 0*j + 3 + 10*j + 11 - 20*j**2. Let q(u) = -u**2 + 1. Let c(l) = -15*q(l) + y(l). What is x in c(x) = 0?
-1, 3
Let a(l) = 4*l - 23. Let y be a(8). Suppose -y = -3*b - 0*b. Factor 6/7*d**2 + 0*d - 4/7*d**b - 2/7.
-2*(d - 1)**2*(2*d + 1)/7
Let y = 377 - 2633/7. Let t = -1 - -4. Let 2/7*f - y*f**2 + 6/7 - 2/7*f**t = 0. Calculate f.
-3, -1, 1
Factor -z**3 + 0 - 1/2*z**4 - 1/12*z**5 - 5/6*z**2 - 1/4*z.
-z*(z + 1)**3*(z + 3)/12
Factor -4/5*g**2 - 48/5 - 28/5*g.
-4*(g + 3)*(g + 4)/5
Let t be 4 + (-20)/(-15)*3/2. Let n be (t - (4 + -2)) + 0. What is s in -81/2 - 12*s**3 + 0*s + 3/2*s**n + 27*s**2 = 0?
-1, 3
Suppose 0 = 8*n - 5*n + 2*l + 200, n = 2*l - 64. Let c be (n/231)/((-4)/21). Factor 12*b - c*b**2 - 24.
-3*(b - 4)**2/2
Let m(z) be the third derivative of -z**6/24 + z**5/2 + 125*z**4/24 + 15*z**3 + 2*z**2 - 114. Suppose m(n) = 0. What is n?
-2, -1, 9
Solve 9 - 24 - 34*x + 15 - 17*x**2 + 16*x**2 = 0.
-34, 0
Let v = 67/12 + -45/8. Let c = v - -3/8. Factor c*u**3 + 0*u - 1/3*u**2 + 0 + 1/3*u**4 - 1/3*u**5.
-u**2*(u - 1)**2*(u + 1)/3
Factor 0 + 25*i + 29/4*i**3 + 26*i**2 + 1/4*i**4.
i*(i + 2)**2*(i + 25)/4
Let h(i) be the second derivative of -i**7/504 - i**6/144 - 13*i**4/12 - 8*i. Let j(f) be the third derivative of h(f). Solve j(m) = 0 for m.
-1, 0
Let j = -11484 + 11484. Solve j + 6/7*i - 2/7*i**3 + 4/7*i**2 = 0 for i.
-1, 0, 3
Let v = -1 + 3. Suppose v*o + 4 = -4*u, u + 0*u = -o. Factor -o*i**2 + 8*i + 3*i**2 + 6 + i**2.
2*(i + 1)*(i + 3)
Let x = 25 - 10. Suppose 2*l + 2 = -3*d - 5, -x = -5*l - d. Determine w so that 17 + 108 + 11*w**2 - 2*w**2 - 50*w - l*w**2 = 0.
5
Let g(h) = 7*h - 58. Let m be g(9). Factor 10 - 25*s**2 + m*s + 6*s**2 + 14*s**2.
-5*(s - 2)*(s + 1)
Let j = -159 + 180. Let x be 2/((-8)/(-42)*j/6). Factor 6/5*w**2 - 4/5*w**x - 2/5 + 0*w.
-2*(w - 1)**2*(2*w + 1)/5
Let r(i) be the first derivative of 1/8*i**4 + 0*i + 2/5*i**5 - 9 + 0*i**3 + 0*i**2 + 1/4*i**6. Suppose r(l) = 0. What is l?
-1, -1/3, 0
Let q(d) be the first derivative of d**6/30 + 7*d**5/25 + 7*d**4/10 + 2*d**3/15 - 3*d**2/2 - 9*d/5 + 95. Find i such that q(i) = 0.
-3, -1, 1
Let p be 42/(-35)*(-30)/9. Let o be 40/30*(-3)/(-2). Factor p*g**2 - 2 + o*g**5 - 7*g**3 + 2 + g**3.
2*g**2*(g - 1)**2*(g + 2)
Let b(h) be the first derivative of h**3/5 - 3*h**2 + 63*h/5 + 35. Factor b(i).
3*(i - 7)*(i - 3)/5
Suppose 0 = z - 5*w - 56, z + w = -0*w + 50. Suppose -z*x = -47*x. Let 0*y + x*y - 6*y + 7*y**2 + 3*y - 2 + 3*y**3 - 5*y**4 = 0. Calculate y.
-1, -2/5, 1
Let h = -12571/12741 + -32/411. Let s = h - -510/217. Suppose -3/7*o**3 + s*o**2 + 3/7 - 9/7*o = 0. Calculate o.
1
Let i(y) = -y**3 - 10*y**2 + 3*y + 25. Let v be i(-10). Let u be (v + 3)/(21/(-3)). Factor 0 - u*k**2 - 2/7*k.
-2*k*(k + 1)/7
Let c = -56/3 + 113/6. Let g(k) be the first derivative of c*k**2 - 5 + 1/18*k**3 + 1/6*k. Factor g(v).
(v + 1)**2/6
Factor -3/4*c**2 - 300 - 30*c.
-3*(c + 20)**2/4
Let w(i) be the second derivative of -i**7/42 + i**6/10 - 3*i**5/20 + i**4/12 - 3*i - 4. Factor w(h).
-h**2*(h - 1)**3
Let f = 26 - 38. Let j = -8 - f. Suppose -4*q**2 + 0*q**2 + 2 + 6*q**2 - j*q**2 = 0. What is q?
-1, 1
Let t(w) be the third derivative of w**7/945 + w**6/108 + w**5/45 - w**4/27 - 8*w**3/27 + 110*w**2. Factor t(j).
2*(j - 1)*(j + 2)**3/9
Let j(v) = -46*v**3 - 35*v**2 + 91*v - 65. Let f(l) = -8*l**3 - 6*l**2 + 15*l - 11. Let o(n) = 34*f(n) - 6*j(n). Factor o(x).
2*(x - 2)*(x + 4)*(2*x - 1)
Let g be 20/(-50) - (-198)/120. Let f(h) be the second derivative of -1/4*h**5 - 5*h + 5/6*h**3 - 5/24*h**4 + 0 + g*h**2. Factor f(z).
-5*(z - 1)*(z + 1)*(2*z + 1)/2
Let c(o) be the third derivative of -o**7/420 + o**6/30 - o**5/5 + 2*o**4/3 - 4*o**3/3 - 79*o**2. Factor c(v).
-(v - 2)**4/2
Let n be (-8)/((-168)/(-9))*-7. Factor 4/3*r**4 + 8*r**n + 16*r + 16/3 + 52/3*r**2.
4*(r + 1)**2*(r + 2)**2/3
Suppose 2*k = -3*n + 16, -5*n + 21 = -7*n + 5*k. Let c(g) be the second derivative of 0 + 2/3*g**4 - g + n*g**2 - 3*g**3. Solve c(t) = 0 for t.
1/4, 2
Let m(b) be the first derivative of b**5/30 - 2*b**4/3 + 29*b**3/18 - 7*b**2/6 + 549. Factor m(u).
u*(u - 14)*(u - 1)**2/6
Let c = 29 + -25. Determine j so that -7*j**4 + 2*j + 61*j**3 - 8*j**2 - 49*j**3 + j**5 - j**c + j**5 = 0.
0, 1
Let d(b) = -6*b - 16. Let a be d(-10). Let g = a + -40. Determine r so that -75*r**4 - 13*r**2 + 12*r**g + 6*r + 53*r**3 - 32*r**2 + 49*r**3 = 0.
0, 2/7, 1/3, 1
Factor 0*v**3 + v**2 - 2/3*v + 0 - 1/3*v**4.
-v*(v - 1)**2*(v + 2)/3
Let a(f) = -f**2 - f - 1. Let c(b) = -3*b**3 - 14*b**2 + 13*b - 2. Suppose -n = -4*n + 6. Let t(u) = n*a(u) - c(u). Suppose t(m) = 0. What is m?
-5, 0, 1
Let s(q) = q**3 + q**2. Let w(t) = 2*t**3 + 7*t**2 - t. Let z(l) = 3*s(l) - w(l). Let k(g) = -5*g**3 + 21*g**2 - 5*g. Let y(u) = 4*k(u) + 22*z(u). Factor y(n).
2*n*(n - 1)**2
Let s(j) be the first derivative of j**3/27 - 23*j**2/3 + 529*j - 4. Factor s(c).
(c - 69)**2/9
Let d(y) = y**3 - 26*y**2 - 35*y - 24. Let s(a) = a**3 - 27*a**2 - 32*a - 24. Let i(j) = -5*d(j) + 4*s(j). Factor i(z).
-(z - 24)*(z + 1)**2
Let g(o) = -o**3 - o**2 - 2*o + 1. Let q(z) = -6*z**3 - 81*z**2 - 3*z + 81. Let d(m) = -3*g(m) + q(m). Factor d(b).
-3*(b - 1)*(b + 1)*(b + 26)
Let i(m) = -m - 1. Let w(u) = u**2 - 1. Suppose -2*r = -5*g - 8, 4*g - 5*r + 0*r = -20. Suppose g*q - 2 = -2*q. Let j(o) = q*w(o) - 2*i(o). Solve j(y) = 0.
-1
Let z be (5/10 + -1)/(1/(-34)). Suppose -4*i + 3*i - z = -4*v, 3*v - 30 = -5*i. Find d, given that 0*d + 1/5*d**2 + 1/5*d**4 + 0 + 2/5*d**i = 0.
-1, 0
What is u in 10*u**2 + 2/9*u**3 + 150*u + 750 = 0?
-15
Factor -80/7*p - 2/7*p**2 - 800/7.
-2*(p + 20)**2/7
Let q(g) be the third derivative of 4*g**5/15 + 7*g**4/6 - 20*g**3 + 25*g**2. Let q(r) = 0. Calculate r.
-15/4, 2
What is d in 50*d**2 + 9 + 108*d - 13 - 779*d**2 = 0?
2/27
Factor 27*i - 13*i - 9*i**2 + 6*i**3 + 16*i - 4*i**3 - 5*i**3.
-3*i*(i - 2)*(i + 5)
Let a(c) be the second derivative of -14*c + 0 + 1/50*c**6 + 3/20*c**5 + 9/20*c**4 + 3/5*c**2 + 7/10*c**3. Factor a(f).
3*(f + 1)**3*(f + 2)/5
Let i(p) = p**3 + 2*p**2. Let t be (-5)/4 + 1 + (-55)/(-44). Let x(w) = -w**3. Let b(n) = t*i(n) + 2*x(n). Suppose b(d) = 0. Calculate d.
0, 2
What is r in 14/13*r**3 + 20/13*r**2 - 2/13*r**4 + 0 - 32/13*r = 0?
-2, 0, 1, 8
Suppose 4*l + b - 17 = -0*b, 4 = -2*l + 2*b. Let u(g) = 3*g**2 + 9*g + 47. Let t be u(-4). Factor 61 - j - t + 4*j**l + j**4 - 3*j**4 - 3*j.
-2*(j - 1)**3*(j + 1)
Let x(m) be the second derivative of -4*m**7/189 + 37*m**6/135 + 79*m**5/180 - 193*m**4/108 + 14*m**3/27 + 10*m**2/9 - 4*m + 70. Suppose x(s) = 0. Calculate s.
-2, -1/4, 1/2, 1, 10
Let c(v) be the third derivative of v**5/270 - v**4/36 + 8*v**2 + 4*v. Factor c(y).
2*y*(y - 3)/9
Let g = -3109 + 3109. Determine x, given that 2/5*x**2 + 8/5*x**3 + g + 0*x = 0.
-1/4, 0
Factor 7/3*t - 10/9 + 1/9*t**3 - 4/3*t**2.
(t - 10)*(t - 1)**2/9
Suppose -3*c = 7*c + 4*c. Let v(g) be the second derivative of 0 + 2*g - 1/90*g**5 - 1/27*g**3 + 1/27*g**4 + c*g**2. Factor v(x).
-2*x*(x - 1)**2/9
Solve 0 - 4/3*z - 2/9*z**3 - 14/9*z**2 = 0.
-6, -1, 0
Let g(l) be the third derivative of -l**6/1980 + l**5/165 - l**4/44 - 17*l**3/6 - 4*l**2. Let n(v) be the first derivative of g(v). Factor n(m).
-2*(m - 3)*(m - 1)/11
Let h = -13 - -17. Factor 2*y**5 - 3*y - 229*y**2 + 235*y**2 + y**5 - 3*y**4 - 3*y**h.
3*y*(y - 1)**3*(y + 1)
Let j(o) = 39*o**3 - 12*o**2 - 195*o - 117. Suppose 4*p + 189 = -3*p. Let v(g) = -3*g**3 + g**2 + 15*g + 9. Let m(h) = p*v(h) - 2*j(h). Factor m(x).
3*(x - 3)*(x + 1)**2
Let i(f) be the third derivative of -8*f**2 + 0 + 0*f**3 + 0*f**4 - 1/60*f**6 + 0*f - 1/210*f**7 - 1/60*f**5. Factor i(a).
-a**2*(a + 1)**2
Let c = 90687/4 - 22670. Let 1/4*d**5 - c*d + 3/2*d**3 - 1/2*d**2 + 5/4*d**4 - 3/4 = 0. What is d?
-3, -1, 1
Let w(q) be the third derivative of 0*q + 1/8*q**4 + 23*q**2 + 0 + 1/20*q**5 - 1/40*q**6 - 1/2*q**3. Factor w(t).
-3*(t - 1)**2*(t + 1)
Let u(o) be the third derivative of o**8/24 + 44*o**7/105 + o**6/12 - 22*o**5/15 - o**4 + 92*o**2. Let u(l) = 0. What is l?
-6, -1, -2/7, 0, 1
Let d be 2/(-4) - (-24)/(9 - -15). Determine n so that -27/2*n - d*n**3 - 27/2 - 9/2*n**2 = 0.
-3
Let q be (-1966)/(-35) - 8/14. Let l = 58 - q. Factor -2/5*g - 8/5*g**4 + 0 - 18/5*g**3 - l*g**2.
-2*g*(g + 1)**2*(4*g + 1)/5
Let y(i) be the first derivative of -i**7/945