= -4*y + k*y. Factor y + 1/3*g - 2/3*g**2.
-g*(2*g - 1)/3
Factor 10*y**2 + 7*y**2 - 7*y**2 - 12*y**2 - 192*y - 4608.
-2*(y + 48)**2
Let j(n) = -2*n**5 - n**3 - n**2 - n - 1. Let u(i) = -6*i**5 - i**4 + 4*i**3 + 5*i**2 - 2. Let a(x) = -6*j(x) + 3*u(x). Find h such that a(h) = 0.
-1, -1/2, 0, 2
Let l(d) be the first derivative of 2*d + 0*d**2 - 8 + 1/24*d**3 - 1/48*d**4. Let v(g) be the first derivative of l(g). Suppose v(c) = 0. Calculate c.
0, 1
Let v be (-178)/(-63)*-7 - -20. Solve 4/9*m**4 + v*m**3 + 0*m - 2/9*m**2 + 0 = 0 for m.
-1, 0, 1/2
Let b(z) be the third derivative of -z**5/80 + z**4/4 - 2*z**3 - 442*z**2. Let b(g) = 0. What is g?
4
Let x(c) be the third derivative of -c**7/1995 + c**6/228 - c**2 + 77. Let x(h) = 0. What is h?
0, 5
Suppose -5*w - 3*o = -16, 0 = -6*o + 5*o - 3. Factor -35*i**5 - 10*i - 8*i**4 + i**2 + 20*i**w + 17*i**5 + 8*i**3 + 4 + 3*i**2.
2*(i - 2)*(i - 1)**3*(i + 1)
Let s = 120 + -118. Let f be 1/(s/16)*(-16)/(-40). Suppose f*a**5 + 4/5*a**2 + 16/5*a**3 - 32/5*a**4 + 1/5 - a = 0. Calculate a.
-1/2, 1/2, 1
Let i = 22 - 19. Factor -4*c**5 + c**2 + 4*c**4 - c**2 + 8*c**i.
-4*c**3*(c - 2)*(c + 1)
Let a(t) be the first derivative of t**3/15 + 24*t**2/5 + 576*t/5 - 368. Factor a(u).
(u + 24)**2/5
Suppose -3*h - 5*n + 32 = 0, 3*h = 6*n - 2*n - 4. Factor 9/4*f**h - 3/4 + 3/2*f**3 + 3/4*f**5 - 3/2*f**2 - 9/4*f.
3*(f - 1)*(f + 1)**4/4
Let z = 68 - 66. Solve 5*o**z - o**2 + 35 - 40*o + 2*o**2 - o**2 = 0 for o.
1, 7
Solve 1/2*c**3 + 2/3*c - 4/3*c**2 + 1/3*c**4 + 0 - 1/6*c**5 = 0.
-2, 0, 1, 2
Let f(w) = 2*w + 4. Let l be f(-5). Let j(v) = -v**2 - 8*v - 9. Let t be j(l). Factor 0*b**5 - b**5 - t*b**3 + 2*b**3 + 2*b**3.
-b**3*(b - 1)*(b + 1)
Let g = -98 - -96. Let y be 1 - g - 275/121. Let 0 - y*c + 2/11*c**2 = 0. Calculate c.
0, 4
Let g be 26/9 + 472/(-531). Factor -4/5 + 18/5*l**g + 14/5*l.
2*(l + 1)*(9*l - 2)/5
Let l(f) be the second derivative of f**7/168 + f**6/40 + f**5/80 - f**4/16 - f**3/12 - 58*f. Find s, given that l(s) = 0.
-2, -1, 0, 1
Let u be 1/(-6) + (-10047)/(-1530) - 6. Factor 126/5*h**2 - 128/5 - 32/5*h + u*h**4 + 32/5*h**3.
2*(h - 1)*(h + 1)*(h + 8)**2/5
Let o(w) be the first derivative of 2*w**3/3 - 3*w**2 - 12*w - 22. Let m(c) = c. Let s(d) = -4*m(d) - o(d). Let s(f) = 0. What is f?
-2, 3
Let d(y) be the first derivative of -y**5/40 + 5*y**4/32 - y**3/3 + y**2/4 - 65. Factor d(v).
-v*(v - 2)**2*(v - 1)/8
Let j(o) be the first derivative of -81*o**5/25 + 9*o**4 - 118*o**3/15 + 2*o**2 - o/5 - 104. Factor j(v).
-(v - 1)**2*(9*v - 1)**2/5
Let q(h) be the second derivative of h**7/2240 + h**6/1440 - h**5/320 - h**4/96 + 5*h**3/3 - 29*h. Let c(t) be the second derivative of q(t). Factor c(x).
(x - 1)*(x + 1)*(3*x + 2)/8
Let p(t) = t**3 - 10*t**2 + 2*t + 4. Let s be p(10). Let w = -22 + s. Factor 1 - 1/4*y**w + 0*y.
-(y - 2)*(y + 2)/4
Let u(n) = 9*n**2 - 7*n + 2. Let i(l) = 5*l**2 - 4*l + 1. Let w(s) = 7*i(s) - 4*u(s). Let t(p) = p**4 + 4*p**2 + 4. Let y(z) = 5*t(z) + 20*w(z). Factor y(r).
5*r**4
Let k(o) be the second derivative of 6*o**4/19 - 4*o**3/19 + o**2/19 + 12*o + 1. Let k(x) = 0. Calculate x.
1/6
Let b(r) be the first derivative of r**4/12 + r**3/2 + 33*r - 38. Let o(y) be the first derivative of b(y). Factor o(i).
i*(i + 3)
Factor 1/4 + 5/8*b**4 - 3/8*b**3 - 7/8*b**2 + 3/8*b.
(b - 1)**2*(b + 1)*(5*b + 2)/8
Let b be 1*2/12 - 133/(-12). Let j(u) be the first derivative of 27/5*u - 9/10*u**2 - 13*u**3 + b*u**4 + 3. Factor j(m).
3*(3*m + 1)*(5*m - 3)**2/5
Let z(n) be the second derivative of n**4/6 - 118*n**3/3 + 3481*n**2 - 74*n - 1. Factor z(i).
2*(i - 59)**2
Let k(p) = -13*p**5 - 6*p**4 - 6*p**3 + 36*p**2 + 31*p - 50. Let c(i) = 3*i**5 + i**3 - i - 1. Let w(y) = 4*c(y) + k(y). Determine h, given that w(h) = 0.
-3, 1, 2
Let s(t) be the second derivative of -t**6/10 + 3*t**5/10 + 3*t**4/4 + 5*t. Determine v so that s(v) = 0.
-1, 0, 3
Suppose 0 = -8*a - 12 + 12. Let g(p) be the first derivative of a*p**3 + 1/8*p**4 + 2 + p - 3/4*p**2. Factor g(i).
(i - 1)**2*(i + 2)/2
Find p, given that 62/3*p - 4/9 + 190/9*p**2 = 0.
-1, 2/95
Suppose -4*l + 26 = o, -23*l - 4*o = -18*l - 38. Let d(a) be the first derivative of l + 0*a**2 - 3/4*a**4 + 2*a**3 + 0*a. Factor d(p).
-3*p**2*(p - 2)
Let q(h) be the first derivative of h**5/35 - h**4/4 + 5*h**3/21 + h**2/2 - 6*h/7 + 302. Factor q(j).
(j - 6)*(j - 1)**2*(j + 1)/7
Suppose -1731 = -13*d - 1705. Factor 0*r**d + 0 - 1/4*r**5 + 0*r - 1/2*r**4 - 1/4*r**3.
-r**3*(r + 1)**2/4
Let 2/7*h**4 + 8/7*h**3 + 0 + 6/7*h**2 + 0*h = 0. Calculate h.
-3, -1, 0
Let c(o) be the second derivative of o**4/5 - 651*o**3/10 - 489*o**2/10 + 705*o. Let c(i) = 0. Calculate i.
-1/4, 163
Suppose -6 = -15*f + 24. Solve -10*y - 4*y**f - 5*y - 8 + y + 2*y = 0 for y.
-2, -1
Suppose 5*h - 6*h = -20. Let -h*t + 9 + 30*t**2 - 19*t + 9*t**5 - 23*t**4 + 30*t**3 - 9*t**4 - 7*t**4 = 0. What is t?
-1, 1/3, 1, 3
Factor 9*c + 0 + 8/3*c**4 - 6*c**3 + 0*c**2 - 1/3*c**5.
-c*(c - 3)**3*(c + 1)/3
Let b(n) be the second derivative of n**4/16 - 4*n**3 + 93*n**2/8 - 334*n. Suppose b(j) = 0. What is j?
1, 31
Let q(b) be the second derivative of 5*b**7/252 - b**6/36 - b**5/8 + 5*b**4/72 + 5*b**3/18 - 26*b. Determine u, given that q(u) = 0.
-1, 0, 1, 2
Let h = -29 + 50. Determine o, given that 6*o**2 + 7*o**2 + 9 + 60*o - o**2 - h*o = 0.
-3, -1/4
Let h(g) = -6*g**4 + g**3 + 7*g**4 - 145*g**2 + 144*g**2 - 1. Let l(u) = -7*u**4 - 7*u**3 + 15*u**2 + 4*u - 5. Let i(y) = -3*h(y) - l(y). Solve i(m) = 0 for m.
-2, -1, 1
Let d be 3/(-21)*(-196)/168. Let -d*f**2 + 1/6*f + 1 = 0. Calculate f.
-2, 3
Let p = -45618 - -45621. Find n, given that 0 + 0*n**2 - 2/5*n**4 + 0*n - 2/5*n**p = 0.
-1, 0
Factor -12/5 - 2/5*s**3 + 14/5*s + 0*s**2.
-2*(s - 2)*(s - 1)*(s + 3)/5
Let a(x) = -5*x**3 - 8*x**2 + 45*x - 32. Let j(k) = -k**3 + 1. Let s(p) = -a(p) + 4*j(p). What is y in s(y) = 0?
-12, 1, 3
Factor 105*h - 57/8*h**2 - 98 + 1/8*h**3.
(h - 28)**2*(h - 1)/8
Let c(d) be the first derivative of -9*d**4/8 + 19*d**3/6 - 11*d**2/4 + d/2 - 71. Factor c(w).
-(w - 1)**2*(9*w - 1)/2
Suppose -2*k - k = r - 50, -k + 2*r = -5. Find w, given that -98*w + 2*w - 35*w**3 + k*w**2 + 75*w**2 + 40 - 4*w + 5*w**4 = 0.
1, 2
Let v = -2461 + 2463. Let 18/5*t**v - 4/5*t + 0 - 24/5*t**4 - 2/5*t**3 = 0. What is t?
-1, 0, 1/4, 2/3
Let c = -8353 + 91885/11. Factor c*g**4 + 0 + 0*g + 0*g**2 + 4/11*g**3.
2*g**3*(g + 2)/11
Let s be (-3 - -1) + 170/34. Let c(z) be the third derivative of -1/16*z**4 + 0*z - 2*z**2 + 0 - 1/280*z**7 + 0*z**5 + 1/80*z**6 + 1/8*z**s. Factor c(r).
-3*(r - 1)**3*(r + 1)/4
Factor -43 - 108 - 20*n - 28*n - 9 + 2*n**3 + 6*n**2.
2*(n - 5)*(n + 4)**2
Let a(q) be the second derivative of q**6/30 + q**5/10 - q**4/12 - q**3/3 + 8*q - 5. Find w such that a(w) = 0.
-2, -1, 0, 1
Let o(b) be the first derivative of -b**7/14 + 9*b**6/10 - 63*b**5/20 + 19*b**4/4 - 3*b**3 - 8*b + 2. Let q(j) be the first derivative of o(j). Factor q(g).
-3*g*(g - 6)*(g - 1)**3
Let b(k) = -k**3 - 2*k**2 - 6*k - 8. Let o be b(-2). Let j be 2/(o + (4 - 3)). Find h such that -4/5 + 4/5*h**2 - j*h + 2/5*h**3 = 0.
-2, -1, 1
Let a(u) = -6*u**4 + 3*u**3 + 27*u**2 + 9*u - 33. Let v(i) = -7*i**4 + 4*i**3 + 27*i**2 + 8*i - 32. Let r(j) = 4*a(j) - 3*v(j). Solve r(g) = 0.
-2, 1, 3
Let s be (-18)/81 + (-38)/(-9) + 1. Let d be (-2)/15*(6 + -4 - s). Suppose 0 + 0*j**2 - 4/5*j**4 + 2/5*j**3 + 0*j + d*j**5 = 0. Calculate j.
0, 1
Factor 18 + 24*m**2 - 106*m + 3*m**3 + 242*m - 97*m.
3*(m + 1)**2*(m + 6)
Suppose -7*g - 30 + 2 = 0. Let v(a) = a**3 + 4*a**2 + 2. Let i be v(g). Suppose -2/15*m - 2/15*m**i + 0 = 0. Calculate m.
-1, 0
Suppose -3*y - 5 + 29 = 0. Let q = y + -4. Factor 0 - 3/7*w**2 - 3/7*w**q + 6/7*w**3 + 0*w.
-3*w**2*(w - 1)**2/7
Let m(b) be the third derivative of -2*b**7/105 - b**6/15 + 363*b**2. Factor m(r).
-4*r**3*(r + 2)
Let q(i) be the first derivative of -3*i**4/4 - i**3 + 3*i**2/2 + 3*i - 89. Find o, given that q(o) = 0.
-1, 1
Let q(i) be the first derivative of -17*i**3/15 + 13*i**2/10 + 4*i/5 + 55. Suppose q(b) = 0. What is b?
-4/17, 1
Find t, given that 53 - 25 - 28 + 3*t**2 - 3*t = 0.
0, 1
Let n = 8288 + -8286. Solve -1/4*z**3 + z - z**n + 1/4*z**4 + 0 = 0.
-2, 0, 1, 2
Let b(z) = z**3 - 6*z**2 + 7*z - 7. Let f be b(5). Suppose -3 = -3*a + f. Find q such that 0*q**2 + 8*q**2 +