c be 15 - (-55)/105*-21. Let 0*r + 7/3*r**2 - r**c + 1/3*r**3 - 1/3*r**5 - 4/3 = 0. Calculate r.
-2, -1, 1
Let v(m) be the third derivative of -m**8/840 + 79*m**7/175 + 479*m**6/300 - 79*m**5/50 - 239*m**4/30 - m**2 - 6*m - 42. Find k, given that v(k) = 0.
-2, -1, 0, 1, 239
Let u(g) be the second derivative of -g**5/180 - g**4/27 + 5*g**3/54 + 6499*g + 2. Factor u(p).
-p*(p - 1)*(p + 5)/9
Let r(a) be the first derivative of 89 - 55/2*a**2 - 60*a + 5/3*a**3. Factor r(k).
5*(k - 12)*(k + 1)
Let q(j) be the first derivative of j**4/2 - 36*j**3 - 274. Let q(o) = 0. What is o?
0, 54
Let k(j) be the second derivative of j**7/1680 - j**5/60 + j**3/2 - 7*j**2/2 + 131*j. Let q(n) be the second derivative of k(n). What is t in q(t) = 0?
-2, 0, 2
Let h(z) be the first derivative of 24*z + 43 + 4/3*z**3 - 14*z**2. Factor h(d).
4*(d - 6)*(d - 1)
Suppose -528*l + 1297 + 287 = 0. Let 3/7*j**l + 108/7 + 30/7*j**2 + 99/7*j = 0. Calculate j.
-4, -3
Suppose -62*a + 51321 - 51197 = 0. Solve -2*q**a + 5/2*q - 1/2*q**3 + 0 = 0.
-5, 0, 1
Let v(z) be the first derivative of -3*z**5/35 + 36*z**4/7 - 576*z**3/7 - 1718. Factor v(n).
-3*n**2*(n - 24)**2/7
Let k(m) be the third derivative of -4/21*m**3 + 40 + 0*m**4 + 1/210*m**5 + 0*m - 3*m**2. Factor k(o).
2*(o - 2)*(o + 2)/7
Factor 0*x - 105/2*x**4 - 95/2*x**2 + 0 + 195/2*x**3 + 5/2*x**5.
5*x**2*(x - 19)*(x - 1)**2/2
Let r(t) be the second derivative of t**7/6300 - t**6/150 + 11*t**5/300 + 5*t**4/12 + t**3/3 - 2*t - 1. Let n(q) be the third derivative of r(q). Factor n(u).
2*(u - 11)*(u - 1)/5
Suppose 5*u = -c + 61816, 307924 = -232*c + 237*c - 43*u. Let 57*h**2 + 3249*h + 1/3*h**3 + c = 0. Calculate h.
-57
Let s(n) be the first derivative of -n**6/280 + 9*n**5/140 - 3*n**4/7 + 8*n**3/7 + 43*n**2 - 68. Let v(x) be the second derivative of s(x). Factor v(z).
-3*(z - 4)**2*(z - 1)/7
Let p(u) be the third derivative of u**7/42 - 3*u**6 + 247*u**5/4 - 3175*u**4/12 + 500*u**3 + 1505*u**2 - 2*u. Determine i so that p(i) = 0.
1, 10, 60
Let x(p) be the third derivative of -2*p**2 + 1/3*p**5 - 1/10*p**6 - 16/3*p**3 - 48*p + p**4 + 0. Find h, given that x(h) = 0.
-4/3, 1, 2
Suppose h + 3*a = 27, -15*h - 4*a + 41 = -12*h. Let w(z) be the third derivative of 0*z**4 + 0 + 1/180*z**5 - 1/720*z**6 - z**2 + 0*z**h + 0*z. Factor w(y).
-y**2*(y - 2)/6
Factor -314/5 - 2/5*g**3 + 314/5*g**2 + 2/5*g.
-2*(g - 157)*(g - 1)*(g + 1)/5
Factor -32/3*c + 2/3*c**2 + 0.
2*c*(c - 16)/3
Let s = 282766 + -282764. Factor 2/3*g**s + 6 + 4*g.
2*(g + 3)**2/3
Let n(z) = -z**2 - 6*z + 22. Let j be n(-8). Suppose -j = -5*s + 4. Determine x, given that -s*x**4 + 24*x**2 - 24*x**5 + 11*x**3 + 5*x**3 + 22*x**5 = 0.
-2, 0, 3
Let j(n) be the first derivative of 2*n**5/35 - 13*n**4/7 + 142*n**3/21 - 46*n**2/7 - 5074. Let j(k) = 0. What is k?
0, 1, 2, 23
Let j(p) = -31 + 0 + 23*p**3 - 38*p - 6*p**2 - 12*p**3 - 7*p - 25. Let n(q) = 9*q**3 - 7*q**2 - 45*q - 55. Let a(c) = -5*j(c) + 6*n(c). Factor a(g).
-(g + 2)*(g + 5)**2
Let r be 1506/19076*304/12. Factor 0 - 4/9*m**3 - 4/3*m - 16/9*m**r.
-4*m*(m + 1)*(m + 3)/9
Let y(p) be the third derivative of -7*p**6/30 + 13*p**5/15 + 4*p**4/3 - 8*p**3 - 2*p**2 - 3552. Let y(d) = 0. What is d?
-1, 6/7, 2
Suppose -21*b = -22280 - 62161. Factor -6*q**2 + 3 + 2*q**4 + 6*q - b*q**3 + 4025*q**3 - 14*q + 5.
2*(q - 1)**2*(q + 2)**2
Let y(u) be the second derivative of -u**6/6 - 7*u**5/4 - 55*u**4/12 + 35*u**3/6 + 30*u**2 - 2*u - 54. Let y(k) = 0. What is k?
-4, -3, -1, 1
Let z = -359661 - -359666. Factor 0*r**2 + 1/4*r**z - 3/4*r**3 - 1/2*r**4 + 0 + 0*r.
r**3*(r - 3)*(r + 1)/4
Factor 33*z**2 - 3/2*z**3 - 168 - 267/2*z.
-3*(z - 16)*(z - 7)*(z + 1)/2
Let n(f) be the second derivative of f**6/75 - 3*f**5/10 + 38*f**4/15 - 52*f**3/5 + 112*f**2/5 - 1969*f. Determine q so that n(q) = 0.
2, 4, 7
Let s = 366453/4 + -91522. Let 5/4*k - 85/4*k**4 + 25*k**5 + 15/2 - 525/4*k**3 - s*k**2 = 0. Calculate k.
-1, -2/5, 1/4, 3
Let k = 16416/41065 - -2/8213. Suppose -8/5*j**2 + 0 - k*j**4 + 0*j - 8/5*j**3 = 0. Calculate j.
-2, 0
Let 187*h**3 - 96*h**2 + 3734*h + 24*h**4 - 3626*h - 226*h**3 + 3*h**5 = 0. Calculate h.
-9, -2, 0, 1, 2
Let d(n) be the first derivative of -n**3 - 18*n**2 + 1344*n - 1525. Suppose d(z) = 0. Calculate z.
-28, 16
Let v = 12521/926 + -10/463. What is g in 1/6*g**5 + 9*g + 0 + 11/6*g**4 + 15/2*g**3 + v*g**2 = 0?
-3, -2, 0
Let t(p) be the second derivative of 3025/2*p**2 - 109/12*p**4 + 0 + 1/20*p**5 + 2915/6*p**3 + 60*p. Factor t(r).
(r - 55)**2*(r + 1)
Suppose -16*j = -8*j. Let k be ((-49)/21)/((-42)/54). Determine n, given that 1/2*n**4 + 5/2*n**2 + j - 2*n**k - n = 0.
0, 1, 2
Let x = 13604 + -13600. Let t(l) be the second derivative of 2*l**5 + 0*l**2 - 5/12*l**x + 6*l + 0 + 0*l**3. Factor t(f).
5*f**2*(8*f - 1)
Let n = 13346849/1076360 - -3/215272. Find r such that -4/5*r + n*r**3 + 0 - 18*r**5 - 2*r**2 + 42/5*r**4 = 0.
-2/3, -1/5, 0, 1/3, 1
Let m(p) be the third derivative of 1/120*p**5 + 0*p + 0 + 1/6*p**3 + 32*p**2 - 1/16*p**4. Let m(s) = 0. What is s?
1, 2
Let t = -2 + 2. Suppose -2*f - 9 + 0 = -3*i, 2*i + 5*f - 6 = t. What is m in -13*m**i - 22*m + 8*m**2 + 23*m**3 + 3 + 1 = 0?
-2, 1/5, 1
Let u(l) be the third derivative of l**5/15 + 164*l**4/3 - 658*l**3/3 + 1951*l**2. Factor u(k).
4*(k - 1)*(k + 329)
Let m be (1 + -2)*2/(-3900)*5. Let u(s) be the third derivative of m*s**5 + 0 + 0*s + 100/39*s**3 - 5/39*s**4 - 28*s**2. Factor u(o).
2*(o - 10)**2/13
Let w be (-4 - (-2 + 0)) + 72/36. Let v(y) be the first derivative of 0*y**3 - 1/30*y**5 - 8 + w*y**2 + 0*y - 1/24*y**4. Factor v(t).
-t**3*(t + 1)/6
Let j(b) be the third derivative of -b**6/540 - b**5/6 + 31*b**4/36 + 16337*b**3/27 - 3365*b**2. Find d, given that j(d) = 0.
-31, 17
Let g(x) be the second derivative of 5/6*x**2 + 0 - 1/3*x**3 + 1/36*x**4 - 87*x. Suppose g(f) = 0. Calculate f.
1, 5
Let l(w) be the first derivative of -1/10*w**4 + 14 + 1/15*w**6 - 6/25*w**5 + 8/5*w - 12/5*w**2 + 22/15*w**3. Find f such that l(f) = 0.
-2, 1, 2
What is l in 48/5*l**3 - 2*l**4 - 104/5*l + 18*l**2 - 24/5 = 0?
-2, -1/5, 1, 6
Let 86/7*z**2 - 72/7 + 72/7*z - 4/7*z**3 - 10/7*z**4 = 0. What is z?
-2, 3/5, 3
Let c(j) = 45*j**3 - 1208*j**2 + 3185*j + 765. Let b(q) = -126*q**3 + 3622*q**2 - 9556*q - 2296. Let u(n) = -3*b(n) - 8*c(n). Suppose u(w) = 0. Calculate w.
-2/9, 3, 64
Suppose 41*o = 38*o + 6. Suppose 6*f**o + 2704 - f**2 - 208*f - 7*f**2 + 6*f**2 = 0. What is f?
26
Suppose -5*v + 0*v + 24 = -p, -v = 2*p + 4. Let h(x) = x**3 + 3*x**2 - 28*x - 94. Let m be h(-4). Factor -34*l**3 + v*l**m + 33*l**3 + 0*l**2 - l**2.
-l**2*(l - 3)
Solve 58/7*v**2 - 96/7*v - 9/7*v**3 + 32/7 = 0 for v.
4/9, 2, 4
Let i = -136940 + 136949. Factor -i*f**2 - 21*f + 0 + 3/4*f**3.
3*f*(f - 14)*(f + 2)/4
Let l(d) = -11*d**5 - d**3 - d**2 + d + 1. Let j(t) = 67*t**5 - 19*t**4 - 23*t**3 + 197*t**2 - 230*t + 74. Let m(r) = j(r) + 6*l(r). Find b such that m(b) = 0.
-4, 1, 20
Let v be 0 + -3 + -14 + 17. Let i(f) be the first derivative of 8 + 1/9*f**2 + 2/27*f**3 + v*f. Factor i(x).
2*x*(x + 1)/9
Let j(h) be the second derivative of -h**8/1120 - 3*h**7/560 + 19*h**3/3 - 84*h. Let o(m) be the second derivative of j(m). Factor o(l).
-3*l**3*(l + 3)/2
Suppose 30*t - 31*t - 4 = 0, 8*t - 3*t = -3*m - 5. Let -114*h**2 - 51/5*h**4 - 3/5*h**m - 282/5*h**3 - 483/5*h - 147/5 = 0. What is h?
-7, -1
Let o be (-2907)/456 + (-6)/(-16). Let w be -8*o/(29 + -5). Factor -8/19*c + 2/19*c**w - 8/19 + 2/19*c**3.
2*(c - 2)*(c + 1)*(c + 2)/19
Let d(m) be the first derivative of 5/12*m**6 + 0*m + 3/2*m**5 + 25/6*m**3 + 92 + 0*m**2 - 45/8*m**4. Factor d(o).
5*o**2*(o - 1)**2*(o + 5)/2
Let z(q) = -17*q**2 + 383*q - 2027. Let l be z(14). Find i such that -6/5 + 1/5*i**l + 6/5*i**2 - 1/5*i = 0.
-6, -1, 1
Let f(d) be the second derivative of -1/10*d**5 + 1/6*d**4 + 14*d - 1/7*d**7 + 0*d**2 - 1/3*d**6 - 2 + 0*d**3. What is i in f(i) = 0?
-1, 0, 1/3
What is b in 48/7*b - 48/7*b**3 + 6/7*b**4 + 36/7*b**2 - 6 = 0?
-1, 1, 7
Let u be (13 - -11 - 24)/(3*-1). Let g(a) be the second derivative of u + 4*a + 2*a**3 - 4*a**2 - 1/3*a**4. Suppose g(j) = 0. Calculate j.
1, 2
Let u = -1236343/9 - -412115/3. Solve 0 + 2/9*h**4 + 0*h - 4/9*h**2 + u*h**3 = 0 for h.
-2, 0, 1
Suppose -25*s - 487*s + 16342*s**2 - 16341*s**2 + 65536 = 0. Calculate s.
256
Let a(r) 