**6/180 - 7*x**5/30 + 13*x**4/12 - 155*x**3/6 - 10*x + 2. Let m(r) be the second derivative of h(r). Factor m(c).
2*(c - 13)*(c - 1)
Let t(x) be the third derivative of -1/12*x**5 + 0*x**4 + 23*x - 1/120*x**6 + 0 - 5*x**2 + 0*x**3. Solve t(n) = 0 for n.
-5, 0
Let o(i) = -7*i**3 - 115*i**2 - 30*i + 117. Let z(p) = -3*p**3 - 52*p**2 - 15*p + 58. Let s(v) = 4*o(v) - 9*z(v). Find r such that s(r) = 0.
-3, 2, 9
Let h be (535214/(-5885) - -91)*(10 + 0). What is k in -2/11*k**3 + h*k - 36/11 + 8/11*k**2 = 0?
-2, 3
Suppose -33*x + 55*x = 572. Let b be (x/(-156))/(5/(-30)). Determine z so that 1/4*z**2 + b + 5/4*z = 0.
-4, -1
Let f(b) be the third derivative of 7*b**6/180 - 92*b**5/45 + 13*b**4/9 + 1747*b**2. Factor f(h).
2*h*(h - 26)*(7*h - 2)/3
Suppose -5 = -5*x, 0*b + 2*x + 151 = 3*b. Suppose -4*u = 23 - b. What is i in -2*i**2 - u*i**3 + 55*i**4 - 32*i**4 - 28*i**4 + 0*i**2 = 0?
-1, -2/5, 0
Let n(s) = 33*s**2 + 474*s + 1595. Let d be n(-9). Let p = -34/37 + 1946/185. Let -4*b**d + p*b - 16/5 = 0. What is b?
2/5, 2
Factor 171/2 + 24*o - 49*o**2 - 1/2*o**4 + 12*o**3.
-(o - 19)*(o - 3)**2*(o + 1)/2
Factor 390 + 1166/3*v**2 - 2/3*v**3 + 2338/3*v.
-2*(v - 585)*(v + 1)**2/3
Let q be (-24)/(-4) - (-96)/((-408)/17). Solve 2*m**3 - 1/3*m**5 + 0 + 0*m**4 + m - 8/3*m**q = 0.
-3, 0, 1
Let x(j) be the second derivative of -j**6/80 - 3*j**5/160 + j**4/8 + j**3/4 - j - 7. Factor x(r).
-3*r*(r - 2)*(r + 1)*(r + 2)/8
Let g = 5372 - 5370. Let k(c) be the third derivative of 14*c**g + 1/30*c**5 + 1/3*c**4 + 0 - 5/3*c**3 + 0*c. Factor k(f).
2*(f - 1)*(f + 5)
Let a be -16 - ((-969)/34 - -11). Factor -21 - a*q**3 + 81/2*q - 18*q**2.
-3*(q - 1)**2*(q + 14)/2
Let f(b) be the third derivative of -b**6/24 - b**5/12 + 40*b**4/3 + 160*b**3/3 - 10*b**2 - 39. Factor f(y).
-5*(y - 8)*(y + 1)*(y + 8)
Let v = 157240 - 157238. Factor 11/2*x**3 + 1/4*x**5 - v*x**4 - 1 + 17/4*x - 7*x**2.
(x - 4)*(x - 1)**4/4
Let k(i) be the first derivative of 0*i**2 + 3/4*i**5 + 10/3*i**3 - 7/120*i**6 - 18 + 0*i - i**4. Let o(u) be the third derivative of k(u). Factor o(p).
-3*(p - 4)*(7*p - 2)
Let s = 299 + -294. Suppose 0 = -6*q + 7*q + s*v - 25, -q + 4*v = 11. Factor 0*o + 0 + 0*o**2 + 2*o**3 + 2*o**4 + 1/2*o**q.
o**3*(o + 2)**2/2
Let 16*l**3 + 38*l - 760 + l**4 + 0*l**4 - 55*l**2 + 760 = 0. Calculate l.
-19, 0, 1, 2
Let h = 13861 - 13861. Let f(k) be the second derivative of 1/35*k**6 - 3/70*k**5 - 1/14*k**4 + h*k**2 + 0 + 1/49*k**7 - 10*k + 0*k**3. Factor f(y).
6*y**2*(y - 1)*(y + 1)**2/7
Suppose -52*q + 48*q + 4*m + 24 = 0, -4*m = 5*q - 21. Let i(g) be the second derivative of 0 - 5/4*g**4 + 4*g - 5/6*g**3 + 15/2*g**2 + 1/4*g**q. Factor i(u).
5*(u - 3)*(u - 1)*(u + 1)
Let f(n) be the second derivative of n**8/1680 - 13*n**6/360 - n**5/10 + n**3/3 + 53*n**2/2 + 14*n. Let m(a) be the second derivative of f(a). Factor m(d).
d*(d - 4)*(d + 1)*(d + 3)
Suppose -5*g = 5*v - 30 - 0, -v = 3*g - 6. Let f be (v/(-10))/((-741)/190). Suppose f - 2/13*l**4 + 4/13*l**3 + 0*l**2 - 4/13*l = 0. What is l?
-1, 1
What is t in 53/5*t + 1/5*t**2 + 52/5 = 0?
-52, -1
Determine k so that 3728*k**3 + 10*k**4 - 3612*k**3 + 1352 - 6*k**4 + 996*k**2 + 2236*k = 0.
-13, -2, -1
Let o(r) be the third derivative of -103*r**2 + 0*r + 0*r**4 + 1/12*r**5 + 0 - 40/3*r**3. Factor o(a).
5*(a - 4)*(a + 4)
Let t be ((-2)/(-6))/((-51)/(-306)). Solve -20*w**2 + 10*w**3 + 24*w**2 - 8*w**3 - t*w**4 = 0.
-1, 0, 2
Suppose 9 + 16 = 5*y - 3*o, 3*o = -4*y - 7. Suppose 2*q**3 - 22*q**y - 6*q + 2*q**5 + 16*q + q**2 + 34*q**3 - 16*q**4 - 11*q**2 = 0. What is q?
0, 1, 5
Let m = -597 + 600. Factor -108 - 78 + m*c**2 - 2*c - 50 - 34*c + 152.
3*(c - 14)*(c + 2)
Let p(y) be the second derivative of -2/9*y**3 - 2*y + 1/270*y**6 + 13/108*y**4 - 1/30*y**5 + 2/9*y**2 - 18. Find n such that p(n) = 0.
1, 2
Let r = -181 + 316. Let x = -131 + r. Factor -1125 - 150*b - 2*b**2 + x*b**2 - 5*b**2 - 2*b**2.
-5*(b + 15)**2
Let n(p) = 13*p - 78. Let c be n(7). Factor 2*o + 10*o**4 - o**5 + 1 + 3*o**2 - 1 - c*o**4 - o**3.
-o*(o - 1)*(o + 1)**2*(o + 2)
Suppose 9*p - 8*p + 5*a - 14 = 0, 5*p = 5*a + 10. Suppose 0 = y + p*y - 15, 2*y + 2 = 4*w. Solve 12 - 6 + 12 - 3*b**w - 2*b + 5*b = 0.
-2, 3
Let u be (-72)/204 - 1628/(-374). Let p(w) be the second derivative of -1/12*w**3 + 0 + 25*w + 1/24*w**u + 0*w**2 + 1/40*w**5 - 1/60*w**6. Solve p(n) = 0 for n.
-1, 0, 1
Let y = 91 - 74. Let z be y/7 + -2 - (-36)/14. Suppose -9*d**z + 16*d**2 + 15*d**3 - 10*d - 10*d**3 + 26*d - 4*d**4 = 0. What is d?
-2, -1, 0, 2
Suppose 13*t - 9 - 160 = 0. Let m = 16 - t. Let 30/7*n**2 + 250/7 + 2/7*n**m + 150/7*n = 0. What is n?
-5
Let o = -246681 - -246684. Factor -2/3*d - 2/9*d**o + 8/9*d**2 + 0.
-2*d*(d - 3)*(d - 1)/9
Let l(w) be the third derivative of w**6/40 + 11*w**5/120 - 25*w**4/24 + 2*w**3/3 - 91*w**2 - 7*w. Factor l(p).
(p - 2)*(p + 4)*(6*p - 1)/2
Let -1/6*l**4 - 42007896 + 84*l**3 + 1333584*l - 15876*l**2 = 0. Calculate l.
126
Let f(g) = -2*g**2 - 12*g + 12. Let k(d) = -9*d**2 - 60*d + 60. Let j = -10 - -20. Suppose j*i = 39 + 11. Let c(u) = i*k(u) - 24*f(u). Solve c(y) = 0 for y.
2
Suppose -p**3 + 58*p**2 + 2024*p - 4339*p + 212 + 2046*p = 0. What is p?
1, 4, 53
Let a(r) be the first derivative of r**6/60 - 3*r**5/20 - r**4 - 13*r**3/6 - 9*r**2/4 + 5*r - 13. Let j(b) be the first derivative of a(b). Factor j(d).
(d - 9)*(d + 1)**3/2
Let f(q) = 3*q + 96. Let x(h) = h**2 - 23*h + 32. Let r be x(20). Let z be f(r). Factor -111*s**5 + 228*s**5 + 8*s**3 - 113*s**5 - z*s**4.
4*s**3*(s - 2)*(s - 1)
Let i(x) = -11*x**2 - 11664*x - 6914877. Let k(r) = -20*r**2 - 23360*r - 13829755. Let u(f) = -5*i(f) + 3*k(f). Suppose u(h) = 0. What is h?
-1176
Let q = -34579 + 34579. Factor 0*o + q*o**2 + 2/9*o**4 - 8/9*o**3 + 0.
2*o**3*(o - 4)/9
Let s(g) = -3*g + 2. Let h be s(1). Let b(i) = 29*i**2 - 3*i - 4. Let l be b(h). Factor 2*f - 4*f**2 - f - l*f + 15*f.
-4*f*(f + 3)
Suppose -6*t - m + 16 = -3*t, 5*m + 34 = 4*t. What is i in -119*i**4 - 10*i**2 + 6*i**3 + 8 + 233*i**4 - 112*i**4 - t*i = 0?
-4, -1, 1
Let z(i) be the second derivative of -1/84*i**4 + 57*i - 2/21*i**3 + 0 + 2/7*i**2 + 1/140*i**5. Determine p so that z(p) = 0.
-2, 1, 2
Let v(z) be the third derivative of -z**5/100 + 1041*z**4/20 - 1083681*z**3/10 + 2*z**2 - 2826. Solve v(t) = 0 for t.
1041
Let d(k) be the second derivative of k**6/165 + 313*k**5/55 + 16432*k**4/11 + 64896*k**3/11 + 8960*k. Factor d(o).
2*o*(o + 2)*(o + 312)**2/11
Let d(r) be the first derivative of -r**6/270 + 17*r**5/270 - 8*r**4/27 + 4*r**3/9 + 3*r**2/2 - r + 39. Let j(x) be the second derivative of d(x). Factor j(z).
-2*(z - 6)*(z - 2)*(2*z - 1)/9
Let i be ((-570)/(-105))/((-9)/(-7)) - 4. Let m = 651 - 649. Suppose 2/9*k + i*k**m + 0 = 0. Calculate k.
-1, 0
Let v be (-8)/(-84) - -82*13/273. Let n(c) be the second derivative of -1/3*c**3 - 3*c + 1/10*c**5 + 0 + 1/15*c**6 - 1/2*c**v + 2*c**2. Factor n(l).
2*(l - 1)**2*(l + 1)*(l + 2)
Let j be (3 - (-159)/(-30))/((-12)/(-20232)). Let k = -3858 - j. Factor 192/5*z**2 + 0 + k*z**4 + 432/5*z**3 + 0*z + 6/5*z**5.
3*z**2*(z + 8)**2*(2*z + 1)/5
Let q(f) = -f**2 + 38*f + 366. Let l be q(-8). Let r be ((-49)/(-441))/(l/(-6)). Factor 1/3*m**2 + r + 2/3*m.
(m + 1)**2/3
Let s(b) be the second derivative of b**4/8 + 80*b**3 - 963*b**2/4 - 2094*b. Find o such that s(o) = 0.
-321, 1
Let p(t) = -7*t**3 + 461*t**2 + 471*t + 36. Let x(j) = -20*j**3 + 1384*j**2 + 1412*j + 96. Let a(g) = -8*p(g) + 3*x(g). Solve a(r) = 0.
-1, 0, 117
Let z = 12029 - 12022. Let j(g) be the third derivative of 5/96*g**4 + z*g**2 + 0*g + 1/96*g**6 + 0 + 0*g**3 - 1/24*g**5. Let j(o) = 0. Calculate o.
0, 1
Let l be 399/456*600/15. Factor l*b - 49 - 5/2*b**3 + 3/4*b**2 - 1/4*b**4.
-(b - 2)**2*(b + 7)**2/4
Let t = -7301 - -7306. Let l(u) be the third derivative of 0*u + 1/30*u**3 - 1/1050*u**7 + 0 + 30*u**2 + 0*u**t + 1/300*u**6 - 1/60*u**4. Factor l(d).
-(d - 1)**3*(d + 1)/5
Suppose 3*l + 257 = 263. Let r = 351 + -349. What is i in -1/3*i**r - 1/3*i**4 + 4/3*i**3 - l*i + 0 = 0?
-1, 0, 2, 3
Factor 1576/5*t - 4/5*t**2 - 155236/5.
-4*(t - 197)**2/5
Let z(m) be the first derivative of -4*m**5/5 + 154*m**4 - 25492*m**3/3 + 68376*m**2 - 197136*m - 3183. Factor z(a).
-4*(a - 74)**2*(a - 3)**2
Let y(r) be the third derivative of r**8/2352 + 31*r**7/294 - 473*r**6/84