et d(l) be the third derivative of n(l). Factor d(q).
2*q*(q - 23)/5
Suppose -1 = 2*c - 9. Suppose 4*s - 11 + 7 = c*f, -2*f - s = -7. Factor -3*t**2 + 9/2*t**3 + 1/2*t - f*t**4 + 0.
-t*(t - 1)**2*(4*t - 1)/2
Let l(w) be the first derivative of w**4/20 + 343*w**3/15 + 171*w**2/5 - 603. Factor l(v).
v*(v + 1)*(v + 342)/5
Let k(o) = 4*o**3 + 2*o**2 + 28*o - 23. Let a(c) = c**2 + 7*c**3 + 37*c - 6 - 8*c**3 + 2*c**3 - 30*c. Let j(g) = -22*a(g) + 6*k(g). Factor j(q).
2*(q - 3)*(q - 1)**2
Let j(c) be the first derivative of -60835*c**4/4 + 58190*c**3 - 83490*c**2 + 53240*c - 4428. Factor j(p).
-5*(23*p - 22)**3
Let r(q) be the second derivative of q**5/130 + 19*q**4/78 + 44*q**3/39 - 64*q**2/13 - 4*q - 331. Find z, given that r(z) = 0.
-16, -4, 1
Let o(i) be the first derivative of 4*i**3/3 - 5232*i**2 + 6843456*i + 5130. Suppose o(y) = 0. What is y?
1308
Let n(k) be the second derivative of k**5/60 - 7*k**4/36 + 2*k**3/9 + 2*k**2 + 248*k. Factor n(w).
(w - 6)*(w - 2)*(w + 1)/3
Let v = -93/1217 + 8891/4868. Factor 3/2 - v*n + 1/4*n**2.
(n - 6)*(n - 1)/4
Factor -3528/5 + 2*i**2 + 8816/5*i.
2*(i + 882)*(5*i - 2)/5
Factor -10*p**4 + 1045*p**3 - 6795 + 525*p**2 + 6795.
-5*p**2*(p - 105)*(2*p + 1)
Let x(b) be the second derivative of -b**6/40 + 27*b**5/16 + 47*b**4/16 - 45*b**3/8 - 69*b**2/4 - 2260*b. Determine g, given that x(g) = 0.
-1, 1, 46
Let p = -511/3 + 206435/1212. Let g = p - -4869/2828. Factor 2/7*l**2 + 18/7 - g*l.
2*(l - 3)**2/7
Factor -5*u**2 + 1039*u + 2161*u + 1470*u - 1090445.
-5*(u - 467)**2
Let l = -60887 + 60889. Suppose 14/5*a**3 - 16*a - 24/5 + 18/5*a**l = 0. Calculate a.
-3, -2/7, 2
Let f(y) = -2*y**2 + 27*y - 3. Let b(j) = -6*j + j**2 - 12*j + 17*j + 3 + 0*j**2. Let p(s) = 3*b(s) + 3*f(s). Let p(g) = 0. Calculate g.
0, 26
Let y be (2255/110 + (-1 - 19))*(-1)/(-2). Let -1/2*z**4 - y*z**5 + 0*z**3 + 1/2*z**2 + 0 + 1/4*z = 0. Calculate z.
-1, 0, 1
Let g be 2/7 - ((-87000)/(-945) + -92). Factor 16/9 - 2*z + g*z**2.
2*(z - 8)*(z - 1)/9
Let z(l) be the first derivative of 49*l**4 - 8456*l**3 - 7272*l**2 - 2080*l - 5082. Suppose z(n) = 0. Calculate n.
-2/7, 130
Let g = 330123 - 330123. Factor g - 1/4*b**5 - 1/4*b**4 + 5/4*b**2 + 1/2*b + 3/4*b**3.
-b*(b - 2)*(b + 1)**3/4
Suppose 502*k = 497*k - 4*a + 4, -2*a = -2. Factor k + 3/5*n**5 + 0*n**2 + 3/5*n**3 - 6/5*n**4 + 0*n.
3*n**3*(n - 1)**2/5
Let -3/7*c**5 - 72/7 + 45/7*c**3 - 30/7*c**2 + 12/7*c**4 - 132/7*c = 0. Calculate c.
-2, -1, 2, 6
Let v(u) be the third derivative of -1/9*u**6 - 8*u**2 + 0*u - 11/90*u**5 - 2 - 1/105*u**7 + 0*u**3 + 1/6*u**4. Determine q, given that v(q) = 0.
-6, -1, 0, 1/3
Let w(x) be the third derivative of -x**7/420 + 13*x**6/120 - 5*x**5/3 + 16*x**4/3 + 128*x**3 - 2*x**2 + 306*x. Factor w(n).
-(n - 12)*(n - 8)**2*(n + 2)/2
Factor -48*g - 339/7 + 3/7*g**2.
3*(g - 113)*(g + 1)/7
Suppose 0 + 11/3*o + 23/3*o**2 + 1/3*o**4 + 13/3*o**3 = 0. Calculate o.
-11, -1, 0
Let z(b) be the first derivative of 15*b**2 + 27/5*b**5 + 0*b - 33/4*b**4 - 66 + 1/2*b**6 - 9*b**3. Let z(p) = 0. Calculate p.
-10, -1, 0, 1
Let q(m) be the first derivative of m**3 + 51*m**2/2 + 126*m + 11615. Suppose q(d) = 0. Calculate d.
-14, -3
Determine z, given that 2/13*z**3 - 152/13*z**2 + 430/13*z + 584/13 = 0.
-1, 4, 73
Suppose 4/13*l**4 - 8/13*l + 8/13 - 18/13*l**2 + 2/13*l**3 = 0. What is l?
-2, -1, 1/2, 2
Let j(z) be the first derivative of -60 - 16/25*z**5 + 2/15*z**6 + 0*z + 16/5*z**2 + 8/3*z**3 - 3/5*z**4. Let j(t) = 0. Calculate t.
-1, 0, 2, 4
Let k = 8981552/10478461 + -2/1496923. Suppose -22/7*y**3 + 2/7*y**5 - 54/7*y**2 + 48/7 + 20/7*y + k*y**4 = 0. Calculate y.
-4, -2, -1, 1, 3
Let p(y) be the third derivative of 0 + 2*y**3 + 3/2*y**4 + 13/20*y**5 + 16*y**2 + 3/20*y**6 - y + 1/70*y**7. Factor p(i).
3*(i + 1)**2*(i + 2)**2
Suppose 0 = -159*c + 1236 - 759. Find m such that c*m - 12/5 - 3/5*m**2 = 0.
1, 4
Let b = 25 - 25. Suppose b = 4*m - x - 6, -7 = -5*m - 0*x + x. Determine k, given that -5*k**3 - 3 + 5*k**2 - 3 + m + 5*k = 0.
-1, 1
Let 0 - 14/3*n**3 + 0*n + 76/9*n**2 + 2/9*n**4 = 0. What is n?
0, 2, 19
Let z(g) be the first derivative of 22/21*g**3 + 2/7*g**4 + 9/7*g + 12/7*g**2 + 1/35*g**5 + 14. Factor z(r).
(r + 1)**2*(r + 3)**2/7
Suppose 5*k - k - 8 = 0. Determine p so that 9 - 9 + p + 2*p - p - p**k = 0.
0, 2
Let g be (-20)/((-6020)/1161) + (-3 - (-3 - -3)). Factor 6/7 + 3*b**2 + 3*b + g*b**3.
3*(b + 1)*(b + 2)*(2*b + 1)/7
Determine a, given that -58/3*a**2 + 124/3*a - 7/3*a**3 + 40/3 = 0.
-10, -2/7, 2
Let q(t) be the third derivative of -t**8/30240 - t**7/2520 - t**6/540 + 7*t**5/4 + 13*t**2. Let f(c) be the third derivative of q(c). Solve f(m) = 0 for m.
-2, -1
Let q(b) be the second derivative of 125*b**4/12 - 3200*b**3/3 + 40960*b**2 - 141*b - 4. Factor q(n).
5*(5*n - 128)**2
Let p(f) be the third derivative of 3*f**2 - 1/420*f**8 - f - 3/50*f**5 - 3/175*f**7 + 0*f**3 + 0 - 1/30*f**4 - 7/150*f**6. Let p(g) = 0. Calculate g.
-2, -1, -1/2, 0
Let n(g) be the third derivative of 24*g**7/35 - 5*g**6/4 - 413*g**5/15 - 229*g**4/3 - 280*g**3/3 + 25*g**2 + 12*g. Suppose n(k) = 0. What is k?
-2, -2/3, 35/8
Let m be 232/176 + 3/(-2)*25/((-2475)/12). Let l be 18/8 - (-1)/(-4). Suppose l*j - m - 1/2*j**2 = 0. What is j?
1, 3
Let d be (7*28/(-49) - -2)*(-4)/24. Suppose 0 - 38/3*m**2 - d*m**4 + 5*m**3 + 8*m = 0. What is m?
0, 1, 2, 12
Let n = 347/2688 - 15/128. Let y(b) be the second derivative of -3/14*b**2 - 1/21*b**3 + n*b**4 - 7*b + 0. Find m such that y(m) = 0.
-1, 3
Let x(o) be the first derivative of 1/15*o**5 + 6*o**2 - 231 - 3*o**4 + 323/9*o**3 - 108*o. Find v, given that x(v) = 0.
-1, 1, 18
Let m(b) = 2*b**2 + b - 77. Let d be m(6). Let l(g) = g**2 - 5*g + 2. Let z(y) = 2. Let r(n) = d*z(n) - l(n). Factor r(j).
-j*(j - 5)
Let l(r) be the first derivative of r**4/8 + 19*r**3/6 + 47*r**2/2 + 60*r + 4469. Factor l(f).
(f + 2)*(f + 5)*(f + 12)/2
Let g = 2491/22 + -2483/22. Let 12/11 - g*m**3 - 14/11*m - 18/11*m**2 = 0. Calculate m.
-3, -2, 1/2
Let q be (-16)/40 - 86/(-90). Let u be (1750/(-3675))/(3/42) + 8 + 0. Let q*p**2 + u*p + 4/9 = 0. What is p?
-2, -2/5
Let r = -29 - -40. Let l(g) = g**3 - 11*g**2 + 2. Let a be l(r). Determine p so that -57*p - 24*p**a - 21 + 15*p**3 - 4 + 7 = 0.
-1, -2/5, 3
Let o(h) be the third derivative of -h**7/945 - h**6/270 + 2*h**5/45 + 10*h**4/27 + 32*h**3/27 - h**2 - 10. Factor o(y).
-2*(y - 4)*(y + 2)**3/9
Let x(s) = -25*s**5 + 820*s**4 - 825*s**3 - 15*s**2 + 15. Let r(b) = 2*b**5 + b**2 - 1. Let h(y) = -15*r(y) - x(y). Factor h(m).
-5*m**3*(m - 1)*(m + 165)
Suppose 27 = 3*o - 2*k + 6*k, -3*o = k - 18. Suppose -x = -o, 47*w - 5*x = 51*w - 25. Determine t so that -2/5*t + 4/5*t**2 + w - 2/5*t**3 = 0.
0, 1
Suppose -603*v + 128 = -595*v. Let f be (0/(v/(-4)))/(3*-1). Find j, given that f*j**2 + 0*j + 0 - j**3 + 5/2*j**4 = 0.
0, 2/5
Suppose 7*z = 5*i - 6 - 9, 3*i + 2*z - 40 = 0. Suppose -201*k - i = -206*k. Factor -36/5*f**k - 12*f - 4/5*f**3 + 20.
-4*(f - 1)*(f + 5)**2/5
Find i such that -33*i**4 - 27*i**4 + 1100*i - 5*i**4 + 140 + 144*i**2 + 246*i**2 + 250*i**3 + 885*i**2 = 0.
-2, -1, -2/13, 7
Let s(n) = 16*n**4 - 156*n**3 - 204*n**2 - 44*n + 3. Let o(b) = 4*b**4 + b**3 - b + 1. Let c(h) = -15*o(h) + 5*s(h). Find j, given that c(j) = 0.
-1, -1/4, 0, 41
Let w = 939/134 - -10581/670. Find p, given that -1083/5 - w*p - 3/5*p**2 = 0.
-19
Let y = -250 + 821. Factor 2 + 574*z**2 - 2 - 3*z - y*z**2.
3*z*(z - 1)
Let u(v) = 1 - 12*v**4 - 5*v**2 + 13*v**4 + 6*v**2 - v + v**5. Let x(z) = -z**5 + z**4 + 2*z**3 - 4*z**2 - z - 3. Let k(w) = -6*u(w) - 3*x(w). Factor k(n).
-3*(n - 1)*(n + 1)**4
Factor 0*y + 11856/5*y**3 + 2/5*y**5 + 12168/5*y**2 + 0 - 62*y**4.
2*y**2*(y - 78)**2*(y + 1)/5
Let j be (-17)/(-8) - (4/32 - 0). Determine r, given that 4 + 283*r**2 + 337*r**j - 42*r**2 + 52*r - 2 + 16*r = 0.
-1/17
Let a be 24050/16380 - 12/(-378). Factor -9/2*w**2 + a - 3*w**3 + 0*w.
-3*(w + 1)**2*(2*w - 1)/2
Let 39 + 324*l - l**3 + 6*l**2 - 287*l - 9 = 0. What is l?
-3, -1, 10
Suppose -3218*j = -3204*j - 28. Let w(q) be the first derivative of 1/3*q**j - 10/9*q**3 + 4 + 0*q - 14/15*q**5 + 2/9*q**6 + 3/2*q**4. Factor w(r).
2*r*(r - 1)**3*(2*r - 1)/3
Let t = -2 + 10. Let d(y) = y**3 - 8*y**2 + 6*y + 12. Let z be d(7). Factor 3 - z*p - p - t + 2*p + p**2.
(p - 5)*(p + 1)
Let s 