
Suppose 10 = -2*c + 4*c. Let s be (-2)/c + 22/10. What is j in -s*j - 6/5 - 3/5*j**2 = 0?
-2, -1
Solve -6*w**5 + 3*w**5 + 2*w**3 + w**3 = 0 for w.
-1, 0, 1
Let s(q) = -2*q - 13. Let o be s(-9). Let u(x) be the second derivative of 0*x**3 - x - 1/6*x**4 + 0 - 1/30*x**6 + 0*x**2 + 3/20*x**o. Let u(m) = 0. What is m?
0, 1, 2
Let o(p) be the second derivative of p**5/10 - p**3/3 + p. Factor o(q).
2*q*(q - 1)*(q + 1)
Let t(v) be the second derivative of 1/16*v**4 + 3/8*v**2 - 3*v + 1/4*v**3 + 0. Factor t(s).
3*(s + 1)**2/4
Let j = 10 - 6. Suppose -3*i - 6 = -4*m, -m + j*i = m - 8. Let -2/9*t - 2/9*t**5 - 4/3*t**3 + 8/9*t**4 + 8/9*t**2 + m = 0. What is t?
0, 1
Let f(h) be the second derivative of -h**5/10 + 5*h**4/12 + 2*h**3/3 - 5*h**2/2 - 3*h. Let t(n) be the first derivative of f(n). Let t(s) = 0. Calculate s.
-1/3, 2
Let f = -106 - -4. Let x = f + 722/7. Factor 2/7*y + 8/7*y**4 + 2/7*y**5 + 12/7*y**3 + x*y**2 + 0.
2*y*(y + 1)**4/7
Let r = 5152/2367 + 12/263. Let q = -228 - -2132/9. Suppose -160/9*y - 2/9*y**5 - 160/9*y**2 - q*y**3 - r*y**4 - 64/9 = 0. What is y?
-2
Let o(s) = -s**2 + 5*s - 3. Suppose 4*w = 20, -w - 2*w = -2*c - 21. Let g(x) = -4*x**2 + 24*x - 14. Let q(l) = c*g(l) + 14*o(l). What is d in q(d) = 0?
-1, 0
Let b be (-2)/(-3) - 48/(-9). Determine j so that -29*j**3 + 23*j**3 + 30*j**5 + b*j**4 - 34*j**4 + 4*j**2 = 0.
-2/5, 0, 1/3, 1
Let y(g) be the third derivative of 0*g + 0 + 1/42*g**7 + g**2 + 0*g**3 - 1/30*g**6 + 0*g**4 - 1/168*g**8 + 1/60*g**5. Factor y(n).
-n**2*(n - 1)**2*(2*n - 1)
Let i(z) be the second derivative of z**4/6 - z**3/3 - 3*z. Factor i(h).
2*h*(h - 1)
Let x be ((-3)/(-4))/((-2)/(-8)). Suppose 0 = p + x*r + 6 + 1, 0 = -4*p - r + 5. Let -3 + 4*n + 0*n + 3 - 2 - p*n**2 = 0. Calculate n.
1
Let h(g) be the third derivative of -g**6/40 + g**5/5 + g**4/8 - 2*g**3 + 19*g**2. Suppose h(m) = 0. What is m?
-1, 1, 4
Find y, given that 1/8 - 3/8*y**2 - 1/4*y = 0.
-1, 1/3
Let x(o) be the second derivative of o**7/63 + 2*o**6/45 - o**4/9 - o**3/9 + 12*o. Factor x(f).
2*f*(f - 1)*(f + 1)**3/3
Let y(x) be the third derivative of -1/480*x**6 - 1/80*x**5 - 1/32*x**4 + 2*x**2 + 0*x + 0 - 1/24*x**3. Factor y(u).
-(u + 1)**3/4
Let m(p) be the second derivative of -p**4/48 + p**3/6 + 5*p**2/8 - 7*p. Factor m(i).
-(i - 5)*(i + 1)/4
Suppose 0 = -3*t + 5*t - 6. Let j = t + -1. Factor 2*n**2 - n**2 + 2 + 4*n**j - 4*n**2 + 3*n.
(n + 1)*(n + 2)
Suppose -4*t - 69 - 11 = 0. Let x be ((-1)/5)/(12/t). Factor x*u**2 - 1/3 + 0*u.
(u - 1)*(u + 1)/3
Let b(x) be the third derivative of 0 - 1/70*x**7 + 0*x + 0*x**3 - 1/10*x**5 + 3/40*x**6 + 9*x**2 + 0*x**4. Factor b(w).
-3*w**2*(w - 2)*(w - 1)
Let r(m) be the first derivative of 12*m**3 + 2 + 4*m**2 - 16*m - 9/2*m**4. Solve r(c) = 0.
-2/3, 2/3, 2
Let z(k) be the third derivative of -k**8/168 + 2*k**7/105 - k**5/15 + k**4/12 + 8*k**2. Factor z(c).
-2*c*(c - 1)**3*(c + 1)
Let m(l) be the second derivative of -1/27*l**4 - 1/30*l**5 - 1/135*l**6 + 0 + 2*l + 0*l**2 + 0*l**3. Factor m(w).
-2*w**2*(w + 1)*(w + 2)/9
Find k, given that -3*k**2 - 9*k**2 - 12 + 51*k + 0*k**2 = 0.
1/4, 4
Let y(j) = 10*j**3 - 25*j**2. Let k(s) = -5*s**3 + 13*s**2. Let n(i) = 5*k(i) + 2*y(i). Find h such that n(h) = 0.
0, 3
Let s(u) be the third derivative of -u**8/2016 - u**7/1260 + u**6/360 + u**5/180 - u**4/144 - u**3/36 + 6*u**2. Solve s(w) = 0.
-1, 1
Let n = -178 - -178. Let y(s) be the second derivative of 0 + n*s**2 + 1/48*s**4 + 0*s**3 - s. Factor y(k).
k**2/4
Factor -l**2 - 6*l**2 - 6*l + 6*l**2 - 16*l - 121.
-(l + 11)**2
Let q(l) be the first derivative of -l**7/1680 + l**3/3 + 5. Let o(k) be the third derivative of q(k). Factor o(x).
-x**3/2
Let t = -2 + 8. Let a(i) = 15*i**3 - 29*i**2 + 23*i - 4. Let n(d) = -8*d**3 + 15*d**2 - 12*d + 2. Let g(x) = t*a(x) + 10*n(x). Determine b so that g(b) = 0.
2/5, 1
Suppose -3*t - 20 = -4*t. Let v = -15 + t. Find s such that 1/4*s**v + 0 + 0*s - 1/4*s**3 + 1/4*s**4 - 1/4*s**2 = 0.
-1, 0, 1
Let l(w) be the third derivative of -w**6/120 - w**5/60 - w**4/24 + 4*w**2. Let m(f) = 3*f**3 + 7*f**2 + 5*f. Let n(j) = -l(j) - m(j). Let n(c) = 0. What is c?
-2, -1, 0
Let c(u) = -3*u - 4*u**3 + 2*u**2 + 3*u**3 - 4 + 2*u**3. Let a(f) = 3*f**3 + 6*f**2 - 10*f - 13. Let r(j) = -2*a(j) + 7*c(j). Solve r(l) = 0 for l.
-2, -1, 1
Suppose -6 = -3*d - 3*d. Determine j so that -d + j**2 - 2*j**3 + 3/2*j + 1/2*j**5 + 0*j**4 = 0.
-2, -1, 1
Let h = 195 - 195. Let n(a) be the first derivative of 2 + 3/8*a**4 + h*a + a**3 + 0*a**2. Solve n(s) = 0.
-2, 0
Let l(w) be the second derivative of w**5/40 - w**4/24 - 6*w. Factor l(n).
n**2*(n - 1)/2
Let p(z) be the first derivative of z**6/720 - z**5/240 - z**4/24 - z**3/3 + 6. Let h(t) be the third derivative of p(t). Find w such that h(w) = 0.
-1, 2
Let z(y) be the second derivative of -y**4/78 + 5*y**3/39 - 6*y**2/13 - 21*y. Factor z(d).
-2*(d - 3)*(d - 2)/13
Let i(f) be the second derivative of -f**6/225 - f**5/150 + f**4/45 + 7*f. Factor i(k).
-2*k**2*(k - 1)*(k + 2)/15
Let r be (-2)/(-3) + (-25)/15 + 3. Suppose 2 - s**3 + 1/2*s**4 + r*s - 3/2*s**2 = 0. Calculate s.
-1, 2
Let c(m) be the first derivative of -m**3/3 + m**2/2 + m - 3. Let y(o) = -o**3 - o**2 + 7. Let x(u) = 5*c(u) - y(u). Find a, given that x(a) = 0.
1, 2
Let l(x) be the second derivative of -x**6/360 - x**5/36 - x**4/9 - 2*x**3/9 + x**2 + 2*x. Let a(j) be the first derivative of l(j). Factor a(v).
-(v + 1)*(v + 2)**2/3
Let z(v) be the first derivative of 4*v**3/15 + 4*v**2/5 + 4*v/5 - 5. Solve z(g) = 0 for g.
-1
Let a be -3 + 1/(-2)*-10. Determine x, given that -x**5 + 8*x**2 - 3*x**5 - 11*x**3 - 2*x + 8*x**4 + a*x**5 - x**3 = 0.
0, 1
Determine s so that -25*s**4 + 8*s**3 + 5*s**4 + 8*s**2 + 4*s**2 = 0.
-3/5, 0, 1
Factor 2/11*q + 0 + 2/11*q**3 + 4/11*q**2.
2*q*(q + 1)**2/11
Let i = 204/43 - -4892/129. Find j such that 104*j**3 + 49/3*j**5 - 224/3*j**4 - i*j**2 + 0 + 16/3*j = 0.
0, 2/7, 2
Let i = -10 + 12. Suppose -3*g + 9 = 2*t + 3*t, -t = -5*g - 13. Let i*j**2 + 2*j - 2*j - j**t = 0. Calculate j.
0, 2
Let q + 44*q**2 - 3*q**3 + 7*q + 27*q**3 - 36*q**5 + 4*q**3 - 44*q**4 = 0. Calculate q.
-1, -2/9, 0, 1
Let v(a) be the first derivative of a**5/360 + a**4/48 + a**3/18 + a**2/2 + 3. Let p(x) be the second derivative of v(x). Suppose p(i) = 0. What is i?
-2, -1
Suppose -x = x + 5*u + 21, -5*u + 27 = -4*x. Let j be 9/4 + 2/x. Factor -3/4*n**4 + 1/4 + 1/2*n**j + 1/4*n**5 - 3/4*n + 1/2*n**3.
(n - 1)**4*(n + 1)/4
Let a(y) be the third derivative of -y**6/8 + 3*y**5/5 - y**4/2 - 48*y**2. Determine p, given that a(p) = 0.
0, 2/5, 2
Let u(n) be the third derivative of n**5/480 + n**4/64 + n**3/24 - 26*n**2. What is o in u(o) = 0?
-2, -1
Let s(i) = -i**3 - 6*i**2 - 4*i + 7. Let u be s(-5). Suppose u - 10 = -4*r. Factor v + 6*v**3 + 4*v**r + 2*v**5 + 5*v**4 - v**4 - v**5.
v*(v + 1)**4
Suppose 55 - 47 = 4*k. Let l(i) be the first derivative of 1 + 0*i + 2/21*i**3 - 1/14*i**4 + 0*i**k. Find y, given that l(y) = 0.
0, 1
Factor -6/5*y**2 + 0 - 2/5*y**3 - 4/5*y.
-2*y*(y + 1)*(y + 2)/5
Suppose 2*m - 2*i - 7 = i, -3*m = 2*i - 4. What is q in -2*q - q**2 + 3*q**m + 0*q**2 = 0?
0, 1
Solve -49/4*o**4 + 21/4*o**3 + 2 + 15*o + 61/2*o**2 = 0 for o.
-1, -2/7, 2
Let u = 605 - -708. Let d = u + -3890/3. Factor 0 + d*n**5 + 4/3*n**3 + 0*n**2 + 0*n + 28/3*n**4.
n**3*(7*n + 2)**2/3
Suppose -5*k + 21 = 11. Solve 8*u + 8*u**k - 13*u + 0*u**2 - 3*u - 2*u**3 = 0.
0, 2
Let a(n) = -2*n**2 - 7. Suppose -5*u = 2*j + 11, 2*j + 9 = -j - 5*u. Let s(b) = 2 + 3 - 2 + b**j. Let v(q) = 3*a(q) + 7*s(q). Factor v(g).
g**2
Let t(z) be the first derivative of z**5/5 - 3*z**4/4 + z**3 - z**2/2 + 13. Factor t(g).
g*(g - 1)**3
Let t be 14/(-35) + (-1)/(-5)*2. Suppose t - x**4 + x**2 - 1/2*x**5 + 0*x**3 + 1/2*x = 0. What is x?
-1, 0, 1
Let n(g) be the second derivative of 1/70*g**5 + g - 1/21*g**3 + 0*g**4 + 0*g**2 + 0. Let n(s) = 0. Calculate s.
-1, 0, 1
Let a = 8 - 8. Let s = a - -3. Solve 7*z**2 + z**s - z**2 - 5*z**2 = 0.
-1, 0
Factor 7*h - 9*h - h**4 - 2*h**3 + 4*h**3 + h**2.
-h*(h - 2)*(h - 1)*(h + 1)
Factor 0 + 0*y + 3/5*y**2.
3*y**2/5
Suppose 5*a - 4*r - 3 = 0, 3*a + 6*r = 4*r + 15. Let u(d) be the first derivative of -3 + 2/5*d**5 + 0*d + 1/3*d**6 - 2/3*d**a - 1/2*d**4 + 0*d**2. Factor u(b).
2*b**2*(b - 1)*(b + 1)**2
Let h(c) be the fi