at z(y) = 0.
579
Suppose 11*s - 63 = 18*s + 3*v, 3*v = -s - 9. Let j be 450/1225*(-42)/s. Find d, given that 32/7*d**2 - 2/7*d**5 - 4*d**3 + j*d**4 - 18/7*d + 4/7 = 0.
1, 2
Let u be (-10 - (-453)/45) + 0. Let k(c) be the first derivative of 14 + 8/45*c**3 + 0*c - u*c**2. Suppose k(v) = 0. Calculate v.
0, 1/4
Let n(y) = -y**2 + 15*y - 22. Let x be n(8). Let q = -5 + 8. Factor -96*k**2 - 4 - x*k - 118*k**q - 76*k**4 - 19*k**3 - 10*k**5 + 13*k**3 - 8*k**5.
-2*(k + 1)**4*(9*k + 2)
Let z = 20 + -13. Let f be (-2 - 6/(-4))*6 + z. Factor 14*t**5 - 72*t**3 - 3*t - 24*t**f - 120*t**2 - 17*t**5 + 24*t**2 - 45*t.
-3*t*(t + 2)**4
Let a(l) = -6*l**3 - 11*l**2 - 29*l - 40. Let k(h) = h**3 - 2*h - 1. Let c(t) = -3*a(t) - 15*k(t). Solve c(r) = 0.
-5, -3
Let m be 50/54 - 1 - (30822/891 - 35). Factor -14*h + 147 + m*h**2.
(h - 21)**2/3
Let 54/7*f**2 + 132/7*f - 2/7*f**3 - 464/7 = 0. Calculate f.
-4, 2, 29
Let r(d) be the third derivative of d**6/240 - 293*d**5/20 + 85849*d**4/4 - 50307514*d**3/3 - 4*d**2 + 217. Factor r(b).
(b - 586)**3/2
Factor 2122*q + 4760 - 20780 + 3030*q + 1917*q - 5*q**3 - 1909*q - 385*q**2.
-5*(q - 6)**2*(q + 89)
Let q(b) be the first derivative of -b**3/15 - 184*b**2/5 + 163. Factor q(z).
-z*(z + 368)/5
Let n(k) be the first derivative of k**6/45 - 2*k**5/25 - 32*k**4/15 - 464*k**3/45 - 112*k**2/5 - 352*k/15 + 5722. Factor n(f).
2*(f - 11)*(f + 2)**4/15
Let w be (-15)/9 - 747/(-432). Let m(b) be the third derivative of 35*b**2 - 1/20*b**5 + 1/80*b**6 + 1/2*b**3 + 0*b + 0 - w*b**4. Factor m(t).
3*(t - 2)*(t - 1)*(t + 1)/2
Suppose -8*d + 45*d + 4329 = 0. Let i be (5 + d/26)*0. Find j such that i + 4/3*j**3 + 4/3*j - 8/3*j**2 = 0.
0, 1
Let f(n) = -7*n**2 - 17484*n - 23218572. Let x(v) = -13*v**2 - 34770*v - 46437144. Let p(k) = -7*f(k) + 4*x(k). Let p(i) = 0. What is i?
-2782
Let n(b) be the first derivative of 16197/2*b**4 + 136 + 204838*b**3 + 1/2*b**6 + 543/5*b**5 - 1328397/2*b**2 + 680943*b. What is w in n(w) = 0?
-61, 1
Let c(r) be the third derivative of r**7/105 + 7*r**6/60 - 13*r**5/10 + 53*r**4/12 - 22*r**3/3 - 44*r**2 + r - 1. Factor c(n).
2*(n - 2)*(n - 1)**2*(n + 11)
Let b(y) be the third derivative of -1/90*y**5 + 0*y**3 + 0*y + 1/360*y**6 + 0 - 1/24*y**4 - 79*y**2. Factor b(d).
d*(d - 3)*(d + 1)/3
Let d(c) be the first derivative of -8*c**5/5 + 15*c**4 - 32*c**3 + 22*c**2 + 501. Factor d(w).
-4*w*(w - 1)**2*(2*w - 11)
Let b = 170 - 71. Factor 244 - 5*p**2 - 73*p + 174*p - 39 + b*p.
-5*(p - 41)*(p + 1)
Suppose -j - 39 = l - 52, l = -2*j + 26. Let c(d) be the second derivative of 1/40*d**6 + 3/4*d**2 + 3/80*d**5 - 3/16*d**4 - 1/8*d**3 + 0 + j*d. Factor c(g).
3*(g - 1)**2*(g + 1)*(g + 2)/4
Factor 0 + 47*h - 88*h - 2*h**4 - 72 - 97*h - 22*h**3 - 86*h**2.
-2*(h + 1)*(h + 3)**2*(h + 4)
Suppose 0 = 14*z - 31 - 25. Factor 29*c**4 + 15*c**2 + 33*c**z - 94*c**4 - 147*c + 174*c**2 + 35*c**4 - 45*c**3.
3*c*(c - 7)**2*(c - 1)
Let s be -2 - (6 + -5) - (-20017)/6660. Let c(x) be the third derivative of -1/36*x**4 + 11*x**2 + 0*x**3 + 0 - s*x**5 + 0*x. Find n such that c(n) = 0.
-2, 0
Let a(w) be the first derivative of -w**5/330 - w**4/3 - 44*w**3/3 + 49*w**2/2 - 113. Let n(v) be the second derivative of a(v). Factor n(u).
-2*(u + 22)**2/11
Let f(c) be the third derivative of 8/9*c**4 - 1/90*c**6 + 23*c**2 - 1/15*c**5 - 2*c - 8/3*c**3 + 0. Let f(b) = 0. Calculate b.
-6, 1, 2
Suppose 0 = r - a - 11, -3*a + 18 + 14 = 2*r. Suppose m = -4*s + r, 48*s - 14 = 46*s - 2*m. Factor 7/3*j - 2/3 + 4/3*j**s.
(j + 2)*(4*j - 1)/3
Let p(t) = -5*t**3 - t**2 + 11*t + 9. Let a(g) = -2*g**3 + g. Let s(y) = 2*a(y) - p(y). Find k such that s(k) = 0.
-3, -1, 3
Let o(k) = -3*k**3 + 1176*k**2 + 1137*k + 24. Let a(t) = 3*t**3 - 1175*t**2 - 1143*t - 20. Let j(h) = 6*a(h) + 5*o(h). Determine u so that j(u) = 0.
-1, 0, 391
Let r(t) be the first derivative of t**6/6 + 9*t**5/5 - 10*t**4 - 16*t**3 + 4694. Factor r(v).
v**2*(v - 4)*(v + 1)*(v + 12)
Find n, given that -2060*n + 4100 - 761*n**2 - 630*n**2 + 1396*n**2 = 0.
2, 410
Suppose 2*a = i + 5 - 3, 4 = 4*i + 4*a. Let q = 49727/59658 + -2/9943. Suppose -q*l**5 + 0*l**2 + 0 + 1/2*l**4 + 1/3*l**3 + i*l = 0. Calculate l.
-2/5, 0, 1
Let m(y) be the first derivative of -26 + 0*y + 135*y**4 + 2/15*y**6 + 900*y**3 + 0*y**2 + 36/5*y**5. Factor m(x).
4*x**2*(x + 15)**3/5
Let x = -6 + 10. Let s be -10 + 9 + 1 + x/2. Find n, given that -3/2*n**4 - 7/2*n**3 + 0*n**s + 0 + 2*n = 0.
-2, -1, 0, 2/3
Let j(f) = -38*f**2 - 298*f + 306. Let a(l) = 45*l**2 + 297*l - 306. Let c(z) = -5*a(z) - 6*j(z). Factor c(r).
3*(r - 1)*(r + 102)
Let z(a) be the third derivative of -a**5/40 + 131*a**4/16 + 201*a**3/2 + 5*a**2 + 159. Solve z(b) = 0.
-3, 134
What is x in -164*x**2 + 12*x - 101*x**3 - 29*x**3 + 155*x**3 + 27*x**4 = 0?
-3, 0, 2/27, 2
Let m(p) be the first derivative of -p**6/27 + 4*p**5/45 + 19*p**4/18 - 16*p**3/27 - 20*p**2/3 - 2906. Find u, given that m(u) = 0.
-3, -2, 0, 2, 5
Let n(t) = t**3 + t**2 + t - 6. Let o(s) = 18*s**3 + 10986*s**2 - 3154*s + 60. Let u(f) = 10*n(f) + o(f). Find v such that u(v) = 0.
-393, 0, 2/7
Let y(o) = o**4 + 33*o**3 - 58*o**2 - 110*o + 5. Let u(j) = j**4 + 33*j**3 - 55*j**2 - 111*j + 6. Let d(k) = -5*u(k) + 6*y(k). Factor d(q).
q*(q - 3)*(q + 1)*(q + 35)
Suppose -2*s - 8 = 0, -6*l + 4*s - 2126 = -3*l. Let a = -714 - l. Suppose 0 + 0*z**3 - 2/5*z**4 + 2/5*z**2 + a*z = 0. What is z?
-1, 0, 1
Let l(o) be the first derivative of 5/16*o**4 - 1/2*o**2 + 1/20*o**5 - 5/12*o**3 - 1/24*o**6 + o + 56. Suppose l(g) = 0. Calculate g.
-2, -1, 1, 2
Let v(b) be the second derivative of 1/70*b**5 - 2*b + 0*b**2 - 1/21*b**4 + 36 + 1/21*b**3. Solve v(o) = 0.
0, 1
Determine h so that -858*h**2 - 1014*h + 33*h**4 - 3/2*h**5 - 207/2*h**3 + 0 = 0.
-2, 0, 13
Let a be 13516/47306*(-1)/(-1 + 0). Suppose a*m**3 - 22/7*m + 4/7*m**2 - 24/7 = 0. Calculate m.
-4, -1, 3
Suppose 2*v = -7*v + 27. Suppose 4*g - 16*g**2 + v*g + 20 - 2*g - g = 0. What is g?
-1, 5/4
Let p(s) = s**3 - 465*s**2 + 2720*s + 15609. Let z be p(459). Suppose -20 = -5*y - 0*y. What is j in 28/3*j + 76/3*j**2 - 16/3*j**y + 20/3*j**z - 4 = 0?
-1, 1/4, 3
Let p be (-2)/21 + (-10 - (-7567)/735). Let t be -3 - (0 - (-68)/(-20)). Factor -2/5*q + p*q**4 + t*q**3 + 0 - 1/5*q**2.
q*(q - 1)*(q + 1)*(q + 2)/5
Let k(j) be the second derivative of -126*j + 0*j**2 - 2/15*j**6 - 39/5*j**5 + 0 + 0*j**4 + 0*j**3. Factor k(c).
-4*c**3*(c + 39)
Let q be (-116)/8*-1*(-240)/(-12). Let s = q + -1448/5. Solve -2/5*c**3 + 0 + s*c + 0*c**2 = 0.
-1, 0, 1
Let v(o) be the first derivative of o**6/6 + 7*o**5/5 - 27*o**4/2 + 76*o**3/3 + 20*o**2 - 96*o - 12673. Find c, given that v(c) = 0.
-12, -1, 2
Suppose 19*m + 8 = 23*m. Factor -14*r**2 - 16*r**2 + 9*r**2 - 3*r**3 + 588 - 9*r**m + 21*r.
-3*(r - 4)*(r + 7)**2
Let l(y) be the first derivative of 1/16*y**4 - 1/2*y**2 - 5 - 2*y + 1/6*y**3. Determine o so that l(o) = 0.
-2, 2
Determine t, given that -5/3*t**2 + 170/3*t - 475 = 0.
15, 19
Let u(m) = 4*m**4 + 18*m**3 + 27*m**2 + 22*m + 6. Let d(a) = a**4 + 3*a**3 + 2*a**2 + a. Let c(f) = 12*d(f) - 4*u(f). Factor c(n).
-4*(n + 1)**3*(n + 6)
Let u(j) be the third derivative of j**5/15 - 5*j**4 + 352*j**3/3 - 790*j**2. Factor u(d).
4*(d - 22)*(d - 8)
Let d(k) be the first derivative of 1/7*k**3 - 9/14*k**2 + 35 - 30/7*k. Find f such that d(f) = 0.
-2, 5
Let w(y) be the third derivative of y**5/300 + y**4/40 + y**3/15 - 3*y**2 + 536*y. Factor w(s).
(s + 1)*(s + 2)/5
Suppose 2*r = k + 26 + 12, 2*r + 4*k - 38 = 0. Let f be ((-3)/(-9))/(r/38). Factor f + 5/6*h + 1/6*h**2.
(h + 1)*(h + 4)/6
Suppose -1291*o = -9299 + 2844. Factor -1/2*x**o + 3/2*x**3 + 0*x - x**2 + 0 + 0*x**4.
-x**2*(x - 1)**2*(x + 2)/2
Let y be (-1 + 1 + -5)/(-1). Suppose -3*u + p + 4 = -p, -4*p + 14 = y*u. Find k such that -5*k - 20*k**u + 17*k**2 + 5*k = 0.
0
Let r(h) = 14*h**3 - 228*h**2 - 7684*h - 73728. Let k(n) = 4*n**3 - n**2 - n. Let f(l) = -4*k(l) + r(l). Determine z, given that f(z) = 0.
-48, -16
Let m(y) be the third derivative of -1/60*y**4 + 1/525*y**7 + 0*y**3 - 1/150*y**5 + 1/300*y**6 + 2*y**2 + 0*y + 56. Factor m(g).
2*g*(g - 1)*(g + 1)**2/5
Let k = 775501/74565 - 5/14913. Suppose 68/5*f - 16/5 - k*f**2 = 0. Calculate f.
4/13, 1
Suppose 15*d + 13 + 47 = 0. Let q(s) = 44*s**2 + 96*s + 12. Let z(f) = -132*f**2 - 288*f - 37. Let b