 1/4*z**2 + 0. Solve m(o) = 0.
-1
Let y(k) = -5*k**3 + 6*k**3 - 13*k**2 + 2*k**2. Let x be y(11). Find j such that 0*j**2 + 0*j + x + 1/2*j**4 + 1/2*j**3 = 0.
-1, 0
Suppose -202 = -4*g + 3*p - p, 2*p + 150 = 3*g. Let n be -4 + 1 + g/16. Factor 0 + 0*h**2 - n*h**3 + 1/4*h.
-h*(h - 1)*(h + 1)/4
Let i be 16/8 + 0/1. Find j, given that -7*j + 0*j**i + 7*j**3 + 14*j**3 + 15*j**2 + 12 - 41*j = 0.
-2, 2/7, 1
Let t(x) be the first derivative of x**4/2 + 8*x**3/3 + 3*x**2 - 11. Suppose t(g) = 0. What is g?
-3, -1, 0
Let t(f) = -4*f + f + 4*f. Let i(o) = o**2 + 1. Let v(k) = 2*k**2 + 2*k + 3. Let r(c) = 3*i(c) - v(c). Let s(d) = r(d) + t(d). What is z in s(z) = 0?
0, 1
Let q be 14991/(-84) + 3/(-12). Let b = q + 179. Let -b*f**2 + 0 + 0*f - 2/7*f**3 = 0. What is f?
-1, 0
Let l(o) = -56*o**3 + 222*o**2 + 4*o - 18. Let f(p) = 19*p**3 - 74*p**2 - p + 6. Let s(j) = 16*f(j) + 5*l(j). Factor s(n).
2*(n - 3)*(3*n - 1)*(4*n + 1)
Let s(f) be the third derivative of f**2 - 1/360*f**5 + 0*f**3 + 0*f + 0 + 1/144*f**4. Factor s(h).
-h*(h - 1)/6
Let d(j) = -10*j**4 + j**3 + 4*j**2 - 7*j - 7. Let l(r) = 9*r**4 - 3*r**2 + 6*r + 6. Let h(m) = -6*d(m) - 7*l(m). Determine v so that h(v) = 0.
-1, 0
Factor -2*j**3 - 13/2*j + 8*j**2 + 3/2.
-(j - 3)*(2*j - 1)**2/2
Factor 15 - 4*n**2 - 15 - 12*n.
-4*n*(n + 3)
Let 0 + 8/11*u**2 + 4/11*u - 1/11*u**5 - 2/11*u**4 + 3/11*u**3 = 0. What is u?
-2, -1, 0, 2
Let w(f) = f**2 + 3*f + 2. Let c be w(-3). Factor c*y**2 + 5*y**3 + y**2 - 2*y**3.
3*y**2*(y + 1)
Determine y so that 0*y + 0*y**2 - 2/11*y**3 + 0 - 2/11*y**4 = 0.
-1, 0
Suppose -26 = -2*n - 16. Determine a, given that -1/5 + 2/5*a**2 + 4/5*a + 4/5*a**n - 8/5*a**3 - 1/5*a**4 = 0.
-1, 1/4, 1
Let 48/7*t**2 - 2*t**5 + 60/7*t**4 - 86/7*t**3 + 0 - 8/7*t = 0. What is t?
0, 2/7, 1, 2
Suppose 2*y + 2*q - 1 = -3, y + 11 = -3*q. Suppose 19 - y = 5*x. Solve 2/5 - 6/5*s + 6/5*s**2 - 2/5*s**x = 0.
1
Let f(c) be the first derivative of 0*c**2 - 2/15*c**5 - 1/12*c**4 + 1/18*c**6 + 0*c + 4 + 2/9*c**3. Suppose f(d) = 0. Calculate d.
-1, 0, 1, 2
Let m(b) be the third derivative of -1/84*b**6 + 1/105*b**5 + 5*b**2 + 5/84*b**4 - 2/21*b**3 + 0*b + 0. Solve m(i) = 0.
-1, 2/5, 1
Solve 0*v - 2*v - 36*v**2 + 40*v**2 - 2*v**3 = 0 for v.
0, 1
Suppose j - 2 = 2*w - j, 0 = -5*w - 5*j + 25. Factor w*d**4 - 3*d**2 - d**5 + d + 5*d**2 + 0*d**5 - 4*d**2.
-d*(d - 1)**3*(d + 1)
Let d(j) = j**3 - 5*j**2 + 6*j - 6. Suppose -5*h + 14 - 44 = 0. Let b(r) = 2*r**3 - 9*r**2 + 11*r - 11. Let s(o) = h*b(o) + 11*d(o). Factor s(m).
-m**2*(m + 1)
Suppose -4/11*r**3 - 2/11*r**2 + 0 - 2/11*r**4 + 0*r = 0. What is r?
-1, 0
Let p(x) be the third derivative of x**8/3192 - x**7/665 - x**6/570 + 2*x**5/95 - 2*x**4/57 + x**2. What is c in p(c) = 0?
-2, 0, 1, 2
Solve 2/7*o**5 - 2/7*o**2 + 2/7*o**4 + 0 + 0*o - 2/7*o**3 = 0 for o.
-1, 0, 1
Let w(s) be the third derivative of s**6/60 - s**5/30 - s**4/6 + 7*s**2. Factor w(g).
2*g*(g - 2)*(g + 1)
Let j(g) be the second derivative of -g**5/60 - g**4/18 - g**3/18 - 5*g. Factor j(v).
-v*(v + 1)**2/3
Let r be ((-4)/2)/(4/(-6)). Factor w**4 - 4*w**r + w**5 - w**3 + w**3 + 3*w**3 - w**2.
w**2*(w - 1)*(w + 1)**2
Let f(a) = 4*a**5 + 5*a**4 - 8*a**3 - 13*a**2 + 13*a + 26. Let v(j) = 7*j**5 + 9*j**4 - 16*j**3 - 27*j**2 + 27*j + 54. Let d(q) = -5*f(q) + 3*v(q). Factor d(m).
(m - 2)**2*(m + 2)**3
Let u(p) = p**3 - 12*p**2 - p + 17. Let y be u(12). Let x(n) = n**2 + 8*n + 9. Let q be x(-7). Solve 0 - 3/4*w**3 + 0*w + 3/4*w**4 + 1/4*w**q - 1/4*w**y = 0.
0, 1
Let c(m) = m**3 + m**2 + 1. Let k(u) = -9*u**3 + 3*u - 12. Let o(z) = -6*c(z) - k(z). Factor o(w).
3*(w - 2)*(w - 1)*(w + 1)
Let x(d) be the first derivative of -d**5/50 - d**4/10 - 2*d**3/15 - d - 2. Let a(c) be the first derivative of x(c). Factor a(v).
-2*v*(v + 1)*(v + 2)/5
Suppose 4*q - 15 = 5. Suppose -q*j = -16 + 1. Suppose -1 + 0*x**3 + 3*x**2 - 4*x**3 + 2*x**j = 0. What is x?
-1/2, 1
Solve -4*k**3 - 7*k**4 + 4*k**5 + 25*k**4 - 10*k**4 - 8*k**2 = 0.
-2, -1, 0, 1
Let z = 22064/9 + -2458. Let w = 64/9 + z. Factor 1/3*p**3 + 0 + 1/3*p - w*p**2.
p*(p - 1)**2/3
Let b(y) be the second derivative of -2*y**7/21 + 2*y**6/15 + 8*y**5/5 - 8*y**4/3 - 32*y**3/3 + 32*y**2 - 11*y. Let b(k) = 0. Calculate k.
-2, 1, 2
Let w(q) be the first derivative of -1/6*q**6 + 0*q + 1/4*q**4 + 2/3*q**3 + 0*q**2 - 2/5*q**5 + 4. Let w(g) = 0. Calculate g.
-2, -1, 0, 1
Let c be 35/14 + (1 - 3). Find z such that -3*z + c*z**2 + 9/2 = 0.
3
Solve 3 - 11*i + 11*i**3 + 4*i**3 + 9 - 13*i - 21*i**2 = 0 for i.
-1, 2/5, 2
Factor -2*n + 1/3*n**2 + 5/3.
(n - 5)*(n - 1)/3
Let q(w) be the third derivative of -1/60*w**6 - w**2 + 0*w + 0 + 1/12*w**4 + 0*w**5 + 0*w**3. Determine a, given that q(a) = 0.
-1, 0, 1
Factor 7*m**4 - 9*m**4 + 12*m**4 + 5*m**5.
5*m**4*(m + 2)
Factor 4/3 + 2/3*l - 2/3*l**2.
-2*(l - 2)*(l + 1)/3
Let n(p) = p**3 + 3*p**2 - p - 3. Let s(a) = a**3 + 5*a**2 - a - 5. Let w(g) = -5*n(g) + 3*s(g). Determine k so that w(k) = 0.
-1, 0, 1
Let v(h) be the third derivative of h**8/112 + 2*h**7/35 + h**6/8 + h**5/10 - 16*h**2. Let v(x) = 0. Calculate x.
-2, -1, 0
Factor -4/13*h + 0 + 0*h**3 + 6/13*h**2 - 2/13*h**4.
-2*h*(h - 1)**2*(h + 2)/13
Let x(m) be the second derivative of m**7/14 + 3*m**6/10 + 3*m**5/10 + 3*m. Factor x(a).
3*a**3*(a + 1)*(a + 2)
Determine y so that -3*y**2 + y**4 - 637*y**3 + 2*y + 637*y**3 = 0.
-2, 0, 1
Let q = 185 + -181. Let s(d) be the first derivative of 0*d**2 + 0*d**3 - 2/55*d**5 + 4 - 1/22*d**q + 0*d. Factor s(m).
-2*m**3*(m + 1)/11
Let d(j) = -j**2 + 9*j - 15. Let o be d(6). Find a such that -2 + 4*a - a - 4*a + 2*a**o - a + 2*a**2 = 0.
-1, 1
Let w(h) be the third derivative of -h**9/302400 + h**8/33600 - h**7/8400 + h**6/3600 + h**5/60 - 4*h**2. Let j(t) be the third derivative of w(t). Factor j(x).
-(x - 1)**3/5
Let a(r) be the third derivative of -r**10/15120 - r**9/3780 + r**7/630 + r**6/360 - r**4/12 - 3*r**2. Let g(z) be the second derivative of a(z). Factor g(y).
-2*y*(y - 1)*(y + 1)**3
Let w(a) be the third derivative of a**6/100 + 2*a**5/45 + a**4/45 - 4*a**2. Factor w(c).
2*c*(c + 2)*(9*c + 2)/15
Suppose 0*y = -3*n - 2*y + 31, -5*n + y = -69. Let j = -11 + n. Determine q so that -6/7*q**j - 2/7*q**3 - 2/7 - 6/7*q = 0.
-1
Factor 16/9 - 2/9*r**4 - 8/9*r + 10/9*r**3 - 4/3*r**2.
-2*(r - 2)**3*(r + 1)/9
Suppose -25 = -q - 4*q. Let -2*h**3 + h**2 - 2*h**5 + 3*h**q - h**3 - 3*h**2 = 0. Calculate h.
-1, 0, 2
Suppose 3*w = m + 7*w + 13, w + 7 = m. Suppose -15*f**3 + 1 - 6*f - 24*f**2 + 5 + m*f = 0. What is f?
-1, 2/5
Let k be (-36)/(-20) + 69/(-230). Find z such that -k*z**2 - 3/2*z**3 + 3/2*z**4 + 0*z + 0 + 3/2*z**5 = 0.
-1, 0, 1
Suppose d = 3*d + d. Let d + 1/2*u - 1/2*u**2 = 0. What is u?
0, 1
Let u(b) be the third derivative of -b**5/15 - b**4/3 + 2*b**3 + 17*b**2. Suppose u(m) = 0. What is m?
-3, 1
Suppose 7*t - 2*v = 2*t - 4, 19 = -5*t - 3*v. Let z be 12/10*t/(-6). Find x, given that 2/5*x**4 + 0 + 2/5*x - z*x**2 - 2/5*x**3 = 0.
-1, 0, 1
Let f(w) be the first derivative of 4*w**5/5 + 10*w**4 + 100*w**3/3 - 38. Let f(p) = 0. What is p?
-5, 0
Let a(r) = r**4 - r**3 - r**2 - r. Let i(y) = -y**4 - 6*y**3 - 3*y**2 - 2*y. Let f(d) = -6*a(d) + 3*i(d). Suppose f(h) = 0. What is h?
-1, -1/3, 0
Let k be (-39)/(-6)*(-8)/(-10). Let r = 192/35 - k. Factor 4/7*s**3 + 0 + 2/7*s**2 + 0*s + r*s**4.
2*s**2*(s + 1)**2/7
Let x(t) be the third derivative of t**5/150 - t**4/30 + t**3/15 - t**2. Factor x(l).
2*(l - 1)**2/5
Let n(m) = -20*m**5 + 16*m**4 + 24*m**3 + 32*m**2 - 4*m. Let b(s) = s**5 - s**4 - s**3 - s**2. Let g(t) = -24*b(t) - n(t). Determine h so that g(h) = 0.
-1, 0, 1
Let r be (-13 + 1)*(-4)/12. Suppose r*h + 1 - 5 = 0. Factor -2*v**3 + 6*v + v**4 + 2 + h - 4*v**4 - 4*v**3.
-3*(v - 1)*(v + 1)**3
Let g be 40/15*6/4. Let 3*z - 218*z**3 - 72*z**2 - 74*z**g - 153*z**4 - 25*z**4 - 11*z - 98*z**5 = 0. What is z?
-1, -2/7, 0
Let r = 9 + -6. Suppose -y - r*y + 12 = 0. Factor -y*d**5 - 4*d**3 - d**4 + 7*d + 0*d**4 - 6*d**2 - 2 + 9*d**4.
-(d - 1)**3*(d + 1)*(3*d - 2)
Suppose -5*y = -8 - 2. Suppose -5*k = -2*t - 7, y*k - 7 = -3*t + 11. Factor 0*s - 3*s**3 - t + 10*s - 8*s**2 + 5*s**3.
2*(s - 2)*(s - 1)**2
Let u(m) be the third derivative of 0*m + 3*m**2 + 2/39*m**3 + 7/156*m**4 + 0 - 2/195*m**5. Determine w, given that u(w) = 0.
-1/4, 2
Let -n**2 + 1/2*n**