 c(o) be the third derivative of 7*o**2 + 1/1155*o**7 + 6*o + 0 + 0*o**4 - 1/330*o**5 - 1/1848*o**8 + 0*o**3 + 1/660*o**6. Find f such that c(f) = 0.
-1, 0, 1
Let y(o) be the first derivative of -5*o**4/2 + 4235*o**3/3 - 223660*o**2 - 224720*o + 858. Solve y(t) = 0 for t.
-1/2, 212
Let o(z) = -5*z**3 - 19*z**2 - 17*z - 34. Let h(u) = 3*u + 5*u**2 + u**3 + 0*u + 0*u**2 + 6 - 2*u**2. Let w(m) = 34*h(m) + 6*o(m). Factor w(f).
4*f**2*(f - 3)
Let f(o) be the third derivative of 4/15*o**3 + 0*o - 139*o**2 - 3/350*o**7 - 1/4*o**4 + 13/300*o**5 + 0 + 3/100*o**6. Let f(j) = 0. What is j?
-4/3, 1/3, 1, 2
Let k(m) = -59*m**3 - 247*m**2 - 939*m + 1185. Let p(o) = 142*o**3 + 618*o**2 + 2346*o - 2962. Let u(t) = -12*k(t) - 5*p(t). Solve u(g) = 0 for g.
-59, -5, 1
Suppose 0 = -13*y + 8*y + 80. Let -16*q**5 - 17 - 212*q**3 - 43 - 112*q**4 + y*q**2 - 12 + 204*q = 0. Calculate q.
-3, -2, 1/2
Let -3554/5*c + 1774/5*c**2 + 1778/5 + 2/5*c**3 = 0. What is c?
-889, 1
Let b(t) = 2*t**3 - 41*t**2 + 50*t + 33. Let r be b(19). Let z be 40/r - 12/(-10). Factor -z*v**3 + 0 + 0*v**2 + 4/5*v.
-4*v*(v - 1)*(v + 1)/5
Let j = 66 - 68. Let z be (-129)/(-12) + j/(-8). Let -27*b**3 - 3*b**4 - z*b + 1547*b + 46*b**3 - 576*b**2 + 53*b**3 = 0. Calculate b.
0, 8
Suppose -74*m + 1149833 = 1149611. Let 112/3*d**2 + 1/6*d**4 + 29/6*d**m + 98/3*d + 0 = 0. Calculate d.
-14, -1, 0
Let w(g) = 42*g**4 + 21*g**3 - 165*g**2 - 228*g + 375. Let r(d) = 11*d**4 + 5*d**3 - 41*d**2 - 57*d + 94. Let b(f) = 15*r(f) - 4*w(f). Solve b(x) = 0 for x.
-5, -2, 1, 3
Let z be (-1540)/(-924) + (-89)/57 - (520/(-114) + 2). Factor -z*s + 0 + 2/3*s**2.
2*s*(s - 4)/3
Let g(l) be the first derivative of l**7/490 - l**6/140 - l**5/20 - l**4/14 + l**2/2 - 65*l - 41. Let j(z) be the second derivative of g(z). Factor j(q).
3*q*(q - 4)*(q + 1)**2/7
Factor 1/4*u**2 + 672*u + 451584.
(u + 1344)**2/4
Factor 0*x - 36*x**4 + 0 - 106/3*x**2 - 1/3*x**5 - 71*x**3.
-x**2*(x + 1)**2*(x + 106)/3
Let l(w) be the second derivative of -w**4/72 + 281*w**3/18 - 78961*w**2/12 + 850*w. What is x in l(x) = 0?
281
Suppose -7*v - 4*t + 80 = -3*v, 2*v + t - 35 = 0. Let o(s) = s - 12. Let i be o(v). Factor 8*d**3 + 43*d**3 - i*d**3 - 4*d**4 - 11*d**2 + 256*d - 181*d**2.
-4*d*(d - 4)**3
Suppose -12*n - 216 + 240 = 0. Suppose 0 = -3*s - n*s + 7*s. Solve s*b**2 + 2/3*b**3 + 4/3 - 2*b = 0.
-2, 1
Let z be ((-1326)/1170)/((-5)/30). Determine f, given that 14/5*f**4 + 0 - 2/5*f**5 + z*f**2 - 34/5*f**3 - 12/5*f = 0.
0, 1, 2, 3
Suppose 6*d = -3*d + 18. Suppose 5*s = -4*g + 42, s + 0*g + 4*g - 18 = 0. Factor -20 - q**3 - 163*q + s*q**3 + 203*q - 25*q**d.
5*(q - 2)**2*(q - 1)
Let s = 40918 + -1841308/45. Let d(i) be the second derivative of 0*i**2 - 7/90*i**4 - 8*i + 0 + s*i**3. Factor d(b).
-2*b*(7*b - 2)/15
Determine v, given that 0 + 16/7*v**2 - 4/7*v**4 + 0*v - 2/7*v**5 + 8/7*v**3 = 0.
-2, 0, 2
Factor -4*q**2 - 138*q**2 + 25*q**2 + 96*q - 4*q**4 - 36*q**3 + 61*q**2.
-4*q*(q - 1)*(q + 4)*(q + 6)
Let o = -12640219/7 + 1805757. Suppose o*b + 12/7*b**3 + 4/7*b**5 - 4*b**4 + 0 + 124/7*b**2 = 0. What is b?
-1, 0, 4, 5
Let x be 9/(-30)*4*23/(-276). Let j(c) be the second derivative of 32*c - x*c**6 + 0 - c**3 + 3/10*c**5 + 0*c**4 + 3/2*c**2. Factor j(a).
-3*(a - 1)**3*(a + 1)
Factor 2/11*d**2 + 12450050/11 - 9980/11*d.
2*(d - 2495)**2/11
Let c(v) be the first derivative of v**6/54 - 2*v**5/45 - 23*v**4/36 + 8*v**3/9 + 8*v**2 + 918. Factor c(l).
l*(l - 4)**2*(l + 3)**2/9
Factor -1/4*m**3 - 23095/4*m + 72075/4 - 307/4*m**2.
-(m - 3)*(m + 155)**2/4
Let w(m) be the second derivative of 2*m**5/15 - m**4/36 - 4*m**3/9 + m**2/6 - 4*m - 1. Find g, given that w(g) = 0.
-1, 1/8, 1
Let q(u) be the first derivative of -8*u**2 + 20*u - 4/3*u**3 + 79. Factor q(x).
-4*(x - 1)*(x + 5)
Let h(j) be the first derivative of -4/11*j**2 - 2/55*j**5 + 8/33*j**3 + 1/22*j**4 + 0*j - 30. Find u, given that h(u) = 0.
-2, 0, 1, 2
Let r(g) be the second derivative of g**6/60 + 3*g**5/20 + g**4/3 - 2031*g. Suppose r(m) = 0. What is m?
-4, -2, 0
Let y(z) be the second derivative of z**4/60 + 7*z**3/5 + 8*z**2 - 10*z + 19. What is x in y(x) = 0?
-40, -2
Suppose 10*x - 5*u = 5*x + 20, 2*u - 8 = -2*x. Factor 0*s - 6*s**2 - 10*s - s**x + 6*s + 3*s**4.
2*s*(s - 2)*(s + 1)**2
Let y(b) be the second derivative of 2*b**6/15 + 59*b**5 + 9888*b**4 + 718848*b**3 + 12386304*b**2 - 1056*b. Factor y(i).
4*(i + 7)*(i + 96)**3
Let n = -28 - -31. Suppose 7*f = n*f + 100. Factor -3 + f*s**2 - 21*s**2 - 1.
4*(s - 1)*(s + 1)
Suppose 2*i - 3*m - 2876 = -m, 4*m = -i + 1413. What is w in -1436*w**2 + 72 + i*w**2 + 14*w + 16*w = 0?
-2, 12
Let x(c) be the first derivative of -c**4/12 - 20*c**3/9 + 121*c**2/6 - 100*c/3 + 584. Factor x(w).
-(w - 4)*(w - 1)*(w + 25)/3
Let x(p) be the first derivative of -p**3/3 - 172*p**2 + 345*p - 3407. Factor x(b).
-(b - 1)*(b + 345)
Let s = -23422 + 23422. Let a(u) be the first derivative of 0*u**3 + 0*u**2 + 1/12*u**6 + s*u + 0*u**5 + 29 - 1/8*u**4. Determine k, given that a(k) = 0.
-1, 0, 1
Let h = -95990 - -671952/7. Solve 0 + 12/7*r**3 + 12/7*r + h*r**2 + 2/7*r**4 = 0.
-3, -2, -1, 0
Factor -3571*a**4 + 96*a + 3575*a**4 + 15*a**2 + 44*a**3 - 32*a**2 + 153*a**2.
4*a*(a + 1)*(a + 4)*(a + 6)
Suppose -13*f - 1512 = -4*f. Let d be ((-90)/120)/(-9*(-3)/f). Factor 11/2*h + 5/6*h**3 - 3 + d*h**2.
(h + 3)**2*(5*h - 2)/6
Let g(a) = a**3 - 14*a**2 - 2*a + 28. Let v be g(14). Suppose v = 2*f - n - 6139, 0 = 3*f + 9*n - 6*n - 9195. Factor -5 - 3048*u + 30 + f*u - 5*u**2.
-5*(u - 5)*(u + 1)
Let d(k) be the second derivative of -k**4/20 + 81*k**3/10 + 249*k**2/5 + 1026*k. What is b in d(b) = 0?
-2, 83
Let c be (-9)/2*3/(-9). Let v = -150607 - -150611. Suppose c*p**v - 6*p - 6*p**3 + 3/2 + 9*p**2 = 0. What is p?
1
Let i(l) be the third derivative of l**6/45 + 31*l**5/90 + 5*l**4/9 - 7*l**3/9 - 331*l**2. Suppose i(w) = 0. What is w?
-7, -1, 1/4
Let k(n) = -n**3 + 7*n**2 - 7*n + 9. Let t be k(6). Suppose -17*v**t + 6 - 10*v - 11*v**3 + 3*v + 29*v**3 = 0. What is v?
-3, 1, 2
Factor -138*z - 275/2 - 1/2*z**2.
-(z + 1)*(z + 275)/2
Solve 1/4*v**5 + 3/2*v**2 - 5/4*v + v**3 - 3/2*v**4 + 0 = 0 for v.
-1, 0, 1, 5
Let p(i) be the second derivative of -93 - 1/35*i**5 - 2*i - 2/21*i**4 - 48/7*i**2 + 40/21*i**3. Factor p(w).
-4*(w - 2)**2*(w + 6)/7
Let b(t) be the third derivative of t**5/15 + 9*t**4 - 114*t**3 - 3933*t**2. What is c in b(c) = 0?
-57, 3
Let d(j) be the third derivative of j**8/252 + j**7/18 + 11*j**6/40 + 9*j**5/20 - 3*j**4/8 + 13*j**2 + 44. Factor d(n).
n*(n + 3)**3*(4*n - 1)/3
Let q be 6/12 - 13/(-2) - 0. Suppose q*c - 12*c = -15. Factor -7*l**c + 10 - 5*l - 10 + l**4 + 11*l**2.
l*(l - 5)*(l - 1)**2
Let m(o) be the second derivative of o**4/3 + 4460*o**3/3 + 2486450*o**2 + 4089*o. Suppose m(i) = 0. Calculate i.
-1115
Let h = 13401/20 - 40163/60. Factor -h*d**4 - 236/3*d**2 - 208*d + 16*d**3 - 338/3.
-2*(d - 13)**2*(d + 1)**2/3
Let a(w) = 5*w**3 + 250*w**2 - 11*w - 550. Let o be a(-50). Factor -11/3*m + o + 10/3*m**2 + 1/3*m**3.
m*(m - 1)*(m + 11)/3
Let m(s) be the third derivative of 0*s - 2/21*s**3 + 1/420*s**6 - 1/84*s**4 + 1/105*s**5 + 0 - 5*s**2. Factor m(v).
2*(v - 1)*(v + 1)*(v + 2)/7
Let j(s) be the first derivative of s**4/2 + 18*s**3 + 146*s**2 + 240*s - 742. Let j(y) = 0. Calculate y.
-20, -6, -1
Suppose 1556*t = 1567*t. Let g(z) be the second derivative of t + 0*z**2 - 8*z + 3/20*z**5 + 1/4*z**4 - 1/2*z**3 - 1/10*z**6. Factor g(s).
-3*s*(s - 1)**2*(s + 1)
Let n(g) be the third derivative of -81*g**8/896 + 603*g**7/560 - 4*g**6/5 + 7*g**5/40 - 481*g**2. Factor n(d).
-3*d**2*(d - 7)*(9*d - 2)**2/8
Let t = 557773/929630 + 1/185926. Determine h so that -8748/5 - t*h**2 - 324/5*h = 0.
-54
Let u(q) be the first derivative of -q**4/3 + 50*q**2 + 247*q - 263. Let g(a) be the first derivative of u(a). Factor g(k).
-4*(k - 5)*(k + 5)
Factor -17/8*k**3 + 240 + 52*k - 25/4*k**2 - 1/8*k**4.
-(k - 5)*(k + 6)*(k + 8)**2/8
Suppose 5*i + 133*i = 414. Let l(b) be the first derivative of -14 - 3/2*b**2 + 0*b - 1/3*b**i. Solve l(u) = 0 for u.
-3, 0
Let j(y) be the third derivative of y**8/448 + 41*y**7/840 + 157*y**6/480 + 57*y**5/80 + 5*y**4/24 - 4*y**3/3 + 514*y**2. Suppose j(f) = 0. What is f?
-8, -4, -1, 1/3
Let g be (12 - (-348)/(-28)) + 2676/462 - 3. Factor 18/11*f**4 + 40/11*f**3 + 