/2*s**3 + z + s**2 - 7/2*s**5 = 0. What is s?
0, 2/7, 1
Find o such that -12*o - 125 + 1581*o**2 - 1586*o**2 - 38*o = 0.
-5
Suppose 0 = 8*m - 14*m + 30. Solve 2/3*r**m + 4/3 - 32/9*r**4 + 16/3*r**3 - 4/3*r**2 - 22/9*r = 0.
-2/3, 1, 3
Let m = -5 - -9. Suppose -m*n + 4 = 4*k, 2*k + 6 = 2. Find w, given that 3/2*w**4 + 3/2*w**n + 0 + 0*w + 1/2*w**5 + 1/2*w**2 = 0.
-1, 0
Let g(t) be the second derivative of -t**6/240 - t**5/240 + t**3/2 - 2*t. Let i(q) be the second derivative of g(q). Factor i(a).
-a*(3*a + 1)/2
Let i(s) be the third derivative of 0*s**3 - 1/540*s**6 - 2*s**2 + 0 - 1/108*s**4 + 0*s - 1/135*s**5. Determine u so that i(u) = 0.
-1, 0
Let h(d) = 2*d**3 + 10*d**2 + 16*d - 14. Let n(m) = -m**2 - m + 1. Let u(s) = -2*h(s) - 28*n(s). Factor u(w).
-4*w*(w - 1)**2
Let d(l) be the third derivative of l**8/112 + l**7/10 + 9*l**6/20 + l**5 + l**4 - 7*l**2. Let d(h) = 0. Calculate h.
-2, -1, 0
Let p be (-3)/(((-10)/6)/5). Suppose 1 - p = -w. Factor 4*h + w + 7*h - 6*h**2 - 3*h.
-2*(h - 2)*(3*h + 2)
Let t = -3/16 - -63/80. What is n in -12/5*n + t*n**2 + 12/5 = 0?
2
Determine w so that 0 - 2/9*w - 4/9*w**2 - 2/9*w**3 = 0.
-1, 0
Let l(i) be the first derivative of 6*i**5/65 + 2*i**4/13 - 8*i**3/39 + 42. Factor l(k).
2*k**2*(k + 2)*(3*k - 2)/13
Let s be 0/((6/9)/((-8)/(-12))). Let z be (-2)/(-8)*24/9. Factor -1/3*t**3 - z*t**2 - 1/3*t + s.
-t*(t + 1)**2/3
Factor 5 - 3 - 4*w + 2 - 2*w + 2*w**2.
2*(w - 2)*(w - 1)
Suppose -2*a = -7*a + 3*d + 25, -5*a = -4*d - 25. Find j such that -a*j - j + 4*j**2 + 2*j + 0*j = 0.
0, 1
Factor 0 - 10/11*x**2 + 2/11*x + 8/11*x**3.
2*x*(x - 1)*(4*x - 1)/11
Let v(j) = -5*j**4 - 5*j**3 + 5*j**2 - 7*j - 6. Let d(f) = -f**4 - f**3 + f**2 - f - 1. Let r(x) = -6*d(x) + v(x). Factor r(i).
i*(i - 1)*(i + 1)**2
Let d be (-222)/(-21) + 3/7. Suppose -d*q + 13*q = 0. Factor -6*b**3 + 0*b + q + 15/2*b**4 + 3/2*b**2 - 3*b**5.
-3*b**2*(b - 1)**2*(2*b - 1)/2
Let m be (-2 - -3)*(0 - -2). Let z be m/(-5) - 96/(-15). Factor z*r**3 + 2*r**4 - 4*r**3 - 4*r**4.
-2*r**3*(r - 1)
Let c = -10 - -5. Let q be c/(-30) + (-17)/(-42). Let -2/7*s**2 + q*s - 2/7 = 0. Calculate s.
1
Let o(b) = -3*b**4 - 12*b**3 + 24*b**2 - 9*b. Let s(m) = m**4 + 3*m**3 - 6*m**2 + 2*m. Let g(u) = 2*o(u) + 9*s(u). Factor g(i).
3*i**2*(i - 1)*(i + 2)
Let v(y) be the second derivative of -9*y**7/350 + 3*y**6/200 + 2*y**5/25 - y**4/10 + 5*y**2/2 + 5*y. Let c(m) be the first derivative of v(m). Factor c(r).
-3*r*(r + 1)*(3*r - 2)**2/5
Let n(z) be the second derivative of z**6/1260 + z**5/140 + z**4/42 - z**3/2 - z. Let h(v) be the second derivative of n(v). Factor h(a).
2*(a + 1)*(a + 2)/7
Find a such that -64/5 - 1/5*a**3 - 48/5*a - 12/5*a**2 = 0.
-4
Suppose 0 = -8*y - 53 + 85. Suppose -2/13*v**y + 4/13*v**3 - 4/13*v + 2/13 + 0*v**2 = 0. What is v?
-1, 1
Solve -3/7*n**2 + 15/7*n - 12/7 = 0 for n.
1, 4
Let i(v) = v**3 - v**2 - v + 1. Let q be i(1). Let o be (-6 + q)/(6/(-4)). Find z, given that -8/5*z - 8/5*z**3 + 2/5*z**o + 12/5*z**2 + 2/5 = 0.
1
Factor 0 - 2/5*i**3 - 8/5*i**2 - 8/5*i.
-2*i*(i + 2)**2/5
Let r(z) be the third derivative of z**6/210 + z**5/35 - z**4/42 - 2*z**3/7 - 16*z**2. Factor r(l).
4*(l - 1)*(l + 1)*(l + 3)/7
Let w(p) be the second derivative of -2*p**6/105 + 2*p**4/21 - 2*p**2/7 + 9*p. Suppose w(y) = 0. What is y?
-1, 1
Let l(m) be the first derivative of 2*m**5/55 + 4*m**4/11 + 32*m**3/33 - 15. Factor l(v).
2*v**2*(v + 4)**2/11
Let o(i) = -i**4 + 16*i**3 - 15*i**2. Let d(t) = t**4 - t**3. Let a(u) = -6*d(u) - o(u). Factor a(v).
-5*v**2*(v - 1)*(v + 3)
Let u(f) be the third derivative of f**6/180 + f**5/9 + 25*f**4/36 - 47*f**2. Factor u(r).
2*r*(r + 5)**2/3
Let x be -3 + (57/(-9))/(-1). What is p in -1/3 - x*p - 25/3*p**2 = 0?
-1/5
Let i be 4/6 - 4/(-3). Let s be 13 - 9 - (-33)/i. Find w, given that -24*w**3 - 15/2*w - s*w**2 - 10*w**4 - 1 = 0.
-1, -1/2, -2/5
Let m be 4/(-5)*40/(-8). Let t(y) = 2*y**3 + 9*y**2 - 9*y. Let o(f) = -3*f**3 - 10*f**2 + 9*f. Let z(d) = m*t(d) + 3*o(d). Let z(x) = 0. What is x?
0, 3
Let t be (-3)/((-15)/10) + 3*1. Let s(h) be the third derivative of -1/120*h**6 + 3*h**2 + 0 + 1/72*h**4 - 1/45*h**t + 0*h + 1/9*h**3. Factor s(d).
-(d + 1)**2*(3*d - 2)/3
Let v = 40 + -79/2. What is k in -v*k**4 + 0 - 1/2*k + 1/2*k**2 + 1/2*k**3 = 0?
-1, 0, 1
Let c(v) = 5*v**2 - 154*v - 29. Let n be c(31). Factor -1/3*d**n - 1 + 4/3*d.
-(d - 3)*(d - 1)/3
Let u(n) be the third derivative of -n**9/272160 - n**8/22680 - n**7/5670 - n**5/20 + 2*n**2. Let z(h) be the third derivative of u(h). Factor z(p).
-2*p*(p + 2)**2/9
Let o(j) be the second derivative of -j**5/130 - j**4/39 + j**3/39 + 2*j**2/13 + 40*j. What is q in o(q) = 0?
-2, -1, 1
Let l(u) = u**4 - u**2 + u. Let c(y) = -74*y**4 + 168*y**3 - 120*y**2 + 26*y - 2. Let j(n) = -c(n) - 2*l(n). Factor j(v).
2*(v - 1)**2*(6*v - 1)**2
Let z(c) be the first derivative of -c**5/40 + c**4/16 + 6. Factor z(k).
-k**3*(k - 2)/8
Let l(u) be the third derivative of 4*u**8/7 + 136*u**7/105 + 17*u**6/30 - 7*u**5/20 - 5*u**4/12 - u**3/6 - u**2. Find q such that l(q) = 0.
-1, -1/4, 1/3
Let f = 14 - 9. Let n(x) be the third derivative of -1/480*x**6 + 3*x**2 + 0*x**4 + 0 + 0*x + 1/240*x**f - 1/420*x**7 + 0*x**3. Factor n(t).
-t**2*(t + 1)*(2*t - 1)/4
Suppose -407 = -6*i - 389. Suppose 0 + 3/5*t**2 + 2/5*t - 2/5*t**i - 3/5*t**4 = 0. What is t?
-1, -2/3, 0, 1
Suppose -2*x + 0 = -6. Let d(j) = -j**3 + 5*j**2 - 2*j + 1. Let k be d(x). Factor -7*v**2 - 5 + 6 + k*v**2 + 3 + 10*v.
2*(v + 1)*(3*v + 2)
Let v(k) be the second derivative of -k**4/6 - 2*k**3/3 - k**2 + 2*k. Factor v(b).
-2*(b + 1)**2
Let q = 17 - 13. Find r, given that 3*r**3 - 4*r**2 - 6*r**3 - 4*r**q + 11*r**3 = 0.
0, 1
Let u(f) = -f**2 + f - 1. Let b(s) = -8*s**2 + 17*s - 17. Let p(j) = -b(j) + 5*u(j). Solve p(i) = 0 for i.
2
Let j(u) = 975*u**3 + 2040*u**2 + 1235*u + 90. Let h(p) = -75*p**3 - 157*p**2 - 95*p - 7. Let m(g) = -40*h(g) - 3*j(g). Factor m(i).
5*(i + 1)**2*(15*i + 2)
What is i in 12*i + 6*i**2 + 4*i**5 - 6*i**3 + 2*i**2 - 17*i**3 + 7*i**3 - 8 = 0?
-2, -1, 1
Let h be ((-4)/(-18))/(15/(-18) - -1). Find i such that -25/3*i**2 + h + 4/3*i - 25/3*i**3 = 0.
-1, -2/5, 2/5
Let i(x) = -x**3 + 6*x**2 - 5*x + 4. Suppose -d = -4 - 1. Let v be i(d). Determine p, given that -2*p**2 + 3*p**2 + p**2 - v*p = 0.
0, 2
Suppose j = 6*j - 15. Let f(n) be the third derivative of 0 + 1/12*n**4 + 0*n**j + 0*n + 1/60*n**5 - n**2. Suppose f(g) = 0. What is g?
-2, 0
Suppose -3*g + 3 = 5*h, 4*h - g + 5*g = 4. Suppose -l = -h - 13. Let 0 + 0*w - 15/2*w**5 - 13/2*w**3 - w**2 - l*w**4 = 0. Calculate w.
-1, -2/5, -1/3, 0
Let a = 207 - 6209/30. Let c(n) be the second derivative of a*n**4 + 1/105*n**7 + 0*n**2 + 0 - 1/75*n**6 - 1/50*n**5 + 0*n**3 + 3*n. Let c(b) = 0. What is b?
-1, 0, 1
Let p(f) be the second derivative of 0 + 1/3*f**4 - f + f**2 + 5/6*f**3 + 1/20*f**5. Factor p(g).
(g + 1)**2*(g + 2)
Let c(i) be the second derivative of -2*i**6/3 + 13*i**5/4 - 55*i**4/12 + 5*i**3/3 - 28*i. Factor c(l).
-5*l*(l - 2)*(l - 1)*(4*l - 1)
Suppose -2*g = 4*t, 6*g - 2*g + 24 = 4*t. Find h, given that -5/2*h**3 + 0*h - h**t + 0 - 3/2*h**4 = 0.
-1, -2/3, 0
Factor 0*d + 5*d**3 + d**2 + 5*d + 9*d**2.
5*d*(d + 1)**2
Determine u so that 0*u + 9*u**2 - 4*u**3 + 2*u - 8*u**2 - 3*u**4 = 0.
-1, 0, 2/3
Let y(b) be the first derivative of 6*b**5/25 + 3*b**4/2 + 16*b**3/5 + 12*b**2/5 + 15. What is u in y(u) = 0?
-2, -1, 0
Let q(t) be the third derivative of -1/108*t**4 + 0 + 2*t**2 + 0*t + 0*t**3 - 1/270*t**5. Suppose q(o) = 0. What is o?
-1, 0
Solve -1/4*u**2 - 1/2*u**3 + 1/4 + 1/2*u = 0.
-1, -1/2, 1
Let j(x) = 2338*x**2 - 1. Let t be j(1). Let k = t + -1063. What is b in -756*b**3 + 52*b**2 - 122*b**5 + 132*b**2 - 564*b**5 - 16*b + k*b**4 = 0?
0, 2/7, 1
Let u(g) be the second derivative of 0*g**6 + 0 + 1/50*g**5 + 0*g**3 + 0*g**2 - 1/105*g**7 + 0*g**4 + g. What is j in u(j) = 0?
-1, 0, 1
What is m in -21*m**3 - 2*m**4 - 3*m - 7*m**4 - 25 + 25 - 15*m**2 = 0?
-1, -1/3, 0
Let f(g) be the first derivative of -g**5/15 + g**4/4 - 2*g**2/3 + 2. Factor f(q).
-q*(q - 2)**2*(q + 1)/3
Let t(b) = 2*b + 2. Let z be t(9). Suppose -7*x = -2*x - z. Factor 0*p + 0*p**3 - 1/3*p**2 + 1/3*p**x + 0.
p**2*(p - 1)*(p + 1)/3
Solve 0*r - 2/7*r**2 + 2/7*r**3 + 0 = 0 for r.
0, 1
Let j = 11 - 3. Suppose 2*v = -2*v + 