be ((-6)/9)/((-3)/18). Find y such that -16*y**4 + 10*y**f + 9*y**4 - g*y**3 + 6*y**2 = 0.
0, 1, 2
Let p = -1 - -4. Suppose 9 = p*w - 0. Factor -w*l**3 - 64*l + 17*l**3 - 4*l**5 + 18*l**3.
-4*l*(l - 2)**2*(l + 2)**2
Let v = -27438 - -27441. Factor -10/3*i**2 - 26/9*i**v - 4/9*i + 0.
-2*i*(i + 1)*(13*i + 2)/9
Let g(j) be the second derivative of j**7/630 - j**6/72 + j**5/30 - 5*j**4/6 + 9*j. Let p(c) be the third derivative of g(c). Determine n, given that p(n) = 0.
1/2, 2
Let g(k) be the third derivative of k**7/210 - k**6/30 + k**5/20 + k**4/6 - 2*k**3/3 + 2*k**2 + 38. Factor g(q).
(q - 2)**2*(q - 1)*(q + 1)
Determine u so that 149*u**2 - 154*u**2 - 42 + 5*u**3 - 80*u + 122 = 0.
-4, 1, 4
Suppose 2*p + 5 = 3*v, 159*v - 158*v = 3*p - 3. Factor 9/2*t**3 + 0 - 10*t**p + 2*t.
t*(t - 2)*(9*t - 2)/2
Let q = -1589 + 1589. Factor 0*y**2 + 1/4*y**4 + 0 + q*y + 1/4*y**3.
y**3*(y + 1)/4
Let d(w) be the second derivative of 29*w + 5/14*w**3 + 3/7*w**2 + 3/140*w**5 + 0 + 1/7*w**4. Find j such that d(j) = 0.
-2, -1
Let g(f) be the first derivative of 2*f**3/33 - 252*f**2/11 + 31752*f/11 + 448. Solve g(p) = 0.
126
Let k(g) = -3*g**2 - 208*g - 3466. Let p(b) = -30*b**2 - 2082*b - 34659. Let a(z) = -21*k(z) + 2*p(z). Factor a(f).
3*(f + 34)**2
Suppose -5*u - 28 = c, -5*c + 13*u = 17*u - 28. Factor 0 + 18*j**2 - c*j - 9*j**3 + 3/2*j**4.
3*j*(j - 2)**3/2
Let m = 12 - 9. Suppose 2*d - 30 = -d - m*j, 4 = j. Factor d*h**3 + 4*h**2 - 40/3*h + 16/3.
2*(h + 2)*(3*h - 2)**2/3
Let o = 16 - 24. Let r be (-2)/o - (-94)/8. Determine l so that 2*l**4 - 35*l**3 + 19*l**4 + 20*l**3 - r*l**5 + 3*l**5 + 3*l**2 = 0.
0, 1/3, 1
Let w(a) = -54*a + 9. Let p be w(3). Let m = 153 + p. Determine h, given that 3/4*h - h**2 + 1/4*h**3 + m = 0.
0, 1, 3
Let r(c) = -13*c**2 + 8*c - 10. Let b(a) = a**3. Let v(h) = 2*b(h) + r(h). Let y be v(6). Let -4/5*z + 2/5*z**y + 2/5 = 0. Calculate z.
1
Let f(d) be the second derivative of 0 + 1/210*d**7 - 1/100*d**5 + 0*d**2 + 0*d**3 - 1/25*d**6 - 19*d + 1/10*d**4. Factor f(s).
s**2*(s - 6)*(s - 1)*(s + 1)/5
Let t(u) be the second derivative of -u**7/63 - 7*u**6/45 - u**5/2 - u**4/2 - u - 6. Let t(a) = 0. Calculate a.
-3, -1, 0
What is v in -16 + 11*v - 3*v + v**3 + 6*v**2 - 2*v**2 - 3*v**3 = 0?
-2, 2
Factor 33/2*y - 1/4*y**2 - 1089/4.
-(y - 33)**2/4
Let g(s) = -6*s**3 - 14*s**2 + 8*s + 14. Let t(q) = -13*q**3 - 29*q**2 + 18*q + 29. Let f(y) = -5*g(y) + 2*t(y). Suppose f(u) = 0. Calculate u.
-3, -1, 1
Let x(p) be the first derivative of -42 - 42*p**2 + 18*p + 32/5*p**5 - 28*p**4 + 146/3*p**3. Solve x(s) = 0 for s.
3/4, 1
Suppose -11*n + 5*n - 9 = -15*n. Factor c + 1/4*c**2 + n.
(c + 2)**2/4
Let a(z) = -z**3 + 3*z**2 + z - 4. Let x be a(-3). Suppose 63*k**2 + 1 + 65*k + x*k**2 + k**3 + 89*k**3 + 5*k**5 + 35*k**4 + 14 = 0. What is k?
-3, -1
Factor 48*p - 432 - 4/3*p**2.
-4*(p - 18)**2/3
Let u = -2821/37 + -19/74. Let o = u - -77. Factor 1/6*x**3 + 1/6 + o*x + 1/2*x**2.
(x + 1)**3/6
Let j(y) be the second derivative of -y**8/3840 - y**7/1120 + y**6/240 + y**5/120 + 13*y**4/12 + 13*y. Let i(z) be the third derivative of j(z). Solve i(u) = 0.
-2, -2/7, 1
Let i = -4535 - -4540. Solve 0 - 2/13*j**4 + 0*j - 2/13*j**3 + 2/13*j**2 + 2/13*j**i = 0.
-1, 0, 1
Let a be 6/(-22)*(82 + -84). Suppose a*x**3 - 6/11 + 2*x**2 + 10/11*x = 0. What is x?
-3, -1, 1/3
Factor -15*i**2 + 15971*i**3 - 3 - 42*i + 3 - 15968*i**3.
3*i*(i - 7)*(i + 2)
Let h(k) be the second derivative of 12*k + 0 + 4*k**4 - 63/20*k**5 + 0*k**2 - 2*k**3 + 9/10*k**6. Let h(q) = 0. What is q?
0, 2/3, 1
Let -38/3*v - 12 - 2/3*v**2 = 0. What is v?
-18, -1
Let b(j) be the second derivative of j**5/4 - 25*j**4/6 - 65*j**3/6 + 55*j**2 - 25*j. Factor b(t).
5*(t - 11)*(t - 1)*(t + 2)
Let p = 128 - 123. Let 5*v + 8*v**2 - 2 - 8*v**2 + 12 - p*v**2 = 0. Calculate v.
-1, 2
Let z(q) = 3*q**4 + 41*q**3 - 180*q**2 + 225*q - 96. Let w(c) = -c**4 - 21*c**3 + 90*c**2 - 113*c + 48. Let r(g) = 7*w(g) + 3*z(g). Let r(m) = 0. Calculate m.
1, 4, 6
Let i(r) = -9*r**5 - 8*r**4 + 8*r**2 + 4*r. Let c(w) = 5*w - 8*w**5 + 6*w**2 - 2*w**5 - w + 2*w**2 - 8*w**4. Let t(g) = -5*c(g) + 6*i(g). Factor t(s).
-4*s*(s - 1)*(s + 1)**3
Let r be 130/(-26) - (63/(-15) + -3). Let y(t) be the second derivative of r*t**5 - 7*t + 0 + 2/3*t**4 + 0*t**3 + 2/3*t**7 + 0*t**2 + 32/15*t**6. Factor y(z).
4*z**2*(z + 1)**2*(7*z + 2)
Let i = -12435 - -136797/11. What is j in -2/11*j**4 + 62/11*j**2 + 0 - 56/11*j**3 - i*j + 8/11*j**5 = 0?
-3, 0, 1/4, 1, 2
Suppose -6840*f**2 + 309 + 4400*f**3 - 617*f - 500*f**4 + 4505*f - 1065 = 0. What is f?
3/5, 7
Solve 58*u**2 - 161*u**5 + 133*u**5 - 104*u**4 - 48*u - 2*u**3 + 6*u**3 + 118*u**2 = 0 for u.
-3, -2, 0, 2/7, 1
Let b(i) = -i + 8. Let f be b(6). Determine y, given that 8 - 19*y + 2*y**3 - 8*y**f + 2*y**3 + 15*y = 0.
-1, 1, 2
Let k(g) be the second derivative of g**6/3 + 22*g**5/5 + 94*g**4/5 + 352*g**3/15 + 64*g**2/5 - 2*g + 118. Factor k(m).
2*(m + 4)**2*(5*m + 2)**2/5
Let i(u) be the first derivative of 3*u**3 - 15*u**2 + 21*u - 154. Find y, given that i(y) = 0.
1, 7/3
Let x be (-312)/(-195) + (-2)/(-5). Let v(s) be the second derivative of 1/6*s**4 + 0*s**x - 1/12*s**3 + 0 - 3*s. Factor v(k).
k*(4*k - 1)/2
Let r(u) be the first derivative of u**5/5 + 23*u**4/4 + 98*u**3/3 + 74*u**2 + 72*u - 99. Find w such that r(w) = 0.
-18, -2, -1
Let r(c) = -5*c**3 + 6*c + 37. Let j(n) = -n**3 - n**2 - n - 1. Let s(a) = -6*j(a) + r(a). Let v(y) be the first derivative of s(y). What is x in v(x) = 0?
-2
Let f(x) be the second derivative of 11*x**4/24 - 5*x**3/36 + x + 306. Factor f(g).
g*(33*g - 5)/6
Let j(b) be the second derivative of -b**5/100 + b**4/20 + 3*b**3/10 + 7*b**2/2 + 6*b. Let i(h) be the first derivative of j(h). Solve i(c) = 0 for c.
-1, 3
Let r be 6/(-10) - 581/(-35). Let 4*s**3 - r - 6*s**3 + 8*s - 55*s**4 + 53*s**4 + 12*s**2 = 0. What is s?
-2, 1, 2
Let u be 4 - -1 - 4/((-16)/(-12)). Let o(h) be the third derivative of -5/8*h**6 + 0*h**3 - 1/4*h**5 + u*h**2 + 0*h + 0 + 1/4*h**4. Factor o(g).
-3*g*(5*g - 1)*(5*g + 2)
Let y(k) be the second derivative of -k**7/42 - 2*k**6/15 - 3*k**5/20 - 5*k - 26. Factor y(j).
-j**3*(j + 1)*(j + 3)
Let m be 2/1 + (1/(-1) - -9). Let c be (-62)/(-21) + m/(-35). Find j, given that 5/3*j**4 + 0 + 0*j + 4/3*j**2 - 1/3*j**5 - c*j**3 = 0.
0, 1, 2
Suppose 4*g - 10 + 2 = 0. Factor 5*j**g - 8 + 3*j - 6*j**2 + 3*j - 1.
-(j - 3)**2
Let r = -39 + 43. Suppose 10 = -5*a - 7*v + 9*v, -3*v + 15 = -3*a. Suppose 0 + a*p**2 + 0*p - 2/5*p**r + 2/5*p**3 = 0. Calculate p.
0, 1
Let z = 133325/3 + -44441. Factor z*l - 2/21*l**3 + 4/7 + 0*l**2.
-2*(l - 3)*(l + 1)*(l + 2)/21
Let q(x) = 2*x + 17. Let u be q(6). Factor u*g - 4*g**3 + 36*g + 20*g**2 - 81*g - 4*g**2.
-4*g*(g - 2)**2
Let p(d) be the second derivative of d**7/42 + d**6/30 - 3*d**5/20 - d**4/12 + d**3/3 - 30*d + 2. Factor p(y).
y*(y - 1)**2*(y + 1)*(y + 2)
Let a(l) be the third derivative of -l**7/1365 - 43*l**6/780 + l**5/390 + 43*l**4/156 + 66*l**2. Find q, given that a(q) = 0.
-43, -1, 0, 1
Let d = -3 + 3. Let a be 19/57 + d + (-1)/12. Factor 1/4*n - a*n**2 + 0.
-n*(n - 1)/4
Let j(s) be the second derivative of 0 - 2/13*s**2 + 3/26*s**4 + 7/39*s**3 + 40*s. Let j(f) = 0. Calculate f.
-1, 2/9
Suppose 73*x - 76*x = -6. Let a(k) be the second derivative of 6*k - 2*k**x + k**3 - 1/6*k**4 + 0. Suppose a(w) = 0. Calculate w.
1, 2
Let x(o) be the third derivative of o**7/840 - o**6/120 + o**5/60 - 5*o**3/2 + 5*o**2. Let c(a) be the first derivative of x(a). What is r in c(r) = 0?
0, 1, 2
Suppose -2*j + i = -23, -3*j + 2*j + 9 = -i. Suppose -j*y + 25 = -3. Find w, given that 2/5*w**3 + 0 + 0*w - 2/5*w**4 + 0*w**y = 0.
0, 1
Let d be 1/((0 + -2)/4). Let i(a) = -3 + 6*a**2 + 1 - 3*a + 7 - 2. Let n(z) = -5*z**2 + 3*z - 2. Let j(y) = d*i(y) - 3*n(y). Factor j(v).
3*v*(v - 1)
Factor 239*i - 4*i**2 + i**4 - 239*i - 3*i**3.
i**2*(i - 4)*(i + 1)
Let z(f) be the third derivative of 1/52*f**4 + 2*f**2 + 0*f - 2/39*f**3 - 1/390*f**5 + 0. Determine p so that z(p) = 0.
1, 2
Solve 4 + 4*d**2 - 5/4*d**4 - 11*d**3 + 16*d + 7/4*d**5 = 0 for d.
-2, -1, -2/7, 2
Let r(t) = -3*t**4 + 107*t**3 - 131*t**2 + 37*t + 25. Let a(p) = 3*p**4 - 54*p**3 + 66*p**2 - 18*p - 12. Let m(w) = -7*a(w) - 3*r(w). Solve m(i) = 0 for i.
-1/4, 1, 3
Suppose 0 = 2*j + 5 + 3, 5*k = 2*j + 