5*y**5 + 2/105*y**7 + 0 - 10*y**2 + 2*y**3 + 1/3*y**4 + 0*y - 1/15*y**6. Factor l(g).
4*(g - 3)*(g - 1)*(g + 1)**2
Let t = -60 + 75. Suppose 6*p - p = z + t, z + p = 3. Factor z + 5/7*g**2 + 4/7*g**3 + 2/7*g + 1/7*g**4.
g*(g + 1)**2*(g + 2)/7
Find w such that -54/7 + 24/7*w**2 - 27/7*w - 3/7*w**3 = 0.
-1, 3, 6
Let i be 1*5*(-2 + 1). Let g be i + 4 - (-1 + -2). Factor 11*v**2 + 9*v**3 - 3*v**5 + 6*v + 12*v**4 + 4*v**g - 15*v**4.
-3*v*(v - 2)*(v + 1)**3
Let f(j) = 15*j**3 + 37*j**2 - 68*j - 83. Let s be 32/(-8) - (-2 + 2 + 1). Let y(r) = -10*r**3 - 25*r**2 + 45*r + 55. Let q(d) = s*f(d) - 7*y(d). Factor q(n).
-5*(n - 2)*(n + 1)*(n + 3)
Let k be (-2880)/3150 + 12/10. Let w(a) be the first derivative of 2/21*a**3 + k*a - 2 + 2/7*a**2. Factor w(l).
2*(l + 1)**2/7
Let v be 2/10 - 125/625. Solve -1/5*m**4 - 15*m**2 + 3*m**3 + 25*m + v = 0 for m.
0, 5
Let n = 25971/7 + -3709. Factor 12/7*r + 0 - 4*r**2 + n*r**3.
4*r*(r - 3)*(2*r - 1)/7
Let b(f) = -f**3 - f**2 - 8*f + 1. Let r(k) = k**3 + 2*k**2 + 7*k. Let u(q) = 2*b(q) + 3*r(q). Find d, given that u(d) = 0.
-2, -1
Let l(r) = 3*r**3 - 40*r**2 + 22*r + 8. Let k(w) = -10*w**3 + 119*w**2 - 67*w - 24. Let a(m) = 6*k(m) + 17*l(m). Factor a(v).
-(v - 2)**2*(9*v + 2)
Suppose -60*i + 63*i + 72 = 0. Let m be 0 + 0 + i/(-27) - 0. Solve m*f + 2/9*f**2 + 2/3 = 0.
-3, -1
Let j = 2/295 + 572/2655. Factor 32/9 - 16/9*o + j*o**2.
2*(o - 4)**2/9
Let u(k) be the first derivative of -k**4/14 - 46*k**3/21 - 143*k**2/7 - 242*k/7 + 328. Factor u(s).
-2*(s + 1)*(s + 11)**2/7
Let j be (-7 - 33/(-2)) + (-8 - -1). Find h, given that 35/2*h**2 + 15*h**3 - 5/4*h**5 + j*h**4 + 25/4*h + 0 = 0.
-1, 0, 5
Let i(j) be the first derivative of -25 - j**3 + 2*j + 22 - 3*j**2 + 22*j. Suppose i(f) = 0. What is f?
-4, 2
Suppose 0 = 2*w - 16 - 8. Let p be (2 - w/8)*(9 + 1). Let 0*a + 0*a**2 + 1/4*a**4 + 0 + 0*a**3 + a**p = 0. What is a?
-1/4, 0
Let q(f) = 4*f + 87. Let p be q(-21). Let y be 10/6 + (-1)/p. What is s in -4/3*s**2 + y + 4/3*s - 4/3*s**3 = 0?
-1, 1
Let k(c) be the third derivative of -c**6/60 - 2*c**5/5 - 7*c**4/4 - 10*c**3/3 + 2*c**2 + 127. Factor k(o).
-2*(o + 1)**2*(o + 10)
Find a, given that 1080/7*a - 900/7*a**2 + 2/7*a**5 - 40/7*a**4 - 432/7 + 290/7*a**3 = 0.
1, 6
Suppose w = 5*w + 4*g + 16, 3*w = -2*g - 8. Factor 34 + 2*o**2 + w*o + 34 - 32*o + 60.
2*(o - 8)**2
Let b(i) = 7*i**2 + 114*i - 3029. Let a(w) = 2*w**2 + w - 1. Let f(s) = -4*a(s) + b(s). Factor f(g).
-(g - 55)**2
Factor 1/4*k**2 + 21/4 - 5/2*k.
(k - 7)*(k - 3)/4
Let r(n) be the third derivative of 11*n**6/40 - n**5/5 - 25*n**4/8 + 9*n**3 - 224*n**2. Factor r(u).
3*(u - 1)**2*(11*u + 18)
Let -2*n**2 - 354 + 716 - 362 + 8*n = 0. What is n?
0, 4
Let m = -47/16 - -51/16. Let k(p) be the second derivative of 1/16*p**4 - 9/8*p**2 + 8*p + m*p**3 + 0. Factor k(u).
3*(u - 1)*(u + 3)/4
Let u(p) be the second derivative of -23*p + 0 + 2*p**3 + 18*p**2 + 1/12*p**4. Factor u(f).
(f + 6)**2
Let i(z) = z + 7. Let c(m) = 2*m + 8. Let x(v) = -3*c(v) + 4*i(v). Let h be x(-5). Determine a, given that -4*a**3 + 2*a**2 + 14*a + 2*a**4 - h*a = 0.
0, 1
Let a(o) be the second derivative of o**7/6 - 67*o**6/30 + 9*o**5/5 - 93*o. What is j in a(j) = 0?
0, 4/7, 9
Let r = 3 - 8. Let q be -8*(3 + r) - -1. Find p such that -q*p**2 + 43*p**2 - p**3 - 18*p**2 + 5*p**3 = 0.
-2, 0
Let q be -3*(-11)/(-132) - (1 + -2). Factor -q*n - 3/8*n**2 + 0.
-3*n*(n + 2)/8
Let o = 13973962 + -13373080364/957. Let z = 2/319 + o. Determine q so that z*q**3 + 2*q**2 - 8/3*q - 8/3 - 2/3*q**4 = 0.
-1, 2
Let m(j) = 1. Let s(n) = -n**2 - 37*n + 46. Let v(u) = -24*m(u) + 3*s(u). Factor v(d).
-3*(d - 1)*(d + 38)
Let q(f) be the first derivative of 5476*f**5/25 - 1517*f**4/5 + 608*f**3/15 - 8*f**2/5 + 21. Let q(r) = 0. Calculate r.
0, 2/37, 1
Let q(k) = 5*k**2 + k - 1. Let y(f) = 12*f**2 - 6. Let b(t) = 4*q(t) - 2*y(t). Determine u, given that b(u) = 0.
-1, 2
Let t(u) = -68*u - 337. Let h be t(-5). Suppose 2/7*j - 2/7*j**4 + 2/7*j**2 + 0 - 2/7*j**h = 0. What is j?
-1, 0, 1
Let k(a) be the second derivative of a**4/4 + 21*a**3 + 1323*a**2/2 - 35*a. Factor k(p).
3*(p + 21)**2
Let z(p) be the second derivative of -31*p + 1/40*p**5 - 1/63*p**7 + 0 - 2/45*p**6 + 0*p**2 - 1/18*p**3 + 5/72*p**4. Let z(n) = 0. Calculate n.
-2, -1, 0, 1/2
Let g(q) be the second derivative of -q**4/4 - 61*q**3/2 - 90*q**2 + 68*q. Factor g(x).
-3*(x + 1)*(x + 60)
Let l = 41 - 33. Let s be (3/18)/(9/(108/l)). Suppose -s*m**2 + 0*m + 1/4 = 0. What is m?
-1, 1
Let f(d) be the second derivative of d + 0 - 1/12*d**4 - 1/40*d**5 + 0*d**2 + 0*d**3. Factor f(u).
-u**2*(u + 2)/2
Suppose -19*s = 66 - 131 - 30. Suppose 2/3 + 2/3*l**s - 4/3*l**2 - 4/3*l**3 + 2/3*l**4 + 2/3*l = 0. What is l?
-1, 1
Factor 146 + 91*f - 4*f**3 + 97*f - 72*f**2 - 242 - 45*f**2 + 29*f**2.
-4*(f - 1)**2*(f + 24)
Let x(g) be the second derivative of -g**4/24 + g**3/3 - g**2 - 3*g - 1. Let x(j) = 0. What is j?
2
Let c(p) be the first derivative of p**6 + 2*p**5 - p**4 - 4*p**3 - p**2 + 2*p + 30. Solve c(k) = 0.
-1, 1/3, 1
Let k(x) = 3*x**3 - 5*x**2 - 4*x. Let r(a) = 4*a**3 - 5*a**2 - 4*a. Suppose 0 = 17*d - 23*d + 24. Let p(v) = d*r(v) - 5*k(v). Factor p(g).
g*(g + 1)*(g + 4)
Let l(w) be the third derivative of w**5/30 - 4*w**4/21 + 3*w**3/7 + 3*w**2 + 48*w. Let l(p) = 0. Calculate p.
1, 9/7
Let u(w) be the second derivative of -5*w**4/4 + 47*w**3/6 - 3*w**2 - 6*w + 4. Suppose u(x) = 0. Calculate x.
2/15, 3
Let u = 6 + 6. Find a, given that 8 + u*a + 6*a**2 - 2*a**4 - 4*a**3 + 0*a**3 + 4*a = 0.
-2, -1, 2
Factor -35 + 8 + 62 - 35 + 105*b + 5*b**2.
5*b*(b + 21)
Let k(g) be the third derivative of -1/10*g**6 - 7/4*g**4 - 53/60*g**5 - 18*g**2 + 0*g - 4/3*g**3 + 1/30*g**7 + 0. Factor k(v).
(v - 4)*(v + 1)**2*(7*v + 2)
Let g(b) = -5*b**4 - 12*b**3 + 8*b**2 + 6*b - 9. Let f(p) = 4*p**4 + 11*p**3 - 8*p**2 - 6*p + 9. Let s(x) = -6*f(x) - 5*g(x). Factor s(t).
(t - 3)**2*(t - 1)*(t + 1)
Let o(b) be the second derivative of -b**5/80 - b**4/24 + 5*b**3/8 - 45*b + 1. Factor o(r).
-r*(r - 3)*(r + 5)/4
Let w(k) be the third derivative of -k**5/300 + 11*k**4/120 - k**3/3 - 2*k**2 + 337*k. What is y in w(y) = 0?
1, 10
Find v such that -195/4 - 285/2*v**2 - 45*v**3 + 5/4*v**4 - 145*v = 0.
-1, 39
Let g = 522 - 522. Let m(v) be the third derivative of 0*v**3 + 3/40*v**6 + 11*v**2 + 0 - 1/2*v**4 + g*v - 1/70*v**7 + 0*v**5. Factor m(r).
-3*r*(r - 2)**2*(r + 1)
Let l(h) = 4*h**2 - 3*h - 2. Let i be l(3). Determine k, given that -2*k**2 + 19*k - 48*k + i*k = 0.
-2, 0
Determine l, given that 1/5*l - 1/5*l**2 + 6/5 = 0.
-2, 3
What is k in 0 - 16/9*k - 14/9*k**5 + 38/9*k**4 + 4/3*k**3 - 56/9*k**2 = 0?
-1, -2/7, 0, 2
Let b = 22442 + -112192/5. What is v in -2/5*v**2 + 4*v - b = 0?
1, 9
Let s(o) be the second derivative of -o**10/30240 - o**9/3024 - o**8/2240 + o**7/280 - o**4/6 - 3*o + 4. Let b(n) be the third derivative of s(n). Factor b(y).
-y**2*(y - 1)*(y + 3)**2
Let a(o) be the second derivative of -o**6/45 - o**5/15 + 2*o**3/9 + o**2/3 - 65*o. Suppose a(q) = 0. What is q?
-1, 1
Let w(m) be the third derivative of m**6/600 + m**5/30 - m**4/120 - m**3/3 + 3*m**2 + 15. Determine q, given that w(q) = 0.
-10, -1, 1
Let g(b) = -21*b**2 + 1 + 7*b**2 + 7*b**2 - 3*b. Let t(c) = -8*c**2 - 4*c. Let z(q) = -4*g(q) + 3*t(q). Find l, given that z(l) = 0.
-1, 1
Suppose -3*f + 4 = -19*v + 24*v, -f + 6 = 4*v. Let r be 6/(v/((-36)/(-15))). Factor -r*o**2 - 3/5*o**3 - 192/5 - 144/5*o.
-3*(o + 4)**3/5
Factor -63*c**2 - 14*c + 10*c - 3*c + 3*c**3 + 7*c.
3*c**2*(c - 21)
Let h(a) be the first derivative of -32*a**5/15 - 92*a**4/3 - 18*a**3 + 76*a**2/3 - 22*a/3 + 254. What is r in h(r) = 0?
-11, -1, 1/4
Let f(w) be the second derivative of -w**4/12 + w**3/6 - 11*w. Let z(u) = -3*u**2 + 15*u + 6. Let k(x) = 6*f(x) - z(x). Factor k(o).
-3*(o + 1)*(o + 2)
Let g(m) be the third derivative of m**6/15 - m**5/35 - 53*m**2. Factor g(u).
4*u**2*(14*u - 3)/7
Let y(g) = g**2 - 20*g + 1. Let d be y(18). Let p be (1 + 1 - (-147)/d) + 3. Find k such that -8/5*k**5 + 4*k**2 + p - 2*k**3 + 18/5*k - 24/5*k**4 = 0.
-2, -1, -1/2, 1
Let m be 0 + 0 + 1 - -3. Suppose 1 = -2*o + m*g + 37, -4*o + 3*g = -87. Factor o + 12*l - 9*l - 22*l - 3*l**3 + 18*l**2 - 17*l.
-3*(l - 2)**3
Let z = 24783 - 74348/3. Factor 0*j + 1/3*j**4 + z - 2/3*j**2 + 0*j**3.
(j