/13*g + 25 - 1/26*g**4 - 8/13*g**2 + 10/39*g**3. Factor x(d).
-2*(d - 2)**2*(d - 1)/13
Let p(y) be the third derivative of 0*y**6 + 0*y + 1/84*y**4 + 0*y**3 + 0 - 17*y**2 - 1/1470*y**7 + 1/140*y**5. Factor p(g).
-g*(g - 2)*(g + 1)**2/7
Factor -128*t**2 - 3 - 61*t - 5*t**3 + 72*t**2 - 7.
-(t + 1)*(t + 10)*(5*t + 1)
Factor 15*c - 2*c**2 - 34*c + c**3 + 3*c**2 + 17*c.
c*(c - 1)*(c + 2)
Let s be (2/5)/((-10)/(-600)). Suppose -16 = 6*t - 4*t - 5*b, 2*t = -5*b + s. What is h in 4*h**4 + h**t + 4*h**2 + 2*h**3 - 2*h - 9*h**4 = 0?
-1, 0, 2/5, 1
Let i(n) be the third derivative of -2*n**2 + 0*n**5 + 1/900*n**6 + 1/6*n**3 + 0*n**4 + 0 + 0*n. Let m(y) be the first derivative of i(y). Factor m(k).
2*k**2/5
Let x be (-40)/(-340) + (-741)/(-204) + -3. Solve 7/4*c**5 + 0*c + x*c**3 - 1/2*c**2 + 0 + 3*c**4 = 0 for c.
-1, 0, 2/7
Let v(c) = -8*c**2 + 28*c - 6. Let q(n) = -15*n**2 + 57*n - 9. Let u(f) = 2*q(f) - 5*v(f). Factor u(y).
2*(y - 2)*(5*y - 3)
Factor -4*z + 0 + 2/3*z**2.
2*z*(z - 6)/3
Let j be (-30)/(-11) + (-51)/(-187). Let l(q) be the first derivative of -2/3*q**j + 8 - 3*q**2 - 4*q. What is h in l(h) = 0?
-2, -1
Let x(t) be the second derivative of -9*t + 9/28*t**4 + 6/7*t**2 + 0 + 10/7*t**3. Find i such that x(i) = 0.
-2, -2/9
Let x = -802/7 + 116. Factor 4/7*p**3 + 3/7 + 11/7*p**2 + x*p.
(p + 1)**2*(4*p + 3)/7
Factor -385*t**4 + 194*t**4 - 100*t**2 - 85*t**3 + 196*t**4 - 70*t + 250*t.
5*t*(t - 18)*(t - 1)*(t + 2)
Let b(y) be the first derivative of 13 + 0*y - 1/18*y**6 - 1/9*y**3 + 1/12*y**4 + 1/15*y**5 + 0*y**2. Factor b(o).
-o**2*(o - 1)**2*(o + 1)/3
Let a(l) = -l**3 - 23*l**2 - l - 25. Let x be a(-23). Let g = -2 - x. Factor -3/2*d**3 + g + 3/2*d**4 + 3/2*d - 3/2*d**2.
3*d*(d - 1)**2*(d + 1)/2
Suppose -5*n + 0*s = -s - 39, -4*s = 5*n - 19. Factor 17 - 7*p**3 - 6*p - 18*p**2 + n - 6*p - 3*p**4 + 22*p**3.
-3*(p - 2)**3*(p + 1)
Let j(p) be the second derivative of -p**8/26880 + p**7/2520 - 2*p**4/3 - 9*p. Let d(o) be the third derivative of j(o). Let d(b) = 0. What is b?
0, 4
Suppose 0 = 32*h - 33*h + 4. Let v(q) be the third derivative of 0*q**5 + 0*q**h - 3*q**2 - 1/420*q**7 + 0*q + 0 + 0*q**3 + 1/240*q**6. Solve v(u) = 0 for u.
0, 1
Let y = 132 + -132. Let i(o) be the third derivative of 0*o**4 + y*o**3 + 0 + 0*o + 1/120*o**6 + 5*o**2 - 1/60*o**5. Factor i(l).
l**2*(l - 1)
Let p(m) be the first derivative of m**7/252 - m**6/36 + 7*m**5/120 - m**4/24 + m + 16. Let f(x) be the first derivative of p(x). Suppose f(i) = 0. What is i?
0, 1, 3
Let s be (-216)/540 - (1 - 22/5). Let m(a) be the second derivative of -s*a + 0 + 4/5*a**5 + 1/30*a**6 + 128/3*a**3 + 8*a**4 + 128*a**2. Factor m(z).
(z + 4)**4
Let c(z) = z**2 + z + 1. Suppose 0 + 8 = -4*g. Let v(q) = 84*q**2 + 21*q + 4. Let o(s) = g*v(s) + 6*c(s). Factor o(u).
-2*(9*u + 1)**2
Factor -2/7*r**2 - 2/7*r + 12/7.
-2*(r - 2)*(r + 3)/7
Factor -13 - 305*c**2 - 5*c**3 - 310*c**2 + 25*c - 2 + 610*c**2.
-5*(c - 1)**2*(c + 3)
What is q in 15*q**3 - 25*q**2 + 72*q**2 + 78*q**2 + 30*q - 20*q**4 + 2 - 2 = 0?
-2, -1/4, 0, 3
Suppose -2*g = 3*t - 47, -5*g = -0*t - 3*t - 149. Suppose -14*i + 10*i + g = 0. Factor -3*j + 2*j**3 - i + 4*j**2 + 3 + j.
2*(j - 1)*(j + 1)*(j + 2)
Suppose -8*m + 14*m - 12 = 0. Let t = -1/10 - -1/2. Factor 0*q + 0 + 6/5*q**3 - t*q**5 + 4/5*q**m + 0*q**4.
-2*q**2*(q - 2)*(q + 1)**2/5
Let j = -440 + 442. Let w(x) be the first derivative of -1/14*x**4 - 12/7*x**j - 4/7*x**3 - 1 - 16/7*x. Let w(i) = 0. Calculate i.
-2
Let t(v) = -v**4 + 2*v**3. Let a(l) = -4*l**4 - 59*l**3. Let u(x) = -2*a(x) + 6*t(x). Solve u(s) = 0 for s.
-65, 0
Suppose -5*j = -t - 8 - 19, 2*j - 2*t = 6. Find h, given that -9 + 17*h**2 + 27*h - 29*h**3 + 21*h**5 + h**2 - 9*h**4 - 13*h**3 - j*h = 0.
-1, 3/7, 1
Let d(t) be the first derivative of -t**3/6 - t**2/2 - t/2 - 7. Factor d(u).
-(u + 1)**2/2
Let f(b) = b**2 + 17*b + 11. Let l be f(8). Factor -4*c**3 + 1 - 4*c + 219*c**2 - 1 - l*c**2.
-4*c*(c - 1)**2
Let p(b) = b**2 - 182*b - 1128. Let i be p(-6). Factor -1/3*r**2 + i - 2/9*r.
-r*(3*r + 2)/9
Let h be (28/196)/((-42)/(-49)). Suppose 0 + h*t**3 + 0*t - 1/2*t**2 = 0. Calculate t.
0, 3
Suppose 0 = 40*a - 35*a - 15. Determine t, given that 5*t**3 - 3*t - 4*t**2 + 3*t - t**a = 0.
0, 1
Find v such that 36/5*v - 16 + 2/5*v**2 = 0.
-20, 2
Let w(o) be the first derivative of 11 + 1/34*o**4 - 2/51*o**3 - 1/17*o**2 + 2/17*o. Factor w(f).
2*(f - 1)**2*(f + 1)/17
Suppose 3*s - 3*q = -q + 92, 2*s = 3*q + 68. Let n = -25 + s. Factor 3*b**4 + 146*b**5 + b**2 + 0*b**3 - n*b**3 - 147*b**5.
-b**2*(b - 1)**3
Let g(v) be the second derivative of 2/21*v**4 + 1/21*v**3 + 0 + 3/35*v**5 + 35*v + 4/105*v**6 + 1/147*v**7 + 0*v**2. Factor g(r).
2*r*(r + 1)**4/7
Find f such that 6*f**2 - 545*f**3 - 8 - 11*f**4 + 4*f**4 - 28*f + 564*f**3 = 0.
-1, -2/7, 2
Let v(w) = -w**4 + 65*w**3 - 49*w**2 + 25*w - 5. Let d(y) = -4*y**4 + 196*y**3 - 146*y**2 + 70*y - 14. Let q(b) = -5*d(b) + 14*v(b). Factor q(c).
2*c**2*(c - 11)*(3*c - 2)
Let p(n) be the third derivative of -4/1155*n**7 + 0*n**3 + 1/44*n**6 - 2/55*n**5 - 1/33*n**4 + 0*n - 5*n**2 + 0. Factor p(i).
-2*i*(i - 2)**2*(4*i + 1)/11
Let u(l) = -l - 4. Let z be u(-7). Let x = -6 + 8. Suppose 5*r + 1 - 8*r + 7*r**2 - z*r**3 - x*r = 0. What is r?
1/3, 1
Suppose -2*n + 40 - 18 = 0. Suppose n - 27*r - 53*r - 22 - 5 - 100*r**2 = 0. What is r?
-2/5
Suppose -20*j**5 - 65*j**2 + 25*j - 4 - 625*j**3 + 620*j**3 + 55*j**4 + 14 = 0. What is j?
-1, -1/4, 1, 2
Let m(s) be the third derivative of s**5/240 - s**4/12 - 3*s**3/8 + 4*s**2 + 28*s. Factor m(g).
(g - 9)*(g + 1)/4
Let l(h) = -34*h**2 - 1356*h + 163. Let u be l(-40). Suppose -8/7 + z**5 + 13/7*z**u - 20/7*z - 26/7*z**4 + 34/7*z**2 = 0. What is z?
-1, -2/7, 1, 2
Let g = 36 - 33. Let u be 95/(-180) + g/4. Factor -2/9*x + 2/9*x**4 + 0 - 2/9*x**2 + u*x**3.
2*x*(x - 1)*(x + 1)**2/9
Let d(y) be the first derivative of -3/7*y**2 - 8 + 0*y - 1/7*y**3. Factor d(j).
-3*j*(j + 2)/7
Let d be 26/10 - (-114)/285. Let c(u) be the first derivative of 1/4*u**2 + 0*u - 1/6*u**d + 1. Let c(l) = 0. What is l?
0, 1
Let v(i) = i**4 + i**3 + i**2 - 1. Let s = -15 + 9. Let j(r) = -8*r**4 + 4*r**3 - 12*r**2 - 10*r + 14. Let l(u) = s*v(u) - j(u). What is y in l(y) = 0?
-1, 1, 4
Let n(l) be the third derivative of -l**5/360 - 5*l**4/144 - l**3/9 - 4*l**2 + 5*l. Factor n(y).
-(y + 1)*(y + 4)/6
Factor 23/3*i - 1/3*i**4 + 25/3*i**2 - 23/3*i**3 - 8.
-(i - 1)**2*(i + 1)*(i + 24)/3
Let r(o) be the first derivative of o**6/40 - o**4/8 + 5*o**2/2 + 8. Let w(j) be the second derivative of r(j). Suppose w(k) = 0. What is k?
-1, 0, 1
Let r = -69 + 68. Let p(k) = -4*k**5 + 5*k**4 + 9*k**3 - k**2 - k - 1. Let n(j) = j**5 - j**3 - j**2 - j - 1. Let u(o) = r*p(o) + n(o). Factor u(y).
5*y**3*(y - 2)*(y + 1)
Let k(a) = -a**3 + 2*a**2 - a - 1. Let t(w) = -3*w**3 + 5*w**2 - 3*w - 3. Let q(p) = -5*k(p) + 2*t(p). Let u be q(-1). Solve -u - 1/2*x**2 - 3/2*x = 0 for x.
-2, -1
Let q(r) be the first derivative of r**6/24 + r**5/20 - 3*r**4/16 - r**3/12 + r**2/4 - 109. Find c such that q(c) = 0.
-2, -1, 0, 1
Suppose -15*u = -17 - 58. Let h(p) be the second derivative of 0 + 6*p + 2/5*p**u + 0*p**2 + 5/6*p**4 + 1/3*p**3. Find l, given that h(l) = 0.
-1, -1/4, 0
Determine q so that 34/13*q**4 - 10*q**2 + 8/13*q**5 - 128/13*q + 0*q**3 - 24/13 = 0.
-3, -2, -1, -1/4, 2
Let i(f) be the second derivative of -2/3*f**4 - 1/5*f**5 + 0*f**3 + 0*f**2 + 2/15*f**6 + 0 + 3*f. Suppose i(l) = 0. Calculate l.
-1, 0, 2
Let n(i) be the third derivative of -i**9/7560 + i**7/140 - i**6/90 - i**5/5 - i**4/24 - 22*i**2. Let z(t) be the second derivative of n(t). Factor z(a).
-2*(a - 2)**2*(a + 1)*(a + 3)
Let k(n) be the third derivative of n**6/240 - 7*n**5/60 + 25*n**4/48 - n**3 - 126*n**2 - 2*n. Factor k(y).
(y - 12)*(y - 1)**2/2
Suppose 16*s - 15*s - 10 = 0. Suppose 4*n = s - 30, 0 = 5*j + 2*n - 5. Suppose 6*g**5 + 5*g**4 - g**5 - 6*g**3 - j*g**4 + g**5 - 2*g**2 = 0. What is g?
-1, -1/3, 0, 1
Let -18484 - 4*f**3 - 60*f + 18484 - 32*f**2 = 0. What is f?
-5, -3, 0
Let h(t) be the first derivative of 3 + 0*t + 0*t**3 + 1/2*t**2 + 0*t**4 - 1/150*t**5. Let u(y) be the second derivative of h(y). Factor u(s).
-2*s**2/5
Let y be (252/392*-7)/((-3)/1). Factor y*i**2 - 2*i - 1/4*i**4 + 0*i**3 + 3/4.
-(i - 1)**3*(i + 3)/4
Let p = 12 - 7. Let