 0.
-6, -1, 1
Let n(b) be the second derivative of 2*b**7/21 - 114*b**6/5 - 519*b**5/5 - 521*b**4/3 - 116*b**3 + 1572*b. Factor n(y).
4*y*(y - 174)*(y + 1)**3
Find s such that -1/3*s**3 + 0 + 0*s - 1/9*s**2 = 0.
-1/3, 0
Let o = -72 + 74. Suppose 0 = -o*n - 3*b + 7, 0 = -n - 2*n + 2*b + 30. Factor -11*j - n - 4*j**2 + 31*j + 1 - 9.
-4*(j - 4)*(j - 1)
What is y in -150*y**2 + 960 + 2*y**3 - 213*y + 26*y - 275*y - 350*y = 0?
-6, 1, 80
Let a(w) be the second derivative of -4*w**5/5 - 7*w**4/3 - 4*w**3/3 + 2*w**2 - 25*w. Factor a(z).
-4*(z + 1)**2*(4*z - 1)
Let p(v) be the third derivative of -2*v**7/15 + 3*v**6/2 - 11*v**5/15 - 15*v**4/2 + 12*v**3 - 351*v**2. Suppose p(s) = 0. Calculate s.
-1, 3/7, 1, 6
Let q = 392 - 372. Let 24*p**3 + 88 + q - 40*p + 16*p**3 - 36*p**3 - 12*p**2 + 4*p = 0. What is p?
-3, 3
Factor a**4 - 45866*a**2 + 45482*a**2 - 80*a**3 - 5*a**4.
-4*a**2*(a + 8)*(a + 12)
Let x = 173 - 180. Let k be x + ((-54)/36)/(2/(-12)). Factor -1/4*b**3 - 45/4*b - 25/2 - 3*b**k.
-(b + 2)*(b + 5)**2/4
Let x(w) = 451*w + 3157. Let n be x(-7). Let y(g) be the third derivative of -19*g**2 + 1/15*g**5 - 1/60*g**6 - 1/12*g**4 + 0*g + n*g**3 + 0. Factor y(s).
-2*s*(s - 1)**2
Factor 3/5*l**3 + 0 - 156/5*l**2 + 0*l.
3*l**2*(l - 52)/5
Let g(c) be the first derivative of 3*c**5/5 - 105*c**4/4 - 73*c**3 - 111*c**2/2 - 829. Factor g(k).
3*k*(k - 37)*(k + 1)**2
Suppose -288*n + 33*n + 3*n**3 + 30 + 244 + 17*n**2 - 76 + 37*n**2 = 0. Calculate n.
-22, 1, 3
Let t(n) be the first derivative of 10*n**6/3 + 19*n**5 + 145*n**4/4 + 70*n**3/3 + 200. Suppose t(d) = 0. Calculate d.
-2, -7/4, -1, 0
Let f(m) be the second derivative of 72 + 5*m**3 + 33/2*m**2 - 1/4*m**4 - m. Determine d, given that f(d) = 0.
-1, 11
Let o be (-14)/(-8) + 221/68. Suppose -x + 5*l = 25 - 1, 15 = o*x + 2*l. Factor 1/2*s**2 + 1/2*s - x.
(s - 1)*(s + 2)/2
Let i = 650 + -650. Let y(l) = 4*l + 171. Let p be y(-42). Factor 0*q + 0*q**4 - 3/2*q**p + 1/2*q**5 + i + q**2.
q**2*(q - 1)**2*(q + 2)/2
Let d(u) = 147*u**2 + 29074*u - 11. Let r(x) = -27*x**2 - 5815*x + 2. Let b(y) = 2*d(y) + 11*r(y). Let b(g) = 0. Calculate g.
-1939, 0
Let m = -21 - -19. Let k be (-24)/(-6) + m*1. Find b, given that -45*b + 3*b**k + 8 + 57*b + b**2 = 0.
-2, -1
Let x(z) be the second derivative of -8*z**6/3 - 194*z**5 - 6375*z**4/4 - 4420*z**3/3 - 1075*z**2/2 + 7383*z. Let x(g) = 0. What is g?
-43, -5, -1/4
Factor 40/9 + 6776/9*i - 226/3*i**2.
-2*(i - 10)*(339*i + 2)/9
Let l(y) be the third derivative of -1/15*y**5 - 1/6*y**4 + 94*y + 4*y**3 + y**2 + 0. Factor l(c).
-4*(c - 2)*(c + 3)
Let t be 48/(-18)*144/(-1088). Determine n, given that -2/17*n**4 + t*n**3 - 6/17*n + 4/17 - 2/17*n**2 = 0.
-1, 1, 2
Let o(y) = -10*y**3 + 690*y**2 + 3010*y + 2275. Let n(c) = 9*c**3 - 699*c**2 - 3009*c - 2273. Let f(v) = -5*n(v) - 4*o(v). Find u, given that f(u) = 0.
-3, -1, 151
Find c such that 3/5*c**5 + 0 - 69*c - 1032/5*c**2 - 1026/5*c**3 - 336/5*c**4 = 0.
-1, 0, 115
Let z(i) be the third derivative of i**6/30 + 43*i**5/3 - i**4/6 - 430*i**3/3 - 385*i**2 + 2*i. Factor z(g).
4*(g - 1)*(g + 1)*(g + 215)
Let o = 12 - 10. Suppose 4*t + o*t = 18. Factor -2*p - 18*p**2 + 10*p**2 - p**3 - 5*p**t.
-2*p*(p + 1)*(3*p + 1)
What is m in 0*m + 0 + 200/7*m**2 - 28*m**3 - 4/7*m**4 = 0?
-50, 0, 1
Let t = -388 - -385. Let u be (-4)/t*(-2 + 12). Let 16/3*v**4 + u*v**3 - 4/3 + 35/3*v - 29*v**2 = 0. What is v?
-4, 1/4, 1
Let l = 13 - 13. Suppose 0 = c - 3*u - l*u - 15, -5 = 5*c + 5*u. Factor c*p**3 + 2*p**3 - 2*p - 3*p**3.
2*p*(p - 1)*(p + 1)
Suppose -4*r + 7 = -53. Suppose -o + 4*o - 25 = -2*j, -r = -o - 2*j. Factor 15*f**3 - 2*f - o*f - 5*f**5 + 10*f**2 + 7*f.
-5*f**2*(f - 2)*(f + 1)**2
Let c(m) = -3*m**2 + 1393*m + 1236. Let n(a) = -13*a**2 + 5650*a + 4943. Let x(z) = 18*c(z) - 4*n(z). Factor x(t).
-2*(t - 1238)*(t + 1)
Let w(i) = -3*i**2 - 6*i - 48. Let y(j) = -2*j**2 - 4*j - 30. Suppose -18*a = 1 - 145. Let g(l) = a*y(l) - 5*w(l). Factor g(k).
-k*(k + 2)
Let f(a) be the second derivative of 0 - 1/90*a**4 - 1/9*a**3 + 112*a - 4/15*a**2. Factor f(d).
-2*(d + 1)*(d + 4)/15
Let f(w) be the first derivative of w**5/55 - 5*w**4/22 - 19*w**3/33 + 38*w**2/11 + 12*w - 276. Factor f(j).
(j - 11)*(j - 3)*(j + 2)**2/11
Let q be 86/17 - 42/714. Let o(t) be the second derivative of 64/147*t**7 + 0 + 0*t**2 + 6/7*t**q - 22*t - 13/42*t**4 - 16/15*t**6 + 1/21*t**3. Factor o(m).
2*m*(m - 1)*(4*m - 1)**3/7
Factor 195*f**2 - 6156*f + 4*f**3 - 790*f**2 + 285*f**2 - 9288 - 698*f**2.
4*(f - 258)*(f + 3)**2
Let h be (0 - 3)/(-12)*(-77 - (35 + -142)). Factor 6 - 27/2*k**2 + h*k.
-3*(k - 1)*(9*k + 4)/2
Suppose 5 = n - 6*g + 9*g, 5*g = 3*n - 15. Determine q, given that 2*q**5 - q + 3*q - 157*q**4 + 3*q**2 + 12*q**3 + 165*q**4 + n*q**2 = 0.
-1, 0
Let v(f) = 10 - 2*f + 9 - 31. Let y be v(-7). Suppose -1 + 6*p + 5*p**y + 5*p - 19*p + 5 - p**3 = 0. What is p?
1, 2
Let 7*h - 85*h**2 + 6168 - 6168 - 4*h**3 + 58*h**2 = 0. Calculate h.
-7, 0, 1/4
Let x(s) be the third derivative of -1/30*s**5 - 7/60*s**4 + 0*s - 1/5*s**3 + 0 - 1/300*s**6 + 51*s**2. Suppose x(v) = 0. Calculate v.
-3, -1
What is n in -1/7*n**2 - 10 - 19/7*n = 0?
-14, -5
Let v(n) = 14*n**3 - 68*n**2 - 12*n + 12. Let y(h) = -h**3 - h**2 - h. Let f(w) = -2*w + 7. Let o be f(4). Let q(b) = o*v(b) - 2*y(b). Factor q(c).
-2*(c - 6)*(2*c + 1)*(3*c - 1)
Let r be 296/85 - 6/(-15). Let y be (1323/(-91) - -15)/((-9)/(-2808)*36). What is f in 72/17*f - 4*f**2 - 16/17 - r*f**3 + 90/17*f**y = 0?
-1, 2/5, 2/3
Suppose -4/9 + 1/3*z**2 - 2/9*z**3 - 1/9*z**4 + 4/9*z = 0. What is z?
-2, 1
Let f(j) be the first derivative of -j**6/4 + 153*j**5/10 + 39*j**4/2 + 1214. Determine u, given that f(u) = 0.
-1, 0, 52
Suppose 8*n - 58 = -v + 3*n, 0 = -12*v - 2*n + 58. Factor 5/2*f**v + 0 - 10*f**2 + 10*f.
5*f*(f - 2)**2/2
Let o(u) = 2*u**2 - 415*u - 444. Let l(k) = -3*k. Let y(i) = 18*l(i) + 2*o(i). Factor y(w).
4*(w - 222)*(w + 1)
Let m(s) be the second derivative of -s**5/150 + s**4/45 + 8*s**3/45 + 66*s + 5. Find x, given that m(x) = 0.
-2, 0, 4
Let j = 6151 - 6147. Find v, given that 4/3 + 4*v - 3*v**4 + 5/3*v**2 - j*v**3 = 0.
-1, -2/3, 1
Suppose 4 = -h + 4*c, -4*h + 5*c - 6*c = -1. Factor -2/3*u**2 + h + 2/3*u**3 - 4/3*u.
2*u*(u - 2)*(u + 1)/3
Find s such that 6354/19*s - 3180/19*s**2 + 2/19*s**3 - 3176/19 = 0.
1, 1588
Let q(p) = 14*p**3 + 329*p**2 - 2386*p + 4455. Let j(d) = 5*d**3 + 110*d**2 - 796*d + 1482. Let a(m) = -17*j(m) + 6*q(m). Suppose a(b) = 0. What is b?
4, 96
Factor -46063*w**2 - 61*w**3 + 67*w**3 + 15*w + 45972*w**2.
w*(w - 15)*(6*w - 1)
Let m(c) be the second derivative of 2*c**6/9 - 9*c**5/10 - c**4/2 + 40*c**3/9 + 4*c**2 - 2*c - 2804. Find p such that m(p) = 0.
-1, -3/10, 2
Let q(n) = -2*n + 6. Let c be q(2). Let k be (-1 + 5 + 4)/c. Factor 4 - 4*j**k - 6*j**3 - 4 + 16*j**2 - 8*j + 2*j**5.
2*j*(j - 2)*(j - 1)**2*(j + 2)
Solve 865*c**3 + 1086980 + 164*c**3 + 580*c**2 + 111*c**3 - 1087340 - 1373*c - 112*c**5 + 185*c - 60*c**4 = 0 for c.
-3, -5/4, -2/7, 1, 3
Let l(y) be the third derivative of y**8/112 - 3*y**7/35 + 3*y**6/20 + y**5 - 39*y**4/8 + 9*y**3 - 4594*y**2. Determine o so that l(o) = 0.
-2, 1, 3
Suppose 157/5*g - 43/5*g**4 - 39/5 - 238/5*g**2 + 1/5*g**5 + 162/5*g**3 = 0. What is g?
1, 39
Factor -2*i**2 - 13476105*i + 13476160*i + 2*i**2 + 700 - 2*i**2 + 3*i**2.
(i + 20)*(i + 35)
Suppose -9264*p + 16 = -9264*p + 4*w, -2 = p - w. Solve 0 - p*m**2 + 2/3*m**3 + 4/3*m = 0 for m.
0, 1, 2
Determine v so that 308*v + 2*v**3 - 6*v**2 - 368*v - 8*v**2 - 72 - 3*v**3 = 0.
-6, -2
Let z(a) be the first derivative of -57 - 24/7*a - 1/7*a**3 - 9/7*a**2. What is n in z(n) = 0?
-4, -2
Suppose -1279/5*v**2 - 109/5*v**3 - 2/5*v**4 + 5713/5*v - 2523/5 = 0. What is v?
-29, 1/2, 3
Factor 1 - 69/4*h**2 + 65/4*h.
-(h - 1)*(69*h + 4)/4
Let c(b) = -b**3 - 7*b**2 + 10*b + 16. Let s = 112 - 110. Let f(w) = -123*w + 4*w**s + 16 + 131*w - 12*w**2. Let o(q) = 4*c(q) - 3*f(q). Solve o(d) = 0 for d.
-2, -1, 2
Let v = -17772 + 17814. Let c(h) be the first derivative of 0*h**2 - 20*h**4 - v - h**5 + 0*h - 320/3*h**3. Factor c(k).
-5*k**2*(k + 8)**2
Let k = -233457 + 233457. Factor k + 26/7*j + 2/7*j**2.
2*j*(j + 13)/7
Suppose -7*d - 68 = -41*d. Suppose -6*m = m - d*m. Factor 3/5*l + m + 9/5*l**2 - 12/5*l**3.
-3*l*(l - 1)*(4*l + 1)/5
Let n = -36208 + 17