+ (-6)/69. Determine d so that 1/2*d**g + 57/2 + 29*d = 0.
-57, -1
Let u be -10*(200/5 + -41). Solve -1 + 19/3*n - u*n**2 - 10/3*n**3 - 3*n**5 + 11*n**4 = 0.
-1, 1/3, 1, 3
Let u(t) be the second derivative of 1/84*t**4 + t + 0*t**2 + 20/21*t**3 - 14. Solve u(p) = 0.
-40, 0
Let z(p) be the second derivative of -3*p**5/80 + 771*p**4/8 - 198147*p**3/2 + 50923779*p**2 - 303*p - 4. Factor z(o).
-3*(o - 514)**3/4
Let d = 996 + -5975/6. Let u(z) be the third derivative of 1/30*z**6 - d*z**4 - 2/3*z**3 + 0*z + 6*z**2 + 1/15*z**5 + 0. Solve u(k) = 0 for k.
-1, 1
Let r(y) = -8*y**3 - 140*y**2 - 854*y - 265. Let b(i) = 6*i**3 + 154*i**2 + 854*i + 264. Let x(z) = -7*b(z) - 6*r(z). Solve x(h) = 0 for h.
-3, -1/3, 43
Let t(i) = 10*i - 8. Let p be t(1). Let j = 7 - 2. Factor j*d**p - 6*d**2 + d - 2*d.
-d*(d + 1)
Let k = 123 - 131. Let c be (k/20 + 1)*40/4. Factor 2 + 5/2*x**2 - c*x.
(x - 2)*(5*x - 2)/2
Let y be ((-16)/(-26))/(-1 + -18 - 11100/(-555)). Factor 0 + y*j**4 + 56/13*j**3 + 12/13*j + 50/13*j**2.
2*j*(j + 6)*(2*j + 1)**2/13
Determine i so that -62/3*i - 10 + 86/3*i**2 + 2*i**3 = 0.
-15, -1/3, 1
Suppose -z + 5*z = 0, -5*t - 5*z + 10 = 0. Let h = 3382/1011 + -4/337. Suppose 5/6*b**3 + 10/3*b**t + h*b + 0 = 0. What is b?
-2, 0
Let o = -822 + 825. Let 441*y**2 - y**4 - 30 + 8*y**3 - 56*y - 229*y**2 + o*y**4 - 232*y**2 = 0. What is y?
-5, -1, 3
Find v, given that 9376*v**3 + 18*v**4 - 54*v**4 + 21*v**4 - 5*v**5 + 40*v**2 - 9346*v**3 = 0.
-4, -1, 0, 2
Let b(s) be the first derivative of -s**3/6 + 79*s**2/4 - 114*s + 439. Factor b(u).
-(u - 76)*(u - 3)/2
Let q(n) = n**3 + 13*n**2 + 11*n - 11. Let a be q(-12). Suppose -5*k - a + 21 = 0. Let y**3 - 7*y**2 + 5*y**2 + y**k - 2*y**3 = 0. What is y?
-1, 0, 2
Let m be -5 - ((-294)/(-77))/(-3)*18/4. Solve 2/11*v**3 + 0 + 6/11*v**2 - m*v = 0.
-4, 0, 1
Let f = 32546 - 32543. Let n(i) be the third derivative of 0 + 1/160*i**6 + 1/40*i**5 + 1/32*i**4 + 0*i + 30*i**2 + 0*i**f. Factor n(m).
3*m*(m + 1)**2/4
Factor -195/4*q + 12*q**2 - 3/4*q**3 + 75/2.
-3*(q - 10)*(q - 5)*(q - 1)/4
Let y be (1*-2)/(-10) - (-56)/20. Suppose 0 = -y*v + 6*v - 6. Factor i**2 + 4*i**4 - i**2 - 2*i - 4*i**v + 4*i**5 - 2*i**5.
2*i*(i - 1)*(i + 1)**3
Let c(y) be the first derivative of 2*y**2 + 9 + 1/2*y**4 - 8/3*y**3 + 1/15*y**5 + 0*y. Let v(u) be the second derivative of c(u). Solve v(w) = 0.
-4, 1
Suppose -4*a = -3*k - 338, 29*k = -a + 34*k + 93. Suppose -66*m + a*m = 0. Factor m - 3/8*j**2 + 1/4*j.
-j*(3*j - 2)/8
Let b(k) be the second derivative of 0 + 22*k + 13/42*k**4 - 2/7*k**3 + 0*k**2 + 1/14*k**5. Suppose b(o) = 0. Calculate o.
-3, 0, 2/5
Let h(o) be the first derivative of 0*o**3 - 3/14*o**4 + 9*o - 1/35*o**5 + 1/35*o**6 - 20 + 4/7*o**2. Let q(u) be the first derivative of h(u). Solve q(f) = 0.
-1, 2/3, 2
Suppose 6*b + 442 = 424. Let c be (8 - b) + 104/(-10). Suppose -18/5*g + 21/5 - c*g**2 = 0. What is g?
-7, 1
Let b be 8*(-3 + (-15)/(-6)) - (310 + -316). Factor -1/6*n**4 + 3*n**3 + 42*n - 109/6*n**b - 98/3.
-(n - 7)**2*(n - 2)**2/6
Let a = 331 + 47. Let t be (-16)/(-2)*81/a. Suppose -8/7 + 16/7*k**2 + 24/7*k**3 - 12/7*k**5 - 8/7*k**4 - t*k = 0. Calculate k.
-1, -2/3, 1
Let h(l) = -l**4 - 4*l**3 + l. Let d(q) = 4*q**4 + 5*q**3 + 35*q**2 + 10*q - 34. Let k(x) = -2*d(x) - 10*h(x). Let k(b) = 0. Calculate b.
-17, -1, 1, 2
Let g be ((-5035)/(-2014))/((-5)/(-22)). Suppose 0 + 1/2*z**2 + g*z = 0. What is z?
-22, 0
Let r(g) = -g**2 - 18*g - 10. Let l be r(-17). Suppose 63*i**2 + l*i**3 + 2*i + 8*i**3 + 6*i + 4*i = 0. What is i?
-4, -1/5, 0
Factor 4820*q + 2566 + 4983*q**2 + 9*q**3 - 14*q**3 + 654 - 3388*q**2.
-5*(q - 322)*(q + 1)*(q + 2)
Let w(t) be the second derivative of t**4/60 + 694*t**3/15 + 240818*t**2/5 - 1312*t - 4. Factor w(a).
(a + 694)**2/5
Let t(c) = -13*c**2 + 824*c - 312. Let o be t(63). Factor 21/4*h**2 + 17/4*h + 11/4*h**o + 1/2*h**4 + 5/4.
(h + 1)**3*(2*h + 5)/4
Let r = 291 - 288. Suppose 5*n - 6 = -4*u + 12, 0 = 4*u + r*n - 14. Suppose 6/7*d**5 + 36/7*d**4 + 0 + 6/7*d**3 - 144/7*d**u + 96/7*d = 0. What is d?
-4, 0, 1
Let w = -4239/2569 - -658/367. Suppose 2*a - a - 2 = 0. Factor 0*z + w*z**a - 4/7.
(z - 2)*(z + 2)/7
Let t(d) be the first derivative of -10*d**2 + 7 - 10/9*d**3 + 5/3*d**4 + 1/3*d**5 + 15*d. Let t(v) = 0. What is v?
-3, 1
Let w be (17605/25150)/(2/30). Determine p, given that 0 + 6*p**2 + 0*p**3 + 9/2*p**5 - w*p**4 + 0*p = 0.
-2/3, 0, 1, 2
Let y = -129 + 1176. Suppose 6*t**5 - 26*t - 5*t**5 - 41*t**2 - 3*t**3 - y*t**4 + 1060*t**4 = 0. Calculate t.
-13, -1, 0, 2
Let p(s) = -40*s**2 + 96*s + 172. Let d(m) = m**3 - 81*m**2 + 192*m + 337. Let w(n) = 4*d(n) - 7*p(n). Factor w(f).
4*(f - 6)**2*(f + 1)
Let m(n) be the first derivative of -4*n**5/5 - 41*n**4 - 160*n**3/3 + 277. Factor m(y).
-4*y**2*(y + 1)*(y + 40)
Let h be (-1 - 357/18)*(-73 - 19995/(-279)). What is z in 7936/9*z**2 - h*z + 2/9 - 7688/9*z**3 = 0?
1/62, 1
Suppose -3*l - 5*x = 4, -5*x - 22 = -5*l - 2. Factor 25 - 29 - h**l + 29.
-(h - 5)*(h + 5)
Let j(x) be the third derivative of -x**6/180 - 3*x**5/10 + 83*x**4/18 + 64*x**3/3 + 4267*x**2. Suppose j(t) = 0. What is t?
-32, -1, 6
Let a be 9 + (-2 - (-703)/(-74)*(-4)/(-6)). Determine r so that 10/21*r + 4/21 - a*r**2 = 0.
-2/7, 1
Factor -1/2*y**3 + 24*y + 0 - 4*y**2.
-y*(y - 4)*(y + 12)/2
Suppose 0 = 613*p - 610*p + 33. Let h be 66/p*(-2)/10. Factor 0 - h*m - 8/5*m**2 - 2/5*m**3.
-2*m*(m + 1)*(m + 3)/5
Let a = 9358 + -28072/3. Find b such that -4 + 10/3*b - a*b**2 = 0.
2, 3
Let t(n) be the first derivative of 10*n**6/9 + 32*n**5/15 - 64*n**4/3 - 64*n**3/9 + 352*n**2/3 - 256*n/3 + 1047. What is w in t(w) = 0?
-4, -2, 2/5, 2
Suppose 1/4*a**4 - 738*a**2 - 8937/4 + 4455/2*a + 161/2*a**3 = 0. Calculate a.
-331, 3
Let u be (2 - (-112)/(-52))*12736/(-995) + 8/10. Factor -u - 2/13*g**2 - 22/13*g.
-2*(g + 2)*(g + 9)/13
Let p(i) be the second derivative of -i**6/360 + i**5/4 - 75*i**4/8 - 11*i**3/2 + 2*i - 1. Let t(m) be the second derivative of p(m). Factor t(w).
-(w - 15)**2
Let t = -113/70 + 1157/630. Let f(s) be the first derivative of -242/3*s - 22/3*s**2 - t*s**3 - 2. Factor f(p).
-2*(p + 11)**2/3
Let c(t) be the third derivative of t**6/1440 - 2*t**5/15 + 32*t**4/3 + 22*t**3 + 3*t**2 + 15*t. Let p(l) be the first derivative of c(l). Solve p(s) = 0.
32
Let w(h) = -112*h - 110. Let d be w(-1). Let k(j) be the first derivative of 0*j - 2 - 4/3*j**3 - 7/2*j**4 - 6/5*j**5 + 0*j**d. Factor k(x).
-2*x**2*(x + 2)*(3*x + 1)
Let w(n) be the first derivative of n**3 - 225*n**2/2 - 1200*n - 1531. Factor w(z).
3*(z - 80)*(z + 5)
Determine g, given that -7*g + 7*g**3 - 2/3 + 2/3*g**2 = 0.
-1, -2/21, 1
Let o = 2798 - 2794. Let y(m) be the third derivative of 0*m**3 + 0*m**o + 1/180*m**6 + 9*m**2 + 0 + 0*m - 1/180*m**5 - 1/630*m**7. Find g, given that y(g) = 0.
0, 1
Suppose -4*c + 22 = 3*w, -4*w - 5*c = 16 - 44. Suppose -2*j**4 + 16*j**3 + 40*j**w - 20 - 52*j**2 - 30 - 80*j = 0. Calculate j.
-1, 5
Factor 2/9*m**3 + 28/3 - 28/3*m**2 - 2/9*m.
2*(m - 42)*(m - 1)*(m + 1)/9
Let y(s) be the first derivative of s**6/36 + s**5/6 + s**4/24 - 7*s**3/6 - 3*s**2/2 - 8914. Factor y(b).
b*(b - 2)*(b + 1)*(b + 3)**2/6
Let p = 175787/79092 + -3/8788. Let -16/9*k - 4/9*k**2 + p = 0. What is k?
-5, 1
Let s(t) be the second derivative of t**7/42 - 14*t**6/15 + 49*t**5/10 - 11*t**4/3 - 33*t**3/2 + 36*t**2 + 2324*t. Determine w so that s(w) = 0.
-1, 1, 3, 24
Suppose 4*n - j - 4 = 13, -5*n = 3*j - 17. What is w in 1089*w**3 - 7346*w**2 - 93*w**4 - 8249*w - 2592 + 617*w + 231*w**n - 2*w**5 - 3255*w**3 = 0?
-1, 36
Suppose -1 = x - 13. Factor -3*k**5 - 722*k**2 - 15*k**3 + 1447*k**2 - 731*k**2 - x*k**4.
-3*k**2*(k + 1)**2*(k + 2)
Let o(g) be the second derivative of g**6/55 + 67*g**5/110 + 481*g**4/66 + 375*g**3/11 + 324*g**2/11 - 169*g. Solve o(l) = 0 for l.
-9, -4, -1/3
Factor 1/3*k**2 - 799/3*k - 800/3.
(k - 800)*(k + 1)/3
Let a be (26 + 157)/(-61) + (24/10 - (2 + -3)). Solve -114*l - a*l**4 + 180 - 386/5*l**2 + 58/5*l**3 = 0 for l.
-2, 1, 15
Determine b, given that -26483*b**2 - 60*b + 97*b**3 + 26784*b**2 + 15*b + 7*b**4 = 0.
-9, -5, 0, 1/7
Find b, given that 118*b - 122*b - 11*b**2 + 12 - 5*b**2 + 0*b**2 = 0.
-1, 3/4
Let i(t) = -7*t**4 + 93*t**3 - 110*t**2 - 12*t. Let h(b) = -6*b**4 + 96*b**3 - 110*b**2 - 10*b. Let w(v) = 6*h(v) - 5*i