/5
Let c be (-1915)/(-10) - 7 - 8. Let z = c + -176. Determine v so that -5/2*v**2 - v**3 + 1 - z*v = 0.
-2, -1, 1/2
Factor -2/3*l**2 - 326/3*l + 332.
-2*(l - 3)*(l + 166)/3
Factor -21*g**3 - 9 - 88*g - 29 + 52*g**2 + 110*g**2 - 4 - 11*g.
-3*(g - 7)*(g - 1)*(7*g + 2)
Let h be ((-116)/(-435))/(3*(76/(-20) - -4)). Let p(v) be the first derivative of -1/6*v**4 + h*v**3 + 40 - 4*v + 5/3*v**2. Factor p(m).
-2*(m - 3)*(m - 1)*(m + 2)/3
Let n(o) be the first derivative of -4*o**3/15 + 838*o**2/5 - 1672*o/5 - 9360. Determine j, given that n(j) = 0.
1, 418
Suppose -5*g = -2*p + 287 + 741, -3*g - 513 = -p. Suppose 3*z - 3*f = -6*f + p, 5*f = -4*z + 696. Factor -5*a**3 - 20*a**4 + z - 169.
-5*a**3*(4*a + 1)
Let a be 64/(-10) + 9 - (-15)/((-1650)/(-1034)). Find m, given that 270 + 2/15*m**2 + a*m = 0.
-45
Let t = 350 + -343. Find b such that b**2 + 19*b - 4*b**3 - 42*b + t*b**2 + 8*b**3 + 27*b = 0.
-1, 0
Let f(j) be the third derivative of -j**8/33600 + j**7/1260 - j**6/400 + 37*j**4/24 + j**3/6 - 275*j**2. Let u(l) be the second derivative of f(l). Factor u(c).
-c*(c - 9)*(c - 1)/5
Let y = 229 - 193. Suppose -21*r = -33*r + y. Factor -2/11*d**r + 2/11 - 2/11*d**2 + 2/11*d.
-2*(d - 1)*(d + 1)**2/11
Let u(x) = x**3 + 2*x**2 - 26*x + 10. Let w be u(4). What is s in -16*s**3 - 14*s**w - 30*s**4 + 11*s**4 + 17*s**4 = 0?
-7, -1, 0
What is t in -18/5*t**2 + 384/5 - 416/5*t = 0?
-24, 8/9
Suppose 3*a = 2*v - 4*v + 3228, 4*a + 4859 = 3*v. Let h = v - 1617. Suppose -2/3*c + h + 16/3*c**2 = 0. Calculate c.
0, 1/8
Factor 186 + 212*l**2 + 10*l - 104*l**2 - 107*l**2 - 75*l.
(l - 62)*(l - 3)
Let l = -12370 + 12382. Let o(w) be the first derivative of -5*w**3 + 5 + l*w**2 - 12*w + 3/4*w**4. Factor o(n).
3*(n - 2)**2*(n - 1)
Determine x so that 50/3*x**3 - 12104*x - 15120*x**2 - 7264/3 = 0.
-2/5, 908
Let s = -201 - -175. Let t be 1 + s/((-18)/9). Determine j, given that 0*j**3 - t*j**2 - 17/3*j + 36*j**4 + 27*j**5 - 2/3 = 0.
-1, -1/3, 2/3
Suppose 946*m - 840 = 526*m. Determine j, given that -2/7*j**m + 0 + 10/7*j = 0.
0, 5
Factor 2166*w**2 + 33828*w + 3*w**3 + 190691*w + 777600 + 168601*w.
3*(w + 2)*(w + 360)**2
Let o = 4030 + -4009. Let d(g) be the first derivative of -5/4*g**2 + g**3 + 0*g - 1/8*g**4 + o. Suppose d(s) = 0. What is s?
0, 1, 5
Let l(m) be the third derivative of -m**8/168 - 3*m**7/35 + m**6/60 + 3*m**5/10 + m**2 + 712*m. Suppose l(f) = 0. What is f?
-9, -1, 0, 1
Suppose 0*n + 60 = 4*x - n, -64 = -4*x + 2*n. Suppose x = 31*s + 14. Factor -1/2*d**3 + 0*d**2 + s + 1/2*d.
-d*(d - 1)*(d + 1)/2
Let g(i) be the third derivative of 0*i + 0 + 1/42*i**5 + 34*i**2 + 1/6*i**4 - 1/7*i**3. Determine w, given that g(w) = 0.
-3, 1/5
Solve 240/7 - 2/7*m**3 - 4*m**2 - 8*m = 0 for m.
-10, -6, 2
Suppose -2*i - 2*f = 10, 3*i + f + 3*f + 11 = 0. Let t(h) = -20*h - 177. Let d be t(i). Solve 1/4*x**d + 0 + 1/2*x**2 - 3/4*x = 0.
-3, 0, 1
Suppose 3030/11*z**2 - 2/11*z**3 - 1149128/11 - 1146096/11*z = 0. Calculate z.
-1, 758
Let t(y) be the first derivative of y**2/2 + 2*y + 110. Let r(z) = 2*z**2 + 23*z + 26. Let d(n) = -r(n) + 5*t(n). Factor d(g).
-2*(g + 1)*(g + 8)
Let r(g) be the second derivative of -g**5/16 + 65*g**4/8 - 665*g**3/2 + 1805*g**2 - 7*g + 54. Find b, given that r(b) = 0.
2, 38
Let y be (21/(-12))/(-7)*(2 - 1). Let k(i) = 79*i + 474. Let d be k(-6). Factor 0 + y*w**3 + 1/4*w**2 + d*w.
w**2*(w + 1)/4
Determine p, given that 28/3*p**3 + 140 + 229/3*p**2 + 548/3*p - 1/3*p**4 = 0.
-3, -2, 35
Let f(z) be the second derivative of 4/3*z**3 - 1/3*z**4 - 1 + 11*z + 1/6*z**6 + 0*z**2 - 1/42*z**7 - 3/10*z**5. Factor f(u).
-u*(u - 2)**3*(u + 1)
Let y(q) be the first derivative of q**6/180 - q**5/20 + q**4/6 - 22*q**3 + 33. Let o(p) be the third derivative of y(p). Factor o(a).
2*(a - 2)*(a - 1)
Let q = 68850 - 68848. Determine f so that 16/3*f + 14/3 + 2/3*f**q = 0.
-7, -1
Let r(b) be the first derivative of 2*b**3/27 - 2*b**2 - 638*b/9 - 1406. Suppose r(c) = 0. What is c?
-11, 29
Factor -3*z**3 - 196 + 462 + 429*z - 1342 - 3280 + 30*z**2.
-3*(z - 11)**2*(z + 12)
Let m(l) be the third derivative of -l**7/1155 + 43*l**6/330 - 1933*l**5/330 + 301*l**4/11 - 588*l**3/11 - 2480*l**2. Find r, given that m(r) = 0.
1, 42
Let y(b) = b**2 - 5. Let h be y(3). Suppose 2*p - x - 1 = 0, 3*p + 1 = x + x. Factor -24*a + 5*a**h - 2*a**4 + 34*a**3 + 36*a**2 - 52*a**p.
3*a*(a - 2)**3
Let a be ((-98)/(-784))/(6/72*1). Factor -18 + 3/2*b + a*b**2.
3*(b - 3)*(b + 4)/2
Let p(q) be the first derivative of 5*q**6/4 - 53*q**5/4 - 375*q**4/16 + 215*q**3/12 + 345*q**2/8 + 25*q/2 - 2753. Suppose p(m) = 0. Calculate m.
-1, -1/6, 1, 10
Factor 190096*v + 436*v**2 + 82881856/3 + 1/3*v**3.
(v + 436)**3/3
Let k(u) = u**4 - u**2. Let l(x) = 6*x**4 + 7200*x**3 + 4859998*x**2 + 1458000000*x + 164025000000. Let t(r) = -2*k(r) + l(r). Let t(f) = 0. What is f?
-450
Factor -5305*u + 4*u**2 + 2672*u + 2429*u - 648.
4*(u - 54)*(u + 3)
Suppose 6*u = o + 7*u - 5, -u = -4*o + 10. Let a(p) be the third derivative of 5/12*p**o + 0*p - 47/96*p**4 + 3/80*p**5 + 0 - 27*p**2. Factor a(i).
(i - 5)*(9*i - 2)/4
Let d = 423 - 415. Let c(r) be the first derivative of -9 - d*r - 3*r**2 + 2/3*r**3. Factor c(p).
2*(p - 4)*(p + 1)
Factor -1/5*r**3 + 52/5*r + 49/5*r**2 - 20.
-(r - 50)*(r - 1)*(r + 2)/5
Let g(f) = -20*f**2 + 6*f - 34. Let o(c) = -c**2 + c - 1. Let j = 68 - 65. Let z be (-26)/39*(j - 0)/1. Let l(w) = z*g(w) + 36*o(w). Factor l(k).
4*(k + 2)*(k + 4)
Let p = -617 + 834. Let 6627 - p*i + 1332*i**2 - 65*i - 1329*i**2 = 0. What is i?
47
Factor -156*q + 31/2*q**2 + 10.
(q - 10)*(31*q - 2)/2
Let y(g) be the third derivative of g**5/12 - 55*g**4/12 + 195*g**3/2 - 5*g**2 - 139. What is c in y(c) = 0?
9, 13
Suppose -s = -3*c - 107, -c + 8 = -s + 113. Suppose -5*a + 681 = -s. Factor -4*h**5 + a*h**2 - 157*h**2 + 8*h**3 - 4*h.
-4*h*(h - 1)**2*(h + 1)**2
Let y(q) be the second derivative of -q**4/12 - 2815*q**3/12 - 1407*q**2/4 + 81*q. Determine b so that y(b) = 0.
-1407, -1/2
Factor -5573/3*x + 1238/3 + 3*x**2.
(x - 619)*(9*x - 2)/3
Let m(o) = o**2 - 72*o + 1292. Let r be m(34). Let j(t) be the first derivative of -1/2*t**3 + 8 + 1/2*t**2 + 1/8*t**4 + r*t. Determine w so that j(w) = 0.
0, 1, 2
Let i(w) be the first derivative of 3328/3*w**2 - 8192/3*w + 160*w**3 - 18 + 2/15*w**5 + 47/6*w**4. Determine m, given that i(m) = 0.
-16, 1
Let c(u) = -u**3 - 17*u**2 - 36*u + 14. Let o be c(-14). Let n be (-48)/o + (-36)/90. Factor 0 + 0*d + 2/7*d**2 + n*d**3.
2*d**2*(d + 1)/7
Let b = -61 + 64. Let y be -4*b/60 + (-22)/(-10). Factor -3*h**2 + 3*h**2 - 8*h + 0*h**y - 2*h**2.
-2*h*(h + 4)
Let -2/11*j**4 + 8/11 + 6/11*j**2 - 16/11*j + 4/11*j**3 = 0. Calculate j.
-2, 1, 2
What is k in -42*k**2 + 461*k - 93*k - 41 - 138 + 691 - 98*k**2 + 4*k**3 = 0?
-1, 4, 32
Determine q so that -2/15*q**4 - 1744/15 - 1166/5*q**2 + 4364/15*q + 176/3*q**3 = 0.
1, 2, 436
Let r(n) be the third derivative of -n**7/1260 + 7*n**6/360 + 71*n**5/360 + n**4/6 - 3*n**3 - 630*n**2. Determine j so that r(j) = 0.
-3, -2, 1, 18
Factor -87011*k**2 + 1680591*k**2 - 3*k**5 - 60460*k**2 - 6144000 + 720*k**4 - 57588*k**3 + 230400*k.
-3*(k - 80)**3*(k - 2)*(k + 2)
Let c(y) be the first derivative of -y**6/4 - 9*y**5/5 + 6*y**4 + 53*y**3 - 45*y**2/4 - 150*y - 2793. Solve c(o) = 0.
-5, -1, 1, 4
Let r(z) be the second derivative of -z + 58/3*z**4 + 25 - 1/21*z**7 - 2/5*z**6 - 16*z**3 - 576*z**2 + 3/2*z**5. Let r(f) = 0. Calculate f.
-4, 3
Let a = 4546 - 4546. Let l be 0 + ((-6)/(-9)*6 - 1). Determine p so that 22/13*p**2 + a + 8/13*p**l - 6/13*p = 0.
-3, 0, 1/4
Let u(g) = -g**3 + 9*g**2 + 6*g + 2. Let j be u(10). Let l = -35 - j. Determine k, given that -8*k**5 - 3*k**2 - 3*k**3 + k**2 + l*k**4 + 11*k**5 - k**2 = 0.
-1, 0, 1
Let f be 228/308 - (32/22 - 2). Determine u, given that 3/7 + 6/7*u**2 - f*u**4 + 3/7*u**5 + 6/7*u**3 - 9/7*u = 0.
-1, 1
Suppose -h = 1 - 0. Let f be 12*-3*h/9. Determine d so that 15 - 61*d**3 + 6*d + 82*d**3 + 54*d**2 + 54*d + 3*d**f + 9 = 0.
-2, -1
Let t(b) be the third derivative of b**8/5040 - b**7/420 + b**6/90 + 13*b**5/12 + 11*b**2. Let l(i) be the third derivative of t(i). Factor l(w).
4*(w - 2)*(w - 1)
Solve -1176/11*h - 5488/11 - 84/11*h**2 - 2/11*h**3 = 0 for h.
-14
Let u = -49500 - -49502. Let 0 - 6/7*v + 1/7*v**4 - 1/7*v**u + 6/7*v**3 = 0. Calculat