j so that -30*j**2 + 270 - 270 + 3*j**3 + 75*j = 0.
0, 5
Let p be (6/5)/((-30)/(-100)). Solve 0 - 10/7*b**2 + 4/7*b - 4/7*b**3 + 10/7*b**p = 0 for b.
-1, 0, 2/5, 1
Let p(o) = 15*o**3 + 9*o**2 - 24*o - 21. Let f(d) = 4*d**3 + 2*d**2 - 6*d - 5. Let j(y) = 21*f(y) - 5*p(y). Factor j(n).
3*n*(n - 1)*(3*n + 2)
Let c(z) = -z. Let x(w) = w**2 - 7*w + 1. Let u(o) = -o**3 + 7*o**2 + 7*o + 10. Let g be u(8). Let s(h) = g*x(h) - 18*c(h). Solve s(f) = 0.
-1
Let y(w) be the third derivative of 0*w - 2/15*w**3 - 1/20*w**4 - 7*w**2 + 0 - 1/150*w**5. Solve y(z) = 0 for z.
-2, -1
Let b(x) be the first derivative of -2 + 2/3*x**2 + 2/3*x + 2/9*x**3. Factor b(i).
2*(i + 1)**2/3
Let b(x) be the first derivative of 4*x**3/9 - 4*x/3 + 1. Let b(v) = 0. What is v?
-1, 1
Let a(l) be the third derivative of l**6/480 - 7*l**5/240 - l**4/96 + 7*l**3/24 - 50*l**2. Factor a(n).
(n - 7)*(n - 1)*(n + 1)/4
Let r(h) = h**2 - 8*h - 9. Let q be r(9). Factor 4 - 4 - 3*l**2 + q.
-3*l**2
Suppose 26 = 7*p + 5. Factor -3/2*y + 1/2 + 3/2*y**2 - 1/2*y**p.
-(y - 1)**3/2
Let l(x) be the second derivative of x**6/195 - x**5/65 - x**4/78 + 2*x**3/39 + 2*x. Solve l(z) = 0 for z.
-1, 0, 1, 2
Let a be 1/4 + 14/8. Suppose 2*p + 8*m = 3*m + 3, 5 = p - m. Factor -1 - q**a + 0*q - p*q + 2*q.
-(q + 1)**2
Let v(t) be the second derivative of 49/90*t**6 + 0 - 2*t + 2/9*t**3 + 0*t**2 + 8/9*t**4 + 77/60*t**5. Determine q, given that v(q) = 0.
-1, -2/7, 0
Factor 13*v**3 - 3*v**5 - 52*v**2 - 4*v**3 + 46*v**2.
-3*v**2*(v - 1)**2*(v + 2)
Suppose -4*s = -10 + 2. Let i be s/(-7)*56/(-40). Factor 0 + 0*l**3 - i*l**4 + 0*l + 2/5*l**2.
-2*l**2*(l - 1)*(l + 1)/5
Let k be ((-21)/(-70))/((-141)/(-45) + -3). Determine h, given that 3/4*h**4 - k*h**3 + 0 + 3/2*h**2 + 0*h = 0.
0, 1, 2
Let a(b) = -19*b + 60. Let f be a(3). Solve -1/3*m**4 + 0 - 1/3*m - m**2 - m**f = 0.
-1, 0
Let j(p) be the third derivative of -p**8/1344 + p**7/840 + p**6/240 + 3*p**2. Factor j(b).
-b**3*(b - 2)*(b + 1)/4
Factor 0*z**3 + 49*z**4 - 9*z**3 - 46*z**4.
3*z**3*(z - 3)
Let m(v) = -3 - v - 4*v - 7*v**2 - v**3 - 2*v. Let n be m(-6). Factor -2/5*k**2 - 1/5*k**n + 0 - 1/5*k.
-k*(k + 1)**2/5
Let s = 21 + -16. Let o(c) be the second derivative of -c + 0*c**2 + 0*c**s + 0 - 1/15*c**4 + 2/75*c**6 + 1/15*c**3 - 1/105*c**7. Let o(m) = 0. What is m?
-1, 0, 1
Let l = 35 + -35. Let r(c) be the third derivative of -1/9*c**3 - 2*c**2 + 0*c + l*c**4 + 0 + 1/90*c**5. Solve r(u) = 0.
-1, 1
Let m(o) be the first derivative of -o**5/50 + o**4/30 + 3*o - 2. Let w(k) be the first derivative of m(k). Factor w(g).
-2*g**2*(g - 1)/5
Let f be ((-12)/(-9))/(2/3). Factor 2*l + 5*l**2 - 3*l**2 - 3*l**f.
-l*(l - 2)
Let m be ((-1)/(-2))/((-3)/(-36)). Let a = -13 - -18. Factor -y**2 - 3*y**3 - 7*y**a - m*y**4 + 3*y**2 - 6*y**4.
-y**2*(y + 1)**2*(7*y - 2)
Suppose 3*c - 2*p = 12, -5*p - 6 = 3*c - p. Let n(u) be the first derivative of -1/5*u**c - 1/15*u**3 - 3 - 1/5*u. Suppose n(v) = 0. What is v?
-1
Let w(f) = f**2 + 2. Let x(i) = 2*i**2 + 3. Let r(g) = -g**2 + 4*g + 2. Let n be r(5). Let v(j) = n*x(j) + 5*w(j). Factor v(u).
-(u - 1)*(u + 1)
Let 3*b + 15*b**3 + 4*b - 40*b**4 - b + 8*b**5 - 32*b**2 + 43*b**3 = 0. Calculate b.
0, 1/2, 1, 3
Let n(f) be the third derivative of 1/735*f**7 + 1/210*f**5 - 3*f**2 + 0*f + 0*f**3 + 0 + 1/210*f**6 + 0*f**4. Solve n(c) = 0.
-1, 0
Let g(c) = -12*c - 1. Let y be g(-1). Let p(b) be the first derivative of y*b**2 - 2*b**4 + 1 + 32/5*b**5 - 28/3*b**3 - 7/3*b**6 - 4*b. Solve p(v) = 0 for v.
-1, 2/7, 1
Let j(n) be the third derivative of n**8/1680 + n**7/175 + n**6/50 + 2*n**5/75 - 7*n**2. Solve j(i) = 0 for i.
-2, 0
Let p(i) be the third derivative of i**6/360 - i**3/6 + i**2. Let f(z) be the first derivative of p(z). What is t in f(t) = 0?
0
Let r(c) be the second derivative of 0*c**3 + 0*c**5 + 0*c**4 - 3*c + 0*c**2 + 0 + 1/45*c**6 - 1/63*c**7. Suppose r(q) = 0. What is q?
0, 1
Let g(t) be the first derivative of -t**4/26 - 6*t**3/13 - 15*t**2/13 - 14*t/13 + 48. What is h in g(h) = 0?
-7, -1
Suppose 2*k + 0 - 1 = 3*h, -2*k + 4*h - 2 = 0. Let f = 4 + 0. Factor -3*g**3 + 4*g + 6*g**f + 3*g**k - 6*g**2 - 4*g.
3*g**2*(g - 1)*(g + 1)*(g + 2)
Factor -4/9*g - 38/9*g**4 + 0 + 14/9*g**5 - 2/9*g**2 + 10/3*g**3.
2*g*(g - 1)**3*(7*g + 2)/9
Factor -15*k**2 + 10*k**2 + 4*k + 16*k - 16 + 1.
-5*(k - 3)*(k - 1)
Let g(y) = 8*y**3 + 8*y**2 - 20*y - 28. Let d(o) = -9*o**3 - 8*o**2 + 21*o + 27. Let u(k) = 4*d(k) + 5*g(k). Find v such that u(v) = 0.
-2, 2
Let c(m) = 140*m**3 + 355*m**2 + 155*m + 20. Let b(l) = -l. Let n(w) = 5*b(w) - c(w). Let n(r) = 0. Calculate r.
-2, -2/7, -1/4
Let -8/5*m**2 + 6/5*m**4 + 0 + 0*m + 2/5*m**5 + 0*m**3 = 0. Calculate m.
-2, 0, 1
Let s = -9 + 11. Let t(a) be the second derivative of 1/15*a**4 + 2/5*a**2 + 1/3*a**3 + 0 + s*a. Factor t(c).
2*(c + 2)*(2*c + 1)/5
Let r = -20 + 28. Suppose -r - 12 = -5*v. Find n such that 0*n - 1/4*n**2 - 1/2*n**3 - 1/4*n**v + 0 = 0.
-1, 0
Let s(d) be the second derivative of -d**4/48 + d**3/24 - 2*d. Find c, given that s(c) = 0.
0, 1
Factor -8*l**2 + 4*l**2 - l**2 + 7*l**2.
2*l**2
Let o(l) = 3 - 8*l**5 + 6*l - 2*l**2 + 0*l**5 + 6 - 3. Let a(t) = t**5 - t**4 - t**3 - t - 1. Let z(c) = -6*a(c) - o(c). Factor z(r).
2*r**2*(r + 1)**3
Let p(o) = -o**2 - 7*o + 3. Let z be p(-6). Let v = z + -7. What is u in 1/3*u + 0 + 1/3*u**v = 0?
-1, 0
Let x(y) be the first derivative of 0*y - 2/45*y**5 - 4/27*y**3 + 0*y**2 - 1/6*y**4 - 5. Factor x(s).
-2*s**2*(s + 1)*(s + 2)/9
Let g(p) be the second derivative of -p**7/70 + p**6/50 + 3*p**5/20 - p**4/4 - 2*p**3/5 + 6*p**2/5 + 56*p. Let g(y) = 0. Calculate y.
-2, -1, 1, 2
Let i(k) be the first derivative of -1/108*k**4 + 0*k + 1/270*k**5 + k**2 - 2 + 0*k**3. Let z(b) be the second derivative of i(b). Factor z(c).
2*c*(c - 1)/9
Solve -2/9 - 2/9*m**2 + 4/9*m = 0.
1
Let d = -6 - -14. Suppose -g - 2 = -5*r - 2*g, 0 = 3*r + 4*g - d. Factor 0 + 2/5*u**2 + r*u.
2*u**2/5
Let p(a) be the first derivative of -6*a**2 - 24*a + 6*a**3 + 4 + 3/5*a**5 + 15/4*a**4. Determine z, given that p(z) = 0.
-2, 1
Let q(l) be the first derivative of -2 + 1/9*l**3 + 1/3*l + 1/3*l**2. Factor q(d).
(d + 1)**2/3
Let d(n) = -n**4 - 2*n**2. Let i = -4 + 7. Let b(g) = -g**4. Let u(s) = i*b(s) - d(s). Suppose u(w) = 0. Calculate w.
-1, 0, 1
Let j(g) = 3*g**5 + g**4 - 2*g**3 - 2*g**2 + 7*g - 3. Let b(d) = -d**5 - d**4 + d**2 - d + 1. Let u = 0 + 12. Let i(p) = u*b(p) + 3*j(p). Factor i(n).
-3*(n - 1)*(n + 1)**4
Let v(w) = -5*w**3 + 23*w**2 - 32*w + 2. Let m(h) = -25*h**3 + 114*h**2 - 161*h + 11. Let s(t) = -2*m(t) + 11*v(t). Determine b, given that s(b) = 0.
0, 2, 3
Let b(k) = -k**2 + 11*k - 26. Let a be b(4). Factor 1/4*u**3 - 1/4*u**a - 1/4*u + 1/4.
(u - 1)**2*(u + 1)/4
Let y be (-23)/(-6) + 2/12. Factor 3*s - 2 + 0*s**3 - s**3 + 0*s**3 + y.
-(s - 2)*(s + 1)**2
Let z(o) be the third derivative of -o**5/15 + o**4/2 - 4*o**3/3 + 3*o**2. Factor z(b).
-4*(b - 2)*(b - 1)
Let h be (-104)/(-63) + (-36)/378. Determine l, given that -8/9 - 16/9*l + 14/3*l**2 - h*l**4 - 4/9*l**3 = 0.
-2, -2/7, 1
Let o(j) be the first derivative of -5*j**4/6 + 2*j**3/3 + 2*j**2/3 - 5. Factor o(h).
-2*h*(h - 1)*(5*h + 2)/3
Let w(n) = -n**3 + n + 1. Let j(v) = 7*v**3 + 7*v**2 - v - 4. Let f = 2 + 7. Suppose f = -5*a - 6. Let c(q) = a*w(q) - j(q). Factor c(u).
-(u + 1)**2*(4*u - 1)
Let v be 12*((-10)/(-4))/(-5). Let q be -3*((-20)/v)/(-5). Solve -3/2*p**4 - 3*p**3 - 3/2 + 3*p**q + 3/2*p**5 + 3/2*p = 0.
-1, 1
Let f(t) be the third derivative of -1/24*t**6 + 1/30*t**5 + 0*t + 3*t**2 + 2/105*t**7 - 1/336*t**8 + 0 + 0*t**3 + 0*t**4. Factor f(j).
-j**2*(j - 2)*(j - 1)**2
Suppose 5*n + i - 111 = 2*i, 2*n = -i + 43. Suppose -5*k + 1 - n = -4*h, -5*h = -3*k - 23. Determine o so that -o - 11/2*o**2 - 8*o**3 + 0 - 7/2*o**h = 0.
-1, -2/7, 0
Let b(w) be the third derivative of 8*w**7/315 + 7*w**6/45 + 19*w**5/60 + 19*w**4/72 + w**3/9 - 13*w**2. Solve b(u) = 0.
-2, -1, -1/4
Suppose 3 + 2 = -5*w + 5*m, 4*m = -w - 26. Let i be (-4)/(1*36)*w. Factor -i*o + 7/3*o**2 - 1/3 - 4/3*o**3.
-(o - 1)**2*(4*o + 1)/3
Let g(z) = 30*z**4 + 35*z**3 - 10*z**2 - 35*z - 15. Let u(r) = -r**5 + r**4 + r**3. Let h(s) = -g(s) + 5*u(s). Solve h(y) = 0.
-3, -1, 1
Let j(k) = -5*k**4 - 5*k**3 + 5*k**2 + 2*k + 3. Let d(u) = 6*u**4 + 6*u**3 - 6*u**2 - 2*u - 4. Let s(v