0. Calculate g.
0, 38/7
Let z(o) be the third derivative of -o**6/72 - o**5/4 + 5*o**4/2 + 82*o**2 + 3. What is k in z(k) = 0?
-12, 0, 3
Let i(o) be the third derivative of 1/3*o**5 + 0*o**3 + 5/2*o**4 + 0 - 1/24*o**6 + 171*o**2 + 0*o. Factor i(j).
-5*j*(j - 6)*(j + 2)
Determine k, given that 10*k**4 + 72 + 151*k**2 - 182*k - 46*k**2 - 40*k**3 - 9*k**4 + 44*k**2 = 0.
1, 2, 36
Suppose -5*i - 16*i = -189. Suppose 1 = i*w + 1. Solve 1/6*s**3 - 1/6*s**2 + w*s + 0 = 0.
0, 1
Let o(h) be the third derivative of h**7/1365 + 31*h**6/780 - 2*h**5/195 - 31*h**4/39 - 2842*h**2. Solve o(d) = 0 for d.
-31, -2, 0, 2
Let b(a) be the first derivative of -a**5/160 - 11*a**4/64 - 5*a**3/8 + 4*a**2 - 9*a + 45. Let m(h) be the second derivative of b(h). Let m(f) = 0. Calculate f.
-10, -1
Suppose 57*o - 11451 + 138276 = 0. Let h = o - -17857/8. Solve 0 - 3/4*q + 3/8*q**2 + 45/8*q**3 + h*q**4 + 21/8*q**5 = 0.
-1, 0, 2/7
Let b(p) be the first derivative of -2*p**6/15 - 8*p**5/5 - 22*p**4/3 - 16*p**3 - 18*p**2 - 232*p + 212. Let h(l) be the first derivative of b(l). Factor h(f).
-4*(f + 1)**2*(f + 3)**2
Factor -266/3 + 52/3*b - 2/3*b**2.
-2*(b - 19)*(b - 7)/3
Let c(n) be the first derivative of n**4/16 - 25*n**3/12 - 57*n**2/8 + 81*n/4 - 1214. Factor c(s).
(s - 27)*(s - 1)*(s + 3)/4
Let y = -116 - 130. Let f = y + 246. Determine d, given that f + 8/13*d + 8/13*d**2 + 2/13*d**3 = 0.
-2, 0
Determine g, given that -225/4*g**3 + 0 - 3/4*g**5 + 0*g + 0*g**2 + 21*g**4 = 0.
0, 3, 25
Let s = -318630 + 2867672/9. Solve -4/9*x**3 + 8/9*x**2 + 2/9*x - 4/9 + s*x**5 - 4/9*x**4 = 0.
-1, 1, 2
Let h be (-44)/2*15/(-6). Factor 15*s**4 + 20 - 338*s - 10*s**3 - h*s**3 + 117*s + 105*s**2 + 146*s.
5*(s - 1)**3*(3*s - 4)
Let m be (-378)/12*(-4)/6. Let n be -7 + 65/10 + m/18. Determine c, given that c + 1/3*c**2 + n = 0.
-2, -1
Suppose -261*j - 15*j = -56*j - 440. Let -4/3*f**3 + 4/3*f**j + 0 + 8/3*f = 0. Calculate f.
-1, 0, 2
Let f(z) = -z - 25. Let g be f(6). Let a = g + 36. Solve 7 + 5*s + a*s**2 - 19 + 2 = 0 for s.
-2, 1
Let r = -994352/11 + 90458. Let v = r - 62. Find s such that 2/11*s + v - 2/11*s**2 = 0.
-1, 2
Let w(g) = 1669*g + 36721. Let z be w(-22). Let t = 91/474 + -2/79. Factor 2*n**z + t*n**5 + 0 + n**4 + 0*n + 4/3*n**2.
n**2*(n + 2)**3/6
Let h(l) = 7*l**2 - l - 1. Let b be h(1). Suppose 4*x - b*x + 2 = 0. Let 107 - t**3 - 13*t - 13*t**2 - 62 - 51 + 5*t**x = 0. What is t?
-6, -1
Let f(o) = -o**2 - 16*o - 59. Let i be (-10)/25 - 40/25. Let r be (-2)/3 - (i + 38/6). Let g(y) = 1. Let j(z) = r*g(z) + f(z). Factor j(v).
-(v + 8)**2
Let b(u) be the third derivative of 0*u**3 + 0 + 0*u - 79*u**2 - 2/5*u**4 + 1/75*u**5 + 1/150*u**6. Factor b(g).
4*g*(g - 3)*(g + 4)/5
Let w(j) be the first derivative of -8*j**3/3 + 738*j**2 + 740*j + 833. Let w(k) = 0. What is k?
-1/2, 185
Let q(b) be the first derivative of -11/3*b**2 - 242/3*b - 1/18*b**3 + 138. Factor q(h).
-(h + 22)**2/6
Let l(c) be the first derivative of -11*c**6/6 - 9*c**5/5 + 6*c**4 - 4*c**3/3 + 2086. Solve l(m) = 0.
-2, 0, 2/11, 1
Let r(y) be the first derivative of y**3 - 585*y**2/2 + 582*y - 420. Factor r(b).
3*(b - 194)*(b - 1)
Let l = -42 - -56. Let s(j) = -j**2 + 12*j + 39. Let h be s(l). Factor 4 - 4*n + 0*n + h*n**2 - 12 - 7*n**2.
4*(n - 2)*(n + 1)
Let w(k) be the first derivative of k**5/90 - 7*k**4/18 + 13*k**3/9 - k**2/2 - 146*k - 90. Let x(c) be the second derivative of w(c). Factor x(z).
2*(z - 13)*(z - 1)/3
Suppose 6*b - 2254 + 640 = 0. Let 267*r**4 - 12*r**2 - 18*r**2 + 8*r + 40 - b*r**4 - 16*r**3 = 0. Calculate r.
-5, -2, 1
Let n(p) = -20*p**3 + p**2 - 9*p - 7. Let q be n(-3). Let z = 569 - q. Factor 0*g**3 + 0*g + 3/2*g**4 + z - 3/2*g**2.
3*g**2*(g - 1)*(g + 1)/2
Let v = 21189511/144474 - -3/48158. Factor 50/3*z**2 + v*z + 968/3.
2*(5*z + 22)**2/3
Let t(a) be the first derivative of a**6/30 + 6*a**5/25 - 3*a**4/10 - 44*a**3/15 - 51*a**2/10 - 18*a/5 - 1544. Find o such that t(o) = 0.
-6, -1, 3
Let y be (0 + -6 + 8)*(-121)/14. Let q = 589/28 + y. Suppose -25/8*i**3 - 1 + 9/2*i - q*i**2 = 0. What is i?
-2, 2/5
Let j(l) = l**3 + l**2 - 2*l + 20. Let y be j(0). Let k = 67 - y. Suppose -117*z**2 - 63*z**4 + 32*z + 220*z**3 + 10*z**4 - 35*z**2 - k*z**4 = 0. What is z?
0, 2/5, 4/5, 1
Let l(s) be the third derivative of -s**6/165 - 61*s**5/660 - 127*s**4/264 - 37*s**3/33 - 2*s**2 + 587. Factor l(u).
-(u + 1)*(u + 2)*(8*u + 37)/11
Let p = 933 - 8348/9. Let a(n) be the third derivative of -p*n**3 + 0 + 7/36*n**4 + 0*n + 22*n**2 - 1/360*n**5. Find j, given that a(j) = 0.
14
Let 4/9*w**4 - 44/9*w**3 + 88/3 - 28/9*w**2 + 284/9*w = 0. What is w?
-2, -1, 3, 11
Let r(d) be the third derivative of 27 + d**3 - 1/24*d**4 + d**2 - 1/60*d**5 + 0*d. Factor r(u).
-(u - 2)*(u + 3)
Find n, given that -11/10*n**2 + 1/10*n**5 - 9/10*n**3 - 2/5*n + 0 - 1/10*n**4 = 0.
-1, 0, 4
Let u(z) be the first derivative of -z**5/110 + z**4/44 - 31*z**2/2 + 60. Let c(o) be the second derivative of u(o). Factor c(f).
-6*f*(f - 1)/11
Let p(s) = -26*s**4 - 181*s**3 + 472*s**2 - 117*s - 6. Let l(d) = -152*d**4 - 1085*d**3 + 2832*d**2 - 703*d - 34. Let c(g) = -6*l(g) + 34*p(g). Factor c(v).
4*v*(v - 2)*(v + 15)*(7*v - 2)
Suppose 4*z - 208 = -4*r, -z = -5*r + r + 203. Suppose 5*g + 2*p - 358 = 0, 0 = -0*g + g - 3*p - 75. Factor -70*s - r*s - 3*s**2 + 97*s + g + 5*s**2.
2*(s - 6)**2
Let s(b) = -13698*b - 41094. Let p be s(-3). Suppose -3*f**2 + 0 - 459/2*f**4 + 117/2*f**3 + 174*f**5 + p*f = 0. What is f?
0, 2/29, 1/4, 1
Let n(b) be the third derivative of -b**6/1080 - 62*b**5/135 - 15125*b**4/216 + 15625*b**3/27 + 506*b**2 - 3. Factor n(w).
-(w - 2)*(w + 125)**2/9
Let a(r) be the second derivative of 2*r**7/21 - 41*r**6/30 - 21*r**5/10 + 101*r**4/12 - 11*r**3/3 - 18*r + 10. Determine t, given that a(t) = 0.
-2, 0, 1/4, 1, 11
Let h = -27 - -79. Suppose 7*k - h = -17. Solve 0*n**2 + 0*n + 1/4*n**4 + 0 - 1/4*n**k + 1/2*n**3 = 0.
-1, 0, 2
Let d(m) = 7*m**3 - 117*m**2 + 310*m - 194. Let q(u) = u**3 - u**2 + 3. Let f(y) = d(y) - 2*q(y). Find t such that f(t) = 0.
1, 2, 20
Let q(t) be the third derivative of t**5/270 - 7*t**4/36 + 110*t**3/27 + 3*t**2 + 25*t. What is f in q(f) = 0?
10, 11
Let h(f) be the first derivative of -9*f - 69 - 15/2*f**2 + 3/4*f**4 - f**3. Determine d so that h(d) = 0.
-1, 3
Let j(x) = x**2 + 6*x + 2. Let s = -106 - -108. Let b(m) = -2*m + 2*m - m + 1. Let h(k) = s*b(k) + j(k). Solve h(d) = 0 for d.
-2
Let l = 8075/24216 + -1/8072. Let c(m) be the first derivative of -l*m**6 + 0*m**2 + 26/25*m**5 + 16 + 2/5*m**3 - 11/10*m**4 + 0*m. Factor c(o).
-2*o**2*(o - 1)**2*(5*o - 3)/5
Let t be (-8320)/286 - -29 - (-196)/704. Let x(f) be the first derivative of -t*f**2 + 1 + 0*f**5 + 0*f**3 - 1/16*f**6 + 3/16*f**4 + 0*f. What is a in x(a) = 0?
-1, 0, 1
Suppose 993 = -4*k - 551. Let f = 388 + k. Factor 2/3*h**f - 2*h + 4/3.
2*(h - 2)*(h - 1)/3
Find y, given that 0 + 2/5*y**3 + 1636/5*y**2 + 334562/5*y = 0.
-409, 0
Solve -144*x**2 - 2/3*x + 144 + 2/3*x**3 = 0 for x.
-1, 1, 216
Let c(q) = -613*q - 3909*q + 3540 + 1042*q - 95*q**2. Let x(z) = -8*z**2 - 290*z + 295. Let u(f) = 3*c(f) - 35*x(f). Let u(m) = 0. What is m?
-59, 1
Suppose 0 = -t + 3*n - 45, 90609 - 90654 = -3*n. Factor -2*p + t + 1/4*p**3 + 7/4*p**2.
p*(p - 1)*(p + 8)/4
Solve 354/7*v**3 - 8/7*v**5 + 446/7*v - 62/7*v**4 - 120/7 - 610/7*v**2 = 0.
-12, 1, 5/4
Let j be 15/30 + (-478)/(-4). Find l such that -22*l**4 - 4*l - 16 + 23*l**4 - 92*l**3 + 15*l**4 + j*l**2 - 24*l = 0.
-1/4, 1, 4
Factor 1/5*r**2 + 14/5*r - 19.
(r - 5)*(r + 19)/5
Let r(b) = 25*b**4 - 69*b**3 - 87*b**2 + 359*b - 216. Let h(s) = -21*s**4 + 69*s**3 + 85*s**2 - 358*s + 215. Let v(y) = -6*h(y) - 5*r(y). Factor v(p).
(p - 70)*(p - 1)**2*(p + 3)
Suppose -251*o = -246*o + 5*h + 55, -4*o = h + 5. Determine r so that -5/2 - 1/4*r**o + 7/4*r = 0.
2, 5
Let u be 0/(-1*(1 + 0)). Let a(j) be the second derivative of -5/12*j**4 + u - 11*j + 5/2*j**2 + 1/4*j**5 - 5/6*j**3. Suppose a(n) = 0. Calculate n.
-1, 1
Let u(r) be the second derivative of r**4/32 - 25*r**3/4 - 303*r**2/16 - 4*r + 65. Factor u(w).
3*(w - 101)*(w + 1)/8
Suppose 12 = 3*f - 3*v, 539 = 5*v + 529. Let x(a) be the third derivative of -1/60*a**4 + 1/300*a**f - 25*a**2 + 0*a + 0*a**3 + 0*a**5 + 0. Factor x(h).
2*h*(h - 1)*(h + 1)/5
Let q(s) be the third derivative of s**7