+ 1)*(a + 2)*(a + 16)/13
Suppose 0 = 3*d - 2*l + 24, 2*d + l - 5*l + 24 = 0. Let g be (-2)/d + (-224)/(-48). Solve 3*y**2 - 2*y**2 - 8 + 2*y**3 - g*y**2 - 9*y - 5*y = 0.
-1, 4
Let w(k) be the third derivative of -1/945*k**7 + 28/27*k**4 - 7/270*k**6 - 64/27*k**3 - 2*k**2 + 0*k - 11/90*k**5 + 2. Factor w(y).
-2*(y - 1)**2*(y + 8)**2/9
Let q be -5*(1 - (2 - (-3 + 5))). Let i be ((-4)/q)/((-1904)/(-4480)). Factor 16/17*p + i + 2/17*p**2.
2*(p + 4)**2/17
Let q(c) be the first derivative of -3*c**5/20 + 7*c**3/2 - 9*c**2 + 126*c - 32. Let k(x) be the first derivative of q(x). Factor k(g).
-3*(g - 2)*(g - 1)*(g + 3)
Let u(w) be the third derivative of -11/12*w**4 + 0*w + 0 + 1/30*w**5 + 10/3*w**3 - 131*w**2. Factor u(r).
2*(r - 10)*(r - 1)
Let p(j) be the second derivative of 5/18*j**3 + 0 + 1/36*j**4 + 2/3*j**2 - 136*j. Factor p(h).
(h + 1)*(h + 4)/3
Suppose 0 = 29*q + 174 - 3190. Let t be -1 - ((-1)/(-3) + q/(-39)). Find z, given that 1 - 1/3*z**4 + t*z**3 - 2/3*z**2 - 4/3*z = 0.
-1, 1, 3
Suppose 3*t - 16 = x, 24*x - 23*x - 2*t = -10. Let f(p) be the first derivative of 17 - 1/24*p**3 - 1/8*p**x - 1/8*p. Solve f(q) = 0.
-1
Let s(i) be the first derivative of 4*i**3/3 - 72*i**2 + 972*i - 1131. Factor s(u).
4*(u - 27)*(u - 9)
Let q be -4*(-228)/120 + -6. Let g(f) be the first derivative of -3 + 0*f**4 + 0*f + 2/3*f**6 - 2*f**2 + 8/3*f**3 - q*f**5. Factor g(v).
4*v*(v - 1)**3*(v + 1)
Let g = -220620 + 220622. Let -86/3*j - 19/3*j**3 + 97/3*j**g + 8/3 = 0. What is j?
2/19, 1, 4
Suppose 5*q + 1638 = -9*q. Let h = q - -120. Factor 3/5*k + 2/5 - 1/5*k**4 - 1/5*k**2 - 3/5*k**h.
-(k - 1)*(k + 1)**2*(k + 2)/5
Let z(c) = -13*c**2 + 105*c + 11. Let q(o) = -1 + 7*o - 26*o**2 - 12*o + 27*o**2. Let j(f) = 22*q(f) + 2*z(f). Solve j(d) = 0 for d.
0, 25
Let u = -159 - -327. Factor -250*b**2 - 446*b**3 - 82 - u*b**3 - 11*b**3 - 38 + 500*b.
-5*(5*b - 2)**2*(5*b + 6)
Let f = 5 - 3. Let k be (8/3)/((0 - -1) + 118/354). Factor -1/3*v**f + k*v - 5/3.
-(v - 5)*(v - 1)/3
Suppose 10*f - 17*f + 21 = 0. Find n, given that 15*n**2 - 45*n + 90*n - 33*n + f*n**3 = 0.
-4, -1, 0
Let y(u) = 332*u + 542. Let n be y(-4). Let z = n - -788. Suppose 3/4*g**z + 3/4*g - 3/2 = 0. Calculate g.
-2, 1
Let j = -682075 - -8866977/13. Let j*k + 2/13*k**3 - 4/13*k**2 + 0 = 0. What is k?
0, 1
Let y(w) be the third derivative of 0 + 1/36*w**5 - 1/2*w**3 - 1/18*w**4 + 0*w + 10*w**2 + 1/180*w**6. Let i(h) be the first derivative of y(h). Factor i(f).
2*(f + 2)*(3*f - 1)/3
Let j(s) be the third derivative of 1/60*s**5 + 0*s**3 - 78*s + 0 - 19/48*s**4 + s**2. Factor j(w).
w*(2*w - 19)/2
Factor 182/5*g**2 + 2/5*g**4 + 0 + 132/5*g + 52/5*g**3.
2*g*(g + 1)*(g + 3)*(g + 22)/5
Let l = 389159/15 - 25943. Determine q, given that -2/15*q**2 - 16/15*q - l = 0.
-7, -1
Suppose 11675 = 39*y + 11597. Suppose -5/2*j - 2*j**y - 1/2*j**3 - 1 = 0. What is j?
-2, -1
Let 1/7*f**2 + 0 + 358/7*f = 0. What is f?
-358, 0
Let q(m) be the first derivative of 7/4*m**2 + 108 + 1/12*m**3 + 49/4*m. Find b such that q(b) = 0.
-7
Let a(m) be the third derivative of -m**5/105 - 1003*m**4/168 + 251*m**3/42 + 1383*m**2. What is n in a(n) = 0?
-251, 1/4
Let b = -8683294/7 + 1240471. Find z such that -b*z + 3/7*z**3 + 78/7*z**2 - 78/7 = 0.
-26, -1, 1
Let u be 5 + (6 - (-27)/(-3)). Find c, given that -210*c - 4384 + 2*c**2 - 7*c**u + 2179 = 0.
-21
Let q(v) be the third derivative of -v**7/70 + 5*v**6/8 - 11*v**5/10 - 6*v**4 + 76*v**2 - 2. Factor q(z).
-3*z*(z - 24)*(z - 2)*(z + 1)
Let i(p) be the second derivative of p**4/6 - p**2/2 + 34*p. Let u(w) = 15*w**2 - 5*w - 14. Let f(j) = 24*i(j) - 3*u(j). Factor f(x).
3*(x + 2)*(x + 3)
Let b = 685/66 + -677/132. Find c such that -69/4*c**3 - 3*c - b*c**4 + 0 - 15*c**2 = 0.
-2, -1, -2/7, 0
What is j in 68 + 13*j**3 + 90*j - 7*j**3 - 51*j**2 + 8*j**3 + j**4 - 86*j = 0?
-17, -1, 2
Suppose -102*h - 86*h + 36*h = -456. Find n such that -3/8*n + 3/8*n**h - 1/4 + 1/4*n**2 = 0.
-1, -2/3, 1
Suppose -3*n - 22 = -5*z, -3*z - 3*n - 10 = n. Determine s so that 9*s**2 + 30 - s - 14*s**z - 4*s = 0.
-3, 2
Let p = 106185 - 106181. Determine l, given that -5/4*l + 1/4*l**2 + 0 + 5/4*l**3 - 1/4*l**p = 0.
-1, 0, 1, 5
Suppose 53 - 30 = h + 5*y - 9, -24 = -4*y. What is u in -184/5*u + 4/5*u**h - 188/5 = 0?
-1, 47
Let l(a) be the second derivative of -28*a - 7/100*a**5 + 0 - 4/15*a**4 - 2/5*a**3 - 1/150*a**6 + 0*a**2. What is z in l(z) = 0?
-3, -2, 0
Find p such that 5622/5*p - 2633907/5 - 3/5*p**2 = 0.
937
Let -69/7*c + 15 - 33/7*c**2 - 3/7*c**3 = 0. What is c?
-7, -5, 1
Suppose -g + 2*m = -40, -9*m - 270 = -6*g - 84. Factor 24/5*z**g + 51/5*z + 84/5*z**2 + 12/5 + 66/5*z**3 + 3/5*z**5.
3*(z + 1)**4*(z + 4)/5
Let o(m) be the second derivative of -17 - 24/7*m**2 - m - 1/3*m**4 + 2/35*m**5 - 8/3*m**3. Factor o(j).
4*(j - 6)*(j + 2)*(2*j + 1)/7
Suppose 4*u = -5*o + 4*o + 7540, 2*u - 3784 = 3*o. Let r be u/60 + 6/20*-2. Determine v so that -r*v**3 - 35/6*v**4 - 55*v**2 - 20/3 - 110/3*v = 0.
-2, -1, -2/7
Let p(u) be the first derivative of 7*u**6/33 - 62*u**5/55 - 69*u**4/22 + 14*u**3/33 + 62*u**2/11 + 48*u/11 - 3927. What is o in p(o) = 0?
-1, -4/7, 1, 6
Let b = 2150 - 2150. Let y(s) be the third derivative of 0 + 24*s**2 - 5/84*s**4 + b*s - 1/210*s**5 - 2/7*s**3. Factor y(d).
-2*(d + 2)*(d + 3)/7
Let q = 43127 - 43118. Suppose 33/4*c**2 - 21/8*c + 15/4*c**4 - q*c**3 - 3/8*c**5 + 0 = 0. What is c?
0, 1, 7
Let o be 1199/3706*864/44. Factor -216/17*r - 24/17*r**3 + 162/17 + 2/17*r**4 + o*r**2.
2*(r - 3)**4/17
Let m(x) be the first derivative of x**6/8 - 27*x**5/10 + 18*x**4 - 32*x**3 + 1514. Factor m(w).
3*w**2*(w - 8)**2*(w - 2)/4
Let z(t) be the third derivative of -t**7/105 - 23*t**6/300 - 13*t**5/75 + 127*t**2. Factor z(y).
-2*y**2*(y + 2)*(5*y + 13)/5
Let l = 145782 - 145778. Factor 4/3*f**2 + 13/6*f**3 - 7/6*f - 1 + 2/3*f**l.
(f + 1)**2*(f + 2)*(4*f - 3)/6
Let v(h) be the third derivative of -h**6/240 + 11*h**5/40 - 5*h**4/2 + 29*h**3/6 - 3*h**2 + 26. Let p(t) be the first derivative of v(t). Factor p(b).
-3*(b - 20)*(b - 2)/2
Let l(c) be the second derivative of -1/100*c**5 + 1/20*c**4 - 4/5*c**2 - 43*c + 1/5*c**3 + 0. Determine z, given that l(z) = 0.
-2, 1, 4
Let n = 335/41418 - -8/767. Let v(g) be the second derivative of 2/27*g**3 + n*g**4 + 1/9*g**2 + 0 + 17*g. Factor v(r).
2*(r + 1)**2/9
Let w = 48 + -9. Factor -16 - 46*d**3 - w*d**2 - 17*d**2 + 38*d**3 + 0*d**2 + 62*d.
-2*(d + 8)*(2*d - 1)**2
Let l(v) be the second derivative of -2*v**6/45 - 23*v**5/60 + 35*v**4/18 - 8*v**3/9 - 503*v. Let l(d) = 0. What is d?
-8, 0, 1/4, 2
Suppose 14*i = 19*i - 20. What is v in 12*v - 9 + 42*v**3 - 4*v**4 + 87*v**2 + 8*v**i - 28*v**4 = 0?
-1, -1/2, 1/4, 3
Let p(h) = -h**2 + 6*h. Let s(f) = 6*f**2 - 32*f. Let v(q) = 11*p(q) + 2*s(q). Let x(d) = 4*d**3 - 20*d**2 - 44*d. Let g(j) = -20*v(j) - x(j). Factor g(w).
-4*w*(w - 1)*(w + 1)
Find k such that -4/7*k + 0 - 32*k**2 + 113/7*k**3 = 0.
-2/113, 0, 2
Suppose -17 + 1 + 12 = -114*q - 4. Factor -3/4*m**4 + 0*m + 3/4*m**2 - 1/4*m**3 + q + 1/4*m**5.
m**2*(m - 3)*(m - 1)*(m + 1)/4
Let v(u) = 8*u**2 - 14*u + 23*u - 26*u + 9. Let c(w) = w**2 - 2*w + 1. Let x(z) = -36*c(z) + 4*v(z). Factor x(b).
-4*b*(b - 1)
Find w such that -45/4*w**2 - 121 + 132*w + 1/4*w**3 = 0.
1, 22
Factor 0 - 4/3*m**3 + 176/3*m + 172/3*m**2.
-4*m*(m - 44)*(m + 1)/3
Let v be ((9 - 6) + (-5)/(-80)*-110)/((-28)/168). Factor -189/4*l - 3/2 - v*l**2.
-3*(l + 2)*(31*l + 1)/4
Suppose f + 22 = 6*c - 2*c, 0 = -4*f + 5*c - 33. Let h(z) = 2*z**2 - z - 7. Let d be h(f). Factor 5/2*y**d + 0*y**2 + 0 + 0*y.
5*y**3/2
Find k, given that -27146/5*k**2 - 23024898/5 + 46063368/5*k + 4/5*k**3 = 0.
1/2, 3393
Let n(h) = h**3 + 14*h**2 + 35*h - 96. Let z be n(-7). Let b(a) be the first derivative of 6*a + 5/2*a**3 - 6*a**z - 16 - 3/8*a**4. Factor b(s).
-3*(s - 2)**2*(s - 1)/2
Let j be ((-67)/(-603))/((-2)/(-186)) + 1. Solve j*d + 16/3*d**3 + 32/3*d**4 - 4/3 - 26*d**2 = 0 for d.
-2, 1/4, 1
Factor 0 + 434/3*c**3 + 49/3*c**4 + 0*c + 961/3*c**2.
c**2*(7*c + 31)**2/3
Let w(q) be the third derivative of q**8/1848 - 2*q**7/1155 - 3*q**6/220 + q**5/165 + 2*q**4/33 - q**2 + 5*q - 9. What is u in w(u) = 0?
-2, -1, 0, 1, 4
Suppose -817 = 3*z - 5*x - 729, 2*x = 40. Let 16/3 + 2/3*l**5 + 76/3*l**3 + 22*l + 104/3*l**2 + 8*l**z = 0. Calculate l.
-8