9*y**3/2 - y**2 + 50. Let x(c) be the first derivative of t(c). Solve x(m) = 0.
24
Let k(p) be the first derivative of p**4/4 - 19*p**2/2 - 30*p - 1755. Solve k(s) = 0.
-3, -2, 5
Let q(l) be the first derivative of -l**2/2 + 15*l - 13. Let d be q(11). Solve -27*w**d + 4*w - 78*w**3 - 27*w**2 + 12*w**5 - w + 0*w + 9*w = 0.
-1, 0, 1/4, 4
Let g(n) be the third derivative of 0*n + 1/168*n**7 + 53*n**2 - 5/6*n**3 - 5/24*n**4 + 0 + 1/24*n**6 + 1/16*n**5. Factor g(b).
5*(b - 1)*(b + 1)*(b + 2)**2/4
Let o = 2929/3 - 1951/2. Let p(f) be the second derivative of o*f**3 + 1/6*f**6 + 5/4*f**4 + 3/4*f**5 + 18*f + 0*f**2 + 0. Factor p(x).
5*x*(x + 1)**3
Let g(j) be the first derivative of 4*j**3/3 - 18*j**2 + 56*j + 4581. Suppose g(o) = 0. Calculate o.
2, 7
Let i(d) = -d**2 + 26*d - 2. Let v(f) = f**2 + 2*f + 1. Let h(t) = 2*i(t) - 18*v(t). Let j(l) = 7*l**2 - 5*l + 7. Let n(y) = -5*h(y) - 14*j(y). Factor n(r).
2*(r - 3)*(r - 2)
Let u be 2*6*(-11)/(-22). Let d be (u/8)/(24/160). Solve -21*z + 100*z**2 - 84*z**4 - 25*z**d + 61*z - z**4 - 44*z**3 + 14*z**3 = 0 for z.
-2, -2/5, 0, 1
Let n(i) be the third derivative of -i**6/40 + i**5/2 - 3*i**4/2 - 36*i**3 - 2285*i**2. Factor n(g).
-3*(g - 6)**2*(g + 2)
Let l be (63/(-36))/(2/8) - 266. Let a be (l/(-26))/(-8 - -11). Let 4*k + a*k**2 - 1/2*k**3 + 0 = 0. What is k?
-1, 0, 8
Let x(n) be the first derivative of 14/27*n**3 + 4/9*n**2 - 2/3*n + 45. Solve x(a) = 0 for a.
-1, 3/7
Let s(f) = 10 + 3 + f**2 + 9*f + 4. Let b be s(-7). Factor 9 + 5 + 2 - 38*z - 34*z - 14*z**b + 60*z**2.
-2*(z - 2)**2*(7*z - 2)
Factor -q**4 + 1350 - 189*q**2 + 21287*q + 29*q**3 - 21692*q + 0*q**4.
-(q - 15)**2*(q - 2)*(q + 3)
Let c(r) be the second derivative of 5*r**4/12 + 885*r**3/2 + 1325*r**2 - 2*r + 2054. Suppose c(s) = 0. Calculate s.
-530, -1
Let f = 812/5 + -162. Let g(h) be the second derivative of 0 - 8*h - 1/5*h**3 - 1/15*h**4 + f*h**2. Factor g(q).
-2*(q + 2)*(2*q - 1)/5
Let g = -1361 + 27221/20. Let o(r) be the third derivative of -1/2*r**3 + 1/4*r**4 + 11*r**2 - g*r**5 + 0 + 0*r. Let o(v) = 0. Calculate v.
1
Let n be ((-67)/(-5) - 6) + (-17 + 17 - 7). Factor -n*o**3 + 2/5*o - 2/5*o**2 + 2/5.
-2*(o - 1)*(o + 1)**2/5
Let k be (2 - 2)/(-2 - (-20)/5). Suppose -4*v + 24 = -k. Factor 9*q**2 + v*q - 6*q**3 + 8*q - 8*q - 3*q**4 + 6*q - 12.
-3*(q - 1)**2*(q + 2)**2
Let n = -849826/9 - -94426. Factor -8/9*o - 2/9*o**2 + 2/9*o**3 + n.
2*(o - 2)*(o - 1)*(o + 2)/9
Let t = 1037579/1252335 - -2/35781. Let j = t - 3/7. Factor j*i - 6/5*i**2 + 2/5*i**4 + 4/5 - 2/5*i**3.
2*(i - 2)*(i - 1)*(i + 1)**2/5
Let u be (-1260)/224*4/(-6) - 2/(-8). Let t(b) be the third derivative of 0 - 1/300*b**5 + 0*b + 0*b**3 + 3/40*b**u + 28*b**2. Let t(z) = 0. Calculate z.
0, 9
Let u(g) = 7*g + 46. Let h be u(-6). Determine v so that 5 - h*v**3 - 6 - 36*v**2 - 16 - 44*v + 4*v**4 + 1 = 0.
-1, 4
Let h be ((39676/104)/109)/(70/8). Factor 0 + 6/5*z**3 + h*z**5 + 0*z - 18/5*z**2 + 2*z**4.
2*z**2*(z - 1)*(z + 3)**2/5
Suppose -2*u = -i + 32, -24*u + 22*u - 28 = i. What is c in 25/2 + 9/2*c**i + 15*c = 0?
-5/3
Factor 548*z**4 + 3629*z**3 - 12434*z**3 - 5003*z**2 - 118*z**4 - 13917*z**2 - 5*z**5 - 9680*z.
-5*z*(z - 44)**2*(z + 1)**2
Let u(y) be the second derivative of 0 + 206*y - 2/5*y**6 + 11/2*y**3 - 11*y**4 + 93/20*y**5 + 9*y**2. Find j such that u(j) = 0.
-1/4, 1, 6
Let f(w) be the first derivative of 23/9*w**2 - 2/27*w**3 - 34 + 16/3*w. Factor f(o).
-2*(o - 24)*(o + 1)/9
Let v = -230901 - -230903. Suppose -10/3 + 5/3*o**v + 5/3*o = 0. What is o?
-2, 1
Suppose 2/17*t**3 - 626/17*t - 150/17*t**2 - 474/17 = 0. Calculate t.
-3, -1, 79
Let y be -1 - -13 - (22 + -16). Determine s so that -16 - 5 + 8 - 35*s**2 + 75*s - y*s**3 + 11*s**3 - 32 = 0.
1, 3
Let t be (1/3)/(530/(-60) - -9). Factor 4*i + 20*i**4 + 2 - 13*i**2 - 36*i**3 - 2 + 25*i**t.
4*i*(i - 1)**2*(5*i + 1)
Factor 40/3*g**2 - 2/9*g**3 + 0*g + 0.
-2*g**2*(g - 60)/9
Factor -1336/3 - 1334/3*v + 2/3*v**2.
2*(v - 668)*(v + 1)/3
Suppose 113/7*n**3 + 331/7*n - 1/7*n**4 - 110/7 - 333/7*n**2 = 0. What is n?
1, 110
Let n(v) be the third derivative of -v**5/30 + 43*v**4/60 - 8*v**3/5 + v**2 - 339*v. What is o in n(o) = 0?
3/5, 8
Suppose 5*z - 3 = -3*i, -z - 4*z + 3*i = -27. Factor -7*o - 2*o**2 + 6*o**2 + 29*o**3 + o**2 - 30*o**z + 3.
-(o - 3)*(o - 1)**2
Suppose 6*r - 2802 - 114 = 0. Suppose -u = -r + 482. Factor -16/5 - 4/5*h**2 - u*h.
-4*(h + 1)*(h + 4)/5
Factor -27982 - 1139*n + 13996 + 13986 - 4279*n + 3*n**2.
3*n*(n - 1806)
Let p(c) be the third derivative of c**6/15 - 881*c**5/30 - 166*c**4/3 + 221*c**3/3 + 1398*c**2 + 3. Factor p(s).
2*(s - 221)*(s + 1)*(4*s - 1)
Let f be (-5)/(-10)*(14 - -2). Suppose 3*j + 15 = f*j. Suppose -143 - j*g**3 + 74 + 69 - 48*g + 24*g**2 = 0. Calculate g.
0, 4
Suppose 2*t + 5*t = -14. Let u be (t + 1 + -2)/(69/(-46)). Let 36*q**2 + 48*q - 17*q**2 - 16*q**u + 8 - 12*q**3 - 20 = 0. What is q?
-2, 1/4, 2
Let k(v) be the second derivative of -v**6/72 + 4*v**5/3 - 160*v**4/3 + 31*v**3/6 - v + 36. Let p(h) be the second derivative of k(h). Factor p(s).
-5*(s - 16)**2
Let w(z) be the second derivative of -5*z**7/42 + 193*z**6/2 - 41469*z**5/2 - 630745*z**4/6 - 422435*z**3/2 - 423405*z**2/2 - 25*z + 18. Factor w(s).
-5*(s - 291)**2*(s + 1)**3
Let i = 9006 + -9006. Let j(r) be the second derivative of i + 0*r**5 + 1/105*r**6 - 2/21*r**3 + 0*r**2 - 1/14*r**4 - 6*r. Solve j(v) = 0 for v.
-1, 0, 2
Factor -1148 - 447*d**2 + 127*d + 507 - 835 + 450*d**2 + 230*d.
3*(d - 4)*(d + 123)
Let u be 25/(200/(-56))*9/21*(-4)/30. Solve 248/5*s - u*s**2 - 7688/5 = 0 for s.
62
Factor -51840*v - 58*v**3 - 21*v**4 + 20*v**4 - 38*v**3 - 1014*v**2 - 291600 - 2370*v**2.
-(v + 18)**2*(v + 30)**2
Factor -6*a**2 - 1/3*a**3 + 121/3*a + 46.
-(a - 6)*(a + 1)*(a + 23)/3
Let w(r) be the second derivative of -648/5*r**2 - 5 - 3*r - 24/5*r**3 - 1/15*r**4. Determine v so that w(v) = 0.
-18
Let y(t) = 2*t**3 - 117*t**2 - 4329*t - 54872. Let l(a) = -3*a**3 + 118*a**2 + 4328*a + 54872. Let g(k) = 3*l(k) + 4*y(k). Factor g(x).
-(x + 38)**3
Let w(n) be the third derivative of n**5/60 + 115*n**4/12 - 2*n**2 - 534. Let w(r) = 0. Calculate r.
-230, 0
Let d = 546496 + -546494. Let -82/13*i**d - 12/13 - 250/13*i = 0. Calculate i.
-3, -2/41
Let k(g) = -56*g**2 + 1798*g - 1802. Let h(m) = 17*m**2 - 600*m + 601. Let d(o) = -10*h(o) - 3*k(o). Factor d(z).
-2*(z - 302)*(z - 1)
Suppose 10*m - 8601 = 6759. Suppose -m*g + 1533*g = 0. Find x such that -4/3*x**2 + 0 + g*x = 0.
0
Determine z so that z**5 - z**2 - 7*z**3 + 10/3*z + 11/3*z**4 + 0 = 0.
-5, -2/3, 0, 1
Suppose -14*n + 2*f + 142 = -9*n, 4*n = 4*f + 116. Let r be (4 - n/7) + 2. Factor 48/5*a - 144/5 - 4/5*a**r.
-4*(a - 6)**2/5
Let t(o) be the second derivative of 0*o**3 + 0*o**2 - 1/14*o**7 + 0 + 9/25*o**5 - 1/5*o**4 - 3/50*o**6 + 76*o. Find n such that t(n) = 0.
-2, 0, 2/5, 1
Let j(i) be the second derivative of -2 - i + 47/6*i**3 + 9*i**2 + 5/12*i**4. Let j(f) = 0. What is f?
-9, -2/5
Let b = -5951 - -5956. Let u(i) be the second derivative of 3*i - 3/20*i**b + 0*i**2 - 3/4*i**4 - i**3 + 0. Solve u(h) = 0 for h.
-2, -1, 0
Let p(h) be the first derivative of -16*h**3 - 17*h + 7/2*h**4 + 25*h**2 + 1/5*h**5 - 120. Let p(g) = 0. What is g?
-17, 1
Let a(b) = 19*b**2 + 1330*b + 147852. Let g(z) = -198*z**2 - 13299*z - 1478520. Let n(d) = -21*a(d) - 2*g(d). Solve n(c) = 0 for c.
-222
Factor 262 + 130*o - 1/2*o**2.
-(o - 262)*(o + 2)/2
Let a be (-3)/((-9 - -8) + -1). Let x(s) = s**2 - s + 2. Let t be x(1). Factor a*f + 3/4*f**t + 3/4.
3*(f + 1)**2/4
Let j(p) be the first derivative of 6*p**3 + 1/15*p**5 + 0*p + p**4 - 1/2*p**2 - 10. Let i(d) be the second derivative of j(d). Determine b so that i(b) = 0.
-3
Let r be 1/6 - (85/18)/((-3800)/2280). Let 0*l + 5/4*l**2 + 7/8*l**r + 1/8*l**4 + 0 = 0. Calculate l.
-5, -2, 0
Let o(q) = q**2 + 19*q - 216. Let k be o(-27). Let l(h) be the third derivative of 0*h**3 + k*h + 0 - 1/180*h**5 - 1/36*h**4 - 14*h**2. Factor l(f).
-f*(f + 2)/3
Let b(x) be the first derivative of -5*x**6/6 + 9*x**5 + 45*x**4 + 20*x**3/3 - 120*x**2 - 859. Solve b(p) = 0 for p.
-2, 0, 1, 12
Let m(v) be the third derivative of -v**7/1575 - 209*v**6/225 - 43681*v**5/75 - 9129329*v**4/45 - 1908029761*v**3/45 - 1329*v**2. Solve m(c) = 0.
-209
Factor -639/7*i**2 + 3/7*i**3 + 360*i - 2508/