)**2
Let t = -9 + 3. Let g be 2/(-6) - 20/t. Factor -6*q**2 + 2*q - 2*q**4 + 4 + 6*q**g - 4.
-2*q*(q - 1)**3
Let w(n) be the second derivative of n**4/6 + 2*n**3/3 + n**2 - 2*n. Solve w(l) = 0.
-1
Let l(i) = -i**2 - i + 8. Let z be l(2). Suppose 0 + 1/3*y**z + 1/3*y = 0. Calculate y.
-1, 0
Factor -6*b**2 - 2*b**3 - 5*b**3 - 9*b + 4*b**3 + 2*b**3.
-b*(b + 3)**2
Let a(r) = -r**2 - r - 2. Let g(m) = -m**3 - 5*m**2 - 10*m - 16. Let w(f) = 24*a(f) - 3*g(f). Find y such that w(y) = 0.
0, 1, 2
Suppose 10 = 11*b - 6*b. Let x(y) be the third derivative of 0*y + 0 + 0*y**4 - 3*y**b - 1/210*y**5 - 1/420*y**6 + 0*y**3. Solve x(s) = 0.
-1, 0
Let y(v) = -v**2 - 1. Let u(p) = -6*p**2 - 2*p. Let o(h) = -u(h) + 4*y(h). Factor o(c).
2*(c - 1)*(c + 2)
Let z(v) be the third derivative of v**8/30240 + v**7/2520 + v**5/60 - 5*v**2. Let f(g) be the third derivative of z(g). Factor f(p).
2*p*(p + 3)/3
Let v(w) be the second derivative of -w**5/20 - w**3/6 + w. Let i(a) = -a**3 + 37 + 0*a + 2*a**3 - a - 38. Let l(r) = 4*i(r) + 2*v(r). Factor l(u).
2*(u - 2)*(u + 1)**2
Suppose 64/3*s + 24*s**3 + 112/3*s**2 + 0 + 20/3*s**4 + 2/3*s**5 = 0. What is s?
-4, -2, 0
Let c(a) be the second derivative of -a**6/40 - 3*a**5/80 + a**4/8 + 7*a. Solve c(j) = 0.
-2, 0, 1
Let t = 11 - 3. Suppose -2*y - 6 = 0, 2*q + 4*y = -2*q - t. Factor -1/2*h**2 - q + 3/2*h.
-(h - 2)*(h - 1)/2
Suppose 5*g = g. Factor g*n - 2*n - n**3 - 2*n**2 + n.
-n*(n + 1)**2
Factor 8/3*g - 8/3 - 2/3*g**2.
-2*(g - 2)**2/3
Let w(o) be the third derivative of 0*o + 0*o**3 + 0 - 1/40*o**6 + 1/112*o**8 + 4*o**2 + 0*o**4 + 1/20*o**5 - 1/70*o**7. Determine j, given that w(j) = 0.
-1, 0, 1
Let w be 2*1/1 + 0/2. Let r(p) be the third derivative of 4*p**w + 0 + 1/6*p**3 + 1/480*p**6 + 1/48*p**5 + 1/12*p**4 + 0*p. Determine v, given that r(v) = 0.
-2, -1
Suppose -4*j - 3*u + 21 = -21, j - 3*u = 3. Suppose 12 + j*x**2 - 18*x - 3/2*x**3 = 0. Calculate x.
2
Suppose 2*r - g - 1 = -4*g, -5*r + 5*g + 40 = 0. Determine j so that 2/3*j**r + 0*j + 0*j**2 - 4/3*j**3 + 0 - 2/3*j**4 = 0.
-1, 0, 2
Let c(t) be the first derivative of 0*t + 3 - 1/12*t**3 + 0*t**2. Solve c(i) = 0 for i.
0
Let w(k) be the second derivative of k**6/40 - k**5/16 - k**4/12 + k**3/6 + 5*k. Let w(o) = 0. What is o?
-1, 0, 2/3, 2
Let v(r) be the third derivative of -r**6/60 + 4*r**5/15 - 13*r**4/12 + 2*r**3 + 19*r**2. Factor v(h).
-2*(h - 6)*(h - 1)**2
Let u(t) be the second derivative of 0*t**3 + 3*t + 0*t**2 - 1/3*t**4 - 1/10*t**5 + 0 + 1/15*t**6. What is b in u(b) = 0?
-1, 0, 2
Let o = 113/36 + -26/9. Let f(r) be the first derivative of r - 2 - o*r**4 + 1/2*r**2 - 1/3*r**3. Suppose f(g) = 0. What is g?
-1, 1
Let r = -12946 - -271648/21. Let z = r - -32/3. Suppose 2/7*u**2 - 2/7*u**3 + 2/7*u**5 + 0*u + 0 - z*u**4 = 0. Calculate u.
-1, 0, 1
Let g(z) be the second derivative of z**5/130 - 4*z**3/39 - 17*z. Find n, given that g(n) = 0.
-2, 0, 2
Suppose -1/6*l**2 - 2 + 13/6*l = 0. Calculate l.
1, 12
Let h(r) = -r**2 - 11*r - 12. Let m be h(-9). Suppose 0 = -3*v - 9, 3*i + 0*i = -2*v + m. Factor 7*j + j**2 - 4*j**3 + i*j**4 - 5*j - 2*j.
j**2*(2*j - 1)**2
Solve 2*t + 3*t**5 + t**3 - 4*t**3 - t**3 - t**5 = 0.
-1, 0, 1
Suppose -25*p**2 + 4*p**3 + 769*p - 6*p**3 - 819*p + 5*p**2 = 0. What is p?
-5, 0
Let h = 29/14 + -59/42. What is r in -h*r**4 + 0 + 2/3*r**2 - 2/3*r**3 + 2/3*r = 0?
-1, 0, 1
Suppose -7*n**3 - 5*n**3 - 6 - 320*n**5 + 9*n + 6*n**2 + 323*n**5 = 0. What is n?
-2, -1, 1
Let q(j) = -j**3 - 6*j**2 - 6*j + 2. Let l be q(-5). Let x = 11 - l. Solve 2/3*b**3 - 1/3 + 1/3*b**5 - 2/3*b**2 - b + b**x = 0.
-1, 1
Let n(b) = 2*b**2 + 18*b - 6. Let y(r) = -r**2 - 17*r + 5. Let g(o) = 5*n(o) + 6*y(o). Factor g(i).
4*i*(i - 3)
Let f(y) be the second derivative of 2*y**7/21 + 2*y**6/5 + y**5/5 - y**4 - 4*y**3/3 + 2*y - 2. Factor f(c).
4*c*(c - 1)*(c + 1)**2*(c + 2)
Let a(c) be the first derivative of -c**7/35 - 7*c**6/120 + c**4/24 + c**2/2 + 1. Let s(d) be the second derivative of a(d). Factor s(v).
-v*(v + 1)*(2*v + 1)*(3*v - 1)
Let c(s) be the first derivative of s**5/10 + s**4/8 - s**3/6 - s**2/4 - 38. Factor c(i).
i*(i - 1)*(i + 1)**2/2
Factor 0*q**2 + 5/6*q**4 + 0 - 5/6*q**3 + 0*q.
5*q**3*(q - 1)/6
Let d be -1 - (1 + 3)*1. Let l = 7 + d. Solve -3*s**3 + 10*s + 17*s**l + 10*s**3 - 9*s - 17*s - 21*s**4 + 9*s**5 + 4 = 0.
-1, 2/3, 1
Let a(f) = f**3 - f**2 - f - 2. Let l be a(2). Suppose -3*o + l*j = 2*j - 13, 0 = -4*o - 3*j + 18. Find q, given that -o*q - 4*q**2 + q - q**3 + q**2 = 0.
-2, -1, 0
Find x such that 2*x**5 - 6*x**3 + 0*x**5 + 3*x**3 + x**3 = 0.
-1, 0, 1
Let w(c) be the third derivative of c**8/60480 - c**7/15120 - c**6/1080 - c**5/20 + 3*c**2. Let s(b) be the third derivative of w(b). Solve s(f) = 0 for f.
-1, 2
Let n(m) = -m - 13. Let s be n(-6). Let l be (-11)/s + (2 - 3). Find z, given that 0*z**3 + 0*z - 2/7*z**4 - 2/7 + l*z**2 = 0.
-1, 1
Let d be (-189)/(-24) + (-1)/(-8). Suppose 3*v - d = -2. Factor -3/4*l**v + 0 + 3/2*l.
-3*l*(l - 2)/4
Let c(y) = y**2 + 6*y - 1. Let d be c(-6). Let a be d - 1 - (-15)/6. Factor 0*z + 0 + a*z**5 - 1/2*z**4 + 0*z**3 + 0*z**2.
z**4*(z - 1)/2
Let k = -989/33 + 91/3. What is m in 16/11*m**2 - 6/11*m**3 + k - 14/11*m = 0?
2/3, 1
Let h be ((-3)/6)/((-1)/(-10)). Let t = h - -9. Factor -1 + 3*z**2 - 3*z + 0 - t*z**2 + z.
-(z + 1)**2
Factor -2*g - 1864*g**3 + g + 1865*g**3.
g*(g - 1)*(g + 1)
Factor -1/3*w**5 + 1/3*w**4 + 1/3*w**3 + 0*w - 1/3*w**2 + 0.
-w**2*(w - 1)**2*(w + 1)/3
Let o(a) = -10*a**2 - 6*a + 10. Let y(z) = -z**3 + 9*z**2 + 6*z - 9. Let i = 5 + -11. Let d(b) = i*y(b) - 5*o(b). Factor d(p).
2*(p - 1)*(p + 1)*(3*p - 2)
Suppose -3*i = -3*w + 6, -6*w + 24 = -3*w + 3*i. Suppose 0 = -w*h + h. Factor 0 - 2/7*m**2 + h*m.
-2*m**2/7
Let l be 136/22 + 2/(-11). Let j(h) = h**4 - h**3 + h**2 + h + 1. Let r(w) = 7*w**4 - 14*w**3 + 30*w**2 - 26*w + 22. Let u(x) = l*j(x) - r(x). Factor u(k).
-(k - 2)**4
Let m(x) be the second derivative of 3*x**8/280 + x**7/35 - x**6/90 - x**5/15 + x**4/12 - x**3/3 - 3*x. Let k(l) be the second derivative of m(l). Factor k(v).
2*(v + 1)**2*(3*v - 1)**2
Solve 0 + 14/17*k**5 + 8/17*k + 48/17*k**2 + 86/17*k**3 + 60/17*k**4 = 0.
-2, -1, -2/7, 0
Suppose 3*n + 2*k - 64 = 0, -3*n + 43 + 6 = -k. Let q be ((-6)/n)/(2/(-8)). Factor -q + 8/3*c**2 + 2/3*c - 2*c**3.
-2*(c - 1)**2*(3*c + 2)/3
Let u(a) = -a**3 - 5*a**2 - 6*a - 5. Let w be u(-4). Let v(o) be the second derivative of 0 + 1/5*o**3 + 2/5*o**2 + w*o + 1/30*o**4. Solve v(j) = 0.
-2, -1
Let g(k) be the third derivative of k**5/10 + k**4/6 + 43*k**2. Factor g(r).
2*r*(3*r + 2)
Let o(u) be the first derivative of -2/21*u**3 - 1/7*u**2 - 2 + 4/7*u. Find z such that o(z) = 0.
-2, 1
Let y(j) be the first derivative of j + 3 + 1/6*j**3 + 3/4*j**2. Let y(m) = 0. Calculate m.
-2, -1
Let j be ((-186)/5)/(6/(-20)). Let w = 870/7 - j. Solve -2/7*o + 0 - 2/7*o**4 + w*o**3 + 2/7*o**2 = 0 for o.
-1, 0, 1
Suppose -5*z = -48 + 28. Let g(j) be the third derivative of 0*j**z + 0*j + 0 - 2*j**2 - 1/30*j**5 + 0*j**3. Suppose g(r) = 0. What is r?
0
Let j(x) = -4*x**3 + 4*x**2 + 4*x + 8. Let n(h) = h**3 - h**2 - h - 1. Suppose -3*d - 18 + 0 = 0. Let i(k) = d*n(k) - j(k). Factor i(l).
-2*(l - 1)**2*(l + 1)
Let y be -2 + (1 - (-3 + 0)). Factor -q**2 - q**y + 2*q + q - q**2.
-3*q*(q - 1)
Let x be (-15 - (-12)/(-3))/(-14). Let r = 62/7 - x. Factor 1/2 + 7/2*v + 9/2*v**3 + r*v**2.
(v + 1)*(3*v + 1)**2/2
Let b be 7*(2 + 48/(-28)). Let k = -4 - -7. Factor 2/7 + 0*i - 4/7*i**b + 2/7*i**4 + 0*i**k.
2*(i - 1)**2*(i + 1)**2/7
Let u(x) be the first derivative of 3*x**5/5 - 15*x**4/8 + 2*x**3 - 3*x**2/4 - 1. Determine z so that u(z) = 0.
0, 1/2, 1
Let y = -150 + 154. Let k(a) be the second derivative of 0*a**2 + 2*a + 1/100*a**5 + 1/30*a**3 + 0 - 1/30*a**y. Determine x, given that k(x) = 0.
0, 1
Let -1/8*c + 1/8*c**2 - 1/4 = 0. What is c?
-1, 2
Let c be 6 + 100/(-15) + 24/9. Factor 0 - 2/7*w**4 - 2/7*w**c + 4/7*w**3 + 0*w.
-2*w**2*(w - 1)**2/7
Let m(q) be the second derivative of -5*q**7/42 + q**6/6 + q**5/2 - 5*q**4/6 - 5*q**3/6 + 5*q**2/2 - 25*q. Factor m(s).
-5*(s - 1)**3*(s + 1)**2
Let n(t) = t - 8. Let l be n(12). Let x(h) be the third derivative of 0*h**3 + 0*h - 1/240*h**5 + h**2 + 0 - 1/48*h**l. Determine f so that x(f) = 0.
-2, 0
Suppose -7*t = -2*t. Factor -3*c**4 + 0*c**3 + t