 2/7*v**3 + 15*v + 0*v**2. Factor g(h).
3*h*(h + 1)*(h + 4)/7
Let z(f) = f**3 + 13*f**2 + 6*f - 2. Let n = 46 + -48. Let x(v) = 15*v**2 + 6*v - 3. Let y(c) = n*x(c) + 3*z(c). Suppose y(k) = 0. What is k?
-2, -1, 0
Factor -46*o**2 + 1190 + 2992*o - 1597*o + 0*o**3 + 256*o**2 + 5*o**3.
5*(o + 1)*(o + 7)*(o + 34)
Let u(h) be the first derivative of 28*h**5/5 + 548*h**4 + 208*h**3 - 1115. Find v, given that u(v) = 0.
-78, -2/7, 0
Let j be (2/(-12) - 13/(-30))/(15 + 621/(-45)). Solve -116/9*d**3 - 1568/9 - 598/3*d**2 - 3248/9*d - j*d**4 = 0 for d.
-28, -1
Let 115*j**2 - 886*j**3 + 2655*j**3 - 887*j**3 - 877*j**3 = 0. Calculate j.
-23, 0
Let q = 532 - 460. Let z be q/105 - 26/65. Factor z*j**2 - 2/7 + 0*j.
2*(j - 1)*(j + 1)/7
Let x(k) be the second derivative of -k**5/4 - 25*k**4/4 - 95*k**3/3 - 60*k**2 - 2449*k. Find j, given that x(j) = 0.
-12, -2, -1
Let o(y) be the first derivative of -1/16*y**2 + 1/24*y**3 + 1/32*y**4 - 1/8*y - 82. Suppose o(t) = 0. Calculate t.
-1, 1
Determine q, given that -30*q**2 - 1755*q - 51*q**2 + 113*q**2 - 31*q**2 = 0.
0, 1755
Let d(r) be the third derivative of r**6/1800 + r**5/150 + 41*r**3/6 + 51*r**2. Let c(m) be the first derivative of d(m). Factor c(j).
j*(j + 4)/5
Let b(q) be the third derivative of -7/30*q**5 + 0 + 0*q**3 - 26*q**2 + 1/30*q**6 + 1/15*q**7 - 1/6*q**4 + 0*q. Factor b(p).
2*p*(p - 1)*(p + 1)*(7*p + 2)
Factor 18325*d - 3*d**2 - 3*d**3 + 0*d**2 + 0*d**2 - 18325*d.
-3*d**2*(d + 1)
Suppose f = 2*f - 4. Suppose -122 = 3*r - 329. Suppose -7*i + 4*i - 10 - 60*i**3 + r*i**2 + f = 0. Calculate i.
-1/4, 2/5, 1
Let x be 3 + 713/(-92) + (3 - -2). Let c(o) be the first derivative of 0*o**2 - 1/20*o**5 + 0*o**4 + 9 - x*o + 1/6*o**3. Factor c(d).
-(d - 1)**2*(d + 1)**2/4
Let b be (4/8*(8 - 8))/(-1)*-1. Let v(q) be the first derivative of -1/21*q**3 + b*q + 0*q**2 + 1/35*q**5 + 7 + 0*q**4. Factor v(d).
d**2*(d - 1)*(d + 1)/7
Let q(k) = k**2 - 641*k - 627. Let s(p) = 5*p**2 - 4485*p - 4390. Let y(a) = -20*q(a) + 3*s(a). Factor y(n).
-5*(n + 1)*(n + 126)
Suppose 2*v = -m - 12, -5*v + 15 = -7*m + 2*m. Let z be m/10 + 81/60. Solve -7/8*c + 0*c**2 - z + 1/8*c**3 = 0 for c.
-2, -1, 3
Let v(s) = -6*s**2 + 94*s - 20. Let x be v(15). Let l be (x/3)/((-48)/(-192)). Factor -100/3 - l*f - 8*f**2 - 4/3*f**4 + 32/3*f**3.
-4*(f - 5)**2*(f + 1)**2/3
What is r in -339*r**2 - 53*r**5 + 123*r**3 - 47*r**5 + 157*r**5 + 336 + 3*r**4 - 60*r**5 - 120*r = 0?
-7, -1, 1, 4
Let u(g) = -123*g**3 + g**2 + g + 1. Suppose -7*p + 15*p + 8 = 0. Let x be u(p). Factor 6 + 115*w**2 + 4*w + x*w**2 - 241*w**2.
-2*(w - 3)*(w + 1)
Let f be (-34 - -92)*19/3. Let w = f + -367. Determine l, given that 2/3*l - 2/3*l**3 + 0 - 1/3*l**2 + w*l**4 = 0.
-1, 0, 1, 2
Solve -476 - 203*r**2 + 45*r - 204*r**2 + 9*r + 409*r**2 = 0 for r.
-34, 7
Let t(m) be the third derivative of 1/330*m**5 + 3/44*m**4 - 3/11*m**3 - 1/660*m**6 + 75*m**2 + 0*m + 0. Factor t(i).
-2*(i - 3)*(i - 1)*(i + 3)/11
Let l(v) = -2*v**2 + 66*v + 2. Let w be l(33). Factor -12*g**w - 22*g**4 - 3*g**4 - 13*g**2 + 24*g**4 - 10*g**3.
-g**2*(g + 5)**2
Let f(r) = r**2 - 67*r + 42. Let s(v) = -v**2 + 49*v - 42. Let h(x) = 2*f(x) + 3*s(x). Suppose h(b) = 0. Calculate b.
6, 7
Let c = 190 + -197. Let g be 2/c*42/(-18). Factor -2/3*y**3 + g*y + 0*y**2 + 0.
-2*y*(y - 1)*(y + 1)/3
Let w(l) be the second derivative of l**5/5 - 107*l**4/3 + 1990*l**3/3 - 4850*l**2 - 1955*l. Factor w(r).
4*(r - 97)*(r - 5)**2
Let q(d) = 4*d**3 - 11*d**2 - 15*d + 29. Let c(j) = 13*j**3 - 10 + 4*j**2 - 14*j**3 + 4*j + j. Let o(n) = -7*c(n) - 2*q(n). Solve o(r) = 0.
-4, -3, 1
Let s(f) be the third derivative of 2*f**4 + 0*f - 6*f**2 - 17/2*f**3 + 1/20*f**5 + 1. Factor s(n).
3*(n - 1)*(n + 17)
Factor 14716733*b**4 - 14716883*b**4 - 443*b**3 + b**5 - 16*b**3.
b**3*(b - 153)*(b + 3)
Solve -5*x**5 + 25/2*x**2 + 5/2*x**4 + 0 + 35*x**3 - 15*x = 0.
-2, -1, 0, 1/2, 3
Let h(d) be the first derivative of 0*d + 0*d**2 - 100/21*d**3 - 10/7*d**4 - 4/35*d**5 - 78. Factor h(l).
-4*l**2*(l + 5)**2/7
Let l(g) be the third derivative of g**7/105 + 8*g**6/15 + 31*g**5/30 + 2*g**2 - 123. Factor l(z).
2*z**2*(z + 1)*(z + 31)
Let f(c) be the second derivative of -c - 1/180*c**6 - 1/120*c**5 + 13/72*c**4 + c**2 + 25/36*c**3 - 90. Suppose f(s) = 0. Calculate s.
-3, -1, 4
Let 18928 - 1/7*s**5 - 130315/7*s**3 + 395305/7*s**2 - 56680*s - 725/7*s**4 = 0. What is s?
-364, 1
Let k(f) = -7765*f + 124244. Let n be k(16). Solve -2*b + 0 + n*b**3 + 10/3*b**5 - 8*b**4 + 8/3*b**2 = 0.
-3/5, 0, 1
Let a(t) be the second derivative of t**7/42 - t**6/30 - 17*t**5/20 + 53*t**4/12 - 28*t**3/3 + 10*t**2 - 512*t + 2. Factor a(n).
(n - 2)**2*(n - 1)**2*(n + 5)
Let b(z) = 3*z - 9. Let m be b(5). Suppose m*y = -y + 28. Find x, given that 14*x**2 - 5*x**3 - 7*x + 4 - 5*x**2 + x**y - 2 = 0.
1, 2
Let r(j) = j**3 + 11*j**2 - 2*j - 19. Suppose -25 = 2*l - v, -4*l + 3*v = -2*v + 59. Let c be r(l). Find x such that 2*x**2 - c - 13 + 0 + 4*x = 0.
-4, 2
Let a(y) be the first derivative of -2*y**5/45 - 177*y**4 - 250632*y**3 - 133085592*y**2 - 7968. Factor a(z).
-2*z*(z + 1062)**3/9
Let k be -2 + (3 - -1) - 0*(-11)/110. Let u(j) be the first derivative of -1/10*j**4 + 0*j**k + 26 + 0*j - 2/15*j**3. Factor u(n).
-2*n**2*(n + 1)/5
Let v = 882 - 878. Determine l, given that 40*l**3 - 4*l + 0*l - 44*l**2 - 66*l**3 - 20*l - 5*l**v = 0.
-2, -6/5, 0
Suppose 34846/5*o + 106*o**2 + 2/5*o**3 - 35378/5 = 0. What is o?
-133, 1
Let b(g) be the first derivative of -2/21*g**3 - 19 + 0*g + 8/7*g**2. Determine n so that b(n) = 0.
0, 8
Suppose -5*n - 11 = -c, 26*c = 21*c + n + 31. Suppose -c*a = 15*a - 63. Factor 6*k + 6/7*k**4 - 20/7*k**2 - 12/7*k**a - 18/7 + 2/7*k**5.
2*(k - 1)**3*(k + 3)**2/7
Let y(u) be the second derivative of 0 - 5/42*u**7 - 79*u + 0*u**3 - 5/12*u**4 - 1/2*u**6 - 3/4*u**5 + 0*u**2. Solve y(g) = 0 for g.
-1, 0
Let m(t) = 3 - 3 + 1. Let w be (13 - 7) + 0 + -4 - 1. Let f(v) = -v**2 + 10. Let h(c) = w*f(c) - 6*m(c). Factor h(k).
-(k - 2)*(k + 2)
Let p(t) = 6*t**4 + 459*t**3 + 4545*t**2 + 4092*t + 30. Let y(s) = -3*s**4 - 230*s**3 - 2273*s**2 - 2046*s - 16. Let v(b) = -8*p(b) - 15*y(b). Factor v(x).
-3*x*(x + 1)*(x + 11)*(x + 62)
Let q(g) = -g + 2. Let y be q(0). Let t = -125/39 + 2437/663. Determine j so that -t - 8/17*j - 2/17*j**y = 0.
-2
Suppose -64*x + 104*x**2 - 2*x**3 + 119*x**2 - 311*x**2 - 96 + 118*x**2 = 0. Calculate x.
-1, 4, 12
Let -6 - 3/5*y**4 - 27/5*y**3 + 33/5*y**2 + 27/5*y = 0. What is y?
-10, -1, 1
Let b(h) be the first derivative of -h**4/18 - 28*h**3/3 - 840. Factor b(i).
-2*i**2*(i + 126)/9
Let -173 + 2*j**2 + 3*j + 344 - 5*j**2 - 3 = 0. Calculate j.
-7, 8
Let y(d) be the second derivative of -d**4/28 + 220*d**3/7 - 72600*d**2/7 - d + 2. Find c such that y(c) = 0.
220
Let z be ((-1898)/(-13) + 2)*1/2. Factor -2*o**2 + z*o - 77*o + 2*o**4 + 0*o**4 + 3*o**3.
o*(o - 1)*(o + 1)*(2*o + 3)
Let p be (-1)/15*-5*(15 - 468/36). What is t in -p*t**2 + 2/3*t**4 + 1/3*t**5 + 0 - 4/3*t**3 + t = 0?
-3, -1, 0, 1
Suppose -170*s - 24*s = -692 - 364 + 86. Factor 10/13*q**s + 128/13*q**3 + 0*q - 64/13*q**2 + 76/13*q**4 + 0.
2*q**2*(q + 4)**2*(5*q - 2)/13
Let p(w) be the third derivative of 0*w + 7/120*w**6 + 11/3*w**3 + 2*w**4 + 6*w**2 + 0 - 29/20*w**5. Let x(y) be the first derivative of p(y). Factor x(v).
3*(v - 8)*(7*v - 2)
Let h(z) be the second derivative of -z**8/84 - 2*z**7/105 + z**6/6 - z**5/5 + 21*z**2/2 - 53*z. Let s(r) be the first derivative of h(r). Factor s(p).
-4*p**2*(p - 1)**2*(p + 3)
Let d(o) be the first derivative of -o**7/4200 + o**6/450 - o**5/200 + 29*o**3/3 - 20. Let r(m) be the third derivative of d(m). Factor r(n).
-n*(n - 3)*(n - 1)/5
Suppose 753*f - 2251*f = 2772*f - 12810. Factor 64/7*p + 0 - 96/7*p**2 - 4/7*p**4 + 36/7*p**f.
-4*p*(p - 4)**2*(p - 1)/7
Suppose -1614*k + 3910 + 4944 = 2398. Factor 4/5*u**k - 8*u**2 + 32/5*u + 4/5*u**3 + 0.
4*u*(u - 2)*(u - 1)*(u + 4)/5
Let a = 195047 + -195045. Find i, given that -2025/7*i + 159/7*i**a - 2187/7 - 3/7*i**3 = 0.
-1, 27
Let q be ((-7)/154*2)/(4 + 108/(-24)). Let -q*w**4 + 6/11*w**3 + 2/11*w - 6/11*w**2 + 0 = 0. Calculate w.
0, 1
Suppose 6*c - 8*c + 4 = 0. Factor -j**2 - 4*j**c - 84*j + 14*j.
-5*j*(j + 14)
Let f(j) be the first derivative of -j**6/2 + 48*j**5/5 - 21*j**4 - 2*j**3 + 87*j**2/2 - 42*j + 122. Sup