*l**3 + 1/3*l**6 + 0*l + 0*l**5 - l**4 + l**2 + 259. Factor u(i).
2*i*(i - 1)**2*(i + 1)**2
Factor 65348*g - 19779 - 31183 - 8620 - 5952*g**2 - 2*g**4 + 188*g**3.
-2*(g - 31)**3*(g - 1)
Factor -2187/2*x**2 + 1/2*x**3 - 387420489/2 + 1594323/2*x.
(x - 729)**3/2
Suppose 134*i = 122*i - 120. Let n be i - (-6)/(-9)*-17. Suppose 1/3*u**2 + 4/3*u + n = 0. Calculate u.
-2
Let f = -37 + 39. Suppose -4*v = f*v - 42. Factor -35*m**3 - v*m**2 + 20 - 25*m - 98*m**2 - 15*m + 10*m**2.
-5*(m + 1)*(m + 2)*(7*m - 2)
Let q(p) be the third derivative of -p**8/84 + 4*p**7/15 + 31*p**6/30 + 16*p**5/15 - 904*p**2. Let q(f) = 0. What is f?
-1, 0, 16
Let m = 2985/4 + -746. Determine r, given that 3/8*r - m + 0*r**2 - 1/8*r**3 = 0.
-2, 1
Let f(p) be the second derivative of 2*p**6/15 + 169*p**5/20 + 13*p**4/6 - 338*p**3/3 - 84*p**2 + 5002*p. Determine n so that f(n) = 0.
-42, -2, -1/4, 2
Factor 1/3*m**2 + 31/3*m - 22.
(m - 2)*(m + 33)/3
Let f(k) be the first derivative of 73 - 1/2*k**4 + 20/3*k**3 - 21*k**2 + 0*k. What is c in f(c) = 0?
0, 3, 7
Let n = 1924 + -1664. Let r be 44/42 - (-4 - n/(-70)). Factor -r + 9*u**2 + 52/3*u.
(u + 2)*(27*u - 2)/3
Let v = 20 + -18. Suppose 4*o = v*d + 6 - 0, 0 = -5*o - 4*d + 27. Determine l, given that 16*l**o - 228*l**2 + 20*l + 168*l**2 + 9*l**3 = 0.
0, 2/5, 2
Let k be (4/(-1))/(7992/(-26973)). Factor -k*x**2 - 249/2*x - 27.
-3*(x + 9)*(9*x + 2)/2
Let u = 84512/15 + -5634. Let x(g) be the second derivative of 16*g - 1/21*g**7 - 1/10*g**5 + 0*g**4 + 0*g**2 + 0 - u*g**6 + 0*g**3. Find y such that x(y) = 0.
-1, 0
Let j(a) = 2*a**3 + 30*a**2 + 101*a - 60. Let p be j(-9). Let v(w) be the first derivative of -1/4*w**2 + 16 + 1/4*w**p - 1/4*w. Factor v(s).
(s - 1)*(3*s + 1)/4
Let v(q) be the third derivative of q**8/112 + 509*q**7/70 + 63487*q**6/40 - 326137*q**5/20 + 65792*q**4 - 132098*q**3 - 4767*q**2. Find a, given that v(a) = 0.
-257, 1, 2
Suppose 0 = 4*q + 10*q. Factor 874 - 882 + q*z**3 - z**3 - 3*z**3 + 12*z.
-4*(z - 1)**2*(z + 2)
Determine p so that -225*p**2 - 253*p**4 - 183*p**4 + 150*p + 585*p**4 - 151*p**3 + 76*p**2 + p**5 = 0.
-150, -1, 0, 1
Let k be (-34)/(-10) + (2 - (-84)/(-35)). Find u, given that -k*u**3 + 12*u**4 - 6*u**4 - 9*u**4 + 0*u**3 = 0.
-1, 0
Let f = 76105/12 - 6342. Let q(u) be the first derivative of 0*u**2 + 0*u**4 - 7 + 0*u**3 - f*u**6 + 0*u + 1/10*u**5. Determine n so that q(n) = 0.
0, 1
Let f(a) = a**5 + a**4 + a**3 - 2*a**2 - a - 1. Let j(n) = -18*n**5 + 16*n**4 - 192*n**3 + 397*n**2 - 311*n + 125. Let m(p) = 68*f(p) + 4*j(p). Solve m(t) = 0.
1, 2, 27
Factor 392*l + 1117*l**4 + 245*l**2 + 139*l**2 + 1116*l**4 - 2229*l**4 - 388 - 392*l**3.
4*(l - 97)*(l - 1)**2*(l + 1)
Let f(u) be the third derivative of 4*u**7/105 - 7*u**6/10 - 19*u**5/15 + 31*u**4/2 - 110*u**3/3 + 321*u**2 + 2*u. Suppose f(n) = 0. Calculate n.
-5/2, 1, 11
Let y(f) be the first derivative of 55/3*f**3 - 45/2*f**2 - 10*f - 97. Determine n, given that y(n) = 0.
-2/11, 1
Suppose 13*n - 96 = 10*n. Suppose n*o = 12*o + 80. What is s in -2/5*s + 0 - 6/5*s**3 - 2/5*s**o - 6/5*s**2 = 0?
-1, 0
Let p = 1201533 - 10813796/9. Factor -p*f**4 + 0*f - 2*f**2 - 8/9*f**3 + 3.
-(f - 1)*(f + 3)**3/9
Let y be (-1)/3 + 62 + -60. Factor -y*c**2 + 1/3*c**3 + c + 3.
(c - 3)**2*(c + 1)/3
Let i be (-140)/(-65) - (2/(-17) + (-420)/(-1547)). What is k in 24/7 + 2/7*k**i + 16/7*k = 0?
-6, -2
Let j(f) = -6*f**2 + 46*f + 19. Let k be j(8). Suppose -285*z**2 - 14*z**k + 10 + 321*z**2 - 4*z**4 - 30 + 26*z = 0. What is z?
-5, -1, 1/2, 2
Factor -10*j**3 + 85*j**3 + 18*j**3 - 1108*j**2 - 14*j**3 - 4*j**4 + 53*j**3 - 2200 + 3180*j.
-4*(j - 22)*(j - 5)**2*(j - 1)
Let o = -928219/4 - -8354059/36. Let 22/9*j**4 + 2/9*j**5 + 0 - 4*j - o*j**2 + 34/9*j**3 = 0. What is j?
-9, -2, -1, 0, 1
Let r(h) = 2*h**3 - h**2 + 10. Let a(t) = 10*t**3 - 90*t**2 - 10*t + 265. Let f(p) = -a(p) + 25*r(p). Factor f(o).
5*(o + 1)**2*(8*o - 3)
Let r(c) = -4*c**2 + 56*c - 958. Let y = 149 + -164. Let m(q) = -q**2 - 2*q + 1. Let w(t) = y*m(t) + 5*r(t). Factor w(u).
-5*(u - 31)**2
Let m(x) = 2*x + 12. Let j = 8 - 13. Let w be m(j). Find b such that 3*b**3 + 11*b**w + 12*b + b**2 - b**2 + b**2 = 0.
-2, 0
Let y be 2/11*(747 + -736). Factor 2/7*s**y + 10/7 + 12/7*s.
2*(s + 1)*(s + 5)/7
Let n be (14 + -4)*(5 - 12/(-15)). Let r be (-7)/3*(n - 66). Factor 16/3 + 16/3*c**4 - 50/3*c**3 - r*c - 2/3*c**5 + 76/3*c**2.
-2*(c - 2)**3*(c - 1)**2/3
Suppose -47 = -4*r - 4*l + l, 4*r - 22 = 2*l. Factor -d**4 + 470*d**2 - d**3 + r*d**3 - 486*d**2 + 3*d**3.
-d**2*(d - 8)*(d - 2)
Let x(y) be the first derivative of 132 - 14/5*y**5 + 0*y**2 - y**4 + 2/3*y**3 - 4/3*y**6 + 0*y. Determine c, given that x(c) = 0.
-1, 0, 1/4
Let w be -15 - (15 + -43 - -11). Let p(x) be the first derivative of 2/25*x**5 - 32 + 4/5*x**w + 0*x**3 + 0*x - 3/10*x**4. Solve p(a) = 0.
-1, 0, 2
Factor 305/3*n + 5*n**2 - 550/3.
5*(n + 22)*(3*n - 5)/3
Let n(x) be the third derivative of x**8/420 - 58*x**7/525 + 62*x**6/75 - 32*x**5/25 + 46*x**2 - 19. Find g such that n(g) = 0.
0, 1, 4, 24
What is m in -576*m + 52*m**2 - 4/3*m**3 + 1296 = 0?
3, 18
Suppose 2286 = 407*q + 658. Let l(d) be the second derivative of 0 - 1/5*d**2 - 1/60*d**q - 1/10*d**3 - 29*d. Suppose l(t) = 0. What is t?
-2, -1
Let v(y) be the first derivative of 98/55*y**5 + 0*y - 7/2*y**4 - 4/11*y**2 + 64/33*y**3 + 4. Let v(c) = 0. Calculate c.
0, 2/7, 1
Determine s so that 104/11*s**3 - 2/11*s**4 + 0 - 1536/11*s**2 + 4608/11*s = 0.
0, 4, 24
Let c be (24/(-56) - 272/(-357))/((-21)/(-72)). Factor c*f + 2*f**2 + 0 + 4/7*f**3 - 2/7*f**4.
-2*f*(f - 4)*(f + 1)**2/7
Let z(p) be the first derivative of 14/9*p**3 + 18 + 49/3*p**2 + 9*p + 1/18*p**4. Let w(i) be the first derivative of z(i). Factor w(n).
2*(n + 7)**2/3
Let f(p) = 7*p - 54. Let o be f(8). Suppose 0 = -91*r + 318 - 45. Solve 3/5*c**r - 3/5*c - 9/5*c**o + 9/5 = 0.
-1, 1, 3
Let s(f) be the first derivative of f**4/2 + 30*f**3 - 912*f**2 - 89528*f + 1409. Factor s(x).
2*(x - 31)*(x + 38)**2
Let l(x) be the second derivative of x**6/15 + 9*x**5/10 + x**4 - 16*x**3/3 - 34*x + 53. Factor l(d).
2*d*(d - 1)*(d + 2)*(d + 8)
Let h(t) be the third derivative of -t**5/105 - 88*t**4/21 + 12074*t**2. Determine r so that h(r) = 0.
-176, 0
Let z(x) = 12*x + 2*x**2 + 7*x**2 - 6*x**2 + 9. Let u(j) = j + 1. Let k(w) = 6*u(w) - z(w). Factor k(m).
-3*(m + 1)**2
Let o(l) be the second derivative of l**4/18 + 188*l**3/9 + 187*l**2/3 - 2691*l. Let o(n) = 0. Calculate n.
-187, -1
Let s(a) be the second derivative of 0*a**4 - a + 0*a**2 + 0*a**3 + 0 + 1/15*a**5 + 2/45*a**6. Factor s(n).
4*n**3*(n + 1)/3
Let p(z) be the second derivative of z**7/1120 - z**6/30 + 9*z**5/32 + 81*z**4/16 + 7*z**3/2 - 19*z - 1. Let v(u) be the second derivative of p(u). Factor v(q).
3*(q - 9)**2*(q + 2)/4
Solve -4490 + 2464*q - 3183 - 669*q - 5*q**2 + 2333 = 0 for q.
3, 356
Let o = -15483549/21170 + 21167/29. Let v = 2/365 - o. What is i in -3/2*i**4 - 9/8*i**2 + v - 39/8*i**3 + 6*i = 0?
-2, -1/4, 1
Let b(u) = 205*u**2 + 1242*u + 9694. Let t(q) = -60*q**2 - 355*q - 2770. Let z(x) = -5*b(x) - 17*t(x). Factor z(j).
-5*(j + 12)*(j + 23)
Factor 2750*t - 355*t - 14*t**2 - 1632 + 2581*t + 740*t.
-2*(t - 408)*(7*t - 2)
Suppose -4*n**4 - 5076*n**3 + 5076*n**3 + 68*n**2 + 144*n + 80 = 0. Calculate n.
-2, -1, 5
Let q(i) = 51*i**3 - 75*i**2 + 473*i - 401. Let u(w) = -1032*w**3 + 1500*w**2 - 9459*w + 8019. Let n(z) = 81*q(z) + 4*u(z). Factor n(g).
3*(g - 15)*(g - 9)*(g - 1)
Let o be 0/(-3)*(10 + -9). Factor 8/7*i**3 - 2/7*i**4 + o + 0*i + 10/7*i**2.
-2*i**2*(i - 5)*(i + 1)/7
Let x(o) be the third derivative of o**8/168 - 8*o**7/105 + 56*o**5/15 - 68*o**4/3 + 64*o**3 - 2528*o**2. Let x(z) = 0. Calculate z.
-4, 2, 6
Let z be (15*2)/((-810)/(-360)). Factor -z*i**2 + i**3 - 22/3 + 79/3*i.
(i - 11)*(i - 2)*(3*i - 1)/3
Suppose -133*j - 7242 = -2205*j - 1549*j. Suppose k**3 - 1/6*k**4 + 2*k - 13/6*k**j - 2/3 = 0. Calculate k.
1, 2
Let w(h) be the second derivative of -h**5/4 + 355*h**4/4 - 18725*h**3/2 - 57245*h**2/2 + 1273*h - 2. Find v, given that w(v) = 0.
-1, 107
Let c(a) be the second derivative of -5*a**7/42 + a**6/6 + 147*a**5/4 + 2695*a**4/12 - 1715*a**3/3 - 3*a - 332. Determine s, given that c(s) = 0.
-7, 0, 1, 14
Let r(n) be the first derivative of 3/2*n**2 + 0*n + 2*n**3 + 75 + 3/4*n**4.