)/23
Find l such that 15*l**3 - 125*l**2 + 1875/2 - 1/2*l**5 + 7/2*l**4 - 125/2*l = 0.
-5, -3, 5
Let o(j) be the third derivative of -1/735*j**7 - 128/105*j**5 - 21 + 0*j**4 - 5*j**2 + 0*j - 8/105*j**6 + 0*j**3. Determine g, given that o(g) = 0.
-16, 0
Solve -2012/13*b**3 + 4374/13 - 2/13*b**5 + 118/13*b**4 - 810*b + 8052/13*b**2 = 0 for b.
1, 3, 27
Factor -3*v**4 + 240*v - 160*v**2 - 40*v**2 + 8*v**4 - 1411*v**3 + 1366*v**3.
5*v*(v - 12)*(v - 1)*(v + 4)
Let x(o) be the second derivative of 2/15*o**6 + 0*o**5 - 2*o**4 + 0 - 150*o + 16/3*o**3 - 6*o**2. Factor x(f).
4*(f - 1)**3*(f + 3)
Suppose 11*w + 238 = 33*w - 4. Let s(q) be the third derivative of 1/630*q**5 + 0 + 0*q - 1/84*q**4 + 0*q**3 + w*q**2. Find y, given that s(y) = 0.
0, 3
Let k = -64 + 79. Suppose 3*m - 2*y = y + k, -17 = -m + 4*y. Suppose -m - 10*g + 2*g**2 - 14*g + 23*g + 2*g**3 - g**4 - g**5 = 0. What is g?
-1, 1
Let f(a) be the third derivative of -a**6/120 - 137*a**5/60 + 1215*a**2. Factor f(n).
-n**2*(n + 137)
Let s = 1117/3 + -369. Let n(i) be the first derivative of -2*i**5 - 5/4*i**4 + 0*i**2 + 5/6*i**6 + s*i**3 + 0*i + 19. What is c in n(c) = 0?
-1, 0, 1, 2
Let t(u) be the second derivative of 3/2*u**2 + 2*u + 15 + 2/3*u**3 + 1/12*u**4. What is c in t(c) = 0?
-3, -1
Let h be (14/(-112))/((-371)/424)*(-60)/(-1 - 0). Factor 8 + 4/7*g**2 - h*g.
4*(g - 14)*(g - 1)/7
Let f = 10741 + -225511/21. Let -4/21 - 332/21*w**3 - f*w - 208/21*w**2 - 50/21*w**5 - 220/21*w**4 = 0. What is w?
-2, -1, -1/5
Let n(u) be the second derivative of 2*u**7/21 - 56*u**6/15 + 254*u**5/5 - 824*u**4/3 + 662*u**3 - 792*u**2 - 10320*u. Let n(y) = 0. What is y?
1, 3, 11, 12
Let c be 1*-4 + -82 + 32. Let w be 1 + c/66 - 20/352. Find h, given that -1/4 + 1/8*h**2 - w*h = 0.
-1, 2
Let k be (-122)/(-40) + 4/((-100)/75). Let o(b) be the second derivative of -1/12*b**4 - k*b**5 + 0 + 21*b + 2/3*b**3 + 2*b**2. Factor o(l).
-(l - 2)*(l + 1)*(l + 2)
Let z(q) = -6*q + 112. Let h be z(18). Suppose -16*f**4 + 8*f - 6*f**2 - 6*f**3 + 8*f**5 + 12*f**h - 26*f**2 + 26*f**4 = 0. Calculate f.
-2, 0, 1/4, 1
Let v = -391 - -407. Factor 10*d + 2*d + v - 3 - 5 - 4*d**3.
-4*(d - 2)*(d + 1)**2
Suppose -2*a + 0*a - 5*a = 4*a. Let f(v) be the second derivative of 0*v**2 - 1/4*v**4 - 2*v**3 - 37*v + a. Find d such that f(d) = 0.
-4, 0
Let y(x) be the second derivative of x**7/315 + 14*x**6/45 + 371*x**5/75 - 8266*x**4/45 + 14309*x**3/9 - 16810*x**2/3 - 444*x - 2. Solve y(v) = 0.
-41, 2, 5
Let x(g) be the second derivative of -g**3/3 - 19*g**2 + 311*g. Let i be x(-19). Factor 1/2*n**2 - 3/2*n + i.
n*(n - 3)/2
Let u(r) be the third derivative of -r**5/60 - 7*r**4/24 - r**3 + 12*r**2. Let v be u(-5). Solve 21*q - 6*q**2 - 3*q**4 + 6*q**3 + q**v - 19*q = 0 for q.
0, 1
Let a = 666529/3 - 222167. Find c, given that 2/3*c**2 + a - 10*c = 0.
1, 14
Let f(p) be the third derivative of p**6/240 - 311*p**5/60 + 95465*p**4/48 + 97969*p**3/3 + 4503*p**2. Factor f(u).
(u - 313)**2*(u + 4)/2
Suppose -798 = -37*v - 798. Let t(u) be the third derivative of 0 + 1/150*u**5 - 2/5*u**3 + v*u + 15*u**2 + 1/60*u**4. Factor t(d).
2*(d - 2)*(d + 3)/5
Let t(k) = k**2 - 24*k - 130. Let l be t(29). Determine g, given that 35*g**3 - l*g**5 + 13 + 48*g - 39*g**2 - 68*g**3 + 51*g**4 - 25 = 0.
-1, 2/5, 1, 2
Let s(n) be the third derivative of 1/3*n**6 + 0 - 35/6*n**3 + 23*n**2 + 1/42*n**7 + 1/2*n**5 + 0*n - 5/3*n**4. Suppose s(l) = 0. What is l?
-7, -1, 1
Let b(m) be the first derivative of m**4/6 - 100*m**3/3 + 2500*m**2 + 171*m + 154. Let l(g) be the first derivative of b(g). Find z, given that l(z) = 0.
50
Let a be (0 - 0)/(-218 + 208). Let k(d) be the third derivative of 1/140*d**5 + 0*d**4 + a*d + 1/840*d**6 + 0*d**3 + 0 + 3*d**2. Solve k(o) = 0 for o.
-3, 0
Solve 0 - 223/6*r + 112/3*r**2 - 1/6*r**3 = 0 for r.
0, 1, 223
Suppose 448 - 863 = -83*a. Let z(g) be the third derivative of 0*g**3 - 1/180*g**6 - 1/9*g**4 + 0 + 0*g + 1/18*g**a - 19*g**2. Factor z(c).
-2*c*(c - 4)*(c - 1)/3
Let o(w) be the first derivative of -w**6/432 + 13*w**5/144 - 5*w**4/12 + 4*w**3 + w**2 + 81. Let z(i) be the third derivative of o(i). Solve z(p) = 0.
1, 12
Factor -32/3*j**2 + 31 - 1/6*j**3 - 121/6*j.
-(j - 1)*(j + 3)*(j + 62)/6
Let -5/6*i**2 - 5/6*i - 1/6*i**4 + 1 + 5/6*i**3 = 0. Calculate i.
-1, 1, 2, 3
Let h(u) be the first derivative of -u**9/22680 + u**7/1260 - u**5/225 - u**3/3 - 83*u + 93. Let s(p) be the third derivative of h(p). What is k in s(k) = 0?
-2, -1, 0, 1, 2
Suppose 0 = -d - 5*x - 18, 0 = d - 2*x - 11 + 1. Let t be 3*d - 640/120. Let -t*c + 0 + 2/3*c**2 = 0. Calculate c.
0, 1
Let n(x) be the third derivative of -x**5/15 - 23*x**4/6 - 44*x**3/3 + 2782*x**2. Factor n(y).
-4*(y + 1)*(y + 22)
Let p be ((-2)/8)/(-1) + 0. Suppose -128 = -31*w - 18 - 48. Solve -1/2*z + p*z**3 - 3/4*z**4 + 0 + 3/4*z**w + 1/4*z**5 = 0 for z.
-1, 0, 1, 2
Suppose 275*d - 282*d + 14 = 0. Factor -y**3 + 2*y**2 + 28*y - d*y**3 - 21*y**2 + 38*y - 8*y**2.
-3*y*(y - 2)*(y + 11)
Factor 5 - 441*d**3 - 44*d**2 + 24*d + 9*d**2 + 447*d**3.
(d - 5)*(d - 1)*(6*d + 1)
Let b(z) be the second derivative of 1/10*z**5 - 1/3*z**3 + 1/2*z**2 + 1 - 116*z - 1/12*z**4. Factor b(c).
(c - 1)*(c + 1)*(2*c - 1)
Suppose -1/5*d**5 + 16/5*d**4 + 0 + 52/5*d - 39/5*d**3 - 4/5*d**2 = 0. Calculate d.
-1, 0, 2, 13
Let a be 6*1 + (29640/(-4384) - -1). Let x = 3/274 + a. Factor x*h**2 + 1/2*h + 0.
h*(h + 2)/4
Factor -187/7*l**2 - 5915 - 1/7*l**3 - 1313*l.
-(l + 5)*(l + 91)**2/7
Factor 432/5 - 21/5*v - 3/5*v**2.
-3*(v - 9)*(v + 16)/5
Let g = -16339 + 65371/4. Solve 39/8*j - g*j**2 - 9/8 = 0 for j.
3/10, 1
Let m(q) be the third derivative of q**8/56 + 11*q**7/105 - 341*q**6/180 - 79*q**5/30 - 10*q**4/9 - 5216*q**2. Find t, given that m(t) = 0.
-8, -1/3, 0, 5
Let p(m) = -7*m + 55. Let o be p(7). Find s such that -18*s - 10*s + o*s - 30*s**2 + 40 + 5*s**3 + 2*s + 5*s**4 = 0.
-2, 1, 2
Let c(m) = 102*m**2 - 114*m + 10. Let v(b) = -31*b**2 + 39*b - 3. Let o(h) = 3*c(h) + 10*v(h). Factor o(f).
-4*f*(f - 12)
Let a(h) be the first derivative of -52*h**2 - 150 - 19/3*h**3 - 1/4*h**4 - 176*h. Find d such that a(d) = 0.
-11, -4
Let n be -8 + 744/92 + 52036/3588. Let r = 194/13 - n. Find o, given that -2/3 - r*o**2 - o = 0.
-2, -1
Let t(c) be the third derivative of 0*c**3 + 36*c**2 - 8/105*c**7 + 0*c + 2 + 0*c**4 + 1/15*c**5 - 1/20*c**6 - 1/56*c**8. Suppose t(f) = 0. What is f?
-2, -1, 0, 1/3
Suppose -12 = 3*i, -5*o + 4*i + 13 = -3. Suppose -5*w - 3*x = -4 - 32, 4*w - x - 22 = o. Factor -3*k**4 + 6*k - w*k - 4*k - 2*k + 9*k**2.
-3*k*(k - 1)**2*(k + 2)
Let t(z) be the third derivative of -z**5/48 + 35*z**4/96 - 5*z**3/2 - 1053*z**2. Suppose t(b) = 0. What is b?
3, 4
Suppose 0 = 20*t - 2 - 38. Let u = -2 + 2. Solve 21*v**3 - 6*v**t - 4*v**2 + 4*v**3 + 5*v**5 - 20*v**4 + u*v**2 = 0 for v.
0, 1, 2
Let j(f) = f**3 + 33*f**2 - 47*f - 58. Let w be j(-34). Let c = -384 + w. Factor 0*k - 3/4*k**3 - 3/4*k**4 + 0 + c*k**2.
-3*k**3*(k + 1)/4
Let i(t) = -9*t**2 + 64*t. Let s(n) = -2*n + 7. Let y(o) = -4*i(o) - 4*s(o). Suppose y(m) = 0. What is m?
-1/9, 7
Let w = -139725 + 139727. Factor 144*p**3 + 4394/3 + 936*p**w + 2028*p.
2*(6*p + 13)**3/3
Let o(l) be the third derivative of -1/180*l**5 - 1/315*l**7 + 0*l**3 - 1/144*l**6 + 0 + 16*l**2 + 0*l - 1/2016*l**8 + 0*l**4. Factor o(f).
-f**2*(f + 1)**2*(f + 2)/6
Let h(b) = 29*b**2 + 7*b - 11. Let x = -10 + 12. Let o(k) = 3 + 4*k - 3 - 2 + 15*k**x - 4. Let d(u) = -6*h(u) + 11*o(u). Factor d(y).
-y*(9*y - 2)
Let a be (-120)/36*(-4704)/1960. Solve -4/3*r**3 - 2/3*r**4 + a*r**2 + 10/3 - 28/3*r = 0 for r.
-5, 1
Let d(q) = -44*q**2 - 6950*q + 6958. Let z(l) = 19*l**2 + 3475*l - 3478. Let t(x) = 4*d(x) + 9*z(x). Suppose t(r) = 0. Calculate r.
1, 694
Let f = -141/2 - -72. Suppose y = -2*c + 5, 3*c + 97*y - 8 = 95*y. Factor f*n + c*n**2 + 1/2*n**3 + 0.
n*(n + 1)*(n + 3)/2
Find g, given that -g**4 - 18*g**2 + 36*g + 3*g**3 - 27*g**3 + 19*g**2 - 16*g**3 + 4*g**3 = 0.
-36, -1, 0, 1
Let i(n) be the first derivative of 0*n**2 + 0*n + 1/26*n**4 - 22/13*n**3 - 32. Suppose i(t) = 0. What is t?
0, 33
Let b(m) be the second derivative of m**7/105 - 3*m**6/25 + 14*m**5/25 - 6*m**4/5 + 16*m**3/15 - 50*m + 2. Let b(h) = 0. What is h?
0, 1, 2, 4
Suppose 16*y - 335 = 97. What is o in -o**2 - 3*o**3 + 28*o**4 - o**5 + 4*o**3 -