 3. Let l be ((-155)/186)/((-1)/6). Determine k so that -544*k**4 + 547*k**4 + 3*k**l - 3*k**3 - k**2 - 2*k**c = 0.
-1, 0, 1
Let t(b) = -9479*b - 94788. Let v be t(-10). Suppose 1/2*d**v + 45*d + 2025/2 = 0. Calculate d.
-45
Suppose h - 23 + 2 = 0. Suppose h - 17 = u. Factor 5*f**3 + 3*f + 0*f**2 - 6*f**4 - 8*f**3 + f**2 + 5*f**u.
-f*(f - 1)*(f + 1)*(f + 3)
Let f(y) be the first derivative of 5*y**8/336 - y**7/84 - y**6/6 + y**5/6 - 57*y**2/2 + 1. Let s(v) be the second derivative of f(v). Solve s(x) = 0 for x.
-2, 0, 1/2, 2
Suppose 0 = -58*f + f + 228. Suppose -3*t = h - 10, -3*h - 16 = -f*t - 7. What is b in 0 - 1/4*b**2 + 0*b + 1/4*b**4 - 1/4*b**t + 1/4*b**5 = 0?
-1, 0, 1
Factor -8/5*p**2 + 4*p**3 + 0 - 32/5*p - 4/5*p**4.
-4*p*(p - 4)*(p - 2)*(p + 1)/5
Let v be (880/(-640))/(1705/(-124)). Factor 0*y + 0 + 1/5*y**2 - v*y**3.
-y**2*(y - 2)/10
Let h = 538828/64659 + -1/21553. Find q such that 10/3*q - h - 1/3*q**2 = 0.
5
Let z(p) = -p**3 + 11*p**2 + p - 11. Let l be z(11). Let b(i) = i**3 + i**2 - i + 77. Let h be b(l). Factor -h*u**3 + 10*u**2 + 82*u**3 + 0 + 0.
5*u**2*(u + 2)
Let y(o) = 14*o**2 - 47014*o + 39654868. Let x(s) = 2*s**2 - 6717*s + 5664981. Let b(d) = 44*x(d) - 6*y(d). Suppose b(j) = 0. What is j?
1683
Let d(j) = -j**2 - 2*j. Let i be 1 + 0 - (10 - 8). Let l(f) = 3*f**2 + 246*f + 7442. Let m(z) = i*d(z) - l(z). Determine x, given that m(x) = 0.
-61
Factor 45/4 + 27/4*b + 1/4*b**3 - 17/4*b**2.
(b - 15)*(b - 3)*(b + 1)/4
Let p be (-220)/(-154) - 642/(-21). Let q(o) be the first derivative of 26 - p*o - 12*o**2 - 4/3*o**3. Factor q(f).
-4*(f + 2)*(f + 4)
Let c = -414674 + 414674. Let j be 15/(-8)*(-2)/5. Determine g, given that c + 1/4*g**3 - j*g**2 + 1/2*g = 0.
0, 1, 2
Let v(t) be the third derivative of t**7/945 - t**6/108 - 11*t**5/270 + 11*t**4/36 - 2*t**3/3 + t**2 - 115. Determine m, given that v(m) = 0.
-3, 1, 6
Let b = 2755/504 + -373/72. Find h such that -b*h**2 - 4 + 30/7*h = 0.
1, 14
Let i(q) be the second derivative of q**5/20 + q**4/2 + 4*q**3/3 + 15*q**2/2 + 4*q. Let y be i(-5). Find z such that y*z - 1/5 + 1/5*z**2 = 0.
-1, 1
Let x(m) be the first derivative of m**3/3 + 1140*m**2 + 1299600*m - 7101. Determine y so that x(y) = 0.
-1140
Factor 384*j**4 + 1067*j**2 + 93*j**4 + 0*j**5 + 1831*j**2 - j**5 - 1896*j**3 - 1006*j**2.
-j**2*(j - 473)*(j - 2)**2
Let s be 31 + -1 - 664/166. Let o be s/247 + -2 + 186/38. Factor b + 1/2*b**o - 3/2*b**2 + 0.
b*(b - 2)*(b - 1)/2
Let l = -78 - -111. Let i = 37 - l. Suppose -11*f**3 + 9*f**3 + 4*f**2 - i*f**3 + 6*f - 4 = 0. What is f?
-1, 2/3, 1
Let b(f) = f**2 - 6*f - 11. Let g be b(7). Let m(t) = -4*t**2 - 44*t + 56. Let w(u) = 4*u**2 + 44*u - 54. Let v(a) = g*w(a) - 3*m(a). Solve v(z) = 0.
-12, 1
Solve 104*v - v**2 - v**2 + v**2 - 203*v + 100*v = 0 for v.
0, 1
Let -4*p**4 - 84/5*p + 0 - 438/5*p**3 - 382/5*p**2 = 0. Calculate p.
-21, -1/2, -2/5, 0
Suppose 497*j = 3*m + 496*j - 79, 0 = 3*m + 5*j - 109. Let r(c) be the first derivative of 54*c + 99/2*c**2 + 15/4*c**4 - m*c**3 - 11. Solve r(y) = 0 for y.
-2/5, 3
Let g(i) be the first derivative of -i**5/35 + 31*i**4/14 - 59*i**3/21 - 61*i**2/7 - 411. Factor g(m).
-m*(m - 61)*(m - 2)*(m + 1)/7
Let o = -6442 + 6444. Let v(s) be the first derivative of 0*s + 0*s**o + 2/15*s**3 - 21 + 1/20*s**4. Factor v(u).
u**2*(u + 2)/5
Let j(t) be the third derivative of -7/40*t**6 + 0 + 3/5*t**5 - t**3 + 30*t - 2*t**2 - 3/8*t**4. Factor j(o).
-3*(o - 1)**2*(7*o + 2)
Let f(x) be the second derivative of -3*x**5/40 + 3*x**4/4 + 37*x**3/4 - 315*x**2/2 + 148*x + 6. Factor f(u).
-3*(u - 7)*(u - 5)*(u + 6)/2
Determine r so that 20 + 2/3*r**4 - 1/3*r**5 + 8*r**3 - 62/3*r**2 - 23/3*r = 0.
-5, -1, 1, 3, 4
Let y(o) be the third derivative of -o**6/80 - 93*o**5/40 - 138*o**4 - 529*o**3 + 22*o**2 - 25*o. Factor y(g).
-3*(g + 1)*(g + 46)**2/2
Suppose -49*b = -39*b - 20. Let q(v) be the first derivative of 0*v**b - 10/3*v**3 + 0*v - 5/4*v**4 + 7. Factor q(g).
-5*g**2*(g + 2)
Let y(w) be the first derivative of -4*w**2 + 1/6*w**3 - 64 + 32*w. Factor y(i).
(i - 8)**2/2
Factor -20402/17 + 8/17*l**3 + 82012/17*l - 1618/17*l**2.
2*(l - 101)**2*(4*l - 1)/17
Let w = -712 + 578. Let z be 96/(-480) + w/(-70). Find p, given that z*p**3 - 12/7*p + 8/7 - 4/7*p**4 - 4/7*p**2 = 0.
-1, 1, 2
Suppose 0 = -3*s - 5*k + 16, -s - 4*k + 4 = -3*s. Determine p so that 40*p + 481 - 162*p**2 - 81 + 81*p**s + 82*p**2 = 0.
-20
Let w = 1707668 - 1707666. Factor -w - 2/11*n**2 + 24/11*n.
-2*(n - 11)*(n - 1)/11
Let s = 2249 + -2246. Let j be (1 - 119/51)*s/(-10). Find n, given that -98/15*n**2 + 22/15*n + 12/5*n**4 + j - 26/5*n**3 = 0.
-1, -1/6, 1/3, 3
Let s(d) = d**4 + 6*d**3 - 2*d**2. Let l(z) = 9*z**4 + 75*z**3 + 21*z**2 - 39*z - 36. Let t(h) = l(h) - 6*s(h). Find o such that t(o) = 0.
-12, -1, 1
Let b(l) be the third derivative of l**7/525 - 22*l**6/25 + 8843*l**5/75 - 2882*l**4/5 + 17161*l**3/15 + 9942*l**2. Factor b(s).
2*(s - 131)**2*(s - 1)**2/5
Let c be 12/7 + ((-1733)/(-63) - 13) + 6. Factor 5000/9 + 2/9*k**2 - c*k.
2*(k - 50)**2/9
Let w = -63 + 427. Factor -w*m + 287*m**2 + 98 + 115*m**3 + 8*m**4 + 92*m**2 - 97*m**2 - 11*m**3.
2*(m + 7)**2*(2*m - 1)**2
Let l(i) be the second derivative of -i**3 - 7/5*i**6 + 1 - i**2 + 4*i + i**5 + 3/7*i**7 + i**4. Solve l(r) = 0.
-1/3, 1
Factor -399943 + 4*t**2 + 399943 + 3104*t.
4*t*(t + 776)
Let g be (-10571)/61380 - 3/((-27)/2). Let r(l) be the second derivative of 3/5*l**2 - 13*l + 0 - 3/10*l**3 + g*l**4. Factor r(b).
3*(b - 2)*(b - 1)/5
Factor -10*w**2 + 44494*w + 15*w**2 - 50804*w.
5*w*(w - 1262)
Let o = 372 + -369. Solve -3 + 0 + o - 8*t**5 + 686*t**4 - 2*t + 14*t**2 - 660*t**4 - 30*t**3 = 0 for t.
0, 1/4, 1
Let s be (70543/(-1855) + 38)/(22/(-7) - -3). Factor s*a**4 - 6/5*a**2 + a**3 + 32/5 - 32/5*a.
(a - 2)*(a - 1)*(a + 4)**2/5
Let n(b) be the second derivative of b**4/24 + 15*b**3/2 - 94*b**2 - 1649*b. Factor n(d).
(d - 4)*(d + 94)/2
Suppose 2*f - 27*f - 75 = 0. Let a(i) = 5*i**3 - 5*i**2 - 102*i + 228. Let l(q) = -q - 1. Let s(d) = f*l(d) - a(d). Factor s(u).
-5*(u - 3)**2*(u + 5)
Let d(w) be the second derivative of 13*w**5/55 - 7*w**4/6 - w**3/11 + 18*w - 47. Factor d(f).
2*f*(f - 3)*(26*f + 1)/11
Suppose -25*c + 5*n = -20*c + 20, -4*c - 2*n = -8. Factor -1656 + 1656 + c*j**3 + 96*j**2 + 3*j**3.
3*j**2*(j + 32)
Let r(g) = 26*g + 180. Let w be r(-7). Let s be (w/3)/(118/(-531)). Find x such that -21/5*x + 9/5 + s*x**2 - 3/5*x**3 = 0.
1, 3
Let o(a) = 242*a. Let j be o(0). Let p(y) be the third derivative of 14*y**2 + 0 + 1/270*y**5 + 1/27*y**3 - 1/54*y**4 + j*y. Factor p(h).
2*(h - 1)**2/9
Let r(j) be the first derivative of j**7/840 - j**6/90 + j**5/40 + 14*j**3/3 - j**2 - 63. Let d(y) be the third derivative of r(y). Factor d(a).
a*(a - 3)*(a - 1)
Suppose 5*g - g = 56. Let x = 6322 + -6308. Let g*y**4 + 2 - 29*y**3 - 2*y**4 + 0*y**3 - 3*y + 4*y**2 + x*y = 0. Calculate y.
-1/3, -1/4, 1, 2
Let x(c) be the first derivative of 0*c**3 + 16/5*c**5 + 0*c + 0*c**2 + 122 + 2/3*c**6 + 3*c**4. Determine j, given that x(j) = 0.
-3, -1, 0
Let n(s) be the first derivative of 235 + 33/4*s + 7/4*s**2 + 1/12*s**3. Determine p, given that n(p) = 0.
-11, -3
Suppose -4265*v - 1942 - 3272 - 4*v**2 - 3296 - v**2 = 0. What is v?
-851, -2
Factor 0*z - 2/7*z**2 + 0.
-2*z**2/7
Let w(c) be the first derivative of -c**8/2856 + c**6/170 - 4*c**5/255 + c**4/68 + 8*c**2 - c - 45. Let a(l) be the second derivative of w(l). Factor a(s).
-2*s*(s - 1)**3*(s + 3)/17
Let d be (-488)/(-610) - 60/(-25). Factor -4/5*y + d - 2/5*y**2.
-2*(y - 2)*(y + 4)/5
Let x = -384 + 400. Factor 6*z - 10*z**2 - 2*z + 4*z**5 + x*z**4 - 28 - 2*z**3 + 30 - 12*z**5 - 2*z.
-2*(z - 1)**3*(2*z + 1)**2
Let c(d) = 4*d**4 + 48*d**3 - 120*d**2 - 166*d - 2. Let o(n) = 4*n**4 + 48*n**3 - 118*n**2 - 165*n - 3. Let i(r) = 3*c(r) - 2*o(r). Solve i(j) = 0.
-14, -1, 0, 3
Suppose -21*z - 14*z = -35. Let l be (1360/(-45))/(-4) + z*-4. Let 0*s - l*s**3 + 10/9*s**4 + 14/9*s**5 + 0 + 8/9*s**2 = 0. Calculate s.
-2, 0, 2/7, 1
Let g = 39 - 36. Let -40*w**g - 6*w**2 + 46*w**4 + 528*w**5 + 14*w**2 - 542*w**5 = 0. What is w?
0, 2/7, 1, 2
Let i be 272/(-84) + 1 + 4. Let s = i - -25/7. Let 4/3*j + 17/3*j**3 + 0 - 5/3*j**4 - s*j**2 = 0. What is j?
0, 2/5, 1, 2
Let v be -38 + 133 - (0 - 5). Determine p, given that 280*p**