 - 8*j/3 - 22. Factor c(v).
-4*(v - 2)*(v - 1)*(v + 1)/3
Suppose -78*b - 299 = -455. Factor 0*d + 2/9*d**4 + 0 - 2/9*d**b + 0*d**3.
2*d**2*(d - 1)*(d + 1)/9
Suppose -14*p + 10*p = -664. Find g, given that p*g**3 - 89*g**3 - 81*g**3 - 16*g - 48 + 28*g**2 = 0.
-1, 2, 6
Let s(t) be the first derivative of 3*t**4/16 + 3*t**3/2 - 24*t - 12. Factor s(d).
3*(d - 2)*(d + 4)**2/4
Let p be (-12)/(-18) + -1 + (-132)/9. Let n be (3 - (-54)/p)/((-3)/2). Factor -1/5*c - n + 1/5*c**3 + 2/5*c**2.
(c - 1)*(c + 1)*(c + 2)/5
Let d = 215 - 215. Suppose 0 = -3*r + 8*r + 3*p - 18, d = r + 2*p - 5. Suppose 1/2*y**r - 3/2*y**2 - 1/2*y + 3/2 = 0. Calculate y.
-1, 1, 3
Let m(o) be the first derivative of -o**6/25 + 3*o**5/100 + o**4/4 + o**3/5 - 19*o + 4. Let f(n) be the first derivative of m(n). Solve f(k) = 0 for k.
-1, -1/2, 0, 2
What is t in 0 + 2/5*t**2 - 58/5*t = 0?
0, 29
Solve 4623*z**5 - 15*z**3 - 6*z**4 + 18*z**2 - 2308*z**5 - 2312*z**5 = 0.
-2, 0, 1, 3
Let r be 72/(-45)*10/(-4). Let f(y) = -y**4 - y**2 - y + 1. Let g(t) = -t**5 + 14*t**4 - 2*t**3 + 11*t**2 + 11*t - 11. Let b(a) = r*g(a) + 44*f(a). Factor b(q).
-4*q**3*(q - 2)*(q - 1)
Let k = -245 - -245. Let o(n) be the first derivative of 0*n + 2 + 1/10*n**4 + k*n**2 - 2/15*n**3. Find h such that o(h) = 0.
0, 1
Let y(v) = v**3 + v**2 + 6*v + 18. Let d be y(-2). Factor -2/7*i**d + 6/7 - 4/7*i.
-2*(i - 1)*(i + 3)/7
Suppose 19*r - 10 = 17*r. Suppose 7 = r*d + a, -10*a = d - 7*a + 7. Let -2/11*c**d + 4/11 - 2/11*c = 0. Calculate c.
-2, 1
Let h(w) = -5 - 12*w + 10*w - 3. Let p be h(-8). Factor 31*g**2 - 3*g**2 - 2 - p*g + 2.
4*g*(7*g - 2)
Let -84*n**3 + 4*n**5 - 1364*n**2 + 64*n + 16*n**3 + 1296*n**2 + 4*n**4 + 64 = 0. What is n?
-4, -1, 1, 4
Let i(p) be the first derivative of -2*p**5/25 - 3*p**4/5 - 22*p**3/15 - 6*p**2/5 + 47. Determine c, given that i(c) = 0.
-3, -2, -1, 0
Let c be (2/(-6))/((-2238)/558 - -4). What is u in 19*u - 22*u**2 - 2*u**2 - c*u - 15*u**3 - 3*u**4 = 0?
-2, -1, 0
Let g(v) be the third derivative of -1/280*v**6 + 0*v + 11*v**2 + 0*v**4 + 0*v**3 + 1/140*v**5 + 0. Factor g(q).
-3*q**2*(q - 1)/7
Determine r, given that -272/9*r**2 - 458/9*r**3 - 8*r**5 - 58/9*r - 104/3*r**4 - 4/9 = 0.
-2, -1, -1/6
Let v be ((-15)/(-5) + -12)*1 + (-329)/(-35). Factor 4/5*y**3 + 2/5 + 0*y**2 - 4/5*y - v*y**4.
-2*(y - 1)**3*(y + 1)/5
Let z be (105/(-175))/(14/(-1000)). Solve 60/7*o - 3/7*o**2 - z = 0 for o.
10
Let k = 4257 + -4254. Determine l, given that 7/5*l**2 + 0 - 3/5*l**k - 7/5*l**4 - 2/5*l + l**5 = 0.
-1, 0, 2/5, 1
Let l = -5753/2 - -2878. Determine w so that -l + w + 1/2*w**2 = 0.
-3, 1
Let w(h) be the third derivative of h**7/84 - 167*h**6/240 + 627*h**5/40 - 7381*h**4/48 + 1331*h**3/6 - 13*h**2 + 3. Let w(i) = 0. What is i?
2/5, 11
Let r = -13 + 15. Factor -12*s**3 + 0*s**r - 6*s**2 - 8*s + 14*s**3.
2*s*(s - 4)*(s + 1)
Let 25/2*t**3 + 0 - 9/2*t**4 + 21*t**2 + 4*t = 0. What is t?
-1, -2/9, 0, 4
Suppose -2*j - 2 = -3*j. Suppose 0 = -2*r + r + j. Suppose -2*a**3 + 6*a**r + 4*a**4 - 6*a**4 + 2*a + 0*a**4 - 4 = 0. Calculate a.
-2, -1, 1
Suppose -4*o - 26 = -5*w, 20 = -2*o - 3*o. Let s(j) = -3*j**2 - j + 7. Let l(h) = h**2 + h + 1. Let x(a) = w*l(a) + 2*s(a). Factor x(y).
-4*(y - 2)*(y + 2)
Let p(l) be the second derivative of l**7/1260 + l**6/720 - l**5/360 - l**4/144 - l**2/2 - 2*l. Let y(f) be the first derivative of p(f). Factor y(s).
s*(s - 1)*(s + 1)**2/6
Suppose 3*g = 3*u + 6, 4*g + u + 8 = 21. Suppose 5*t - g*p - 9 = 0, 0*p = -4*t + 2*p + 6. Find w such that 0*w**4 + 0*w + t*w**2 + 0 + 2/7*w**3 - 2/7*w**5 = 0.
-1, 0, 1
Let w = 48 - -11. Let l = w + -57. Solve -2/7*j**l + 12/7*j - 18/7 = 0.
3
Let a = -2508 + 7528/3. Factor 2/3*s**3 + 2/3*s - a*s**2 + 0.
2*s*(s - 1)**2/3
Let y(g) be the third derivative of -g**9/70560 - g**8/70560 - g**5/60 + 8*g**2. Let o(u) be the third derivative of y(u). Factor o(s).
-2*s**2*(3*s + 1)/7
Let -55 - 2*t**2 + 62*t - 43*t + 23*t - 21 = 0. Calculate t.
2, 19
Let l be (44/16 - 3)*-20. Suppose -5 = -l*b + 20. Let 4*k**2 + 0*k**2 + 5 - 4*k - b = 0. Calculate k.
0, 1
Let 21*k**3 - 1/2 - 5/3*k**2 - 115/6*k**4 + 25/6*k**5 - 23/6*k = 0. Calculate k.
-1/5, 1, 3
Let n(k) = k**3 + k. Let t be n(1). Suppose -3*p - p**t + 0 + 6*p + 0*p - 2 = 0. Calculate p.
1, 2
Let g = -1593 + 7971/5. Factor 3/5*j - 3/5*j**2 + g.
-3*(j - 2)*(j + 1)/5
Let i(q) = -2*q**3 - 16*q**2 + 2*q + 11. Let d(m) = -9*m**3 - 66*m**2 + 9*m + 45. Let y(t) = -5*d(t) + 21*i(t). Determine x, given that y(x) = 0.
-1, 1, 2
Let r = 30 + -27. Factor r*v - 10 - 5*v**2 - 9*v - 9*v.
-5*(v + 1)*(v + 2)
Let r(a) be the first derivative of 2*a**6/27 - 16*a**5/45 - a**4/9 + 16*a**3/27 + 386. What is f in r(f) = 0?
-1, 0, 1, 4
Let n(b) = 36*b + 2126. Let z be n(-59). Suppose -2/5 + 1/5*o**4 - o - 2/5*o**5 + 7/5*o**3 + 1/5*o**z = 0. What is o?
-1, -1/2, 1, 2
Determine c, given that -5*c - 213 + 92*c - 10*c - 27 + 18*c - 5*c**2 = 0.
3, 16
Find f such that 13/6*f**4 + 2*f**5 + 40/3*f - 8*f**2 - 34/3*f**3 - 8/3 = 0.
-2, 1/4, 2/3, 2
Suppose 5*v = 2*u - 3, -2*v - 2*u + 3 = -7*u. Let s be v*3/6*-10. Factor -14*g - 2*g + 2*g**2 - 9*g**3 + 14*g**2 + s*g**3.
-4*g*(g - 2)**2
Let r(k) be the second derivative of -k**8/672 + k**6/60 - k**5/60 - k**4/16 + k**3/6 + 3*k**2/2 - 2*k. Let x(m) be the first derivative of r(m). Factor x(u).
-(u - 1)**3*(u + 1)*(u + 2)/2
Let a(m) = 56*m + 208. Let x(l) = -l**2 + 57*l + 210. Let w(p) = -3*a(p) + 4*x(p). Let w(d) = 0. Calculate d.
-3, 18
Let p(q) be the second derivative of -q**4/12 + q**2/2 + 17*q. Suppose 24 + 81 = 5*b. Let y(o) = 8*o**2 - 4*o - 4. Let h(k) = b*p(k) + 3*y(k). Factor h(t).
3*(t - 3)*(t - 1)
Solve 0*z + 0 - 33/2*z**2 - 3/4*z**4 + 39/4*z**3 = 0.
0, 2, 11
Suppose 16*m - 14 = 9*m. Factor 6 - 7*p**2 + p**2 + 2*p - 2 - 2*p**3 + 2*p**m.
-2*(p - 1)*(p + 1)*(p + 2)
Let u(g) be the second derivative of g**5/5 + 22*g**4/3 - 50*g**3/3 - 92*g**2 - 3*g - 3. Factor u(z).
4*(z - 2)*(z + 1)*(z + 23)
Let c(f) be the first derivative of -f**9/7560 + f**8/4200 + f**7/2100 - f**6/900 - 10*f**3 + 20. Let w(g) be the third derivative of c(g). Factor w(p).
-2*p**2*(p - 1)**2*(p + 1)/5
Let r be (-36)/6 - ((-275)/20 + 7). Solve -1/4*d**2 + r + 1/2*d = 0.
-1, 3
Suppose 0 = 4*i - 6*i + 24. Let s = i - 8. Factor -v**3 - 4*v**s - v**5 + 0*v**4 + 6*v**4.
-v**3*(v - 1)**2
Let x(l) be the first derivative of l**2 + 1/6*l**4 + 2/3*l**3 + 9 + 2/3*l. Factor x(u).
2*(u + 1)**3/3
Let s(i) be the third derivative of 2/105*i**7 + 0 + 0*i + 8/3*i**3 - 2*i**4 - 6*i**2 + 13/15*i**5 - 1/5*i**6. Factor s(u).
4*(u - 2)**2*(u - 1)**2
Let i = -223199/180 + 1240. Let f(q) be the third derivative of 1/36*q**4 - 1/18*q**3 + 0*q + 0*q**5 + 0 + 5*q**2 - i*q**6 + 1/630*q**7. Factor f(s).
(s - 1)**3*(s + 1)/3
Let u(o) be the third derivative of -6*o**2 + 0*o - 1/42*o**7 + 1/12*o**5 + 0 + 5/24*o**4 - 1/24*o**6 + 0*o**3. Suppose u(r) = 0. What is r?
-1, 0, 1
Let d(t) be the second derivative of -1/36*t**4 + 0*t**2 - 1/9*t**3 + 0 + 10*t. Factor d(y).
-y*(y + 2)/3
Let y = 65 - 65. Let k be 2 + -1 + y - (0 - 3). Let 0*s - 6/5*s**k - 2/5*s**3 + 0 + 4/5*s**2 = 0. Calculate s.
-1, 0, 2/3
Let l(n) be the first derivative of -6 + 32*n + 2/3*n**3 - 8*n**2. Factor l(z).
2*(z - 4)**2
Factor 1/4*n**4 + 64 + 17/2*n**3 + 321/4*n**2 + 136*n.
(n + 1)**2*(n + 16)**2/4
Let n = 4225/3 + -1401. Factor -8*w + n*w**2 + 2/3.
2*(w - 1)*(11*w - 1)/3
Determine d so that -11552/11 - 304/11*d - 2/11*d**2 = 0.
-76
Factor -6 - 2/5*s**2 - 32/5*s.
-2*(s + 1)*(s + 15)/5
Let z(x) = -2*x**3 - 55*x**2 - 31*x - 106. Let t be z(-27). Factor 5*f**t - 25/3*f + 10/3 - 5/3*f**4 + 5/3*f**3.
-5*(f - 1)**3*(f + 2)/3
Let s(t) = -144*t**3 + 44*t**2 + 104*t + 20. Let r(n) = 433*n**3 - 131*n**2 - 312*n - 58. Let y(c) = -6*r(c) - 17*s(c). Solve y(q) = 0.
-2/3, -2/25, 1
Let h(o) be the third derivative of o**6/900 - o**4/45 + 2*o**2 + 3*o. Determine y so that h(y) = 0.
-2, 0, 2
Suppose 26*a - 33*a + 330 = 59*a. Solve -3*p**4 + 3/2 + 3/4*p**a + 3*p**3 + 3/2*p**2 - 15/4*p = 0.
-1, 1, 2
Let p = 119 + -117. Suppose -8*b**3 - 1995*b**4 - b**5 + 6*b**2 + 2000*b**4 - p*b**2 = 0. Calculate b.
0, 1, 2
Let s be (25 - (-278)/(-11))*66/(-4). What is a in 0 + 3/4*a**3 - 21/4*a - s*a**2 = 0?
-1, 0, 7
Determine h so that -108*h + 2916 + 87*h + h**2 - 87*h = 0.
54
Factor 4*o**2 + 4*o**5 + 0*o**2 - 4