et -1303/3*d**2 - 778/3*d + 520/3 - 5/3*d**3 = 0. Calculate d.
-260, -1, 2/5
Suppose 506 - 713 - 973 = -295*v. Factor 0*r + 70/3*r**3 - 25/3*r**2 + 0 - 49/3*r**v.
-r**2*(7*r - 5)**2/3
Let o(a) = a**3 + 50*a**2 + 450*a - 4646. Let c be o(-28). Factor -20/7 + 2/7*g**c - 6/7*g.
2*(g - 5)*(g + 2)/7
Factor -16*z**3 - 3*z**4 + 432*z**2 + z**3 - 81*z**3.
-3*z**2*(z - 4)*(z + 36)
Let l be (47 + 0)*2*(-7 + (-75)/(-10)). Let o(p) be the second derivative of l*p + 0 + 4/9*p**2 + 0*p**3 - 1/54*p**4. Factor o(z).
-2*(z - 2)*(z + 2)/9
Let l(a) = 7*a + 30. Let v be l(-4). Solve 75*o - 3*o**2 + 39*o**3 - 114*o - 6*o**v + 9 = 0 for o.
-1, 3/13, 1
Suppose -13 = -5*p + a, 4*p = -11*a + 12*a + 10. Factor 3 - 1/2*r**p + 0*r**2 + 7/2*r.
-(r - 3)*(r + 1)*(r + 2)/2
Let h(f) be the third derivative of 0*f + 5/132*f**4 + 0 + 1/330*f**5 - 68*f**2 - 1/660*f**6 + 1/11*f**3. Factor h(c).
-2*(c - 3)*(c + 1)**2/11
Let h(o) be the second derivative of -o**4/20 + 151*o**3/10 - 447*o**2/5 - 26*o + 21. What is b in h(b) = 0?
2, 149
Let h(m) be the first derivative of 2*m**3/9 - 227*m**2/3 + 452*m/3 + 720. Determine a, given that h(a) = 0.
1, 226
Let b(z) be the first derivative of z**7/5460 + z**6/260 - 4*z**5/65 + z**4/3 - 72*z**3 - 194. Let i(g) be the third derivative of b(g). What is l in i(l) = 0?
-13, 2
Solve -1/2*q**4 + 11/2*q - 11/2*q**3 - 6 + 13/2*q**2 = 0 for q.
-12, -1, 1
Factor 58*v + 5*v**2 + 376*v - 568 - 24*v - 707.
5*(v - 3)*(v + 85)
Let o = 1769 - 21209/12. Let c(r) be the third derivative of 0*r + 1/60*r**6 - 4/15*r**5 - 28*r**2 - o*r**4 + 0 - 10/3*r**3. Find v such that c(v) = 0.
-1, 10
Let i(d) be the third derivative of 16/3*d**3 + 49 + 0*d - 1/420*d**6 + d**2 + 10/21*d**4 - 1/210*d**5. Factor i(q).
-2*(q - 7)*(q + 4)**2/7
Let c(q) = -16*q - 252. Let s be c(-16). Solve 5*v**s - 170*v**5 - 16*v - 33*v**3 - 40*v**2 + 169*v**5 - 15*v**4 = 0 for v.
-4, -1, 0
Let h = -2068 - -2078. Suppose 12*q = h + 14. Find f such that -4/3*f**5 + 8/3*f**3 + 8/3*f**4 + 8/3 - 4/3*f - 16/3*f**q = 0.
-1, 1, 2
Let d(r) be the first derivative of r**6/360 - 6*r**5/5 + 216*r**4 - r**3 - 3*r + 19. Let w(s) be the third derivative of d(s). Find j, given that w(j) = 0.
72
Let b(u) be the second derivative of -3*u**5/20 - 5*u**4/2 - 3*u**3/2 + 81*u**2 + 13*u + 20. Factor b(f).
-3*(f - 2)*(f + 3)*(f + 9)
Let p = 642 - 640. Find z such that 219 - 26*z**p - 219 - 2*z**4 - 20*z**2 + 19*z**3 - 67*z**3 = 0.
-23, -1, 0
Let u(o) be the second derivative of 1/4*o**5 + 14*o + 25/6*o**3 + 0*o**2 - 2 + 5/2*o**4. Factor u(g).
5*g*(g + 1)*(g + 5)
Let y(h) be the third derivative of -h**8/11200 + 3*h**7/700 - 17*h**6/1200 - 23*h**4/24 + h**2 - 14. Let j(n) be the second derivative of y(n). Factor j(x).
-3*x*(x - 17)*(x - 1)/5
Let g(x) be the second derivative of -4/9*x**2 + 0 - 1/27*x**4 + 2/9*x**3 - 34*x. Find w such that g(w) = 0.
1, 2
Let k be (-390)/(-312) + 10/(-9). Let z(d) be the first derivative of 0*d**2 + 2/27*d**3 + 6 + k*d**4 + 0*d. Determine o, given that z(o) = 0.
-2/5, 0
Factor -2/23*b**3 + 16 + 100/23*b**2 - 376/23*b.
-2*(b - 46)*(b - 2)**2/23
Let f(b) be the third derivative of 2*b**3 - 1/8*b**6 + 2*b**2 + 1/70*b**7 - 1/4*b**5 + 1/112*b**8 - 84 + 0*b + 1/2*b**4. Determine x so that f(x) = 0.
-2, -1, 1, 2
Factor -3*y**4 - 9780*y - 60*y**3 + 132*y**2 + 9780*y.
-3*y**2*(y - 2)*(y + 22)
Let l = 18/19949 - 50850145/159592. Let j = l + 319. Factor j*f**2 + 1/8*f**3 + 1/8 + 3/8*f.
(f + 1)**3/8
Let s(q) = 34*q**4 + 4*q**3 + 104*q**2 + 8*q + 18. Let o(h) = 2*h**4 - 2*h**3 + h**2 - 2*h + 1. Let v(g) = -18*o(g) + s(g). Factor v(p).
-2*p*(p - 22)*(p + 1)**2
Let i(u) be the third derivative of u**5/60 - 5*u**4/6 + 19*u**3/6 + 2939*u**2. Factor i(z).
(z - 19)*(z - 1)
Let z be (-108)/(-100)*5*((7 - 1) + -5). Find k such that -2/5*k**5 - z - 54/5*k - 18/5*k**2 + 16/5*k**3 + k**4 = 0.
-3/2, -1, 3
Let d(j) be the first derivative of -j**4/22 + 18*j**3 - 21903*j**2/11 - 44402*j/11 - 1553. Factor d(g).
-2*(g - 149)**2*(g + 1)/11
Let h(n) be the first derivative of 4*n**5/35 - 5*n**4/7 - 4*n**3/7 + 26*n**2/7 + 40*n/7 - 9024. Determine x, given that h(x) = 0.
-1, 2, 5
Let a = -744002 + 744002. Find h such that 39*h**2 + 3/2*h + a = 0.
-1/26, 0
Suppose 7*v - 8 - 34 = 0. Factor -4*j**2 + 6*j**3 - 16*j - v*j**3 + 4*j**3 - 4*j - 12.
4*(j - 3)*(j + 1)**2
Let q(b) be the second derivative of -2/105*b**7 - 4/25*b**6 + 0*b**2 + 5*b + 4*b**4 - 40/3*b**3 + 11/25*b**5 + 10. Factor q(j).
-4*j*(j - 2)**2*(j + 5)**2/5
Let x(f) = 6*f**2 - 179*f - 1043. Let t be x(-5). Determine k, given that 13/2*k**t + 3*k**3 - 1/3 + 5/6*k = 0.
-2, -1/3, 1/6
Suppose o + 4 = 3*x, -5*x = -o - 2*o - 4. Suppose -30 = -3*y + 5*l, y - x*l = -7*l - 10. Factor -2*m**4 + 51 - 51 + 2*m**y.
2*m**4*(m - 1)
Let f = -9734/5 - -1951. Factor 0 - 1/5*m - f*m**3 + 2*m**2.
-m*(3*m - 1)*(7*m - 1)/5
Let l(a) be the third derivative of -a**5/150 - 43*a**4/10 - 257*a**3/15 - 1286*a**2. Factor l(s).
-2*(s + 1)*(s + 257)/5
Factor -2*g**4 + 461501*g - 473669*g - 12480*g**2 - 221*g**3 - 93*g**3.
-2*g*(g + 1)*(g + 78)**2
Let x(j) = -j**2 + j - 4. Let c be x(5). Let u be c/2*36/(-48). Factor 3 + 5*n**3 - 5*n + 1 - u*n**2 + 4*n**2 + 1.
5*(n - 1)**2*(n + 1)
Let b(a) be the third derivative of a**6/8 + 29*a**5/6 - 535*a**4/24 - 35*a**3 - 4*a**2 - 41*a. Factor b(q).
5*(q - 2)*(q + 21)*(3*q + 1)
Let n = -43 - -45. Suppose -n*d + 5*d = 15. Factor d*s + 9*s**3 - 4*s - 2 - 4*s - 4*s.
(s - 1)*(3*s + 1)*(3*s + 2)
Let h(n) be the first derivative of n**3/5 - 3*n**2/5 - 117*n + 720. Factor h(w).
3*(w - 15)*(w + 13)/5
Suppose 0 = -7*w + 2*w + 225. Factor 2*g**5 - 51*g**4 + 48*g**4 - w*g**3 - 30*g - 69*g**2 + g**5.
3*g*(g - 5)*(g + 1)**2*(g + 2)
Let b = -1386414 - -18041120/13. Let -b*d**3 + 14868/13*d**2 + 400/13 + 686/13*d**4 - 4216/13*d = 0. Calculate d.
2/7, 25
Let c(d) = d. Let w(m) = 1 - 2 + 6*m + 1 - 4*m**2. Let r be (4/12)/((-2)/(-6)). Let p(q) = r*w(q) - 4*c(q). Factor p(h).
-2*h*(2*h - 1)
Let u be 1*(-26)/(-10)*(161 - 6). Let t = u + -3221/8. Factor 1/8*g**2 - 1/8 + t*g**3 - 3/8*g.
(g - 1)*(g + 1)*(3*g + 1)/8
Suppose 3*r = 17*r. Let l be -1 + 1 + r - 738/(-492). Factor 6 - l*u**2 + 9/2*u.
-3*(u - 4)*(u + 1)/2
Let x(w) be the first derivative of 90 + 3*w**2 - 5*w - 1/3*w**3. Let x(g) = 0. Calculate g.
1, 5
Let h(m) = -22*m**3 - 595*m**2 - 1298*m - 604. Let j(n) = -15*n**3 - 593*n**2 - 1297*n - 603. Let b(t) = 3*h(t) - 4*j(t). Solve b(v) = 0.
-3/2, -2/3, 100
Let x be 4/(-15)*((-27)/144)/((-5)/(-20)). Factor x*q**2 + 0 - 4/5*q.
q*(q - 4)/5
Let s(o) = 4*o**4 - 4*o**3 + 154*o**2 + 144*o - 290. Let u(a) = 4*a**4 + a**2 - 1. Let i(p) = s(p) - 2*u(p). Find z such that i(z) = 0.
-6, -2, 1, 6
Let u(x) be the second derivative of -2*x**6/15 + 5*x**5 + 28*x**4/3 - 104*x**3/3 - 1054*x. Factor u(h).
-4*h*(h - 26)*(h - 1)*(h + 2)
Let m(x) = -19*x**2 + 121*x + 742. Let s(g) = -24*g**2 + 123*g + 742. Let v(f) = -5*m(f) + 4*s(f). Factor v(n).
-(n + 7)*(n + 106)
Suppose -6*p - 134 + 344 = 0. Let n = -32 + p. Factor -2*u**3 + 56*u**4 + 5*u**n - 25*u**4 - 28*u**4.
3*u**3*(u + 1)
Let k(d) be the second derivative of 9/16*d**2 + 5/24*d**3 + 0 + 1/96*d**4 + 215*d. Factor k(m).
(m + 1)*(m + 9)/8
Let v be -6*4/132 - 35/(-11). Determine i, given that -72 - 143*i**2 + 288*i**2 - 151*i**2 - 3*i**v + 60*i = 0.
-6, 2
Let d(a) = 8*a - 25. Let c be d(4). Let i(p) be the first derivative of 15*p - 9 + 15*p**2 - 12 - 6*p + c*p**3 - 7. Determine k so that i(k) = 0.
-1, -3/7
Let w = 39526 + -118562/3. Determine a, given that -2/3*a**2 - w - 6*a = 0.
-8, -1
Suppose 0 = r - b + 2 - 13, 2*r = b + 26. Suppose -5*a - 8 = g + r, -3*a - 23 = -4*g. Let 13*q**g - 12 - 10*q + 9*q**2 - 25*q**2 - 2*q = 0. What is q?
-2
Let l be 55/7 + (-3)/(-21). Factor 213630*g - 1 - 6*g**3 - 213624*g + l*g**2 - 8 + g**4.
(g - 3)**2*(g - 1)*(g + 1)
Let t = 312 + -311. Suppose 2*k + 5*i = 29, 5*k - 34 = -5*i + t. Solve -1/2*p**k + 3/2 + p = 0.
-1, 3
Let m be 62/((-17360)/294)*32/(-12). Find z, given that m*z**2 - 36/5*z + 16/5 = 0.
4/7, 2
Let r = 820760 + -820757. Let 0 + 16/5*v + 1/5*v**r - 2*v**2 = 0. Calculate v.
0, 2, 8
Let c(x) be the third derivative of 0*x + 7/24*x**4 + 49/6*x**3 - 77*x**2 + 0 + 1/240*x**5. Factor c(o).
(o + 14)**2/4
Let b(i) be the first derivative of -i**4/12 - 13*i**3/9 - 23*i**2/6 - 11*i/3 + 1428. Supp