n**3 + 2*n**5 + 2*n**2 = 0 for n.
-1, 1, 2
Suppose -7*b + 589 = -300. Factor b*a + 2883 + 128*a - 69*a + 3*a**2.
3*(a + 31)**2
Let l(n) = -5*n**4 - 86*n**3 - 577*n**2 + 8*n - 88. Let m(f) = -6*f**4 - 84*f**3 - 576*f**2 + 9*f - 99. Let p(h) = -9*l(h) + 8*m(h). Solve p(x) = 0 for x.
-5, 0, 39
Let o(k) be the second derivative of -k**4/6 - 176*k**3/3 - 519*k**2 + 283*k + 4. Determine c, given that o(c) = 0.
-173, -3
Suppose -46*p + 1600 = 312. Let t(u) = u**3 - 27*u**2 - 27*u - 24. Let b be t(p). Find o, given that b*o**3 - 10*o**2 + 0*o + 0 - 2/5*o**4 = 0.
0, 5
Let z(a) = -384*a - 7296. Let i be z(-19). Let c(u) be the second derivative of i*u**2 + 0 - 18*u - 1/21*u**4 - 4/7*u**3. Factor c(j).
-4*j*(j + 6)/7
Let a(n) be the third derivative of 6*n**7/35 - 85*n**6/2 - 434*n**5/15 + 566*n**4/3 + 1136*n**3/3 + 12*n**2 - n + 7. Determine x, given that a(x) = 0.
-2/3, 1, 142
Let -239*s**3 - 191*s**3 - 8*s**5 - 64658*s**4 + 124*s**2 + 64396*s**4 = 0. What is s?
-31, -2, 0, 1/4
Let y(q) be the first derivative of q**6/48 - 9*q**5/40 + 13*q**4/16 - 5*q**3/6 - 3*q**2/2 + 4*q - 1682. Suppose y(u) = 0. What is u?
-1, 2, 4
Let q(m) = m**2 - 24*m. Let k be q(12). Let d = k + 151. Suppose -13*a + 150*a**3 - d*a + 5*a**2 - 145*a**3 - 20 = 0. What is a?
-2, -1, 2
Let i = 863464 - 863464. Factor 12/5*a**3 + i - 63/5*a**2 + 51/5*a.
3*a*(a - 1)*(4*a - 17)/5
Let i(x) be the third derivative of -x**8/112 - 11*x**7/70 - 23*x**6/20 - 23*x**5/5 - 11*x**4 - 16*x**3 + 1173*x**2 + x. Factor i(p).
-3*(p + 1)*(p + 2)**3*(p + 4)
Let g(z) be the third derivative of -z**8/504 - 11*z**7/63 - 53*z**6/60 - 157*z**5/90 - 13*z**4/9 - z**2 - 3*z + 58. Find d, given that g(d) = 0.
-52, -1, 0
Suppose -3*a - 15 + 27 = 0. What is k in -4*k**2 - 13*k**3 - 2*k**5 + k**2 + 9*k**2 + a*k**4 + 5*k**5 = 0?
-3, 0, 2/3, 1
Let w(l) be the first derivative of -1/18*l**3 - 58 + 4/3*l - 1/6*l**2. Factor w(o).
-(o - 2)*(o + 4)/6
Suppose 14/5*w**4 + 1/5*w**5 + 144/5*w + 168/5*w**2 + 73/5*w**3 + 0 = 0. Calculate w.
-4, -3, 0
Let c = -3195 + 1274. Let g = c - -1923. Find x, given that 4/11*x**3 - 2/11 - 4/11*x + 0*x**g + 2/11*x**4 = 0.
-1, 1
Find f, given that 102/5*f**3 + 14*f**2 + 8/5*f + 10*f**5 + 0 - 46*f**4 = 0.
-1/5, 0, 1, 4
Let m = -36889 + 332003/9. Let a = 19 - 55/3. Factor a - 4/9*n - m*n**2.
-2*(n - 1)*(n + 3)/9
Let m(b) be the second derivative of -b**5/50 + 31*b**4/10 + 20*b**3/3 - 564*b**2/5 + 36*b + 20. Find r such that m(r) = 0.
-3, 2, 94
Suppose -977202/5 + 2796/5*t - 2/5*t**2 = 0. What is t?
699
Let y(m) be the first derivative of 2*m**5/65 - 220*m**4/13 + 97676*m**3/39 - 96360*m**2/13 + 95922*m/13 - 1057. Factor y(r).
2*(r - 219)**2*(r - 1)**2/13
Let t(v) be the third derivative of 48*v**2 + 0*v**4 - 1 + 0*v + 0*v**3 - 4/45*v**5 + 5/18*v**6 + 5/21*v**7. What is w in t(w) = 0?
-4/5, 0, 2/15
Let y = 234094/3 - 78031. Suppose y*g**3 + 5/3*g - 2/3 - 4/3*g**2 = 0. What is g?
1, 2
Let t(s) = s**2 - 2*s + 1. Let z(g) = -7*g**2 + 28*g + 39. Let n(u) = u**3 + 15*u**2 - 18*u - 37. Let o be n(-16). Let q(x) = o*t(x) - z(x). Factor q(b).
2*(b - 11)*(b + 2)
Let h(b) be the third derivative of -b**5/60 - 83*b**4/120 + 17*b**3/15 + 2867*b**2. Find w such that h(w) = 0.
-17, 2/5
Let l = -309030 - -309034. Find a, given that 8/5*a + 0 - 24/5*a**2 + 2/5*a**5 + 26/5*a**3 - 12/5*a**l = 0.
0, 1, 2
Let -306*d - 4*d**4 - 310*d - 3*d**5 + 60*d**2 + 968*d - 316*d - 2*d**4 + 21*d**3 = 0. What is d?
-2, -1, 0, 3
Suppose 0 = 4*t + 4*k - 32, -51 = 3*t - k - 63. Let 10*o**5 - 22*o**2 - 4*o**5 + 32 - 32*o + o**t + 8*o**4 - 6*o**5 + 0*o**4 + 13*o**3 = 0. Calculate o.
-4, -2, 1
Let z = -4134 + 11546. Determine d, given that 0 - d**5 + 3*d**3 + 0 - 2*d + d**2 - z*d**4 + 7411*d**4 = 0.
-2, -1, 0, 1
Let z(n) = 12*n - 98. Let i be z(8). Let p(w) = -w**3 - 9*w**2 + 18*w - 12. Let q(o) = -6*o**3 - 46*o**2 + 91*o - 60. Let c(k) = i*q(k) + 11*p(k). Factor c(h).
(h - 3)*(h - 2)**2
Suppose 5*k - 56 = 3*y, 88*k - 82*k - 104 = -y. Factor -2/7*f**4 + k*f + 20/7*f**3 - 72/7*f**2 - 64/7.
-2*(f - 4)*(f - 2)**3/7
Suppose 1196*k = 1063*k + 266. Factor 3/5*v**k + 27/5 - 18/5*v.
3*(v - 3)**2/5
Let n(m) be the second derivative of 3*m**5/100 + 17*m**4/4 + 924*m**3/5 + 2646*m**2/5 + m - 386. Factor n(y).
3*(y + 1)*(y + 42)**2/5
Let v be ((-5)/(-5))/((-1)/(-2)) + 1. Let o(a) = 8*a + 12. Let f(x) = x**2 + 8*x + 13. Let u(b) = v*o(b) - 2*f(b). Find q, given that u(q) = 0.
-1, 5
Suppose -12*z + 1034 = 377*z - 522. Let m(t) be the third derivative of 8/3*t**3 + 0*t + 0 + 2/15*t**5 - 7/6*t**z + 1/30*t**6 + 11*t**2. Factor m(v).
4*(v - 1)**2*(v + 4)
Solve 0*o - 2*o**2 - 8/5*o**3 + 0 + 2/5*o**4 = 0 for o.
-1, 0, 5
Let s = 103 + -98. Let j(l) = -9*l**3 - 12*l**2 - 60*l - 36. Let w(x) = 2*x**3 + 3*x**2 + 15*x + 9. Let v(y) = s*j(y) + 21*w(y). Solve v(u) = 0 for u.
-1, 3
Suppose 266*s = 254*s + 48. Let d be 3 + 4*(-2)/(-4). Factor -6*m**2 + m + m**3 - 3*m**3 - m**s + 10*m**d + 4*m**4 - 9*m**5 + 3.
(m - 1)**2*(m + 1)**2*(m + 3)
Suppose -1434 = 72*a + 28*a - 1734. Let 0*z + 1/2*z**2 + 1/2*z**5 + 3/2*z**a + 3/2*z**4 + 0 = 0. Calculate z.
-1, 0
Suppose -6 = -157*g + 465. Suppose -5 = -2*z + 1. Find w, given that 6*w**4 - 8*w**g - 3*w + 4*w**z + 6*w - 6*w**2 + w = 0.
-1, 0, 2/3, 1
Let f(g) be the third derivative of g**6/300 + 278*g**5/75 - 223*g**4/12 + 186*g**3/5 - 4659*g**2. Factor f(n).
2*(n - 1)**2*(n + 558)/5
Suppose -5*v = -22*v. Suppose 15*s + v = -0. Factor s - 7/5*u + 1/5*u**2.
u*(u - 7)/5
Let k be 5156/6*(-30)/80. Let m = k - -324. Solve m*y**2 - 3/4*y**3 - 7/4*y**4 + 5/4*y**5 + 0 - 1/2*y = 0.
-1, 0, 2/5, 1
Let h = -177 - -202. Determine b, given that -31*b**3 - 1676*b**2 - 15*b**4 - 15 - 19*b**3 + 25*b**5 + h*b + 1706*b**2 = 0.
-1, 3/5, 1
Let m(d) = d**4 + 3*d**3 - d**2 - 7*d + 2. Let s(t) = 206*t**3 + 1 - 102*t**3 - 105*t**3 - t. Let v(j) = 2*m(j) - 4*s(j). Suppose v(k) = 0. What is k?
-5, -1, 0, 1
Factor -27*o**3 + 594*o + 726 + 3/2*o**4 + 111/2*o**2.
3*(o - 11)**2*(o + 2)**2/2
Factor 204 + 6*f**3 - 2*f**3 - 641 - 72*f**2 - 235 - 404*f - 8*f**3.
-4*(f + 3)*(f + 7)*(f + 8)
Let t(y) = y**3 - 2*y**2 - 2*y + 2. Let o(g) = -10*g**3 + 18912*g**2 - 29767488*g + 15627937488. Let p(x) = -o(x) - 6*t(x). Factor p(m).
4*(m - 1575)**3
Let v(f) = -f**3 - 23*f**2 + 26*f + 57. Let d be v(-24). Find p, given that 126*p + 3*p - 15*p**3 - 24 + 60 - d*p + 69*p**2 = 0.
-1, -2/5, 6
Let n(b) be the first derivative of -3*b**6 - 884*b**5/25 - 228*b**4/5 + 6752*b**3/15 - 528*b**2/5 - 576*b/5 - 3573. Determine r, given that n(r) = 0.
-6, -2/9, 2/5, 2
Let o(n) be the third derivative of 61/60*n**5 - 11/12*n**4 - 2*n**3 + 0*n + 2*n**2 - 36 - 61/240*n**6 + 1/60*n**7. Let o(h) = 0. Calculate h.
-2/7, 1, 2, 6
Let h = -8085670/17 - -475630. What is w in -2/17*w**2 + 42/17 + h*w = 0?
-1, 21
Let y(p) = 4*p**2 - 265*p - 1974. Let d(q) = -q**2 + 66*q + 496. Let r(s) = -15*d(s) - 4*y(s). What is c in r(c) = 0?
-6, 76
Let u be -11 + 3/1 - ((61 + -17)/(-2) - -12). Determine y, given that -y + 7/3*y**u - 10/3 = 0.
-1, 10/7
Factor -84/5*d**4 + 0 - 2/5*d**3 + 0*d + 0*d**2.
-2*d**3*(42*d + 1)/5
Let r = 46 - 25. Suppose -5*u = -y - r, 0 = -2*u - 34*y + 30*y + 26. Determine p, given that -2/7*p**3 + 0 - 6/7*p + 26/7*p**4 - 26/7*p**2 + 8/7*p**u = 0.
-3, -1, -1/4, 0, 1
Let c(y) = 2*y**2 + 9*y - 3. Let p be 144/(-360) + 23/(-5). Let j be c(p). Factor 4/7*v - 2/7*v**3 + 0 + 2/7*v**j.
-2*v*(v - 2)*(v + 1)/7
Factor 7 - 7 - 3590*r**2 - 7*r + 3603*r**2.
r*(13*r - 7)
Determine h, given that 13/2 + 27*h**2 - 9/4*h**3 + 115/4*h = 0.
-2/3, -1/3, 13
Let r(n) = -2*n**2 - 100*n + 351. Let o(w) = -2*w**2 - 82*w + 350. Let p(x) = -6*o(x) + 4*r(x). Factor p(h).
4*(h - 6)*(h + 29)
Let x(q) = 170*q**2 + 1012*q - 44. Let g be x(-6). Let 2/13*b**g + 14/13*b**3 - 12/13 + 10/13*b**2 - 14/13*b = 0. What is b?
-6, -1, 1
Let g(p) be the second derivative of -2*p**3 + 7/6*p**4 + 0*p**5 - 1/15*p**6 - 5*p - 2 + 0*p**2. Factor g(d).
-2*d*(d - 2)*(d - 1)*(d + 3)
Let a(s) = 124*s**2 - 117*s - 29. Let i(m) = 10 - 26*m**2 - 2*m**2 - 15*m**2 + 39*m + 2*m**2. Let u(j) = 4*a(j) + 11*i(j). Let u(t) = 0. What is t?
-2/15, 1
Let a(f) be the first derivative of 1/6*f**4 + 16*f**2 + 70 - 8/3*f**3 - 128/3*f. Factor a(q).
2*(q - 4)**3/3
Let t(d) be the third derivative of d**5/180 - 17*d**4/12 + 1001*d**3/18 + 14*d**2 - 38*