 + b**4/48 + 2*b**2 + 6. Let x(c) be the second derivative of w(c). Factor x(r).
-r*(r - 2)*(r + 1)/4
Let o(y) = y**2 - y + 1. Let j(v) = 5*v**2 - 10*v + 1. Let k(h) = -j(h) + 4*o(h). Let q be k(6). Factor -2*m + 2*m**q + 2*m.
2*m**3
Find b such that 19/3*b**3 + 0 + 8/3*b**2 - 4/3*b + 7/3*b**4 = 0.
-2, -1, 0, 2/7
Let k(j) be the first derivative of -j**5/20 + j**4/16 + j**3/6 - 39. Determine y so that k(y) = 0.
-1, 0, 2
Suppose 3*o - 55 = -4*d, -2*o - 3 = -o - 4*d. Factor 0*q**2 + 2 - 4*q**3 - o*q + 13*q**2 + 2*q.
-(q - 2)*(q - 1)*(4*q - 1)
Suppose -21 = 3*l - 0. Let b = 10 + l. Solve 8*h**2 - 4/3 - 2*h - 14/3*h**b = 0.
-2/7, 1
Let n(j) = -10*j**2 + 6*j. Let u(l) = -l**2 + l. Let s(k) = -n(k) + 5*u(k). Let a be s(1). Factor a*h**2 - 4 - 2*h**2 + 3 - h**4.
-(h - 1)**2*(h + 1)**2
Let u = 888 + -888. Let 1/5*t**3 + 0*t**2 + u - 1/5*t = 0. Calculate t.
-1, 0, 1
Let q(v) = 9*v**2 - 3*v - 29. Let p(l) = 4*l**2 - 2*l - 14. Let x be 4/26 - (-28)/(-13). Let s be x/4*(-48)/(-4). Let j(y) = s*q(y) + 13*p(y). Factor j(k).
-2*(k + 2)**2
Suppose -4*m + 31 = 3*u, 2*u - 8 = -2*m + 10. Determine b so that 0*b**3 + 0*b + 0 + 1/5*b**m + 0*b**2 = 0.
0
Solve 4/5*o**3 - 12/5*o**2 + 0 + 8/5*o = 0.
0, 1, 2
Let h(x) = -x**3 - 5*x**2 + 6. Let z be h(-5). Let p = -4 + z. Solve 0*t + 1/4*t**4 + 1/2*t**3 + 1/4*t**p + 0 = 0.
-1, 0
Let b be (-24)/(-9)*18/4. Factor c**2 + 16 - 6 - b + c.
(c - 1)*(c + 2)
Let c(x) = x**4 - x**3 + x**2 - 1. Let k(r) = 7*r**4 - 9*r**3 + 2. Let v(m) = -2*c(m) - k(m). Determine s so that v(s) = 0.
0, 2/9, 1
Let j(n) = 15*n**4 + 15*n**3. Let d(f) = -5 + 4*f**4 + 4*f**3 + 2 + 3. Let a(z) = -22*d(z) + 6*j(z). Factor a(h).
2*h**3*(h + 1)
Determine q, given that 2*q - 2 - 1/2*q**2 = 0.
2
Let u(f) = 5*f**2 + 7*f - 5. Let d = 6 - 4. Let b(s) = 4 - 3*s - 2 - 3*s**d + s**2. Let n(z) = -7*b(z) - 3*u(z). Solve n(q) = 0.
-1, 1
Let x(a) = -8*a**2 + 14*a + 7. Let o(f) = -9*f**2 + 15*f + 6. Let z(u) = 5*o(u) - 6*x(u). Let z(m) = 0. What is m?
-1, 4
Suppose 0 = 3*l - 9 - 0. Let b be 3/9 - 41/(-3). Factor 0*p**2 + 4*p - 2*p**2 - l*p**2 - 5*p**2 - b*p**3.
-2*p*(p + 1)*(7*p - 2)
Let d(p) be the first derivative of 2*p**6/75 + p**5/25 - p**4/15 - 2*p**3/15 - 4*p - 3. Let u(s) be the first derivative of d(s). Let u(l) = 0. What is l?
-1, 0, 1
Let f(z) = -z**3 + 14*z**2 - 8*z + 7. Let a be f(13). Let y = a - 214/3. Factor -7/3*l**3 - y*l**2 - 5/3*l**4 + 0 + 0*l.
-l**2*(l + 1)*(5*l + 2)/3
Factor -80/3*p**2 + 40/3*p**3 + 0 + 0*p - 5/3*p**4.
-5*p**2*(p - 4)**2/3
Let p be 9/4 - 3/(-4). Suppose -a = 2*f + 5, p*a + 2*a + 2*f - 7 = 0. Factor -3/4*l**2 - 1/4*l**4 + 0 - 1/4*l - 3/4*l**a.
-l*(l + 1)**3/4
Let b(w) be the third derivative of -w**7/2940 + w**5/420 + w**3/3 + w**2. Let u(i) be the first derivative of b(i). Let u(q) = 0. What is q?
-1, 0, 1
Let a(y) = y**3 + 6*y**2 + 3*y - 5. Let t be a(-5). Suppose t*d - 6 = 4. Factor 0*u + 0 - 2/9*u**d - 2/9*u**3.
-2*u**2*(u + 1)/9
Let u be (6/(-5))/((-26)/(-65)). Let w be -3 + u/(60/(-68)). Solve 4/5*o**2 + 0 - 2/5*o - w*o**3 = 0.
0, 1
Let g(b) = 3*b**2 + 2*b - 2. Let n be g(1). Suppose n*q + q = 8. Find t, given that 0 - 4/7*t - q*t**2 = 0.
-2/7, 0
Let c(i) be the second derivative of 3*i**6/80 + 3*i**5/32 + i**4/32 - i**3/16 + 16*i. Determine y so that c(y) = 0.
-1, 0, 1/3
Let u(f) be the second derivative of f**5/300 - f**4/120 - 2*f**2 - 3*f. Let k(w) be the first derivative of u(w). Suppose k(s) = 0. Calculate s.
0, 1
Let t(i) be the third derivative of i**8/2352 - i**7/1470 - i**2 + 6*i. Factor t(s).
s**4*(s - 1)/7
Let q(d) be the first derivative of -3*d**3 + 3*d**2 - d + 7. Solve q(m) = 0 for m.
1/3
Let c(j) be the second derivative of 0*j**2 - 1/12*j**4 + 0*j**3 + 0 + 1/30*j**6 + 2*j + 0*j**5. Find l such that c(l) = 0.
-1, 0, 1
Let h(t) = -2*t**5 - 8*t**4 - 6*t**3 + 13*t**2 + 13*t. Let i(y) = 2*y**5 + 8*y**4 + 6*y**3 - 12*y**2 - 12*y. Let x(z) = 4*h(z) + 5*i(z). Factor x(g).
2*g*(g - 1)*(g + 1)*(g + 2)**2
Suppose 0 = -6*n + 5*n + 6. Let q(v) be the second derivative of 7/135*v**n - 1/18*v**5 - 1/27*v**4 + 0*v**2 + 0 - 2*v + 0*v**3. Let q(s) = 0. Calculate s.
-2/7, 0, 1
What is w in -1/5*w + 1/5*w**2 + 0 = 0?
0, 1
Let z(w) be the second derivative of 1/3*w**3 + 0 + 0*w**2 + 3*w + 1/12*w**4. Factor z(c).
c*(c + 2)
Let d(g) be the third derivative of -g**6/60 - 3*g**5/5 - 9*g**4 - 72*g**3 - 31*g**2. Factor d(l).
-2*(l + 6)**3
Let b be 28/30 + 4/6. Let d be (-2)/(-7) - (-36)/315. Solve b*n**2 + d*n + 0 - 6/5*n**5 - 8/5*n**4 + 4/5*n**3 = 0 for n.
-1, -1/3, 0, 1
Let l(p) be the third derivative of -p**6/24 - p**5/4 - 5*p**4/12 + p**2. Solve l(i) = 0.
-2, -1, 0
Let q(v) = -8*v**2 + 13*v - 2. Let s(t) = -7*t**2 + 12*t - 3. Let u(h) = -2*q(h) + 3*s(h). Factor u(i).
-5*(i - 1)**2
Suppose 2*x - 7 - 1 = 0. Let c(i) be the third derivative of 0 + 3*i**2 + 0*i**3 - 1/60*i**5 + 0*i + 1/24*i**x. Factor c(b).
-b*(b - 1)
Let i be 10*((-14)/(-10) + 11 + -12). Factor -14/5*c**5 - 4/5*c**2 + 0 - 22/5*c**3 - 32/5*c**i + 0*c.
-2*c**2*(c + 1)**2*(7*c + 2)/5
Factor 4/7*l**2 - 4/7*l**4 + 0 + 4/7*l**3 - 4/7*l**5 + 0*l.
-4*l**2*(l - 1)*(l + 1)**2/7
Let g(n) be the first derivative of 3 + 8/15*n**3 + 6/5*n**4 + 0*n + 2/5*n**5 + 0*n**2. Factor g(x).
2*x**2*(x + 2)*(5*x + 2)/5
Let k(w) be the second derivative of w**5/10 - w**4/6 - 2*w**3 - 57*w. Let k(b) = 0. Calculate b.
-2, 0, 3
Let b(o) = -2*o**2 - 7*o - 2*o**2 - 12*o**4 + 9*o**3 - 7*o**2. Let n(d) = -6*d**4 + 5*d**3 - 5*d**2 - 3*d. Let k(w) = 3*b(w) - 7*n(w). Factor k(z).
2*z**2*(z - 1)*(3*z - 1)
Let x(c) = c**2 + 7*c + 7. Let u be x(-6). Suppose -2*b + 0*m = -m - u, 8 = b + 2*m. Factor -6*h**2 - 2*h + 8*h - b*h.
-2*h*(3*h - 2)
Let r = 38 + -62. Let q be 7 - (r/(-4) - 3). Find f, given that -2/7*f**3 - 2/7*f**q + 2/7*f**2 + 2/7*f + 0 = 0.
-1, 0, 1
Let j(b) be the third derivative of b**7/70 + 3*b**6/40 - b**5/20 - 3*b**4/8 - 12*b**2. Solve j(i) = 0 for i.
-3, -1, 0, 1
Let u be -4 + -117 + -3 + 6. Let r = u + 592/5. Factor 0 + r*p**4 + 0*p**2 - 4/5*p**3 + 0*p.
2*p**3*(p - 2)/5
Determine f so that 10/3*f**2 - 8/3*f**3 + 2/3*f**4 - 4/3*f + 0 = 0.
0, 1, 2
Let a be 1*((-6)/3 - 66). Let r = -133/2 - a. Factor -2*v + 1/2*v**4 + r*v**2 - 2 + 2*v**3.
(v - 1)*(v + 1)*(v + 2)**2/2
Let w be -6 - -3 - (-315)/102. Let k = 77/102 - w. Find y, given that 0*y - k*y**2 + 0 = 0.
0
Let y = 26 - 180/7. Factor -y*f**2 + 0*f + 2/7.
-2*(f - 1)*(f + 1)/7
Find m, given that -4 - 6 - 8*m + 8*m**3 + 9 - 15*m**2 + 16*m**4 = 0.
-1, -1/4, 1
Let a(v) = 5*v**2 + 3*v + 3. Suppose -3*j - 6 = 0, 2*y - 3*j - 8 - 4 = 0. Let k(i) = -16*i**2 - 10*i - 10. Let w(b) = y*k(b) + 10*a(b). Factor w(l).
2*l**2
Let d(t) be the second derivative of -t**7/63 - t**6/9 - 7*t**5/30 - t**4/6 + t + 22. Determine q, given that d(q) = 0.
-3, -1, 0
Let o(p) be the second derivative of 0 + 3/10*p**3 + 1/20*p**4 + 3/5*p**2 - 2*p. Find f such that o(f) = 0.
-2, -1
Let x(p) be the first derivative of 7*p**5/30 + 2*p**4/3 + 11*p**3/18 + p**2/6 + 2. Factor x(l).
l*(l + 1)**2*(7*l + 2)/6
Factor 1/9*p**2 - 14/9*p + 49/9.
(p - 7)**2/9
Find q such that 0 - 3/5*q - 4/5*q**2 - 1/5*q**3 = 0.
-3, -1, 0
Let 24 + 16*s**3 - 41*s**2 - 13*s**2 - 38*s**2 + 8 + 104*s = 0. Calculate s.
-1/4, 2, 4
Let j = 15 - 16. Let k be 13/(-26)*3*j. Solve -r**4 + 0 - r**2 - 1/4*r - k*r**3 - 1/4*r**5 = 0 for r.
-1, 0
Let w(f) be the second derivative of -2*f - 1/6*f**4 - 7/50*f**5 + 2/15*f**3 + 0 + 0*f**2. Factor w(o).
-2*o*(o + 1)*(7*o - 2)/5
Let w be (3/(-6) - -1)*4. Let f(u) = -u**3 + 6*u**2 + 2*u - 9. Let r be f(6). Let -4*j**2 - 5*j**4 + w*j**2 + 4*j**3 + r*j**4 = 0. What is j?
0, 1
Let j(x) be the first derivative of -5*x**4 - 128*x**3/3 - 74*x**2 - 40*x + 34. Let j(n) = 0. What is n?
-5, -1, -2/5
Let m be 1 - (2 - 0/(-1)). Let c(j) = 4*j**3 + 14*j**2 + 16*j + 4. Let z(q) = -q**3 - q**2 + q. Let w(d) = m*c(d) + 2*z(d). Factor w(s).
-2*(s + 1)**2*(3*s + 2)
Let k = 8 - 7. Let b be 6*(k/(-2))/(-1). Solve 4/3*t**4 - 1/3*t + 4/3*t**2 - 1/3*t**5 - 2*t**b + 0 = 0 for t.
0, 1
Let x(w) be the first derivative of -3*w**4/28 - 4*w**3/7 - 15*w**2/14 - 6*w/7 - 7. Solve x(b) = 0.
-2, -1
What is x in -5/4*x**3 - 35/4*x + 0 + 10*x**2 = 0?
0, 1, 7
Let l(y) be the third derivative of -1/3*y**3 + 0 + 5/24*y**4 - 1/15*y**5 + 1/120*y**6 + 0*y + y**2. Factor l(g).
(g - 2)*(g - 1)**2
Let u be 6/(270/14