-u**5/25 - 7*u**4/20 - 4*u**3/5 + 2*u**2/5 + 16*u/5 - 220. Factor w(p).
-(p - 1)*(p + 2)**2*(p + 4)/5
Suppose 13 = 7*i - 1. Factor -2*j + 175*j**3 - 173*j**3 - 8*j**i - 1 + 9.
2*(j - 4)*(j - 1)*(j + 1)
Let i(h) be the first derivative of 1/8*h**3 - 1/8*h**4 + 3 + 1/40*h**5 + 0*h**2 + 0*h. Solve i(s) = 0.
0, 1, 3
Let m(q) be the second derivative of q**6/120 - 9*q**5/40 + 17*q**4/16 + 35*q**3/12 - 312*q + 1. What is k in m(k) = 0?
-1, 0, 5, 14
Let h(v) be the third derivative of -v**5/20 + 1169*v**4/8 + 585*v**3 + 154*v**2 + 28. Factor h(s).
-3*(s - 1170)*(s + 1)
Factor 36/11 + 122/11*a - 14/11*a**2.
-2*(a - 9)*(7*a + 2)/11
Factor 9396*g**3 - 972*g**4 + 2816/3 + 18752/3*g + 13680*g**2.
-4*(g - 11)*(9*g + 4)**3/3
Factor 0 - 33124/3*r + 364/3*r**2 - 1/3*r**3.
-r*(r - 182)**2/3
Suppose 190*u = 144*u. Let m(t) be the first derivative of 9/10*t**2 - 2/5*t**3 + 14 + 1/20*t**4 + u*t. Factor m(c).
c*(c - 3)**2/5
Suppose -50*o - 4*o**3 + 1/2*o**4 - 26 - 57/2*o**2 = 0. Calculate o.
-2, -1, 13
Let h(u) be the third derivative of -u**5/40 + 51*u**4/4 + 205*u**3/4 + 1820*u**2. Suppose h(f) = 0. What is f?
-1, 205
Let g(c) be the third derivative of c**6/24 + 73*c**5/3 - 2935*c**4/24 + 245*c**3 + 1506*c**2. What is y in g(y) = 0?
-294, 1
Let o = 38071/89110 - -17/12730. Factor o*z**2 - 156/7 + 72/7*z.
3*(z - 2)*(z + 26)/7
Let s(i) = 4*i**4 + 5*i**3 - 30*i**2 - 19*i + 41. Let k(b) = -b**4 + b + 1. Suppose 2*g = -3*o - 2*g + 3, -5*g = -o + 1. Let u(x) = o*k(x) - s(x). Factor u(p).
-5*(p - 2)*(p - 1)*(p + 2)**2
Let t = 7465/238 + -2126/119. Factor 0*b + 1/8*b**3 + t - 9/8*b**2.
(b - 6)**2*(b + 3)/8
Determine m so that -49*m**3 - 1232*m**2 - 701/4*m - 25/4 = 0.
-25, -1/14
Let t = 8 + 45. Suppose -44*h + t*h - 27 = 0. Factor -w + 1 - 1/4*w**2 + 1/4*w**h.
(w - 2)*(w - 1)*(w + 2)/4
Suppose 42*m - 27378 = -27252. Factor 1805/4 + 195/4*f**2 - 1995/4*f - 5/4*f**m.
-5*(f - 19)**2*(f - 1)/4
Let w(i) be the second derivative of -i**7/14 + 47*i**6/10 - 81*i**5/4 + 133*i**4/4 - 22*i**3 + 53*i + 19. Factor w(u).
-3*u*(u - 44)*(u - 1)**3
Let l be (36/15)/(20/50). Suppose -l = k - 9. Factor -127*c + 147*c + 8*c**3 - k*c**3 + 25*c**2.
5*c*(c + 1)*(c + 4)
Let j(n) be the third derivative of n**5/80 + 289*n**4/16 + 48*n**2 - 27. Let j(q) = 0. Calculate q.
-578, 0
What is n in -1712*n**3 - 3*n**4 + 1724*n**3 - 2 + 3 + 132*n**2 - 288*n - 1 = 0?
-6, 0, 2, 8
Let o(j) be the first derivative of -5*j**2 - 7/3*j**3 + 126 - 1/4*j**4 + 0*j. Determine c, given that o(c) = 0.
-5, -2, 0
Let f = -6713 - -6715. Let u(s) be the third derivative of 0 + 1/10*s**6 + 0*s**7 + 1/4*s**4 - 1/168*s**8 - s**f + 0*s**3 + 2*s - 4/15*s**5. Factor u(b).
-2*b*(b - 1)**3*(b + 3)
What is x in -852/5 + 4/5*x**5 + 116*x - 276/5*x**4 - 584/5*x**3 + 1128/5*x**2 = 0?
-3, -1, 1, 71
Let p(i) = 4*i**2 + 82*i - 84. Let r be p(1). Let x(d) be the third derivative of 0*d**3 + 0*d + 0 - 5/156*d**4 - 12*d**r - 1/390*d**5. Factor x(g).
-2*g*(g + 5)/13
Solve 895/4*d - 88*d**2 + 35/4*d**3 - 25/2 = 0 for d.
2/35, 5
Let b(g) = 101*g**3 + 95*g**2 - 24*g - 4. Let c(f) = 54*f**3 - 4*f**3 + 21*f**2 + 0*f + 26*f**2 + 6*f - 2 - 19*f. Let z(y) = 4*b(y) - 7*c(y). Factor z(u).
(u + 1)*(6*u + 1)*(9*u - 2)
Solve -81/7*i**2 + 30/7*i + 9 - 12/7*i**3 = 0.
-7, -3/4, 1
Suppose 5*k = -265 + 295. Let r(n) be the second derivative of 5/12*n**3 + 19*n - 1/2*n**2 - 1/40*n**5 - 1/8*n**4 + 1/60*n**k + 0. Factor r(q).
(q - 1)**3*(q + 2)/2
Let f(c) = -4*c + 4 - 54*c**2 + 0*c + 53*c**2. Let r be f(-4). Factor 35*y**3 + y - 3*y + r*y**2 - 29*y**3.
2*y*(y + 1)*(3*y - 1)
Let q = 2/303233 + 87634331/909699. Factor q - 1/6*c**3 - 119/2*c + 6*c**2.
-(c - 17)**2*(c - 2)/6
Let b(k) be the first derivative of k**8/1008 - k**6/360 + 2*k**2 + 6*k + 48. Let i(w) be the second derivative of b(w). Factor i(y).
y**3*(y - 1)*(y + 1)/3
Let d = 14488 - 14484. Let g(l) be the first derivative of -3/2*l + 1/10*l**5 + 11/4*l**2 - 5 - 7/3*l**3 + 3/4*l**d - 1/12*l**6. Suppose g(v) = 0. What is v?
-3, 1
Suppose -4*c - 5*r = -59, r - 3 = -0. Suppose 5*j - d = c, 3*j - 3*d + 7 = d. Factor -k**j - 6 + 3*k**2 + 1 + 1.
-(k - 2)**2*(k + 1)
Let s(h) be the second derivative of -2 + 5*h + 1/110*h**5 + 0*h**3 + 1/22*h**4 + 0*h**2. Factor s(f).
2*f**2*(f + 3)/11
Let r(p) be the second derivative of -p**6/80 + 9*p**5/16 - 193*p**4/32 - 30*p**3 - 48*p**2 + 594*p. Find a such that r(a) = 0.
-1, 16
Let s be 168/16*(-62)/12. Let g = s + 1961/36. Find v such that 0 + g*v**2 + 0*v = 0.
0
Let d(l) be the third derivative of l**8/266 - 5*l**7/399 - 83*l**6/1140 - 13*l**5/190 + 11*l**4/228 + 4*l**3/57 - l**2 - 1513*l. Determine s so that d(s) = 0.
-1, -1/4, 1/3, 4
Determine h, given that 138 + 200*h - h**2 - h**2 - 28 - 502 = 0.
2, 98
Let g be (-2)/(-11) - (-56)/55. Let x = 1142085 + -1142085. Suppose x - 2/5*h**4 - 2/5*h**5 + 4/5*h + 2*h**2 + g*h**3 = 0. What is h?
-1, 0, 2
Factor -144/5*t - 1/5 - 5184/5*t**2.
-(72*t + 1)**2/5
Find a, given that -1/5*a**2 + 28/5*a - 27/5 = 0.
1, 27
Let q(c) be the third derivative of -c**7/3276 - 11*c**6/2340 - 7*c**5/260 - 125*c**4/24 - 137*c**2. Let v(w) be the second derivative of q(w). Factor v(b).
-2*(b + 3)*(5*b + 7)/13
Let x(s) be the third derivative of -8/3*s**3 + 35*s**2 - 53/15*s**5 + 7/30*s**6 + 100/21*s**4 + 0*s - 2. Solve x(o) = 0.
2/7, 7
Let k(x) = -x**2 - 2*x - 1. Let o be k(1). Let d be -3 + 3 + o/(-1). Factor -15*h + 11*h**3 + 4*h**3 + 10*h**d - 5*h**2 - 1247 + 1242.
5*(h - 1)*(h + 1)**2*(2*h + 1)
Factor 0 - 6/11*i**4 + 0*i - 3252/11*i**2 + 1638/11*i**3.
-6*i**2*(i - 271)*(i - 2)/11
Factor 790/3*u**4 + 62435840/3 - 5/3*u**5 + 223880/3*u**2 - 36860/3*u**3 + 12379520/3*u.
-5*(u - 58)**3*(u + 8)**2/3
Let s(a) be the third derivative of -2*a**5/5 - 23*a**4/24 + a**3/6 - 3*a**2. Let h(i) = -36*i**2 - 34*i + 2. Let d(n) = 5*h(n) - 7*s(n). Factor d(v).
-3*(v + 1)*(4*v - 1)
Let q(x) = 2*x**2 + 26*x - 26. Let m be q(-14). Factor -420*a - 3*a**m + 253*a + 29 + 25 + 218*a.
-3*(a - 18)*(a + 1)
Let k(s) be the third derivative of -s**7/42 + 53*s**6/24 - 225*s**5/4 - 1215*s**4/8 - 7543*s**2. Let k(b) = 0. Calculate b.
-1, 0, 27
Let q(h) be the third derivative of 0*h - 8/3*h**4 + 121/720*h**6 - 8*h**3 + 0 + 11/180*h**5 - 112*h**2. Find n, given that q(n) = 0.
-12/11, 2
Suppose 10*b + 67*b + 505 = 659. What is l in -1/2*l**b + 10 + 1/2*l = 0?
-4, 5
Let m(b) be the second derivative of -b**6/75 + 49*b**5/50 + 263*b**4/30 + 25*b**3 + 162*b**2/5 + 31*b - 14. What is n in m(n) = 0?
-3, -1, 54
Let l(m) be the first derivative of m**5/5 - 23*m**4/4 + 62*m**3/3 - 20*m**2 + 1383. Factor l(t).
t*(t - 20)*(t - 2)*(t - 1)
Let h = 1192/2253 + 457/1502. Factor h*b + 1/6*b**2 + 0.
b*(b + 5)/6
Let q be (506 + -562)*(1 - 19/16). Let -10 - q*s - 1/2*s**2 = 0. What is s?
-20, -1
Factor -885*o - 47*o**2 + 81*o**2 - 10*o**2 - 12*o**2 - 17*o**2.
-5*o*(o + 177)
Suppose -2*s = 2*h - 7 - 3, 2*s = 5*h + 31. Let d be (s + -5)*(-3)/6*-2. Factor -x + 2*x**d + 0*x**3 + 1 - x**4 - x + 0.
-(x - 1)**3*(x + 1)
Let u(g) be the second derivative of -3/4*g**3 + 3 + 0*g**2 + 1/40*g**5 + 3/16*g**4 - 1/120*g**6 - g. Find q such that u(q) = 0.
-3, 0, 2, 3
Let r be (4 + -21 - 1026/(-108))*6/(-15). Factor -2/3 + l**r - l + 1/3*l**2 + 1/3*l**4.
(l - 1)*(l + 1)**2*(l + 2)/3
Let a(s) = -s**3 - 15*s**2 + 18*s + 6. Let g be 9/(-33) + (-1638)/286. Let c(f) = -f**2 - 3*f - 1. Let u(k) = g*c(k) - a(k). Determine z so that u(z) = 0.
-21, 0
Let n(h) be the second derivative of 5*h**4/42 - 13*h**3/21 + 8*h**2/7 + 541*h. Solve n(d) = 0.
1, 8/5
Suppose -2*i - j - 421 = i, 0 = -3*i - 5*j - 437. Let u = 75 - i. Solve -104 + o**2 + u + 5*o - 104 = 0.
-3, -2
Let j(u) be the second derivative of -u**5/80 + 21*u**4/8 - 41*u**3/8 - 125*u**2/4 - 2*u + 332. Solve j(g) = 0 for g.
-1, 2, 125
Let b(m) = 2*m**3 - 510*m**2 - 15*m + 3829. Let g be b(255). Find k such that -2*k**2 - 6/5*k**g + 0 + 0*k - 2/5*k**5 + 18/5*k**3 = 0.
-5, 0, 1
Let m(i) be the first derivative of i**7/126 - 2*i**6/45 + i**5/12 - i**4/18 + 140*i - 162. Let b(z) be the first derivative of m(z). Find j such that b(j) = 0.
0, 1, 2
Let y = 93016 - 93008. Factor 2/5*m**3 + 68/5 + y*m**2 + 106/5*m.
2*(m + 1)*(m + 2)*(m + 17)/5
Let i(w) be the third derivative of -9/2*w**3 + 0*w + 11/16*w**4 - 1/40*w**5 + 0 - 122*w**2. Factor i(k).
-3*(k - 9)*(k - 2)/2
W