m be 15207/84 - (-2)/8. Let b = m + -181. Let 6/7*y**2 - 6/7*y**3 + b*y**4 - 2/7*y + 0 = 0. What is y?
0, 1
Suppose 3 - 1 = l. Suppose l*w - 1 = 5. Determine o, given that o**2 + 0 + w*o - o + 1 = 0.
-1
Suppose 30*m + w = 32*m - 5, 2*m - 5*w - 1 = 0. Let 0 - 2/3*t**4 - 8/3*t**m + 2/3*t**5 + 8/3*t**2 + 0*t = 0. What is t?
-2, 0, 1, 2
What is i in -34*i**4 + 5*i**3 - 5*i + 5*i**2 - 37*i**4 + 66*i**4 = 0?
-1, 0, 1
Determine j so that j**2 - 27 + 12 - 3*j + 17 = 0.
1, 2
Determine b so that 3/8 - 3/8*b**2 - 3/8*b**3 + 3/8*b = 0.
-1, 1
Let x(m) be the second derivative of m**7/21 - m**6/15 - 3*m**5/5 - m**4/3 + 5*m**3/3 + 3*m**2 - 6*m. Let x(i) = 0. Calculate i.
-1, 1, 3
Let o(s) be the third derivative of 0*s**3 - 1/210*s**7 + 0*s**5 + 0*s**4 + 0 + 0*s + 1/120*s**6 - s**2. Suppose o(r) = 0. What is r?
0, 1
Let d = 4 + -39. Let i = d + 35. Factor -7/6*g**5 - 1/3*g**3 + 0 + 0*g**2 + i*g + 3/2*g**4.
-g**3*(g - 1)*(7*g - 2)/6
Let d(v) be the third derivative of 0*v - 3*v**2 + 0*v**3 - 1/40*v**6 + 0*v**4 + 1/60*v**5 - 2/105*v**7 + 0. Factor d(i).
-i**2*(i + 1)*(4*i - 1)
Let l(a) be the third derivative of -a**8/1848 - 2*a**7/1155 - a**6/660 - 7*a**2. Factor l(j).
-2*j**3*(j + 1)**2/11
Suppose 3*a + 6 = 27. Determine k so that 6 + 0*k - 4*k + a*k - 3*k**2 = 0.
-1, 2
Let m(f) be the second derivative of f**6/195 - 7*f**5/130 + 4*f**4/39 + 16*f**3/39 - 26*f. Find s such that m(s) = 0.
-1, 0, 4
Suppose -4*b + x + 0 = -4, -5*x = -4*b + 20. Let y(r) be the third derivative of b + 1/3*r**3 + 0*r + 1/3*r**4 + 7/120*r**5 + r**2. Factor y(n).
(n + 2)*(7*n + 2)/2
Let w = 211 + -205. Determine b, given that -4 + 8*b - 1/4*b**4 - w*b**2 + 2*b**3 = 0.
2
Let s(v) be the second derivative of v**4/42 - 10*v**3/21 + 25*v**2/7 - 4*v. Factor s(t).
2*(t - 5)**2/7
Let l(a) be the second derivative of a**5/70 + a**4/21 - a**3/7 - 20*a. Let l(f) = 0. What is f?
-3, 0, 1
Let x be ((-2)/(-3))/(4/18). Factor 3*h**x - h - h**3 + 3*h + 4*h**2.
2*h*(h + 1)**2
Let z(l) = l**2 - 2*l - 1. Let d(r) be the third derivative of r**5/60 - r**4/12 - r**3/3 - 2*r**2. Let m(w) = 2*d(w) - 3*z(w). Factor m(x).
-(x - 1)**2
Let d = -16/123 + 60/41. Let d*b**3 + 2/3*b + 1/3*b**4 + 0 + 5/3*b**2 = 0. What is b?
-2, -1, 0
Let o(h) be the second derivative of -h**5/30 + h**4/4 - 2*h**3/3 - h**2 - 4*h. Let d(c) be the first derivative of o(c). Let d(s) = 0. Calculate s.
1, 2
Let x(c) be the third derivative of c**6/240 + c**2. Determine k so that x(k) = 0.
0
Let a be (0 - 1/(-3))*0/1. Let r(k) be the second derivative of 2/15*k**3 + 1/30*k**4 - 3*k + a + 1/5*k**2. Factor r(x).
2*(x + 1)**2/5
Let y = -3 - 2. Let l be 10/3 - 4/(-6). Let f(j) = 7*j**2 - j + 9. Let z(h) = 6*h**2 - 2*h + 8. Let n(c) = l*f(c) + y*z(c). Determine s so that n(s) = 0.
1, 2
Let 4/7*q**3 + 2/21*q**4 + 8/21 + 8/7*q + 26/21*q**2 = 0. What is q?
-2, -1
Let i(f) = -3*f**4 - 3*f**3 + 4*f**2 - 5*f - 9. Let h(g) = g**3 + g**2 + g + 1. Let a(z) = 5*h(z) + i(z). Let a(b) = 0. What is b?
-1, 2/3, 2
Factor 0 + 0 + 4 - 10*d + 1 - 15*d**2.
-5*(d + 1)*(3*d - 1)
Let h(o) be the first derivative of -o**3 + 21*o**2/8 + 3*o/2 - 3. Solve h(b) = 0 for b.
-1/4, 2
Let g(l) be the first derivative of 2*l**6/3 - 4*l**5/5 - 2*l**4 + 8*l**3/3 + 2*l**2 - 4*l - 11. Let g(v) = 0. What is v?
-1, 1
Let i = 5 + 0. Suppose i*h + 3*c = 6, -3*c + 1 + 5 = 3*h. Factor -8/5*v**2 + h*v + 64/5*v**3 + 98/5*v**5 + 0 - 154/5*v**4.
2*v**2*(v - 1)*(7*v - 2)**2/5
Let x = -15 + 46. Suppose -5*u**3 - x*u**4 - 9*u**2 - 3*u - 4*u**3 + 28*u**4 = 0. What is u?
-1, 0
Let b(r) be the first derivative of r**6/15 + 4*r**5/25 - 4*r**3/15 - r**2/5 + 2. Factor b(q).
2*q*(q - 1)*(q + 1)**3/5
Suppose 5*x - 4*x = 2. Suppose -m + x*s + 3 = -5, 0 = -m + s + 5. Determine n, given that -3/5 + 3/5*n**m + 0*n = 0.
-1, 1
Let l(r) = -6 - 20 - 18 + 109*r + 24*r**3 - 91*r**2 + 9. Let m(d) = 12*d**3 - 45*d**2 + 54*d - 18. Let c(h) = -6*l(h) + 11*m(h). Suppose c(a) = 0. Calculate a.
1/4, 2
Let l(u) = u**2 - 8*u - 2. Let f(b) = -b**2 + 17*b + 5. Let g(k) = -6*f(k) - 14*l(k). Factor g(n).
-2*(n - 1)*(4*n - 1)
Suppose -6*d + d = -120. Suppose 5*y + d = 2*s, -y - 5 = -4*s + 7. Factor z**4 - 2*z + 9*z**s + 2*z**3 - 14*z**3 + 4*z**4.
z*(z - 1)**2*(5*z - 2)
Let m(b) be the first derivative of 0*b + 3 - 2/3*b**2 - 1/6*b**4 + 2/3*b**3. Factor m(w).
-2*w*(w - 2)*(w - 1)/3
Let m(d) be the second derivative of -d**4/126 - 2*d**3/63 - 10*d. Factor m(r).
-2*r*(r + 2)/21
Let t(b) be the third derivative of 1/12*b**4 - 1/15*b**5 + 0*b + 0 + 1/60*b**6 + 0*b**3 + b**2. Suppose t(c) = 0. What is c?
0, 1
Suppose -6*p + 2*p = b - 20, 20 = -b + 4*p. Solve 0 + 0*y - 2/5*y**3 + b*y**2 = 0 for y.
0
Factor -2/7 + 1/7*l**2 + 1/7*l.
(l - 1)*(l + 2)/7
Let y(w) = 5*w**2 - 4*w**3 + 0*w**3 + 0*w**2 + 8*w - 6 + 3*w**2. Let q(d) = d**4 - 4*d**3 + 9*d**2 + 8*d - 5. Let s(b) = -2*q(b) + 3*y(b). Factor s(r).
-2*(r - 1)**2*(r + 2)**2
Let y(g) be the second derivative of g**4/6 - 2*g**3/3 - 3*g**2 - 20*g. Solve y(a) = 0 for a.
-1, 3
Factor -17*a - 5*a**3 + 14*a - 9*a**2 + 2*a**4 - 4*a**3 - 5*a**4.
-3*a*(a + 1)**3
Let z(g) = -4*g - 2. Let x be z(-1). Let r(c) be the first derivative of 0*c**x + 1 + 1/2*c**4 - 2/9*c**3 + 0*c - 2/5*c**5 + 1/9*c**6. Factor r(a).
2*a**2*(a - 1)**3/3
Let w = 38 + -227/6. Let p(o) be the second derivative of 0*o**2 + 1/3*o**3 + 1/12*o**4 + w*o**6 + 3*o + 0 - 2/5*o**5. Find h, given that p(h) = 0.
-2/5, 0, 1
Suppose 0 = -4*f + 5*o + 28, 0 = o + 1 + 3. Factor -2*z**2 + 3*z + z - f*z.
-2*z*(z - 1)
Suppose 2*q + 6*q**2 + 1 - 8*q**2 + 3*q**2 = 0. Calculate q.
-1
Let b(o) be the second derivative of -1/24*o**4 + 0 + 0*o**2 - 2*o - 1/12*o**3. Factor b(i).
-i*(i + 1)/2
Let m = -1 - 15. Let w be m/(-24) - (-16)/(-42). Factor w*r**2 + 0*r + 0.
2*r**2/7
Let z(g) be the first derivative of g**6/720 + g**5/120 - g**3/9 + g**2 - 2. Let w(k) be the second derivative of z(k). Factor w(a).
(a - 1)*(a + 2)**2/6
Let u be 2/24*((-13)/5 + 3). Let z(i) be the second derivative of 1/3*i**2 + 1/9*i**3 - u*i**5 - 1/18*i**4 + 0 + 2*i. Factor z(t).
-2*(t - 1)*(t + 1)**2/3
Suppose -4*y - 3*a = -20, -5*a + 27 - 7 = 0. Factor 6 - 15*c - 14 - 18*c**y + 69*c + 2*c**3 - 46.
2*(c - 3)**3
Let v be (2 - 21/9)*-30. Let c = -10 + v. Factor -7/4*h**3 + 1/2*h**2 + 0 + c*h.
-h**2*(7*h - 2)/4
Factor -4/7*m**2 + 0 - 2/7*m - 2/7*m**3.
-2*m*(m + 1)**2/7
Suppose 0*y = -y + 3. Let g be (1 - 0)*(3 + -1). Suppose -i**g + 3*i**2 + 2*i**3 + 2*i**4 + 2*i**y = 0. Calculate i.
-1, 0
Let a(r) = 3*r**3 - 30*r**2 - 300*r - 1000. Let q(x) = 4*x**3 - 30*x**2 - 300*x - 1000. Let l(j) = -5*a(j) + 4*q(j). Determine n, given that l(n) = 0.
-10
Let h = 22 + -22. Solve -7/5*t**4 + 2/5*t**2 + h + 0*t - t**3 = 0.
-1, 0, 2/7
Let n(c) be the first derivative of -25*c**3/3 - 15*c**2/2 - 11. Find q such that n(q) = 0.
-3/5, 0
Let i(x) be the first derivative of 0*x + x**2 - 1/6*x**3 - 1/120*x**5 - 1/16*x**4 - 2. Let y(g) be the second derivative of i(g). Factor y(v).
-(v + 1)*(v + 2)/2
Suppose 0 = -7*v + 3 + 11. Factor 0*i**3 - 1/6*i**4 + 1/3*i + 1/2*i**v + 0.
-i*(i - 2)*(i + 1)**2/6
Let l(d) be the third derivative of 0*d + 0 + 1/8*d**4 - 1/60*d**5 - 1/2*d**3 + 3*d**2. Let c(r) = -1. Let u(f) = c(f) - l(f). Factor u(q).
(q - 2)*(q - 1)
Let l(f) = -2*f**3 - 2*f**2 + 2*f + 2. Let y(u) = 3*u**3 + u**2 - u - 3. Suppose 13 = 3*q + 28. Let i(t) = q*l(t) - 4*y(t). Factor i(x).
-2*(x - 1)**3
Let j(y) be the third derivative of y**7/1260 + y**6/180 - 2*y**3/3 + 6*y**2. Let i(a) be the first derivative of j(a). Solve i(v) = 0 for v.
-3, 0
Let v(i) be the first derivative of i**7/420 + i**6/240 + 2*i**2 - 1. Let k(r) be the second derivative of v(r). Let k(f) = 0. What is f?
-1, 0
Suppose 2*q - 11 = 9. Let h be q/(-5) + 14/4. Factor 3*g**4 - 3*g**2 - 3/2*g + 0 + h*g**5 + 0*g**3.
3*g*(g - 1)*(g + 1)**3/2
Factor 10*f + 2*f + 85*f**3 - 45*f**3 - 43*f**3.
-3*f*(f - 2)*(f + 2)
Let p(i) = -i**2 - 4*i + 23. Let m be p(-7). Factor -1/2 - 1/4*c + 1/4*c**m.
(c - 2)*(c + 1)/4
Let s be ((-3)/(-14))/(21/(-140)*-5). Factor -s*w**2 + 2/7*w**4 + 0 + 0*w + 0*w**3.
2*w**2*(w - 1)*(w + 1)/7
Let x(v) be the first derivative of -3 - 2/3*v**3 - v**2 + 0*v. Determine z, given that x(z) = 0.
-1, 0
Suppose -2*z = 2*z. Let n be (1 + 9)/(z - -2). Factor 6*h - 4*h + 4*h**4 - 4*h**2 + h**5 - 3*h**n.
-2*h*(h - 1)**3*(h