= -a**3 - 6*a**2 + a + 8. Suppose -4*v - o - 24 = o, v = -4*o - 6. Let n be b(v). Let -60*w + 2*w**4 + n*w**2 - 4*w**3 + 60*w = 0. Calculate w.
0, 1
Suppose 415*q - 700 = 545. Find p, given that 1/2*p**3 - 5/2*p**2 - q*p + 0 = 0.
-1, 0, 6
Let o(p) = 40*p + 282. Let k be o(-7). Let m(d) be the third derivative of 0 + 0*d - 1/180*d**6 + 0*d**4 + 0*d**3 + 2*d**k + 1/90*d**5. Factor m(u).
-2*u**2*(u - 1)/3
Factor 2/3*m**4 - 30*m**2 + 0 + 0*m + 8/3*m**3.
2*m**2*(m - 5)*(m + 9)/3
Let a be (-30485)/84 + (-6)/(-9) + 0. Let p = -360 - a. Let -3/4 - 3/4*m**3 - p*m**2 - 9/4*m = 0. Calculate m.
-1
Factor -4/3 + 1/3*t**4 - t**2 - 8/3*t + 2/3*t**3.
(t - 2)*(t + 1)**2*(t + 2)/3
Let z(p) be the first derivative of -p**3/2 - 3*p**2/2 - 3*p/2 - 75. Factor z(q).
-3*(q + 1)**2/2
Let c be (-14)/455*5 + 2/13. Let s(j) be the third derivative of -5*j**2 + 0 + 7/390*j**5 + 2/39*j**3 + c*j - 3/52*j**4. Find h such that s(h) = 0.
2/7, 1
Let i(l) be the second derivative of 0 - 1/12*l**4 + 0*l**2 + 26*l - 1/3*l**3 + 1/20*l**5. Factor i(a).
a*(a - 2)*(a + 1)
What is z in -1297*z + 5*z**2 + 0*z**2 + 1127*z = 0?
0, 34
Let f(l) = 10*l - 178. Let h be f(18). Let x(v) be the first derivative of -3*v**h - 4*v - 2/3*v**3 + 2. Find s, given that x(s) = 0.
-2, -1
Let h(s) be the third derivative of 1/504*s**8 + 2/105*s**7 + 0*s**3 + 1/20*s**6 + 0*s + 13 + 2/45*s**5 + 0*s**4 - 2*s**2. Factor h(k).
2*k**2*(k + 1)**2*(k + 4)/3
Let w(m) be the first derivative of m**6/15 - 8*m**5/25 + 3*m**4/5 - 8*m**3/15 + m**2/5 - 86. Factor w(y).
2*y*(y - 1)**4/5
Suppose -3 - 12 = -3*r. Factor -5*o**3 + 2*o**5 - 6*o**2 + o**2 + r*o**4 + 3*o**5.
5*o**2*(o - 1)*(o + 1)**2
Let j(g) be the first derivative of 2*g**5/65 - 7*g**4/26 - 16*g**3/39 + 41. Factor j(v).
2*v**2*(v - 8)*(v + 1)/13
Suppose 0*c - 45 = -5*c. Suppose -3*l = -c*l - 0*l. Factor -4/9*x**4 + l + 0*x + 0*x**2 + 2/9*x**5 + 2/9*x**3.
2*x**3*(x - 1)**2/9
Let x(l) be the first derivative of l**4/10 + 2*l**3/3 - 6*l**2/5 + 174. Factor x(i).
2*i*(i - 1)*(i + 6)/5
Suppose -32/5*b**3 + 4*b**5 + 0*b - 16/5*b**2 + 28/5*b**4 + 0 = 0. What is b?
-2, -2/5, 0, 1
Suppose -4*t = t - 55. Suppose 3 + 0 = 5*b + 3*g, -b + t = -2*g. Factor 2/5*v**b + 2*v - 4/5 - 8/5*v**2.
2*(v - 2)*(v - 1)**2/5
Let r be (-48)/552 - (1 - (-719)/(-69)). Solve -4*y**2 - r*y + 8 = 0 for y.
-3, 2/3
Let j(c) be the first derivative of 2/5*c**4 - 7/15*c**3 - 11 + 1/5*c**2 + 0*c - 3/25*c**5. Suppose j(d) = 0. What is d?
0, 2/3, 1
Let m be ((-32)/(-2) + 3)*(-3 + 2). Let t = -37/2 - m. Determine j, given that -t*j**2 + 1/2*j + 1 = 0.
-1, 2
Solve 59/2*j + 0 - 1/6*j**2 = 0.
0, 177
Let z(r) be the first derivative of -8/3*r**3 + 20 - 3*r**4 - 8/5*r**5 - r**2 - 1/3*r**6 + 0*r. Factor z(j).
-2*j*(j + 1)**4
Let s(c) = -4*c**4 - 8*c**3 - 2*c**2. Let h(i) = i**4 + i**3 + i**2. Let m(x) = -2*h(x) + s(x). Suppose m(u) = 0. What is u?
-1, -2/3, 0
Let t(v) = -v**3 - 10*v**2 + 6*v + 2. Let h be t(-10). Let u = 524/9 + h. Find f such that -u - 2/9*f**2 + 4/9*f = 0.
1
Let y(m) be the second derivative of -29*m**4/78 + 25*m**3/39 + 4*m**2/13 - 6*m + 10. Factor y(w).
-2*(w - 1)*(29*w + 4)/13
Let t be (4/(-12) - (-346)/64) + -5. Let c(x) be the third derivative of 0*x + 0 + 1/80*x**5 + 4*x**2 - t*x**4 - 1/4*x**3. Find y, given that c(y) = 0.
-2/3, 3
Let z(i) be the second derivative of -i**6/36 + 5*i**5/4 - 45*i**4/2 + 405*i**3/2 - 3645*i**2/4 + 160*i. Factor z(k).
-5*(k - 9)**3*(k - 3)/6
Let z be 3/((-18)/12)*-1. Suppose 3 = v + q, -z*v + 4*q = -0*v - 6. What is r in 75/4*r**2 - 57/4*r**v + 3 + 21/4*r**4 - 3/4*r**5 - 12*r = 0?
1, 2
Let w(o) be the first derivative of -o**3/4 - 3*o**2/4 + 6*o + 77. Factor w(l).
-3*(l - 2)*(l + 4)/4
Let o(g) = 24*g - 10. Let x be o(1). Suppose x*w - 24 = 2*w. Factor 1/3*z**w + 0 - 2/3*z**3 + 0*z + 1/3*z**4.
z**2*(z - 1)**2/3
Let n = 246 - 113. Find s such that -3*s + s**2 - 5*s - 117 + n = 0.
4
Let b(u) be the first derivative of u**6/90 + 2*u**5/45 - u**4/6 + 11*u**2/2 - 13. Let j(m) be the second derivative of b(m). Find w, given that j(w) = 0.
-3, 0, 1
Let j = 61 - 61. Let v(o) be the second derivative of j + 4/3*o**3 - 5*o - 1/6*o**4 - 3*o**2. Factor v(l).
-2*(l - 3)*(l - 1)
Let f(w) be the third derivative of w**6/300 + w**5/150 - 14*w**4/15 + 48*w**3/5 + w**2 - 20*w. Factor f(i).
2*(i - 4)**2*(i + 9)/5
Let w(f) be the first derivative of -f**4/2 - f**3 + 4*f**2 - 3*f + 152. Determine i, given that w(i) = 0.
-3, 1/2, 1
Factor 20 + 40*n - 29*n**3 - 20*n**2 - 15*n**4 - 8 - 21*n**3 - 12.
-5*n*(n + 2)**2*(3*n - 2)
Let u(p) be the first derivative of 0*p - 1/3*p**3 + 1/6*p**6 - 3/4*p**4 + p**2 + 1/5*p**5 - 5. Let u(x) = 0. Calculate x.
-2, -1, 0, 1
Let d(x) be the second derivative of -5*x**7/21 - 133*x**6/15 - 1101*x**5/10 - 2563*x**4/6 + 1210*x**3/3 - 14*x. Find h, given that d(h) = 0.
-11, -5, 0, 2/5
Suppose 5*i = 3*h + 6, i - 7 = -3*h + 5. What is g in -g**h + g**3 - g**3 + 6*g + 4*g**3 + 9*g**2 = 0?
-2, -1, 0
Let p(t) be the second derivative of t**4/6 + 94*t**3/3 + 2209*t**2 - 55*t. Let p(r) = 0. What is r?
-47
Let b be 7/14 - (-92)/(-192). Let r(c) be the third derivative of -2*c**2 - 1/480*c**6 + 0*c + 0 + b*c**4 + 0*c**3 - 1/240*c**5. Factor r(j).
-j*(j - 1)*(j + 2)/4
Let j be 0/(((-1)/(-5))/(1/5)). Let v(x) be the first derivative of 0*x**2 + 3/16*x**4 + 10 + 3/20*x**5 - 1/2*x**3 + j*x. Find c such that v(c) = 0.
-2, 0, 1
Let r(b) = b**2 + 10*b + 10. Let f be r(-10). Suppose -3*k + f = 4*q, -3*q + 2 + 16 = -3*k. Let 4*m**2 - 2*m + q*m**3 + 2*m**2 - 7*m**3 - m = 0. Calculate m.
0, 1
Suppose -3*s + 2*v + 11 = 0, 14 = -5*v - 6. Let d = s - -2. Factor 3/2*b - 3 + d*b**2 - 3/2*b**3.
-3*(b - 2)*(b - 1)*(b + 1)/2
Let m(d) = -7*d**4 + 101*d**3 + 195*d**2 + 169*d + 60. Let q(u) = -u**4 + 20*u**3 + 39*u**2 + 34*u + 12. Let t(a) = -2*m(a) + 11*q(a). Factor t(r).
3*(r + 1)**2*(r + 2)**2
Let i(r) be the first derivative of -r**6/660 + r**5/330 + r**4/33 - 4*r**3/33 - 5*r**2/2 - 7. Let q(b) be the second derivative of i(b). Factor q(j).
-2*(j - 2)*(j - 1)*(j + 2)/11
Let q(o) = -o + 18. Let p be q(10). Let c be 126/88 - 10/p. Factor -2/11*b**2 + 4/11 + c*b.
-2*(b - 2)*(b + 1)/11
Let o(c) be the first derivative of c**6/75 - 3*c**5/25 + c**4/3 - 2*c**3/5 + 17*c**2/2 - 15. Let k(q) be the second derivative of o(q). Factor k(p).
4*(p - 3)*(p - 1)*(2*p - 1)/5
Factor 27/2*f**3 + 57/2*f - 9 - 63/2*f**2 - 3/2*f**4.
-3*(f - 6)*(f - 1)**3/2
Suppose 17*l**4 - 36*l + 24 + 6*l**2 - 40*l**4 + 9*l**3 + 20*l**4 = 0. Calculate l.
-2, 1, 2
Let i = 65 + -63. Factor -3*b**2 - 5*b**i - b**2 - 9*b - 6 - 6*b.
-3*(b + 1)*(3*b + 2)
Let w be 285/20 + 3/(-12). Let w*x**4 - 4*x**3 + x**4 - 3*x**5 + 24*x - 17*x**3 - 12 - 3*x**2 = 0. Calculate x.
-1, 1, 2
Let x(l) be the second derivative of l**5/190 - 29*l**4/38 - 59*l**3/19 - 89*l**2/19 + 4*l - 25. Factor x(k).
2*(k - 89)*(k + 1)**2/19
Suppose -6*p - 8 = -10*p. Let -2*q**2 + q - 6*q - p*q**2 + q - q**3 = 0. Calculate q.
-2, 0
Suppose 20/9*r + 2/9 - 8*r**3 - 6*r**2 = 0. What is r?
-1, -1/12, 1/3
Let y = 4 + -4. Suppose p = -y*p. Factor -5 - 6*d**2 - 2*d**3 + p - 6*d + 3.
-2*(d + 1)**3
Let d(y) be the third derivative of -y**6/270 - 7*y**5/90 + 4*y**4/9 + 13*y**3/6 + 26*y**2. Let w(i) be the first derivative of d(i). Let w(s) = 0. What is s?
-8, 1
Factor -12/5*g**3 - 27*g - 33/5 - 144/5*g**2.
-3*(g + 11)*(2*g + 1)**2/5
Let n(k) = 5*k**3 + 150*k**2 + 1496*k + 5004. Let y(f) = -70*f**3 - 2100*f**2 - 20945*f - 70055. Let s(w) = -55*n(w) - 4*y(w). Factor s(m).
5*(m + 10)**3
Let g(c) be the third derivative of 1/15*c**3 + 32*c + 0 - 1/60*c**4 - c**2 - 1/150*c**5 + 1/300*c**6. Suppose g(n) = 0. Calculate n.
-1, 1
Let l(g) = g**2 - 2. Let s be l(2). Let k = 430 - 2147/5. Factor 0 + k*f**3 - 3/5*f**s + 0*f.
3*f**2*(f - 1)/5
Solve -57/2*f**2 + 0 - 15/2*f**4 + 63/2*f**3 + 9/2*f = 0 for f.
0, 1/5, 1, 3
Find t, given that t**4 + 8*t - 12*t**3 - 8*t + 14*t**3 = 0.
-2, 0
Let z = -2243 + 13459/6. Let 0 - 5/6*d - z*d**2 = 0. What is d?
-5, 0
Let c(o) = -2*o**3 + 81*o**2 - 1176*o + 5482. Let g(d) = 4*d**3 - 161*d**2 + 2352*d - 10962. Let h(y) = 14*c(y) + 6*g(y). Let h(p) = 0. What is p?
14
Let l be (3 - -3)/(-1 + 2). Factor -l*s - 5*s**2 - 10*s**3 + 15*s**3 + 0*s**2 - 4*s.
5*s*(s - 2)*(s + 1)
Factor 1/10*x**4 - 1/5*x**2 - 4/5 + 3/10*x**3 - 6/5*x.
(x - 2)*(x + 1)*(