- 495*i = 0.
-8, 1, 13
Factor -60966*f**3 - 554*f**4 + 6235*f**5 - 50342*f**3 + 34579*f**3 - 6236*f**5.
-f**3*(f + 277)**2
Let r(n) be the first derivative of 0*n - 2*n**2 + 4/3*n**3 + 145. Factor r(l).
4*l*(l - 1)
Let r(v) = -v**5 + v**4 + 17*v**3 - v**2 - 1. Let z(s) = 7*s**5 - 7*s**4 - 64*s**3 - 8*s**2 + 25*s + 17. Let f(b) = 2*r(b) + z(b). What is y in f(y) = 0?
-1, 1, 3
Let f(j) be the first derivative of -1/2*j**3 - 3/2*j - 3/2*j**2 - 65. Factor f(h).
-3*(h + 1)**2/2
Let r(w) be the second derivative of -w**5/5 + 377*w**4/3 - 71440*w**3/3 + 70688*w**2 - 4*w - 1007. Determine z so that r(z) = 0.
1, 188
Suppose -y + 27 = 8*y. Factor -61*z**2 - 271*z**3 - 256*z + 532*z**3 - y*z**2 - 265*z**3.
-4*z*(z + 8)**2
Let a(m) be the first derivative of -70*m + 65/2*m**2 + 5/3*m**3 + 34. Factor a(i).
5*(i - 1)*(i + 14)
Let t(j) be the second derivative of 24*j + 4 + 1/48*j**4 - 1/3*j**3 - 9/8*j**2. Factor t(q).
(q - 9)*(q + 1)/4
Let y(d) be the first derivative of 1/120*d**6 - 2*d**3 + 0*d - 1/4*d**4 - 1/40*d**5 + 0*d**2 - 3. Let n(r) be the third derivative of y(r). Factor n(b).
3*(b - 2)*(b + 1)
Let j be (-6)/38*82/(-8979). Let t = j + 63796/4161. What is u in -14/3*u**4 + 44/3*u**2 + 16/3*u - t*u**3 + 0 = 0?
-4, -2/7, 0, 1
Let q be (-8 + 5)*(1 - 2). Let f be -2*3/q - -6. Factor -4*a + f*a**4 - 7*a**4 - 2*a + 9*a**2.
-3*a*(a - 1)**2*(a + 2)
Let g be 8 + (-22)/4 + (-441)/378. Factor -g*s**2 - 484/3 - 88/3*s.
-4*(s + 11)**2/3
Let p(y) be the third derivative of y**6/180 - 133*y**5/15 - 533*y**4/12 - 800*y**3/9 + 9404*y**2. Factor p(a).
2*(a - 800)*(a + 1)**2/3
Let s(y) be the second derivative of 185*y - 7/16*y**3 + 1/160*y**5 + 45/16*y**2 + 0 - 1/96*y**4. Factor s(w).
(w - 3)**2*(w + 5)/8
Let y(h) be the third derivative of -12*h**7/35 + 31*h**6/8 - 55*h**5/4 + 20*h**4 - 8*h**3 + 48*h**2 - 8. Let y(c) = 0. Calculate c.
1/8, 1, 4/3, 4
Let v(x) = -28*x - 1764. Let c be v(-63). Factor 0*n + c*n**2 - 2/11*n**4 + 0*n**3 + 0.
-2*n**4/11
Let f be (-3304)/57820 + 76/105. Solve -1/2*r**2 + 4/3*r - f - 1/3*r**3 + 1/6*r**4 = 0.
-2, 1, 2
Let f(t) be the first derivative of 5/4*t**4 + 0*t + 125/2*t**2 + 50/3*t**3 + 61. Let f(k) = 0. Calculate k.
-5, 0
Factor -2/9*d**2 + 49/3 + 7/9*d.
-(d + 7)*(2*d - 21)/9
Let f(p) = -5*p**3 + 52*p**2 - 123*p + 8. Let d(g) = 30*g**3 - 310*g**2 + 735*g - 50. Let c(s) = -4*d(s) - 25*f(s). Solve c(z) = 0 for z.
0, 3, 9
Let g = 114327/8 - 114309/8. Find h, given that 0*h**4 + 3/8*h**5 + g*h**2 + 0*h - 21/8*h**3 + 0 = 0.
-3, 0, 1, 2
Let x be 2157/(-720) - (12/10)/((-56)/140). Let b(c) be the third derivative of 0*c + x*c**5 + 5*c**2 - 5/96*c**4 + 0 + 0*c**3. Factor b(f).
f*(f - 5)/4
Let p(k) be the second derivative of -k**6/1080 + k**4/72 - 25*k**3 - 173*k. Let x(m) be the second derivative of p(m). Factor x(c).
-(c - 1)*(c + 1)/3
Let z = 168859/1125460 - 2/56273. Let s(q) be the second derivative of 1/2*q**3 + 1/30*q**6 - z*q**5 + 0*q**2 - 1/12*q**4 + 10*q + 0. What is v in s(v) = 0?
-1, 0, 1, 3
Determine s so that 3*s - s - 846*s**4 + 94*s**2 - 20*s**5 + 964*s**4 - 174*s**3 - 12 - 8*s**5 = 0.
-2/7, 1, 3/2
Let q(b) = -86*b**3 + 2406*b**2 + 53*b + 86. Let a be q(28). Factor 6/11*r + 0 - 2/11*r**a.
-2*r*(r - 3)/11
Let s(a) be the third derivative of a**7/735 + 3*a**6/28 - 13*a**5/5 - 12337*a**4/21 - 193336*a**3/7 + 2*a**2 - 3*a - 614. Factor s(o).
2*(o - 33)*(o + 26)**3/7
Factor -10*m**3 + 5*m**3 + 33*m**2 + 179 + 656 + 67*m**2 + 125 - 560*m.
-5*(m - 12)*(m - 4)**2
Let j(b) be the first derivative of -b**3 + 1569*b**2 - 820587*b + 414. Factor j(i).
-3*(i - 523)**2
Factor 16/9*x**3 + 160/9 - 628/9*x - 52/9*x**2.
4*(x - 8)*(x + 5)*(4*x - 1)/9
Let q = -125 - -133. Suppose -q*r - 12*r + 40 = 0. Let 0 + 1/3*k**4 - k**r + 6*k - 4/3*k**3 = 0. Calculate k.
-2, 0, 3
Suppose -12 = -3*g, -q + 11 + 15 = -5*g. Factor -429*i**2 + q*i**3 + 1419 - 3*i**4 + 2*i**4 - 2300*i - 3919.
-(i - 25)**2*(i + 2)**2
Let b = -1093 + 806. Let f = -284 - b. Factor -3 - 3/4*t**2 + f*t.
-3*(t - 2)**2/4
Let p(m) = 29*m**5 + 60*m**4 - 89*m**2 - 9. Suppose 32 = 6*k - 22. Let x(q) = 7*q**5 + 15*q**4 - 22*q**2 - 2. Let u(z) = k*x(z) - 2*p(z). Factor u(t).
5*t**2*(t - 1)*(t + 2)**2
Suppose -12 = -14*d + 44. Factor 43 + d*n**2 - 10*n**2 + 156*n + 86 + 24 + 9*n**2.
3*(n + 1)*(n + 51)
Let 2/7*z**2 + 1008200/7 + 2840/7*z = 0. What is z?
-710
Let 21 + 207/5*q + 99/5*q**2 - 3/5*q**3 = 0. Calculate q.
-1, 35
Find b such that 379/6*b**2 + 1/3 - 127/2*b = 0.
2/379, 1
Let y(g) = -24*g**4 + 31*g**3 - 193*g**2 - 62*g + 655. Let j(x) = x**4 + 2*x**2 - x - 1. Let n(s) = -100*j(s) - 4*y(s). Factor n(f).
-4*(f - 3)**2*(f + 2)*(f + 35)
Let x = 349 + -349. Let d(c) be the third derivative of -15*c**2 + x*c**4 + 0*c**3 + 0*c**5 + 2/105*c**7 + 0 + 1/30*c**6 + 0*c. Factor d(y).
4*y**3*(y + 1)
Let p = 312 - 304. Factor -8*o**2 + 4*o**2 + p*o**3 + 121*o**4 - 24*o - 119*o**4 + 18.
2*(o - 1)**2*(o + 3)**2
Factor 2/7*n**5 - 20/7*n**4 + 0*n - 78/7*n**3 + 0 + 0*n**2.
2*n**3*(n - 13)*(n + 3)/7
Factor 105/2*z + 0 - 5/4*z**3 - 95/4*z**2.
-5*z*(z - 2)*(z + 21)/4
Let t be (-575)/125 - (-118349)/1540. What is n in -323/4*n - 35/4*n**2 - t - 1/4*n**3 = 0?
-17, -1
Suppose -11 = l - 5*j - 20, 4*j + 20 = 4*l. Factor 120*m + 97*m - 69*m + 5476 + 148*m + l*m**2.
4*(m + 37)**2
Let n be 11/3 + 5/15. Suppose -3*a + b + 11 = -8, -30 = -5*a + 2*b. Factor 3*y + n - y**2 - 13*y + 15*y**2 - a*y.
2*(y - 1)*(7*y - 2)
Suppose -30*i + 3324 = -2616. Let a be 22/12*((-768)/i + 4). Factor -a*r**3 - 1/9*r**2 + 0*r - 1/9*r**4 + 0.
-r**2*(r + 1)**2/9
Let k = -2/2893 + 17372/20251. Let s = 9542/7 - 1361. Factor -3/7*i**5 + 0 + 3*i**2 - 27/7*i**3 + s*i**4 - k*i.
-3*i*(i - 2)*(i - 1)**3/7
Let k = -3 + 7. Let n(l) = -l**3 + 7*l**2 + 2. Let a be n(7). Factor 9*v**a - 1818*v**3 + 8*v**2 + 1812*v**3 + v**4 - 12*v - k*v**2 + 4.
(v - 2)**2*(v - 1)**2
Suppose 0 + 2/3*n**2 - 542/3*n = 0. Calculate n.
0, 271
Let x = 2848 + -2843. Let a(s) be the second derivative of 0 + 0*s**2 - 1/24*s**4 + x*s - 1/84*s**7 + 0*s**3 + 1/40*s**5 + 1/60*s**6. Factor a(m).
-m**2*(m - 1)**2*(m + 1)/2
Suppose 158 - 112*u - 206 - 37*u - 61*u + 27*u**2 = 0. What is u?
-2/9, 8
Let p = 209/8 + -2251/88. Let j be 10/7 - 8*(-5)/70. Factor p*f + 0 + 2/11*f**j.
2*f*(f + 3)/11
Let p(s) be the third derivative of -s**9/136080 + s**8/90720 + s**7/7560 - 32*s**5/15 + 2*s**2 + 40*s. Let u(o) be the third derivative of p(o). Factor u(d).
-2*d*(d + 1)*(2*d - 3)/9
Let m be 1*101*-1 - (3 - 5). Let r be ((m/162)/(-11))/((-2)/(-6)). Determine b, given that r - 3/2*b**3 + 5/6*b + 1/2*b**2 = 0.
-1/3, 1
Let z = -52 + 56. Let s be ((-7)/4*1)/((-1)/z). Factor 8*v**4 + s*v**2 - 16*v**3 + 5*v**2 - 12*v**3.
4*v**2*(v - 3)*(2*v - 1)
Let u be 19 - (-8323)/4059*-9. Let k = 1501/88 + -135/8. Factor 0*f**2 - u*f + 4/11 + k*f**3.
2*(f - 1)**2*(f + 2)/11
Let t be (-6084)/(-12)*-1*5/((-1215)/18). Factor -52/9*j**2 - t*j + 0 - 2/9*j**3.
-2*j*(j + 13)**2/9
Let u(v) be the third derivative of -v**6/120 + v**4/6 - 2*v**2 - 37. Let w(c) = -2*c**3 + 9*c. Let x(b) = -9*u(b) + 4*w(b). Factor x(n).
n**3
Suppose 47*h + 129 = -3*v, -3*v + 1 = 3*h - 2. Factor -10 + 11/2*x**2 - v*x - 1/2*x**3.
-(x - 10)*(x - 2)*(x + 1)/2
Let u(s) be the third derivative of -s**7/3 - 13*s**6/24 + 29*s**5/12 - 5*s**4/12 + s**2 - 60. Find z, given that u(z) = 0.
-2, 0, 1/14, 1
Let w = 639/20 - 95331/2980. Let x = w - -185/894. Find r, given that 0*r + x*r**2 - 1/6 = 0.
-1, 1
Let f(i) be the third derivative of -i**6/360 - i**5/30 - i**4/8 + i**3/3 - 4*i**2 + 2. Let w(r) be the first derivative of f(r). Factor w(j).
-(j + 1)*(j + 3)
Let w be (-5)/(-10)*6 + -1. Find m such that -36*m + 230*m**3 - 226*m**3 + 14*m**2 - 2*m**w + 20 = 0.
-5, 1
Let l be 345*58/2175 + (-8)/5 + -7 + 1. What is w in l*w - 24/5 + 2/5*w**2 = 0?
-6, 2
Suppose 4*m + 18*t + 16 = 22*t, -2*t = 5*m - 29. Factor 0*x + 8/7*x**2 + 0 + 2/7*x**m.
2*x**2*(x + 4)/7
Suppose 3*c - 4*o = -6, -328718*o + 328715*o + 5 = -2*c. Factor -6*t**c + 3/5*t + 15*t**3 + 0.
3*t*(5*t - 1)**2/5
Let u = 159 - 158. Suppose -a + 4 = u. Find f, given that 8/3*f**2 - 7/3*f - f**a + 2/3 = 0.
2/3, 1
Let j be (17/(-2))/(18/((-2088)/493)). Factor -1/6*h**3 - 26/3 - 25/3*h**j + 103/6*h.
-(h - 1)**2*(h + 52)/6
Let j = -42 + 106. Let f be (3 - 6) + 154 - -1. Suppose -f + 51 - 155 - 4*k**2 + j*k = 