*3 - i - 1. Let y(w) = w**4 - w - 1. Let x(c) = f*y(c) - g(c). Factor x(q).
-2*q**3*(q - 1)**2
Let p be 4 - (3 + (-3 - -5) + -4). Factor -2406*t + t**4 + 2406*t + p*t**3 + 2*t**2.
t**2*(t + 1)*(t + 2)
Find w such that w**3 - 33 - 99*w - 12 - 140*w + 13*w**2 + 270*w = 0.
-9, -5, 1
Let c be 154/5 + 14/70. Let o be (0 - -4) + (c - -2). Factor -8*y + 16*y**3 + 16 - 8*y - 4*y**4 + 25*y**2 - o*y**2.
-4*(y - 2)**2*(y - 1)*(y + 1)
Let n(v) be the first derivative of 3*v**2 - 1/3*v**3 + 16 - 9*v. Suppose n(d) = 0. What is d?
3
Let r(u) be the third derivative of -u**7/210 + u**6/8 - 47*u**5/60 + 11*u**4/8 + 2*u**2 + 149. Factor r(z).
-z*(z - 11)*(z - 3)*(z - 1)
Let k = 2810 - 14043/5. What is d in 0 - 3/5*d + 1/5*d**4 + k*d**2 - d**3 = 0?
0, 1, 3
Let v be (-60)/(-100) + (-1)/((-15)/(-6)). Factor v*y**2 + 0 + 2/5*y.
y*(y + 2)/5
Let p = -5705/12 - -1903/4. Let p*r**3 + 0*r + 0*r**2 + 0 = 0. Calculate r.
0
Let j = 1/156 - 2111/780. Let b = 31/5 + j. Solve 5/2*k**2 + 3/2 + b*k + 1/2*k**3 = 0 for k.
-3, -1
Let 8/3*w**5 + 128*w + 358/3*w**3 + 64/3 + 30*w**4 + 596/3*w**2 = 0. What is w?
-4, -2, -1, -1/4
Let a(d) be the first derivative of -d**4 - 20*d**3 - 126*d**2 - 196*d + 345. Let a(y) = 0. Calculate y.
-7, -1
Let w(i) = 35*i**4 - 35*i**2 + 20. Let u(s) = 5*s**4 - 5*s**2 + 3. Suppose 3*h - 80 = -h. Let f(m) = h*u(m) - 3*w(m). Factor f(b).
-5*b**2*(b - 1)*(b + 1)
Let q = -25 + 30. Suppose -6 - 19 = 5*j, -5*y = q*j + 15. Factor 0 + 1/2*p**y - 1/3*p + 10/3*p**3.
p*(4*p - 1)*(5*p + 2)/6
Find w such that -w**2 + 6*w - 3/2*w**3 + 1/2*w**4 - 4 = 0.
-2, 1, 2
Factor 0*d + 0*d**2 - 1/2*d**4 + 0 - d**3.
-d**3*(d + 2)/2
Find w, given that -20*w - 2/7*w**2 + 0 = 0.
-70, 0
Let y(l) = 15*l + 513. Let g be y(-34). Factor 2*o + g + 1/3*o**2.
(o + 3)**2/3
Let q(c) be the second derivative of -3*c**5/20 - 87*c**4/4 - 171*c**3/2 - 255*c**2/2 + 683*c. Determine a, given that q(a) = 0.
-85, -1
Let y(v) be the second derivative of -v**5/10 - 3*v**4/2 - 8*v**3/3 + 90*v. Find l, given that y(l) = 0.
-8, -1, 0
Let q(g) be the first derivative of 4*g**5/5 + g**4 - 8*g**3 - 8*g**2 + 32*g + 40. Find w, given that q(w) = 0.
-2, 1, 2
What is z in 2/5*z**2 - 38/5*z + 168/5 = 0?
7, 12
Suppose 4*c - i - 64 = 0, 0*i = 3*i - 12. What is x in 19 - 5*x + 3*x**2 - 23*x + c - 11*x = 0?
1, 12
Let r(q) = -56*q**2 - 448*q - 816. Let h(c) = 23*c**2 + 179*c + 326. Let w(k) = -12*h(k) - 5*r(k). Let w(i) = 0. What is i?
-21, -2
Suppose 0 = 7*y - 5*y + 10. Let l(n) = n**3 - 5*n**2 + 3*n - 7. Let w(x) = -x**3 + 5*x**2 - 2*x + 8. Let t(q) = y*l(q) - 4*w(q). Factor t(r).
-(r - 3)*(r - 1)**2
Suppose 22 = 11*q - 22. Let l(h) = 175*h**3 + 1530*h**2 - 2100*h + 395. Let c(t) = 16*t**3 + 139*t**2 - 191*t + 36. Let v(i) = q*l(i) - 45*c(i). Factor v(n).
-5*(n - 1)*(n + 8)*(4*n - 1)
Let w be 13 + 5 - (-105)/(-10). Factor 3/2 + w*k**4 + 15/2*k + 15*k**2 + 3/2*k**5 + 15*k**3.
3*(k + 1)**5/2
Suppose -2*t = -0*o + 4*o - 40, 5*o - 10 = 0. Let -2*y**2 - 7 - t*y - 25 + 0*y**2 = 0. What is y?
-4
Let c be (6/8)/((-66)/(-8272)). Let n = 96 - c. Find i, given that -2/5*i**n + 2/5*i + 4/5 = 0.
-1, 2
Let d(x) = -4*x**4 + 4*x**3 + 20*x**2 + 18*x + 6. Let n(q) = -3*q**4 + 5*q**3 + 19*q**2 + 16*q + 5. Let u(h) = -5*d(h) + 6*n(h). Factor u(b).
2*b*(b + 1)**2*(b + 3)
Factor -16/13*n + 40/13 - 2/13*n**2.
-2*(n - 2)*(n + 10)/13
Factor 0*k + 5/2*k**4 + 3/2*k**2 + 1/2*k**5 + 7/2*k**3 + 0.
k**2*(k + 1)**2*(k + 3)/2
Factor -3/8*m**2 + 261/8*m + 0.
-3*m*(m - 87)/8
Let w(a) be the first derivative of a**6/30 - 3*a**5/20 + 2*a**3/3 - 10*a - 16. Let r(v) be the first derivative of w(v). Factor r(k).
k*(k - 2)**2*(k + 1)
Let t(i) be the first derivative of i**6/120 + i**5/10 + i**4/2 + 4*i**3/3 + 2*i**2 + 10*i - 1. Let d(s) be the first derivative of t(s). Factor d(n).
(n + 2)**4/4
Let r = -246 - -255. Let m = -3 - -5. Determine z, given that -r - 11 + 2*z + z**m + 17 = 0.
-3, 1
Let y(i) be the third derivative of i**8/2016 - 13*i**7/1008 - 7*i**6/144 + i**5/3 - 12*i**2 - i. Let q(h) be the third derivative of y(h). Factor q(l).
5*(l - 7)*(2*l + 1)
Suppose 6 = 3*v + 4*h, 10 = 5*v - 3*h + 4*h. Let 6 + 10*q - 2*q**2 + 6 + 4*q**v + 0 = 0. Calculate q.
-3, -2
Let j(r) = -r**2 - 6*r - 5. Let h be j(-3). Factor h + 8*a**3 - 16 - 20*a - 4*a**3 - 4*a**2.
4*(a - 3)*(a + 1)**2
Suppose 1/4*j**3 + 9/4*j - 3/2*j**2 - 1 = 0. Calculate j.
1, 4
Suppose -2*k**2 - 117*k - 20 - 117*k + 193*k = 0. Calculate k.
-20, -1/2
Let r(p) be the third derivative of -p**6/160 - p**5/20 - 3*p**4/32 + 26*p**2. Suppose r(i) = 0. What is i?
-3, -1, 0
Suppose 5*b - 4*w = 2*b + 44, 3*w = -3*b + 51. Solve b - 9*y - 7 - 3 + 3*y**2 = 0.
1, 2
Let w(v) be the first derivative of -v**3/3 - v**2 + 1. Factor w(t).
-t*(t + 2)
Solve -16*u**3 - 18*u**3 + 49*u**3 - 17*u**3 - 14*u**2 - 30*u + 2 - 20 = 0.
-3, -1
Let w(z) be the first derivative of 3/4*z**4 + 5 + 729/2*z**2 + 2187*z + 27*z**3. Factor w(y).
3*(y + 9)**3
Suppose -135*c = -126*c. Let b(y) be the third derivative of -2*y**2 + 0*y + c - 4/15*y**3 + 1/12*y**4 - 1/150*y**5. Factor b(f).
-2*(f - 4)*(f - 1)/5
Let g(w) be the second derivative of -w**6/30 - 7*w**5/20 + 13*w**4/4 - 53*w**3/6 + 11*w**2 + 12*w - 8. Solve g(z) = 0 for z.
-11, 1, 2
Let 88*u - 20*u**2 + 18*u**2 - 24*u = 0. Calculate u.
0, 32
Let m be (6/(-9))/((-4)/(-24)). Let h(x) = -5*x**2 + 30*x - 41. Let f(d) = 5*d**2 - 30*d + 40. Let k(n) = m*f(n) - 5*h(n). Factor k(b).
5*(b - 3)**2
Let j be (-108)/(-45) + (0 - 6/15). Factor 4*h - h**j - h**2 - h + 3*h**2.
h*(h + 3)
Let l = -82268/3 - -27426. Factor -5/6*r**3 - l*r**2 + 0*r + 0.
-5*r**2*(r + 4)/6
Let v(j) be the third derivative of j**7/56 + 97*j**6/240 + 55*j**5/48 - 59*j**4/12 + 11*j**3/2 + 145*j**2. Determine l so that v(l) = 0.
-11, -3, 2/5, 2/3
Let q be 7 + -5 - (0 - (-2 + 0)). Let l(n) be the first derivative of 4 + 9/4*n**4 - 1/2*n**6 - 2*n**3 + 0*n**2 + q*n**5 + 0*n. Factor l(h).
-3*h**2*(h - 1)**2*(h + 2)
Let s(x) be the first derivative of x**4/4 + x**3/5 + 296. Find n, given that s(n) = 0.
-3/5, 0
Let a(z) be the first derivative of -z**4/30 + 4*z**3/45 + 29*z**2/15 - 4*z - 677. Factor a(f).
-2*(f - 6)*(f - 1)*(f + 5)/15
Let o be 266/11 - (-8)/(-44). Let z = -22 + o. Solve 0 + z*d + 2*d**2 + 2 - 6*d = 0.
1
Let t(a) = -a**3 - a**2 + a - 1. Let u(f) = f**4 - 12*f**3 + 60*f**2 + 472*f + 584. Let k(c) = -40*t(c) - 5*u(c). Let k(m) = 0. What is m?
-2, 12
Let q(n) be the first derivative of 7 + 4/7*n**3 - 33/14*n**2 + 3/28*n**4 + 18/7*n. Suppose q(h) = 0. What is h?
-6, 1
Let r(y) be the third derivative of y**7/105 - y**6/20 - 2*y**5/15 + y**4 - 2*y**2 + 86. Factor r(z).
2*z*(z - 3)*(z - 2)*(z + 2)
Suppose 2*v = -5*k - 2*v + 9, -5*k + 37 = -3*v. Let z be 24/90*k/6. Factor 4/9*i + 2/9 + z*i**2.
2*(i + 1)**2/9
Let g = 36 + -22. Let i = 7 - 4. Let 8*o - 2 - 10*o**i + 12*o**2 - g + o**4 + o**4 = 0. What is o?
-1, 2
Let x(q) be the second derivative of q**5/40 - 7*q**4/12 - 31*q**3/12 - 4*q**2 + 293*q. What is t in x(t) = 0?
-1, 16
Suppose 3*s - 2*d - 25 = -0, 3*s - 30 = 3*d. Factor z - 2*z - 3*z**2 + z**2 + s*z.
-2*z*(z - 2)
Factor c**2 + 7*c + 50 - 5*c**2 - 42*c + 9*c**2.
5*(c - 5)*(c - 2)
Let o(x) be the second derivative of x**6/6 - 3*x**5/4 - 25*x**4/6 + 3*x - 87. Solve o(q) = 0 for q.
-2, 0, 5
Suppose -12 = -2*w - 4*j - 4, -3*w = -4*j - 12. Let n(h) be the second derivative of 0*h**2 + 1/9*h**3 + h + 1/18*h**w + 0. Find v such that n(v) = 0.
-1, 0
Let b(j) be the third derivative of 7*j**7/15 - 133*j**6/30 - 158*j**5/5 - 118*j**4/3 - 64*j**3/3 - 98*j**2. Find x such that b(x) = 0.
-2, -2/7, 8
Let f(o) be the first derivative of 0*o - 1/210*o**5 - 4/3*o**3 + 0*o**2 + 1/420*o**6 - 1/84*o**4 + 2. Let p(t) be the third derivative of f(t). Factor p(s).
2*(s - 1)*(3*s + 1)/7
Let o be (-1)/2 + 22/12. Let x be 24/(-672)*-28 - 1/1. Determine v, given that 0*v + 2/3*v**5 + 0 + x*v**3 + 0*v**2 + o*v**4 = 0.
-2, 0
Let i(u) be the third derivative of u**6/240 + 31*u**5/120 - 65*u**4/48 + 11*u**3/4 - 8*u**2 + 9. Factor i(o).
(o - 1)**2*(o + 33)/2
Let p(f) = -9*f**4 + 16*f**3 + 15*f**2 + 11*f - 11. Let t(s) = 5*s**4 - 9*s**3 - 8*s**2 - 6*s + 6. Let h(o) = -6*p(o) - 11*t(o). Factor h(v).
-v**2*(v - 2)*(v - 1)
Let h(t) be the first derivative of t**4/40 - 7*t**3/30 - 9*t**2/10 - 64. Let h(z) = 0. What is z?
-2, 0, 9
Factor -15