2 + 4/7*v**4 - 8/7 - 39/7*v**3 = 0. What is v?
-1/4, 1, 8
Suppose -k = -3*g + 5*g - 13, -2*k + 6 = 0. Factor 3*v**4 - 3/4*v**g + 3*v**2 + 0 - 9/2*v**3 - 3/4*v.
-3*v*(v - 1)**4/4
Let q(y) be the third derivative of y**5/240 - y**4/32 - 10*y**2. Factor q(w).
w*(w - 3)/4
Let l = -1 - -3. Let c(o) = 4*o**4 - 5*o**3 - 2*o**2 - 3. Let p(r) = 6*r**4 + 3*r**4 - r**2 - 1 - 1 - 4*r**3 - 6*r**4. Let z(g) = l*c(g) - 3*p(g). Factor z(t).
-t**2*(t - 1)**2
Let m(a) = a**3 + 50*a**2 - 2*a - 98. Let h be m(-50). Factor -6/5 - 2/5*b**h + 8/5*b.
-2*(b - 3)*(b - 1)/5
Suppose -5*c + 65 = -0*c. What is i in -c*i**4 + 2*i**3 + 14*i**4 - 3*i**3 = 0?
0, 1
Suppose 3/7*c**3 + 24/7*c**2 + 48/7*c + 0 = 0. Calculate c.
-4, 0
Let u(b) = -b - 1. Let m be u(-5). Factor 1/2*k**3 + 1/4*k**m - 1/4*k**2 + 0 - 1/2*k.
k*(k - 1)*(k + 1)*(k + 2)/4
Suppose 4*r - 15 = -i + 2, 3 = -i. Let d(y) be the third derivative of -y**2 - 1/40*y**6 + 0 - 1/3*y**3 + 0*y + 1/60*y**r + 1/8*y**4 + 1/210*y**7. Factor d(o).
(o - 2)*(o - 1)**2*(o + 1)
Let a(f) be the first derivative of f**4/7 + 4*f**3/21 - 4*f**2/7 + 9. What is p in a(p) = 0?
-2, 0, 1
Let i(t) = t**3 + 6*t**2 + 2. Let a be i(-6). Factor -n**2 + n - n**2 + 3*n - a.
-2*(n - 1)**2
Let t(o) = -3*o**2 - 6*o - 1. Suppose 24 = -5*m + 4. Let v(q) = q**2 + 3*q. Let y(n) = m*t(n) - 10*v(n). Find g, given that y(g) = 0.
1, 2
Let l(c) be the first derivative of 2*c**5/5 - c**4/2 - 5. Suppose l(p) = 0. Calculate p.
0, 1
Let t(l) be the second derivative of 0 - 5*l + 1/24*l**4 + 0*l**2 + 1/18*l**3. Solve t(m) = 0 for m.
-2/3, 0
Find q such that -4/3*q**3 - 64*q + 16*q**2 + 256/3 = 0.
4
Let l = -201 - -201. Find m such that l*m + 0 + 1/5*m**4 + 1/5*m**3 - 1/5*m**5 - 1/5*m**2 = 0.
-1, 0, 1
Let n be ((-16)/(-64))/(2/40). Let x(m) be the third derivative of 1/60*m**n + m**2 + 0*m + 1/18*m**3 + 1/360*m**6 + 0 + 1/24*m**4. Factor x(p).
(p + 1)**3/3
Let t**3 - 16*t - 4 + 9 - 5*t**2 + 15*t = 0. What is t?
-1, 1, 5
What is j in -363*j**2 + 100*j + 40 - 112*j**3 + 45*j**5 - 33*j**3 + 353*j**2 - 30*j**4 = 0?
-1, -2/3, 1, 2
Let z(c) be the first derivative of c**2/2 + 2*c + 3. Let h be z(-2). Suppose 1/5 - 1/5*v**2 + h*v = 0. Calculate v.
-1, 1
Let z(c) be the first derivative of 13*c**5/30 - c**4/12 + 31. Factor z(h).
h**3*(13*h - 2)/6
Let q(w) be the first derivative of w**5/30 - w**4/12 + 3*w**2/2 + 2. Let x(d) be the second derivative of q(d). Determine m, given that x(m) = 0.
0, 1
Suppose -z = -6*z. Let d(n) be the second derivative of 2*n + z*n**2 + 1/50*n**5 + 0 + 1/15*n**4 + 1/15*n**3. Let d(g) = 0. What is g?
-1, 0
Let d = 5 + -3. Suppose 0*g = 5*q - g - 11, -4 = -4*q + d*g. Factor -o + 3*o**2 + q*o**3 + o.
3*o**2*(o + 1)
Find i, given that -20/9*i**3 - 4/9*i**4 - 8/9 - 4*i**2 - 28/9*i = 0.
-2, -1
Let w = -13 - -17. Suppose -v + 2*l = 5, 0*v + 6 = -2*v + 3*l. Suppose 3/2*b**v - 3/2*b**2 - 1/2*b**w + 0 + 1/2*b = 0. Calculate b.
0, 1
Let u(d) be the first derivative of 4*d**5/5 - d**4 - 4*d**3/3 + 2*d**2 + 6. Factor u(j).
4*j*(j - 1)**2*(j + 1)
Let n(m) = m - 3. Let c be 10 + -2 + 2/(-2). Let z be n(c). Factor -6*w**2 + 2*w**3 - 2*w + 0*w**4 - 2*w**z - 8*w**3.
-2*w*(w + 1)**3
Let g = -5 + 11. Suppose -n - n = -g. Let 2 + 10*f**2 + 10*f**2 + f + 10*f**4 + 0*f**n + 2*f**5 + 9*f + 20*f**3 = 0. What is f?
-1
Suppose 8 = -3*y - 4. Let m = -3 - y. Let -2*u**4 - 6*u**2 - u**4 - 4*u**3 - 4*u + 2*u**4 - m = 0. What is u?
-1
Let p be -1 + -2 + 6 + -1. Factor -p*h**2 + 2*h - 9*h + 9*h.
-2*h*(h - 1)
Factor 1 + 0 - 8 + 10*x + 2 - 5*x**2.
-5*(x - 1)**2
Let 0 - 1/4*j**4 + 1/4*j**2 - 1/4*j + 1/4*j**3 = 0. What is j?
-1, 0, 1
Suppose -2*g + m + 1 + 6 = 0, -4*m + 12 = 2*g. Let y(v) be the first derivative of -g + 0*v - 1/8*v**2 - 1/12*v**3. Determine s, given that y(s) = 0.
-1, 0
Suppose -8*o + 20*o = 0. Let q(v) be the first derivative of -1 + 0*v**2 + 2/3*v**3 + o*v - 1/2*v**4. Factor q(c).
-2*c**2*(c - 1)
Let n(y) be the second derivative of y**6/15 - y**5/10 - y**4/2 + 5*y**3/3 - 2*y**2 + 3*y. Factor n(u).
2*(u - 1)**3*(u + 2)
Let z(v) be the second derivative of v**5/50 + v**4/30 - 9*v. What is q in z(q) = 0?
-1, 0
Factor 2*w + 2/3 + 2/3*w**3 + 2*w**2.
2*(w + 1)**3/3
Let s(v) = -6*v**5 - 6*v + 10*v**5 + 5*v**3 - 5*v**4 + 2*v**3. Let k(c) = -c**5 + c**4 - c**3 + c. Let t(z) = -5*k(z) - s(z). Let t(b) = 0. Calculate b.
-1, 0, 1
Suppose 16*v + 12 = 20*v. Let x be (0 + 1 + 0)*2. Let 2*h**4 + 10/3*h**x + 0 + 2/3*h + 14/3*h**v = 0. What is h?
-1, -1/3, 0
Let -4/13*c**2 - 2/13*c**3 + 2/13*c + 4/13 = 0. Calculate c.
-2, -1, 1
Let w(h) be the second derivative of 1/12*h**3 - 7/80*h**5 - 4*h - 5/48*h**4 + 0 + 0*h**2. Factor w(s).
-s*(s + 1)*(7*s - 2)/4
Let b = 4 + -7. Let w be 0*(-1)/b - -2. Factor 3*a - w*a**2 - 4*a - 2 - 3*a.
-2*(a + 1)**2
Let c(d) be the first derivative of -5*d**3/8 + 39*d**2/16 - 9*d/4 + 18. Solve c(u) = 0.
3/5, 2
Let m(q) = -q**3 + 3*q**2 + 3*q - 3. Suppose -2*x - x + 5*r = -4, -3*x = r - 10. Let c be m(x). Factor 0*s**4 + c*s**4 - 5*s**4.
s**4
Let y = 2 + 1. Factor 2 + g**4 - 6*g**4 + g**4 - 4*g**y + 2*g**4 + 4*g.
-2*(g - 1)*(g + 1)**3
Let s(p) be the third derivative of -p**8/504 + p**7/63 - p**6/20 + 7*p**5/90 - p**4/18 - p**2. Solve s(q) = 0 for q.
0, 1, 2
Let n be (9 - -2 - 9)*(1 - 0). Factor 2/7*h**n + 2/7*h + 0.
2*h*(h + 1)/7
Let b = 123 + -82. Factor -18*x**3 + 7 + 12*x - 14*x**4 + b*x**4 - 33*x**2 + 5.
3*(x - 1)**2*(3*x + 2)**2
Let g(a) be the second derivative of -a**9/7560 + a**8/1120 - a**7/420 + a**6/360 + a**4/12 - 2*a. Let m(x) be the third derivative of g(x). Factor m(q).
-2*q*(q - 1)**3
Suppose 0*k + 3*k - 6 = 0. Let x(j) = j + 2. Let p be x(-2). Solve p*q**3 - q**4 + k*q**4 + q**3 = 0 for q.
-1, 0
Let k be (-9)/(-5) - (-7)/35. Let x = k + -1. Factor 2*p**3 + 2*p**2 + 7 - x - 6.
2*p**2*(p + 1)
Suppose 8*n - 6*n - 8 = 0. Let u(v) be the first derivative of -n*v**3 - 2*v - 2/5*v**5 + 2 - 2*v**4 - 4*v**2. Factor u(y).
-2*(y + 1)**4
Let t(c) be the second derivative of c**6/3 + 5*c**5/4 + 5*c**4/4 - 5*c**3/6 - 5*c**2/2 - 19*c. Factor t(a).
5*(a + 1)**3*(2*a - 1)
Let p(i) be the third derivative of -i**8/112 - i**7/70 + i**6/20 - 4*i**2. Factor p(k).
-3*k**3*(k - 1)*(k + 2)
Let u(j) be the second derivative of 0*j**2 + 0 + 63/160*j**5 - 1/8*j**4 + 49/60*j**6 - 3*j - 1/12*j**3. Factor u(r).
r*(4*r - 1)*(7*r + 2)**2/8
Let k = 22 - -3. Factor 8 + 46*z**2 + 32*z + 6*z**4 + 19*z**3 - 16*z**3 + k*z**3.
2*(z + 1)**2*(z + 2)*(3*z + 2)
Let s(a) be the first derivative of 3*a**4/4 + 2*a**3 - 3*a**2/2 - 6*a + 22. Factor s(d).
3*(d - 1)*(d + 1)*(d + 2)
Let t be 9/12*((-8)/(-6))/4. Let z(h) be the first derivative of 0*h - t*h**4 + 1/6*h**2 - 2/9*h**3 + 2. Factor z(v).
-v*(v + 1)*(3*v - 1)/3
Let r(l) be the third derivative of 0 + 0*l + 3/20*l**5 - 3/8*l**4 + 1/2*l**3 - 1/40*l**6 + l**2. Factor r(u).
-3*(u - 1)**3
Let w = 108 - 106. Determine q, given that -4/7*q**w + 2/7*q + 0 + 2/7*q**3 = 0.
0, 1
Let y(p) be the first derivative of 1 + 0*p**2 - p + 1/15*p**3 + 1/30*p**4. Let i(t) be the first derivative of y(t). Factor i(g).
2*g*(g + 1)/5
Let s(n) = -n**2 - 2*n - 1. Let r be s(-1). Suppose 2 + 2*y - y**2 + 2*y + r + 3*y**2 = 0. What is y?
-1
Suppose 4*i + 0*i = 20. Let j(r) be the third derivative of 0*r**4 + 0*r + 1/15*r**i - 1/56*r**8 - 4/105*r**7 + 0*r**3 + 0 + 1/60*r**6 - r**2. Factor j(a).
-2*a**2*(a + 1)**2*(3*a - 2)
Let n(f) be the second derivative of f**7/168 - f**6/120 - f**5/40 + f**4/24 + f**3/24 - f**2/8 + 11*f. Factor n(b).
(b - 1)**3*(b + 1)**2/4
Let y be 478/(-6) - (-8)/2. Let j = -75 - y. Factor 1/3 + 1/3*c**4 + 0*c - j*c**2 + 0*c**3.
(c - 1)**2*(c + 1)**2/3
Let q(m) be the first derivative of m**6/45 - 2*m**5/75 - m**4/30 + 2*m**3/45 + 16. Factor q(n).
2*n**2*(n - 1)**2*(n + 1)/15
Factor 18/17*v**2 - 2/17*v**3 + 32/17 - 48/17*v.
-2*(v - 4)**2*(v - 1)/17
Let x(w) be the first derivative of w**6/9 - 3*w**5/10 + w**4/4 - w**3/18 + 1. Factor x(a).
a**2*(a - 1)**2*(4*a - 1)/6
Let j = 470 - 468. Let t = 211/270 + 1/54. Factor 1/5*m**4 - 4/5 - 4/5*m + 3/5*m**j + t*m**3.
(m - 1)*(m + 1)*(m + 2)**2/5
Let p(q) be the first derivative of -q**5/20 + q**4/8 + q**3/12 - q**2/4 - 5. Suppose p(m) = 0. Calculate m.
-1, 0, 1, 2
Let i(a) be the second derivative of 0*a**6 + 0*a**3 + 0*a**4 + 0*a**2 - 1/5*a**5 - 6*a + 2/21*a**7 + 0. Factor i(v).
4*v**