+ -24974. Let m(v) be the third derivative of 2/3*v**3 - 17*v**2 + 1/60*v**5 + 5/24*v**d + 0 + 0*v. Find u, given that m(u) = 0.
-4, -1
Suppose 41*u = 37*u - 8712. Let v = u - -3280. Factor -20*y**3 - 20*y**2 - v*y**4 + 547*y**4 + 550*y**4.
-5*y**2*(y + 2)**2
Let t be (-525)/35 - 21 - -36. Let -9*r**2 - 16*r + 1/2*r**4 + t*r**3 - 15/2 = 0. What is r?
-3, -1, 5
Let m(f) = -10*f**2 + 14600*f - 10599670. Let g(z) = -19*z**2 + 29192*z - 21199342. Let y(k) = 5*g(k) - 9*m(k). Factor y(v).
-5*(v - 1456)**2
Let z = 6 + 206. Let d be ((-1)/17)/(z/(-1802)). Find a such that d*a**2 - a + 1/2 = 0.
1
Find x such that -32*x - 3*x**2 + 4*x**2 + 137*x - 206 - 2*x**2 = 0.
2, 103
Let n(l) = -16*l + 115. Let j be n(7). Let -3 + 1 + 4 + 5*c**2 - 10*c + j = 0. Calculate c.
1
Let d(n) = -4 + 252*n**3 - 3*n**2 - 247*n**3 + 6*n**4 - 3*n**2 + n + 1. Let s(w) = -w**4 + w**3 + w**2 + w - 1. Let j(o) = -5*d(o) + 15*s(o). Factor j(v).
-5*v*(v - 1)*(v + 1)*(9*v + 2)
Let a(s) be the second derivative of -25/6*s**2 - 13/9*s**3 + 3 + 2*s - 1/36*s**4. Let a(c) = 0. Calculate c.
-25, -1
Let n(q) be the first derivative of -q**6/48 + 39*q**5/5 + 471*q**4/16 + 118*q**3/3 + 315*q**2/16 + 7926. Determine f, given that n(f) = 0.
-1, 0, 315
Find q such that 261/2 - 177/2*q - 2*q**4 + 353/2*q**3 - 433/2*q**2 = 0.
-3/4, 1, 87
Factor 0 + 19/2*g**3 - 12*g - 113*g**2.
g*(g - 12)*(19*g + 2)/2
Determine f so that -9450*f + 330750 + 90*f**2 - 2/7*f**3 = 0.
105
Let i = -3/21283 + 63873/170264. Factor 1/4*f**2 - i*f**3 + 0 + 0*f + 1/8*f**4.
f**2*(f - 2)*(f - 1)/8
Factor 0 - 166/7*f + 496/7*f**2 + 6/7*f**3.
2*f*(f + 83)*(3*f - 1)/7
Let n(r) = 38*r**3 - 10738*r**2 + 63771*r - 95391. Let z(w) = 105*w**3 - 29530*w**2 + 175370*w - 262325. Let c(a) = -25*n(a) + 9*z(a). Let c(m) = 0. What is m?
3, 530
Let z be (2 + -7 - 22)*1/3. Let o be 1*-123*3/z - -3. Determine v, given that 0*v**2 + 5*v**2 + o*v - 64*v = 0.
0, 4
Factor 60*w - 8*w**2 - 4/3*w**3 + 200/3.
-4*(w - 5)*(w + 1)*(w + 10)/3
Suppose 0 = 560*t - 534*t. Let u(x) be the second derivative of 1/4*x**5 - 21*x + 1/3*x**6 + 0*x**2 - 5/6*x**3 - 5/6*x**4 + t. Factor u(f).
5*f*(f - 1)*(f + 1)*(2*f + 1)
Let l(i) be the third derivative of 1352*i**4 + 1/30*i**6 + 0*i - 80*i**2 - 281216/3*i**3 - 52/5*i**5 + 0. Determine y so that l(y) = 0.
52
Let b(a) = 16*a**3 + 1 + 16*a**3 + 3*a**2 + 3*a - 25*a**3. Let w = 84 - 91. Let y(u) = -8*u**3 - 3*u**2 - 3*u - 1. Let l(r) = w*b(r) - 6*y(r). Factor l(p).
-(p + 1)**3
Let b(u) = u + 1. Let g be b(1). Let p be 22692/3782 + 75/(-21). Solve -31/7*n**3 + 0 - 6/7*n - p*n**4 - 3/7*n**5 - 23/7*n**g = 0 for n.
-3, -1, -2/3, 0
Let d be (-2)/((-20)/6) + (-26)/320*-8. Let g(o) be the first derivative of 0*o**2 - 5/6*o**6 + 0*o + 20 + 5/3*o**3 + d*o**4 - o**5. Factor g(x).
-5*x**2*(x - 1)*(x + 1)**2
Let l be (198/165)/(6/10). Let -p**l + 32*p - 32*p**3 + 7424*p**4 - 7410*p**4 - 8 - 5*p**2 = 0. Calculate p.
-1, 2/7, 1, 2
Determine d so that -7560435*d**2 - 71*d - 141*d + 244 - 92*d + 7560495*d**2 = 0.
1, 61/15
Let k be ((-29504)/720 - -41)/((-2)/(-48)). Let k*w - 2/15*w**2 + 0 = 0. What is w?
0, 4
Let a be 9*(-104)/(-2457)*(8 + 36/(-8)). Factor -a*q**2 + 10/9*q**3 + 0*q + 0 - 2/9*q**4.
-2*q**2*(q - 3)*(q - 2)/9
Let o = 102043 - 510209/5. Factor o*u + 81/5*u**3 + 21/5*u**5 + 69/5*u**4 + 39/5*u**2 + 0.
3*u*(u + 1)**3*(7*u + 2)/5
Let k be 446/4*-9*2/(-3). Let w = k + -666. Factor 2*s**2 - 1/3*s**w + 0*s - 32/3.
-(s - 4)**2*(s + 2)/3
Suppose -16314672/5 + 13992/5*t - 3/5*t**2 = 0. Calculate t.
2332
Let h(n) be the second derivative of n**7/189 - 64*n**6/135 + 584*n**5/45 - 64*n**4/3 - 3072*n**3 - 24576*n**2 - 1421*n + 3. Factor h(c).
2*(c - 24)**3*(c + 4)**2/9
Let t(l) be the third derivative of l**8/84 - 2*l**7/105 - 2*l**6/15 + 4*l**5/15 + 4431*l**2. Factor t(v).
4*v**2*(v - 2)*(v - 1)*(v + 2)
Let l**2 + 559504 + 1259*l - 2234*l + 2471*l = 0. What is l?
-748
Let c = 45988/2485 + -484/355. Suppose 2/7*t**5 + 0 + 26/7*t**3 + 72/7*t - 20/7*t**4 + c*t**2 = 0. Calculate t.
-1, 0, 6
Let k(x) = -3*x**3 + x**2 + 2*x - 1. Let f(g) = -52*g**3 + 22*g**2 + 47*g - 26. Let s(l) = f(l) - k(l). Factor s(d).
-(d + 1)*(7*d - 5)**2
Let j(h) = 5*h**3 + 106*h**2 + 566*h + 303. Let w(m) = 20*m**3 + 425*m**2 + 2266*m + 1213. Let l(f) = -13*j(f) + 3*w(f). Let l(x) = 0. What is x?
-10, -3/5
Let g = -84 - -256/3. Let v be 9*120/135 - (-3)/((-6)/8). Factor 26/9*n**2 + 2/9*n**v + 8/9 + g*n**3 + 8/3*n.
2*(n + 1)**2*(n + 2)**2/9
Let h be -60*(-550)/2376 + 43. What is r in 1/9*r**3 + 320/9*r - 34/9*r**2 - h = 0?
2, 16
Let u = -2716 + 2719. Let y = -5 - -9. Factor 8*q**u - 30*q + 7*q**3 + 5*q**2 - 3*q**y - 24 + 4*q**2 - 3*q**3.
-3*(q - 4)*(q - 2)*(q + 1)**2
Let k(u) be the second derivative of -u**7/126 + 7*u**6/45 - 2*u**5/5 - 1234*u. Factor k(w).
-w**3*(w - 12)*(w - 2)/3
Let k(j) be the third derivative of -j**6/840 - 233*j**5/420 - 1711*j**4/21 - 6728*j**3/21 + 3041*j**2. Factor k(x).
-(x + 1)*(x + 116)**2/7
Let q(f) be the first derivative of -f**5/60 - 5*f**4/24 - 21*f**2 - f + 18. Let n(m) be the second derivative of q(m). Determine g, given that n(g) = 0.
-5, 0
Let x be (10877/(-1788) - 4/6)*12/(-18). Suppose -6*a**4 + 6*a**2 - x*a**3 + 0 - 3/4*a**5 + 21/4*a = 0. Calculate a.
-7, -1, 0, 1
Let w be (5 - 7)*(-3 - -4). Let v be (3 + -1 + w)/(-2 + 4). Suppose -6*h**2 + 3*h - h**2 + h**5 + v*h**2 + 12*h**3 - 3*h**2 - 6*h**4 = 0. What is h?
0, 1, 3
Let p(o) be the first derivative of -16/5*o**2 - 104/15*o - 252 + 1/30*o**4 - 2/5*o**3. Determine d so that p(d) = 0.
-2, 13
Suppose 0 = -15*w - j - 101 + 126, -3*w - 3*j - 9 = 0. Factor 0 - 144/5*m - 84/5*m**w - 1/5*m**4 - 16/5*m**3.
-m*(m + 4)*(m + 6)**2/5
Let k = 9533299/7 - 1359007. Let r(a) = 55*a**2 + 162*a - 7. Let m be r(-3). Factor 6075/7*z + 9375/7*z**5 + 28125/7*z**4 + k*z**m + 33750/7*z**3 + 729/7.
3*(5*z + 3)**5/7
Let j(b) = -16*b + 162. Let g be j(10). Find k such that -2*k**2 - 8*k**2 + 4*k**3 - 40*k**g + 484*k - 38*k**2 = 0.
0, 11
Let v be (-2)/7 + (-20)/28. Let r be 12/18 - v/3 - -2. Factor 4 + 4 + 10*s - r*s**4 + 6*s**2 - 2*s**3 + s**4 - 4.
-2*(s - 2)*(s + 1)**3
Find o, given that 2/3*o**4 + 920/3*o - 208 + 22*o**3 - 148*o**2 = 0.
-39, 2
Let q(b) be the second derivative of -6885/14*b**3 - 783/70*b**5 - 1/98*b**7 - 15 + 39/70*b**6 + 18225/14*b**2 - 5*b + 1431/14*b**4. Factor q(c).
-3*(c - 15)**2*(c - 3)**3/7
Let l be 2/6 - 20619/(-27). Let j = 766 - l. Factor 12/5*s**3 - 24/5*s**j - 2/5*s**4 + 16/5*s + 0.
-2*s*(s - 2)**3/5
Suppose 0 = 45*h - 34675 + 4840. Factor 138 + 1329*g**2 - h*g**2 - 663*g**2 + 75*g.
3*(g + 2)*(g + 23)
Suppose -9 = 17*l - 20*l. Factor 14*v**3 - 14*v + 19*v + 5 - 19*v**l - 5*v**2.
-5*(v - 1)*(v + 1)**2
Suppose 30*w - 28*w = 8. Factor 7*m**3 + 4*m**w + 160*m + 8*m**2 + 5*m**3 - 160*m.
4*m**2*(m + 1)*(m + 2)
Let i = -708 - -710. Let n be -30 - -28 - (i - 8). What is u in 2/7*u**3 + 4/7 + 6/7*u**2 - 10/7*u - 2/7*u**n = 0?
-2, 1
Suppose -116 + 1137*d**4 - 1397*d**2 - 9*d**5 - 1406*d - 140 - 17863*d**3 + 19794*d**3 = 0. Calculate d.
-2, -1/3, 1, 128
Let w be (3 - (0 - -2)/(-2)) + -1. Suppose -w = -3*y, m - 15 = -3*m - 3*y. Factor z**3 + 4*z + z**3 - 7*z**m + z**3.
-4*z*(z - 1)*(z + 1)
Let z = -699827 - -2099483/3. Suppose -68*d + z*d**2 + 1734 = 0. Calculate d.
51
Let f(u) be the third derivative of 19/15*u**3 + u**2 + 0*u + 17/120*u**4 + 188 - 1/300*u**5. Factor f(k).
-(k - 19)*(k + 2)/5
Let o be -1 + -5 + 11 + -5. Factor -6*c**2 - 1982 - 5*c + o*c**2 + 2*c**2 + 1980 - c**3.
-(c + 1)**2*(c + 2)
Let g be 3124225/4875 - ((-12)/15)/(-4). Determine m, given that 2/3*m**2 + g + 124/3*m = 0.
-31
Let d(v) be the second derivative of v**7/84 - v**6/5 + 6*v**5/5 - 10*v**4/3 + 4*v**3 - 2677*v + 1. Determine x, given that d(x) = 0.
0, 2, 6
Let x(l) = 56*l**2 - 476*l - 3000. Let d(p) = -23*p**2 + 190*p + 1200. Let t(o) = -12*d(o) - 5*x(o). Let t(q) = 0. What is q?
-5, 30
Let w(m) = 19*m**2 - 429*m - 1536. Let c(j) = 5*j**2 - 107*j - 376. Let v(l) = 22*c(l) - 6*w(l). Factor v(x).
-4*(x - 59)*(x + 4)
Let s(a) be the first derivative of 961*a**3 + 2889*a**2/2 + 6*a + 2180. Determine t so that s(t) = 0.
-1, -2/961
Let p(h) be the first derivative of -h**6/24 + 4*h**5/5 + 255*h**4/16 + 533*h**3/6 + 449*h**2/2 + 270*h - 3234. Find x, given that p(x) = 0.
-5, -2, 27
Let d(v) = 48*v**2 + 217*v +