ve of 2*o**5/125 - 3*o**4/50 - 2*o**3/75 + 3*o**2/25 + 2766. Factor l(g).
2*g*(g - 3)*(g - 1)*(g + 1)/25
Let u = -259440 - -259445. Solve 1/3*a**4 - 7/3*a**3 - 1/3*a**2 + a**u + 4/3*a + 0 = 0.
-4/3, -1, 0, 1
Let v(c) be the first derivative of -5/7*c**2 - 2/21*c**3 + 50 + 0*c. Determine a, given that v(a) = 0.
-5, 0
Let w be (1026/(-148716)*-68)/((-1)/(-9)). Suppose -2/9*a**4 - w*a**3 - 34/3*a**2 - 98/9*a - 32/9 = 0. Calculate a.
-16, -1
Let j(o) = 5*o**2 - 290*o + 6155. Let n(t) be the second derivative of t**3/3 + t**2/2 - 85*t + 1. Let l(w) = -j(w) + 30*n(w). Factor l(k).
-5*(k - 35)**2
Let v(b) be the third derivative of -1/180*b**5 + 6*b + 0 - 5*b**2 + 1/6*b**3 - 1/36*b**4. Factor v(d).
-(d - 1)*(d + 3)/3
Let v be (-108 + -2)/(1/(2/(-4))). Let c be (-11)/v + 22/10. Factor -b**2 + 3*b**2 + 2*b**3 + b**4 - 5*b**4 + 2*b**4 - c*b.
-2*b*(b - 1)**2*(b + 1)
Let h(s) be the first derivative of s**4/24 - 67*s**3/9 - 137*s**2/3 - 92*s + 401. Solve h(a) = 0.
-2, 138
Let f(d) be the second derivative of d**6/15 - d**5/20 - 41*d**4/12 - 10*d**3/3 + 762*d. Solve f(p) = 0 for p.
-4, -1/2, 0, 5
Let l(k) be the first derivative of -k**5 - 255*k**4/4 + 265*k**3/3 + 255*k**2/2 - 260*k + 8622. Factor l(h).
-5*(h - 1)**2*(h + 1)*(h + 52)
Let r(i) = 34*i**2 + 3*i + 1. Let d(p) = 80*p**2 + 1444*p - 238. Let q(s) = -2*d(s) + 4*r(s). Factor q(z).
-4*(z + 120)*(6*z - 1)
Let -80*f + 6*f**2 - 13*f**2 + 9*f**2 + 76 + 2*f**2 = 0. Calculate f.
1, 19
Suppose -14*k - 8 = -4*y - 11*k, 0 = -4*k. Determine r so that 8 - 9*r**3 + 9*r - 28 + 3*r**y + 6 + 14 - 3*r**4 = 0.
-3, -1, 0, 1
Suppose h = -m - 25, -5*h + 2*m = 13 + 105. Let y be 1*(-15)/(-25)*(-20)/h. Factor -2*n + 4 - n**2 + y*n**3.
(n - 2)**2*(n + 2)/2
Let q(w) = 42*w**2 - 333*w - 122. Let a(b) = -b**2 + 14*b + 1. Let l(c) = -2*a(c) - q(c). Let l(u) = 0. Calculate u.
-3/8, 8
Suppose -9*x - 2*x + x = 0. Suppose x = -7*d + d + 18. Factor 0 + 2*o + 9/2*o**2 + 1/2*o**4 + d*o**3.
o*(o + 1)**2*(o + 4)/2
Let n = 76339 - 76339. Factor n*c**4 + 0 - 4/9*c**3 + 0*c**2 + 2/9*c**5 + 2/9*c.
2*c*(c - 1)**2*(c + 1)**2/9
Let z = -1595 - -1600. Let p be (-26)/(-39)*(-1)/(-2). Factor k**2 + 0 + 1/3*k**3 - 2/3*k + p*k**z - k**4.
k*(k - 2)*(k - 1)**2*(k + 1)/3
Let a(j) be the third derivative of j**8/1008 + 2*j**7/315 - j**6/360 - j**5/45 - 7*j**2 - 105. Solve a(o) = 0.
-4, -1, 0, 1
Let k(z) be the third derivative of -z**6/600 - 6*z**5/25 - 47*z**4/40 - 7*z**3/3 + 7*z**2 + 271*z. Determine h, given that k(h) = 0.
-70, -1
Let y(o) = 3*o - 1. Let d(l) = -l**2 + 197*l + 4. Let c(a) = -5*d(a) - 20*y(a). Factor c(k).
5*k*(k - 209)
Let o(c) be the third derivative of c**5/12 + 55*c**4/12 + 195*c**3/2 - 18*c**2 + c. Factor o(g).
5*(g + 9)*(g + 13)
Let f = 2044855/7 - 292119. Factor 16/7 + f*c**2 + 38/7*c.
2*(c + 1)*(11*c + 8)/7
Let b(o) be the third derivative of o**6/540 + 37*o**5/54 + 2821*o**4/36 - 961*o**3/3 + 337*o**2. Suppose b(f) = 0. Calculate f.
-93, 1
Let u(x) be the third derivative of 5*x**8/336 - x**7/2 + 137*x**6/24 - 93*x**5/4 + 135*x**4/4 - 2*x**2 + 374*x. Factor u(o).
5*o*(o - 9)**2*(o - 2)*(o - 1)
Let p(m) be the first derivative of m**5/2 - 35*m**4/12 - 10*m**3/3 - 96*m + 45. Let y(a) be the first derivative of p(a). Factor y(d).
5*d*(d - 4)*(2*d + 1)
Let c(r) be the first derivative of -r**4/14 - 172*r**3/7 + 519*r**2/7 - 520*r/7 - 1501. Solve c(h) = 0 for h.
-260, 1
Let k = -487/208 + 2047/208. Factor -45/4*y**2 + 0 - k*y**3 - 5/4*y**4 + 0*y.
-5*y**2*(y + 3)**2/4
Let c = 347596204915/3288 - 105716610. Let t = 1/1096 - c. Factor 1/3*z**3 + 2/3*z**2 - t - 4/3*z.
(z - 2)*(z + 2)**2/3
Let h(z) = 2*z**2 - 13*z - 3. Suppose 5*b + 26 = 3*r, 2*r = -2*b + 3*b + 15. Let j be h(r). Let -1 - 1 - 6*o**2 + j*o + 4*o**2 = 0. What is o?
1
Let g(i) be the first derivative of -2/9*i**3 + 5/12*i**4 + 0*i + 11/15*i**5 + 2/9*i**6 + 0*i**2 - 12. Solve g(y) = 0.
-2, -1, 0, 1/4
Let x(w) be the third derivative of -w**7/1785 - 2*w**6/51 - 5*w**5/34 + 10*w**4/51 + 76*w**3/51 + 1691*w**2. Determine m so that x(m) = 0.
-38, -2, -1, 1
Let b be 5 + 3 + 2 + 5. Let -210*g**2 + 207*g**2 - b*g + 29*g + 19*g = 0. Calculate g.
0, 11
Let v(j) be the first derivative of j**6/33 - 4*j**5/55 - 13*j**4/22 + 76*j**3/33 - 24*j**2/11 + 1568. Determine r, given that v(r) = 0.
-4, 0, 1, 2, 3
Suppose -w + 3*l = 4*l - 10, 7*w + 2*l = 85. Let d(t) be the second derivative of 0*t**2 - w*t + 0*t**5 - 5/4*t**4 + 2/3*t**6 + 0 + 5/6*t**3. Factor d(j).
5*j*(j + 1)*(2*j - 1)**2
Let q(k) = -7*k**3 + 84*k**2 + 316*k + 336. Let z(g) = 30*g**3 - 342*g**2 - 1260*g - 1344. Let c(l) = 9*q(l) + 2*z(l). Suppose c(f) = 0. Calculate f.
-2, 28
Let n = -3783095/7 + 540443. Determine p, given that n*p + 0 + 1/7*p**3 - 5/7*p**2 = 0.
0, 2, 3
Let k(z) = 23*z**3 + 35*z**2 + 81*z + 45. Let g(u) = 26*u**3 + 35*u**2 + 82*u + 45. Let f = -491 + 485. Let s(c) = f*g(c) + 7*k(c). Factor s(d).
5*(d + 1)*(d + 3)**2
Let i(h) = 800*h**4 + 6144*h**3 + 11858*h**2 - 4. Let s(p) = 1600*p**4 + 12284*p**3 + 23716*p**2 - 9. Let a(v) = -9*i(v) + 4*s(v). Suppose a(m) = 0. What is m?
-77/20, 0
Suppose -236 = -17*s - 49. Determine n, given that -7*n**4 + s*n**4 - 117*n**2 + 113*n**2 = 0.
-1, 0, 1
Let y be (-6)/(-36)*((-41)/11 + 3). Let o = 7/33 - y. Suppose 4/3*z - z**2 - o*z**4 - 4/3*z**3 + 4/3 = 0. Calculate z.
-2, -1, 1
Let k(v) be the second derivative of -1/6*v**4 - 1/10*v**5 + 0*v**3 + 0 - 1/60*v**6 - 29/2*v**2 - 16*v. Let u(a) be the first derivative of k(a). Factor u(b).
-2*b*(b + 1)*(b + 2)
Let z(o) = -639*o**4 + 6*o**3 + 629*o**2 + 4*o - 10. Let p(u) = u**2 - u + 1. Let n(c) = 10*p(c) + z(c). Find d, given that n(d) = 0.
-1, 0, 2/213, 1
Determine w so that 280*w - 604*w**3 + 727*w**4 + 20*w**2 + 30*w**5 - 306*w**3 - 130*w**4 - 242*w**4 = 0.
-14, -1/2, 0, 2/3, 2
Let j be 203/(-41) - 34/697. Let v be ((-600)/(-18))/j*5/(-75). Factor v*u**2 - 8/9*u + 0.
4*u*(u - 2)/9
Let g be (1426/(-92) - -18)*(36/(-375))/((-4)/10). Find v such that 12 - 63/5*v**2 + g*v**4 + 24/5*v**3 - 24/5*v = 0.
-10, -1, 1, 2
Let l(i) = -165*i - 6435. Let y be l(-39). Find n, given that -65/7*n**2 - 4/7*n**4 + 37/7*n**3 + 2*n + y = 0.
0, 1/4, 2, 7
Suppose 0 = -3*d - 5*s + 15, 5*d + 6 = -2*s + 31. Factor 100*y + 28*y - d*y**2 - 58*y.
-5*y*(y - 14)
Let t(v) be the second derivative of 0*v**2 - 55/6*v**3 + 0 - 8*v + 5/12*v**4. Let t(k) = 0. Calculate k.
0, 11
Let v(r) be the second derivative of 3*r**5/4 - 179*r**4/6 - 288*r**3 - 112*r**2 + 5345*r. Factor v(x).
(x - 28)*(x + 4)*(15*x + 2)
Let p(g) = 7*g**2 - 159*g - 178. Let k(n) = n**2 - 8*n + 1. Let o(d) = 24*k(d) - 3*p(d). Find s such that o(s) = 0.
-93, -2
Suppose -6 = 2*o - 2, 0 = 5*b - 3*o - 21. Suppose c + 10 = 5*j, b*c + 10 = 79*j - 74*j. Factor 5/2*i - 3 - 1/2*i**j.
-(i - 3)*(i - 2)/2
Let u(f) be the first derivative of f**4/4 + 31*f**3 + 2883*f**2/2 - 195*f + 55. Let v(w) be the first derivative of u(w). Factor v(y).
3*(y + 31)**2
Let g be (-2)/22 + (-15873)/(-18876). Factor -g*s**3 + 0 - 1/2*s**2 - 1/4*s**4 + 0*s.
-s**2*(s + 1)*(s + 2)/4
Let k(m) be the first derivative of 2*m**3/45 - 353*m**2/15 - 3744. Factor k(n).
2*n*(n - 353)/15
Let x(l) = l**4 - 2*l**3 + l - 1. Let k(t) = -7*t**4 + 146*t**3 - 4353*t**2 - 9118*t - 4618. Let c(d) = -k(d) - 6*x(d). Suppose c(m) = 0. What is m?
-1, 68
Let -5*o**4 + 22*o**3 - 654*o**2 + 1248*o**2 - o**5 - 610*o**2 = 0. What is o?
-8, 0, 1, 2
Let m(o) be the third derivative of -o**5/12 + 15*o**3/2 - 2*o**2 - 125. Find v such that m(v) = 0.
-3, 3
Let b(y) be the first derivative of 1/3*y**4 + 0*y + 83 + 16/9*y**3 + 8/3*y**2. Find u, given that b(u) = 0.
-2, 0
Let r = 95327 - 95320. Solve -r*g + 9/2 + 5/2*g**2 = 0.
1, 9/5
Let z(d) be the third derivative of 1/5*d**5 - d**2 - 13/3*d**4 + 0*d + 130 + 32/3*d**3. Determine r so that z(r) = 0.
2/3, 8
Let v(g) be the third derivative of -g**5/45 - 49*g**4/18 + 68*g**3/3 - 3*g**2 - 16. Find a, given that v(a) = 0.
-51, 2
Suppose 17*q + 26*q - 48*q = -28*q. Suppose 2/5*u**2 + q + 4/15*u**3 + 2/15*u = 0. What is u?
-1, -1/2, 0
Determine a, given that 182*a**2 - 1583*a**3 + 536*a**3 - 168*a + 553*a**2 + 12 - 108*a**5 + 576*a**4 = 0.
1/6, 1, 2
Let s(p) be the third derivative of -1/1155*p**7 - 4/165*p**5 - p**2 - 1/132*p**6 - 1/33*p**4 + 0*p**3 + 0*p + 49. Factor s(j).
-2*j*(j + 1)*(j + 2)**2/11
Let h be 