-28*a**3 + 176*a**2 - 253*a + 96. Let f(u) = 5*b(u) - 8*d(u). Factor f(o).
2*(o - 3)*(o - 2)*(7*o - 4)
Let r(l) = -65*l**3 + 3316*l**2 - 52*l + 54. Let i be r(51). Suppose 0*s**2 - 6/11*s - 4/11 + 2/11*s**i = 0. Calculate s.
-1, 2
Suppose -482 = -o + 56. Solve -2*t**3 + o*t - 1072*t + 174*t - 990*t + 6750 + 90*t**2 = 0 for t.
15
Let y be (-4)/(-8)*80/10. Let g(x) be the second derivative of 1/9*x**3 + 0 - 1/5*x**5 - 1/12*x**y - 7/90*x**6 + 0*x**2 + 2*x. Suppose g(a) = 0. Calculate a.
-1, 0, 2/7
Let u be 3/(-2) - (8/2 - 474/84). Let 0 - 1/7*j + 1/7*j**4 - u*j**2 + 1/7*j**3 = 0. Calculate j.
-1, 0, 1
Let d(k) = k**2 - 11. Let r be d(-4). Determine x, given that -2/7*x**3 + 0 - 2/7*x**r + 4/7*x**4 + 0*x**2 + 0*x = 0.
0, 1
Let u(h) be the second derivative of -h**6/6 + h**5/4 + 35*h**4/6 - 20*h**3 + 3*h - 28. Factor u(y).
-5*y*(y - 3)*(y - 2)*(y + 4)
Let f(x) be the first derivative of 2/27*x**3 - 4 + 8/9*x - 4/9*x**2. Solve f(y) = 0.
2
Let q(x) = 157*x - 468. Let i be q(3). Factor 3*r**2 - 3/2*r + 3/2*r**3 - i.
3*(r - 1)*(r + 1)*(r + 2)/2
Let s(f) be the third derivative of f**6/2160 + f**5/240 - 7*f**3/3 - 17*f**2. Let m(y) be the first derivative of s(y). Factor m(h).
h*(h + 3)/6
Suppose -h**4 + 4*h**2 + 225 - 345/2*h - 1/2*h**5 + 17*h**3 = 0. What is h?
-5, 2, 3
Solve 2/3*v**3 - 2/3*v**5 + 8/3 + 2*v**4 - 14/3*v**2 + 0*v = 0 for v.
-1, 1, 2
Let r(a) be the first derivative of 5*a**4/4 - 10*a**3/3 - 5*a**2/2 + 10*a + 81. Solve r(h) = 0 for h.
-1, 1, 2
Factor 0 - 4/5*q**2 - 2/5*q - 2/5*q**3.
-2*q*(q + 1)**2/5
Suppose -9 = -4*l + 39*k - 40*k, k + 12 = 3*l. Factor -3/5*q + 1/5*q**l + 2/5 + 0*q**2.
(q - 1)**2*(q + 2)/5
Let v(a) be the third derivative of -2/5*a**5 - 64/15*a**3 + 0*a + 0 + 28/15*a**4 + 13/300*a**6 + 10*a**2 - 1/525*a**7. Solve v(f) = 0.
1, 4
Let q(k) be the second derivative of 2*k**5/35 - 11*k**4/14 + 12*k**3/7 - k**2 + 14*k - 2. Factor q(o).
2*(o - 7)*(o - 1)*(4*o - 1)/7
Let i(z) = -8*z - 13. Let u be i(-2). Let y = 3 + 3. Factor 7*m - 1 - y*m - 5 + 3*m**u - 10*m.
3*(m - 2)*(m + 1)**2
Let f(p) be the first derivative of 2*p**5 + 0*p + 5/2*p**2 - 10/3*p**3 - 2 + 0*p**4 - 5/6*p**6. Solve f(g) = 0.
-1, 0, 1
Suppose 0 = 14*w + 23*w - 13*w. Factor 3/8*f**3 + 1/8*f**4 + 3/8*f**2 + w + 1/8*f.
f*(f + 1)**3/8
Let f = -8 - -13. Factor v**f - 28 - 27 + 55.
v**5
Determine s so that -334*s - 206*s - 10*s**3 + 2625*s**2 + 225 - 2440*s**2 = 0.
1/2, 3, 15
Let j be (-12)/(-120)*2/4. Let h(w) be the third derivative of 0*w**4 + j*w**5 - 2*w**3 + 0*w + w**2 + 0. Factor h(v).
3*(v - 2)*(v + 2)
Suppose -3*q - 93 = -3*x, 3*x - 26 = q + 7. Let m be ((-3)/2)/(-3) + (-5)/q. Factor -8/3*c + m*c**2 + 8/3.
2*(c - 2)**2/3
Let w(q) = -22*q - 15. Let m be w(-1). Let n(t) be the first derivative of -2/3*t**2 + 0*t - m - 2/9*t**3. Solve n(p) = 0.
-2, 0
Let u(a) = -5*a**2 + 130*a - 440. Let g be u(4). Factor -3/5*c - 3/5*c**3 + g + 6/5*c**2.
-3*c*(c - 1)**2/5
Let u = -52/9 + 391/63. Factor -12/7*x + u*x**2 + 12/7.
3*(x - 2)**2/7
Let w(o) = o**4 + 12*o**3 - 5*o**2 - 20*o + 12. Let k(t) = -t**4 - t**2 + 2*t. Let d(r) = -4*k(r) - w(r). Factor d(c).
3*(c - 2)**2*(c - 1)*(c + 1)
Let s be 1 + 1 - (-6)/(-4). Let m = 198 - 194. Find v, given that 0*v**m - 1/2 + s*v**2 - 1/4*v**5 + v**3 - 3/4*v = 0.
-1, 1, 2
Let p = 21 - 17. What is n in -4*n**2 + 81*n + 79*n - 152*n - p*n**3 = 0?
-2, 0, 1
Suppose 239*w - 780*w + 265*w + 274 + 2*w**2 = 0. What is w?
1, 137
Let f be -4*(-12)/32*2. Let -9*s**f - 4*s**4 - 4*s**3 + 4*s + 4*s**2 + 9*s**3 = 0. Calculate s.
-1, 0, 1
Let s(u) = u**2 + 18*u - 142. Let v be s(-24). Determine f, given that -4/5*f**5 - 8/5*f**v - 4/5*f + 4/5*f**4 + 8/5*f**3 + 4/5 = 0.
-1, 1
Let q(b) be the second derivative of 0 - 1/16*b**5 + 7/48*b**4 + 0*b**2 + 1/120*b**6 + 12*b - 1/8*b**3. Determine j so that q(j) = 0.
0, 1, 3
Let w(t) be the third derivative of -1/105*t**7 + t**2 + 1/10*t**5 - 1/6*t**4 + 0 + 0*t**3 + 0*t + 0*t**6. Factor w(z).
-2*z*(z - 1)**2*(z + 2)
Solve -8/7*v + 12/7*v**3 + 2*v**2 - 10/7 = 0.
-1, 5/6
Suppose -4*a + 7 = -5. Suppose -a = c - 5. Factor 20*h**c + 20*h**2 + 2*h - 30*h**2 + 4*h**3 - 4.
2*(h + 1)*(h + 2)*(2*h - 1)
Let y(b) be the third derivative of -b**7/630 - b**6/60 - b**5/60 + 13*b**4/36 + 4*b**3/3 - 427*b**2. What is g in y(g) = 0?
-4, -3, -1, 2
Find s, given that 46*s**2 + 74/3*s**3 + 86/3*s + 14/3 + 8/3*s**4 = 0.
-7, -1, -1/4
Suppose 0 = 11*n + 37 - 70. Factor -8/3*w + 4/3 + 5/3*w**2 - 1/3*w**n.
-(w - 2)**2*(w - 1)/3
Factor -3*d**3 + 1846*d**2 + 38*d + d**3 - 1882*d**2.
-2*d*(d - 1)*(d + 19)
Let v(o) be the third derivative of o**6/396 + 3*o**5/110 - 2*o**4/33 - 29*o**3/6 + 4*o**2 - 6. Let u(m) be the first derivative of v(m). What is x in u(x) = 0?
-4, 2/5
Let 16*s + 16 + 11*s**2 + 7*s**2 - 19*s**2 + 5*s**2 = 0. Calculate s.
-2
Suppose -5*u + n = 5, 0 = -u + 2*n + 6 - 16. Let d(z) be the first derivative of -3*z - 3/5*z**5 - 6 + 2*z**3 + u*z**2 + 0*z**4. Factor d(p).
-3*(p - 1)**2*(p + 1)**2
Let b = 253 + -757/3. Suppose -3*a + 0*a + 4*k - 14 = 0, -3*k = a - 17. Factor 1/3*f**a + b*f - 1.
(f - 1)*(f + 3)/3
Let w(o) be the third derivative of o**8/224 + o**7/84 - 7*o**6/240 - 3*o**5/40 + o**4/12 + o**3/3 - 2*o**2 + 5*o. Determine x, given that w(x) = 0.
-2, -1, -2/3, 1
Let l(g) be the second derivative of g**4/10 - 26*g**3/15 + 16*g**2/5 - 37*g. Factor l(y).
2*(y - 8)*(3*y - 2)/5
Factor 5/2*b + 2 + 1/2*b**2.
(b + 1)*(b + 4)/2
Let g(z) be the second derivative of z**4/42 + 2*z**3/21 + z**2/7 + 2*z - 6. Factor g(y).
2*(y + 1)**2/7
Let j be (1944/84)/(-6)*(-1 - 8). Let v(h) be the first derivative of -2 - 405/14*h**2 - 1/42*h**6 - 90/7*h**3 - 45/14*h**4 - j*h - 3/7*h**5. Factor v(n).
-(n + 3)**5/7
Let p(f) be the third derivative of -f**8/784 + 11*f**6/140 - 6*f**5/35 - 45*f**4/56 - 139*f**2. Solve p(k) = 0 for k.
-5, -1, 0, 3
Let d(y) be the third derivative of 0 + 21*y**2 + 1/240*y**6 + 0*y**3 + 1/60*y**5 + 0*y + 1/48*y**4. Solve d(o) = 0.
-1, 0
Let r(l) = 6 - 7 + 16*l - l**3 + 20 + 16*l**2. Let h be r(17). Suppose m**2 - 5*m**h - 32*m - 64 + m**2 - m**2 = 0. Calculate m.
-4
Suppose 4*u - 4 = 2*u. Let c(n) be the third derivative of -1/60*n**5 + 1/6*n**4 - 2*n**u - 2/3*n**3 + 0 + 0*n. Solve c(f) = 0.
2
Let n(t) be the first derivative of -1/23*t**4 + 3 + 1/23*t**2 - 8/69*t**3 + 4/23*t + 1/69*t**6 + 4/115*t**5. Let n(z) = 0. What is z?
-2, -1, 1
Let g(o) be the first derivative of o**3/6 + 23*o**2/2 + 529*o/2 + 67. Factor g(t).
(t + 23)**2/2
What is p in 36/7*p**2 - 27/7*p - 12/7*p**4 - 3/7*p**5 + 0 + 6/7*p**3 = 0?
-3, 0, 1
Let m(c) be the third derivative of 2*c**7/105 + 3*c**6/10 + 4*c**5/3 + 2*c**4 - 20*c**2 - 2*c. Let m(k) = 0. What is k?
-6, -2, -1, 0
Let r(i) be the third derivative of -i**5/420 + i**4/168 + 2*i**3/7 + 14*i**2 + 1. Determine w so that r(w) = 0.
-3, 4
Let j(m) be the second derivative of -m**6/360 - m**5/30 - m**4/6 - 4*m**3/9 + 23*m**2 + 29*m. Let g(x) be the first derivative of j(x). Factor g(n).
-(n + 2)**3/3
Suppose 2*j - 30 = -6*w, -3 = -10*j + 9*j. Let n(i) be the first derivative of 0*i**3 - 5/8*i**w + 15/4*i**2 - 12 - 5*i. Factor n(f).
-5*(f - 1)**2*(f + 2)/2
Let i(p) be the second derivative of -3/10*p**5 + p**3 + 3/4*p**4 + 0*p**2 + 0 + 12*p - 3/10*p**6. Let i(t) = 0. What is t?
-1, -2/3, 0, 1
Factor 3*u**2 - 1/2*u**3 + 0*u - 16.
-(u - 4)**2*(u + 2)/2
Suppose 0*c + 5*c = -3*s - 425, 2*c = s - 181. Let l = -86 - c. Factor -1/4*j**l + 0*j + 1/4*j**3 + 0.
j**2*(j - 1)/4
Solve -19*u**2 + 12 - 8*u**5 + 12*u + 11*u**2 - 46*u + 54*u**3 + 8*u**4 = 0 for u.
-2, -1, 1/2, 3
Let o(s) be the first derivative of -1/105*s**5 + 2/21*s**3 - 8 + 0*s - 5*s**2 - 1/420*s**6 + 1/84*s**4. Let t(v) be the second derivative of o(v). Factor t(p).
-2*(p - 1)*(p + 1)*(p + 2)/7
Let b(d) = -3*d**2 + 78*d + 4. Let h be b(26). Let l be -6 + (-10554)/(-60) - (-4)/(-10). What is w in -3*w + 3/4*w**3 - l*w**2 + 6 + 1218*w**h + 588*w**5 = 0?
-2, -2/7, 1/4
Suppose -2*i = -3*b - 124, 0 = 4*b + 3*i + 90 + 47. Let m be 30/36 - b/12. Let 2/9*f**5 + 0 + 4/9*f**3 + 0*f**2 + 0*f + 2/3*f**m = 0. What is f?
-2, -1, 0
Let i(z) be the first derivative of z**8/168 - z**7/21 + 2*z**6/15 - 2*z**5/15 - 17*z**2/2 + 5. Let v(q) be the second derivative of i(q). Solve v(b) = 0.
0, 1, 2
Let q be (-16)/(-40) + 4/(-10). Factor 5*k + 2*k**2 + 0*k**3 + 