j) be the third derivative of 3*j**2 + 0*j - 1/105*j**7 + 0 + 0*j**3 + 0*j**6 + 1/30*j**5 + 0*j**4. Solve q(d) = 0.
-1, 0, 1
Let u(i) = -i**2 - 7*i + 6. Let f(z) = z**2 + z - 1. Let s(y) = 6*f(y) + u(y). Let v be s(-1). Factor 6*p**2 + 4*p**3 - 2*p**3 - 4*p**3 + 2 - v*p + 0*p**2.
-2*(p - 1)**3
Let y(s) be the first derivative of -s**4/8 + 11*s**3/3 - 121*s**2/4 - 49. What is k in y(k) = 0?
0, 11
Let l(n) = -201*n**4 + 705*n**3 - 749*n**2 + 277*n - 32. Let o(i) = 604*i**4 - 2116*i**3 + 2248*i**2 - 832*i + 96. Let c(z) = -16*l(z) - 5*o(z). Factor c(r).
4*(r - 2)*(r - 1)*(7*r - 2)**2
Suppose 0 = 5*b + 3*r - 22, 2*b + 2*r + 2 = 7*b. Factor -d + 1/2 + 1/2*d**b.
(d - 1)**2/2
Let u = -8 - -10. Suppose -10 = -7*k + u*k. Factor -8/3 + k*d**2 - 8/3*d.
2*(d - 2)*(3*d + 2)/3
Let z(o) be the second derivative of 1/9*o**4 + 0 + 5*o + 1/3*o**2 + 1/2*o**3. Suppose z(i) = 0. What is i?
-2, -1/4
Let f(u) = u**2 + u. Let t(b) = -6*b**2 - 2 - 2*b**3 - 5*b + 2 + 3*b**3. Let m(n) = 5*f(n) + t(n). Factor m(v).
v**2*(v - 1)
Let g = -447/85 - 13612/85. Let s = 167 + g. Determine o, given that 2/5*o + 8/5*o**3 + s*o**2 + 0 = 0.
-1/2, 0
Suppose d = 3*b - 2, -2*b + 4*d + 9 = 1. Let g be 0 + (-2)/(-2) + 3. Factor -147/2*f**3 - 2*f + 343/4*f**g + b + 21*f**2.
f*(7*f - 2)**3/4
Let n(d) be the first derivative of -d**5/2 + 5*d**4/4 + 5*d**3/2 - 5*d**2 - 10*d + 1. Suppose n(j) = 0. Calculate j.
-1, 2
Suppose 0*n = 4*n - 48. Suppose -5*j + n = 2. Determine s, given that 6*s**3 - s**4 - s**4 + 0*s**3 + 4*s**4 + 6*s**j + 2*s = 0.
-1, 0
Let i(a) be the third derivative of -1/40*a**5 + 0*a + 0 + 1/2*a**3 + a**2 + 1/16*a**4. Find n, given that i(n) = 0.
-1, 2
Let 2*u**3 - 18 - 35*u - 14*u**2 - 7*u + 8*u = 0. What is u?
-1, 9
Let f(r) be the second derivative of -r**4/84 + r**3/21 + 3*r**2/14 - 5*r. Determine b, given that f(b) = 0.
-1, 3
Let s(c) = 3*c + 2. Let n be s(-4). Let z = -9 - n. Factor -4*p - 2 - 1 + z - 2*p**2.
-2*(p + 1)**2
Suppose 1/4*u**2 - 1/2*u + 1/4 = 0. What is u?
1
Let i(d) be the second derivative of -d**7/420 + 7*d**6/180 - d**5/4 + 3*d**4/4 + 5*d**3/6 + 8*d. Let g(x) be the second derivative of i(x). Factor g(l).
-2*(l - 3)**2*(l - 1)
Let b = 68 - 271/4. Find f such that -f - 1 - b*f**2 = 0.
-2
Let d(w) be the third derivative of 1/15*w**7 + 13/12*w**4 + 0 + 9/10*w**5 + 2/3*w**3 + 23/60*w**6 + 0*w + w**2. Find a, given that d(a) = 0.
-1, -2/7
Let o = 24 - 24. Let z(d) be the second derivative of -1/18*d**4 - 1/27*d**3 + 0*d**2 + o - 2*d + 2/45*d**5. What is h in z(h) = 0?
-1/4, 0, 1
Let q(m) be the second derivative of -m**7/126 + m**6/45 - m**4/18 + m**3/18 + 3*m. Determine b, given that q(b) = 0.
-1, 0, 1
Let x(y) be the third derivative of -y**7/105 - y**6/60 - y**2. Find t, given that x(t) = 0.
-1, 0
Let f = -3 + -2. Let y be (-4)/f*(-25)/(-10). What is a in 0*a**3 + 2*a**3 - a**2 + 3*a**y = 0?
-1, 0
Let g(f) be the third derivative of f**6/120 + f**5/20 - 2*f**3/3 + 29*f**2. Factor g(k).
(k - 1)*(k + 2)**2
Factor -67 + 211 + 4*k**2 + 9*k - 57*k.
4*(k - 6)**2
Let p(b) be the first derivative of -3 - 1/3*b**3 + 1/6*b**2 + 2/3*b. Find r such that p(r) = 0.
-2/3, 1
Suppose 15 = 4*x - 7*x. Let q = x - -8. Factor -s - q*s**3 - 10*s**2 - 3*s**3 - 3*s.
-2*s*(s + 1)*(3*s + 2)
Suppose 2*h - 6 = -h. Let o be 1*((-15)/6)/(-5). Factor 0*g + 0*g**3 + g**h - o - 1/2*g**4.
-(g - 1)**2*(g + 1)**2/2
Let t(i) be the second derivative of i**4/60 + i**3/20 - i**2/10 - 2*i. Solve t(a) = 0.
-2, 1/2
Let a(c) be the third derivative of 1/168*c**8 - 1/30*c**5 - 1/35*c**7 + 0 + 1/20*c**6 + 3*c**2 + 0*c**3 + 0*c + 0*c**4. Factor a(u).
2*u**2*(u - 1)**3
Let m be 4/(-6) + (-8)/(-3). Let b = m + 0. Factor 2*o + 4 - 2*o**4 + b*o**2 - 4 - 2*o**3.
-2*o*(o - 1)*(o + 1)**2
Factor -9*u - 45*u**2 + 6*u**4 - 58*u**2 - u**5 + 2 - 14*u**3 + 119*u**2.
-(u - 2)*(u - 1)**4
Let t(i) be the third derivative of 49/120*i**6 + 0*i - 7/20*i**5 + 0 - i**4 - 3*i**2 - 2/3*i**3. Factor t(l).
(l - 1)*(7*l + 2)**2
Let z(a) = a**2 - 8*a + 3. Let y be z(8). Let l = -88 - -355/4. Factor 1/2*u**2 + l*u - 1/4*u**5 - 3/4*u**4 - 1/2*u**y + 1/4.
-(u - 1)*(u + 1)**4/4
Let p(k) = 2*k - 2. Let i be p(2). Suppose r = -3*w - i*w + 15, 3 = w - 2*r. Suppose -2/3 - 5/3*d**w - 3*d**2 - 7/3*d - 1/3*d**4 = 0. Calculate d.
-2, -1
Let r = -7 - -7. Suppose -f - 3*v + 16 = r, -v - 8 = 2*f - 3*v. Let 0*n**4 + 0*n**2 + n**5 - 2*n**2 - f + 2 + n**4 + n - 2*n**3 = 0. Calculate n.
-1, 1
Let o be 81/81 - (-2)/6. Factor -2/3*z - 2/3*z**2 + o.
-2*(z - 1)*(z + 2)/3
Let a(w) be the second derivative of -4*w - 1/7*w**2 + 1/70*w**5 + 0 - 1/21*w**3 + 1/42*w**4. Suppose a(y) = 0. Calculate y.
-1, 1
Solve -72*x + 162/5 + 2/5*x**4 - 8*x**3 + 236/5*x**2 = 0.
1, 9
Let n(f) be the third derivative of 0*f**4 + 0*f**3 + 4*f**2 + 3/140*f**7 + 0*f - 1/80*f**6 + 1/56*f**8 + 0*f**5 + 0. Solve n(t) = 0 for t.
-1, 0, 1/4
Determine d, given that 0*d**2 + 4/7*d**3 - 2/7*d + 0*d**4 - 2/7*d**5 + 0 = 0.
-1, 0, 1
Let n = 1 - -1. Solve 0*j**2 + 8*j - 2*j**2 - j**2 - 3 - n*j = 0.
1
Solve 1/8*q**3 - 3/8*q**2 + 1/2 + 0*q = 0 for q.
-1, 2
Let o(f) = -5*f**2 - 8*f + 3. Let q(n) = -8*n**2 - 15*n + 5. Let a(p) = -5*o(p) + 3*q(p). Factor a(l).
l*(l - 5)
Let h(y) be the second derivative of -y**6/195 + y**5/65 - y**4/78 + 15*y. Solve h(m) = 0 for m.
0, 1
Factor 10*d**3 - 3*d**4 - 10*d + 9 - 4 - 2*d**4.
-5*(d - 1)**3*(d + 1)
Let v(b) = -3*b - 4. Let c be v(-3). Suppose c*f = -0*f - x + 15, -2*f + 14 = 2*x. Let f*y + 0*y**2 - y**2 - 3*y = 0. Calculate y.
-1, 0
Suppose 11*w = 6*w + 10. Factor 2/9*q**w + 0 - 4/9*q**3 - 2/9*q**4 + 4/9*q.
-2*q*(q - 1)*(q + 1)*(q + 2)/9
Solve 0*v**2 + 0*v + 0 - 1/4*v**3 = 0.
0
Let h(k) = -k**2 - k - 1. Let l(m) be the first derivative of -1 + 2*m + 2*m**3 + 5/2*m**2. Let x(f) = -3*h(f) - l(f). Find s, given that x(s) = 0.
-1, 1/3
Let u(i) be the third derivative of -i**5/45 - 5*i**4/18 - 27*i**2. Factor u(o).
-4*o*(o + 5)/3
Let -13328*g**3 - 64 - 871*g + 53*g - 3459*g**2 - 1693*g**2 - 110*g - 4802*g**5 - 15092*g**4 = 0. What is g?
-2, -2/7
Let i = 4/27 + 1/54. Let a(v) be the first derivative of -1/15*v**5 + 2/9*v**3 - 1/3*v + 1/6*v**4 - i*v**2 - 1/18*v**6 + 2. Factor a(z).
-(z - 1)**2*(z + 1)**3/3
Let a(t) be the third derivative of t**7/4 - 59*t**6/80 + 7*t**5/10 - t**4/4 + 7*t**2. Let a(j) = 0. What is j?
0, 2/7, 2/5, 1
Let v(x) = -x**3 + 5*x**2 - 3*x. Let l be v(4). Suppose t = -2*t + 15. What is w in -8/5*w**2 + 0*w + 26/5*w**l + 24/5*w**3 - 42/5*w**t + 0 = 0?
-2/3, 0, 2/7, 1
Let p be 3*(-8)/(-36) + (-16)/42. Suppose -c + 0 - 3 = -3*r, 6 = 3*r. Factor 2/7 - p*y**2 + 2/7*y**c - 2/7*y.
2*(y - 1)**2*(y + 1)/7
Let r(c) be the first derivative of c**2 - 4 - 1/2*c**4 + 2*c - 2/3*c**3. Factor r(t).
-2*(t - 1)*(t + 1)**2
Let n(y) be the first derivative of 1/4*y**4 - 1/2*y**2 - 4 - 1/3*y**3 + 1/5*y**5 + 0*y. Factor n(u).
u*(u - 1)*(u + 1)**2
Let n = -1 + 4. Factor 6*x**n - 6*x + x**4 + 1 + 0*x + 2*x**2 - 5 + x**4.
2*(x - 1)*(x + 1)**2*(x + 2)
Let a(s) be the first derivative of s**3 - 3/2*s**2 + 0*s - 1. Factor a(v).
3*v*(v - 1)
Let z(v) be the first derivative of 25*v**4/18 - 340*v**3/27 + 124*v**2/9 - 16*v/3 + 48. Factor z(j).
2*(j - 6)*(5*j - 2)**2/9
Let l(g) = -g**3 + 6*g**2 + 2*g - 12. Let o be l(6). Let u(i) be the second derivative of i - 1/6*i**4 + 0 + 1/3*i**3 + o*i**2. Factor u(p).
-2*p*(p - 1)
Let m(g) = -g**3 - 3*g**2 + 3*g - 2. Let y be m(-4). Factor d - 3*d**3 - 3*d**2 + 0*d**y - d.
-3*d**2*(d + 1)
Let l(t) be the first derivative of t**6/6 - t**4/2 + t**2/2 + 51. Factor l(d).
d*(d - 1)**2*(d + 1)**2
Suppose 5*q**2 + 1 + 6 - 3 - 3*q**2 + 6*q = 0. What is q?
-2, -1
Suppose -8*b = -3*b - 15. Let g(s) be the first derivative of 2/15*s**5 - 1 + 0*s**2 + 1/12*s**4 + 0*s**b + 0*s. Factor g(t).
t**3*(2*t + 1)/3
Let v(j) = j**3 - 11*j**2 - 2*j + 16. Let d be v(11). Let k be 27/(-6)*16/d. Solve -7*t**2 + t**3 + k*t**3 - 2*t**2 + 3*t - 4*t**3 - 3*t**4 = 0.
0, 1
Factor 425*u**2 - 85*u**3 + 2*u**4 + 2*u**4 + 25*u**2 + u**4 - 540*u - 1080.
5*(u - 6)**3*(u + 1)
Suppose -19*n - 2*n = 24*n. Determine d so that -8*d**2 - 14/5*d**4 + 8/5*d + n + 46/5*d**3 = 0.
0, 2/7, 1, 2
Find y such that -24*y**3 - 3*y**5 + 16*y**2 - y**5 + 16*y**4 + 2*y - 6*y = 0.
0, 1
Let s = 14929/48 - 311. Let i(z) be the second derivative of 0 + s*z**4 + 1/4*z**2 - 2*z + 1/8*z