*6/5 + 21*f**5/5 + 3*f**4/2 - 29*f**3/2 - 27*f**2 - 6*f - 147. What is k in l(k) = 0?
-9, -2, -1, 1
Suppose 2*v + 4*v = -384. Let u = v + 67. Factor 2 + i - 4*i**3 + 6*i**u - 8*i**2 - 3*i + 6*i**2.
2*(i - 1)**2*(i + 1)
Let y(b) = 8*b + 4. Let s be y(4). Let l(k) = -k**3 + 1. Let v(m) = -16*m**3 + 26*m**2 - 28*m + 18. Let h(t) = s*l(t) - 2*v(t). Factor h(j).
-4*j*(j - 1)*(j + 14)
Suppose -2*o + 10*o + 1072 = 0. Let g be (-8)/(-40) - o/5. Suppose 45 - 59*l**2 - 28*l - g - 22 + 10*l**2 = 0. Calculate l.
-2/7
Let v(m) be the third derivative of m**5/90 + 68*m**4/3 - 817*m**3/9 + 2195*m**2. Factor v(n).
2*(n - 1)*(n + 817)/3
Let b(v) be the third derivative of v**8/3360 - v**6/80 + 29*v**3/6 - 2*v**2. Let i(t) be the first derivative of b(t). Factor i(f).
f**2*(f - 3)*(f + 3)/2
Let w(u) be the third derivative of -u**7/1995 + u**6/38 + 13*u**5/114 - 5*u**4/38 - 64*u**3/57 - 2*u**2 - u. Determine n so that w(n) = 0.
-2, -1, 1, 32
Factor 1804786/7*w + 1508*w**3 + 215296/7*w**2 + 236/7*w**4 + 2/7*w**5 + 2829124/7.
2*(w + 2)*(w + 29)**4/7
Let w be ((-10)/(-22))/(5/(-35) - 11/(-28)). Find c such that 144/11*c**2 + 49/11*c**4 + 0 + w*c + 273/11*c**3 = 0.
-5, -2/7, 0
Let o(n) = -145*n**2 + 2730*n - 17600. Let y(z) = -11*z**2 + 210*z - 1354. Let l(k) = 3*o(k) - 40*y(k). Solve l(w) = 0 for w.
8, 34
Solve 0*j**2 - 2518689*j + 2517000*j - 3*j**2 = 0 for j.
-563, 0
Determine g, given that -3*g**3 + 365*g - 198*g - 1031*g + 438*g**2 = 0.
0, 2, 144
Let a(k) be the first derivative of -k**7/14 + 3*k**5/4 - 2*k**3 + 25*k - 9. Let p(x) be the first derivative of a(x). Determine j, given that p(j) = 0.
-2, -1, 0, 1, 2
Let g be (-1)/(24/(-18)) - (3807/(-60) - -40). Solve -22/5*u + g + 1/5*u**2 = 0.
11
Let p = -4440 - -8881/2. Let j(g) be the first derivative of -2 - 1/9*g**3 + 0*g - p*g**2. Factor j(l).
-l*(l + 3)/3
Let k be (-10)/230*2438/(-424). Factor 33/4*n**2 + 5 + 5/2*n**3 + 11*n + k*n**4.
(n + 1)*(n + 2)**2*(n + 5)/4
Let o(m) be the second derivative of -m**4/60 - 25*m**3/3 + 251*m**2/10 + 4767*m. Solve o(f) = 0 for f.
-251, 1
Let r(q) = q**4 + 640*q**3 + 3420*q**2 + 6914*q + 4634. Let l(a) = -3*a**4 - 1295*a**3 - 6840*a**2 - 13827*a - 9267. Let t(c) = 6*l(c) + 13*r(c). Factor t(d).
-5*(d - 116)*(d + 2)**3
Let d be ((-2)/(-6))/(1/(-5))*-3. Factor -d*a - 87 - 13 + 7*a - a**2 - 22*a.
-(a + 10)**2
Suppose 19*f - 64 = 35*f. Let t be (-29)/(-5) - -3 - (f - -10). Factor -t - 2/5*a**2 - 16/5*a.
-2*(a + 1)*(a + 7)/5
Let v = 50363/9 - 100723/18. Factor 4/3*w**4 - 11/6*w + 16/3*w**2 - 5*w**3 + 0 + v*w**5.
w*(w - 1)**3*(w + 11)/6
Let g(p) = 2*p**2 - 8*p + 1. Let i be g(4). Let l be (-30)/(-12) + (i - 6/2). Let 2 + l*s**2 + 2*s = 0. Calculate s.
-2
Let n(m) be the first derivative of 0*m + 1/3*m**4 - 2/15*m**5 + 8/9*m**3 - 1/18*m**6 + 0*m**2 - 108. Solve n(b) = 0 for b.
-2, 0, 2
Determine k so that 1 - 75252*k**2 + 75100*k**2 - 1 + 10*k + 830*k + 2*k**3 = 0.
0, 6, 70
Let c(l) be the first derivative of 53 - 1/12*l**3 + 7/8*l**2 + 0*l. Factor c(k).
-k*(k - 7)/4
Suppose 32*d - 27*d = 3*h + 4, 5*h - 4*d - 2 = 0. Factor 2080 - 105*p - 2080 + 5*p**h.
5*p*(p - 21)
Let x(b) be the third derivative of -b**6/180 + 77*b**5/30 + 175*b**4/9 + 52*b**3 - 2*b**2 + 371. What is y in x(y) = 0?
-2, -1, 234
Let l(n) = -n**2 - 819*n - 8089. Let o be l(-10). Factor 5/4*c - 1/4*c**2 - o.
-(c - 4)*(c - 1)/4
Let d = 137/43 + -2723/1462. Let u = 305/102 - d. Factor -1/3*r**2 + u*r - 4/3.
-(r - 4)*(r - 1)/3
Let u(q) be the first derivative of q**7/7980 + 7*q**6/190 + 1323*q**5/380 + 5*q**3/3 - q - 251. Let t(n) be the third derivative of u(n). Factor t(g).
2*g*(g + 63)**2/19
Suppose -23*g + 22*g = 14. Let k be -1*(4/g)/(0 + 2). Find y such that -1/7*y**2 + 0 + k*y**4 + 1/7*y**3 - 1/7*y = 0.
-1, 0, 1
Let n be -1 - -1 - (-24 - -21). Factor 269*v**2 - 24 - 299*v**2 + 4 - 10*v**3 + 45*v + 15*v**n.
5*(v - 4)*(v - 1)**2
Determine x so that 641789*x**3 - 5 + 1494*x + 3796*x + 130456*x**3 - 1355*x - 776175*x**2 = 0.
1/393, 1
Suppose 0 = -1234*w + 1238*w - 12. Let j be w - (0 - 25/(-15)). What is u in -11/3*u**2 - j*u**3 - 5/3*u + 2/3 = 0?
-2, -1, 1/4
Factor 63*z + 72*z**2 - 40 - 98 - 9634*z**3 + 19273*z**3 - 9636*z**3.
3*(z - 1)*(z + 2)*(z + 23)
Let g be (-50)/(-24) + 1584/(-990)*10/8. Let j(w) be the second derivative of g*w**4 + 0*w**2 + 0 - 7*w + 0*w**3. Factor j(m).
m**2
Let d(y) = -6*y**5 + 32*y**4 - 54*y**3 - 52*y**2 + 100*y + 48. Let s(u) = u**5 + u**4 - 6*u. Let g(w) = -2*d(w) - 4*s(w). Find a, given that g(a) = 0.
-1, -1/2, 2, 6
Let s(z) be the third derivative of z**5/100 + 9*z**4/20 - 63*z**3/10 - 621*z**2 - 3*z. Determine a, given that s(a) = 0.
-21, 3
Suppose 5*o = -4*s + 41 + 25, 5*s = o + 10. Let m be (-6)/5 + 32/o. Factor -5*h**3 - 71/3*h**m - 8/3 - 46/3*h.
-(h + 4)*(3*h + 1)*(5*h + 2)/3
Let z(m) = -m**2 + 28*m - 41. Suppose 156*d - 138 = 151*d - 4*u, 3*d - 68 = 5*u. Let c be z(d). Find q, given that 121/2 - c*q + 1/2*q**2 = 0.
11
Let s be (-341)/(-1023)*(4 + 5). Determine d so that -32/13 + 16/13*d**s - 2/13*d**4 - 32/13*d - 2/13*d**5 + 16/13*d**2 = 0.
-2, -1, 2
Suppose -1/4*d**3 + 63/2 + 251/4*d + 31*d**2 = 0. Calculate d.
-1, 126
Let p(v) be the third derivative of 0*v - 1/3*v**3 + 17/72*v**4 + 0 + 7/360*v**6 + 9*v**2 - 1/630*v**7 - 17/180*v**5. Factor p(x).
-(x - 3)*(x - 2)*(x - 1)**2/3
Suppose 2*i - 7 = -5*x - 8, -4*x = 4. Let a(r) be the first derivative of 0*r**2 - 2/3*r**3 + i + 0*r. Factor a(m).
-2*m**2
Let l = 653 - 651. Suppose l*j + 6 = 2*g, -5*j - 40*g = -39*g - 15. Solve 112/11*x**4 - 8/11*x - 32/11*x**5 + 0 - 56/11*x**j - 6*x**3 = 0.
-1/4, 0, 2
Let r(q) = 7*q**2 + 3*q - 3. Let s(x) = -2*x - 3. Let f(u) = r(u) - 2*s(u). Let w(a) = 7*a + 4 + 4*a - 3*a + 8*a**2. Let y(n) = 4*f(n) - 3*w(n). Factor y(p).
4*p*(p + 1)
Let z(c) = -16300*c**2 + 3475*c - 125. Let b(x) = -1811*x**2 - 13 - 1 + 386*x + 0. Let v(u) = -55*b(u) + 6*z(u). Factor v(t).
5*(19*t - 2)**2
Let x(w) be the first derivative of w**6/15 + 509*w**5/25 - 769*w**4/20 - 253*w**3/15 + 767*w**2/10 - 256*w/5 + 3008. Solve x(g) = 0 for g.
-256, -1, 1/2, 1
Let a = -400 - -429. Factor 2*k**3 + 19 + 22 + a*k**2 + 17*k - k**2 + 69*k + 19.
2*(k + 1)*(k + 3)*(k + 10)
Factor -2150*u + 503*u**2 + 810 + 2*u**3 + 569*u**2 - 13 + 279.
2*(u - 1)**2*(u + 538)
Let f be 8/(-24) + (-16)/(-12) + -1. Let i(s) be the second derivative of f*s**2 - 1/10*s**5 + 0 - 12*s - s**3 + 2/3*s**4. Solve i(t) = 0.
0, 1, 3
Let k(j) be the third derivative of -2*j**7/735 - 13*j**6/210 - 17*j**5/105 + 61*j**4/42 + 44*j**3/7 + 359*j**2 - 13*j. Let k(h) = 0. Calculate h.
-11, -3, -1, 2
Let q(d) be the second derivative of -7/15*d**4 - 4 + 1/25*d**5 + 28/15*d**3 - 16/5*d**2 + 2*d. Factor q(u).
4*(u - 4)*(u - 2)*(u - 1)/5
Let y(w) be the second derivative of -w**5/10 - w**4/6 + w**3/3 + w**2/2 + 7*w. Let s be y(-2). Determine k, given that 275 + 374 + s*k**2 - 70*k - 404 = 0.
7
Let x = 12 - 5. Suppose 3*m - 9 = 2*r, -34 = -4*r - 3*m - x. Factor 3*j - j**2 - r*j**2 - 12*j + 7*j**2.
3*j*(j - 3)
Let -1715124*m**4 + 2592 + 58616*m**2 + 1715286*m**4 + 6903*m**3 + 6939*m**3 + 24008*m = 0. What is m?
-81, -4, -2/9
Factor -321/2*m - 9/4*m**2 - 210.
-3*(m + 70)*(3*m + 4)/4
Suppose 1053*p = 1042*p + 187. Let z(n) be the first derivative of -1/6*n**6 + 2/3*n**3 - 3/2*n**2 + p - 2*n + 0*n**5 + n**4. Let z(w) = 0. Calculate w.
-1, 1, 2
Let x(c) be the first derivative of -c**5/15 + c**4/4 + 4*c**3/9 - 2*c**2 - 2319. Factor x(g).
-g*(g - 3)*(g - 2)*(g + 2)/3
Let o = 40831 + -121213/3. Let m = o + -426. Factor 2/3*t**3 - 2/3*t - m*t**2 + 2/3.
2*(t - 1)**2*(t + 1)/3
Suppose 52 = 4*w - 52 + 96. Let y(a) be the first derivative of 8*a - 2*a**w + 4/5*a**5 + 13 + a**4 - 4*a**3. Let y(p) = 0. What is p?
-2, -1, 1
Let m = 222562/47697 - -8/15899. Suppose m*z**2 - 8/3*z**3 - 4/3*z - 2/3 = 0. What is z?
-1/4, 1
Let v(f) be the first derivative of -f**6/2 + 42*f**5/5 - 51*f**4/2 + 8*f**3 + 105*f**2/2 - 66*f + 8454. Find h, given that v(h) = 0.
-1, 1, 2, 11
Let w = 8289 - 58022/7. Let i(g) be the third derivative of 0 - w*g**3 + 0*g + 4*g**2 + 1/70*g**5 - 2/21*g**4. Determine t, given that i(t) = 0.
-1/3, 3
Let s = 558 + -554. Suppose -2*r - 26*y = -28*y - s, 0 = 5*r + 3*y - 10. Determine h so that 11/2*h**r - 5/4*h**4 - 2 + 3*h - 3/4*h**3 = 0.
-2, -1, 2/5, 2
Let g be (11 - 4510/506) 