ulate h.
-54, -1/3, 1, 2
Suppose 3*m - 36 = 3*k, 2*k = -5*m + 9 + 30. Let b be -1 + 76/6 - m/(-27). Factor b*h**4 + 10*h**4 - 13*h**4 - 6*h**3 - 3*h**5.
-3*h**3*(h - 2)*(h - 1)
Let i(b) = 2*b**4 + 38*b**3 + 70*b**2 + 2*b. Let m(d) = 5*d + 7*d**4 + 139*d**2 - 6*d**4 + 3*d**4 - d**4 + 77*d**3. Let w(h) = 5*i(h) - 2*m(h). Factor w(f).
4*f**2*(f + 3)*(f + 6)
Let g = 468 - 463. Factor -15*d**3 - 6*d**4 + 12*d + 351*d**5 - 3*d**4 - 348*d**g + 9*d**2.
3*d*(d - 4)*(d - 1)*(d + 1)**2
Let o(j) be the third derivative of j**6/180 - j**5/15 + j**4/4 - 38*j**3 - 17*j**2. Let s(g) be the first derivative of o(g). Factor s(c).
2*(c - 3)*(c - 1)
Let k = 46 - 39. Suppose p - k + 3 = 0. Factor 5*g**p + 286*g**3 + 9*g**2 - 301*g**3 - 4*g**2 + 15*g - 10.
5*(g - 2)*(g - 1)**2*(g + 1)
Factor 104*j**3 - 101*j**3 - 107*j + 37*j**2 - 39 - 6*j**2.
(j - 3)*(j + 13)*(3*j + 1)
Let z(r) be the second derivative of 1/9*r**3 + 0*r**2 + 0 + 1/18*r**4 - r. Find m such that z(m) = 0.
-1, 0
Let j(i) be the second derivative of i**4/102 + 97*i**3/51 + 96*i**2/17 + 752*i + 4. Factor j(s).
2*(s + 1)*(s + 96)/17
Let u(s) be the third derivative of -45*s**2 + 0*s - 8/7*s**4 + 32/7*s**3 + 1/7*s**5 - 1/140*s**6 + 0. What is l in u(l) = 0?
2, 4
Factor -174/11*x - 2/11*x**2 - 504/11.
-2*(x + 3)*(x + 84)/11
Let q = -5152/3363 - -29/19. Let j = 1079/3009 + q. Factor -2/17*d**3 - j*d + 18/17 - 10/17*d**2.
-2*(d - 1)*(d + 3)**2/17
Suppose -19 = -n + 3*d, 4*d - 5*d + 15 = 5*n. Suppose -n*v - 2 = -5*v. Factor 1/6*g**4 - 1/6*g**3 - 1/6*g**v + 0 + 1/6*g.
g*(g - 1)**2*(g + 1)/6
Let b = -1674 + 1677. Let f(v) be the second derivative of 5/9*v**4 - 16/9*v**b - 1/15*v**5 - 11*v + 8/3*v**2 + 0. Solve f(w) = 0 for w.
1, 2
Let a = -39455/36 - -1096. Let o(p) be the first derivative of a*p**4 + 0*p**3 + 1/54*p**6 + 2/45*p**5 + 0*p + 0*p**2 - 13. Solve o(u) = 0.
-1, 0
Let d be (30/(-75))/((-6)/5)*15. Suppose -d*l + 5 + 15 = 0, 0 = -5*r - 4*l + 26. Factor 0 - 2/15*i**r - 2/15*i.
-2*i*(i + 1)/15
Let n(a) be the second derivative of 0*a**2 - 37/60*a**5 - 2/9*a**3 - 10/9*a**4 - 127*a - 1/10*a**6 + 0. Factor n(u).
-u*(u + 2)**2*(9*u + 1)/3
Solve 0 + 10/3*s**3 - 2/9*s**4 + 0*s**2 + 0*s = 0 for s.
0, 15
Let n(m) be the second derivative of -1/12*m**6 + 91*m + 0*m**2 + 0*m**4 - 1/20*m**5 + 0 + 1/28*m**7 + 0*m**3. Let n(l) = 0. What is l?
-1/3, 0, 2
Let a(j) be the first derivative of -5*j**6/6 - 55*j**5 + 15*j**4/2 + 1610*j**3/3 - 2185*j**2/2 + 825*j - 591. Determine f so that a(f) = 0.
-55, -3, 1
Let g = -4/4205 + 1010/841. Factor -3/5*z + 3/5 - 3/5*z**5 + 3/5*z**4 + g*z**3 - 6/5*z**2.
-3*(z - 1)**3*(z + 1)**2/5
Let f = -25 - -32. Suppose -4*r + 22 = -6*a + f*a, 0 = 3*a - r - 1. Find g such that 13*g**5 - 4*g**4 + 17*g**5 - 26*g**5 + 8*g - 12*g**3 + 4*g**a = 0.
-1, 0, 1, 2
Let o(t) be the second derivative of 0 + 7/12*t**4 - 17/6*t**3 + 3*t**2 - 54*t. Solve o(i) = 0 for i.
3/7, 2
Let f(o) be the third derivative of 16*o**3 + 0 + 1/360*o**5 + 1/3*o**4 + 62*o**2 + 0*o. Let f(p) = 0. Calculate p.
-24
Let n(m) = -16*m**3 + 8*m**2 - 11*m - 7. Let z(a) = 7*a**3 - 3*a**2 + 5*a + 3. Let j = -401 - -404. Let b(d) = j*n(d) + 7*z(d). Factor b(u).
u*(u + 1)*(u + 2)
Let x(j) = -61*j**4 + 160*j**3 - 56*j**2 + 4. Let t(d) = -70*d**4 + 160*d**3 - 55*d**2 + 5. Let c(f) = -4*t(f) + 5*x(f). Factor c(i).
-5*i**2*(i - 6)*(5*i - 2)
Let u(i) = 2*i**2 - 20*i - 28. Let g(a) = -6*a**2 + 62*a + 84. Suppose -24 = 33*m - 36*m. Let t(p) = m*u(p) + 3*g(p). Suppose t(q) = 0. Calculate q.
-1, 14
Let l be 6 + 7 - 12/(-6). Suppose l = 13*z - 11. Solve -z*g + 2/5*g**3 + 6/5 + 2/5*g**2 = 0.
-3, 1
Let o(s) be the second derivative of -705/2*s**4 - 25/6*s**6 + 5/42*s**7 - 3645/2*s**2 + 111/2*s**5 - 2*s - 11 + 2295/2*s**3. Find f such that o(f) = 0.
1, 3, 9
Let v(i) = 5*i**2 + 179*i - 60. Let j(w) = 10*w**2 + 357*w - 130. Let c(p) = -6*j(p) + 13*v(p). Solve c(m) = 0 for m.
-37, 0
Factor -v**3 + 342*v**2 - 20 + 335*v**2 - 19*v - 690*v**2 - 27*v + 14*v.
-(v + 1)*(v + 2)*(v + 10)
Let g(d) be the first derivative of d**7/168 - 5*d**6/72 + d**5/12 + 5*d**4/3 + 7*d**3/3 - d + 19. Let w(h) be the third derivative of g(h). Factor w(k).
5*(k - 4)*(k - 2)*(k + 1)
Determine a so that 288/7 - 93/7*a**3 + 489/7*a + 111/7*a**2 - 3/7*a**4 = 0.
-32, -1, 3
Suppose 162*u - 55 = 157*u. Suppose -5*o - 12 = -u*o. Factor -4/3*f**2 + 2/3*f**3 - o*f + 0.
2*f*(f - 3)*(f + 1)/3
Let q(g) be the first derivative of g**6/1440 + 11*g**5/480 - 26*g**3/3 - 8. Let r(j) be the third derivative of q(j). Factor r(a).
a*(a + 11)/4
Let y(k) = 2*k**2 - 114*k + 1514. Let f be y(21). Suppose -7/4*n**4 - 1/2*n**3 + 1 + 21/4*n**f + 5*n = 0. What is n?
-1, -2/7, 2
Factor -10 - 10*k**3 - 91/3*k + 2/3*k**4 - 92/3*k**2 + 1/3*k**5.
(k - 6)*(k + 1)**3*(k + 5)/3
Let u(o) = 2*o - 9. Let z = -23 - -29. Let p be u(z). Factor -6*r + r - 190*r**p - 20*r**4 + 150*r**3 + 0*r - 25*r**2.
-5*r*(r + 1)*(2*r + 1)**2
Suppose -4 = -2*k - 5*f + 2, -5*k + f + 15 = 0. Factor -6151*y**4 + 6157*y**4 + k*y**5 - 7*y**3 + 12*y**2 - 14*y**3.
3*y**2*(y - 1)**2*(y + 4)
Let k(r) be the first derivative of 1/30*r**6 + 4/15*r**3 + 0*r + 88 - 2/25*r**5 + 2/5*r**2 - 3/20*r**4. Find n, given that k(n) = 0.
-1, 0, 2
Let w be -3 + 3 - 0/(-1). Let z(q) = 2*q**2 - 2*q + 770. Let r be z(w). Suppose -5*j**2 - 764 + 3*j + 4*j + r = 0. Calculate j.
-3/5, 2
Suppose -f = 21 - 29. Let v(y) = -2*y + 18. Let p be v(f). Factor -4/5*h**4 + 2/5*h - 2/5*h**5 + 0 + 4/5*h**p + 0*h**3.
-2*h*(h - 1)*(h + 1)**3/5
Let f(o) = -1086*o**2 + 3235*o + 19. Let w(a) = -4347*a**2 + 12940*a + 78. Let b(y) = -9*f(y) + 2*w(y). Let b(d) = 0. Calculate d.
-1/216, 3
Let l be (-92)/(-22) + (-2)/(-11)*-1. Let y = -266/37 - -2690/333. Determine g, given that -2/9*g**3 + 0 + 0*g + y*g**l + 0*g**2 - 2/3*g**5 = 0.
0, 1/3, 1
Let l(q) = q**3 - 7*q**2 - 5*q - 4. Let c be l(8). Suppose 2 - c = -6*s. Solve -v**3 - s*v**3 + 15*v - v**3 - 10 = 0 for v.
-2, 1
Let a(s) be the first derivative of -3*s**5/10 + 3*s**4/8 - 6117. Find w, given that a(w) = 0.
0, 1
Let c be (-8)/21*960/(-2560). Factor 0 + c*s**3 + 0*s**2 - 9/7*s.
s*(s - 3)*(s + 3)/7
Let y(b) be the second derivative of -b**6/180 + 73*b**5/120 - 8*b**4/9 - 49*b**3/3 + 72*b**2 - 11081*b. Factor y(n).
-(n - 72)*(n - 2)**2*(n + 3)/6
Let r(v) be the first derivative of -7/5*v**5 - 1/2*v**4 + 0*v**3 + 0*v + 83 + 0*v**2. Let r(g) = 0. Calculate g.
-2/7, 0
Suppose -144/7 + 4/7*m**4 - 96/7*m + 24/7*m**3 + 20/7*m**2 = 0. What is m?
-3, -2, 2
Let a = -483 + 487. Factor 317*h**2 - 4*h + 4*h**a - 4*h**3 + h**5 - 327*h**2 + 5*h**3 + 8.
(h - 1)**2*(h + 2)**3
Let k(q) be the third derivative of 0 - 5*q - 1/120*q**5 - 3/8*q**4 - 13*q**2 - 27/4*q**3. Find g such that k(g) = 0.
-9
Suppose -1510 - 30 = -788*j + 36. Determine q, given that 26/9*q**4 + 4/3*q - 16/9*q**3 + 0 - 14/9*q**j - 8/9*q**5 = 0.
-3/4, 0, 1, 2
Let i be (344/(-10) + (26 - -9))/(2*(-9)/(-40)). Let 92/3*n**2 + 32/3*n - i*n**3 - 76/3*n**4 - 28/3*n**5 - 16/3 = 0. Calculate n.
-2, -1, 2/7, 1
Let f(q) = 20*q + 420. Let i be f(-21). Factor -2*v**2 + 0*v - 1/4*v**3 + i.
-v**2*(v + 8)/4
Suppose 0 = -7*q + q + 252. Let v = q + -40. Let -15*u - 5*u**4 + 27*u**3 + 43*u**3 - 5*u**v - 55*u**3 + 10 = 0. What is u?
-1, 1, 2
Let a = -40 + 43. Find b such that 144 + 98*b**4 - 1104*b + 98*b**4 + 433*b**2 + 2019*b**2 - 1442*b**3 + 154*b**a = 0.
2/7, 3
Suppose 7 = -5*i - 2*i. Let u be (-2)/(-8) + i/12*-1. Solve 0 + 0*m - 1/3*m**3 + u*m**2 = 0 for m.
0, 1
Factor -512 - 702052*m**2 + 702168*m**2 + m**3 - 5*m**3 + 400*m.
-4*(m - 32)*(m - 1)*(m + 4)
Let k(x) = 8*x - 86. Let t be k(11). Factor 5*h**2 + t*h**2 + 12*h**2 - 6*h**3 + 5*h**3.
-h**2*(h - 19)
Let n(d) be the third derivative of -19*d**6/300 - 173*d**5/150 - 17*d**4/6 - 16*d**3/15 + 497*d**2. Suppose n(h) = 0. What is h?
-8, -1, -2/19
Let m(l) = 99*l - 96. Let u be m(1). Let 0 + 1/2*v**4 - 1/2*v**2 - 1/2*v**u + 1/2*v = 0. What is v?
-1, 0, 1
Let n(c) be the third derivative of 33*c**2 + 5/2*c**3 + 0*c + 1/70*c**7 + 1/2*c**4 - 3/10*c**5 + 0 - 1/10*c**6. Factor n(q).
3*(q - 5)*(q - 1)*(q + 1)**2
Suppose 0 = -3*i + 12, 5*i = -2*b + 3*b + 20. Solve -26*c**2 + 116*c**2 + 100*c + 24*c**3 + 2*c**4 + b*c**4 = 0.
-5, -2, 0
Let h(m) = -342*m + 8550. Let b be h(25). Suppose b + 2/15*a**4 + 8/15*a + 2/3*a**3 + 16/15*a**2 = 0. What is a?
-2, -1, 