*v**4 + 0*v - f*v**6 + 0. Factor o(q).
-2*q*(q - 1)**2
Let a = 5853 + -5851. Solve -3/4*i**4 - 5/2*i**3 - 1/2*i + 0 - 9/4*i**a = 0 for i.
-2, -1, -1/3, 0
Let f = 4/21 - 43/336. Let r(l) be the first derivative of 1/4*l**2 - 3 + 0*l - 1/4*l**3 + f*l**4. Suppose r(i) = 0. What is i?
0, 1, 2
Let o = -2162 - -2164. Solve 25/8*q**4 + 1/8*q**o + 0*q + 0 + 5/4*q**3 = 0 for q.
-1/5, 0
Let 51*q + 21*q + 264*q + 35 + 244*q**2 + 4*q**4 + 56*q**3 + 109 = 0. What is q?
-6, -1
Let k(o) be the third derivative of o**5/60 + 5*o**4/24 + 2*o**2 - 21. Factor k(h).
h*(h + 5)
Let t(r) be the first derivative of 4*r**6/27 + 2*r**5/15 - r**4/2 + 4*r**3/27 - 44. Let t(m) = 0. Calculate m.
-2, 0, 1/4, 1
Find d such that 4/3 + 10/3*d - 2*d**3 - 8/3*d**2 = 0.
-2, -1/3, 1
Let r = 7 - 4. Factor -5*u**3 - 12*u**2 + 3*u**r - 5*u - 5 - 11 - 19*u.
-2*(u + 2)**3
Let m(p) be the second derivative of p**5/20 + p**4 + 7*p**3/2 - 49*p**2 + 40*p - 2. Factor m(s).
(s - 2)*(s + 7)**2
Let y(s) = s**2 + 9*s + 8. Let a be y(-5). Let q be (-21)/(-12)*a/(-28). Factor -3/4*d + 3/2*d**2 + 0*d**3 + q*d**5 + 0 - 3/2*d**4.
3*d*(d - 1)**3*(d + 1)/4
Find s such that 0 + 1/2*s**2 - 3*s = 0.
0, 6
Determine k, given that 26/3*k**2 - 8/3*k**5 - 4/3 - 22/3*k**4 + 10/3*k - 2/3*k**3 = 0.
-2, -1, 1/4, 1
Let c(d) = 42*d**3 + 376*d**2 + 1026*d + 644. Let y(x) = -8*x**3 - 75*x**2 - 205*x - 129. Let s(k) = -3*c(k) - 16*y(k). Let s(l) = 0. Calculate l.
-33, -2, -1
Let a(m) be the first derivative of 0*m + 1/15*m**3 + 0*m**2 - 1/20*m**4 + 3. Factor a(t).
-t**2*(t - 1)/5
Let y(n) = n**3 - 7*n**2 - n - 13. Let h be y(6). Let l = h - -55. Factor l*c - 2/3*c**5 - 2*c**3 - 2*c**4 - 2/3*c**2 + 0.
-2*c**2*(c + 1)**3/3
Factor 2*c**2 + 36*c + 38*c**2 - 2*c**3 + 6*c**3.
4*c*(c + 1)*(c + 9)
Suppose 128/9*w - 20/9*w**3 - 128/9 + 8/3*w**2 - 4/9*w**4 = 0. What is w?
-4, 1, 2
Suppose 0 = 5*r - 24 + 14. Let u(y) be the first derivative of -1/15*y**3 + 2 - 2/5*y - 3/10*y**r. Let u(k) = 0. Calculate k.
-2, -1
Let m(f) = f**3 + 11*f**2 - 11*f + 12. Let p be m(-12). Factor 0 + 1/10*o**3 - 1/10*o**2 + p*o.
o**2*(o - 1)/10
Suppose 4*v = 3*n - 7, 10*v - 5*v + n = 15. Factor 8/5*h + 6/5 + 2/5*h**v.
2*(h + 1)*(h + 3)/5
Let l be ((-3)/1)/(-6 + 2 + 3). Let x be (1 - 1/(-1)) + l + -5. Find a, given that x + 1/7*a + 1/7*a**2 = 0.
-1, 0
Let h(d) be the first derivative of -d**6/39 + 4*d**5/13 - 6*d**4/13 - 80*d**3/39 + 64*d**2/13 + 131. Suppose h(p) = 0. What is p?
-2, 0, 2, 8
Let l(a) be the first derivative of -a**4/36 + a**3/9 + 116. Factor l(z).
-z**2*(z - 3)/9
Let r be 8229/(-3120) + 2/(-32) - (-12)/4. Let r*u**2 + 0 - 1/10*u**3 + 0*u = 0. What is u?
0, 3
Let o = -242 + 67. Let n be (-20)/8*10/o. Factor 0 + 1/7*r**3 + 2/7*r**2 + n*r.
r*(r + 1)**2/7
Let o(c) be the first derivative of 2*c**3/11 - 73*c**2/11 + 95. Factor o(g).
2*g*(3*g - 73)/11
Let s(v) be the second derivative of -v**5/20 + 145*v**4/12 - 5183*v**3/6 - 5329*v**2/2 - 143*v - 2. What is h in s(h) = 0?
-1, 73
Let y(u) be the first derivative of u**6/2700 - u**5/225 + u**4/45 + 7*u**3/3 - 6. Let m(x) be the third derivative of y(x). Let m(v) = 0. Calculate v.
2
Let u(f) be the first derivative of 0*f**2 + 0*f + 2/21*f**6 + 2/7*f**5 - 7 + 2/7*f**4 + 2/21*f**3. Factor u(y).
2*y**2*(y + 1)**2*(2*y + 1)/7
Factor -1/5*u**3 + 11/5*u**2 - 32/5*u + 28/5.
-(u - 7)*(u - 2)**2/5
Let x(q) be the first derivative of -4*q**5/5 + 6*q**4 + 36*q**3 + 8*q**2 - 144*q + 134. Solve x(s) = 0 for s.
-2, 1, 9
Suppose 0 = -4*p + 11*o - 14*o + 8, 2*o + 6 = 3*p. Let j(z) be the third derivative of -10*z**p + 0 - z**3 - 5/8*z**5 + 0*z - 5/4*z**4. Factor j(f).
-3*(5*f + 2)**2/2
Let g(m) be the first derivative of -5*m**3/18 - 25*m**2/6 - 15*m/2 + 85. Factor g(k).
-5*(k + 1)*(k + 9)/6
Let l(w) be the third derivative of -w**7/630 + w**6/60 - 13*w**5/180 + w**4/6 - 2*w**3/9 - 89*w**2. Suppose l(b) = 0. Calculate b.
1, 2
Factor -18*n**2 + 21*n**3 - 3*n**3 - 4*n - 3*n**4 - 15*n**2 + 22*n.
-3*n*(n - 3)*(n - 2)*(n - 1)
Suppose 4/3 + 18*w + 8*w**3 + 74/3*w**2 = 0. Calculate w.
-2, -1, -1/12
Let j(d) = -96*d - 5760. Let v be j(-60). Factor v + 12/7*c - 2/7*c**2.
-2*c*(c - 6)/7
Let x(o) be the third derivative of 0*o + 1/150*o**5 + 0*o**3 + 11*o**2 - 1 - 1/12*o**4. What is h in x(h) = 0?
0, 5
Let h(x) be the second derivative of 45/8*x**2 + 1/16*x**4 - 42*x - 2*x**3 + 0. Find y, given that h(y) = 0.
1, 15
Let d(s) be the second derivative of -s**5/100 + s**4/20 - s**3/15 - 38*s. What is l in d(l) = 0?
0, 1, 2
Let g(v) be the second derivative of 0 - 1/108*v**4 + 0*v**2 - 2/27*v**3 + 13*v. Determine s so that g(s) = 0.
-4, 0
Let y be (-3 - (-7)/5) + 2 + (-84)/360. Let 0 + 0*n**3 + 0*n + 0*n**2 + y*n**5 + 1/6*n**4 = 0. Calculate n.
-1, 0
Let r(f) be the second derivative of 40*f**6/3 - 52*f**5 + 229*f**4/3 - 52*f**3 + 18*f**2 - 57*f. Let r(h) = 0. What is h?
3/10, 1
Let t(m) be the second derivative of 0*m**2 + 0 - 1/10*m**3 - 21*m + 1/20*m**4. Let t(i) = 0. What is i?
0, 1
Factor 0 + 24*h**2 - 72*h - 3/2*h**3.
-3*h*(h - 12)*(h - 4)/2
Let s(l) be the third derivative of l**9/68040 - l**8/10080 - l**7/2835 - 7*l**4/24 + 26*l**2. Let c(w) be the second derivative of s(w). Factor c(n).
2*n**2*(n - 4)*(n + 1)/9
Suppose -12*x + 11*x = 2*n, -3*n - 3 = -0. Factor x*d - 2/3*d**3 + 4/3 + 0*d**2.
-2*(d - 2)*(d + 1)**2/3
Let s = -4331 + 4331. Factor 5/3*c**3 + s + 0*c - 5/3*c**2.
5*c**2*(c - 1)/3
Let d(i) be the third derivative of -i**6/20 + 57*i**5/40 - 73*i**4/8 + 33*i**3/4 - 525*i**2. Solve d(b) = 0 for b.
1/4, 3, 11
Let m be (-2)/(4/5) - (523 + -528). Factor 0*g**4 + 5/4*g**5 + 0 - m*g**3 + 5/4*g + 0*g**2.
5*g*(g - 1)**2*(g + 1)**2/4
Let q(t) be the second derivative of 7*t**5/15 - 31*t**4/72 - 5*t**3/3 + 9*t**2/4 - 171*t + 2. Find w such that q(w) = 0.
-1, 3/7, 9/8
Let u = 5 - 5. Factor 4 - 109*b**2 - 4*b + 105*b**2 + u*b**3 + 4*b**3.
4*(b - 1)**2*(b + 1)
Factor 39/7*u**3 + 12/7*u + 0 + 3/7*u**5 - 36/7*u**2 - 18/7*u**4.
3*u*(u - 2)**2*(u - 1)**2/7
Let 2*b**5 - 14*b**2 - 3*b**3 + 24 + 2*b**4 - b**5 - 11*b**3 + 14*b**3 - 9*b**3 + 20*b = 0. What is b?
-3, -2, -1, 2
Let r = -435 + 261. Let z = r + 174. Let -3/4*o**3 + z - 3*o + 3*o**2 = 0. Calculate o.
0, 2
Suppose 0 = -4*h + 9*h - 10. Suppose -3*w = -5 - 7. Factor 0*b**h + 0*b**3 - 3*b**2 + w + b**3 + 0*b**2.
(b - 2)**2*(b + 1)
Suppose a - 3 = -0*a. Find x such that 8*x**2 - 28*x + a*x**3 + x**3 + 20 - 4 = 0.
-4, 1
Let m(k) be the third derivative of k**6/300 - 8*k**5/75 + k**4/4 + 146*k**2 - 2. Find o, given that m(o) = 0.
0, 1, 15
Let n(l) be the first derivative of 0*l**2 + 0*l**3 + 1/3*l**6 + 1 - 13/10*l**5 + 0*l + 3/8*l**4. Factor n(k).
k**3*(k - 3)*(4*k - 1)/2
Let t(r) = 5*r - 27. Suppose -5*j = -2 - 28. Let p be t(j). Determine l, given that -3*l + 27/2*l**4 + 0 - 27/2*l**2 + 3*l**p = 0.
-1, -2/9, 0, 1
Let j = -8 - -12. Factor -7*f**2 - 11*f + 4*f**2 - j*f + 0*f**2 - 18.
-3*(f + 2)*(f + 3)
Let x(o) = o + 1. Let c(j) = -j**3 - j**2 - 1. Let b(s) = -3*s**3 + s**2 + s + 3. Let w(v) = -b(v) + 2*c(v). Let a(k) = w(k) + 4*x(k). Factor a(g).
(g - 1)**3
Factor 7*a + 2 + 5*a + 13 - 4*a - 8*a**2 + 9*a**2.
(a + 3)*(a + 5)
Let j(x) be the first derivative of x**5/420 - x**4/21 + 8*x**3/21 - 7*x**2 + 16. Let a(n) be the second derivative of j(n). Let a(m) = 0. What is m?
4
Suppose 0 = -a - 0*a - 3*q - 1, 4*q = -3*a - 13. Let p(w) = -w**2 - 8*w - 3. Let h be p(a). Solve o**h + 4/3*o**3 - 2/3*o - 1/3*o**2 + 0 = 0 for o.
-1, 0, 2/3
Let i(m) = 2*m**2 - 35*m + 47. Let j(z) = -z**2 + 17*z - 24. Let k(o) = -4*i(o) - 7*j(o). Factor k(b).
-(b - 20)*(b - 1)
Let q(z) be the third derivative of -z**7/1260 + z**6/144 - z**5/72 - 5*z**4/144 + z**3/6 + 2*z**2 + 64. Suppose q(j) = 0. What is j?
-1, 1, 2, 3
Let i(p) be the first derivative of p**6/18 + p**5/3 + 2*p**4/3 + 4*p**3/9 - 212. Suppose i(j) = 0. Calculate j.
-2, -1, 0
Let p be 1*(3 - 0/1). Let v(c) be the second derivative of 0*c**4 + 1/10*c**5 + c - 1/3*c**p + 0 + 0*c**2. What is y in v(y) = 0?
-1, 0, 1
Let y(z) = -2*z**4 + 22*z**3 - 38*z**2 - 18*z + 52. Let s(m) = m**4 - 21*m**3 + 39*m**2 + 19*m - 54. Let b(x) = 2*s(x) + 3*y(x). Solve b(n) = 0 for n.
-1, 2, 3
Let w = 19456/5 + -3875. Factor 0 + 3/5*m**4 + 81/5*m + w*m**2 + 27/5*m**3.
3*m*(m + 3)**3/5
Suppose 2*t - 84 = 5*t - 3*o, 4*t + 109 = 3*o. Let a(q) = 15 - 2*q**2 - 4*q*