/3, 5
Suppose -3*g + 1 = 5*d, -4*g - 5*d - 1 + 4 = 0. Let n(o) be the second derivative of -20*o - 1/21*o**3 + 0*o**4 + 1/70*o**5 + 0 + 0*o**g. Factor n(b).
2*b*(b - 1)*(b + 1)/7
Let q(r) be the second derivative of r**6/15 + 3*r**5/5 + 3*r**4/2 + 4*r**3/3 - 5*r + 312. Factor q(d).
2*d*(d + 1)**2*(d + 4)
Let x be (8/(-10)*6)/(4/(-10)). Determine h so that 2*h**2 + 14 - 34*h - 4*h**2 + 8*h**2 - 2 - x*h**2 + 40*h**3 = 0.
-1, 2/5, 3/4
Let l = 119 - -10. Let i = -129 + l. Solve 0*h - 1/5*h**3 + i - 2/5*h**2 = 0.
-2, 0
Let b = -3403/4 - -10217/12. Let w(i) be the second derivative of 4/9*i**3 - b*i**2 + 0 - 1/9*i**4 - 15*i. Find a, given that w(a) = 0.
1
Suppose 5*p - 123 = -98. Suppose -8*z - 1785*z**4 - 8 + 5*z**2 - 2*z**5 + 10*z**3 + 1783*z**4 + p*z**2 = 0. Calculate z.
-2, -1, 1, 2
Let i(t) be the second derivative of -t**6/10 + 27*t**5/20 + 3*t**4/4 - 25*t**3/2 - 27*t**2 - 21*t - 45. Suppose i(s) = 0. Calculate s.
-1, 2, 9
Let a(j) = 24*j**2 - 5 + 13*j**4 + 13*j**2 - 4 + 9*j - j**3 - 28*j**2. Let v(r) = -3*r**4 - 2*r**2 - 2*r + 2. Let s(o) = 4*a(o) + 18*v(o). Factor s(l).
-2*l**3*(l + 2)
Let l(q) = q**5 - 2*q**4 - q**3 + 3*q**2 + q - 1. Let j(z) = -7*z**5 - 17*z**4 - 180*z**3 - 412*z**2 - 347*z - 99. Let h(n) = -j(n) - 6*l(n). Factor h(o).
(o + 1)**3*(o + 5)*(o + 21)
Factor 32 + 69 + 4*n**2 + 44 - 169 + 4*n.
4*(n - 2)*(n + 3)
Let w(i) be the third derivative of i**8/48 - 29*i**7/210 + 13*i**6/40 - 19*i**5/60 + i**4/12 - 360*i**2 + 9. Factor w(o).
o*(o - 2)*(o - 1)**2*(7*o - 1)
Let h = 1694 + -1691. Suppose -n + h = 4*a - 0, a = -5*n + 15. Solve -5/3*x**2 + 0*x**n + 0*x + 5/3*x**4 + 0 = 0.
-1, 0, 1
Factor 123 - 3/2*s**2 + 243/2*s.
-3*(s - 82)*(s + 1)/2
Factor 2/3*g**2 + 35912/3 + 536/3*g.
2*(g + 134)**2/3
Let r(p) = p**3 - p**2 + 1. Let w = 14 - 11. Let h(o) = -21 - 9*o**2 + 2*o**3 + 9*o**w - 17*o**3 + 3*o + 15*o. Let t(l) = -h(l) - 18*r(l). Factor t(m).
-3*(m - 1)**2*(4*m - 1)
Let x(c) be the second derivative of 0 - 30*c**5 + 583/4*c**4 - 8/5*c**6 + 45*c**2 - 253/2*c**3 + 39*c. Let x(o) = 0. Calculate o.
-15, 1/4, 2
Let h(p) be the second derivative of -p**7/21 + 62*p**6/15 - 128*p**5 + 4577*p**4/3 - 2645*p**3 + 17*p + 156. Solve h(n) = 0 for n.
0, 1, 15, 23
Factor 113*j**5 - 156566*j + 6888*j**3 + 9066*j + 187500 + 21669*j**2 - 68269*j**2 + 92*j**5 - 292*j**4 - 201*j**5.
4*(j - 25)**3*(j - 1)*(j + 3)
Let g(l) = -3*l**3 - l + 4. Let w(n) = 14*n**3 + 60*n**2 - 62*n - 12. Let s(a) = -3*g(a) - w(a). What is p in s(p) = 0?
-13, 0, 1
Let p(j) be the second derivative of j**5/10 - 4*j**4/3 - 33*j**3 - 90*j**2 - 7111*j. Factor p(c).
2*(c - 15)*(c + 1)*(c + 6)
Let k(t) = -20*t**4 - t**3 + 3*t**2 - 1. Let n(y) = -37*y**4 + 225*y**3 - 73*y**2 - 227*y + 74. Let g(c) = 4*k(c) - 2*n(c). Solve g(f) = 0 for f.
-76, -1, 1/3, 1
Let j be (8 - 10)/(6/(-2) + 1). Let s(o) = 2*o**3 - o**2 + o. Let k be s(j). Factor 30*a**3 + 45*a + 6*a**2 + 54*a**k - 5*a + a**4 + 4*a**4.
5*a*(a + 2)**3
Let o(h) = -h**2 - 33*h + 30. Let g be o(-27). Solve 42*x**3 + 176*x + 80 - 4*x**4 - 10*x**3 - g*x - 51*x**2 - 9*x**2 = 0 for x.
-1, 2, 5
Suppose -w + 5*z + 105 = 4*z, z + 417 = 4*w. Let h = w + -102. Find t, given that 85*t**2 + 10*t**3 + 0*t**4 + 2*t - 94*t**h - 3*t**4 = 0.
0, 1/3, 1, 2
Suppose -1254*s**3 - 1041*s**2 + 146*s**3 + 2*s**4 + 154499*s**2 = 0. What is s?
0, 277
Let o(g) be the third derivative of g**7/21420 + 7*g**6/3060 - g**5/68 + 5*g**4/3 - 2*g**2 + 4*g. Let m(j) be the second derivative of o(j). Factor m(f).
2*(f - 1)*(f + 15)/17
Let i(j) be the first derivative of -2/15*j**5 + 1 + 2/3*j**3 + 1/3*j**4 - 8/3*j - 4/3*j**2. Solve i(s) = 0 for s.
-1, 2
Factor 461760*c + 1923/2*c**2 + 1/2*c**3 - 462722.
(c - 1)*(c + 962)**2/2
Let d be (0/(-8 - -4))/(11 + (-84)/6). Let p(j) be the first derivative of 1/5*j**5 + d*j**4 + j**2 + 0*j - j**3 + 19. Let p(f) = 0. Calculate f.
-2, 0, 1
Let g be (-6)/((-6)/17) - 2. Suppose -15*a + g = -10*a. Factor 2/3*q**4 - 2*q**2 + 2/3*q**a - 4/3 - 10/3*q.
2*(q - 2)*(q + 1)**3/3
Factor -2/11*w**4 + 34/11*w**3 + 128/11*w + 0 - 160/11*w**2.
-2*w*(w - 8)**2*(w - 1)/11
Factor -1/6*c**3 + 11/2*c + 0 + 16/3*c**2.
-c*(c - 33)*(c + 1)/6
Solve -3/2*i**2 - 279*i - 25947/2 = 0 for i.
-93
Let o = 2111/462 - -15/154. Let d(c) be the first derivative of 0*c + 6 + 2*c**5 - 9/2*c**4 + o*c**3 - 2*c**2 - 1/3*c**6. Determine t, given that d(t) = 0.
0, 1, 2
Let u(i) = 2*i**2 + 12*i + 31. Let x be u(-16). Let o = x + -347. Let -c**4 - o + 6*c - 3/2*c**3 + 5*c**2 = 0. Calculate c.
-2, 1/2, 2
Let g be 0*(-1)/(-2 - 0). Suppose g = -5*s + 6*s - 3. Factor 305*f**2 - f**5 + 0*f**5 - s*f**3 - 4*f**4 + 4*f - 301*f**2.
-f*(f - 1)*(f + 1)*(f + 2)**2
Let c(f) be the second derivative of 4 + 0*f**2 - 2*f - f**5 - 25/12*f**4 + 1/6*f**6 + 0*f**3. Factor c(x).
5*x**2*(x - 5)*(x + 1)
Let o(c) = -15*c**2 - 420*c + 303. Let b(n) = 8*n**2 + 210*n - 146. Let f(p) = 11*b(p) + 6*o(p). Factor f(t).
-2*(t - 1)*(t + 106)
Find g such that 1/3*g**2 + 867 + 34*g = 0.
-51
Let l(a) be the second derivative of -3*a**5/80 + 29*a**4/16 - 131*a**3/8 - 483*a**2/8 + 15*a - 17. Determine z, given that l(z) = 0.
-1, 7, 23
Factor 2455 - 152*j - 2*j**4 + 152*j**3 - 1091 - 2886*j**2 + 1524 + j**4 - j**4.
-2*(j - 38)**2*(j - 1)*(j + 1)
Factor z**2 + z**3 - z**3 + z**3 - 1 - 2919*z + 2918*z.
(z - 1)*(z + 1)**2
Let r be ((-12)/22)/((-6)/2*((-126)/(-132))/21). Find m, given that r*m - 3/2*m**2 - 8/3 = 0.
4/3
Factor 48/13*m + 2/13*m**2 + 88/13.
2*(m + 2)*(m + 22)/13
Let w = 37 + -34. Let v be (156/(-9) - -2)/((-2)/w). Suppose 8*y - 14*y**2 + 29*y**2 - v*y + 5 - 5*y**3 = 0. Calculate y.
1
Let r(w) be the second derivative of 139*w**6/15 + 250*w**5/3 + 832*w**4/3 + 368*w**3 - 16*w**2/3 + 4600*w. Factor r(m).
2*(m + 2)**3*(417*m - 2)/3
Let s be (-4)/(-6) + (-1)/(780/(-1214600)). Let h = s + -1556. Solve 32/13*i - 8/13 - 62/13*i**3 + h*i**4 + 14/13*i**2 = 0.
-2/3, 1/4, 1, 2
Suppose 31*k = 30*k + 18. Let 17*q + k*q + 4*q**2 - 47*q = 0. What is q?
0, 3
Let h = 68 - 33. Let p = h + 11. Factor -p*b**2 + 40 + b**2 + 102*b**3 - 108*b**3 - 72*b + 8.
-3*(b + 4)**2*(2*b - 1)
Let d be (0 + 0)*14/168*3. Let z(q) be the second derivative of 0*q**3 + 1/51*q**4 + 0 + d*q**2 - 1/170*q**5 - 13*q. Factor z(x).
-2*x**2*(x - 2)/17
Let h(j) = j**3 + 6*j**2 - 118*j + 50. Let y be h(8). Factor -4/3*i**y - 28/3*i - 40/3.
-4*(i + 2)*(i + 5)/3
Let v be (-268)/3350 - 77/(-25). Let m(g) be the first derivative of 0*g + 0*g**5 + 5/36*g**4 - 2 - 1/54*g**6 - 2/9*g**2 + 0*g**v. Solve m(k) = 0 for k.
-2, -1, 0, 1, 2
Let s(g) be the first derivative of -3*g**4/16 - 11*g**3/4 + 183*g**2/8 + 1365*g/4 - 8788. Factor s(u).
-3*(u - 7)*(u + 5)*(u + 13)/4
Let j = -926 - -928. Let b(w) be the first derivative of 1/2*w**3 - 18 - 3/10*w**5 + 1/6*w**6 - 1/8*w**4 - 1/4*w**j + 0*w. Let b(d) = 0. What is d?
-1, 0, 1/2, 1
Let t = -1100 + 1628. Factor -40*y**4 + t*y**2 + 14*y**4 + 15*y**4 + 15*y**4 + 3584*y - 112*y**3 + 4096.
4*(y - 16)**2*(y + 2)**2
Let a(y) be the first derivative of -3*y**2 + 1/6*y**4 - 16/9*y**3 + 0*y - 107. Determine p, given that a(p) = 0.
-1, 0, 9
Factor -38/3*c - 52 - 2/3*c**2.
-2*(c + 6)*(c + 13)/3
Let w be (-21)/9*(-45)/(-15). Let y(z) = z**2 - 17*z - 165. Let f be y(w). Determine t so that -16/5*t**f + 8/5*t**2 - 12/5 + 16/5*t + 4/5*t**4 = 0.
-1, 1, 3
Let f(y) be the first derivative of -y**6/2 - 408*y**5/5 + 825*y**4/4 - 138*y**3 - 1311. Let f(j) = 0. What is j?
-138, 0, 1
Let p(n) be the first derivative of n**6/780 + n**5/78 + 43*n**2/2 - 63. Let r(a) be the second derivative of p(a). What is m in r(m) = 0?
-5, 0
Let n(q) = -3*q**3 + 30*q**2 + 183*q + 194. Let a(t) = -17*t**3 + 182*t**2 + 1095*t + 1165. Let p(o) = -4*a(o) + 23*n(o). Determine i so that p(i) = 0.
-33, -3, -2
Let a = 4055 - 101372/25. Let r(n) be the first derivative of -9/20*n**4 + 6/5*n**2 + 12 + 0*n - a*n**5 + 0*n**3. What is m in r(m) = 0?
-2, 0, 1
Let h(j) be the second derivative of -3/5*j**3 + 0*j**2 + 1/50*j**5 + 3*j + 0*j**4 + 10. Factor h(d).
2*d*(d - 3)*(d + 3)/5
Factor 281*u - 60*u**3 + 689*u + 245*u + 2*u**4 + 430*u**2 + 118*u**3 - 265*u.
2*u*(u + 5)**2*(u + 19)
Let a be 105 + (8/(-10) - 1102/(-290)). Suppose -a*y + 114*y = 0. Factor -20/3*l**2 - 2/3*l**3 + y*l + 0.
-2*l**2*(l + 10)/3
Determine q, given that 1981*q + 14*q**4 - 12*q**4 + 61*q**3 + 