 derivative of 1/24*u**3 + 1/8*u**2 - 20 - 3/8*u. Suppose q(o) = 0. What is o?
-3, 1
Let g(n) be the first derivative of 8*n**6/15 + 132*n**5/25 + 68*n**4/5 - 68*n**3/15 - 144*n**2/5 - 64*n/5 - 4669. Solve g(x) = 0.
-4, -1, -1/4, 1
Let s(o) be the first derivative of 81*o**3 - 1080*o**2 + 4800*o + 787. Factor s(p).
3*(9*p - 40)**2
Let u(p) = -15*p**2 - 249*p + 23. Let w(y) = -y**2 - 2*y - 2. Let c(s) = -u(s) - 5*w(s). Factor c(n).
(n + 13)*(20*n - 1)
Suppose -44 = -18*x + 46. Factor -5*i + 233*i**3 + 34*i**2 - 227*i**3 + 0*i - x*i**2.
i*(i + 5)*(6*i - 1)
Let d(w) be the second derivative of w**5/180 - 19*w**3/54 + 5*w**2/3 + w - 932. What is k in d(k) = 0?
-5, 2, 3
Let i(y) be the first derivative of -2/5*y**5 + 11/8*y**4 + 3/4*y**2 - 65 + 0*y - 5/3*y**3. Factor i(g).
-g*(g - 1)**2*(4*g - 3)/2
Let y be (4/(-8))/(((-975)/5870)/13). Let g = y - 363/10. Factor -g*k + 1/6*k**3 + 3/2 + 7/6*k**2.
(k - 1)**2*(k + 9)/6
Let v be (-6)/(-4 - -22) + 55/30. Factor -v*o**3 + 9*o**2 + 3/2*o - 9.
-3*(o - 6)*(o - 1)*(o + 1)/2
Solve -3149 + 15655 + 10182 + 2642 + 98*b**2 + 3360*b + 3470 = 0.
-120/7
Factor -117/2*k + 3/2*k**2 - 60.
3*(k - 40)*(k + 1)/2
Let u(b) be the third derivative of -3*b**5/5 + 4*b**4/3 + 1876*b**2. Factor u(g).
-4*g*(9*g - 8)
Factor 14 - 6*a - 1/2*a**3 - 15/2*a**2.
-(a - 1)*(a + 2)*(a + 14)/2
Let v = -856 + 874. Factor -21*s**3 - 10*s + 26 + 6 - 2*s + 19*s**3 - v*s**2.
-2*(s - 1)*(s + 2)*(s + 8)
Let d(q) be the second derivative of -5*q**4/12 - 665*q**3/6 + 2450*q**2 - 214*q - 1. Suppose d(i) = 0. What is i?
-140, 7
Let p be (5 + -3)*(-4895)/10. Let g be (356/p)/(((-6)/(-11))/(-1)). Solve g*s + 2/9 + 4/9*s**2 = 0.
-1, -1/2
Suppose -5*r + 4*f + 1485 = 0, 4*f = -4*r + 1869 - 681. Solve 84*z**2 + 78*z**2 - 23*z**5 + 162 - 24*z**3 - r*z - 4*z**4 + 24*z**5 = 0.
-6, 1, 3
Let o(z) = -126*z - 2014. Let a be o(-16). Factor 6/5*r + 8/25 + 36/25*r**a + 14/25*r**3.
2*(r + 1)**2*(7*r + 4)/25
Let h(i) be the first derivative of -191 - 96/13*i + 2*i**2 - 2/39*i**3. Factor h(x).
-2*(x - 24)*(x - 2)/13
Let l(v) be the third derivative of v**8/13440 - v**7/672 + v**6/80 - 47*v**5/60 + 63*v**2. Let m(j) be the third derivative of l(j). Factor m(a).
3*(a - 3)*(a - 2)/2
Suppose 11*u + 6 = 10*u. Let q be 3/(((-1)/2)/(2/u)). Suppose 3*t - q*t - 5*t**2 - 10 + 3*t + 11*t = 0. Calculate t.
1, 2
Let z(s) be the second derivative of -1/12*s**5 + 0*s**2 + 3*s + 5/18*s**3 - 1/90*s**6 + 1/36*s**4 - 6. Factor z(p).
-p*(p - 1)*(p + 1)*(p + 5)/3
Let g = 95/138 - 12/23. Let s(x) be the first derivative of g*x**6 - 24 + 0*x - 3/4*x**4 + 0*x**5 + 0*x**2 + 2/3*x**3. Solve s(t) = 0.
-2, 0, 1
Let b(k) be the third derivative of k - 1/60*k**6 - 61*k**2 + 0 - 2*k**3 - 13/12*k**4 - 4/15*k**5. Factor b(v).
-2*(v + 1)**2*(v + 6)
Let w(n) be the first derivative of -10*n**3/9 + 43*n**2/6 - 4*n - 1962. Find u, given that w(u) = 0.
3/10, 4
Let f(p) be the first derivative of 1/4*p**4 - 11/2*p**2 + 4/3*p**3 + 26 + 6*p. What is i in f(i) = 0?
-6, 1
Let v(m) = 2*m**3 - 10*m**2 + 24*m - 53. Let n be v(4). Let l(q) be the first derivative of 4/15*q**5 + 5/3*q**4 - 10/3*q**2 - 4/9*q**3 + 0*q - n. Factor l(z).
4*z*(z - 1)*(z + 1)*(z + 5)/3
Let q be (3 + -3)/(364/(-28)). Let w(k) be the third derivative of 0 - 13/96*k**6 + 24*k**2 + 0*k**3 - 1/8*k**5 + q*k + 0*k**4 + 5/168*k**7. Factor w(s).
5*s**2*(s - 3)*(5*s + 2)/4
Suppose 0 = 12*c - 21*c - 108. Let p be c/(-2) + (8 - -4 - 16). Factor 2/9*x**5 + 2/3*x + 4/3*x**4 + 20/9*x**p + 0 + 8/3*x**3.
2*x*(x + 1)**3*(x + 3)/9
Let t be 6/14 + (-5)/70*62. Let a(i) = -2*i**3 + 28*i**2 + 26*i + 4. Let f(u) = -u**3 + 25*u**2 + 27*u + 3. Let v(p) = t*f(p) + 3*a(p). Factor v(m).
-2*m*(m + 3)*(m + 5)
Suppose 0 = 4*f + 5*y - 13, 39 = y + 38. Let v(z) be the first derivative of 6/5*z + 25 - 9/10*z**f + 1/5*z**3. Suppose v(b) = 0. Calculate b.
1, 2
Let n be (-2)/9 - (-3080)/(-72) - -2. Let o = -38 - n. Factor -6 - 127*x - x**3 - 2*x**o + 136*x.
-3*(x - 1)**2*(x + 2)
Let h = 71064 - 71062. Solve 3/4*q**4 + 11/4*q**3 + 1/4*q - 1/2 + 11/4*q**h = 0 for q.
-2, -1, 1/3
Let a(x) = 2*x**3 - 3*x + 51. Let n be a(-3). Factor 15/8 + 3/8*z**4 - 3*z**3 - n*z + 27/4*z**2.
3*(z - 5)*(z - 1)**3/8
What is l in 202/13*l**3 - 16/13*l - 64/13*l**4 + 0 - 30/13*l**5 - 92/13*l**2 = 0?
-4, -2/15, 0, 1
Solve -10072*s**2 + 10044*s**2 + 4158*s + 2448 - 476*s + 4878*s = 0.
-2/7, 306
Factor -29/2*u - 31 + 1/2*u**2.
(u - 31)*(u + 2)/2
Let r(s) be the second derivative of -s**5/90 - 7*s**4/18 - 13*s**3/9 - 25*s**2 - 119*s. Let m(a) be the first derivative of r(a). Factor m(x).
-2*(x + 1)*(x + 13)/3
Let d = 12333/10 + -1233. Let u(t) be the first derivative of 1/50*t**5 + 0*t + 7 + d*t**3 - 1/5*t**2 - 3/20*t**4. Solve u(h) = 0 for h.
0, 1, 4
Let b(n) be the second derivative of n**7/42 - n**6/5 - 3*n**5/20 + 4*n**4/3 + 2*n**3 - 2731*n + 1. Factor b(z).
z*(z - 6)*(z - 2)*(z + 1)**2
Let w = 2723 + -32675/12. Let x(n) be the second derivative of w*n**4 + 1/20*n**5 + 0*n**2 + 14*n + 1/18*n**3 + 1/90*n**6 + 0. Suppose x(d) = 0. Calculate d.
-1, 0
Let x(u) be the second derivative of u**4/42 - 10*u**3/21 + 3*u**2 - 1560*u. Suppose x(c) = 0. What is c?
3, 7
Let l(r) = -597*r - 302. Let y be l(-4). Let b = 2089 - y. Let 8/13 - 14/13*t + 2/13*t**b + 4/13*t**2 = 0. Calculate t.
-4, 1
Let u(f) be the second derivative of -f**4/3 - 2014*f**3/3 - 2671*f. Determine l, given that u(l) = 0.
-1007, 0
Suppose 3*s + 15 = -6. Let k be (-92)/(-161) - 24/s. Find j such that 0*j**3 - 6*j**k - j**3 + 4*j**4 + 0*j**4 = 0.
-1/2, 0
Factor -2/11*r**3 + 251/11*r**2 + 0 - 125/11*r.
-r*(r - 125)*(2*r - 1)/11
Factor -1/6*m**2 + 7/3 + 5/6*m.
-(m - 7)*(m + 2)/6
Suppose h - 6*h + 4*d = -4, 4*h - 3*d - 4 = 0. Let b = -15 - -26. Factor -b*t + 2*t**5 + 4*t**2 + 21*t - 4 - h*t - 8*t**3.
2*(t - 1)**3*(t + 1)*(t + 2)
Let u(y) be the first derivative of -y**6/6 + 7*y**5/5 - 3*y**4/4 - 23*y**3/3 + 16*y**2 - 12*y + 990. Determine h, given that u(h) = 0.
-2, 1, 6
Let j be (-771 - -770)/(4/(-6)). Factor 7/4 + j*o - 1/4*o**2.
-(o - 7)*(o + 1)/4
Suppose -109*q - 729*q - 646*q + 1887 = -2565. Factor 0*l + 1/4*l**q - 2*l**2 + 0.
l**2*(l - 8)/4
Let h(c) = -4*c**2 - 774*c + 787. Let z(l) = -5*l**2 - 774*l + 791. Let b(g) = -4*h(g) + 3*z(g). Determine j so that b(j) = 0.
-775, 1
Factor -3*b**2 - 116 + 2*b**2 + 2000*b + 2007*b - 3892*b + 2*b**2.
(b - 1)*(b + 116)
Determine h, given that -37*h**2 - 153*h**3 + 9*h**4 - 26*h**4 + 119*h**2 + 74*h**2 + 14*h**4 = 0.
-52, 0, 1
Solve 2279/5*q + 1/5*q**3 - 2809 + 101/5*q**2 = 0 for q.
-53, 5
Let r be 9/(-15) - (-68)/(-7)*357/(-2380). Determine y so that 2/7*y**3 - r*y**2 + 4/7*y + 0 = 0.
0, 1, 2
Let j(l) = -21684*l + 27. Let c be j(0). Suppose 0 + c*k**2 - 3/2*k**5 + 9/2*k**3 - 6*k**4 + 0*k = 0. Calculate k.
-3, 0, 2
Let m be (-2450)/(-4165) - 188/(-374). Let 8/11 + 18/11*d + 2/11*d**3 + m*d**2 = 0. Calculate d.
-4, -1
Let x be ((-3575)/286*20/50)/((-20)/6). What is d in 0 + x*d**5 - 9/2*d**3 + 6*d + 3*d**4 - 6*d**2 = 0?
-2, 0, 1
Let x(f) be the second derivative of f**6/10 - 21*f**5/20 - 737*f + 1. Let x(k) = 0. Calculate k.
0, 7
Let i(r) be the second derivative of -3*r**5/160 + 17*r**4/32 - 31*r**3/16 + 45*r**2/16 + 212*r + 1. Factor i(x).
-3*(x - 15)*(x - 1)**2/8
Let j(r) be the second derivative of r**5/45 - 61*r**4 + 66978*r**3 - 36770922*r**2 + 241*r - 1. What is m in j(m) = 0?
549
Let f be 1/(-5) - 63/(-15). Suppose -3*v - 2 = f*p, -6 = -0*v - 4*v - p. Factor -6*h + 8*h**3 - 179*h**2 + 179*h**2 + v.
2*(h + 1)*(2*h - 1)**2
Let a(x) be the second derivative of x**5/10 + 157*x**4/18 + 352*x**3/9 + 100*x**2/3 + 1801*x. Suppose a(b) = 0. What is b?
-50, -2, -1/3
Suppose 6536 = 29*j + 1577. Factor 15*r**2 - 171 + j + 5*r**3 + 10*r.
5*r*(r + 1)*(r + 2)
Let i be (-273)/(-105) - (-123)/(-55). Let w(x) be the first derivative of 1/22*x**4 - 8/11*x + 2/33*x**3 - i*x**2 - 18. Factor w(t).
2*(t - 2)*(t + 1)*(t + 2)/11
Let j(x) be the first derivative of -x**6/39 + 4*x**5/65 + 71*x**4/26 + 40*x**3/39 - 112*x**2 - 6272*x/13 + 10. Factor j(p).
-2*(p - 7)**2*(p + 4)**3/13
Suppose -4 = m - 4*u + 5*u, -2*m - 2 = -u. Let y be (0 - m)/(36/54). Factor 2/5*c**4 - 4/5*c + 0*c**2 + 4/5*c**y - 2/5.
2*(c - 1)*(c + 1)**3/5
Let a(p) be the third derivative of 0*p**4 + 12*p - 1/15*p**6 + 0*p**3 + 0 - 4/15*p**5 + 2*p**2 - 1/