= 0 for b.
-2, 0
Let b(x) = x**2. Let n(w) = -10 + 3*w**3 - 2*w + 13 + 13*w**2 + 9*w + 2*w. Let u(o) = -4*b(o) + n(o). Factor u(q).
3*(q + 1)**3
Suppose 48*d + 15 = 53*d. Factor -1/4*t**4 - 1/4*t + 1/4*t**d + 1/4*t**2 + 0.
-t*(t - 1)**2*(t + 1)/4
Let q(b) = -b**3 - 6*b**2 + 4. Let s be q(-6). Suppose 2*w - 16 = 6*w, -s*o - 12 = 3*w. Determine u so that 2/5*u**2 + o + 0*u + 2/5*u**3 = 0.
-1, 0
Let t(r) be the first derivative of -r**4/6 + 2*r**3/3 - 8*r/3 - 3. Solve t(w) = 0 for w.
-1, 2
Suppose -2*y + 2*d + 27 = 3*y, 0 = 2*y - 2*d - 12. Let 0*x**5 + 0*x**y - 6*x**3 - 9*x**4 - 3*x**5 + 0*x**5 = 0. What is x?
-2, -1, 0
Suppose 3*n + 7 = 2*f, 5 = 4*f + 4*n + 1. What is b in 3/2*b - 3/2*b**4 - 3/2*b**3 + 3/2*b**f + 0 = 0?
-1, 0, 1
Let f be (-13)/4 + 1 + 3. Solve 1/4*c**4 - 1/4*c**3 - f*c**2 + 1/4*c + 1/2 = 0 for c.
-1, 1, 2
Let h(v) = -v**2 - 6*v. Let a be h(-7). Let l = -4 - a. Solve i**3 + 0*i**l - i + 0*i = 0 for i.
-1, 0, 1
Let q be 58/(-22) - (-3)/1. What is g in 0 + 0*g**2 + q*g**4 - 2/11*g + 6/11*g**3 = 0?
-1, 0, 1/2
Let b be (-2)/(-1 - (-6)/10). Suppose 12 = b*l - 3*l. Factor 2*h**2 - 5 - 4*h**2 + l - 5 + 6*h.
-2*(h - 2)*(h - 1)
Let u(m) be the first derivative of -m**4/24 - 3*m + 5. Let x(s) be the first derivative of u(s). Determine o, given that x(o) = 0.
0
Let y(c) be the third derivative of 0 - 3*c**2 + 0*c + 0*c**3 + 1/240*c**6 + 1/24*c**4 + 1/40*c**5. Factor y(s).
s*(s + 1)*(s + 2)/2
Let i(g) be the first derivative of g**8/560 - g**7/140 + g**5/20 - g**4/8 + 2*g**3/3 - 3. Let s(b) be the third derivative of i(b). Let s(d) = 0. Calculate d.
-1, 1
Suppose 21*i - 13*i - 13*i = 0. Factor -2/3*y**3 - 2/3*y**2 + 0*y + i.
-2*y**2*(y + 1)/3
Let t(d) be the third derivative of -d**6/45 - 11*d**5/90 + d**4/12 + 8*d**2. Factor t(u).
-2*u*(u + 3)*(4*u - 1)/3
Let c(y) be the first derivative of y**6/6 - 3*y**5 + 47*y**4/4 + 79*y**3/3 - 24*y**2 - 64*y + 28. Factor c(t).
(t - 8)**2*(t - 1)*(t + 1)**2
Let b(c) be the third derivative of -c**8/616 - 8*c**7/1155 - c**6/220 + c**5/165 + c**2. Suppose b(s) = 0. Calculate s.
-2, -1, 0, 1/3
Let d(c) be the first derivative of -c**4/78 - c**3/13 - 2*c**2/13 - c - 9. Let w(x) be the first derivative of d(x). Let w(b) = 0. What is b?
-2, -1
Let d(z) be the third derivative of 1/280*z**7 + 1/24*z**4 + 0*z - 9*z**2 + 1/20*z**5 + 0*z**3 + 0 + 11/480*z**6. Factor d(w).
w*(w + 1)*(w + 2)*(3*w + 2)/4
Factor -8*g**3 + 4/3*g**4 + 28/3*g**2 - 10/3*g + 0 + 2/3*g**5.
2*g*(g - 1)**3*(g + 5)/3
Let n(y) = -9*y**2 - 9*y. Let z(t) = 2*t**2 + 2*t. Let r(b) = 5*n(b) + 24*z(b). Factor r(x).
3*x*(x + 1)
Let q(x) be the third derivative of x**8/90720 + x**5/60 + 2*x**2. Let r(m) be the third derivative of q(m). Suppose r(l) = 0. What is l?
0
Let u be (288/2184)/(6/21). Factor -6/13*r**2 - u*r - 2/13 - 2/13*r**3.
-2*(r + 1)**3/13
Let z be -6*(0 - (0 - 1)). Let q be 1/(-5)*(z - -5). Factor -1/5 + q*p**2 - 2/5*p + 2/5*p**3.
(p - 1)*(p + 1)*(2*p + 1)/5
Let j(c) be the third derivative of c**7/210 - c**6/48 + c**5/30 - c**4/48 - 7*c**2. Factor j(z).
z*(z - 1)**2*(2*z - 1)/2
Factor 1/2*d - 1/2*d**3 + 0 - 1/2*d**2 + 1/2*d**4.
d*(d - 1)**2*(d + 1)/2
Let v(y) be the first derivative of -2*y**5/15 + 2*y**3/9 - 2. Suppose v(w) = 0. Calculate w.
-1, 0, 1
Let o(d) be the second derivative of 2*d**6/3 + d**5/4 - 5*d**4/3 - 5*d**3/6 - 20*d. Suppose o(b) = 0. What is b?
-1, -1/4, 0, 1
Let t(w) be the second derivative of w**9/15120 - w**7/1260 + w**5/120 + 2*w**4/3 + 6*w. Let s(h) be the third derivative of t(h). Factor s(c).
(c - 1)**2*(c + 1)**2
Let v(u) be the third derivative of u**8/6720 - u**6/720 + u**4/8 - 3*u**2. Let z(s) be the second derivative of v(s). Factor z(c).
c*(c - 1)*(c + 1)
Let q(c) be the third derivative of c**8/1344 + c**7/840 - c**6/480 - c**5/240 + 8*c**2. Factor q(r).
r**2*(r - 1)*(r + 1)**2/4
Let b(t) = -t**3 - 7*t**2 - 5*t + 4. Let a be b(-6). Let i(r) = -2*r - 2. Let p be i(a). Solve -2 + p - 1 + 3*g**2 - 2*g**3 = 0 for g.
-1/2, 1
What is x in 6*x - 9 + x**2 + 4*x**2 - 2*x**2 = 0?
-3, 1
Let r(n) = 20*n**2 - 14*n - 20. Let i(b) = 7*b**2 - 5*b - 7. Let t be ((-8)/3 - -1)*-3. Let m(u) = t*r(u) - 14*i(u). Factor m(z).
2*(z - 1)*(z + 1)
Let c = 82 + -130. Let y = -143/3 - c. Determine l so that y*l**5 + 1/3*l**4 - 1/3*l**3 + 0*l - 1/3*l**2 + 0 = 0.
-1, 0, 1
Let d(n) = 9*n**4 - 15*n**3 - 7*n**2 + 13*n - 4. Let c(r) = r**4 + r**3 + r**2 + r. Let q(a) = c(a) + d(a). What is f in q(f) = 0?
-1, 2/5, 1
Factor 33*l**4 - 37*l**4 + 5*l + 3*l + 4*l**2 + 8*l**2.
-4*l*(l - 2)*(l + 1)**2
Let b(s) be the second derivative of 1/12*s**4 + 1/40*s**5 + 0*s**2 + 1/12*s**3 + 0 - 2*s. Factor b(t).
t*(t + 1)**2/2
Let l(o) be the second derivative of o**5/160 + o**4/48 + 9*o. Find v such that l(v) = 0.
-2, 0
Let j be -4 + -3 + 73/10. Let m(a) be the second derivative of 0 + 3*a + 1/42*a**7 + j*a**5 + 0*a**2 - 2/15*a**6 + 1/6*a**3 - 1/3*a**4. Factor m(v).
v*(v - 1)**4
Let j(p) be the third derivative of 3*p**6/10 + 4*p**5/5 + p**4/6 - 4*p**3/3 + 8*p**2. Solve j(u) = 0 for u.
-1, -2/3, 1/3
Let p = 14 + -12. Suppose -4*l**2 + 4*l**4 + 2*l - 2*l**3 + p*l - 2*l = 0. Calculate l.
-1, 0, 1/2, 1
Suppose g**4 + 3/5*g**5 - 1/5*g**2 + 0 + 1/5*g**3 + 0*g = 0. What is g?
-1, 0, 1/3
Suppose 17 = 4*f + 5. Factor 2 - 1 - 2*h**2 + f - 2.
-2*(h - 1)*(h + 1)
Let n(j) be the third derivative of j**7/490 + 3*j**6/140 + 9*j**5/140 - 10*j**2. Find g, given that n(g) = 0.
-3, 0
Let z(a) = -2*a**3 - 2*a**2 + 12*a - 10. Let p(d) = d**3 - d**2 - 1. Let r(t) = 2*p(t) - z(t). Let r(i) = 0. Calculate i.
-2, 1
Let z(b) = -11*b**2 - 31*b - 30. Let n(r) = 6*r**2 + 15*r + 15. Let x(a) = 5*n(a) + 3*z(a). Let x(l) = 0. What is l?
-5, -1
Let h = -51 - -55. Let m(r) be the third derivative of 0 + 0*r - 3*r**2 + 1/36*r**h + 1/180*r**5 + 1/18*r**3. Factor m(l).
(l + 1)**2/3
Let h(o) = o**4 - o**2 - o - 1. Let a(y) = 5*y**4 + 2*y**3 - 5*y**2 - 8*y - 6. Let l(v) = 5*a(v) - 30*h(v). Solve l(m) = 0 for m.
-1, 0, 1, 2
Factor -4/3*d + 0*d**2 + 0 + 4/3*d**3.
4*d*(d - 1)*(d + 1)/3
Let a(n) = n**3 - 12*n**2 + 2*n + 99. Let i be a(11). Factor i + 1/2*x - 1/4*x**3 + 1/4*x**2.
-x*(x - 2)*(x + 1)/4
Let l = 7 + -5. Determine y, given that 0*y**2 - y**l - 2*y + 5 - 5 = 0.
-2, 0
Let j(k) be the first derivative of -k**6/180 + k**3 - 4. Let d(l) be the third derivative of j(l). Factor d(q).
-2*q**2
Let s(p) be the second derivative of 1/4*p**2 + 1/6*p**3 + 1/24*p**4 + 0 - 2*p. Factor s(j).
(j + 1)**2/2
Factor -8/9*f + 2/3*f**2 + 2/9.
2*(f - 1)*(3*f - 1)/9
Let k(r) = 12*r**4 - 8*r**3 - 24*r**2 + 12. Let i(d) = -8*d**4 + 5*d**3 + 16*d**2 - 8. Let c(x) = 8*i(x) + 5*k(x). Factor c(w).
-4*(w - 1)**2*(w + 1)**2
Suppose 0 = -5*s + 3*z - 3, -2*z + 3 = -4*s + z. Let x be (-2 - -2)*(1 - 0). Let -2/5*i**3 + x + s*i - 2/5*i**2 = 0. What is i?
-1, 0
Suppose v + 2 = 4. Determine r, given that -4*r**4 + 4*r**2 - 22*r**4 - 2*r + 22*r**3 + v*r**4 = 0.
-1/3, 0, 1/4, 1
Let j be (-106)/(-42) + 20/60. Factor 2/7 - 2/7*f**5 + j*f**2 - 10/7*f - 20/7*f**3 + 10/7*f**4.
-2*(f - 1)**5/7
Let i(j) = -4*j**3 + 3*j**2 - 10*j - 3. Let k(d) = 3*d - d**2 - 3*d**3 + 0 + 3*d**3 + d**3 + 1. Let g(r) = -2*i(r) - 7*k(r). Factor g(l).
(l - 1)*(l + 1)**2
Suppose 6*t - 4*t = 3*q + 7, -2*q = 2. Let r = t - 0. Factor 0*d + 0 + 8/11*d**r + 2/11*d**4 - 8/11*d**3.
2*d**2*(d - 2)**2/11
Suppose -2*s + 2 - 5 = -p, -s = -2*p + 6. Determine h, given that 1/4*h**4 + s*h + 0 + 1/4*h**5 + 0*h**2 - 1/2*h**3 = 0.
-2, 0, 1
Solve 5/2*r**3 + 33/2*r - 14*r**2 + 9 = 0 for r.
-2/5, 3
Let n(c) = -c**2 + c + 1. Let w(q) = 4*q**3 - 7*q**2 + 7*q - 9. Let y(v) = -5*n(v) - w(v). Factor y(u).
-4*(u - 1)**3
Suppose -r - 1 = -2*o, -r - 3*r + 4*o + 8 = 0. Factor 8*s**2 + 2 + 5*s**5 - 2*s**4 - 4*s**5 - 2*s**r - s**3 + 7*s + 3*s**3.
-(s - 2)*(s + 1)**4
Suppose f + 4*f + 30 = 0. Let b = -3 - f. What is a in -4/5*a**2 + 0 + 2/5*a - 6/5*a**b = 0?
-1, 0, 1/3
Let b(u) = -u**3 - 8*u**2 - u - 7. Let p be b(-8). Suppose 4*d - 23 = 5*s, p = -4*d - s + 6. Factor d*h - 2*h**2 - 1 + 2 + 3*h**2.
(h + 1)**2
Let u(a) be the second derivative of 0 + 3/40*a**5 - 2*a + 1/8*a**3 - 3/56*a**7 + 3/8*a**2 + 1/8*a**6 - 3/8*a**4. Let u(t) = 0. What is t?
-1, -1/3, 1
Let x(p) be the second derivative of p**7/168 - p**6/180 - p**3/2 + 3*p. Let t(l) be the second derivative of x(l). Factor t(