*3 + 9*v**2 + 15*v - 33. Let c(o) = o**4 + 2*o**3 + 5*o**2 + 8*o - 16. Let q(r) = 9*c(r) - 4*i(r). Factor q(h).
-3*(h - 1)**2*(h + 2)**2
Suppose 0 + 3/5*s**5 + 9/5*s**3 + 3*s**2 - 12/5*s - 3*s**4 = 0. What is s?
-1, 0, 1, 4
Suppose 1 = -2*t - h + 10, 4*h - 9 = t. Let -90 + 4*b**3 - 28*b + 5*b**4 + 65*b**2 - 39*b**t + 43*b = 0. What is b?
-1, 2, 3
Let c(a) = -a**3 - a**2 + a - 1. Let m(q) = -5*q**3 - 6*q**2 + 5*q - 5. Let o = 55 - 22. Suppose -w + o = -4*w. Let s(d) = w*c(d) + 2*m(d). Factor s(k).
(k - 1)**2*(k + 1)
Let h(p) be the second derivative of -p**7/42 - 2*p**6/5 - 11*p**5/10 + 7*p**4 - 49*p**3/6 - 270*p. Solve h(q) = 0.
-7, 0, 1
Determine w so that 1/4*w**4 - 5/4*w**2 + 0 + 1/2*w**3 - 3/2*w = 0.
-3, -1, 0, 2
What is v in 8/3*v**3 - 2 + 4/3*v**2 + 2/3*v**4 - 8/3*v = 0?
-3, -1, 1
Suppose 54 = -99*y + 117*y. Find m, given that 1/4*m**y + 1/2 - 1/2*m**2 - 1/4*m = 0.
-1, 1, 2
Let d = -47 - -48. Determine z so that -277*z + 277*z - d + z**2 = 0.
-1, 1
Suppose 8*g - 7*g = 2*g. Let j(n) be the first derivative of -4/3*n**3 + g*n**2 + 7/2*n**4 + 0*n + 3. Factor j(t).
2*t**2*(7*t - 2)
Let o = -49/6 + 391/42. Solve 2/7*p**2 + o + 8/7*p = 0.
-2
Let q(m) be the third derivative of -m**5/270 + m**4/36 - 2*m**3/27 - 5*m**2 - 4. Factor q(p).
-2*(p - 2)*(p - 1)/9
Suppose 38*o + 360 = -34*o + 162*o. Solve 40/7*p**3 + 128/7*p - 18/7*p**5 - 6*p**o + 160/7*p**2 + 32/7 = 0.
-2, -1, -2/3, 2
Suppose -3*i - 5*d - 7 = 8, -2*i = -5*d - 15. Let l(m) be the first derivative of 2/3*m**3 - 2/5*m**5 + i*m**4 + 0*m + 0*m**2 + 4. Factor l(t).
-2*t**2*(t - 1)*(t + 1)
Let u be (6/4)/((-14)/(-28)). Let a = 29 - 19. Factor -2*p**u + 6*p**2 - a*p - 3*p + 9*p.
-2*p*(p - 2)*(p - 1)
Let s(m) = -2*m**2 - 8*m + 13. Let z be s(-5). What is o in -25*o**z - 6*o**2 - 4*o**2 - 20*o**4 - 30*o**5 + 25*o**5 = 0?
-2, -1, 0
Let y be 596*6/15120 - 10/45. Let f(l) be the third derivative of -3/40*l**6 + 1/10*l**5 - l**2 + 0*l**4 + y*l**7 + 0*l + 0*l**3 + 0. Solve f(a) = 0 for a.
0, 1, 2
Let p(i) be the first derivative of i**4/36 + i**3/6 - 2*i**2/3 - 5*i - 10. Let k(z) be the first derivative of p(z). What is r in k(r) = 0?
-4, 1
Let d(b) be the third derivative of b**5/720 - 13*b**4/18 + 1352*b**3/9 - 449*b**2. Find g such that d(g) = 0.
104
Suppose 4*k = 5*k, n + k = -66. Let d be 22/n - 13/(-3). Factor -6*a**2 + 8/3*a**3 + d*a - 2/3.
2*(a - 1)**2*(4*a - 1)/3
Suppose 19/5*u**2 + 0 + 11/5*u**3 + 9/5*u + 1/5*u**4 = 0. What is u?
-9, -1, 0
Suppose 2*n - 6 = 4*p - 26, 3*p = -3*n - 3. Suppose 7*b**3 - 6*b**2 - 3*b - 9*b**3 - b**p = 0. What is b?
-1, 0
Let w(n) be the first derivative of n**7/4200 - n**6/300 + 11*n**5/600 - n**4/20 - 7*n**3 + 19. Let k(i) be the third derivative of w(i). What is h in k(h) = 0?
1, 2, 3
Let s(t) be the third derivative of -t**8/13440 + t**7/420 - t**6/32 + 5*t**5/24 + 31*t**4/24 + 29*t**2. Let g(x) be the second derivative of s(x). Factor g(h).
-(h - 5)**2*(h - 2)/2
Suppose -4*z = 12, 0*z - 9 = -4*b - z. Suppose 501*s - 506*s + 10 = 0. Factor -2*j**3 - 2*j**b + s*j**3 + 6*j**2 + 2*j + 17 - 21 - 2*j**4.
-2*(j - 1)**2*(j + 1)*(j + 2)
Factor -132*r - 132*r - 450 + 0*r**3 + 58*r**2 - 2*r**3 - 126*r.
-2*(r - 15)**2*(r + 1)
Let u = -4585 - -9173/2. Factor 11/2*f**2 - 3/2 - u*f**3 - 5/2*f.
-(f - 3)*(f - 1)*(3*f + 1)/2
Suppose 1/6*d**2 + 14641/6 + 121/3*d = 0. Calculate d.
-121
Let u be ((-2)/(-7))/((-7)/(-49)) + -4. Let r be 87/145 - u*(-11)/(-30). Find d such that 2/9*d + 2/9*d**5 - 8/9*d**4 + 0 - 8/9*d**2 + r*d**3 = 0.
0, 1
Let j be (-48)/216 - (-1258)/(-252). Let i = j + 11/2. Solve 2/7*a**3 + 2/7*a**2 - i*a - 2/7 = 0.
-1, 1
Let h(m) be the first derivative of -m**6/6 + 7*m**5/12 - 5*m**4/12 - 5*m**3/6 + 8*m**2 - 7. Let a(k) be the second derivative of h(k). What is y in a(y) = 0?
-1/4, 1
Factor -56*r - 460 - 38*r + 273*r - 5*r**2 - 44*r.
-5*(r - 23)*(r - 4)
Let f(i) be the first derivative of i**6/12 + i**5/4 + i**4/4 + i**3/12 - 50. Factor f(z).
z**2*(z + 1)**2*(2*z + 1)/4
Suppose -7 = -2*v - p, -5*v + 8 = 4*p - 17. Let c be (-10)/(-90)*3/v. Factor 0*o + 1/3*o**3 + c*o**2 + 0.
o**2*(o + 1)/3
Let o(u) be the third derivative of -u**6/540 + 7*u**5/90 - 2*u**4/3 + 68*u**3/27 + 85*u**2. Let o(z) = 0. Calculate z.
2, 17
Let y(m) = m**3 - 3*m**2 + 3*m. Suppose 4*v - 8 = 2*v, d = -3*v + 14. Let g be y(d). Let -h + 1/2*h**4 + 0 + 5/2*h**g - 2*h**3 = 0. What is h?
0, 1, 2
Let g(v) be the second derivative of 0*v**3 - 25*v - 1/4*v**4 + 0 + 3/2*v**2. Factor g(d).
-3*(d - 1)*(d + 1)
Let d(m) be the third derivative of m**7/280 - m**5/40 - 25*m**3/6 + 25*m**2. Let n(j) be the first derivative of d(j). Let n(h) = 0. Calculate h.
-1, 0, 1
Factor -12/5*f**3 + 0*f**2 - 16/5*f**4 + 0*f + 0 - 4/5*f**5.
-4*f**3*(f + 1)*(f + 3)/5
Let i(u) = u**3 + 5*u**2 - 2*u + 2. Let t be i(-5). Let c be 16/t - (-2 - 0)/12. Solve c*s**2 + 3*s + 0 = 0 for s.
-2, 0
Factor 0 + 0*y + 1/3*y**2 - 1/6*y**3.
-y**2*(y - 2)/6
Let a(u) be the third derivative of u**5/15 - 2*u**3/3 + 2*u**2 - 16*u. Factor a(q).
4*(q - 1)*(q + 1)
Let s(f) = -f + 17. Let g be s(7). Suppose -4*q - 4 = 4*d, -5*q - 5 - g = 0. Factor 3*b**4 + 0*b**4 + d*b**3 + 6*b**2 - 2*b - 8*b**3 - b**4.
2*b*(b - 1)**3
Factor 2/11*k**2 - 14/11 - 12/11*k.
2*(k - 7)*(k + 1)/11
Suppose -5*b - 5 = -354*k + 349*k, 4*k - 2*b = 10. Factor 0 - 6/17*z**3 - 2/17*z + 2/17*z**k + 6/17*z**2.
2*z*(z - 1)**3/17
Let t(u) be the first derivative of -7 - u**2 - 1/30*u**6 - 1/30*u**5 + 0*u + 1/6*u**4 + 1/3*u**3. Let r(f) be the second derivative of t(f). Factor r(w).
-2*(w - 1)*(w + 1)*(2*w + 1)
Let f(w) = -70*w**5 - 50*w**4 + 20*w**3 + 32*w**2 + 16*w. Let k(o) = 14*o**5 + 10*o**4 - 4*o**3 - 6*o**2 - 3*o. Let y(q) = 3*f(q) + 16*k(q). Factor y(l).
2*l**3*(l + 1)*(7*l - 2)
Let y be 6/(-33)*(-121)/44*(-2)/(-4). Factor 1 + 2*a + 5/4*a**2 + y*a**3.
(a + 1)*(a + 2)**2/4
Find v such that -65*v + 39 + 55*v - 32*v + 3*v**2 = 0.
1, 13
Suppose 3/2*o**3 + 45*o**2 + 432*o + 1296 = 0. Calculate o.
-12, -6
Let o(a) = 6*a**4 - 19*a**3 + 188*a**2 - 331*a + 181. Let z(g) = 4*g**4 - 20*g**3 + 188*g**2 - 332*g + 180. Let b(f) = 4*o(f) - 5*z(f). Factor b(l).
4*(l - 2)**2*(l - 1)*(l + 11)
Let d(a) be the first derivative of -16 + 0*a**2 + 1/2*a**3 - 1/16*a**4 + 0*a. Factor d(z).
-z**2*(z - 6)/4
Let q(k) be the third derivative of -k**8/840 + 4*k**7/105 - 33*k**6/100 - 92*k**5/75 + 368*k**4/15 + 512*k**3/5 - 30*k**2 - 2. Let q(i) = 0. What is i?
-3, -1, 8
Let o(x) be the first derivative of -x**8/16 - x**7/210 + x**6/60 + 7*x**2 + 12. Let r(q) be the second derivative of o(q). Suppose r(a) = 0. What is a?
-1/3, 0, 2/7
Suppose 56 - 36 = 5*s. Let v(m) be the second derivative of 5/42*m**s + 2/35*m**5 + 1/21*m**3 - 6*m + 0 + 0*m**2. Factor v(a).
2*a*(a + 1)*(4*a + 1)/7
Let u(w) be the third derivative of 9*w**2 + 0 + 28/11*w**3 + 49/220*w**6 + 0*w + 63/22*w**5 - 48/11*w**4. Solve u(b) = 0 for b.
-7, 2/7
Let j(m) be the second derivative of m**6/120 - m**5/40 + m**4/48 + 9*m - 3. Factor j(c).
c**2*(c - 1)**2/4
Let x(n) be the first derivative of 0*n - 1/2240*n**7 + 1/960*n**6 + 0*n**2 + 0*n**4 + n**3 + 0*n**5 + 5. Let m(u) be the third derivative of x(u). Factor m(b).
-3*b**2*(b - 1)/8
Let m(c) be the second derivative of 0 - 1/66*c**4 + 0*c**2 + 23*c - 2/33*c**3. Factor m(d).
-2*d*(d + 2)/11
Let h(u) = -u**2 + u - 2. Let b be 2/(-9) - 418/(-18). Let v = -20 + b. Let l(k) = k**2 + 2. Let w(y) = v*h(y) + 2*l(y). Factor w(i).
-(i - 2)*(i - 1)
Let f(w) be the third derivative of 2*w**7/105 - w**6 - 21*w**5/5 - 16*w**4/3 - 383*w**2. Factor f(g).
4*g*(g - 32)*(g + 1)**2
Let v be 10/2 + (10 - 12). Suppose 2*a + 6 = 2*t, -2*t = a + 2*a - 1. Determine j, given that 0*j**3 - 2*j - 4*j**2 - 7*j**3 + 2*j**2 + t + 9*j**v = 0.
-1, 1
Let 46/7*b**3 + 24/7*b + 2/7*b**5 - 8*b**2 - 16/7*b**4 + 0 = 0. What is b?
0, 1, 2, 3
Let y(n) be the third derivative of n**5/20 + 5*n**4/6 - 7*n**3/6 + 29*n**2. Factor y(k).
(k + 7)*(3*k - 1)
Let r = 16 + -13. Suppose 3*i - 3 - 3 = -r*s, -2*i + 1 = s. Suppose 9*t**s + 3*t**5 - 9*t**4 - 10*t + 10*t - 3*t**2 = 0. What is t?
0, 1
Let i(v) be the first derivative of -v**5/12 + 5*v**4/2 - 30*v**3 + 17*v**2/2 + 18. Let b(y) be the second derivative of i(y). Find k, given that b(k) = 0.
6
Let b(d) be the third derivative of -d**7/735 - d**6/60 - 4*d**5/105 + 4*d**4/21 + 330*d*