n - 1)**4/4
Let d(a) = a**2 + a - 1. Let q(u) = 4*u**3 + 38*u**2 + 62*u + 26. Let k(j) = -2*d(j) + q(j). Solve k(r) = 0.
-7, -1
Let b(y) be the second derivative of -y**9/37800 - y**8/16800 + y**4/6 - y. Let i(l) be the third derivative of b(l). Factor i(v).
-2*v**3*(v + 1)/5
Let g(p) be the first derivative of -p**9/12096 + p**7/1680 - p**5/480 + 2*p**3/3 - 3. Let r(x) be the third derivative of g(x). Factor r(k).
-k*(k - 1)**2*(k + 1)**2/4
Let t(g) be the second derivative of g**5/120 - g**4/6 + 4*g**3/3 + 5*g**2 + 6*g. Let l(u) be the first derivative of t(u). What is h in l(h) = 0?
4
Let d(a) = -143*a**4 + 345*a**3 - 279*a**2 + 89*a - 19. Let y(m) = -48*m**4 + 115*m**3 - 93*m**2 + 30*m - 6. Let b(g) = 2*d(g) - 7*y(g). What is i in b(i) = 0?
2/5, 1/2, 1
Let q(o) be the second derivative of 2*o - 1/10*o**5 - 1/6*o**4 + 0 + 0*o**3 + 0*o**2. Factor q(d).
-2*d**2*(d + 1)
Let r be (-4)/(-36) - 66/(-378). Factor -2/7*a**2 + 0*a + r*a**3 + 0.
2*a**2*(a - 1)/7
Let i(f) = -7*f**2 - f - 4. Suppose -91 = 5*w - 26. Let p(d) = 15*d**2 + 2*d + 9. Let o(k) = w*i(k) - 6*p(k). Solve o(l) = 0.
-2, 1
Factor -2*s - 5*s**2 + 15*s**2 + s**4 - 4*s**3 - 5*s**2.
s*(s - 2)*(s - 1)**2
Let v(f) be the first derivative of 7*f**7/15 - 7*f**6/20 - 4*f**5/5 - f**4/3 + f**2 + 3. Let p(i) be the second derivative of v(i). Factor p(u).
2*u*(u - 1)*(7*u + 2)**2
Let m(y) be the first derivative of -y**5/20 - y**4/12 + y**3/6 + y**2/2 - 5*y + 1. Let l(q) be the first derivative of m(q). Factor l(r).
-(r - 1)*(r + 1)**2
Factor 44*b - 20*b**2 + 22*b**2 + 265 - 23.
2*(b + 11)**2
Let b(c) be the first derivative of -2*c**3/3 - c**2 + 4*c + 3. Factor b(z).
-2*(z - 1)*(z + 2)
Suppose c = 2*g, 0 = -2*g - 3*g + 2*c. Suppose 0 = -3*u - g*u + 12. Factor -8/3*o + u*o**2 + 2/3*o**4 + 2/3 - 8/3*o**3.
2*(o - 1)**4/3
Let y(r) be the third derivative of -r**7/560 + r**6/320 - 13*r**2. Determine v so that y(v) = 0.
0, 1
Find g, given that 14*g**2 - 3*g**3 - 8*g**2 - 3 + 3*g - 3*g**2 = 0.
-1, 1
Let l(q) = q - 7. Let t be l(12). Suppose -t*v = -7 - 8. Factor -1 - 1/2*w**v - 1/4*w**4 + 3/4*w**2 + w.
-(w - 1)**2*(w + 2)**2/4
Suppose 4*t + 3*r = 2, 0 = 4*t - 5*r + 4 - 22. Factor 2*y**3 + 7*y**2 + t*y**2 - 4*y**4 - 9*y**2.
-2*y**3*(2*y - 1)
Let h = -8 + 23. Suppose -3*b = -h + 6. Factor b + 1/3*o**2 + 2*o.
(o + 3)**2/3
Let i(a) = -a**3 - 4*a**2 - a - 2. Let l be i(-4). Let w(y) be the first derivative of -1/9*y**3 + 1/3*y**l - 1/3*y - 1. Factor w(c).
-(c - 1)**2/3
Let w(o) be the third derivative of o**7/1575 + o**6/600 - o**5/300 + o**4/4 - 3*o**2. Let b(p) be the second derivative of w(p). Factor b(k).
2*(k + 1)*(4*k - 1)/5
Let l be 561/1188 - ((-3)/(-4))/3. Factor -4/9 - l*w + 2/9*w**2.
2*(w - 2)*(w + 1)/9
Let z = -9 + 3. Let i be (-4)/9 + (-4)/z. Determine m so that -i*m**4 + 0 + 0*m - 2/9*m**2 - 4/9*m**3 = 0.
-1, 0
Suppose -2*n + 6 = -2*v, -4*v - v + 5 = -n. Let c = 26/3 + -8. Factor 0*y - 2/3*y**v - c*y**3 + 0.
-2*y**2*(y + 1)/3
Let w = 6 - 3. Suppose -a + 7 = 2*s - 2*a, -4*s = a - 5. Solve -c**5 - c**5 + 2*c**3 - 2*c**3 + s*c**w = 0 for c.
-1, 0, 1
Let k(z) be the second derivative of 0 + 1/27*z**4 + 0*z**2 + 0*z**3 - 1/90*z**5 - 1/135*z**6 + 3*z. Factor k(y).
-2*y**2*(y - 1)*(y + 2)/9
Suppose -u + 4*u - 15 = 0. Suppose 3 - 5 = -4*n - 3*g, u*g + 10 = 0. Factor 0 + 5/2*i**n + i + 2*i**3 + 1/2*i**4.
i*(i + 1)**2*(i + 2)/2
Let p be 1/(-3)*(-5 + 8). Let h be (-2 - p)*(-15)/3. Factor -4*a**3 + 8*a - 6*a - a**h + 3*a**5.
2*a*(a - 1)**2*(a + 1)**2
Let i = -133/12 + 55/4. Factor -i + 8/3*f - 2/3*f**2.
-2*(f - 2)**2/3
Determine g so that 1/5*g**3 - 2/5*g**4 + 2/5*g**2 + 0 + 0*g - 1/5*g**5 = 0.
-2, -1, 0, 1
Let n be 5*((-96)/28)/(-6). Let r = -3/139 + 1411/973. Solve 10/7*l + 2/7 + r*l**4 + 20/7*l**2 + n*l**3 + 2/7*l**5 = 0.
-1
Let -2 - 3*z - 8*z**2 - 3*z**2 + 10*z**2 = 0. What is z?
-2, -1
Let u(j) = 2*j**2 + j + 2. Let f be u(-1). Let p(o) be the second derivative of 1/10*o**f + 1/15*o**4 - 1/10*o**2 + 0 + 2*o. Find a such that p(a) = 0.
-1, 1/4
Let f(p) = 2*p**2 - 7*p + 1. Let g be (-1 + -3)*(-18)/(-24). Let o(r) = -r**2 + r + 1. Let z(n) = g*f(n) + 15*o(n). Solve z(m) = 0.
-2/7, 2
Let b(n) be the first derivative of n**4 - 2*n**2 + 11. Suppose b(r) = 0. What is r?
-1, 0, 1
Let d = -30305/654 + 1/218. Let w = -46 - d. Factor 0 - 1/3*p**3 - 1/3*p**2 + 0*p + 1/3*p**4 + w*p**5.
p**2*(p - 1)*(p + 1)**2/3
Suppose 0 = 59*x - 21*x - 76. Factor -1/2*n**2 + x*n - 2.
-(n - 2)**2/2
Let x(s) be the first derivative of s**4 - 4*s**3 + 6*s**2 - 4*s - 10. What is n in x(n) = 0?
1
Let a(n) be the second derivative of n**6/120 - n**5/60 + n**3/3 + 2*n. Let b(z) be the second derivative of a(z). Determine v, given that b(v) = 0.
0, 2/3
Let y(z) = 3*z**2 - 16*z - 8. Let o(j) = -j**2 + j + 1. Let f(d) = 44*o(d) + 4*y(d). Suppose f(k) = 0. What is k?
-1, 3/8
Determine z so that -52/3*z + 8/3*z**3 - 4/3*z**2 - 8 = 0.
-2, -1/2, 3
Let k(a) = -a**3 + 6*a**2 - 2*a - 11. Let w be k(5). Find d such that -4 + w + 4*d - 24*d**4 - 6*d**2 + 26*d**4 = 0.
-2, 0, 1
Let n(y) = -y**3 - 1. Let r(k) = -16*k**3 - 16*k**2 + 20*k - 28. Let q(d) = 20*n(d) - r(d). Let q(w) = 0. What is w?
1, 2
Let x(p) be the third derivative of -p**5/480 + p**4/48 + 24*p**2. What is v in x(v) = 0?
0, 4
Let o = -45/8 + 241/40. Factor -2/5*b**4 + 0 + 2/5*b - o*b**3 + 2/5*b**2.
-2*b*(b - 1)*(b + 1)**2/5
Let g(f) = -f**3 - 10*f**2 + 10*f - 9. Let p be g(-11). Factor 1/2*n**3 + 0*n + 0*n**p - 1/2*n**4 + 0.
-n**3*(n - 1)/2
Let n(j) be the first derivative of -j**7/700 - j**6/180 - j**5/150 + j**3/3 + 3. Let s(g) be the third derivative of n(g). Factor s(a).
-2*a*(a + 1)*(3*a + 2)/5
Factor -3/10 - 2/5*v + 2/5*v**3 + 1/10*v**4 + 1/5*v**2.
(v - 1)*(v + 1)**2*(v + 3)/10
Suppose 0 = 3*d + 2*d - 10. Let -4*x**2 - 2*x**5 + 3*x**2 + 6*x**3 - x**d + x + 2*x**4 - 5*x = 0. Calculate x.
-1, 0, 1, 2
Factor 9*o - 1 + 1 + 5*o**2 - 8*o**2.
-3*o*(o - 3)
Let f(r) = -2*r**3 + 4*r**2 - 26*r - 14. Let o(n) = n**3 - n**2 + 9*n + 5. Let b(u) = 5*f(u) + 14*o(u). Factor b(t).
2*t*(t + 2)*(2*t - 1)
Let t(m) be the third derivative of 2*m**7/455 - m**6/60 - m**5/195 + 7*m**4/156 + 2*m**3/39 - 5*m**2. Find h, given that t(h) = 0.
-1/2, -1/3, 1, 2
Let d(j) = -j + 3. Let z be d(9). Let w be 20/8 + (-3)/z. Solve 0 - 1/3*m**2 + 0*m + 1/3*m**w = 0.
0, 1
Let k(o) = -o**3 + 2*o**2 + 5*o - 2. Let h be k(3). Suppose 8 = v + 5*l, h*v + 1 - 15 = -2*l. Factor 3*y**2 - 5*y**2 + 6*y**2 - 2*y - 2*y**v.
-2*y*(y - 1)**2
Let q(h) be the second derivative of 0*h**4 - h + 0*h**3 + 1/10*h**6 + 0 + 0*h**2 + 3/20*h**5. Determine j so that q(j) = 0.
-1, 0
Suppose -34*d = 50 - 50. Factor i**3 + 1/2*i**2 + d*i + 0.
i**2*(2*i + 1)/2
Let z(o) be the second derivative of 0*o**3 + 0 + 1/15*o**6 - 1/5*o**5 + 0*o**2 + 1/6*o**4 + 3*o. Factor z(f).
2*f**2*(f - 1)**2
Solve 3*r**3 - 2*r**2 - r**2 - 4*r**3 + 4*r**3 = 0 for r.
0, 1
Suppose -3*q - 3*k + 7 = -5, -q + 7 = -2*k. Let x be 26/91 - 19/(-7). Find t, given that 0*t + 0*t**x + 0 - 2/7*t**q + 2/7*t**4 + 0*t**2 = 0.
0, 1
Suppose 3*r = -3*r + 42. Factor -2*n + 0*n**2 + 357*n**4 - 7*n**3 - 355*n**4 + r*n**2.
n*(n - 2)*(n - 1)*(2*n - 1)
Let i(q) be the second derivative of -q**7/105 + q**6/30 - q**4/6 + q**3/3 + 9*q**2/2 + 2*q. Let d(h) be the first derivative of i(h). Factor d(k).
-2*(k - 1)**3*(k + 1)
Let x(m) = 2*m**3 - 15*m**2 + 11*m - 24. Let h be x(7). Factor 0 + 4/3*t**3 + 2/9*t**2 + 0*t + 8/9*t**5 + 2*t**h.
2*t**2*(t + 1)**2*(4*t + 1)/9
Suppose 0*w = 3*w - 54. Let y = w - 8. Factor -5*m**2 + 3 - 1 + y*m**2 + 2*m**2 - 9*m.
(m - 1)*(7*m - 2)
Let v(d) = d**2 - 10*d + 6. Let p be v(10). Let w(t) be the second derivative of 1/90*t**p + 0*t**3 - t - 1/36*t**4 + 0*t**2 + 0*t**5 + 0. Factor w(y).
y**2*(y - 1)*(y + 1)/3
Let y = 6 - 6. Let q be 10/(y + 2) + -3. What is v in -4*v**2 + q*v + 2*v**3 + 2 + 1 - 3 = 0?
0, 1
Let n(f) = -3*f + 2*f - 3*f**2 + f**2 + 2. Let b(p) = -p**2. Let q(w) = 3*b(w) - 3*n(w). Factor q(g).
3*(g - 1)*(g + 2)
Let l(r) = -4*r**2 - 4*r + 5. Let t(o) be the third derivative of -7*o**5/60 - 7*o**4/24 + 3*o**3/2 + 2*o**2. Let m(k) = 10*l(k) - 6*t(k). Solve m(x) = 0.
-2, 1
Let g(h) be the second derivative of 7*h**5/25 - h**4/60 - h**3/15 - 6*h. What is x in g(x) = 0?
-1/4, 0, 2/7
Let n = -494 - -2965/6. Let -n - 1/6*k**2 - 1/3*k = 0. What is k?
-1
Facto