0 for l.
-1
Let j(x) be the third derivative of -39/25*x**5 - 91*x**2 + 29/15*x**4 + 0 + 0*x + 0*x**3 - 2/525*x**7 + 2/5*x**6. Find z such that j(z) = 0.
0, 1, 58
Let u(l) be the second derivative of -l**5/20 + l**4/6 + 2*l**3/3 - 4*l**2 - 1058*l. Factor u(w).
-(w - 2)**2*(w + 2)
Let b be (-60 - -67 - 9)*-1. Factor 2/3*k**3 + 38/3*k + 16/3*k**b + 8.
2*(k + 1)*(k + 3)*(k + 4)/3
Let l = -194 - -415. Let u = l - 219. Find i, given that -6/11*i**u + 2/11*i**3 + 4/11*i + 0 = 0.
0, 1, 2
Let a be (-1)/((-124)/(-18) + -7). Factor -2*p**4 - 27*p**2 - 4*p - 2*p - 10 - a*p**2 - 16*p**3 - 26*p.
-2*(p + 1)**3*(p + 5)
Let x(o) be the first derivative of o**5/15 - 3*o**4/2 - 7*o**3/3 + 19*o**2/3 - 2271. Find a, given that x(a) = 0.
-2, 0, 1, 19
Suppose 0 = 7*c - 30 + 2. Factor -75*s + 2*s**2 - 23*s**2 + c*s**2 - 43*s**2 + 5*s**3 + 69 + 61.
5*(s - 13)*(s - 1)*(s + 2)
Let g = -17 - -17. Let j be -3*(0 + g + (-11 - -7)). Determine l so that -4*l**2 + l**4 + 7*l**5 + 3*l**4 - 7*l - 11*l**5 - l + j*l**3 = 0.
-1, 0, 1, 2
Let t be 6*55/(-10)*-12. Suppose 3*m + 2*m = -3*i + 6, -3*i + 2*m = -6. Factor -t*p**3 - 162*p**4 - 88*p - 99*p**i - 215*p**2 - 11 + 3.
-2*(p + 1)**2*(9*p + 2)**2
Let d = 352972/7 - 50388. Let 1/7*r**2 + d - 32/7*r = 0. Calculate r.
16
Let p = -1387433/3 - -462479. Determine j so that -11/3*j - p*j**2 + 1/3*j**3 - 2 = 0.
-1, 6
Let n be (-986)/858 + (-74)/481. Let t = n + 1141/825. Solve 4/25*x**3 - t*x**4 + 22/25*x**2 - 72/25 - 24/25*x = 0 for x.
-2, 3
Let a be (((-18)/(-15))/((-12)/(-90)))/3. Factor 2*s**a - 247*s**2 - 12*s + 131*s**2 + 126*s**2.
2*s*(s - 1)*(s + 6)
Suppose 4*k = -4*w + 4, -5*w = -2*w - 3*k - 15. Let -34*v**2 + 111*v**2 - 64*v**w + 576*v + 95*v**2 + 4*v**4 + 12*v**2 + 324 = 0. Calculate v.
-1, 9
Suppose 5*z = m + 321, 2*z + 1740 = -10*m + 5*m. Let l = m + 4500/13. Factor l*i + 0 - 2/13*i**2.
-2*i*(i - 1)/13
Let r(y) be the second derivative of 13*y**4/12 - 112*y**3/3 - 90*y**2 - 4284*y. Factor r(x).
(x - 18)*(13*x + 10)
Let p(u) be the first derivative of -u**4/5 + 868*u**3/15 + 898*u**2 + 4540*u + 137. Factor p(l).
-4*(l - 227)*(l + 5)**2/5
Suppose 131580 + 131554 = -68*o + 263270. Factor -2/9*r**2 + 0 + o*r.
-2*r*(r - 9)/9
Let d(m) = 5*m**3 - 233*m**2 - 890*m + 1166. Let j(x) = -10*x**3 + 473*x**2 + 1780*x - 2331. Let i(l) = 11*d(l) + 6*j(l). Factor i(s).
-5*(s - 58)*(s - 1)*(s + 4)
Let i(q) be the third derivative of q**6/132 + 241*q**5/165 + 659*q**4/132 - 190*q**3/11 + 7297*q**2. What is y in i(y) = 0?
-95, -2, 3/5
Let w(x) be the second derivative of -1/63*x**7 + 5/18*x**4 + 0*x**2 + 1/10*x**5 - 48*x + 2/9*x**3 - 1/45*x**6 + 0. Find q such that w(q) = 0.
-1, 0, 2
Let a(n) = n**2 + n + 1. Let z(g) = -5*g**2 - 18*g - 12. Let s(k) = 4*a(k) + z(k). Let m be s(-13). Factor -82*w**m - 75*w**5 + 156*w**5 + 2*w**3 - w**4.
-w**3*(w - 1)*(w + 2)
Let j(d) be the second derivative of -d**5/12 + 15*d**4/8 + 25*d**3/3 - 55*d**2/2 - 32*d - 2. Let x(b) be the first derivative of j(b). What is k in x(k) = 0?
-1, 10
Let j(t) be the first derivative of 0*t - 57/14*t**4 + 88 + 300/7*t**2 + 160/7*t**3 + 6/35*t**5. Factor j(p).
6*p*(p - 10)**2*(p + 1)/7
Let v(z) = -z**2 + 55*z - 147. Let y be v(3). Let u be 2 + 7 + 3 - y. Determine x, given that 10/13*x**u + 2/13*x + 0 - 8/13*x**2 - 4/13*x**4 = 0.
0, 1/2, 1
Suppose -20*z = -9949 + 28249. Let q = z + 4577/5. Factor 2/5*y**2 - 4/5 + q*y.
2*(y - 1)*(y + 2)/5
Factor 40/3*g**3 + 25/3*g**4 + 5/3*g**5 + 0*g + 0 + 20/3*g**2.
5*g**2*(g + 1)*(g + 2)**2/3
Let j = -73907/119 - -10563/17. Factor -2/7*q**3 + 0 - 16/7*q - 20/7*q**2 + j*q**4.
2*q*(q - 4)*(q + 1)*(q + 2)/7
Let h = 1021 - 995. Let d be (h + -12)*(-8)/(-28). Factor 12*n**3 + 3/2*n**5 + 0 - 15/2*n**d + 0*n - 6*n**2.
3*n**2*(n - 2)**2*(n - 1)/2
Let q(s) be the first derivative of 25*s**6/2 + 27*s**5 + 18*s**4 + 4*s**3 - 5888. Find z such that q(z) = 0.
-1, -2/5, 0
Factor 28/3*x + x**4 - 10/3*x**2 - 7/3*x**3 - 8/3.
(x - 2)**2*(x + 2)*(3*x - 1)/3
Let w be (-18)/(-10) + ((-16)/(-40))/2. Solve 23*u**2 - w*u**2 + 15*u + 11 - 214*u**3 - u**2 + 209*u**3 - 101 = 0 for u.
-2, 3
Suppose -32*i = -1375 - 385. Factor 22*g - 52*g + 3*g**3 - 60*g - 16*g**2 + i*g**2.
3*g*(g - 2)*(g + 15)
Solve 978/7*j + 340/7*j**2 + 2*j**3 + 36 = 0.
-21, -3, -2/7
Let l be (-2)/(35/(-14) - -2). Let v(m) be the first derivative of 2/45*m**3 + 2/5*m + 3 - 1/3*m**2 + 1/30*m**l. Find x such that v(x) = 0.
-3, 1
Suppose 5*q + 15 = 2*o, -3*q - 3 = -2*q + o. Let a be (q - -2) + 5 - (-1)/(-1). Factor 6 + 221*n**2 + 0*n - 3*n - 233*n**2 + 9*n**a.
3*(n - 1)**2*(3*n + 2)
Let c be 5/(-20) + (-5274)/(-8) + 1. Let d be (-204)/c + (-42)/(-30). Solve 12/11*p + 2/11*p**4 - 10/11 - d*p**3 + 8/11*p**2 = 0 for p.
-1, 1, 5
Let l be (-4)/(-2) - 24/13. Let z be 1*(6 + (-7 - -9)) - (-19 - (-2058)/78). Factor -6/13 - l*n + z*n**2.
2*(n - 1)*(4*n + 3)/13
Factor 2 - 13/9*s**3 - 53/9*s + 16/3*s**2.
-(s - 2)*(s - 1)*(13*s - 9)/9
Let w(k) = -2*k**3 - 1860*k**2 - 36*k + 18. Let c(i) = i**3 + 744*i**2 + 14*i - 7. Let n(l) = -18*c(l) - 7*w(l). What is o in n(o) = 0?
-93, 0
Suppose 718 + 208 = n. Suppose 5*t = -n + 941. Factor 2/3 - 5*w + 40/3*w**2 - 7/3*w**5 + 10*w**4 - 50/3*w**t.
-(w - 1)**4*(7*w - 2)/3
Let x(l) be the second derivative of -2*l - 1/78*l**4 - 3/13*l**2 - 1/130*l**5 - 5 + 5/39*l**3. Factor x(m).
-2*(m - 1)**2*(m + 3)/13
Let -228/5 + 34/3*o - 14/15*o**3 + 176/5*o**2 = 0. Calculate o.
-9/7, 1, 38
Let z(h) be the second derivative of 0*h**3 - 87*h + 1/75*h**6 + 0 + 0*h**2 - 1/30*h**4 + 0*h**5. Solve z(s) = 0 for s.
-1, 0, 1
Let a = 188851/6 - 31475. Let b(n) be the third derivative of 0*n**3 - 1/60*n**5 - a*n**4 + 0*n + 0 + 9*n**2. What is j in b(j) = 0?
-4, 0
Solve 4*y**4 - 1/5*y**5 - 78/5*y**3 + 36/5*y**2 + 0 + 27*y = 0 for y.
-1, 0, 3, 15
Let k(i) be the first derivative of 5/2*i**3 + 0*i - 24 - 9/4*i**4 - 27/10*i**5 + 3/2*i**2. Let k(d) = 0. Calculate d.
-1, -1/3, 0, 2/3
Let u(d) be the first derivative of -10/9*d**2 - 2/45*d**5 - 4/9*d**4 + 14 + 0*d - 34/27*d**3. What is n in u(n) = 0?
-5, -2, -1, 0
Let g(m) = -216*m - 21. Let r be g(-10). Determine c, given that 1069 - r + 6*c + 1074 - 2*c**3 = 0.
-1, 2
Let k = -70 + 70. Suppose 0*o + o - 2 = k. Factor 3*g**o - 7/2*g + 1/2.
(g - 1)*(6*g - 1)/2
Suppose -1770*z + 748 + 6332 = 0. Factor 109/4*h**2 + 9 + 3/4*h**z - 31/4*h**3 - 141/4*h.
(h - 4)*(h - 3)**2*(3*h - 1)/4
Let h(t) = -t**4 + t**3 - t**2 + t. Let i(r) = 4*r**4 - 2*r**2 - 2*r. Suppose 0 = -v, 3*v - 6 = 5*j + 19. Let k(s) = j*h(s) - i(s). Factor k(d).
d*(d - 3)*(d - 1)**2
Let i be (-102)/(-30) - (-6)/10. Let u be 16/4 + i/(-2). Find g, given that -969*g**3 + 12*g**2 + u - 14 + 965*g**3 + 4*g = 0.
-1, 1, 3
Factor 450*p**3 + 5/6*p**4 - 29648705/2 + 14087230/3*p + 80545*p**2.
5*(p - 3)*(p + 181)**3/6
Let t(u) = u**3 + 10*u**2 + 7*u - 3. Let o be t(-9). Let r be (4/7)/(o/105). Factor 20*v**2 - 2*v - 15 + 10*v - 10*v**3 + 2*v - 4*v**r - v**4.
-5*(v - 1)**2*(v + 1)*(v + 3)
Let b(u) be the first derivative of -15/2*u**6 - 5*u**3 + 0*u - 32 - 105/4*u**4 - 25*u**5 + 5*u**2. Suppose b(t) = 0. Calculate t.
-1, 0, 2/9
Solve -1108/11*u**3 + 234/11 + 1098/11*u + 362/11*u**4 - 596/11*u**2 + 10/11*u**5 = 0 for u.
-39, -1, -1/5, 1, 3
Let t(s) be the second derivative of s**5/10 + 18*s**4 - 385*s**3 + 2950*s**2 - 3*s - 3. Factor t(j).
2*(j - 5)**2*(j + 118)
Let x(n) be the first derivative of 1/7*n**6 + 24/7*n - 54 - 19/14*n**4 - 8*n**2 + 134/21*n**3 - 2/5*n**5. Solve x(r) = 0.
-3, 1/3, 1, 2
Let i = -3671273/2 - -1835642. Determine u so that -2/3*u**3 - i*u**2 - 8/3 - 12*u = 0.
-4, -1/4
Suppose 0 = -2*v - 3*q - 200, -2*v - 184 = -2*q - 3*q. Let i = v - -99. Determine y so that 4*y**i - 12*y**3 + 2912 + 12*y**4 - 2912 - 4*y**5 = 0.
0, 1
Suppose -5049*a + 5044*a = -35, -2*u + 5*a = 31. Factor 2 + 6*y + 9/2*y**3 - 25/2*y**u.
(y - 2)*(y - 1)*(9*y + 2)/2
Let g(b) = 3*b**4 + 25*b**3 - 26*b**2 - 100*b + 116. Let r(p) = 7*p**4 + 75*p**3 - 74*p**2 - 300*p + 349. Let a(z) = -11*g(z) + 4*r(z). Factor a(x).
-5*(x - 3)*(x - 2)**2*(x + 2)
Factor 1/3*d**2 - 25*d + 704/3.
(d - 64)*(d - 11)/3
Let g(x) be the second derivative of x**7/504 - 5*x**6/144 + 47*x**4/2 + 268*x. Let w(p) be the third derivative of g(p). Suppose w(y) = 0. What is y?
0, 5
Let o be (-67)/(-22) - 17/374. Let z(d) be the third derivative of 0 + 2/3*d**