00 + 8*m + 12*m**2 - 4*m**4 - 59000 = 0. What is m?
-1, 0, 2
Let v(d) = 72*d + 1875. Let n be v(-26). Find j, given that 2*j**4 - n - 7*j**2 + 1/2*j**5 - 17/2*j + 0*j**3 = 0.
-3, -1, 2
Let x(m) = 8. Suppose w + 11 - 9 = 0. Let u(s) = s**2 + s. Let g(h) = 4*h**2 + 3*h + 24. Let p(q) = -g(q) + 3*u(q). Let r(i) = w*p(i) - 7*x(i). Factor r(v).
2*(v - 2)*(v + 2)
Let c(p) be the third derivative of p**6/180 - p**5/6 + 19*p**4/18 - 8*p**3/3 + 2*p**2 - 29*p. Let c(r) = 0. What is r?
1, 2, 12
Let t(r) = -279*r + 21764. Let o be t(78). Factor 0*h + 1/8*h**3 + 0 + 0*h**o - 1/4*h**4.
-h**3*(2*h - 1)/8
Factor 195/2*i + 1/2*i**3 + 225/2 - 29/2*i**2.
(i - 15)**2*(i + 1)/2
Let -2*l - 7*l - 18*l**2 + 7*l = 0. What is l?
-1/9, 0
Let y(m) be the second derivative of -m**6/90 + m**5/12 - 2*m**4/9 + 2*m**3/9 - m + 41. Determine c, given that y(c) = 0.
0, 1, 2
Suppose h - 4 = 0, -4*h - 2 = 4*n - n. Let v be 13/3 + (-4)/n. Suppose -v*c**3 + 12*c**2 + 2*c**3 + 0*c**2 - 9*c = 0. Calculate c.
0, 1, 3
Let h(t) = -5*t**5 + 37*t**4 - 78*t**3 + 58*t**2 - 2*t + 2. Let u(n) = n**4 + n**3 - n**2 - n + 1. Let m(l) = -h(l) + 2*u(l). Determine b, given that m(b) = 0.
0, 2, 3
Let m(f) be the third derivative of -1/1008*f**8 - 1/315*f**7 + 0*f - 1/360*f**6 + 3*f**2 + 0*f**5 + 0*f**3 + 0*f**4 + 0. Factor m(d).
-d**3*(d + 1)**2/3
Let a(p) be the second derivative of 0 + 9*p + 1/90*p**6 + 1/60*p**5 - 5/72*p**3 - 1/72*p**4 - 1/12*p**2 + 1/504*p**7. Factor a(i).
(i - 1)*(i + 1)**3*(i + 2)/12
Let p(y) be the first derivative of -74/35*y**5 + 0*y + 6/7*y**4 - 2/7*y**2 - 17 + 20/21*y**6 + 2/3*y**3. Determine f so that p(f) = 0.
-2/5, 0, 1/4, 1
Let z(i) be the first derivative of -i**7/84 - i**6/60 + i**5/40 + i**4/24 - 2*i - 15. Let b(a) be the first derivative of z(a). Factor b(u).
-u**2*(u - 1)*(u + 1)**2/2
Let n be 42 + -41 + (-7)/(-2). Factor -6*y**2 + n - 3/2*y.
-3*(y + 1)*(4*y - 3)/2
Let w(a) be the third derivative of a**5/16 + a**4/4 - a**3/2 - 98*a**2. Determine j so that w(j) = 0.
-2, 2/5
Let k = -260 - -263. Let f be ((-27)/90)/(k/(-24)). What is p in 9*p**2 + 3/5 + f*p**4 - 21/5*p - 39/5*p**3 = 0?
1/4, 1
Let o(h) be the second derivative of -h**7/2520 - 5*h**4/4 + 2*h. Let u(b) be the third derivative of o(b). Factor u(s).
-s**2
Let y(q) = q**3 - 19*q**2 - 20*q + 2. Let s be y(20). Factor 42*n**s + 4*n**3 - 42*n**2 - 2*n**5 - 2*n**3.
-2*n**3*(n - 1)*(n + 1)
Let x be (21 - 22)*16 + 18. Factor 5 + 10*q**3 - 45/2*q + 15/2*q**x.
5*(q - 1)*(q + 2)*(4*q - 1)/2
Let t = -111590/7 - -15944. Factor -8/7*c**2 - t + 24/7*c.
-2*(2*c - 3)**2/7
Let x(b) be the third derivative of -b**7/140 - 9*b**6/40 + 39*b**5/40 - 5*b**4/4 - 32*b**2 - 5. Solve x(l) = 0.
-20, 0, 1
Let x = 45 - 306/7. Let c = -1287 - -1290. What is y in -x*y**c - 12/7*y**2 + 3/7*y + 6/7 = 0?
-1, 2/3
Factor -7 + 89*c**3 + 1083*c**2 + 7 + 6859*c - 32*c**3 + c**4.
c*(c + 19)**3
Solve 55*w**3 + 20*w - 6*w**2 - 30*w**3 - 27*w**3 = 0.
-5, 0, 2
Let a be (-102)/(-4)*10/15. Let b be (-2)/((-8)/a) + 44/(-22). Solve 1/4*s**2 + b - 3/2*s = 0 for s.
3
Let n(v) be the second derivative of 1/9*v**3 - 5*v + 1/30*v**5 - 1/9*v**4 + 0 + 0*v**2. Factor n(i).
2*i*(i - 1)**2/3
Let y be 4/(-22) + (-120)/(-594)*2. Factor -2/9*o**2 + 10/9*o**4 + 2/3*o**5 + 0*o + y*o**3 + 0.
2*o**2*(o + 1)**2*(3*o - 1)/9
Let j = -29 - -33. Let n be 6/(j/((-32)/(-12))). Factor 0 - 3/4*i**2 + 1/4*i + 3/4*i**n - 1/4*i**3.
i*(i - 1)*(i + 1)*(3*i - 1)/4
Suppose -5*q + 13*q - 32 = 0. Suppose 0 = q*i - 8. Factor -1/3*k**i + 0 + 1/3*k.
-k*(k - 1)/3
Let d be (-4)/20 - (-3781)/5. Factor 4*m**4 + d*m**3 - 756*m**3.
4*m**4
Let y(o) be the second derivative of 2*o**5/5 + 31*o**4/3 + 86*o**3/3 + 28*o**2 + 5*o + 6. Suppose y(d) = 0. Calculate d.
-14, -1, -1/2
Let x = 200 + -197. Let h(d) be the third derivative of 0*d - 1/12*d**x + 0 - 1/120*d**5 - 3*d**2 - 1/24*d**4. Factor h(q).
-(q + 1)**2/2
Factor 0 + 2/9*c**3 + 0*c - 88/9*c**2.
2*c**2*(c - 44)/9
Let o(h) = -48*h**2 - 15*h - 48. Let q(k) = 7*k**2 + 2*k + 7. Suppose -2*z - 5*r - 28 = -0*z, -4*r = 2*z + 24. Let m(s) = z*o(s) - 27*q(s). Factor m(f).
3*(f + 1)**2
Let r(k) = -k**3 - 23*k**2 - 17*k - 388. Let u be r(-23). Find b such that b**2 + 3/5 - 1/5*b**u - 7/5*b = 0.
1, 3
Suppose 2*y - c = y + 122, -3*c = -y + 126. Find a such that -3*a**2 - 256*a + 220*a + 12 - y = 0.
-6
Factor 0*t**2 - 3/2*t**4 + 0 + 0*t + 15/2*t**3.
-3*t**3*(t - 5)/2
Factor 7/2*m + 1/2*m**5 - 4*m**3 - 2 + m**4 + m**2.
(m - 1)**3*(m + 1)*(m + 4)/2
Let l(k) = 2*k**4 - 9*k**3 - k**2 + 51*k + 32. Let x(t) = -2*t**4 + 10*t**3 - 50*t - 32. Let j(u) = -2*l(u) - 3*x(u). Factor j(n).
2*(n - 4)**2*(n + 1)**2
Let s(u) = u**2 - 66*u + 306. Let t be s(5). Let a(z) be the first derivative of 23/3*z**3 + 19/4*z**4 + t + 4/5*z**5 + 5/2*z**2 - 3*z. Let a(y) = 0. What is y?
-3, -1, 1/4
Let s = 681 - 675. Let n(t) be the second derivative of -5/4*t**3 + 1/2*t**4 - s*t + 0 + 3/4*t**2. Find h, given that n(h) = 0.
1/4, 1
Let h(n) = -64*n**3 + 28*n**2 + 1008*n - 1756. Let x(j) = 7*j**3 - 3*j**2 - 112*j + 195. Let f(m) = 3*h(m) + 28*x(m). Determine t, given that f(t) = 0.
-6, 2, 4
Determine u, given that -3/2 + 17/4*u - 1/2*u**3 - 9/4*u**2 = 0.
-6, 1/2, 1
Suppose -2*u = 2*i - 16, 5 = -3*i - 2*u + 28. Determine v, given that i*v**2 - 2*v**2 - 16*v + 51*v = 0.
-7, 0
Let g(u) be the first derivative of -8*u**5/55 + 59*u**4/22 - 178*u**3/33 - 26*u**2/11 - 359. Let g(s) = 0. What is s?
-1/4, 0, 2, 13
Determine n, given that 58*n - 139*n - 80 + 41*n - 5*n**2 = 0.
-4
Let l be (-104)/(-60) - 20/30. Let r(q) be the first derivative of -1/2*q**4 + 2/25*q**5 + 0*q - 4/5*q**2 + l*q**3 + 4. Find m such that r(m) = 0.
0, 1, 2
Suppose -2*w - k = 3*w - 12, 2*w - 3*k = -2. Factor -o**w - 6*o - 5*o**2 + 4*o**2.
-2*o*(o + 3)
Suppose -2*k - 11*q = -16*q - 21, 4*q = -k - 9. Let o(f) be the third derivative of k*f**2 + 0*f + 0*f**3 + 0*f**5 - 1/120*f**6 + 1/24*f**4 + 0. Factor o(y).
-y*(y - 1)*(y + 1)
Let q(h) be the second derivative of -2/69*h**4 + 0 + 1/230*h**5 + 6*h + 0*h**2 + 4/69*h**3. Determine s, given that q(s) = 0.
0, 2
Suppose 5*d - 5 = 5. Factor p**3 - 4*p**2 + d*p**2 + 0*p + 10*p - 6 - 3*p**3.
-2*(p - 1)**2*(p + 3)
Let y = 27 - 25. Factor -72 - 8 + 2*h**y - 5*h**2 - 2*h**2 + 40*h.
-5*(h - 4)**2
Let d = 1103/4 - 284. Let l = d + 9. Let -k - l*k**4 + 1/4 + 1/2*k**2 + k**3 = 0. What is k?
-1, 1/3, 1
Determine u so that -92*u + 30 + 5*u**4 + 1099*u**3 + 0 - 3*u**4 - 1135*u**3 + 96*u**2 = 0.
1, 15
Let d(n) be the third derivative of n**5/210 + n**4/12 - 10*n**3/7 + 2*n**2 + 10. Factor d(c).
2*(c - 3)*(c + 10)/7
Suppose 5*b - 20 = -w - 19, -4*w = -3*b - 4. Find i, given that b + 0*i - 2*i**2 + 2/3*i**3 = 0.
0, 3
Let v(g) be the first derivative of -g**6/240 - g**5/40 + 3*g**4/16 + 5*g**3/3 - 15. Let h(z) be the third derivative of v(z). Determine f so that h(f) = 0.
-3, 1
Suppose 5 = 5*c - 40. Let -c*w**4 + 20*w**4 + 2*w**3 + 9*w**4 - 6*w**3 - 25*w**5 = 0. What is w?
0, 2/5
Let c = 12 + -9. Suppose -5*z + 38 = -3*z. Factor -6*n + 9*n**2 - 9*n**4 - 8*n**5 + 3*n**c - 8*n**5 + z*n**5.
3*n*(n - 2)*(n - 1)**2*(n + 1)
Let y be (-1 - -1) + -7 + 845/120. Let b(z) be the third derivative of 0 - 1/21*z**3 + y*z**4 - 1/120*z**6 + 0*z - 7*z**2 + 1/210*z**5. Factor b(x).
-(x - 1)*(x + 1)*(7*x - 2)/7
Let z = 10671/14260 - -6/3565. Factor 1/4 + 3/4*h**2 - z*h - 1/4*h**3.
-(h - 1)**3/4
Suppose 28 = -3*r + 37, 21 = 5*p + 2*r. Find b, given that -4/3*b + 0*b**p + 2*b**2 - 2/3*b**4 + 0 = 0.
-2, 0, 1
Let n(o) = -o**3 + 2*o**2 + 3. Let j be n(2). Factor 8*v + 12*v**2 - 20*v**4 + 8*v**2 + 92*v**j - 100*v**3.
-4*v*(v - 1)*(v + 1)*(5*v + 2)
Let z = -29 + 20. Let g be (6/z - 0) + 1. Find q, given that 1/3*q**2 + 0 - g*q = 0.
0, 1
Let c be (-1052)/(-6) + (5 - (6 - 2)). Let f = 177 - c. Factor f*u**2 + 4/3 + 2*u.
2*(u + 1)*(u + 2)/3
Let c(z) be the third derivative of z**5/15 - 5*z**4/2 + 100*z**3/3 + 8*z**2 - 2*z. Let c(r) = 0. What is r?
5, 10
Let j = -3919/20 - -196. Let w(z) be the second derivative of 0 - j*z**6 - 1/20*z**5 + 1/12*z**4 - 1/84*z**7 + 1/4*z**3 + 2*z + 1/4*z**2. Factor w(r).
-(r - 1)*(r + 1)**4/2
Let n(j) be the third derivative of -j**6/540 + 7*j**5/270 + 5*j**4/108 - 25*j**3/9 + 2*j**2 - 110*j. Suppose n(y) = 0. Calculate y.
-3, 5
Solve 2/3*l**2 - 40/3 + 38/3*l = 0 for l.
-20, 1
Let h(u) be the 