?
0, 2/7, 2/3
Suppose -x - 3*x = -12. Suppose x*w + 2*w = 0. What is n in 2/3*n**2 - 2/3*n**4 + w + 2/3*n - 2/3*n**3 = 0?
-1, 0, 1
What is u in -29*u**2 + 2 - 5*u - u**4 + u**3 + 15*u**2 + 11*u**2 + 6*u**2 = 0?
-2, 1
Let k(r) be the second derivative of -r**7/14 - r**6/10 + 6*r. Factor k(s).
-3*s**4*(s + 1)
Let k(i) = 17*i**2 + 57*i + 39. Let m(c) = -9*c**2 - 29*c - 19. Let r(x) = -3*k(x) - 7*m(x). Factor r(z).
4*(z + 2)*(3*z + 2)
Suppose 0*c - 16 = -4*c + 3*s, -4 = -c + 4*s. Determine g, given that 3*g**c + 4 + 2*g**3 - 2*g**4 - 2*g**2 - g - g**5 - 3 = 0.
-1, 1
Let a be (0 - -2 - 2)/(-1). Let g be ((-15)/(-35))/((-1)/(-7)). Factor 2*o**4 + 6*o + 0 - g*o**3 + a - 5*o.
o*(o - 1)**2*(2*o + 1)
Let s(x) = -x**3 - 8*x. Let r(z) be the third derivative of z**6/40 + z**5/60 + 23*z**4/24 + z**2. Let h(d) = 4*r(d) + 11*s(d). Factor h(q).
q*(q + 2)**2
Factor 1/9*n**3 + 0 + 0*n + 4/9*n**2.
n**2*(n + 4)/9
Let -2*f**5 - 3*f**5 + 10*f**2 + 10 + 14*f - 27*f**4 + 7*f**4 - 20*f**3 + 11*f = 0. What is f?
-2, -1, 1
Factor -1/4*b**2 - 3/4*b + 1.
-(b - 1)*(b + 4)/4
Let q(w) be the first derivative of -w**4 - 8*w**3/3 + 6*w**2 + 6. Determine s, given that q(s) = 0.
-3, 0, 1
Let o(h) be the third derivative of 8*h**7/21 + 5*h**6/3 + 11*h**5/4 + 25*h**4/12 + 5*h**3/6 + 2*h**2. Factor o(c).
5*(c + 1)**2*(4*c + 1)**2
Let g(t) be the first derivative of -t**8/784 + t**7/245 - t**6/280 + 3*t**2/2 - 2. Let p(b) be the second derivative of g(b). Factor p(i).
-3*i**3*(i - 1)**2/7
Let m(d) be the second derivative of -d**6/135 + d**5/90 + d**4/54 - d**3/27 + 7*d. Find x, given that m(x) = 0.
-1, 0, 1
Let k(m) be the third derivative of m**6/1620 + m**5/180 + m**4/54 + 5*m**3/3 - 7*m**2. Let j(b) be the first derivative of k(b). Factor j(l).
2*(l + 1)*(l + 2)/9
What is y in y**5 - 10*y**3 + 2*y**5 + 0*y**3 + 7*y - 1 + 3 - 2*y**4 = 0?
-1, -1/3, 1, 2
Let i(h) be the second derivative of -h**5/110 - 4*h**4/11 - 64*h**3/11 - 512*h**2/11 + 16*h. Factor i(l).
-2*(l + 8)**3/11
Let q(h) = -3*h**3 - 11*h**2 + 5*h + 7. Let s(r) = -r**3 + r**2 - r - 1. Let l(y) = 2*q(y) + 6*s(y). Solve l(f) = 0 for f.
-1, 2/3
Find k such that 8/3*k**2 + 2/3*k**3 + 2/3*k - 4 = 0.
-3, -2, 1
Let z(b) be the third derivative of -b**5/15 - 4*b**4/3 - 9*b**2 + 1. Factor z(s).
-4*s*(s + 8)
Let n(h) = -175*h**3 - 85*h**2 + 50*h - 20. Let m(v) = 25*v**3 + 12*v**2 - 7*v + 3. Let r(d) = -20*m(d) - 3*n(d). Suppose r(c) = 0. What is c?
-1, 0, 2/5
Let o = 4 + -4. Let p(q) be the second derivative of 1/12*q**4 + 0*q**3 + 2*q + o - 1/2*q**2. Factor p(k).
(k - 1)*(k + 1)
Suppose 0 = -2*l + 2*p + p + 12, p - 1 = -l. Suppose -b**2 - 4*b + 0*b + l*b = 0. Calculate b.
-1, 0
Let h = 20 + -20. Let g(p) be the third derivative of 0*p**5 - 1/108*p**4 + 0*p + 0*p**3 + 2*p**2 + h + 1/540*p**6. Factor g(z).
2*z*(z - 1)*(z + 1)/9
Let a = 0 + -2. Let l be 20/24 - a/(-4). Let l*u + 0*u**2 + 0 - 1/3*u**3 = 0. Calculate u.
-1, 0, 1
Let c(y) = -3*y**2 + 6*y + 5. Let x(o) = -4*o**2 + 6*o + 4. Let i(l) = -3*c(l) + 2*x(l). Let p be i(7). Factor 6*f**2 - 2*f**2 - 6*f - 7*f**2 + p*f**2.
-3*f*(f + 2)
Let a(k) = 10*k**4 + 5*k**3 - 30*k**2 - 30*k + 30. Let m(h) = h**4 - h**2 - h + 1. Let u(l) = a(l) - 30*m(l). Let u(o) = 0. What is o?
0, 1/4
Let y(p) be the first derivative of 3*p**4/16 - p**3/4 - 15*p**2/8 - 9*p/4 + 8. Factor y(q).
3*(q - 3)*(q + 1)**2/4
Let d(l) be the first derivative of l**6/9 - 2*l**5/5 + l**4/2 - 2*l**3/9 + 6. Let d(o) = 0. What is o?
0, 1
Let l(x) = -x**2 - x + 1. Let b(z) = -3*z**2 + z + 3. Let t(y) = -b(y) - l(y). Solve t(v) = 0 for v.
-1, 1
Let l(u) = -u**3 + 2*u**2 + 2*u + 1. Let a be l(2). Find b such that -b**2 - 3*b**4 + 0 + 0 - b**a - 3*b**3 = 0.
-1, 0
Suppose -9*r + 1 = -17. Let a(p) be the first derivative of 1/10*p**5 + 0*p - 1/3*p**3 + 1/8*p**4 + 0*p**r + 1. Find j such that a(j) = 0.
-2, 0, 1
Suppose 0*q - 2/5*q**3 - 8/5 + 6/5*q**2 = 0. Calculate q.
-1, 2
Let h(r) be the second derivative of -r**4/54 + 7*r**3/27 - 2*r**2/3 - 43*r + 1. Solve h(b) = 0.
1, 6
Let h(s) = -2*s + 12. Let m be h(12). Let z be m/42 + (-2)/(-7). Determine j, given that 0*j + 2/7*j**3 + z + 2/7*j**2 = 0.
-1, 0
Let d be (111/(-148))/(2/(-8)). Let 1/2*u**d + 0 + 1/2*u + u**2 = 0. Calculate u.
-1, 0
Let u(w) be the first derivative of -w**7/945 - w**6/270 + w**4/54 + w**3/27 + w**2 + 3. Let a(t) be the second derivative of u(t). Factor a(x).
-2*(x - 1)*(x + 1)**3/9
Factor -34*c**3 - 510*c - 298 + 32*c**3 + 66*c**2 - 280.
-2*(c - 17)**2*(c + 1)
Let f(c) be the third derivative of 1/180*c**6 + 1/90*c**5 - 1/9*c**3 - 1/36*c**4 + 3*c**2 + 0 + 0*c. Find r, given that f(r) = 0.
-1, 1
Let i be (-10)/(-55) + (-40)/(-22). Let -6*r**3 - 9*r**i + 10 - 10 - 3*r + 33*r**3 - 15*r**4 = 0. Calculate r.
-1/5, 0, 1
Let i be 12/(-18) - 11/(-3). Suppose -2*f = -i*c + 2, -c + 3*f - 11 = -0*c. Factor 4*y**4 + 6 + 20*y + 12*y**3 + 0*y**4 - 2*y**c + 24*y**2.
2*(y + 1)**3*(y + 3)
Solve 0 + 0*d - 3/5*d**2 + 3/5*d**3 = 0 for d.
0, 1
Suppose 4*m + 0*m - 4*o = -8, -6 = -4*m - 3*o. Suppose -l**3 + 2*l**4 + m*l**3 - l**4 = 0. Calculate l.
0, 1
Let a(j) be the first derivative of 0*j**2 + 0*j + 0*j**3 + 5 - 8/25*j**5 - 2/5*j**4 - 1/15*j**6. Factor a(q).
-2*q**3*(q + 2)**2/5
Let h(j) = -j**3 + 3*j**2 + 12*j - 6. Let p be h(5). Solve -3/4*q**5 + 0*q + 3/4*q**3 + 0*q**2 + 0 + 0*q**p = 0.
-1, 0, 1
Suppose 4*d - 16 = 2*s, s - 3*d + 23 = 5*s. Suppose 5*u - u = 0. Factor -2/5*j + u - 2/5*j**s.
-2*j*(j + 1)/5
Let n(m) = -m**3 + 5*m**2 - 2*m + 10. Let f be n(5). Suppose f = -5*l - 2*l + 21. Factor r**l - r + 1/3*r**2 - 1/3.
(r - 1)*(r + 1)*(3*r + 1)/3
Let k(o) be the second derivative of -o**8/336 + o**7/105 - o**5/30 + o**4/24 - 3*o**2/2 + 3*o. Let f(j) be the first derivative of k(j). Factor f(p).
-p*(p - 1)**3*(p + 1)
Let n(z) be the second derivative of -1/6*z**5 - 4/9*z**3 + 0*z**2 + z + 1/45*z**6 + 0 + 4/9*z**4. Let n(a) = 0. Calculate a.
0, 1, 2
Let h = -18 - -14. Let y be 0 - h - (-40)/(-12). Solve -4/3 + 2*l - y*l**2 = 0 for l.
1, 2
Suppose 6 = -4*m + 3*c, -5*m - 5*c = -8 - 2. Determine q so that q**2 - 1/4*q + m = 0.
0, 1/4
Let n = 74 - 71. Let m(d) be the first derivative of 3/2*d**2 + 1 + 1/3*d**n + 2*d. Factor m(s).
(s + 1)*(s + 2)
Suppose 10/3*o**2 + 2*o**3 + 0 + 4/3*o = 0. What is o?
-1, -2/3, 0
Let i(f) be the second derivative of -7/165*f**6 + 0*f**3 - 2*f + 1/55*f**5 + 0*f**4 + 0 + 0*f**2. Factor i(j).
-2*j**3*(7*j - 2)/11
Suppose -3*d + 5*i - 17 = -7*d, d - 2*i - 14 = 0. Suppose -d = -2*m + 4*o, -m + 3*m = -5*o + 8. Solve 1/3*j**2 + 0*j + 2/3*j**m + j**3 + 0 = 0.
-1, -1/2, 0
Determine h so that 2*h**4 + 4*h**4 - 3*h**2 + 2*h**3 - 4*h + 2*h**5 + 4*h**2 - 7*h**2 = 0.
-2, -1, 0, 1
Let f(q) = q**3 + 9*q**2 + 4*q + 143. Let m be f(-10). Solve -4/13*b + 0 + 2/13*b**4 - 2/13*b**2 + 4/13*b**m = 0 for b.
-2, -1, 0, 1
Let a(j) be the first derivative of 3*j**4/32 - 11*j**3/4 + 363*j**2/16 + 61. Factor a(l).
3*l*(l - 11)**2/8
Let p(n) be the third derivative of -1/20*n**5 + 0 - 2*n**3 - 1/2*n**4 + 0*n + 5*n**2. Factor p(g).
-3*(g + 2)**2
Let l be (8 - (1 - -1)) + 0. Let z = -1 + l. Suppose 5*x - 2*x**3 - z*x - x**4 - 4*x**2 + 3*x**2 = 0. Calculate x.
-1, 0
Let g be (1 - 4 - (-2 - 1))/1. Let p(t) be the first derivative of 0*t + 2 + g*t**4 - 2/15*t**5 + 2/9*t**3 + 0*t**2. Find z such that p(z) = 0.
-1, 0, 1
Let q = 46 + -30. Let u = q - 14. Factor u*k**2 + 5/2*k + 1/2.
(k + 1)*(4*k + 1)/2
Let f(s) be the first derivative of -s**5/15 + 4*s**3/9 - 28. Factor f(a).
-a**2*(a - 2)*(a + 2)/3
Let y(l) be the third derivative of -l**7/210 - l**6/120 + l**5/20 + l**4/24 - l**3/3 + 4*l**2. Factor y(z).
-(z - 1)**2*(z + 1)*(z + 2)
Let s(a) be the second derivative of -a**4/15 + 2*a**3/3 - 17*a. Find z, given that s(z) = 0.
0, 5
Suppose 2*j - 3 - 1 = 0. Let u(g) be the third derivative of 0*g - 1/48*g**8 - g**j + 1/60*g**6 + 0*g**4 + 0 + 0*g**5 + 1/42*g**7 + 0*g**3. Factor u(a).
-a**3*(a - 1)*(7*a + 2)
Let x(j) be the second derivative of j**6/20 + 3*j**5/40 - 17*j**4/8 - 21*j**3/4 + 27*j**2 + 21*j + 1. Factor x(d).
3*(d - 4)*(d - 1)*(d + 3)**2/2
Let u(m) be the second derivative of 1/2*m**2 - 1/3*m**3 - 1/60*m**5 + 0 + 1/8*m**4 - 2*m. Let x(i) be the first derivative of u(i). Find w such that x(w) = 0.
1, 2
Let r(l) = -3*l**4 + 6*l - 3. Let k(c) = 5*c**4 + c**2 - 11*c + 5. Let 