d**3 - 2*d**2 - 4*d.
2*d**2*(d - 1)
Let o(w) be the third derivative of -w**8/168 - 2*w**7/105 + w**6/30 + 2*w**5/15 - w**4/12 - 2*w**3/3 + 11*w**2. What is v in o(v) = 0?
-2, -1, 1
Let c be (-15)/21 + (-2)/7. Let t(z) = -2*z. Let j be t(c). Factor -x**3 - x + 4*x**3 - 4*x**3 + x**2 + x**j.
-x*(x - 1)**2
Let j = 4 - 8. Let u be 30/56 + j/14. Suppose 1/4*v**4 - u*v**2 - 1/4*v**3 + 0 + 1/4*v = 0. Calculate v.
-1, 0, 1
Suppose -2/5*m**3 + 4/5*m**2 + 16/5*m + 0 = 0. Calculate m.
-2, 0, 4
Let v(j) = 2*j**2 + 7*j - 7. Let n be v(1). Find g such that 4/3 + 0*g - 1/3*g**n = 0.
-2, 2
Let x(g) be the second derivative of 0 - 3/70*g**5 + 1/105*g**6 + 0*g**2 + g + 1/14*g**4 - 1/21*g**3. What is b in x(b) = 0?
0, 1
Suppose 12 = 7*h - 4*h. Solve -14*t**4 - 4*t**2 + 3*t**4 + t**h - 14*t**3 = 0 for t.
-1, -2/5, 0
Suppose -3*k + 4*w = -w + 292, 5*w = -2*k - 203. Let a = 695/7 + k. Factor 2/7*z**2 - 2/7*z**3 - 2/7 + a*z.
-2*(z - 1)**2*(z + 1)/7
Suppose -f = 1 - 3. Factor 0*o + 10*o**f + 3*o**3 - 4 + o**3 + 5*o - 3*o.
2*(o + 1)*(o + 2)*(2*o - 1)
Find m such that -10*m**4 + 5*m**3 - 4*m**5 + 3*m**3 + 6*m**4 = 0.
-2, 0, 1
Let w(s) be the third derivative of 3/50*s**5 + 2*s**2 + 0*s + 0 + 1/5*s**4 + 4/15*s**3. Factor w(t).
2*(3*t + 2)**2/5
Let y(v) = 5*v**3 + 6*v**2 + 3*v. Let n(o) = -2*o**3 - 3*o**2 - o. Let c(i) = 7*n(i) + 3*y(i). Let c(j) = 0. Calculate j.
0, 1, 2
Let b(f) be the second derivative of 1/15*f**3 + 1/30*f**4 + 0 + 2*f - 2/5*f**2. Factor b(o).
2*(o - 1)*(o + 2)/5
Let g(x) be the second derivative of x**4/72 + 7*x**3/18 + 49*x**2/12 + 6*x. Factor g(p).
(p + 7)**2/6
Factor -2/5*c**4 - 6/5*c + 6/5*c**3 + 2/5*c**2 + 0.
-2*c*(c - 3)*(c - 1)*(c + 1)/5
Factor -3/5*h**3 - 3/5*h**4 - 1/5*h**2 + 0 - 1/5*h**5 + 0*h.
-h**2*(h + 1)**3/5
Find w, given that -6/7*w + 4/7 + 2/7*w**2 = 0.
1, 2
Let y(w) be the third derivative of 1/21*w**3 + 1/210*w**5 + 1/42*w**4 + w**2 + 0 + 0*w. Factor y(k).
2*(k + 1)**2/7
Let p(h) = -4*h**4 + 2*h**3 - 4*h**2 - 6. Let i(n) = -3*n**4 + n**3 - 3*n**2 - 5. Let y(f) = -6*i(f) + 5*p(f). What is l in y(l) = 0?
0, 1
Find m, given that 3/2*m**2 - 5/2*m**5 + 0 + 7/2*m**3 - 3/2*m**4 - m = 0.
-1, 0, 2/5, 1
Suppose 0 = 2*a + 3*a - 10. Factor 4*i**a - 94*i + 14*i**3 + 94*i.
2*i**2*(7*i + 2)
Let k be (1 + 4/(-8))*-34. Let t = -15 - k. Factor -1/3*g - 1/3*g**3 + 0 + 2/3*g**t.
-g*(g - 1)**2/3
Factor 1/2*r**4 + 0 + r**3 + 0*r**2 + 0*r.
r**3*(r + 2)/2
Factor 20*q**4 + 16*q**2 + 39*q + 27*q**2 - 17*q**4 + 12 + 2*q**2 + 21*q**3.
3*(q + 1)**3*(q + 4)
Suppose 45 - 13 = 4*k. Find y such that -3*y**2 + 0 - 3*y**2 + k - 2 + 3*y - 3*y**3 = 0.
-2, -1, 1
Let 1/3*k + 2/3*k**2 + 1/3*k**3 + 0 = 0. What is k?
-1, 0
Factor 3993/8*z**3 + 3267/4*z**2 + 81 + 891/2*z.
3*(11*z + 6)**3/8
Let o(t) be the second derivative of -t + 0*t**3 + 0 - 1/78*t**4 - 3/130*t**5 + 0*t**2. Factor o(w).
-2*w**2*(3*w + 1)/13
Let a be (0/11)/(2*-1). Let 0*x + 0*x**3 - 2/11*x**4 + 2/11*x**2 + a = 0. What is x?
-1, 0, 1
Let v = 7 + -7. Let w(j) be the first derivative of -2/3*j**3 + v*j + 0*j**2 - 2 + 2*j**4. Determine b so that w(b) = 0.
0, 1/4
Let y(h) be the second derivative of 1/2*h**3 - 1/6*h**4 + 0 - 1/2*h**2 - h. Let y(w) = 0. What is w?
1/2, 1
Let j(g) = g**2 - 3*g - 5. Let c(b) = -b**3 + b - 1. Let y(f) = 2*c(f) - 2*j(f). Determine r, given that y(r) = 0.
-2, -1, 2
Let z be ((-10)/7)/(-1 + (-10)/(-70)). Factor -1/3*d**3 + 3 - d - z*d**2.
-(d - 1)*(d + 3)**2/3
Let r be 1 + 0 + (-1)/(4/(-30)). Suppose r*u**4 - 1/2*u - 17/2*u**3 + 0 - 3*u**5 + 7/2*u**2 = 0. What is u?
0, 1/3, 1/2, 1
Suppose 232*q = 227*q. Factor -1/4*h**2 + q + 0*h.
-h**2/4
Let x(n) = 6*n - 12. Let k be x(2). What is c in k*c - 19/4*c**2 - 15/4*c**3 + 1 = 0?
-1, -2/3, 2/5
Suppose g = -4*g - 3*y + 20, -3*g + 31 = -2*y. Find j such that -g*j**2 + j**3 + 10*j - 6*j + 3*j**2 = 0.
0, 2
Let r(k) be the first derivative of 7/6*k**2 - 2/3*k + 1 - 5/9*k**3. Factor r(f).
-(f - 1)*(5*f - 2)/3
Let x(g) be the third derivative of g**8/168 - g**7/35 + g**6/20 - g**5/30 + 4*g**2 - 2*g. Factor x(y).
2*y**2*(y - 1)**3
Let p(m) be the first derivative of 5*m**4/4 - 7*m**3/3 + m**2 - 10. Factor p(o).
o*(o - 1)*(5*o - 2)
Let a be 1 + 3 + (-5 - 20/(-16)). Factor 1/2*l**3 + 0*l - a*l**4 + 0 - 1/4*l**2.
-l**2*(l - 1)**2/4
Let t = 12/163 - -266/815. Factor 12/5*m - 18/5 - t*m**2.
-2*(m - 3)**2/5
Factor h**3 - 7*h**5 - h**2 + 9*h**5 + 9*h**3 - 3*h**2 - 8*h**4.
2*h**2*(h - 2)*(h - 1)**2
Let n(t) = -3*t**5 + 18*t**4 + 9*t**3 + 12*t**2 + 18*t + 18. Let g(s) = -s**4 - s**2 - s - 1. Let w(z) = -18*g(z) - n(z). Factor w(x).
3*x**2*(x - 1)**2*(x + 2)
Let x = 79/15 + -23/5. Solve -10/3*m + x - 143/6*m**2 + 294*m**4 + 70*m**3 = 0 for m.
-2/7, 1/6
Determine i so that 1/2*i**2 - 2 + 0*i = 0.
-2, 2
Let l = 834 - 832. Factor -4/13 + 8/13*g**3 - 6/13*g**l - 18/13*g.
2*(g - 2)*(g + 1)*(4*g + 1)/13
Let r(g) = -4*g - 1. Let m be r(-1). Suppose 0 = -5*l + 3*a + 30, 21 = -0*l + 2*l - m*a. What is d in 2/3*d**4 + 0 + 4/3*d**l + 0*d + 2/3*d**2 = 0?
-1, 0
Factor 2*q**3 + 56*q + 24 + 28*q**2 + 2*q**3 + 8.
4*(q + 1)*(q + 2)*(q + 4)
Let x = 18 - 16. Find d such that 2 - 3*d**2 + 5*d + d - 3*d - x*d = 0.
-2/3, 1
Suppose 4*j - 5*j + 4*j = 0. Let m(v) be the first derivative of 2/25*v**5 - 1/5*v**4 + 0*v**3 + 1/15*v**6 + 0*v + j*v**2 + 3. Factor m(o).
2*o**3*(o - 1)*(o + 2)/5
Suppose 25 = 5*f + 5*k, -f - 3*k + 5 = -2. Suppose 3*m = -2*d + 36, f*d - m + 18 = 90. Suppose 19*c - 1 - c**3 + 1 - d*c = 0. What is c?
-1, 0, 1
Let k = -7 + 7. Factor -6*h**3 - 2*h**5 + 2*h**2 - 5*h**4 + 11*h**4 + k*h**3.
-2*h**2*(h - 1)**3
Let h(w) = w - 3 + 5 + 3 + 4. Let y be h(-6). Factor 2/9 - 2/9*q**y - 2/9*q**2 + 2/9*q.
-2*(q - 1)*(q + 1)**2/9
Suppose 3*s - s - q = 9, -2*q = s + 8. Factor w**4 - w**5 + 5*w**2 - 11*w**s - 2*w**5 + 5*w**4 + 3*w.
-3*w*(w - 1)**3*(w + 1)
Let t(g) be the first derivative of -3*g**6/14 + 6*g**5/7 - 9*g**4/14 - 8*g**3/7 + 27*g**2/14 - 6*g/7 - 6. Suppose t(b) = 0. What is b?
-1, 1/3, 1, 2
Let w(a) be the second derivative of -a**5/30 - a**4/6 + 2*a**3/3 + 8*a**2/3 + 8*a - 1. Factor w(h).
-2*(h - 2)*(h + 1)*(h + 4)/3
Let -6*s**5 - s**2 + 5*s**2 - 4*s**5 + 10*s**3 - 4*s**4 = 0. What is s?
-1, -2/5, 0, 1
Let p(u) be the first derivative of 2*u**6/11 + 2*u**5/11 - 3*u**4/22 - 4*u**3/33 + 7. Let p(l) = 0. What is l?
-1, -1/2, 0, 2/3
Let c(q) be the second derivative of q**6/60 - 3*q**5/40 + q**4/12 - 11*q. Factor c(l).
l**2*(l - 2)*(l - 1)/2
Suppose -8*a**3 + 11*a**3 + 51*a**3 + 14*a**5 + 4*a**2 + 52*a**4 - 8*a + 4*a**2 = 0. Calculate a.
-2, -1, 0, 2/7
Find j such that -1/3*j**2 - 8/3*j - 16/3 = 0.
-4
Let f(v) = 7*v**3 - 10*v**2 + 5*v + 4. Let t(z) = z**3 - z**2 + 1. Let s = 4 - 1. Suppose -4 = w - s. Let h(l) = w*f(l) + 6*t(l). Suppose h(i) = 0. Calculate i.
1, 2
Let o(z) = z**3 + 5*z**2 - 7*z - 2. Let n be o(-6). Let u = n - 1. Let -1/2*t**u + 1/2*t**2 + 1/2*t - 1/2 = 0. What is t?
-1, 1
Suppose -7*q - 4 + 32 = 0. What is h in h**3 + 0*h - 1/2*h**q - 1/2*h**2 + 0 = 0?
0, 1
Let k(h) be the second derivative of -h**4/3 - 16*h**3/3 - 32*h**2 - h. Let k(d) = 0. Calculate d.
-4
Let h be 6 + 0 + (-6)/2. Factor n - 6*n + 2*n + h*n**2.
3*n*(n - 1)
Determine y, given that -2/3*y**2 + 0 - 2/3*y + 2/3*y**3 + 2/3*y**4 = 0.
-1, 0, 1
Let y = 598 + -2391/4. Factor 0 + y*t - 1/4*t**2.
-t*(t - 1)/4
Let g(d) be the third derivative of 0*d + 9/2*d**4 - 3/5*d**5 - 18*d**3 + 0 + 2*d**2 + 1/30*d**6. Factor g(a).
4*(a - 3)**3
Let g be ((-72)/(-132))/(3/22). Let 3/5*n**g + 0*n + 3/5 - 6/5*n**2 + 0*n**3 = 0. Calculate n.
-1, 1
Let x(m) be the first derivative of -2*m**2 + 2/3*m**3 + 1/2*m**4 + 0*m + 4. Solve x(f) = 0.
-2, 0, 1
Let p(c) be the second derivative of -27*c**7/56 - 3*c**6/10 + 77*c**5/80 + 3*c**4/4 + c**3/6 - 5*c. Let p(q) = 0. Calculate q.
-1, -2/9, 0, 1
Factor 7*o**2 + 0*o**3 + o**2 - 4*o**3.
-4*o**2*(o - 2)
Suppose -y = 2*l, 3*y = 8*l - 4*l + 10. Let u = 4 - l. Factor 0*t**3 + 1/3*t - 2/3*t**4 + 0 + 2/3*t**2 - 1/3*t**u.
-t*(t - 1)*(t + 1)**3/3
Let k(z) be the third derivative of -z**5/240 - z**4/32 + 7*z**2. Factor k(g).
-g*(g + 3)/4
Let k(w) be the first derivative of w**3/9 + 2*w**2/3 - 5. Factor k(p).
p*(p + 4)/3
Let s(m) be the third derivative of 0*m + 1/525*m**7 + m**2 + 1/100*m**6 + 0 - 1/15*m**4 + 0*m**5 + 0*m**3. Solve s(d) = 0.
-2, 0, 1
Suppose 0 = -2*m - 3*f +