/867 + z. Factor 2/23*i**2 - l + 2/23*i.
2*(i - 1)*(i + 2)/23
Let b(r) be the third derivative of -r**5/80 - 101*r**4/16 - 50*r**3 + 776*r**2. Factor b(p).
-3*(p + 2)*(p + 200)/4
Determine g, given that 4*g**3 - 7*g**2 - 13*g**2 - 13*g - 999*g + 8228 = 0.
-17, 11
Let h be (-20)/16*105/(-70). Factor -h*a + 0 + 1/8*a**4 - 29/8*a**2 - 13/8*a**3.
a*(a - 15)*(a + 1)**2/8
Suppose 0 = 4*y - 2*h - 98 + 106, y - 12 = -3*h. Determine f so that 2/15*f**3 - 22/15*f + y + 4/3*f**2 = 0.
-11, 0, 1
Let c = 2 - 2. Let u be 108/32 - (-3630)/(-9680). Factor 44/3*d**2 + c*d + 6*d**u + 2/3*d**4 - 64/3.
2*(d - 1)*(d + 2)*(d + 4)**2/3
Let d be (-1)/4 + 5/((-100)/(-105)). Suppose 1 = d*g - 339. What is m in -84*m**4 + 20*m**5 - 186*m**3 - 69*m**5 - g*m**2 - 8*m - 91*m**4 = 0?
-2, -1, -2/7, 0
Let q(b) be the first derivative of -5*b**4/4 - 60*b**3 - 345*b**2/2 - 170*b + 4953. Factor q(s).
-5*(s + 1)**2*(s + 34)
Let d(s) be the first derivative of -11*s**6/180 - 4*s**5/15 + s**4 + 79*s**3/3 + 130. Let w(f) be the third derivative of d(f). Suppose w(m) = 0. Calculate m.
-2, 6/11
Let p be -11 - -12 - (0 - 43). Let h = p - 40. Suppose -99*k**4 + h*k**3 - 7 + 28*k**2 - 4*k**5 - 9 + 87*k**4 = 0. What is k?
-2, -1, 1
Factor -405*q**2 + 18*q**3 + 0 - 1/5*q**4 + 0*q.
-q**2*(q - 45)**2/5
Suppose -2*j - 442 = 4*k + j, -319 = 3*k - 4*j. Let c = k - -111. Let 0 - 2/13*n**4 + 6/13*n**3 - 4/13*n**c + 0*n = 0. What is n?
0, 1, 2
Suppose a - 10 = -4*z, -5*z + 2*a - 19 + 25 = 0. Let c be (25/(-70) - 1/7)*0. Factor c + 3/2*t**z - 3/2*t**4 - 3/2*t + 3/2*t**3.
-3*t*(t - 1)**2*(t + 1)/2
Factor 45*b + 24 - 24 + 125*b**3 + 170*b**2 - 20*b**2.
5*b*(5*b + 3)**2
Let c(x) = 25*x**3 + 10*x**2 + 365*x + 392. Let d(l) = -230*l**3 - 90*l**2 - 3285*l - 3535. Let o(m) = -55*c(m) - 6*d(m). Factor o(f).
5*(f - 10)*(f + 1)*(f + 7)
Suppose -1055*u - 8*u**3 + 225*u**2 + 13*u**3 + 103*u**2 + 12*u**2 + 710 = 0. Calculate u.
-71, 1, 2
Suppose -3*g = 5*l + 1277 - 1284, g = -4*l + 21. Determine v, given that 2/3*v**2 - l - 2/3*v = 0.
-3, 4
Let y(n) be the third derivative of 5*n**8/108 + 128*n**7/945 - 2*n**6/27 - 16*n**5/135 - 53*n**2 - n. Solve y(q) = 0.
-2, -2/5, 0, 4/7
Let r = -122388 + 122390. Determine j so that -3/4*j**r - 33/4 - 9*j = 0.
-11, -1
Factor 543*d - 98283/2 - 3/2*d**2.
-3*(d - 181)**2/2
Factor 2012/5 - 18/5*o**2 - 1810*o.
-2*(o + 503)*(9*o - 2)/5
Let f(s) be the second derivative of -2*s**7/21 - 166*s**6/15 + 522*s**5/5 - 1058*s**4/3 + 1774*s**3/3 - 534*s**2 + 4*s - 538. Find w, given that f(w) = 0.
-89, 1, 3
Let u = 208 + -200. Factor 4*d + u*d**2 - 4*d + 0*d - 3*d**2 - 15*d.
5*d*(d - 3)
Solve -219/7*n**2 + 6/7*n**3 - 24/7*n + 876/7 = 0 for n.
-2, 2, 73/2
Let v(s) = -8*s**2 - 5*s + 968. Let h be v(0). Let r = h - 966. Suppose 3/2*d**4 + 0 + 5/2*d**r - 1/2*d - 7/2*d**3 = 0. Calculate d.
0, 1/3, 1
Let z(l) be the third derivative of 1/6*l**4 + 0*l + 13/72*l**6 - 2/9*l**3 + 9/20*l**5 - 2*l**2 - 12. Factor z(v).
(v + 1)*(5*v + 2)*(13*v - 2)/3
Let k(b) be the second derivative of 2*b**6/15 + 52*b**5/5 + 50*b**4 + 296*b**3/3 + 98*b**2 + 4209*b. Let k(c) = 0. Calculate c.
-49, -1
Let 7*w - 18*w**5 + 13*w - 876*w**3 + 821*w**3 + 8*w**5 - 39*w**4 - 6*w**4 = 0. What is w?
-2, -1, 0, 1/2
Let i(r) = 17*r + 6. Let h be i(-3). Let s = h - -50. Factor 20*z + 62*z - 3*z - 9*z + s + 245*z**2.
5*(7*z + 1)**2
Let u = 1083/3464 + 27/433. Let d(r) be the third derivative of -1/20*r**5 + 0*r - u*r**4 + 0 - 29*r**2 + 0*r**3. Factor d(f).
-3*f*(f + 3)
Let 79*s - 56*s**3 - 71 + 72*s**2 - 12*s**4 + 11 - 27*s + 4*s**5 = 0. What is s?
-3, -1, 1, 5
Let a(u) = -u**2 + 8*u - 15. Let b = -1679 - -1684. Let o be a(b). Determine d, given that -3/4*d**4 + 0*d**2 + 0 + o*d + 1/4*d**3 = 0.
0, 1/3
Let d(x) be the first derivative of 2/7*x + 2/21*x**3 + 2/7*x**2 - 6. Suppose d(t) = 0. What is t?
-1
Factor 16*t**3 - 7*t**4 + 0 + 0*t + 64*t**2 + 1/2*t**5.
t**2*(t - 8)**2*(t + 2)/2
Let t(d) be the third derivative of 77*d**6/90 + 4*d**5/15 - 2*d**4/3 - 23*d**3/2 + 7*d**2 - 2. Let w(s) be the first derivative of t(s). Factor w(o).
4*(7*o + 2)*(11*o - 2)
Let s(h) = -h**2 + 48*h - 541. Let f be s(29). Let y(n) be the first derivative of -2/51*n**3 - f + 2/17*n**2 - 2/17*n. Let y(t) = 0. Calculate t.
1
Let j(u) be the second derivative of u**7/2520 + 17*u**6/720 + 11*u**4/4 - 20*u. Let t(g) be the third derivative of j(g). Find x, given that t(x) = 0.
-17, 0
Factor -63*a - 397*a - 2455 + a**2 + 1994.
(a - 461)*(a + 1)
Let f = -12883/12 - -6449/6. Let l = 17/6 - 7/3. Factor 0 + 0*r - 3/4*r**4 - f*r**3 + l*r**2.
-r**2*(r + 2)*(3*r - 1)/4
Let q(z) = 4*z + 72. Let l be q(-18). Let a be (-6 - l)*(-17)/34. Let 1 + 5*s + 7*s - 17*s + s**2 + a*s = 0. Calculate s.
1
Let n = 253 + -250. Determine g, given that -3*g**4 + 2*g**n + 7*g**5 - 4*g**3 - 5*g**5 - 3*g**5 + 0*g**3 = 0.
-2, -1, 0
Let f = -633 - -38612/61. Let i = 67/366 + f. Let 1/12*r**3 - 1/3*r + i*r**2 - 2/3 = 0. What is r?
-2, 2
Let s(n) = -n**3 - 4*n**2 - 2*n - 5. Let m be s(-5). Suppose -m*d = -20*d. Solve 2/7*a - 2/7*a**3 + d + 0*a**2 = 0.
-1, 0, 1
Let a(h) be the first derivative of 2*h**2 + 2/3*h**6 + 153 - 2*h**4 - 16/5*h**5 + 32/3*h**3 - 16*h. Let a(j) = 0. Calculate j.
-1, 1, 4
Let i(u) = 13*u**2 + 617*u - 616. Let c(l) = 4*l**2 + 204*l - 204. Let y(p) = 7*c(p) - 2*i(p). Determine x, given that y(x) = 0.
-98, 1
Suppose x = 2 + 2. Let g = 106 - 102. Solve -g*h**3 + 16*h**5 - 25*h**3 - x*h**3 + h**2 + 2*h - 16*h**4 = 0 for h.
-1, -1/4, 0, 1/4, 2
Suppose -621*t - 47 - 13 = -636*t. Let v(f) be the third derivative of -1/30*f**6 + 0*f + 0*f**3 + 0 + 1/15*f**5 + 0*f**t + 5*f**2. Find n, given that v(n) = 0.
0, 1
Let i = 12232/7 + -2935673/1680. Let f(s) be the third derivative of -19*s**2 + i*s**5 + 0 + 0*s**4 + 0*s**3 + 0*s + 1/480*s**6. Determine p so that f(p) = 0.
-1, 0
Let l be (-1 - 2/2)*(-143)/(-22). Let h = -10 - l. Factor -3 - 4*j**2 - j**3 + 16*j**3 + 0*j**3 + 13*j**2 + 6*j**4 - h*j.
3*(j + 1)**3*(2*j - 1)
Let 1700/21*c + 2/21*c**4 - 4624/21 + 142/7*c**2 - 64/21*c**3 = 0. Calculate c.
-4, 2, 17
Let n(y) be the first derivative of -4*y**3/3 + 942*y**2 - 1880*y + 616. Find c, given that n(c) = 0.
1, 470
Suppose -4*a + 19 - 23 = 0. Let x be ((-15)/12)/(1*a/92). Let -25*j**3 + 6*j + 80*j**4 + 25*j**5 - j + 0*j**2 + x*j**3 + 40*j**2 = 0. Calculate j.
-1, -1/5, 0
Let h be (-9 + 8)/(20/(-344)). Let k = 187/10 - h. Suppose 3/4*z**2 - 9/4*z + k = 0. Calculate z.
1, 2
Let g(n) = -6*n - 59. Let h be g(-14). Factor 29*l**5 - 16*l - 16*l**4 + 3*l**2 + 0*l**2 + 12*l**3 + 13*l**2 - h*l**5.
4*l*(l - 2)**2*(l - 1)*(l + 1)
Let q(z) be the first derivative of z**5/5 + 5*z**4/3 + 2*z**3 - 18*z**2 - 2*z + 27. Let o(a) be the first derivative of q(a). Suppose o(y) = 0. What is y?
-3, 1
Let z = 586 + -582. Suppose 0 = 2*h - 2*o - 2*o, -8 = -2*o. Determine q, given that 16*q - 6*q + 8*q + 48*q**2 - h + z + 26*q**3 = 0.
-1, 2/13
Suppose -m + 29 = 2*s, m - 679*s = -674*s + 8. Let i(t) be the second derivative of 11/3*t**4 + 0 + 0*t**2 - m*t - 4/3*t**3. Factor i(j).
4*j*(11*j - 2)
Let a(g) = 6*g**4 - 261*g**3 - 267*g**2 + 255*g + 252. Let p(j) = j**4 - j**3 - j**2 - j - 3. Let d(x) = a(x) - 3*p(x). Determine h, given that d(h) = 0.
-1, 1, 87
Let j(r) be the third derivative of -r**5/90 - 5*r**4/6 - 9*r**3 + 516*r**2 + 2*r. Factor j(k).
-2*(k + 3)*(k + 27)/3
Let r(f) be the second derivative of 3*f**5/20 - 106*f**4 + 421*f**3/2 + 1269*f**2 + 5045*f. Factor r(j).
3*(j - 423)*(j - 2)*(j + 1)
Let z = 46 - -402. Let l be 2/15 - (z/60 + -10). Factor 8/3*d**2 - 4*d**4 + 4/3*d**5 - 4*d + 4/3 + l*d**3.
4*(d - 1)**4*(d + 1)/3
Let v(u) = u**3 + 28*u**2 + 44*u - 166. Let i(z) = -2*z**2 + 1. Let r(a) = -30*i(a) - 5*v(a). Factor r(h).
-5*(h - 2)*(h + 8)*(h + 10)
Let g = 76491/4 - 19122. Let i(x) be the first derivative of g*x**2 + 1/6*x**3 - 3/8*x**4 - 1/2*x + 19. Solve i(u) = 0 for u.
-1, 1/3, 1
Let o(c) = 8*c**2 - 14*c + 6. Let j(k) = 882 + 880 - 1769 + 15*k - 9*k**2. Let i(u) = 6*j(u) + 7*o(u). Find v such that i(v) = 0.
0, 4
Suppose -5*j + 19 = w - 4*w, -3*j = 2*w. Suppose -1747 - 1275 + 262 = -138*g. Factor 162*c**3 + 24*c**2 - g*c**2 + 68*c**j + 8*c.
2*c*(9*c + 2)**2
Solve 39/2*i**2 + 0 + 3/2*i**3 - 45*i = 0.
-15, 0, 2
Factor 6/7*h**3 - 204/7 + 108/7*h**2 + 90/7*h.
6*(h - 1)*(h + 2)*(h + 17)/7
Suppose -q