d derivative of 13 + 0*r + 1/6*r**4 - 1/90*r**5 + r**2 - 8/9*r**3. Let v(f) = 0. Calculate f.
2, 4
Let g(b) be the first derivative of 4/23*b**2 + 2/115*b**5 + 8/23*b + 37 + 1/69*b**6 - 10/69*b**3 - 5/46*b**4. What is z in g(z) = 0?
-2, -1, 1, 2
Let z be (((-3430)/(-504))/35)/((-14)/(-84)). Let z*v**2 + v + 0 + 0*v**3 - 1/6*v**4 = 0. Calculate v.
-2, -1, 0, 3
Factor -8/11*h - 2/11*h**2 + 10/11.
-2*(h - 1)*(h + 5)/11
Let a(i) = -7*i + 121. Let k be a(17). Let w = 131/48 - 1/16. Find b such that 0*b**k - 4/3 - w*b + 4/3*b**4 + 8/3*b**3 = 0.
-1, 1
Let j(w) be the third derivative of 24/11*w**3 + 17/11*w**4 + 1/132*w**6 + 0 - 26*w**2 + 31/165*w**5 + 0*w. Find u such that j(u) = 0.
-6, -2/5
Factor -4/5*h**4 + 8/5*h + 8/5*h**2 + 2/5*h**5 - 6/5*h**3 + 0.
2*h*(h - 2)**2*(h + 1)**2/5
Let v be (-9)/1*(-6 + 5). Factor 3*c - 18*c**2 - 3*c**2 + v*c**3 + 23*c**3 - 14*c**3.
3*c*(c - 1)*(6*c - 1)
Let w(v) be the third derivative of -v**6/24 + 17*v**5/3 - 335*v**4/24 - 116*v**2. Factor w(z).
-5*z*(z - 67)*(z - 1)
Let l(k) be the second derivative of k**5/300 - k**3/30 - 9*k**2/2 + k. Let z(q) be the first derivative of l(q). Factor z(f).
(f - 1)*(f + 1)/5
Let r(y) = y + 9. Let z be r(-5). Let v be z/((-48)/52) + 5. Factor -4/3 - 10/3*a + 2/3*a**3 - 2*a**2 + v*a**4.
2*(a - 2)*(a + 1)**3/3
Let f = 3/58 + 42/29. Let b be (-40)/16 + 2 + 1. Factor -b*d**3 - f*d**2 - 3/2*d - 1/2.
-(d + 1)**3/2
Let c = 17 - 15. Suppose -3*i + c + 4 = 0. Factor 12*g**2 + 8*g + 9*g**i - 4*g**4 - 9*g**2.
-4*g*(g - 2)*(g + 1)**2
Let d(q) be the third derivative of q**5/140 + 19*q**4/4 + 2527*q**3/2 + 127*q**2. Factor d(o).
3*(o + 133)**2/7
Let t be ((-252)/161)/(-2) + 4/10. Let o = -18/23 + t. Factor -8/5*k**4 + o + 6/5*k**2 + 3/5*k**5 + 4/5*k**3 - 7/5*k.
(k - 1)**3*(k + 1)*(3*k - 2)/5
Let w be ((-75)/(-10))/15*10. Suppose 0 - 2/7*g**w + 0*g**2 - 8/7*g**3 + 0*g - 8/7*g**4 = 0. What is g?
-2, 0
Let m be 5 + 3 + -6 + (4 - 2). Let j(q) be the third derivative of 1/8*q**m - 1/40*q**6 - 2*q**2 + 0*q + 0*q**3 + 0 + 0*q**5. Solve j(d) = 0 for d.
-1, 0, 1
Suppose -14 = 4*m - 38. Suppose 5*j + o + m = 9*j, 0 = -3*j - o + 8. Let 1/7*c**j + 16/7 - 8/7*c = 0. Calculate c.
4
Let k(v) be the first derivative of 2*v**3/15 + 34*v**2/5 - 144*v/5 + 158. Factor k(z).
2*(z - 2)*(z + 36)/5
Let k(f) = 3*f + 7 + 3*f - 5*f - 2*f. Let c be k(6). Factor 0*l**4 + 5*l - 4*l**2 - 3*l + c - 2*l**3 + 4*l**4 - l**4.
(l - 1)**2*(l + 1)*(3*l + 1)
Factor 32/9 + 8/3*i + 0*i**2 - 2/9*i**3.
-2*(i - 4)*(i + 2)**2/9
Factor 0*u - 12/5*u**3 + 38/15*u**2 + 0 - 2/15*u**4.
-2*u**2*(u - 1)*(u + 19)/15
Let d(j) = -3*j**2 - 25*j + 12. Suppose 0*t - t = -3*k + 14, 0 = 4*k - 3*t - 12. Let u(s) = -2*s**2 - 24*s + 11. Let v(m) = k*u(m) - 5*d(m). Factor v(z).
(z - 6)*(3*z - 1)
Let z be 2 + 4 + -7 + 1. Let d(l) be the third derivative of -1/60*l**6 + z*l**3 + 1/30*l**5 + 0 + 0*l**4 + l**2 + 0*l. Factor d(k).
-2*k**2*(k - 1)
Solve 374/13*n - 1734/13 + 2/13*n**3 + 62/13*n**2 = 0.
-17, 3
Suppose 4/9 - 11/9*c - 13/3*c**2 - 5/9*c**4 - 29/9*c**3 = 0. What is c?
-4, -1, 1/5
Let a(i) = i**3 + 6*i**2 - 36*i + 4. Let h(w) = -15*w**3 - 85*w**2 + 505*w - 55. Let k(z) = 55*a(z) + 4*h(z). Factor k(o).
-5*o*(o - 2)*(o + 4)
What is i in -99 + 2*i**2 + 20*i - 19*i - 15*i + 27 - 4*i = 0?
-3, 12
Let n = 5 - 3. Suppose -n*r + 3 = 5*t, -5*t - 5*r + 15 = -0*t. Let v(d) = d - 1. Let a(l) = 3*l**2 - 3*l. Let p(m) = t*a(m) + 6*v(m). Factor p(c).
-3*(c - 2)*(c - 1)
Find u such that 12*u + 24 + 39*u**2 - 75*u**2 + 18*u**2 - u**3 + 3*u**4 - 2*u**3 = 0.
-2, -1, 2
Let x be (-9*(-7)/756)/(15/320). Factor -2/9*z**2 - 32/9 + x*z.
-2*(z - 4)**2/9
Let q be 5*4/40 - 411/6. Let j = 545/8 + q. Factor 0 - 1/8*x**2 + 1/4*x + j*x**4 - 1/4*x**3.
x*(x - 2)*(x - 1)*(x + 1)/8
Let c(g) be the first derivative of 4*g**6/15 + 3*g**5/5 - g**4 - 4*g**3/3 - 24*g + 19. Let j(d) be the first derivative of c(d). Let j(v) = 0. What is v?
-2, -1/2, 0, 1
Let d be (-15)/(765/323) - -7. Determine b so that 2/3*b + d*b**5 + 2 - 4/3*b**3 + 2*b**4 - 4*b**2 = 0.
-3, -1, 1
Suppose 0 = 1495*m - 1496*m + 5. Let d(i) be the second derivative of 0 - 5/12*i**4 - m*i**2 - 5/2*i**3 - 13*i. Determine x, given that d(x) = 0.
-2, -1
Suppose -7*j + j = -240. Let t be (j/12)/((-22)/12) - -2. Let 0*m**3 - 2/11*m + t*m**5 + 4/11*m**4 - 4/11*m**2 + 0 = 0. What is m?
-1, 0, 1
Let a be 2/(-6) - (-48)/9. Let g be ((-8)/(-16))/(4 - 3). Determine l, given that 0*l + g*l**2 + 0 + 3/4*l**3 + 0*l**4 - 1/4*l**a = 0.
-1, 0, 2
Let h = -447 + 453. Let d(f) be the second derivative of 3/2*f**3 + 3/20*f**5 - 3/4*f**4 + 0 - 3/2*f**2 - h*f. Factor d(j).
3*(j - 1)**3
Determine g so that 27*g + 5*g + 36*g**2 - 4*g**4 + 4*g**3 - 68*g = 0.
-3, 0, 1, 3
Suppose o + 23 = w + 18, 15 = w - 3*o. What is h in 2/7*h + 0 + w*h**2 - 2/7*h**3 = 0?
-1, 0, 1
Let l(y) be the third derivative of -y**8/21 + 2*y**7/105 + 4*y**6/5 - 38*y**5/15 + 10*y**4/3 - 2*y**3 - 15*y**2 - 4*y. Solve l(q) = 0 for q.
-3, 1/4, 1
Determine m so that 3/5*m**2 + 9/5*m**3 - 9/5*m + 0 - 3/5*m**4 = 0.
-1, 0, 1, 3
Suppose -1/8*o**2 + 11/4*o - 121/8 = 0. Calculate o.
11
Let h be 9/27 + (-124)/(-6). Determine d, given that -h*d**4 + 7*d**5 - 2*d**5 + d**4 - 10*d**2 + 25*d**3 = 0.
0, 1, 2
Let o = -662 + 25819/39. Let f(a) be the second derivative of -1/195*a**6 + 1/78*a**4 + 0 - 1/130*a**5 + o*a**3 + 0*a**2 + 4*a. Factor f(t).
-2*t*(t - 1)*(t + 1)**2/13
Let d = -558 + 561. Factor -2/15*c**d - 2/15*c**2 + 0 + 4/15*c.
-2*c*(c - 1)*(c + 2)/15
Factor 1/2*f**3 + 0 - 5/2*f**2 - 12*f.
f*(f - 8)*(f + 3)/2
Let a(h) be the second derivative of -h**7/5040 - h**6/144 - 5*h**5/48 - h**4/4 - 16*h. Let o(u) be the third derivative of a(u). Suppose o(n) = 0. Calculate n.
-5
Let o(f) = -4*f**3 - f**2 + f + 1. Let i be o(-1). Suppose 6*v - 18 = i*v. Suppose 2*k + 3*k**2 - v*k**2 + k**3 + k**4 + 2 - 3*k + 0*k = 0. What is k?
-2, -1, 1
Let h = 12 - 10. Suppose 5*n = h*n. Factor n*r**3 + 3*r - 7*r**4 + 3*r**4 - 3*r**3 + 3*r**2 + r**4.
-3*r*(r - 1)*(r + 1)**2
Determine u so that -1/9*u**2 - 2/9*u + 1/3 = 0.
-3, 1
Let r(l) be the first derivative of -l**5/25 - 21*l**4/4 - 245*l**3 - 8575*l**2/2 - 36. What is a in r(a) = 0?
-35, 0
What is l in 23200*l - 1394/7*l**2 - 107648/7 + 3/7*l**3 = 0?
2/3, 232
Suppose 5*l = 6*l + 3*q, -q = 5*l - 14. Let p(u) be the second derivative of -1/6*u**2 + u + 1/9*u**l - 1/36*u**4 + 0. Solve p(x) = 0 for x.
1
Let s be (3/(-5))/((-90)/300). Let a = 23 - 114/5. Determine c so that 0*c + a*c**s - 1/5 = 0.
-1, 1
Let a(x) be the third derivative of 2*x**7/105 - x**6/10 + x**5/5 - x**4/6 + 3*x**2 - 3*x. Let a(m) = 0. What is m?
0, 1
Let x = 128/63 + -44/63. Let j(y) be the second derivative of x*y**3 - 2*y**2 + 10*y - 1/3*y**4 + 0. Find l such that j(l) = 0.
1
Find v such that 0 - 4/7*v**2 + 52/7*v = 0.
0, 13
Let r be (-14)/161*(-1)/(-2). Let z = r + 74/115. Suppose -9/5*t**3 + 3/5*t**2 - z*t**4 + 3/5*t**5 + 0 + 6/5*t = 0. What is t?
-1, 0, 1, 2
Let a(w) be the first derivative of w**6/21 - 22*w**5/35 + w**4/2 + 62*w**3/21 - 8*w**2/7 - 40*w/7 + 205. Suppose a(u) = 0. What is u?
-1, 1, 2, 10
Factor 47/7*w + 46/7*w**2 - 1/7*w**3 + 0.
-w*(w - 47)*(w + 1)/7
Let s(z) be the third derivative of -z**8/6720 + z**6/60 - z**5/10 - 40*z**2. Let i(f) be the third derivative of s(f). Factor i(n).
-3*(n - 2)*(n + 2)
Suppose 0 = 3*a - 2*c - 11, 1 = a - 3*c - 5. Determine i so that 335*i**3 - 4*i**4 - 1 - 311*i**a + 1 - 8*i**5 + 8*i + 28*i**2 = 0.
-1, -1/2, 0, 2
Let d(t) be the third derivative of t**8/504 - t**7/63 - 23*t**6/180 - 11*t**5/90 + 11*t**4/18 + 16*t**3/9 - t**2 + 54. Determine w, given that d(w) = 0.
-2, -1, 1, 8
Find o, given that -61/4*o**2 - 5/4*o**3 - 11/4 - 67/4*o = 0.
-11, -1, -1/5
Let i = 3981/763 - 522/109. Factor -3/7*c - 6/7 + i*c**2.
3*(c - 2)*(c + 1)/7
Let q be -4*(3/(-6) - 0). Factor 26*u - 20*u**3 - 16*u**q + 24*u**3 - 6*u - 8.
4*(u - 2)*(u - 1)**2
Let q(h) be the first derivative of 1/120*h**6 + 1/60*h**5 - 6 + 0*h**3 + 0*h + 3/2*h**2 + 0*h**4. Let x(g) be the second derivative of q(g). Factor x(p).
p**2*(p + 1)
Determine z, given that -192/5*z + 56/5 - 14/5*z**2 = 0.
-14, 2/7
Let g(r) be the third derivative of -r**5/120 + r**4/8 + 9*r**3/4 + 726*r**2. Determine n, given that g(n) = 0.
-3, 9
Let g(b) = -b**2 - 4*b + 12. Let i be g(0). Factor 22*p**3 - 24*p + 9*