g, given that i(g) = 0.
-1, 0, 1
Factor -18/13*p - 2/13*p**2 + 0.
-2*p*(p + 9)/13
Let u(f) be the first derivative of 2*f**3/15 + 3*f**2/5 + 4*f/5 + 9. Find s, given that u(s) = 0.
-2, -1
Factor 3*q**2 - q**2 + 7*q - 17 + 21 - q.
2*(q + 1)*(q + 2)
Let t(m) be the third derivative of m**8/1344 + m**7/420 - m**5/120 - m**4/96 - 4*m**2. Factor t(z).
z*(z - 1)*(z + 1)**3/4
Let d(o) be the third derivative of -o**5/210 + o**4/42 - o**3/21 + 9*o**2. Let d(w) = 0. What is w?
1
Let v(a) be the second derivative of 1/360*a**5 - 1/1080*a**6 - 1/6*a**3 + 0 + 0*a**2 + 0*a**4 - a. Let g(o) be the second derivative of v(o). Factor g(l).
-l*(l - 1)/3
Let z be (-54)/(-336)*7 + -1. Factor -1/8*b**3 - z*b**2 + 1/8*b + 1/8*b**4 + 0.
b*(b - 1)**2*(b + 1)/8
Suppose -2 + 0*s**2 - 2 + 0 - s**2 + 4*s = 0. What is s?
2
Let r = 76165/1638 - 645/14. Let h = -8/39 + r. Factor 2/9*c**2 + 2/9*c**3 - 2/9 - h*c.
2*(c - 1)*(c + 1)**2/9
Let l(s) be the third derivative of -s**7/70 + s**6/56 + s**5/70 + 16*s**2 - s. Suppose l(u) = 0. Calculate u.
-2/7, 0, 1
Let v(c) be the third derivative of 1/270*c**6 - c**2 + 0*c**3 + 0 - 1/135*c**7 - 1/54*c**4 + 0*c + 7/270*c**5. Suppose v(o) = 0. What is o?
-1, 0, 2/7, 1
Let l(a) be the third derivative of 1/1155*a**7 - 1/165*a**5 - 1/330*a**6 + 1/132*a**4 + 1/1848*a**8 + 1/33*a**3 + a**2 + 0 + 0*a. Factor l(j).
2*(j - 1)**2*(j + 1)**3/11
What is d in -11*d**3 - 27*d**4 + 30*d**4 - 8*d**3 + 4*d**3 + 15*d - 18 + 15*d**2 = 0?
-1, 1, 2, 3
Let r(t) be the second derivative of -4/15*t**2 - 2/315*t**7 + 1/75*t**6 - 4/15*t**3 + 4/75*t**5 + 0 + 2*t - 1/18*t**4. Let r(j) = 0. What is j?
-1, -1/2, 2
What is g in 3*g + 14 - 25 + 11 - 3*g**2 = 0?
0, 1
Let n(p) be the third derivative of p**8/168 - 2*p**7/105 + p**5/15 - p**4/12 - 2*p**2. Factor n(s).
2*s*(s - 1)**3*(s + 1)
Let d(j) = j**3 + 3*j**2 + 5*j. Let a be d(-5). Let k = -373/5 - a. Factor 2/5*c - 2/5*c**3 + k*c**2 - 2/5.
-2*(c - 1)**2*(c + 1)/5
Let n(o) be the third derivative of 3*o**5/40 - o**4/2 + o**3 - 9*o**2. Solve n(c) = 0 for c.
2/3, 2
Suppose -k + 15 + 0 = 0. Let y be (-4)/10 + 81/k. Factor 2*t**3 - y + 2*t**5 + 5 - 4*t**4.
2*t**3*(t - 1)**2
Let s(p) be the third derivative of -p**6/480 - p**5/40 - p**4/8 - p**3/3 + 5*p**2. Determine c so that s(c) = 0.
-2
Let u be 8/12*15/2. Determine x so that -2*x**4 + 0*x**5 - x**3 - x**u + 0*x**3 = 0.
-1, 0
Let 6/7*z + 0 + 3/7*z**2 - 18/7*z**3 - 3*z**4 - 6/7*z**5 = 0. What is z?
-2, -1, 0, 1/2
Let z(k) = k**3 - 11*k - 5. Let r(m) be the first derivative of -3*m**2 - 3*m - 4. Let f(b) = 5*r(b) - 3*z(b). Find p, given that f(p) = 0.
-1, 0, 1
What is o in 4/3 - 5/6*o**2 - o = 0?
-2, 4/5
Let g = -44 - -46. Suppose -1/2*d - 1 + 1/2*d**g = 0. What is d?
-1, 2
Suppose 6*h - 8*h = -0*h. Factor -2/3*j - 2/3*j**2 + h.
-2*j*(j + 1)/3
Let a = 122 + -122. Determine h so that 2/7*h**3 + 4/7*h - 6/7*h**2 + a = 0.
0, 1, 2
Let s(v) = 3*v**3 + v**2 - v + 1. Let o be s(1). Let f be (-10)/(-8) + o + -5. Solve 1/4*m**4 + m**3 + 3/2*m**2 + m + f = 0.
-1
Let y(q) be the second derivative of q**4/3 - 4*q**3/3 + 2*q**2 + 13*q. Solve y(f) = 0.
1
Let b(f) be the third derivative of 0 + 1/30*f**6 + 1/105*f**7 - 1/6*f**4 + 0*f - 1/30*f**5 + 0*f**3 - 2*f**2. Determine p so that b(p) = 0.
-2, -1, 0, 1
Let p(v) = -2*v**3 - 5*v**2 - 5*v - 2. Let s be p(-2). Let g = -11 + 45/4. Solve 1 - u**3 - g*u**s - 3/4*u**2 + u = 0 for u.
-2, -1, 1
Let t(q) be the third derivative of q**8/1680 + q**7/210 + q**6/60 + q**5/30 + q**4/24 + q**3 + 3*q**2. Let v(u) be the first derivative of t(u). Factor v(c).
(c + 1)**4
Let r(t) = t**2 - 3*t. Let q(o) = -3*o**2 + 10*o - 1. Let x(i) = 6*q(i) + 21*r(i). Find b such that x(b) = 0.
-1, 2
Suppose 0 = -5*z + 10, -3*n = -n - 5*z + 2. Factor 1/4*p**n + 1/2*p**3 + 0 + 0*p + 0*p**2.
p**3*(p + 2)/4
Let z(k) = -10*k**2 + 2*k**4 - k - 4 - 3*k + 4*k**2. Let w(m) = 3*m**4 + m**3 - 11*m**2 - 7*m - 7. Let x(q) = 4*w(q) - 7*z(q). Factor x(o).
-2*o**2*(o - 1)**2
Let w = 1156 - 4573/4. Let x = -145/12 + w. Factor -4/3*t**3 + x*t**4 + 0*t + 0 + 2/3*t**2.
2*t**2*(t - 1)**2/3
Suppose -21 = -3*o - 3. Let v(t) be the first derivative of -20/21*t**3 - 2/7*t - 2/7*t**5 + 5/7*t**4 + 5/7*t**2 + 1/21*t**o - 1. Factor v(w).
2*(w - 1)**5/7
Factor 6/7*z + 33/7*z**2 + 0.
3*z*(11*z + 2)/7
Factor 2*c**3 - 7*c**3 + 4*c**3 - 2*c**2 + c**4 + 0*c**2.
c**2*(c - 2)*(c + 1)
Let f = 49 + -49. Let q(h) be the second derivative of -1/90*h**5 + 1/54*h**4 - h + 0*h**3 + f + 0*h**2 + 1/189*h**7 - 1/135*h**6. Solve q(g) = 0.
-1, 0, 1
Suppose -5*u + 4*j + 17 = -8, j = -3*u + 32. Factor 8*g + 10*g + 17*g**2 + 3*g**3 + 10*g**2 + 3 + u*g**3.
3*(g + 1)**2*(4*g + 1)
Let w(h) = -h**2 + h. Let s(p) = -4*p**2 + 2*p + 2. Let v(l) = s(l) - 5*w(l). Factor v(n).
(n - 2)*(n - 1)
Factor -2/13*n**5 - 4/13*n**2 + 0*n**3 + 0 + 4/13*n**4 + 2/13*n.
-2*n*(n - 1)**3*(n + 1)/13
Let x(j) be the second derivative of j**6/120 - j**5/40 + j**4/48 - 3*j. Find g such that x(g) = 0.
0, 1
Let h(g) be the first derivative of -3 - 3/2*g**2 + 1/2*g**3 + 3/2*g. Factor h(q).
3*(q - 1)**2/2
Let j be ((-2)/(-14))/(6/(-78)). Let u = j - -17/7. Factor 10/7*k**2 + 0 + u*k.
2*k*(5*k + 2)/7
Let q = -7 + 10. Factor 4*l**3 - 3*l**3 + 2*l - 4*l**q + l.
-3*l*(l - 1)*(l + 1)
Let z(q) = q + 2. Let o be z(-2). Let u = 3 - o. Find y such that -5*y**3 - 2*y**2 + y**u + 2*y**3 = 0.
-1, 0
Let v(k) be the third derivative of k**5/15 + k**4/4 + 2*k**3/3 - k**2. Let w(i) = -i. Let q(b) = -v(b) + 2*w(b). Factor q(c).
-4*(c + 1)**2
Let n(o) = 2 + 2*o + 2*o**2 - 2*o**2 + 3*o**2 + o**3. Let h be n(-2). Factor w**2 - w**2 + w**3 - w**h.
w**2*(w - 1)
Let w be (-2 + 2 - 4)*(-3)/18. Determine l so that 0 + 2*l - w*l**2 = 0.
0, 3
Solve 0 - 2/11*t**2 - 2/11*t = 0 for t.
-1, 0
Suppose -3*x + 10 = l, -4*x = -2 - 6. Let g be 2/(-4)*l/(-1). Factor -2*i**2 - 2*i**2 + g*i**2 - 3 + 5.
-2*(i - 1)*(i + 1)
Let v(b) be the second derivative of b**9/15120 - b**7/2520 + b**4/4 - 5*b. Let w(c) be the third derivative of v(c). Suppose w(g) = 0. What is g?
-1, 0, 1
Let u be (-880)/(-50) + 4/10. Let l = u + -12. Factor 4*v + 2/3 + l*v**2.
2*(3*v + 1)**2/3
Let q = 80 + -77. Suppose -2/9*x**q + 0 + 0*x - 2/9*x**2 = 0. Calculate x.
-1, 0
Let g(a) be the third derivative of a**8/378 - a**6/180 + a**5/270 + 6*a**2. Factor g(y).
2*y**2*(y + 1)*(2*y - 1)**2/9
Let g(x) be the third derivative of 64/3*x**3 - 1/60*x**6 + 0 - 4*x**4 + 0*x - 8*x**2 + 2/5*x**5. Factor g(m).
-2*(m - 4)**3
Let c(t) = 3*t**4 + 15*t**3 - 9*t**2 + 11*t - 5. Let z(x) = 4*x**4 + 22*x**3 - 14*x**2 + 16*x - 7. Let v(a) = 7*c(a) - 5*z(a). Determine r, given that v(r) = 0.
0, 1, 3
Let u be (-8)/(-14)*4/8. Let v = -7 - -10. Let 4/7*g**v + u*g**4 - 2/7*g**2 - 4/7*g + 0 = 0. Calculate g.
-2, -1, 0, 1
Solve 4/9 + 2/9*m**3 - 2/3*m + 0*m**2 = 0 for m.
-2, 1
Suppose 0*p = -10*p + 6*p. Let 4/3*o**3 + 0*o - 2/3*o**2 - 2/3*o**4 + p = 0. What is o?
0, 1
Factor -8 + d**2 - 9*d - 4*d**2 + 0*d + 2.
-3*(d + 1)*(d + 2)
Factor -q**2 + 2/3*q + 1/3*q**3 + 0.
q*(q - 2)*(q - 1)/3
Let o(j) be the second derivative of -j**5/60 - 7*j**4/36 - 8*j**3/9 - 2*j**2 - 2*j - 3. Factor o(t).
-(t + 2)**2*(t + 3)/3
Let r = -56 + 60. Factor 4/7 + 2/7*q**r - 2/7*q**3 + 2/7*q - 6/7*q**2.
2*(q - 2)*(q - 1)*(q + 1)**2/7
Let x(a) be the second derivative of 0*a**4 + 0*a**3 - 1/21*a**7 + 2/15*a**6 + 0*a**2 + 2*a - 1/10*a**5 + 0. Factor x(z).
-2*z**3*(z - 1)**2
Let l(w) = -w**3 - 9*w**2 + 1. Let i be l(-9). Factor c**3 + c + 2 - i + 3*c**2 + 2*c.
(c + 1)**3
Determine k so that 4/3 + 1/3*k**2 + 5/3*k = 0.
-4, -1
Factor -2/7 + 3/7*u - 1/7*u**2.
-(u - 2)*(u - 1)/7
Let s(m) be the second derivative of -1/30*m**6 + 0 - 7*m + 1/12*m**4 - 1/10*m**5 + 1/3*m**3 + 0*m**2. Factor s(v).
-v*(v - 1)*(v + 1)*(v + 2)
Let r(d) be the first derivative of -d**4/30 + 2*d**3/15 - 2*d + 5. Let b(t) be the first derivative of r(t). Solve b(k) = 0 for k.
0, 2
Determine o so that 0*o**4 - 40*o**3 + 35*o**2 + 173 + 4*o**4 - 29 + 17*o**2 + 240*o = 0.
-1, 6
Suppose -50 = -i + 6*i. Let k be (-6)/15*i/2. Solve q - q**k - q + 1 = 0 for q.
-1, 1
Let r(v) = 5*v**4 + 3*v**3 + 5*v**2 - 3*v - 2. Let g(f) = 9*f**4 + 6*f**3 + 9*f**2 - 6*f - 4. Let w(p) = -4*g(p) + 7*r(p). Determine q, given that w(q) = 0.
-2, -1, 1
Suppose -5*l + 15 = 2*a - a, -4*l + 3*a = 7. Let 24 - 2*j**l - 24 + 3*j + j = 