+ 4*b**2 + 0*b**3.
2*b*(b - 1)**3*(b + 1)
Suppose 3*q - 8 = 2*c, -q + 11 = 2*c + 3. Factor 0*g**2 + 4 + g**c + 0*g**2 + 4*g.
(g + 2)**2
Let r(h) be the second derivative of -h**6/240 - h**5/20 - 3*h**4/16 + h**3/2 + 8*h. Let t(m) be the second derivative of r(m). Factor t(f).
-3*(f + 1)*(f + 3)/2
Let f(o) be the third derivative of -64/33*o**3 + 9/220*o**6 + 0 + 0*o + 12/11*o**4 - 18/55*o**5 + 9*o**2. Suppose f(q) = 0. What is q?
4/3
Let n(p) = 5*p**2 - 4*p + 2. Let s(f) = -f**2 + 4*f - 4. Let x(z) = z**2 - 1. Let g(r) = s(r) - 3*x(r). Let l(q) = 6*g(q) + 5*n(q). Solve l(k) = 0.
-2
Suppose -6*i + 3*i = -9. Factor 0 + 1/4*h**i + 0*h**2 - 1/2*h**4 + 1/4*h**5 + 0*h.
h**3*(h - 1)**2/4
Let r = 13 + -9. Let k = -10 - -13. Suppose -10/11*c**r - 2/11*c**5 - 4/11*c + 0 - 14/11*c**2 - 18/11*c**k = 0. What is c?
-2, -1, 0
Let j(o) = -3*o**3 + 2*o**2 + 3*o. Let v(k) = -6*k**3 + 4*k**2 + 6*k + 1. Let u(g) = -15*j(g) + 6*v(g). Find p, given that u(p) = 0.
-1, 2/3, 1
Let s(d) = -d**3 - 5*d**2 - d - 3. Let b be s(-5). Factor -2*j**2 - 5*j + 2*j**2 - 18 - b*j**2 - 7*j.
-2*(j + 3)**2
Let h(m) = -15*m**4 + 25*m**3 - 5*m. Let d(x) = -14*x**4 + 25*x**3 + x**2 - 6*x. Let q(i) = 5*d(i) - 6*h(i). Factor q(u).
5*u**2*(u - 1)*(4*u - 1)
Let c(a) be the first derivative of 9*a**5/5 + 15*a**4/2 + 12*a**3 + 9*a**2 + 3*a + 20. Factor c(u).
3*(u + 1)**3*(3*u + 1)
Let r(l) = l**2 - 2*l - 2. Let x be r(-2). Let f(t) be the second derivative of 2/25*t**5 + 3*t - 1/5*t**2 - 1/5*t**4 + 4/15*t**3 - 1/75*t**x + 0. Factor f(g).
-2*(g - 1)**4/5
Let g(u) be the third derivative of 0*u**5 - 1/240*u**6 + 0*u + 1/672*u**8 + 0 - 2*u**2 + 0*u**4 + 0*u**7 + 0*u**3. Factor g(i).
i**3*(i - 1)*(i + 1)/2
Let s(x) = -3*x**3 - x - 1. Let i be s(-1). Find j, given that 9*j - 1 - 13*j**2 - j**i - 3 + 7*j**3 + 3*j - j**4 = 0.
1, 2
Let i be (12/(-14))/((-16)/42). Factor 0*j - i*j**2 + 1/4.
-(3*j - 1)*(3*j + 1)/4
Let j(o) = 4*o**4 - 10*o**3 + o**2 - 3*o - 2. Let k(v) = -6*v**4 + 15*v**3 - 2*v**2 + 4*v + 3. Let g(r) = 7*j(r) + 5*k(r). Determine a, given that g(a) = 0.
-1/2, 1
Suppose 0 = -0*a - a. Let i(v) be the second derivative of -v + 1/66*v**4 - 1/110*v**5 - 1/165*v**6 + a + 1/33*v**3 + 0*v**2. Suppose i(c) = 0. What is c?
-1, 0, 1
Let g be (-7 + 4 - -2) + (-1 - -2). Factor 0 + g*m + 3/4*m**2.
3*m**2/4
Suppose -x + 4*n = 1 - 4, -4*n = 0. Let r(o) be the first derivative of -1 - 2/3*o - 2/9*o**x - 2/3*o**2. What is v in r(v) = 0?
-1
Let i(l) be the second derivative of -l**4/78 - l**3/39 + 2*l**2/13 + 16*l. Factor i(z).
-2*(z - 1)*(z + 2)/13
Factor 2 + 4 + 2*p**3 - 6*p - 2.
2*(p - 1)**2*(p + 2)
Let u = 4 - 2. Factor -k**4 + 5*k**2 + 0*k**4 - 3*k**3 - 3*k**u + 4*k**3.
-k**2*(k - 2)*(k + 1)
Let s be 0 + (-4)/120*-5. Let b(o) be the first derivative of -1/24*o**6 - 1/8*o**2 - 1/4*o + 2 - 1/20*o**5 + 1/8*o**4 + s*o**3. What is y in b(y) = 0?
-1, 1
Suppose 3*s + 11 = -h - 15, -4*s = -4*h - 40. Let p = -12 - h. Find d such that -1/4*d**3 + 0*d + 0 - 1/4*d**p = 0.
-1, 0
Let x(s) be the second derivative of -2*s**7/21 + 2*s**6/3 - 9*s**5/5 + 7*s**4/3 - 4*s**3/3 - 23*s. What is t in x(t) = 0?
0, 1, 2
Let j(k) be the third derivative of 1/15*k**4 - 4/15*k**3 - 1/150*k**5 + k**2 + 0 + 0*k. Factor j(a).
-2*(a - 2)**2/5
Let g be 1/(-7)*5 + 1. Suppose -g*b**2 - 2/7 - 4/7*b = 0. Calculate b.
-1
Let v = 269/390 - 3/130. Find u such that 0 + 1/3*u**2 + v*u = 0.
-2, 0
Let u(p) be the second derivative of -p**3/6 + p**2/2 + 2*p. Let q be u(-2). Factor 8*h - q*h - 2 + 4*h**2 + 3.
(h + 1)*(4*h + 1)
Suppose 4/7*c**3 + 12/7*c + 26/7*c**2 + 0 = 0. What is c?
-6, -1/2, 0
Let r = 5/14 - 1/14. Factor r*f**4 + 0 + 0*f**2 + 0*f**3 + 0*f.
2*f**4/7
Suppose 7*j - 6 = 8. Let y(r) be the third derivative of -1/480*r**6 - 1/96*r**4 + 0 - r**j + 1/120*r**5 + 0*r + 0*r**3. Solve y(a) = 0 for a.
0, 1
Let d(w) = -12*w**3 - 12*w**2 + 2*w + 12. Let t be 140/(-15) + (-4)/6. Let m(z) = -z**3 - z**2 + 1. Let q(u) = t*m(u) + d(u). Factor q(a).
-2*(a - 1)*(a + 1)**2
Let x = -82 - -85. Let f(h) be the second derivative of 0 + x*h - 1/18*h**4 + 0*h**3 + 1/3*h**2. Determine p, given that f(p) = 0.
-1, 1
Let f(k) be the second derivative of k**4/54 + 5*k**3/27 + 4*k**2/9 - 2*k. Factor f(m).
2*(m + 1)*(m + 4)/9
Factor 0 - 4/5*a**2 + 2/5*a**3 + 2/5*a.
2*a*(a - 1)**2/5
Let z(t) = t**2 + 3*t. Let k be z(-4). Let w be (-2)/(-3) + (-20)/(-15). Factor -2*h**k - h**3 + 8*h**3 - 6*h**w - h + 2 + 0.
-(h - 2)*(h - 1)**2*(2*h + 1)
Let q(d) be the second derivative of d**4/9 - 7*d**3/9 + d**2 - 3*d. Solve q(w) = 0.
1/2, 3
Find b such that -1/5*b**2 + 2/5*b - 2/5*b**3 + 1/5 = 0.
-1, -1/2, 1
Let v(l) be the first derivative of 3*l**5/5 + 5*l**4/3 + 4*l**3/3 + 6*l - 7. Let j(p) be the first derivative of v(p). Factor j(g).
4*g*(g + 1)*(3*g + 2)
Let i(q) be the second derivative of 2*q**6/3 + 42*q**5/5 + 27*q**4 + 112*q**3/3 + 24*q**2 + 32*q. Factor i(p).
4*(p + 1)**2*(p + 6)*(5*p + 2)
Let v(t) = -6*t**5 - t**4 + 12*t**3 + 5*t**2 + 5*t. Let h(m) = -9*m**5 - m**4 + 18*m**3 + 8*m**2 + 8*m. Let u = 3 - 11. Let q(y) = u*v(y) + 5*h(y). Factor q(p).
3*p**3*(p - 1)*(p + 2)
Let n(d) be the second derivative of d**6/120 - 3*d**5/40 + 13*d**4/48 - d**3/2 + d**2/2 - 6*d. Factor n(u).
(u - 2)**2*(u - 1)**2/4
Suppose 3*g = -g + 8. Suppose -g*b + 3*b = 0. Suppose 5*h + 9*h**5 - 2*h**2 - 2 - 14*h**3 + b + 1 + 3*h**4 = 0. Calculate h.
-1, 1/3, 1
Suppose 0 = -7*j + 5*j. Suppose j*p - 5*p = 0. Find n such that -1/2*n**5 - 1/2*n + 0*n**4 + 0*n**2 + p + n**3 = 0.
-1, 0, 1
Let f(w) be the second derivative of 3*w**5/100 + w**4/5 - w**3/10 - 6*w**2/5 + 5*w - 3. Factor f(b).
3*(b - 1)*(b + 1)*(b + 4)/5
Let d(k) be the second derivative of -k**7/210 + k**6/120 + k**5/30 + 3*k**2 - 6*k. Let r(a) be the first derivative of d(a). Determine w so that r(w) = 0.
-1, 0, 2
Let k(b) be the third derivative of -b**5/40 + b**3/4 - b**2. Solve k(h) = 0 for h.
-1, 1
Let m = 8 - 5. Factor -v**5 + 14*v**4 - 2*v**5 - 2*v**4 - 12*v**m.
-3*v**3*(v - 2)**2
Suppose 1 = -s + 3. Let o(m) be the second derivative of -1/30*m**4 + m - 4/5*m**s - 4/15*m**3 + 0. Solve o(w) = 0 for w.
-2
Suppose b + 5*j + 49 = 2*b, b = j + 45. Suppose 188 + b = 4*y. Factor 14*o**2 - 23*o**4 - 4 - 30*o - y*o**3 - 80*o**2 + 5*o**4.
-2*(o + 1)**3*(9*o + 2)
Let w(h) be the first derivative of -h**3 - 6*h**2 - 24. Solve w(l) = 0.
-4, 0
Let z = -9 - -16. Suppose 1 = 4*c - z. Determine j, given that -2*j**4 - 2*j**c + j**2 - 4*j**4 - 2*j**3 + 5*j**2 = 0.
-1, 0, 2/3
Let z(x) be the first derivative of x**4/42 - x**3/21 - 6*x + 5. Let s(p) be the first derivative of z(p). Find k such that s(k) = 0.
0, 1
Let h(a) be the first derivative of -a**6/3 + 2*a**5/5 + a**4 - 4*a**3/3 - a**2 + 2*a + 6. Find l, given that h(l) = 0.
-1, 1
Let u(c) be the second derivative of c**6/20 - 3*c**5/40 + 2*c. Factor u(d).
3*d**3*(d - 1)/2
Let b(v) be the first derivative of v**4/12 - 5*v**3/9 + 7*v**2/6 - v + 12. Find y such that b(y) = 0.
1, 3
Suppose -24 = -3*p - p. Factor 2*m**2 - 4 + p - 2.
2*m**2
Suppose -7*g**2 + 2*g**2 - 6 + 15*g - 5*g**2 - 3*g**3 + g**2 + 3*g**4 = 0. Calculate g.
-2, 1
Let p(l) = 4*l**4 + 4*l**3 + 19*l**2 + 5*l. Let m(y) = -y**4 - y**3 - 6*y**2 - 2*y. Let j(c) = -7*m(c) - 2*p(c). Factor j(b).
-b*(b - 2)*(b + 1)*(b + 2)
Suppose 3*c = a - 1, 0 = 2*c - 4*a - 0*a + 4. Factor -2/7*m - 4/7*m**4 + 2/7*m**5 + 4/7*m**2 + c + 0*m**3.
2*m*(m - 1)**3*(m + 1)/7
Let f(v) = -v**3 + v**2. Let n(j) = 5*j**3 - 2*j**2 - j - 2. Let b(c) = 4*f(c) + n(c). Factor b(w).
(w - 1)*(w + 1)*(w + 2)
Factor -22/15*c - 24/5*c**2 + 128/15*c**4 - 32/15*c**3 - 2/15.
2*(c - 1)*(4*c + 1)**3/15
Let n be -3 + 100/36 + 2/9. Determine f so that 1/2*f**2 + f**3 + 1/2*f**4 + 0*f + n = 0.
-1, 0
Let o be (3/(-2))/((-6)/8). Factor 0*c - c - 5*c**o + 4*c**2.
-c*(c + 1)
Let i = 487/970 + -1/485. Suppose 1/2*p**5 - i*p**3 + 0 + 0*p**2 + 0*p + 0*p**4 = 0. What is p?
-1, 0, 1
Suppose 2*o - 20 = 2*d - 6*d, 0 = 3*o + 5*d - 26. Let y(w) be the second derivative of 0 + 0*w**o + 1/12*w**3 - 1/12*w**4 + w. Solve y(s) = 0.
0, 1/2
Let h = -442/3 - -148. Factor 0 + g**3 + 0*g + h*g**2 - 5/3*g**4.
-g**2*(g - 1)*(5*g + 2)/3
Let j = 1153/5 + -14979/65. Factor 0 - j*p + 4/13*p**2.
2*p*(2*p - 1)/13
Let n(j) be the third derivative of j**7/105 + j**6/15 + 18*j**2. Factor n(u).
2*u**3*(u + 4)
Let