*7/105 + v**6/5 - 3*v**5/10 + v**4/6 + 14*v**2. What is a in r(a) = 0?
0, 1/2, 2
Find d, given that -3 - 30*d**2 + 14*d**2 + 1 + 18*d**2 = 0.
-1, 1
Let m = 46 + -31. Let x = m - 11. What is u in -2/7*u**x + 0 + 2/7*u**3 + 2/7*u**2 - 2/7*u = 0?
-1, 0, 1
Let -3*r**2 - r + r + 6*r = 0. Calculate r.
0, 2
Let z(w) be the third derivative of -w**6/165 - w**5/110 + w**4/132 + 14*w**2. Suppose z(g) = 0. What is g?
-1, 0, 1/4
Let x(t) be the first derivative of -4*t**2 + 0*t - 5/2*t**4 + 16/3*t**3 - 3 + 2/5*t**5. Factor x(c).
2*c*(c - 2)**2*(c - 1)
Let z(q) be the first derivative of q**5/90 + q**4/54 - q**3/27 - 3*q**2/2 - 2. Let y(m) be the second derivative of z(m). Factor y(k).
2*(k + 1)*(3*k - 1)/9
Factor 0 + 16/3*v**3 + 4*v**2 - 4/3*v.
4*v*(v + 1)*(4*v - 1)/3
Suppose -4*l = -33*l. Determine o so that l*o - 4/3*o**2 + 7/3*o**4 - 4*o**3 + 0 = 0.
-2/7, 0, 2
Let j(y) be the second derivative of 1/6*y**3 - 1/12*y**4 + 0 + y**2 + 2*y. Factor j(p).
-(p - 2)*(p + 1)
Let q(p) be the second derivative of 0*p**2 + 1/4*p**4 + p + 0*p**3 + 0. Determine o, given that q(o) = 0.
0
Let y be (2/(-6))/(3/(-6)). Let s(l) be the first derivative of -2 - y*l**3 + 1/2*l**4 + 0*l + 0*l**2. Solve s(x) = 0.
0, 1
Let f be (-78)/(-116) - (-6)/(-9). Let b = 155/58 - f. Let -8/3*u**3 + b*u - 1/3 + 16/3*u**4 - 5*u**2 = 0. Calculate u.
-1, 1/4, 1
Let z(w) be the first derivative of -5*w**4/36 - w**3/6 + w**2/3 - 5*w - 1. Let u(r) be the first derivative of z(r). Factor u(n).
-(n + 1)*(5*n - 2)/3
Let k(a) be the third derivative of 3*a**2 + 1/180*a**6 + 1/15*a**5 + 1/3*a**4 + 0 + 8/9*a**3 + 0*a. Factor k(o).
2*(o + 2)**3/3
Let x(p) = 3*p + 3. Let n be x(-12). Let u = n + 67/2. Factor -1/2*t + u*t**5 - t**2 + t**4 + 0*t**3 + 0.
t*(t - 1)*(t + 1)**3/2
Let p(o) be the second derivative of -o**5/40 - o**4/24 + o**3/6 - 21*o. Factor p(b).
-b*(b - 1)*(b + 2)/2
Factor -12*a**2 - 4/3*a**3 - 36 - 36*a.
-4*(a + 3)**3/3
Let s(x) = -2*x**2 + 2*x - 5. Let n(c) = -1 - 3 + c**2 + 6 - c. Suppose 5*w = -g - 19, -4*w - g = g + 14. Let z(y) = w*s(y) - 9*n(y). What is i in z(i) = 0?
-1, 2
Suppose 4 = 2*u - 2. Let x be 15/(-10)*4/(-9). Let 0 + 4/3*c - 2/3*c**u + x*c**2 = 0. What is c?
-1, 0, 2
Let t be (-1)/((-143)/(-39) + -1*4). Let y(w) be the first derivative of 0*w + 11/15*w**5 + 1/9*w**3 - t - 1/6*w**2 + 3/4*w**4 + 2/9*w**6. Factor y(h).
h*(h + 1)**3*(4*h - 1)/3
Suppose h = -0 + 2. Let a be (1 - h)/((-2)/6). Factor -b**5 - 3*b**3 - b**2 - 5 - a*b**4 + 5.
-b**2*(b + 1)**3
Suppose -2*a - 3*a + 25 = 0. Let c(s) be the first derivative of -3/4*s**4 - 3 - 1/6*s**6 + 0*s**2 + 3/5*s**a + 1/3*s**3 + 0*s. Suppose c(j) = 0. What is j?
0, 1
Let v(u) be the second derivative of 0*u**3 + 0*u**2 - 1/168*u**7 - 1/80*u**5 + 0 - 3*u + 1/60*u**6 + 0*u**4. Factor v(r).
-r**3*(r - 1)**2/4
Factor -3/4*v**3 + 3/4*v**2 - 3/4*v**4 + 0 + 3/4*v**5 + 0*v.
3*v**2*(v - 1)**2*(v + 1)/4
Let j be 1*18/6 + (-11)/4. Factor 0 + 1/4*p**3 + 0*p - j*p**2.
p**2*(p - 1)/4
Let k(m) be the third derivative of 1/270*m**5 + 1/27*m**3 + 0*m + 1/54*m**4 + 0 - 2*m**2. Let k(f) = 0. What is f?
-1
Let m(u) = u**2. Let y(z) = z**3. Let x(v) = -20*m(v) + 5*y(v). Solve x(s) = 0 for s.
0, 4
Find q such that 0 + 2/3*q**2 + 8/3*q = 0.
-4, 0
Let n = -4 + 7. Let w(g) be the third derivative of -n*g**2 + 0*g + 1/210*g**7 + 0 + 1/3*g**3 - 1/120*g**6 - 1/20*g**5 + 1/24*g**4. Find q such that w(q) = 0.
-1, 1, 2
Let y(x) be the second derivative of -x**5/120 + x**4/24 - x**3/12 - 3*x**2/2 + 2*x. Let p(q) be the first derivative of y(q). Factor p(k).
-(k - 1)**2/2
Let l(w) = w**2 - 2*w - 5. Let r be l(4). Let o(u) be the second derivative of -1/27*u**4 + u + 0*u**2 - 1/90*u**5 + 0 - 1/27*u**r. Factor o(y).
-2*y*(y + 1)**2/9
Let m(x) = 3*x**4 + 2*x**3 - 5*x**2 + 5*x + 5. Let a(j) = j**4 - j**2 + j + 1. Let h(i) = 10*a(i) - 2*m(i). What is c in h(c) = 0?
0, 1
Let y be (-4)/8 - (0 + (-14)/12). Let x(t) be the first derivative of -3 + t**2 + 0*t + y*t**3. Factor x(p).
2*p*(p + 1)
Let c(k) be the first derivative of -2*k**3/51 - 4*k**2/17 - 6*k/17 - 32. Factor c(v).
-2*(v + 1)*(v + 3)/17
Suppose 4*c = c. Let b = -132 + 136. Let -46/3*z**b + 14/3*z**5 - 26/3*z**2 + 18*z**3 + 4/3*z + c = 0. Calculate z.
0, 2/7, 1
Let h(a) = 7*a**4 - 8*a**3 - 30*a**2 - 32*a - 1. Let j(i) = -i**4 + i**2 + i - 1. Let z(u) = 3*h(u) + 24*j(u). Factor z(s).
-3*(s + 1)**2*(s + 3)**2
Let q(l) be the second derivative of l**4/2 + 26*l**3/3 - 9*l**2 - 31*l. Factor q(o).
2*(o + 9)*(3*o - 1)
Let d be ((-33)/(-4))/(18/16). Let t = d - 7. Find j such that 0*j**3 + 0 + 0*j - t*j**2 + 1/3*j**4 = 0.
-1, 0, 1
Suppose -n - 1 - 61 = 0. Let d = -42 - n. Suppose -24*p**5 + 3*p**3 + 3*p**5 - 3*p**2 + p**2 + d*p**4 = 0. What is p?
-1/3, 0, 2/7, 1
Let v be -2 - -26*4/48. Let o(j) be the first derivative of -1/9*j**3 + 3 + 0*j + v*j**2. Factor o(b).
-b*(b - 1)/3
Let b(p) be the first derivative of p**6/108 + p**5/90 - p**4/54 + p**2 + 4. Let m(l) be the second derivative of b(l). Determine w so that m(w) = 0.
-1, 0, 2/5
Let l(z) = -15*z**3 - 210*z**2 + 85*z. Let s(f) = f**3 + 15*f**2 - 6*f. Let t(x) = -6*l(x) - 85*s(x). Factor t(u).
5*u**2*(u - 3)
Let w be 2/4 + 5/(-10). Let k(z) be the third derivative of w*z**3 + 1/360*z**6 - 1/180*z**5 + 0*z**4 + 0*z + 0 + z**2. Factor k(c).
c**2*(c - 1)/3
Let t be 0 - (-1 + 4) - -1. Let h be (t/(-5))/(12/15). Factor -1/2*q**2 + h*q**3 + 0*q + 0.
q**2*(q - 1)/2
Let y(r) be the first derivative of r**4/4 + 8*r**3/3 + 4*r**2 + 10*r - 1. Let w be y(-7). Let d**3 - 2*d**2 - d**w + 2*d**4 - 2*d**5 + 2*d**3 = 0. Calculate d.
-1, 0, 1
Let q(f) be the first derivative of 2/7*f - 2/21*f**3 + 0*f**2 + 1. Find y such that q(y) = 0.
-1, 1
Factor 5/3*w**4 + 2/3*w + 0 + 3*w**3 + 7/3*w**2 + 1/3*w**5.
w*(w + 1)**3*(w + 2)/3
Let z(j) = -4*j + 1. Let b be z(-1). Let -10 + 10 + o**3 - o**2 + o**4 - o**b = 0. Calculate o.
-1, 0, 1
Let l(g) = -g**3 - g**2 + g - 2. Let x be l(2). Let k be ((-10)/6)/(16/x). Factor k*w**4 + 21/4*w**2 + 1/2 - 17/4*w**3 - 11/4*w.
(w - 1)**3*(5*w - 2)/4
Suppose -q + 3*n - 1 = 0, -q + 4*n - 2*n = 0. Let f(c) be the third derivative of -1/30*c**5 - 1/12*c**4 + 0 + q*c**2 + 0*c + 2/3*c**3. Solve f(p) = 0 for p.
-2, 1
Let k(s) be the third derivative of -s**8/47040 + s**7/11760 - s**5/20 - 6*s**2. Let q(y) be the third derivative of k(y). Find a, given that q(a) = 0.
0, 1
Let c(l) = l**2 + 3*l - 4. Let o be c(-4). Let v(n) be the second derivative of 0*n**2 + 0 + 2*n - 1/80*n**5 - 1/48*n**4 + o*n**3. Factor v(a).
-a**2*(a + 1)/4
Let c(w) = 13*w**4 - 12*w**3 + 19*w - 6. Let f(j) = -4*j**4 + 4*j**3 - 6*j + 2. Let r(b) = 2*c(b) + 7*f(b). Solve r(p) = 0 for p.
-1, 1
Solve 63*n**4 - 57*n**2 + 23*n**2 + 28*n**2 - 57*n**3 = 0.
-2/21, 0, 1
Let v(m) be the third derivative of -1/240*m**5 + 0*m + 1/1344*m**8 + 0 - 3*m**2 - 1/280*m**7 + 0*m**4 + 0*m**3 + 1/160*m**6. Factor v(z).
z**2*(z - 1)**3/4
Let t = -135 + 137. Let s be 6/8*(-8)/(-15). Let s*a**5 + 2/5*a**4 - 2/5*a**t + 0 + 0*a - 2/5*a**3 = 0. Calculate a.
-1, 0, 1
Suppose p + 4*p - 5 = 0. Suppose a - 2 = p. Factor f**3 - 1 + a*f**3 - 2*f**4 + 3 - 4*f.
-2*(f - 1)**3*(f + 1)
Let v = -36 - -17. Let l = 27 + v. Suppose -l*b**3 - 2*b + 3*b**3 - 7*b**2 + 0*b**2 = 0. Calculate b.
-1, -2/5, 0
Let w = 14 + -7. Suppose v - 5*g - 25 = 0, -w = -4*v + 3*g + 8. Factor 0*p + 0*p**2 + 2/3*p**5 + 0 + v*p**4 + 0*p**3.
2*p**5/3
Find l such that 0*l + 1/3*l**4 + 0 - 1/3*l**2 + 1/3*l**5 - 1/3*l**3 = 0.
-1, 0, 1
Let s = -3/68 + 265/612. Let g = s + 1/9. Determine i so that 0 - 1/2*i**2 + g*i**4 + 1/2*i - 1/2*i**3 = 0.
-1, 0, 1
Let j(w) be the first derivative of 5*w**4/4 + 10*w**3 + 10. Factor j(x).
5*x**2*(x + 6)
Solve 4/9 - 2/3*l**2 - 2/9*l + 2/9*l**4 + 2/9*l**3 = 0 for l.
-2, -1, 1
Let p(a) be the third derivative of -a**6/60 + 6*a**2. Factor p(o).
-2*o**3
Let a(n) = -n**3 + 2*n + 1. Let s be a(-2). Let k = s - 1. Factor 2*o**k - o**2 + o**3 + 3*o**4 + 4*o**5 - o**5.
o**2*(o + 1)**2*(3*o - 1)
Let q be 12/(-72)*((-168)/(-10))/(-2). Solve 0 + 1/5*c + q*c**3 + c**2 + 3/5*c**4 = 0.
-1, -1/3, 0
Let v(x) be the second derivative of 1/210*x**7 + 0 + 0*x**2 - 3*x + 1/150*x**6 - 1/12*x**4 - 1/15*x**3 - 3/100*x**5. Solve v(m) = 0.
-1, 0, 2
Let g(z) be the second derivative of 1/36*z**4 + 1/30*z**5 + 0*z**3 + 0 + 0*z**2 - 7*z + 1/90*z**6. Factor