 -y**5/10 + 5*y**4/24 - 2*y**3/3 + 3*y**2. Let p(g) = -6*b(g) - 5*k(g). Solve p(f) = 0.
-1, 1
Let y(v) = -v**2 + 4*v + 3. Suppose -2*d - d + 12 = 0. Let j be y(d). Find u such that -8/3 - 8/3*u**4 - 8*u**j - 2/3*u**2 + 8*u = 0.
-2, 1/2
Let t = -21/5 - -47/10. Let g(h) = h - 1. Let j be g(3). Determine s, given that 0 + t*s - 1/4*s**j = 0.
0, 2
Let t be 2/8 - (-164)/(-16). Let q be 14/t*(-120)/140. Factor -3/5*z - 3/5*z**3 + q*z**2 + 0.
-3*z*(z - 1)**2/5
Find n, given that 0 + 1/4*n**5 + 1/2*n + 5/4*n**4 + 7/4*n**2 + 9/4*n**3 = 0.
-2, -1, 0
Let f(i) = 2*i**3 + 4*i**2 - 4*i + 3. Let y be f(-4). Let v be (-8)/(-6)*y/(-54). Factor -8/9*m**2 - 4/9 - v*m - 2/9*m**3.
-2*(m + 1)**2*(m + 2)/9
Let h = 30 - 31. Let o be ((-6)/16)/(h/2). Solve 0 - 3/4*m**2 + o*m = 0.
0, 1
Let w(t) = 2*t - 10. Let a be w(7). Suppose 0 = 4*k - a - 8. Suppose 2*r**4 + 2*r**k + r**4 - 4*r**4 - r**3 = 0. Calculate r.
0, 1
Let k(u) be the first derivative of u**6/360 - u**5/60 + 2*u**3/3 - 1. Let s(d) be the third derivative of k(d). Find g such that s(g) = 0.
0, 2
Let v(i) be the first derivative of -i**5/20 + i**4/4 - 5*i**3/12 + i**2/4 + 5. Let v(d) = 0. Calculate d.
0, 1, 2
Let y = 19 + -16. Let k(h) be the third derivative of 0*h + 0 - 1/24*h**4 - h**2 + 1/60*h**5 + 0*h**y. Find p, given that k(p) = 0.
0, 1
Let q(t) = -t**3 + 3*t**2 - 2*t - 1. Let y be q(2). Let c(i) = i**2 + 1. Let a(l) = -8*l**2 - 12. Let n(o) = y*a(o) - 10*c(o). What is j in n(j) = 0?
-1, 1
Suppose 3*j = j. Let j + 0*q - 2*q**5 - 14/3*q**3 + 4/3*q**2 + 16/3*q**4 = 0. What is q?
0, 2/3, 1
Let w(x) be the first derivative of 2*x**3/15 - x**2/5 - 4*x/5 - 8. Factor w(l).
2*(l - 2)*(l + 1)/5
Let t(u) = 6*u**5 + u**4 + 17*u**3 + 15*u**2 - 2*u. Let i(b) = -b**5 + b**4 - b**3 - b**2 + b. Let a(j) = 15*i(j) + 3*t(j). Factor a(p).
3*p*(p + 1)**3*(p + 3)
Let k(g) = -g**4 - 19*g**3 + 39*g**2 - 35*g + 10. Let f(d) = 5*d**4 + 75*d**3 - 155*d**2 + 140*d - 40. Let j(i) = -6*f(i) - 25*k(i). Factor j(p).
-5*(p - 2)*(p - 1)**3
Suppose -18*r - 5*j - 4 = -20*r, -4 = -2*r + 2*j. Factor 1/2 + p + 1/2*p**r.
(p + 1)**2/2
Let m(h) be the first derivative of -8*h**5/25 - 3*h**4/5 + 8*h**3/15 + 28. Find a such that m(a) = 0.
-2, 0, 1/2
Let z = -460/7 + 66. Let x = 207/245 - -3/245. Let -z - x*c**2 - 2/7*c**3 - 6/7*c = 0. Calculate c.
-1
Suppose 0 = 4*y - 2*y. Suppose -3*m = 3*i - 30, -5*m = -3*i - y*i - 18. Determine p so that -6*p**2 + 7*p**2 - m*p + 4 + p**2 = 0.
1, 2
Let g(r) = -6*r**3 - 3*r**2 - 3*r. Let c(k) = k**3 - k**2. Let l(s) = 3*c(s) + g(s). Factor l(y).
-3*y*(y + 1)**2
Suppose 0 = -33*t + 31*t + 6. Factor -3/5*c**2 + 0*c + 0 + 3/5*c**t.
3*c**2*(c - 1)/5
Let i = 479/106 - 1/53. Suppose 0*s = j + 4*s + 1, s = 5*j - 16. Solve 3/2*q**4 + 0 + 0*q**j + 3*q - i*q**2 = 0.
-2, 0, 1
Let c(b) be the second derivative of -b**6/1800 + b**5/300 - b**3/3 - 4*b. Let h(p) be the second derivative of c(p). Solve h(a) = 0 for a.
0, 2
Suppose 3*z - 6 - 3 = t, -t = 5*z - 23. Find x such that -1/3*x**t + 1/3*x**2 + 0*x + 0 = 0.
0, 1
Let k = 157 - 4709/30. Let f(c) be the third derivative of -1/105*c**7 + 0*c**4 + 0*c**3 + c**2 + 0*c**6 + 0 + k*c**5 + 0*c. Determine b so that f(b) = 0.
-1, 0, 1
Factor -5*q - 4*q**2 + 0*q - 7*q.
-4*q*(q + 3)
Let n be (30 - -2)/((-4)/(-2)). Suppose -3*d - d = -n. What is i in 9/2*i**2 + i**d + 1/2 - 7/2*i**3 - 5/2*i = 0?
1/2, 1
Let k(x) be the first derivative of x**4/14 - 2*x**3/7 + 2*x**2/7 + 6. Suppose k(g) = 0. What is g?
0, 1, 2
Let v = -4 + 7. Suppose -2*w + 0*w = 0. Factor -8/7*q**5 + w + 0*q + 10/7*q**4 + 0*q**2 - 2/7*q**v.
-2*q**3*(q - 1)*(4*q - 1)/7
Let l = -2 + 2. Let t be 4 - (l + 1 - -1). Factor -1/2*b**5 - 3*b**3 + 0 - 1/2*b + 2*b**t + 2*b**4.
-b*(b - 1)**4/2
Let y(p) be the first derivative of 2*p**3/3 - p**2/4 - 5. Factor y(z).
z*(4*z - 1)/2
Let i(n) be the second derivative of 1/5*n**4 - 4/15*n**3 - 3/50*n**5 + 0 + 3/2*n**2 + 2*n. Let u(w) be the first derivative of i(w). Factor u(c).
-2*(3*c - 2)**2/5
Let a(h) be the first derivative of h**6/24 + h**5/20 - h**4/8 - h**3/6 + h**2/8 + h/4 + 3. Factor a(b).
(b - 1)**2*(b + 1)**3/4
Let r(x) be the first derivative of -x**4/30 - 2*x**3/15 - x**2/5 - 3*x + 5. Let i(o) be the first derivative of r(o). Suppose i(w) = 0. Calculate w.
-1
Let s(i) be the first derivative of -2*i**5/85 + 3*i**4/34 - 4*i**3/51 - 11. Factor s(p).
-2*p**2*(p - 2)*(p - 1)/17
Let 50*u - 25*u - 5*u**2 - 20*u**4 - 20*u**3 - 25*u = 0. What is u?
-1/2, 0
Factor -26*h - 15*h + 20 - 5*h**2 + 56*h.
-5*(h - 4)*(h + 1)
Suppose 0*p**2 + 0 + 0*p**4 + 4/7*p**3 - 2/7*p**5 - 2/7*p = 0. Calculate p.
-1, 0, 1
Solve -24*u**2 + 18*u**3 - 18*u - 2 - 4 + 27*u**4 + 5 - 2 = 0 for u.
-1, -1/3, 1
Factor -4*d**4 + 4*d**2 + 0*d**4 - 8 - 4*d + 8*d**2 + 4*d**3.
-4*(d - 2)*(d - 1)*(d + 1)**2
Let k(r) be the first derivative of -r**7/3780 + r**6/405 - r**5/108 + r**4/54 + r**3 + 2. Let x(v) be the third derivative of k(v). Let x(n) = 0. Calculate n.
1, 2
Let r(m) be the first derivative of -5*m**6/4 - 12*m**5/5 + 3*m**4/2 + 5*m**3 + 3*m**2/4 - 3*m - 1. Find i, given that r(i) = 0.
-1, 2/5, 1
Suppose o - 3*o - 5*q + 9 = 0, -4*o = -2*q - 6. Suppose 0 = 2*b + 2*b. Factor -2/7*w - 2/7*w**o + b.
-2*w*(w + 1)/7
Let s(x) be the third derivative of -x**7/1890 - x**6/1080 + x**5/135 + x**4/54 + 4*x**2. Solve s(h) = 0 for h.
-2, -1, 0, 2
Factor 2/3*q**3 + 1/3 - 1/3*q**4 - 2/3*q + 0*q**2.
-(q - 1)**3*(q + 1)/3
Let s(h) be the second derivative of 2*h**6/15 + 11*h**5/10 + 7*h**4/2 + 16*h**3/3 + 4*h**2 + 5*h. Find j, given that s(j) = 0.
-2, -1, -1/2
Let n be 46/(-6) + (-2)/5. Let v = 42/5 + n. Factor -2/3*x**2 + 1/3*x**5 - v*x + 0*x**3 + 0 + 2/3*x**4.
x*(x - 1)*(x + 1)**3/3
Let m = 13 - 9. Suppose -3*y + m*y - 2 = v, v = 5*y - 10. Factor -2/7 - 2/7*o**3 - 6/7*o**y - 6/7*o.
-2*(o + 1)**3/7
Let h = 9 - 53/6. Let g(o) be the first derivative of 2 - h*o**4 - 2/3*o + 2/9*o**3 + 1/3*o**2. Let g(t) = 0. Calculate t.
-1, 1
Let k be 46/14 - 2/7. Suppose -4*d - 3*i = 1, -2*i = d - 0*i + 4. Factor 2/7*o + 6/7*o**d + 6/7*o**k + 2/7*o**4 + 0.
2*o*(o + 1)**3/7
Let s(g) be the third derivative of -g**7/1260 + g**5/60 + g**4/24 - 2*g**2. Let u(c) be the second derivative of s(c). Find f, given that u(f) = 0.
-1, 1
Suppose 4/13 - 2/13*b**3 + 6/13*b**2 - 2/13*b**4 + 10/13*b = 0. Calculate b.
-1, 2
Let v(i) be the first derivative of -4*i**3/27 + 2*i**2/3 + 4. Factor v(n).
-4*n*(n - 3)/9
Let s(l) = -l**2 - 2*l + 1. Let r be s(-4). Let o = r + 10. Let -k**4 + 2/3*k**2 + 1/3 + 2/3*k**o + 1/3*k**5 - k = 0. What is k?
-1, 1
Let t(z) be the second derivative of z**4/2 + 13*z**3/3 + 6*z**2 + 3*z. Let f(v) = -2*v**2 - 9*v - 4. Let h(d) = 8*f(d) + 3*t(d). Determine k so that h(k) = 0.
-2, -1
Factor 6/5*y - 9/5*y**2 - 3*y**3 + 0.
-3*y*(y + 1)*(5*y - 2)/5
Suppose 9 = -3*z + 3*x + 2*x, -2*x = 4*z - 14. Factor 0*m**2 - 3 + 6*m**2 - m**4 - z*m**4.
-3*(m - 1)**2*(m + 1)**2
Let n be 2 + 17/(-6) - 45/(-30). Find j such that -n*j**5 - 2*j**3 + 0*j - 2/3*j**2 + 0 - 2*j**4 = 0.
-1, 0
Let n(a) = -5*a**2 + 7. Let o(j) = 10*j**2 - 15. Let u(g) = 5*n(g) + 2*o(g). What is s in u(s) = 0?
-1, 1
Suppose 3*t - 20 = -2*t. Suppose 0 = -y + t. Find a, given that 0*a**y + 3*a**5 - 1 - 2*a**5 - a**4 + 2*a**2 + a - 2*a**3 = 0.
-1, 1
Suppose -2*l - 2 = -3*l. Factor -2*k**l - 3*k**3 + 4*k**2 + k**2.
-3*k**2*(k - 1)
Let b be (-8 + (14 - 4))*2/3. Factor -2 - 2/9*a**2 - b*a.
-2*(a + 3)**2/9
Factor 3*y**2 - y - 77*y**3 + 80*y**3 + y.
3*y**2*(y + 1)
Let u(b) be the first derivative of -1/10*b**5 - 4/3*b**3 + 3/4*b**4 - 3/2*b**2 + 9/2*b + 9. Factor u(d).
-(d - 3)**2*(d - 1)*(d + 1)/2
Suppose 3*o + 24 = 2*s + s, -8 = 4*s + 4*o. Factor -3*g**3 + 3 - 3*g + 5*g**3 - s*g**2 + g**3 + 0*g.
3*(g - 1)**2*(g + 1)
Suppose -y**2 + 1/2*y**5 + 1/2*y**4 + 1/2 + 1/2*y - y**3 = 0. What is y?
-1, 1
Determine u, given that 0 + 0*u + 1/5*u**2 = 0.
0
Let h(n) be the second derivative of n**5/10 + n**3/2 + 3*n**2/2 - n. Let m(j) = 7*j**3 + 11*j + 11. Let p(l) = -22*h(l) + 6*m(l). Let p(b) = 0. What is b?
0
Let i(t) be the first derivative of 3*t**4/4 + 4*t**3 - 3*t**2/2 - 12*t + 4. Find b such that i(b) = 0.
-4, -1, 1
Let m(u) be the first derivative of 3 - 1/3*u**3 + 0*u**2 + u. Factor m(k).
-(k - 1)*(k + 1)
Let m(v) be the third derivative of v**8/6720 + v**7/2520 - v**6/720 + v**5/12 - v**