*g**3 = 0.
-3, -2, 0, 1
Let n = 41 + -36. Suppose -n*y + 5*x = 10, -3*y - 3*x + 9 = -9. Factor 9*d - 3*d**4 - d + 2*d + 15*d**y - 2*d**4.
-5*d*(d - 2)*(d + 1)**2
Let x = -406 + 410. Let r(m) be the second derivative of 1/4*m**5 + 6*m + 0*m**2 + 0*m**3 + 0 - 5/6*m**x. Suppose r(p) = 0. What is p?
0, 2
Let l(i) be the second derivative of i**9/22680 - i**8/10080 - i**7/630 - 59*i**4/6 - i + 65. Let u(m) be the third derivative of l(m). What is d in u(d) = 0?
-2, 0, 3
Determine a, given that -352/5 - 104/5*a - 4/5*a**2 = 0.
-22, -4
Let u(a) = -26*a + 312. Suppose 185 + 55 = 20*z. Let v be u(z). Solve v*q + 3/2*q**2 - 6 = 0 for q.
-2, 2
Let o = 8854/9 + -8830/9. Find q such that 52/3*q**4 + o*q**2 - 8/3*q + 18*q**3 + 14/3*q**5 + 0 = 0.
-2, -1, 0, 2/7
Let c(t) = t**3 - 31*t**2 + 5. Let r be c(31). Factor o**r - 12*o**3 + 6*o**2 - 4*o**5 + 10*o**3 + 11*o**3.
-3*o**2*(o - 2)*(o + 1)**2
Let j(m) be the third derivative of -m**7/840 + 3*m**6/5 - 4147*m**5/48 - 3*m**4 + 864*m**3 - 2566*m**2. Suppose j(c) = 0. What is c?
-1, 1, 144
Let d(z) be the second derivative of -z**5/5 + 109*z**4/3 + 150*z**3 - 666*z**2 + 5*z - 236. Solve d(f) = 0 for f.
-3, 1, 111
Suppose 1862*n - 5041 = 545. Factor 96/13 + 664/13*c - 98/13*c**n + 1120/13*c**2.
-2*(c - 12)*(7*c + 2)**2/13
Let r be ((-41)/(-123))/((-1)/(-36)). Factor -23 + 113 + 128*a - 227*a - 264*a + r*a**2.
3*(a - 30)*(4*a - 1)
Let z(g) be the third derivative of -g**6/360 + 461*g**5/60 - 212521*g**4/24 + 97972181*g**3/18 - 11*g**2 - 4. Factor z(p).
-(p - 461)**3/3
Let n(z) be the third derivative of z**6/300 - 49*z**5/50 - 99*z**4/20 - 149*z**3/15 + 4933*z**2. Factor n(j).
2*(j - 149)*(j + 1)**2/5
Let c(a) be the third derivative of a**6/150 + 72*a**5/25 + 374*a**4 - 19360*a**3/3 + 233*a**2 - 3*a. Factor c(b).
4*(b - 4)*(b + 110)**2/5
Let y(d) be the third derivative of -d**5/30 + 61*d**4/6 - 121*d**3/3 - 445*d**2 + 3*d. Determine g so that y(g) = 0.
1, 121
Let y = 3597 + -3591. Let m(a) be the second derivative of 5/12*a**4 - 25/6*a**3 + y*a + 15/2*a**2 + 1/4*a**5 + 0. What is c in m(c) = 0?
-3, 1
Let a(z) = 75*z**3 + 360*z**2 + 465*z + 55. Let i(q) = 93*q**2 + 5 + 23 - 1754*q + 37*q**3 + 87*q**2 + 1987*q. Let v(k) = 2*a(k) - 5*i(k). Factor v(w).
-5*(w + 2)*(w + 3)*(7*w + 1)
What is n in -11025/4 - 109/4*n**2 - 2415/2*n - n**4 + 23*n**3 = 0?
-7/2, 15
Let m(s) be the second derivative of s**5/70 - 6*s**4/7 - 55*s**3/7 + 200*s**2/7 + 1508*s. Factor m(a).
2*(a - 40)*(a - 1)*(a + 5)/7
Let z = -1374 + 1359. Let r be (z/((-240)/(-64)))/((-5)/6). Solve -r*i**3 + 0*i - 32/5*i**2 + 0 - 4/5*i**4 = 0 for i.
-4, -2, 0
Let w be -3*(-9 - (8 - 46/3)). Let f(t) be the third derivative of 2/3*t**3 - 1/45*t**w + 18*t**2 + 0*t + 0 + 1/9*t**4. Solve f(v) = 0 for v.
-1, 3
Let m = -11154 + 11159. Factor -m - 5/3*t**3 + 5*t**2 + 5/3*t.
-5*(t - 3)*(t - 1)*(t + 1)/3
Let m(r) = -r**3 + 20*r**2 - 125*r + 579. Let x be m(14). Factor 3*d**4 + 0*d + 0 + 4*d**2 + 1/2*d**x + 6*d**3.
d**2*(d + 2)**3/2
Let w = -4119/31 + 133. Let o = w + 3/217. Solve -o*n**5 - 4/7*n**4 + 0 - 2/7*n**2 + 0*n - 5/7*n**3 = 0 for n.
-2, -1, 0
Suppose 5*k = -6*u + 32, -1064*u - k = -1060*u - 12. Solve -12*w - 1/2*w**u - 22 = 0.
-22, -2
Suppose -23*k + 5*c + 104 = 0, 398 = 4*k + 5*c + 421. Factor 0*m - 1/4*m**k + 0 + 2*m**2.
-m**2*(m - 8)/4
Find x, given that 5546716 + 12839857*x + 1533784 - 880680*x + 2243439*x**3 + 9270423*x + 21205805*x**2 + 5*x**5 - 11885*x**4 + 4801376*x**3 = 0.
-1, 1190
Suppose 0 = -12*z + 183 + 177. Suppose 0 = 11*f - 250 + z. Let 8*u**3 - f*u + 4/3*u**5 - 24 + 64/3*u**2 - 8*u**4 = 0. Calculate u.
-1, 2, 3
Let s(k) be the first derivative of -k**6/2 + 18*k**5/5 + 237*k**4/4 - 84*k**3 - 9487. Determine d so that s(d) = 0.
-7, 0, 1, 12
Solve -32/3*j**4 - 56/3*j - 1/3*j**5 + 0 - 39*j**3 - 142/3*j**2 = 0.
-28, -2, -1, 0
Factor 0 + 0*w**2 - 18/13*w**4 + 0*w + 20/13*w**3 - 2/13*w**5.
-2*w**3*(w - 1)*(w + 10)/13
Let n(y) be the third derivative of y**5/30 + 5*y**4/6 + 8*y**3 + 46*y**2 - 3*y + 17. Factor n(h).
2*(h + 4)*(h + 6)
Let f(w) be the third derivative of w**7/210 + 11*w**6/8 - 671*w**5/60 + 281*w**4/8 - 169*w**3/3 + 2*w**2 - 1654*w. Solve f(r) = 0 for r.
-169, 1, 2
Let 0 + 1/5*o**2 + 479/5*o = 0. What is o?
-479, 0
Let v(f) = 9*f**3 + 79*f**2 - 24*f - 52. Let y be v(-9). Let s(g) be the second derivative of 0 - 4/3*g**4 - y*g**2 + 10/3*g**3 - 15*g. Factor s(z).
-4*(z - 1)*(4*z - 1)
Let a be ((-69)/690)/(30/4 - 8). Let k = 1/33 - -61/165. Determine z so that 3/5*z + k + a*z**2 = 0.
-2, -1
Let h = -94802 - -474046/5. Solve -h*w**4 + 36/5*w**2 + 28/5*w**5 - 4*w**3 + 0 - 8/5*w = 0.
-1, 0, 2/7, 1
Let z(l) be the third derivative of 151*l**2 - 1/180*l**5 + 0 + 0*l**3 + 17/36*l**4 + 0*l. Find b such that z(b) = 0.
0, 34
Let w(z) be the second derivative of -z**7/560 - 17*z**6/240 - 31*z**3 + 18*z + 2. Let f(o) be the second derivative of w(o). Factor f(s).
-3*s**2*(s + 17)/2
Let w = 10306686/11 + -936970. Determine n, given that -2/11*n**5 - w*n - 8/11*n**4 + 20/11*n**2 + 0 + 6/11*n**3 = 0.
-4, -2, 0, 1
Find t, given that -220*t - 164*t + 6*t**2 - 3*t**2 + 920 + 2*t**2 - 86*t = 0.
2, 92
Let g be -1*5 + 3/(-2)*(-15960)/3420. Factor -44/3*n**g - 16/3 - 32*n.
-4*(n + 2)*(11*n + 2)/3
Factor -14 + 68 - 17 - 14 - 22*j - j**2.
-(j - 1)*(j + 23)
Let z(a) be the first derivative of a**7/4200 + a**6/180 + 7*a**5/150 + a**4/5 + 27*a**3 - 70. Let y(u) be the third derivative of z(u). Factor y(o).
(o + 2)**2*(o + 6)/5
Let h be ((-12)/1920*-15)/(30/4). Let k(d) be the second derivative of -1/24*d**3 + 0 - h*d**5 - 1/24*d**4 - 28*d + 0*d**2. Factor k(y).
-y*(y + 1)**2/4
Let p(r) be the first derivative of -r**5/80 - 11*r**4/16 + 23*r**3/8 + 81*r**2/2 + 43. Let x(g) be the second derivative of p(g). Factor x(n).
-3*(n - 1)*(n + 23)/4
Let w(g) = 9*g**4 - 4*g**3 - g**2 + 4*g + 6. Let q = 47 + -41. Let a(x) = 8*x**4 - 4*x**3 - 2*x**2 + 4*x + 6. Let b(t) = q*w(t) - 7*a(t). Solve b(i) = 0 for i.
-1, 1, 3
Let y(a) be the first derivative of -65/2*a**2 - 5/4*a**4 + 70 + 0*a - 70/3*a**3. Determine h, given that y(h) = 0.
-13, -1, 0
Let q(v) be the third derivative of v**6/180 - 2*v**5/45 - 8*v**4/3 - 6*v**2 - 32. Solve q(w) = 0.
-8, 0, 12
Let n(s) = -s**3 - s. Let x(o) = 4*o**3 - 3*o**2 - 3*o + 8. Suppose -2*d + 14 = -4*j, -28 = d - 33. Let k(y) = j*x(y) - 3*n(y). Find g, given that k(g) = 0.
-2, 1, 4
Let y = -9 + 13. Let h(t) = -y*t**2 - 17 + 4 + 2 - 12*t. Let v(w) = -12*w**2 - 36*w - 34. Let x(i) = 10*h(i) - 3*v(i). Factor x(b).
-4*(b + 1)*(b + 2)
Suppose -19*q = 4*v - 118, -2*q - 220 = 3*v - 284. Factor 0 - 4/3*i**q + 2/9*i**3 - 32/9*i.
2*i*(i - 8)*(i + 2)/9
Factor 5/3*r**2 - 655/3*r - 220.
5*(r - 132)*(r + 1)/3
Let t be (5/((-170)/(-3)))/(-3)*(-3 + -11). Let n(x) be the first derivative of -6/17*x - 10/51*x**3 - t*x**2 - 13 - 1/34*x**4. Let n(c) = 0. What is c?
-3, -1
Suppose -4/5*b + 7/5*b**3 + 4/5*b**2 - 4/5*b**4 - 3/5*b**5 + 0 = 0. What is b?
-2, -1, 0, 2/3, 1
Let m(l) be the first derivative of -5*l**6/2 - 65*l**5 + 1595*l**4/4 - 805*l**3 + 710*l**2 - 260*l - 306. Suppose m(d) = 0. What is d?
-26, 1/3, 1, 2
Let y(q) be the third derivative of -q**5/240 + 17*q**4/24 + 2*q**2 - 1351. Solve y(g) = 0 for g.
0, 68
Let q(l) = l**3 + 85*l**2 - 1387*l + 16. Let s be q(14). Let 0 + 3*v**s + 7/2*v - 1/2*v**3 = 0. What is v?
-1, 0, 7
Let r be (-10624)/(-768) - (-10)/(-12) - 11. Suppose 1/4*t**4 + 1/4*t**r - 6*t + 3/2*t**3 + 4 = 0. Calculate t.
-4, 1
Let c(f) be the first derivative of -2*f**3/3 - 129*f**2 + 792*f - 1831. Let c(i) = 0. What is i?
-132, 3
Let q be -2*(2 + (-6 - -2)). Suppose -2*k - 8 = 0, 3*m + 4*k = 5*m - 22. Let 13*f**3 + 3*f**q - 20*f**m + 5*f**2 + 17*f**3 + 2*f**4 = 0. What is f?
-1, 0
Let s = 38 - 35. Suppose 0 = s*x + x - 76. Factor -23*z**4 + z**3 + x*z**4 - 9*z**3 + 4*z**5.
4*z**3*(z - 2)*(z + 1)
Suppose l + 34 + 10 = 0. Let q = 53 + l. Factor -6 + q + 6*j**2 + 11*j - 3*j**3 + 3 + 4*j**3.
(j + 1)*(j + 2)*(j + 3)
Let i(u) be the first derivative of -144*u - 4/3*u**3 + 26 + 24*u**2. Suppose i(m) = 0. What is m?
6
Let z(g) be the second derivative of 5/12*g**3 - 1/96*g**6 + 17*g + 7/2*g**2 + 0 + 5/96*g**4 - 1/24*g**5. Let o(b) be the first derivative of z(b). Factor o(x).
-5*(x - 1)*(x + 1)*(x + 2)/4
Suppose 0 = 18*g - 15*g + 9. Let u(o) = -8*o**2 + 