Let v = 20547/35 - 587. Let q(g) be the first derivative of -1/7*g**4 + 2 + 0*g**3 - 2/7*g + 2/7*g**2 + v*g**5. Let q(x) = 0. What is x?
-1, 1
Let j(t) be the third derivative of -135*t**8/448 - 33*t**7/28 - 157*t**6/96 - 11*t**5/12 - 5*t**4/24 - 28*t**2. What is y in j(y) = 0?
-1, -2/9, 0
Let k(b) be the second derivative of b**6/360 + b**3/6 - 3*b. Let t(s) be the second derivative of k(s). Factor t(o).
o**2
Let k be 4/10 - 6/90. Let d = -3/28 - -37/84. Suppose 0*o**4 - k*o**5 + d*o**3 + 0*o**2 + 0*o + 0 = 0. Calculate o.
-1, 0, 1
Let s(k) be the first derivative of -k**4 + 16*k**3/3 - 8*k**2 - 3. Factor s(q).
-4*q*(q - 2)**2
Suppose -5*k + 4*k + 6 = 0. Factor -2 - i**4 + 4*i**3 - k*i**2 - i + 5*i + 1.
-(i - 1)**4
Let k(c) be the second derivative of -2*c + 0*c**4 + 2/3*c**3 - 1/5*c**5 - c**2 + 1/15*c**6 + 0. Find l such that k(l) = 0.
-1, 1
Let v(p) be the second derivative of p**6/105 - 4*p**5/35 + 8*p**4/21 + 9*p. Find f such that v(f) = 0.
0, 4
Let w(y) be the third derivative of -y**7/12600 + y**5/600 - y**4/24 - y**2. Let s(l) be the second derivative of w(l). Find p, given that s(p) = 0.
-1, 1
Let n(o) be the third derivative of o**8/1344 + o**7/420 - o**5/120 - o**4/96 - 4*o**2. Find z such that n(z) = 0.
-1, 0, 1
Let m = -5 - -8. Suppose -b = -2*q, -2*b = m*b. Factor -2/3*y**3 + 4/3*y**2 + 0*y + q.
-2*y**2*(y - 2)/3
Solve 0 + 0*a - 14/15*a**5 + 4/15*a**4 - 4/15*a**2 + 14/15*a**3 = 0.
-1, 0, 2/7, 1
Let v(p) be the third derivative of -p**7/1365 + p**5/390 + 2*p**2. Determine m so that v(m) = 0.
-1, 0, 1
Let h = -7 + 7. Let w(g) be the third derivative of h + 1/240*g**5 + g**2 + 0*g - 1/48*g**4 + 0*g**3. Solve w(c) = 0 for c.
0, 2
Factor -c**2 + 21*c + 15*c - 256 - c - 3*c.
-(c - 16)**2
Let x(k) = k**4 - 2*k**3 + 8*k**2 - 4*k + 1. Let d(f) = 8*f**4 - 15*f**3 + 65*f**2 - 32*f + 8. Let c(o) = -6*d(o) + 51*x(o). What is h in c(h) = 0?
1
Let p(q) be the second derivative of -q**4/4 - 3*q**3/2 + 5*q. Factor p(d).
-3*d*(d + 3)
Let k = -722 - -724. Factor -2/7*i**3 + 2/7 + 6/7*i**k - 6/7*i.
-2*(i - 1)**3/7
Let a = -248 + 259. Factor 2 + 35/2*b**2 - 25/4*b**3 - a*b.
-(b - 2)*(5*b - 2)**2/4
Suppose 22 = 3*t + 4*a - 0*a, -4 = -a. Let v(i) be the first derivative of 4 + 0*i - 1/3*i**3 - 1/2*i**t. Factor v(s).
-s*(s + 1)
Let g(s) be the second derivative of s**5/4 + s**4/4 - s**3/3 + 8*s. Factor g(y).
y*(y + 1)*(5*y - 2)
Let i = 11 + -8. Let z be (-1)/3 + 7/i. Let z + 2*u**3 + 4*u**2 - 6*u**4 - 2*u**5 - 4*u**3 - 2*u**3 + 6*u = 0. Calculate u.
-1, 1
Let q be -4 - (0 + -6 + -3). Suppose q*g = 3*g - 5*k, -g + k = 0. Factor 0*b + 1/3*b**2 + g.
b**2/3
Let p(j) be the first derivative of -2/5*j**5 + 0*j + 4/3*j**3 + 2*j**2 + 1 + 1/6*j**6 - 3/4*j**4. Factor p(o).
o*(o - 2)**2*(o + 1)**2
Let g(r) be the third derivative of 0*r + 0 + 3*r**2 - 1/525*r**7 + 0*r**4 - 1/150*r**5 + 0*r**3 + 1/150*r**6. Factor g(u).
-2*u**2*(u - 1)**2/5
Let y(q) = 7*q**4 - 2*q**2 - 5*q. Let s(f) be the third derivative of 11*f**7/105 - f**5/10 - 2*f**4/3 - 3*f**2. Let c(x) = -5*s(x) + 16*y(x). Factor c(n).
2*n**2*(n - 1)*(n + 1)
Let g(m) be the first derivative of -2*m**5/25 + 2*m**3/5 - 2*m**2/5 - 29. Factor g(f).
-2*f*(f - 1)**2*(f + 2)/5
Suppose -6 - 15 = -7*t. Let q(k) be the third derivative of 1/175*k**7 + 1/150*k**6 + 2*k**2 + 0 + 0*k**t + 0*k + 0*k**4 - 1/150*k**5. Factor q(c).
2*c**2*(c + 1)*(3*c - 1)/5
Let m be (-3)/(14/(-4) - -2). Let i(z) = z**3 + 4*z**2 + 2. Let q be i(-3). What is u in -q*u**2 + 4 - 1 + 8*u**m = 0?
-1, 1
Suppose 2*f - 32 = 6*f. Let i = -8 - f. Factor -1/2*t + 1/2*t**4 + i + 1/2*t**3 - 1/2*t**2.
t*(t - 1)*(t + 1)**2/2
Let a = 261/4 + -65. Let t(s) be the first derivative of -2 + a*s**4 + 0*s**3 + 0*s - 1/2*s**2. Let t(l) = 0. What is l?
-1, 0, 1
Suppose 3*q + 11 = -z, z - 3 = 2*q + 6. Let k be (-5)/30*(q - 0). Factor -k*f + 4/3 + 2/3*f**3 - 4/3*f**2.
2*(f - 2)*(f - 1)*(f + 1)/3
Let n = 868 - 182279/210. Let j(a) be the third derivative of 0*a - 2*a**2 + 1/60*a**5 + 0*a**4 + 0*a**3 + n*a**7 - 1/60*a**6 + 0. Factor j(k).
k**2*(k - 1)**2
Let f(x) be the first derivative of 2*x**3 + 3*x + 15/4*x**2 + 3/8*x**4 + 2. Factor f(v).
3*(v + 1)**2*(v + 2)/2
Let i(n) be the third derivative of -n**4/24 - n**3 - 4*n**2. Let p be i(-9). Factor f**4 + p*f**4 - f**4 + 3*f**2 + 6*f**3.
3*f**2*(f + 1)**2
Let f(k) be the second derivative of -k**7/56 - k**6/30 + k**5/10 + 3*k**4/8 + 11*k**3/24 + k**2/4 + 3*k. What is s in f(s) = 0?
-1, -1/3, 2
Let q = -52 - -313/6. What is d in q*d**3 + 1/6*d**5 + 0 + 0*d**2 + 1/3*d**4 + 0*d = 0?
-1, 0
Suppose 0 = 3*a - 2*a - 2. Suppose 0 = 2*k + a - 6. Suppose l**4 - l**2 - 3*l**4 + 2*l**2 - 5*l**k - 6*l**3 = 0. What is l?
-2, -1, 0
Let y(c) = -25*c**3 - 2*c - 1. Let i be (-1 - 6/3) + 2. Let z be y(i). Factor 4*k + 2*k**2 + 17 - 17 - z*k**4 - 18*k**3 - 10*k**5.
-2*k*(k + 1)**3*(5*k - 2)
Determine j, given that 13*j**4 + 3*j**5 + 9*j**3 + 3*j**2 - 22*j**4 - 6*j**2 = 0.
0, 1
Let v be (-1)/(-4) + (45/12 - 4). Let y(s) be the third derivative of -4/3*s**3 - 1/6*s**5 + v + 0*s + 3*s**2 - 1/60*s**6 - 2/3*s**4. Let y(u) = 0. Calculate u.
-2, -1
Suppose -6*f + 8 = -2*f. Determine g so that -4 + 0*g + 0*g**2 + f*g**2 - 2*g = 0.
-1, 2
Let u(x) be the second derivative of 0 + 3*x + 0*x**4 + 2/105*x**6 + 0*x**3 + 1/70*x**5 + 0*x**2 + 1/147*x**7. Find p, given that u(p) = 0.
-1, 0
Find p such that -p**2 + 1/3*p**3 + 2/3*p + 0 = 0.
0, 1, 2
Let d(f) be the second derivative of -3*f**5/20 - f**4/4 + f. What is y in d(y) = 0?
-1, 0
Let s = -27 - -30. Let f(h) be the third derivative of -2*h**2 + 0*h + 1/30*h**5 - 1/12*h**4 - 2/3*h**s + 0. Find t such that f(t) = 0.
-1, 2
Let j be -4 - (3 + (3 - (14 - 2))). Solve -1/4*g**5 - 1/4*g + 1/2*g**j - 1/4*g**4 - 1/4 + 1/2*g**3 = 0.
-1, 1
What is z in 3/4 - 1/4*z**2 + 1/2*z = 0?
-1, 3
Let w(o) be the second derivative of 1/5*o**3 + 1/20*o**4 + 3*o + 0 + 3/10*o**2. Solve w(a) = 0.
-1
Let -23/11*l**3 + 14/11*l**4 - 3/11*l**5 + 16/11*l**2 + 0 - 4/11*l = 0. What is l?
0, 2/3, 1, 2
Factor 19*k - 199*k + 20 + 405*k**2 + 0.
5*(9*k - 2)**2
Let j(v) be the first derivative of v**4/10 + 2*v**3/15 - 5. Factor j(t).
2*t**2*(t + 1)/5
Suppose 6*u - 3*u + 2*x - 8 = 0, 4*u - 16 = -4*x. Find p, given that -2/3*p**5 - 2/3*p**2 + 2/3*p**4 + u + 0*p + 2/3*p**3 = 0.
-1, 0, 1
Let x(z) be the third derivative of z**6/150 + 7*z**5/300 + z**4/60 - z**3/30 + 16*z**2. Let x(p) = 0. What is p?
-1, 1/4
Let w = -67 - -69. Let n(q) be the second derivative of 0 - 1/5*q**5 - 1/3*q**3 - 3/4*q**4 + 1/2*q**6 + 0*q**w - 3*q. Find j, given that n(j) = 0.
-2/5, -1/3, 0, 1
Solve -2/3 + 2/3*c**2 + 0*c = 0.
-1, 1
Let j(q) be the second derivative of -q**6/18 + q**5/15 + q**4/36 - 10*q. Factor j(w).
-w**2*(w - 1)*(5*w + 1)/3
Let i = 2/111 - -103/444. Let f(k) be the third derivative of 0*k + 0 + k**2 - i*k**4 + 1/3*k**3 - 1/60*k**6 + 1/10*k**5. Factor f(j).
-2*(j - 1)**3
Let r = 49 - 340/7. Determine w so that 12/7 + 12/7*w + r*w**2 = 0.
-2
Let 1/8*z**3 - 1/8*z**2 + 0 - 1/4*z = 0. Calculate z.
-1, 0, 2
Factor 9*c**4 - 277*c**2 + 267*c**2 + 5*c**5 + c**4 - 5*c.
5*c*(c - 1)*(c + 1)**3
Let r(k) be the first derivative of 2*k**3/3 - 8*k + 17. Let r(z) = 0. Calculate z.
-2, 2
Suppose 0 = 5*k + 34 - 4. Let b = k + 8. Factor h + 0*h**2 + h**2 - 2*h**b.
-h*(h - 1)
Factor 7 - 2*g**2 - 3 + 6*g**2 - 8*g.
4*(g - 1)**2
Suppose -20 = 4*z, 2*a + 2*z = 6*a - 10. Let w(i) be the second derivative of -2*i + 0 + a*i**2 + 1/3*i**3 + 1/6*i**4. Factor w(k).
2*k*(k + 1)
Let d(n) be the second derivative of n**8/1120 - n**6/80 - n**5/40 - 2*n**3/3 - 9*n. Let h(t) be the second derivative of d(t). Determine b so that h(b) = 0.
-1, 0, 2
Factor 0*s - 3*s**2 + 15*s**2 - 11*s**2 - 2*s.
s*(s - 2)
Suppose -6*p = -p - 25, -5*v + 3*p = 5. Suppose v*u - 6*u + 40 = 5*g, 5*u + 49 = 2*g. What is m in -15*m**4 - 9*m**2 + 4*m**4 - 12*m + 8*m**4 + g*m**3 + 12 = 0?
-1, 1, 2
Suppose 3*q = -4*o + 11, -q - o - o + 1 = 0. Let x be (-8)/6*(-3)/q. Suppose 0 + x*m - 8/9*m**4 + 2/3*m**3 + 2*m**2 = 0. What is m?
-1, -1/4, 0, 2
Let k = 2 + 2. Let i(o) be the first derivative of 0*o - 1/4*o**k + 2/9*o**6 - 1/6*o**2 - 1/3*o**5 + 2 + 5/9*o**3. Determine v so that i(v) = 0.
-1, 0, 1/4, 1
Let i(l) be the third derivative of l**7/840 - l**6/480 - l**5/80 + 5*l**4/96 - l**3/12 + l**2 - 3*l. Factor i(m).