5*s**5 + 0*s + 0*s**3 - 1/200*s**6. Factor f(o).
-3*o*(o + 2)**2/5
Let m(y) be the first derivative of -y**6/120 - 3*y**5/80 + y**3/6 + 16*y - 27. Let g(t) be the first derivative of m(t). Find l, given that g(l) = 0.
-2, 0, 1
Factor 37*w**3 + 66*w**2 - 26*w**3 + 33*w + 20 + 47*w + 12 + 9*w**3 + 2*w**4.
2*(w + 1)**2*(w + 4)**2
Let q(s) = -10*s**3 - 1. Let o(b) = -7*b**4 - 43*b**3 - 52*b**2 + 12*b - 8. Let i(h) = -5*o(h) + 40*q(h). Factor i(m).
5*m*(m - 3)*(m - 2)*(7*m - 2)
Let p(l) be the first derivative of 2*l**5/15 - l**4/2 - 56*l**3/9 + 1303. Let p(k) = 0. Calculate k.
-4, 0, 7
Let f(u) be the second derivative of -11 + 11/21*u**4 + 50/7*u**2 - 2*u - 1/35*u**5 - 10/3*u**3. Factor f(b).
-4*(b - 5)**2*(b - 1)/7
Let b be 2 - (2 + (-3)/6*4). Suppose -7 = -5*i + 8. Factor 7*o**3 - 6*o**b + 5*o**2 - 6*o**i.
o**2*(o - 1)
Let q be -1*(-2 + 2) - -2. Suppose 12 = q*a + a. Find f, given that -1657*f**4 + 6615*f**3 - 120 - 58*f**a + 266*f + 1256*f - 4830*f**2 - 222*f = 0.
2/7, 3
Let q be 6/(-22) - 1512/(-5544). Factor 1/7*c**2 - 1/7*c + q.
c*(c - 1)/7
Factor 82/7*w - 2/7*w**2 - 68.
-2*(w - 34)*(w - 7)/7
Let h(b) be the first derivative of b**8/2240 - b**7/560 - b**6/480 + b**5/80 - 112*b**3/3 - 143. Let a(v) be the third derivative of h(v). Factor a(d).
3*d*(d - 2)*(d - 1)*(d + 1)/4
Let h(x) = -x**3 + 3*x**2 + 12*x - 8. Suppose -q + 0 = -5. Let m be h(q). Find g such that m*g**2 + 3*g**3 - 285 + 285 - g**3 = 0.
-1, 0
Let h(q) be the second derivative of 1/4*q**5 + 3/8*q**4 + 0 - 21*q - 33/2*q**2 - q**3. Let n(f) be the first derivative of h(f). Suppose n(v) = 0. What is v?
-1, 2/5
Let u = -3001374/7 - -427939. Let x = u - -829. Find b such that 0 - x*b**5 + 2/7*b**4 + 4/7*b - 10/7*b**2 + 6/7*b**3 = 0.
-2, 0, 1
Let b(a) be the third derivative of -1/8*a**4 - 1/40*a**6 + 2 + 0*a + 0*a**3 - 47*a**2 + 1/10*a**5. Suppose b(u) = 0. What is u?
0, 1
Let p be (-10 + ((-5)/2)/(140/(-336)))/(-2). Find b such that 1/2*b**5 - 1/2*b**4 - 5/2*b**3 + 4*b + 1/2*b**2 + p = 0.
-1, 2
Suppose -4*r + 3*w = 11, 3*r - 4*w = 6 - 23. Let u be r*2/6*(-7 - -7). Find x, given that u + 32/5*x**2 - 4/5*x = 0.
0, 1/8
Let t be 230691/4109 - (-4)/21. Factor -26/3*n + t + 1/3*n**2.
(n - 13)**2/3
Factor 312/5*i - 2/5*i**2 + 0.
-2*i*(i - 156)/5
Let x(b) = b**2 + 25*b + 33. Let y be x(-24). Let f = y - 2. Factor -6*d + 4*d**4 + 4*d**5 + 5*d - 20*d**2 - f*d - 12*d**3.
4*d*(d - 2)*(d + 1)**3
Let g = 78 + 489. Factor -y**2 + 7*y - 3*y - 2*y + g - 568.
-(y - 1)**2
Suppose 4*l = -203 + 215. Let k(r) be the third derivative of 0*r**l + 0 - 1/72*r**4 - 14*r**2 + 0*r + 1/180*r**5. Factor k(f).
f*(f - 1)/3
Let s(b) = -8*b**3 + 211*b**2 + 200*b - 378. Let h(t) = -22*t**3 + 632*t**2 + 600*t - 1140. Let n(a) = 5*h(a) - 14*s(a). Solve n(j) = 0.
-102, -2, 1
Let u(r) be the third derivative of -2*r**7/21 + 53*r**6/30 - 36*r**5/5 + 14*r**4/3 + 64*r**3/3 - 1147*r**2. Let u(v) = 0. Calculate v.
-2/5, 1, 2, 8
Let n(x) = 587*x**2 - 581*x + 9. Let j(z) = -294*z**2 + 290*z - 5. Let w(t) = -5*j(t) - 3*n(t). Suppose w(c) = 0. Calculate c.
2/291, 1
Let j(d) = 5*d**3 - 77*d**2 - 1224*d + 1296. Let k(q) = -3*q**3 - 1296 - 139*q - 7*q**2 + 13*q**2 + 1363*q + 69*q**2. Let b(s) = 4*j(s) + 6*k(s). Factor b(c).
2*(c - 1)*(c + 36)**2
Suppose 7*o - 4*h - 136 = 0, -115*o + 4*h = -110*o - 88. Factor o + 4/3*k**4 - 100*k + 13*k**3 + 38/3*k**2.
(k - 2)*(k + 6)**2*(4*k - 1)/3
Factor 379 + 10*h**2 + 3400*h**3 - 6789*h**3 + 308*h**2 + 239 + 933*h + 3392*h**3.
3*(h + 1)*(h + 2)*(h + 103)
Factor 0 - 1/2*u**3 - 24649/2*u - 157*u**2.
-u*(u + 157)**2/2
Suppose 4*d = 9*r - 117, 5*r = 3*d + 3*r + 26. Suppose 1/2*k**5 + d + 3*k**4 + 6*k**2 + 2*k + 13/2*k**3 = 0. Calculate k.
-2, -1, 0
Let p be 13 - 33/((-660)/(-160)). Let s(k) be the first derivative of 8/3*k**3 + 23 - 8*k - 10*k**2 + p*k**4. Let s(y) = 0. What is y?
-1, -2/5, 1
Factor f**2 - 119*f - 827 - 1005 + 1950.
(f - 118)*(f - 1)
Suppose 3*h - 26*y = -30*y - 18, -h - 16 = 3*y. Find f such that 54*f + 6 + 243/2*f**h = 0.
-2/9
Suppose -v + 0 = -4. Suppose 98988*p = 98986*p + 10. Determine a so that -1/5*a**v + 9/5*a**3 - 2/5*a**2 + 0 - 12/5*a**p + 0*a = 0.
-1, 0, 1/4, 2/3
Let a be (-4876)/414 - (2 + (7 - 21)). Suppose -2/3*q + a*q**2 + 0 = 0. What is q?
0, 3
Let j(p) be the first derivative of -p**5/100 - 77*p**4/20 - 5929*p**3/10 - 59*p**2 + 275. Let m(k) be the second derivative of j(k). Factor m(h).
-3*(h + 77)**2/5
Let r(z) = z**4 - z**3 - 2*z + 2. Let j(k) = k**2. Let f(l) = -l**4 + 4*l**2 + 3*l - 3. Let b(v) = -f(v) + 4*j(v). Let t(p) = -2*b(p) + 3*r(p). Factor t(x).
x**3*(x - 3)
Suppose 40*n = 34*n + 24. Find f such that -4*f**3 + 4 + 5*f - f**n + 19*f**2 - 30*f**2 - f**3 + 8*f**2 = 0.
-4, -1, 1
Let f(x) be the first derivative of 5*x**4/4 - 250*x**3/3 + 750*x**2 + 45000*x - 1899. Suppose f(b) = 0. Calculate b.
-10, 30
Suppose 0 = 3*o, -4*o + o - 15 = -3*l. Let m(v) = 7*v**2 - 17*v + 20. Let r(b) = -6*b**2 + 16*b - 18. Let u(c) = l*r(c) + 4*m(c). Factor u(t).
-2*(t - 5)*(t - 1)
Let t(d) be the first derivative of d**4/4 + 157*d**3/3 + 3528*d**2 + 67392*d - 8896. Find c, given that t(c) = 0.
-72, -13
Factor 145 - 8 + 107 + 36*q - 47 - 2*q**2 + 33.
-2*(q - 23)*(q + 5)
Factor 2/3*f**3 + 56 + 28/3*f**2 + 122/3*f.
2*(f + 3)*(f + 4)*(f + 7)/3
Let m be 2/(2 + 1500/(-751)). Let g be (-2 - 1) + 3 + m. Let 747*k**2 - 12 + 16*k - g*k**2 + 0 = 0. What is k?
1, 3
Let m(s) be the first derivative of -s**6/2 - 72*s**5/5 - 495*s**4/4 - 242*s**3 - 335. Factor m(z).
-3*z**2*(z + 2)*(z + 11)**2
Let u be ((-15)/9)/((-25)/285). Factor 79*t + 2*t**2 - 26*t + 10*t - u*t - 4 + 246.
2*(t + 11)**2
Suppose 2289 = 1185*i - 279 + 198. Suppose -3*u - 4*m + 36 = u, -5*m - 15 = -5*u. Factor -3/2*o**4 - u*o - 12*o**i + 0 - 15/2*o**3.
-3*o*(o + 1)*(o + 2)**2/2
Let y(u) = 3*u**2 - 291*u + 96. Let r(i) = 17*i - 1. Let d(n) = -15*r(n) - y(n). Let d(o) = 0. Calculate o.
3, 9
Let v(c) = 22*c - 636. Let o be v(29). Factor -44/7*y**o - 104/7*y + 0 + 4/7*y**3.
4*y*(y - 13)*(y + 2)/7
Suppose -12*t = 7*t - 266. Let f = 12 + -18. Let v(b) = 4*b**2 + 5. Let g(w) = 9*w**2 - w + 11. Let p(m) = f*g(m) + t*v(m). What is x in p(x) = 0?
-2, -1
Factor 0 + 112/3*s - 2/15*s**2.
-2*s*(s - 280)/15
Let y = 1/5049 + 15143/20196. Let m(j) be the second derivative of j + 3/10*j**5 + 0*j**2 - y*j**4 + 0*j**3 - 1/30*j**6 + 0. Factor m(b).
-b**2*(b - 3)**2
Let z = 944 - 942. Let s(v) be the second derivative of -z*v**2 + 0 + 1/3*v**4 + 1/3*v**3 + 4*v - 1/10*v**5. Determine t, given that s(t) = 0.
-1, 1, 2
Suppose -5*y = 33065 - 33065. Let j(i) be the third derivative of y*i - 1/15*i**5 + 0*i**4 + 0 + 0*i**3 + 1/12*i**6 + 16*i**2. Factor j(u).
2*u**2*(5*u - 2)
Let j be (-35420)/(-4048) + (-5 - (0 - 4/4)). Let -j*b**4 - 3/2*b + 0 - 7/4*b**5 + 19/4*b**2 + 13/4*b**3 = 0. Calculate b.
-3, -1, 0, 2/7, 1
Let r(t) be the second derivative of -t**8/6720 - t**7/1260 + t**6/240 - 5*t**4/2 + t**3/3 - 52*t. Let z(l) be the third derivative of r(l). Factor z(s).
-s*(s - 1)*(s + 3)
Let g(q) be the first derivative of 2/3*q**3 + 18/5*q - 18/5*q**2 - 69. Factor g(i).
2*(i - 3)*(5*i - 3)/5
Let z(i) = 92*i**2 - 5453*i + 207088. Let v(y) = 84*y**2 - 5454*y + 207079. Let b(g) = -7*v(g) + 6*z(g). Factor b(h).
-(6*h - 455)**2
Suppose -264 + 278 = 7*o. Let c be o/(-5) + (-648)/420*-1. Factor -10/7*x - c*x**2 - 2/7*x**3 - 4/7.
-2*(x + 1)**2*(x + 2)/7
Solve 308/9*u**3 + 148/9 - 148/3*u**2 - 8/9*u**4 - 4/9*u = 0 for u.
-1/2, 1, 37
Suppose -1087 = -5*j + 53. Let f = j + -682/3. Factor 0 + f*n**4 + 1/3*n**3 + 1/3*n**5 + 0*n + 0*n**2.
n**3*(n + 1)**2/3
Factor -35*w - 33*w - 16*w + 12 - 4*w - 422*w**2 - 122*w**2.
-4*(4*w + 1)*(34*w - 3)
Let c(x) be the second derivative of -x**7/210 - 41*x**6/75 - 81*x**5/100 - 41*x + 3. Solve c(a) = 0 for a.
-81, -1, 0
Let u = 5099/10182 + -4/5091. Let l(j) be the first derivative of -10/3*j**3 + 7 + 10*j - u*j**4 + j**2. Let l(c) = 0. What is c?
-5, -1, 1
Factor -2*h + 16/7 - 2/7*h**2.
-2*(h - 1)*(h + 8)/7
Let c(p) = 11*p**2 + 664*p - 93019. Let f(w) = 31*w**2 + 1983*w - 279058. Let k(z) = -17*c(z) + 6*f(z). Factor k(x).
-(x - 305)**2
Suppose 74*c + 120 = 490. Suppose -2*v + c*j = -10, -5*v - 4*j - 59 = -51. Factor 2/15 + v*g - 2/15*g**2.
-2*(g - 1)*(g + 1)/15
Let i(w) = 7*w**4 + w**3 + 12*w**2. Let x(n) = -2*n**4 - n**3 - 3*n*