7*o**4 + 2/7*o + f*o**3 + 0 = 0. What is o?
-1, 0, 1
Let a be (2 + 28/(-10))/(18/(-5)). Factor 4/9*z - 10/9*z**2 + 0 + a*z**4 - 2/9*z**5 + 2/3*z**3.
-2*z*(z - 1)**3*(z + 2)/9
Factor 0*y + 9/5*y**2 - 12/5 - 3/5*y**3.
-3*(y - 2)**2*(y + 1)/5
Let o be (-180)/8*-2 + -1. Let i be o/(-11) - 9/(-2). Suppose -3/2*c**3 - 1/2*c**5 - 3/2*c**4 + 0 - i*c**2 + 0*c = 0. Calculate c.
-1, 0
Let j(b) be the second derivative of -b**5/5 + 2*b**4/3 + 2*b**3/3 - 4*b**2 - 6*b. Factor j(g).
-4*(g - 2)*(g - 1)*(g + 1)
Let k = -48 - -33. Let c be 2/(-6) - 35/k. Factor 2*x - x + x + c*x**2.
2*x*(x + 1)
Let y(j) be the first derivative of -j**3/5 - 3*j**2/10 + 6*j/5 + 9. Suppose y(g) = 0. What is g?
-2, 1
Let c(s) = -3*s**4 + 12*s**3 - 18*s**2 + 11*s - 3. Let l(u) = 7*u + 6. Let x(n) = 20*n + 17. Let m(y) = 17*l(y) - 6*x(y). Let q(r) = -c(r) + m(r). Factor q(g).
3*(g - 1)**4
Suppose 0*d = -d - 5*s - 8, 0 = -3*d - 2*s + 2. What is h in -2*h**3 - h + 3*h - d*h**2 + 2*h**4 + h - h = 0?
-1, 0, 1
Let b(n) be the third derivative of 1/30*n**5 + 0*n**4 + 0*n + 0 - n**2 + 0*n**3. Determine d, given that b(d) = 0.
0
Let z(t) be the second derivative of -3*t**5/10 + 3*t**4/4 - 3*t**2/2 - 3*t. Determine m so that z(m) = 0.
-1/2, 1
Let m be 3/4*3/9. Let w(g) be the second derivative of -m*g**4 + 0*g**2 + 21/100*g**5 + 0 - 3/50*g**6 + 3*g + 1/10*g**3. Let w(b) = 0. What is b?
0, 1/3, 1
Let r be 2/4 - 3/(-2). Suppose 0*v - 5*p = -3*v, 0 = r*p. Let v*x - 8/7 - 2/7*x**3 + 6/7*x**2 = 0. Calculate x.
-1, 2
Let r = 0 + 3. Factor 0*y**r - 2*y**3 + y**3.
-y**3
Let k(f) be the second derivative of -5*f**4/12 + 10*f**3/3 - 15*f**2/2 + 22*f. Solve k(a) = 0 for a.
1, 3
Find c, given that -3/7*c**4 - 3/7*c**3 - 6/7 + 9/7*c**2 + 3/7*c = 0.
-2, -1, 1
Let p(h) be the first derivative of h**6/1440 - h**4/96 - h**3 + 2. Let s(k) be the third derivative of p(k). Factor s(r).
(r - 1)*(r + 1)/4
Suppose -r - 12 = -6*r - 2*i, 2 = 2*i. Suppose 0 = 4*p + 2*s - 2, 0 = -2*s + 2 - 12. Find q such that 0*q**p + 0*q**r + 0*q - 1/3*q**5 + 0 + 0*q**4 = 0.
0
Let b(q) be the first derivative of -4*q**3/3 - 10*q**2 - 16*q + 4. Factor b(p).
-4*(p + 1)*(p + 4)
Solve -8/3*f**2 - 8/3*f**3 + 4/3 + 4/3*f + 4/3*f**5 + 4/3*f**4 = 0.
-1, 1
Let x(a) = 3*a**2 - 2*a + 2. Suppose 0*m + 4*t - 38 = 3*m, -t = 5*m + 25. Let n(c) = c**2 + 1. Let z(g) = m*n(g) + 3*x(g). Factor z(y).
3*y*(y - 2)
Suppose 12/5 + 0*t - 9/5*t**2 + 3/5*t**3 = 0. What is t?
-1, 2
Suppose -41*o = -31*o. Factor -4/7*l**3 + 0*l**2 + 4/7*l + o.
-4*l*(l - 1)*(l + 1)/7
Suppose 0 + 0*q - 15/2*q**2 - 3/2*q**3 = 0. Calculate q.
-5, 0
Let c(y) be the first derivative of 16/7*y**2 - 4/7*y**3 - 16/7*y + 10 + 4/35*y**5 - 2/7*y**4. Factor c(a).
4*(a - 2)*(a - 1)**2*(a + 2)/7
Let z = 44 + -42. What is x in -3/2*x**4 + 0*x + 0 + 3/2*x**z + 0*x**3 = 0?
-1, 0, 1
Let n(r) = 3*r**4 - 5*r**3 + 8*r**2 - 4*r + 2. Let d(w) = -7*w**4 + 10*w**3 - 16*w**2 + 8*w - 5. Let v(y) = 2*d(y) + 5*n(y). Factor v(k).
k*(k - 2)**2*(k - 1)
Let p(o) be the third derivative of o**8/672 + o**7/140 + o**6/120 - o**5/60 - o**4/16 - o**3/12 + 9*o**2. Factor p(i).
(i - 1)*(i + 1)**4/2
Let f(h) = -h**3 - 8*h**2 + 9. Let t be f(-8). Suppose 0 = -4*g + t + 3. Factor -1/2*a**2 + 1/4*a**g + 0 + 1/4*a.
a*(a - 1)**2/4
Let b(h) be the third derivative of 0*h**3 + 11*h**2 + 0*h - 1/24*h**4 - 1/180*h**5 + 0. Factor b(u).
-u*(u + 3)/3
Let j = 4 + 1. Let v be (j - (0 - 1)) + -1. Determine h, given that 2*h**5 + 0*h**4 - 2*h**4 + 3*h**2 + 0*h**v - 2*h**3 - h**2 = 0.
-1, 0, 1
Let y(f) be the first derivative of -2*f**5/45 - f**4/3 - 2*f**3/3 - 4*f**2/9 - 62. Factor y(p).
-2*p*(p + 1)**2*(p + 4)/9
Let 4*n**4 - 4*n**2 + 3*n**3 + n - 6*n + 5*n**3 - 3*n = 0. What is n?
-2, -1, 0, 1
Let 8/5*y**3 + 2*y**5 - 18/5*y - 24/5*y**4 + 4*y**2 + 4/5 = 0. What is y?
-1, 2/5, 1
Let j(d) be the second derivative of -1/40*d**6 + d**2 + 1/10*d**5 + 0 + 0*d**3 + 3*d - 1/8*d**4. Let c(z) be the first derivative of j(z). Factor c(l).
-3*l*(l - 1)**2
Let o(b) = -6*b**3 + 12*b**2 + 8*b. Let q(i) = -25*i**3 + 49*i**2 + 33*i. Let k(v) = 18*o(v) - 4*q(v). Find y such that k(y) = 0.
-1/2, 0, 3
Let s(f) be the first derivative of 3*f**5/20 - 3*f**4/4 + f + 1. Let o(u) be the first derivative of s(u). Solve o(z) = 0.
0, 3
Let g(l) = l**3 - l**2 - l + 1. Let o(k) = 32*k**3 + 60*k**2 + 40*k + 12. Let r(b) = -4*g(b) + o(b). Factor r(s).
4*(s + 1)**2*(7*s + 2)
Solve 4*j - 8*j - 30*j**4 + j**3 + 6*j**2 + 27*j**3 = 0 for j.
-2/5, 0, 1/3, 1
Let i(z) be the first derivative of -4*z**5/15 + 7*z**4/4 - 11*z**3/3 + 19*z**2/6 - z + 6. Suppose i(d) = 0. What is d?
1/4, 1, 3
Let j(n) be the second derivative of 0*n**2 - 1/9*n**4 - n - 1/30*n**5 + 0 - 1/9*n**3. Factor j(a).
-2*a*(a + 1)**2/3
Let g(c) = -c**2 - 12*c + 48. Let b be g(-15). Find i such that 7/4*i**2 - 1/4 - 1/2*i - i**b = 0.
-1/4, 1
Let f(k) = -5*k**2 + 3*k - 6. Let r(p) = -2*p**2 + p - 3. Let w(n) = -6*f(n) + 14*r(n). Suppose w(a) = 0. Calculate a.
-1, 3
Let p = 144/11 + -142/11. Determine y, given that 0 + 0*y**2 - 2/11*y**4 + p*y**3 + 0*y - 4/11*y**5 = 0.
-1, 0, 1/2
Determine l, given that 1/5*l**4 + 0 - 1/5*l**3 + 0*l - 2/5*l**2 = 0.
-1, 0, 2
Let b(d) be the second derivative of -d**6/90 + d**5/15 - d**4/6 - 4*d**3/3 - 5*d. Let t(a) be the second derivative of b(a). Factor t(w).
-4*(w - 1)**2
Let j(o) be the second derivative of o**5/180 - o**4/54 - o**3/54 + o**2/9 + 4*o. Factor j(v).
(v - 2)*(v - 1)*(v + 1)/9
Determine g, given that -1/2*g + g**3 + 1/2*g**4 - 1/2*g**5 + 1/2 - g**2 = 0.
-1, 1
Let x(y) be the second derivative of 0*y**3 - 1/10*y**5 - 2*y + 1/21*y**7 + 0*y**2 + 1/12*y**4 + 0 - 1/30*y**6. Factor x(k).
k**2*(k - 1)*(k + 1)*(2*k - 1)
Let k(g) be the first derivative of -4*g + 4 - 49/90*g**6 - 7/15*g**5 - 1/9*g**4 + 0*g**2 + 0*g**3. Let m(a) be the first derivative of k(a). Factor m(z).
-z**2*(7*z + 2)**2/3
Let c(j) be the first derivative of -j**6/60 - j**5/30 + j**4/12 + j**3/3 - j**2 + 4. Let l(x) be the second derivative of c(x). Determine p so that l(p) = 0.
-1, 1
Let q be 255/132 + (-4)/22. Solve -q*h**5 + 1/2 - h**2 + 1/2*h**4 + 7/2*h**3 - 7/4*h = 0.
-1, 2/7, 1
Let p(c) be the first derivative of 5/6*c**3 + 1/4*c**2 - 3 + 1/4*c**4 - c. Suppose p(o) = 0. What is o?
-2, -1, 1/2
Let n(j) = 3*j - 27. Let d be n(10). Let f(v) be the first derivative of 0*v**d - 1/16*v**4 + 0*v + 1 + 1/8*v**2. Factor f(u).
-u*(u - 1)*(u + 1)/4
Factor 0*l + 3/5*l**5 + 0*l**4 + 0*l**2 - 3/5*l**3 + 0.
3*l**3*(l - 1)*(l + 1)/5
Let h be 2/((-26)/(-41)) + (-12)/4. Let 0*x**3 + 0*x + 0 + h*x**2 - 2/13*x**4 = 0. What is x?
-1, 0, 1
Let o(h) be the first derivative of h**6/150 - 3*h**5/100 + h**4/30 + h + 5. Let t(b) be the first derivative of o(b). Factor t(v).
v**2*(v - 2)*(v - 1)/5
Find u such that 0 + 2/5*u**2 + 0*u - 2/5*u**3 = 0.
0, 1
Let t(z) be the second derivative of -1/9*z**4 + 4/15*z**6 - 4*z + 0 + 0*z**2 + 1/9*z**7 + 0*z**3 + 1/10*z**5. Solve t(p) = 0 for p.
-1, 0, 2/7
Let l(d) = 9*d**2 - 26*d**2 + 13*d - 9 - 39*d. Let a(i) = -11*i**2 - 17*i - 6. Let w(k) = -8*a(k) + 5*l(k). Factor w(h).
3*(h + 1)**2
Let z = 98 - 587/6. Let t(q) be the first derivative of 1/8*q**2 + 1/16*q**4 + z*q**3 + 0*q + 3. Suppose t(v) = 0. Calculate v.
-1, 0
Determine i so that 4/5*i**3 + 2/5*i**2 - 2/5*i**4 + 0 - 3/5*i**5 - 1/5*i = 0.
-1, 0, 1/3, 1
What is n in -4*n**2 + 4 + 2*n**2 + 8*n + 9*n - 19*n = 0?
-2, 1
Let y be 36/6 + 6/(-2). Suppose 0 = 4*u - 5*i - 23, 1 - 8 = -2*u + i. What is b in y + 2*b**3 + 4*b**2 - 3 + u*b = 0?
-1, 0
Determine r so that 2/7*r**3 - 2/7*r - 2/7 + 2/7*r**2 = 0.
-1, 1
Let c(l) be the first derivative of -1/36*l**4 + 0*l**2 - 2 + 2*l - 1/30*l**5 + 1/18*l**3. Let f(i) be the first derivative of c(i). Let f(t) = 0. Calculate t.
-1, 0, 1/2
Suppose 2*o + 6 = 0, 0*m - 2*o = 2*m. Suppose -m*a + 2*a = -2. Factor 2/3*s + 0 + 2/3*s**3 - 4/3*s**a.
2*s*(s - 1)**2/3
Solve 10*p**2 - 8 + 25*p + 11*p**2 - 26*p**2 - 12 = 0.
1, 4
Let c = 25/2 - 12. Factor 0*u**2 + u**3 - 1/2*u**4 - u + c.
-(u - 1)**3*(u + 1)/2
Suppose 2 = -2*o + 8. Let d(f) = 2*f - 6. Let k be d(4). Factor 1/3*p**o + 0 - 2/3*p - 1/3*p**k.
p*(p - 2)*(p + 1)/3
Let i(w) be the first derivative of -1/24*w**4 - 1/2*w**2 + 0*w + 1 + 1/120*w**6 - 1/6*w**3 + 1/60*w**5. Let v(a) be the second derivative of i(a). Factor v(k).
(k - 1)*(k + 1)**2
Let 