- 1)*(g + 1)
Let o(c) = c**3 - 12*c**2 - 12*c - 13. Let n be o(13). Factor 22*v**3 + 8/7*v - 14*v**4 - 64/7*v**2 + n.
-2*v*(v - 1)*(7*v - 2)**2/7
Let g = -344 - -349. Suppose -y = g*y - 4*y. Factor 0 + l**3 + 3/2*l**2 + y*l - 1/2*l**4.
-l**2*(l - 3)*(l + 1)/2
Let b be ((-1)/2*18/27)/(6/(-36)). Factor 4/7 + 30/7*k + 58/7*k**3 + 18/7*k**4 + 66/7*k**b.
2*(k + 1)**3*(9*k + 2)/7
Suppose 2*i = -4*i + 12. Let m be (-51)/9 + i + 4. Factor 1/3*h + 2/3 - 2/3*h**2 - m*h**3.
-(h - 1)*(h + 1)*(h + 2)/3
Let j = -2686 + 2746. Let f(y) be the first derivative of -165/4*y**2 - 10*y**4 + 12 + j*y**3 + 10*y. Factor f(c).
-5*(c - 4)*(4*c - 1)**2/2
Let n(o) be the third derivative of o**10/105840 - o**9/17640 + o**8/7840 - o**7/8820 + o**4/2 - o**2. Let l(a) be the second derivative of n(a). Factor l(w).
2*w**2*(w - 1)**3/7
Let n(g) be the second derivative of 0*g**2 + 0*g**3 - 3/50*g**6 + 1/70*g**7 + 3/50*g**5 - 2*g + 0 + 0*g**4. Factor n(o).
3*o**3*(o - 2)*(o - 1)/5
Solve 49*l**5 + 0*l**3 - 2*l**3 - l**3 - 12*l**4 + 18*l**2 - 52*l**5 = 0.
-3, -2, 0, 1
Let q = 1 - 11. Let f be ((-9)/q)/((-3)/12 + 1). What is b in -4/5*b**2 + f*b - 4/5*b**3 + 6/5*b**4 - 2/5*b**5 - 2/5 = 0?
-1, 1
Let t = 17 - 10. Factor -t*o**3 - 3*o**4 - o**3 + 3*o**3 - o**4 - 2*o**2 - o**5.
-o**2*(o + 1)**2*(o + 2)
Suppose 3 + 5 = 2*m. Suppose -57*z = -55*z - m. Factor 2*b**4 - z*b - 2/3 - 4/3*b**2 + 4/3*b**3 + 2/3*b**5.
2*(b - 1)*(b + 1)**4/3
Let f(n) = 7*n**3 - 12*n**2 + 5*n + 7. Let d(u) be the first derivative of u**4 - 2*u**3 + u**2 + 3*u + 6. Let w(y) = -7*d(y) + 3*f(y). Solve w(b) = 0 for b.
-1/7, 0, 1
Let s be (-10)/35 - (-32)/14. Factor -68*c**3 + 72*c**3 - 7*c**4 + 8*c**2 - s*c**4 - 3*c**4.
-4*c**2*(c - 1)*(3*c + 2)
Suppose 10*k - 3*k = 9*k. Suppose -y + 2*x - 1 + 9 = k, y + 3*x = -12. Find s, given that y + 2/13*s - 2/13*s**2 = 0.
0, 1
Let t(k) = -151*k**3 - 242*k**2 - 43*k. Let j(v) = 152*v**3 + 244*v**2 + 42*v. Let u(w) = -3*j(w) - 2*t(w). Suppose u(h) = 0. What is h?
-10/7, -2/11, 0
Let w(n) = n**3 - 6*n**2 + n - 7. Let m be w(6). Let y(k) = k**2. Suppose f - 6 = -0*f. Let z(x) = 11*x**2 - 3*x - 2. Let a(j) = f*y(j) + m*z(j). Factor a(i).
-(i - 1)*(5*i + 2)
Suppose 2*r = 4*l - 68, 2*l - 70 = -2*l + r. Let g be 57/18 - 3/l. Find h, given that -8*h - 18*h**2 + 6*h**2 + 15 + 8*h**3 - g = 0.
-1, 1, 3/2
Let n(d) be the first derivative of -7/36*d**6 - 23 + 4/3*d + 22/15*d**5 - 103/24*d**4 + 55/9*d**3 - 13/3*d**2. Solve n(m) = 0.
2/7, 1, 2
Let p = -36 + 20. Let g be (-57)/(-12) + (-4)/p. Determine j so that -4*j**2 + g*j - 3*j + 9*j**2 = 0.
-2/5, 0
Suppose 11*f - 10*f + 3 = -3*m, 4*f + 12 = -m. Suppose 2/5*y**2 + m + 2/5*y**3 + 0*y = 0. Calculate y.
-1, 0
Let f(t) be the third derivative of -t**6/40 + 47*t**5/80 - 33*t**4/32 - t**2 + 4. Factor f(k).
-3*k*(k - 11)*(4*k - 3)/4
Let x(b) = -15*b**2 + 15*b. Let w(c) be the third derivative of -7*c**5/60 + 7*c**4/24 + 3*c**2. Let a(p) = -13*w(p) + 6*x(p). Factor a(o).
o*(o - 1)
What is v in 203*v**4 + 36*v**3 - 90*v**2 - 205*v**4 + 120 - 28*v + 20*v = 0?
-1, 2, 15
Let m be 3*(-29)/435 - 99/(-95). Factor m*d**2 + 0*d + 2/19*d**3 + 0.
2*d**2*(d + 8)/19
Let z = -26841/5 + 5369. Suppose -6/5*s - 2/5*s**2 + 6/5*s**3 + z - 2/5*s**4 = 0. What is s?
-1, 1, 2
Suppose -4*w + 2 = -18. Suppose 0*s = -s - w*s. Factor s*z + 2/5*z**3 + 0*z**2 + 0 - 4/5*z**4 + 2/5*z**5.
2*z**3*(z - 1)**2/5
Let s = -2591 + 5183/2. Determine z so that -s*z**4 - 1/2*z**2 + 0*z + 0 - z**3 = 0.
-1, 0
Suppose -o - 4 = -y, -50*y + 4*o + 4 = -52*y. Solve 1/6*n**y - 1/3*n - 1/2 = 0 for n.
-1, 3
What is q in 58/15*q**2 + 2/15*q**3 - 4*q + 0 = 0?
-30, 0, 1
Suppose 3*j + 2*j = 10. Find a such that 2 + 3 + 2 - 5 - j*a**2 = 0.
-1, 1
Let t(k) be the first derivative of -5*k**4/14 + 74*k**3/21 + 26*k**2/7 - 32*k/7 + 93. Determine j, given that t(j) = 0.
-1, 2/5, 8
Suppose 19*j - 15*j = 12. Let g be (-2)/((-3)/j*6). Find r such that 0*r + 1/3*r**2 - 1/3*r**4 - g*r**3 + 0 + 1/3*r**5 = 0.
-1, 0, 1
Let i(g) be the third derivative of g**7/105 + g**6/12 + g**2 + 73. What is u in i(u) = 0?
-5, 0
Suppose -27*t**2 - 4*t**3 - 14*t**3 - 80*t**4 + 77*t**4 = 0. What is t?
-3, 0
Let o = -1/23560 + 94247/164920. Determine n so that o + 0*n**2 - 6/7*n + 2/7*n**3 = 0.
-2, 1
Suppose -5*a = 5*b - 45, 2*a - 2*b = -6*b + 26. Suppose 2*s - a*t = 33, 0*s + 4*t + 4 = -4*s. Factor -12*q**s - 5*q**2 + 4*q + 35*q**3 + 2 - 2 - 19*q**2.
-q*(q - 2)*(3*q - 2)*(4*q - 1)
Let j(w) be the third derivative of -w**5/210 - 17*w**4/84 - 16*w**3/21 + 141*w**2. What is r in j(r) = 0?
-16, -1
Let u(j) be the first derivative of j**6/540 - j**5/90 + 2*j**3/3 - 13. Let m(b) be the third derivative of u(b). Factor m(i).
2*i*(i - 2)/3
Let b = 130 + -126. Let n(z) be the third derivative of 0 + 0*z**3 - 1/18*z**b - 4*z**2 - 7/90*z**5 + 0*z. Factor n(p).
-2*p*(7*p + 2)/3
Let g(k) be the third derivative of -1/10*k**3 + 1/24*k**4 + 0*k + 1/100*k**5 + 0 + 21*k**2 - 1/120*k**6. Factor g(x).
-(x - 1)*(x + 1)*(5*x - 3)/5
Let m = 3 - 0. Suppose 4*h + 5*n = -2, 6*h - 4*n = 4*h + 12. Determine t so that -3*t - m*t**h + 3 - 3 = 0.
-1, 0
Let p(a) = -a. Let m(v) = -3*v**2 - 21*v - 12. Let s = 21 + -30. Let q(c) = s*p(c) + m(c). Factor q(h).
-3*(h + 2)**2
Let c(k) be the third derivative of -k**7/2100 - 3*k**6/400 - 7*k**5/200 - 19*k**4/240 - k**3/10 + 64*k**2. Factor c(u).
-(u + 1)**3*(u + 6)/10
Let 512/13 - 64/13*k + 2/13*k**2 = 0. What is k?
16
Let s be 2/(-6) - 28782/(-81). Let o be (-3)/(-4) + s*(-10)/(-600). Solve -o*u + 2/3*u**2 + 50/3 = 0.
5
Let -38*q - 1083 - 1/3*q**2 = 0. Calculate q.
-57
Let x(m) be the second derivative of m**7/231 + 16*m**6/55 + 263*m**5/55 - 200*m**4/11 + 625*m**3/33 - 201*m. Factor x(c).
2*c*(c - 1)**2*(c + 25)**2/11
Solve -40/9*z - 8/9*z**3 + 34/9*z**2 + 8/9 = 0 for z.
1/4, 2
Let 23*x**2 - 10 + 90*x + 16 - 14 = 0. Calculate x.
-4, 2/23
Let d(k) be the second derivative of 2*k**7/7 + 2*k**6/3 - k**5 - 5*k**4/3 + 4*k**3/3 - 98*k + 1. Find h, given that d(h) = 0.
-2, -1, 0, 1/3, 1
Let w = -13 - -22. Let s be ((-13)/(13/6))/((-2)/1). What is i in -w - s*i + 6 + 0*i - 3 + 3*i**2 = 0?
-1, 2
Solve -136*d + 15*d**4 + 36*d + 416*d**3 - 180*d**2 - 451*d**3 = 0.
-2, -2/3, 0, 5
Suppose 2*i + 10 = 2. Let a be (5/10)/((-1)/i). Solve -27/4*l**a - 3/4*l**4 - 15/4*l**3 - 3/2 - 21/4*l = 0.
-2, -1
Solve -14 + 47*a - 98*a + 16*a**2 + 4*a**3 - 2 + 47*a = 0 for a.
-4, -1, 1
Let y be (3/4)/(8 + 116/(-16)). Let k be -2*6/30 + y. Suppose -k*j**2 + 3/5*j + 6/5 = 0. What is j?
-1, 2
Suppose -5*c = -9*c. Let x(d) be the second derivative of -1/3*d**3 - 1/90*d**5 + c*d**2 + 0 + 1/9*d**4 - d. Solve x(y) = 0.
0, 3
Let d(v) = -2*v**2 - 3*v. Let x(i) = -i**4 + i**3 + 15*i**2 + 11*i - 6. Let n(b) = 20*d(b) + 5*x(b). Solve n(l) = 0 for l.
-2, -1, 1, 3
Factor -2/3*k + 2/3*k**3 - 2 + 2*k**2.
2*(k - 1)*(k + 1)*(k + 3)/3
Factor 6/7*t + 0 + 1/7*t**3 + t**2.
t*(t + 1)*(t + 6)/7
Let g(r) be the first derivative of r**4 - 4*r**3 + 4*r**2 + 273. Factor g(s).
4*s*(s - 2)*(s - 1)
Let p(k) be the third derivative of 5/24*k**4 - 1/6*k**5 + 0 + 0*k + 0*k**3 + 1/24*k**6 - 14*k**2. Factor p(n).
5*n*(n - 1)**2
Let x(o) = -o**2 - 7*o - 8. Let f(t) = t - 1. Let l be 10/4*((-152)/40 - -3). Let j(b) = l*x(b) - 2*f(b). Factor j(c).
2*(c + 3)**2
Let d = -2216 - -2218. Factor 1 - 1/2*c - 1/2*c**d.
-(c - 1)*(c + 2)/2
Factor -14*h**2 + 4 - h**3 - 35*h + 14*h + 5 + 27.
-(h - 1)*(h + 3)*(h + 12)
Let k(q) = -6*q**5 + 58*q**4 - 4*q**3 - 58*q**2 + 10*q - 14. Let g(d) = 2*d**5 - 20*d**4 + d**3 + 20*d**2 - 3*d + 5. Let n(y) = -14*g(y) - 5*k(y). Factor n(s).
2*s*(s - 4)*(s - 1)**2*(s + 1)
Find f such that 48/11 + 372/11*f + 90/11*f**2 = 0.
-4, -2/15
Let r(l) be the third derivative of l**7/21 + 23*l**6/20 - 19*l**5/30 - 23*l**4/4 + 14*l**3/3 - 2*l**2 - 7. Let r(n) = 0. Calculate n.
-14, -1, 1/5, 1
Let f = 2/29359 + 58712/88077. Factor -f*t**3 + 2 + 2/3*t**2 + 10/3*t.
-2*(t - 3)*(t + 1)**2/3
Let u(l) be the third derivative of -l**8/112 - l**7/7 - 7*l**6/10 - l**5/2 + 29*l**4/8 + 10*l**3 + 9*l**2 - 10. Let u(a) = 0. What is a?
-5, -4, -1, 1
Suppose -8*v + 62 = -2. Let w(m) be the third derivative of 0 + 1/24*m**4 + 0*m**3 + 1/40*m**5 + v*m**2 + 0*m + 1/240*m**6. What is p in w(p) = 0?
-2, -1, 0
Let o(q) = 3*q**2 + 17*q + 28. Let d be o(-4). Suppose -110/7*c**3 + 12/7*c**2 - 16/7 - 