/4 - 13*f**4/12 + 2*f**3/3 - 494*f. Factor a(x).
x*(x - 4)*(x - 1)**3
Let 36/7*m**3 + 48 - 356/7*m - 4/7*m**4 - 12/7*m**2 = 0. What is m?
-3, 1, 4, 7
Suppose -15*b = -43 - 17. Factor 52*j**3 - 3*j**4 - 20*j**4 - 19*j**2 - j**b + 16*j + 4*j**5 - 29*j**2.
4*j*(j - 2)**2*(j - 1)**2
Let w(y) be the first derivative of y**6/180 - 7*y**4/36 - 2*y**3/3 - 20*y**2 + 170. Let s(h) be the second derivative of w(h). What is k in s(k) = 0?
-2, -1, 3
Let a(v) be the third derivative of -v**7/840 - 83*v**6/480 - 81*v**5/80 - 241*v**4/96 - 10*v**3/3 - 807*v**2. Factor a(y).
-(y + 1)**3*(y + 80)/4
Let j(m) be the first derivative of m**4/30 - 2*m**3/45 - 56*m**2/15 - 96*m/5 - 7065. Factor j(s).
2*(s - 9)*(s + 4)**2/15
Let m(b) be the second derivative of 11/24*b**4 - b**3 - 1/10*b**5 + 9/8*b**2 + 1/120*b**6 - b - 1. Factor m(p).
(p - 3)**2*(p - 1)**2/4
Solve -2/3*x**4 - 98/3*x + 20 + 38/3*x**2 + 2/3*x**3 = 0.
-5, 1, 2, 3
Let h = -104 + 106. Find c, given that 6*c**5 + 8*c + 6*c - c**5 - 14*c - 60*c**h - 45*c**4 + 100*c**3 = 0.
0, 1, 2, 6
Let w(h) be the second derivative of h**6/10 + 2151*h**5/10 + 512653*h**4/4 - 514806*h**3 + 773286*h**2 - 7159*h. Factor w(b).
3*(b - 1)**2*(b + 718)**2
Let u(m) be the first derivative of -24*m**2 + 288/7*m - 1/14*m**4 + 50/21*m**3 + 184. Determine g so that u(g) = 0.
1, 12
Suppose -3*h + 10 = -2*p + 1, -15 = -5*h - 3*p. Suppose h*i = -i. Solve 0*j**4 + 0*j + 2/9*j**5 - 2/9*j**3 + 0 + i*j**2 = 0.
-1, 0, 1
Factor -1095120*h**2 - 704/3*h**4 - 27612*h**3 - 2/3*h**5 - 1067742*h + 0.
-2*h*(h + 1)*(h + 117)**3/3
Let u(t) be the third derivative of 1/560*t**8 + 0 - 1/50*t**5 - 8*t**2 + 11/200*t**6 + 4/5*t**3 - 3/10*t**4 - 3/175*t**7 + 0*t. Factor u(v).
3*(v - 2)**3*(v - 1)*(v + 1)/5
Let t(o) be the second derivative of 0*o**3 + 0*o**2 + 18 - 6*o**5 + o - 3*o**4 + 9/10*o**6 + 1/2*o**7. Solve t(r) = 0.
-3, -2/7, 0, 2
Suppose -14*r**2 - 16*r**2 + 391 + 493*r + 38*r**2 - 86 = 0. Calculate r.
-61, -5/8
Let w(k) = -133*k**2 + 14 - 1 + 15*k - 2*k**3 + 5*k - 3 + 47*k. Let x be w(-67). Let 22*l**2 + 4/3 - 40/3*l**3 - x*l = 0. Calculate l.
1/4, 2/5, 1
What is g in 57*g**2 + 9625*g + 1774 + 4589 - 1643 - 52*g**2 + 4900 = 0?
-1924, -1
Determine c so that -64*c**5 - 45*c**2 + 46*c**4 + 61*c**5 + 39*c**3 - 60*c**4 + 23*c**4 = 0.
-3, 0, 1, 5
Solve -8/3*p - 340/3*p**3 - 116*p**2 + 0 = 0.
-1, -2/85, 0
Let -135 - 417/2*n**2 + 15/2*n**4 - 873/2*n + 201/2*n**3 = 0. What is n?
-15, -1, -2/5, 3
Let j(k) be the third derivative of -1/180*k**5 + 0*k - 1/4*k**4 + 0 + 7*k**2 - 17/18*k**3. Factor j(b).
-(b + 1)*(b + 17)/3
Determine c, given that 5/2*c**3 + 1/4*c**4 - 8*c - 5 - 3/4*c**2 = 0.
-10, -1, 2
Let x(o) = -o**2 - 8*o + 8. Let a be x(-9). Let v be a/(-3) - (-924)/63. Find c, given that -v*c**4 + 5*c**3 - 15*c**2 + 10*c**2 + 8*c**3 + 2*c**3 + 5*c**5 = 0.
0, 1
Let t(m) be the first derivative of 3*m**4/20 + 804*m**3 + 1616040*m**2 + 1443662400*m + 4851. Let t(i) = 0. Calculate i.
-1340
Let z be (0 - (0 + 0))/(30*99/(-1485)). Let z + 1/2*c - 1/2*c**2 - 1/2*c**3 + 1/2*c**4 = 0. Calculate c.
-1, 0, 1
Determine i, given that 9*i - 7344*i**2 - 168 - i**3 - 7353*i**2 + 14720*i**2 - 43*i = 0.
-2, 4, 21
Let c(g) be the third derivative of -83*g**5/15 - 55*g**4 + 16*g**3/3 - 6*g**2 - 45. Factor c(m).
-4*(m + 4)*(83*m - 2)
Factor 160*r**2 + 440*r**2 + 51 + 280 + 275 + 1209*r - 3*r**3.
-3*(r - 202)*(r + 1)**2
Suppose 0 = 4*s - 7*y + 100, -105*s + 2*y = -102*s + 23. Factor -94/3 - 98/3*n**2 + 2/3*n**s + 190/3*n.
2*(n - 47)*(n - 1)**2/3
Let j(k) be the second derivative of -3*k**5/20 + 197*k**4/4 - 195*k**3 + 4*k - 25. Factor j(p).
-3*p*(p - 195)*(p - 2)
Let p be 235/(-45) + 5 + 6749/(-18). Let k = -374 - p. Factor -1/3*a - k*a**2 + 0 + 1/3*a**3 + 7/6*a**4.
a*(a - 1)*(a + 1)*(7*a + 2)/6
Let t = 1330 - 1328. Let s(r) be the first derivative of -17/3*r**3 + 0*r + 3*r**t + 4 + 5/4*r**4. Determine y, given that s(y) = 0.
0, 2/5, 3
Let l(t) = -t**2 - 186*t - 1078. Let q be l(-6). Let x be 5*(-2)/(-4)*2. Determine g, given that -59*g**3 + 5*g + x*g**q + 60*g**3 + g**2 = 0.
-5, -1, 0
Let w(n) be the second derivative of 5/9*n**4 + 2/45*n**6 - 17/60*n**5 - 2/9*n**3 - 133*n + 0*n**2 + 0. Solve w(g) = 0 for g.
0, 1/4, 2
Factor 4*s**2 + 202*s - 7*s**2 + 5*s**2 + 6*s**2 - 6*s**2 - 624.
2*(s - 3)*(s + 104)
Suppose -w - 7 = p, -3 = 4*p - 2*w - 5. Let r be p/(-390)*69 + (-2)/13. Suppose -1/5*a**3 + 0*a**2 + r*a + 1/10 - 1/10*a**4 = 0. Calculate a.
-1, 1
Factor -4*t**5 + 5*t**2 + 4101*t**3 + 3*t**2 - 4089*t**3.
-4*t**2*(t - 2)*(t + 1)**2
Let u(v) be the third derivative of v**6/210 - 29*v**5/210 + 3*v**4/7 + 5*v**3 + 5*v**2 + 15*v. Let g(a) be the first derivative of u(a). Factor g(l).
4*(l - 9)*(3*l - 2)/7
Let n(r) be the second derivative of -1/20*r**4 - 30 - 3*r - 363/10*r**2 + 11/5*r**3. Determine h, given that n(h) = 0.
11
Let v(u) be the second derivative of -u**5/80 - 7*u**4/48 + u**3/3 - 2*u + 583. Let v(c) = 0. What is c?
-8, 0, 1
Let k(a) = a**2 + a - 1. Let z(p) = -3*p**3 - 73*p**2 - 226*p + 301. Let m(o) = -k(o) - z(o). Solve m(v) = 0 for v.
-20, -5, 1
Let a(x) be the first derivative of 3/16*x**4 + 1/12*x**3 - x**2 + x + 48. Factor a(v).
(v - 1)*(v + 2)*(3*v - 2)/4
Suppose -16*k + 27 = -13*k. Factor 0*g**2 + 745*g - 764*g + 6 + 21*g**2 + g**4 - k*g**3.
(g - 6)*(g - 1)**3
Suppose 15*q + j - 7 = 11*q, -3*q = -4*j - 10. Factor -560*i + 2827 + 16349 + 5213 - 1963*i - i**3 + 87*i**q.
-(i - 29)**3
Let l be 7/((-21)/(-4734))*22/44. Let a = -5514/7 + l. Factor 3/7*z**2 + 0 + a*z.
3*z*(z + 3)/7
Let i = 93367/75 - 31114/25. Factor 841/3 - 19*h**2 + i*h**3 + 261*h.
(h - 29)**2*(h + 1)/3
Suppose 17*m = 1902 - 440. Let h be (2 - -1)/(87 - m). Factor 4/5*f**4 - 1/5*f**5 + 0*f - 3/5*f**h + 0 + 0*f**2.
-f**3*(f - 3)*(f - 1)/5
Let o(f) be the first derivative of 7/3060*f**6 - 5 + 14/3*f**3 + 0*f + 0*f**2 + 1/255*f**5 - 1/68*f**4. Let v(p) be the third derivative of o(p). Factor v(m).
2*(m + 1)*(7*m - 3)/17
Let q = 4471/20241 + 3/2249. Let b(o) = -4*o + 25. Let n be b(5). Let 0 - q*k**n + 128/9*k - 32/9*k**2 - 22/9*k**4 - 8*k**3 = 0. What is k?
-4, 0, 1
Let h(z) be the first derivative of z**3/9 + 20*z**2/3 - 1080. Factor h(k).
k*(k + 40)/3
Let r = 3349/18 + -3317/18. Factor 2/9*l**2 - 14/9*l - r.
2*(l - 8)*(l + 1)/9
Find d, given that 153 - 1/4*d**2 - 24*d = 0.
-102, 6
Let n(u) = -67*u**2 + 252*u + 2100. Let y(t) = -125*t**2 + 505*t + 4200. Let g(f) = -15*n(f) + 8*y(f). Factor g(o).
5*(o + 10)*(o + 42)
Let y(p) = -p**2 + 6*p - 5. Let a be y(4). Suppose -a*x + 30 = 2*x. Suppose 3*r - x*r**4 - 6*r**4 - 8*r - 5*r**2 - 3*r**4 + 25*r**3 = 0. Calculate r.
-1/3, 0, 1
Let g(i) be the first derivative of -i**4/24 + 113*i**3/18 - 55*i**2/6 - 112*i/3 - 1186. Factor g(l).
-(l - 112)*(l - 2)*(l + 1)/6
Factor -697 - 17 + 131 - 193 - 1528 + 20544*o - 45796*o**2.
-4*(107*o - 24)**2
Let n(s) be the first derivative of s**3 + 516*s**2 - 221. Suppose n(c) = 0. Calculate c.
-344, 0
Let t = -6/367883 - -8093468/2575181. Solve 114/7*v**2 + 0 - t*v**3 - 20/7*v = 0 for v.
0, 2/11, 5
Let p(g) be the second derivative of g**6/135 - 43*g**4/27 - 40*g**3/3 - 275*g**2/9 - 3133*g + 1. Let p(i) = 0. What is i?
-5, -1, 11
Let h be (18/(-12))/(3/702). Let k = -4561/13 - h. Solve 4/13*a**2 - 4/13*a**3 - 6/13*a**4 + k + 6/13*a - 2/13*a**5 = 0.
-1, 1
Factor 10193*b**3 + 3*b**4 + 64*b**2 - 10263*b**3 + b**4 + 136*b - 2*b**4.
2*b*(b - 34)*(b - 2)*(b + 1)
Let z(p) be the second derivative of -p**5/22 + 7*p**4/11 - 21*p**3/11 - 54*p**2/11 + 903*p. What is f in z(f) = 0?
-3/5, 3, 6
Factor -11583*n**4 - 33*n**2 - 54*n**3 - 9*n**3 + 3*n**5 + 11556*n**4.
3*n**2*(n - 11)*(n + 1)**2
Let s = 6832 + -6830. Let y(i) be the first derivative of -1/2*i**4 + 6/5*i**5 - 1/3*i**6 + 2*i**2 - 7 - s*i**3 + 0*i. Determine d so that y(d) = 0.
-1, 0, 1, 2
Suppose -4*f = 35 - 39. Let z(y) = 3*y**3 - 18*y**2 + 27*y + 48. Let a(k) = 8*k + 4*k + k**2 - 11*k. Let v(g) = f*z(g) - 3*a(g). Factor v(p).
3*(p - 4)**2*(p + 1)
Let g(r) = 2*r**3 + 6*r**2 - r + 4. Suppose -22*d - 45 = -7*d. Let z be g(d). Factor 10*a**2 - 13*a**3 + 4*a - z*a**3 - 2*a**3 + 12*a**4 - 4*a**4.
2*a*(a - 2)*(a - 1)*(4*a + 1)
Suppose 84 = 18*w - 222. Factor w*y - 273 + 357 - 4*y**2 - y.
-4*(y - 7)*(y + 3)
Let b(a) = -4*a**2 + 2*a + 2. Let c(m) = 2 - 7 - 3*m + 3 + 4*m**2. Let x = 