.973. Let u = c + 3.77. Let k = u - 2. Round k to two decimal places.
0
Let u = -6.058 - -6. Round u to two dps.
-0.06
Let v = -1516936 + 1516964.00021. Let n = v - 28. Round n to 4 dps.
0.0002
Let d = 2930.610084 - 2931.15. Let y = -0.54 - d. Round y to 5 decimal places.
-0.00008
Let l = 279.05988 + -279. Let y = l + -0.06. What is y rounded to 4 dps?
-0.0001
Let s = 10253.4863 - 10252.58116119. Let q = s + 0.17485289. Let z = -1.08 + q. Round z to 6 decimal places.
-0.000008
Let y = -88 - -20. Let c = y - -67.9937. What is c rounded to 3 decimal places?
-0.006
Let z = -30.00241 + 30. What is z rounded to 4 dps?
-0.0024
Let b = -25.8 + -87.3. Let a = b + 118. Let u = 4.9000049 - a. What is u rounded to six decimal places?
0.000005
Let x = 0.384 - 6.354. Let w = -0.7 + 6.7. Let k = w + x. What is k rounded to 1 decimal place?
0
Let r = 0.96 + -1.1. Let s = r - -0.1399728. What is s rounded to 6 dps?
-0.000027
Let p = 137316660.8304577991151 - 200.8304614991151. Let w = -137316548 + p. Let g = w - -88. Round g to six decimal places.
-0.000004
Let h = 16237 - 16248.141. Let x = 0.067 + -0.026. Let b = h + x. Round b to the nearest integer.
-11
Let h be (-5)/3*(-9)/3. Suppose h*q + 333 + 42167 = 0. What is q rounded to the nearest 1000?
-9000
Suppose -6*z = -22516 + 6316. What is z rounded to the nearest one thousand?
3000
Let q = -22.928 + 23. Let v = q + -0.1. Let t = v - -0.02799951. Round t to seven dps.
-0.0000005
Let l = -11235261 - -25235263. Let t be (-4)/10 - l/(-5). What is t rounded to the nearest 1000000?
3000000
Let k = 31.99999968 + -32. What is k rounded to | {
"pile_set_name": "DM Mathematics"
} |
((-42)/3 + 5)/(60/(-276)*23)
9/5
Evaluate 119/(-14) + ((-3)/40*-8)/(2/(-5)).
-10
What is 294/1764*(-18)/7?
-3/7
-46 + 2 + (15 - 8 - -19)/(-2)
-57
Evaluate 27/12*2712/70173.
2/23
Evaluate 1037153/197106 + (-62)/12.
2/21
(0 + 1 + 2)/(-114*(-16)/26144)
43
What is the value of 44*11/(-44) + 1496/132?
1/3
Evaluate ((-13320)/5550)/((-4)/20*(-1)/2).
-24
-2 - 12/(-15) - (-42 - (-23923)/235)
-61
Calculate 48/(469/2345*15/4).
64
Calculate -22 - (19/((-665)/77))/((-2)/10).
-33
Calculate (-3)/5*(305/90 - (-808)/(-909)).
-3/2
Calculate (-21)/(-4)*(-158)/1659*42.
-21
Calculate ((-4)/(-62) + -1*(-11 - 2058/(-186)))/(-3).
0
What is (-246)/3567 + 363/(-1044)?
-5/12
What is the value of ((-2)/492)/((-2559)/(-15354))?
-1/41
Evaluate 39/(-494)*(-4180)/11880.
1/36
What is the value of 1/(-1) + (-8064)/(-368) - 1518/(-17457)?
21
Calculate 6506/(-70) - (-3565 - -3472).
2/35
Calculate (15/50)/((-546)/(-65)).
1/28
Calculate -19 + (-37608)/(-1446) - ((-234)/(-13) + -11).
2/241
What is ((-23180)/183)/(555/666)?
-152
Evaluate ((-198)/108)/(2/11) + 10.
-1/12
Calculate (159/212)/(24/2336).
73
What is the value of 2/(-3) + 275/(-33) - (-101 + 78029/852)?
5/12
22*2 + ((-299)/(-69))/(169/78)
46
Calculate 97/(-679)*140 - 1/((-500)/10005).
1/100
What is the value of 102/(-25) - (16/(-60))/(70/21)?
-4
Evaluate (-72)/(2 + -8) + 6520/(-200) + 27.
32/5
-3*56/(-120) + -1 + (9 - (-3577)/(-455))
20/13
What is the value of 1/(766/6 + (-60)/90)?
1/127
What is the value of ((-57)/76*(-224)/(-252))/((-8)/(-3))?
-1/4
What is the value of 870957/(-515214) + 4/21?
-3/2
What is the value of (7168/192 - (-240)/12)*(-3)/(-2)?
86
Evaluate -5*(-16 - (-112392)/7020).
-2/39
What is the value of (1809/(-1273))/(84/(-532))?
9
What is the value of (-1)/(41/(-2171)) + 4816/98728?
53
Evaluate (-269)/((-38736)/9504)*4/(-11).
-24
What is 79*((-7260)/(-110))/(-66)?
-79
(-91450)/(-826) + ((-40)/(-14))/10
111
(-60216)/(-12545) + (-8)/2
4/5
Evaluate (27/360*36*(-4)/6)/(9/(-15)).
3
Calculate 38/((-2128)/2646) + 50.
11/4
What is the value of (-2 + 48/27)/((-199)/((-2382030)/(-140)))?
19
What is the value of 14/(-40)*9120/2660?
-6/5
Evaluate (130*40/38350)/(-4).
-2/59
Evaluate (9000/1080 - (6 + 3)) + (-26)/(-48).
-1/8
What is the value of (-26)/104 + 5 + (-477)/108 + 8/(-12)?
-1/3
What is the value of -7 - ((-3)/75)/(1029/(-488775))?
-26
Calculate (-1)/((4365/(-720))/97).
16
Evaluate (229/(9618/1155))/(10/(-32)).
-88
What is ((-96)/24)/(-10 + -24)*(-18)/(-12)?
3/17
(1600/(-12))/8*(-240)/(-150) + 9/(-27)
-27
31878/(-1008) + 10/16
-31
What is the value of (-4)/((-33)/(-15972)*44) + 3*6?
-26
Calculate (28*1/(-1))/((-468)/936).
56
What is (-3*(-2)/(-27))/(58/145)?
-5/9
What is 32/((-72480)/(-8003)) - (-7)/(-3)?
6/5
Evaluate (160/544)/((-1)/((-30)/75)).
2/17
Evaluate (-6)/(-26) - ((-9690)/(-53820) + 22/(-792)*-3).
-3/92
What is the value of (204 - (-9 + 106)) + -229?
-122
What is the value of (((-7392)/(-396))/((-4)/15))/(-2)?
35
Calculate (8 - 1018/76) + 2 + (-9)/(855/10).
-7/2
Evaluate (-174)/7221 + (-846)/(-14442).
1/29
Evaluate 5*(-18)/6570*(-6)/(-27)*9.
-2/73
Evaluate (-3 - (-511)/175) + (-12)/15*48/(-330).
2/55
Evaluate ((-9)/(90/830) - -11)*(-9)/(27/(-3)).
-72
What is the value of 22958/(-883) - (19 + -86)?
41
Calculate (-1541)/(-2)*13046/150029.
67
(-11008)/(-4584320)*65 - 3/29
1/19
What is -269 - -254 - (-2592)/174?
-3/29
32 + (-1476)/64 - (-2)/(8/(-36))
-1/16
Calculate (36/3456*-54)/((-252)/(-48)).
-3/28
Calculate ((3250/(-50))/(-65))/(23/(-3)).
-3/23
What is 41/(488638/(-404)) - 90/826?
-1/7
What is the value of -2 - 276*((-18)/216*32 - -3)?
-94
What is 52/40*-1*(-687 - -692)?
-13/2
What is the value of (40/(-9 - (308/(-33) + 1)))/(-2*1)?
30
What is the value of 304752/(-16326) - (-4)/3?
-52/3
(484 - 481)*4/10*100/(-2)
-60
Evaluate (-308)/99*2 + 696/116.
-2/9
Calculate 56 + 40/((-10680)/16643).
-19/3
35/(-52)*69693/(-12509)
15/4
Evaluate (-109)/(-90) - (-60)/(-25920)*48.
11/10
(-2723)/(-2240) - (-2315)/(-148160)
6/5
Evaluate ((-9)/7)/(91371/22442).
-6/19
110/(-385) - ((-10260)/(-693) + -15)
-1/11
(-1)/((-2)/56) + (-1393524)/50490
2/5
Calculate 3/(6 + (1 + -1 - 8415/1360)).
-16
-19 + -8 + -1 + -2
-30
((-305)/35 - 7)*2346/5865
-44/7
(-4)/(-34) + (-4)/238*-146
18/7
Calculate 546/(-429)*(-48 + 59).
-14
What is the value of 3/(225/(-1300)) - -17?
-1/3
Calculate -16 - (49/140*42)/((-336)/448).
18/5
Evaluate (44/(-220))/((156/(-1320))/(-13)).
-22
Calculate 4/10 - 1/(-40)*34 - 186507/(-3604).
53
((-966)/1288)/((-187)/(-44))
-3/17
Evaluate 88/28 + (-7)/(21/12) + (-46360)/1708.
-28
Evaluate ((-182004)/(-1856) - 98)*48.
3
What is the value of 1/(-23*(-126)/(-828))?
-2/7
((91/5187)/(1/(-3)))/(1*3)
-1/57
What is (84/30 + 4)/(((-7424)/960)/(-58))?
51
What is (43 - (0 + (7 - -18)) - -75)*(-4)/6?
-62
What is the value of (-163540)/(-183040) + 10/165*-15?
-1/64
What is 82/51 - (-644)/10948?
5/3
17/561*55 + (-6)/4 - (-29)/24
11/8
Calculate -92 - -104 - (2 + -24).
34
Evaluate (-285)/612 + (70/(-17) - 9 - -13).
-7/12
Calculate (88/(-66))/1*(-117)/(-6).
-26
What is the value of (529 - 518) + -5 + 8?
14
What is the value of (22*(-19)/(-14630))/(8 + 833/(-105))?
3/7
Evaluate 3 - (32/(-36) + (-6420)/(-7830) + (-55720)/(-580)).
-93
What is the value of (15 + 24245/(-1625))/((-14)/5)?
-1/35
51610/47640*15/13
5/4
What is the value of (-2184)/67275 + (-156)/(-5850)?
-2/345
Evaluate ((-19)/(-38))/(16/24*60/(-5840)).
-73
What is the value of (-90)/40*(-2620)/(-180) - -26?
-27/4
Evaluate (9/(-12)*(-35)/((-7350)/224))/(5/(-200)).
32
9948/(-70465)*-4*15/18
8/17
((-14)/48)/(63/(-7) - (-5280)/594)
21/8
What is 12954/(-28560) - 60/(-140)?
-1/40
What is the value of (-1*(-21)/24)/((-2454)/19632)?
-7
Evaluate (-24)/19*73131/(-11547).
8
What is the value of (-138)/(-598)*(-19 - (-13 + -357))?
81
What is the value of (288/(4 + -16))/((-130)/(-195))?
-36
What is the value of 2/15*-12 + (-946332)/8730?
-110
(-15520)/1302 - (-28)/(-588) - (0 - 12)
1/31
106/153 - (-29280)/(-62220)
2/9
-19 + 15 + (-10 - (14 - 67))
39
Calculate (8/((-320)/12))/((-2520)/700).
1/12
Evaluate 7*(-4 - 0)*(-4)/8.
14
What is the value of (-48 + -1)*((-5214)/(-66) - 78)?
-49
What is the value of ((-14)/10)/(221/442*(-4)/(-30))?
-21
What is ((-179)/(-2506))/((-13)/(-9646))?
53
Evaluate 76/(-14)*(-126)/(-54)*(-18)/36*3.
19
What is (42 + 68940/(-720))/(5/(-4))?
43
What is (-44)/(-1) - (50 + -132 + 64)?
62
Evaluate 25449/(-499) + (31 - -3).
-17
Calculate (-8)/(-26)*(68 - (-2 - -73)).
-12/13
What is -2*(-5)/(-20)*((-7712)/296 - -26)?
1/37
What is the value of (-4 - (-255)/21)*1386/(-594)?
-19
Evaluate 2000/(-1740) - 259/333*(-6)/4.
1/58
Evaluate (42/(-280) - (-1189)/8700)*-795.
53/5
Calculate 242/154 + -1 - (-528)/7.
76
What is the value of -5 + (-6)/126 + (16 - (-6776)/294)?
34
What is (0/5)/17 + -24 + 3?
-21
Evaluate ((-411825)/(-38437))/((-10)/42).
-45
Calculate ((-681382)/(-3358) - 159) + (-2 - (-96)/46).
44
Evaluate (232/(-4) - -20 - 2) + 20.
-20
Evaluate (232/638)/((-4)/(-44)) - -15.
19
(2 + 5)*-171*(-10)/(-315)
-38
What is the value of (63388/1472 + 1 + -45)/((-1)/12)?
45/4
What is the value of (-3454)/869 - -1*(-20)/(-5)?
2/79
119/(-165) - (41/(-66) - (1206/(-396))/(-67))
-3/55
What is the value of 10692/3888*(-76)/(-11)?
19
(-37)/(13357/(-9348)) - (80/(-285)*-21 + -6)
26
142/(-234) - 0 - ((-12)/63)/(546/637)
-5/13
What is (-72)/8604 - 5720/59033?
-2/19
4 - (-1242)/(-315) - 167616/(-6720)
25
Calculate (-25327)/(-1178)*(32/40)/((-7)/5 - -1).
-43
Evaluate (-1064)/(-8) + (-92598)/366.
-120
What is the value of (-68)/(-10) + 560/(-39900)*-171?
46/5
Evaluate 61 + 32 + 29953/(-322).
-1/46
Evaluate (1/(-66))/(5274/9669).
-1/36
40/(-520)*962 + 39
-35
What is (-13092)/4364*(-1 + 238/234)?
-2/39
What is the value of 34/(-144) - (94 - 43197/459)?
-1/8
Calculate (-29778)/(-2127)*(-6)/(-4).
21
Evaluate 25920/(-12096)*((-70)/(-21) + -2).
-20/7
Calculate -72 - (-310420)/7956 - -33.
2/117
Calculate 7/((-12740)/(-504))*(9 + (-735)/90).
3/13
What is 7/(-12) + (36/(-42))/(13 - 1700/119)?
1/12
What is the value of -34 + (92/69*222/(-56) - 8/(-28))?
-39
Calculate ((666/(-198))/(-37))/(1/209).
19
Calculate ((-6157)/47 + 2/1)/3.
-43
What is the value of (2/(-7) - 8525/(-4774))*2/3?
1
What is the value of (-90)/(120/4)*2/78?
-1/13
What is the value of (51/(-34))/((-480)/(-11840))?
-37
127 + | {
"pile_set_name": "DM Mathematics"
} |
674891755 a composite number?
True
Is 3760751971 a prime number?
True
Is 121059997 prime?
True
Is 9625242463 a prime number?
True
Is 26408843297 a composite number?
False
Is 2160885403 composite?
False
Is 1542484091 composite?
False
Is 3133906957 a prime number?
False
Is 21254917 composite?
True
Is 10700545897 composite?
True
Is 21628108669 composite?
False
Is 858373261 composite?
False
Is 7246143283 a composite number?
False
Is 645129421 composite?
False
Is 5082641741 composite?
True
Is 33044150083 prime?
False
Is 17288297269 a composite number?
True
Is 46141391893 composite?
False
Is 113415853 a prime number?
True
Is 332378119 a prime number?
False
Is 329503477 a composite number?
False
Is 17788176577 a prime number?
True
Is 19769285161 prime?
False
Is 818188901 prime?
True
Is 148611767 a prime number?
True
Is 44966731 a composite number?
False
Is 544302571 a prime number?
True
Is 99447869 a composite number?
False
Is 561291019 a prime number?
False
Is 67950713459 prime?
True
Is 13809029983 a prime number?
False
Is 2609218979 a prime number?
True
Is 1610677759 a prime number?
False
Is 578266223 composite?
True
Is 28990318633 a composite number?
False
Is 102877731967 prime?
True
Is 64891933 a prime number?
False
Is 826088389 a composite number?
True
Is 1415455031 prime?
True
Is 2620547201 composite?
False
Is 35715416447 a composite number?
False
Is 2491577131 composite?
False
Is 1731050933 a composite number?
False
Is 228339889 a composite number?
True
Is 7677685781 a prime number?
True
Is 3044138281 composite?
False
Is 135618359 prime?
False
Is 37051858661 a composite number?
False
Is 798342263 a prime number?
False
Is 157998663107 prime?
True
Is 1998932989 composite?
True
Is 2829432898 composite?
True
Is 7227770687 a prime number?
False
Is 3218913247 prime?
False
Is 8217991541 composite?
False
Is 895218802 a composite number?
True
Is 10272793397 a prime number?
False
Is 10336847177 a composite number?
False
Is 5736721951 a composite number?
True
Is 30245526331 a composite number?
True
Is 342611177 prime?
True
Is 368718889115 a prime number?
False
Is 681900013 a composite number?
False
Is 480302981 a prime number?
True
Is 1504119299 prime?
True
Is 823420703 prime?
False
Is 3545962699 a composite number?
True
Is 5933964643 prime?
False
Is 60939953 a prime number?
False
Is 282809731 a prime number?
True
Is 1964987629 prime?
False
Is 59190010783 a composite number?
True
Is 3832478407 a prime number?
True
Is 4699002983 prime?
True
Is 121930808669 prime?
True
Is 33919641827 composite?
True
Is 639314326711 a composite number?
False
Is 668055031 a prime number?
False
Is 59851049491 composite?
False
Is 3731173489 a prime number?
False
Is 3535674386 a composite number?
True
Is 1057262803 a prime number?
True
Is 1641844393 a prime number?
False
Is 8063186519 prime?
True
Is 2791769326 a composite number?
True
Is 61663675721 composite?
True
Is 12709741 composite?
True
Is 49243600807 prime?
True
Is 198896287 prime?
False
Is 34509185791 a composite number?
False
Is 563475401 a prime number?
False
Is 1817441501 a prime number?
False
Is 385128889631 composite?
True
Is 3069750569 composite?
False
Is 1031972159 a composite number?
True
Is 3614421403 prime?
True
Is 169200839 composite?
True
Is 1942947371 prime?
True
Is 3401712551 a prime number?
True
Is 419207839 a composite number?
False
Is 32924438707 prime?
True
Is 7227764899 a composite number?
False
Is 837935533 a prime number?
False
Is 19093065727 a composite number?
True
Is 27074035249 a composite number?
False
Is 57467368159 a prime number?
False
Is 1559308631 a prime number?
False
Is 177321403529 prime?
False
Is 137746753 composite?
False
Is 829121 a composite number?
False
Is 3535670338 prime?
False
Is 94084913311 prime?
False
Is 711863203 a composite number?
True
Is 8938213939 composite?
False
Is 2143125419 composite?
False
Is 4084789003 a composite number?
False
Is 33392101339 prime?
False
Is 3361294171 a prime number?
True
Is 2904703189 a prime number?
False
Is 8296585889 a prime number?
True
Is 787394239 composite?
False
Is 5918325799 a prime number?
False
Is 8637492119 prime?
True
Is 11251898951 prime?
False
Is 1904110513 composite?
False
Is 8928404447 a composite number?
False
Is 662062327 composite?
False
Is 448519189 prime?
True
Is 420362869 a composite number?
False
Is 10681376491 a composite number?
False
Is 292231691 composite?
True
Is 5508041971 prime?
True
Is 344694097 composite?
True
Is 2219422633 composite?
True
Is 6556635835 prime?
False
Is 445590857 a composite number?
True
Is 14825382419 a composite number?
False
Is 1563948563 a prime number?
True
Is 1912389883 composite?
False
Is 1685644133 composite?
False
Is 12574304807 composite?
True
Is 400976617 a prime number?
True
Is 316109243 composite?
False
Is 4879647985 prime?
False
Is 1266255391 composite?
True
Is 1731464753 a composite number?
False
Is 5631277555 a composite number?
True
Is 34980734171 a composite number?
True
Is 265480573 a prime number?
False
Is 11444594719 a composite number?
True
Is 66567294593 a composite number?
True
Is 28707287563 prime?
True
Is 95967153899 a prime number?
False
Is 24411715103 a composite number?
False
Is 19898355571 prime?
True
Is 36596244677 a composite number?
True
Is 84677233913 a composite number?
True
Is 12612680117 a composite number?
False
Is 95665315353 a composite number?
True
Is 2091189731 composite?
True
Is 7190858453 composite?
False
Is 3766389739 a composite number?
True
Is 1525811171 composite?
True
Is 20629915181 a prime number?
True
Is 66133796591 a prime number?
False
Is 349041337 prime?
True
Is 10721416291 prime?
True
Is 22753286977 composite?
False
Is 1749978403 a composite number?
False
Is 23990429651 composite?
True
Is 1221425423 prime?
True
Is 32222687227 a prime number?
True
Is 125116081 prime?
False
Is 33185123123 prime?
True
Is 25002433 prime?
True
Is 125865521 composite?
True
Is 53129717 a composite number?
False
Is 131819431493 prime?
True
Is 202850139677 prime?
True
Is 43867588043 composite?
False
Is 45843947 a composite number?
True
Is 48973744103 prime?
True
Is 3163939055 prime?
False
Is 614266031 a composite number?
False
Is 1360659161 composite?
True
Is 5464915007 composite?
True
Is 2149400335 a prime number?
False
Is 12260208559 composite?
False
Is 9697418 a composite number?
True
Is 15502996427 a prime number?
True
Is 141565744109 prime?
False
Is 9586897301 prime?
True
Is 97202442949 a composite number?
True
Is 4082533513 a composite number?
False
Is 7010578459 a composite number?
False
Is 2076373811 a composite number?
False
Is 2599015857 a composite number?
True
Is 14667260689 a composite number?
True
Is 1117392979 a composite number?
True
Is 4139588057 composite?
True
Is 2064869111 a prime number?
False
Is 26981195041 composite?
False
Is 99660572803 a prime number?
False
Is 163334783 prime?
True
Is 69792071053 composite?
True
Is 3459823097 a composite number?
True
Is 54192319 a composite number?
False
Is 388038886 prime?
False
Is 435905241 prime?
False
Is 1552165661 a prime number?
True
Is 455738909 prime?
True
Is 2944543033 a prime number?
True
Is 204050417 a composite number?
False
Is 10573930391 a prime number?
True
Is 156138131 a composite number?
True
Is 40567656653 prime?
True
Is 12939978517 a composite number?
False
Is 1128160733 composite?
True
Is 1859274163 a composite number?
True
Is 374034239 a composite number?
True
Is 671690011 prime?
True
Is 8271626477 a prime number?
True
Is 5000563277 a prime number?
False
Is 522935579 prime?
True
Is 1186058141 prime?
True
Is 2415092687 prime?
False
Is 3474417741 prime?
False
Is 2306023963 a prime number?
False
Is 563222159 a prime number?
False
Is 1593959849 a prime number?
True
Is 3050510369 composite?
False
Is 8882263967 prime?
True
Is 739220281 prime?
True
Is 2633866633 prime?
False
Is 81293027 prime?
False
Is 350195473 a prime number?
False
Is 247043341 prime?
False
Is 373176049 a composite number?
False
Is 103699755293 composite?
True
Is 558166957 composite?
True
Is 4971745873 a prime number?
True
Is 35270570923 composite?
True
Is 2542301591 a composite number?
False
Is 43016652113 a composite number?
False
Is 14483261339 composite?
True
Is 20887911047 composite?
False
Is 14915756717 composite?
Fal | {
"pile_set_name": "DM Mathematics"
} |
rt -0.623, 2/7, 2, -1 in increasing order.
-1, -0.623, 2/7, 2
Sort 2/9, 3/25, -0.4 in decreasing order.
2/9, 3/25, -0.4
Sort -0.02, 4, 2/13, 6/7, 5 in decreasing order.
5, 4, 6/7, 2/13, -0.02
Put 23, -8, 2, -2 in increasing order.
-8, -2, 2, 23
Sort -3, -4, 5, -1 in decreasing order.
5, -1, -3, -4
Put 3, -2, 1, -3 in descending order.
3, 1, -2, -3
Put -2, 25, -24 in increasing order.
-24, -2, 25
Put 260, 1/7, -0.2 in ascending order.
-0.2, 1/7, 260
Sort 11, 2, -14.
-14, 2, 11
Sort -4, 0, -1, 24.
-4, -1, 0, 24
Put -3, 5, 2, 0 in ascending order.
-3, 0, 2, 5
Sort 5, -2, 248.
-2, 5, 248
Sort 3, -32/13, 4, -3/2 in ascending order.
-32/13, -3/2, 3, 4
Put -1, -3, 12, -0.2 in descending order.
12, -0.2, -1, -3
Sort 1.4, -40/3, 1/10 in descending order.
1.4, 1/10, -40/3
Put -9, 4, 2, -3 in ascending order.
-9, -3, 2, 4
Put 0, -120, 2 in decreasing order.
2, 0, -120
Put 9, 6, 5, 4, 3 in descending order.
9, 6, 5, 4, 3
Put 2/35, 1/10, -5, -2/15, -1/3 in decreasing order.
1/10, 2/35, -2/15, -1/3, -5
Sort 1, 5, 266 in ascending order.
1, 5, 266
Sort -65, 3, -0.06 in ascending order.
-65, -0.06, 3
Put -1, -1.73, 0 in decreasing order.
0, -1, -1.73
Sort 1, -2, 5, 91, -6.
-6, -2, 1, 5, 91
Put 1, -1/2, 8/5, 5 in ascending order.
-1/2, 1, 8/5, 5
Sort -1/5, -3, -1, -2/5, 3.
-3, -1, -2/5, -1/5, 3
Sort -5, -2, 48 in ascending order.
-5, -2, 48
Put -12, 4, 3, 5 in descending order.
5, 4, 3, -12
Sort 5, 96, -8/7 in increasing order.
-8/7, 5, 96
Put 2/9, -1/2, -2, 5 in descending order.
5, 2/9, -1/2, -2
Sort 13, 11, -2 in ascending order.
-2, 11, 13
Put 0, 1029, 1 in descending order.
1029, 1, 0
Put -8, 36/5, -0.3 in descending order.
36/5, -0.3, -8
Put 31, 3, -23 in decreasing order.
31, 3, -23
Put -4, 5, 15 in decreasing order.
15, 5, -4
Sort 1, -1/2, -1/5 in increasing order.
-1/2, -1/5, 1
Put 3, -1, -1/6, -9, -5 in increasing order.
-9, -5, -1, -1/6, 3
Sort 25, 2, 0 in decreasing order.
25, 2, 0
Put -3/7, 1, 16, -1/9, 5 in decreasing order.
16, 5, 1, -1/9, -3/7
Put -3, 10, -9, -4 in ascending order.
-9, -4, -3, 10
Sort 8, -21, -4, 1 in ascending order.
-21, -4, 1, 8
Put -22, -2, 48 in decreasing order.
48, -2, -22
Put -0.1, 5, 4, 1/3, -179 in ascending order.
-179, -0.1, 1/3, 4, 5
Sort 0.5, 11, 2.
0.5, 2, 11
Sort -8, 0, 3.
-8, 0, 3
Put 4, -4, 6, 0 in ascending order.
-4, 0, 4, 6
Sort -3, 12, 0, -14, 9.
-14, -3, 0, 9, 12
Put 5, 3, -2/11, -5/4, -1/2 in descending order.
5, 3, -2/11, -1/2, -5/4
Put -3/7, 1/30, 5/3 in ascending order.
-3/7, 1/30, 5/3
Sort 1/6, -0.1, -1/3, 0 in decreasing order.
1/6, 0, -0.1, -1/3
Sort 5, 1/72, 4, 0.1.
1/72, 0.1, 4, 5
Put 16, 1, 3, -2/109 in increasing order.
-2/109, 1, 3, 16
Sort 1, 3/5, -5.2, 1/4, 1/2 in increasing order.
-5.2, 1/4, 1/2, 3/5, 1
Put 25, 0, -24 in descending order.
25, 0, -24
Put -971, -5, 2/13, 1/2, -4 in decreasing order.
1/2, 2/13, -4, -5, -971
Put 0, 105, -4, 15 in ascending order.
-4, 0, 15, 105
Put -0.2, -3/7, -0.17 in increasing order.
-3/7, -0.2, -0.17
Sort -24, -4, 3, -1.
-24, -4, -1, 3
Sort -5, 3, -26 in descending order.
3, -5, -26
Put -4, 91, -5, 0 in ascending order.
-5, -4, 0, 91
Sort 4, -1, 3403.
-1, 4, 3403
Put 92, -4, 12 in ascending order.
-4, 12, 92
Put 0.11, 0, 0.2, -14 in increasing order.
-14, 0, 0.11, 0.2
Sort 4, 0, 7 in increasing order.
0, 4, 7
Put 0, 88, -157 in decreasing order.
88, 0, -157
Put -148, 0.2, -6 in increasing order.
-148, -6, 0.2
Sort -4, -1.8, 0.8 in increasing order.
-4, -1.8, 0.8
Sort -2/305, 0.1, 1/3.
-2/305, 0.1, 1/3
Sort 8, -1/5, -4.
-4, -1/5, 8
Sort -21, 5, 1, -10, -5 in decreasing order.
5, 1, -5, -10, -21
Put -6/5, 4, -4/5 in decreasing order.
4, -4/5, -6/5
Sort 2, -5, -2.
-5, -2, 2
Sort 5, -29, -3, 1 in ascending order.
-29, -3, 1, 5
Put 3, -31, 16, 0, 5 in ascending order.
-31, 0, 3, 5, 16
Put 2/9, 4, -2 in ascending order.
-2, 2/9, 4
Sort 0, 18, 1 in ascending order.
0, 1, 18
Put 8, 82, 5 in descending order.
82, 8, 5
Sort -12, -2, 3, 0 in descending order.
3, 0, -2, -12
Sort -4, 0.1, 7, -15/2 in decreasing order.
7, 0.1, -4, -15/2
Put -0.1, -1, 121, 3, 0.2 in descending order.
121, 3, 0.2, -0.1, -1
Put 3, -0.1, 3/17, 0.2, -3/2 in ascending order.
-3/2, -0.1, 3/17, 0.2, 3
Put 21, -4, -65 in descending order.
21, -4, -65
Put 4, -2, 3, -54 in decreasing order.
4, 3, -2, -54
Sort 4, -109, -5, 0 in ascending order.
-109, -5, 0, 4
Put -26, -6/5, -3, 1/2, -3/5 in descending order.
1/2, -3/5, -6/5, -3, -26
Sort 2, -0.22, 3/4, -33.
-33, -0.22, 3/4, 2
Sort -1/6, -0.3, -4, -108 in increasing order.
-108, -4, -0.3, -1/6
Sort 3/4, -2/3, 63, 5.
-2/3, 3/4, 5, 63
Sort 0.01, -0.2, 2, -31 in decreasing order.
2, 0.01, -0.2, -31
Put 0, 1, -3, -592 in increasing order.
-592, -3, 0, 1
Sort -5, 46, 1 in descending order.
46, 1, -5
Sort 2, -7, -2, -3 in decreasing order.
2, -2, -3, -7
Sort 2, 3, -3, 5, -5 in ascending order.
-5, -3, 2, 3, 5
Sort -1, 143, 1 in ascending order.
-1, 1, 143
Sort 5, 6, -1 in descending order.
6, 5, -1
Put 338, 1, 2, -4 in ascending order.
-4, 1, 2, 338
Sort 128, 1, 0 in ascending order.
0, 1, 128
Sort -61, -3, 1 in decreasing order.
1, -3, -61
Put 2/5, 22, -2/5, 8 in descending order.
22, 8, 2/5, -2/5
Sort 1, -570, 3 in decreasing order.
3, 1, -570
Put -52, 1, -2, -32, -1 in descending order.
1, -1, -2, -32, -52
Sort 1, 1073, 4 in descending order.
1073, 4, 1
Sort 5/2, 5, -1, 4 in increasing order.
-1, 5/2, 4, 5
Sort -5, -5/6, -8, -2, 2/3.
-8, -5, -2, -5/6, 2/3
Sort 4, 1, -6, 4/41.
-6, 4/41, 1, 4
Put 2/3, -2/3, -2, 1.6 in descending order.
1.6, 2/3, -2/3, -2
Sort 0.7, 5, -0.4, 3, 44 in decreasing order.
44, 5, 3, 0.7, -0.4
Put 0, 5, 16, -2 in descending order.
16, 5, 0, -2
Sort 0.01, 5, 0.26, -1.
-1, 0.01, 0.26, 5
Put 3, -10, -5, -2 in descending order.
3, -2, -5, -10
Put -6, 3, 13 in decreasing order.
13, 3, -6
Put 2, -16/5, -4/9, 5 in ascending order.
-16/5, -4/9, 2, 5
Sort 1, -0.4, 11, 0.1, -8 in increasing order.
-8, -0.4, 0.1, 1, 11
Put -2/11, 31, 0 in decreasing order.
31, 0, -2/11
Sort 5, -1, -26, -2 in decreasing order.
5, -1, -2, -26
Put 5, -2, -3, -12, 10 in decreasing order.
10, 5, -2, -3, -12
Sort -10, -6, 1 in decreasing order.
1, -6, -10
Sort 0.18, -2/37, 0.5.
-2/37, 0.18, 0.5
Sort -1, 1, 15 in ascending order.
-1, 1, 15
Put 0.2, -3, -12 in increasing order.
-12, -3, 0.2
Put -5, 18, -3, -1 in decreasing order.
18, -1, -3, -5
Sort 3, 4, -1, 2 in increasing order.
-1, 2, 3, 4
Put 9, -1, 23 in descending order.
23, 9, -1
Sort 3, 2, -7.
-7, 2, 3
Sort -3/5, 3/5, -26 in decreasing order.
3/5, -3/5, -26
Sort -4, -2, 22, 4, -17 in ascending order.
-17, -4, -2, 4, 22
Put 3, 65, 7, -3 in decreasing order.
65, 7, 3, -3
Sort 2, -0.4, -16 in decreasing order.
2, -0.4, -16
Sort -2, 39, -3, 2 in decreasing order.
39, 2, -2, -3
Put 0, 834, 0.3 in increasing order.
0, 0.3, 834
Put 16/3, 0.5, 1/5, -1/4, -2/7 in descending order.
16/3, 0.5, 1/5, -1/4, -2/7
Sort -5, -281, -1 in ascending order.
-281, -5, -1
Put 0.5, -0.13, 0, -1/4 in ascending order.
-1/4, -0.13, 0, 0.5
Put 3/8, -3, -5, 2 in descending order.
2, 3/8, -3, -5
Sort 9, 27, -1, 0 in ascending order.
-1, 0, 9, 27
Sort 2, -8, -54.
-54, -8, 2
Sort 0.4, -2/25, -0.4, 30.
-0.4, -2/25, 0.4, 30
Sort 2, 0.551, -5 in descending order.
2, 0.551, -5
Sort 11, -2, -3.
-3, -2, 11
Put 0.5, 541, 0 in descending order.
541, 0.5, 0
Sort -3, 3, 1/6, -2/9 in descending order.
3, 1/6, -2/9, -3
Sort -968, 8, -4.
-968, -4, 8
Put 2, -1, -4, -2 in ascending order.
-4, -2, -1, 2
Sort 16, -3, -29 in increasing order.
-29, -3, 16
Sort -3, 493, 3 in decreasing order.
493, 3, -3
Put 2, -59, 0, -11, 3 in descending order.
3, 2, 0, -11, -59
Put -3, 2, 35, 1 in ascending order.
-3, 1, 2, 35
Sort -1/5, 4, -0.1 in decreasing order.
4, -0.1, -1/5
Put 4, 1, -4, 0, -16 in descending order.
4, 1, 0, -4, -16
Put 2/7, 91, -1/10, 0.2, 2 in decreasing order.
91, 2, 2/7, 0.2, -1/10
Sort -2, 20, 3, -3 in decreasing order.
20, 3, -2, -3
Sort 2, -9, 5, -1, 12.
-9, -1, 2, 5, 12
Sort -48, -4/5, 4, -1/4, 3/7 in descending order.
4, 3/7, -1/4, -4/5, -48
Sort -4, -2, -0.4, -16, 2/7.
-16, -4, -2, -0.4, 2/7
Put 2, -15/14, 20/11 in increasing order.
-15/14, 20/11, 2
Sort -6, 5, 237 in descending order.
237, 5, -6
Put -1, 0.1, -1/16 in increasing order.
-1, -1/16, 0.1
Sort -281, 5, -5, 4.
-281, -5, 4, 5
Put 0, -2, 2/15, -43 in descending order.
2/15, 0, | {
"pile_set_name": "DM Mathematics"
} |
- b. Suppose -21*u = -r*u + 46. What are the prime factors of u?
2, 23
Let g be 2 - 12/2 - 5*12. Let k = -10 - g. List the prime factors of k.
2, 3
Let a(r) = 4*r - 30. Let c be a(6). Let n be (-40)/((-2)/c*3). Let l = -7 - n. What are the prime factors of l?
3, 11
Let q = -40 + 44. Suppose 7*m - 150898 = -q*m. List the prime factors of (-2)/9 - m/(-171).
2, 5
Suppose 0 = 333*d - 198378 + 15228. Suppose -3*x - 2*u + 1105 = 0, 5*x - 3*u - 1859 = -2*u. Let w = d - x. What are the prime factors of w?
179
Suppose -159*f = -151*f - 378552. What are the prime factors of f?
3, 15773
Let p(d) = 2074*d - 289. Let c(l) = 43*l - 6. Let b(v) = -289*c(v) + 6*p(v). Let k be ((-2)/(-3))/((-1)/(-9)). What are the prime factors of b(k)?
2, 3, 17
Let o = -1315 + 1850. Suppose 18*z + o = 6079. What are the prime factors of z?
2, 7, 11
Suppose -58*n + 52*n = -24870. List the prime factors of n.
5, 829
Suppose -9*a + 6020 + 31330 = 0. List the prime factors of a.
2, 5, 83
Let t(u) = 3*u**3 - 10*u**2 - 3*u + 73. List the prime factors of t(9).
1423
Suppose -130*d + 135*d = 4010. Let v = 1316 - d. What are the prime factors of v?
2, 257
Suppose -2*v = r - 27696, 41533 = 3*v + 464*r - 468*r. What are the prime factors of v?
61, 227
Suppose 36*m - 2207628 = 32076. What are the prime factors of m?
2, 3, 10369
Suppose 5*l - 2*l - 6 = 0. Suppose 0*s - l*s = 0. Suppose 128 = 2*q - 4*y, s = 4*y - 2*y. List the prime factors of q.
2
Suppose 3*w + 21 = 0, -80*d - 161158 = -83*d - 2*w. List the prime factors of d.
2, 3, 11, 37
Let y be -1 + 0 + 7/((-49)/(-42)). Suppose y*a = 273 + 632. List the prime factors of a.
181
List the prime factors of (-1071441)/(-35) - (-2)/25*5.
11, 23
Let q be 0/(3 + -6) + 3. Suppose -4*f + q*d + 385 - 60 = 0, -2*d = 2*f - 180. List the prime factors of f.
5, 17
Suppose 2*y + 2*y - 532 = 2*q, 241 = -q - 3*y. Let j = -172 - q. Suppose 5*m - x = 98, -3*m + 2*x - j = -7*m. What are the prime factors of m?
2, 5
Let s(k) = 3*k**3 - 6*k**2 + 7*k. Let a be s(3). Let f = a + -38. What are the prime factors of 36/60 - (-664)/f?
67
Let v = 15149 + -7628. Suppose -15*m - v + 23241 = 0. What are the prime factors of m?
2, 131
Let z be (-18)/(-8)*((-35)/(-15) + -1). List the prime factors of (18/(-12)*-2)/(z/201).
3, 67
Let f be (7/(-21))/(2/(-114)). Suppose -3*a + 9 = 3*x, 4*x - f = 2*a + x. Let q = a - -26. What are the prime factors of q?
2, 3
Suppose -13 = -3*k + 2*k + 3*z, 0 = 4*k + 3*z + 8. Let i be k*(-27)/(-6)*(-12)/18. What are the prime factors of -4 - (-151 + 4 + i)?
2, 73
Suppose -59*d - 190392 + 794245 = -678453. List the prime factors of d.
2, 10867
Let q(x) = x**3 + 34*x**2 + 38*x + 389. What are the prime factors of q(-17)?
2, 3, 97
Let t(a) = 12*a**2 - 96*a - 348. List the prime factors of t(35).
2, 3, 229
Let g = 60554 + -41473. What are the prime factors of g?
19081
Suppose 15*y + 301648 = 49*y. List the prime factors of y.
2, 1109
Let x(n) = -7*n**3 - 5*n + 3. Suppose -16 = 4*y - 2*t - 4, -t = 4*y. Let f(v) = v**3 + v**2 + v. Let r(h) = y*x(h) - f(h). List the prime factors of r(2).
7
Suppose 2*x - 8 = -0*x, -5*r = 5*x + 70. List the prime factors of (-2)/(-3)*262*r/(-24).
131
Let v be (6/10)/((-19)/(-285)). Suppose -v = -3*b, -257 = -4*r + b + 488. What are the prime factors of r?
11, 17
Suppose -m + 5761 = 4*v, 243*v = 239*v - 4*m + 5752. List the prime factors of v.
11, 131
Suppose 2*m - 3652 = 5*f, 5*m - 2734 - 6291 = -5*f. List the prime factors of m.
1811
Suppose -23*d - 2*d + 83350 = 0. Suppose -3*w + 8290 = 5*h + 2*w, 2*h - d = 4*w. List the prime factors of h.
11, 151
Let g(r) = -13*r**2 + 4 - 5*r + 26*r**2 - 9*r**2. Let v be g(1). Suppose 3*x - 604 = 2*k, -k + v*k = -x + 212. List the prime factors of x.
2, 3, 17
Suppose x + 200 = 2*k, 5*k + 0*x + 2*x - 518 = 0. Let v be -3 + k/(((-18)/(-21))/(-3)). List the prime factors of (22/6)/((-20)/v).
2, 3, 11
Let d(l) = 161*l**3 - 9*l**2 + 55*l + 7. What are the prime factors of d(3)?
2, 7, 317
Suppose j - 3*y + 11 = 0, 0 = 3*j + 3*y - 5 - 22. Suppose -4*r - 1492 = -4*k, 3*k + 2*k + j*r = 1856. Let u = k + -254. List the prime factors of u.
2, 59
Let j(z) = -2*z**3 + 4*z**2 - 5. Let q be j(2). Let m(c) = -c + 2. Let a be m(5). What are the prime factors of a/q - (-21340)/100?
2, 107
Let f(u) = -121*u + 9075. What are the prime factors of f(-156)?
3, 7, 11
Suppose 6*d = 4*d + 10. Let h be 1 + 1/(5/d). Suppose 3*u - 246 = -2*u - h*o, u - o = 45. List the prime factors of u.
2, 3
Let g(r) = 8*r + 246. Let w be g(-30). Suppose -w*c + 9*c - 2040 = 0. List the prime factors of c.
2, 5, 17
Let c(b) = b + 48. Let q(w) = w**3 + 5*w**2 - 6*w + 7. Let r be q(-6). Suppose f = -3*k - r, 5*f = k + 4*k - 95. What are the prime factors of c(f)?
2
List the prime factors of 11 + 762230/21 - (-28)/21.
3, 7, 13, 19
Let f(k) = 308*k**3 + k**2 - 2. Let p be f(-1). Let y = p - -476. List the prime factors of y.
167
Suppose 92*n + 19*n - 653457 = 0. List the prime factors of n.
7, 29
Let q be (-18)/(3 - (4 + 0 + 0)). What are the prime factors of (307/(-3))/((-60)/q + 3)?
307
Let a = -19214 + 31622. List the prime factors of a.
2, 3, 11, 47
Let b = -9 + 15. Suppose 0 = -b*d + 11*d + 90. List the prime factors of d/90 - 822/(-10).
2, 41
Let u(w) = -6*w**2 - 49*w - 11. Let k be u(-7). Suppose -39*t = -k*t - 808. List the prime factors of t.
2, 101
Suppose -3*s = -3*r - s + 3814, 0 = -4*r - s + 5100. Suppose 0 = 4*j + 3*j - r. List the prime factors of j.
2, 7, 13
Suppose 34*a + 2*a + 81*a = 1775358. List the prime factors of a.
2, 3, 281
Suppose -182658 - 895342 = -40*i. What are the prime factors of i?
2, 5, 7, 11
Suppose 18*g - 13*g = 0. Suppose g = 2*o + c - 509, 0 - 2 = -2*c. List the prime factors of o.
2, 127
Let l = 119 + -105. Suppose 19*d - 12*d - l = 0. Suppose 4*s + 20 = 0, 2*p + d*s = -s + 369. What are the prime factors of p?
2, 3
Suppose -4*k = -203 - 253. Let h = k + -110. Suppose 0*t = 2*o + 3*t - 59, -98 = -h*o - 2*t. List the prime factors of o.
2, 11
Let q(u) = 4*u**2 - u + 2. Let y be q(3). Let k = y - 31. Suppose 4*x - 3*n = -0*x + 119, 3*n - 137 = -k*x. What are the prime factors of x?
2
Let w(g) = 39*g + 2. Let h be (-38)/(-95) - -43*(-2)/(-10). What are the prime factors of w(h)?
353
Suppose l = 4*j - 149, -7*l + 8*l + 194 = -5*j. Let m = l - -294. What are the prime factors of m?
5
Let f = 229 + -223. List the prime factors of -15*(111/(-5) - f).
3, 47
Let c be ((-1)/(4 - -1))/(3/(-7485)). Suppose 0 = z - 71 - c. List the prime factors of z.
2, 3, 5, 19
Let y(m) = m**2 - 3*m - 1. Suppose 26 = 9*h - 118. Let d = h - 3. What are the prime factors of y(d)?
3, 43
Let k(t) = 218*t**2 + 36*t - 107. What are the prime factors of k(6)?
73, 109
Let r = 70 - 68. Suppose -5*s + 3721 = 2*c, -4*c - 5*s = -r*s - 7463. List the prime factors of c.
2, 467
Let n(m) = -106*m**3 + 12*m**2 + m - 5. List the prime factors of n(-4).
6967
Let t = 12458 + -3283. List the prime factors of t.
5, 367
Let j(m) = m**3 - 10*m**2 - 12*m + 1. Suppose 37 = -3*i + 70. Let s be j(i). What are the prime factors of 2*46 + 0/s?
2, 23
Let t = 1501 + 1195. What are the prime factors of t?
2, 337
Let w(k) = 2*k**2 + 13*k + 13. Let i(q) = 3*q**2 + 19*q + 19. Let a(b) = -5*i(b) + 7*w(b). Let d be a(-1). What are the prime factors of (d + -3)*656/(-64)?
41
Suppose -v = -7*s + 331324, 43*v = -4*s + 39*v + 189360. What are the prime factors of s?
11, 13, 331
Let z(u) = -u**2 + 13*u + 11. Suppose 5*q + 156 + 59 = 0. Let f be q/(-4) + 11/(-4) + 3. List the prime factors of z(f).
3, 11
Let v = 58 - 53. Suppose -1116 = 9*m - v*m. Let j = m - -405. List the prime factors of j.
2, 3, 7
Suppose 128 = -4*h - 400. Let d = h + 95. Let o = 117 - d. What are the prime factors of o?
2, 7, 11
Let u(k) be the second derivative of -7*k + 0 + 7/2*k**2 - 5/2*k**3. List the prime factors of u(-1).
2, 11
Let q be (-1)/(-2)*(-2 + 8). Suppose -47 + 16 = -5*z - 3*m, -3*z + 11 = -2*m. Suppose -t - 3*t + 282 = 3*p, -z*t - 309 = -q*p. List the prime factors of p.
2, 7
Let w be 164/((-51)/(-15) - 3). Suppose 5 = m, 2*z = 7*z - 5*m + 5. Suppose -4*h - 56 = 2*o - 456, 0 = -z*h + 3*o + w. What are the prime factors of h?
101
Let w(g) be the first derivative of 11*g**4 - 7*g**3/3 + g**2/2 + g + 159. What are the prime factors of w(3)?
1129
Let t(m) = -m**2 + | {
"pile_set_name": "DM Mathematics"
} |
57348 and d?
59
Let n be (-54)/((-8)/72 - (-1)/(-9)). Let o = n + -213. Let l be 20/(-6)*(-3)/1. What is the greatest common factor of o and l?
10
Suppose 2*k - 41 = -2*w + 71, 3*k = 4*w - 210. Calculate the greatest common divisor of w and 288.
18
Suppose 1400 = -12698*c + 12703*c. Calculate the highest common divisor of 520 and c.
40
Suppose 247*z - 301*z = 306*z - 70200. Calculate the greatest common factor of 975 and z.
195
Let u(l) = -l**3 + 2*l**2 + 5*l - 6. Let j be u(3). Suppose 4*w - 4*m - 132 = 0, w - 8*m + 6*m - 35 = j. Calculate the highest common factor of 589 and w.
31
Let m(l) = 109*l**2 - 223*l**2 + 113*l**2 + 11 + 2*l**3 + 4*l. Let t be m(5). Calculate the greatest common factor of t and 16.
16
Let y be 2*1*-2 - (58 - 87). Suppose 2*s = -12*w + 16*w + 10, s + 2*w - y = 0. Suppose 55 = -5*h + 205. What is the greatest common factor of s and h?
15
Let q(j) = -j**3 - 79*j**2 - 9*j - 251. Let b be q(-79). Calculate the greatest common factor of b and 1265.
115
Suppose -3*f + 3*l = -579 - 402, 0 = f + 4*l - 312. What is the highest common divisor of 69 and f?
3
Suppose -2056 = -37*v + 36*v + d, -d = -3*v + 6170. What is the greatest common factor of 204 and v?
17
Let q be 72*(4 + 16/(-12)). Suppose -12 = -371*i + 367*i. Calculate the highest common divisor of q and i.
3
Let k(d) = 5*d + 35. Let q = 276 - 278. Let c be k(q). What is the greatest common divisor of c and 1325?
25
Let q be (19 - -2)*(-12)/(-14). Let l be (32/(-6))/(28/(-63)). Calculate the greatest common divisor of q and l.
6
Suppose -z = 4*l - 76, 0*z + 5*l - 271 = -4*z. What is the highest common divisor of 5184 and z?
64
Let g be (5/((-10)/39) - -2)*-6. Suppose 5*y = -s - 4*s + g, 0 = -s - 4*y + 21. Calculate the greatest common divisor of s and 84.
21
Let i(h) = -1231*h - 7338. Let y be i(-6). Calculate the greatest common factor of 4464 and y.
48
Let y be (50/55)/5 - (-592)/11. Let t be 2208/9 + 378/(-162). Calculate the greatest common factor of t and y.
27
Suppose -4*z = r - 288, -12*z - 216 = -15*z - 3*r. Suppose m - 22 = -0*m. Suppose 3*a - m = 14. Calculate the highest common factor of a and z.
12
Let i be (-4)/((-32)/(-762))*4. Let p = -253 - i. Calculate the highest common divisor of 288 and p.
32
Let v(c) = -77*c - 81*c**3 - 2*c**2 + 12 + 39*c + 46*c. Let k be v(-2). Calculate the greatest common divisor of k and 12.
12
Let t(z) = 23*z**2 + 379*z + 10. Let f be t(-18). What is the greatest common factor of f and 1152?
128
Suppose h - 5*r + 1 = 0, -2*h + 14*r - 15*r + 42 = 0. What is the greatest common divisor of h and 1216?
19
Let n be 8/6 + (14/(-105))/((-24)/109740). Calculate the highest common factor of n and 312.
13
Let u be (-16*4/20)/((-4)/1310). What is the highest common divisor of u and 2?
2
Let l(v) = -32*v - 1651. Let b be l(-93). Calculate the highest common factor of b and 75.
25
Suppose -4*q + 9*q - 405 = 0. Let v(d) = -d**3 - 5*d**2 + 3*d - 6. Let f be v(-7). Let w = 80 - f. What is the highest common factor of w and q?
9
Suppose 0 = 3*x - 5*x - 2*q, 2*q = x. Suppose x = 7*y + 39 - 46. Suppose -7*j - 4 = 4*n - 3*j, -3*j - 13 = -2*n. What is the greatest common factor of y and n?
1
Let c(w) = 3*w**2 + 31*w + 170. Let i be c(-11). What is the highest common divisor of 80 and i?
16
Let m(o) = o**2 - 6*o + 16. Let y be m(8). Let u = -85 + 165. What is the highest common factor of u and y?
16
Let k(o) = -66*o**3 - 4*o**2 - 22*o - 56. Let a be k(-4). What is the greatest common factor of a and 32?
32
Let f(w) = 2*w**2 + 38*w + 1533. Let u be f(0). Calculate the greatest common divisor of 168 and u.
21
Let k be 5/(-5)*3*-2. Let n be ((-16)/(-32))/((-1)/k). Let x be 4/6 - (34/n - 0). Calculate the greatest common divisor of x and 12.
12
Let o be 12/6 - 26 - -7. Let n(q) = q**2 + 13*q - 28. Let c be n(o). Let i be (-1)/2 + 18/4. What is the greatest common factor of i and c?
4
Let f = 10843 - 10061. What is the highest common factor of 460 and f?
46
Let t(s) = -s**3 + 46*s**2 - 182*s - 22. Let q be t(41). Let b = -427 + q. What is the highest common divisor of 76 and b?
38
Suppose -4*w + w - 9 = 0. Let c be -18*10/w + -5. What is the greatest common divisor of c and 44?
11
Let b = -407 + 409. Suppose -9*h + 238 = -5*h - 3*d, 4*d + 124 = b*h. What is the highest common factor of 145 and h?
29
Let k(w) = -145*w + 669. Let s be k(1). Calculate the highest common factor of s and 3275.
131
Let b be ((-245)/(-4))/(-5*(-4)/80). Let x be b/(-4) - 2/(-8) - -1. Let s = -53 - x. What is the highest common factor of 49 and s?
7
Let r be 8/(-2)*(-2)/(-4). Let f be 1/(-3)*(r + -4). Suppose f*i - 162 = -34. Calculate the highest common divisor of i and 16.
16
Suppose 14*a - 37 + 9 = 0. Suppose 0 = a*h + 46 - 48. Suppose h + 2 = x. What is the highest common factor of 27 and x?
3
Suppose 900 = 3*x + x. Suppose 36 = 10*d + 6. Suppose 8*n = d*n + x. What is the greatest common divisor of n and 15?
15
Let t = 146 + -93. Let s = -342 - -324. Let q be s/(-27) - ((-957)/9 - -1). Calculate the greatest common divisor of t and q.
53
Let a(b) = 16*b + b**2 + 10*b**3 - 11*b**3 + 6*b**2 + 19 + 4. Let q be a(9). What is the greatest common factor of q and 355?
5
Let q = -39847 + 43780. Calculate the highest common factor of q and 115.
23
Let r(p) be the second derivative of -8*p**3/3 + 57*p**2 + 3*p - 23. Let l be r(6). What is the greatest common divisor of l and 12?
6
Let r be 4/14 - (-514)/14. Let l(q) = q**2 - 6*q - 8. Let j be l(8). Let k be (-444)/j*(-4 - (-1 + -1)). What is the greatest common factor of r and k?
37
Let v(i) = 2*i**2 - 7*i - 7. Let c be v(7). Suppose 0 = 3*q - 6, 5*o + 6*q = 11*q + 200. What is the greatest common divisor of c and o?
42
Let p(s) = 3*s - 7 - 8*s - 2*s - 35*s**2 + 34*s**2. Let l be p(-5). Suppose 11*u - 8 = l*u. What is the greatest common divisor of 2 and u?
1
Suppose 459 = 89*g - 72*g. Let w(a) = a**2 - a. Suppose -d + 1 + 2 = 0. Let n be w(d). What is the highest common divisor of n and g?
3
Suppose -3*u + u = -504. Suppose g + 4*g - 4*l + 418 = 0, 3*g - 3*l + u = 0. Let n be (g/(-6) - -1)*(-3)/(-2). What is the highest common divisor of n and 176?
22
Let y(u) = u**3 - 21*u**2 + 95*u + 42. Let h be y(18). Calculate the highest common divisor of h and 16.
4
Suppose 2182*w = 2183*w - 18. Let d be (3/(-2))/((-3)/(-8)). Let m(c) = c**3 + 5*c**2 + 5*c + 6. Let h be m(d). What is the highest common divisor of h and w?
2
Let k(j) = -5*j**3 - 6*j**2 - 8*j - 42. Let x be k(-5). Calculate the highest common factor of 1075 and x.
43
Suppose -60424 = -5*h - 3*t, 0 = -236*h + 240*h - 5*t - 48280. Calculate the highest common divisor of 80 and h.
80
Let f(p) = -p - 1. Let q(s) = 2*s**2 + 7*s - 9. Let z(h) = 3*f(h) + q(h). Let k be z(-6). What is the greatest common factor of k and 48?
12
Let x be (-8*10)/((-27 - -66) + -41). Calculate the highest common factor of x and 5584.
8
Let q(n) be the first derivative of 17*n**2/2 - 104*n - 155. Let r be q(7). What is the highest common divisor of r and 375?
15
Let p = 94 - 148. Let t be (-16)/(-6)*p/(-8). Suppose -2766*q - 4554 = -2789*q. What is the highest common divisor of t and q?
18
Suppose -4*f + 22 = o + 2, -3*f - 2*o = -20. Suppose 5*v = 2*y - f*y + 39, -5*y = v + 6. Let d = v + 3. Calculate the highest common divisor of d and 60.
12
Let r be 22*(26 + -24) - -24. Suppose -2*x + 35 - 1 = 0. Let a = x - -34. What is the greatest common factor of a and r?
17
Let n(p) = 5*p + 52. Suppose 51*q - 80 = 59*q. Let s be n(q). What is the greatest common divisor of 28 and s?
2
Suppose 2*b - 4 = 0, 16*a + 2*b = 21*a - 21. Suppose -3*p + 7*p + 330 = d, -3*d - a*p + 1041 = 0. What is the greatest common divisor of d and 18?
18
Let z be ((-6)/12)/((-2)/56). Suppose -66 = -o - z. Suppose k + 3*k - 52 = 0. What is the highest common divisor of k and o?
13
Let p = -4 + 7. Let w be 56/p + (-2)/3. Suppose 3*s - 472 = -2*r, 4*r + 137 + 701 = 5*s. What is the greatest common factor of s and w?
18
Let p = 74 + -83. Let s be 138*p/(-4)*2/3. What is the greatest common divisor of 46 and s?
23
Let v = 57 + -101. Let f be v/(-10) - (-14)/(-35). Let a(w) = 3*w - 62. Let q be a(22). Calculate the highest common factor of f and q.
4
Suppose 0 = 5*y + 21*y + 130. Let r be y/(2*-5) - 58/(-4). What is the greatest common divi | {
"pile_set_name": "DM Mathematics"
} |
t?
5910
Let j(h) = -9*h**2 - 2*h - 1. Let d be j(1). What is the common denominator of (-18)/336*d*11 and -95/4?
28
Let f = 3003 + -12107/4. Let g(s) = s**2 + 15*s + 33. Let b be g(-12). Find the common denominator of f and (b/(-135))/((-10)/1335).
60
Calculate the lowest common multiple of 80 and (-3113 + 3111)/(0 + (-2)/122*2).
4880
Let w(i) = -12*i**3 - 2*i**2 - 4*i - 7. Let q be w(-5). Let o = 7279/5 - q. Let k = -300581/260 + 4625/4. Calculate the common denominator of k and o.
65
Let j = 220 - -200. Calculate the common denominator of ((-2751)/j)/(24/10) and 107/24.
48
Let p = 100/13 - -10967/26. Let i = 23257/54 - p. Find the common denominator of i and 10 + (-5)/(150/257).
270
Let n be 6/(-11) + 546/33. Suppose 3*h - n*h = -208. Suppose 4*j + 10 = 2, 2*t - 16 = -2*j. Calculate the lowest common multiple of h and t.
80
Let z = -1877 - -2069. Calculate the lowest common multiple of z and 192.
192
Let l(s) be the third derivative of -s**5/60 - 9*s**4/8 - 7*s**3/3 + 21*s**2. Let d be l(-22). What is the common denominator of (-1)/((-45)/d) - 0 and -73/12?
60
What is the common denominator of 63/800 and (((-1078)/(-80))/(-49))/(-8)?
1600
Suppose z + 2 = 0, g - 6*g + 1528 = -4*z. Let f(n) = -5*n**2 - 303*n - 1284. What is the least common multiple of g and f(-56)?
304
Let u = 4249 - 114709/27. Let n = -3600 + -167. Let l = n + 124331/33. Find the common denominator of l and u.
297
Find the common denominator of -93/382 and (-2)/(-15) + 31442/3160.
2292
Let y = -12662 - -13589. Calculate the lowest common multiple of y and 2163.
6489
Suppose -v + 5*o - 19 = 0, -9*v + 6*v + 3*o + 39 = 0. What is the lowest common multiple of 7467 and v?
52269
Let o be 5*4/30*-3. Calculate the common denominator of (-1424)/32*(o/2 - 0) and 22/57.
114
Calculate the least common multiple of (-1349824)/(-1380) + (-8)/60 and 12.
1956
Suppose 3*g + 2*z - 187 = 0, 30*g + 190 = 33*g - z. Calculate the least common multiple of g and 469.
4221
Find the common denominator of (444/(-114) - (2 - 6)) + 7773/(-3990) and 61/830.
5810
Let g be 4 + -1 - (-27)/(-3). Suppose 0 = -k - 2, 3*j + 2 = -4*k. Calculate the smallest common multiple of 40 and g - -52 - (j + 0).
440
Let l(d) = -d**3 + 14*d**2 - 37*d + 26. Let n be l(11). What is the common denominator of 65/36 and 7/n*(-138)/30?
180
Let f = 74901/44 - 6829/4. Let i = -41631/208 + 2528/13. Calculate the common denominator of f and i.
176
Let j = 189 - -41. Suppose -10 = -3*s - 4. What is the least common multiple of s and j?
230
Let s = -160 + 162. Let p(w) = w**2 - 5*w - 4. Calculate the lowest common multiple of p(7) and (s/(-18))/((-2)/18).
10
Suppose 0 = -i - 2*c + 170 + 1776, -5*i = 4*c - 9742. What is the lowest common multiple of i and 52?
3900
Let y = 8265 + -7845. Calculate the lowest common multiple of y and 300.
2100
Let f(v) = -2*v - 1. Let n be f(-1). Let a = 5568 - 5550. Calculate the least common multiple of 4 + -6 + (12 - n) and a.
18
Let x = -40627/8026832 + -2/8503. What is the common denominator of x and 31/8?
944
Let o = -858903/1177222 - -164/227. Find the common denominator of o and -23/3.
15558
Suppose 0 = a - 0 - 12. What is the common denominator of ((-4)/a)/((-13)/((-22815)/350)) and 43/8?
280
Let k(x) = -152*x + 14. Let u be k(-12). Suppose -32*y + u + 562 = 0. Calculate the least common multiple of y and 25.
75
Let h(w) = -w**3 - 27*w**2 - 4*w - 35. Let c be h(-27). Suppose 5*k = -c + 418. What is the lowest common multiple of 6 and k?
138
Let p = -38 + 35. Calculate the least common multiple of (0 + p + 2)*-3 and (-236)/(-30) + (-10)/(-75).
24
Suppose -7*g + 5 + 30 = 0. Let j be 2/9 - (224/36 - g). Calculate the common denominator of (4 - 2) + j*(-207)/(-6) and 44/7.
14
Suppose -1372 = -2*m - 5*n, -2*n + 1970 + 742 = 4*m. What is the least common multiple of 16 and m?
2704
Suppose 0*z = 3*o - z + 420, -2*z = 0. Let s = -1119/8 - o. What is the common denominator of (138 - 1)*1/(-18) and s?
72
Let f(a) = -5*a**3 - 7*a - 10*a + 6*a**3 + 7*a**2 + a + 19. Let m be f(-9). Calculate the common denominator of -3 + m + (-580)/(-165) and 32/5.
165
Let t = 173 - 353. What is the common denominator of 10/30*(-426)/(-40) and (-3)/9 + (12243/t)/(-11)?
20
Calculate the common denominator of 1*(-15)/4*616/(-4851) and 97/24.
168
Let w = 35970 - 791385/22. Let s = -29 - -291/10. What is the common denominator of w and s?
110
Suppose -3*w + 13 = 2*m, 2*w + 3 = -m + 2*m. Suppose 5 = -5*i + 5*s - s, 3*s = m*i. Let x = i + 15. Calculate the least common multiple of x and 33.
198
Suppose -5*i = 15, -19*a + 23*a - i - 235 = 0. Suppose g - r = 28, -g + 2*r + a = 35. Calculate the lowest common multiple of 9 and g.
99
Let l = -926 - -921. Find the common denominator of -5/72 and (-3717)/(-1080) + l + 5 + -4.
360
Let g = -186 - -249. Suppose x = 8*x - 196. What is the least common multiple of g and x?
252
Suppose 4*y - 3*i - 41 = -0*y, 4*i = 4*y - 44. Calculate the smallest common multiple of (222/(-2))/((27/(-30))/((-60)/(-50))) and y.
296
Let x = -11161 + 20367. Let q = 202493/22 - x. Let d = 14985/6578 - -12/299. What is the common denominator of q and d?
22
Let y = 107 + -87. Suppose 0 = -4*w - 5*u - 179 + y, 2*w = u - 69. Find the common denominator of w and (-91)/8 + -2 + 1.
8
Suppose l = -9536 + 9792. Calculate the smallest common multiple of 32 and l.
256
Let a(r) = 4*r + 3. Calculate the lowest common multiple of (1 - 9)*1 - 14940/(-1660) and a(5).
23
Let y = 35637/8 - 4452. Find the common denominator of y and 3/200.
200
Suppose 5*b + 4*l - 14191 = -4861, -l - 5 = 0. Calculate the least common multiple of b and 187.
1870
Calculate the common denominator of (-9)/(-2565)*(34335/(-98))/9 and -15/1064.
3192
Let v = -21 - -33. Calculate the common denominator of (164/(-24))/(6/v) and 71/9.
9
Let y = 46 - 53. Let j = y - -15. Calculate the lowest common multiple of 14 and (-3 - -7 - -2)*j/6.
56
Let p be (-2 - (-23867)/42)/((-2)/6). Let l = -1700 - p. Let s = -27017/26 - -1039. What is the common denominator of l and s?
182
What is the common denominator of 1/336 and (-195000)/(-43200)*(146/420 + 3/(-9))?
1008
Let x = 51397/8670 - -3/578. Calculate the common denominator of x and (-85)/66 - (-3)/(-6).
165
Calculate the common denominator of 37/50 and (-3 - ((-8)/(-36) - 3)) + 2995/11250.
250
Let c = -1910 + -389. Let v = 18363/8 + c. What is the common denominator of 1025/(-200)*4/(-3) and v?
24
Let q = 11621/5621 - -12/511. Let u be 1/(-3) + 87128/132. Let j = 663 - u. What is the common denominator of q and j?
11
Let u be 33/44 - 125/(-4). Calculate the common denominator of 0/(-3 + -1) + (-1)/3 and -2 + 11/(-54) + (-16)/u.
27
Let f = -62144 - -12117991/195. Find the common denominator of 61/120 and f.
1560
Let t = 11406 + -171314/15. Let h = t + 4853/330. What is the common denominator of h and 39?
22
Find the common denominator of ((-3)/(-156))/((-4)/(-106)) and -133/18.
936
Suppose -3*u + 1202 = -21*y + 26*y, 3*u = y - 226. Calculate the least common multiple of y and 38.
4522
Suppose 0 = h - 0*h - 4. Suppose 145 = 5*o - 3*v, 2*o + 2*v + 1 - 75 = 0. Suppose -10*s = -o - 8. What is the least common multiple of h and s?
4
Suppose 2*l = -2*c - 122, -4*c = -l - 36 - 50. Let g be (l/(-12))/((-2)/(-4)) - 3. Calculate the least common multiple of 22 and (27 + -1 + 2)*12/g.
462
Let d = 163760752/1203 - 136127. Find the common denominator of d and -61/1604.
4812
Suppose p = 5*l + 21 + 46, 2*l - 4*p = -16. What is the common denominator of 41/(-4) - 7/l and ((-234)/(-72))/((-18)/(-44))?
36
Suppose -81*v - 140 = -86*v. Suppose -17*k + 19*k + 142 = 4*q, 0 = k - 1. Calculate the lowest common multiple of q and v.
252
Let u(v) = 24*v + 1. Let o = 3585 - 3543. What is the least common multiple of o and u(2)?
294
Let b = -29361/16 + 7327/4. What is the common denominator of 67/57268 and b?
229072
Let a(r) = -r**2 - 23*r - 134. Let j be a(-13). What is the least common multiple of (5 + j)/(2/40) and 28?
140
Calculate the common denominator of -68/1857 and 6/6*(-2)/80*5*-71.
14856
Suppose 0 = 2*v + 12 - 714. Let n = v - 267. Calculate the smallest common multiple of 36 and n.
252
Suppose -4*k = 3*j - 511, 2*j = -k + 169 + 165. Calculate the lowest common multiple of j and 99.
495
Let g be ((-160)/(-120))/(-1 + (-38)/(-30)). | {
"pile_set_name": "DM Mathematics"
} |
he nearest ten.
470
What is 0.000011048316406 rounded to 6 decimal places?
0.000011
What is -19240.99081 rounded to 0 decimal places?
-19241
What is -0.0001177678512 rounded to 4 decimal places?
-0.0001
Round 0.00009572282 to five decimal places.
0.0001
Round 84.611517 to the nearest integer.
85
What is 42599.63865 rounded to the nearest 1000?
43000
Round -5249931.17 to the nearest one hundred thousand.
-5200000
What is -105533.399 rounded to the nearest 100000?
-100000
What is -935.1805 rounded to the nearest 10000?
0
Round 3.12372438 to 4 decimal places.
3.1237
What is 0.000011099715 rounded to 6 decimal places?
0.000011
What is -0.001525796778 rounded to 6 dps?
-0.001526
What is 57124.2271 rounded to the nearest ten?
57120
What is -0.000003938179 rounded to seven decimal places?
-0.0000039
What is 1164821.94 rounded to the nearest 1000?
1165000
What is -14.852337 rounded to 0 decimal places?
-15
Round 50485.69008 to zero decimal places.
50486
What is 520396260 rounded to the nearest one million?
520000000
Round 18119.9958 to zero dps.
18120
Round 29308489 to the nearest 10000.
29310000
Round 121929.9533 to the nearest ten.
121930
Round -0.000305567379 to six decimal places.
-0.000306
Round 5331645870 to the nearest one million.
5332000000
Round 0.000000453747502 to seven decimal places.
0.0000005
What is 0.4539362421 rounded to three dps?
0.454
What is 2144.48115 rounded to zero dps?
2144
What is 0.028955569 rounded to four dps?
0.029
What is -0.0976315363 rounded to 5 decimal places?
-0.09763
What is -1070440.3388 rounded to the nearest 100000?
-1100000
Round -664285.565 to the nearest one thousand.
-664000
Round 56.71499931 to zero decimal places.
57
Round 0.00188278299 to seven dps.
0.0018828
What is -0.6504655849 rounded to 2 decimal places?
-0.65
Round -0.7645942371 to one dp.
-0.8
What is 29124423.92 rounded to the nearest 10000?
29120000
What is -0.0011904489 rounded to five dps?
-0.00119
Round -166.9256587 to zero dps.
-167
Round -1.082171398 to three dps.
-1.082
Round 0.000032521589 to six decimal places.
0.000033
Round 57897012 to the nearest ten thousand.
57900000
Round 45526500 to the nearest 10000.
45530000
Round -4650.28773 to the nearest one hundred.
-4700
What is -36.497559 rounded to the nearest ten?
-40
What is 0.046232087 rounded to 5 decimal places?
0.04623
Round 0.0066518979 to five decimal places.
0.00665
What is 44.9948979 rounded to one decimal place?
45
Round -3259.0814 to the nearest 100.
-3300
Round 0.0000084575484 to 7 decimal places.
0.0000085
Round -1.43480323 to 2 dps.
-1.43
What is -1939754780 rounded to the nearest one hundred thousand?
-1939800000
Round -21.894894 to 0 dps.
-22
Round -0.596582157 to 1 dp.
-0.6
What is -0.0000094656994 rounded to 6 dps?
-0.000009
What is 12.8001569 rounded to three dps?
12.8
Round 0.000003713748959 to 7 dps.
0.0000037
What is 0.001372756321 rounded to five decimal places?
0.00137
What is -18021.05 rounded to the nearest 1000?
-18000
What is -0.000012149996891 rounded to 7 decimal places?
-0.0000121
What is -0.00002704471 rounded to seven decimal places?
-0.000027
What is -56.06538949 rounded to one decimal place?
-56.1
Round 2.63134283 to 2 dps.
2.63
Round -25037.436 to the nearest 10.
-25040
Round 53627.3291 to the nearest one hundred.
53600
Round -123452675 to the nearest 1000000.
-123000000
Round -2240803511.5 to the nearest one hundred thousand.
-2240800000
What is 0.1304639701 rounded to 3 dps?
0.13
Round 0.000032041248 to 4 dps.
0
Round -49.9041138 to the nearest ten.
-50
Round 60834942.7 to the nearest 100000.
60800000
What is 3874.334 rounded to the nearest one thousand?
4000
Round -1042184.599 to the nearest one hundred.
-1042200
Round 0.00004543476113 to seven decimal places.
0.0000454
What is -0.00000087859916 rounded to seven dps?
-0.0000009
Round 49541395 to the nearest 10000.
49540000
What is -2.1019778 rounded to 3 dps?
-2.102
Round 0.000940378068 to 4 decimal places.
0.0009
What is 0.000305064342 rounded to five decimal places?
0.00031
What is 0.00065969658 rounded to 4 dps?
0.0007
Round -5460089800 to the nearest one million.
-5460000000
Round -35218.93695 to the nearest one thousand.
-35000
Round -1089480.334 to the nearest 1000.
-1089000
What is -0.00034243326 rounded to seven decimal places?
-0.0003424
What is -132566969 rounded to the nearest one hundred thousand?
-132600000
Round -1.42518258 to one dp.
-1.4
What is 0.000340293071 rounded to 7 decimal places?
0.0003403
Round 0.00002006214 to seven dps.
0.0000201
What is 0.00337105299 rounded to 5 decimal places?
0.00337
Round 33718.6672 to zero decimal places.
33719
What is 0.82989719 rounded to three decimal places?
0.83
Round -680.06237 to the nearest 100.
-700
Round -1.248052514 to three dps.
-1.248
Round -67469.87455 to the nearest 10000.
-70000
What is -22.1640139 rounded to 1 decimal place?
-22.2
Round -18715.10441 to 1 decimal place.
-18715.1
Round -441.0260951 to two decimal places.
-441.03
Round -0.0000126896418 to 6 decimal places.
-0.000013
What is -38522.2002 rounded to the nearest 10000?
-40000
Round 0.019243487 to 3 dps.
0.019
Round 751509480 to the nearest 1000000.
752000000
What is -0.00077358008 rounded to seven dps?
-0.0007736
Round -12638459 to the nearest 10000.
-12640000
What is -9836979550 rounded to the nearest one million?
-9837000000
Round -1220.44766 to the nearest 100.
-1200
Round 125.026561 to the nearest 10.
130
What is 923.79572 rounded to one decimal place?
923.8
Round -0.199240096 to 1 decimal place.
-0.2
Round 113.083199 to the nearest ten.
110
Round 45652.6639 to zero decimal places.
45653
What is -163071.732 rounded to the nearest 10000?
-160000
Round -0.002536218711 to 6 dps.
-0.002536
Round -1184.7946 to the nearest 1000.
-1000
What is 0.0000007119389658 rounded to 7 dps?
0.0000007
What is 1219.7431 rounded to zero dps?
1220
What is -68374.8855 rounded to the nearest 10000?
-70000
What is 0.00886199103 rounded to 5 dps?
0.00886
What is -0.00071401 rounded to two dps?
0
What is -0.0000143377999 rounded to six decimal places?
-0.000014
Round -10674.6969 to zero decimal places.
-10675
What is 447110126.4 rounded to the nearest one million?
447000000
Round -12170201.21 to the nearest one hundred thousand.
-12200000
Round -0.0099756499 to five decimal places.
-0.00998
Round -3329.7731 to zero dps.
-3330
What is 24562280.3 rounded to the nearest 1000?
24562000
Round -57.78541161 to one decimal place.
-57.8
What is -0.000093678596 rounded to seven dps?
-0.0000937
What is -3317.29961 rounded to the nearest integer?
-3317
Round 892.0764706 to two decimal places.
892.08
What is 0.00001051443562 rounded to five decimal places?
0.00001
Round -8287.1491 to the nearest 100.
-8300
Round -6027.946887 to the nearest one hundred.
-6000
What is 1.962647908 rounded to two decimal places?
1.96
What is -0.000091787597 rounded to 7 decimal places?
-0.0000918
What is 0.000005942139764 rounded to 7 decimal places?
0.0000059
Round -326592262.8 to the nearest 10000.
-326590000
Round -2.873584112 to one decimal place.
-2.9
What is -0.000526709321 rounded to 4 decimal places?
-0.0005
What is 0.0000830560707 rounded to 6 dps?
0.000083
What is -0.6916864514 rounded to 4 dps?
-0.6917
Round -2409.534585 to 1 decimal place.
-2409.5
Round -1.460349171 to 4 dps.
-1.4603
What is -0.00000645117097 rounded to 6 decimal places?
-0.000006
What is -162200.136 rounded to the nearest 1000?
-162000
What is -0.0000064355383 rounded to six dps?
-0.000006
Round -51.453759 to two decimal places.
-51.45
Round -0.00003643577333 to six dps.
-0.000036
What is 0.000170665528 rounded to six decimal places?
0.000171
What is 2.3012841 rounded to 1 decimal place?
2.3
What is 1057206.744 rounded to the nearest 100000?
1100000
What is 71.758399 rounded to the nearest 10?
70
What is 0.92027109 rounded to three decimal places?
0.92
Round 0.455426725 to 3 decimal places.
0.455
Round 0.71814882 to one dp.
0.7
Round 3019.715738 to the nearest 10.
3020
Round 4651152.3 to the nearest one million.
5000000
Round -0.00718412629 to 7 decimal places.
-0.0071841
Round 356.401447 to one dp.
356.4
What is 26.7245306 rounded to the nearest 10?
30
What is 9414.8705 rounded to the nearest one thousand?
9000
Round 0.7108718 to 1 dp.
0.7
Wha | {
"pile_set_name": "DM Mathematics"
} |
-2, -5
Let z be (-4)/14 - (-165)/(-35). Suppose -2*b - b = k + 4, -3*k + 21 = -2*b. Put -1, z, k, -4 in decreasing order.
k, -1, -4, z
Let v be ((-16)/(-28) - 0)*7. Suppose -v*d = 12, 0*d = -3*f - 2*d + 9. Put -16, f, 2 in decreasing order.
f, 2, -16
Let d = -17.4 + 20. Let f = d - 12.4. Let x = f - -11. Sort -4, 2, x in increasing order.
-4, x, 2
Let s(f) = 2*f**2 - 10. Let a = -58 - -62. Let r be s(a). Put -4, r, 5, -0.5 in increasing order.
-4, -0.5, 5, r
Let z = 3.76 - -1.24. Put 56, 2/3, -1/4, z in decreasing order.
56, z, 2/3, -1/4
Let q(v) = -7*v + 38. Let c be q(6). Sort -10, 1, c.
-10, c, 1
Let h = -94 - -93. Let l = -4 + -2. Let n = l + 11/2. Put -0.3, h, n in increasing order.
h, n, -0.3
Let y = 5.02 - 0.02. Let z = 5.3 - y. Let v(p) = -3*p**2 - 3*p - 2. Let i be v(-1). Sort z, i, -2/3.
i, -2/3, z
Let z = 34 + -34. Let o be (-9 - z - -3)/(-14). Sort 3, o, -0.4, 4 in ascending order.
-0.4, o, 3, 4
Suppose w - 3*n - 1 = 0, -5*w + w + 13 = -3*n. Suppose -22*i - 2280 = -10*i. Let t = i + 192. Sort t, 5, w.
t, w, 5
Suppose 0 = b - 1952 + 1955. Put -4, 267, b in decreasing order.
267, b, -4
Let g = -18.1 - -13.1. Sort -0.1, g, -50.
-50, g, -0.1
Let y(p) = -p**2 + 9*p + 4. Let u be y(9). Put u, 5, -4, -5 in descending order.
5, u, -4, -5
Let o = 66 - 65.71. Let a = o + -0.19. Sort -4, 5, a, -3 in descending order.
5, a, -3, -4
Let t be (-34)/(-8) - (-1)/(-4). Let l = 12 - 16. Suppose -3*a = -3*c + 36, 5*a - 3*c + 14 + 36 = 0. Put t, a, l in descending order.
t, l, a
Suppose y - 2*y = p + 4, 4*p = y + 9. Put -5, 0, p, 25 in decreasing order.
25, p, 0, -5
Let w(t) = 10*t + 169. Let m be w(-16). Let v = 0 - -1. Let o = v - 2. Sort m, -2, o.
-2, o, m
Suppose 0 - 3 = -p, 2*p = -4*o + 10. Let m = -2357 - -2362. Put 6, m, o, -5 in increasing order.
-5, o, m, 6
Let k = 1639 - 1638. Put 0.1, 2, -6, k in descending order.
2, k, 0.1, -6
Let z be (-4)/(-10) + 1240/25. Let i = z - 14. Let h be (2/3)/((-6)/i). Sort h, 0.4, 1/11 in increasing order.
h, 1/11, 0.4
Suppose 4*w = 2*n - 18, -3*w + 0*w = 9. Let j be (2*3/(-18)*0)/(-2). Put -3, n, j, 1 in decreasing order.
n, 1, j, -3
Let a = 247 - 244. Let p = 0.1 + 1.4. Sort p, a, -1/4 in ascending order.
-1/4, p, a
Let l = 12.86 + -13.06. Put 0.3, l, 5, 3/19 in decreasing order.
5, 0.3, 3/19, l
Suppose -19*w - 24 = -24. Sort -5, 30, w, -1.
-5, -1, w, 30
Let k be (3/(-3))/(40/(-15) - -3). Put 4, 2, k, -25 in descending order.
4, 2, k, -25
Let s = 0.2 - 0.11. Let g = 9.09 - s. Let t = -11 + g. Sort -5, 0.4, t.
-5, t, 0.4
Let m be 2/3*(-225)/(-150). Sort -4, m, 16 in descending order.
16, m, -4
Let z = 66 - 729/11. Put 0.5, -1, z, 0 in ascending order.
-1, z, 0, 0.5
Let z be 3/((-45)/(-21)) + (-36)/45. Suppose -4*t = -5*i - 3 - 5, -t - 3*i = -2. Let b be (t + 27/(-12))*-1. Sort b, -3, z in increasing order.
-3, b, z
Let f(i) = -2*i + 8. Let h be f(6). Suppose 9*n + 25 = 4*n. Let o = -5627 - -5624. Put h, o, n in descending order.
o, h, n
Let d = -217/158 - 10/79. Let y = 491/620 + 1/124. Sort y, -0.1, 1, d.
d, -0.1, y, 1
Let t = 14 + -124/9. Let q be 172/(-40) + (-6)/(-4). Sort q, -4/7, t in decreasing order.
t, -4/7, q
Let z = -488 - -489. Sort -15, 4, -5, z in ascending order.
-15, -5, z, 4
Suppose -5*s = -4*b + 117, 0 = 4*b + s - 34 - 53. Let p = -25 + b. Let k(j) = -j**2 + 5*j + 6. Let i be k(5). Put -1, i, p in decreasing order.
i, -1, p
Let i be 1*(-1)/1*0. Suppose q - 26 = -2*g, -5*g + i*q = -q - 58. Suppose -3*k = -3*o - g, 0 = 4*o - 2*k - k + 12. Put 3, o, 4 in decreasing order.
4, 3, o
Let n = 19 + -3. Let g be (-16)/12*(-60)/n. Put g, 8, 4 in ascending order.
4, g, 8
Let n(f) = -52*f - 47. Let t be n(-1). Sort 2, 1, t, -9 in descending order.
t, 2, 1, -9
Suppose 0 = -b - 8*b + 162. Sort -4, b, -3, 0.
-4, -3, 0, b
Let o be ((-25)/10 - -5)*18/(-15). Put -95, -4, o, 4 in increasing order.
-95, -4, o, 4
Let b = -19 + 9. Let f = b - -8.9. Let m = -3.1 - f. Sort 2, m, 3/2.
m, 3/2, 2
Let l = -9627773/116620 + 422/343. Let c = -7/1020 + l. Let n = 83 + c. Sort 0.8, n, -3.
-3, 0.8, n
Suppose -402*a + 30 = -417*a. Sort a, 40, 3 in descending order.
40, 3, a
Let i = 1048 + -1050. Put -6, 6, i in descending order.
6, i, -6
Let t(d) = 6*d - 6*d**2 - 6*d. Let u be t(-1). Let y(k) = k + 7. Let g be y(u). Put -1, g, 3 in ascending order.
-1, g, 3
Let y = -56 + 89. Let i = -38 + y. Sort -3, -0.4, i in ascending order.
i, -3, -0.4
Suppose 3*f - 5 = 3*i - 2, 0 = -i + 2*f - 6. Suppose -w + i*w = 24. Suppose 0 = -3*z + 1 + w. Sort 2, z, -1 in decreasing order.
z, 2, -1
Let v(j) = j - 4. Let p be v(6). Suppose -2*o = 64 - 14. Let d = o + 26. Sort -3, d, p in descending order.
p, d, -3
Suppose 93*z = 41*z + 104. Sort z, -4, -5 in ascending order.
-5, -4, z
Let q = 33 - 3. Put 0.4, 1/5, q, -4 in descending order.
q, 0.4, 1/5, -4
Let d(y) = y**2 - y + 4. Let t be d(0). Put -97, 2, -5, t in decreasing order.
t, 2, -5, -97
Let w = 14.69 - -54.31. Put 5, 2, w in ascending order.
2, 5, w
Suppose -5*y - p = 79, 0*y + 4*p - 20 = y. Put -2, -1/7, y, 0.3 in ascending order.
y, -2, -1/7, 0.3
Let l = -34 + 39. Suppose -n + v = -0*n, 3*n - 5*v = -4. Put l, 0.3, n in ascending order.
0.3, n, l
Suppose 12*x + 18 - 42 = 0. Sort -3, x, -0.06, -2/13 in ascending order.
-3, -2/13, -0.06, x
Let b = -46485/7 - -6669. Let o = b + -28. Sort o, -4, -0.4 in increasing order.
-4, -0.4, o
Suppose -3 = -5*v + 7. Suppose -15 = v*m + 3*i, -3*m + 2 = -4*i - 1. Let j = 14 + -12. Sort m, -4, j in decreasing order.
j, m, -4
Let u = -2357/56 - -292/7. Let w = 0.5 + 0. Let v = 6.6 - 1.6. Sort u, v, w in increasing order.
u, w, v
Let w = -3/538 + -469/12374. Put -2, w, -1 in ascending order.
-2, -1, w
Let m = -29 + 36. Suppose m*u = 12*u + 25. Let q be -2*(18/4)/(-3). Sort -3, q, u in descending order.
q, -3, u
Let m = -12.84 + 11. Let s = 1.64 + m. Put 4, s, 0.1, -2/31 in descending order.
4, 0.1, -2/31, s
Let f = 1993 + -1993. Sort f, -6, -12 in decreasing order.
f, -6, -12
Let s be (-2)/8 + 6/(-8). Suppose -3*l - 8 - 10 = -3*k, -k = -5*l - 30. Sort -1/4, s, -4/9, l in increasing order.
l, s, -4/9, -1/4
Let v(l) = -l**3 + l**2 + 6*l - 8. Let a be v(4). Let h = -35 - a. Put h, -2/11, -1/5 in ascending order.
h, -1/5, -2/11
Let l be (0 + 2)/(8/4). Let j be 0 - (10 - (3 - 2)). Let v = -6 - j. Sort 6, v, l in increasing order.
l, v, 6
Suppose 2*a - 81 = 3*a - 2*t, 2*t = 2. Let c = a - -79. Suppose 0 = -w + 3 + 1. Put w, -1, c in decreasing order.
w, c, -1
Let z = 1/34 - 9/17. Let b = -148 - -161. Sort z, b, 1/3 in decreasing order.
b, 1/3, z
Let y = 149.7 + -150. Sort y, 2/15, -1/8, -0.02 in ascending order.
y, -1/8, -0.02, 2/15
Let w = -304 - -311.05. Let i = w + -0.05. Sort i, 1, -3.
-3, 1, i
Let n be 10/(5 - (-12)/(-3)). Suppose -6*v = -n*v. Suppose -3*w - 5*z + 40 = 0, -w - 5 = -4*z + 10. Sort w, 3, v in increasing order.
v, 3, w
Let g = 922 + -1845/2. Sort -0.1, 142, 0.2, g in decreasing order.
142, 0.2, -0.1, g
Let l = 17.45 - 11.72. Sort l, 1/4, 0.2 in descending order.
l, 1/4, 0.2
Let a = -3 - -1. Let p = -430 + 426. Sort a, p, -2/3 in decreasing order.
-2/3, a, p
Let l = 11329 + -11335. Suppose -4*x + 3*h + 5 + 3 = 0, 2*x - 3*h = -2. Sort 2, x, l.
l, 2, x
Let l = -111 - -114. Suppose -2*j = f + l*f, -f + 2*j = 0. Sort -1, -2, f.
-2, -1, f
Suppose 5*p - 20*t + 25*t + 35 = 0, 2*p - t + 11 = 0. Sort -4, 3, -19, p in descending order.
3, -4, p, -19
Let i be ((-12)/(-9))/((-24)/(-9) + -2). Suppose h - i = 2*q + 1, -4*h = -5*q - 3. Let m be (-4)/(-18) - 50/(-18). Sort h, 1, m.
h, 1, m
Let b = 19.88 + 0.12. Let k = b + -3. Let u = k - 21. Put u, -2/3, 0 in decreasing order.
0, -2/3, u
Let j(i) = -i**3 + 17*i**2 + 12. Let b be j(17). Suppose -b*x + 16 = 76. Sort 1, x, 21 in decreasing order.
21, 1, x
Suppose -2*d + 2*p - 4 = -2*p, -d - p = -1. Let f = 2736 + -2733. Sort -2, f, d, 15 in descending order.
15, f, d, -2
Let l = -397 + 395. Put l, -3, -0.58 in descending order.
-0.58, l, -3
Let h = -159.4 - -159. Sort -0.1, 1.4, h in decreasing order.
1.4, -0.1, h
Suppose -4*q = -2*x - 16, -4*x + 3*x - 2 = 0. Let j = -10 - -15. Put q, 0, j in ascending order.
0, q, j
Suppose 6 = 3*h, 4*w + 3*h - 18 = -0*h. Suppose -192*i = -191*i + 5. Sort i, 1, w, -1.
i, -1, 1, w
Let h = 133 - 177. Put 1, -1/2, h, 1/3 in increasing order.
h, -1/2, 1/3, 1
Let x = -11.14 + 11.4 | {
"pile_set_name": "DM Mathematics"
} |
(7). What is the second derivative of 12*o + o - d*o - 3*o**2 wrt o?
-6
Suppose 2*p + 2*w - 2 = 2, 3*p + w = 0. Let i(r) = -r**2. Let q(g) = g**3 - g**2 + g. Let v(s) = p*i(s) + q(s). Find the second derivative of v(k) wrt k.
6*k
Find the second derivative of -98*a**2 - 15*a**2 - 299*a**2 + 168*a + 405*a wrt a.
-824
Let f(h) = 65*h**3 + 35*h**2 - 65. Let q = 0 - -6. Let n(p) = 11*p**3 + 6*p**2 - 11. Let v(r) = q*f(r) - 35*n(r). Differentiate v(k) with respect to k.
15*k**2
Let m be (-36)/(-15) - 6/15. What is the third derivative of 0*r**2 + r**2 - 5*r**m - 5*r**4 wrt r?
-120*r
Let g(u) = -u**3 + 4*u**2 - 2*u - 3. Let s be g(-2). What is the derivative of 0 - 43*b**4 + s - 9 + 30 wrt b?
-172*b**3
Let m(y) = 9*y - 4. Let d(h) = 8*h - 8. Let l(v) = -3*v + 3. Let p(i) = -4*d(i) - 11*l(i). Let r(c) = m(c) + 2*p(c). What is the first derivative of r(b) wrt b?
11
Let o(s) be the first derivative of -27*s**6 - 55*s**3 - s - 327. Find the third derivative of o(x) wrt x.
-9720*x**2
Find the third derivative of 17*r**3 - 69*r**2 - 61*r**5 + 11*r**3 - 100*r**5 - 28*r**3 wrt r.
-9660*r**2
What is the derivative of 400*b**2 - 197*b**2 - 201*b**2 - 342 - 75*b**3 - 48*b**3 wrt b?
-369*b**2 + 4*b
Let b(t) be the first derivative of 368*t**3/3 + 370*t + 430. What is the first derivative of b(w) wrt w?
736*w
Let t(b) be the third derivative of b**7/168 + b**5/5 + b**4/6 - 6*b**2. Let x(y) be the second derivative of t(y). What is the derivative of x(o) wrt o?
30*o
Let k(j) be the first derivative of -8*j**7/7 + 2*j**4 + 383*j**3/3 - 166. What is the third derivative of k(s) wrt s?
-960*s**3 + 48
Let h(m) be the first derivative of -8 + 0*m**4 + 0*m**2 + 0*m + 0*m**5 + 1/6*m**6 - 4/3*m**3. Find the third derivative of h(q) wrt q.
60*q**2
Let q(m) be the third derivative of 0*m**3 + 0*m - 16*m**2 + 0*m**7 - 17/24*m**4 + 0 + 0*m**6 + 0*m**5 + 1/16*m**8. What is the second derivative of q(g) wrt g?
420*g**3
Let m(f) = f**3 - 2*f**2 - 2*f + 1. Let x(t) = -72*t**3 - 3*t**2 + 250*t + 3. Let n(v) = 3*m(v) - x(v). Find the second derivative of n(b) wrt b.
450*b - 6
Let a(u) = 4*u - 38. Let r be a(14). Differentiate 76 - 58 - r*j**2 - 36 with respect to j.
-36*j
What is the third derivative of -55 - 601*d**4 + 820*d**4 + 16 - d**2 - 512*d**4 wrt d?
-7032*d
Let i(y) be the first derivative of 0*y**3 - 17/5*y**5 - 50*y + 0*y**4 - 53 + 1/2*y**2. What is the second derivative of i(g) wrt g?
-204*g**2
Suppose t = 3*a + 31, 4*a = 3*t + 6*a - 93. Differentiate -3*u**2 + 13*u**2 - 32 + t wrt u.
20*u
Let l(q) be the first derivative of 7/3*q**6 + 9*q**2 + 0*q + 0*q**5 + 21 + 0*q**4 + 0*q**3. Find the second derivative of l(t) wrt t.
280*t**3
Find the third derivative of 7 + 1404*h**5 - 1393*h**5 - 9 + 11*h**4 - 24*h**2 wrt h.
660*h**2 + 264*h
Suppose 7*w + 133 = 168. Let x(d) be the second derivative of -1/15*d**6 - 8*d + 0 + 0*d**4 + 0*d**w + 1/2*d**2 + 0*d**3. What is the derivative of x(t) wrt t?
-8*t**3
Suppose 103*s = 99*s + 28. Let w(m) be the second derivative of -1/30*m**6 + 0 - s*m + 0*m**3 + 0*m**5 - m**2 + 0*m**4. Differentiate w(p) with respect to p.
-4*p**3
Suppose 0*q - 2*q = 0. Suppose q = -6*i + 7*i - 1. Find the first derivative of i - 2 + 0*o**3 - 6*o**3 - 1 wrt o.
-18*o**2
Let o = 874 + -869. Let g(x) be the third derivative of -1/2*x**4 + 0 + 5*x**2 + 3/20*x**o + 0*x + 0*x**3. Find the second derivative of g(j) wrt j.
18
Suppose -10*f = -14*f + 28. Find the second derivative of -19*s**2 - 2*s**2 + 8*s + 7 - f wrt s.
-42
Let v = 7 + -4. Let m(z) = 4*z - v*z - 1 + 1 - 1. Let b(n) = -3*n**3 + 5*n. Let q(t) = -b(t) + 5*m(t). Find the first derivative of q(w) wrt w.
9*w**2
Let o(m) be the first derivative of -34*m**5 + 72*m**2 - 76. What is the second derivative of o(g) wrt g?
-2040*g**2
What is the second derivative of -u - 27*u - 24*u + 0*u + 2738*u**2 - 2943*u**2 - 2 wrt u?
-410
Let k(w) be the third derivative of -w**9/504 - 43*w**8/336 + w**5/10 + 124*w**2. What is the third derivative of k(l) wrt l?
-120*l**3 - 2580*l**2
Let c(o) = 38*o**3 + 686*o**2 - 12*o. Let h(m) = -38*m**3 - 685*m**2 + 9*m. Let x(f) = 3*c(f) + 4*h(f). What is the third derivative of x(r) wrt r?
-228
Differentiate 5*b**3 - 58*b**3 + 34 + 3 - 37*b**3 wrt b.
-270*b**2
Suppose 6*y = 5*y + 28. Find the second derivative of y*s**2 + 188*s - 213*s - 4*s**2 wrt s.
48
Find the third derivative of -91*m**5 - 42*m**2 - 5*m**2 - 85*m**2 + 11*m**2 - 6*m**5 wrt m.
-5820*m**2
Suppose 0 = 3*h - 9. Let o(k) = -7*k**3 - 2*k**2 + 3*k. Let x(u) = u. Let p(v) = h*x(v) - o(v). Find the third derivative of p(a) wrt a.
42
Let l be 74*(4/10)/(24/930). Find the second derivative of -l*q**2 + 1147*q**2 + 3*q - 26*q**3 wrt q.
-156*q
Let v(s) = -s**2 - 8*s - 3. Let y be v(-7). Find the second derivative of 19*t - 6*t**y + 2*t**3 + 0*t**3 - 2*t**3 wrt t.
-72*t**2
Let y(f) be the third derivative of 49*f**5/20 + 11*f**3/6 - 2*f**2 - 7. What is the first derivative of y(b) wrt b?
294*b
Suppose -5*c - 23 = -3*s, 4*s + s - 33 = 3*c. Suppose 6 = -z + 4*z. What is the third derivative of z*b**s + b**6 - 2*b**6 + b**2 + 2*b**2 wrt b?
120*b**3
Let q(a) be the third derivative of 11*a**6/360 - a**4/6 + 3*a**3 + 31*a**2. Let z(r) be the first derivative of q(r). Differentiate z(t) with respect to t.
22*t
Let v(y) be the third derivative of -13/24*y**4 + 0*y**5 + 0*y - 23/210*y**7 - 28*y**2 + 0*y**3 + 0 + 0*y**6. Find the second derivative of v(h) wrt h.
-276*h**2
Let z(v) be the second derivative of 0 + 0*v**2 + 0*v**3 - 7/4*v**4 - 9/20*v**5 - 20*v. What is the third derivative of z(i) wrt i?
-54
Find the second derivative of 602*k - 22*k**2 - 556*k - 25*k**2 wrt k.
-94
Find the first derivative of 4*c**3 + 2677 - 2875 + 0*c**2 - 4*c**2 wrt c.
12*c**2 - 8*c
Suppose 0 = -0*n - 4*n. Suppose -i + 2 = -n. What is the third derivative of 4*o**i + o**2 + o**2 - 2*o**4 + 8*o**4 wrt o?
144*o
Let g(t) = -1596*t**2 + 45*t + 1439. Let o(d) = 797*d**2 - 20*d - 720. Let c(p) = -4*g(p) - 9*o(p). Differentiate c(s) with respect to s.
-1578*s
Let d(l) be the third derivative of -13*l**4 + 53*l**3/3 - 250*l**2 + 1. Find the first derivative of d(s) wrt s.
-312
What is the second derivative of -3 - 4*j + 36*j**5 + 44*j**5 + 18*j**5 + 48*j**5 wrt j?
2920*j**3
Let t(u) be the second derivative of 22*u**6/15 - u**5/10 + u**4/4 - 9*u**2/2 - u + 22. What is the third derivative of t(m) wrt m?
1056*m - 12
Suppose -2*t + 142 = x + 49, 5*t = 2*x - 177. Find the second derivative of -x - p**3 - 12*p**2 + 5*p + 97 - 3*p wrt p.
-6*p - 24
Suppose -2*y = -4*h - 106, -h = -4*y + 42 - 5. Let x = h + 73. What is the derivative of u**3 - u**3 - x - 10*u**4 + 58 wrt u?
-40*u**3
Let r be (2 + -1 + 4)/1. What is the second derivative of 15*w**5 + 10*w**5 + 9*w**r - 13*w wrt w?
680*w**3
Let f(h) be the first derivative of -38*h**2 + 189*h + 185. What is the derivative of f(q) wrt q?
-76
What is the third derivative of 2*m**2 + 5*m**6 + 9*m - 3*m + 4*m**6 - 9*m**3 + 7*m**3 wrt m?
1080*m**3 - 12
Let y(q) = -63*q**5 + 2*q**4 - 6*q**3 + 3*q**2 - q - 12. Let f(v) = -v**5 - v**3 - v**2 - 2. Let u(b) = 6*f(b) - y(b). Find the third derivative of u(a) wrt a.
3420*a**2 - 48*a
Suppose 4*m + 0*a = -2*a + 16, -5*a = 2*m - 24. Find the third derivative of -6*j**4 - 12*j**2 - 3*j**2 + 0*j**m - 6*j**4 wrt j.
-288*j
Let i(u) be the second derivative of u**7/14 - 9*u**5/20 + 13*u**3 - 2*u - 8. What is the second derivative of i(l) wrt l?
60*l**3 - 54*l
Find the second derivative of k + 126 + 146 - 647 - 82*k**2 wrt k.
-164
Let w(k) be the third derivative of 0*k**3 + 5*k**2 + 5/24*k**4 + 0*k**5 + 1/168*k**8 + 0*k**6 + 0*k + 0 + 0*k**7. What is the second derivative of w(i) wrt i?
40*i**3
Let i = -22 + 24. What is the second derivative of i*a - 2*a + a**4 - 6*a**4 + 11*a wrt a?
-60*a**2
Differentiate -19 - 25*d - 37 - 52*d wrt d.
-77
Let o be 26/91 - (-40)/7. Differentiate -59*z + o + 15*z - 23 with respect to z.
-44
Let o = -2 - -6. Find the third derivative of -2*t**2 + 2*t**o + 2*t**2 - 4*t**2 wrt t.
48*t
Let m(y) be the second derivative of y**7/14 + 6*y**5/5 + 145*y**4/12 - 4*y + 21. What is the third derivative of m(k) wrt k?
180*k**2 + 144
Suppose 5*c - 2 = q + 2*q, -c + 3*q - 2 = 0. Suppose -3 - c = -i. Find the second derivative of -4*n**2 + 3*n**4 + 5*n + 4*n**2 + n** | {
"pile_set_name": "DM Mathematics"
} |
ivided by -38
-9/19
What is 15 divided by 40?
3/8
1040 divided by -3
-1040/3
14130 divided by 9
1570
What is -948 divided by -4?
237
Divide -19 by -20.
19/20
1 divided by 1931
1/1931
-210 divided by -2
105
Calculate 0 divided by 662.
0
What is 1270 divided by -127?
-10
What is 2880 divided by 10?
288
Divide 2271 by -757.
-3
Calculate 228 divided by -76.
-3
2 divided by -1463
-2/1463
What is 10892 divided by 6?
5446/3
Calculate -38 divided by 7.
-38/7
Calculate 16 divided by 55.
16/55
What is -3545 divided by -1?
3545
-14 divided by 4
-7/2
What is -705 divided by 141?
-5
-188 divided by 4
-47
What is -2 divided by 479?
-2/479
Calculate 17410 divided by -5.
-3482
Divide -72 by 6.
-12
Divide 700 by 5.
140
Calculate -1812 divided by 604.
-3
What is 4 divided by -17?
-4/17
Divide 306 by 6.
51
Divide -873 by 12.
-291/4
Calculate 2 divided by 209.
2/209
Calculate 97 divided by -18.
-97/18
What is -117 divided by 4?
-117/4
Calculate -617 divided by 21.
-617/21
Calculate 2118 divided by -6.
-353
Divide -1198 by -1.
1198
Divide -15414 by -5138.
3
-2628 divided by -146
18
Divide 86 by 43.
2
What is -239 divided by -21?
239/21
What is 2832 divided by -6?
-472
0 divided by -923
0
Calculate 15594 divided by -6.
-2599
Divide 18995 by 4.
18995/4
7 divided by -339
-7/339
What is -1170 divided by 26?
-45
Divide 183 by -5.
-183/5
189 divided by 1
189
Calculate 1140 divided by 380.
3
4 divided by -182
-2/91
What is -1235 divided by 247?
-5
-3 divided by -61
3/61
5 divided by 16
5/16
Divide 40 by -164.
-10/41
Calculate -188 divided by -47.
4
What is 350 divided by 2?
175
-12 divided by 20
-3/5
-11 divided by 50
-11/50
Calculate 3254 divided by 6.
1627/3
Divide -67 by 1.
-67
-10980 divided by 732
-15
Calculate 205 divided by -6.
-205/6
5 divided by 243
5/243
Divide 9945 by -765.
-13
What is 5 divided by 361?
5/361
5 divided by -52
-5/52
What is 786 divided by 131?
6
7383 divided by -3
-2461
What is 655 divided by -131?
-5
What is 940 divided by 5?
188
Divide -26 by -1.
26
Calculate 1974 divided by -47.
-42
What is 4 divided by -1999?
-4/1999
Divide 3360 by -96.
-35
265 divided by 9
265/9
Divide -8 by -2726.
4/1363
What is -10 divided by -9?
10/9
11450 divided by 1145
10
What is 119 divided by -17?
-7
128 divided by 64
2
What is -63 divided by -1?
63
What is 356 divided by -5?
-356/5
Calculate -319 divided by 6.
-319/6
What is 2 divided by 14?
1/7
Calculate -337 divided by 4.
-337/4
Divide -1633 by -2.
1633/2
Divide 1426 by 14.
713/7
Calculate -3952 divided by 3.
-3952/3
-2168 divided by 2
-1084
216 divided by -6
-36
3 divided by 64
3/64
Calculate 100 divided by 20.
5
Divide 2624 by -4.
-656
Divide 2196 by -1098.
-2
What is 1098 divided by 549?
2
Calculate 2000 divided by -4.
-500
-72 divided by -8
9
What is 6 divided by 61?
6/61
What is 1200 divided by -240?
-5
What is -108 divided by 3?
-36
What is 264 divided by -4?
-66
Divide -11020 by -38.
290
Calculate 2522 divided by 1261.
2
Calculate 190 divided by -38.
-5
Divide -391 by -17.
23
What is 31 divided by 5?
31/5
Divide -198 by -22.
9
Divide -5934 by 6.
-989
143 divided by 4
143/4
Calculate 1953 divided by 7.
279
Calculate 2907 divided by 9.
323
111 divided by -5
-111/5
What is -28 divided by -2?
14
Calculate 18346 divided by -5.
-18346/5
Divide 1184 by -16.
-74
Calculate -118 divided by 2.
-59
Divide 285 by -285.
-1
Divide -2 by -361.
2/361
Calculate 2 divided by -2.
-1
Calculate 94 divided by 2.
47
82 divided by -17
-82/17
Calculate 248 divided by 31.
8
Calculate 2046 divided by -341.
-6
Divide -7827 by 1.
-7827
67 divided by -5
-67/5
What is -2 divided by -73?
2/73
-12270 divided by 3
-4090
What is -5 divided by -67?
5/67
What is 490 divided by -49?
-10
1140 divided by -6
-190
Divide -5 by 1347.
-5/1347
Calculate 5 divided by -39.
-5/39
1358 divided by -5
-1358/5
9533 divided by -1
-9533
Calculate -4 divided by 1518.
-2/759
2 divided by 35
2/35
Divide 385 by 3.
385/3
1835 divided by 367
5
Divide 520 by 1.
520
Calculate 340 divided by 2.
170
What is 2740 divided by -5?
-548
What is -5976 divided by -4?
1494
Divide 647 by 5.
647/5
Divide 513 by -3.
-171
What is 0 divided by 66?
0
What is 3 divided by -325?
-3/325
Divide -900 by 12.
-75
Divide 6045 by 1.
6045
Divide 823 by -7.
-823/7
What is -2836 divided by 709?
-4
What is -20 divided by -2?
10
4 divided by 714
2/357
Divide -3 by 1007.
-3/1007
Divide 3 by -124.
-3/124
Calculate -120 divided by -6.
20
3180 divided by -795
-4
Divide -9690 by -1.
9690
Calculate 1025 divided by 41.
25
-364 divided by 52
-7
Calculate -2111 divided by 1.
-2111
What is -126 divided by -82?
63/41
Divide 3 by 1501.
3/1501
What is 0 divided by -91?
0
Divide -12 by -19.
12/19
-139 divided by -10
139/10
Divide -774 by 2.
-387
What is 665 divided by -35?
-19
-155 divided by 6
-155/6
124 divided by -1
-124
-140 divided by 3
-140/3
Divide 63 by 103.
63/103
Divide 140 by -28.
-5
Divide -2750 by 55.
-50
Calculate 1248 divided by 312.
4
What is -255 divided by -51?
5
Calculate -5236 divided by -119.
44
Divide 13800 by -4600.
-3
What is -42 divided by 7?
-6
Calculate -212 divided by 4.
-53
Calculate -310 divided by -5.
62
What is -840 divided by -70?
12
-5586 divided by -2793
2
Divide -1132 by 283.
-4
What is 769 divided by 4?
769/4
1026 divided by 3
342
-324 divided by -4
81
3114 divided by -3114
-1
What is 11 divided by 2?
11/2
Calculate 553 divided by -3.
-553/3
What is -1360 divided by 340?
-4
Divide 1110 by -555.
-2
252 divided by 42
6
What is 4 divided by 4?
1
What is 6753 divided by -1?
-6753
Calculate 148 divided by 5.
148/5
930 divided by -6
-155
11 divided by -2
-11/2
-3765 divided by -5
753
17 divided by -15
-17/15
Divide 14 by 10.
7/5
1 divided by -776
-1/776
5 divided by -6
-5/6
-17 divided by 79
-17/79
-160 divided by -11
160/11
Calculate -668 divided by 167.
-4
2952 divided by 164
18
Divide 15175 by -3035.
-5
What is -10332 divided by -4?
2583
Calculate 0 divided by 82.
0
What is 560 divided by 40?
14
What is -1950 divided by -3?
650
-14 divided by 26
-7/13
What is -38 divided by -8?
19/4
What is -78014 divided by -2?
39007
Divide -14 by -35.
2/5
What is -20 divided by 4?
-5
Calculate 26 divided by 191.
26/191
Calculate 1989 divided by -153.
-13
Calculate 7 divided by 3.
7/3
-333 divided by 111
-3
Divide -2331 by -37.
63
Calculate -172 divided by -53.
172/53
-1261 divided by -13
97
Divide -4 by 2114.
-2/1057
Calculate -15 divided by 19.
-15/19
Calculate 682 divided by 3.
682/3
-124 divided by 1
-124
-10192 divided by 49
-208
Divide 3711 by 3.
1237
Divide -11 by -380.
11/380
Calculate -546 divided by 5.
-546/5
Divide 2185 by -5.
-437
What is -4680 divided by 4?
-1170
What is 1 divided by -452?
-1/452
Calculate -1 divided by -43.
1/43
560 divided by 40
14
Calculate 797 divided by 5.
797/5
What is -2 divided by 113?
-2/113
-21 divided by -5
21/5
What is -5 divided by -16?
5/16
Divide 547 by 4.
547/4
0 divided by -2
0
Calculate 905 divided by 13.
905/13
1266 divided by 6
211
Divide -136 by 2.
-68
13312 divided by 3328
4
-23805 divided by -4761
5
What is -11 divided by -18?
11/18
Divide -2 by 1878.
-1/939
-3544 divided by -1
3544
Divide -640 by 7.
-640/7
Divide -1326 by -6.
221
What is -65 divided by 188?
-65/188
-2684 divided by 1342
-2
Calculate -5 divided by 75.
-1/15
-68 divided by 6
-34/3
-698 divided by -2
349
What is 7 divided by 40?
7/40
Divide -13032 by -5.
13032/5
Divide -2 by 38.
-1/19
Calculate 90 divided by -5.
-18
5222 divided by 14
373
14 divided by 4
7/2
Divide 6132 by 876.
7
1261 divided by -4
-1261/4
Calculate -3 divided by -21.
1/7
2809 divided by 1
2809
Calculate -16614 divided by 9.
-1846
Divide 3111 by -1037.
-3
Calculate -12 divided by -181.
12/181
Calculate 4 divided by -4113.
-4/4113
256 divided by 32
8
Divide 17 by 60.
17/60
What is -4 divided by 2330?
-2/1165
Calculate -5 divided by -456.
5/456
Calculate -286 divided by 11.
-26
5 divided by -1509
-5/1509
Divide -2249 by 4.
-2249/4
Divide -67 by -84.
67/84
374 divided by -2
-187
Calculate -576 divided by -4.
144
Divide -162 by 6.
-27
Divide 207 by -69.
-3
Divide 4 by 36.
1/9
-688 divided by 6
-344/3
0 divided by -22
0
What is -1 divided by 43?
-1/43
Calculate 0 divided by -70.
0
Calculate 1312 divided by 2.
656
Divide -195 by -195.
1
Calculate 3 divided by 36.
1/12
What is -52 divided by 1?
-52
624 divided | {
"pile_set_name": "DM Mathematics"
} |
Let b = 139/5 + h. What is the closest to 1 in 2/3, b, n?
2/3
Let i = -24 - -24.088. Let f = 0.088 - i. Let l be ((3/5)/(-1))/1. What is the closest to f in -2, 1, l?
l
Suppose 2*a = 7*a. Let w = 0.1 + -0.6. Suppose -65 = -2*t - u - 50, -2*t + u + 5 = 0. What is the closest to a in w, 2, t?
w
Let a = 71.8 - 66. Let i = a - 5.7. What is the nearest to i in 2, 5, -2?
2
Let z = 589/30 + -99/5. Which is the closest to 1/2? (a) -1/8 (b) -3 (c) z
a
Let f = 2/111 + -347/777. Let r = -4.5 - -4.92. Let j = r + -0.52. What is the closest to 2 in 3/5, j, f?
3/5
Let h = 550 - 371. Let t = -180 + h. Let l(o) = 2*o + 2. Let b be l(-2). What is the nearest to 1 in -4/3, b, t?
t
Let r = 1.9 - 2. Let c = 78 - 74. Let h be (-11)/c + (-6)/(-2). What is the nearest to 0 in h, -4/9, r?
r
Let y(p) = p - 4. Let t be y(6). Let z be ((-2)/3)/(t/3). Let r = 6.7 - 7. Which is the closest to 0.1? (a) z (b) r (c) 0
c
Suppose 15*l + 277 - 922 = 0. Which is the nearest to -1? (a) l (b) -0.4 (c) 0.2
b
Let w(z) = -z - 11. Let i be w(-14). Let t be -2*(-1)/12*i. Let q be (1/3)/(5/(-60)). Which is the nearest to t? (a) q (b) -0.01 (c) 1
c
Suppose 9 = 7*p - 2*p + 2*q, -q = 3*p - 6. Which is the nearest to 1? (a) p (b) -1/6 (c) -1/3
b
Let p = -98.2 + 99. Let m = -0.64 + 0.04. Let z = p + m. What is the nearest to -2/3 in 4, z, -2?
z
Let d be (-7 - -5)*(-14)/(-4). Let u be 0/1 + (21/d - 6). Suppose -5*i + 3 + 2 = 0. What is the nearest to u in -0.1, i, 2/11?
-0.1
Let y = -0.00007 - -0.10007. Let i be 2/(16/(-7)) - -1. Which is the closest to 0.1? (a) i (b) 0 (c) y
c
Suppose 8 = -14*l + 22*l. Let q = -39.2 - -44. Let p = q + -5. What is the nearest to 2/3 in p, -2/9, l?
l
Let z be 22/165 + 2/(-15). Let t = 20 + -20.2. Let y = 0.1 + -1.1. Which is the nearest to 1? (a) y (b) z (c) t
b
Let y = 239 + -242. What is the nearest to -0.1 in y, 0.3, 2?
0.3
Let g = 366 - 339. Which is the nearest to 1? (a) g (b) -2/13 (c) 7
b
Let o be (8/(-138))/((-2)/(-3)). Let x = -47/172 - -1/43. What is the closest to x in -4, 5, o?
o
Let l = 7.93 - 8. Let w = 452 - 453. Which is the nearest to w? (a) l (b) 4 (c) -4
a
Let y = 800.9 - 801. What is the closest to 1 in 2.3, -2/9, -1, y?
y
Suppose 8 = -2*q - 6. Which is the nearest to 0.1? (a) 4/7 (b) -2 (c) q (d) 0.1
d
Let c = -1747/3 - -584. What is the closest to 0.6 in -1, 3, c, 13?
c
Suppose 0 = 4*l - l. Let y = -40.8 + 43.8. Which is the nearest to l? (a) -4 (b) y (c) 1
c
Let q be (-21)/5 + 0 + 42/35. What is the nearest to 3/7 in 9, q, -5, 0.3?
0.3
Let v be (1/(-3))/(5/15). Let w = -251 - -256. Which is the closest to 1? (a) v (b) 0.1 (c) w
b
Let q = -1.4 + 1. Let g = -338 - -337. Which is the nearest to g? (a) 5 (b) 0.3 (c) q
c
Let q(t) = t**3 + 7*t**2 + t + 9. Let a be q(-7). Let x = 60 - 59.9. What is the closest to a in 0.5, 2/31, x?
0.5
Let u = -36 + 26. Let i = u - -9.9. Let d = -27/14 + 10/7. What is the closest to -4 in -0.2, i, d?
d
Suppose -5*i = 3*n + 50, 3*i + 3*n + 29 = i. Let s be (i - -6)*(-1)/4. What is the nearest to s in 0.1, -1/7, -0.2?
0.1
Suppose f - 18 = 3*f. Let n be (6/f)/((-2)/12*4). Let c = -8/7 + 39/28. What is the nearest to 1 in c, n, 5?
n
Let l = 4695/19 + -247. What is the nearest to 0 in -5, l, -2/5?
l
Let l = -3.99 - -4. Let f = l - -0.19. Let g = 15 + -20. What is the closest to 1 in g, 0.1, f?
f
Let p be 12/60 - 46/130. What is the nearest to 2/3 in p, 3, 67?
p
Let y(x) = -8*x**2 + 31*x + 58. Let k be y(-2). Which is the nearest to 1/2? (a) 0 (b) -1 (c) k (d) 4
a
Suppose 3*t + 3 = -30*x + 29*x, 0 = -4*x + 12. Which is the closest to t? (a) -0.4 (b) -2.9 (c) 5
b
Let q = 84 + -83.95. Which is the nearest to -1/3? (a) -1 (b) q (c) 1
b
Let t = -140 - -978/7. What is the nearest to -2 in -5, 1/4, t, 4?
t
Let u be 6/27 + 0 + (-102)/(-270). Let k = 19403580975/1547 + -12542716. Let w = 2/221 + k. Which is the closest to 0.1? (a) w (b) u (c) -0.2
c
Let p = 12 + -12. Let g = -26 + 22. Let b = 2.6 + -4.6. What is the closest to -7 in b, g, p?
g
Let z = 0.3 - -0.2. Let r be 105/(-30)*-2*5. Let t = r + -311/9. Which is the closest to -0.1? (a) z (b) 2/9 (c) t
b
Let q = -0.1826 + -0.0174. Which is the nearest to q? (a) -5 (b) 4 (c) -9/5 (d) 0.5
d
Let m be -2 - -4 - 194*-1. Let w be (-1)/(-9) + m/(-144). What is the closest to 0 in 3, 0, w?
0
Let n = 166 + -163.91. Let g = -2 + n. Let o = g - 6.09. Which is the nearest to o? (a) -3/8 (b) 0.2 (c) -4
c
Let d be 6 + (2 - 0) - 2. Let w be d/7*2/3. Let l = 0.08691 - -1.91309. What is the closest to 0.1 in 2/7, l, w?
2/7
Suppose 4*i + 0*i = 16. Let z be (i - (-22)/(-6))*2. Which is the nearest to 1? (a) z (b) -2/7 (c) -1/4
a
Let j be (-16)/33 + (-4)/(-6). Let l be 12/(-210)*(-7 + (1 - -1)). What is the closest to 0.1 in j, l, 5?
j
Let n = -347/1727 + 3/157. Let q = 36 + -250/7. Which is the nearest to -1? (a) n (b) q (c) 3
a
Let n = 0.43 + -2.13. Let s = n + 1.4. Which is the closest to 0? (a) 1/2 (b) 0.2 (c) s
b
Let u = -1.143 + 1.543. Let r = -5 - -7. Which is the closest to -2/13? (a) -0.2 (b) u (c) r
a
Suppose 0 = -q + l + 50 + 2, -2*q + 3*l + 101 = 0. Suppose q - 55 = -7*f. Suppose -3 - 1 = 2*y. What is the nearest to 0 in -1/3, f, y?
f
Let x = -5.6 - -0.6. What is the closest to -4 in -4, x, 2?
-4
Let f = 661/7 - 95. Let s be (-1 + -1 - -2)/(-1). What is the closest to 1 in f, 0.4, s?
0.4
Let d = 0.243 - 0.643. What is the nearest to -0.06 in -2/17, 2/3, d?
-2/17
Let o = 463 - 7869/17. Let s = -0.52 + 0.12. What is the nearest to -0.2 in -0.1, s, o?
-0.1
Let w = -779 + 779. Let p = -2.02 + 0.02. Which is the closest to w? (a) p (b) 0.05 (c) -5/3
b
Let m = 65 - 62. What is the nearest to 46 in m, -0.4, -3?
m
Let o = -2618 - -2619. Which is the closest to o? (a) 5 (b) -2/3 (c) -0.4 (d) -5
c
Let f be (-19)/(-5) - (18 - 15). Let m = -0.1 + 0.02. Let k = 3.08 + m. Which is the closest to 1? (a) k (b) f (c) 4
b
Let u = -2.054 - -1.954. What is the nearest to u in 1/8, -5, 1/9?
1/9
Let v(t) = -t**3 + 25*t**2 + t - 23. Let b be v(25). Suppose -b*d + 11 = 13. What is the closest to 0.2 in -4, -5/3, d?
d
Let y = 248 + -247.9. Which is the closest to 0? (a) 3 (b) y (c) 0.4
b
Let i = 0.035 - 57.035. Let o = -53 - i. Let l = -0.3 - -0.2. Which is the nearest to l? (a) 4/7 (b) o (c) -0.5
c
Let m = 5.494 + -4.494. Let g be (-2)/(-4) - 1 - 1. Let f = 5/6 + g. Which is the closest to f? (a) -2/7 (b) m (c) 0
a
Let s = 341/2289 - 2/327. What is the closest to -3/5 in 4, s, 1.6?
s
Let o be (1*8/(-60))/((-30)/50). Which is the nearest to o? (a) 1/4 (b) -7 (c) 2
a
Let x(r) = r**3 - 4*r**2 + r + 3. Let v be x(2). Let y = -0.11 + 0.01. What is the nearest to y in 5, 1, v?
1
Let j = 1.975 + 0.025. Let v = 4 - 4. What is the nearest to -1/3 in 1/2, j, v?
v
Let l be 9/(-11) - (-14 + (-1716)/(-121)). Which is the nearest to l? (a) 5 (b) 1/3 (c) -1/3 (d) 12
c
Let g = -0.808 - 4.192. Let h = -5 - -9. Which is the nearest to 13? (a) h (b) 0.4 (c) g
a
Let z = 64 + -63. Let u = -139 + 1253/9. What is the nearest to u in 2/15, z, 2?
2/15
Let k = -1.76 + 0.76. What is the nearest to k in -27, 3/4, -2/5?
-2/5
Let h(i) = 3*i**3 - 15*i**2 - 15*i + 1. Let o be h(-1). What is the nearest to o in -1/2, 5, 157, 0?
-1/2
Let z = -18 + 92/5. Let r = 41 - 30. Which is the closest to -1? (a) -0.5 (b) z (c) r
a
Suppose 22 = -3*b + 5*i, -4*i + 21 + 3 = -4*b. Let w = -13 + 13.3. What is the closest to 1.2 in b, w, -1/3?
w
Let u = 3883 - 3883.2. Let j be 12/(-5)*(-1 + 6). Let z = j - -17. Which is the closest to 1? (a) u (b) z (c) 0
c
Let t be (-7)/(-14)*1*(-2)/5. What is the closest to -5 in t, 0.08, -1/4?
-1/4
Suppose -16*a + 22 - 6 = 0. What is the nearest to -4 in -0.5, a, -0.2, 0.2?
-0.5
Let o = -0.91 + -0.09. Let c be ((-189)/24)/9 - 1/8. What is the closest to o in c, -2, 6?
c
Let y(w) = -w**3 + 3*w**2 - w + 4. Let k be y(3). Let i = 1/20 - -9/20. Which is the nearest to 2? (a) i (b) k (c) -1
b
Let y = -2364 - -2364.3. Let t = 0.1 + 0.1. What is the nearest to -2 in -1, t, y?
-1
Let y = 1/45 - -7/9. Let f be (-5)/(-15)*1/(-1). Which is the nearest to f? (a) y (b) 0.4 (c) 2/11
c
Let p = -116.7 + 117. Which is the nearest to -0.06? (a) -10 (b) 3/4 (c) p
c
Suppose 19 - 3 = -4*v. Let n(a) = a**3 + 6*a**2 | {
"pile_set_name": "DM Mathematics"
} |
i(f). What is the greatest common factor of 6 and q?
3
Let r be -2 - (-4)/(-8)*-10. Calculate the greatest common factor of 9 and r.
3
Let x(k) = k - 7. Let g be x(8). What is the highest common divisor of 5 and g?
1
Let i = -9 - -12. What is the highest common factor of i and 9?
3
Let d(a) = -10*a + 6. Let r be d(5). Let k = -27 - r. Let o be -5 + 2 - 1*-156. What is the highest common divisor of o and k?
17
Let l(k) = 40*k. Let a be l(2). Let p(q) = q - 10. Let h be p(0). Let j be 567/35 + 2/h. What is the greatest common divisor of a and j?
16
Let d = 83 + 205. Suppose 4*m = 2*a + d, 3*a + 359 = 2*m + 3*m. Suppose -3*k = 5*h - m, -2*h - 2*k + 26 = -0*k. What is the greatest common divisor of 85 and h?
17
Let y = 8 + -17. Let d = y - -15. Calculate the highest common divisor of d and 15.
3
Let i be 323/5 + 2/5. Let n = i + -37. Let d be 14/(-3 + -1 + 6). Calculate the highest common factor of d and n.
7
Let p be ((-16)/12 - -2)*(-42)/(-4). Let h = -2 - -1. Let w(i) = -57*i**3 - i**2 - i - 1. Let b be w(h). Calculate the highest common divisor of b and p.
7
Let m = 58 - 50. What is the highest common divisor of 16 and m?
8
Suppose 2*v - 2 = 3*w, -3*w + 4 = 3*v + 1. Suppose 0 = 3*g + g - 12. Let i be (-3)/g - (-36)/3. Calculate the greatest common divisor of v and i.
1
Let u(i) = -14*i - 6. Let h be u(-4). What is the greatest common divisor of 20 and h?
10
Suppose -3*w + 613 + 347 = 0. What is the greatest common divisor of 40 and w?
40
Suppose 964 = 5*d + 4*v, d = -2*v + 5*v + 189. What is the highest common divisor of 24 and d?
24
Let w be ((-4)/8)/((-1)/4). Suppose 4*h + t - 29 = 0, 0*t - 13 = w*h - 5*t. Calculate the highest common divisor of 48 and h.
6
Let f = -3 + 10. Suppose 5 - f = -b. Suppose m + m - b = 0. Calculate the highest common factor of 8 and m.
1
Let l(g) = -3*g - 5*g**3 + 5*g**2 + 4*g + 1 - 4*g**2. Let y be l(-1). What is the greatest common divisor of y and 6?
6
Let k(v) = -v + 2. Let g be k(-2). Suppose -10 = -5*a - 0, g*a = -5*r - 27. Let u = r - -61. What is the greatest common divisor of u and 6?
6
Suppose 0 = 5*r + 5 - 30. Let u be 4 + -4 - (1 - -2). Let h be 0 + (-2)/(-4 - u). Calculate the highest common factor of r and h.
1
Suppose 4*p = -2*r + 30, 5*p = -2*r + 13 + 19. Let s be 2 + 1 + r - 2. Suppose -36 = i - 2*i. Calculate the greatest common divisor of i and s.
12
Suppose p + 2*g - 13 = -43, -3*g = p + 29. Suppose 5*n = -2*b + 89, -145 = -0*b - 3*b + 4*n. Let x = p + b. Calculate the highest common divisor of x and 45.
15
Let c = 113 + -21. Calculate the highest common divisor of c and 46.
46
Suppose -u = 5*i - 67, 2*i = 5*u + 6*i - 314. Suppose n = -5*w + 72, 8*n - 4*n + u = 5*w. Calculate the greatest common divisor of w and 56.
14
Let b(y) = y**3 - 6*y**2 - 4*y - 5. Let j(s) = s + 16. Let v be j(-9). Let x be b(v). Calculate the highest common divisor of 8 and x.
8
Let u(q) = -q**2 - 4*q - 9. Let i be u(-6). Let a = i + 35. What is the highest common divisor of a and 154?
14
Suppose 4*y + 19 = 5*w, 7*w - y = 2*w + 16. Let k be (w/(-4))/(1/(-32)). Let h be (1008/3)/6 + 3 + 1. Calculate the highest common factor of k and h.
12
Let i(v) = -v. Let g be i(3). Let b(x) = -x**2 - 3*x + 4. Let a be b(g). Let s be (-2)/7 - 32/(-14). What is the greatest common factor of s and a?
2
Let l be ((-8)/(-3)*-1)/((-18)/135). What is the greatest common divisor of l and 30?
10
Let p(c) = -9*c**3 - c - 2. Let v be p(-1). Suppose 2*z - v = 0, 4*z - 144 = -4*w + 3*w. Calculate the greatest common divisor of w and 16.
16
Let d(a) = -a**3 - 6*a**2 - 5*a - 6. Let b be d(-6). Let c(u) = 3*u + 33. Let h be c(-9). Calculate the highest common factor of h and b.
6
Let i(m) = 37*m**2 + 3*m - 2. Let s be i(1). Calculate the greatest common factor of s and 19.
19
Suppose 6*j - 40 = 296. What is the highest common divisor of 7 and j?
7
Let h = 28 - 20. Let q(b) = b**2 + b. Let o be q(-3). Let a be 338/o + (-2)/6. Calculate the highest common divisor of a and h.
8
Suppose 3*a + 2*y = 3 - 2, 5 = -5*y. Let s be 5/(a/(-9)*-1). Suppose 4*p + 15 = 5*p. What is the highest common factor of p and s?
15
Let t(o) = -147*o + 4. Let z be t(6). Let f be z/(-5) - 8/(-20). Calculate the greatest common factor of 16 and f.
16
Suppose 0 = 5*w - 2*w - 168. Let l = -38 + w. What is the highest common factor of l and 9?
9
Let n(s) = 6*s. Let v be n(2). Let c(z) = -27*z - 24. Let j be c(-4). Calculate the greatest common divisor of j and v.
12
Let f be (-2 - -1)/(4/(-12)). Let s be (8 + -4)/(2/f). Suppose -s*w + 2*h = -3*w - 305, -2*w - 2*h = -190. Calculate the greatest common divisor of w and 11.
11
Let i(d) = -3*d**3 - 6*d**2 + 5. Let l be i(-5). Suppose 0*n - 5*n + 5*y = -l, -150 = -3*n - 3*y. Calculate the highest common factor of n and 12.
12
Let z be -5 + 7 + 1*14. Let s be 0 + 1 + (13 - 10). What is the greatest common factor of s and z?
4
Let z be (-3)/6 - 90/(-12). Calculate the highest common divisor of 77 and z.
7
Suppose 33 - 89 = -8*g. What is the highest common factor of 21 and g?
7
Suppose 5*s - 168 = 3*h, 94 = 3*s - h + 6*h. What is the greatest common divisor of 3 and s?
3
Let h = 29 - 21. Let g = -1 + 3. Suppose m + g*x = 28, -7 + 3 = 2*x. Calculate the highest common factor of h and m.
8
Let f(g) = 29*g**3 + 2*g**2 + 2*g + 1. Let y be f(-2). Let m = -139 - y. Calculate the highest common divisor of m and 8.
8
Suppose 8 + 42 = 5*s. Suppose -3 = -k + s. Calculate the highest common factor of k and 91.
13
Let n = 4 + 1. Suppose -p - n*d + 79 = 0, 5*d - 107 = -2*p + 41. Calculate the greatest common divisor of 23 and p.
23
Let b = -31 + 14. Let a be (-2)/((-4)/b)*-2. Let h = -142 + 159. Calculate the greatest common divisor of a and h.
17
Let j(n) be the third derivative of n**6/120 - n**5/15 + n**4/6 - 2*n**3/3 - 3*n**2. Let k be j(4). Calculate the greatest common factor of 4 and k.
4
Let u be (-39)/(-4) + 6/24. Calculate the highest common divisor of u and 70.
10
Let f = 59 + -51. What is the greatest common divisor of f and 4?
4
Suppose 0*t - 3*t + 96 = -3*x, 2*t = -3*x + 39. Calculate the greatest common divisor of 18 and t.
9
Suppose 4*a - 189 = -45. Calculate the highest common divisor of 24 and a.
12
Let g be (16/12)/(2/3). Suppose -g*t = t - 9. Suppose -13 + 4 = -t*d. What is the highest common divisor of 12 and d?
3
Let i(o) = o**3 + 5*o**2 - 7*o + 5. Let k be i(-6). Let n = -61 - -94. Calculate the greatest common factor of k and n.
11
Suppose -4*b = -4*c - 40, -7*c + 2*c = 5*b - 80. Let k = -38 - -64. What is the greatest common factor of k and b?
13
Let c = -19 + 27. Suppose -c*j = -4*j. Suppose o = -2*x + 26, -11 = -o + 3*x - j. What is the greatest common factor of o and 4?
4
Let g = 5 - -25. Calculate the greatest common factor of 20 and g.
10
Suppose -2*n + 160 = 2*n. Calculate the greatest common factor of 5 and n.
5
Let w = -5 - -9. Suppose 4*v + 43 = s + 9, -w*v = -16. Calculate the highest common factor of 25 and s.
25
Let o(z) = -2*z - 7. Suppose 3*r - 9 = 0, -r = h + 2 - 0. Let x be o(h). Suppose -5*m - 13 = -u, -x*m + 0*m = -3. What is the highest common factor of u and 36?
18
Let c be 266/63 - 4/18. What is the greatest common divisor of c and 1?
1
Let x be 1 + (-30)/4*-2. What is the greatest common divisor of 40 and x?
8
Suppose 0 = 4*b + 8, 2*z + 3*b - 17 = 27. What is the highest common factor of 5 and z?
5
Let l(j) = 3*j. Let o be l(4). Suppose v + 20 = -v. Let c = 13 + v. What is the highest common factor of o and c?
3
Let n be (14/(-4))/((-1)/22). Calculate the highest common divisor of 7 and n.
7
Let v be (6*(-24)/45)/((-2)/10). What is the highest common factor of v and 112?
16
Suppose 11*j = 13*j - 14. Calculate the greatest common factor of j and 77.
7
Let g(w) = 2*w**2 + w. Let k(b) = b - 1. Let u(z) = g(z) + 5*k(z). Let d be u(7). Suppose 0*h = -5*h + d. What is the greatest common divisor of h and 3?
3
Suppose 5 + 7 = 4*j. Suppose 5*v = -3 + 8. Calculate the highest common divisor of v and j.
1
Suppose -640 = -31*d + 26*d. What is the greatest common divisor of 32 and d?
32
Let x be (-33)/(-12)*36*1. What is the greatest common divisor of x and 11?
11
Let y(w) = -w**2 - 8*w + 9. Let l be y(-8). Calculate the greatest common factor of 3 and l.
3
Let w = 3 - 0. Suppose w*m + 48 = 5*m. What is the gre | {
"pile_set_name": "DM Mathematics"
} |
Which is the second biggest value? (a) 310 (b) -0.04 (c) 16
c
What is the fifth smallest value in 1/3, -0.6, 45, -2, 0.01?
45
Which is the second smallest value? (a) 5 (b) 2 (c) -252
b
Which is the second biggest value? (a) -5/4 (b) 2/7 (c) 2/875
c
What is the third smallest value in 0.03, -4, -0.3, 4, 32?
0.03
Which is the third smallest value? (a) 22 (b) 3 (c) -44 (d) -15
b
What is the smallest value in -3/80, 9, -1/6, -4?
-4
Which is the fifth smallest value? (a) -58 (b) 2/3 (c) 0 (d) -3 (e) -14
b
What is the fifth biggest value in -4, -8, 42, 1.6, -0.4?
-8
What is the fifth biggest value in -2, -10/3, 0.3, -2/9, -6006?
-6006
What is the smallest value in 4, -41, 27?
-41
What is the third biggest value in 4/65, -0.05, -0.4, -3/5, 0.06, -0.3?
-0.05
What is the sixth smallest value in 0.4, -0.4, -0.7, 0, 0.2, -267?
0.4
Which is the second biggest value? (a) 1/3 (b) -2/15 (c) -7/4 (d) -2 (e) 81
a
What is the third smallest value in 4, 390, -2/13, -2/3?
4
Which is the fourth smallest value? (a) 2/7 (b) -61 (c) 2 (d) 2/23 (e) 5 (f) -0.2
a
Which is the second smallest value? (a) 2/3 (b) 0.062 (c) -0.09 (d) -2 (e) 0.11
c
What is the third smallest value in -30, 5, -117?
5
Which is the fourth smallest value? (a) -0.4 (b) 0.03 (c) -2 (d) 4 (e) 2
e
What is the smallest value in -5, -0.06, 0.379, -1/10, 0, -4?
-5
Which is the second biggest value? (a) 155 (b) 2/9 (c) -3 (d) -1078/3
b
Which is the smallest value? (a) 11228 (b) 3/2 (c) 11 (d) 0.3 (e) -1
e
Which is the smallest value? (a) 4/7 (b) 2/5 (c) -1/5 (d) 0.33 (e) -7/5
e
What is the biggest value in 30, 1/6, -0.46, -1/5?
30
What is the fourth biggest value in -370, -1, -3, 3?
-370
Which is the third biggest value? (a) 0 (b) -4/9 (c) -3/2 (d) -5 (e) -158/3
c
Which is the third biggest value? (a) -10 (b) 0.03274 (c) 4/5
a
What is the second biggest value in -3/11, 2, -3/7, -4?
-3/11
What is the sixth biggest value in -4, 0.12, -0.63, -1, 1/9, -2/19?
-4
What is the biggest value in -8, 0.57, 0.126, 4, -5?
4
Which is the fourth biggest value? (a) -1/2 (b) 1/3 (c) 29 (d) -0.035 (e) 3 (f) -0.4
d
Which is the second smallest value? (a) -131 (b) -1/923 (c) -0.1
c
Which is the biggest value? (a) -28 (b) 249 (c) 36
b
What is the third smallest value in 2/5, 10/11, -266?
10/11
What is the fifth smallest value in -24, 5/4, -9, 1/6, -5/4, -0.1?
1/6
Which is the second smallest value? (a) -0.1 (b) -320/17 (c) -1 (d) 0.1
c
What is the biggest value in -46023, -2, -0.9?
-0.9
What is the biggest value in -2/3, -2776, 1/5, 5?
5
Which is the third smallest value? (a) 1 (b) 49153 (c) -0.4
b
Which is the second smallest value? (a) 1 (b) 3/5 (c) -1/8 (d) -33527
c
What is the biggest value in -1, -4/1837, -2/7?
-4/1837
Which is the fourth biggest value? (a) -18 (b) 1 (c) -1/2 (d) -871
d
What is the third biggest value in -3/29, -2, -5, -0.09, -3/8?
-3/8
What is the smallest value in -2, 0.0728, -0.5, 2, -4, 1/13?
-4
Which is the second smallest value? (a) 3.4 (b) 4/9 (c) -2/17
b
Which is the second biggest value? (a) -395/4 (b) 1 (c) 1/2
c
Which is the third smallest value? (a) 2/7 (b) -5 (c) 3 (d) 5250
c
Which is the second biggest value? (a) -8/3 (b) 10 (c) 3/7 (d) -4 (e) -1/6 (f) -64
c
What is the third biggest value in -2, 0.3, -2/5, 0.01, 0, -108?
0
What is the smallest value in -1/9, -1, 115/3?
-1
Which is the third biggest value? (a) -0.2 (b) -3448 (c) -5 (d) -2/7 (e) -28
c
Which is the fifth smallest value? (a) 0 (b) -4 (c) 0.07 (d) -54 (e) 13
e
Which is the smallest value? (a) -2 (b) -295 (c) 1
b
Which is the second smallest value? (a) 0.1 (b) 179 (c) 621 (d) -5
a
Which is the third smallest value? (a) 0.0231 (b) -8/21 (c) 10
c
Which is the second smallest value? (a) -60 (b) -0.4 (c) -1 (d) -203 (e) -0.5 (f) -3
a
What is the third biggest value in -15, -8/9, -1/3, 0.3?
-8/9
Which is the third biggest value? (a) -9 (b) -2 (c) -3/22
a
Which is the biggest value? (a) 0.003 (b) -10 (c) -2/5
a
Which is the fourth biggest value? (a) -5 (b) 0.29 (c) 1 (d) -172
d
What is the fifth smallest value in 2/3, 3, -5, -1, -1.275?
3
What is the third biggest value in 1/2, -2, -6/77?
-2
Which is the second biggest value? (a) 1/17 (b) -5 (c) 0.4 (d) -15
a
Which is the biggest value? (a) 0.2 (b) 40705 (c) 1
b
Which is the fourth biggest value? (a) 7 (b) 18 (c) -0.1 (d) 1/11 (e) -3/4
c
Which is the second smallest value? (a) 1.57 (b) 2 (c) -28/13
a
What is the third smallest value in 3, -6/151, 54?
54
What is the second biggest value in -531, -1, 1?
-1
What is the third smallest value in 1408, -333, 2?
1408
Which is the biggest value? (a) -321 (b) 1/6 (c) -0.4
b
Which is the second smallest value? (a) 0.07 (b) 1 (c) 4/5 (d) -145 (e) -3
e
Which is the third biggest value? (a) -12 (b) -3 (c) -74
c
Which is the biggest value? (a) 2/11 (b) -47 (c) -0.8 (d) 2/3
d
What is the second biggest value in -0.3, -40/9, -944?
-40/9
What is the third smallest value in 2/677, 2/15, -1?
2/15
What is the third biggest value in 12, -1, -231, 1/4, -5, -0.2?
-0.2
What is the biggest value in 4756, -0.2, 3, 1/2, 0.7?
4756
What is the biggest value in 4/5, -0.08, 1, 0, -622?
1
Which is the fourth smallest value? (a) -0.2 (b) 78.3 (c) -8 (d) 2/7 (e) 2/11
d
What is the second smallest value in -6/5, 0.5, 19.891?
0.5
Which is the smallest value? (a) 0.06 (b) 1273 (c) -3/17
c
Which is the sixth smallest value? (a) 0 (b) 0.3 (c) -1 (d) 0.2 (e) -3/2 (f) -5/617
b
What is the third biggest value in -33, 937.2, 0.2?
-33
Which is the fourth biggest value? (a) 1/8 (b) 1/141999 (c) -1 (d) 1/5
c
What is the sixth smallest value in -3, 11/6, -0.3, -1/3, 3, 9?
9
What is the third smallest value in 3/5, -9523, -2/15?
3/5
Which is the smallest value? (a) 1/2 (b) -44 (c) 1/11 (d) 1 (e) -7/3 (f) 5/3
b
What is the second biggest value in 1/6, -3, -0.4, -92, 4?
1/6
Which is the biggest value? (a) -0.07 (b) 71 (c) 1 (d) 0.5 (e) -2/7 (f) 5
b
What is the sixth smallest value in -20, 2/7, 6, 2, 46, 2/13?
46
What is the smallest value in -0.04982, -2/5, -0.3?
-2/5
Which is the fifth smallest value? (a) -1/3 (b) -22 (c) -2 (d) 5 (e) 0.5 (f) 13/4
f
What is the third smallest value in 4, -5, -0.3, -2/7, 36?
-2/7
Which is the fourth smallest value? (a) -1 (b) 3 (c) -4 (d) -6 (e) -2.4
a
Which is the fifth biggest value? (a) 0.1 (b) -0.084 (c) -1/5 (d) -5 (e) -12/13 (f) 1
e
Which is the second smallest value? (a) 4 (b) -10 (c) -3 (d) -0.03 (e) 0.5 (f) -33
b
What is the second biggest value in -3, -6, 209?
-3
What is the third biggest value in -7/3, -1/4, -0.8, -2/127?
-0.8
Which is the biggest value? (a) 0.2 (b) -2/9 (c) 3 (d) 0.4 (e) 348 (f) -2/5
e
Which is the smallest value? (a) -43 (b) -797 (c) 3 (d) 4
b
What is the smallest value in -0.02387, -2/23, 8?
-2/23
What is the third biggest value in -257, 6/17, 2/7, 3?
2/7
Which is the sixth biggest value? (a) 0.3 (b) -1239 (c) 0.1 (d) -3 (e) -2 (f) -0.4
b
Which is the biggest value? (a) -0.12 (b) -0.4 (c) 1.3 (d) -4/3 (e) -0.7
c
What is the third smallest value in 2/11, -0.03, 78?
78
Which is the smallest value? (a) 1 (b) 0 (c) -15.38
c
Which is the sixth smallest value? (a) -0.4 (b) -10/3 (c) -8/7 (d) -1/6 (e) 0 (f) -5
e
What is the fourth biggest value in 198/17, 3, -1, -2?
-2
What is the third smallest value in 3/2, 1, -8, -17, 2/11?
2/11
What is the biggest value in 5, 58/3, -45?
58/3
What is the sixth smallest value in 12, -3/7, -4, 4, -6/7, 0.04?
12
Which is the fifth biggest value? (a) 128 (b) -8 (c) -5 (d) -1/8 (e) 9
b
Which is the third biggest value? (a) -41.56 (b) 0.12 (c) 3/4 (d) -5
d
What is the smallest value in 6, -7/4, 0, 1/9, -1/3?
-7/4
What is the fourth biggest value in -13, 2, -1350, -3, 0.1?
-13
Which is the smallest value? (a) -2/5 (b) -16 (c) -0.02 (d) 7
b
What is the third smallest value in -1/4, -0.8492, 1/9?
1/9
Which is the biggest value? (a) -95 (b) 167 (c) -8
b
Which is the third smallest value? (a) -0.3 (b) -2/15 (c) -0.5 (d) -190 (e) 2 (f) 2/5
a
What is the fifth smallest value in -3/5, -5, -2.1, -3/7, -0.01, -0.7?
-3/7
Which is t | {
"pile_set_name": "DM Mathematics"
} |
h - 52 for h.
-6
Solve -3*s + 22 = -4*q + 8, -q + 1 = -3*s for s.
-2
Solve 4*q - 59 = 3*x, -5*x - 60 = 3*q - 2*q for q.
5
Solve 5*h - c - 1 = 0, 2 = 843*h - 839*h - c for h.
-1
Solve 2*o + 18 = -2*a, 2*a = 13*o - 11*o - 18 for a.
-9
Solve -8 = 4*q, 4*m - 850*q - 28 = -846*q for m.
5
Solve 24 = 2*g + 3*p + 37, 0 = 5*p + 15 for g.
-2
Solve -335*f = 5*i - 334*f - 24, 2*f = 50*i - 252 for i.
5
Solve -b = -5*m + 32, -5*m + 5595*b - 5591*b = -53 for m.
5
Solve 0 = -2*k - 3*h - 17, k + 26 = -14*h + 9*h for k.
-1
Solve -4*o - 4 = -88*w + 90*w, -2*o + 5*w = 26 for o.
-3
Solve 5*p + 506*o + 75 = 501*o, -43 = 3*p + 2*o for p.
-13
Solve 0 = -3*z + 5*s - 4, -s - 307 = -303 for z.
-8
Solve -26 = 4*l + 3*h, 31*l - 2*h = 29*l - 6 for l.
-5
Solve -3*p - 19*i + 22*i + 9 = 0, 2*p + 3*i = 6 for p.
3
Solve 0 = -5*c - 29*q + 27*q + 5, -9*c = -q - 32 for c.
3
Solve 5*z + 18 = 4*h, z + 12 = 598*h - 600*h for z.
-6
Solve -5*f + 4*i - 28 + 56 = 0, 5*f + i - 18 = 0 for f.
4
Solve 5*g + 7*y - 11 = 3*y - 49, 48 = -4*y for g.
2
Solve -75*v - 10 = -s - 76*v, v + 18 = 3*s for s.
7
Solve -4*c + 8*c - 22 = 2*o, -4*c + o + 23 = 0 for c.
6
Solve 0 = 3*x + 4*z + 7, 3*z - 5 = 5*x + 26 for x.
-5
Solve 2*u = 2*r + 25 - 3, -2*u = -6 for r.
-8
Solve -26 = -4*z - 4170*t + 4172*t, 3*t = 13*z - 81 for z.
6
Solve -2*v - 3*x = -22, 4*x = 4*v + 913 - 897 for v.
2
Solve -3*t - 12705*d + 12707*d = -34, d = -17 for t.
0
Solve -18*n - y = 323, -107*y + 105*y - 52 = 3*n for n.
-18
Solve -4*o + 7 = -g, g + 967*o - 962*o = 11 for g.
1
Solve 3*q = -m + 3, -2542*q - m = -2545*q + 27 for q.
5
Solve -5 = 187*y - 188*y - 2*c, 4*y - 5*c + 32 = 0 for y.
-3
Solve 2*d + 11 = 4*g - 39, -3*d = 5*g - 57 for g.
12
Solve -21 = -5*v + 3*y, -v - 3193*y - 9 = -3198*y for v.
6
Solve -3*z = -28*v + 405 + 161, 5*v + z - 98 = 0 for v.
20
Solve 5*x - 6 = 4, -2*l = x + 4 for l.
-3
Solve 0 = d - 1398*f + 1399*f + 2, f = -1 for d.
-1
Solve 56 = -4*t - 4*u, 149*t = 141*t + u - 139 for t.
-17
Solve -185*o + 188*o - 2*u - 7 = 0, 29 = 9*o - 4*u for o.
5
Solve 0 = a - 3*f - 73, -112*f - 88 = a - 108*f for a.
4
Solve -5*n = x + x + 55, 2*n + 21 = -x for n.
-13
Solve 16 = 116*k - 118*k - 2*f, 0 = -2*k - 3*f - 21 for k.
-3
Solve 8*p - 43 = -s, 3*s + p = -16 + 30 for s.
3
Solve 0 = m - 4, m + 1336 = 2*a + 1334 for a.
3
Solve -2*c - 10 = 2*l, -5442*l = -2*c - 5439*l + 5 for c.
-2
Solve 5*g = -20, -t = 5*g - 356 + 372 for t.
4
Solve -p + 0*p + h = 3*h - 5, -20 = -5*h for p.
-3
Solve -16357*i = -10*d - 16356*i - 35, -5*d + 5*i - 40 = 0 for d.
-3
Solve 0 = j + 20*c - 12*c - 9, 3*j - 4*c + 29 = 0 for j.
-7
Solve -5*s - 19 = -2*u, -4*u + 126*s + 23 = 121*s for u.
2
Solve -4*n + 1109*o - 41 = 1104*o, 0 = 2*n + o + 17 for n.
-9
Solve 2*t + 58 - 62 = -3*c, -28 = -5*c + 2*t for c.
4
Solve -5*z = 4*s + 24, -4*s - 1559*z + 1555*z - 28 = 0 for s.
-11
Solve 3*s - 3*g = 24, 3*s + 1405*g = 1404*g + 12 for s.
5
Solve -2*n = -5*g + 17, 5*n + 4*g = -11843 + 11850 for n.
-1
Solve 3*m - 4*c - 13 = 0, -3847*c = -3*m - 3852*c + 4 for m.
3
Solve -29*n - 9 = -28*n - 3*d, 10 = -2*n + 4*d for n.
3
Solve 3*i - 83 = v - 67, -4*i - 7*v - 12 = 0 for i.
4
Solve -3*g = 4*p + 20, 0 = -g - 4*p + 18 - 30 for g.
-4
Solve 2*h = 125*z - 121*z - 30, 2*h + 5*z - 15 = 0 for h.
-5
Solve -80*z + 2*m + 18 = -75*z, 6*m = -z - 22 for z.
2
Solve -4*t = 4*k - 8 - 24, 2*t - 4*k = -2 for t.
5
Solve 218*o = -2*i + 222*o + 24, -2*i - 3*o + 15 - 19 = 0 for i.
4
Solve -19*r - 4*l = 38, -5*r + 218*l - 222*l - 10 = 0 for r.
-2
Solve 3*t - f = 3, 4*t - 324*f + 326*f + 26 = 0 for t.
-2
Solve -2*z - 3400*i + 3395*i = 18, 16 = -3*z - 2*i for z.
-4
Solve 0 = -4*d - r + 18, -27890*r - 18 = -27893*r for d.
3
Solve -5*n + 2*q = -750 + 756, 4*q = 4*n for n.
-2
Solve -4*d = x + 3 - 25, -4*d + 2*x = -16 for d.
5
Solve -75 = -5*f - 11*r - 99, -f + 24 = -5*r for f.
4
Solve 37 = 4*v - 5*j, 3*v - 434*j + 436*j = -24 for v.
-2
Solve -38*m + 2*u + 25 = -33*m, 3*u + 10 = 2*m for m.
5
Solve s + 4 = 0, 2587*v - 4*s - 24 = 2589*v for v.
-4
Solve -3*g - 3*a = 15, 2191 - 2169 = -2*g - 4*a for g.
1
Solve -5*y + 50 + 31 + 30 = 16*d, -2*y = d - 12 for y.
3
Solve 98 = -r + 92, 333 = 109*m - r for m.
3
Solve 2 = r, 2*w - r - 4*r + 1769 - 1755 = 0 for w.
-2
Solve -s - 2 = -4*f, -50*s - 3*f - 33 = -45*s for s.
-6
Solve -g + 1 = 4*v, -69*v = 71*v - 137*v + 2*g - 2 for v.
0
Solve 48*h - 52*h = -2*v - 8, 3*v + 12 = 3*h for v.
-4
Solve 5*t + 8*r - 21 = 0, -5*t = 139*r - 137*r - 9 for t.
1
Solve -5*i + 66 = -60 + 71, -17 = -4*l - 3*i for l.
-4
Solve 4*v - 904*r + 906*r - 16 = 0, 5*v = -4*r + 20 for v.
4
Solve -5*m + 2201*p = 2199*p + 12, 0 = 13*m - p + 6 for m.
0
Solve -79101*h + 79099*h = 3*n - 10, 3*n = 4*h + 16 for n.
4
Solve 0 = 8*j - 2*w - 6, -3*w = -62*j + 64*j - 5 for j.
1
Solve 12 = 14*l - 10*l - 2*n, 14*n + 84 = -l for l.
0
Solve -5*n - 2*v + 100 = 3*v, -952*n - 34 = -954*n + v for n.
18
Solve -2*h + 5*j - 26 = h, -2 = h + 23*j - 18*j for h.
-7
Solve 0 = -15*x + 13*x + 4*p - 22, 5*p = 20 for x.
-3
Solve -4*k - 9 + 45 = 4*u, -13*u = -3*k - 133 for k.
-1
Solve 75 - 121 = 4*g + 3*q, 0 = g - 12*q - 14 for g.
-10
Solve 0 = -31*d + 36*d - 4*a - 36, d = -3*a - 8 for d.
4
Solve 0 = x + 3*j - 25, 2*x - 76*j - 32 = -80*j for x.
-2
Solve 0 = 4*j + 3*x + 13 - 20, 4*x - 22 = j for j.
-2
Solve -408*k + 409*k + 4 = -2*j, 6*k = -4*j - 16 for j.
-1
Solve 0 = 2*u - 9*v - 36, 0 = 3*u - 592*v + 595*v + 12 for u.
0
Solve -3*f - 4 = -4*i, 104*f - 103*f + 4*i = -12 for f.
-4
Solve s + 2*o = 4, -4*s + 424 - 443 = o for s.
-6
Solve 3*j - 4*t = 3, -61 = -5*j - 74*t + 62*t for j.
5
Solve -4*k = -2*y + 14, -522 = -y - k - 509 for y.
11
Solve 4*u = 8, -7*r - 12*r + 3*u = -21*r + 4 for r.
-1
Solve 11*h + 64 = 4*j, 4*h + 3*j + j - 4 = 0 for h.
-4
Solve 5*c = -4*r + 65, 4*r + 479*c = 478*c + 13 for r.
0
Solve -2*v = -5*i - 7427 + 7398, -5*i = 3*v - 56 for i.
1
Solve 2*h + 38 = -4*r, 4*r - 71*h + 68*h = -13 for r.
-7
Solve 0 = -3*x - 5*o - 11, 228426*x = 228431*x + o + 33 for x.
-7
Solve y - 5*s - 21 = 0, y - 62 + 61 = s for y.
-4
Solve 0 = -z + 26 - 30, 2*z = -4*s - 12 for s.
-1
Solve 5*q = -3*f - 43, 2*q + 6*f - 9*f = -34 for q.
-11
Solve 2*s - 24 = -2*p - 10, 5*s - 15 = 0 for p.
4
Solve 3886*n - 3882*n - 40 = 4*a, -78 = a - 18*n for a.
-6
Solve -4*t - 9*o - 23 = 0, 77*t - 82*t + 20 = -5*o for t.
1
Solve -3*s = 6, 83*s - 82*s = -v - 6 for v.
-4
Solve -53*c + 51*c - 5*b + 1 = 0, c + 34 = 9*b for c.
-7
Solve 5*n = -14*l + 67, 14*l = 17*l + 2*n - 19 for l.
3
Solve 10*v - 5*c = 15, 721*v - 4*c = 724*v - 32 for v.
4
Solve 0 = o + m, 26*o + m + 6 = 22*o for o.
-2
Solve 0 = f - 4, 6*x + 2*f + 7*f = 4*f + 14 for x.
-1
Solve -27 = 5*c - 3*k, 3333 = k + 3334 for c.
-6
Solve 2*t + 4851 = -2*m + 4901, 13 = m - 5*t for m.
23
Solve 2*g + 25 = -5*q, 73*g - 70*g = 5*q for g.
-5
Solve 363*k - 367*k = -5*q, -4*k - q - 24 = 0 for k.
-5
Solve v + 2 = 0, 7 = 5*x - v + 6*v - v for x.
3
Solve 307*f - x + 8 = 303*f, -37 = f - 9*x for f.
-1
Solve -11*q - 4*f = -13*q - 30, 2*q = -4*f + 10 for q.
-5
Solve -3*d = -5*t - 17, -20*d + 3 = -42*d + 18*d - 1 for t.
-4
Solve 0 = p + 4*s + 6, -21*p - 4*s - 96 = -11*p for p.
-10
Solve -29 = 2*v - 7*g + 4*g, 5*v = -g - 30 for v.
-7
Solve 0 = 2*x - 4*y + 14, 3*y = -4*x + 28 - 34 for x.
-3
Solve -7 = m + 4*l, -2*m + 4*l = 12068 - 12090 for m.
5
Solve 10*x + 16*x - 26 = 13*x, 2*d - 3*x = 4 for d.
5
Solve -3*w - 415*x = -412*x + 27, -5*w - 45 = -x for w.
-9
Solve -c = 1, 5696*c - 5697*c = -v + 3 for v.
2
Solve 4*s + 608*c = 607*c - 3, -4*c + 5 = -s for s.
-1
Solve 0 = -5*q - 2*y - 52, -2*y + 3 = 5 for q.
-10
Solve -37*l + 42*l = -3*s + 25, -4*s - 2*l + 10 = 0 for s.
0
Solve -3*s - 2*i = -3, 349*s = 480*s + 2*i + 125 for s.
-1
Solve -n = 2*b + b + 16, 3*b + 13 = 2*n for n.
-1
Solve -3*y = x - 1834 + 1844, 3*y + 14 = -5*x for x.
-1
Solve -2*v + 42 = 2*g, -11*v + 6*v + 13 = g for g.
23
Solve -w + 10 = 3*u, w + 313 = -u + 315 for u.
4
Solve 4*k + 7*i - 20 = 0, -49166*k + 49161*k = -2*i - 25 for k.
5
Solve 5*o = 2*s - 21, -5*s - 54 = o - 66 for s.
3
Solve 0*a - 5*a + 12 = -c, -3*a + c = -6 for a.
3
Solve -d = 2*l - 1, -4*l + 45 = -d + 58 for l.
-2
Solve -9*i - l + 2 = -12*i, -5*i - 20 = -5*l for i.
1
Solve 25 = -4*f + q, f + 2562*q - 2564*q = -8 for f.
-6
Solve -4*o - 12 = 4*c, -18 = 85*c - 81*c + o for c.
-5
Solve 5*t - 3*p = -51 + | {
"pile_set_name": "DM Mathematics"
} |
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