pose -23*b - 32*b + 21 + 199 = 0. Let n(z) be the second derivative of -8*z + 1/60*z**b + 0 + 0*z**2 + 7/30*z**3. Factor n(v).
v*(v + 7)/5
Let x(y) be the first derivative of -194 + 1/8*y**4 - 1/2*y**3 + 1/2*y**2 + 0*y. Solve x(a) = 0 for a.
0, 1, 2
Let p be (-170)/(-20) + (-2)/(-4). Suppose -4*x = -3*q - p*x - 1, -1 = -q - x. Factor -20*c**3 - 6*c - 120*c**2 - c**q + 93*c**2.
-3*c*(c + 1)*(7*c + 2)
Let d(u) be the second derivative of 0*u**2 + 55*u + 1/3*u**6 + 5/42*u**7 - 3/4*u**5 + 0 - 5/3*u**4 + 10/3*u**3. Determine h, given that d(h) = 0.
-2, 0, 1
Suppose -85 = -3*v + 5*q, v + 0*q = 5*q + 25. Suppose u**3 - 12*u**3 + 3*u**3 - u**3 + 4*u**3 + v*u + 5*u**2 = 0. Calculate u.
-2, 0, 3
Let k be 4/((31 - 13)*16/477). Solve -21/8*m**2 - 27/8*m**4 + 1/2*m**5 - 9/8*m + 0 + k*m**3 = 0 for m.
-1/4, 0, 1, 3
Let m(g) be the third derivative of -2*g**7/105 + 127*g**6/180 - 59*g**5/90 - 31*g**4/18 + g**2 + 2*g - 44. Suppose m(h) = 0. Calculate h.
-1/2, 0, 1, 62/3
Let d(z) be the third derivative of -13*z**5/30 - 47*z**4/4 + 22*z**3/3 + 625*z**2. What is n in d(n) = 0?
-11, 2/13
Let o(s) be the second derivative of 0 + 97*s - 1/4*s**5 - 78125/2*s**2 - 3125/2*s**3 - 125/4*s**4. Solve o(g) = 0.
-25
Let z(t) be the third derivative of t**5/20 + 159*t**4/8 - 80*t**3 - 109*t**2 + 13. Factor z(p).
3*(p - 1)*(p + 160)
Factor 40*h**2 - 6860*h + 588245/2.
5*(4*h - 343)**2/2
What is x in -246649 - 246994 - 5*x**3 - 715*x + 125*x**2 + 492798 = 0?
-1, 13
Let u(j) = 2*j**3 - 9*j**2 + 4*j + 4. Let t be u(4). Find c, given that 103*c**4 + 6*c**5 - 2*c**5 - 214*c**4 + 99*c**t - 4*c**2 + 12*c**3 = 0.
0, 1
Let b(s) be the third derivative of s**7/210 + 79*s**6/60 + 467*s**5/60 + 155*s**4/12 - 2910*s**2. Factor b(n).
n*(n + 1)*(n + 2)*(n + 155)
Factor 8*h**2 - 44*h**3 - 44*h**3 - 36*h - h**4 + 75*h**3 - 8*h**2 - 48*h**2.
-h*(h + 1)*(h + 6)**2
Let v(t) be the second derivative of -t**7/10080 - t**6/960 + 2*t**4 + 38*t. Let w(m) be the third derivative of v(m). Factor w(r).
-r*(r + 3)/4
Let d(u) be the first derivative of u**3 + 246*u**2 + 489*u - 310. Find s, given that d(s) = 0.
-163, -1
Let s(v) be the third derivative of -605*v**5/21 + 55*v**4/42 - v**3/42 + 41*v**2. Factor s(n).
-(110*n - 1)**2/7
Let n(k) be the first derivative of 0*k + 45/2*k**3 - 33/16*k**4 - 44 - 6*k**2. Factor n(u).
-3*u*(u - 8)*(11*u - 2)/4
Let r(k) be the second derivative of k**8/2240 - 4*k**7/35 + 64*k**6/5 - 4096*k**5/5 + 11*k**4/12 + 84*k. Let q(n) be the third derivative of r(n). Factor q(v).
3*(v - 32)**3
Suppose 143/2*t + 1/2*t**3 - 1/2*t**4 + 45 + 55/2*t**2 = 0. What is t?
-5, -2, -1, 9
Let b(m) = -6*m**2 + 12*m + 8. Suppose 11*l - 1 = 76 + 11. Let s(x) = -2*x**2 - 3 - 4*x + 5*x**2 - x**2. Let v(a) = l*s(a) + 3*b(a). Find u such that v(u) = 0.
0, 2
Let z be 240/(-36 - -24) + 23528/10. Factor 432/5*l - 4/5*l**2 - z.
-4*(l - 54)**2/5
Suppose 21*l - 153 + 489 = 0. Let j be l/(-40)*50/80. Factor 9 - j*k**3 - 12*k + 13/4*k**2.
-(k - 6)**2*(k - 1)/4
Let q(c) be the second derivative of 0*c**2 + 2 + 3/28*c**5 - 2/21*c**3 + 5/21*c**6 + 175*c - 1/7*c**4. Factor q(s).
s*(2*s - 1)*(5*s + 2)**2/7
Let x(w) = -w**4 + w. Suppose -2*b - 35 = -43. Let a(n) = -b*n - 7*n**4 - n**4 + n**5 + 7*n. Let t(l) = a(l) - 3*x(l). Factor t(c).
c**4*(c - 5)
Let a(n) be the third derivative of -n**5/12 + 275*n**4/6 + 370*n**3 + n**2 + 4629*n. Factor a(k).
-5*(k - 222)*(k + 2)
Let l(c) be the first derivative of c**8/3360 - c**7/420 + c**6/144 - c**5/120 + 52*c**3/3 + 12. Let v(z) be the third derivative of l(z). Factor v(f).
f*(f - 2)*(f - 1)**2/2
Let l = -2198/45 + 232/5. Let j = -101/45 - l. Solve -1/5*y + j - 2/5*y**2 = 0 for y.
-1, 1/2
Let l(x) be the third derivative of -x**6/24 - 9*x**5/2 + 575*x**4/24 + 140*x**3 + 35*x**2 - 17*x. Factor l(h).
-5*(h - 3)*(h + 1)*(h + 56)
Let r(q) be the first derivative of -12*q + 43 - 13/2*q**2 - 1/3*q**3. Let r(d) = 0. What is d?
-12, -1
Suppose 717*r + 20 = 722*r. Factor 810*i**5 + 3*i + 2*i**4 + 12*i**3 + r*i**4 + 10*i**2 - 809*i**5.
i*(i + 1)**3*(i + 3)
Suppose -359*h = -348*h - 6215. Let m = h - 559. Factor 0*b - 3/4*b**5 - m*b**2 + 0 - 9*b**3 - 9/2*b**4.
-3*b**2*(b + 2)**3/4
Suppose 7*a - 1704 - 396 = 0. Determine p so that -151*p - a - 89*p + 57*p**2 - 3*p**3 + 0*p**3 = 0.
-1, 10
Solve 1461*f**2 - 2640*f**2 - f**3 - f**3 + 0*f**3 + 1311*f**2 = 0 for f.
0, 66
Let y(r) = 729*r - 8. Let p be y(2). Let n = p + -1448. Factor -9/2*s - 81/4 - 1/4*s**n.
-(s + 9)**2/4
Let d(h) = 3*h**2 - 86*h - 16. Let z be d(29). Factor -360*p + 86*p**2 - p**3 - 20*p**2 - 16*p**2 - z*p**2 + 324.
-(p - 18)**2*(p - 1)
Let f(p) be the first derivative of 156 + 116/3*p**3 + 4/5*p**5 + 48*p + 10*p**4 + 64*p**2. Factor f(l).
4*(l + 1)**2*(l + 2)*(l + 6)
Let u(q) be the second derivative of -2*q**6/75 + 24*q**5/25 + 5*q**4/3 + 2683*q. Factor u(x).
-4*x**2*(x - 25)*(x + 1)/5
Let p(v) = -v + 10. Let h be p(8). Let x(j) = -8792*j - 254962. Let c be x(-29). Factor -c*l - 9/2 - 3/2*l**h.
-3*(l + 1)*(l + 3)/2
Let v = 2 + 0. Let m(q) = 2*q**3 - 68*q**2 - 74*q + 143. Let h be m(35). Factor -1 - 424*p**3 + 2*p**v - 2*p**4 + 422*p**h + 2*p**5 + 1.
2*p**2*(p - 1)**2*(p + 1)
Let s(b) be the second derivative of -b**4/4 - 130*b**3 - 1536*b**2 + 234*b. Suppose s(c) = 0. Calculate c.
-256, -4
Suppose 0 = -v - 5*i + 3*i, -2*i = 3*v - 16. Factor -v + 22 - 8 - 27*c**3 - 15*c - 48*c**2.
-3*(c + 1)**2*(9*c - 2)
Let i(m) be the second derivative of -m**4/32 - 83*m**3/8 - 1467*m**2/16 + 3479*m. Solve i(o) = 0.
-163, -3
Solve 22/9*q**2 - 20/9 - 2*q**3 - 2/9*q**4 + 2*q = 0 for q.
-10, -1, 1
Suppose 0*p**2 + 8*p**4 - 22/3*p**3 + 0 - 2/3*p**5 + 0*p = 0. What is p?
0, 1, 11
Let j(q) = -23*q - 67. Let b be j(21). Let p be 2 + 3 + (b/15)/10. Solve -10/9 - p*l - 2/9*l**2 = 0.
-5, -1
Let x(w) = -w**3 - 4*w**2 - 6*w - 9. Suppose -35*f - 48 = -19*f. Let g be x(f). Factor 0 + 2/7*i**2 + 3/7*i**3 + g*i + 1/7*i**4.
i**2*(i + 1)*(i + 2)/7
Let k be ((-69)/(-2) - -5) + 1/2. Let r be 4/k + (-551)/(-190). Factor 1 - 1/5*i**r - i**2 + 1/5*i.
-(i - 1)*(i + 1)*(i + 5)/5
Factor -1620/7 - 4/7*h**3 + 36/7*h + 52/7*h**2.
-4*(h - 9)**2*(h + 5)/7
Let i(c) = -15*c**2 + 5364*c - 1182744. Let u(b) = -8*b**2 + 2684*b - 591368. Let x(a) = -5*i(a) + 9*u(a). Suppose x(m) = 0. What is m?
444
Let y(k) be the first derivative of -18 + 20/3*k**3 + 0*k**4 - 1/72*k**6 + 0*k**2 + 0*k - 1/6*k**5. Let f(h) be the third derivative of y(h). Factor f(c).
-5*c*(c + 4)
Let f(r) be the second derivative of -11/21*r**3 + 93*r + 0*r**2 - 2/7*r**4 - 1/70*r**5 + 0. Suppose f(n) = 0. What is n?
-11, -1, 0
Let i = 22 + -4. Suppose -z + x = -5, 4*z = 3*z - 5*x + 11. Let -3*v - i*v - 3*v**3 + 9*v**2 + 2*v**3 + 27 - z*v = 0. Calculate v.
3
What is r in -3466*r**2 - 2684*r + 3468*r**2 + 840761 - 1404*r + 1248207 = 0?
1022
Let h(w) be the third derivative of 2*w**2 + 0*w + 1/240*w**5 + 0 - 3/32*w**4 + 0*w**3. What is p in h(p) = 0?
0, 9
Let b = 372106/11 + -1488281/44. Factor 31/2*a**3 + 0 + 1/4*a**5 - 32*a**2 + 24*a - b*a**4.
a*(a - 4)**2*(a - 3)*(a - 2)/4
Let g(n) = -4*n**3 - 6*n**2 + 4*n + 3. Let v be g(-3). Let y = 48 - v. Determine p, given that 4*p - 18*p**y - 9*p + 3*p**3 + p**4 - 6*p**4 - 15*p**2 = 0.
-1, 0
Let l(k) = 69*k + 624. Let g be l(-9). Let m(n) be the first derivative of -1/10*n**4 + 0*n + 20 + 4/15*n**g - 1/5*n**2. Solve m(x) = 0 for x.
0, 1
Suppose 3*f + 3*b - 33 = 0, 5*f + 4*b - 27 = 6*b. Suppose 2*k - f*k = -20. Solve 33 + 28*i**2 + k*i**3 + 3 - 20*i + 80*i = 0.
-3, -1
Factor 281 + 7*v - 281 + 17*v - 5*v**3 + 6*v + 25*v**2.
-5*v*(v - 6)*(v + 1)
Let a(n) = -n**3 + 12*n**2 - 5*n - 24. Let v be a(11). Let z be ((-36)/v)/(2/(-7)). Factor -5/4*d**2 - 1/4*d + 1/4 + 1/4*d**z + 2*d**4 + d**5.
(d + 1)**3*(2*d - 1)**2/4
Let x be 0/(26/((-234)/(-135))*1 - 17). Factor 0 - 1/5*q**5 + x*q - 192/5*q**3 + 512/5*q**2 + 24/5*q**4.
-q**2*(q - 8)**3/5
Let u be 352/56 + (-12)/42. Solve -185*k + 7*k**2 + k**2 - u*k**2 - 7*k**2 = 0 for k.
-37, 0
Let z be -1 - (7/49)/(11/(-77)). Let h(k) be the second derivative of -9/20*k**5 + z*k**2 + 1/5*k**6 + k + 0 + 1/14*k**7 + 0*k**4 + 0*k**3. Factor h(w).
3*w**3*(w - 1)*(w + 3)
Suppose a + 4*n = 226, 9214*n - 1084 = -4*a + 9216*n. Factor -a*g - 26*g**2 - 722/3 - 2/3*g**3.
-2*(g + 1)*(g + 19)**2/3
Let c(q) be the first derivative of -6/11*q**