iven that -w**2 - w**3 + 1/2*w**u + 1/2*w**5 + 1/2 + 1/2*w = 0.
-1, 1
Let a(f) be the third derivative of 17/84*f**4 + 0 + 10/21*f**3 + 1/70*f**5 + 0*f - 20*f**2. Suppose a(k) = 0. Calculate k.
-5, -2/3
What is o in 17/7*o**2 + 12/7*o + 0 - 2/7*o**4 + 3/7*o**3 = 0?
-3/2, -1, 0, 4
Let j(q) be the first derivative of -q**7/210 + q**6/40 - q**4/6 - 11*q**2/2 - 6. Let z(s) be the second derivative of j(s). Let z(d) = 0. Calculate d.
-1, 0, 2
Let d be (0 - 3)*(4 + (-85)/15). Suppose 0 = 4*i - d*k + 1, 9*i = 11*i - 4*k + 8. Let 4*b**4 + 0 - 1/2*b - i*b**3 + 3*b**2 = 0. What is b?
0, 1/2
Let v be 2/(-12) + 41/30. Let l be (-6)/9 + 208/195. Suppose -2/5*s**3 + l - 6/5*s + v*s**2 = 0. What is s?
1
Let b(j) = j**3 - 7*j**2 + 8*j - 13. Let m be b(7). Suppose 3*z = 2*f - 30, -4*f - 3*z = 1 - m. Factor -7*i**2 - f - 15*i - 3*i**3 - 8*i**2 + 0*i - 9*i.
-3*(i + 1)*(i + 2)**2
Find s, given that -3*s**5 + 33*s**4 + 41*s + 208*s**2 + 81 + 62*s**2 - 284*s - 138*s**3 = 0.
1, 3
Let u(y) be the third derivative of y**5/6 + 95*y**4/24 + 20*y**3 + 881*y**2. Let u(j) = 0. What is j?
-8, -3/2
Let a = -56 - -60. Factor -312*m**3 + 10*m + 6*m**a - 13*m**2 + 286*m**3 - 12 + 35*m**2.
2*(m - 3)*(m - 1)**2*(3*m + 2)
Suppose -24 = 9*m - 96. Factor -p**4 - 21*p - p**2 - m*p**2 + 17*p - 6*p**3.
-p*(p + 1)**2*(p + 4)
Let k(o) = -o**3 + 3*o**2 + o - 3. Let s(j) = j**2 - 1. Let x = -6 + 10. Let g(i) = x*s(i) - k(i). Factor g(m).
(m - 1)*(m + 1)**2
Let t = 24 + -9. Let a be (-4)/20 + (0 - (-57)/t). Factor -2/5*q**2 - a - 12/5*q.
-2*(q + 3)**2/5
Let i(v) = -v**5 - v**4 - v**2 - v + 1. Let c(y) = 3*y**2 + 14*y - 4 - 6 + 1 + 15*y**4 - 2*y + 6*y**5. Let w(p) = c(p) + 9*i(p). Factor w(t).
-3*t*(t - 1)**3*(t + 1)
Let v(x) be the second derivative of 4*x**7/21 + 2*x**6/3 - 3*x**5/2 - 65*x**4/12 - 35*x**3/6 - 3*x**2 - 2*x + 50. Suppose v(c) = 0. Calculate c.
-3, -1/2, 2
Let p = -277/15 - -93/5. Let l(q) be the third derivative of 2/3*q**3 + 2/5*q**5 + 0*q + 0 - 4*q**2 + 2/3*q**4 + 2/105*q**7 + p*q**6. Factor l(j).
4*(j + 1)**4
Suppose 10*k - 14 - 6 = 0. Let y(g) be the third derivative of -1/20*g**6 + 1/3*g**3 + 0*g + 0 - 5*g**k - 1/12*g**4 - 1/6*g**5. What is l in y(l) = 0?
-1, 1/3
Let l(c) be the second derivative of -c**6/45 + 13*c**5/30 - 8*c**4/3 + 4*c**3 - c + 26. Factor l(u).
-2*u*(u - 6)**2*(u - 1)/3
Let q(t) be the third derivative of 0 + 0*t - 40*t**2 + 1/36*t**4 + 1/60*t**5 + 0*t**3 + 1/360*t**6. Solve q(a) = 0 for a.
-2, -1, 0
Suppose 1/4*l**2 + 37/4*l + 9 = 0. Calculate l.
-36, -1
Suppose 10*x = 131 - 1. Factor 33*y**4 + 51*y**5 + y**2 + 24*y**3 - x*y**2 - 42*y**5.
3*y**2*(y + 2)**2*(3*y - 1)
Suppose 6*f - 54 = 3*f. Let p be (-4 - -6) + 0 + f. Factor -30*v + p*v - 62*v + 8 + 162*v**2.
2*(9*v - 2)**2
Suppose 5*y + 4*q = 55, -4*q - 22 = -2*y - q. Let a = 16 - y. Solve -6*b**a - 8*b**4 + 2*b**3 + 11*b**4 + b**3 = 0.
-1/2, 0, 1
What is n in 3/5*n**2 + 39/5*n + 36/5 = 0?
-12, -1
Let s(b) = 8*b**2 + 4*b + 1. Let m be s(1). Suppose -2*p - 3*g - g = 16, p + 3*g + m = 0. Factor -3/5*t**p + 6/5*t + 0.
-3*t*(t - 2)/5
Let u(f) = -f**2 - 816*f + 57136. Let v(y) = 3*y**2 + 1629*y - 114273. Let m(h) = -9*u(h) - 4*v(h). Suppose m(s) = 0. What is s?
138
Let l = 89 - 87. Let -10*d**3 - d**4 + 4 - 10*d**l + 7*d**5 + 1 - 2*d**5 + 6*d**4 + 5*d = 0. Calculate d.
-1, 1
Suppose 0 = 4*w + 4, 2*z + 0*w - 10 = 4*w. Suppose 0 = -4*i - 0*c - 4*c + 24, -z*i + 14 = 2*c. Suppose -1/4*t**i + t - 1 = 0. Calculate t.
2
Find g, given that -5*g + 1/4*g**2 + 19/4 = 0.
1, 19
Let v(n) be the second derivative of -n**5/4 - 5*n**4/4 + 103*n. Suppose v(i) = 0. What is i?
-3, 0
Let j(y) be the third derivative of y**6/6 - 6*y**5/5 + 7*y**4/6 + 4*y**3 - 102*y**2. Determine i, given that j(i) = 0.
-2/5, 1, 3
Let q(j) = 11*j - 11. Let g be q(8). Let a = -14 + g. Factor -16*l**4 + 9 - a*l**2 - 24*l + 0*l**3 - 6*l**3 + 3 + 37*l**4.
3*(l - 2)*(l + 1)**2*(7*l - 2)
Let -18/5*f**3 + 96/5 + 11/5*f**4 - 68/5*f**2 + 1/5*f**5 + 56/5*f = 0. What is f?
-12, -2, -1, 2
Let a(j) = -6*j**3 + 294*j**2 - 7200*j - 7497. Let n(f) = -f**3 - f**2 + 1. Let v(o) = -a(o) + 3*n(o). Factor v(l).
3*(l - 50)**2*(l + 1)
Let w(b) be the first derivative of 2*b**3/39 + 5*b**2/13 + 12*b/13 - 78. Let w(c) = 0. What is c?
-3, -2
Determine s so that 24/7 - 272/7*s**3 - 170/7*s**2 + 8*s - 10*s**4 = 0.
-3, -1, -2/7, 2/5
Let o(x) be the first derivative of x**6/30 - x**4/6 - x**2/2 + 3. Let j(t) be the second derivative of o(t). Let j(f) = 0. Calculate f.
-1, 0, 1
Let v(f) = -3*f + 44. Let j be v(13). Let o be -2 + (-1)/1 - (2 - j). Factor -6/7*m**4 - 2/7*m**5 + 0 + o*m - 4/7*m**3 + 0*m**2.
-2*m**3*(m + 1)*(m + 2)/7
Let q(x) = -x**2 - 20*x + 47. Let v be q(2). Let h(l) be the first derivative of -7 - 2/3*l**v + 0*l - 3*l**2. Factor h(j).
-2*j*(j + 3)
Let r(z) be the third derivative of z**7/8820 - z**6/1260 - z**4/6 - z**2. Let p(v) be the second derivative of r(v). Find l such that p(l) = 0.
0, 2
Let z(p) be the third derivative of p**10/37800 + p**9/3024 + p**8/630 + p**7/315 + p**5/12 - 15*p**2. Let l(u) be the third derivative of z(u). Solve l(w) = 0.
-2, -1, 0
Let z be ((-33)/6 + 4)/(3/(-8)). Factor -3*l**3 - z*l**5 + 20*l**4 - 4*l**4 - 8*l**4 - l**3.
-4*l**3*(l - 1)**2
Suppose 4*l + 3140 = 3*s - l, 2*s = -l + 2102. Let y = s + -2037/2. Determine v so that -y*v**3 - 21*v - 183/4*v**2 - 27/4*v**4 - 3 = 0.
-2, -1/3
Let j(p) be the second derivative of 2*p**3/3 - 3*p**2/2 + 8*p. Let m be j(2). Solve -v**3 - v**5 + m*v**3 + 4 - v**4 - v**5 + 14*v + 16*v**2 - 3*v**4 = 0.
-1, 2
Suppose -27 = -19*t + 12 + 37. Solve 0 + 1/6*x**t + 0*x + 1/6*x**5 - 2/3*x**3 - 2/3*x**2 = 0 for x.
-2, -1, 0, 2
Suppose -15/8 - 3/2*p**2 - 63/8*p = 0. What is p?
-5, -1/4
Let i be (-3 - 6)/((-13 + 37)/(-8)). Find j such that 1/2*j**5 + 1/2*j**2 + j - 1/2*j**4 - 3/2*j**i + 0 = 0.
-1, 0, 1, 2
Let u be (1/2)/(3/12). Suppose 4 = z - u. Find f such that z*f - 4*f**2 + 2*f**3 - 2 - 2*f**2 + 0*f**3 = 0.
1
Solve -7/2*l**2 - 5/4*l**3 + 0 + 3/4*l = 0 for l.
-3, 0, 1/5
Suppose 51*w - 49*w - 8 = 0. What is m in 4*m + 7*m**5 - w*m**5 - 2*m**5 - 3*m**3 + 2*m**4 - 4*m**2 = 0?
-2, 0, 1
Factor 0 + 0*n + 1/2*n**2 + 1/3*n**3 - 1/6*n**4.
-n**2*(n - 3)*(n + 1)/6
Let r = -2175 + 2178. Factor -3/7*n**2 + 3/7*n**4 - 3/7*n + 3/7*n**r + 0.
3*n*(n - 1)*(n + 1)**2/7
Suppose 0*c + c + 5*b = 19, 2*b = -4*c + 40. Suppose -4*s = 2*m - 17 - c, 2*s - 10 = 0. Let 2/9*v - 2/9*v**m + 0 + 0*v**2 = 0. Calculate v.
-1, 0, 1
Let n(s) be the second derivative of 3*s**4/2 + s**3/12 - s**2/2 + s. Find i, given that n(i) = 0.
-1/4, 2/9
Let m(i) = -28*i**5 - 36*i**4 - 21*i**3 - i**2 - 4*i. Let q(z) = -58*z**5 - 71*z**4 - 41*z**3 - z**2 - 9*z. Let a(c) = -9*m(c) + 4*q(c). Solve a(j) = 0.
-1, -1/2, 0
Let i = -38032/3 - -12678. Let -i*c**2 - 16/3*c - 32/3 = 0. Calculate c.
-4
Let x(d) be the third derivative of d**5/30 - 25*d**3/3 - 77*d**2. Factor x(v).
2*(v - 5)*(v + 5)
Let s be 1343/898 + (-21)/14. Let d = s + 1806/2245. Factor d*a**3 + 6/5*a**5 + 0 + 0*a**2 + 0*a + 2*a**4.
2*a**3*(a + 1)*(3*a + 2)/5
Let l be -1 + 3 + (5 - 2). Let t(k) be the third derivative of 1/660*k**6 + 0 + 0*k**3 - 1/165*k**l + 0*k - 1/44*k**4 + 2*k**2. Factor t(u).
2*u*(u - 3)*(u + 1)/11
Let q(s) be the second derivative of 0*s**5 + 0*s**2 - 1/56*s**7 + 1/10*s**6 + 0*s**3 + 0 - 16*s + 0*s**4. Determine a, given that q(a) = 0.
0, 4
Suppose 18*i = 15*i + 27. Factor -1 + i + 65*h**2 - 4*h - 69*h**2.
-4*(h - 1)*(h + 2)
Find f such that 69*f - 9*f**4 + 31*f**2 - f**4 - 18 - 22*f**3 - 2*f**4 - f**2 - 47*f**3 = 0.
-6, -1, 1/4, 1
Let z(g) be the third derivative of 23*g**2 + 1/30*g**6 + 0*g**3 + 1/210*g**7 + 0 + 0*g**4 + 0*g**5 + 0*g. Solve z(f) = 0 for f.
-4, 0
Suppose -3*k - 2*k = -15. Factor b**k + 0*b**4 + 2*b**4 - 5*b**3 + 2*b**2.
2*b**2*(b - 1)**2
Let z(t) = 2*t**3 + 14*t**2 + 22*t + 24. Let r(b) = b**3 + 7*b**2 + 11*b + 13. Let g(x) = -7*r(x) + 4*z(x). Factor g(n).
(n + 1)**2*(n + 5)
Let d be ((-10)/(-2) - 0)/1. Suppose 0 = -d*t - 4*b + 119, t - 3*t = -b - 58. Factor 8 - 2 - 15*r - t*r**2 - 6*r.
-3*(r + 1)*(9*r - 2)
Let x(c) be the second derivative of -c**6/10 - 33*c**5/20 - 17*c**4/2 - 12*c**3 + c + 21. Factor x(n).
-3*n*(n + 1)*(n + 4)*(n + 6)
Let o(i) be the third derivative of 0 - 2/15*i**5 + 0*i**4 + 8*i**2 + 0*i + 0*i**6 + 2/105*i**7 + 2/3*i**3. Le