. Factor -x*l - 64 - l**2 - 3*l**2 - 14*l + 45*l - 38*l.
-4*(l + 4)**2
Factor 8000/11 - 60/11*u**2 - 2/11*u**3 + 0*u.
-2*(u - 10)*(u + 20)**2/11
Let v = 311 - 35. Solve -284 - 10*s - 2*s**2 + v + 2*s = 0.
-2
Let z(i) be the third derivative of -7/9*i**3 - 5/24*i**4 + 0 + 0*i - 26*i**2 - 1/180*i**5. Solve z(n) = 0.
-14, -1
What is z in 86*z + 16/5*z**3 + 214/5*z**2 + 132/5 = 0?
-11, -2, -3/8
Find b such that -10*b + 0 + 43/3*b**2 + 46/3*b**3 - 25/3*b**4 + 2/3*b**5 = 0.
-1, 0, 1/2, 3, 10
Solve -640/3 - 335*b**2 + 190/3*b**3 + 1460/3*b - 5/3*b**4 = 0.
1, 4, 32
Let s(j) = 5*j**3 - 2*j**2 + 3*j. Suppose 82*v + 9 = 85*v. Let a(t) = -2*t**3 - t. Let d(y) = v*a(y) + s(y). Factor d(u).
-u**2*(u + 2)
Let k(l) = -l**2 + 73*l - 378. Let a(c) = -21*c**2 + 1608*c - 8316. Let u(i) = -2*a(i) + 45*k(i). Factor u(d).
-3*(d - 14)*(d - 9)
Let m(y) be the second derivative of 5*y**7/84 + y**6/4 - 41*y**5/8 - 85*y**4/8 + 410*y**3/3 + 420*y**2 + 4*y - 962. Find z, given that m(z) = 0.
-7, -3, -1, 4
Let b(k) = 3*k**4 + 4293*k**3 + 13*k**2 - 13*k - 26. Let x(o) = -2*o**4 - 2147*o**3 - 7*o**2 + 7*o + 14. Let y(u) = -7*b(u) - 13*x(u). Factor y(j).
5*j**3*(j - 428)
Find t, given that 55 - 188*t - t**2 + 55*t**2 - 52*t**2 + 3305 = 0.
24, 70
Let 29*s**3 + 90*s + 93*s**2 - 6*s**3 - 38*s**3 - 13*s**4 - 8*s**4 - 3*s**5 = 0. Calculate s.
-5, -3, -1, 0, 2
Factor -1038*s - 96*s**2 - 59*s**2 - 35*s**2 - 507*s**3 - 6912 + 34*s**2 + 6798*s.
-3*(s + 4)*(13*s - 24)**2
Let h be (-45156)/530 - (-11 + 1). Let m = h - -379/5. Find x, given that 12/5 - m*x**2 + 9/5*x = 0.
-1, 4
Suppose 5*s - 20 = 2*w - 3*w, -4*w + 4*s = -8. Find a such that -174*a + 401*a + w*a**3 + 175*a**2 + 1388*a + 1445 = 0.
-17, -1
Let i be (-24)/240*-102 + -10. Factor 2/5*c - i - 1/5*c**2.
-(c - 1)**2/5
Let p(v) = 6*v**4 + 68*v**3 + 508*v**2 + 4*v + 4. Let x(o) = 17*o**4 + 203*o**3 + 1525*o**2 + 11*o + 11. Let z(u) = 11*p(u) - 4*x(u). Factor z(y).
-2*y**2*(y + 16)**2
Let d = -223 - -219. Let t be -1*(d - (-2)/((-7)/(-7))). Factor 1/3*c**t + 5/3 - 2*c.
(c - 5)*(c - 1)/3
Let w be (-2522)/9 - (1 - 44/36). Let d = w + 280. Solve d*c**4 + 3/4*c**3 + 0*c + 0 - 1/4*c**5 + 1/2*c**2 = 0.
-1, 0, 2
Let j be 7 + (-3 - -1) - (-100)/(-20). Suppose j = 138*n - 148*n. Solve 0*i + n - 3*i**3 - 27/5*i**5 - 48/5*i**4 + 6/5*i**2 = 0.
-1, 0, 2/9
Let k(v) = 100*v**3 + 184*v**2 - 1114*v + 526. Let f(i) = 14*i**3 + 26*i**2 - 159*i + 75. Let r(d) = 22*f(d) - 3*k(d). Factor r(l).
4*(l - 3)*(l + 6)*(2*l - 1)
Suppose -65 - 1 = -6*u. Solve 50*o**4 - 80*o + u*o**5 + 7*o**5 + 6*o**5 - 33*o**5 - 165*o**3 + 200*o**2 + 4*o**5 = 0 for o.
0, 1, 4
Let i(m) be the second derivative of 0 - 2/3*m**4 + 13/10*m**5 + 2/5*m**6 - 2*m**2 - 13/3*m**3 + 20*m. Solve i(k) = 0 for k.
-2, -1, -1/6, 1
Let w(x) be the first derivative of -x**4/8 - 462*x**3 - 640332*x**2 - 394444512*x + 2498. Let w(c) = 0. Calculate c.
-924
Determine u, given that -229*u - 120 + 250*u**4 + 34*u + 77*u - 231*u - 130*u**2 + 9*u + 285*u**3 + 55*u**5 = 0.
-2, -1, -6/11, 1
Solve -40/9*m**4 - 1/9*m**5 + 175/9*m - 44/9 + 170/9*m**3 - 260/9*m**2 = 0 for m.
-44, 1
Suppose -88*t + 72*t + 320 = 0. Suppose -5*o - 4*f = -t, -10*o + f - 5 = -12*o. Factor o*h - 2/11*h**3 - 2/11*h**4 + 4/11*h**2 + 0.
-2*h**2*(h - 1)*(h + 2)/11
Let f = 37941 + -37939. Suppose -2 + 1/7*i**f - 5/7*i = 0. What is i?
-2, 7
Let b be (-13750)/(-9240) + 10/(-8). Let v(h) be the second derivative of 11*h + 6/7*h**2 + b*h**3 + 0 - 1/70*h**5 - 1/21*h**4. Determine r so that v(r) = 0.
-3, -1, 2
Let m(s) be the second derivative of -s**7/8 + 3*s**6/4 + 303*s**5/40 - 67*s**4/2 + 381*s**3/8 - 105*s**2/4 - 7324*s. Let m(q) = 0. What is q?
-5, 2/7, 1, 7
Let s be (((-14)/12)/(-7))/(1/12). Factor 13*u + 3*u + 40*u + 3*u**s - 110*u + 51.
3*(u - 17)*(u - 1)
Let r(m) be the first derivative of -9/2*m**2 - 1/15*m**3 + 1/30*m**4 - 1/150*m**5 - 10 + 0*m. Let j(g) be the second derivative of r(g). Factor j(y).
-2*(y - 1)**2/5
Suppose 778*w + 1341*w = 0. Suppose -21/4*o**2 + 0 + w*o + 3/4*o**3 - 3/4*o**5 + 21/4*o**4 = 0. What is o?
-1, 0, 1, 7
Let o(x) be the second derivative of -3*x + 10/9*x**3 - 19/6*x**2 - 1/36*x**4 + 7. Find z such that o(z) = 0.
1, 19
Let s be (100/56 - 2) + (-1890)/(-2646). Suppose 3/2*l**3 + 5/2*l**2 - s*l**4 + l + 0 - 1/2*l**5 = 0. What is l?
-1, 0, 2
Let r(q) be the second derivative of 0*q**2 + 8/3*q**4 + 242*q - 1/9*q**3 + 0. Let r(w) = 0. What is w?
0, 1/48
Suppose 17*n + 71 - 47 = 58. Let l(b) be the third derivative of 0*b + 1/75*b**5 - 1/100*b**6 + 0 + 8/45*b**3 + 1/9*b**4 + 26*b**n. Suppose l(k) = 0. What is k?
-2/3, 2
Let s = -467 - -156. Let h = s - -314. Factor 2/5*q**2 + 6/5*q**5 + 2/5*q**h + 0*q - 2*q**4 + 0.
2*q**2*(q - 1)**2*(3*q + 1)/5
Let s be 1*(8/(-2))/1*252/(-336). Let m(v) be the second derivative of 0 - 1/80*v**5 + 6*v + 1/24*v**s + 1/48*v**4 - 1/8*v**2. Let m(f) = 0. Calculate f.
-1, 1
Let a(b) = -7*b - 135*b**2 + 2*b**3 + 130*b**2 + 2*b - 3*b**3 - 1. Let q be a(-4). Factor -9*k**2 + 40*k**2 - 14*k**2 - 14*k**2 + q*k.
3*k*(k + 1)
Let c = 69892937/3304 + -10671/472. What is h in -159014/7 - 256/7*h**3 - c*h + 2/7*h**4 + 1548*h**2 = 0?
-1, 43
Suppose -269 = 3*u + 2*r - r, u - 3*r = -83. Let v = u - -92. Factor q**3 + 5*q**3 + q**4 + 2 - q + q**2 - 4*q**2 - 5*q**v.
(q - 1)**2*(q + 1)*(q + 2)
Let w(q) = -12*q. Let f(s) = -2*s + 2. Let r(j) = -j**2 + 26*j - 4. Let c(h) = 2*f(h) + r(h). Let x(m) = -3*c(m) - 5*w(m). Solve x(y) = 0.
0, 2
Let y = 3050595409/2361218860 - -1/8256010. Let q = y - 6/143. Find b, given that 1/2*b - q*b**2 + 0 + b**3 - 1/4*b**4 = 0.
0, 1, 2
What is n in 576 - 47*n + 323*n + 3*n**2 - 36 = 0?
-90, -2
Suppose 28 = 20*g - 13*g. Let z(d) = 9*d**2 + 3*d - 30. Let y be z(g). Find l such that 100/3*l - y*l**2 + 243*l**4 - 8/3 + 81*l**3 = 0.
-1, 2/9
Let m(l) be the second derivative of 16*l**2 - 8/3*l**3 + 1/6*l**4 - 2 - 9*l. Suppose m(y) = 0. What is y?
4
Let w(u) be the second derivative of -u**4/48 - 433*u**3/12 - 187489*u**2/8 + 5*u + 10. Factor w(r).
-(r + 433)**2/4
Let h(y) be the third derivative of 5*y**8/3528 - 103*y**7/2205 + 131*y**6/420 - 401*y**5/630 + 5*y**4/126 + 32*y**3/21 + 29*y**2 - 17. Solve h(p) = 0 for p.
-2/5, 1, 3, 16
Factor 75*v**2 - 78*v**2 + 464 + 0*v - 224 + 6*v.
-3*(v - 10)*(v + 8)
Let c(g) be the second derivative of -49*g**5/5 + 91*g**4/3 + 40*g**3/3 - 24*g**2 - 2939*g. Factor c(l).
-4*(l - 2)*(7*l - 2)*(7*l + 3)
Let z = -2/20809 + 1394383/1872810. Let c = z - -1/180. Let -n**4 + c*n - 9/4*n**3 + 0 + 5/2*n**2 = 0. Calculate n.
-3, -1/4, 0, 1
Let c(k) = -40*k**4 - 28*k**3 + 24. Let h(w) = -2 - 58*w**4 + w**5 - 61*w**4 + 120*w**4 + w**2. Let p(u) = -c(u) - 12*h(u). Let p(n) = 0. Calculate n.
-1, 0, 1/3, 3
Let b be ((-900)/500)/((-1)/5). Let d be (-4 - (-12 + b)) + 3. Factor 2/11*i**4 + d*i**2 + 0 + 10/11*i + 14/11*i**3.
2*i*(i + 1)**2*(i + 5)/11
Let p(b) = b**3 + 5*b**2 - 10*b - 14. Let o be p(-6). Let o - 18*n**2 + 12*n + 5 + 12*n**3 - 18 - 3*n**4 = 0. Calculate n.
1
Let m = -1043774/9 + 116364. Let z = m - 389. Factor z*t**3 + 1/3*t - 1 + 5/9*t**2.
(t - 1)*(t + 3)**2/9
Let l(q) be the first derivative of -q**4/6 + 12*q**3 + 19*q**2 - 220*q/3 + 6216. Suppose l(x) = 0. Calculate x.
-2, 1, 55
Suppose 118*b + 110 = 59 + 51. Let -4/11*v**2 - 6/11*v - 2/11*v**5 + 4/11*v**4 + b + 8/11*v**3 = 0. What is v?
-1, 0, 1, 3
Let d(g) be the first derivative of -12*g + 4*g**2 + 4/3*g**3 - 6. Factor d(x).
4*(x - 1)*(x + 3)
Let v(z) = 2 - 7*z + 7*z**2 + 2 - 11 + 10. Let h(o) = 6*o**2 - 6*o + 2. Let r(i) = 3*h(i) - 2*v(i). Find b, given that r(b) = 0.
0, 1
Let t(j) be the second derivative of 0*j**2 + j + 23 + 0*j**4 + 1/80*j**5 - 1/24*j**3. Factor t(m).
m*(m - 1)*(m + 1)/4
Let v(m) = 240*m - 36957. Let k be v(154). What is c in 30/11 + 58/11*c - 2/11*c**k + 26/11*c**2 = 0?
-1, 15
Factor 392/13*j + 19208/13 + 2/13*j**2.
2*(j + 98)**2/13
Solve 1132/9*n**2 - 736/9*n**3 - 170/3*n + 0 + 116/9*n**4 - 2/9*n**5 = 0.
0, 1, 5, 51
Let v(q) be the third derivative of q**8/252 - 2*q**7/135 - 7*q**6/270 + q**5/45 - 1007*q**2. Suppose v(l) = 0. Calculate l.
-1, 0, 1/3, 3
Let r(c) = -2*c**2 - c + 3. Let h(o) = -30*o**2 - 5820*o + 4210850. Let v(n) = h(n) - 16*r(n). Suppose v(u) = 0. Calculate u.
1451
Find q, given that -2/7*q**4 + 26450/7*q - 26910/7*q**2 + 0 + 66*q**3 = 0.
0, 1, 115
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