5/6*t**3. Let x(q) be the first derivative of i(q). Find j, given that x(j) = 0.
-1, 0
Let l be 11/(143/1651) + 1*-1. Factor 74*j**2 - 2 + 289*j**2 - 306*j + 40 - 32*j**3 + 135*j**2 + l*j**2.
-2*(j - 19)*(4*j - 1)**2
Let y be (-2)/(18/(-9)) - -9. Let 2*n**3 + 30*n - 2*n**2 - y*n**2 + 50 + 10*n**2 - 16*n**2 = 0. What is n?
-1, 5
Let d(h) be the second derivative of -h**6/75 - 34*h**5/25 + 7*h**4 - 212*h**3/15 + 71*h**2/5 + 3301*h. Factor d(c).
-2*(c - 1)**3*(c + 71)/5
Let c be (-6)/(-32)*132/(-627). Let t = 3791/228 - c. Let 8*j - 20*j**3 - t*j**4 - 8/3 + 22/3*j**2 = 0. What is j?
-1, 2/5
Let x(a) be the third derivative of 1/48*a**4 - 1/3*a**3 + 0*a + 7*a**2 - 1/240*a**6 + 1/30*a**5 + 1. Suppose x(h) = 0. What is h?
-1, 1, 4
Suppose 3*o = -106 + 1015. Determine q so that -1350 + 1506*q**2 + 10*q**5 - 23*q - 156*q**4 + 57*q - 234*q + 2*q**5 + o*q**3 - 115*q = 0.
-2, -1, 1, 15/2
Let a(s) = -4*s**2 + 16*s - 58. Let f = -72 + 71. Let n(k) = k**2 + k + 1. Let i(o) = f*a(o) - 6*n(o). Solve i(m) = 0.
-13, 2
Let c(r) be the second derivative of -r**8/1344 - r**7/72 + r**6/8 - r**4/2 + 2*r**2 - 30*r. Let o(f) be the third derivative of c(f). Let o(k) = 0. What is k?
-9, 0, 2
Let g be (-20)/(-6) + 920/(-552). Let t = 41 + -39. Factor 1/3*z**t + g - 2*z.
(z - 5)*(z - 1)/3
Suppose -742*h = -728*h. Let s(x) be the third derivative of -5/24*x**4 + 1/4*x**5 - 1/42*x**7 + h*x - 15*x**2 - 5/3*x**3 + 1/24*x**6 + 0. Solve s(g) = 0 for g.
-1, 1, 2
Let v be 2/6*4 - ((-10921)/201 - -54). Let n(r) be the first derivative of -v*r**3 - 10*r - 15/2*r**2 - 8. Factor n(f).
-5*(f + 1)*(f + 2)
Determine y, given that -18/13 + 20/13*y + 34/13*y**2 - 4/13*y**3 = 0.
-1, 1/2, 9
Let z(j) = -j**4 + 51*j**3 - 42*j**2 - 297*j + 2. Let u(a) = 2*a**2 + 3*a + 2. Let x(m) = -u(m) + z(m). Determine f so that x(f) = 0.
-2, 0, 3, 50
Let v(a) = a**3 + 33*a**2 - 8*a - 227. Let l be v(-33). Let y(c) be the first derivative of 7*c**3 - c**4 - 21/2*c**2 + 4*c + l. Find n, given that y(n) = 0.
1/4, 1, 4
Let o be 36/8*((-70)/(-15) + -4). Suppose 4*v = -g + 2*v + 2, -3*g + 5*v + 6 = 0. Solve 8*c**2 + 8*c - 7*c**2 + o*c**g = 0 for c.
-2, 0
Let t be 18/16 - (-37065)/(-138376). Factor -3/7 - t*g - 3/7*g**2.
-3*(g + 1)**2/7
Suppose -3729*o**2 + 7544*o**2 + 270*o - 920 - 3710*o**2 - 5*o**3 = 0. What is o?
-4, 2, 23
Let g be 174/(-22) - (-22 + -24 + 37). Suppose -4*z - 14 = 5*h - 50, -12 = -3*z. Solve -g*p**2 + 0 + 0*p - 6/11*p**h + 18/11*p**3 = 0.
0, 1, 2
Let a be 3 - (-3 + -5 + 1/(-12) + (-4250)/(-600)). Factor 0*g - 1/2*g**3 + 1/4*g**a + 0 + 0*g**2.
g**3*(g - 2)/4
Let x(s) be the first derivative of 0*s + 7*s**3 + 1/4*s**4 + 5 + 0*s**2. Factor x(z).
z**2*(z + 21)
Let k(i) be the second derivative of -1/50*i**5 + 67/15*i**3 + 19*i - 16/15*i**4 - 4 - 34/5*i**2. Factor k(h).
-2*(h - 1)**2*(h + 34)/5
Suppose -5*q = 5*w + 8 - 3, 0 = -3*w - 12. Let k(d) be the first derivative of -8*d - 9 - 1/3*d**6 - 43/4*d**4 - 3*d**5 - 18*d**2 - 58/3*d**q. Solve k(v) = 0.
-2, -1, -1/2
Let w = 188 - 182. Let q(k) = -11*k**2 - 26*k - 21. Let c(j) = -65*j**2 - 155*j - 125. Let g(y) = w*c(y) - 35*q(y). Determine n, given that g(n) = 0.
-3, -1
Let n(c) = -c + 16. Let k be n(13). Determine z, given that -90*z**4 - 2*z**5 + 88*z**4 - 22*z**2 + 8*z + 0*z**2 + 18*z**k = 0.
-4, 0, 1
Let h(y) = -273*y**2 - 510*y - 471. Let d(q) = 15*q**2 - 2. Let c(g) = -18*d(g) - h(g). Factor c(k).
3*(k + 1)*(k + 169)
Let s(i) be the first derivative of i**6/4 - 39*i**5/10 + 24*i**4 - 74*i**3 + 120*i**2 - 96*i + 11873. Determine r so that s(r) = 0.
1, 2, 4
Let h(s) be the second derivative of s**7/21 + 162*s**6/5 + 30246*s**5/5 + 175684*s**4/3 + 231680*s**3 + 460800*s**2 + 228*s - 12. Let h(c) = 0. Calculate c.
-240, -2
Let r(g) be the second derivative of -g**5/5 + 490*g**4 - 360150*g**3 + 3299*g. Factor r(i).
-4*i*(i - 735)**2
Let d = 33641/452 + -7930/113. Factor 4*p + 1/4*p**2 - d.
(p - 1)*(p + 17)/4
Let b = -10856 + 10860. Determine s so that -23*s**2 + b - 2*s - 3/2*s**3 + 45/2*s**4 = 0.
-2/3, 2/5, 1
Determine u, given that 22*u**2 - 19/3*u**3 - 1/3*u**4 + 0*u + 0 = 0.
-22, 0, 3
Let r(x) be the second derivative of 0 - 1/2*x**3 - 1/4*x**4 - 188*x + 3*x**2. Factor r(f).
-3*(f - 1)*(f + 2)
Let y(v) be the first derivative of 5*v**4/4 - 50*v**3/3 - 65*v**2/2 + 110*v + 995. Factor y(z).
5*(z - 11)*(z - 1)*(z + 2)
Suppose -60552/7 - 59856/7*o + 694/7*o**2 - 2/7*o**3 = 0. Calculate o.
-1, 174
Let y be 2*((-186)/189*12 + 144/12). Factor -2/21*d**3 - 10/21*d + 4/21 + y*d**2.
-2*(d - 2)*(d - 1)**2/21
Factor 2/13*h**2 + 324/13 + 326/13*h.
2*(h + 1)*(h + 162)/13
Factor -5924356/5 - 4/5*o**2 - 9736/5*o.
-4*(o + 1217)**2/5
Let x be ((-7821)/(-462) - 17)*-256*1. Factor 32/7*j**2 + 2/7*j**3 + 0 + x*j.
2*j*(j + 8)**2/7
Suppose 0*h + 3*l = 3*h - 771, -2*h + 526 = 2*l. Suppose -174*b**2 - 120 + h*b - 581*b**3 - 5*b**4 - 16*b**2 + 636*b**3 = 0. Calculate b.
1, 2, 6
Solve -1/4*z**5 + 137/4*z**3 + 7/4*z**4 + 521/4*z**2 + 166*z + 68 = 0 for z.
-4, -1, 17
Let g be (-18)/(-12)*8*(-3)/(-9). Suppose -3 = -3*f, 4*m - 57 = f - 58. Find k, given that 9/2*k**3 - 3/2*k**g + m*k - 3*k**2 + 0 = 0.
0, 1, 2
Factor -94/11*i**3 - 4*i**2 - 48/11*i**4 + 0 + 2/11*i.
-2*i*(i + 1)**2*(24*i - 1)/11
Let f(g) be the third derivative of -g**6/150 + 53*g**5/75 + 2*g**4/15 - 424*g**3/15 - 2*g**2 - 826*g. Factor f(t).
-4*(t - 53)*(t - 2)*(t + 2)/5
Let q be (-3 + (2 - 132))*1. Let o be q/(-21) + 6 - 2/6. Find j such that -3*j**2 + 0*j + 5*j**3 + 0*j - 20*j - o*j**2 = 0.
-1, 0, 4
Find t such that 0 - 152/17*t + 10/17*t**4 - 46/17*t**3 - 208/17*t**2 = 0.
-2, -1, 0, 38/5
Let o(l) be the second derivative of l**3/6 + 9*l**2/2 - 40*l. Let k be o(7). Factor 0 - 5*i - 1 + k*i**2 - 13*i**2 - 1.
(i - 2)*(3*i + 1)
Factor 1681/4 - 41/2*r + 1/4*r**2.
(r - 41)**2/4
Let s(y) = 18*y - 5. Let p be (140/42)/(2/3). Let q be s(p). What is d in 28*d**3 + 73*d + 149*d**2 + 4*d**4 - 25*d - q*d**2 = 0?
-3, -2, 0
Let u(q) = -q**2 - 11*q - 16. Let t be u(-9). Let -6*h + 3*h + 3*h + 5*h**t - 25*h**3 = 0. Calculate h.
0, 1/5
Let h(f) be the third derivative of -f**5/120 + 7*f**4/16 - 55*f**3/6 + 116*f**2 - 4. Factor h(t).
-(t - 11)*(t - 10)/2
Let r(g) be the third derivative of -g**6/30 + 34*g**5/3 - 3854*g**4/3 + 26896*g**3 - 136*g**2 - 11*g - 1. Factor r(f).
-4*(f - 82)**2*(f - 6)
Let z(t) = 3*t**4 - 516*t**3 + 351*t**2 - 5*t + 35. Let p(d) = 3*d**4 - 515*d**3 + 352*d**2 - 6*d + 42. Let y(a) = 5*p(a) - 6*z(a). Let y(n) = 0. Calculate n.
0, 2/3, 173
Let w = 4/9103 - -33104/7528181. Let f = w + 3280/5789. Factor 8/7*j + 4/7 + f*j**2.
4*(j + 1)**2/7
Let p(s) be the first derivative of s**5/70 + 5*s**4/14 + 129*s - 135. Let r(c) be the first derivative of p(c). Determine x, given that r(x) = 0.
-15, 0
Let c be (-16)/(-64) - 3/12. Find g, given that -31762*g + c*g**3 - 2*g**2 + 31763*g + g**3 = 0.
0, 1
Solve 6*j - 1/3*j**2 + 21 = 0 for j.
-3, 21
Let g be (-46)/(-161) + (1 - 2277/7). Let c be (1/3)/((-72)/g). Factor -c*i + 0 - 3/2*i**2.
-3*i*(i + 1)/2
Let x(d) be the second derivative of 0 - 1/60*d**5 - 4*d**2 + 7*d - 1/3*d**3 - 1/8*d**4. Let q(r) be the first derivative of x(r). Factor q(t).
-(t + 1)*(t + 2)
Let r = 13 + -10. Let i = -7259/15 - -2423/5. Factor i*c**2 + 0 + 0*c - 1/3*c**r.
-c**2*(c - 2)/3
Let q(w) be the third derivative of -w**7/42 - 49*w**6/20 - 4141*w**5/60 + 445*w**4/2 - 150*w**3 - 2729*w**2. Suppose q(j) = 0. Calculate j.
-30, 1/5, 1
Factor -113 - 266 + 4*k**2 - 160*k + 5 + 0*k**2 + 38.
4*(k - 42)*(k + 2)
Let x(h) = -h**2 + 2192*h - 1209996. Let f(k) = k**2 - 2194*k + 1209997. Let m(w) = 4*f(w) + 3*x(w). Solve m(o) = 0.
1100
Let b(a) be the second derivative of -a**4/30 - 106*a**3/15 - 408*a**2/5 + 148*a - 14. Factor b(j).
-2*(j + 4)*(j + 102)/5
Let d(n) be the third derivative of -n**7/525 + 11*n**6/300 + 28*n**5/75 + n**4 - 2*n**2 - 215*n. Determine j, given that d(j) = 0.
-2, 0, 15
Let t(p) = -5*p**3 - 3*p**2 + 11*p - 13. Let c be t(-5). Suppose 14*y + 412 - c = 0. Let 0 - 3/4*l**4 + 0*l - 3/4*l**3 + 3/4*l**y + 3/4*l**2 = 0. What is l?
-1, 0, 1
Let r = 189 + -174. Factor -96*i - 20*i**2 + r + 198*i - 97*i.
-5*(i - 1)*(4*i + 3)
Let h = 86 - 92. Let n(s) = 30*s + 182. Let g be n(h). Factor -2/9*r**3 + 2/3*r - 4/9 + 0*r**g.
-2*(r - 1)**2*(r + 2)/9
Let c(z) = -11*z**2 + 2*z - 1. Let q(a) = -1