(u + 1)**2/3
Let q = -6495454522/3115 - -2085219. Let l = 1/445 + q. What is r in 8/7 + l*r**4 + 32/7*r + 4*r**3 + 46/7*r**2 = 0?
-2, -1, -2/3
Suppose 5*u + 5*b = 0, 0 = 5*u + 156*b - 157*b - 12. Factor -1/3 - 1/6*a + 1/6*a**u.
(a - 2)*(a + 1)/6
Let d be 2 + -1 - (0 + -2). Determine k, given that -3 + 6*k**2 + 2 - 4*k + d - 4*k**2 = 0.
1
Let g(s) = -s**2 + 6*s - 5. Let z(t) = t - 1. Let n(i) = g(i) - 5*z(i). Let d be n(1). Factor 0*j + d - 2/5*j**2.
-2*j**2/5
Solve n**2 + 33*n + n**2 + 6 - 25*n = 0 for n.
-3, -1
Let s(y) be the third derivative of -y**8/448 + y**7/70 + 3*y**6/80 - y**5/20 - 5*y**4/32 - 2*y**2 - 11*y. Determine d so that s(d) = 0.
-1, 0, 1, 5
Let s = 1158/5 - 231. Factor 0*r - 2/5*r**2 - 1/5*r**3 + 0 + s*r**4.
r**2*(r - 1)*(3*r + 2)/5
What is j in 4/5*j**4 + 24/5*j**3 + 16/5 + 52/5*j**2 + 48/5*j = 0?
-2, -1
Let j(l) = -l**3 + 4*l**2 + 5*l - 4. Let a be j(5). Let y(r) = r + 8. Let s be y(a). Factor o**3 + 2*o**5 + 2*o**s - o**3.
2*o**4*(o + 1)
Let p(g) be the second derivative of -g**7/7560 - g**6/1080 - g**5/360 - g**4/3 + 3*g. Let n(z) be the third derivative of p(z). Suppose n(j) = 0. Calculate j.
-1
Let z(f) be the third derivative of -f**9/1512 + f**8/210 - f**7/84 + f**6/90 - f**3/3 - 7*f**2. Let t(r) be the first derivative of z(r). Solve t(x) = 0.
0, 1, 2
Let d(y) be the second derivative of 0*y**3 + 4*y - 1/50*y**5 + 0*y**4 + 1/75*y**6 + 0*y**2 + 0. Suppose d(b) = 0. What is b?
0, 1
Find t, given that -1/2*t**3 + 15/2*t**2 + 125/2 - 75/2*t = 0.
5
Factor -4/9 - 2/9*k**2 + 2/3*k.
-2*(k - 2)*(k - 1)/9
Let v(k) be the second derivative of -1/55*k**5 + 0 - 7*k + 0*k**2 + 1/66*k**4 + 1/165*k**6 + 0*k**3. Suppose v(z) = 0. Calculate z.
0, 1
Let g = 110 + -108. Factor 0 + 2/3*l**3 - g*l**2 + 4/3*l.
2*l*(l - 2)*(l - 1)/3
Solve -4/11*p - 2/11 - 2/11*p**2 = 0.
-1
Let 2*d**2 - 22*d + 20*d - d**2 = 0. What is d?
0, 2
Let u(n) be the second derivative of -5*n**5/8 + 5*n**4/12 + 25*n**3/12 - 5*n**2/2 + 9*n. Find f, given that u(f) = 0.
-1, 2/5, 1
Factor -8/9*f - 1/9*f**2 + 0.
-f*(f + 8)/9
Let u(g) be the third derivative of 3/4*g**4 + 1/35*g**7 + 1/2*g**5 + 11/60*g**6 + 0 + 3*g**2 + 0*g + 2/3*g**3. Suppose u(s) = 0. What is s?
-1, -2/3
Let s(h) = 2*h**2 - h - 4. Suppose 5*f - 2 = 8. Let q be s(f). Factor 3*b**3 + 1/3*b - 4/3*b**4 - q*b**2 + 0.
-b*(b - 1)**2*(4*b - 1)/3
Let u(f) = -2*f. Let g be u(0). Let b(z) be the third derivative of 0*z + g - 1/30*z**7 + 7/60*z**5 + z**2 - 1/60*z**6 + 0*z**3 + 1/12*z**4. Factor b(k).
-k*(k - 1)*(k + 1)*(7*k + 2)
Let i(d) be the first derivative of d**4/8 - 3*d**2/4 + d + 31. Factor i(m).
(m - 1)**2*(m + 2)/2
Let f(j) = -j**3 - 11*j**2 - 9*j + 8. Let m be f(-10). Let c be ((-1)/(-3))/(m + 3). What is b in 0 - 2/3*b**2 - c*b - 1/3*b**3 = 0?
-1, 0
Suppose -4*h = 4*n - 12, 2*n - 3 = -n. Let r = 82 + -79. Suppose 2/3*q**r + 7/3*q**4 - 1/3 - h*q**2 - 5/3*q + q**5 = 0. Calculate q.
-1, -1/3, 1
Let z = 64/3 + -21. Let h(d) be the second derivative of d**2 - 3*d - 1/21*d**7 + d**3 - 1/5*d**5 + 0 + z*d**4 - 1/5*d**6. Factor h(w).
-2*(w - 1)*(w + 1)**4
Suppose -1/3*k**4 + 1/3*k**5 + 1/3*k**2 - 1/3*k**3 + 0*k + 0 = 0. Calculate k.
-1, 0, 1
Let x be (4 + -1)*8/(-12). Let d be x - (1 + (-34)/6). Determine h, given that -8/3*h**3 - 2/3*h**4 - 2/3 - 4*h**2 - d*h = 0.
-1
Let -5*w**2 + 6*w**3 - w**2 - 3*w**2 - w**4 = 0. Calculate w.
0, 3
Let v(o) be the first derivative of -o**4/2 - 11*o**3/3 - 2*o**2 + 5*o + 32. Solve v(u) = 0 for u.
-5, -1, 1/2
Let m(h) be the first derivative of h**5/300 - h**4/40 + h**3/15 - h**2/2 + 2. Let s(x) be the second derivative of m(x). Solve s(k) = 0 for k.
1, 2
Suppose -15 = r - 5*r + j, -r + 15 = 2*j. Suppose -2*v + 2*f = -0*f - 16, r*f = -20. Factor 1 + v*d - 1 - 2*d - 2*d**2.
-2*d*(d - 1)
Let o(r) be the third derivative of r**7/560 - r**6/80 + r**5/32 - r**4/32 + 15*r**2. Factor o(z).
3*z*(z - 2)*(z - 1)**2/8
Let k(w) be the second derivative of 2*w**7/189 - w**6/45 - w**5/90 + w**4/18 - w**3/27 - 4*w. Suppose k(q) = 0. Calculate q.
-1, 0, 1/2, 1
Let x = 4 + 8. Let a be ((-4)/(-5))/(x/10). Let 0 + a*v**2 + 0*v + 2/3*v**3 = 0. Calculate v.
-1, 0
Let q = -3/14 + 5/7. Factor -1/2*j**5 + 0 + 0*j - 3/2*j**3 + q*j**2 + 3/2*j**4.
-j**2*(j - 1)**3/2
Suppose 10/3*k**3 + 8*k - 8*k**2 - 8/3 - 1/2*k**4 = 0. Calculate k.
2/3, 2
Factor -5 - 171*r + 161*r + 0 - 5*r**2.
-5*(r + 1)**2
Let x(q) be the first derivative of -q**6/9 - q**5/10 + q**4/9 + 4*q + 2. Let z(r) be the first derivative of x(r). Factor z(n).
-2*n**2*(n + 1)*(5*n - 2)/3
Let s(y) be the second derivative of -y**6/15 - 2*y**5/5 - y**4/6 + 2*y**3 - 12*y. Factor s(w).
-2*w*(w - 1)*(w + 2)*(w + 3)
Suppose 10*d + 4 = 11*d. Let h be (-6)/d*88/(-66). What is u in 1/3*u**h - 1/3*u - 2/3 = 0?
-1, 2
Let g = -70/13 + 179/26. Factor -g*f**3 + 0*f - f**2 + 0.
-f**2*(3*f + 2)/2
Factor -1/5*u**5 + 0*u**2 + 4/5*u**4 + 0*u - 3/5*u**3 + 0.
-u**3*(u - 3)*(u - 1)/5
Let p(k) = k**3 - 4*k**2 + 5*k - 5. Let g be p(2). Let m be (-3)/(6/4*g). Suppose 2/3*s + 0 + m*s**2 = 0. Calculate s.
-1, 0
Factor -16/7 + 1/7*o**3 + 8/7*o + o**2.
(o - 1)*(o + 4)**2/7
Solve 1/4 + 1/4*u**2 + 1/2*u = 0.
-1
Let n(p) be the first derivative of 0*p**2 + p**3 + 1/165*p**5 + 0*p - 1/33*p**4 - 1/1980*p**6 - 1. Let r(b) be the third derivative of n(b). Factor r(a).
-2*(a - 2)**2/11
Suppose 4*m + 1 = 3*y - 0, y - 1 = m. Let z(u) be the first derivative of 0*u - 1/9*u**3 + 1/12*u**4 + 0*u**m - 1. Factor z(w).
w**2*(w - 1)/3
Let j(t) be the first derivative of 0*t**5 + 2 - 3/20*t**4 + 0*t + 1/10*t**6 + 0*t**3 + 0*t**2. Suppose j(d) = 0. Calculate d.
-1, 0, 1
Let c(y) be the first derivative of -3 - 1/3*y**3 - y**2 - y. Find j such that c(j) = 0.
-1
Let f(k) be the second derivative of -3*k**5/10 + 2*k**4/3 + 4*k**3/3 - 6*k. Let f(j) = 0. Calculate j.
-2/3, 0, 2
Suppose 3 - 9*g - 4*g**2 + 17*g - 3 = 0. Calculate g.
0, 2
Let m = 0 + 10. Factor 5*u + 0*u**5 - m*u**3 - 3*u**5 - 2 + 4 - 10*u**4.
-(u + 1)**4*(3*u - 2)
Suppose -16*w + 11*w + 15 = 0. Factor 0 + 1/2*f**4 + 1/2*f**2 - f**w + 0*f.
f**2*(f - 1)**2/2
Let s be 5/(-10) + 51/54. Factor -s*b**2 + 10/9*b**3 - 8/9*b**4 + 0*b + 0 + 2/9*b**5.
2*b**2*(b - 2)*(b - 1)**2/9
Let w(o) be the first derivative of -o**6/15 - 2*o**5/25 + o**4/5 + 4*o**3/15 - o**2/5 - 2*o/5 - 16. Factor w(l).
-2*(l - 1)**2*(l + 1)**3/5
Let d be (-1 + 14299)*(-12)/168. Let v = -1019 - d. Factor -v*b + 2/7*b**2 + 10/7*b**3 - 2/7*b**4 - 2/7*b**5 + 8/7.
-2*(b - 1)**3*(b + 2)**2/7
Let b = -5 + 22. Suppose 2*q - b = 3*d - 4, 6 = q - 2*d. Find y such that -50*y**2 + y**5 + 38*y**3 + y**5 - q + 0*y**5 - 14*y**4 + 43*y - 11*y = 0.
1, 2
Factor -4/13 - 10/13*y**3 - 2/13*y**4 - 18/13*y**2 - 14/13*y.
-2*(y + 1)**3*(y + 2)/13
Suppose -40*k**4 + 12*k**5 + 80*k + 13*k**5 + 120*k**3 - 160*k**2 - 20*k**5 = 0. What is k?
0, 2
Let k = 595 - 592. Solve 3*d**4 + 3/2*d - 3*d**2 + 0 - 3/2*d**5 + 0*d**k = 0.
-1, 0, 1
Let m(j) be the first derivative of j**2/2 - j + 1. Let h be m(4). Factor 2*w + 7*w**2 - 21*w**2 - 10*w**h - w + 8*w**4 + 3*w.
2*w*(w - 2)*(w + 1)*(4*w - 1)
Let f(q) = -q + 1. Let d(m) = -m + 0 + 0*m - m**2 - 2 + 4*m**2. Let p(r) = d(r) - f(r). Suppose p(v) = 0. Calculate v.
-1, 1
Let p be (9/(-60))/((-452)/112 + 4). Find y, given that -p*y**2 - 6/5 + 27/5*y = 0.
2/7, 1
Let y(g) = -g**2 + 3*g. Let p(j) = -2*j**2 + 7*j - 1. Suppose 3*v = 2*s + 11, 0 = 5*s - 3*s - 5*v + 21. Let l(r) = s*p(r) - 5*y(r). Solve l(h) = 0.
-1, 2
Factor 2/5*x**5 - 6/5*x**3 - 4/5*x + 0 - 2/5*x**4 + 2*x**2.
2*x*(x - 1)**3*(x + 2)/5
Let p(u) be the third derivative of u**5/30 - u**4/3 + 4*u**3/3 - 10*u**2. Factor p(s).
2*(s - 2)**2
What is t in 3*t**2 + 5*t**2 + 4*t**4 + 5*t**3 - 17*t**3 = 0?
0, 1, 2
Let q(u) be the third derivative of u**6/180 - u**5/45 + 25*u**2. Factor q(m).
2*m**2*(m - 2)/3
Let r = -8 - -14. Let c(d) = 29*d**3 - 16*d**2 + 4*d. Let s(m) = 14*m**3 - 8*m**2 + 2*m. Let u(h) = r*c(h) - 13*s(h). Factor u(k).
-2*k*(2*k - 1)**2
Suppose k = 5*m + 8, 0*m + 10 = 4*k + 2*m. Suppose k + 9 = 4*o. Determine r so that -1 + 2*r**3 + 0*r**4 + r**4 - 2*r + 0*r**o = 0.
-1, 1
Let v(t) be the first derivative of -11*t**4/20 - 4*t**3/3 - 7*t**2/10 + 2*t/5 - 6. Factor v(o).
-(o + 1)**2*(11*o - 2)/5
Let n(o) be the second derivative of 5*o**7/42 + o**6/3 - 3*o**5/4 + 62*o. Solve n(f) = 0.
-3, 0, 1
Let 