2 - i**2 + 3*i + d*i**3 + 10*i**2 = 0. What is i?
-1, 0
Let i be 6/((-2)/(-6)*3). Suppose -d + 3*b + 12 = 0, -b - i + 2 = d. Factor 4 - 4 + 2*w**2 + 4*w**4 - 6*w**3 + d*w**2.
2*w**2*(w - 1)*(2*w - 1)
Suppose -2*o + 5*o - 12 = 0. Solve 8*t + o - 4*t - 4 + 2*t**3 + 6*t**2 = 0 for t.
-2, -1, 0
Let m(d) be the second derivative of 8*d**7/105 - 4*d**6/75 - 7*d**5/100 - d**4/60 + 2*d. Factor m(q).
q**2*(q - 1)*(4*q + 1)**2/5
Let d be -1 + 2 - (-1 - 2). Let u be 12*(1 + 6/(-8)). Factor -3*c**3 + 5*c**3 + c**u + 3*c**5 - 3*c**2 + 15*c**d + 6*c**5.
3*c**2*(c + 1)**2*(3*c - 1)
Suppose 2*o + 37 = 5*t + 86, -3*t = -5*o + 113. Suppose o = 5*f + 4*i + 8, 0 = -5*f + 5*i + 5. What is m in 1 + 0*m - 3*m + 2*m**f + 5*m - 5 = 0?
-2, 1
Solve -13*k - 8 + 12*k**2 + k - 8*k = 0.
-1/3, 2
Suppose -3*m + 4*j - 14 = 0, 25 = 7*j - 2*j. Solve d**3 - d - m - 2*d - 2 + 6 = 0.
-2, 1
Let f(a) be the third derivative of -8/9*a**4 - 1/90*a**6 + 8/45*a**5 + 0*a**3 + 0 + 0*a - 8*a**2. Solve f(g) = 0.
0, 4
Let n = -1343/6 - -224. Factor 0 - 1/3*t + n*t**2.
t*(t - 2)/6
Let b = -232/3 + 78. Let x = -9 + 11. Factor 2/3 + b*f - 4/3*f**x.
-2*(f - 1)*(2*f + 1)/3
Suppose w - w = -6*w. Suppose 1/2*y**2 + w - 1/4*y**3 - 3/4*y**4 + 0*y = 0. Calculate y.
-1, 0, 2/3
Suppose 0 = 23*j - 34 - 12. Suppose -1/6*q**5 - 1/3*q**j + 1/6*q**4 + 1/3*q**3 - 1/6*q + 1/6 = 0. What is q?
-1, 1
Suppose 24 + 617*c - 11*c**2 - 3*c**3 + 2*c**2 - 599*c = 0. Calculate c.
-4, -1, 2
Factor 14*q - 1556 - 2*q**2 - 54*q + 1356.
-2*(q + 10)**2
Let z be (6/(-8))/(4/(-16)). Suppose -3*x - 17 = -j, -z*x = -7*x - 20. Solve -2*c - 4*c**2 + 4*c**4 + 2*c - c - c + j*c**5 = 0 for c.
-1, 0, 1
Let l(p) be the first derivative of 3/20*p**4 + 1/5*p**3 - 3/10*p**2 + 3 - 3/5*p. Factor l(m).
3*(m - 1)*(m + 1)**2/5
Let h(n) = n**2 - 6*n + 1. Let w be h(4). Let i be ((-4)/(-6))/(w/(-21)). Solve -i*s**3 + 3*s + 0*s**2 - s + 2*s**2 - 2 + 0*s**3 = 0 for s.
-1, 1
Factor -3/4*d + 3/4*d**2 + 7/4*d**3 - 1/2 + 3/4*d**4.
(d + 1)**3*(3*d - 2)/4
Suppose 2/3*v - 5/3*v**2 + 7/3*v**5 - 3*v**3 + 0 + 5/3*v**4 = 0. Calculate v.
-1, 0, 2/7, 1
Let k(a) be the first derivative of 4*a**5/5 - 8*a**3/3 + 4*a - 7. Let k(o) = 0. What is o?
-1, 1
Let s = 4 + -10. Let r be (s/(-4))/(1/2). Factor 5*i - 16*i**2 + 5 - 2*i**3 + 11*i**r - 3.
(i - 1)**2*(9*i + 2)
Let z be (0*(-3)/3)/1. Suppose 0*t + 5*t - 15 = z. Factor -2*h**t + 0*h**2 - 49/2*h**5 + 14*h**4 + 0*h + 0.
-h**3*(7*h - 2)**2/2
Solve -4*o**5 + 4*o**3 + 2 - 2 = 0 for o.
-1, 0, 1
Let y be 16/36*2/4. Find z such that 0 + 2/9*z**3 - 4/9*z - y*z**2 = 0.
-1, 0, 2
Let o be 2/(-5)*1*-20. Let i(y) be the third derivative of 2*y**2 + 0 + 1/120*y**6 + 0*y**4 + 1/336*y**o + 0*y**5 + 0*y**3 + 0*y + 1/105*y**7. Factor i(w).
w**3*(w + 1)**2
Find h, given that 0 - 3/4*h**4 + h**3 + 17/4*h**2 - 3/2*h = 0.
-2, 0, 1/3, 3
Find w, given that -2*w + 8*w**2 - 4*w**2 + 6*w**3 - 2*w**3 + 0*w - 2 - 2*w**4 - 2*w**5 = 0.
-1, 1
Let q(x) be the first derivative of 1 + 1/2*x**4 + 0*x**2 + 0*x - 2/5*x**5 + 0*x**3. Find v, given that q(v) = 0.
0, 1
Let o(x) be the third derivative of 9*x**8/112 + 24*x**7/35 + 97*x**6/40 + 47*x**5/10 + 11*x**4/2 + 4*x**3 + 62*x**2. Suppose o(s) = 0. Calculate s.
-2, -1, -2/3
Let w(c) be the first derivative of 0*c**2 + 0*c - 7/18*c**6 + 5/6*c**5 + 3 - 13/24*c**4 + 1/9*c**3. Suppose w(t) = 0. Calculate t.
0, 2/7, 1/2, 1
Let l be -1 + (-2)/2 + 7. Let f = l - 3. Find x, given that f*x**2 + 0*x - 2 - 2*x**3 + 0*x**2 + 2*x = 0.
-1, 1
Let b(j) be the second derivative of -j**9/5040 - j**8/480 - j**7/126 - j**6/90 - j**4/12 - j. Let m(s) be the third derivative of b(s). Factor m(t).
-t*(t + 2)**2*(3*t + 2)
Let d(f) be the second derivative of -5*f**4/12 + 5*f**3/6 - 30*f. Determine k, given that d(k) = 0.
0, 1
Determine z, given that -9/5*z**2 + 0 + 6/5*z + 3/5*z**3 = 0.
0, 1, 2
Let c be (13/4 + 0)*-20. Let w = 133/2 + c. Factor -w*h**3 - 1/2*h + 0 + 9/2*h**4 - 5/2*h**2.
h*(h - 1)*(3*h + 1)**2/2
Let v(r) be the second derivative of -r**6/195 + r**4/78 - 39*r. Factor v(b).
-2*b**2*(b - 1)*(b + 1)/13
Let z(i) be the second derivative of -i**5/35 - 5*i**4/7 - 50*i**3/7 - 250*i**2/7 + 18*i. What is y in z(y) = 0?
-5
Suppose 62 + 42 = 4*s. Let p = -76/3 + s. Factor 8/3*g**2 - 10/3*g - p*g**3 + 4/3.
-2*(g - 2)*(g - 1)**2/3
Factor 1/4*y**5 + 0 + 1/2*y**3 + 0*y**2 + 0*y - 3/4*y**4.
y**3*(y - 2)*(y - 1)/4
Let j = 127/3 - 42. Factor -b**2 + 0 - j*b**4 - b**3 - 1/3*b.
-b*(b + 1)**3/3
Let q(t) be the second derivative of -t**6/6 + 5*t**5/4 - 5*t**4/2 - 42*t. Suppose q(k) = 0. What is k?
0, 2, 3
Let v be (-4)/(-12) - (-20)/12. Factor -4/3*l + 6*l**v + 0 - 14/3*l**3.
-2*l*(l - 1)*(7*l - 2)/3
Factor -9/5 + 1/5*a**2 + 8/5*a.
(a - 1)*(a + 9)/5
Let k(p) be the second derivative of p**6/24 - 11*p**5/40 + 7*p**4/12 - p**3/3 - 6*p. Factor k(u).
u*(u - 2)**2*(5*u - 2)/4
Let o(w) be the first derivative of 0*w - 1/6*w**6 - 3*w**4 - 2 + 0*w**2 - 6/5*w**5 - 8/3*w**3. Factor o(z).
-z**2*(z + 2)**3
Let z = 2053/3 - 650. Let b = z + -31. Solve 0*h + 2/3*h**2 - 2*h**5 + 0 - b*h**3 + 14/3*h**4 = 0.
0, 1/3, 1
Let p(j) = 4*j**3 - 4*j**2 - 6*j + 4. Let s(g) = -g. Let z(b) = p(b) - 2*s(b). Find y, given that z(y) = 0.
-1, 1
Let l(v) = -9*v + 56. Let c be l(6). Factor 0*i**2 + 0 - 2*i**3 + 0*i - 1/2*i**5 - c*i**4.
-i**3*(i + 2)**2/2
Let k(p) be the second derivative of 3*p**5/140 + p**4/7 + 5*p**3/14 + 3*p**2/7 - p. Factor k(a).
3*(a + 1)**2*(a + 2)/7
Let k(y) be the second derivative of y**6/30 - y**5/10 + 4*y. Determine d so that k(d) = 0.
0, 2
Let k(j) be the third derivative of -2*j**5/15 + 3*j**4/4 - 2*j**3/3 - 8*j**2. What is n in k(n) = 0?
1/4, 2
Determine f so that 209 + 0*f + 0*f - 2*f**2 - 207 = 0.
-1, 1
Let x(o) be the third derivative of 0*o + 1/2*o**4 + 1/10*o**6 + 3/10*o**5 + 0 + 1/70*o**7 + 2*o**2 + 1/2*o**3. Suppose x(p) = 0. Calculate p.
-1
Let w = -19 - -34. Suppose w = -u + 6*u. Determine j, given that 2*j - 2*j**3 + u*j**2 - 3*j**2 = 0.
-1, 0, 1
Let r(g) be the first derivative of g**5/25 + g**4/5 + 4*g**3/15 - 12. Factor r(z).
z**2*(z + 2)**2/5
Let m(o) = 20*o**4 + 40*o**3 - 14*o**2 - 40*o - 6. Let d(w) = -7*w**4 - 13*w**3 + 5*w**2 + 13*w + 2. Let f(j) = -14*d(j) - 4*m(j). Factor f(r).
2*(r - 1)*(r + 1)**2*(9*r + 2)
Let j(i) be the third derivative of -i**5/60 - i**4/6 + i**3/3 - 4*i**2. Let d be j(-4). Let -8/5*m - 12/5*m**d - 2/5 - 2/5*m**4 - 8/5*m**3 = 0. What is m?
-1
Let b be 0*2*(-1)/2. Factor -1/2*y**2 + b + 0*y + 1/4*y**3.
y**2*(y - 2)/4
Let r(q) be the first derivative of -q**6/48 + q**4/32 - 14. Solve r(g) = 0.
-1, 0, 1
Let u be (-84)/(-90) - (1 + 0). Let j = u - -2/5. Factor 1/3 - j*y + 1/3*y**3 - 1/3*y**2.
(y - 1)**2*(y + 1)/3
Let u(l) be the second derivative of l**6/15 - l**5/10 - l**4/6 + l**3/3 - 5*l. What is s in u(s) = 0?
-1, 0, 1
Let g(v) be the first derivative of -v**5/25 + v**4/4 - 3*v**3/5 + 7*v**2/10 - 2*v/5 + 26. Solve g(b) = 0.
1, 2
Let g(d) be the third derivative of -d**5/160 + d**4/8 + 30*d**2. Factor g(v).
-3*v*(v - 8)/8
Suppose 40 = -4*q - q. Let g be (-1)/(-14)*-2*q. Factor -2/7*p**2 - g - 8/7*p.
-2*(p + 2)**2/7
Let l(n) be the second derivative of -5*n**4/12 + 5*n**3 - 25*n**2/2 + 68*n. Let l(r) = 0. What is r?
1, 5
Solve 0*l**4 + 1/2*l**5 + 0*l**2 + 1/2*l + 0 - l**3 = 0 for l.
-1, 0, 1
Let r be 6/(-4) + (-2)/4. Let h be r + 5 + (-6)/(-3). Factor -1/5*d**h + 2/5*d**2 + 0 + 0*d**3 + 1/5*d - 2/5*d**4.
-d*(d - 1)*(d + 1)**3/5
Let c(d) be the third derivative of -3*d**6/40 - d**5/5 - d**4/8 + 27*d**2. Solve c(q) = 0 for q.
-1, -1/3, 0
Let p(f) be the first derivative of 0*f**2 + f**3 + 0*f - 3 + 3/4*f**4. Factor p(t).
3*t**2*(t + 1)
Let d(f) be the third derivative of f**7/315 + f**6/90 + f**5/90 + 3*f**2. Factor d(m).
2*m**2*(m + 1)**2/3
Let a(f) = -33*f**3 - 108*f**2 - 72*f - 12. Let w(i) = 8*i**3 + 27*i**2 + 18*i + 3. Let x(m) = 4*a(m) + 15*w(m). Determine k, given that x(k) = 0.
-1, -1/4
Solve 0*y**2 + 2/15*y**4 + 2/3*y**3 + 0 + 0*y = 0 for y.
-5, 0
Let q(f) be the second derivative of -f**5/30 + f**4/3 - 8*f**3/9 - 12*f. Factor q(g).
-2*g*(g - 4)*(g - 2)/3
Let z(h) = h**5 - 10*h**4 + 2*h**3 - 8*h**2 + 5. Let m(s) = -4*s**2 + 3*s**2 + 0*s - s**3 + 1 + 0*s - s**4. Let l(o) = 5*m(o) - z(o). Factor l(r).
-r**2*(r - 3)*(r - 1)**2
Factor -18*y**2 - 104*y + 3 + 90*y + 1.
-2*(y + 1)*(9*y - 2)
Let