Factor f(g).
-2*g**2*(g + 2)
Suppose 22*r = -3*r + 100. Suppose 0*f + 0 + 1/3*f**r + 1/3*f**5 - 1/3*f**2 - 1/3*f**3 = 0. Calculate f.
-1, 0, 1
Let o(b) be the first derivative of -9*b**3 - 9*b**2 - 3*b - 61. Factor o(p).
-3*(3*p + 1)**2
Let w(l) be the third derivative of -2*l**2 + 1/120*l**6 + 1/3*l**3 + 0 - 3/40*l**5 + 0*l + 1/4*l**4. Let n(x) be the first derivative of w(x). Solve n(d) = 0.
1, 2
Let p(h) be the second derivative of -1/5*h**6 + 1/14*h**7 + 0 + 2*h**4 - 3*h - 9/20*h**5 - 2*h**3 + 0*h**2. Find t such that p(t) = 0.
-2, 0, 1, 2
Let m(z) be the first derivative of -z**4/10 - 2*z**3/3 + 8*z**2/5 + 96*z/5 - 175. Determine g so that m(g) = 0.
-4, 3
Let g(b) be the first derivative of -27*b**6/2 - 18*b**5/5 + 65*b**4 + 200*b**3/3 + 254. Solve g(i) = 0.
-10/9, 0, 2
Let k(t) = -t + 4. Let g be k(4). Factor -14*z**2 + g*z + 12*z**2 - 6*z - 2*z.
-2*z*(z + 4)
Solve -9/4*u**5 + 0*u + 0 - 3/2*u**2 + 15/4*u**3 + 3*u**4 = 0 for u.
-1, 0, 1/3, 2
Let d be 0/1*(396/48 - 8). Let w(s) be the third derivative of 1/12*s**4 - 5*s**2 - 2/3*s**3 - 1/240*s**5 + d*s + 0. Find x, given that w(x) = 0.
4
Let b(f) be the second derivative of -5/2*f**3 + 25/6*f**4 + 0*f**2 - 7/4*f**5 - 49*f + 0. Determine d, given that b(d) = 0.
0, 3/7, 1
Let b(y) be the third derivative of 2*y**7/175 - 71*y**6/200 + 183*y**5/50 - 68*y**4/5 - 16*y**3 + 1017*y**2. Determine n, given that b(n) = 0.
-1/4, 4, 10
Let x(o) = -10*o**2 - 100*o + 240. Let a(q) = 5*q**2 + 50*q - 120. Let s(n) = -5*a(n) - 2*x(n). Solve s(k) = 0.
-12, 2
Let i = -6 + -2. Let d = i - -11. Determine m so that -81*m**4 + 10*m**d + 4 + 77*m**2 - 36*m + 28*m**3 - 2*m**3 = 0.
-1, 2/9, 1
Suppose -2*l - 4*t = 5 + 19, -3*l + 34 = -4*t. Factor -4/7*c - 2/7*c**3 + c**l - 1/7*c**4 + 0.
-c*(c - 1)**2*(c + 4)/7
Let g(r) be the third derivative of 2/3*r**4 + 0 + 1/5*r**5 - 2/105*r**7 - 8/3*r**3 - 31*r**2 - 1/15*r**6 + 0*r. Factor g(s).
-4*(s - 1)**2*(s + 2)**2
Factor 4*f**2 - 31*f - 3*f + 18*f.
4*f*(f - 4)
Let -44*z**2 + 25 + 31 + 4*z**3 - 28*z + 4*z**4 - 8*z + 16 = 0. What is z?
-3, -2, 1, 3
Let c be (-1)/((875/14)/(-25)). Suppose 6 = w + 4. Factor 2/5*k**w + 0*k - c.
2*(k - 1)*(k + 1)/5
Let c(b) be the second derivative of -b**4/12 - 2*b**3/3 - 2*b**2 + 121*b. Let c(a) = 0. What is a?
-2
Factor -r**3 - 25/3*r - 2 - 22/3*r**2.
-(r + 1)*(r + 6)*(3*r + 1)/3
Factor -80/3*w**3 - 5/3*w**4 + 0 - 320/3*w**2 + 0*w.
-5*w**2*(w + 8)**2/3
Suppose 3*m - 2 = -2*l + 33, 4*m - 16 = 5*l. Factor -6*w + 3*w - 12*w**2 - 3*w**4 - 18*w**3 + 0*w - 3*w**5 - m*w**4.
-3*w*(w + 1)**4
Let u(v) = -v**4 - 18*v**3 + 3*v**2 + 48*v + 34. Let t(p) = -2*p**4 - 19*p**3 + 6*p**2 + 49*p + 35. Let l(m) = 4*t(m) - 6*u(m). Find q such that l(q) = 0.
-1, 2, 16
Let q = -1 + 4. Suppose 0*h - 3 = -q*h. Factor 1 - 4 - 2*k**3 + h + 3*k + k**3.
-(k - 1)**2*(k + 2)
Let v(p) = p**2 + 15*p + 18. Let z be v(-14). Let k(f) be the second derivative of 1/90*f**5 + 0 - 6*f + 0*f**2 - 1/54*f**z + 0*f**3. Let k(n) = 0. Calculate n.
0, 1
Suppose -3 + 8 = -5*h. Let q(d) = 6*d**2 - 60*d + 303. Let n(b) = -b**2 - 1. Let c(y) = h*q(y) - 3*n(y). Suppose c(l) = 0. What is l?
10
Let i(m) be the third derivative of -m**8/448 - 3*m**7/560 + m**6/64 + m**5/32 - 3*m**4/64 - m**3/8 - 2*m**2 - 30. Solve i(b) = 0 for b.
-2, -1, -1/2, 1
Let v = 701/2 + -350. Solve 1/2*w**4 + 0 - 1/2*w**2 + 1/2*w**3 - v*w**5 + 0*w = 0 for w.
-1, 0, 1
Suppose 10*q - 2*q = 0. Let x(d) be the first derivative of 0*d + q*d**3 + 0*d**2 - 1/8*d**4 + 2. Determine v, given that x(v) = 0.
0
Let t be (-2 + 2)*47/94. Let k be 3 - (1/1 - 1). Let -2/3*y**4 - 2/3 + 4/3*y**2 + 0*y**k + t*y = 0. What is y?
-1, 1
Let k(v) = -5*v**4 + 52*v**3 + 366*v**2 + 752*v + 512. Let b(i) = 4*i**4 - 52*i**3 - 364*i**2 - 752*i - 512. Let s(g) = -3*b(g) - 2*k(g). Factor s(n).
-2*(n - 32)*(n + 2)**3
Let k(i) be the first derivative of 8*i**5/25 + 39*i**4/10 + 164*i**3/15 + 33*i**2/5 - 28*i/5 - 507. Solve k(m) = 0.
-7, -2, -1, 1/4
Suppose -3*q - 21 = -n - 68, -4*n + 50 = 5*q. Let c be (0 + 18/(-8))/(-17 + q). Let -c*h**2 + 0*h + 0 + 1/2*h**3 + 1/4*h**4 = 0. Calculate h.
-3, 0, 1
Let t(o) = -o**4 - 14*o**3 - 15*o**2 + 22*o - 4. Let k(v) = v**4 + 2*v**3 - v + 1. Let x(n) = 4*k(n) + t(n). Factor x(u).
3*u*(u - 3)*(u - 1)*(u + 2)
Let t(a) = 11*a**2 - 48*a - 10. Let p(v) = 16*v**2 - 72*v - 14. Let n(z) = 5*p(z) - 7*t(z). Find m, given that n(m) = 0.
0, 8
Let i be -4*(-1)/(-10) - 90/25. Let z be 1/9*i*18/(-24). What is b in -z*b**2 - b - 2/3 = 0?
-2, -1
Factor -138*v - 132 + 594 + 3*v**2 + 722 + 403.
3*(v - 23)**2
Let h(p) be the second derivative of p**4/66 - 4*p**3/11 + p**2 - 62*p - 2. What is r in h(r) = 0?
1, 11
Let o be (1 - 0)*((-182)/70 + 3). Factor o*s**2 + 22/5 + 24/5*s.
2*(s + 1)*(s + 11)/5
Let h = 1153/20 - 229/4. Suppose 0*n = 6*n. Solve 0*b**3 + 0 - 4/5*b**4 + 0*b**2 + h*b**5 + n*b = 0 for b.
0, 2
Let z(i) = -i**2 + i - 5. Let d(k) = -8*k**2 - 799*k - 53893. Let r(y) = -d(y) + 5*z(y). Factor r(g).
3*(g + 134)**2
Let i(q) = -q**3 + 7*q**2 - 6*q + 1. Let g be i(6). Suppose -g - 9 = -5*b. Factor -s**5 + 0*s**5 - s**3 + 0*s**4 - b*s**4.
-s**3*(s + 1)**2
Suppose -8*a + a + 35 = 0. Suppose 11 = -2*t + 3*j, -3*t - a*j = 3 - 34. Factor -2 + 0*x + 1/2*x**t.
(x - 2)*(x + 2)/2
Let x be 2 + (-238)/(-35) + -8. Factor x - 2/5*i**2 + 2/5*i.
-2*(i - 2)*(i + 1)/5
Let -2/7*x**2 - 44/7*x + 96/7 = 0. What is x?
-24, 2
Let l = -16 + 16. Suppose l*g - 5 = 3*r + g, -5*r - 5*g = 25. Suppose -2/5*b**3 + r + 4/5*b - 2/5*b**2 = 0. Calculate b.
-2, 0, 1
Let x be ((-19)/57)/(2/6). Let d be (-7 - x)/(21/(-14)). Determine u so that -1 + 6*u**2 + 1 - d - 2*u**2 = 0.
-1, 1
Let g(b) = -3*b**3 + 12*b**2 + 9*b + 3. Let o(l) = -4*l**3 + 11*l**2 + 5*l + 2. Let h(i) = 2*g(i) - 3*o(i). Factor h(f).
3*f*(f - 1)*(2*f - 1)
Let p(w) = -w**5 + 6*w**4 - 4*w**3 - 4*w**2 + 3*w. Let j(z) = 2*z**5 - 12*z**4 + 8*z**3 + 7*z**2 - 5*z. Let k(o) = -2*j(o) - 5*p(o). Solve k(d) = 0 for d.
-1, 0, 1, 5
Let l be (-3)/(-6) - (-5)/(-14). Let u = -20467/7 + 2924. Find c, given that -1/7*c**2 + 3/7*c**3 - l*c**5 - 2/7*c + u*c**4 + 0 = 0.
-1, 0, 1, 2
Let a(f) = 2*f**3 - 13*f**2 + 20*f - 15. Let i(k) = k**3 - k**2 - k - 1. Let v(t) = -a(t) + 3*i(t). Let v(x) = 0. What is x?
-12, 1
Let y = 10799/3 - 3599. Determine x, given that 0 + 1/3*x**3 - y*x**2 + 1/3*x = 0.
0, 1
Let x(y) be the third derivative of -y**7/1365 + 5*y**6/78 - 757*y**5/390 + 275*y**4/13 - 1452*y**3/13 - y**2 - 49*y. Factor x(l).
-2*(l - 22)**2*(l - 3)**2/13
Let g(i) be the third derivative of 0*i + 1/56*i**6 + 0 - 13/28*i**4 - 8*i**2 - 4/7*i**3 - 13/140*i**5. Determine t, given that g(t) = 0.
-1, -2/5, 4
Suppose -38 + 3*i**3 - 88*i + 2*i**3 + 2 - 60 - 16*i**2 - 3*i**3 = 0. Calculate i.
-2, 12
Factor -2*c**5 + 18358*c**3 - 4*c**5 + 81*c**2 + 27*c**4 + 2*c**5 - 18439*c**3 + c**5.
-3*c**2*(c - 3)**3
Suppose -376/11*x - 310/11*x**3 - 64/11 - 672/11*x**2 + 50/11*x**4 = 0. What is x?
-1, -2/5, 8
Let a(f) be the second derivative of f**6/165 - f**5/10 + 16*f**4/33 - 28*f**3/33 + 52*f. Factor a(c).
2*c*(c - 7)*(c - 2)**2/11
Let -9/4*d**3 - 1/2*d - 1/4*d**5 + 0 + 5/4*d**4 + 7/4*d**2 = 0. Calculate d.
0, 1, 2
Let l(u) = -2*u**2 + 20*u - 15. Let f(x) = -5*x**2 - 4*x. Let p(g) = g**2 + g. Let o(j) = -f(j) - 4*p(j). Let i(t) = l(t) - 3*o(t). Factor i(b).
-5*(b - 3)*(b - 1)
Suppose -6*y + 10*y = 4*w + 16, 0 = 4*w. Suppose z - d - y = -0, 2*d = 3*z - 11. Suppose 0 + 2/13*x**5 + 0*x**2 + 0*x**4 + 0*x - 2/13*x**z = 0. What is x?
-1, 0, 1
Let q(g) be the third derivative of -7*g**5/150 - 5*g**4/3 - 28*g**3/15 - 111*g**2. Find j such that q(j) = 0.
-14, -2/7
Let y(q) be the first derivative of -q**6/72 + q**5/8 - 5*q**4/12 - q**3 + 1. Let a(u) be the third derivative of y(u). Find c, given that a(c) = 0.
1, 2
Factor -98*s**3 + 152 + 2*s**4 + 262*s - 2089 + 1146*s**2 + 49*s - 563 + 1139*s.
2*(s - 25)**2*(s - 1)*(s + 2)
Suppose y + 470 = -v + 475, 4*v = -5*y + 23. Let c(u) be the first derivative of 1/15*u**6 - 3*u**2 + 8/5*u + 8/3*u**y - u**4 - 11 + 0*u**5. Factor c(p).
2*(p - 1)**4*(p + 4)/5
Let a(t) be the third derivative of 1/40*t**6 - 1/224*t**8 - 5*t**2 + 0*t**4 + 0*t**5 + 0*t + 0 + 0*t**3 - 1/140*t**7. Factor a(f).
-3*f**3*(f - 1)*(f + 2)/2
Suppose 5*d = -13*d - d. Suppose 6 = 4*t - m - 2, d = -5*m + 20. Factor 0*y + 1/3*y**5 + 1/3*y**2 +