8 - 11*r**7/105 + 23*r**6/60 + 47*r**5/30 - 2*r**4 - 12*r**3 - 43*r**2. Let f(w) = 0. Calculate w.
-1, 1, 6
Let b = -2/643 + 1304/5787. Let j be (-2)/8 - 26/(-8). Factor b*g**j + 0*g - 8/9 + 2/3*g**2.
2*(g - 1)*(g + 2)**2/9
Let 5/2*l**2 - 1/2*l**3 + 2 - 4*l = 0. What is l?
1, 2
Factor 0*n - 3/2*n**2 + 6.
-3*(n - 2)*(n + 2)/2
Let c(o) be the first derivative of -o**6/15 + 6*o**5/25 - o**4/5 - 30. Determine a so that c(a) = 0.
0, 1, 2
Factor -3*y - 5*y + 7*y**3 - 3*y**3 - 2*y**2 + 6*y**2.
4*y*(y - 1)*(y + 2)
Let x = 2 - 0. Factor 3*v**2 - x*v**2 - 2*v + v**3 + 0*v**2.
v*(v - 1)*(v + 2)
Factor 437*c**3 - 12 + 3*c**2 + 3*c - 440*c**3 + 0*c + 9*c.
-3*(c - 2)*(c - 1)*(c + 2)
Let u(z) = 2*z**2 + 14*z + 12. Let l(o) = -3*o**2 - 21*o - 18. Let a(t) = 5*l(t) + 8*u(t). Let c be a(-6). Factor 7/3*d**3 + 2/3*d**2 + c*d + 0.
d**2*(7*d + 2)/3
Let b = 8 - 20. Let l be (5/b)/(6/(-16)). Determine z, given that 14/9*z**2 + 2/9 - 2/9*z**3 - 16/9*z**4 - 8/9*z**5 + l*z = 0.
-1, -1/2, 1
Let s(t) = -5*t**2 + 74*t - 241. Let m(x) = -15*x**2 + 221*x - 724. Let o(j) = 4*m(j) - 11*s(j). Factor o(b).
-5*(b - 7)**2
Suppose m + 1 = 3. Suppose h = -2*h - m*f + 20, -5*f = -5*h. Factor 0 + 1 - 6*s**2 + s**4 + h*s**2.
(s - 1)**2*(s + 1)**2
Let j(o) be the second derivative of o**7/21 - o**6/3 + o**5 - 5*o**4/3 + 5*o**3/3 - o**2 + 11*o. Factor j(i).
2*(i - 1)**5
Let u(m) be the second derivative of -4*m**6/15 - m**5/2 - m**4/6 - 3*m + 4. Let u(q) = 0. Calculate q.
-1, -1/4, 0
Let f(c) be the second derivative of -c**7/84 + c**6/60 + c**5/40 - c**4/24 - 27*c. Find t, given that f(t) = 0.
-1, 0, 1
Let u be 0 + ((-39)/15 - -3). Let d(i) be the first derivative of 1/2*i**4 + u*i**5 - i**2 - 2/3*i**3 + 0*i - 2. Factor d(p).
2*p*(p - 1)*(p + 1)**2
Let l(a) = 2*a - 2*a + 3*a**2 + 3*a + 7*a**3 + 5. Suppose -2*g + 0 + 14 = 0. Let t(i) = -8*i**3 - 4*i**2 - 3*i - 6. Let w(v) = g*l(v) + 6*t(v). Factor w(k).
(k - 1)**3
Solve -5*k**4 - 94*k**2 + 4*k**4 - 2*k**4 + 22*k**2 - 48*k - 27*k**3 = 0 for k.
-4, -1, 0
Let u(q) = -q**3 - 12*q**2 - 14*q - 31. Let x be u(-11). Factor -9/4*d - 7/2*d**3 - 4*d**x - 1/4*d**5 - 3/2*d**4 - 1/2.
-(d + 1)**4*(d + 2)/4
Let r(f) = -f - 3. Suppose 0 = 3*g - y + 6 + 6, -5*g - 3*y = 34. Let p be r(g). Suppose -1/4*v**p + 1/4 + 0*v = 0. Calculate v.
-1, 1
Let i(l) = 9*l**3 - 28*l**2 + 113*l - 137. Let o(d) = 5*d**3 - 14*d**2 + 56*d - 68. Let q(p) = -4*i(p) + 7*o(p). Suppose q(a) = 0. What is a?
2, 6
Suppose -7*h - 45 = -22*h. Factor 0*x - 1/5*x**h + 1/5*x**5 + 0 + 1/5*x**4 - 1/5*x**2.
x**2*(x - 1)*(x + 1)**2/5
Let s(b) be the third derivative of b**7/70 + b**6/40 - b**5/20 - b**4/8 - 5*b**2. Suppose s(t) = 0. Calculate t.
-1, 0, 1
Let s(g) be the second derivative of 0 - 2/5*g**5 - g**4 - 3/4*g**3 - 1/4*g**2 - 5*g. Determine q so that s(q) = 0.
-1, -1/4
Let f be (5 - 5)*2/8. Let j(l) be the second derivative of f + 1/60*l**5 + 0*l**2 + 0*l**3 - 1/36*l**4 - l. Factor j(g).
g**2*(g - 1)/3
Suppose -3*b = 2*b - 20. Factor 2 - 39*o**3 + 0*o + o + 27*o**b - o**2 + 10*o.
(o - 1)**2*(3*o + 1)*(9*o + 2)
Let u(i) be the third derivative of -9*i**8/112 - 24*i**7/35 - 11*i**6/5 - 16*i**5/5 - 2*i**4 - 33*i**2. Factor u(o).
-3*o*(o + 2)**2*(3*o + 2)**2
Let x(c) be the third derivative of 0 + 7*c**2 + 0*c + 0*c**4 - 1/630*c**7 - 1/180*c**5 + 0*c**3 + 1/180*c**6. Solve x(v) = 0.
0, 1
Let z = -3 + 11. Let x(p) = p**3 - 7*p**2 - 8*p + 2. Let y be x(z). Suppose 0 + 3/5*t**y - 2/5*t = 0. What is t?
0, 2/3
Let c(d) be the third derivative of d**8/336 - d**6/60 + d**4/24 - 6*d**2. Factor c(g).
g*(g - 1)**2*(g + 1)**2
Let w(k) be the third derivative of -k**7/525 + k**6/75 - 2*k**5/75 + 16*k**2. Find u, given that w(u) = 0.
0, 2
Let d(a) be the second derivative of -a**6/15 + 2*a**5/5 - 5*a**4/6 + 2*a**3/3 - 9*a. Solve d(j) = 0.
0, 1, 2
Let j(m) = -m**2 + m - 1. Let f(v) = -7*v**2 - 9*v - 11. Let h(s) = f(s) - 3*j(s). Factor h(q).
-4*(q + 1)*(q + 2)
Let m(k) be the third derivative of -k**5/20 + k**4/4 - k**3/2 + 4*k**2. Determine p, given that m(p) = 0.
1
Suppose 0 = 36*y - 22*y - 28. Factor 2/3*q**y + 0*q - 2/3*q**4 + 2/3*q**3 - 2/3*q**5 + 0.
-2*q**2*(q - 1)*(q + 1)**2/3
Find j such that -608/17*j - 6/17*j**5 + 80/17*j**4 + 128/17 - 386/17*j**3 + 792/17*j**2 = 0.
1/3, 1, 4
Let s(m) be the third derivative of -11*m**7/840 - 31*m**6/480 - 9*m**5/80 - 5*m**4/96 + m**3/12 - 2*m**2. Let s(a) = 0. Calculate a.
-1, 2/11
Let t = -98/3 - -35. Factor 5*z + t*z**2 + 3 + 1/3*z**3.
(z + 1)*(z + 3)**2/3
Suppose -2*s - 3*b - 2 = 0, 0 = s - 0*s + 5*b + 8. Suppose -7*v**4 - s*v**4 + 3*v + 7*v**3 + 14*v**3 - 15*v**2 = 0. What is v?
0, 1/3, 1
Factor -v**4 - 31*v**3 + 3*v + 3*v**5 + 25*v**3 + v**4.
3*v*(v - 1)**2*(v + 1)**2
Let y(n) be the first derivative of 3*n**5/10 + 5*n**4/8 - 11*n**3/6 + 3*n**2/4 + 67. Suppose y(h) = 0. What is h?
-3, 0, 1/3, 1
Let f(s) be the third derivative of 0*s**3 - 1/96*s**4 + 2*s**2 + 0 + 0*s - 1/480*s**6 - 1/120*s**5. Find g, given that f(g) = 0.
-1, 0
Let q(y) be the second derivative of -3*y**5/20 + y**4 + y**3/2 - 6*y**2 + 10*y. Solve q(p) = 0.
-1, 1, 4
Let u = 197 - 191. Factor -42*x - 105*x**3 - 75/2*x**4 - 207/2*x**2 - u.
-3*(x + 1)**2*(5*x + 2)**2/2
Let y be (42/(-63))/(4/(-30)). Find g such that -y*g**4 + 2*g**3 + 5*g**2 - 5*g**3 - 3*g**2 = 0.
-1, 0, 2/5
Let z be (1 - (4 - 0))*-1. Let 0*r**2 - r + 2/3 + 1/3*r**z = 0. Calculate r.
-2, 1
Suppose 3*h - 15 = -0*h, 5*h = -2*q + 29. Find p such that 6*p**q - 2*p**3 - 4*p**4 + 0*p**4 + p**4 - 4 + p**4 + 2*p = 0.
-2, -1, 1
Let m = 689/4 - 171. Let y = -11/12 + m. Determine i, given that -2/3*i**2 + 0 + y*i + 1/3*i**3 = 0.
0, 1
Let i be ((-4)/54)/(16/(-48)). Solve 4/9*a**3 + 0*a**2 + 0*a + 0 + i*a**4 = 0.
-2, 0
Let i(d) be the first derivative of -d**6/18 - d**5/3 - 5*d**4/6 - 10*d**3/9 - 5*d**2/6 - d/3 + 4. Factor i(r).
-(r + 1)**5/3
Factor 0 + 0*g + 12/7*g**3 - 8/7*g**4 + 8/7*g**2.
-4*g**2*(g - 2)*(2*g + 1)/7
Let p be 24/(-42) - 17/7. Let a be 2/p + 4/6. Solve -1/3*k**2 + 0*k + 0*k**3 + a + 1/3*k**4 = 0 for k.
-1, 0, 1
Let z be (-10)/(-60) + (-1)/6. Solve 0 + z*w - 2/11*w**4 - 8/11*w**3 - 8/11*w**2 = 0.
-2, 0
Let m(p) = -p. Let c be m(-2). Factor 3*u**2 + 2*u**4 - u**4 - 4*u**c.
u**2*(u - 1)*(u + 1)
Let m(z) be the first derivative of -z**5/20 + z**4/4 - z**3/2 + z**2/2 - z/4 - 6. Factor m(s).
-(s - 1)**4/4
Let r be 37 + -34 + (-28)/6 + 2. Factor -1/3*m**3 + 0 - r*m + 2/3*m**2.
-m*(m - 1)**2/3
Let m be (-1)/6 + 31/6. Let t = 6 - 4. Find y, given that -t*y**m - y**5 - 1 - 6*y**2 + 7*y + 8*y**4 - 4*y**3 - 1 = 0.
-1, 2/3, 1
Let o(c) be the first derivative of 0*c + 3/10*c**5 + 1 + 0*c**2 - 3/4*c**4 + 1/2*c**3. What is b in o(b) = 0?
0, 1
Let f be 13/(-39) - (-4)/12. Find k such that 0 + 2/5*k**5 + 2/5*k**4 + f*k - 2/5*k**2 - 2/5*k**3 = 0.
-1, 0, 1
Find s, given that -5*s - 6 + 6 - 5*s**2 = 0.
-1, 0
Let w(k) be the third derivative of k**6/50 + k**5/150 - k**4/15 + k**3/15 + 10*k**2. Determine d so that w(d) = 0.
-1, 1/3, 1/2
Let h(g) be the second derivative of -g - 1/6*g**4 + 1/2*g**2 - 1/30*g**5 - 1/3*g**3 + 0. Let f(t) be the first derivative of h(t). Solve f(r) = 0.
-1
Let r = 28 - 107/4. Find y, given that 1/2 + 5/4*y - r*y**3 - 1/2*y**2 = 0.
-1, -2/5, 1
Suppose 12*u = 9*u + 6. Find p, given that 2/9*p + 0 + 4/9*p**u + 2/9*p**3 = 0.
-1, 0
Let g(v) be the second derivative of 4*v + 2*v**2 + 0 - 1/150*v**5 + 1/20*v**4 - 2/15*v**3. Let p(o) be the first derivative of g(o). Factor p(f).
-2*(f - 2)*(f - 1)/5
Let l(k) be the first derivative of -5*k**3/3 - 5*k**2/2 + 10. Factor l(a).
-5*a*(a + 1)
Let d(v) be the first derivative of -12*v**3 + 12*v**2 - 4*v + 22. Factor d(c).
-4*(3*c - 1)**2
Suppose -o - o = -4*m - 12, 3*o - 10 = -2*m. Let x(j) be the first derivative of 4*j**3 + 2*j + 3 + 4*j**2 + 2/5*j**5 + 2*j**o. Determine f so that x(f) = 0.
-1
Find w such that 4*w**4 + 23*w**2 + w**2 + 16*w - 38 + 6 - 20*w**3 = 0.
-1, 2
Let c = -37086 - -335684/9. Let q = c - 212. What is b in -q*b**3 + 2/9*b**2 + 2/9*b - 2/9 = 0?
-1, 1
Let i(t) = -t - 3. Let x be i(-5). Suppose 8*o - 6*o + 2*o**x - 6*o = 0. Calculate o.
0, 2
Suppose -o - 1 = -6. Suppose -o*p = -0*p. Suppose 6/5*u**2 - 6/5*u**3 - 2/5*u + p + 2/5*u**4 = 0. Calculate u.
0, 1
Let x be (-1)/4 + 230/(-8). Let i = 29 + x. Factor -1/4*g**3 + i*g + 1/4*g**2 + 0.
-g**2*(g - 1)/4
