**6 - j**2 + 0 + 37*j + 0*j**3 + 5/8*j**4. Factor a(v).
5*v*(v + 1)*(v + 3)
Let 804*y**3 - 2*y**4 + 3609 + 2428*y - 5769 + 2424*y**2 + 2970 = 0. Calculate y.
-1, 405
Factor 156*r**2 + r**3 + 158 + 1674*r + 1459*r - 3448*r.
(r - 1)**2*(r + 158)
Determine w, given that -8/3 - 4*w - 4/3*w**2 = 0.
-2, -1
Let c be 6 - (-31 + 7337/203). Factor -6/7*n**3 - 12/7 + 22/7*n - c*n**2 + 2/7*n**4.
2*(n - 3)*(n - 1)**2*(n + 2)/7
Let g(s) be the third derivative of 0 + 0*s - 74*s**2 - 7/30*s**3 - 1/15*s**4 - 1/300*s**5. Determine r, given that g(r) = 0.
-7, -1
Suppose 24/5*g - 8/5*g**5 + 122/5*g**2 + 0 + 104/5*g**3 - 2/5*g**4 = 0. Calculate g.
-3, -1, -1/4, 0, 4
Factor 1/6*h**3 - 560/3*h**2 + 373 + 1117/6*h.
(h - 1119)*(h - 2)*(h + 1)/6
Let p be (-251615)/(-469950) - 2/10. Let j = p - 1/482. Determine c so that 36*c + 6*c**2 + j*c**3 + 72 = 0.
-6
Let g(t) be the second derivative of -t**4/6 - 445*t**3/3 + 446*t**2 - 1361*t. Determine z, given that g(z) = 0.
-446, 1
Suppose 2480*f**2 + 0 + 4/3*f**4 + 0*f - 7444/3*f**3 = 0. Calculate f.
0, 1, 1860
Suppose 3*b + 4*x = 16, 4*b - 12 = 13*x - 9*x. Find f such that -b*f**2 - f**2 + 10*f**4 - 15*f**3 + 3*f**2 - 2*f**4 = 0.
-1/8, 0, 2
Find o such that -25 + 835*o - 27889/4*o**2 = 0.
10/167
Factor 5/4*g**2 + 860 - 865/2*g.
5*(g - 344)*(g - 2)/4
Factor 0*y**4 + 11*y - 6*y**5 + 19 - 42*y**2 + 3*y**5 + 40*y + 12*y**4 - 37.
-3*(y - 3)*(y - 1)**3*(y + 2)
Let c(q) be the second derivative of -q**5/90 + 25*q**4/54 + 625*q**3/27 - 15625*q**2/9 + 65*q + 11. Suppose c(v) = 0. What is v?
-25, 25
Let j(z) = -6*z**2 - 54*z + 2. Let t be j(-9). Suppose 8 = v + t*r, 5*r - 5 = -4*v + 6*r. Factor 4/3*y**3 + 2/3*y**4 + 0*y**v + 0 + 0*y.
2*y**3*(y + 2)/3
Factor 44*w - 2/7*w**2 - 1694.
-2*(w - 77)**2/7
Factor -407 + 63/2*c + 1/2*c**2.
(c - 11)*(c + 74)/2
Find y, given that 2/5*y**3 + 138/5*y**2 + 0*y + 0 = 0.
-69, 0
Let f = 81954 + -327519/4. Factor -243/4*x - 105/4*x**3 - 81/4 + f*x**2 + 3*x**4.
3*(x - 3)**3*(4*x + 1)/4
Let s = 22638 + -814963/36. Let j(o) be the third derivative of -s*o**4 + 0*o**3 - 1/18*o**5 - 21*o**2 - 1/144*o**6 + 0*o + 0. Factor j(h).
-5*h*(h + 2)**2/6
Let -14374*i - 14347*i + 176 - 14351*i + 4*i**2 + 43132*i = 0. Calculate i.
-11, -4
Let x be 5 - (6/4)/((-42)/28). Let j(p) be the second derivative of 1/48*p**4 + 1/168*p**7 + 0*p**3 + 0 + 0*p**2 + 1/40*p**x + 3/80*p**5 + 16*p. Factor j(y).
y**2*(y + 1)**3/4
Let d(t) be the third derivative of -t**8/2856 + t**7/51 + 37*t**6/1020 - 7*t**5/102 - 3*t**4/17 + 3382*t**2. Find j, given that d(j) = 0.
-1, 0, 1, 36
Let v = -7220 + 7231. Let c(d) be the first derivative of -4/3*d**3 + d**4 - v + 0*d + 0*d**2. Let c(m) = 0. Calculate m.
0, 1
Let j(p) be the third derivative of p**6/120 - 823*p**5/15 + 677329*p**4/6 + p**2 + 3191. Factor j(y).
y*(y - 1646)**2
Suppose 5*t - 4*m - 23 = 0, 32*m = -t + 36*m + 11. Find v, given that -51/4*v**2 + 15/2*v**t - 36*v + 9/4*v**4 + 27 = 0.
-3, 2/3, 2
Let q be -8*(-76 + (-151)/(-2)). Factor 0 + 0*m + 3/2*m**2 - 23/4*m**3 - m**q.
-m**2*(m + 6)*(4*m - 1)/4
Let a(o) be the first derivative of -49/11*o - 1/33*o**3 + 72 - 7/11*o**2. Factor a(i).
-(i + 7)**2/11
Suppose -r - 2*t - 8 + 2 = 0, 0 = -3*r + 5*t + 37. Suppose 59*k - 54*k - 2*g = 44, 0 = r*k - g - 37. Factor 2/5*p**2 + k + 4*p.
2*(p + 5)**2/5
Let v(k) = -2*k**2 + 8*k. Let j = -52 + 58. Suppose -g - 3*y = -j, -2*g + 4*y = g - 5. Let b(l) = 3*l**2 - 17*l. Let x(q) = g*b(q) + 7*v(q). Factor x(d).
-5*d*(d - 1)
Let t(z) = z + 121. Let o be t(0). Suppose 6 = 5*k - 19, -v - 2*k = -12. Find d such that -2*d**4 + o*d + d**3 - 119*d - 3*d**3 + 2*d**v = 0.
-1, 0, 1
Let n(l) = -l**3 - 6*l**2 - 6*l - 3. Let s be n(-5). Let r be 20/36*(-9936)/(-1840). Factor r*o**3 + 16/3 + 16*o**s + 52/3*o.
(o + 4)*(3*o + 2)**2/3
Let f(s) be the second derivative of -37/70*s**5 - 26/21*s**4 - 1/15*s**6 + 3 + 0*s**2 - 4/7*s**3 - 35*s. Determine d so that f(d) = 0.
-3, -2, -2/7, 0
Let y(p) be the second derivative of 43*p + 0*p**2 + 1/105*p**6 + 0*p**4 + 0*p**3 + 0 + 0*p**5. Let y(a) = 0. Calculate a.
0
Suppose 20*b - 54 = 2*b. Suppose -37*j**b - 27*j + 14*j**3 - 6 - 631*j**4 - 19*j**3 - 48*j**2 - 3*j**5 + 613*j**4 = 0. What is j?
-2, -1
Let c(o) = 4*o**2 - 14*o + 1 - 4 + 59*o**3 - 61*o**3. Let m(p) = p**3 - 4*p**2 + 13*p. Let k(b) = 4*c(b) + 6*m(b). What is n in k(n) = 0?
-6, 1
Let y be 486/234 - (-2)/(-26). Let b(t) be the first derivative of 1/3*t**3 - 1/2*t**y - 2*t - 7. Solve b(u) = 0.
-1, 2
Factor -1331 - 1331 - 2*n**2 + 2662 - 1340*n.
-2*n*(n + 670)
Let q(v) be the first derivative of -5*v**4/4 + 155*v**3/3 - 935*v**2/2 - 4335*v - 135. Factor q(n).
-5*(n - 17)**2*(n + 3)
Let f(j) = 3754*j - 123879. Let k be f(33). Determine r, given that 0*r**k + 0 - 2*r**4 - 1/2*r + 3/2*r**2 = 0.
-1, 0, 1/2
Factor -71 + 7 - 3*k**3 - 26 - 42*k**2 - 12*k**3 - 129*k + 12*k**3.
-3*(k + 1)*(k + 3)*(k + 10)
Suppose -16*n = 2 - 18 - 48. Let f(y) be the first derivative of 0*y + 2/25*y**5 - 2/5*y**2 - 15 + 1/5*y**n - 2/15*y**3. Solve f(k) = 0.
-2, -1, 0, 1
Suppose -4*a = -6*z - 24, -67*a + 5*z = -68*a - 7. Suppose -l**4 + 0 + 5/3*l**a + 2/3*l**2 + 0*l = 0. Calculate l.
-1/3, 0, 2
Let z(d) be the third derivative of d**8/1344 - d**7/126 + d**6/48 + 9*d**4/8 - 96*d**2. Let q(f) be the second derivative of z(f). Factor q(p).
5*p*(p - 3)*(p - 1)
Let y(l) be the third derivative of l**8/168 + l**7/35 - 5*l**6/12 + 7*l**5/10 + 5282*l**2. Factor y(m).
2*m**2*(m - 3)*(m - 1)*(m + 7)
Factor 0 - 3/4*k + 1/4*k**2.
k*(k - 3)/4
Suppose -8*z + 2*z + 750 = 0. Let d = 130 - z. Determine w so that 4*w**2 + d*w**3 - 4*w**2 - 10*w**4 = 0.
0, 1/2
Let q(d) = 10*d**3 - 47*d**2 + 9*d. Let g(w) = 5*w**3 - 23*w**2 + 6*w. Let i(z) = 7*g(z) - 3*q(z). Let i(y) = 0. Calculate y.
0, 1, 3
Let 12/5*a**4 + 7/5*a**3 - 56 - 492/5*a - 218/5*a**2 - 1/5*a**5 = 0. Calculate a.
-2, -1, 7, 10
Suppose 20 = -4*b, 0 = 5*z + 7*b - 3*b. Suppose -z*l + 7 = 3. Let -15*u - 8*u - l + u**4 + 2*u**3 + 21*u = 0. What is u?
-1, 1
Let m be (297/330 + (-6)/4)/(37/10 + -4). Factor 1/4*u**3 + 1/8*u**4 - 11/8*u**m + 9/2 - 3/2*u.
(u - 2)**2*(u + 3)**2/8
Let r(i) be the second derivative of 6*i**6/5 + 8*i**5 + 38*i**4/3 - 16*i**3/3 - 30*i**2 - 1494*i - 2. Factor r(o).
4*(o + 1)**2*(o + 3)*(9*o - 5)
Let q(p) = -5*p**2 - p - 4. Let h(a) = -29*a**2 - 24. Let i(m) = -h(m) + 6*q(m). Suppose i(t) = 0. Calculate t.
-6, 0
Let z(s) be the first derivative of s**4/30 - 7*s**3/45 - 2*s**2/5 - 133*s - 41. Let k(m) be the first derivative of z(m). Factor k(b).
2*(b - 3)*(3*b + 2)/15
Let a(t) be the first derivative of 2*t**3/9 - 913*t**2/3 - 1828*t/3 + 84. Factor a(j).
2*(j - 914)*(j + 1)/3
Let -1/4*h + 3/8*h**4 + 1/8*h**5 + 1/8*h**3 + 0 - 3/8*h**2 = 0. Calculate h.
-2, -1, 0, 1
Let c(j) be the third derivative of j**5/36 - 7795*j**4/36 + 12152405*j**3/18 - j**2 + 30*j + 5. What is v in c(v) = 0?
1559
Let h(k) be the third derivative of 0*k**3 - 1/10*k**6 - 1/2*k**4 + 203*k**2 - 17/20*k**5 + 0 + 0*k. Factor h(l).
-3*l*(l + 4)*(4*l + 1)
Suppose 2*f + 5*v = 161, -3*v = 8*f - 3*f - 431. Factor -52*p - 11 + f*p + 25 - 49*p - p**2.
-(p - 1)*(p + 14)
Let r(n) be the second derivative of n**4/6 - n**3/6 + n**2/2 + 2*n + 3. Let s(x) = -7*x + 8. Let u(k) = -4*r(k) + 2*s(k). Factor u(o).
-2*(o + 2)*(4*o - 3)
Let j(v) be the second derivative of -v**7/189 - 4*v**6/135 - v**5/30 + 2*v**4/27 + 4*v**3/27 - 10*v - 2. Suppose j(g) = 0. What is g?
-2, -1, 0, 1
Let o(h) = h**3. Let u(f) = 3*f**4 + 276*f**3 - 3*f**2 - 273*f. Let l(x) = 3*o(x) - u(x). Factor l(b).
-3*b*(b - 1)*(b + 1)*(b + 91)
Let j = 225 - 233. Let l be (-1 + j/(-8))*1. Solve -4/5*v**2 + 2/5*v**4 + 2/5 + l*v + 0*v**3 = 0.
-1, 1
Factor 551*f + 991*f - 4*f**2 + 961*f - 3088 + 589*f.
-4*(f - 772)*(f - 1)
Let l be ((-252)/(-8))/7 - 99/957*29. Suppose 1/4*f**2 - 5/4*f - l = 0. What is f?
-1, 6
Let j(h) be the second derivative of -h**7/49 - 6*h**6/7 - 171*h**5/70 - 2*h**4 + 3762*h. Solve j(k) = 0.
-28, -1, 0
Let t(j) be the first derivative of 4*j**5/5 - 430*j**4 + 184900*j**3/3 + 638. Suppose t(b) = 0. Calculate b.
0, 215
Let c be -21 + (-36905)/244*(-16)/88. Let -1/2*t**5 - c*t**2 + 1/2*t**3 + 0 + 0*t + 13/2*t**4 = 0. What is t?
-1, 0, 1, 13
Let r = -1007/657 + 120/73. Let s(f) be the third derivative of 1/18*f**4 + r*f**3 + 1/90*f**5 + 11*f**2 + 0*f + 0. F