 Factor d(i).
(i - 1)*(i + 1)**2/4
Let h(b) = -9*b**3 - 18*b**2 - 11*b. Let q(l) = 46*l**3 + 91*l**2 + 55*l - 1. Let u(i) = 22*h(i) + 4*q(i). Factor u(g).
-2*(g + 1)**2*(7*g + 2)
Let 1/5 + 1/5*g**3 - 1/5*g - 1/5*g**2 = 0. What is g?
-1, 1
Let y(h) = -h**3 - 2*h**2 - 2*h. Let i be y(-2). Factor -2*b**2 + 3*b + i*b**2 + 3*b - 4*b.
2*b*(b + 1)
Let t be (-3)/(-1) - 0/(-9). Let y(l) be the third derivative of l**2 + 1/36*l**4 - 1/180*l**5 - 1/18*l**t + 0 + 0*l. Factor y(f).
-(f - 1)**2/3
Let p(o) = -o**3 - 11*o**2 - 12*o - 14. Let y be p(-10). Suppose -4*a + a + y = 0. Factor -33*x + 5 + 52*x**2 - 12*x**3 - a + 2*x**2 + 3 - 24*x**4.
-3*(x + 2)*(2*x - 1)**3
Let z be ((-6)/(-63))/(4/(-6)). Let r = 3/28 - z. Factor 0*k**2 - r*k**4 + 0 + 1/4*k**5 + 0*k + 0*k**3.
k**4*(k - 1)/4
Let c(l) be the first derivative of l**7/525 + l**6/100 + l**5/75 + 5*l**2/2 + 4. Let j(n) be the second derivative of c(n). Solve j(f) = 0.
-2, -1, 0
Let z = 3 - 0. Factor 0*u**4 + 0*u**z + 2*u**4 - 2*u**3.
2*u**3*(u - 1)
Let d(p) be the first derivative of p**7/7 - 4*p**6/15 + p**5/10 - 3*p - 5. Let k(v) be the first derivative of d(v). Factor k(s).
2*s**3*(s - 1)*(3*s - 1)
Let z(w) = 11*w**3 - 31*w**2 - 39*w + 19. Let q(a) = -10*a**3 + 30*a**2 + 40*a - 20. Let p(g) = -4*q(g) - 5*z(g). Factor p(u).
-5*(u - 3)*(u + 1)*(3*u - 1)
Let t = 29 + -29. Let y(z) be the first derivative of t*z**2 - 3 + 0*z - 1/6*z**3. Factor y(a).
-a**2/2
Let l be (-3 + 6/2)*-1. Let f(s) be the third derivative of 0 + l*s + 0*s**3 - 1/240*s**5 - 3*s**2 - 1/96*s**4. Factor f(p).
-p*(p + 1)/4
Let m(i) be the first derivative of -i**5 - 5*i**4 - 20*i**3/3 + 11. Determine a, given that m(a) = 0.
-2, 0
Let t = 23 + -23. Let n(r) be the second derivative of 1/3*r**3 + t*r**4 + 3*r + 0*r**2 + 0 - 3/10*r**5 - 2/15*r**6. Factor n(q).
-2*q*(q + 1)**2*(2*q - 1)
Let a(y) be the second derivative of -y**4/24 - y**3/3 + y. Solve a(z) = 0 for z.
-4, 0
Factor 0*w**3 + 0 + 2/9*w**4 + 4/9*w - 2/3*w**2.
2*w*(w - 1)**2*(w + 2)/9
Let c(y) = -y**3 + 7*y**2 - 5*y + 2. Suppose -9 = -2*j + 3. Let o be c(j). Suppose 8/5 + 42/5*d**2 - 10*d**4 - 8*d**3 + o*d = 0. Calculate d.
-1, -2/5, 1
Let k(h) = h**3 + h + 3. Let z be k(0). Let x = -1 + z. Factor -l**3 - 2*l**2 + x*l**3 - 3*l**3.
-2*l**2*(l + 1)
Let q(u) be the third derivative of u**5/240 - u**4/24 - 5*u**3/24 + 3*u**2 - 2. Find x, given that q(x) = 0.
-1, 5
Determine g, given that -3*g**2 + 0*g - 3/2*g**3 + 0 + 3*g**4 + 3/2*g**5 = 0.
-2, -1, 0, 1
Let l(j) be the third derivative of -1/100*j**5 + 5*j**2 + 0 + 0*j - 1/120*j**4 + 1/1050*j**7 + 1/15*j**3 + 1/600*j**6. Factor l(s).
(s - 1)**2*(s + 1)*(s + 2)/5
Let v be (16/(-10))/(2/(-5)). Factor 12/5*w**3 + 0 + 8/5*w**5 + 0*w + 2/5*w**2 + 18/5*w**v.
2*w**2*(w + 1)**2*(4*w + 1)/5
Let s(q) be the third derivative of -q**8/20160 + q**7/2016 - q**6/480 - 2*q**5/15 - 8*q**2. Let l(r) be the third derivative of s(r). Factor l(o).
-(o - 1)*(2*o - 3)/2
Let z(u) = u**3 + 7*u**2 + 4*u - 6. Let b be z(-6). Suppose -b*r + 5*r = -4. Factor 0*v**2 + 4/9*v**3 - 2*v**r + 0 + 0*v + 14/9*v**5.
2*v**3*(v - 1)*(7*v - 2)/9
Let t be (0 - -6) + -2 - (-14)/10. Factor -t - 3/5*p**2 + 18/5*p.
-3*(p - 3)**2/5
Let b = 12 - 9. Find f such that -3*f**2 + 2*f**b + 4*f**3 - 3*f**3 - 6*f**3 + 6*f = 0.
-2, 0, 1
Let p(t) be the second derivative of t**7/2940 + t**6/1260 - t**3/3 - 3*t. Let b(x) be the second derivative of p(x). Factor b(q).
2*q**2*(q + 1)/7
Let c(k) be the first derivative of 0*k - 1/3*k**3 - 3/4*k**4 + k**2 - 4. Determine y so that c(y) = 0.
-1, 0, 2/3
Let q(s) be the first derivative of 0*s + 3*s**5 + 27/4*s**4 + 3*s**2 + 7*s**3 + 1 + 1/2*s**6. Factor q(w).
3*w*(w + 1)**3*(w + 2)
Suppose -5*k = 5*x - 4*k - 14, -3*k - 18 = -5*x. Find t, given that -3/5*t + 3/5*t**x + 0 + 0*t**2 = 0.
-1, 0, 1
Let w(i) be the third derivative of i**6/220 - i**5/330 - i**4/66 + 11*i**2. Determine a, given that w(a) = 0.
-2/3, 0, 1
Let f(i) = 1 + 1 + 4*i - 4. Let z be f(1). Factor -2*j**3 + 0*j - 2/3*j**z - 2*j**4 - 2/3*j**5 + 0.
-2*j**2*(j + 1)**3/3
Let z(v) = 13*v**3 + 42*v**2 + 41*v - 89. Let c(b) = 7*b**3 + 21*b**2 + 20*b - 44. Let h(p) = -7*c(p) + 4*z(p). What is k in h(k) = 0?
-4, 1
Let f(t) be the first derivative of -2*t**5/25 - 3*t**4/10 - 2*t**3/15 + 3*t**2/5 + 4*t/5 - 22. Suppose f(w) = 0. What is w?
-2, -1, 1
Let s be 23/(-9)*(-3)/2. Let p = 13/3 - s. Factor 3/2*r**2 - 1/2*r**3 + p - 3/2*r.
-(r - 1)**3/2
Let f = -1375/9 - -153. Let 0 + 2/9*j**2 - f*j = 0. What is j?
0, 1
Let s(i) be the third derivative of 0 - 1/60*i**5 + 1/12*i**4 - 6*i**2 + 0*i**3 + 0*i. Factor s(k).
-k*(k - 2)
Factor 0 + 3/4*w - 3/8*w**2.
-3*w*(w - 2)/8
Let y = 2 + 1. Factor -2*w**2 - 2*w**2 + 8*w**2 + 2*w**y + 8*w + 4*w**2.
2*w*(w + 2)**2
Let y = 45 - 43. Find q, given that 4/7*q - 2/7*q**y + 0 = 0.
0, 2
Let x = 197/5 + -39. Let 0*k**2 - 4/5*k**4 + 6/5*k**3 - x*k + 0 = 0. What is k?
-1/2, 0, 1
Solve 15/7*n**2 - 27/7 - 3/7*n**3 - 9/7*n = 0.
-1, 3
Let r be 4/((2/(-7))/(-1)). Let d be (-3)/(-21) - 2/r. Solve -2*b**2 + d*b - 2/7*b**3 + 2/7*b**5 + 8/7 + 6/7*b**4 = 0 for b.
-2, -1, 1
Suppose -5 - 5 = 3*w - 4*h, 8 = -2*w + 3*h. Suppose -w*k = -j - 7, -2*k - 4*j - 2 = -2*j. What is s in -s**3 - k*s**4 - s**3 - 2*s**3 = 0?
-2, 0
Suppose 4*w + 2*q - 14 = -q, -5*w = -5*q. Factor -3*a**w + 4*a**3 + 0 + 2/3*a - 5/3*a**4.
-a*(a - 1)**2*(5*a - 2)/3
Suppose 4*j - 12 = -2*y, -17 = -5*j - 41*y + 39*y. Factor 0 + 0*r + 9/7*r**3 + 0*r**4 - 6/7*r**2 - 3/7*r**j.
-3*r**2*(r - 1)**2*(r + 2)/7
Let l(h) be the third derivative of -1/70*h**5 + 0*h - 3*h**2 - 1/21*h**3 + 0 + 1/420*h**6 + 1/28*h**4. Determine f so that l(f) = 0.
1
Let g(w) be the second derivative of -w**5/10 + 4*w**4/3 - 13*w**3/3 + 6*w**2 + w. Factor g(o).
-2*(o - 6)*(o - 1)**2
Let h(c) be the third derivative of 0*c**4 + 0*c**3 + 0*c**5 + 4*c**2 + 0*c + 0 + 3/40*c**6 - 1/70*c**7. Determine q so that h(q) = 0.
0, 3
Let b be (-9)/(-10) - (-1)/(-2). Let x be (-9)/(-24) - (-98)/80. Find s such that b + x*s + 12/5*s**2 + 2/5*s**4 + 8/5*s**3 = 0.
-1
Let h(k) be the first derivative of k**4/2 + 2*k**3 + 3*k**2 + 2*k + 1. Determine f so that h(f) = 0.
-1
Let s(a) be the second derivative of -a**5/80 - a**4/16 - a**3/12 + 13*a. Suppose s(j) = 0. What is j?
-2, -1, 0
Suppose 35*d**3 - 15/2*d**4 - 10/3 - 305/6*d**2 + 70/3*d = 0. Calculate d.
1/3, 2
Let i(r) = r**3 - 6*r**2 - 10*r + 37. Let v be i(7). Factor 92/5*q**2 - v*q - 28/5*q**3 + 16/5.
-4*(q - 2)*(q - 1)*(7*q - 2)/5
Suppose -118*r**5 - 12*r**3 + 12*r**4 + 115*r**5 + 3*r**4 = 0. What is r?
0, 1, 4
Let y(j) be the first derivative of 1/18*j**6 - 3 + 0*j**2 - 1/15*j**5 + 0*j + 0*j**4 + 0*j**3. Factor y(u).
u**4*(u - 1)/3
Let r(n) be the first derivative of 3*n**5/5 - 4*n**3 - 42. Let r(w) = 0. Calculate w.
-2, 0, 2
Let y(l) be the third derivative of -l**5/300 + l**4/30 - 2*l**3/15 + 7*l**2. Factor y(s).
-(s - 2)**2/5
Let c(f) = -f**3 - 15*f**2 + 20. Let v be c(-15). Let s be 20/6*15/v. Find n, given that -1/2 - 3*n + s*n**4 - 2*n**2 + 3*n**3 = 0.
-1, -1/5, 1
Let j be 589 + 3 - (3 - 0). Let l be (-57 + -1 + 0)/(-1). Find y, given that l*y + 30*y - 322*y**2 - 197*y**3 + j*y**3 - 8 = 0.
1/4, 2/7
Let i(f) = f + 1. Let a be i(8). Let n(s) = -s**3 + 9*s**2 + s - 7. Let k be n(a). Factor 1/2 - 1/2*l**k - 1/2*l**3 + 1/2*l.
-(l - 1)*(l + 1)**2/2
Let h = -16 - -10. Let j(l) = 0 - 6*l**2 + 4 + 10*l**3 - 12*l - 6*l**3. Let p(d) = -d**3 + d - 1. Let m(q) = h*p(q) - j(q). Factor m(i).
2*(i + 1)**3
Let q(z) be the first derivative of -7*z**4/32 + 3*z**3/8 - z**2/8 + 10. Find o, given that q(o) = 0.
0, 2/7, 1
Suppose 12*j**3 - j**4 + 5*j**4 + 22*j**2 - 26*j**2 + 12*j**2 = 0. What is j?
-2, -1, 0
Let l(f) be the second derivative of -f**8/15120 - f**7/3780 - f**6/3240 + f**4/12 - 2*f. Let k(p) be the third derivative of l(p). Factor k(z).
-2*z*(z + 1)*(2*z + 1)/9
Suppose -8*u - 106 = -6*u. Let d = u - -213/4. Find c, given that -1/2 + 3/4*c - d*c**2 = 0.
1, 2
Let h = 132/7 + -646/35. Factor 0 + h*w + 1/5*w**2.
w*(w + 2)/5
Suppose 2*f + 3*f = 15. Suppose 0 = z - f, 0 = -3*j + 6*z - 2*z - 6. Solve u**5 + 0*u**2 + 3*u**3 - 2*u**2 - 3*u**4 + u**j = 0.
0, 1
Suppose -p + 15 = 12. Let b(f) be the first derivative of 9/2*f**p - 3*f + 3/2*f**5 + 2 - 39/8*f**4 + 3/4*f**2. Factor b(m).
3*(m - 1)**3*(5*m + 2)/2
Factor -2 + 