167)
Solve 38/5*g**3 + 68/5 - 66/5*g**2 - 2/5*g**4 - 38/5*g = 0.
-1, 1, 2, 17
Suppose f + 3*f + 3*u - 4 = 0, 5*f = 2*u + 28. Let w be (-118)/(-38) + ((-16)/38)/f. Factor 0*h - 15/7*h**w + 0 + 6/7*h**2.
-3*h**2*(5*h - 2)/7
Let j(p) = -8*p + 1. Let q be j(1). Let s be (25 - -3)/q*(-2)/20. Let 0*n - 8/15 - 2/15*n**3 + s*n**2 = 0. What is n?
-1, 2
Find y, given that -2/23*y**3 + 0 + 44/23*y**2 + 0*y = 0.
0, 22
Let f be -16 + 16 - (-8)/48. Let a(u) be the second derivative of -f*u**4 - 9*u + 10/3*u**3 + 0 - 25*u**2. Factor a(n).
-2*(n - 5)**2
Let n = -567 + 568. Let v(i) = -4*i**5 - i**4 + 3*i**3 + 6*i**2 + 3*i. Let h(j) = -j**4 - j**3 - 2*j**2 - j. Let c(a) = n*v(a) + 3*h(a). Factor c(f).
-4*f**4*(f + 1)
Let j be -13 + (-8)/(2392/(-6487)). Determine d, given that j*d**2 - 2/23*d**3 - 5000/23*d + 0 = 0.
0, 50
Let j(h) = h**3 + 9*h**2 + 8*h + 5. Let n be j(-8). Suppose 0*o = n*o. Let o - 4/3*i**5 + 4/3*i**2 - 4*i**3 + 0*i + 4*i**4 = 0. Calculate i.
0, 1
Let b = -163568/5 - -32716. Determine a so that 4/5 + 9/5*a**2 + b*a = 0.
-2/3
Let q = -2218 + 2220. Let t(z) be the first derivative of -24 + 4/5*z**q - 24/5*z - 2/45*z**3. Suppose t(v) = 0. Calculate v.
6
Let k(q) = -8*q**2 - 95*q - 229. Let t be k(-4). Let o(s) be the second derivative of 4*s**2 + t*s + 0 - 4*s**3 + 5/6*s**4. Let o(i) = 0. Calculate i.
2/5, 2
Let l = -46649/150 + 311. Let y(x) be the third derivative of 0*x**3 + 1/10*x**4 - 2/75*x**5 + 0*x - 29*x**2 - l*x**6 + 0. Determine j so that y(j) = 0.
-3, 0, 1
Let r be 399/228*(-282)/(-77). Let b = 76/11 - r. Solve 5/8*a**2 + 1/8*a**3 + a + b = 0.
-2, -1
Let y be 3704/16 - (-15)/6. Let f = -234 + y. Determine r, given that 0*r + 2/5*r**5 + f*r**4 + 0*r**2 + 0*r**3 + 0 = 0.
0
Let w(k) be the first derivative of 3*k**5/5 - 27*k**4/2 - 84*k**3 - 132*k**2 + 1012. Factor w(b).
3*b*(b - 22)*(b + 2)**2
Let o be 4/2 - (-3)/((-18)/(-102)). Let j = 23 - o. Factor -8*m + j*m**3 + 0*m**3 - 6*m**2 + 0*m**4 + 8 + 0*m + 2*m**4.
2*(m - 1)**2*(m + 2)**2
Let d be ((-18)/8)/((-9)/12). Factor 10*m - m**5 + 2*m - m - 3*m**d - 10*m**2 - 3*m + 2*m**5 + 4*m**4.
m*(m - 1)**2*(m + 2)*(m + 4)
Suppose -5*v - 78 + 533 = 0. Suppose -76*n = -69*n - v. Suppose 28 + 33*f**2 - 37*f**2 + 20 + n*f - 4*f**3 + 19*f = 0. Calculate f.
-2, 3
Let h be (-247)/(-1482) - 5/(32 - 2). Factor -8/9*y**2 + h - 2/9*y**4 - 8/9*y**3 + 0*y.
-2*y**2*(y + 2)**2/9
Let w(h) be the third derivative of 2*h**7/105 + 4*h**6/5 - 36*h**5/5 + 56*h**4/3 + h**2 + 2545. Factor w(j).
4*j*(j - 2)**2*(j + 28)
Let l(i) be the first derivative of -5*i**4/12 + 5*i**3 - 25*i**2/2 - 26*i + 11. Let o(n) be the first derivative of l(n). Factor o(c).
-5*(c - 5)*(c - 1)
Let c(p) = p**4 + 2*p + 1. Let s(d) = d**2 - 6*d + 10. Let m be s(3). Let o(q) = -6*q**4 - 2*q**3 - q**2 - 10*q - 5. Let h(l) = m*o(l) + 5*c(l). Factor h(y).
-y**2*(y + 1)**2
Let g be (1/4)/(1/(-8)). Let r be g/(-4) - ((-135)/18 + 5). What is n in -2/11 - 10/11*n - 12/11*n**4 + 14/11*n**2 + 10/11*n**r = 0?
-1, -1/6, 1
Let i(c) = -29*c**2 + 110*c + 19. Let g(m) = 260*m**2 - 980*m - 170. Let s(l) = -6*g(l) - 55*i(l). Suppose s(d) = 0. What is d?
-1/7, 5
Suppose -5*q - 17 = -27. Factor 5*r**2 + 8*r**3 - 68*r**4 + 141*r**4 - 69*r**4 - r**q.
4*r**2*(r + 1)**2
Suppose 30*h + 110 = 20*h. Let d be (-1 + h)/6 + 20/6. Factor -1/3*i**4 - 4*i - d - 13/3*i**2 - 2*i**3.
-(i + 1)**2*(i + 2)**2/3
Let d(f) = 74*f**2 - 3187*f - 613. Let h(w) = 49*w**2 - 2127*w - 409. Let o(z) = -7*d(z) + 11*h(z). Factor o(i).
(i - 52)*(21*i + 4)
Let b(f) be the third derivative of -f**6/30 + 199*f**5/5 + 399*f**4/2 + 1198*f**3/3 + 3633*f**2. Factor b(z).
-4*(z - 599)*(z + 1)**2
Let c(f) = -24*f**3 + 18*f**2 - 3*f + 9. Let s(j) = -13*j**3 + 9*j**2 - j + 5. Let q be (-3*1)/(1/((-15)/9)). Let h(y) = q*c(y) - 9*s(y). Factor h(z).
-3*z*(z - 2)*(z - 1)
Let h(u) = 28*u - 25*u**2 + 8*u**3 - 8*u - 3*u**2. Let p(z) = 105*z**3 - 365*z**2 + 260*z. Let s(g) = 40*h(g) - 3*p(g). Determine i, given that s(i) = 0.
0, 1, 4
Let f(r) be the third derivative of r**7/70 + 53*r**6/40 + 87*r**5/2 + 979*r**4/2 - 2420*r**3 + 3033*r**2. Factor f(z).
3*(z - 1)*(z + 10)*(z + 22)**2
Let q(n) = 35*n**3 - 35*n**2 - 75*n - 45. Let p(k) be the second derivative of k**5/10 - k**3/6 - k**2/2 + k + 185. Let z(a) = 20*p(a) - q(a). Factor z(l).
5*(l + 1)**2*(l + 5)
Let l = 29766 - 148826/5. Factor 1/5*t**3 - 1/5*t - 4/5 + l*t**2.
(t - 1)*(t + 1)*(t + 4)/5
Let l be 2*1/(-2) - (-191 - -188). Factor 14/11*r + 6/11 + 2/11*r**3 + 10/11*r**l.
2*(r + 1)**2*(r + 3)/11
Let a(p) be the second derivative of p**4/48 + 59*p**3/12 + 117*p**2/8 - 968*p. Factor a(m).
(m + 1)*(m + 117)/4
Solve -5/3*z + 1/3*z**2 - 42 = 0.
-9, 14
Factor 2/9*k**2 + 20/3 - 26/9*k.
2*(k - 10)*(k - 3)/9
Let l(r) be the third derivative of r**6/200 + 3*r**5/25 + 21*r**4/40 - 49*r**3/5 - 34*r**2 - 9. Factor l(n).
3*(n - 2)*(n + 7)**2/5
Let j(o) = -541*o**2 - 1087*o + 2. Let k be j(-2). Factor -k + 3/2*q**2 + 21/2*q.
3*(q - 1)*(q + 8)/2
Factor -278/5*f + 277/5 + 1/5*f**2.
(f - 277)*(f - 1)/5
Let b be (-1)/((-1)/(-2)) - (-13 + 8). What is p in -81 + 5*p**2 + 2*p**2 - b*p**2 - 5*p**2 + 18*p = 0?
9
Find s such that 9848*s**2 - 1770*s - 3 - 8813*s**2 + 3 + 5*s**3 - 3530*s = 0.
-212, 0, 5
Suppose 0 = 67*s - 57*s + 630. Let u be -2 + 36/s - 9/(-3). Suppose -3/7*v**4 + 3/7*v**2 - u*v**5 + 0*v + 0 + 3/7*v**3 = 0. Calculate v.
-1, 0, 1
Let q(i) be the third derivative of i**6/24 + 6*i**5 + 2755*i**4/8 + 30685*i**3/3 - i**2 + 493*i - 2. Let q(g) = 0. What is g?
-34, -19
Let m = 55915 + -167738/3. Factor 4*q**2 + 1/3 - m*q.
(3*q - 1)*(4*q - 1)/3
Suppose -7/5*n - 4/5*n**4 - 3/5 + 19/5*n**2 - n**3 = 0. What is n?
-3, -1/4, 1
Let z be 210/(-504)*1/(-5). Let b(t) be the third derivative of z*t**5 + 0*t - 16*t**2 - 25/12*t**4 + 125/6*t**3 + 0. Factor b(c).
5*(c - 5)**2
Solve 1587/2 + 7349/3*l**2 + 863*l**3 + 4807/2*l + 47/2*l**4 + 1/6*l**5 = 0 for l.
-69, -1
Let h(j) be the first derivative of 7/20*j**5 + 3/4*j**2 + 47/16*j**4 + 0*j + 215 + 37/12*j**3 - 3/8*j**6. Find u such that h(u) = 0.
-1, -2/9, 0, 3
Let k(g) = 8*g**3 - 24*g - 4. Suppose 15*d + 30 = 10*d. Let o(m) = m**3 + m**2 - m + 1. Let x(y) = d*o(y) + k(y). Factor x(w).
2*(w - 5)*(w + 1)**2
Suppose 3*h = -z + 562 - 539, 4*z + 2*h = 22. Factor 14/3*l + 0 - 2/3*l**z.
-2*l*(l - 7)/3
Let -83232/5 - 816/5*x - 2/5*x**2 = 0. What is x?
-204
Let x(f) be the first derivative of 3*f**4/4 + 18*f**3 - 405*f**2/2 + 648*f - 262. Let x(i) = 0. Calculate i.
-24, 3
Let m(x) be the second derivative of 0 - 3/20*x**5 + 0*x**6 + 0*x**2 + 0*x**3 + 1/6*x**4 + 1/42*x**7 - 87*x. Factor m(a).
a**2*(a - 1)**2*(a + 2)
Let f be (-1940)/70 + -73 + 103. Solve 2/7*t**2 + 12/7*t + f = 0 for t.
-4, -2
Factor -1294/13*y + 2/13*y**2 + 1292/13.
2*(y - 646)*(y - 1)/13
Factor -13*s**2 + 51/2 - 49/4*s - 1/4*s**3.
-(s - 1)*(s + 2)*(s + 51)/4
Suppose 26*z - 220 = -18*z. Suppose -5*k = a - 13, 0*k - 4*a + 22 = z*k. Factor 1 - d**k + 1/2*d - 1/2*d**3.
-(d - 1)*(d + 1)*(d + 2)/2
Suppose 4*s + 1368 = -2*n, 0 = 2*n + s + 420 + 933. Let a = 678 + n. Suppose 0 - 1/2*t**3 + 3/2*t**a + t - 1/2*t**5 - 3/2*t**2 = 0. Calculate t.
-1, 0, 1, 2
Let r be (-12)/6*(210/(-18))/(-35)*6/(-10). Let h = 4 + -1. Factor 2*z**h + 8/5*z + 16/5*z**2 + 0 + r*z**4.
2*z*(z + 1)*(z + 2)**2/5
Let l(x) be the first derivative of -x**4/6 + 32*x**3/3 + 33*x**2 + 58*x - 93. Let c(d) be the first derivative of l(d). Factor c(n).
-2*(n - 33)*(n + 1)
Let h(g) be the second derivative of -1/6*g**6 + 35/2*g**2 + 20/3*g**3 - 2*g - 5/2*g**4 - 34 - 2*g**5. What is b in h(b) = 0?
-7, -1, 1
Let n(g) be the first derivative of -3*g**3 - 13179*g**2/2 - 4392*g - 4073. Factor n(h).
-3*(h + 1464)*(3*h + 1)
Let s(m) = m**3 - 3*m**2 - 9*m + 9. Let j be s(5). Let g be 3/24*j + (-4)/(-16). Factor t - 2*t**g - 4*t**2 - 6*t + 6 + 7*t - 2*t**3.
-2*(t - 1)*(t + 1)*(t + 3)
Let x(g) be the first derivative of 64*g**6/9 + 257*g**5/15 + 65*g**4/6 + g**3/9 + 2254. Find f, given that x(f) = 0.
-1, -1/128, 0
Let g(j) be the second derivative of j**6/480 + j**5/40 + j**4/8 + 17*j**3/6 - 94*j. Let p(n) be the second derivative of g(n). Factor p(w).
3*(w + 2)**2/4
Let r be (37 - 35)*(-2 + 3 + 0). Find o, given that 34 + 16*o + 30 - 15*o - 69*o + 4*o**r = 0.
1, 16
Let s(b) be the third derivative of 0*b + 4 - 4*b**2 + 1/60*b**5 