)*(a - 1)*(a + 1)**3
Let i(y) be the first derivative of 38 - y**4 + 16/3*y**3 - 16*y + 2*y**2. Factor i(n).
-4*(n - 4)*(n - 1)*(n + 1)
Suppose -2*i = b + 4, -3 = 5*b + 4*i - 1. Suppose b*z + 2*t - 10 = 0, -4*z + t + 20 = -0*t. Determine m, given that 4*m**4 - 36*m**z + 62*m**5 - 30*m**5 = 0.
0, 1
Let v(r) = 5*r**5 + 10*r**4 - 12*r**3 + 4*r**2 - 13*r. Let x(o) = -o**5 - o**4 + o**3 + 2*o. Let k(h) = v(h) + 6*x(h). Suppose k(n) = 0. Calculate n.
0, 1
Suppose -308*n = -310*n + 14. Let r(l) be the third derivative of -1/12*l**4 + 0 + 0*l + 0*l**3 - 7/60*l**6 + 7*l**2 + 1/6*l**5 + 1/35*l**n. Factor r(f).
2*f*(f - 1)**2*(3*f - 1)
Find d such that -236*d**4 + 716*d**5 + 1345 + 3112*d**3 + 11284*d - 712*d**5 + 10792*d**2 + 2499 = 0.
-1, 31
Let q(r) be the third derivative of r**5/270 + 2*r**4/27 - r**3/3 + 167*r**2. Factor q(x).
2*(x - 1)*(x + 9)/9
Factor -3/2*c + 0 - 7/6*c**3 + 1/6*c**4 + 5/2*c**2.
c*(c - 3)**2*(c - 1)/6
Suppose -4*f + 253 = -f + 2*p, -2*p = -4. Suppose -x - f = -6*x + c, 2*x + 2*c = 26. Factor -2*i + 2*i**2 - 2*i + x*i**3 - 14*i**3.
2*i*(i - 1)*(i + 2)
Suppose 0 - 1/8*i**3 - 35/8*i**2 + 9/2*i = 0. What is i?
-36, 0, 1
Suppose 0*l + 9 = 4*j - 3*l, -5*l = 5*j - 20. Factor -g**4 - 10*g**2 - 131*g**j - 4*g - g**4 + 123*g**3.
-2*g*(g + 1)**2*(g + 2)
Suppose 34*s = -12*s. Let z(d) be the third derivative of -8*d**2 - 5/48*d**4 - 1/120*d**5 - 1/6*d**3 + s + 1/120*d**6 + 0*d. Factor z(j).
(j - 2)*(j + 1)*(2*j + 1)/2
Let m be (176/66)/(4/6). Factor -m*v**4 + 41*v**2 - 107*v**2 - 72 - 212*v - 36*v**3 + 56*v - 50*v**2.
-4*(v + 1)*(v + 2)*(v + 3)**2
Let b(j) be the third derivative of j**7/21 - 19*j**6/48 + 18*j**2 + j. Find n, given that b(n) = 0.
0, 19/4
Let g(t) be the first derivative of t**5/160 - 3*t**4/32 + 9*t**3/16 - 5*t**2 + 11. Let l(h) be the second derivative of g(h). Find s such that l(s) = 0.
3
Let y(w) be the third derivative of -3*w**6/40 - w**5/20 + w**4/4 + 23*w**2. Suppose y(n) = 0. What is n?
-1, 0, 2/3
Let j(m) be the third derivative of m**8/2352 + 3*m**7/490 + m**6/210 - 3*m**5/35 - 4*m**4/21 - 418*m**2. Determine z so that j(z) = 0.
-8, -2, -1, 0, 2
What is o in 248*o + 19220 + 4/5*o**2 = 0?
-155
Let i(t) be the third derivative of -1/390*t**5 + 1/156*t**4 + 0*t**3 + 11*t**2 + 0 + 0*t. Solve i(u) = 0 for u.
0, 1
Let c(m) be the second derivative of -m**6/300 - 9*m**5/100 - 3*m**4/8 + m**3/15 + 3*m**2 + 543*m. Find g, given that c(g) = 0.
-15, -2, 1
Let i(t) = -2*t**3 + 4*t**3 - t - 8*t**2 - 2*t**3 - t**3 - 5. Let k be i(-8). Factor -k*p**3 + 10*p - 91*p - 35*p**2 + 8*p**2 - 81.
-3*(p + 3)**3
Let d be 2/8*(12 + -15 + 3). Determine o, given that d + 0*o - 2/3*o**2 = 0.
0
Let u(z) be the first derivative of 2*z**3/45 - 8*z**2/15 - 26*z/3 + 563. Solve u(i) = 0.
-5, 13
Suppose -5*y - z = 19, -3*y - 29 = -0*y + 5*z. Let g = 15 - y. Factor -g*x**4 - 6*x**2 - 36*x + 9*x**5 + 24 - 6*x**3 + 22*x**3 - 6*x**5 + 17*x**3.
3*(x - 2)**3*(x - 1)*(x + 1)
Factor -2/17*w - 2/17*w**3 + 8/17*w**2 - 12/17.
-2*(w - 3)*(w - 2)*(w + 1)/17
Suppose 5*c - 10 = -0. Let -j**2 - 4*j**3 - 2*j**4 + 59 - j**c - 59 = 0. Calculate j.
-1, 0
Let 270*i**3 - 117/4*i**4 + 3/4*i**5 + 0 + 300*i**2 + 0*i = 0. What is i?
-1, 0, 20
Let z(v) be the first derivative of v**6/18 - 2*v**5/5 + 5*v**4/12 - 408. Find k, given that z(k) = 0.
0, 1, 5
Let u(i) be the first derivative of 2*i**5/55 + 13*i**4/22 + 2*i**3/3 - 13*i**2/11 - 24*i/11 - 295. Let u(g) = 0. Calculate g.
-12, -1, 1
Factor -3/5*t**3 + 12/5 + 12/5*t - 3/5*t**2.
-3*(t - 2)*(t + 1)*(t + 2)/5
Let m(b) be the third derivative of b**7/2625 + b**6/375 - b**5/750 - b**4/75 + 33*b**2 - 2. Factor m(a).
2*a*(a - 1)*(a + 1)*(a + 4)/25
Solve 2/13*i**3 - 2/13*i - 2/13*i**4 + 0 + 2/13*i**2 = 0.
-1, 0, 1
Let r = 4196/3 - 1398. Let z(q) be the first derivative of -7 + 1/4*q**4 - 1/2*q**2 + r*q**3 - 2*q. Factor z(w).
(w - 1)*(w + 1)*(w + 2)
Let f be (-31)/(-10) + (-8)/(8/3). Let i(w) be the second derivative of 0*w**3 + 5*w - 1/60*w**4 + f*w**2 + 0. Find n, given that i(n) = 0.
-1, 1
Factor 3/4*x**5 - 15/4*x**3 + 0*x**2 + 3*x**4 + 0*x + 0.
3*x**3*(x - 1)*(x + 5)/4
Let x = 10472 - 10469. Determine o so that -o + o**2 - 1/3*o**x + 1/3 = 0.
1
Let n(u) be the third derivative of 0*u**5 - 5/42*u**7 + 1/4*u**6 + 5/336*u**8 + 2*u**2 + 0*u**4 + 0*u - 22 + 0*u**3. Suppose n(x) = 0. What is x?
0, 2, 3
Let a = 12 + -10. Find w such that 3*w + 16*w**3 - 7*w**4 - 11*w**a - 3*w + 3*w - w = 0.
0, 2/7, 1
Suppose 8*n - 10*n + 4 = 0. Let y = -21 - -29. Suppose y*x**3 + x**n - 4*x - 10*x**3 + 3*x**2 + 2*x = 0. Calculate x.
0, 1
Let z be 16/98*1*154/44. Determine r, given that 16/7*r**4 - 8/7*r**3 + 12/7*r**5 + 0 - 16/7*r**2 - z*r = 0.
-1, -1/3, 0, 1
Let s(f) be the first derivative of f**8/4480 - f**7/2240 + 4*f**3 + 38. Let y(v) be the third derivative of s(v). Solve y(h) = 0.
0, 1
Factor -34*c**2 - 40 + 28*c**4 - 242*c**2 - 54*c + 76*c**3 + 138*c + 128*c.
4*(c - 1)**2*(c + 5)*(7*c - 2)
Let g be (-23)/(-23)*4/20. Factor 1/5 + 2/5*p + g*p**2.
(p + 1)**2/5
Let x = 196 - 193. Let a(y) be the third derivative of -1/330*y**5 - 2*y**2 + 0 + 0*y + 1/33*y**x + 0*y**4. Factor a(v).
-2*(v - 1)*(v + 1)/11
Let h(g) be the third derivative of g**8/336 - g**7/42 + g**6/15 - g**5/15 - 2*g**2 + 3. Let h(u) = 0. What is u?
0, 1, 2
Suppose m + 3*z = -9, 9 = 5*m - 2*z + 3. Suppose m = 5*i - i - 8. Factor -i*c**2 - 4/7 - 18/7*c.
-2*(c + 1)*(7*c + 2)/7
Let k(j) be the third derivative of j**7/735 - 3*j**6/140 - j**5/210 + 3*j**4/28 + 86*j**2 - 2. Determine y so that k(y) = 0.
-1, 0, 1, 9
Suppose -3*h - 5 = 5*x, -7*x = 4*h - 6*x + 1. Determine a, given that h - 2/5*a**3 - 4/15*a**2 + 2/15*a**5 + 0*a**4 + 0*a = 0.
-1, 0, 2
Let q(s) be the first derivative of 1/8*s**2 - 1/6*s**3 + 1/2*s - 1/16*s**4 + 15. Factor q(r).
-(r - 1)*(r + 1)*(r + 2)/4
Let y(j) = 3*j - 6*j - 3*j - 1. Let z be y(-1). Find w, given that -9*w**5 - 9*w**z - 7*w**2 - 56*w**3 - 9*w**2 - 60*w**4 = 0.
-2, -2/3, 0
Let k(q) = -18*q + 273. Let r be k(15). Let w = 1/50 - -87/650. Solve -2/13*o**4 + 0 - 2/13*o**r + w*o + 2/13*o**2 = 0.
-1, 0, 1
Let r be (10/20)/(3/18). Suppose -3*n + 4*q = 8, r*n + 3*q - 6 = 2*n. Let 1/7*d + 2/7*d**2 + 0 - 1/7*d**5 - 2/7*d**4 + n*d**3 = 0. Calculate d.
-1, 0, 1
Let m(a) = 15*a**4 - 145*a**3 + 213*a**2 - 83*a + 3. Let h(n) = 105*n**4 - 1015*n**3 + 1490*n**2 - 580*n + 20. Let f(o) = -3*h(o) + 20*m(o). Factor f(z).
-5*z*(z - 8)*(z - 1)*(3*z - 2)
Let z = 136 - 133. Suppose z*r + 2*t - 20 = 0, t - 3 = 3*r - 11. Factor -4/3*o**3 + 0 + 2/3*o**r + 0*o + 2/3*o**2.
2*o**2*(o - 1)**2/3
Let h(d) = -35*d + 105. Let u be h(3). Let p(r) be the second derivative of u + 1/20*r**5 + 1/60*r**6 - 1/6*r**3 - 1/4*r**2 + r + 0*r**4. Factor p(g).
(g - 1)*(g + 1)**3/2
Let s(w) be the second derivative of -1/35*w**5 - 4/147*w**7 + 0*w**3 + 1/42*w**4 - 1/15*w**6 + 0 - 8*w + 0*w**2. Let s(k) = 0. What is k?
-1, 0, 1/4
Let l(u) be the first derivative of u**6/60 + 7*u**5/50 + 3*u**4/40 - 23*u**3/30 - 8*u**2/5 - 6*u/5 + 509. Determine s, given that l(s) = 0.
-6, -1, 2
Let a(d) be the first derivative of -d**6/1800 - d**5/100 - d**4/15 - 32*d**3/3 + 18. Let v(i) be the third derivative of a(i). Factor v(p).
-(p + 2)*(p + 4)/5
Factor -52*o + 1/2*o**2 + 1352.
(o - 52)**2/2
Let k = -6624 + 6626. Factor 25/3*a**k + 10/3*a - 5.
5*(a + 1)*(5*a - 3)/3
Let k(n) be the third derivative of 3/2*n**3 - 25*n**2 + 0 - 1/20*n**5 + 1/4*n**4 + 0*n. Factor k(r).
-3*(r - 3)*(r + 1)
Let g(t) be the second derivative of -1/2*t**3 + 0 + 0*t**4 + 3*t + 3/20*t**5 + 0*t**2. Factor g(a).
3*a*(a - 1)*(a + 1)
Let t(l) = 2*l**3 + l**2 + 4*l - 5. Let i(u) = 3*u**3 + 2*u**2 + 5*u - 6. Let k be 2 - (1 - (4 - 0)). Let v(d) = k*i(d) - 6*t(d). Factor v(w).
w*(w + 1)*(3*w + 1)
Factor -2*i**2 + 7 + 0*i**2 - 12*i - 21 + 4.
-2*(i + 1)*(i + 5)
Let r(v) be the first derivative of v**4/2 + 4*v**3/3 - 39*v**2 + 144*v - 380. Factor r(p).
2*(p - 3)**2*(p + 8)
Suppose -19 = -3*o - h, 4*h - 3*h + 21 = 2*o. Let b(q) be the first derivative of 3*q**2 - 21/5*q**5 + 7*q**3 + o - 3/2*q**4 + 0*q. Factor b(u).
-3*u*(u - 1)*(u + 1)*(7*u + 2)
Factor 64 + 255*s**2 - s**3 + 0*s**3 - 235*s**2 + 88*s - 3*s**3.
-4*(s - 8)*(s + 1)*(s + 2)
Let l be (-70)/(-25) + (50/50)/(5/(-4)). Factor 0 + 1/4*n**3 + n - n**l.
n*(n - 2)**2/4
Let r = 1261/5 + -2517/10. Fac