 - 5*v + 2*v - 16. Let c be (0 + -6)*q/(-2). What is u in -5*u**2 - 2*u**c - u**2 - 2*u + 10*u**3 = 0?
-1/4, 0, 1
Let r(d) be the third derivative of d**6/280 - d**5/70 - 2*d**2 - d. Factor r(t).
3*t**2*(t - 2)/7
Let j be (2/(-6))/(4/(-48)). What is g in 5*g**j - 5*g - 2 + 3*g**3 - g**2 - 2*g**4 + 2*g**3 + 0 = 0?
-1, -2/3, 1
Suppose -d + 4*v = 12, 0*d + 4*v = -2*d - 12. Let w be (-2)/d*(-4)/(-3). Factor -1/3*i**2 + w*i**3 + 1/3 - 1/3*i.
(i - 1)**2*(i + 1)/3
Let a(d) be the second derivative of d**4 - 3*d + 0 + 1/10*d**6 + 0*d**3 - 3/5*d**5 + 0*d**2. Factor a(p).
3*p**2*(p - 2)**2
Let i be (-28 - -35)*4/14. Find y, given that 2/7*y**i - 6/7 - 4/7*y = 0.
-1, 3
Let i(n) be the first derivative of 3/20*n**4 - 2/5*n**3 - 7 + 6/5*n - 3/10*n**2. Find j such that i(j) = 0.
-1, 1, 2
Suppose 2*z**3 + 2*z**2 + 2/3*z + 0 + 2/3*z**4 = 0. Calculate z.
-1, 0
Let f = -79/5 + 173/10. Let 4*k**3 + 9/4*k**4 + f*k + 1/2*k**5 + 7/2*k**2 + 1/4 = 0. Calculate k.
-1, -1/2
Let h(t) be the second derivative of t**7/70 - t**6/40 - t**5/20 + t**4/8 - 7*t**2/2 + 5*t. Let b(a) be the first derivative of h(a). Solve b(i) = 0.
-1, 0, 1
Let c(m) be the first derivative of -m**6/24 - m**5/4 - m**4/8 + 7*m**3/6 + 3*m**2/8 - 9*m/4 + 6. Let c(d) = 0. Calculate d.
-3, -1, 1
Let d(i) = i**3 + i - 1. Let m(y) = -9*y**3 - 2*y**2 - 7*y + 10. Let c(s) = -40*d(s) - 5*m(s). Find o, given that c(o) = 0.
-2, -1, 1
Factor -176*n**2 + 4*n**4 + 2*n**4 + 2*n**5 + 168*n**2.
2*n**2*(n - 1)*(n + 2)**2
Let m(b) be the second derivative of -b**10/120960 - b**9/60480 - b**4/6 - 2*b. Let l(a) be the third derivative of m(a). Suppose l(z) = 0. Calculate z.
-1, 0
Let d(a) be the second derivative of -a**7/14 - 3*a**6/10 - 9*a**5/20 - a**4/4 + 9*a. Solve d(f) = 0.
-1, 0
Let m(h) be the first derivative of 2 - 2*h**2 + 2/3*h**3 + 2*h. Factor m(q).
2*(q - 1)**2
Let f(a) = -a**2 + 5*a + 1. Let i be f(4). Factor -i - 4*m**2 - 6*m + 0*m**2 + 3.
-2*(m + 1)*(2*m + 1)
Let o(p) be the third derivative of p**7/10080 + p**6/2880 - p**4/6 + 3*p**2. Let l(z) be the second derivative of o(z). Factor l(n).
n*(n + 1)/4
Suppose -2*p + 54 - 50 = 0. Find o, given that 12/5*o + 0 + 16/5*o**p + 4/5*o**3 = 0.
-3, -1, 0
Let f(s) = -2*s**4 + 6*s**3 + 2*s**2 - 6*s. Let k(b) = 2*b**4 - 6*b**3 - b**2 + 6*b - 1. Let h(l) = 3*f(l) + 4*k(l). Solve h(a) = 0 for a.
-1, 1, 2
Suppose 5*x = 5*y, -3*x - 4*y + 16 = x. Suppose -3*f = -j - 2*j, x*f = -4*j + 18. Factor j - 4 - h**4 - h**5 + 1.
-h**4*(h + 1)
Let p(v) = v**3 + 6*v**2 + 3*v - 5. Let s be p(-5). Let a = 10 - s. Suppose -1/5 - 2/5*r**3 - 2/5*r**2 + 3/5*r - 1/5*r**a + 3/5*r**4 = 0. Calculate r.
-1, 1
Let g = -133 + 136. Factor -64/3*u - 4/3*u**g + 0 + 32/3*u**2.
-4*u*(u - 4)**2/3
Suppose 0 = -6*b + 9*b. Let v(a) be the third derivative of -1/30*a**5 + 0 + 0*a + 1/105*a**7 + 1/24*a**4 + 0*a**3 - 1/336*a**8 + b*a**6 - a**2. Factor v(d).
-d*(d - 1)**3*(d + 1)
Let d(p) be the first derivative of -p**6/90 + p**5/20 - p**4/12 + p**3/18 - p + 2. Let k(y) be the first derivative of d(y). Factor k(r).
-r*(r - 1)**3/3
Suppose -g - 7 = -1. Let v be 16/60*g/(-4). Let -v*m + 2/5*m**3 + 2/5 - 2/5*m**2 = 0. What is m?
-1, 1
Let j(u) = 4*u**2 + 30*u + 16. Let r be j(-7). Factor 7/3*v**r + 3 + 1/3*v**3 + 5*v.
(v + 1)*(v + 3)**2/3
Let z(a) be the first derivative of -1/9*a**3 + 0*a**2 + 0*a - 2. Factor z(w).
-w**2/3
Determine l so that 7*l**2 - 11*l + 5*l - 4*l**2 = 0.
0, 2
Factor -8/9*v**3 - 2/9 + 0*v**2 + 2/3*v.
-2*(v + 1)*(2*v - 1)**2/9
Let z(o) be the third derivative of -1/10*o**3 + 0*o + 1/20*o**4 + o**2 + 0 + 3/100*o**5. Suppose z(f) = 0. What is f?
-1, 1/3
Let j = 5 + -2. Factor 12*v + v**4 + 2*v**4 - 19*v**3 + 10*v**j.
3*v*(v - 2)**2*(v + 1)
Let z(d) be the first derivative of -d**4/14 - 2*d**3/7 + d**2/7 + 6*d/7 + 11. Factor z(k).
-2*(k - 1)*(k + 1)*(k + 3)/7
Let w be 3/2*(-5 + 7). Suppose -8 = 2*d, 4*y = -5*d - 15 + w. Find f such that -2/5*f**5 - 4/5*f**4 + 0*f**3 + 0 + 2/5*f + 4/5*f**y = 0.
-1, 0, 1
Let j = 13/33 + 1/165. Let v be (-2)/(-7) - 4/(-35). Let j*q**3 + 0*q**2 - v*q**4 + 0 + 0*q = 0. What is q?
0, 1
Let q(l) = 13*l**2 + 7*l + 1. Let v(s) = -4*s**2 - 2*s. Let i(m) = 2*q(m) + 7*v(m). Determine p, given that i(p) = 0.
-1, 1
Suppose -2*f + 8 = -s - 0, 3*s + 3*f = 21. Factor -m - 3*m**3 + m + m + s*m**3.
-m*(m - 1)*(m + 1)
Let f = 5 + -7. Let r = f + 6. Factor 0*u**3 - r*u**3 - u**2 + 0*u**3.
-u**2*(4*u + 1)
Solve 30*m**2 - 55*m**2 + 28*m**2 - 3*m**4 = 0.
-1, 0, 1
Let j(a) = -9*a**3 - 23*a**2 - 14*a. Let f(p) = 13*p**3 + 35*p**2 + 22*p. Let i(v) = -5*f(v) - 7*j(v). Find s, given that i(s) = 0.
-6, -1, 0
Let f(r) be the second derivative of r**6/40 - r**5/8 + r**4/16 + 33*r. Let f(t) = 0. What is t?
0, 1/3, 3
Suppose -3*y - 4*y = 0. Let x(s) be the first derivative of y*s**3 - 1/10*s**5 + 1/2*s**2 - 3 - 1/4*s**4 + 1/2*s. Factor x(g).
-(g - 1)*(g + 1)**3/2
Let r(s) = 19*s**3 - 194*s**2 + 660*s - 356. Let y(g) = -170*g**3 + 1745*g**2 - 5940*g + 3205. Let b(u) = 35*r(u) + 4*y(u). Factor b(i).
-5*(i - 6)**2*(3*i - 2)
Suppose 0 = 15*n - 9 - 21. Determine d so that 0*d**3 + 0*d + 2/5*d**4 + 0 - 2/5*d**n = 0.
-1, 0, 1
Let x = 21 + -11. Let i = x - 6. Solve 2*o**3 - 2*o - o**2 - 2*o**i + 0*o**4 + 3*o**2 = 0.
-1, 0, 1
Let w(j) be the third derivative of j**5/540 - j**3/54 - 5*j**2. Find h, given that w(h) = 0.
-1, 1
Let -1/6*q**3 + 3/2*q - 1/2*q**2 - 5/6 = 0. What is q?
-5, 1
Let u(x) be the third derivative of x**5/240 + x**4/96 - x**3/12 + 7*x**2. Factor u(y).
(y - 1)*(y + 2)/4
Let g(l) be the second derivative of -1/540*l**5 + 1/1620*l**6 - l + 1/2*l**3 + 0 + 0*l**2 - 1/54*l**4. Let w(q) be the second derivative of g(q). Factor w(k).
2*(k - 2)*(k + 1)/9
Let q(l) be the second derivative of l**7/42 + l**6/5 + 9*l**5/20 - 9*l. Factor q(f).
f**3*(f + 3)**2
Let f = -1 + 7. Factor 5*o**2 - 2*o**4 - 4*o**3 - o**4 - f*o**2.
-o**2*(o + 1)*(3*o + 1)
Let x(z) be the third derivative of z**7/1050 - z**6/600 - z**5/100 + z**4/120 + z**3/15 - 2*z**2 + 32*z. Factor x(p).
(p - 2)*(p - 1)*(p + 1)**2/5
Let l(q) be the second derivative of -q**8/23520 + q**6/2520 - q**4/12 + q. Let z(a) be the third derivative of l(a). Solve z(d) = 0.
-1, 0, 1
Factor 41*p**2 + 22*p + 24 + 8 - 45*p**2 - 30*p.
-4*(p - 2)*(p + 4)
Suppose 5*h + 56 = 3*f, 5 = -2*h - 3. Let o be -2 - -4 - 18/f. Find k such that 1/2*k**2 + 0*k - o = 0.
-1, 1
Let z(q) be the third derivative of q**7/630 - q**6/360 - q**5/180 + q**4/72 - 10*q**2. Determine j so that z(j) = 0.
-1, 0, 1
Let h(z) be the first derivative of -3*z**5/5 - z**4/3 + 4*z**3/3 - 6*z - 6. Let j(d) be the first derivative of h(d). Factor j(u).
-4*u*(u + 1)*(3*u - 2)
Let q(d) = -d**4 - 17*d**3 + 17*d**2 + d - 5. Let t = -18 - -15. Let j(g) = -g**4 - 9*g**3 + 9*g**2 + g - 3. Let n(u) = t*q(u) + 5*j(u). Factor n(l).
-2*l*(l - 1)**3
Let n = 39/17 - 5248/2295. Let m(f) be the second derivative of 1/54*f**4 + 0 - n*f**6 - f + 0*f**5 + 0*f**3 + 0*f**2. Solve m(a) = 0 for a.
-1, 0, 1
Let b(o) = 8*o**3 + 24*o**2 - 13*o - 19. Let y(z) = 12*z**3 + 36*z**2 - 20*z - 28. Let s(t) = 8*b(t) - 5*y(t). Factor s(g).
4*(g - 1)*(g + 1)*(g + 3)
Let y(q) be the second derivative of 1/6*q**4 + 0 - q**2 - 1/2*q**3 - 6*q. Factor y(i).
(i - 2)*(2*i + 1)
Let f(o) = -o + 1. Let m(n) = -n**2 + 3*n - 2. Let j(l) = -2*f(l) - m(l). Factor j(k).
k*(k - 1)
Let u(j) = -8*j - 5*j**2 - 23 + j**3 - 3*j + 20. Let g(x) = 2*x**3 - 16*x**2 - 32*x - 8. Let t(w) = -3*g(w) + 8*u(w). Factor t(y).
2*y*(y + 2)**2
Let t(s) be the second derivative of -s**8/168 + 4*s**7/105 - s**6/15 - s**2/2 - 5*s. Let l(b) be the first derivative of t(b). Suppose l(g) = 0. What is g?
0, 2
Let i(c) be the first derivative of c**4/22 - 16*c**3/11 + 192*c**2/11 - 1024*c/11 + 31. Determine x, given that i(x) = 0.
8
Suppose 0 = -2*c + c + 2. Find k such that 15/4*k**c + 3/2 + 21/4*k = 0.
-1, -2/5
Let u = 69 + -273/4. Factor -u*q**2 + 0 + 0*q + 3/4*q**3.
3*q**2*(q - 1)/4
Let m(z) = z + 10. Let j be m(-8). Determine q so that -j*q**3 - 5*q + 4*q**4 + 5*q - 2*q**5 = 0.
0, 1
Let g(c) be the first derivative of 9*c**4/8 - c**3/2 - 9*c**2/4 + 3*c/2 - 1. Factor g(m).
3*(m - 1)*(m + 1)*(3*m - 1)/2
Let v = 6 - 3. Let -16*q**2 + v + 24*q**3 - 3 + 4*q**2 - 9*q**4 = 0. Calculate q.
0, 2/3, 2
Let q be 50/20*1/10. Factor -q*p**3 + 0*p**2 + 3/4*p - 1/2.
-(