 0. What is b?
-1, 1/49, 2
Let g(y) be the third derivative of -41*y**6/105 + 29*y**5/35 - 5*y**4/42 + 2917*y**2. Suppose g(f) = 0. Calculate f.
0, 5/82, 1
Let x(o) = -3*o - 41. Let d(a) = -a - 14. Let u(q) = 17*d(q) - 6*x(q). Let g be u(-5). Factor -18*p**2 - p**3 + 3*p**g + 2*p**4 + 18*p**2.
2*p**3*(p + 1)
Let g be 16/(-6)*9/(-2). Let v(u) be the first derivative of u**3/3 - 290. Let p(i) = -5*i**2 - 2*i. Let l(k) = g*v(k) + 3*p(k). Factor l(b).
-3*b*(b + 2)
Let w(l) be the first derivative of l**4 - 192*l**3 + 568*l**2 + 6189. Find a, given that w(a) = 0.
0, 2, 142
Factor -1/3*n**3 - 224/3*n**2 - 445/3*n - 74.
-(n + 1)**2*(n + 222)/3
Let d(t) be the second derivative of -t**4/6 - 25*t**3/3 + 264*t**2 + 1040*t. Determine y so that d(y) = 0.
-33, 8
Let d(h) be the first derivative of h**5/5 + h**4/3 - 4*h**3/3 + 204*h - 62. Let v(m) be the first derivative of d(m). Factor v(y).
4*y*(y - 1)*(y + 2)
Suppose -115*h + 57 + 269 = 48*h. Let c(d) be the second derivative of -28*d + 4/9*d**4 + 0 - 1/30*d**5 + 0*d**h - 16/9*d**3. Find u such that c(u) = 0.
0, 4
Let t(y) = -15*y**2 - 655*y - 1129. Let o(b) = 8*b**2 + 328*b + 558. Let l(m) = -22*o(m) - 12*t(m). Factor l(d).
4*(d + 2)*(d + 159)
Let o(d) = 2*d**2 - 5*d - 337. Let t be o(0). Let r = t + 340. Determine x, given that -216/5*x**r + 48/5*x**4 + 291/5*x**2 - 108/5*x + 12/5 = 0.
1/4, 2
Determine v, given that -75/2*v**4 - 135/2 + 951/4*v + 351/2*v**3 + 3/4*v**5 - 309*v**2 = 0.
1, 2, 45
Let h(r) = -5*r**2 - 282*r - 3024. Let x be h(-42). Factor -1156*z**2 - 1/5*z**5 - 4913/5*z - 52/5*z**4 - 918/5*z**3 + x.
-z*(z + 1)*(z + 17)**3/5
Let s = 255 - 255. Suppose -24*u - 4*u**2 + 34 + 2*u**2 + s*u**2 - 106 = 0. What is u?
-6
Let g be 5 + 0 + 10721/(-4228) + 12/(-56). Find y, given that 0 - 3/2*y - g*y**4 + 3*y**3 + 3/4*y**2 = 0.
-2/3, 0, 1
Let g be (36 - 1)*82/287. Let b(f) be the first derivative of 6*f - 1/2*f**3 - g - 4*f**2. Factor b(u).
-(u + 6)*(3*u - 2)/2
Suppose -v + 0*t - t = -5, 0 = 2*v + 3*t - 15. Factor -3*g**2 + g**2 + v*g**2 - 7 + 9.
-2*(g - 1)*(g + 1)
Find l, given that -27*l**3 + 49719*l**2 - 150 - 508*l + 314*l - 421*l - 49455*l**2 = 0.
-2/9, 5
Let r be 6/9 + (-1650)/(-1125). Let f(c) = 2*c - 24. Let g be f(13). Factor -16/15*y + 2/15*y**g + r.
2*(y - 4)**2/15
Let x be 22 + (-264)/(-550)*-45. Factor 0 + 54/5*d**2 - 54/5*d - 18/5*d**3 + x*d**4.
2*d*(d - 3)**3/5
Let n(q) be the first derivative of -4*q**3/3 + 208*q**2 - 412*q - 1623. Factor n(t).
-4*(t - 103)*(t - 1)
Suppose -1/3*k**2 + 5*k + 72 = 0. What is k?
-9, 24
Solve -55*f**2 + 3505 - 3545 - 8*f**4 + 90*f + 13*f**4 = 0.
-4, 1, 2
Factor -2/3*o**4 - 178/3*o**2 + 0 - 88/3*o - 92/3*o**3.
-2*o*(o + 1)**2*(o + 44)/3
Let w(v) be the first derivative of 4/35*v**5 + 2/21*v**3 + 1/42*v**6 + 5/28*v**4 + 0*v + 0*v**2 + 32. Solve w(x) = 0.
-2, -1, 0
Let c = -441257 - -4853841/11. Factor c*x**2 + 0 - 12/11*x**3 - 2/11*x**4 + 0*x.
-2*x**2*(x - 1)*(x + 7)/11
What is p in -98 + 38*p - 44*p**2 + 202*p + 98 + 2*p**3 = 0?
0, 10, 12
Suppose -8 = 3*s - 32. Let d be 0 + (-2)/s - 234/(-104). Find m such that -3*m**2 + 9*m**2 - 20*m**5 + m - 8*m**d + 41*m**4 + m**2 - 21*m**3 = 0.
-1/5, 0, 1/4, 1
Let y(p) = 101*p - 33. Let u be y(-5). Let h = u - -2694/5. Suppose 0*a + 4/5*a**2 + 0 - h*a**3 = 0. What is a?
0, 1
Let c be 10 + (-1280)/130 - (-48)/26. Factor 6*o**c + 4*o**2 - 20*o + 16 - 6*o**2.
4*(o - 4)*(o - 1)
Suppose 2*z + 4*x - 3 = 5*x, -x - 1 = 0. Let t be z + -3 - 11/(33/(-12)). Solve -9/4*v**t - 39/4*v**3 - 3*v**4 + 12*v + 3 = 0 for v.
-2, -1/4, 1
Let x(f) be the second derivative of 5/12*f**4 + 0 + 0*f**2 - 1/20*f**5 - 27*f + 0*f**3. Factor x(m).
-m**2*(m - 5)
Let j be (-247)/(-133) - ((-35)/(-14) - (561/14)/17). Factor -16/7 - 4/7*b**2 + 32/7*b - j*b**3.
-4*(b - 1)*(b + 2)*(3*b - 2)/7
Let b = -9290/23 - -404. Suppose -20/23*l + b*l**2 + 32/23 = 0. What is l?
2, 8
Let c = -114 - -107. Let i(m) = 23*m**3 + 671*m**2 + 6713*m - 3521. Let h(j) = -12*j**3 - 336*j**2 - 3356*j + 1760. Let p(y) = c*h(y) - 4*i(y). Factor p(v).
-4*(v + 21)**2*(2*v - 1)
Let o be 244/5490 + (-221)/(-90). Factor -125/2*w**2 + 0 + 0*w + 25*w**3 - o*w**4.
-5*w**2*(w - 5)**2/2
Let i(s) = 2*s**2 - 308*s + 664. Let o(m) = 4*m**2 - 657*m + 1330. Let c(l) = 5*i(l) - 2*o(l). Solve c(x) = 0.
3, 110
Suppose 0 = 33*s - 12080 - 63655. Let p = s + -2293. Factor -3/2*g + 3/2*g**3 - 3/2*g**p + 3/2.
3*(g - 1)**2*(g + 1)/2
Let r be (-55 + (-7014)/(-126))/((-1)/(-3)). Factor 4*z**r - 16/5*z**3 + 4/5*z**4 - 8/5*z + 0.
4*z*(z - 2)*(z - 1)**2/5
Let l(b) be the third derivative of 4*b**7/735 - b**6/84 + b**5/210 + 759*b**2. Suppose l(d) = 0. What is d?
0, 1/4, 1
Let s(c) = 2*c**4 - 3347*c**3 - 3*c**2 - 3*c. Let a(z) = 8*z**4 - 16734*z**3 - 14*z**2 - 14*z. Let m(i) = 3*a(i) - 14*s(i). Factor m(b).
-4*b**3*(b + 836)
Let m(f) be the first derivative of 2*f**5/5 - 3*f**4 + 6*f**3 + 4*f**2 - 24*f + 3201. Let m(g) = 0. What is g?
-1, 2, 3
Let b(h) be the first derivative of 1/9*h**3 - 16/3*h**2 + 84 + 256/3*h. Let b(p) = 0. Calculate p.
16
Let r(b) = 4*b**5 - 44*b**4 + 288*b**3 + 28*b**2 - 872*b - 600. Let u(t) = t**4 + 6*t**3 + t**2 - t. Let g(o) = r(o) - 12*u(o). Suppose g(d) = 0. What is d?
-1, 5, 6
Let p = 396 - 393. Let t(r) be the first derivative of -3*r + 1/2*r**p - 3/4*r**2 - 17. Solve t(q) = 0.
-1, 2
Find j, given that -62/7*j**2 + 22/7*j**3 + 0 - 2/7*j**4 + 6*j = 0.
0, 1, 3, 7
Factor 1/4*y**2 - 15/4*y - 77/2.
(y - 22)*(y + 7)/4
Let i(j) be the first derivative of 11/18*j**3 + 1/30*j**5 + 0*j - 7/24*j**4 - 5/12*j**2 - 39. Solve i(b) = 0.
0, 1, 5
Let r(n) = -2*n**3 + n - 1. Let s(o) = 13*o + 26 + 8*o**2 + 6*o**3 + 4*o**3 + 4*o**3 + 2*o**3 + o**3. Let q(i) = -24*r(i) - 3*s(i). Factor q(t).
-3*(t + 2)*(t + 3)**2
Factor -2872/7*n + 958/7 - 6/7*n**2.
-2*(n + 479)*(3*n - 1)/7
Suppose -3*p = p - x - 188, 196 = 4*p + x. Let i be ((-81)/30 - -3)*p/18. What is j in 0 - 2/5*j**3 + 6/5*j**2 - i*j = 0?
0, 1, 2
Let k = 4482 - 1707644/381. Let f = 3058/1905 + k. Solve -2/5*z**3 - f - 12/5*z**2 - 18/5*z = 0 for z.
-4, -1
Let u(c) = -11152 - c + c**3 - c**2 + 11152. Let q be u(0). Factor 3/11*l**2 + q - 1/11*l + 1/11*l**4 - 3/11*l**3.
l*(l - 1)**3/11
Let h(z) be the first derivative of -2/3*z**2 - 1/36*z**4 - 2/9*z**3 + 12*z + 22. Let f(o) be the first derivative of h(o). Suppose f(k) = 0. Calculate k.
-2
Let p(b) = b + 88. Let g be p(-23). Determine o, given that -5*o**3 - 10 + 10*o**2 + 69*o - 129*o + g*o = 0.
-1, 1, 2
Let g(s) be the first derivative of s**7/210 - s**6/12 + 3*s**5/20 - 63*s**2/2 + 10. Let y(b) be the second derivative of g(b). Let y(a) = 0. What is a?
0, 1, 9
Let y(j) = -j**4 + 11*j**3 + 49*j**2 + 69*j + 18. Let t(m) = 2*m**4 - 9*m**3 - 50*m**2 - 69*m - 18. Let s(r) = -7*t(r) - 6*y(r). Suppose s(a) = 0. What is a?
-2, -1, -3/8, 3
Let w(i) = -i**3 + 9*i**2 + 30*i + 41. Let l be w(15). Let g = l + 4319/5. What is u in -2/5*u**2 + g*u - 72/5 = 0?
6
Let t(d) be the first derivative of -16/3*d**3 - 8/5*d**5 + 0*d - 136 - 10*d**2 + 11*d**4. Factor t(c).
-4*c*(c - 5)*(c - 1)*(2*c + 1)
Let r = 1658 + -955. Let h = 7735/11 - r. Factor -4/11 - 8/11*t**2 + 10/11*t + h*t**3.
2*(t - 2)*(t - 1)**2/11
Factor -24 + 1836*s + 20*s**2 + 1870*s - 3710*s.
4*(s + 1)*(5*s - 6)
Let u(v) be the third derivative of v**6/480 + 13*v**5/30 + 207*v**4/8 - 486*v**3 + 9*v**2 - 37. Factor u(n).
(n - 4)*(n + 54)**2/4
Let y = 2575/15468 - -1/5156. Let f(h) be the second derivative of 3/56*h**7 + 6*h + 1/24*h**3 + 0 + 11/40*h**5 - y*h**4 - 1/5*h**6 + 0*h**2. Factor f(w).
w*(w - 1)**2*(3*w - 1)**2/4
Let o(k) = -7*k**4 - 405*k**3 - 1125*k**2 - 1111*k - 304. Let u(s) = -2*s**4 - 135*s**3 - 375*s**2 - 371*s - 99. Let n(p) = -3*o(p) + 8*u(p). Factor n(m).
5*(m + 1)**3*(m + 24)
Let n = 1212 - 1210. Let m be (-2 - -3 - -2) + 2. Factor y**n + y + m*y + 11 - 11.
y*(y + 6)
Let d(b) = 5*b + 5*b - 2 - 9*b. Let l be d(6). Factor -4 - c + 2 + l + c**2 - 4.
(c - 2)*(c + 1)
Suppose 22*t = 6*t + 1920. Let j = -118 + t. Factor 6*p + 15*p + 3 - 28*p**2 + 27*p**3 + 35*p**2 + 38*p**j.
3*(p + 1)*(3*p + 1)**2
Let a(f) = f**3 + 77*f**2 - 326*f - 162. Let q be a(-81). Let u = 156/7 + -22. Factor u*i**2 + 12/7*i + q.
2*i*(i + 6)/7
Let r(v) be the second derivative of -v**5/130 - v**4/26 + 2694*v. Factor r(f).
-2*f**2*(f + 3)/13
Let w be 326/77 - (-10