-1200 - -1204. Let g(k) = x*b(k) + 5*c(k). Determine t so that g(t) = 0.
-1/4, 2
Suppose 0 = -2127*l + 1506*l + 1863. Let 10/23*k + 14/23*k**2 - 10/23*k**l - 12/23*k**4 - 2/23 = 0. What is k?
-1, 1/6, 1
Let n(r) be the third derivative of 0*r - 1/1512*r**8 - 2/945*r**7 + 2/135*r**5 + 2 - 1/27*r**4 + 4*r**2 + 0*r**3 + 1/180*r**6. Factor n(t).
-2*t*(t - 1)**2*(t + 2)**2/9
Let r(t) = -4*t**3 + 84*t**2 - 120*t + 2524. Let f be r(21). Suppose 7*c**2 + 11/5*c**3 + 0 + 1/5*c**f + 5*c = 0. What is c?
-5, -1, 0
Let n = -2929841/16653 + 6881/39. Let w = -1/854 + n. Determine a, given that w*a**2 + 0 + 3/2*a = 0.
-3, 0
Let f be -5*4/4 - -17. Suppose f*x + 16*x - 84 = 0. Factor -4/3*j**x - 2/9*j**5 + 0 + 8/9*j**4 + 8/9*j**2 - 2/9*j.
-2*j*(j - 1)**4/9
Let g(c) = 3*c**2 - 180*c - 764. Let q be g(64). Let h = -62 - -249/4. Factor 1/8*y**q + 0 + 0*y - h*y**2 + 1/8*y**3.
y**2*(y - 1)*(y + 2)/8
Let i = 375184/156335 - -4/31267. Suppose 9/5 + 3/5*s**2 - i*s = 0. What is s?
1, 3
Let w(g) be the third derivative of -g**7/630 + g**6/18 - 31*g**5/60 + 65*g**4/36 - 28*g**3/9 + 1559*g**2 - 1. Find y, given that w(y) = 0.
1, 4, 14
Let n(k) = -2*k + 34. Let q be n(7). Suppose 0*t + 4*r = t + 13, -5*r + q = 0. Factor -4/9*b - 2/3*b**2 + 0 - 2/9*b**t.
-2*b*(b + 1)*(b + 2)/9
Let r(n) be the first derivative of -n**3/9 + 2*n**2 - 9*n - 821. Factor r(g).
-(g - 9)*(g - 3)/3
Let g(w) = 4*w**2 - 318*w + 15. Let m(s) = -6*s**2 + 478*s - 21. Let d(r) = 7*g(r) + 5*m(r). Factor d(p).
-2*p*(p - 82)
Let p = -29 - -31. Suppose -3*r + 0 - 15 = -p*t, -3*t + r + 5 = 0. Factor -2*g + 6*g + 4*g**2 - 8 + t*g + 0*g.
4*(g - 1)*(g + 2)
Suppose -2477538/5 + 4452/5*n - 2/5*n**2 = 0. Calculate n.
1113
Let s(u) be the third derivative of u**5/270 + 7*u**4/18 + 13*u**3/3 - 6*u**2 - 72*u. Let s(z) = 0. Calculate z.
-39, -3
Let p = -176283/11 - -532259/33. Factor 0 + 4805/3*d + 5/3*d**3 + p*d**2.
5*d*(d + 31)**2/3
Let m be 9 - 1519/168 - 1314/(-432). Find a, given that -27*a + 9*a**2 + 0 - 3/4*a**m = 0.
0, 6
Let b(a) be the third derivative of -a**5/30 - 13*a**4/3 - 17*a**3 - 1837*a**2. Suppose b(w) = 0. Calculate w.
-51, -1
Let o = 2618 - 104717/40. Let y(q) be the third derivative of 0*q - 15*q**2 - o*q**6 - 1/70*q**7 + 0*q**4 + 0 + 0*q**3 + 0*q**5. Factor y(b).
-3*b**3*(b + 3)
Let z be ((-822)/(-4))/(9/12). Factor -z*a**2 + 138*a**2 + 0 + 0 + 140*a**2 - 52*a.
4*a*(a - 13)
Let v be (-8)/36 - ((-141)/27 - -5). Factor -1318 + v*p**3 + 82*p**2 + 436 + 3*p**3 + 798*p - p**3.
2*(p - 1)*(p + 21)**2
Find f such that 126*f**2 - 1436*f - 704*f - 155*f**2 - 860 + 54*f**2 = 0.
-2/5, 86
Suppose 261 = 38*p - 9*p. Find v such that 11*v**5 - 185*v**3 + p*v**5 - 135*v**2 - 58 + 45*v + 58 + 15*v**4 = 0.
-3, -1, 0, 1/4, 3
Let m be (2/(-90))/(5/(-30))*(-1350)/(-630). Let -4/7*y - 96/7 + m*y**2 = 0. Calculate y.
-6, 8
Let l(b) be the third derivative of b**5/120 + 841*b**4/48 + 5*b**2 + 4*b - 7. Factor l(g).
g*(g + 841)/2
Let f(q) be the third derivative of -5*q**8/112 - 821*q**7/42 - 56033*q**6/24 + 18769*q**5/12 - 3*q**2 - 3*q + 55. Factor f(k).
-5*k**2*(k + 137)**2*(3*k - 1)
Let w = 158/3105 + -1/23. Let p(f) be the third derivative of 0*f**4 - 3*f**2 + 0*f**3 + 0*f + 1/540*f**6 + w*f**5 + 0 - 1/63*f**7. Factor p(v).
-2*v**2*(3*v + 1)*(5*v - 2)/9
Let d(s) = 17*s - 1. Let h be d(2). Let t(g) = -39*g + 433. Let c be t(11). Factor 11*a**3 + 26*a**c - 63*a**4 + h*a**4 + 3*a**2.
-a**2*(a - 3)*(4*a + 1)
Determine o, given that -266/3*o**2 + 0 + 88*o + 2/3*o**3 = 0.
0, 1, 132
Determine b so that -2/9*b**5 + 0 + 14/3*b**3 - 8/3*b**4 - 104/3*b + 184/9*b**2 = 0.
-13, -3, 0, 2
Let g(j) = j**4 - 416*j**3 - 11334*j**2 - 109368*j - 98421. Let h(r) = -r**4 + r**3 - r**2 + 3*r + 1. Let k(f) = g(f) + 6*h(f). Factor k(i).
-5*(i + 1)*(i + 27)**3
Let k = -1373053/3 - -457696. Determine q, given that 0 - k*q**3 + 0*q + 0*q**2 - 1/3*q**4 = 0.
-35, 0
Suppose 3*t + 67 = 2*g, -2*t + 87 + 7 = 3*g. Let n = -6 + g. Factor 20*f**3 - n*f**2 + 2*f**2 + 10*f - 6*f**4 - f**2 + f**4.
-5*f*(f - 2)*(f - 1)**2
Let p(v) be the first derivative of -38*v**2 - 107 - 136*v - 4/3*v**3. Factor p(i).
-4*(i + 2)*(i + 17)
Let m = -293 - -962. Let g = -2005/3 + m. Let 1/3*o**5 + 0*o**4 - g*o**3 + 0 + 1/3*o + 0*o**2 = 0. What is o?
-1, 0, 1
Let n be ((-16)/(-28))/(4/(-14))*(-27)/12. Let t(m) be the second derivative of -n*m**2 + 16*m + 0 - 1/48*m**4 + 1/2*m**3. Factor t(a).
-(a - 6)**2/4
Let d(u) = -4*u**2 + 1. Let o(k) = 6*k**2 + 82*k - 565. Let z(b) = d(b) + o(b). Factor z(x).
2*(x - 6)*(x + 47)
Determine j, given that -496/9*j**2 + 388/9*j**3 + 0*j - 74/9*j**4 + 0 + 2/9*j**5 = 0.
0, 2, 4, 31
Let h(w) = -1. Let x be (4 + -4)/(1/(-1)*-2). Let t(k) = 45*k**2 - 44*k**2 + x + 2. Let b(u) = -2*h(u) - t(u). Suppose b(m) = 0. What is m?
0
Let x(k) be the first derivative of k**6/27 - 38*k**5/45 - 2*k**4 + 2432*k**3/27 + 3584*k**2/9 + 1568*k/3 - 2882. Find f such that x(f) = 0.
-6, -2, -1, 14
Find a such that -56/3*a + 0 + 218/9*a**2 - 52/9*a**3 + 2/9*a**4 = 0.
0, 1, 4, 21
Let y = 413 + -407. Let d be (59/(-1239))/(-1*2/y). What is m in 4/7*m**2 + 0*m - d*m**4 + 1/7*m**5 - 4/7*m**3 + 0 = 0?
-2, 0, 1, 2
Suppose -105*v = 1287 - 1497. Factor 7/3*r**v - 37/3*r + 10/3.
(r - 5)*(7*r - 2)/3
Let h(x) = 5*x**2 + x + 2. Let t(k) = -11*k**2 + 14*k - 32. Let y(m) = 10*h(m) + 5*t(m). Suppose y(v) = 0. Calculate v.
2, 14
Let h(a) = 25*a**2 + 25111*a - 9. Let c(p) = 56*p**2 + 56500*p - 20. Let n(q) = -9*c(q) + 20*h(q). Factor n(f).
-4*f*(f + 1570)
Factor -3/7*h**2 + 2400/7 - 3*h.
-3*(h - 25)*(h + 32)/7
Let b = -98852/3 + 32953. Let -16/3 + b*m**3 - 14*m + 17*m**2 = 0. Calculate m.
-8, -2/7, 1
Let z(s) be the third derivative of s**7/945 + 758*s**6/135 + 1149128*s**5/135 + 8792*s**2. Suppose z(a) = 0. What is a?
-1516, 0
Let n(i) = 9*i**2 - 22*i**3 - 93 + 167 - i**4 - 83. Let g(y) = -6*y**3 + 2*y**2 - 2. Let x(j) = 18*g(j) - 4*n(j). Factor x(a).
4*a**3*(a - 5)
Let q be (8559/(-540) - -16)*20. Factor 23*c + 100/3*c**3 - 160/3*c**2 - q.
(c - 1)*(10*c - 3)**2/3
Let o = 64 + -14. Let v = o - 43. Let m(w) = -15*w**2 + 128*w - 512. Let q(j) = -7*j**2 + 64*j - 256. Let h(x) = v*q(x) - 3*m(x). Find c, given that h(c) = 0.
8
Let m(k) = -2*k - 44. Let h be m(-24). Let y(l) be the first derivative of -2*l**h + 4*l**2 - 4/3*l**3 + 13 + 4/5*l**5 + 0*l. Factor y(n).
4*n*(n - 2)*(n - 1)*(n + 1)
Let i be (79/(-790))/(4/30)*(-3 - 1). Let m(l) be the third derivative of 1/3*l**4 + 0 - 2*l**i + 1/15*l**5 + 0*l - 2*l**2. Factor m(k).
4*(k - 1)*(k + 3)
Let z(q) be the first derivative of q**6/21 + 2*q**5/7 + 9*q**4/14 + 2*q**3/3 + 2*q**2/7 + 1064. Solve z(b) = 0 for b.
-2, -1, 0
Suppose a - 3 = -5*s + 30, -18 = -3*s. Let p(v) be the third derivative of 0*v**4 + 0 + 0*v + 0*v**a - 3*v**2 + 1/5*v**5 - 1/15*v**6 - 2/105*v**7. Factor p(h).
-4*h**2*(h - 1)*(h + 3)
Let s be ((-22)/(-16))/(-11) - 25/((-14400)/264). Solve -125/3 + s*a**3 - 5*a**2 + 25*a = 0.
5
Let x(y) be the third derivative of y**5/240 + y**4/8 - 16*y**2 - 4. Solve x(u) = 0.
-12, 0
Let k = 240067/400120 - -1/80024. Find t, given that 0 + 4/5*t**4 + k*t - 4/5*t**2 - 2/5*t**3 - 1/5*t**5 = 0.
-1, 0, 1, 3
Let q(k) be the third derivative of -k**7/70 - 19*k**6/40 - 39*k**5/10 + 35*k**4/2 + 100*k**3 + k**2 - 7*k + 1. Factor q(j).
-3*(j - 2)*(j + 1)*(j + 10)**2
Let t(l) be the second derivative of -l**8/3360 - l**7/60 - 13*l**6/120 - 19*l**5/60 - 3*l**4/2 + 43*l. Let h(i) be the third derivative of t(i). Factor h(y).
-2*(y + 1)**2*(y + 19)
Let j(x) be the second derivative of 49*x**7/24 + 49*x**6/6 - 11333*x**5/80 - 5057*x**4/24 - 731*x**3/6 - 35*x**2 - 3*x + 2. Let j(n) = 0. Calculate n.
-7, -2/7, 5
Let c be 3/(-9)*-12 - -18. Find p such that 11*p - c*p - 10*p**2 - 20*p**4 + 76*p - 5*p**4 + 35 - 70*p**3 + 5*p**5 = 0.
-1, 1, 7
Let o = 1116 + -1114. Let u = 8/3 - o. Factor -1/3*a - 2/3 + 1/3*a**3 + u*a**2.
(a - 1)*(a + 1)*(a + 2)/3
Let u(p) = -5*p**2 + 809 - 5*p**2 + 1222 + 14*p**2 - 3*p**2 + 81*p. Let j(o) = -3*o + 2. Let r(z) = 3*j(z) - u(z). Factor r(h).
-(h + 45)**2
Let h(o) = -10*o**4 + 244*o**3 - 1167*o**2 + 1839*o - 880. Let a(u) = 5*u**4 - 123*u**3 + 584*u**2 - 918*u + 440. Let m(y) = -13*a(y) - 6*h(y). Factor m(x).
-5*(x - 22)*(x - 2)**2*(x - 1)
Let u = 738473/30 + -123078/5. Factor 17/6*r + 2 + 1/6*r**4 - 5/6*r**3 - u*r**2.
(r - 4)*(r - 