 w be (-91)/(-105) - 3/15. Solve -2/3 + w*i**2 - 2/3*i**3 + h*i = 0.
-1, 1
Find h such that 2/5*h**2 - 2/5*h - 4/5 = 0.
-1, 2
Let -32/7*h**3 + 16/7*h**5 + 4/7*h**4 + 4/7 + 16/7*h - 8/7*h**2 = 0. What is h?
-1, -1/4, 1
Let u = 31 + -29. Factor 2/3*y**5 + 0 + 2/3*y**4 + 0*y - 2/3*y**u - 2/3*y**3.
2*y**2*(y - 1)*(y + 1)**2/3
Let c(j) = -j + 1. Let r be c(-1). Suppose 3*l + r = -5*w - 1, -4*w + 5*l = -5. Factor 0*i + w - 1/3*i**2 - 1/3*i**5 + 1/3*i**3 + 1/3*i**4.
-i**2*(i - 1)**2*(i + 1)/3
Factor 0 + 0*n**2 + 0*n - 2/9*n**3.
-2*n**3/9
Let k = -10 + -18. Let z be (-74)/k - 9/6. Determine l, given that -z - 16/7*l - 2/7*l**2 - 2/7*l**5 + 2/7*l**4 + 10/7*l**3 = 0.
-1, 2
Let q(d) be the second derivative of d**10/15120 - d**9/3780 + d**7/630 - d**6/360 - d**4/4 - 2*d. Let k(j) be the third derivative of q(j). Factor k(t).
2*t*(t - 1)**3*(t + 1)
Let q(b) be the first derivative of b**9/12096 - b**8/2240 + b**7/1120 - b**6/1440 - b**3/3 - 2. Let u(l) be the third derivative of q(l). Factor u(a).
a**2*(a - 1)**3/4
Let f(w) be the second derivative of -2*w**6/45 + 8*w**4/9 - 32*w**2/3 + 16*w. Let f(r) = 0. Calculate r.
-2, 2
Factor 2/11*z**4 + 0 + 0*z - 6/11*z**3 + 4/11*z**2.
2*z**2*(z - 2)*(z - 1)/11
Solve 25*x**3 - 14*x**2 - 3*x**4 - 7*x**3 - 3*x**5 + 4*x - 7*x**4 + 5*x**5 = 0 for x.
0, 1, 2
Let f(t) be the first derivative of 2*t**3/27 - 29. Factor f(z).
2*z**2/9
Let l = 581252/37609 - 2/3419. Solve l*m**3 + 172/11*m**2 - 16/11 - 8/11*m + 42/11*m**4 = 0.
-2, -1/3, 2/7
Let a(p) be the second derivative of -p**4/4 + 2*p**3 + 15*p**2/2 - 10*p. Factor a(s).
-3*(s - 5)*(s + 1)
Let c(b) = -3 + 8*b + 3 - b**2 - 4 - 5. Let l be c(6). Factor 0 + 2/3*a**2 - 1/3*a - 1/3*a**l.
-a*(a - 1)**2/3
Let j(q) = -q - 5. Let b be j(-5). Let m be b - 1*(-1)/4. Let -m - 1/2*y + 1/2*y**3 + 0*y**2 + 1/4*y**4 = 0. Calculate y.
-1, 1
Let n(s) be the second derivative of s**5/80 + 5*s**4/96 + s**3/48 - s**2/8 - 2*s. Factor n(w).
(w + 1)*(w + 2)*(2*w - 1)/8
Let s = 54 + -47. Let j(y) be the third derivative of 1/945*y**s + 3*y**2 + 0*y + 0*y**3 + 0*y**6 + 0 + 0*y**4 - 1/270*y**5. Find c such that j(c) = 0.
-1, 0, 1
Let g(i) be the first derivative of -i**4/7 + 4*i**3/7 - 16*i/7 - 3. Solve g(h) = 0 for h.
-1, 2
Suppose -3*c + 3*z = -2*c + 57, -4*z = 4. Let i be (-129)/(-45) - 8/c. Determine m so that 1/3 - 1/3*m**2 - 1/3*m + 1/3*m**i = 0.
-1, 1
Suppose 3*s = h + 13, 5*s - 7 - 9 = -4*h. Factor -1/5*g**s + 0 + 0*g - 2/5*g**3 - 1/5*g**2.
-g**2*(g + 1)**2/5
Let b(d) be the second derivative of 5*d**7/42 - 4*d**6/3 + 21*d**5/4 - 35*d**4/6 - 50*d**3/3 + 60*d**2 - 24*d. Factor b(v).
5*(v - 3)*(v - 2)**3*(v + 1)
Let r = -18/5 + 26/5. Let 0*k - 16/5*k**3 + r*k**2 + 0 + 2*k**4 - 2/5*k**5 = 0. What is k?
0, 1, 2
Let h(o) be the third derivative of -o**7/3780 - o**6/1620 - 2*o**3/3 + 2*o**2. Let z(c) be the first derivative of h(c). Factor z(u).
-2*u**2*(u + 1)/9
Determine b, given that -4*b**2 + b + 4 - b**3 - 3*b**3 + 0 + 3*b = 0.
-1, 1
Let y be 5/((-10)/(-3))*2. Suppose 2*n - y*u - 12 = 0, n + 2*u + 7 = 2*n. Factor 19/2*r**4 + 7/2*r**5 + 0 - r + 1/2*r**2 + 15/2*r**n.
r*(r + 1)**3*(7*r - 2)/2
Let f = 15 + -9. Suppose f = 5*x - 4. Determine c, given that -2 - 2 + 10*c**x + 5*c + c = 0.
-1, 2/5
Suppose 22 - 18 = h. Let o(c) be the second derivative of 2/33*c**3 - 1/66*c**h - 1/11*c**2 - 2*c + 0. Find r such that o(r) = 0.
1
Let l = 9 - 4. Suppose 0 = -l*u + 1 + 9. What is s in -2/7*s**u - 2/7*s**3 + 0*s + 0 = 0?
-1, 0
Let d(b) be the first derivative of -3 - b**2 - 2/3*b**3 + 4*b. Factor d(j).
-2*(j - 1)*(j + 2)
Let v(h) be the second derivative of -h + 0 - 1/80*h**5 + 1/2*h**2 + 0*h**3 - 1/16*h**4. Determine y, given that v(y) = 0.
-2, 1
Suppose 15 = 3*i - 3*q, 2*q - 2 = -4*i + 2*i. Let n(c) be the first derivative of -2/5*c + 1/5*c**2 + 2/15*c**i + 3 - 1/10*c**4. Let n(s) = 0. Calculate s.
-1, 1
Let v = -12 + 15. Let u = -1 + v. Factor s + 1/3*s**u + 2/3.
(s + 1)*(s + 2)/3
Let h(s) be the first derivative of 21/10*s**5 + 9/8*s**4 - 5/4*s**6 + 2 + 0*s + 3/2*s**2 - 7/2*s**3. Determine g so that h(g) = 0.
-1, 0, 2/5, 1
Let t(x) be the first derivative of -8*x**3/9 + 17*x**2/3 - 8*x/3 + 9. Solve t(j) = 0.
1/4, 4
Let b = -2251/11 - -205. Suppose -2/11*a**4 + b*a**3 + 0*a - 2/11*a**2 + 0 = 0. Calculate a.
0, 1
Factor 0*k - 3/7*k**3 + 0 - 3/7*k**2.
-3*k**2*(k + 1)/7
Solve -5/2*a**2 - a - 1/2*a**4 - 2*a**3 + 0 = 0.
-2, -1, 0
Factor -y**3 + 14*y**2 + 5*y**3 + 17*y**2 - 23*y**2.
4*y**2*(y + 2)
Factor -2*c**3 + 0*c + 3/2*c**2 + 0 + 1/2*c**4.
c**2*(c - 3)*(c - 1)/2
Suppose 5*o = 7 + 8. Let -m**3 - 4 - m**2 + o - 3*m - 4*m**2 + 10 = 0. What is m?
-3, 1
Let y(u) = -6*u**5 + 4*u**4 + 2*u**3 - 8*u**2 - 4. Let x(a) = 5*a**5 - 3*a**4 - 3*a**3 + 7*a**2 + 3. Let d(k) = 4*x(k) + 3*y(k). Suppose d(v) = 0. Calculate v.
-2, 0, 1
Let z(j) be the second derivative of j**5/35 + j**4/21 - 5*j. What is o in z(o) = 0?
-1, 0
Let o(t) be the third derivative of 0 + 0*t + 1/3*t**4 + 1/15*t**5 - 3*t**2 + 2/3*t**3. Factor o(p).
4*(p + 1)**2
Let 5*a - 3*a - 13*a + 3 + 3*a**2 + 5*a = 0. Calculate a.
1
Let g be 0*(3 - (-10)/(-4)). Find t such that g*t + 2*t - 3*t**3 + t = 0.
-1, 0, 1
Factor 10/3*w + 0 + 2/3*w**2.
2*w*(w + 5)/3
Let f(z) be the first derivative of -z**4/2 + 2*z**3 - 8*z - 1. Factor f(q).
-2*(q - 2)**2*(q + 1)
Let v(x) be the first derivative of -1 + 0*x - 1/2*x**2 - 1/3*x**3. Factor v(f).
-f*(f + 1)
Suppose 2 - 1 + 2 + 25*q**2 - 24*q**2 - 4*q = 0. What is q?
1, 3
Let a(y) = 25*y + 52. Let v be a(-2). Factor 2/9*z**4 + 0 + 0*z - 2/9*z**5 + 0*z**v + 0*z**3.
-2*z**4*(z - 1)/9
Let q be (1/(-3))/(1/(-18)). Suppose -k - 15 = -q*k. Factor -11*m**4 + 13*m**4 + k*m**5 - 2*m**5 + m**5.
2*m**4*(m + 1)
Let k(x) be the second derivative of 0 - 1/273*x**7 + 1/39*x**4 - 1/65*x**5 + 1/13*x**2 - x - 1/65*x**6 + 1/13*x**3. Factor k(g).
-2*(g - 1)*(g + 1)**4/13
Suppose 4*i = -0*i. Suppose i*l = 4*l. Factor 3/2*y**2 - 3/2*y**3 + 1/2*y**4 + l - 1/2*y.
y*(y - 1)**3/2
Factor -1/4*y**5 + 0*y + 0*y**2 + 0 + 1/4*y**3 + 0*y**4.
-y**3*(y - 1)*(y + 1)/4
Let w(t) be the first derivative of -t**9/2016 + t**7/280 - t**5/80 + 2*t**3/3 - 1. Let b(f) be the third derivative of w(f). What is r in b(r) = 0?
-1, 0, 1
Let m(n) = -n**3 - 2*n**2 + 3*n + 5. Let q be m(-3). Suppose -2*o - 9 = -5*o. Factor -1 + k + o*k**q - 2*k**3 - k**4 + 2*k**2 + 0*k**2 - 2*k**5.
(k - 1)**3*(k + 1)**2
Let l(j) be the third derivative of -j**5/45 + 7*j**4/36 - j**3/3 + j**2. Suppose l(x) = 0. Calculate x.
1/2, 3
Let o(x) be the first derivative of -x**3/12 + x**2/2 + 5*x/4 + 22. What is g in o(g) = 0?
-1, 5
Let p = 69 - 67. Let r(i) be the third derivative of -p*i**2 + 0 + 1/30*i**6 + 1/105*i**7 + 0*i**3 - 1/6*i**4 - 1/30*i**5 + 0*i. Factor r(b).
2*b*(b - 1)*(b + 1)*(b + 2)
Let v(g) be the second derivative of -g**4/4 - g**3 + 3*g. Solve v(r) = 0.
-2, 0
Let l(z) be the third derivative of z**7/1260 + z**6/120 + z**4/24 - 3*z**2. Let i(f) be the second derivative of l(f). Factor i(k).
2*k*(k + 3)
Let y(f) = -4*f**3 + 3*f**2 + 4*f + 4. Suppose -2*t + j = -10, -6 = -3*t + 2*j + 10. Let c(z) = z**3 - z**2 - z - 1. Let g(l) = t*y(l) + 14*c(l). Factor g(s).
-2*(s - 1)*(s + 1)**2
Let d be (-19)/3 - 8/(-24). Let s = -6 - d. Factor 2/7*i**3 + 0*i**2 - 2/7*i + s.
2*i*(i - 1)*(i + 1)/7
Let c(i) be the first derivative of 0*i + 0*i**2 + 4/5*i**5 - 2 + 0*i**3 + 1/3*i**6 + 1/2*i**4. Factor c(q).
2*q**3*(q + 1)**2
Let i be 1 - (0 + -1 + 2). What is c in 0 + 2/9*c**2 + i*c = 0?
0
Suppose 14 = 4*q - 4*w - 6, 0 = -4*q - 4*w - 4. Let h be 10/q*18/315. What is a in 2/7 - 2/7*a**2 - h*a + 2/7*a**3 = 0?
-1, 1
Factor -24 + 2*i**4 + i**4 + 38*i - 15*i**3 - 11*i + 18*i**2 - 15*i.
3*(i - 2)**3*(i + 1)
Suppose -n - 4*n = y - 25, 25 = 5*n - 4*y. Factor 1/4*k**2 + 9/4*k**4 + k**n + 3/2*k**3 + 0*k + 0.
k**2*(k + 1)**2*(4*k + 1)/4
Let g = 9 + -18. Let h = g - -9. Suppose 1/2*w**2 + h*w + 0 = 0. What is w?
0
Find y such that 15/2*y**3 + 5/2*y - 15/2*y**2 - 5/2*y**4 + 0 = 0.
0, 1
Let t(b) = 5*b + 4. Let l be t(0). Let n(m) be the second derivative of -3*m - 1/30*m**l + 0 + 0*m**2 - 1/50*m**5 + 2/15*m**3. Find a, given that n(a) = 0.
-2, 0, 1
Let p be 1*(3/45 + 0). Let m(x) be the first derivative of -1 + 2/5*x + 1/2*x**2 - 1/10*x**4 + p*x**3. Let m(o) = 0. What is o?
-1, -1/2, 2
Let s(i) be the first 