6
Let j = 8 + -5. Let 52*z**5 - j - 3 + 12*z**3 - 9*z + 0*z**3 - 55*z**5 + 6*z**2 = 0. What is z?
-1, 1, 2
Let t be 99/176*-28 - -16. Let o = 1 + 1. Find k, given that t*k**3 + 1/4*k + 0 + 1/2*k**o = 0.
-1, 0
Let i(n) be the second derivative of -n**5/90 - 31*n**4/54 + 23*n**3/9 + 11*n**2 - 105*n - 3. Factor i(q).
-2*(q - 3)*(q + 1)*(q + 33)/9
Determine h, given that -2/11*h**2 + 60/11 + 14/11*h = 0.
-3, 10
Let g(w) be the first derivative of -3*w**5/20 + 3*w**4/4 - w**3/2 - 3*w**2/2 + 9*w/4 - 60. Find c, given that g(c) = 0.
-1, 1, 3
Let g(h) be the third derivative of -h**6/40 + h**5/10 + 11*h**4/8 - 6*h**3 + h**2 - 1. Find j, given that g(j) = 0.
-3, 1, 4
Let n(a) be the second derivative of a**7/105 + 2*a**6/75 + 4*a + 7. Factor n(p).
2*p**4*(p + 2)/5
Let p = -690 + 690. Let a(g) be the second derivative of -5/48*g**4 - 1/8*g**3 + 9/8*g**2 - 4*g + p - 1/80*g**5. Factor a(c).
-(c - 1)*(c + 3)**2/4
Let n(d) be the first derivative of d**4/4 - 4*d**3/3 + d**2 - 5*d + 36. Let y be n(4). Factor -2*a - 2*a**y - 1/2*a**4 - 3*a**2 - 1/2.
-(a + 1)**4/2
Let o(v) be the first derivative of -3*v**3/5 + 57*v**2/10 + 42*v/5 - 69. Find a, given that o(a) = 0.
-2/3, 7
Let t(n) be the first derivative of 1 + 1/2*n**3 + 1/20*n**5 + 0*n + n**2 + 1/4*n**4. Let z(a) be the second derivative of t(a). Factor z(x).
3*(x + 1)**2
Suppose -6*j + 36*j - 60 = 0. Factor 1/5*v**3 - 1/5*v + 0 + 0*v**j.
v*(v - 1)*(v + 1)/5
Let g(r) = r**2 - 13*r + 2. Let v be g(13). Let j(l) be the first derivative of -2 - l**4 - 14*l**v + 4*l**3 - 9*l**2 + 19*l**2 + 11. Solve j(w) = 0.
0, 1, 2
Find g such that -12 + 3/2*g**4 + 18*g - 3*g**2 - 9/2*g**3 = 0.
-2, 1, 2
Let w(n) be the third derivative of -n**6/840 - n**5/210 + n**4/168 + n**3/21 - 4*n**2 - 22*n. Factor w(z).
-(z - 1)*(z + 1)*(z + 2)/7
Let j(k) be the second derivative of -7/5*k**3 - 34*k + 147/10*k**2 + 1/20*k**4 + 0. Factor j(d).
3*(d - 7)**2/5
Let g(m) be the second derivative of m**4/30 - m**3/5 - 4*m**2/5 - 5*m + 1. Factor g(o).
2*(o - 4)*(o + 1)/5
Let d(u) = u**3 + 6*u**2 - 4*u - 9. Let p be d(-6). Let k = p - 13. Let -5*z**3 + 2*z**4 - z**3 - 3*z**2 + 6*z**4 + z**k = 0. What is z?
-1/4, 0, 1
Let t(w) be the first derivative of 4/7*w**5 - 4/7*w**2 - 12 - 9/7*w**4 + 4/3*w**3 + 0*w - 2/21*w**6. Factor t(m).
-4*m*(m - 2)*(m - 1)**3/7
Find h, given that -216/5*h**2 + 4/5*h**3 + 3888/5*h - 23328/5 = 0.
18
Let j(a) be the third derivative of -a**9/60480 + a**8/10080 - a**5/6 + 7*a**2. Let w(i) be the third derivative of j(i). Suppose w(v) = 0. Calculate v.
0, 2
Let p(b) = -b**2 + 20*b - 17. Let r be p(19). Factor -12 + 12*y + 0 - 1 - 2*y**r - 5.
-2*(y - 3)**2
Let m(k) be the third derivative of -k**7/1260 + k**6/40 - 2*k**5/15 + k**4/12 + 27*k**2. Let w(r) be the second derivative of m(r). Factor w(o).
-2*(o - 8)*(o - 1)
Determine i, given that -2/7*i**5 - 30/7*i**4 - 648/7 - 54/7*i**3 + 478/7*i**2 - 144/7*i = 0.
-9, -1, 2
Suppose x - 9 = 40*d - 42*d, -2*d + 18 = 4*x. Determine n, given that 1/2*n + 0 + 5/4*n**d - 7/4*n**2 = 0.
0, 2/5, 1
Let u(d) = -3*d**2 + 46*d + 1961. Let v be u(-19). Factor -4/3 + 16/3*r - 8*r**2 + 16/3*r**3 - 4/3*r**v.
-4*(r - 1)**4/3
Let q(r) be the second derivative of r**5/170 + 16*r**4/51 + 13*r**3/3 - 34*r**2 - 370*r. Factor q(w).
2*(w - 2)*(w + 17)**2/17
Let r(m) be the second derivative of 1/18*m**4 + 7/135*m**6 + 2/27*m**3 + 15*m - 2/15*m**5 + 0*m**2 + 0. Factor r(u).
2*u*(u - 1)**2*(7*u + 2)/9
Determine t, given that 4/3*t**2 + 0 + 14/9*t - 2/9*t**3 = 0.
-1, 0, 7
Let m(o) be the third derivative of -o**7/630 + 3*o**6/20 - 781*o**5/180 + 39*o**4/2 - 338*o**3/9 - 12*o**2. Factor m(z).
-(z - 26)**2*(z - 1)**2/3
Let f(l) be the second derivative of -l**5/5 - l**4 + 8*l**3/3 + 138*l. Factor f(p).
-4*p*(p - 1)*(p + 4)
Let v = -531 - -535. Factor 0*l + 1/6*l**v - 2/3*l**3 + 0 + 2/3*l**2.
l**2*(l - 2)**2/6
Solve 26*l**3 - 80*l**5 + 41*l**5 + 5*l**4 + 16 + 41*l**5 - 2*l**2 - 19*l**4 - 28*l = 0.
-1, 1, 2, 4
Let f(x) = 679*x + x**2 + 2 - 687*x + 0*x**2. Let t be f(8). Determine v, given that 0 + 0*v + 4/5*v**t + 2/5*v**4 - 6/5*v**3 = 0.
0, 1, 2
Let c = -79 - -83. Factor -4*j**3 - j**3 - 3*j**3 - c*j**4 + 5*j + 4 + 3*j.
-4*(j - 1)*(j + 1)**3
Let w(i) be the second derivative of -i**7/63 - i**6/30 + 11*i**5/60 + 7*i**4/18 - 2*i**3/3 - 4*i**2/3 + i - 27. Find b, given that w(b) = 0.
-2, -1/2, 1, 2
Let x = -61 + 81. Let z be x/(-8)*4/(-40). Factor -1/4*m**2 - z*m + 0.
-m*(m + 1)/4
Let g be 10/(-3)*(-1416)/1180. Determine j so that 12/17*j**3 + 0 + 0*j - 18/17*j**2 - 2/17*j**g = 0.
0, 3
Let q(w) = -112*w - 336. Let s be q(-3). Determine g, given that s + 5/4*g**2 + g**3 + 1/2*g + 1/4*g**4 = 0.
-2, -1, 0
Let c be -5 + 1220/231 + (-3)/9. Let s = 45/616 - c. Find r such that s*r**4 + 0*r**2 + 0*r + 0 - 1/8*r**3 = 0.
0, 1
Solve 0 + 4*l**2 - 11/3*l**3 + 4/3*l + 7/3*l**5 - 4*l**4 = 0 for l.
-1, -2/7, 0, 1, 2
Let v(l) = -14*l**4 + l**3 - 71*l**2 + 144*l - 77. Let o(n) = 5*n**4 + 23*n**2 - 48*n + 26. Let t(k) = 17*o(k) + 6*v(k). Determine c, given that t(c) = 0.
-10, 1, 2
Suppose 3*n - 4*w = 491 - 455, 5*w = 5*n - 45. Solve -2/7*p**2 + n + 18/7*p = 0.
0, 9
Let c(p) be the second derivative of p**7/42 + p**6/30 - p**5/10 - 61*p. Find v such that c(v) = 0.
-2, 0, 1
Let w(u) be the third derivative of u**7/840 + u**6/480 - u**5/80 - u**4/96 + u**3/12 + 3*u**2 - 7*u. Factor w(a).
(a - 1)**2*(a + 1)*(a + 2)/4
Let l = -143/60 + 79/30. Factor 0*y**3 + 0 + 0*y + l*y**4 + 0*y**2.
y**4/4
Let d be (-6 - -9) + 1 - 50/15. Find j, given that -2/5*j + d*j**2 - 4/15 = 0.
-2/5, 1
Suppose -10*v = -9*v - 2. Factor -10*r + 12 + 3*r**v + 0*r + 2*r**3 + 0*r - 7*r**2.
2*(r - 3)*(r - 1)*(r + 2)
Let j(q) be the first derivative of -q**7/840 - q**6/240 + q**5/80 + q**4/12 + q**3/6 - 13*q**2/2 - 13. Let y(z) be the second derivative of j(z). Factor y(v).
-(v - 2)*(v + 1)**2*(v + 2)/4
Factor -14/13*g**2 + 0 - 8/13*g.
-2*g*(7*g + 4)/13
Let d(w) be the third derivative of -w**5/60 - 5*w**4/24 - w**3/3 + 4*w**2. Let g be d(-4). Factor -2*f**4 + 2*f**2 + 2*f**3 - 2*f + 2*f - g*f.
-2*f*(f - 1)**2*(f + 1)
Let x(a) = -23*a**2 - 165*a + 170. Let n(g) = 43*g**2 + 330*g - 340. Let o(l) = -6*n(l) - 11*x(l). Factor o(y).
-5*(y - 1)*(y + 34)
Factor -24/5*z + 32/5 + 4/5*z**2.
4*(z - 4)*(z - 2)/5
Factor -24*v - 4*v**3 + 80*v**2 - 59*v**2 + 7*v**3.
3*v*(v - 1)*(v + 8)
Let s(x) be the first derivative of 7*x**4/16 - 83*x**3 + 35571*x**2/8 - 5041*x/2 + 505. Solve s(c) = 0.
2/7, 71
Let f(l) be the second derivative of l**5/20 + l**4/12 - l**3/6 - l**2/2 + 11*l. Let f(i) = 0. What is i?
-1, 1
Let a(b) = -994*b + 2984. Let n be a(3). Factor -3/2*s + 1/2*s**5 + s**3 - 2*s**4 + 0 + n*s**2.
s*(s - 3)*(s - 1)**2*(s + 1)/2
Let m = 29209/11 - 2655. Factor -6/11*t + m*t**2 + 2/11*t**3 + 0.
2*t*(t - 1)*(t + 3)/11
Let x be 3*(140/30 - 4). Factor 2/3*w**x - 5/3*w**3 + 0*w + 0 + 4/3*w**4 - 1/3*w**5.
-w**2*(w - 2)*(w - 1)**2/3
Let z = 449/15 - 3113/105. Determine v, given that -1/7*v**3 + 0 - z*v + 3/7*v**2 = 0.
0, 1, 2
Let a be -16*(2/(-4))/1. Suppose -a = -5*g + g. Suppose 2*m**2 - m**3 - m**3 + 3*m**2 - 3*m**g = 0. Calculate m.
0, 1
Let u = -11/4 + 17/6. Let m(c) be the second derivative of -1/8*c**2 - u*c**3 - c + 0 - 1/48*c**4. Factor m(f).
-(f + 1)**2/4
Let d(o) = -7*o**2 + 7*o - 4. Let u(z) = 65*z**2 - 65*z + 35. Let m(f) = 55*d(f) + 6*u(f). Find i, given that m(i) = 0.
-1, 2
Suppose 0 = 108*c + 59*c. Solve -2/7*y**2 + 2/7*y**4 + c - 2/7*y + 2/7*y**3 = 0.
-1, 0, 1
Let f(q) = 7*q**3 + 5*q**2 + 5*q + 3. Suppose 9*p - 32 = p. Let n(a) = -13*a**3 - 11*a**2 - 11*a - 6. Let l(y) = p*n(y) + 7*f(y). Factor l(b).
-3*(b + 1)**3
Factor -9/4*p**2 + 1/4*p**3 - 5/2*p + 0.
p*(p - 10)*(p + 1)/4
Suppose 0 = 5*o - 9 - 6. Factor 1/3*x**2 + 0 + 0*x - 1/3*x**o.
-x**2*(x - 1)/3
Let s = 128 - 92. Solve s*x - 8 + 11*x**2 - 31*x**2 + 59*x**2 + 5*x**2 = 0.
-1, 2/11
Factor 3/2*m**4 - 64/3 + 68*m**2 - 80*m - 53/3*m**3.
(m - 4)**3*(9*m + 2)/6
Let d(f) be the second derivative of -f**4 + 0 - 3*f**2 - 6*f + 5/2*f**3 + 3/20*f**5. Factor d(t).
3*(t - 2)*(t - 1)**2
Suppose -3 = -v + 1. Suppose v*d - 15 = -d. Suppose 3*c**5 + 6*c - 5*c**d - c**3 - 3*c = 0. Calculate c.
-1, 0, 1
Suppose -2*r - 26 = -5*q - 7, 2*q - 16 = 5*r. Factor 3*h**2 - 6*h**2 + 6*h + 0*h**q - 3*h**3.
-3*h*(h - 1)*(h + 2)
Let d(y) b