5/3*k**o + 1600/3*k.
5*(k - 10)**2*(k + 2)**2/3
Let b be (-239)/40 + (8/(-5))/((-320)/1200). Let y(g) be the second derivative of 9/4*g**2 + b*g**5 + 7/24*g**4 + 0 + 5/4*g**3 + 3*g. What is v in y(v) = 0?
-3, -1
Let j be (1 - -1) + 8 + -5. Let -82*f**3 + f**5 - 2 - 60 + 4*f**5 + 27*f**3 + 22 + j*f**4 - 145*f**2 - 130*f = 0. Calculate f.
-2, -1, 4
Let s be (-5)/3 + 135/(-405). Let o be (-88)/(-28) - (90/42 + s). Factor 16*j**o + 33/4*j + 36*j**2 + 1/2.
(j + 2)*(8*j + 1)**2/4
Suppose 14*l - 36 = 34. Find x such that -3*x**2 - 9*x**4 + 42*x**l + 36*x**3 + 33*x**3 - 78*x**4 - 21*x**3 = 0.
0, 1/14, 1
Let p(w) = 12*w + 10. Let y be p(4). Let t = 79 - y. Factor 5*v**2 + 16*v + 10*v - t*v - 10.
5*(v - 1)*(v + 2)
Let o(l) be the first derivative of l**3 - 1215*l**2/2 + 1212*l + 4250. Factor o(r).
3*(r - 404)*(r - 1)
Let a(x) = 198*x - 1978. Let y be a(10). Let c(l) be the second derivative of 0*l**y + 1/40*l**5 - 1/4*l**4 + 0 + 3/4*l**3 - 6*l. Solve c(b) = 0 for b.
0, 3
Suppose -15*m + 12480 = -11*m. Factor 7523*g**4 - 297*g - 10140*g**3 + m*g**2 + 3462*g**4 - 23*g.
5*g*(13*g - 4)**3
Suppose 38*w + 158 + 148 = 496. Let d(s) be the second derivative of 0 + 4/3*s**2 + 1/6*s**4 - 2/3*s**3 - 1/60*s**w - 27*s. Factor d(k).
-(k - 2)**3/3
Let m(o) be the second derivative of o**6/135 - 11*o**5/180 - o**4/12 - 2*o**3/3 - 2*o**2 - 55*o - 2. Let x(f) be the second derivative of m(f). Factor x(n).
2*(n - 3)*(4*n + 1)/3
Let h(f) be the third derivative of 7*f**5/60 + 13*f**4/24 + f**3/2 - 11*f**2 + 6. Let g(z) = 20*z**2 + 38*z + 10. Let r(o) = 5*g(o) - 14*h(o). Factor r(p).
2*(p + 2)**2
Suppose -140*d = -138*d + 2*z - 12, -2*d = -5*z + 9. Let v(l) be the first derivative of 0*l + 5/6*l**d - 5/2*l**2 + 6. Let v(o) = 0. What is o?
0, 2
Suppose 3 = -9*y + 21. Determine b so that 16*b**4 + 25*b**3 - 144*b - 56*b**y - 22 + 20*b**3 - 9*b**3 - 10 = 0.
-2, -1/4, 2
Let g = -31771/240 - -662/5. Let s(q) be the third derivative of 0*q**3 - 1/60*q**5 + 0 + 0*q + g*q**4 - 4*q**2. Determine t, given that s(t) = 0.
0, 1/2
Let u(q) be the second derivative of -1/2*q**3 + 11*q - 1/24*q**4 + 7/4*q**2 + 0. Factor u(d).
-(d - 1)*(d + 7)/2
Let b(t) be the first derivative of 0*t + 1/12*t**3 - 1/4*t**2 + 46. Let b(s) = 0. What is s?
0, 2
Let a be 146/8 - 17/(15 + 53). Let k be 4/a*(-6)/24*-6. Factor 0 + 7/3*p - k*p**3 - 2*p**2.
-p*(p - 1)*(p + 7)/3
Suppose -92 = -14*x - 9*x. Find y, given that -y**4 + 21*y - x*y**3 - 5*y - 3*y**4 - 8*y**3 = 0.
-2, 0, 1
Let r(c) be the third derivative of 0 + 0*c + 1/2*c**4 + 1/20*c**5 + 3/2*c**3 + 2*c**2. Let s(w) = -w**2 - 4*w - 3. Let p(x) = 6*r(x) + 17*s(x). Solve p(h) = 0.
-3, -1
Suppose 5*r - 3*w + 27 = 0, 36 = 22*r + 13*w - 9*w. Factor 0*l + r - 28/9*l**3 + 8/9*l**2.
-4*l**2*(7*l - 2)/9
Solve -24 - 83/3*i**2 + 6*i**3 + 46*i - 1/3*i**4 = 0 for i.
1, 2, 3, 12
Let y(k) be the second derivative of 5*k + 1/6*k**3 + 6 - 5/12*k**4 + 1/5*k**5 + 0*k**2. Factor y(z).
z*(z - 1)*(4*z - 1)
Let n(t) be the second derivative of t**4/6 + 136*t**3 + 407*t**2 - 4325*t. Determine i, given that n(i) = 0.
-407, -1
Let f = -103 - -113. Let o be f/20 + 98/4. Factor -8 + r**2 + o - 9 + 5*r - 14.
(r - 1)*(r + 6)
Let w = -7082 - -254965/36. Let h(p) be the second derivative of 8/3*p**3 - w*p**4 + 27*p + 1/60*p**5 - 6*p**2 + 0. Factor h(b).
(b - 6)**2*(b - 1)/3
Solve -62*z - 420 - 18253*z**3 + 18257*z**3 - 28*z**2 - 390*z = 0.
-7, -1, 15
Let y(h) be the third derivative of 0 - 71/30*h**5 + 10*h**3 + 0*h + 49/12*h**4 - 13/60*h**6 + 1/21*h**7 + 50*h**2. Solve y(g) = 0.
-3, -2/5, 1, 5
Let o(n) be the third derivative of 13*n**5/450 + 19*n**4/36 + n**2 - 65*n - 2. Factor o(z).
2*z*(13*z + 95)/15
Let q be (-14)/(-60)*106/371. Let p(t) be the third derivative of 14*t**2 - 2/3*t**3 + 0*t**4 + q*t**5 + 0*t + 0. Factor p(z).
4*(z - 1)*(z + 1)
Let d(a) be the first derivative of -28*a**5/5 + 4965*a**4 + 14201*a**3/3 - 354*a**2 - 1420*a + 5240. Determine p, given that d(p) = 0.
-1/2, 2/7, 710
Let v(n) be the second derivative of -3*n**4 - 4*n**3 - 9/10*n**5 + 0*n**2 - 1/10*n**6 + 2*n - 3. Find d, given that v(d) = 0.
-2, 0
Factor -1792/9*l - 401408/9 - 2/9*l**2.
-2*(l + 448)**2/9
Let k(m) be the first derivative of -m**3/24 + 111*m**2/16 + 1481. Factor k(q).
-q*(q - 111)/8
Let p = 2165 - 2160. Let u(h) be the first derivative of 0*h**4 + 0*h - 2/35*h**p + 2/21*h**3 + 1/14*h**2 + 15 - 1/42*h**6. Factor u(b).
-b*(b - 1)*(b + 1)**3/7
Let z(p) be the first derivative of -8/27*p**3 - 8/9*p**2 + 0*p + 1/27*p**6 + 1/3*p**4 + 2/9*p**5 + 42. Factor z(o).
2*o*(o - 1)*(o + 2)**3/9
Let o(p) be the second derivative of -95*p**7/84 - 29*p**6/6 + 2*p**5 + 145*p**4/12 + 5*p**3/4 - 5166*p. Suppose o(c) = 0. Calculate c.
-3, -1, -1/19, 0, 1
Let t(y) be the second derivative of -y**5/15 + 3*y**4 + 254*y**3/3 - 814*y**2/3 - 8187*y. Determine g so that t(g) = 0.
-11, 1, 37
Let h = -1 + 13. Let z be h/(-24)*(-36 + 0)/1. Find r such that 8 - 6*r**3 + 15*r**2 - z - 4*r**3 + 40*r + 25 = 0.
-1, -1/2, 3
Let w(m) be the second derivative of 5/4*m**5 - 80*m**2 + 5/6*m**4 - 4*m - 200/3*m**3 + 26. Factor w(z).
5*(z - 4)*(z + 4)*(5*z + 2)
Let z(h) = -h**2 + 118*h - 232. Let i be z(2). Let m = 85 + -253/3. Suppose i - 4/3*g**2 - m*g**3 - 2/3*g = 0. What is g?
-1, 0
Let r = 13 - 10. Suppose -w + 2 - 1 = h, 4*h = -r*w + 2. Factor d + 4*d**2 + w*d**2 - 2*d**3 - 5*d.
-2*d*(d - 2)*(d - 1)
Let q be ((-6)/6)/(5/(-45)). Suppose 0*n**4 + n - 6*n**3 - q - 16*n**4 + 28*n**2 + 3*n**5 + 2*n**5 - 3 = 0. Calculate n.
-1, -4/5, 1, 3
Let t be -25 + -8*(-2079)/648. Factor 5/6 - 1/6*d**2 + t*d.
-(d - 5)*(d + 1)/6
Let y(z) be the third derivative of z**5/30 - 29*z**4/12 - 62*z**3/3 - 1632*z**2. Find s, given that y(s) = 0.
-2, 31
Let i be (8 - (-279)/(-30)) + 11*39/286. Suppose -3/5*q**3 - 4/5*q**2 + 0 + i*q**4 + 0*q = 0. What is q?
-1, 0, 4
Let d(y) = 16*y**2 + 172*y - 8. Let z(a) = -19*a**2 - 172*a + 10. Let c(v) = 5*d(v) + 4*z(v). Solve c(s) = 0.
-43, 0
Let p = 5543 - 8065. Let y = 2525 + p. Suppose 5*m**y + 23/4*m**4 + 5/4*m**5 - 8*m - 8*m**2 + 4 = 0. What is m?
-2, 2/5, 1
Suppose -31*w - 24*w - 109*w - 165*w + 1316 = 0. Suppose 9*q**3 - 9*q + 0 + 3/2*q**w - 3/2*q**2 = 0. What is q?
-6, -1, 0, 1
Let o(l) be the third derivative of 0*l - 7/450*l**5 - 1/315*l**7 - 1/2520*l**8 + 0*l**3 + 0 - 94*l**2 - 1/100*l**6 - 1/90*l**4. Factor o(r).
-2*r*(r + 1)**3*(r + 2)/15
Let y(n) be the second derivative of n**4/3 - 466*n**3/3 + 464*n**2 + n + 2724. Let y(r) = 0. What is r?
1, 232
Factor -68*j**2 + 17153*j + 19 + 8*j**3 - 17093*j - 19.
4*j*(j - 1)*(2*j - 15)
Suppose 3*m - 14 + 21 = 4*z, -z = -4. Let g(h) be the first derivative of -2/5*h**2 - 2/45*h**m - 2/3*h + 13. Determine o so that g(o) = 0.
-5, -1
Let y = 5009 - 5009. Factor y*j**2 + 4/3*j**5 + 0 + 0*j**4 - 4/3*j**3 + 0*j.
4*j**3*(j - 1)*(j + 1)/3
Let l(c) be the second derivative of -c**6/15 - 4*c**5/5 - 5*c**4/6 + 14*c**3/3 - 34*c - 9. Factor l(u).
-2*u*(u - 1)*(u + 2)*(u + 7)
Let a(y) be the third derivative of y**5/80 + 67*y**4/64 + 33*y**3/16 + 1294*y**2. Factor a(f).
3*(f + 33)*(2*f + 1)/8
Let z(x) be the second derivative of x**5/4 - 205*x**4/3 + 815*x**3/6 - 38*x - 6. Factor z(w).
5*w*(w - 163)*(w - 1)
Find q such that 0 - 39/4*q**3 - 3/4*q**4 + 48*q + 39*q**2 = 0.
-16, -1, 0, 4
Let z(w) be the third derivative of w**8/840 + 73*w**7/525 + 479*w**6/150 - 6937*w**5/75 + 5453*w**4/12 + 8405*w**3/3 + 571*w**2. Suppose z(r) = 0. What is r?
-41, -1, 5
Suppose -1140*z + 129 = -1137*z. Let -5299 - 4*i**2 - 14908 + z - 568*i = 0. Calculate i.
-71
Let u be 6/(-18) - (-4)/24*1934. Let l = u + -320. Factor 2/3*j**4 + 0*j**l + 0*j - 1/3*j**5 - 1/3*j**3 + 0.
-j**3*(j - 1)**2/3
Find v such that -129*v**3 + 222*v**2 - 450*v + 2*v**4 + 0*v**4 + 72*v - 93*v**3 + 184*v**3 = 0.
0, 3, 7, 9
Let y(o) be the second derivative of o + 1/24*o**6 + 0*o**2 + 1 - 1/24*o**3 - 5/48*o**4 + 1/80*o**5. Solve y(f) = 0.
-1, -1/5, 0, 1
Factor -6*i**2 + 1/4*i**4 + 29*i - 15/4*i**3 + 48.
(i - 16)*(i - 3)*(i + 2)**2/4
Let j(f) be the second derivative of -400*f**2 - 166*f + 40/3*f**3 - 1/6*f**4 + 0. Factor j(h).
-2*(h - 20)**2
Suppose 12*v - 7*v - 20 = n, n = -3*v + 12. Factor -4*m**2 + 164*m**4 - 6*m - 2*m**5 + 4 + 8*m**3 - 164*m**v.
-2*(m - 1)**3*(m + 1)*(m + 2)
Let r(m) be the first derivative of -m**5/10 - 221