d b such that 3/7*b**3 + 9/7*b + 0 + d*b**2 = 0.
-3, -1, 0
Let l(f) be the third derivative of -5*f**7/42 - 13*f**6/24 - 11*f**5/12 - 5*f**4/8 + 8*f**2 + 7. Find n, given that l(n) = 0.
-1, -3/5, 0
Let h = 161/3480 + -2/435. Let g(q) be the second derivative of h*q**3 + 0*q**2 - 1/48*q**4 + 0 + 7*q. Factor g(c).
-c*(c - 1)/4
Let r(g) be the second derivative of -g**5/100 + g**4/24 - g**3/15 - 7*g**2 - 12*g. Let d(o) be the first derivative of r(o). Let d(b) = 0. Calculate b.
2/3, 1
Let k(z) be the second derivative of z**6/72 - z**5/8 + 5*z**4/12 + 7*z**3/6 - 11*z. Let a(s) be the second derivative of k(s). Factor a(t).
5*(t - 2)*(t - 1)
Let -18/13*d**4 + 0 + 0*d + 32/13*d**2 + 12/13*d**3 + 2/13*d**5 = 0. What is d?
-1, 0, 2, 8
Determine a, given that 0 - 3/4*a**5 - 9/4*a**4 - 3/2*a**3 + 0*a**2 + 0*a = 0.
-2, -1, 0
Factor 21/2 - 3/4*p**2 + 39/4*p.
-3*(p - 14)*(p + 1)/4
Let a(z) be the third derivative of 1/225*z**5 + 0*z + 4/1575*z**7 + 4*z**2 - 7/900*z**6 + 0 + 0*z**3 + 1/180*z**4. Factor a(h).
2*h*(h - 1)**2*(4*h + 1)/15
Let q(b) = 3*b**5 - 30*b**3 + 54*b**2 - 15*b - 6. Let f(m) = 9*m**5 + m**4 - 91*m**3 + 160*m**2 - 45*m - 17. Let r(d) = -6*f(d) + 17*q(d). Factor r(z).
-3*z*(z - 1)**3*(z + 5)
Factor 80*x**2 + 175*x - 60 - 7041*x**4 + 45*x**3 - 245*x**2 + 7046*x**4.
5*(x - 1)**3*(x + 12)
Let b(y) be the third derivative of 0*y - 1/210*y**5 + 0 + 0*y**3 + 19*y**2 + 1/42*y**4. Solve b(c) = 0.
0, 2
Suppose 2*u = -k - 395, -28 = 3*k - 13. Let h = -193 - u. Find o such that 14/5*o + 4/5 + 2*o**h = 0.
-1, -2/5
Factor 20/7 - 2*y**2 + 8/7*y**3 - 2*y.
2*(y - 2)*(y - 1)*(4*y + 5)/7
Let f(w) be the first derivative of w**5 + 5*w**4/2 - 5*w**2 - 5*w - 96. Solve f(n) = 0.
-1, 1
Let h(m) be the third derivative of m**5/300 - 7*m**4/20 + 147*m**3/10 + 69*m**2. Determine g, given that h(g) = 0.
21
Suppose 246 = 15*h + 26*h. Let m(f) be the second derivative of 1/4*f**4 - 3/2*f**3 + 0 - 11*f - h*f**2. Determine q so that m(q) = 0.
-1, 4
Let d(l) be the third derivative of l**6/540 + 16*l**5/135 - 67*l**4/108 + 34*l**3/27 + 129*l**2. Factor d(h).
2*(h - 1)**2*(h + 34)/9
Let a = 16722/117103 + 1/16729. Factor -a - 16/7*l**2 + 8/7*l.
-(4*l - 1)**2/7
Suppose 37*i - 38*i = -2*f - 10, 0 = -3*i - 3*f - 15. Let -2/17*l**2 + i + 2/17*l**4 - 6/17*l + 6/17*l**3 = 0. Calculate l.
-3, -1, 0, 1
Suppose 0*n - 7*n + 84 = 0. Let h be (n/(-8) - 1) + 1*4. Factor 1/2*i**4 - 1/2*i + h*i**2 + 0 - 3/2*i**3.
i*(i - 1)**3/2
Let h be 2 - (4/10 - (-4)/(-10)). Let o be (-12)/21 + 3 - h/7. Suppose -12/7 - 24/7*j + o*j**2 = 0. Calculate j.
-2/5, 2
Determine a, given that -20 - 15*a**5 + 85*a**4 - 49*a**2 + 20*a**2 - 36*a**2 - 55*a**3 + 80*a - 10*a**5 = 0.
-1, 2/5, 1, 2
Suppose 180 - 448 = -67*q. Let c(k) be the third derivative of 1/8*k**3 + 7/96*k**q - 3*k**2 + 1/480*k**6 + 1/48*k**5 + 0 + 0*k. Factor c(v).
(v + 1)**2*(v + 3)/4
Suppose 5*q - n - 3*n = -90, -3*q = 5*n + 54. Let r(h) = 11*h**2 - 12*h + 1. Let i(f) = 39*f**2 - 42*f + 3. Let d(c) = q*r(c) + 5*i(c). Factor d(z).
-3*(z - 1)**2
Let n(c) be the first derivative of -3*c**4/4 + 12*c**3 - 27*c**2/2 - 66*c + 47. Factor n(k).
-3*(k - 11)*(k - 2)*(k + 1)
Let w(n) be the second derivative of n**6/24 + n**5/10 + n**4/48 - n**3/12 - 5*n - 7. Find a, given that w(a) = 0.
-1, 0, 2/5
Let u(x) be the first derivative of -2*x**6/3 + 32*x**4 - 512*x**2 + 282. Determine y, given that u(y) = 0.
-4, 0, 4
What is b in 2/5*b**3 - 1/5*b + 4/5*b**4 - 1/5*b**5 - 8/5*b**2 + 4/5 = 0?
-1, 1, 4
Suppose -14*d = -10*d - 32. What is b in 4*b - 4*b**5 + 13 - 13 - 5*b**4 - 3*b**4 + d*b**2 = 0?
-1, 0, 1
Factor 4/5*n**2 + 96/5 + 44/5*n.
4*(n + 3)*(n + 8)/5
Let m(v) be the second derivative of 44/3*v**3 + 4*v + 81/10*v**5 - 15*v**4 - 9/5*v**6 - 8*v**2 + 0. Let m(s) = 0. What is s?
2/3, 1
Let n = -3689/18 + 205. Let s(l) be the second derivative of -n*l**4 + 0*l**2 + l + 1/30*l**5 + 0 + 0*l**3. Find q such that s(q) = 0.
0, 1
Let a(w) be the second derivative of w**5/20 + 17*w**4/12 + 17*w**3/6 + 9*w**2 - 27*w. Let s be a(-16). Factor -10/3*k**2 - 2/3*k**3 - s*k + 6.
-2*(k - 1)*(k + 3)**2/3
Let f(j) = 2*j**5 - 4*j**4 + 4*j**2 - 4*j. Let z(y) = -10*y**5 + 19*y**4 + y**3 - 19*y**2 + 20*y. Let n(i) = 22*f(i) + 4*z(i). Let n(m) = 0. What is m?
-1, 0, 1, 2
Let o(s) be the second derivative of s**7/21 + 3*s**6/5 + 23*s**5/10 + 11*s**4/6 - 8*s**3 - 20*s**2 - 372*s. Let o(q) = 0. Calculate q.
-5, -2, -1, 1
Suppose -3 = c + 1, -q - c - 2 = 0. Suppose -q*y = -7 + 3. Factor 28*l + 12*l**3 + 5*l**y + 31*l**2 + 8 - 4*l**2.
4*(l + 1)**2*(3*l + 2)
Suppose 6*d = 3*d + 111. Let h = d - -3. Determine z so that -4 + 0*z**5 + 4*z**5 + 20*z - 7*z**4 - h*z**2 + 11*z**3 + 29*z**3 - 13*z**4 = 0.
1
Let v = 27 + -19. Let p be ((-2)/(-26))/((2/v)/1). Factor -2/13*i**4 + 0*i + p*i**3 + 0*i**2 + 0.
-2*i**3*(i - 2)/13
Let g(x) = x**2 - 2*x + 1. Let d(s) = 10*s**2 - 65*s + 95. Let y(z) = d(z) - 5*g(z). Determine j, given that y(j) = 0.
2, 9
Find i, given that 17832*i - 63732*i + 4841*i**3 + 5780 + 80*i**4 + 89765*i**2 + 559*i**3 = 0.
-34, 1/4
Let o(s) be the first derivative of 0*s**2 + 2/15*s**4 - 2/45*s**3 + 0*s - 8/75*s**5 - 28. What is z in o(z) = 0?
0, 1/2
Factor 194*o**3 - 206*o**3 + 10*o**2 - 6*o**4 + 0*o**4 + 8*o**4.
2*o**2*(o - 5)*(o - 1)
Let h(v) be the second derivative of v**7/126 + v**6/9 + 77*v. Find b, given that h(b) = 0.
-10, 0
Let h(i) be the third derivative of i**7/70 - 7*i**6/40 + 9*i**5/10 - 5*i**4/2 + 4*i**3 - 2*i**2 + 3. Factor h(j).
3*(j - 2)**3*(j - 1)
Let k(j) = -19*j**2 - 5*j + 4*j + 4*j - 8 + 16*j**2. Let t(m) = 2*m**2 - 2*m + 5. Let b be (1/(-2))/(5/(-50)). Let r(s) = b*k(s) + 8*t(s). Solve r(n) = 0.
0, 1
Let v(l) be the first derivative of 4*l**3/3 - 10*l**2 + 16*l - 53. Factor v(t).
4*(t - 4)*(t - 1)
Let q(u) be the second derivative of -u**9/75600 + u**7/12600 - u**4/3 - 3*u. Let f(g) be the third derivative of q(g). Solve f(l) = 0.
-1, 0, 1
Let s(c) be the third derivative of 1/30*c**6 + 0*c + 0 + 0*c**3 + 2/15*c**5 + 0*c**4 - 11*c**2. Factor s(y).
4*y**2*(y + 2)
Let -3*t**2 + 2*t**5 + 12*t**4 + 25*t**3 - 5*t**2 - 15*t - 7*t**3 - 9*t = 0. What is t?
-3, -2, 0, 1
Let k be ((-3094)/5304)/((-4)/18). Find u, given that 3/8*u**5 + 3 + 0*u**4 + 9/2*u - k*u**3 - 3/4*u**2 = 0.
-2, -1, 2
Let t(m) = m**3 - m**2 - 2*m. Let s(z) = -10*z**3 + 3*z**2 + 30*z + 8. Let d(h) = s(h) + 5*t(h). Factor d(x).
-(x - 2)*(x + 2)*(5*x + 2)
Suppose -y - 5*u - 18 = 10, 4*y + 3*u = -44. Let h be (24/(-16))/(3/y). Factor -6*r**4 + 2*r**4 + 1 + r**3 - 3*r**3 + 3*r**h + 2*r.
-(r - 1)*(r + 1)**3
Let w(f) be the second derivative of 0*f**2 + 0 + 0*f**4 - 23*f + 0*f**3 + 1/40*f**5. Determine z so that w(z) = 0.
0
Suppose -4*g = -o + 46, -2*o - 4*g - g + 27 = 0. Let v be o/28 - ((-80)/(-56) + -1). Factor 0 - 1/4*u**2 - v*u.
-u*(u + 2)/4
Let g(p) be the first derivative of -39/20*p**5 - 3*p + 17/4*p**3 - 11 + 5/8*p**6 - 3/2*p**2 - 3/16*p**4. Determine w, given that g(w) = 0.
-1, -2/5, 1, 2
Suppose -1/4*k**4 - 3/2*k**2 - 1/4 - k - k**3 = 0. What is k?
-1
Let m be (-2)/4*(32 + -32). Let t(h) be the second derivative of m*h**2 + 0 + 14*h - 1/6*h**3 - 1/8*h**4. Factor t(o).
-o*(3*o + 2)/2
Let y(r) be the first derivative of -r**6/8 - 6*r**5/5 - 27*r**4/8 - 4*r**3 - 15*r**2/8 - 117. Factor y(x).
-3*x*(x + 1)**3*(x + 5)/4
Determine u so that -30/7*u + 4 + 2/7*u**2 = 0.
1, 14
Let h(x) = -x**3 - 5*x**2 - 98*x - 273. Let k be h(-3). Let g = -104/3 + 35. Factor -1/3*z**k + 0 + 4/3*z - 4/3*z**2 + g*z**4.
z*(z - 2)*(z - 1)*(z + 2)/3
Let w(f) be the first derivative of f**5/20 - f**4/4 + f**3/3 + 10. Factor w(y).
y**2*(y - 2)**2/4
Suppose 0 = 10*g - 68 - 12. Suppose -4*q = -3*w + 3, g*q - 5*q + 2 = 2*w. Find h, given that 0*h**3 - 9/5*h**2 + q - 6/5*h + 3/5*h**4 = 0.
-1, 0, 2
Let b(t) be the second derivative of -t**3/2 - t**2/2 + 30*t. Let x be b(-1). Solve 3/2*s**x - 3/2 + 3/4*s - 3/4*s**3 = 0.
-1, 1, 2
Let d be (3/(-3))/(2 + -3). Let y be (4/(-12))/(d - (-19)/(-12)). Let 6/7*k + 10/7*k**2 - y = 0. Calculate k.
-1, 2/5
Factor 1/4*k**4 + 1/2*k + k**3 + 0 + 5/4*k**2.
k*(k + 1)**2*(k + 2)/4
Let i(b) be the first derivative of b**2 - 1 + 2*b + 1/6*b**3 - 1/4*b**4. Let m(f) be the first derivative of i(f). Suppose m(p) = 0. Calculate p.
-2/3, 1
Suppose -5*d - 22 = -4*t, -3*t + 5*d + 27 = 8. Let m(r) be the f