 1)*(i + 2)
Suppose -2*l - 4*m - 2 = 6, 19 = 2*l - 5*m. What is z in -2*z**2 + 0*z**3 - l*z**5 + 5*z**4 - 3*z**4 + 2*z**3 = 0?
-1, 0, 1
Factor -18/11*a**2 - 4/11 - 14/11*a - 10/11*a**3 - 2/11*a**4.
-2*(a + 1)**3*(a + 2)/11
Factor -4*x - 6 + 8 + 0*x + x**3 + x.
(x - 1)**2*(x + 2)
Let n(i) = 3*i**2 - 4*i. Let l(p) = -p**2 + 2*p. Suppose -5*q + 2*j + 16 + 10 = 0, 2*j = 2*q - 8. Let d(g) = q*n(g) + 14*l(g). Factor d(x).
4*x*(x + 1)
Let g(c) = c + 11. Let i be g(-8). Suppose 9 = 4*w - i. Factor -5*u**2 + 5*u**2 + 2*u**2 + w*u**3 - u.
u*(u + 1)*(3*u - 1)
Let x(r) = 8*r**5 + 52*r**4 + 52*r**3 + 8*r**2 + 7*r - 7. Let c(j) = 5*j**5 + 35*j**4 + 35*j**3 + 5*j**2 + 5*j - 5. Let l(d) = -7*c(d) + 5*x(d). Factor l(m).
5*m**2*(m + 1)**3
Let x(p) be the third derivative of 0*p**3 + 0*p - 1/135*p**6 - 7*p**2 - 1/54*p**4 - 1/945*p**7 - 1/54*p**5 + 0. Factor x(t).
-2*t*(t + 1)**2*(t + 2)/9
Let r = -1/314 + 864/157. Determine l so that -2 - 2*l + 3*l**3 - 9/2*l**4 + r*l**2 = 0.
-2/3, 1
Suppose -4*f = 11 - 111. Suppose -65 = -5*w + f. Solve d**3 + w*d**4 - d**5 - 18*d**4 = 0 for d.
-1, 0, 1
Let l(c) be the third derivative of -c**7/210 + c**6/120 + c**5/60 - c**4/24 - 6*c**2. Let l(k) = 0. What is k?
-1, 0, 1
Let p(z) be the first derivative of -z**7/160 + z**6/240 + 7*z**5/160 - z**4/16 + 2*z**3 + 5. Let m(q) be the third derivative of p(q). Factor m(v).
-3*(v - 1)*(v + 1)*(7*v - 2)/4
Determine u, given that 1/6*u - 1 + 1/6*u**2 = 0.
-3, 2
Let h(z) be the first derivative of z**7/420 - z**6/180 - z**5/60 + z**4/12 + 2*z**3/3 - 2. Let f(l) be the third derivative of h(l). Factor f(x).
2*(x - 1)**2*(x + 1)
Let r be 9/4 - (-2)/(-8). Suppose 0 = o + 3*f + f + r, -4 = -4*o - 4*f. What is t in 0*t - 3/2*t**o + 0 = 0?
0
What is j in -148/7*j**2 - 16/7 + 12*j**3 - 16/7*j**4 + 96/7*j = 0?
1/4, 1, 2
Let m = 3062/5321 + 4/313. Factor 4/17 + m*r + 6/17*r**2.
2*(r + 1)*(3*r + 2)/17
Suppose 2*x + s = -5, -2*x + 2*s = -5*x - 6. Let j = x - -7. What is w in 8*w**4 + 6*w**3 + w + 2*w**5 + w + 6*w**j + 8*w**2 = 0?
-1, 0
Suppose 4 + r**2 + 3*r**2 + 5*r + 2*r**2 - 5*r**2 = 0. What is r?
-4, -1
Let m be (-22)/(-8) + 2/8. Let g be 9/4 - 2/8. Determine b, given that b**5 - 3*b + b**4 + 2*b**2 - m*b**4 + g*b = 0.
-1, 0, 1
Let n be 3*(12/(-9) + 2). Suppose -4*w**n - 2*w + 5*w**2 + w**3 + 0*w = 0. What is w?
-2, 0, 1
Let -12/5*t - 12/5 + 3/5*t**3 + 3/5*t**2 = 0. Calculate t.
-2, -1, 2
Solve 1/3*j**4 + j + 1/3*j**2 - 2/3 - j**3 = 0.
-1, 1, 2
Factor 6*q**3 + 3/2 - 5/2*q**4 - 3*q**2 - 2*q.
-(q - 1)**3*(5*q + 3)/2
Let t be -2*69/(-33) - 6/33. Let v(j) = -j**3 - j + 4. Let o be v(0). Factor 3*i**t - i**3 - i**o + 3*i**3.
2*i**3*(i + 1)
Let d(c) = -c**3 + c**2 + c. Let w(b) = 6*b**3 - 3*b**2 - 3*b. Let o(j) = 3*d(j) + w(j). Factor o(t).
3*t**3
Suppose 4*x + 4*x = 3*x. Let f(c) be the second derivative of 1/30*c**6 - 1/12*c**4 + 0*c**2 + x - 1/20*c**5 - c + 1/6*c**3. Factor f(t).
t*(t - 1)**2*(t + 1)
Let l(v) be the first derivative of 0*v**2 + 2/3*v**4 + 0*v + 1/9*v**3 + 16/15*v**5 - 4. Factor l(o).
o**2*(4*o + 1)**2/3
Factor -9*b**3 + 16*b**3 + 4*b**2 - 8*b**3 - 5*b + b.
-b*(b - 2)**2
Let z(m) be the first derivative of -3*m**4 + 52*m**3/3 - 26*m**2 + 12*m - 4. Solve z(b) = 0.
1/3, 1, 3
Factor -225 - h**3 - h**3 + 225 + 2*h**5 + 4*h**2 - 4*h**4.
2*h**2*(h - 2)*(h - 1)*(h + 1)
Let w = 8/3 + 5/6. Factor -w*k**3 + 0 + k + 5/2*k**2.
-k*(k - 1)*(7*k + 2)/2
Let n(c) = c**3 + c**2 + c - 1. Let g(a) = 2*a**3 - 2*a. Let i(v) = -g(v) - n(v). Let m be i(-1). Factor 0*b + 2/7*b**3 + 8/7 - 6/7*b**m.
2*(b - 2)**2*(b + 1)/7
Let q(x) = -3*x**4 + 8*x**3 + x**2 - 6*x. Let l(b) = b**3 - b. Let s(t) = -6*l(t) + q(t). Let s(n) = 0. What is n?
-1/3, 0, 1
Let k(c) be the second derivative of c**7/105 - 4*c**6/75 + c**5/10 - c**4/15 - 3*c. Factor k(p).
2*p**2*(p - 2)*(p - 1)**2/5
Find g, given that 2/5*g**2 + 2/5 + 4/5*g = 0.
-1
Let b(m) be the third derivative of -m**7/140 - m**6/48 + 11*m**5/120 - m**4/16 + 5*m**2. Suppose b(o) = 0. What is o?
-3, 0, 1/3, 1
Suppose 3*z - 14 = -2*c, 0*c + 3*c - 22 = -5*z. Suppose 5*f + 2*n + 6 = -z, 5*n = 4*f - 20. Find x, given that -4/9*x**2 + 2/9*x**3 + 0*x + 2/3*x**4 + f = 0.
-1, 0, 2/3
Suppose -2*s + 6*s - s**3 + 6*s**3 - 9*s**3 = 0. What is s?
-1, 0, 1
Let r = -36 - -35. Let c be r/(-14)*(11 + -9). Find t such that 1/7*t**4 + c*t - 1/7*t**3 + 0 - 1/7*t**2 = 0.
-1, 0, 1
Let l = -5/4 - -7/4. Let t(n) be the first derivative of -3 - l*n**2 + 0*n**5 + 0*n + 1/2*n**4 - 1/6*n**6 + 0*n**3. Factor t(q).
-q*(q - 1)**2*(q + 1)**2
Let r = 16 + -12. Factor 3*s**4 + 0*s**r - 7*s**4 - s**3 + 3*s**4.
-s**3*(s + 1)
Find v, given that 4/9*v + 2/9 + 0*v**2 - 2/9*v**4 - 4/9*v**3 = 0.
-1, 1
What is n in -2*n**4 + 12*n - 2 - 7*n**4 - 10 + 21*n**2 - 7*n**3 - 5*n**3 = 0?
-2, -1, 2/3, 1
Let t(x) be the second derivative of 0 - 1/8*x**3 + 0*x**2 + 1/48*x**4 - 3*x. Factor t(c).
c*(c - 3)/4
Let w(o) be the third derivative of o**7/840 + o**6/480 - 3*o**5/80 + 11*o**4/96 - o**3/6 + 4*o**2. Factor w(t).
(t - 1)**3*(t + 4)/4
Suppose 5*l - 4*h = 32, 0 = 2*l - 3*l - h + 1. Suppose 5*q**l - 58*q**3 - 5*q**2 + 40*q**4 + 2*q**2 + 10*q**3 + 6*q = 0. Calculate q.
-1/3, 0, 2/5, 1
Let v = 1211/3 + -400. Factor -v*j + 2/3 + 3*j**2.
(j - 1)*(9*j - 2)/3
Let o(d) be the second derivative of -d**5/130 - d**4/39 - d**3/39 + 3*d + 6. Factor o(c).
-2*c*(c + 1)**2/13
Let t(l) be the third derivative of 1/108*l**4 + 0*l - 3*l**2 - 1/270*l**5 + 2/27*l**3 + 0. Factor t(f).
-2*(f - 2)*(f + 1)/9
Suppose 3*l = 12 + 3. Suppose 0*u + 2/5*u**4 - 2/5*u**2 + 0 - 2/5*u**l + 2/5*u**3 = 0. Calculate u.
-1, 0, 1
Let q(h) be the first derivative of -3 - 2/5*h**2 - 22/25*h**5 - 3/2*h**4 + 0*h - 1/5*h**6 - 6/5*h**3. Factor q(s).
-2*s*(s + 1)**3*(3*s + 2)/5
Let y(x) be the second derivative of 5*x**7/231 + x**6/55 - 17*x**5/110 - 19*x**4/66 + 4*x**2/11 + 6*x. What is v in y(v) = 0?
-1, 2/5, 2
Let t be (-126)/44 + (-9)/(-3). Let k = 53/66 - t. What is v in -2*v**3 - k + 10/3*v**2 - 2/3*v = 0?
-1/3, 1
Let i(w) be the first derivative of 7 + 0*w + 3/11*w**2 - 2/33*w**3. Factor i(d).
-2*d*(d - 3)/11
Let s(y) be the first derivative of -5*y**3/3 - 40*y**2 - 320*y + 17. Determine g, given that s(g) = 0.
-8
Let n = -5 + -1. Let k(m) = m**2 - 6*m + 5. Let a(z) be the first derivative of -z**3/3 + 7*z**2/2 - 6*z - 1. Let v(l) = n*k(l) - 5*a(l). Factor v(o).
-o*(o - 1)
Find x such that -38/5*x - 14/5*x**2 + 12/5 = 0.
-3, 2/7
Let n be (5 - 4) + (-2)/3. Let i(p) be the first derivative of -1 + 0*p - 2/9*p**3 - n*p**2. Find u such that i(u) = 0.
-1, 0
Let j(p) = -7*p**2 + 18*p - 1. Let i(x) be the third derivative of -x**5/20 + 3*x**4/8 - 8*x**2. Let b(q) = -13*i(q) + 6*j(q). Factor b(y).
-3*(y + 1)*(y + 2)
Factor 2/3*u**2 + 0 + 2*u.
2*u*(u + 3)/3
Let y(w) be the third derivative of 7*w**6/60 - 8*w**5/15 + 11*w**4/12 - 2*w**3/3 + 11*w**2. Determine m so that y(m) = 0.
2/7, 1
Suppose -88 = n + 2*l, 5*n + 6*l - 3*l + 447 = 0. Let w be (n/(-21) - 2) + -2. Factor -4/7*y**3 + 2/7*y**4 + 2/7*y**5 + 2/7*y + w - 4/7*y**2.
2*(y - 1)**2*(y + 1)**3/7
Let d be (-8)/(-4)*(-2 - -3). Suppose l = 5, 4*x + 0*x = 3*l - 15. Suppose x + 1/2*w**d + w = 0. What is w?
-2, 0
Let q(t) = 2*t**2 + 6*t + 2. Let j be q(-5). Suppose a + 0*a - 17 = -5*c, 5*a + 4*c - j = 0. Solve 0*o**5 + o**5 + 0*o**5 + o**3 + a*o**4 = 0.
-1, 0
Suppose -1/2*m**2 + 1/2*m**3 + 0 - m = 0. What is m?
-1, 0, 2
Suppose 3*y - 2*y = -2*d, -5*d + 4*y = 0. Let h = d - -1. Find a such that h - 3*a + 0*a + a**2 + a = 0.
1
Let q(x) be the first derivative of -2*x**3/3 + 2*x**2 - 2*x + 1. Find k, given that q(k) = 0.
1
Let l(z) be the first derivative of -1/5*z + 1/10*z**2 + 1/15*z**3 - 2 - 1/20*z**4. Let l(s) = 0. What is s?
-1, 1
Let -29*y**4 + 17*y**3 - 14*y**3 + 30*y**4 = 0. Calculate y.
-3, 0
Let v = 206/111 + 30/37. Find n, given that -4/3 + 4/3*n**2 + 2*n + 0*n**4 + 2/3*n**5 - v*n**3 = 0.
-2, -1, 1
Let j(i) = i**4 - 7*i**3 + 7*i**2 - 3*i + 3. Let p(x) = 3*x**4 - 20*x**3 + 20*x**2 - 8*x + 8. Let b(q) = -8*j(q) + 3*p(q). Suppose b(z) = 0. What is z?
0, 2
Let q(v) = v**2 + 5*v + 6. Let i be q(-4). Factor -i*t**4 - 4*t**2 + 4*t**3 - 2/5 + 2*t + 2/5*t**5.
2*(t - 1)**5/5
Let u(d) = 14*d**3 + 18*d**2 - 24*d - 5. Let x(h) = -14*h**3 - 18*h**2 + 24*h + 6. Let q(f) = 2*u(f) + 3*x(f). Factor q(o).
-2*(o - 1)*(o + 2)