 Let m be f(-3). Factor 6*n**2 - 12 + 7*n**m - t*n**2.
3*(n - 2)*(n + 2)
Let p be (4/3)/(3/45). Let t be (-2)/((-48)/p) - 4/6. Factor 1/6*v**4 - 1/3 + t*v**2 + 1/2*v - 1/2*v**3.
(v - 2)*(v - 1)**2*(v + 1)/6
Let n(c) = -11*c**2 + 655*c - 2037. Let a(v) = 5*v**2 - 329*v + 1018. Let u(z) = -9*a(z) - 4*n(z). Factor u(d).
-(d - 338)*(d - 3)
Factor 498/5*r**3 - 17340 - 19647/5*r**2 - 3/5*r**4 - 16932*r.
-3*(r - 85)**2*(r + 2)**2/5
Suppose -3*q + 5*v - 7 = 0, -v - 13 = -3*q - 6*v. Let i(d) = -d**5 - 2*d**4 + 3*d**2 - 3. Let c(l) = -l**4 + l**2 - 1. Let f(m) = q*i(m) - 3*c(m). Factor f(j).
-j**4*(j - 1)
Suppose -16*m + 15 = -13*m. Suppose 4*h - m*h = -5. Factor 19*g**3 + 6*g**3 - 5*g**5 - h*g**2 - 40*g**3 - 15*g**4.
-5*g**2*(g + 1)**3
Let x(a) be the third derivative of -a**7/735 - a**6/60 - a**5/14 - 13*a**4/84 - 4*a**3/21 + 468*a**2. Factor x(i).
-2*(i + 1)**3*(i + 4)/7
Let a be (-8 - 840/(-119))*-3*(-304)/(-192). Suppose 2/17*u**3 + 792/17*u + a*u**2 + 1296/17 = 0. What is u?
-18, -2
Let v = -767784/55 - -153636/11. Solve -v*d + 14/5*d**2 - 18/5 = 0 for d.
-3/7, 3
Let q(n) be the second derivative of n**5/20 - 55*n**4/12 + 100*n**3 + 2250*n**2 + 3*n + 15. Factor q(x).
(x - 30)**2*(x + 5)
Let a(t) = -4*t**2 + 154*t + 296. Let f(x) = -7*x**2 + 155*x + 296. Let k(p) = -3*a(p) + 2*f(p). Determine l so that k(l) = 0.
-74, -2
Let i = 211 - 209. Factor -4*y**2 + 5*y**i + y**2 + 2*y - y**2.
y*(y + 2)
Suppose 0 = -4*g + 4*a, 2*g = 4*a - 8*a + 30. Factor 140*y**2 + 4*y**3 - 152*y**2 + g*y + 3*y.
4*y*(y - 2)*(y - 1)
Let r(n) be the third derivative of -83*n**2 + 0*n + 7/180*n**4 + 1/25*n**5 - 2/15*n**3 + 1/180*n**6 + 0. Suppose r(q) = 0. Calculate q.
-3, -1, 2/5
Let z be ((-7)/(-21))/(2/48). Suppose z - 28 = -4*g. Suppose -2*c**2 - g*c**3 + 7*c**2 + 18*c - 13*c - 5*c**4 = 0. Calculate c.
-1, 0, 1
Let d(t) be the third derivative of 110*t**2 + 0 - 1/1155*t**7 - 73/330*t**5 - 48/11*t**3 + 0*t + 7/330*t**6 + 14/11*t**4. Factor d(a).
-2*(a - 4)**2*(a - 3)**2/11
Let j(i) be the first derivative of i**6/120 + i**5/10 - 77*i**3/3 + 52. Let v(d) be the third derivative of j(d). Factor v(t).
3*t*(t + 4)
Find b, given that -1016/7*b - 129032/7 - 2/7*b**2 = 0.
-254
Let y = 54 + -50. Suppose -y*w = 5*l - 36, -4*l = -2*w - 0*w - 34. Solve 8*m + l*m + 2*m**3 - 18*m = 0.
-1, 0, 1
Suppose -5*a + 62*d = 57*d - 85, -5*a = 2*d + 13. Find i, given that i**a - 3/2*i**4 + 0 + 6*i**2 - 4*i = 0.
-2, 0, 2/3, 2
Factor 2/11*t**3 + 0 + 82/11*t**2 - 172/11*t.
2*t*(t - 2)*(t + 43)/11
Let q(h) be the second derivative of -h**4/9 - 58*h**3/9 - 92*h**2 + 1723*h. Factor q(w).
-4*(w + 6)*(w + 23)/3
Suppose 14 = -7*m + 182. Suppose 3*t - m = -5*i - 8, t - 12 = -3*i. Factor -5*p**3 - 3*p - 15*p**2 - i + 11*p - 23*p.
-5*(p + 1)**3
Let b be -12 + (-10 - (22 + -35)) + (2 - -7). Factor 51/7*w + b - 1/7*w**2.
-w*(w - 51)/7
Solve -92*u**3 + 9*u**5 + 6*u**5 - 38*u**4 + 0*u**5 + 26*u**2 - 49*u - 18*u**5 + 156*u**2 = 0 for u.
-7, 0, 1/3, 1
Let r(t) be the first derivative of t**7/42 - t**6/30 - 3*t**5/80 + t**4/24 + t**3/24 - 152*t + 108. Let p(b) be the first derivative of r(b). Factor p(k).
k*(k - 1)**2*(2*k + 1)**2/4
Let y = -65532 - -65539. Find i, given that y + 1/3*i - 7*i**2 - 1/3*i**3 = 0.
-21, -1, 1
Suppose -462 = -2*h + 254. Let j = 1792/5 - h. Solve -2/5*q**2 - 7/5*q + j + 7/5*q**3 = 0 for q.
-1, 2/7, 1
Let h(y) be the third derivative of y**6/1080 + 7*y**5/54 + 137*y**4/216 + 34*y**3/27 + 30*y**2 - 2. Factor h(q).
(q + 1)**2*(q + 68)/9
Factor 1920996*t + 1/3*t**3 - 887500152 - 1386*t**2.
(t - 1386)**3/3
Let l(m) be the third derivative of -m**5/60 - 5*m**4/3 - 77*m**3/2 - 1150*m**2. Factor l(k).
-(k + 7)*(k + 33)
Let c(j) = 596*j - 14299. Let t be c(24). Let 7/6*m**t + 3*m - 25/6*m**3 + 61/6*m**4 + 0 - 61/6*m**2 = 0. Calculate m.
-9, -1, 0, 2/7, 1
Let b(l) be the second derivative of -2*l**6/75 - 28*l**5/25 + 89*l**4/5 - 492*l**3/5 + 1296*l**2/5 + 27*l - 10. Determine z so that b(z) = 0.
-36, 2, 3
Suppose 5*n - 29 = -2*t, 48*n = -2*t + 50*n - 6. Find l such that 0*l + 2/15*l**3 - 2/5*l**t + 0 = 0.
0, 3
Let r(t) = -t**2 + 12*t - 20. Suppose b = 3 - 4. Let y be ((-1)/2)/(b - 9/(-8)). Let a(q) = q - 1. Let k(m) = y*a(m) + r(m). Let k(n) = 0. What is n?
4
Let u(n) be the first derivative of 5*n**3/3 + 175*n**2/2 + 170*n + 2764. Factor u(h).
5*(h + 1)*(h + 34)
Suppose -z - 855 = -6*z. Let j be 6/(-8) - (-380)/80. What is m in 327*m - 164*m - z*m - j*m**2 = 0?
-2, 0
Suppose 5*s - 13*z + 18*z = -30, 5*s - 2*z - 12 = 0. Let u(n) be the third derivative of -7/90*n**5 - 11/12*n**4 + 10/9*n**3 + 0*n - 5*n**2 + s. Factor u(d).
-2*(d + 5)*(7*d - 2)/3
Let h(k) be the third derivative of -k**8/672 + k**7/42 - 11*k**6/120 + k**5/30 + 23*k**4/48 - 7*k**3/6 - 266*k**2 + k. Suppose h(x) = 0. What is x?
-1, 1, 2, 7
Let -2/3*h**3 - 268/3*h + 94/3*h**2 + 176/3 = 0. What is h?
1, 2, 44
Factor 0 + 8/7*g - 4/7*g**2.
-4*g*(g - 2)/7
Determine b so that 1560/7 + 236/7*b - 4/7*b**2 = 0.
-6, 65
Let r = 20 + -337/17. Let m(c) be the first derivative of -r*c**2 + 2/17*c - 1/34*c**4 + 2/17*c**3 - 5. Determine s, given that m(s) = 0.
1
Let t = -1899545/2 + 949783. Factor 10*k**2 + 1/2*k**4 + 0 + t*k**3 + 0*k.
k**2*(k + 1)*(k + 20)/2
Find j, given that -270/7 + 292/7*j**2 + 4/7*j**3 + 2/7*j**5 - 22/7*j**4 - 6/7*j = 0.
-3, -1, 1, 5, 9
Let a(r) = -2*r**2 + 4*r + 4. Let v(x) = x**3 - 55*x**2 + 1339*x - 7593. Let z(p) = -6*a(p) - v(p). Factor z(g).
-(g - 29)**2*(g - 9)
Let f = 246737/616830 + -1/123366. Let -f*s**2 - 18/5 + 4*s = 0. What is s?
1, 9
Let z = -3239 + 3244. Let a(v) be the first derivative of -4/3*v**3 + 4/5*v**z + 0*v + 11 + 0*v**2 + 0*v**4. Factor a(h).
4*h**2*(h - 1)*(h + 1)
Suppose -7 - 5 = -4*f. Let -8*t**3 + 4*t**3 + 6*t**3 + 3*t**3 - t**4 - 9*t - f*t**2 = 0. What is t?
-1, 0, 3
Let z be (-5)/30 - 501/18. Let a = z + 46. Suppose 4*q**4 + 47*q**2 - a*q - 2*q**3 - 8*q**2 - 22*q**3 - q**4 = 0. Calculate q.
0, 1, 6
Let y(l) = l**3 + 24*l**2 + 14*l + 21. Let h be y(-23). Factor 222 - h - 4*f + 4*f + 5*f + f**2.
(f - 1)*(f + 6)
Let u(x) be the first derivative of -3*x**5/40 - 5*x**4/4 + 11*x**3/4 + 62*x - 52. Let n(o) be the first derivative of u(o). Factor n(p).
-3*p*(p - 1)*(p + 11)/2
Let b = 21566 + -323489/15. Let n(v) be the third derivative of b*v**5 + 28*v**2 + 0*v + 0 - 1/2*v**4 + 0*v**3. Factor n(t).
4*t*(t - 3)
Suppose -4*s = 56, -10*s + 7*s - 34 = 4*h. Let 4/3*x**4 - 76*x**h - 80/3 - 236/3*x - 68/3*x**3 = 0. Calculate x.
-1, 20
Let p(m) = m**3 - m - 1. Let w be 14 - 2 - (0 - -3). Let q(t) = -8*t**2 + 11 + 31*t**4 - 6 - 4*t**3 - 28*t**4 + w*t. Let g(o) = 20*p(o) + 4*q(o). Factor g(z).
4*z*(z - 1)*(z + 2)*(3*z - 2)
Suppose -5100 = -128*t - 4460. Find w such that 0 + 9/8*w**t - 3/4*w**2 - w**3 - 1/8*w + 3/4*w**4 = 0.
-1, -1/3, 0, 1
Let z(g) be the third derivative of 0 - 27*g**2 + 0*g + 0*g**3 + 1/15*g**5 + 1/30*g**6 + 0*g**4. Solve z(r) = 0 for r.
-1, 0
Factor 0 + 262/9*f**3 + 2/9*f**4 - 88/3*f**2 + 0*f.
2*f**2*(f - 1)*(f + 132)/9
Let v(r) = -r**2 + 2*r + 187. Let n(i) = -i**2 + 2*i + 1. Let y(u) = 2*n(u) + v(u). Factor y(s).
-3*(s - 9)*(s + 7)
Let q = -225151/32 + 7036. Let c(k) be the third derivative of -q*k**4 + 3*k**2 + 0 + 7/480*k**6 + 1/420*k**7 + 1/120*k**5 + 0*k**3 + 0*k. Factor c(z).
z*(z + 1)*(z + 3)*(2*z - 1)/4
Let w(x) = 11*x**2 + 13*x**2 - 11 + 286*x - 270*x - 9. Let o(l) = -l**2 + l - 1. Let m(y) = 20*o(y) + w(y). Let m(c) = 0. Calculate c.
-10, 1
Let r(a) = -7*a + 12 + 17*a - 34 - 10. Let d be r(10). Factor 11*j**2 - d + 3*j + 73 + 9*j**2 - 28*j.
5*(j - 1)*(4*j - 1)
Let m = 13 + -13. Suppose -5*s + 3*d - 1 = 0, 329*d + 9 = -3*s + 332*d. Factor 0 + 1/12*c**2 - 1/6*c**3 + 1/12*c**s + m*c.
c**2*(c - 1)**2/12
Let v(y) = -10*y - 77. Let w be v(-8). Factor 262*o**5 - 257*o**5 - 19*o - 50*o**4 - 200*o**2 + 99*o + 165*o**w.
5*o*(o - 4)**2*(o - 1)**2
Let u(k) be the first derivative of k**5/10 + 11*k**4/8 - 20*k**3/3 + 7*k**2 + 101. Factor u(m).
m*(m - 2)*(m - 1)*(m + 14)/2
Determine d, given that -1275*d - 96 + 94183*d**2 - 357*d**3 - 95635*d**2 - 249*d = 0.
-2, -8/119
Let g(b) be the first derivative of -b**4/9 + 40*b**3/9 + 14*b**2 + 128*b/9 - 447. Determine v so that g(v) = 0.
-1, 32
Suppose -5*y = -2*x + 73, 0 = -0*x + 3*x - 5*y - 97. Factor -5*z**4 - 12*z**3 - 4*z**4 - x*z**2 + 4*z**4 + 32*z