/5 - 20*q. Factor m(t).
(t - 2)*(t + 1)*(t + 2)/5
Let i(q) = 13*q**3 + 3*q**2 + 27*q. Let g(m) = 3*m**3 + m**2 + 6*m. Let o(w) = -9*g(w) + 2*i(w). Factor o(h).
-h**2*(h + 3)
Let z(f) = f**2 - 31*f + 33. Suppose -2*n = 4*r - 48, -n + 4*r + 27 = -15. Let d be z(n). Solve 2*j**d - 2*j**2 - 2/3*j**4 + 2/3*j + 0 = 0 for j.
0, 1
Let x(p) be the first derivative of -168*p**2 + 9*p**6 - 54/5*p**5 - 64*p - 632/3*p**3 - 117*p**4 + 8. Factor x(k).
2*(k - 4)*(k + 1)*(3*k + 2)**3
Let q(d) = 2764*d - 22112. Let i be q(8). Let i*h**3 + 0 + 6/5*h**2 - 6/5*h**4 + 3/5*h - 3/5*h**5 = 0. What is h?
-1, 0, 1
Let k(b) be the second derivative of -3/4*b**3 + 0*b**2 + 25*b + 0 - 1/4*b**4 + 3/40*b**5. Determine c so that k(c) = 0.
-1, 0, 3
Let a(g) = -73*g - 1460. Let k be a(-20). Factor 0*m**2 + k + 0*m - 2/5*m**4 + 1/5*m**3 + 1/5*m**5.
m**3*(m - 1)**2/5
Suppose 8*v - 15*v = -483. Let u = 69 - v. Factor -4/3 + 4/3*o**2 + u*o.
4*(o - 1)*(o + 1)/3
Let c(o) = 46*o**2 + 16*o - 55. Let p(h) = -9*h**2 - h - 1. Let z(k) = c(k) + 5*p(k). Solve z(g) = 0.
-15, 4
Let y = 8724 - 610693/70. Let a = 11/14 + y. Factor -a*t + 3/5 - 6/5*t**2.
-3*(t + 1)*(2*t - 1)/5
Let j(m) = -6*m**3 - 3*m**2 - 4*m + 12. Let o(u) = 5*u**3 + 3*u**2 + 4*u - 12. Let d(v) = -6*j(v) - 7*o(v). What is n in d(n) = 0?
-2, 2, 3
Let j be -4 + 0 + 11 + (-3 - 4). Let w(s) be the third derivative of j*s - 1/8*s**3 - 1/24*s**4 - 1/240*s**5 - 5*s**2 + 0. Suppose w(f) = 0. Calculate f.
-3, -1
Let u = 6290 - 503193/80. Let r(p) be the second derivative of -11/48*p**4 + 1/4*p**2 + 0 + 7/24*p**3 + 3/40*p**6 + 5*p - u*p**5. Factor r(m).
(m - 1)**2*(m + 1)*(9*m + 2)/4
Let a be -6 + (2 - 17 - -21). Factor a - 2/7*g**3 + 4/7*g**2 + 0*g.
-2*g**2*(g - 2)/7
Factor o**3 + 1/3*o + 0 + 1/3*o**4 + o**2.
o*(o + 1)**3/3
Let o = 13 - 7. Suppose -4*a - 3*x = -o, a = -0*a + 5*x + 13. Factor -1 + 2*l - 2*l**3 - a + 4.
-2*l*(l - 1)*(l + 1)
Let p(d) = -32*d**3 - 8*d**2 + 38*d - 4. Let q(t) = -63*t**3 - 16*t**2 + 74*t - 6. Let k(a) = -11*p(a) + 6*q(a). Factor k(b).
-2*(b - 1)*(b + 1)*(13*b + 4)
Let c(a) = 52*a**2 + 72*a + 44. Let h(l) = 21*l**2 + 29*l + 18. Let z(v) = 5*c(v) - 12*h(v). Factor z(b).
4*(b + 1)*(2*b + 1)
Let q(i) be the third derivative of -i**6/60 - 7*i**5/15 - 8*i**4/3 + 128*i**3/3 + 13*i**2 - 1. Find d such that q(d) = 0.
-8, 2
Let p be 4 - ((-2337)/(-522) + (-4)/8). Let k = p + 9/29. Factor 1/3*x**2 - k*x**4 + 0 + 2/3*x - 2/3*x**3.
-x*(x - 1)*(x + 1)*(x + 2)/3
Let f(p) = -2*p**2 + 4*p. Let i = 3 - 0. Suppose -3*s - i = a, 2*s + 7 = 3*a - 2*a. Let n(l) = -l**2 + 4*l. Let m(k) = a*f(k) - 4*n(k). Factor m(j).
-2*j*(j + 2)
Let q = 26 - 24. Factor 3*c**3 - q*c**2 - 2*c - c**3 - 21*c**4 + 23*c**4.
2*c*(c - 1)*(c + 1)**2
Let n be 7/14 + (-45)/(-6). Suppose n*m = 12*m. Solve 8/15*k**4 + m + 2/15*k + 6/5*k**3 + 4/5*k**2 = 0 for k.
-1, -1/4, 0
Let i = -468 + 937/2. Let 1/4*y**3 + i - 1/4*y - 3/4*y**2 + 1/4*y**4 = 0. What is y?
-2, -1, 1
Let g(i) = -13*i**4 - 146*i**3 - 311*i**2 - 101*i + 72. Let x(a) = 7*a**4 + 74*a**3 + 155*a**2 + 50*a - 36. Let j(p) = 2*g(p) + 5*x(p). Solve j(t) = 0 for t.
-6, -2, -1, 1/3
Let t(j) be the third derivative of -j**8/336 - j**7/70 - j**6/120 + j**5/20 + j**4/12 + j**2 + 14*j. Factor t(c).
-c*(c - 1)*(c + 1)**2*(c + 2)
Suppose -2*u - 20 = 5*i, -6*u + u - 50 = 4*i. Let t be (855/100)/19 - (-2)/u. Factor -z - 3/4*z**2 - t.
-(z + 1)*(3*z + 1)/4
Let a be 4/(-16) + 1/4*-59. Let g be (a/(-6) - -2)*1/2. Determine j, given that -3/4*j**5 - g*j**3 + 0 + 0*j + 9/4*j**4 + 3/4*j**2 = 0.
0, 1
Let z = -66981/7 + 9569. What is j in 6/7 - 4/7*j - z*j**2 = 0?
-3, 1
Let y(q) = -q**3 - 13*q**2 - 23*q - 8. Let j be y(-11). Let i(n) be the second derivative of 5/2*n**j + 6*n + 7/4*n**4 + 0 - 3*n**2. Factor i(x).
3*(x + 1)*(7*x - 2)
Factor 664*z - 40*z - 39668 - 23732 + 14728 - 2*z**2.
-2*(z - 156)**2
What is k in -1/3*k**2 + 2/3*k**3 + 0 - 1/3*k**4 + 0*k = 0?
0, 1
Factor -384/5 - 2/15*p**2 + 32/5*p.
-2*(p - 24)**2/15
Factor -1512*v - 3459/5*v**2 + 42*v**3 - 3/5*v**4 - 3888/5.
-3*(v - 36)**2*(v + 1)**2/5
Let o(h) be the first derivative of -h**6/3 + 122*h**5/5 - 959*h**4/2 + 1678*h**3/3 + 960*h**2 - 1800*h - 292. Solve o(c) = 0 for c.
-1, 1, 30
Factor 2*q**3 - 73*q**2 - 2*q + 4*q**3 - 52*q - 2*q**4 + 34*q**2 + 57*q**2.
-2*q*(q - 3)**2*(q + 3)
Let s(b) = 2*b - 12. Let a be s(10). Let t be a/(-6)*15/(-10). Let 6 - 8*g + 0*g**2 + 1 + 2*g**t - 1 = 0. Calculate g.
1, 3
Let b = 401 - 695. Let w = -289 - b. Let 9/2*r**2 + 1/4*r**4 + w*r + 2 + 7/4*r**3 = 0. What is r?
-2, -1
Let v(y) be the third derivative of -y**9/241920 - y**8/80640 - y**5/15 + 13*y**2. Let h(s) be the third derivative of v(s). Factor h(n).
-n**2*(n + 1)/4
Let m(r) = -32*r - 186. Let h be m(-6). Let c(b) be the third derivative of -2/35*b**5 + 1/21*b**4 + 0*b**3 - b**2 + 0*b + 0 + 3/140*b**h. Solve c(w) = 0 for w.
0, 2/3
Let k(r) be the third derivative of 0 + 0*r**3 + 0*r + 1/60*r**5 - 9*r**2 + 0*r**4. Let t(p) = -7*p**2 + 4*p - 4. Let s(i) = -6*k(i) - t(i). Factor s(n).
(n - 2)**2
Let t = 1480 + -1480. Let b(o) be the first derivative of 9 - 1/15*o**6 + 0*o + 8/25*o**5 - 2/5*o**4 + 0*o**3 + t*o**2. Determine r, given that b(r) = 0.
0, 2
Suppose -7*q = 85 - 15. Let b be (-24)/q + (-4)/2. What is s in -4/5*s**3 + 0*s**2 + b*s**5 + 0 + 2/5*s + 0*s**4 = 0?
-1, 0, 1
Let y(x) be the second derivative of -x**5/35 - 11*x**4/21 - 68*x**3/21 - 48*x**2/7 - 20*x + 5. Factor y(a).
-4*(a + 1)*(a + 4)*(a + 6)/7
Let q(o) = -o**2 - 10*o - 12. Let s(p) = p**2 - 11*p - 8. Let g be s(11). Let k be q(g). Factor k*i - i - 8*i**2 + 4*i**2 + i**2.
-3*i*(i - 1)
Let p = -213 + 144. Let n be (-184)/p - (-1 + -1). Find r, given that 4/3*r + n*r**2 - 13/3*r**3 - 8/3 + r**4 = 0.
-2/3, 1, 2
Suppose -232*g + 28 = -442*g + 224*g. Solve -9/7*d**g + 3/7*d**4 + 0*d + 0 - 6/7*d**3 = 0 for d.
-1, 0, 3
Suppose 0 = -5*t + 2*r + 22 - 4, -t = -3*r - 14. Factor -4/17*a**4 - 2/17 + 10/17*a - 18/17*a**t + 14/17*a**3.
-2*(a - 1)**3*(2*a - 1)/17
Let f(m) be the second derivative of -m**6/360 + 3*m**5/40 + m**3/6 + 14*m. Let p(s) be the second derivative of f(s). Solve p(y) = 0.
0, 9
Let r(d) be the first derivative of -d**4/4 - 14*d**3/3 + 262. Factor r(u).
-u**2*(u + 14)
Let s(w) = w**3 + 11*w**2 + 10*w + 2. Let l be s(-10). Factor -2*g**4 - 96*g**2 - 2*g**3 + 202*g**2 - 102*g**l.
-2*g**2*(g - 1)*(g + 2)
Factor 59*s**3 - 110*s**3 + 12*s**2 + 58*s**3 + 3*s + s**4 - 6*s - s - 16.
(s - 1)*(s + 2)**2*(s + 4)
Suppose y - 17 = 3*z, y + 7*z + 77 - 44 = 0. Factor 3/2*k**3 - 3/2*k + 1 - k**y.
(k - 1)*(k + 1)*(3*k - 2)/2
Let f(w) be the third derivative of 1/42*w**7 - 1/3*w**5 + 0*w - 1/36*w**6 + 0 + 0*w**3 + 5/1008*w**8 + 7*w**2 - 5/9*w**4. Determine o so that f(o) = 0.
-2, -1, 0, 2
Let t be (8 + 2)*(-2)/(-1). Let r = -18 + t. Find q such that 8*q + 4*q + 118*q**r - 114*q**2 = 0.
-3, 0
Let l(s) be the first derivative of -21 - 4/21*s**3 - 28*s + 4*s**2. Determine b so that l(b) = 0.
7
Let t(u) = 12*u**3 - 14*u**2 - 2*u + 10. Let j = 122 - 128. Let o(i) = i**2 - i + 1. Let p(f) = j*o(f) + t(f). Let p(h) = 0. What is h?
-1/3, 1
Let c = 853/85 - 49/5. Let 0*q**3 - c*q + 0 + 2/17*q**4 - 6/17*q**2 = 0. Calculate q.
-1, 0, 2
Let k(l) be the first derivative of -l**6/75 + l**4/15 - l**2/5 - 11*l - 5. Let v(j) be the first derivative of k(j). Find i, given that v(i) = 0.
-1, 1
Let n(z) = -z**2 + 25*z + 353. Let w be n(35). Let g(o) be the third derivative of 1/10*o**5 + 0*o + 7*o**2 - o**w - 3/8*o**4 + 0. Factor g(y).
3*(y - 2)*(2*y + 1)
Let d be ((-2)/18)/(406/(-812)). Suppose -4/3 + 2/9*x + d*x**2 = 0. What is x?
-3, 2
Let x(t) be the first derivative of t**4/10 - 2*t**3/3 + 7*t**2/5 - 6*t/5 + 51. Suppose x(q) = 0. Calculate q.
1, 3
Let n be 331/(-2) - (-4 - -1). Let g = -162 - n. Suppose -3/4*x + 1/2*x**2 + 1/4*x**5 + 1/4 + g*x**3 - 3/4*x**4 = 0. Calculate x.
-1, 1
Let z(n) be the second derivative of n**4/42 - 30*n**3/7 + 2025*n**2/7 + 62*n - 1. Find q such that z(q) = 0.
45
Factor -24 + 3*v**3 + 2*v + 30*v**2 - 54*v**3 + 219*v**2 + 9*v - 185*v.
-3*(v - 4)*(v - 1)*(17*v + 2)
Let o(d) be the second derivative of d**8/43680 + d**7/8190 - 61*d**4/12 + 19*d. Let h(z) be the third derivative of o(z). Factor h(m).
2*m**2*(m + 2)/13
Suppose 0 = -2*v - 3*g + 793, -4*v + 2*g - 794 = -2388. Suppose c**2 - 8*c - 394 + 3*c