 w = 31416 - 219882/7. Factor -75/7 - 3/7*u**2 - w*u.
-3*(u + 5)**2/7
Let m be 6/28*4/3. Suppose -21*t + 27*t = 10*t - 131*t. Suppose 0 + m*v**2 + t*v + 2/7*v**4 + 4/7*v**3 = 0. What is v?
-1, 0
Find j, given that 3/5*j**2 + 21/5*j - 132/5 = 0.
-11, 4
Let a(k) = 10*k**3 + 68*k**2 - 13*k + 10. Let j be a(-7). Determine p, given that -2/13*p**j + 4/13*p**2 + 0 - 2/13*p = 0.
0, 1
Let u(o) = -o**3 - 3*o**2 + 11*o + 7. Let m be u(-5). Let r be 6 + (-3 - m) - (-2)/(-4). Factor 3*b**3 + 0 + 1/2*b**5 - 2*b**2 - 2*b**4 + r*b.
b*(b - 1)**4/2
Suppose 9*m = 117 - 90. Factor 8/15*p - 2/15*p**4 - 8/15 - 4/15*p**m + 2/5*p**2.
-2*(p - 1)**2*(p + 2)**2/15
Suppose -4*b = 2*m - 2*b - 12, 2*b = -4*m + 16. Factor 22*p + 18 + 5 + 5*p**m - 3 - 2*p.
5*(p + 2)**2
Let c(y) = 175*y**3 + 15*y**2 - 10*y + 10. Let b(d) = -d**3 + d**2 - 1. Let w(p) = 10*b(p) + c(p). Factor w(z).
5*z*(3*z + 1)*(11*z - 2)
Suppose 0 = -0*l - 2*l + 8. Suppose l + 6 = 5*m. Factor t**m + 0*t**4 - 3*t**4 - t**2.
-3*t**4
Let i(s) be the third derivative of -s**7/315 + s**6/90 + s**5/30 - s**4/9 - 4*s**3/9 + 6*s**2 + 8*s. Factor i(l).
-2*(l - 2)**2*(l + 1)**2/3
Let n = 4 - 1. Factor 3*q + q**2 - q**2 + 0*q - 3*q**n.
-3*q*(q - 1)*(q + 1)
Factor -139*c + 1974 - 35*c + 42*c + 3*c**2 - 522.
3*(c - 22)**2
Let w = -20943/896 + -7/128. Let f = 24 + w. Factor 10/7*r**3 + 0 - f*r**2 + 6/7*r**4 + 0*r.
2*r**2*(r + 2)*(3*r - 1)/7
Let b(h) be the first derivative of -1 - 1/5*h**3 - h**2 - 1/150*h**5 - 1/15*h**4 + 0*h. Let t(u) be the second derivative of b(u). Factor t(d).
-2*(d + 1)*(d + 3)/5
Let n(t) = -579*t - 3469. Let f be n(-6). Solve -20/3*q**3 + 1/3*q - 15*q**f + 0 - 22*q**4 + 2/3*q**2 = 0 for q.
-1, -1/3, 0, 1/5
Let s(d) = 176*d**2 - 1608*d - 550. Let w(h) = 54*h**2 - 536*h - 183. Let r(f) = -3*s(f) + 10*w(f). Factor r(m).
4*(m - 45)*(3*m + 1)
Let x(n) = -8*n**2 - 32*n - 15. Let f(k) = 2*k**2 + 8*k + 1. Let u(s) = 2*s**2 + 8*s. Let h(a) = -4*f(a) + 3*u(a). Let g(m) = -9*h(m) + 2*x(m). Factor g(j).
2*(j + 1)*(j + 3)
Suppose -4*r + 8 = 2*m, -158*r + 2 = 4*m - 157*r. Factor 15/8*z**4 + 0 + 3/4*z**2 + 21/8*z**3 + m*z.
3*z**2*(z + 1)*(5*z + 2)/8
Let g(i) be the third derivative of i**6/420 + i**5/105 - 13*i**4/84 + 10*i**3/21 - 5*i**2 + 6*i. Factor g(x).
2*(x - 2)*(x - 1)*(x + 5)/7
Let x = 0 - -24/5. Factor -4/5*l**3 + 4/5*l - x + 24/5*l**2.
-4*(l - 6)*(l - 1)*(l + 1)/5
Let h(o) be the third derivative of o**5/20 + 67*o**4/2 + 415*o**2. Determine v so that h(v) = 0.
-268, 0
Let v be (-1)/(-1)*-2 + 2. Let b(h) = 2*h**2 + 3*h + 2. Let i be b(v). Factor 18/7*k**i + 3/7 + 3/7*k**4 + 12/7*k + 12/7*k**3.
3*(k + 1)**4/7
Suppose -4*c + 17 = 3*d, -4*c - d + 2 + 25 = 0. What is a in c*a + 5/2*a**2 + 2 - 7/2*a**3 = 0?
-1, -2/7, 2
What is l in 4/3*l**3 - 40/3*l + 14*l**2 + 8/3 - 14/3*l**4 = 0?
-2, 2/7, 1
Suppose -5*o = 61 + 34. Let x = 19 + o. Factor x - 1/2*u**2 + 0*u**3 + 0*u + 1/2*u**4.
u**2*(u - 1)*(u + 1)/2
Suppose 2*i - 4*d = 290, 4*d = -3*i + 394 + 71. Factor 7*m**2 - i*m**3 + 155*m**3 + m**2 + 4*m.
4*m*(m + 1)**2
Let w(b) be the second derivative of b**7/2520 - b**5/120 + 3*b**4/2 - 6*b. Let t(y) be the third derivative of w(y). Solve t(k) = 0.
-1, 1
Let v(j) be the first derivative of -2*j**3/27 + 2*j**2/9 - 2*j/9 - 9. Factor v(k).
-2*(k - 1)**2/9
Determine k so that -8 + 21*k - 9/2*k**4 + 28*k**3 + 123/2*k**2 = 0.
-1, 2/9, 8
What is k in -42/11*k**3 - 6/11*k**4 + 24/11*k**2 + 0 + 168/11*k = 0?
-7, -2, 0, 2
Let g(r) be the second derivative of r**10/15120 + r**9/7560 + r**4/6 + 3*r. Let k(l) be the third derivative of g(l). What is q in k(q) = 0?
-1, 0
Let t(o) = 3*o**4 + 13*o**3 + 33*o**2 - 47*o. Let n(h) = 10*h**4 + 39*h**3 + 98*h**2 - 140*h. Let j(u) = -2*n(u) + 7*t(u). Factor j(x).
x*(x - 1)*(x + 7)**2
Let p(n) be the third derivative of -n**7/350 + 3*n**6/200 - 3*n**5/100 + n**4/40 + 9*n**2 + 5. Factor p(l).
-3*l*(l - 1)**3/5
Let w(p) = -p - 2. Let f be w(-6). Let y(c) be the first derivative of 2*c**3 - 2 + 3*c + 5*c - 5*c**2 - f*c. Find j such that y(j) = 0.
2/3, 1
Let w(v) be the second derivative of 1/90*v**5 + 0 + 0*v**3 + 0*v**2 - 1/45*v**6 + 3*v + 0*v**4. Factor w(z).
-2*z**3*(3*z - 1)/9
Let v(q) = -52*q - 47. Let i be v(-1). Let -5/3*h**4 - 5*h**3 + i*h - 5/3*h**2 + 10/3 = 0. Calculate h.
-2, -1, 1
Let k be (-38)/(-4) + 15/30. Factor 5*q**2 - k*q**2 - 2*q - 8*q.
-5*q*(q + 2)
Let j = 19 + -19. Suppose j = c - 1 - 1. Determine d so that -d**3 + c*d**4 - 3*d**4 + 3*d**4 - 2*d**2 + d**5 = 0.
-2, -1, 0, 1
Let v(p) be the first derivative of 2*p**6 - 8*p**5/5 - 4*p**4 + 8*p**3/3 + 2*p**2 + 82. Find h, given that v(h) = 0.
-1, -1/3, 0, 1
Let q(x) be the third derivative of 0 + 0*x**3 + 1/510*x**5 - 19*x**2 - 1/68*x**4 + 0*x. Factor q(p).
2*p*(p - 3)/17
Let t(c) be the third derivative of 3*c**7/350 + c**6/40 - c**5/4 - 9*c**4/8 - 9*c**3/5 + 30*c**2 + 5. Determine j, given that t(j) = 0.
-3, -1, -2/3, 3
Let p(o) be the third derivative of o**5/12 + 5*o**4/6 + 10*o**3/3 - 2*o**2 + 706. Solve p(i) = 0.
-2
Let s = -66 + 72. Suppose s*d = 16*d. Let 4/5*j - 2/5*j**4 + d*j**2 - 4/5*j**3 + 2/5 = 0. Calculate j.
-1, 1
Let b(c) = -2*c**3 - 2*c**2. Let k(v) = 4*v**3 + 118*v**2 + 230*v + 116. Let f(r) = -6*b(r) - 2*k(r). Solve f(j) = 0 for j.
-1, 58
Factor -5618/3 - 214/3*w**2 + 2/3*w**3 + 5830/3*w.
2*(w - 53)**2*(w - 1)/3
Let v(p) be the first derivative of -p**6/2 - 33*p**5/5 - 27*p**4 - 36*p**3 - 441. Solve v(c) = 0.
-6, -3, -2, 0
Let y(v) = v + 17. Let d be y(-15). Suppose i - 3*b - 11 = -5*b, -d*i = 2*b - 16. Factor -9*f**3 - i*f**2 + 0*f**2 - 7*f**4 + 3*f**2 + 0*f**3.
-f**2*(f + 1)*(7*f + 2)
Let c(n) be the first derivative of n**6/27 + 2*n**5/45 - 5*n**4/18 + 2*n**3/9 + 193. Suppose c(f) = 0. What is f?
-3, 0, 1
Let o = -12 - -87. Let v = -35 + o. Factor -v*q + 8 - 2*q**2 + 40*q.
-2*(q - 2)*(q + 2)
Let k(q) be the first derivative of 8*q + 5 - 10/3*q**3 + 2*q**2 + 2/5*q**5 + 1/6*q**6 - 5/4*q**4. Let k(n) = 0. Calculate n.
-2, -1, 1, 2
Let b be -1 + 12 + 6 - 7. Let q = -22 + 32. Factor q + 2*h**2 - b + 0*h**2.
2*h**2
Factor -132/7*s**2 + 3*s**3 + 225/7*s - 54/7.
3*(s - 3)**2*(7*s - 2)/7
What is f in 2*f**3 - 12/5*f**2 + 0*f + 0 - 2/5*f**4 = 0?
0, 2, 3
Let i = -75971/5 - -15195. Factor -i*s**3 - 6*s**2 + 0 + 16/5*s.
-2*s*(s + 8)*(2*s - 1)/5
Let a(y) = -102*y**3 + 483*y**2 + 804*y + 165. Let d(r) = 29*r**3 - 138*r**2 - 229*r - 47. Let p(l) = -5*a(l) - 18*d(l). Find n such that p(n) = 0.
-1, -1/4, 7
Find q such that 3*q**4 - 430*q**2 + 147 + 496*q**2 + 27*q**3 + 9*q**3 - 252*q = 0.
-7, 1
Let a(g) be the third derivative of 0 + 0*g + 7/120*g**4 - 2*g**2 - 1/15*g**3 - 1/60*g**5. Suppose a(z) = 0. What is z?
2/5, 1
Suppose -2*m - l + 529 = 0, -3*m + 7*m - 2*l = 1054. Suppose 260*v**2 - 5*v + v - m*v**2 = 0. What is v?
-1, 0
Suppose 2*g + g = 2*g. Let w(n) be the first derivative of -1/4*n**4 + 1 + 2/5*n**5 + 0*n**3 + 0*n**2 + g*n. Factor w(q).
q**3*(2*q - 1)
Suppose -2*o + 3 = n - 3*o, 5*o + 9 = 2*n. Let w(d) be the first derivative of 4/11*d - 1/11*d**n + 1/22*d**4 + 2 - 4/33*d**3. Find v such that w(v) = 0.
-1, 1, 2
Solve 2/17*r**2 - 16/17*r + 14/17 = 0.
1, 7
Let z be (30/14 - 2)/(1/(-283)). Let k = z - -41. Solve -2*l + 10/7*l**2 + k = 0.
2/5, 1
Let z be ((-2)/8)/(6/(-72)). Factor 7 - j**3 + 4*j**z - 30*j + 12*j**2 - 1 + 45*j.
3*(j + 1)**2*(j + 2)
Let o(m) = 14*m**3 - 50*m**2 + 96*m - 72. Let b(j) = -9*j**3 + 33*j**2 - 64*j + 48. Suppose -14*h = -30 - 40. Let u(q) = h*o(q) + 8*b(q). Factor u(y).
-2*(y - 3)*(y - 2)**2
Let j = -12899 + 51597/4. Find k such that 5/4*k**4 - 1/4*k**2 + 2*k - j*k**5 - 7/4*k**3 - 1 = 0.
-1, 1, 2
Suppose -13*y = -7*y - 36. Suppose 1 = -5*z + k, -k + 1 = 3*z - y*z. Find q such that -3/2*q**3 + 3/2*q + 3/2*q**2 + z - 3/2*q**4 = 0.
-1, 0, 1
Let z(w) be the first derivative of -w**3/9 - 7*w**2 - 147*w - 67. Factor z(b).
-(b + 21)**2/3
Suppose 2*h - 7 - 3 = 0. Let d(m) = -m**2 - 10*m - 18. Let q be d(-7). Factor -84*v - 320*v**2 - 240*v**q - 336*v**3 + 15*v**h + 20*v - 432*v**4 - 123*v**5.
-4*v*(v + 2)*(3*v + 2)**3
Let n(r) be the third derivative of 0 - 1/15*r**5 - 4*r**2 - 5/6*r**4 - 8/3*r**3 + 0*r. Factor n(a).
-4*(a + 1)*(a + 4)
Let q be (1224/1428)/((-5)/14 - -1). Factor -q*i**2 + 0 - 4*i.
-4*i*(i + 3)/3
Let g(v) be the second derivative of 25*v**4/42 - 10*v**3/7 + 9*v**2/7 + 589*v. 