e the third derivative of -f**6/48 + 37*f**5/3 - 36995*f**4/16 + 36015*f**3/2 - 836*f**2 + f. What is s in p(s) = 0?
2, 147
Suppose -6*q = -3*o - 36, q - 19 = 5*o + 14. Let a(g) be the first derivative of -2/3*g**3 - 32*g + q*g**4 - 2/5*g**5 - 24*g**2 + 17. Factor a(f).
-2*(f - 4)**2*(f + 1)**2
Let 1816398*q - 28*q**3 + 9040*q**2 + 2611084*q + 813417*q - 8190250 + 33*q**3 - 1163874*q = 0. What is q?
-905, 2
Let g = -105163/27 + 3895. Let k(p) be the first derivative of -g*p**3 - 8/9*p**2 - 13 - 32/9*p. Let k(x) = 0. What is x?
-4
Let n(h) = 2*h**3 + h**2 + 36*h + 138. Let o(b) = 11*b**3 + 7*b**2 + 217*b + 800. Let f(x) = -34*n(x) + 6*o(x). Determine j so that f(j) = 0.
-3, -2, 9
Suppose 247*a = -1 + 1. Let u(f) be the first derivative of 33 + a*f**2 + 1/8*f**3 - 3/8*f. Factor u(l).
3*(l - 1)*(l + 1)/8
Let j(i) = -i**3 - 7*i + 16. Let m be j(-17). Determine h, given that 231*h + m*h**3 + 427*h**3 - 8 - 1734*h**2 - 562*h**3 - 27*h = 0.
2/17
Let j(h) be the third derivative of -4/735*h**7 + 41*h**2 + 0 + 0*h + 1/588*h**8 + 4/7*h**3 - 1/35*h**6 + 4/105*h**5 + 13/42*h**4. Factor j(r).
4*(r - 3)*(r - 2)*(r + 1)**3/7
Let g(k) = -1080*k**2 + 222*k - 15. Let q(t) = -1081*t**2 + 224*t - 14. Suppose -2*i - h = h - 14, i + 2*h - 11 = 0. Let s(w) = i*q(w) - 2*g(w). Factor s(p).
-3*(19*p - 2)**2
Find g such that 200*g - 1002/5 + 2/5*g**2 = 0.
-501, 1
Let d(u) be the third derivative of -1/210*u**7 + 0 - 7/20*u**5 + 50/3*u**3 + 5/3*u**4 - 40*u**2 + 3*u - 1/12*u**6. Factor d(h).
-(h - 2)*(h + 2)*(h + 5)**2
Let t = 1017314 - 1017312. Find f, given that 0 - 3/7*f**4 + 0*f**3 - 48/7*f + 36/7*f**t = 0.
-4, 0, 2
Suppose -189*i + 33*i = -75 - 237. Let c(g) be the second derivative of i*g - 1/100*g**5 - 1/20*g**4 - 1/15*g**3 + 0 + 0*g**2. Solve c(j) = 0.
-2, -1, 0
Let z be 350/(-85) + 4 + (-2)/(-57)*(-89646)/(-2278). Let -2/19*n**2 + z - 8/19*n = 0. What is n?
-6, 2
Let l be 1145*10/50 - 9. Factor -49*g**2 - l - 5*g**2 + 59*g**2 - 100*g.
5*(g - 22)*(g + 2)
Let w = -4515 - -4515. Let q(j) be the second derivative of -9/4*j**2 - 1/24*j**4 - 1/2*j**3 + w - 14*j. Find o, given that q(o) = 0.
-3
Factor 2852624 + 7070*v + 5*v**2 + 0*v**2 - 381366 + 27987.
5*(v + 707)**2
Factor 14*n**3 + 15*n**2 + 351*n + 27*n**2 + 66*n**2 - 17*n**3.
-3*n*(n - 39)*(n + 3)
Let i(h) be the first derivative of h**4/6 - 38*h**3 + 3249*h**2 + 131*h - 89. Let c(x) be the first derivative of i(x). Solve c(z) = 0 for z.
57
Let u be 52390/17745 - (-4)/(-6). Suppose -u + 4*b - 32/7*b**3 + 4/7*b**5 + 8/7*b**4 + 8/7*b**2 = 0. Calculate b.
-4, -1, 1
Suppose -261 = 8*i + 539. Let c be ((-36)/15)/(2*5/i). Factor 28*d**4 - c*d**4 + d**3 + 3 + 3*d**5 - 3.
d**3*(d + 1)*(3*d + 1)
Suppose 0 = 4*k - 6*n - 10, 3*k - 122*n = -121*n + 11. Let j(v) be the second derivative of 13/4*v**3 + 0 + 5*v + 5/2*v**2 - 1/6*v**k. Factor j(o).
-(o - 10)*(4*o + 1)/2
Suppose 33*p = -30978 - 19677. Let q = p - -1537. Suppose -5/3*t**4 + 0*t**3 + 10/3*t + 0 + 5*t**q = 0. Calculate t.
-1, 0, 2
Let r(m) be the second derivative of -m**7/14 - m**6/10 + 27*m**5/20 + 9*m**4/4 - m - 675. Let r(n) = 0. Calculate n.
-3, -1, 0, 3
Let p = 53 - 50. Let v = -42 - -45. Factor 6*f**3 + 6 - 6 - v*f**2 - 5*f**p.
f**2*(f - 3)
Let g(m) be the second derivative of 5*m**4/54 + 26*m**3/27 + 7341*m. Factor g(z).
2*z*(5*z + 26)/9
Let j(p) = 10156*p + 121875. Let l be j(-12). Factor 7/4 - 1/4*u**l + 13/4*u + 5/4*u**2.
-(u - 7)*(u + 1)**2/4
Suppose 99 = 36*f - 81. Suppose 0 = 5*t - 3*q + 6, 5*t - 5*q - f = -15. Factor 0 + t*r + 4/7*r**2.
4*r**2/7
Let t(g) = 31*g - 91. Let w be t(3). Let q(b) be the second derivative of 0 - 1/2*b**3 - w*b**2 + 1/12*b**4 + 10*b. Solve q(v) = 0 for v.
-1, 4
Let i(t) be the first derivative of 0*t**3 + 0*t - 38 - 4*t**4 + 2/3*t**6 + 12/5*t**5 + 0*t**2. Factor i(p).
4*p**3*(p - 1)*(p + 4)
Let n(t) = t**3 - 13*t**2 - 19*t + 61. Let o be n(14). Let h be o/(-6)*(7 + 17/(-3)). Suppose 5 + 20*m - 55/4*m**3 + 5*m**4 - 15/4*m**h = 0. Calculate m.
-1, -1/4, 2
Let x(t) be the third derivative of -t**8/504 + 2*t**7/105 - t**6/36 - 2*t**5/9 + t**4 - 16*t**3/9 - 614*t**2. Let x(r) = 0. What is r?
-2, 1, 2, 4
Suppose 2*d = -5*t + 16 + 3, 0 = -2*d + 5*t - 11. Suppose 0 = -3*n + 7*n - 8. Factor 8*b**2 - 2*b + n*b**3 - 19*b**2 + 3*b**d + 10*b**2 - 2.
2*(b - 1)*(b + 1)**2
Let i = -181 + 111. Let d = 70 + i. Determine p, given that -42*p**2 + d - 3*p + 0 + 41*p**2 = 0.
-3, 0
Let b(f) be the second derivative of -f**7/84 - 511*f**6/60 - 66043*f**5/40 - 195073*f**4/24 - 48514*f**3/3 - 16129*f**2 - 1550*f. Determine g so that b(g) = 0.
-254, -1
Let v be 2/(-10) - 11/(-5). Let -14*j**2 - 60*j - 12*j**v - 32 - 8 - 5*j**3 - 4*j**2 = 0. Calculate j.
-2
Find j such that -338724 - 1/4*j**2 + 582*j = 0.
1164
Let u(x) be the first derivative of 16 + 45/4*x**4 + 0*x - x**5 + 40*x**2 - 40*x**3. Determine b, given that u(b) = 0.
0, 1, 4
Suppose 4*j = -28, 19*n - 21*n + 0*j = -5*j - 39. Factor -1/3*y**4 - 17/3*y + 0 + 1/3*y**n + 17/3*y**3.
-y*(y - 17)*(y - 1)*(y + 1)/3
Let h(c) be the second derivative of -c**5/70 + 5*c**4/42 + 2*c**3/7 + 3*c - 47. Factor h(z).
-2*z*(z - 6)*(z + 1)/7
Let l be 3/7 + 217804/476. Let s = l + -456. Solve 1/5*o**s + 5 - 2*o = 0.
5
Suppose -5*h = 4*m - 79, -2*h + 4*m + 46 = 2*m. Suppose -30 = 4*j - h*j. Let -1/10*i**4 + 0 + 1/10*i**j - 1/5*i**3 + 1/5*i = 0. What is i?
-2, -1, 0, 1
Determine a so that 84/5*a + 0 - 62*a**2 - 306/5*a**3 = 0.
-21/17, 0, 2/9
Let g(i) be the first derivative of -2*i**5/65 + 31*i**4/26 - 166*i**3/13 + 301*i**2/13 + 3724*i/13 + 3198. Determine k so that g(k) = 0.
-2, 7, 19
Let 19258*k**2 - 5*k**3 - 309*k - 18898*k**2 - 46*k = 0. Calculate k.
0, 1, 71
Let a(x) be the second derivative of x**5/12 - 75*x**4/8 - 115*x**3/3 - 82*x**2 + 75*x. Let k(l) be the first derivative of a(l). Factor k(v).
5*(v - 46)*(v + 1)
Let d(r) be the third derivative of -40*r**7/21 + 2*r**6/3 + 133*r**5/5 - 40*r**4/3 + 8*r**3/3 + 1733*r**2. Let d(h) = 0. Calculate h.
-2, 1/10, 2
Suppose 0 = 17*x + 4*h - 71, -101 + 105 = -2*x + 2*h. Suppose 1/3*y**x - 1000/3 + 100*y - 10*y**2 = 0. Calculate y.
10
Let a(w) = 6*w - 16. Let l be a(5). Let -l*m**2 + 38*m**3 + 38*m**3 + 12*m - 76*m**3 + 2*m**4 = 0. Calculate m.
-3, 0, 1, 2
Let i(l) be the second derivative of 5/12*l**4 + 19*l - 5/6*l**3 + 0 - 5*l**2. Factor i(y).
5*(y - 2)*(y + 1)
Let x(q) be the first derivative of -25*q**3/3 - 3295*q**2 + 2640*q - 1825. Let x(k) = 0. Calculate k.
-264, 2/5
Let n(b) = b**4 + 3*b**3 - b**2 - b - 1. Let i(o) = o**4 + 27*o**3 + 199*o**2 - 67*o - 2102. Let f(y) = -3*i(y) + 6*n(y). Factor f(h).
3*(h - 28)*(h - 3)*(h + 5)**2
Let f(a) be the third derivative of -a**6/120 - 7*a**5/20 - 18*a**3 + 12*a**2 + 3*a. Let q(d) be the first derivative of f(d). Factor q(c).
-3*c*(c + 14)
Let c(a) be the third derivative of -14/9*a**3 + 1/36*a**6 + 1/630*a**7 + 7/60*a**5 - 1/18*a**4 + 0*a - 70*a**2 + 0. Factor c(p).
(p - 1)*(p + 2)**2*(p + 7)/3
Let n = 1279/2367 - -4/263. Let p = n + 47/45. Factor 0 - 4/5*l**4 - p*l**2 + 26/15*l**3 + 2/15*l**5 + 8/15*l.
2*l*(l - 2)**2*(l - 1)**2/15
Let m(z) be the first derivative of 5*z**3/3 - 3045*z**2 - 6095*z - 12467. Factor m(x).
5*(x - 1219)*(x + 1)
Let z = 478 - 530. Let k = 57 + z. Factor a**4 + 0 + 0*a + 1/2*a**k + 0*a**3 + 0*a**2.
a**4*(a + 2)/2
Suppose -10*b = -39*b + 957. Factor 3*l + 5*l - 10*l - 4 + 35*l**2 - b*l**2.
2*(l - 2)*(l + 1)
Suppose 611*w - 2247*w = -561*w - 5375. Factor 0 + 0*q - 2/9*q**w + 44/9*q**3 + 2*q**4 + 0*q**2.
-2*q**3*(q - 11)*(q + 2)/9
Find n such that 1696/9*n - 256 - 448/9*n**2 + 50/9*n**3 - 2/9*n**4 = 0.
4, 8, 9
Let t(b) = b**2 - b - 1. Let d(h) = 7*h**2 + 6*h + 26. Let w be (-56 - -57)/(22/12 + -2). Let l(i) = w*t(i) + d(i). Factor l(o).
(o + 4)*(o + 8)
Let x(u) = 13*u**2 + 14*u + 15. Let a be x(-1). Suppose -2*i**4 + 5*i**5 - a*i**3 + i**5 + i**5 + 2*i**2 + 7*i**3 = 0. What is i?
-1, 0, 2/7, 1
Suppose 12*m + 39 = 9*m. Let c be (-15)/(-1) + m + 8. Factor 5*j**5 - 4*j + 14*j - 15*j**3 - c*j**2 - 5*j**4 + 15*j**2.
5*j*(j - 2)*(j - 1)*(j + 1)**2
Suppose 1 = 5*p - 24. Factor -27*c**3 + p*c**4 + 33*c**3 - 21*c**3.
5*c**3*(c - 3)
Let x(h) = 2*h**2 - 2*h - 561. Let m(i) = i**2 - 3*i - 280. Let b(c) = -5*m(c) + 2*x(c). Let s be b(23). Factor 4/9 + 0*d - 4/9*d**s.
-4*(d - 1)*(d + 1)/9
Let c(a) = 7*a**2 +