ate a.
-4, -1, 2
Let z = 992/1015 + 24/145. Determine w so that -1/7*w**5 - 38/7*w**2 - 8/7*w**4 - z - 25/7*w**3 - 4*w = 0.
-2, -1
Let c(g) = -g**2 + 11*g - 13. Let l be c(9). Suppose 4*q + z - 17 = 0, -12 = -2*q + z - l. Factor 4/9*m**2 + 0 + 0*m + 2/9*m**q - 2/3*m**3.
2*m**2*(m - 2)*(m - 1)/9
Let i(n) be the first derivative of n**4/10 + 32*n**3/15 + 3*n**2 + 65. Determine y so that i(y) = 0.
-15, -1, 0
Let i(l) = -21*l**3 + 112*l**2 + 44*l - 24. Let v(j) = -7*j**3 + 37*j**2 + 15*j - 9. Let n(u) = -3*i(u) + 8*v(u). Factor n(g).
g*(g - 6)*(7*g + 2)
Determine g, given that -18*g**2 - 67*g**4 - 68*g**4 + 138*g**4 - 15*g**3 = 0.
-1, 0, 6
Let h(d) = 14*d**2 - 18*d - 26. Let s(y) = -2*y**2 + 2*y + 1. Let m(o) = -2*h(o) - 12*s(o). Find q, given that m(q) = 0.
-2, 5
Let n(v) be the first derivative of -4*v**5/5 + v**4 + 148*v**3/3 + 70*v**2 - 455. Let n(o) = 0. Calculate o.
-5, -1, 0, 7
Factor 22/3*b - 5 + 0*b**2 - 2*b**3 - 1/3*b**4.
-(b - 1)**2*(b + 3)*(b + 5)/3
Let o be (-5 - (-4 + 2)) + 5. Let s(g) = -g**5 - 3*g**4 - 2*g**2. Let n(m) = -12*m**5 - 39*m**4 - 27*m**2. Let x(z) = o*n(z) - 27*s(z). Solve x(p) = 0 for p.
-1, 0
Let z(l) = -2*l**3 + 43*l**2 + 6*l. Let j(o) = -o**3 - o**2 - o. Let v(d) = -30*j(d) + 5*z(d). Factor v(y).
5*y*(y + 12)*(4*y + 1)
Let g(n) be the second derivative of 2*n**6/75 + 2*n**5/25 - 4*n**4/15 - 16*n**3/15 - 41*n. Solve g(j) = 0.
-2, 0, 2
Let x(t) be the second derivative of -t**8/252 - 4*t**7/315 + 2*t**5/45 + t**4/18 + 15*t**2/2 + 12*t. Let m(b) be the first derivative of x(b). Factor m(o).
-4*o*(o - 1)*(o + 1)**3/3
Let s = -112 - -139. Factor 9*a + 3 + 24*a**2 + 11 + s*a + 4*a**3 + 2.
4*(a + 1)**2*(a + 4)
Let m(q) be the first derivative of q**7/1470 - q**6/840 + 15*q**2/2 + 2. Let a(v) be the second derivative of m(v). Factor a(g).
g**3*(g - 1)/7
Let p(u) be the first derivative of u**4/2 + 158*u**3/27 - 2*u**2 - 34. Factor p(o).
2*o*(o + 9)*(9*o - 2)/9
Let r(m) be the second derivative of 1/9*m**3 + 0*m**2 + 30*m + 0 + 1/6*m**4 - 7/120*m**5. Determine z so that r(z) = 0.
-2/7, 0, 2
Let s = 214/16205 - -1/926. Let k(r) be the third derivative of -3/20*r**5 + s*r**7 + 0*r + 1/2*r**4 + 0 - 1/20*r**6 + 2*r**3 + 2*r**2. Let k(i) = 0. What is i?
-1, 2
Factor -162*w - 13122 - 1/2*w**2.
-(w + 162)**2/2
Let b = 20 - 18. Let v(u) = 7*u**2 - 20. Let j(d) = d**2. Let f(w) = b*j(w) - v(w). Suppose f(i) = 0. Calculate i.
-2, 2
Let c(d) be the second derivative of -1/24*d**4 - d**2 + 0 - 24*d - 1/3*d**3. Factor c(g).
-(g + 2)**2/2
Let a(i) be the first derivative of -2/27*i**3 + 0*i**2 + 0*i - 1/18*i**4 + 1. Let a(o) = 0. Calculate o.
-1, 0
Let s(c) be the third derivative of c**6/600 + 9*c**5/100 + 17*c**4/40 + 5*c**3/6 - 338*c**2. Find q such that s(q) = 0.
-25, -1
Let f(w) be the second derivative of w**7/1575 + w**6/180 + 7*w**5/450 + w**4/60 - 21*w**2/2 - 11*w. Let x(o) be the first derivative of f(o). Factor x(j).
2*j*(j + 1)**2*(j + 3)/15
Let a(t) = 2*t**3 + 3*t**2 + t + 1. Let p(i) = -7*i**3 - 35*i**2 + 76*i - 80. Let l(n) = -4*a(n) - p(n). Factor l(q).
-(q - 19)*(q - 2)**2
Let m(l) be the third derivative of l**7/840 - l**5/120 + l**3/24 - 15*l**2 - 3*l. Factor m(w).
(w - 1)**2*(w + 1)**2/4
Let l(o) be the second derivative of -o**5/20 - o**4/6 + o**3/6 + o**2 - 254*o. Suppose l(s) = 0. Calculate s.
-2, -1, 1
Let n be ((-6)/4)/(-3) + 17/2. Suppose -4*w = 2*c - 18, w - n = -2*c + 3. Factor 2/3*d - 2/15*d**w - 2/15*d**3 - 2/5.
-2*(d - 1)**2*(d + 3)/15
Suppose -4*a + 2*a - 6*k = -k, -5*a + 3*k = 0. Suppose 6/5*m**3 - 36/5*m**2 - 27/5*m + a - 3/5*m**5 + 12/5*m**4 = 0. What is m?
-1, 0, 3
Let v(f) be the third derivative of 0*f + 0 + 38*f**2 - 1/24*f**4 + 1/240*f**5 + 0*f**3. Factor v(n).
n*(n - 4)/4
Let n(f) be the first derivative of 2*f**3/27 - 34*f**2/9 - 70*f/9 - 51. Factor n(y).
2*(y - 35)*(y + 1)/9
Factor -h**2 + 1/2*h**5 + 5/2*h - 3*h**3 - 1/2*h**4 + 3/2.
(h - 3)*(h - 1)*(h + 1)**3/2
Let d be -5 - (-228)/42 - (-23)/322. Factor u - d*u**4 + 0 + 3/2*u**2 + 0*u**3.
-u*(u - 2)*(u + 1)**2/2
Let a(y) be the second derivative of -27*y**7/14 + 51*y**6/10 - 7*y**5/20 - 137*y**4/12 + 44*y**3/3 - 8*y**2 + 120*y. Suppose a(g) = 0. What is g?
-1, 4/9, 1
Suppose 5*d = -4*q + 28, -2*d - 4*q = -0*d - 16. Suppose 6*p + 49*p**2 + 3*p**d + 0*p**4 - 58*p**2 = 0. Calculate p.
-2, 0, 1
Let k = -335 - -335. Let b(o) be the second derivative of 6*o + 1/7*o**2 + k*o**3 + 0 - 1/42*o**4. What is q in b(q) = 0?
-1, 1
Let v(q) be the second derivative of q**5/80 - 5*q**4/48 + 7*q**3/24 - 3*q**2/8 + 65*q. Let v(w) = 0. Calculate w.
1, 3
What is y in 3/2 - 1/2*y**5 + y**2 - 3*y**3 - 5/2*y**4 + 7/2*y = 0?
-3, -1, 1
What is b in -46/3*b + 2/3*b**2 + 44/3 = 0?
1, 22
Let z(c) = 2*c**4 + 8*c**3 - 25*c**2 - 20. Let i(y) = -2*y**4 - 6*y**3 + 26*y**2 + 24. Let u(l) = 5*i(l) + 6*z(l). Factor u(m).
2*m**2*(m - 1)*(m + 10)
Let w be (-4)/(-6)*36/8. Determine o so that -3*o**2 + 5*o**2 - o**2 + 2 + w*o = 0.
-2, -1
Let j be 1 - 3 - (-12 + 8). Find r, given that -69*r + 59*r + 17 - 5 - 2*r**j = 0.
-6, 1
Suppose 1 + 27 = 2*k + 2*b, b + 31 = 4*k. Let n(g) be the second derivative of -k*g + 0*g**2 + 0 - 1/70*g**5 - 2/21*g**3 - 1/14*g**4. Solve n(p) = 0 for p.
-2, -1, 0
What is d in -34/9 - 32/9*d + 2/9*d**2 = 0?
-1, 17
Let x(u) be the second derivative of u**4/72 + 3*u**3/2 + 243*u**2/4 - 51*u. Factor x(m).
(m + 27)**2/6
Let 12587*o + o**3 - 12650*o + 17*o**2 - 81 - 2*o**3 = 0. Calculate o.
-1, 9
Let k = 20/1763 - -1683/7052. What is o in 1/4*o**2 - 1/4*o**3 - 1/4 + k*o = 0?
-1, 1
Suppose 0 = 2*k + q + 6 + 3, 2*q = -6. Let x be (-2)/3 + (-8)/k. Factor -4 - x*u**2 - 4*u - 4*u**2 - 1 - u**4 + 4 - 4*u**3.
-(u + 1)**4
Let o(k) be the first derivative of -k**4 + 4*k**3/3 + 12*k**2 - 77. Factor o(q).
-4*q*(q - 3)*(q + 2)
Let c be -16 + ((-990)/(-22) - 27). Factor -3/2*z**c - 21/2*z - 9.
-3*(z + 1)*(z + 6)/2
Let i(u) be the first derivative of 39 - 24*u**2 - 3*u**6 + 29*u**4 - 54/5*u**5 - 64*u + 56*u**3. What is t in i(t) = 0?
-4, -1, -2/3, 2/3, 2
Suppose 0*t - 5*t + 10 = 0. Let i = t + 2. Factor 1/3*a**i + 8/9*a**3 + 0*a + 2/3*a**2 - 1/9.
(a + 1)**3*(3*a - 1)/9
Let p(h) be the first derivative of h**5/15 + 2*h**4/3 + 2*h**3 + 8*h**2 + 3. Let x(g) be the second derivative of p(g). Factor x(y).
4*(y + 1)*(y + 3)
Let o(d) be the second derivative of d**8/2240 - d**7/840 - 13*d**4/12 - 8*d. Let x(p) be the third derivative of o(p). Factor x(j).
3*j**2*(j - 1)
Let r(d) = d**3 - d**2. Let p(w) = -3*w**5 - 18*w**4 + 42*w**2 + 117*w + 54. Let h(u) = -p(u) + 18*r(u). Find v, given that h(v) = 0.
-3, -1, 2
Let a(k) be the second derivative of 5*k**7/42 - k**5/4 - 121*k. Factor a(x).
5*x**3*(x - 1)*(x + 1)
Let l(m) be the first derivative of -1/8*m**2 + 0*m + 1/12*m**3 + 11. Factor l(q).
q*(q - 1)/4
Let a(b) be the first derivative of -b**6/40 - b**5/20 + b**4/8 + b**3/2 - 4*b**2 + 19. Let w(k) be the second derivative of a(k). Factor w(r).
-3*(r - 1)*(r + 1)**2
Let q be 15/60 + (-1)/(-28). Let i = 3/10 + -1/70. Find j, given that -q*j**2 + 0 - 2/7*j**5 + i*j**4 + 2/7*j**3 + 0*j = 0.
-1, 0, 1
Let a(t) be the second derivative of -t**4/6 - 16*t**3 - 92*t**2 - 18*t - 1. Determine s so that a(s) = 0.
-46, -2
Let n(w) be the second derivative of -7/24*w**3 - 1/16*w**5 - 1/4*w**2 + 0 - 1/120*w**6 - 3/16*w**4 + 29*w. Factor n(h).
-(h + 1)**3*(h + 2)/4
Let j(t) be the second derivative of -5/48*t**4 + 5/4*t**3 + 0 - 11*t - 45/8*t**2. Find x such that j(x) = 0.
3
Find m, given that 6/17*m - 8/17*m**3 + 0*m**4 - 4/17 + 4/17*m**2 + 2/17*m**5 = 0.
-2, -1, 1
Let j(s) = -s**4 + 29*s**3 - 29*s**2 - 5. Let t(d) = -3*d**4 + 7*d**2 - 79*d**2 - 10*d**3 - 12 + 82*d**3. Let v(b) = -12*j(b) + 5*t(b). Factor v(o).
-3*o**2*(o - 2)**2
Let w(h) be the third derivative of -2*h**7/525 + h**6/50 - 2*h**4/15 + h**2 - 36. Determine m, given that w(m) = 0.
-1, 0, 2
Suppose 4*t + o = 118, -t + 3*o = -6*t + 151. Let -2*n**5 - n**4 + 3*n**3 - 28*n**2 + t*n**2 - 3*n + 2*n = 0. What is n?
-1, 0, 1/2, 1
Let n(q) = -3*q**5 + 9*q**4 - 7*q**3 - 6*q**2 + 8*q - 4. Let u(a) be the first derivative of -a**4/4 - a**2/2 - a + 36. Let c(b) = n(b) - u(b). Factor c(m).
-3*(m - 1)**4*(m + 1)
Let b(w) be the second derivative of -w**7/336 + 3*w**5/80 - w**4/12 + w**3/16 + 2*w + 12. Factor b(n).
-n*(n - 1)**3*(n + 3)/8
Let n(f) b