for y.
-1, 2
Suppose -4*k - 3*h = -16, 13 = 2*k + 3*k + 2*h. Let j be 5 - (-3 - (-5 - k)). Factor 4/5*o - 2/5*o**j - 2/5.
-2*(o - 1)**2/5
Let b = 8 - 4. Let d(x) be the first derivative of -4/21*x**3 - 1 + 0*x - 1/7*x**2 - 1/14*x**b. Solve d(z) = 0.
-1, 0
Let d = 33 + -30. Factor 6/5*r**d - 6/5*r**4 + 0*r - 2/5*r**2 + 2/5*r**5 + 0.
2*r**2*(r - 1)**3/5
Let s be (-15)/4 - (-2)/(-8). Let g = 6 + s. Solve 6 - 9*k - 2*k**2 + 3*k**g + 2*k**2 = 0.
1, 2
Suppose -68 = -16*c - 20. Let q(p) be the first derivative of -6/25*p**5 + 2/5*p**4 - 4/5*p**2 + 2/5*p + 4/15*p**c - 4. Let q(y) = 0. Calculate y.
-1, 1/3, 1
Let y(m) be the second derivative of 4*m**4/15 + m**3/3 - 3*m**2/5 - 23*m. Suppose y(t) = 0. What is t?
-1, 3/8
Let f(q) be the first derivative of 3*q**5/20 + 3*q**4/8 - q**3/4 - 3*q**2/4 - 15. Factor f(o).
3*o*(o - 1)*(o + 1)*(o + 2)/4
Let d(o) = -2*o**3 + o**2 + 2*o + 1. Let z be d(-1). Suppose 3*k**2 - 5*k**z - k**4 + 3*k**4 + 0*k**4 = 0. What is k?
-1, 0, 1
Let i(w) = 2*w + 2. Let s be i(-1). Let c(b) = -b**2 + 4*b - 3. Let o be c(3). Factor -2*y**2 + 2 + o + s.
-2*(y - 1)*(y + 1)
What is b in 3*b**2 + 8 + 44*b - 143*b**3 + 2*b**2 + 13*b**2 - 4*b**2 + 28*b**4 + 49*b**5 = 0?
-2, -2/7, 1
Let j(l) be the first derivative of l**6/3 - l**4/2 + 16. Factor j(o).
2*o**3*(o - 1)*(o + 1)
Let x = -8 - -10. Factor 3*y**2 - 2*y + y**2 - 3*y**x.
y*(y - 2)
Let z be (1 - -3)/(15/(525/20)). Let f(j) be the second derivative of 1/14*j**z + 0*j**2 - 3/20*j**5 + 0 + 0*j**4 + 0*j**6 + 2*j + 0*j**3. Factor f(a).
3*a**3*(a - 1)*(a + 1)
Let w(f) be the second derivative of -f**4/12 - f**3/6 + f**2 - 2*f. Let a be w(0). Factor -u**4 + u**2 - u**4 + u**a.
-2*u**2*(u - 1)*(u + 1)
Solve -199/6*w**3 + 35/3*w**4 + 49/6*w**5 + 46/3*w**2 + 0 - 2*w = 0 for w.
-3, 0, 2/7, 1
Suppose -9*l = -8*l - 4. Factor 0*r**2 + 0*r**3 + 2/5*r**l + 0*r + 0.
2*r**4/5
Factor 0 - 2/3*b**4 - 4*b**3 + 0*b - 16/3*b**2.
-2*b**2*(b + 2)*(b + 4)/3
Let q(o) = 6*o**3 - 8*o**2 - 5*o + 9. Let i(n) = 5*n**3 - 7*n**2 - 4*n + 8. Let r(l) = -5*i(l) + 4*q(l). Suppose r(m) = 0. What is m?
-1, 2
Let u(j) = 19*j**2 - 17*j + 2. Let v(r) = 8 + 56*r - 6 + 28*r - 96*r**2 - 11. Let x(l) = -21*u(l) - 4*v(l). Factor x(s).
-3*(s - 1)*(5*s - 2)
Let t(a) be the first derivative of 2/27*a**3 - 8/9*a + 0*a**2 - 1. What is z in t(z) = 0?
-2, 2
Let n(m) be the second derivative of 4*m**5/5 + m**4 - 2*m**3/3 - 21*m. Suppose n(o) = 0. What is o?
-1, 0, 1/4
Let n(b) be the first derivative of -b**7/1260 + b**5/60 - b**4/18 - 2*b**3/3 - 2. Let h(s) be the third derivative of n(s). What is w in h(w) = 0?
-2, 1
Factor 4*v + 8*v**2 - 3*v**2 - 4*v**2 - 3*v**2.
-2*v*(v - 2)
Let w = -2/171 - -230/171. Let y = 59945/16857 - 1/1873. Find g, given that -w*g**4 - y*g**2 - 28/9*g**3 - 2/9*g**5 - 4/9 - 2*g = 0.
-2, -1
Suppose -4*a + 24 = 4*s, s = 3*a - 0 - 6. Solve -m - 3*m**4 + 3*m**3 + 7*m + 3 - 9*m**s = 0.
-1, 1
Suppose 0 = -5*z + 4*g + 30, -2*g + 0*g - 10 = 0. Let m(f) be the second derivative of 0*f**3 + 2*f + 0*f**z + 1/6*f**4 + 0. Factor m(j).
2*j**2
Let o(x) be the third derivative of -35*x**8/48 - 2*x**7/3 - x**6/6 + 14*x**2. What is q in o(q) = 0?
-2/7, 0
Let g = -2 - -5. Let u = 17/33 - 1/66. Suppose u*n**2 - n**g + n - 1/2 = 0. What is n?
-1, 1/2, 1
Let n(j) be the second derivative of j**5/50 - j**4/15 - 7*j**3/15 - 4*j**2/5 - 22*j. Find z, given that n(z) = 0.
-1, 4
Let a(m) = m - 16. Let u be a(18). Solve -2/9*p**5 + 0*p**u + 0 - 2/9*p**4 + 0*p**3 + 0*p = 0.
-1, 0
Let b(m) be the second derivative of 2*m**6/15 + 2*m**5/5 - 4*m**3/3 - 2*m**2 + 3*m. Find s such that b(s) = 0.
-1, 1
Suppose -2*d + 18 = 54. Let n(c) = -6*c**3 + 13*c + 7. Let m(v) = 21*v**3 - 45*v - 24. Let w(g) = d*n(g) - 5*m(g). Find b, given that w(b) = 0.
-1, 2
Let v be (-9)/5*(-10)/3. Find h such that 43*h**5 + v*h**2 - 24*h**2 + 44*h**4 - h**5 + 8*h - 6*h**2 - 30*h**3 = 0.
-1, 0, 2/7, 2/3
Let a(g) be the second derivative of -g**5/10 + g**3 + 2*g**2 + 10*g. Determine v, given that a(v) = 0.
-1, 2
Factor 3*x**4 + 20*x - 6*x**3 + 8 + 12*x**2 + 2*x**3 - 7*x**4.
-4*(x - 2)*(x + 1)**3
Let n(b) = 11*b + 68. Let k be n(-6). Let o(z) = 4*z**2 + 2*z - 1. Let w be o(1). Factor -3/2*g**3 - 1/2*g**k - 1/2*g**w + 0*g - 3/2*g**4 + 0.
-g**2*(g + 1)**3/2
Suppose 2 = 7*y - 5*y. Let i(m) be the first derivative of y + m**2 - 2/3*m**3 + 0*m. Determine k, given that i(k) = 0.
0, 1
Factor 0*l + 0 + 2/9*l**2 - 4/9*l**3 + 2/9*l**4.
2*l**2*(l - 1)**2/9
Determine x, given that 0*x + 0 + 0*x**2 + 1/3*x**4 + 0*x**3 = 0.
0
Let u = -22 - -25. Factor 8 - f**4 - f**2 - 9*f**u + 6*f**3 + 12*f + 3*f**2.
-(f - 2)*(f + 1)*(f + 2)**2
Let n(b) = 19*b**5 + 33*b**4 + 35*b**3 - 3*b**2 - 4*b. Let j(z) = -z**5 + z**4 - z**3 + z**2. Let q be (-2)/6 - 22/33. Let c(x) = q*n(x) - 5*j(x). Factor c(m).
-2*m*(m + 1)**3*(7*m - 2)
Suppose 0 = 4*w - 9*w + 70. Suppose -5*m = 5*q + 5, -4*m = -4*q - w - 22. Suppose 2*o**3 - 5*o**3 + o**4 + m*o**3 = 0. Calculate o.
-1, 0
Solve 76/3*s - 722/3 - 2/3*s**2 = 0.
19
Let 1/10*j + 1/5 - 6/5*j**2 + 9/10*j**3 = 0. What is j?
-1/3, 2/3, 1
Let j(f) be the first derivative of -5/9*f**2 + 2/9*f**3 + 1 + 4/9*f. Solve j(m) = 0 for m.
2/3, 1
Let c = -3 - -6. Factor 0*r + 0*r**3 - 2*r**c + 5*r - 3*r.
-2*r*(r - 1)*(r + 1)
Let l(s) be the second derivative of -s**7/28 + 3*s**5/20 - s**3/4 + 4*s. Solve l(k) = 0.
-1, 0, 1
Let g be (1/2)/(1/10). Let h(y) be the first derivative of -2/9*y**3 + 7/18*y**6 - 16/15*y**g + 11/12*y**4 + 0*y**2 + 2 + 0*y. Factor h(j).
j**2*(j - 1)**2*(7*j - 2)/3
Let g(y) = -3*y**3 - y**2 + y - 1. Let j(k) = -k**3 - 1. Let w(i) = -2*g(i) + 4*j(i). Factor w(n).
2*(n - 1)*(n + 1)**2
Determine d so that -1/5*d**3 + 1/5*d**2 + 1/5*d**5 + 0*d - 1/5*d**4 + 0 = 0.
-1, 0, 1
Let y(a) be the first derivative of 2*a**3/3 + 10*a**2 + 50*a + 15. Let y(m) = 0. Calculate m.
-5
Let x(v) be the first derivative of v**4/22 + 50*v**3/33 + 168*v**2/11 + 288*v/11 + 4. Find d such that x(d) = 0.
-12, -1
Let v(k) = -k**3 + 5*k**2 - 2*k - 2. Let i be v(2). Let m(y) = -y**3 + 6*y**2 + 2. Let x be m(i). Let 2/7*c**x + 4/7*c + 2/7 = 0. Calculate c.
-1
Determine k, given that 4/3 + 10/3*k - 2/3*k**4 - 2/3*k**3 + 2*k**2 = 0.
-1, 2
Let j(n) = 5*n**4 - 5*n**2 + 3*n. Let g(s) = -9*s**4 + 9*s**2 - 5*s. Let r(w) = 3*g(w) + 5*j(w). Factor r(l).
-2*l**2*(l - 1)*(l + 1)
Let t(o) = -19*o**3 + 16*o**2 + 13*o. Let s(r) = -10*r**3 + 8*r**2 + 6*r. Let z(l) = -11*s(l) + 6*t(l). Solve z(m) = 0.
-1, 0, 3
Let g be (-8)/4 - 65/(-20). Factor 1/4*l**2 + 3/4*l**3 + 1/2*l**5 + 0 - 1/4*l - g*l**4.
l*(l - 1)**3*(2*l + 1)/4
Let g(k) be the second derivative of -k**5/30 - k**4/6 - k**2/2 - 3*k. Let w(r) be the first derivative of g(r). Suppose w(h) = 0. Calculate h.
-2, 0
Let m = -5 + 7. Solve m*y + y**5 - y - 2*y**3 + 3*y**5 - 3*y**5 = 0 for y.
-1, 0, 1
Let f(c) be the second derivative of c**9/60480 + c**8/13440 - c**6/1440 - c**5/480 - c**4/3 - 2*c. Let d(g) be the third derivative of f(g). Factor d(y).
(y - 1)*(y + 1)**3/4
Let l(a) be the second derivative of -1/3*a**3 + 2*a + 0 - a**2 - 1/24*a**4. Factor l(y).
-(y + 2)**2/2
Let f(u) = u + 1. Let q(s) = 3*s**2 + 4*s + 1. Let x(b) = f(b) - q(b). Find g, given that x(g) = 0.
-1, 0
Let t(o) be the first derivative of 1/6*o**3 - 1/20*o**5 - 2 - 1/4*o + 1/8*o**4 - 1/24*o**6 - 1/8*o**2. Solve t(k) = 0 for k.
-1, 1
Let p be (-2 - (-8 - -2))/2. Suppose 2/3 - 3*u + 7/3*u**p = 0. What is u?
2/7, 1
Factor 2/9*q + 0 + 2/3*q**2 + 2/3*q**3 + 2/9*q**4.
2*q*(q + 1)**3/9
Let w(g) be the third derivative of -7*g**2 + 1/60*g**6 + 0*g - 1/30*g**5 - 1/12*g**4 + 0 + 1/3*g**3. Let w(d) = 0. What is d?
-1, 1
Let c(t) be the second derivative of t**6/6 - t**5/4 - 5*t**4/12 + 5*t**3/6 - 11*t. Find v, given that c(v) = 0.
-1, 0, 1
Let o(r) be the third derivative of r**5/390 - 6*r**2. Determine x, given that o(x) = 0.
0
Let y = 12 - 6. Suppose -r = 4*z + y, 3*r + z = r + 2. Factor 2*d + 1 + r*d**2 + 2*d**2 - 3*d**2.
(d + 1)**2
Let v be (-18)/(-20) - (-5)/(-10). Let t = 6 - 6. Suppose -6/5*d**3 + 0*d + t - v*d**2 = 0. What is d?
-1/3, 0
Let t(d) = d**3 - 15*d**2 - 21*d - 5. Let g(u) = -6*u**3 + 76*u**2 + 106*u + 24. Let i(l) = 3*g(l) + 16*t(l). Factor i(x).
-2*(x + 1)**2*(x + 4)
Let h = 25 + -22. Suppose h*c = -3, 0 = d - 4*c - 0 - 4. What is o in d*o - 1/4*o**2 + 1/4 = 0?
-1, 1
Fact