*f**3 + 2*f + f - 3*f**2 = 0. What is f?
-1, 1
Let q(d) be the first derivative of d**5/10 - 3*d**4/8 - d**3/2 + 7*d**2/4 + 3*d - 48. Let q(x) = 0. What is x?
-1, 2, 3
Suppose 0*a = -a. Suppose -o - 4*o = a. Find n, given that o*n**3 - 2*n**2 - 4*n**3 + 2*n**3 + 2*n**4 + 2*n**5 = 0.
-1, 0, 1
Factor -3/4*x + 1/4*x**2 + 0.
x*(x - 3)/4
Let t(q) = -7*q**2 - 12*q + 19. Let x(j) = -2*j**2 - 3*j + 5. Let w(z) = 6*t(z) - 22*x(z). Solve w(u) = 0.
1, 2
Let k(m) be the first derivative of 1/16*m**4 - 1/2*m**2 + 0*m**3 + 3*m + 1 - 1/80*m**5. Let z(j) be the first derivative of k(j). Suppose z(q) = 0. What is q?
-1, 2
Let 0 + 4*p**4 + 15/2*p**3 - 4*p**2 + 1/2*p**5 - 8*p = 0. Calculate p.
-4, -1, 0, 1
Let q(d) be the third derivative of 5*d**2 + 0*d**6 + 1/28*d**4 - 2/21*d**3 + 0*d + 0 - 8/735*d**7 + 1/21*d**5 - 1/392*d**8. Find t such that q(t) = 0.
-2, -1, 1/3, 1
Let f(o) be the second derivative of 7*o**5/240 - 5*o**4/96 - o**3/12 - 3*o**2/2 + 4*o. Let h(d) be the first derivative of f(d). Factor h(s).
(s - 1)*(7*s + 2)/4
Let x(y) = y**4 + 16*y**3 + 29*y**2 + 10*y. Let c(a) = -5*a**4 - 65*a**3 - 115*a**2 - 40*a. Let u(o) = 4*c(o) + 15*x(o). Factor u(v).
-5*v*(v + 1)**2*(v + 2)
Let m(z) be the first derivative of -1/8*z**3 + 0*z - 3 - 3/80*z**5 + 1/2*z**2 - 3/32*z**4 - 1/160*z**6. Let o(t) be the second derivative of m(t). Factor o(i).
-3*(i + 1)**3/4
Let v(o) be the first derivative of o**5/80 - o**3/8 + o**2/4 - 6*o - 4. Let n(y) be the first derivative of v(y). Find s, given that n(s) = 0.
-2, 1
Factor 3/4*v - 1/2 - 1/4*v**2.
-(v - 2)*(v - 1)/4
Factor 0*r + 0*r**3 + 1/3*r**2 - 1/3*r**4 + 0.
-r**2*(r - 1)*(r + 1)/3
Factor -3 - 3*f - 3*f**2 - 6*f - 3.
-3*(f + 1)*(f + 2)
What is v in 4*v**3 - 2*v**3 - 5*v**3 - 3*v**4 + 0*v**3 = 0?
-1, 0
Suppose 0 = w - 5*o + 34, -w + 0*o - o = 34. Let h = -133/4 - w. Factor 1/2*p**4 + 1/4*p**3 - 1/4*p + 1/4 - h*p**2.
(p - 1)*(p + 1)**2*(2*p - 1)/4
Let z(h) be the second derivative of -1/3*h**3 + 0 + 0*h**4 - h + 0*h**2 - 1/1800*h**6 - 1/600*h**5. Let d(w) be the second derivative of z(w). Factor d(v).
-v*(v + 1)/5
Let r(a) = -a**2 + 6*a - 3. Let u be r(5). What is w in -8 + w**2 + 2*w**3 + 3*w**u + 2*w**2 = 0?
-2, 1
Suppose -a - 4 = -2*a, 2*y - 2*a = 0. Factor -y*t**4 - t**4 - 16*t + 0*t**3 - 4 - 33*t**2 - 22*t**3 - 4*t.
-(t + 1)**2*(t + 2)*(5*t + 2)
Let w be 1*2/(-7)*(-13 - 1). Let q(g) be the first derivative of 1/8*g**w - 2 + 1/4*g**2 + 0*g - 1/3*g**3. Let q(f) = 0. Calculate f.
0, 1
Let m be 6/9 + 24/45. Factor 0*u**2 - m*u**4 + 3/5*u**5 + 0 + 0*u + 3/5*u**3.
3*u**3*(u - 1)**2/5
Suppose -4*s + 8 = 4*r, -r + 4*s + 33 = 6. Suppose -r = -3*o + 2. Factor 2*n**3 + n**4 - 4*n**o + 0*n**2 + n**2.
n**2*(n - 1)**2
Let a(s) be the second derivative of -s**6/900 - s**5/300 + s**3/3 - 2*s. Let q(r) be the second derivative of a(r). Factor q(o).
-2*o*(o + 1)/5
Let b(g) be the first derivative of -g**5/20 + g**4/8 + g**3/12 - g**2/4 - 19. Suppose b(z) = 0. Calculate z.
-1, 0, 1, 2
Let g(l) = 2*l - 41. Let t be g(22). Suppose -4/11*c**2 + 0 + 0*c + 2/11*c**5 + 4/11*c**4 - 2/11*c**t = 0. What is c?
-2, -1, 0, 1
Let b(k) = 2*k + 19. Let s be b(-8). What is q in 10 - 1 + s*q**2 - 1 - 8*q - q**2 = 0?
2
Let n = 33 - 159/5. Factor -2/5*z**4 + 0 - 2/5*z - 6/5*z**3 - n*z**2.
-2*z*(z + 1)**3/5
Let w(g) be the second derivative of -g**5/28 - g**4/12 - g**3/21 - 4*g. Factor w(c).
-c*(c + 1)*(5*c + 2)/7
Let r(a) be the second derivative of a**6/280 - 3*a**4/56 - a**3/7 - a**2 + 3*a. Let m(j) be the first derivative of r(j). Factor m(t).
3*(t - 2)*(t + 1)**2/7
Let q(t) be the second derivative of 5*t**7/98 - 11*t**6/35 + 57*t**5/70 - 8*t**4/7 + 13*t**3/14 - 3*t**2/7 + 8*t. Factor q(c).
3*(c - 1)**4*(5*c - 2)/7
Let v(a) = -a**5 + a**4 + 8*a**3 - 11*a**2 - 4*a + 1. Let p(y) = -8*y**3 + 12*y**2 + 4*y. Let j(n) = -3*p(n) - 4*v(n). Factor j(t).
4*(t - 1)**3*(t + 1)**2
Let j be 7 - (2 + -2) - -1. Let l be j/28 + 2/(-7). Suppose l - 2*c - c**2 - 1 + 1 = 0. Calculate c.
-2, 0
Determine o so that 3/2*o**5 + 0*o + 0 + 3/2*o**4 - 6*o**3 - 6*o**2 = 0.
-2, -1, 0, 2
Let d be 720/(-32)*(-1)/6. What is z in 3*z**2 + 3/2 + 3/4*z**3 + d*z = 0?
-2, -1
Let p = -6 + 19/3. Let o(u) be the first derivative of -1/4*u**2 + 2 + p*u**3 + 7/8*u**4 + 0*u + 2/5*u**5. Solve o(z) = 0.
-1, 0, 1/4
Let a = -4 - -11. Suppose a*j + 5*j + 7*j**2 - j**2 - 2*j**4 + 4 - 2*j**3 - 2*j = 0. Calculate j.
-1, 2
Let o(s) be the first derivative of -s**4/6 + 2*s**3/3 - 8*s/3 - 4. Determine y so that o(y) = 0.
-1, 2
Let s = 3 + -1. Let v(g) = 7*g**2 - 36*g + 5. Let k be v(5). Factor -a**s - 1/3*a**4 - 1/3*a + k - a**3.
-a*(a + 1)**3/3
Factor 0*p + 0 + 0*p**2 - 2/7*p**3 - 2/7*p**4.
-2*p**3*(p + 1)/7
Let x(m) be the second derivative of 1/90*m**5 + 0 + 1/36*m**4 - m + 0*m**3 + m**2. Let n(w) be the first derivative of x(w). Factor n(t).
2*t*(t + 1)/3
Let z(m) be the third derivative of m**5/60 + m**4/3 + 8*m**3/3 + 21*m**2. Determine f, given that z(f) = 0.
-4
Let r be ((-99)/(-27))/((-1)/(-3)) - -4. Let 2 + r*m**3 + 9/2*m**4 + 37/2*m**2 + 10*m = 0. Calculate m.
-1, -2/3
Suppose -4 = -p - 5. Let m be 2/(-4)*p*0. Factor -2/9*h**3 + 0*h - 2/9*h**4 + m*h**2 + 0.
-2*h**3*(h + 1)/9
Let h(o) be the first derivative of 2/35*o**5 - 3/14*o**4 + 4 - 1/7*o**2 + 2/7*o**3 + 0*o. Factor h(g).
2*g*(g - 1)**3/7
Suppose 3 - 9 = l. Let v be (-7 - l)/(-4 - 0). Find y, given that 1/2 + 0*y**2 + 3/4*y - v*y**3 = 0.
-1, 2
Let j(h) be the second derivative of -h**6/105 + h**5/35 + h**4/14 + 26*h. Let j(v) = 0. What is v?
-1, 0, 3
Let w(n) be the second derivative of n**5/210 + n**4/42 + 3*n**2/2 + 3*n. Let x(q) be the first derivative of w(q). Factor x(j).
2*j*(j + 2)/7
Let v(m) = 19*m**3 + 3*m**2 + 6*m + 7. Let h(y) = 2*y**3 + y**2 + y + 1. Let o(d) = -21*h(d) + 3*v(d). Factor o(j).
3*j*(j - 1)*(5*j + 1)
Suppose -3*f + 4 = -0*f - 2*y, 8 = f - 4*y. Let r(a) be the second derivative of -1/24*a**4 - a - 1/40*a**5 + f*a**2 + 0 + 0*a**3. Factor r(g).
-g**2*(g + 1)/2
Let s = 206 - 206. What is x in 0*x**2 + s + 2/3*x**3 + 0*x = 0?
0
Let c be 2/(-8) - (-26)/8. Factor -21*l**2 + l - 2*l - c*l - 2*l.
-3*l*(7*l + 2)
Let y = -86701/15 + 5778. Let v = -7/5 - y. Factor -1/3*h**2 - v + h.
-(h - 2)*(h - 1)/3
Suppose 5*s - 15 = 2*m - 4*m, 0 = -2*m + 2*s + 8. Suppose -19 + 4 = -m*l. Solve 9/2*q**2 + 1 - 5/2*q**l + 1/2*q**4 - 7/2*q = 0.
1, 2
Factor -14/9*x**5 + 0*x - 4/9*x**3 - 2*x**4 + 0*x**2 + 0.
-2*x**3*(x + 1)*(7*x + 2)/9
Let s(h) be the first derivative of -1/2*h**4 + 4/3*h**3 - 3 - h**2 + 0*h. Let s(r) = 0. What is r?
0, 1
Let d(v) = -v**3 - 3*v**2 - v. Let y be d(-3). Let r = 7 + y. Factor 0*z - 14*z**2 + 4*z + 0*z**2 + r*z**3.
2*z*(z - 1)*(5*z - 2)
Suppose 6*l - 4 = 4*l. Suppose 0 = w + l*w. Suppose w + 0*s + 2/9*s**2 = 0. What is s?
0
Let b(w) be the second derivative of w**6/30 - 3*w**5/20 + w**4/4 - w**3/6 - 7*w. Factor b(y).
y*(y - 1)**3
Let o(q) be the second derivative of -1/48*q**4 + 0 - 1/6*q**3 + 2*q - 1/2*q**2. Find r, given that o(r) = 0.
-2
Factor -6*y - 9/7 - 7*y**2.
-(7*y + 3)**2/7
Let j(l) be the first derivative of l**5/5 + l**4/2 - l**2 - l + 1. Let j(y) = 0. What is y?
-1, 1
Let t(z) be the second derivative of 2*z**7/7 - 13*z**6/10 - 3*z**5/20 + 13*z**4/4 - 3*z**3/2 - 7*z. Determine p, given that t(p) = 0.
-1, 0, 1/4, 1, 3
Let o(h) be the first derivative of -h**5/20 + h**4/16 + h**3/4 - h**2/8 - h/2 + 6. Solve o(j) = 0.
-1, 1, 2
Suppose -i = -4*o - 14, -4*i - o - 2*o = 1. Let b be -3*2/(-6)*2. Factor -5*n**2 + i*n**2 - 2*n + n**b.
-2*n*(n + 1)
Let 1/4*v**2 + 1/4 + 1/2*v = 0. What is v?
-1
Let r(u) be the first derivative of -u**3/3 + u + 8. Suppose r(l) = 0. What is l?
-1, 1
Let a be (-1)/(9/5 + -2). Suppose -a*d = 4*q - 41, 6*d - d = -2*q + 33. Find z, given that -3*z + z + 2*z**3 + q*z - 4*z**2 = 0.
0, 1
Let x(z) = -2*z**2 - 6*z. Let m(t) = 2*t**2 + 5*t - 1. Let d(i) = 4*m(i) + 3*x(i). Factor d(p).
2*(p - 1)*(p + 2)
Let p be (-1)/3*(-7 + -16). Suppose p*y + 7/3*y**2 + 2 = 0. What is y?
-3, -2/7
Let n(c) be the third derivative of c**10/302400 - c**9/60480 + c**7/5040 - c**6/1440 + c**5/60 - 4*c**2. Let r(p) be the third derivative of n(p). Factor r(g).
(g - 1)**3*(g + 1)/2
Suppose -2*v - 11 = -3*j, -j + 0*v - 2*v = -1. Suppose -y = -4*y + j*m + 18, -8 = 2*m. Factor -p - 8*p**3 + 3*p + 0*p**2 + 4*p**2