ate b.
-5, -3, -2, 0
Factor -165/2*c - 3/2*c**2 - 81.
-3*(c + 1)*(c + 54)/2
Let c(g) be the first derivative of 3 + 0*g**2 + 1/33*g**3 - 13*g + 0*g**4 - 1/110*g**5. Let d(q) be the first derivative of c(q). Factor d(a).
-2*a*(a - 1)*(a + 1)/11
Let k(r) be the second derivative of -r**7/1470 + r**6/420 - r**5/420 - 61*r**2 - 3*r - 1. Let f(d) be the first derivative of k(d). Factor f(q).
-q**2*(q - 1)**2/7
Let u = -49336 - -49336. Determine p, given that -4/3*p - 8/9*p**3 + u + 2/9*p**4 - 22/9*p**2 = 0.
-1, 0, 6
Let d(n) be the third derivative of 43*n**5/24 + 75*n**4/8 + 10*n**3/3 - 745*n**2. Factor d(h).
5*(h + 2)*(43*h + 4)/2
Suppose 0 = 2*c - c - 4. Suppose -213*y = -764 - 337 + 249. Find h such that 4/3*h**y + 0 + 4*h**2 - 4/3*h - c*h**3 = 0.
0, 1
Let u(h) be the third derivative of -h**5/12 - 5135*h**4/4 - 15820935*h**3/2 - 28*h**2 - 32. Suppose u(w) = 0. What is w?
-3081
Find h, given that 156 + 38/3*h**3 + 334/3*h**2 - 2/3*h**4 + 254*h = 0.
-3, -1, 26
Let d be 7 - ((3 - -4) + -3). Suppose -3*i = 5*f - d*f - 21, 15 = 5*i. Suppose -9*k**3 + 0*k**4 - 3 + f*k**2 + 9*k**3 - 3*k**4 = 0. What is k?
-1, 1
Let u(k) be the first derivative of -2*k**3/27 + 806*k**2/9 - 324818*k/9 + 677. Let u(x) = 0. What is x?
403
Let u(q) be the first derivative of 0*q - 4/5*q**2 + 1/5*q**4 - 4/15*q**3 - 49. Factor u(k).
4*k*(k - 2)*(k + 1)/5
Let q = -13128 + 13131. Let f(i) be the third derivative of 2*i**2 + 5/72*i**4 + 0 - 1/360*i**6 - 1/3*i**q + 0*i + 1/90*i**5. Factor f(v).
-(v - 3)*(v - 1)*(v + 2)/3
Let g = -2/515 - -2086/6695. Let v = 383/377 + -25/29. Factor -v*r + 2/13*r**2 - g.
2*(r - 2)*(r + 1)/13
Suppose -2*z = 3*z - 20. Suppose -3*t - 6 = -4*h, 11*t - 19 = -5*h + 9*t. Suppose 13*c - 27*c**3 - 21*c**h + 25*c**z - 3*c + 5*c**2 + 8*c**3 = 0. What is c?
-2/5, 0, 1
Factor -454/9*y**2 - 2/9*y**3 - 25990/9*y - 25538/9.
-2*(y + 1)*(y + 113)**2/9
Find j, given that 28790*j - 39683277 + 1589693 + j**2 - 4102*j - 5*j**2 = 0.
3086
Let d(g) be the second derivative of -2*g**3/3 - 13*g**2 + 17*g. Let f be d(-8). Factor -7 - f + 12 + c**2.
(c - 1)*(c + 1)
Factor 2/15*s**3 + 0 - 64/15*s**2 - 128/3*s.
2*s*(s - 40)*(s + 8)/15
Let t(a) be the second derivative of -a**4/15 - 4348*a**3/15 - 2363138*a**2/5 - 1962*a + 1. Find v such that t(v) = 0.
-1087
Suppose -u = -2*u - 4*d + 1204, -2438 = -2*u + 2*d. Let h = 3697/3 - u. Factor -1/3 - h*l**2 + 14/3*l.
-(7*l - 1)**2/3
Let m be (7430/270 + -27)*24/14. Factor m*c - 10/9 + 2/9*c**2.
2*(c - 1)*(c + 5)/9
Let o(r) be the second derivative of -r**7/21 + 2*r**6/3 - 29*r**5/10 + 16*r**4/3 - 4*r**3 - r + 32. Solve o(u) = 0.
0, 1, 2, 6
Let g(i) = -i + 2. Let q(c) = -c**2 + 7*c + 28. Let n be q(10). Let m be g(n). Find p, given that -2/3*p**2 - 4/3*p**3 + p**m + 4/3*p - 1/3 = 0.
-1, 1/3, 1
Suppose 236*g - 115 + 115 = 0. Factor 0*k + g + 3*k**3 - 1/2*k**4 + 7/2*k**2.
-k**2*(k - 7)*(k + 1)/2
Factor -39201376 - 274776*n - 1/2*n**3 - 642*n**2.
-(n + 428)**3/2
Let h be (-1575)/(-90)*2/(-5). Let q be (h/84)/(1 - 20/15). Find o such that -2 - q*o**2 - 3/2*o = 0.
-4, -2
Let b(j) be the first derivative of j**5 - 415*j**4/2 - 835*j**3/3 + 1187. Factor b(q).
5*q**2*(q - 167)*(q + 1)
Let s be (-33)/22*((1 - 6) + 3). Let w(y) be the first derivative of 0*y + 2/39*y**s + 2/13*y**2 + 16. Factor w(p).
2*p*(p + 2)/13
Let y(g) = 25*g**2 + 351*g - 683. Let k(b) = -9*b**2 - 117*b + 228. Let i(s) = 17*k(s) + 6*y(s). Factor i(q).
-3*(q - 37)*(q - 2)
Let s(b) = -15*b**3 - 3*b**2 - 16*b - 8. Let q(y) = 4*y**3 + y**2 + y. Suppose 29*g + 659 - 79 = 0. Let m(o) = g*q(o) - 4*s(o). Factor m(f).
-4*(f + 1)**2*(5*f - 8)
Suppose -x + 6*x = 100. Let b be 570/x*(-1 - -3). Suppose 39*n + 10*n**4 - 6*n**2 - 31*n**4 + 69*n**3 - 6 - 18*n**2 - b*n**2 = 0. What is n?
2/7, 1
Factor -56557*u**2 + 1866*u + 26034*u + 311364 + 4*u**3 + 55849*u**2.
4*(u - 93)**2*(u + 9)
Let k = -1189424 - -1189424. Find v, given that k + 1/4*v**2 - 3/2*v = 0.
0, 6
Let w(h) = h**2 + 20*h + 15. Let x(j) = -4*j**2 - 79*j - 49. Let r(l) = 23*w(l) + 6*x(l). Determine u so that r(u) = 0.
-17, 3
Let h(m) be the second derivative of -m**7/3150 + 2*m**5/75 + 7*m**4/12 + 2*m**3/3 - 61*m - 2. Let q(d) be the third derivative of h(d). Factor q(g).
-4*(g - 2)*(g + 2)/5
Let j(l) be the first derivative of -2*l**5/25 + 33*l**4/10 - 192*l**3/5 + 256*l**2/5 + 2411. Determine u so that j(u) = 0.
0, 1, 16
Factor 245/2*a**2 - 5/2*a**3 + 260 + 385*a.
-5*(a - 52)*(a + 1)*(a + 2)/2
Let g(b) be the first derivative of -3*b**4/4 - 38*b**3 - 321*b**2/2 - 210*b + 3176. Factor g(c).
-3*(c + 1)*(c + 2)*(c + 35)
Let j = 8 - 4. Let f(s) = -7*s**2 + 39*s + 20. Let p be f(6). Let -22*y**4 + 2*y**3 + 6*y**4 - 26*y**3 - 4*y**5 - j*y - 16*y**p = 0. Calculate y.
-1, 0
Let r = 167539 + -167536. Solve -1/7*u**r - 6/7 + 13/7*u + 1/7*u**4 - u**2 = 0.
-3, 1, 2
Let 48/7*b + 120/7*b**2 + 30/7*b**4 + 0 + 99/7*b**3 + 3/7*b**5 = 0. Calculate b.
-4, -1, 0
Factor -840 - 326*f - 1/2*f**3 + 46*f**2.
-(f - 84)*(f - 10)*(f + 2)/2
Suppose 14*c - 19*c + 3*i + 22 = 0, -5*c - 2*i = -27. Factor -12*n + 52*n**2 - 52*n**2 - 8*n**4 + c*n**4 + 9*n**3.
-3*n*(n - 2)**2*(n + 1)
Let s = 1780 + -1761. Suppose 2*u + 4*l + 8 = 0, 3*u + s*l = 14*l - 8. Solve u + 2/3*w**2 - 10/3*w = 0 for w.
2, 3
Factor -3/5*l + 0 + 3/5*l**2.
3*l*(l - 1)/5
Solve -58/23*f - 124/23 + 2/23*f**2 = 0.
-2, 31
Let o(y) be the first derivative of -y**4/12 - 7*y**3/9 + 3*y**2 - 6764. Factor o(z).
-z*(z - 2)*(z + 9)/3
Let h(v) = -3*v**2 + 62*v - 6*v - 790 + 2*v**2. Let k(o) = -o**2 + 56*o - 792. Let l(t) = -4*h(t) + 3*k(t). Let l(c) = 0. What is c?
28
Determine m, given that -216/5*m**3 + 172*m**2 - 848/5*m - 16/5 = 0.
-1/54, 2
Let c(n) be the first derivative of 0*n + 0*n**2 + n**4 - 196/3*n**3 + 35. Let c(r) = 0. What is r?
0, 49
Factor -357/8*h - 294 - 3/8*h**2.
-3*(h + 7)*(h + 112)/8
Let b be (-57)/8 + (-153)/(-17). Let i = -3/2 + b. Factor -i*u**2 + 9/8*u - 3/4.
-3*(u - 2)*(u - 1)/8
Let g(b) = -11*b**3 + 1446*b**2 - 1026*b - 355. Let d(v) = -21*v**3 + 2890*v**2 - 2052*v - 691. Let m(j) = 6*d(j) - 14*g(j). Determine a, given that m(a) = 0.
-2/7, 1, 103
Suppose 0 = 2*o + 5*f + 19, -5*o = 3*f - 8*f - 5. Let l be o*1/21*(-171)/38. Find c, given that -15/7*c + 0 - l*c**2 = 0.
-5, 0
Let m(w) = 48 + 57 - 104 - w**2. Let o(b) = 10*b - 3 + 13 + 4 - 4*b**2. Let g(r) = -m(r) - o(r). Factor g(a).
5*(a - 3)*(a + 1)
Let h = 83 - 101. Let p be ((-4)/8 + 0)/(3/h). Suppose -2*n**4 + 0 + 1/2*n**p + 0*n + n**2 - 3/2*n**5 = 0. Calculate n.
-1, 0, 2/3
Let d(w) = -654*w - 193580. Let a be d(-296). Factor -3/8*b**2 - 1/2*b - 1/8*b**a + 1/2*b**3 + 1/2.
-(b - 2)**2*(b - 1)*(b + 1)/8
Let i(a) be the first derivative of 60 + 0*a + 4/7*a**2 + 1/14*a**4 - 8/21*a**3. Factor i(d).
2*d*(d - 2)**2/7
Let f be (71/(-71))/(((-4)/(-6))/(-2)). Suppose -3*p**3 - 3*p**3 - 9*p**4 - 9*p**5 + 2*p**f + 2*p**3 = 0. Calculate p.
-2/3, -1/3, 0
Let a(n) = -103*n + 2888. Let x be a(28). Let q(g) be the third derivative of 0*g - 1/120*g**6 + 14*g**2 + 1/20*g**5 + 0*g**x - 2/3*g**3 + 0. Factor q(w).
-(w - 2)**2*(w + 1)
Let g(n) = 3*n - 24. Let k be g(3). Let h be (4/10)/(((-6)/k)/2). Factor 2*w**h + 20 + 0*w**2 - 8*w**2 + w**2.
-5*(w - 2)*(w + 2)
Factor -22*l**2 + 48*l - 99*l**3 + 22*l**2 + 178*l**2 - 11*l**2 + 79*l**2.
-3*l*(3*l - 8)*(11*l + 2)
Let u(v) be the third derivative of 40/3*v**3 - 5/48*v**6 + 0*v + 4*v**2 + 1/84*v**7 + 10/3*v**4 - 1/4*v**5 + 0. Factor u(m).
5*(m - 4)**2*(m + 1)*(m + 2)/2
Let o(n) be the first derivative of 1/3*n**3 + 44*n**2 + 1936*n + 48. Determine i, given that o(i) = 0.
-44
Let s be (-2)/(-7) - 16*(-168)/(-16). Let x = s - -168. Let 1/7*m**4 + 0*m + x*m**3 + 0*m**2 + 0 = 0. Calculate m.
-2, 0
Let j(b) be the third derivative of -1/270*b**5 - 2*b + 32/27*b**3 + 3*b**2 + 0 - 31/108*b**4. Factor j(m).
-2*(m - 1)*(m + 32)/9
Let q(b) = -10*b - 80. Let g be q(-7). Let c be (-6)/g + (4 - 88/22). Factor c*i - 3/5*i**2 + 6/5.
-3*(i - 2)*(i + 1)/5
Solve -330*z**3 - 5*z**4 - 537*z**2 - 38847*z - 353*z - 6183*z**2 = 0 for z.
-28, -10, 0
Determine k, given that -4/3*k**4 + 26/3*k - 38/3*k**2 - 2 + 22/3*k**3 = 0.
1/2, 1, 3
Let x(b) be the third derivative of b**6/90 - b**5/30 + 38*b**3/3 + 19*b**2 + b. Let f(m) be the first derivative of x(m). Suppose f(l) = 0. Calculate l.
0, 1
Let l = -4729 - -4729. Let x(k) 