 78*l**3 + 17*l**3 + 150 + 295*l.
-5*(l - 30)*(l + 1)**2
Let q(f) be the second derivative of -2*f - 52 - 10/3*f**3 - 2*f**2 - 3/4*f**4. Factor q(c).
-(c + 2)*(9*c + 2)
Let w(l) be the first derivative of 0*l**2 - 1/4*l**4 + 0*l**3 + 16 - 16*l. Let t(y) be the first derivative of w(y). Suppose t(s) = 0. Calculate s.
0
Factor 0 - 1/4*v**3 + 17/2*v**2 - 273/4*v.
-v*(v - 21)*(v - 13)/4
Let a(y) = -y**3 - 18*y**2 - 24*y - 121. Let z be a(-17). Let p be z/16 + (-2365)/(-4840) + 0. Factor -2/11*o + p*o**2 + 0 - 4/11*o**4 + 2/11*o**5 + 0*o**3.
2*o*(o - 1)**3*(o + 1)/11
Let o(x) be the second derivative of 4*x**4/9 - x**3/9 - 3*x**2 - 1977*x. What is n in o(n) = 0?
-1, 9/8
Let b(o) be the third derivative of -5*o**8/336 - 47*o**7/21 - 383*o**6/3 - 3180*o**5 - 24750*o**4 - 90000*o**3 + 3697*o**2. Factor b(i).
-5*(i + 2)**2*(i + 30)**3
Let w = 526 - 490. Solve w*k**2 - 26*k + 23*k - 6*k**3 - 9*k**4 + 27*k = 0.
-2, -2/3, 0, 2
Let u(q) be the third derivative of -q**5/270 + 127*q**4/54 + 512*q**3/27 - 2102*q**2. Factor u(m).
-2*(m - 256)*(m + 2)/9
Let p be 15*(-5)/(-250)*-4848. Let a = 1455 + p. Determine l so that -24/5 + 3*l**2 + a*l**3 + 6/5*l = 0.
-4, -2, 1
Suppose 14 = -d - 2*v - 8, -71 = 2*d - 5*v. Let r = d + 30. Factor -29*k**r + 5*k**4 - 20*k**2 + 34*k**2 + 10*k.
5*k*(k - 1)**2*(k + 2)
Let w(n) be the second derivative of 2*n**6/15 - 2*n**5/5 - 4*n**4/3 + 16*n**3/3 + 867*n. Solve w(j) = 0.
-2, 0, 2
Suppose 2*q = q + 20. Let l = -18 + q. Solve -5*y**2 - 4*y**4 + l*y**3 - 7*y**2 + 16*y**2 - 2*y = 0 for y.
-1, 0, 1/2, 1
Let q be (-16)/(-48) + 6*(-2 + 39/18). Find c such that 0 + 40/3*c**2 + q*c**3 + 32/3*c - 4/3*c**4 = 0.
-2, -1, 0, 4
Let l(f) = f**3 + 37*f**2 + 34*f - 53. Let s be l(-36). Suppose 246*a - 2*p = 245*a - 8, -2*a + s = 3*p. Factor 2 + a*q**3 - 3/2*q**2 - 1/2*q**4 - 2*q.
-(q - 2)**2*(q - 1)*(q + 1)/2
Let o(u) be the second derivative of 0*u**3 + 0 - 1/4*u**5 - 1/6*u**6 + 0*u**2 + 5/12*u**4 + 5/42*u**7 - 64*u. Factor o(z).
5*z**2*(z - 1)**2*(z + 1)
Let j(s) = s**2 - 4*s - 3. Let q = -57 - -60. Let u(n) = -n**2 + 6*n + 4. Let h(a) = q*u(a) + 4*j(a). Suppose h(f) = 0. What is f?
-2, 0
Let m(d) be the third derivative of -d**5/30 + 4*d**4/9 - 16*d**3/9 - 1284*d**2. Determine c, given that m(c) = 0.
4/3, 4
Factor 8*p**2 - 3*p**2 - 30478*p - 30447*p + 60750*p.
5*p*(p - 35)
Let b = -53 - -172. Factor 3*c**5 + 15*c**2 - 3*c**4 + b*c + 117*c - 9*c**3 - 242*c.
3*c*(c - 1)**3*(c + 2)
Suppose -13 - 67 = -4*v. Let x = -663 - -689. Suppose v - x*u - 49*u - 21*u**2 + 0 + u**2 = 0. Calculate u.
-4, 1/4
Let s(z) = -4*z**3 - 998*z**2 + 122993*z + 3. Let r(c) = -10*c**3 - 2992*c**2 + 368984*c + 8. Let i(d) = -3*r(d) + 8*s(d). Find o such that i(o) = 0.
0, 248
Let v be 2/20 - 4023/(-270). Factor -5*b**3 - 4*b**3 + b + v*b**2 - 11*b + 4*b**3.
-5*b*(b - 2)*(b - 1)
Let v(h) be the first derivative of 0*h**2 + 45 + 0*h + 1/22*h**4 + 2/33*h**3. Determine b so that v(b) = 0.
-1, 0
Let z be 46/6 + (3 - 8/3). Suppose z - 17 = -3*x. Determine c so that -x*c**4 - 8*c**5 + 6*c**5 + 3*c**5 + 4*c**2 = 0.
-1, 0, 2
Let i(q) be the second derivative of -5*q**7/42 - 29*q**6/6 - 149*q**5/2 - 1035*q**4/2 - 2835*q**3/2 - 3645*q**2/2 + 2139*q + 1. Solve i(h) = 0.
-9, -1
Let h be ((-15)/12)/((-16)/(-1408)). Let o be (392/h)/(68/(-170)). Solve 0*t + 48/11*t**3 - 8/11*t**2 - 42/11*t**4 + 0 - o*t**5 = 0 for t.
-1, 0, 2/7
Let o(q) be the first derivative of -q**4/22 + 12*q**3/11 - 17*q**2/11 - 5737. Factor o(z).
-2*z*(z - 17)*(z - 1)/11
Factor 88/9*i**2 - 14/9*i**3 + 0*i - 2/9*i**4 + 0.
-2*i**2*(i - 4)*(i + 11)/9
Let y = -34 - -39. Suppose 5*g = 2*g + 2*n + 2, 4*g + 2 = y*n. Let 49*o + 82 + 13*o**g + 7*o + 114 - 9*o**2 = 0. What is o?
-7
Let q(g) = -g**2 + 12*g - 41. Let m be q(6). Let y(z) = -7*z**2 + 40*z + 4. Let u(v) = 8*v**2 - 41*v - 5. Let n(t) = m*y(t) - 4*u(t). Find h such that n(h) = 0.
0, 12
Let k(i) be the second derivative of i**5/90 - 139*i**4/54 - 424*i**3/27 - 284*i**2/9 - 5*i - 108. Factor k(j).
2*(j - 142)*(j + 1)*(j + 2)/9
Suppose -358*q + 365*q - 5621 = 0. Let n = q - 799. Factor 32/5*t**5 + 0*t - 2/5*t**3 + 0 + 0*t**n + 0*t**2.
2*t**3*(4*t - 1)*(4*t + 1)/5
Let x be (-85)/(-30) + 2/12. Determine m so that 9 - 19 - 15 + 44*m**2 - 5*m + 5*m**x - 19*m**2 = 0.
-5, -1, 1
Let n(l) be the second derivative of 1/252*l**7 - 48*l + 1/18*l**4 + 1/15*l**5 + 2 + 0*l**3 + 1/36*l**6 + 0*l**2. Find h, given that n(h) = 0.
-2, -1, 0
Let z be 5*(-12)/120*(-1)/(15/12). Let j(u) be the second derivative of z*u**3 - 1/30*u**4 + 1/5*u**2 + 0 + 18*u - 3/25*u**5. Factor j(n).
-2*(n - 1)*(n + 1)*(6*n + 1)/5
Let o(p) be the second derivative of -3/110*p**5 - 22 + 0*p**2 - 1/33*p**4 + 1/33*p**3 + 2*p. Let o(n) = 0. Calculate n.
-1, 0, 1/3
Let j(c) be the third derivative of 1/60*c**5 - 43*c**2 + 0 + 5/24*c**4 + 0*c - 7/3*c**3. Factor j(d).
(d - 2)*(d + 7)
Let z(c) be the third derivative of -c**8/1260 + c**7/630 + c**6/270 - c**5/90 + 35*c**3/6 + 27*c**2. Let q(y) be the first derivative of z(y). Factor q(t).
-4*t*(t - 1)**2*(t + 1)/3
Let x(c) = -14*c + 114. Let v be x(8). Let i be (-3 - v) + (-297)/(-54). Solve -l**2 + 3*l**3 + i*l**4 - 3/2*l**5 + 1/2 - 3/2*l = 0.
-1, 1/3, 1
Let -464 - 118*y**2 + 1/2*y**3 + 466*y = 0. Calculate y.
2, 232
Let y = -3191 - -3193. Let l(w) be the third derivative of 0*w - 1/45*w**6 + 12*w**y + 7/45*w**5 - 25/144*w**4 + 0 + 1/12*w**3. Factor l(t).
-(t - 3)*(4*t - 1)**2/6
Let b(w) = -w - 6 - 15 + 28. Let u be b(5). What is i in 8*i**u + 12 + 6*i - 14 - 2*i**3 - 34 = 0?
-2, 3
Let k(t) be the second derivative of t**4/18 + 8*t**3/9 + 5*t**2 + 2781*t. Factor k(j).
2*(j + 3)*(j + 5)/3
Let g(a) be the second derivative of 150*a + 1014/7*a**2 + 0 - 3/140*a**5 - 312/7*a**3 - 51/28*a**4. Factor g(z).
-3*(z - 1)*(z + 26)**2/7
Let t(u) = 15*u**3 + 405*u**2 - 910*u - 390. Let n(s) = -s**3 - 29*s**2 + 65*s + 29. Let h(d) = -55*n(d) - 4*t(d). Suppose h(a) = 0. Calculate a.
-7, 1
Suppose 23 = 6*g - 283. Suppose -3*h - 5*d + 49 = -h, -g = -3*h - 3*d. Solve -7*p**3 + 16*p - h*p - 2 + 6*p**2 - p**3 + 0*p**3 - 8*p**4 = 0.
-1, 1/2
Let g(u) be the second derivative of 8*u**4/51 + 88*u**3/51 + 121*u**2/17 - 4*u - 9. Find s, given that g(s) = 0.
-11/4
Suppose 0 = 3*m + 3, -m = 3*j + 7 - 0. Let n(r) = r**2. Let h be n(j). Let -64*c**2 - 2 + 2*c**4 + h*c**3 - 4*c + 64*c**2 + 0*c = 0. What is c?
-1, 1
Let g(w) be the first derivative of 2*w**5/35 - 107*w**4 + 1119002*w**3/21 + 160500*w**2 + 1125000*w/7 + 3437. Find p such that g(p) = 0.
-1, 750
Factor 2/3*o**3 - 22*o + 10*o**2 + 34/3.
2*(o - 1)**2*(o + 17)/3
Let o = -155 - -160. Factor 3*d**3 + 3 + d - 11 + 4*d + 3 + o*d**2 - 8*d**3.
-5*(d - 1)**2*(d + 1)
Let v = -489112/3 + 163038. Solve 6*z**2 + 0 + 10/3*z - v*z**3 - 6*z**4 - 8/3*z**5 = 0.
-5/4, -1, 0, 1
Let r(p) = -p**2 + 18923*p + 2. Let v be r(0). Find l such that -8/15*l**v - 2/15 - 2/3*l = 0.
-1, -1/4
Let g(m) be the second derivative of -m**5/60 + m**4/12 + m**3/2 + 17*m**2/2 + 126*m. Let t(q) be the first derivative of g(q). Find f, given that t(f) = 0.
-1, 3
Determine c, given that 24*c**2 - 284/7*c**3 + 604/7*c + 16/7*c**4 + 136/7 = 0.
-1, -1/4, 2, 17
Factor 68*w**2 - 5 - 4*w**3 - 40335*w + 4 + 40215*w + 1.
-4*w*(w - 15)*(w - 2)
Determine v so that -863 - 821 - 33*v - v**2 - 815 + 2409 = 0.
-30, -3
Factor -1/3*g**2 - 20 + 23/3*g.
-(g - 20)*(g - 3)/3
Let l(y) be the first derivative of y**6/18 + 3*y**5/5 + 19*y**4/12 - 7*y**3/3 - 46*y**2/3 - 20*y - 633. Find q such that l(q) = 0.
-5, -3, -2, -1, 2
Factor 314/5*s**2 - 208/5*s + 0 - 3/5*s**3.
-s*(s - 104)*(3*s - 2)/5
Let j be (4/(-4) - -28)/(48/(-128)). Let m be 6/j*10*(-8)/10. Factor -m - 2/9*b**2 - 8/9*b.
-2*(b + 1)*(b + 3)/9
Suppose 0*y + 36 = 5*n - 4*y, 3*n - y - 23 = 0. Let q be 24*1 - (-3 - -1). Factor 3*a**4 - q*a - n*a**3 + 18*a - 2 - 12*a**2 - 6*a**4 + a**4.
-2*(a + 1)**4
Suppose -720/7*n + 716/7 + 4/7*n**2 = 0. What is n?
1, 179
Let l(f) = -f**3 - 12*f**2 + 25*f + 119. Let d be l(-16). Let r = 746 - d. Solve -46/13*b**r + 122/13*b**2 - 80/13*b**4 + 8/13 + 64/13*b + 32/13*b**5 = 0.
-1, -1/4, 2
Let f(w) be the third derivative of 0*w + 0 - 1/170*w**6 + 0*w**3 - 3/34*w**4 + 5/102*w**5 + 183*w**2 - 1/1785*w**7. Solve f(t) = 0.
-9, 0, 1, 2
Let x be (-30)/(-4)*(-408)/(-15). Factor 3*q**2 + 44*q + 1125 + 2*q**2 + 155 - 