 n(l) = 4*l**2 + 5*l. Let k(c) = -c**3 - 5*c**2 - 6*c - 1. Let s be k(-4). Let y be n(s). Factor -y*u**5 - 6*u**4 + 234*u**5 - 2*u**2 + 2*u**2.
3*u**4*(u - 2)
Let o(h) = 776*h**2 + 51991*h - 65. Let n be o(-67). Let 14/3*s**4 + 178*s**n + 158/3*s**3 + 100/3 + 490/3*s = 0. What is s?
-5, -1, -2/7
Let l(s) be the third derivative of s**7/20 - 331*s**6/80 - 121*s**5/20 + 6*s**4 - 393*s**2 - 9*s. What is f in l(f) = 0?
-1, 0, 2/7, 48
Let p(k) = 2*k**4 + 27*k**3 - 28*k**2 - 14*k - 13. Let m(i) = i**4 + 13*i**3 - 13*i**2 - 7*i - 6. Let h(w) = -13*m(w) + 6*p(w). Factor h(v).
-v*(v - 1)*(v + 1)*(v + 7)
Suppose -46*s - 2/3*s**2 + 284/3 = 0. Calculate s.
-71, 2
Let c be ((-9)/(-42))/(989/46). Let t = c + 1493/1204. Factor 1/4*d**3 - 9/4*d - 3/4*d**2 - t.
(d - 5)*(d + 1)**2/4
Let x(y) = 2*y**2 + 2*y + 3. Let c be x(6). Suppose c*l**4 - 4 + 4 + 4*l**3 - 91*l**4 = 0. What is l?
0, 1
Factor 1/8*v**2 + 0 + 35/8*v.
v*(v + 35)/8
Let r(z) be the second derivative of z**6/180 - 25*z**5/12 + 31*z**4/9 + 125*z**3/18 - 83*z**2/4 + 3582*z - 1. Find k, given that r(k) = 0.
-1, 1, 249
Suppose 16652*b - 16649*b - 2*q = 41, -2*q - 20 = 4*b. Factor 8/3 + 14/3*l - 2/3*l**b + 4/3*l**2.
-2*(l - 4)*(l + 1)**2/3
Let r(c) = -c**3 - 10*c**2 - c - 8. Let s be r(-10). Let i(f) = 227*f - 6. Let q be i(s). Suppose -4 - 5 + q*n - 436*n - 3*n**2 = 0. Calculate n.
1, 3
Let k be 6/(-40) - (-332)/1328. Solve 36/5*w**2 + k*w**5 - 216/5 - 216/5*w + 17/10*w**4 + 44/5*w**3 = 0 for w.
-6, -1, 2
Let r be (-17 + (-10300)/(-540) + -2)*(-9)/(-6). Factor 2/9*l**2 + r*l**3 - l - 2.
(l - 3)*(l + 2)*(l + 3)/9
Let o(y) = y**3 - 14*y**2 - 14*y + 61. Let b be o(14). Let a be (-4 - (-2)/2)*18/b. Factor -a*n + 0 + 2/5*n**2.
2*n*(n - 1)/5
Suppose 0 = -9*n - 21 + 39. Let i(d) be the first derivative of -1/28*d**4 + 2 + 4/7*d + 2/21*d**3 + 1/2*d**n. Factor i(c).
-(c - 4)*(c + 1)**2/7
Let y be -2*1*882/84. Let s be (21/(-14))/(y/8). Factor -6/7*o - s - 2/7*o**2.
-2*(o + 1)*(o + 2)/7
Let m(v) = -3*v**3 + 3*v**2 + 63*v + 85. Let d be m(-3). Let r be ((-4)/2)/(0 - 5). Find x such that -2/5*x - 2/5*x**5 + 2/5*x**d + r - 4/5*x**2 + 4/5*x**3 = 0.
-1, 1
Factor -226/3*l - 25538/3*l**2 - 1/6.
-(226*l + 1)**2/6
Let s(k) be the second derivative of -k**4/32 + 2151*k**3/8 - 13880403*k**2/16 - 1557*k. Find v such that s(v) = 0.
2151
Let m(s) be the third derivative of 0*s + 0 - 7/135*s**5 + 0*s**3 - 13/540*s**6 - 1/108*s**4 - 69*s**2. Factor m(c).
-2*c*(c + 1)*(13*c + 1)/9
Let k = -2581 + 2749. Let f be (-3*(0 - -2))/(k/(-64)). Factor 2/7*y**2 - f + 4/7*y.
2*(y - 2)*(y + 4)/7
Let b = 14687 - 10335. Determine i, given that -531 + b*i - 12828*i**3 + 5155 + 12832*i**3 - 268*i**2 = 0.
-1, 34
Let q(g) = 5*g**2 + 110*g - 130. Let h = -23362 - -23367. Let o(d) = 118 + 38*d - 203*d + 76 - 8*d**2. Let m(v) = h*o(v) + 7*q(v). Find u, given that m(u) = 0.
-12, 1
Let a be (-68 - 7)*(-8976)/10285. What is c in -648/11 + 2/11*c**3 - 74/11*c**2 + a*c = 0?
1, 18
What is m in 572*m**3 - 55*m**5 + 59 + 37 - 29*m**5 - 368*m - 58*m**2 + 15*m**2 - 13*m**2 + 80*m**4 = 0?
-2, -1, 2/7, 2/3, 3
Factor y**2 + y**2 + 3574*y - 4*y**2 + 72 - 3504*y + 516.
-2*(y - 42)*(y + 7)
Let x(q) be the third derivative of q**6/180 - 7*q**4/12 + 20*q**3/9 + 985*q**2. What is b in x(b) = 0?
-5, 1, 4
Let n be -7 + ((-147)/(-42) - (-2)/(-4)). Let v(s) = 12*s - 2*s - 2*s. Let g(f) = f**2 + f. Let r(x) = n*g(x) + v(x). Factor r(p).
-4*p*(p - 1)
Let p(d) be the second derivative of d**8/560 - 3*d**7/280 - d**6/30 + 3*d**5/10 + 77*d**3/6 + 6*d - 2. Let v(m) be the second derivative of p(m). Factor v(a).
3*a*(a - 3)*(a - 2)*(a + 2)
Let q(r) be the second derivative of -r**7/280 + r**6/40 - r**5/20 - 7*r**3/3 - r**2/2 + r + 5. Let n(s) be the second derivative of q(s). Factor n(x).
-3*x*(x - 2)*(x - 1)
Suppose 1/11*l**3 + 4624/11 + 884/11*l - 64/11*l**2 = 0. Calculate l.
-4, 34
Let m(d) be the first derivative of -63/2*d**2 + d**3 + 15/4*d**4 - 54*d + 3/5*d**5 + 9. Factor m(h).
3*(h - 2)*(h + 1)*(h + 3)**2
Suppose 5 = -4*r + 3*v + 14, 2*r - 3*v = 3. Suppose 4*d - r*p - 26 = 0, 2*p + 3*p + 10 = 0. Solve d*k**3 + 17*k - 29*k**2 - k**2 + 43*k - 13 - 27 = 0.
2
Let u(v) be the third derivative of v**5/15 + 79*v**4/3 - 322*v**3 - 2004*v**2. Suppose u(t) = 0. What is t?
-161, 3
Let d be 1/(-4) - 299/4. Let f be (-220)/d - (1 + (-28)/20). Let -f*y**3 - 2/3 + 0*y**2 - y**5 + 10/3*y**4 + 5/3*y = 0. Calculate y.
-2/3, 1
Let g(r) = 25*r**2 - 740*r + 60. Let u(h) = -h - 2. Let w(f) = g(f) + 30*u(f). Find y, given that w(y) = 0.
0, 154/5
Let r(z) be the second derivative of -8*z**7/105 + 212*z**6/75 - 1681*z**5/100 + 217*z**4/6 - 398*z**3/15 + 44*z**2/5 + 120*z + 3. Find p, given that r(p) = 0.
1/4, 2, 22
Let s(i) = 13*i**2 + 5*i + 5. Let o(p) be the first derivative of 8*p + 4*p**2 + 20/3*p**3 + 16. Let r(j) = -5*o(j) + 8*s(j). Let r(m) = 0. Calculate m.
0
Determine d so that -140*d + 15083*d**2 - 12049*d**3 - 3793*d**3 - 2906*d**2 + 4377*d**2 + 8 - 580*d = 0.
2/89, 1
Let f(a) = -a**3 + 2*a**2 + 24*a. Let q(y) = 13*y - 17. Let z be q(1). Let n be f(z). Factor 1/3*m**3 + n + 1/3*m - 2/3*m**2.
m*(m - 1)**2/3
Let k be -2*(-1)/8 - 0. Suppose 4*q = s - 36, -5*s - 27 = -5*s + 3*q. Solve 0*x**2 + s*x**4 + 0*x + k*x**3 - 1/4*x**5 + 0 = 0.
-1, 0, 1
Suppose -13*b - 24 = -50. Factor 133*q - 3262*q**2 + 1120*q**3 - 80 - 245*q**4 + 340*q + 167*q + 1702*q**b.
-5*(q - 2)**2*(7*q - 2)**2
Let t(h) = h**3 - 3*h**2 - 5*h + 6. Let a be t(4). Let -5*r**3 - 9*r**3 - 3*r**4 + 4*r**4 - 36*r - 32*r**2 - 108 + 89*r**a = 0. Calculate r.
-1, 3, 6
Let r(h) = -4*h**3 + 84*h**2 + 84*h + 2. Let o(a) = -17*a**3 + 337*a**2 + 336*a + 9. Let p(f) = -2*o(f) + 9*r(f). Suppose p(q) = 0. What is q?
-1, 0, 42
Factor -48*f - 4*f**2 + 3*f**2 - 1179*f + 1228 + 0*f**2.
-(f - 1)*(f + 1228)
Let j be (3 + (-7596)/(-30))/(2/5). Let z = j - 640. Factor -1/2*d + 0 - z*d**2.
-d*(d + 1)/2
Let z = 15089/1394 - 849/82. Determine y, given that 0 + 0*y - 14/17*y**4 - 16/17*y**3 + 10/17*y**5 + z*y**2 = 0.
-1, 0, 2/5, 2
Let b be ((-4)/(-3) - 2)*(-1770)/236. Let r**3 - 12*r**4 + 12*r - 2*r**3 - 106*r**5 - 8 - 22*r**3 - 99*r**5 + 214*r**b + 18*r**2 = 0. What is r?
-1, 2/3, 2
Let a be ((-99)/(-9) - 15) + (-4 - -6) + 4. Find s such that -18 - 75/2*s**3 - 9/2*s**5 + 105/2*s**a + 42*s - 69/2*s**4 = 0.
-6, -2, -1, 1/3, 1
Let k(l) be the second derivative of l**4/42 + 4*l**3/3 + 27*l**2/7 + 3*l + 93. Factor k(z).
2*(z + 1)*(z + 27)/7
Factor 1714750/7 + 54720/7*l**2 + 2/7*l**4 - 572/7*l**3 - 252700*l.
2*(l - 95)**3*(l - 1)/7
Determine p, given that 4 - 1479688*p**2 - 4*p + 9*p + 1479689*p**2 = 0.
-4, -1
Find o such that -18*o + 2/9*o**4 + 12 - 22/9*o**3 + 10*o**2 = 0.
2, 3
Solve -1630/17*k - 2/17*k**2 + 96 = 0.
-816, 1
Let m = -14 - -17. Suppose -4*s - m*k = 2 - 11, -3*s - 3*k = -6. Find u, given that 273*u**4 + 4*u**5 - 4*u**s - 281*u**4 + 4*u**3 = 0.
0, 2
Let g(c) = 5*c**3 - 1745*c**2 + 924079*c - 170953879. Let a(y) = 11*y**3 - 3510*y**2 + 1848159*y - 341907759. Let q(j) = 4*a(j) - 9*g(j). Solve q(w) = 0.
555
Determine j so that 1/5*j**2 - 429/5*j - 862/5 = 0.
-2, 431
Let w(l) be the first derivative of -l**4/8 + 3*l**3/2 + 63*l**2 + 185. Suppose w(i) = 0. Calculate i.
-12, 0, 21
Let t = -43 + 1. Let l = 48 + t. Factor 10*n**3 - 2 - 4*n + l + 4 - 12*n - 14*n**2.
2*(n - 2)*(n + 1)*(5*n - 2)
Let l(z) be the first derivative of z**4 + 292*z**3/3 + 420*z**2 + 6906. What is r in l(r) = 0?
-70, -3, 0
Let a(g) be the third derivative of 17*g**6/360 - 4*g**5/45 - 86*g**4/9 + 320*g**3/3 + 10208*g**2. Factor a(b).
(b - 4)**2*(17*b + 120)/3
Factor -5624/7 - 5632/7*s - 2/7*s**3 - 202*s**2.
-2*(s + 2)**2*(s + 703)/7
Factor 3820/7*f + 218886/7*f**2 + 50/21.
2*(573*f + 5)**2/21
Let d(n) be the third derivative of 0*n - 5/3*n**4 + 0 + 1/12*n**5 - 16*n**2 + 40/3*n**3. Determine u, given that d(u) = 0.
4
Let v(k) be the third derivative of -k**5/60 - 101*k**4/24 + 301*k**2. Factor v(i).
-i*(i + 101)
Let t = -649234/3 + 216414. Let t*z - 4*z**2 - 2/3*z**3 + 1/3*z**4 + 32/3 = 0. What is z?
-2, 2, 4
Let p be (-2)/(-3)*(-83760)/(-18148). Let -32/13*c + p*c**3 + 10/13 - 8/13*c**4 + 6/13*c**2 = 0. Calculate c.
-1, 1/2, 5
Let y(d) be the second derivative of d**6/150 - 31*d**5/50 + 238*d**4/15 + 93*d**3/5 - 8649*d**2/10 + 236*d - 2. Factor y(j).
(j - 31)**2*(j - 3)*(j