e third derivative of g**5/20 - 5*g**4/2 - 192*g**3 + 7109*g**2. Let u(k) = 0. What is k?
-12, 32
Suppose 9*n = 122 + 40. Let g be (-105)/28*(-24)/n. Determine b, given that 10/3*b - 5/6*b**g + 10/3*b**2 - 10/3*b**4 + 0 - 5/2*b**3 = 0.
-2, -1, 0, 1
Let b = 22931/10 - 2293. Let u(c) be the first derivative of -b*c**5 - 1/8*c**4 - 7 + 1/6*c**3 + 0*c + 1/4*c**2. Factor u(v).
-v*(v - 1)*(v + 1)**2/2
Let b be 5281/660 + (-6 - -142)/(-17). Let y(g) be the third derivative of 0 + 1/1320*g**6 + 0*g + 0*g**4 + b*g**5 + 0*g**3 - g**2. Factor y(a).
a**2*(a + 1)/11
Solve -16/5*z - 18/5 + 2/5*z**2 = 0 for z.
-1, 9
Let d(a) be the third derivative of -a**7/210 - 47*a**6/30 - 247*a**5/20 - 461*a**4/12 - 184*a**3/3 - a**2 + 259*a. Factor d(z).
-(z + 1)**2*(z + 2)*(z + 184)
Suppose -2*t = 28*q - 29*q + 3, -17*t + 20 = -2*q. Factor -48/5*c - 2/5*c**t - 288/5.
-2*(c + 12)**2/5
Let j(y) be the third derivative of -y**8/168 - 71*y**7/105 - 113*y**6/20 - 601*y**5/30 - 116*y**4/3 - 44*y**3 - 4081*y**2. Factor j(m).
-2*(m + 1)**3*(m + 2)*(m + 66)
What is q in 80/7 - 4/7*q**5 - 34/7*q**2 - 46/7*q**4 - 118/7*q**3 + 122/7*q = 0?
-8, -5/2, -1, 1
Let a(t) be the first derivative of 0*t**2 - 1/2*t**4 - 55 + 2/3*t**3 + 0*t. Factor a(b).
-2*b**2*(b - 1)
Let n(i) be the second derivative of 1/110*i**5 - 2 - 7/11*i**2 - 3/22*i**4 + 20*i + 5/11*i**3. Factor n(j).
2*(j - 7)*(j - 1)**2/11
Let i(q) = q**5 + 7*q**4 - 15*q**3 - 10*q**2 + 10*q - 10. Let k(y) = y**4 - 2*y**2 + 2*y - 2. Let x(t) = 4*i(t) - 20*k(t). What is u in x(u) = 0?
-5, 0, 3
Let h = -286 + 284. Let l be h/42*(-26 - -2). Find z such that 0 - l*z**3 - 8/7*z**2 + 2/7*z**5 + 0*z + 2/7*z**4 = 0.
-2, -1, 0, 2
Let w(g) be the third derivative of g**5/12 - 25*g**4/6 + 8*g**2 + 83. Determine v so that w(v) = 0.
0, 20
Let r(a) be the third derivative of 0*a + 57*a**2 - 2 - 8/165*a**5 + 0*a**3 - 3/44*a**4. Factor r(b).
-2*b*(16*b + 9)/11
Factor 3/5*i**3 + 144/5*i - 48/5*i**2 + 0.
3*i*(i - 12)*(i - 4)/5
Let s(d) be the first derivative of -d**2 - 4*d + 4/3*d**3 + 1/2*d**4 - 199. Factor s(x).
2*(x - 1)*(x + 1)*(x + 2)
Suppose 152 - 4*g - 2*g**5 - 224*g**3 - 148*g**2 + 224*g + 60*g**2 - 64*g**4 + 6*g**5 = 0. What is g?
-2, -1, 1, 19
Suppose -4*w = 5*y - 16, 4*w + y - 15 = 1. Suppose 8*z - 6*z = w. Factor -z*u**2 - 8*u**3 - 2 + 2*u**3 + 4*u**2 + 7*u - u**3.
-(u - 1)*(u + 1)*(7*u - 2)
Let i(n) be the first derivative of n**6/4 - 6*n**5/5 - 87*n**4/8 - 12*n**3 + 2718. Let i(l) = 0. What is l?
-3, -1, 0, 8
Let q(a) = -2*a + 1. Let c = 11 - 12. Let x be q(c). Suppose -x*h**3 + 8*h**3 + 10*h**2 - 2*h + 0*h**2 + 7*h = 0. Calculate h.
-1, 0
Let x = 325 + -323. Factor 0*k**2 + 2*k**2 + k**3 - 3*k**3 + 3*k**x - k**2.
-2*k**2*(k - 2)
Suppose -10*x + 3268 = -6*x. Determine v, given that 6*v**2 - x - 24*v + 3*v**3 + 404 + 413 = 0.
-4, 0, 2
What is s in 2402432/11 + 4384/11*s + 2/11*s**2 = 0?
-1096
Let f(l) = -3*l**2 + 783*l. Let s(z) = -z**2 + 388*z. Let d(a) = 4*f(a) - 10*s(a). Factor d(i).
-2*i*(i + 374)
Let m(u) = -42*u**3 + 294*u**2 - 765*u + 531. Let n(s) = 20*s**3 - 148*s**2 + 383*s - 266. Let d(c) = 4*m(c) + 9*n(c). Factor d(i).
3*(i - 10)*(2*i - 3)**2
Let k be 31581/28710*(2 - 18/11). Determine p, given that 0*p + 0 - 2/5*p**2 + k*p**4 - 2/5*p**3 + 2/5*p**5 = 0.
-1, 0, 1
Factor -150*i + 106/3*i**2 + 24 + 4*i**3.
2*(i - 3)*(i + 12)*(6*i - 1)/3
Let t be 154/10*418/2090 + 4/(-50). Factor -19/2*f**4 + 0*f + 33/2*f**5 - f**t + 0 + 0*f**2.
f**3*(3*f - 2)*(11*f + 1)/2
Determine u so that -1/4*u**2 - 235/2*u + 0 = 0.
-470, 0
Solve -240 + 10*w**4 - 520*w**2 - 5*w**5 + 282*w + 57910*w**3 - 57775*w**3 + 338*w = 0.
-6, 1, 2, 4
Let w(c) be the first derivative of -2*c**5/35 - c**4/7 + 8*c**3/3 - 46*c**2/7 + 6*c + 1224. Suppose w(j) = 0. Calculate j.
-7, 1, 3
Let h(s) be the third derivative of -320/3*s**3 - 1/150*s**5 + 0*s - 3*s**2 + 14 - 4/3*s**4. Find k, given that h(k) = 0.
-40
Let g be ((-8388)/64308)/(3/(-46)). Let 10/9*t + 0 - 2*t**g + 2/3*t**3 + 2/9*t**4 = 0. What is t?
-5, 0, 1
Suppose 0 + 106/7*l**4 + 54/7*l**3 - 36/7*l**2 + 16/7*l**5 + 0*l = 0. What is l?
-6, -1, 0, 3/8
Let j be 9/(-6)*26/(-13). Suppose 2*m**2 + 4*m**j - 7 - 1 - 30*m + 11*m + 3*m = 0. What is m?
-2, -1/2, 2
Let l be ((-2)/14)/((-581)/16268). Solve l + 53/2*f**3 + 5/2*f**5 - 17*f**2 - 14*f**4 - 2*f = 0.
-2/5, 1, 2
Factor 0 + 32/7*t**3 - 2/7*t**4 + 300/7*t - 170/7*t**2.
-2*t*(t - 6)*(t - 5)**2/7
Factor -729/4*z**3 - 595/4*z - 8073/4*z**2 - 11/4.
-(z + 11)*(27*z + 1)**2/4
Factor -250*o**2 - 125000*o - 1/6*o**3 - 62500000/3.
-(o + 500)**3/6
Let 9*g**4 - 35*g**2 - 32*g**3 + 2*g**3 - 11*g**4 - 8*g**3 + 278*g - 160 - 43*g**2 = 0. Calculate g.
-16, -5, 1
Suppose -3*k = 4*w - 216, 4*w + 104 = 2*k + 340. Suppose -104*s + 59*s**2 - w*s**2 - 86 + 79 + 1359 = 0. What is s?
26
Let j(a) be the third derivative of -a**8/1680 + 2*a**7/75 - 8*a**6/25 + 209*a**5/150 - 367*a**4/120 + 19*a**3/5 - 8752*a**2. Solve j(s) = 0 for s.
1, 6, 19
Let b be ((-6)/64)/(28 + (-16498)/584). Find c such that 0*c - 9/8*c**4 + 0*c**2 - b*c**5 + 3/2*c**3 + 0 = 0.
-4, 0, 1
Let u be (19674/68859)/((-2)/(-14)). Factor -18/7*d**u - 27/7*d + d**4 + 10/7*d**3 + 1/7*d**5 + 27/7.
(d - 1)**2*(d + 3)**3/7
Let y be (366/90 + -3)*(8 + (-22)/4). Factor 2/3*d**2 - y + 8/3*d - 2/3*d**3.
-2*(d - 2)*(d - 1)*(d + 2)/3
Solve 1/5*g**4 - 82/5*g**3 + 1597/5*g**2 + 1764/5 + 3444/5*g = 0 for g.
-1, 42
Let d(g) be the second derivative of g**6/90 + 169*g**5/60 + 55*g**4/2 + 982*g**3/9 + 652*g**2/3 - 2*g - 235. Factor d(h).
(h + 2)**3*(h + 163)/3
Let w = 1815/329 - 264/329. Suppose w*s**3 + 0 + 18/7*s**2 + 0*s - 51/7*s**4 = 0. Calculate s.
-6/17, 0, 1
Factor -3/5*n**2 - 1257/5 + 252*n.
-3*(n - 419)*(n - 1)/5
Let x be 0/((-2)/(8/4)). Suppose 2*l = 3*l - 2*k - 5, -k = x. Factor -8*t**4 - 2*t**3 + 688 - 6*t**l - 688.
-2*t**3*(t + 1)*(3*t + 1)
Let z(b) be the second derivative of b**5/240 + 7*b**4/96 + b**3/2 + 67*b**2/2 - 75*b. Let n(a) be the first derivative of z(a). Factor n(c).
(c + 3)*(c + 4)/4
Solve 14/13*p**2 - 32 - 1452/13*p = 0 for p.
-2/7, 104
Let t(y) be the first derivative of 45 + 1/12*y**3 + 4*y - y**2. Factor t(m).
(m - 4)**2/4
Let o(p) be the first derivative of -2*p**2 + 4/27*p**3 - 88/9*p - 175. Find t such that o(t) = 0.
-2, 11
Let b(c) be the second derivative of c**6/6 - c**5 - 25*c**4/4 + 15*c**3 + 225*c. Factor b(a).
5*a*(a - 6)*(a - 1)*(a + 3)
Let u be (-1876)/154 - -12 - (-1456)/22. Let o be (-11)/(u/(-72))*2/16. Find q, given that o - 3/2*q**3 + 3/2*q - 3/2*q**2 = 0.
-1, 1
Let b be ((-18)/24*2)/((-36)/(-60))*4/(-15). Determine w so that 44/9*w + 16/3 + b*w**2 = 0.
-6, -4/3
Let d(r) = -r**2 + r + 14. Suppose -11 = 2*l + j, -2*l + 0*j - 4*j = 26. Let u be d(l). Solve z**3 + 15*z**u - 26*z**2 + z**4 + 9*z**2 = 0.
-2, 0, 1
Let u(z) be the first derivative of -z**6/2 + 54*z**5/5 - 24*z**4 + 234. Factor u(p).
-3*p**3*(p - 16)*(p - 2)
Let j be (-38)/(-16) - (975/40)/65. Let n(q) be the first derivative of -5/2*q**4 + 35/3*q**3 - 35/2*q**j + 10*q - 28. Factor n(p).
-5*(p - 2)*(p - 1)*(2*p - 1)
Suppose 27/5 + 9/5*g - 3*g**2 + 3/5*g**3 = 0. Calculate g.
-1, 3
Let v be 6/(-12)*0/1*402/804. Factor v*y + 4/5*y**3 + 1/5*y**5 + 0*y**2 + y**4 + 0.
y**3*(y + 1)*(y + 4)/5
Let p be (-14)/28*(1 + -1) + 6. Factor -p*z**4 + 13*z - 281*z**3 - 1 + 0 + 29*z**2 - 2 + 288*z**3.
-(z - 3)*(z + 1)**2*(6*z - 1)
Factor 40/9 - 1/9*u**3 - 9*u + 14/3*u**2.
-(u - 40)*(u - 1)**2/9
Let n(b) = 5*b**2 - 11*b - 13. Let j(h) = -h**2 + 16*h - 36. Let k be j(3). Let f(l) = -l**2 + l + 1. Let q(w) = k*f(w) + n(w). Suppose q(m) = 0. Calculate m.
-1, 5
Let q(k) = 294*k - 9408. Let c be q(32). Factor c + 3/4*g**2 - 3/4*g**5 + 3/4*g**3 - 3/4*g**4 + 0*g.
-3*g**2*(g - 1)*(g + 1)**2/4
Let n be (-4 - 1)*(-18)/45. Let 13*m - 9*m + 0*m**2 + 26*m - 75 - 3*m**n = 0. What is m?
5
Let s(u) = 53*u - 131. Let w be s(16). Let v = w - 715. Suppose 5 + 1/5*p**v - 2*p = 0. What is p?
5
Let a(j) be the second derivative of -j**6/120 - j**5/30 - 28*j**2 + 87*j. Let o(f) be the first derivative of a(f). Factor o(g).
-g**2*(g + 2)
Let g(v) be the third derivative of 0*v**3 + 7/360*v**6 - 1/630*v**7 - 27 - 4/45*v**5 + 1/6*v**4 + 0*v - v**2. Factor g(w).
-w*(w - 3)*(w - 2)**2/3
Factor 2/17*r**2 + 540/17 - 118/17*r.
2*(r - 54)*(r - 5)/17
Let m(v) be the second derivative of 