 b**10/105840 + b**9/52920 - b**8/23520 - b**7/8820 + b**4/12 + 2*b. Let q(i) be the third derivative of f(i). Factor q(t).
2*t**2*(t - 1)*(t + 1)**2/7
Let k(q) be the second derivative of q**5/4 + 5*q**4/3 + 10*q**3/3 - 6*q. Factor k(w).
5*w*(w + 2)**2
Let n = 6 + -4. Suppose -2*z = 8, -4 - 4 = -n*a + z. Solve 7*i**a + 4 + 7*i + i**2 + 2*i**3 + 3*i = 0 for i.
-2, -1
Let k(v) = -8*v**3 + 3*v**2 + 2*v - 2. Let r(n) = n**3 - n**2 - n. Let d(a) = -2*k(a) - 14*r(a). Solve d(s) = 0 for s.
-2, -1
Let d(k) = -32*k**2 + 13*k. Let p(b) = 31*b**2 - 14*b. Let c(g) = 4*d(g) + 3*p(g). Factor c(s).
-5*s*(7*s - 2)
Let t(k) be the first derivative of 5*k**6/2 - 21*k**5/5 - 6*k**4 + 4*k**3 + 3. Determine r, given that t(r) = 0.
-1, 0, 2/5, 2
Let w be 10/25 + 92/(-5). Let n(v) = 4*v**2 + 9*v - 9. Let d(t) = t**2 + 2*t - 2. Let x(r) = w*d(r) + 4*n(r). Find p, given that x(p) = 0.
0
Let s(x) be the third derivative of -x**8/112 - x**7/70 + 3*x**6/40 + x**5/4 + x**4/4 - 5*x**2. Let s(g) = 0. Calculate g.
-1, 0, 2
Suppose 4*y - 12 + 0 = 0. Factor 3*q**2 - y*q**3 + 4*q**3 - 3*q**3 + 5*q**3.
3*q**2*(q + 1)
Let k = 14 + -12. Let z(m) be the first derivative of 2 + k*m**2 - 2/3*m**3 - 2*m. Factor z(p).
-2*(p - 1)**2
Let l(f) be the second derivative of -f**6/240 - f**5/80 + f**3/24 + f**2/16 + 2*f. Solve l(k) = 0 for k.
-1, 1
Suppose t = 3*s - 1, 2*s + 3*t - 7*t + 16 = 0. Let 16/3*o + 0 + 4/3*o**3 - 16/3*o**s = 0. What is o?
0, 2
Let c(h) = -12*h**3 + 36*h**2 - 14*h - 10. Let g(j) = -4*j**3 + 12*j**2 - 5*j - 3. Let t(r) = -3*c(r) + 10*g(r). Factor t(x).
-4*x*(x - 2)*(x - 1)
Let x(d) = -d**2 - 2*d + 4. Let b(w) = -w**2 - 3*w + 5. Let a(q) = 4*b(q) - 5*x(q). What is j in a(j) = 0?
0, 2
Suppose 0 = -3*s + 2*s + 5. Suppose -2 = d - s. Determine a so that -2*a**2 - d + 2*a**3 - 2*a + 4 + 3 - 2 = 0.
-1, 1
Determine o so that -12 - 3/4*o**2 - 6*o = 0.
-4
Factor 2/9*y**3 - 8/9 + 2/3*y**2 + 0*y.
2*(y - 1)*(y + 2)**2/9
Suppose -8*b = 16*b - 120. Suppose 0 + 1/3*d**4 - 1/3*d**b + 1/3*d**3 + 0*d - 1/3*d**2 = 0. Calculate d.
-1, 0, 1
Suppose -15 = -a - 2*a. Suppose p = 3, -6*p + 2*p + 2 = -a*z. What is m in -4/5*m**3 + 4/5*m**z - 2/5*m**5 + 6/5*m - 6/5*m**4 + 2/5 = 0?
-1, 1
Factor 4 + 8/3*d - 4/3*d**2.
-4*(d - 3)*(d + 1)/3
Let h(b) be the third derivative of b**6/360 + b**5/180 - 2*b**2. Factor h(w).
w**2*(w + 1)/3
Let a(m) be the second derivative of m**4/54 - 2*m**3/3 + 9*m**2 - 5*m. Suppose a(u) = 0. What is u?
9
Let u(w) be the second derivative of w**8/840 - w**7/210 + w**6/180 + 2*w**3/3 - w. Let k(q) be the second derivative of u(q). Factor k(h).
2*h**2*(h - 1)**2
Let x be 60/154 + (-5)/((-220)/8). Factor -24/7*a**2 - x + 18/7*a + 10/7*a**3.
2*(a - 1)**2*(5*a - 2)/7
Solve -11*d**2 + 0*d**5 - 36*d**5 - 96*d**4 + 3*d**2 - 52*d**3 + 16*d**4 = 0.
-1, -2/9, 0
Let n = 422 - 418. Factor 2/7*a**3 + 0*a + 2/7*a**2 - 2/7*a**5 - 2/7*a**n + 0.
-2*a**2*(a - 1)*(a + 1)**2/7
Let p(i) be the third derivative of i**5/270 + i**4/54 + i**3/27 - 6*i**2. Let p(a) = 0. Calculate a.
-1
Find v such that 0 - 1/2*v**3 - 1/2*v - v**2 = 0.
-1, 0
Suppose 0*s - 8 = 4*s. Let l be 4/4*(-6)/s. Find i, given that -i + 29/4*i**l + 21/4*i**4 + 0 + i**2 = 0.
-1, -2/3, 0, 2/7
Let m be (-76)/(-5) + 3/(-15). Let h be 39/m - -2 - 4. Find c, given that 1/5*c**5 + 3/5*c**4 - 2/5*c**2 + 2/5*c**3 - 1/5 - h*c = 0.
-1, 1
Let m(a) = a**4 - 8*a**3 - 6. Let c(f) = 2*f**4 - 15*f**3 - 11. Let t(g) = 6*c(g) - 11*m(g). Factor t(b).
b**3*(b - 2)
Let z be (-2)/9 + (-87)/(-27). Find k, given that 9*k**z + 4*k**4 + 3*k + k + 6*k**2 - 3*k = 0.
-1, -1/4, 0
Let j(m) = -2*m. Let l be j(-1). Factor -3 - 9*k**4 - 3*k**3 + 102*k**2 + 6*k**5 - 90*k**l - 3*k**3.
3*(k - 1)**3*(k + 1)*(2*k + 1)
Determine m, given that 3*m**2 - 2 - 18*m**3 - m**4 + 19*m**3 + m - 2*m = 0.
-1, 1, 2
Let i(j) be the first derivative of 2*j**4 + 9*j**5 - 49/3*j**3 - 1 - 4*j**2 + 4*j. What is l in i(l) = 0?
-1, -2/5, 2/9, 1
Suppose z - 5*z = -60. Let l = z + -13. Suppose -2/5*j + 1/5*j**l + 1/5 = 0. What is j?
1
Let v = 2981/13 + -229. Determine b so that -8/13*b**2 + 2/13*b - 6/13*b**3 + v = 0.
-1, 2/3
Let l(c) be the second derivative of -7*c**6/150 + c**5/50 + 7*c**4/60 - c**3/15 - 3*c. Factor l(a).
-a*(a - 1)*(a + 1)*(7*a - 2)/5
Let g(z) = -2*z - 15. Let u be g(-10). Suppose 6*t - 2*t = -u*r - 6, r - 18 = 4*t. Factor 0*s**r + 2*s - 6*s - s**2 - 4.
-(s + 2)**2
Let p(u) be the first derivative of -u**3/6 - u**2/2 - 8. Determine c, given that p(c) = 0.
-2, 0
Let j(m) = 2*m**2 - 7*m - 5. Let d = -7 - -3. Let p(c) = -2*c**2 + 6*c + 4. Let x(u) = d*j(u) - 5*p(u). Find q, given that x(q) = 0.
0, 1
Let r(a) = -3 + 1 - 15*a**2 + 2. Let c(h) = 3*h**2. Let p(m) = -24*c(m) - 5*r(m). Suppose p(n) = 0. What is n?
0
Suppose 1 - 17 = -4*d. Suppose 3*k - 12 = d*v - 0*k, -3*k = 2*v - 12. Let 6*l - 3*l**2 + 0 + 16*l**3 + 3*l**4 - 22*l**3 + v = 0. Calculate l.
-1, 0, 1, 2
Suppose -2*k + 15 - 5 = 3*l, l - 8 = -3*k. Determine p so that l*p**2 + 8*p**4 - 9*p**3 + 4*p**4 - 3*p**2 - 3*p**5 - 11*p**2 + 12*p = 0.
-1, 0, 1, 2
Let z(n) = n**2 + 8*n - 3. Let f be z(-9). Suppose -f = -0*x - 3*x. Find l such that 16/3*l + 0 + 28/3*l**3 + x*l**4 + 40/3*l**2 = 0.
-2, -2/3, 0
Let s(p) = 2*p**2 + 7*p + 6. Let r be s(-4). Let z = 72/7 - r. Factor 2/7*i**3 - z + 2/7*i**2 - 2/7*i.
2*(i - 1)*(i + 1)**2/7
Determine s, given that -3*s**2 - 2*s**5 + s**3 + s**5 + 3*s**4 - 3*s**3 + 3*s**3 = 0.
-1, 0, 1, 3
Let v(g) be the third derivative of -3*g**6/140 - 19*g**5/210 - g**4/42 - 2*g**2 + 10. Find n such that v(n) = 0.
-2, -1/9, 0
Let i(b) be the first derivative of b**7/63 - b**6/15 + b**5/15 + b**4/9 - b**3/3 + b**2/3 + 3*b - 3. Let s(f) be the first derivative of i(f). Solve s(o) = 0.
-1, 1
Let t(l) be the first derivative of l**3/6 + 7. Factor t(d).
d**2/2
Let b(d) be the second derivative of 1/720*d**6 + 0*d**4 + 0*d**5 + 0*d**2 + 0 + 2*d - 1/3*d**3. Let w(s) be the second derivative of b(s). Factor w(g).
g**2/2
Let g(j) = 20*j**2 - 12*j - 14. Let i(q) = -q**2 + q + 1. Let h(b) = -2*g(b) - 36*i(b). Factor h(s).
-4*(s + 1)*(s + 2)
Let c be (0 + -1 - -1) + 5. Let a(f) be the second derivative of 0 + 1/10*f**c - f**2 + 1/6*f**4 + 2*f - 1/3*f**3. Suppose a(w) = 0. What is w?
-1, 1
What is u in 18/5*u + 0 + 14/5*u**3 - 6*u**2 - 2/5*u**4 = 0?
0, 1, 3
Let d be (-4 - 52/(-16))*6/(-9). Let m(f) be the first derivative of 1/5*f**3 + 2/5*f - 3 - d*f**2 + 1/20*f**4 - 1/25*f**5. Factor m(o).
-(o - 1)**3*(o + 2)/5
Let x(j) = -4 + 4 + j + 0*j + 1. Let w(b) = -2*b**4 + 2*b**2 - 5*b - 5. Let t = 3 + -4. Let c(m) = t*w(m) - 5*x(m). Factor c(g).
2*g**2*(g - 1)*(g + 1)
Let b(c) be the third derivative of 7*c**6/24 + 5*c**5/12 - 5*c**4/12 + 13*c**2. Determine m, given that b(m) = 0.
-1, 0, 2/7
Let w = -355 - -1782/5. What is u in -16/5*u**3 - 8/5*u**2 + w*u - 1/5 = 0?
-1, 1/4
Let p = 7 - 4. Factor 3*a**4 + 15*a - 5*a**3 - 6 - 9*a**2 + 2*a**3 + 0*a**p.
3*(a - 1)**3*(a + 2)
Let g(s) be the third derivative of s**7/1365 + s**6/780 - s**5/390 - s**4/156 - 22*s**2. Let g(d) = 0. Calculate d.
-1, 0, 1
Let h(k) be the first derivative of 2*k**3/3 + 3. Let o be h(-1). Let 3*i**2 + 5 - i**o + 3 + 4*i - 12*i = 0. What is i?
2
Let d(q) be the third derivative of -q**6/180 + q**5/60 - 10*q**2. Factor d(s).
-s**2*(2*s - 3)/3
Suppose 0*h = -3*h - 5*b - 431, -2*h - 4*b - 284 = 0. Let f be -3 + -1 + h/(-36). Factor -2/3*n**2 - 8/9*n - f.
-2*(n + 1)*(3*n + 1)/9
Let r be -6*((-66)/(-9) + -4). Let x be 15/8*(-8)/r. Factor 9/4*z**3 - 3/2 + 3/4*z**4 - 9/4*z + x*z**2.
3*(z - 1)*(z + 1)**2*(z + 2)/4
Let t(h) = -8*h**2 - 4*h - 11. Let k(b) = -7*b**2 - 5*b - 10. Suppose 25 = 5*z, -4*o + 5*z - 21 = -3*o. Let i(g) = o*t(g) - 5*k(g). Factor i(x).
3*(x + 1)*(x + 2)
Let r(l) be the second derivative of l**4/72 + l**3/18 + l**2/12 - 6*l. Factor r(n).
(n + 1)**2/6
Let d be 1 + -4 + 1 + 4. Determine z so that -64*z**d + 30*z**2 + 26*z**2 - 4*z**3 = 0.
-2, 0
Factor 0*g + 0*g**2 + 3/7*g**4 + 0 - 3/7*g**3.
3*g**3*(g - 1)/7
Let p(b) = 7*b**3 + 29*b**2 + 61*b. Let m(k) = -8*k**3 - 28*k**2 - 60*k. Let j(a) = 3*m(a) + 4*p(a). Determine l, given that j(l) = 0.
-4, 0
Let w be (-1 - (-9)/6)*(8 - 2). Let f(z) be the first derivative of 2*z**2 + 0*z - 2*z**w + 1/2*z**4 - 2. Factor f(b).
2*b*(b - 2)*(b - 1)
Let w be 2/(-12) + 18/81. Let g(n) be the second derivat