/90 + 151*l**4/54 - 50*l**3/9 - 3*l + 465. Factor x(j).
-2*j*(j - 150)*(j - 1)/9
Let k = -44557/65 + 9122/13. Factor -1/5*x**4 - k + 4*x**3 + 36*x - 118/5*x**2.
-(x - 9)**2*(x - 1)**2/5
Suppose -2*w - 4*v - 56 = 0, 14443 = -2*w + 4*v + 14499. Let 373/4*a**4 - 2601/2*a**3 - 338*a + w + 1547*a**2 - 7/4*a**5 = 0. What is a?
0, 2/7, 1, 26
Let d(b) be the first derivative of 31 + 0*b + 3/10*b**2 + 1/5*b**3. Factor d(w).
3*w*(w + 1)/5
Let 4/3*q + 8/3 + 2/3*q**4 + 1/3*q**5 - 5/3*q**3 - 10/3*q**2 = 0. Calculate q.
-2, -1, 1, 2
Suppose -r + 2 = -3*s, 2*s - 3*r = 36 - 42. Determine w so that s*w - 2*w**3 - 5/2*w**2 + 1/2*w**4 + 0 = 0.
-1, 0, 5
Let d be -15 + ((-531)/(-45) - -4). Let c(h) be the first derivative of 4/5*h**2 - 4/25*h**5 - 26 + d*h**4 + 0*h - 4/3*h**3. Find b, given that c(b) = 0.
0, 1, 2
Determine a so that -470450*a - 228168250/3 - 970*a**2 - 2/3*a**3 = 0.
-485
Let u(d) = 2*d**2 - 8*d. Let q(s) = -s**2 + 9*s. Suppose 5*p = 3 + 12. Suppose -4*z - 24 = -5*c, -c + 4*z + 9 - 1 = 0. Let f(m) = c*u(m) + p*q(m). Factor f(l).
5*l*(l - 1)
Let x be 0 + 1 + -3 + (-16)/(-28) + 2108/476. Solve 13/2*l - 11/4*l**2 - 1/4*l**4 + 0 - 7/2*l**x = 0.
-13, -2, 0, 1
Let c be (-2)/(-16) - (3 + (-861)/24). Factor 16*q + c + 6*q - 72 - 4*q**2 + 29.
-2*(q - 5)*(2*q - 1)
Let g be (1890/(-75))/(4/(-5)). What is s in -27/2 + g*s - 9*s**3 + 3/2*s**5 - 15*s**2 + 9/2*s**4 = 0?
-3, 1
Let c = 679/86 + -1951/258. Let -62/3*j + c*j**2 + 961/3 = 0. Calculate j.
31
Let x(y) = 3*y**2 + 73*y + 5. Let q(v) = 5*v**2 + 110*v + 8. Let m(o) = 2*o**2 + 4*o + 5. Let r be m(0). Let z(f) = r*q(f) - 8*x(f). Factor z(s).
s*(s - 34)
Let n(r) be the first derivative of 7*r**6/10 - 48*r**5/25 - 807*r**4/20 + 1142*r**3/5 - 1632*r**2/5 + 672*r/5 - 2978. What is t in n(t) = 0?
-7, 2/7, 1, 4
Let w(d) be the third derivative of -d**7/8820 + d**6/30 - 21*d**5/5 + 31*d**4/4 - 47*d**2 + d. Let q(k) be the second derivative of w(k). Factor q(r).
-2*(r - 42)**2/7
Let -171/7*a**4 + 3/7*a**5 + 465/7*a**3 + 1179/7*a**2 - 2916/7 - 2376/7*a = 0. Calculate a.
-2, -1, 3, 54
Let l(y) be the third derivative of -y**8/2800 + y**7/350 - y**6/200 + 7*y**3/3 + 5*y**2 - y. Let z(b) be the first derivative of l(b). Solve z(k) = 0 for k.
0, 1, 3
Let u be (1 + -2 - -5) + -2. Let j be (3/(-2))/(82/12 + -7). Suppose -u*d + 5*d**3 - 4*d**2 + 2*d**3 - j*d**3 = 0. What is d?
-1, 0
Let q = -1/3897 + 19489/15588. Let u(d) be the third derivative of 0 + 1/20*d**5 - q*d**4 + 25/2*d**3 + 0*d - 10*d**2. Let u(j) = 0. What is j?
5
Let v be (45/6)/(12 + -59 + 52). Factor -5*a**3 + 2*a**2 + 0 + v*a**4 + 9/4*a**5 + 0*a.
a**2*(a + 2)*(3*a - 2)**2/4
Let l be 45/20*(129/(-9) + 14)*-5. Factor 13/8*s + 1/8*s**2 - l.
(s - 2)*(s + 15)/8
Let t(w) = 2*w**5 - 29*w**4 + 34*w**3 + 7*w**2 - 14. Let r(y) = -y**4 - y**2 + 2. Let g(j) = -14*r(j) - 2*t(j). Factor g(l).
-4*l**3*(l - 17)*(l - 1)
Suppose -12*r + 7833 = -3555. Let h = -947 + r. Let 8*v - 40 - 2/5*v**h = 0. Calculate v.
10
Let z(x) = -x**3 - x + 3*x**4 - 12*x**4 + x**2 + 8*x**4. Let f(h) = 2*h**5 + 26*h**3 - 18*h**2 + 10*h. Let v(u) = -f(u) - 10*z(u). Factor v(o).
-2*o**2*(o - 2)**2*(o - 1)
Let o = 2699291/4 + -674822. Determine i, given that -99/2*i + 3267/4 + o*i**2 = 0.
33
Let z(m) be the first derivative of 1/3*m**6 + 0*m - 18 - 14/5*m**5 + 0*m**3 + 0*m**2 + 3*m**4. Factor z(k).
2*k**3*(k - 6)*(k - 1)
Factor -216*u**2 + 205*u + 87*u - 3*u**3 - 73*u.
-3*u*(u - 1)*(u + 73)
Solve -816*m**2 - 3*m**3 + 22101 - 48334*m - 7961*m - 103790 - 27661 = 0.
-135, -2
Let m be (-65)/(-78) + (-1243)/462 - -3. Let -m*a - 4/7*a**2 + 60/7 = 0. What is a?
-5, 3
Let s = -1166 - -39673/34. Let v = s - -205/238. Factor -v + 3/7*u**2 - 9/7*u.
3*(u - 4)*(u + 1)/7
Let k = -24 + 62. Determine q so that -65*q + 2*q**4 - k*q**3 + 0*q**4 + 3*q**4 + 19*q**2 + 79*q = 0.
-2/5, 0, 1, 7
Suppose 52*l - 54*l = -2764. Determine u, given that -1394 - 2*u**3 - 2590*u + l - 2726 + 146*u**2 = 0.
-1, 37
Let v(w) be the third derivative of 1/30*w**4 - 1/150*w**6 + 0*w - 16/15*w**3 + 8/75*w**5 + 0 - 65*w**2. Factor v(l).
-4*(l - 8)*(l - 1)*(l + 1)/5
Let m be (8900*1)/5 - -2. Let k be m/1701 + (0 - (-2)/3). Solve 8/7 - k*j**2 - 4/7*j + 4/7*j**4 + 4/7*j**3 = 0.
-2, -1, 1
Let s(a) be the second derivative of -a**6/90 + a**4/6 + 13*a**3/2 - 45*a + 3. Let z(m) be the second derivative of s(m). Factor z(g).
-4*(g - 1)*(g + 1)
Let s(k) = 8*k + 168. Let a be s(-21). Let f be 18/(-225)*(-1220)/16 + -6. Suppose f*o**3 + 0*o + a + 1/10*o**2 = 0. Calculate o.
-1, 0
Let i(q) = 64*q**2 - 2644*q + 2646. Let d(h) = -3*h**2 - h + 1. Let v(x) = 44*d(x) + 2*i(x). Factor v(u).
-4*(u - 1)*(u + 1334)
Let y(w) be the third derivative of w**5/90 + 193*w**4/9 - 773*w**3/9 - 2317*w**2. Suppose y(d) = 0. What is d?
-773, 1
Let t(s) = -34*s**3 - 5262*s**2 - 38*s + 5262. Let l(g) = -8*g**3 - 1316*g**2 - 8*g + 1316. Let a(j) = 9*l(j) - 2*t(j). Factor a(p).
-4*(p - 1)*(p + 1)*(p + 330)
Let w(x) = -5*x**4 - 5*x**3 - 33*x**2 - 93*x + 318. Let f(p) = 4*p**4 + 3*p**3 + 33*p**2 + 94*p - 319. Let l(y) = 6*f(y) + 5*w(y). Solve l(k) = 0 for k.
-9, -4, 3
Determine g so that 1/3*g**3 + 32/3 - 11/3*g**2 + 20/3*g = 0.
-1, 4, 8
Let c(o) = o**3 - 2*o**2 - 3*o + 3. Let r be c(3). Suppose -4*i = 4, -4 = -3*h + r*i + 5. Find d such that d**3 + 75*d - 17*d**2 - 78 - 47 + h*d**2 = 0.
5
Let a(x) be the first derivative of -3/40*x**5 - x**3 - 84 + 15/32*x**4 + 3/4*x**2 + 0*x. Find m such that a(m) = 0.
0, 1, 2
Let y(p) = 610*p**2 - 37175*p - 7965. Let b(r) = 51*r**2 - 3098*r - 663. Let d(w) = 35*b(w) - 3*y(w). Solve d(q) = 0.
-2/9, 69
Let o be ((-12)/16)/((77/924)/(24/(-189))). Factor 2/7*l**4 - 2/7*l**3 + o*l - 8/7*l**2 + 0.
2*l*(l - 2)*(l - 1)*(l + 2)/7
Let f = 323955/7 + -46277. Suppose 24/7 - f*g + 2/7*g**2 = 0. Calculate g.
2, 6
Let n(w) be the second derivative of -w**6/18 - w**5/3 + 5*w**4/36 + 10*w**3/9 + 188*w. Factor n(o).
-5*o*(o - 1)*(o + 1)*(o + 4)/3
Let x(u) = -5*u**3 - 85*u**2 - 27*u - 457. Let a be x(-17). Factor -14/11*y**2 - 10/11*y**4 + 2/11*y + a*y**3 + 0.
-2*y*(y - 1)**2*(5*y - 1)/11
Let p = 11298 + -11296. Let k(c) be the first derivative of -21 + 49/5*c + 1/15*c**3 + 7/5*c**p. Let k(z) = 0. Calculate z.
-7
Let f(s) be the second derivative of s**5/10 - 7*s**4/6 + 16*s**3/3 - 12*s**2 + 1335*s + 2. Factor f(x).
2*(x - 3)*(x - 2)**2
Let p = 262/1957 - 10903757/9785. Let g = -1113 - p. Factor 2/5*k**3 + 6/5 - g*k**2 - 2/5*k.
2*(k - 3)*(k - 1)*(k + 1)/5
Factor 58*v**2 - 11/2*v**3 - 159/2*v + 27.
-(v - 9)*(v - 1)*(11*v - 6)/2
Factor -2562*h - 1285*h + 257*h - 3065*h - 5*h**2 + 320*h.
-5*h*(h + 1267)
Let n = -117 - -119. Factor 27 + 23 - 64 + 3*b**n + 20 - 9*b.
3*(b - 2)*(b - 1)
Let y(q) be the third derivative of q**5/20 + 27*q**4/8 + 81*q**3 + 6229*q**2. Factor y(b).
3*(b + 9)*(b + 18)
Let g(o) be the first derivative of -3*o**4/16 + 85*o**3/4 - 1023*o**2/2 + 960*o - 5792. Factor g(f).
-3*(f - 64)*(f - 20)*(f - 1)/4
Solve -33448/9*y + 586/9*y**3 + 21904/9 - 7004/3*y**2 - 4/9*y**4 = 0.
-2, 1/2, 74
Let z(y) = -85*y**3 + 715*y**2 + 22535*y - 135. Let g(u) = -2*u**3 + u**2 + 2*u - 3. Let r(f) = -45*g(f) + z(f). Find p, given that r(p) = 0.
-67, 0
Let x = 54977 + -934607/17. Factor -2/17*i + 2/17*i**3 + 2/17 - x*i**2.
2*(i - 1)**2*(i + 1)/17
Factor 53*u - 3 + 48*u - 153*u + 54*u + u**2.
(u - 1)*(u + 3)
Factor 252*j + 3345 - 6572 + 4*j**2 + 2155.
4*(j - 4)*(j + 67)
Let g(u) be the second derivative of u**6/6 - 5*u**5/2 - 65*u**4/4 - 10*u**3/3 + 130*u**2 + 1140*u. Find j, given that g(j) = 0.
-2, 1, 13
Suppose 2*x - 21 = b, 5*x = 4*b + 49 + 5. Find u such that 111*u**2 - 57*u**2 - 56*u**2 + x + 6*u + 46 = 0.
-4, 7
Find h, given that 6147*h**2 - 197*h**3 + 2700*h - 244*h**3 + 4473*h**2 + 139*h**3 - 415*h**3 + 12*h**4 = 0.
-1/4, 0, 30
Let z(c) = -60*c**2 - 1080*c - 4860. Let i = -9 + 11. Suppose -25 = -b + i*b. Let j(m) = 5*m**2 + 90*m + 405. Let k(f) = b*j(f) - 2*z(f). Solve k(q) = 0.
-9
Let t(p) be the third derivative of -5*p**8/336 + p**7/42 + p**6/6 - p**5/3 - 1297*p**2 - 3*p. Suppose t(k) = 0. Calculate k.
-2, 0, 1, 2
Let v(m) be the second derivative of m**5/150 + m**4/15 + 33*m**2/2 - 4*m - 2. Let g(a) be the first derivative of v(a). Factor g(n).
2*n*(n + 4)/5
Let r(c) be the third derivative of 11*c**7/1890 - c**6/45 - 7*c**5/45 + 2*c**4/27 + 1220*c**2. Fa