 n(k) = 11*k**5 - 95*k**4 + 384*k**3 - 580*k**2 + 286*k + 6. Let m(g) = g**5 - g**3 + g + 1. Let b(v) = 6*m(v) - n(v). Determine j so that b(j) = 0.
0, 1, 2, 14
Let u(t) be the second derivative of t**6/180 - t**5/30 + 29*t**3/6 + 8*t. Let b(a) be the second derivative of u(a). Suppose b(q) = 0. What is q?
0, 2
Suppose -4*q = -5*y + 66, -3*y - 2*y - q + 46 = 0. Let -127*w + 142*w - 5*w**2 + 0*w**2 - y = 0. Calculate w.
1, 2
Let m(x) = -10*x + 10. Let s be (1 - 0)/((-5)/(-5)). Let h be m(s). Let 0 + 3/2*z**5 + 3*z**3 - 4*z**4 + h*z**2 - 1/2*z = 0. What is z?
-1/3, 0, 1
Let x be 16/(-6) + 4 + 12 + -13. Factor 5/3 - 2*q + x*q**2.
(q - 5)*(q - 1)/3
Let p = 390 - 386. Let n(h) be the first derivative of 0*h - 2 + 0*h**2 - 3*h**4 - p*h**3 - 3/5*h**5. Factor n(l).
-3*l**2*(l + 2)**2
Let j(b) be the third derivative of 2*b**7/525 - 19*b**6/75 + 168*b**5/25 - 432*b**4/5 + 2304*b**3/5 - 34*b**2. Solve j(g) = 0 for g.
2, 12
Let b(o) = 9*o**2 - o - 1. Let k be b(-1). Suppose k = 4*f - 3. Let f + 5 - 75*g**2 + 70*g**3 - 18*g**2 + 15*g**2 = 0. Calculate g.
-2/7, 2/5, 1
Let k(s) be the third derivative of s**6/840 + s**5/140 - s**3 + 13*s**2. Let b(c) be the first derivative of k(c). Let b(d) = 0. What is d?
-2, 0
Let x(m) be the first derivative of -9*m**4/2 - 814*m**3 + 1640*m**2 - 1096*m - 620. Factor x(c).
-2*(c + 137)*(3*c - 2)**2
Let u(r) be the first derivative of 10*r**3/27 + 2*r**2/3 + 2*r/9 + 28. Factor u(c).
2*(c + 1)*(5*c + 1)/9
Let z = -36 - -22. Let t(l) = 9*l**5 - 25*l**4 + 44*l**3 + 7*l**2 - 64*l. Let g(h) = h**5 - h**4 + h**2. Let a(v) = z*g(v) + 2*t(v). Find c such that a(c) = 0.
-1, 0, 2, 4
Let p(g) be the third derivative of g**6/2 - 79*g**5/12 + 215*g**4/24 - 5*g**3 + 21*g**2 - 2. Factor p(x).
5*(x - 6)*(3*x - 1)*(4*x - 1)
Let w = -12545/7 + 1797. Solve -12/7 - 10/7*m**2 - w*m = 0.
-3, -2/5
Let d(t) = -79*t - 2605. Let o be d(-33). Solve 8/15 + 98/15*c**o + 56/15*c = 0.
-2/7
Let d = -123 - -2953/24. Let q(c) be the second derivative of -3*c + 1/12*c**3 + 0 - d*c**4 + 0*c**2. Solve q(u) = 0.
0, 1
Let x = 1852 + -1848. Let t(o) be the third derivative of -1/330*o**5 + 2*o**2 + 0 + 0*o**3 - 1/132*o**x + 0*o. Factor t(k).
-2*k*(k + 1)/11
Let f(t) be the first derivative of 2*t**2 - 25 + 0*t + 2/9*t**3. Determine u so that f(u) = 0.
-6, 0
Suppose -5*b = -0*b - 100. Suppose r - 5*r + b = 0. Factor -53*w**2 - 14*w**3 - 12*w**2 - 1 - r*w**4 + 60*w + 44*w**3 - 19.
-5*(w - 2)**2*(w - 1)**2
Let i(d) be the second derivative of 4*d**6/225 - d**5/6 + 7*d**4/15 - d**3/5 - 93*d. Factor i(c).
2*c*(c - 3)**2*(4*c - 1)/15
Let x(a) be the third derivative of -a**7/735 - 2*a**6/15 - 56*a**5/15 + 364*a**2. Factor x(l).
-2*l**2*(l + 28)**2/7
Suppose 3*u - 24 = -18. Let l be 3/(-18) - (-341)/462. Factor -5/7*w**u + 1/7*w**3 - l + 8/7*w.
(w - 2)**2*(w - 1)/7
Let w(j) be the first derivative of -j**5/240 - j**4/8 - 3*j**3/2 + 12*j**2 - 13. Let p(v) be the second derivative of w(v). Factor p(q).
-(q + 6)**2/4
Find g, given that -936*g**2 - 667*g**2 + 2598*g**3 - 104*g**4 + 7115*g**2 + 2809*g + g**5 = 0.
-1, 0, 53
Let k be (10/55)/(370/55 + -6). Factor 1 - r + k*r**2.
(r - 2)**2/4
Let t(a) = -a**2 - 18*a + 117. Let q be t(5). Let h(c) be the third derivative of 0*c + 3/20*c**5 + 1/2*c**3 + 4*c**q + 1/2*c**4 + 0. Factor h(l).
3*(l + 1)*(3*l + 1)
Let j(n) be the third derivative of n**5/240 - 5*n**4/2 + 600*n**3 - 2*n**2 - 145*n. Factor j(h).
(h - 120)**2/4
Let l be 52/78 - (-23)/(-21). Let a = l - -16/21. What is o in 4/3*o + 4/3*o**4 - 1/3*o**3 + 8/3 - 10/3*o**2 - a*o**5 = 0?
-1, 2
Let h(j) be the first derivative of j**8/3780 - j**7/630 + j**6/270 - j**5/270 + 8*j**3/3 + 6. Let l(n) be the third derivative of h(n). Solve l(s) = 0 for s.
0, 1
Let -93*h**5 - 153*h**5 - 354 - 330*h**5 - 2652*h**3 + 17960*h**4 + 3723*h + 16072*h**4 - 10683*h**2 = 0. What is h?
-2/3, 1/4, 59
Factor -80 + 15*s**2 - 232*s - 3761*s**3 + 3779*s**3 - 171*s**2.
2*(s - 10)*(3*s + 2)**2
Let c(u) be the second derivative of u**8/1344 + u**7/168 + u**6/48 + u**5/24 + 10*u**4/3 - 34*u. Let o(k) be the third derivative of c(k). Factor o(v).
5*(v + 1)**3
Let d(y) be the second derivative of 5*y**7/42 - y**6 + 13*y**5/4 - 5*y**4 + 10*y**3/3 - 93*y + 2. Factor d(c).
5*c*(c - 2)**2*(c - 1)**2
Let u = 20179/6 - 3351. Let z = 523/42 - u. Factor -10/7*b**3 - z*b**4 + 8/7*b - 12/7*b**2 + 16/7.
-2*(b - 1)*(b + 2)**3/7
Factor -10*v**4 - 2*v**4 + v**2 + 13*v**4 + 3*v**3 - 3*v - 2.
(v - 1)*(v + 1)**2*(v + 2)
Let l be 0 + -10 + (-2240)/(-210). Factor 2/3*n**2 - l*n + 0.
2*n*(n - 1)/3
Let x = -5497/2 - -2749. Factor -b**3 + 1/2 + 0*b**2 + b - x*b**4.
-(b - 1)*(b + 1)**3/2
Suppose 0 = 2*f - f. Suppose f = -3*d - 6, 3 = 3*u - d - 2. What is z in 0*z + z**2 - z + 3*z + u = 0?
-1
Let p = -515 - -518. Let i(g) be the second derivative of -5*g + 0 - 1/2*g**p - 1/4*g**4 + 0*g**2. Factor i(h).
-3*h*(h + 1)
Let i(b) be the third derivative of -b**6/24 + 23*b**5/6 - 1015*b**4/8 + 1470*b**3 + 512*b**2. Factor i(n).
-5*(n - 21)**2*(n - 4)
Let y = -19 - -24. Factor -10*c**2 + 4*c**y + c**5 - 8*c + 3*c + 10*c**4.
5*c*(c - 1)*(c + 1)**3
Let x(v) = 75*v**3 + 428*v**2 - 1388*v + 480. Let s(h) = 50*h**3 + 285*h**2 - 925*h + 320. Let y(j) = 8*s(j) - 5*x(j). Factor y(c).
5*(c - 2)*(c + 8)*(5*c - 2)
Let m(d) = -5*d - d**2 - 6*d + 17 + 6*d. Let c be m(-7). Factor 2/5*v**c + 2/5*v**2 + 0 - 4/5*v.
2*v*(v - 1)*(v + 2)/5
Suppose -42 = -2*u - 5*b, 0*u + 5*b = u - 6. Suppose 4*i - u = -5*l, 4 = 6*l - 4*l + i. Determine h so that 4*h**3 + l*h**2 - 3*h - 3 - h**3 + 3*h**2 = 0.
-1, 1
Factor -64/13*d + 32/13*d**2 - 18/13.
2*(4*d - 9)*(4*d + 1)/13
Suppose 5*r = r - 20. Let v be -6 - (r - -2) - (-22)/7. Find s, given that 2/7*s**2 - v*s**3 + 0 + 0*s = 0.
0, 2
Let l(b) be the first derivative of -b**3/7 + 27*b**2/14 + 30*b/7 - 66. Factor l(g).
-3*(g - 10)*(g + 1)/7
Let g(l) be the third derivative of l**8/80640 + l**7/2016 + 7*l**5/20 + 25*l**2. Let d(h) be the third derivative of g(h). Determine p so that d(p) = 0.
-10, 0
Solve 16562 + 115*u + 46*u + 2*u**2 + 185*u + 18*u = 0.
-91
Factor 1/4*i**2 + 33/4*i + 0.
i*(i + 33)/4
Let s(b) be the third derivative of -5/3*b**4 - 1/15*b**5 - 50/3*b**3 + 0*b + 33*b**2 + 0. Factor s(m).
-4*(m + 5)**2
Suppose 3*b = 6*b - 54. Suppose 11*v + b = 17*v. Determine z, given that -4/5*z**2 + 4/5 + 2/5*z**v - 2/5*z = 0.
-1, 1, 2
Suppose -5*i + 25 = 0, -q - 2*i + 7*i = 22. Let x = q + -3. Solve 3/4*f**2 + x + 0*f = 0.
0
Let x(i) be the second derivative of i**9/60480 - i**8/5376 + i**7/2520 + 3*i**4/2 - 40*i. Let c(g) be the third derivative of x(g). Find d such that c(d) = 0.
0, 1, 4
Find y, given that 2/7*y**2 + 1112/7*y + 154568/7 = 0.
-278
Let o(l) be the second derivative of 1/36*l**4 + 0*l**3 - l**2 + 1/90*l**5 + 0 - 7*l. Let s(x) be the first derivative of o(x). What is y in s(y) = 0?
-1, 0
Let p(b) be the second derivative of b**4/96 - 11*b**3/48 + 9*b**2/8 + 68*b. Factor p(m).
(m - 9)*(m - 2)/8
Let l be 2/(-3) - (91/21 + -2). Let u(k) = -k**2 - 9*k - 14. Let s be u(l). Find o such that 1/2 - o**3 + 3/2*o**s + o - 2*o**2 = 0.
-1, -1/3, 1
Let t = 425/4 + -106. Let o = -11/4 + 4. Suppose u**5 - o*u - 2*u**4 + 7/4*u**2 + 1/4 + t*u**3 = 0. Calculate u.
-1, 1/2, 1
Suppose 5*q = -5*n + 50, 198*n - 193*n = -3*q + 40. Factor 8/7*a**3 + 0*a + 4/7*a**4 + 0 + 0*a**2 - 4/7*a**n.
-4*a**3*(a - 2)*(a + 1)/7
Let f = 24310 + -24308. Let -56/5*a**3 + 57/5*a**f - 18/5*a + 0 + 16/5*a**4 = 0. What is a?
0, 3/4, 2
Suppose 5*z = 9*z - 3*m - 15, -20 = z + 4*m. Suppose z + 4/5*f**3 - 12/5*f**4 + 0*f - 4/5*f**5 + 12/5*f**2 = 0. What is f?
-3, -1, 0, 1
Let f(v) be the third derivative of -v**8/60480 - v**7/7560 - v**6/2160 - 9*v**5/20 + 27*v**2. Let u(c) be the third derivative of f(c). Factor u(l).
-(l + 1)**2/3
Let b be 1 + (((-28)/(-12))/7 - (-20)/(-24)). Factor -1/3 + 1/2*v**3 + 1/6*v**4 - b*v + 1/6*v**2.
(v - 1)*(v + 1)**2*(v + 2)/6
Factor 39/2*t - 3/8*t**3 + 27/2 + 45/8*t**2.
-3*(t - 18)*(t + 1)*(t + 2)/8
Determine u so that 12*u - 9*u**2 + 6 + 0 + 2 - 11 = 0.
1/3, 1
Suppose -2*o - 2 = 0, 13 + 0 = 5*q + 2*o. Solve 110*y**4 - 134*y**4 + 9*y**5 + q*y**5 + 15*y**2 - 9*y**3 + 6*y = 0.
-1/2, 0, 1, 2
Let x(t) = 94*t - 15. Let h be x(7). Factor w - h*w**2 + 4*w + 638*w**2.
-5*w*(w - 1)
Let s(m) be the first derivative of 0*m**2 +