 23/(-299)*(-17 + -2 + 3). Let c be (2 - 6)/(-4) + 2 + 3 + -4. What is l in 0 - v*l**c + 18/13*l**4 + 6/13*l**3 - 8/13*l = 0?
-2/3, 0, 1
Let d(x) be the first derivative of x**4/2 + 8*x**3/3 - 55*x**2 + 100*x - 2217. Factor d(z).
2*(z - 5)*(z - 1)*(z + 10)
Factor 2562*a**2 + 864*a**3 + 1692 + 3396*a + 447/4*a**4 + 3/4*a**5.
3*(a + 2)**4*(a + 141)/4
Let q(z) = -z**3 + 10*z**2 - 6*z - 23. Let c be q(9). Determine o, given that 9*o**4 - 11*o**5 + 2*o**5 - 25*o**4 - 25*o**4 - o**c - 24*o**3 = 0.
-4, -2/3, 0
Suppose 4*l = 4*r + 96, 3*r - 20 + 78 = -4*l. Let m(f) = -f**2 - 22*f + 8. Let v be m(r). Solve -v*t - 22*t + 38*t - 4*t**2 = 0 for t.
0, 2
Suppose -23*r + 357 + 2953*r**2 + 111 + 2951*r**2 - 5905*r**2 = 0. What is r?
-36, 13
Determine u, given that 13/9*u**3 - 8/9*u**2 + 100/3 - 305/9*u = 0.
-5, 1, 60/13
Let c(k) be the second derivative of -k**4/20 - 989*k**3/10 - 1482*k**2/5 - 3298*k. Factor c(l).
-3*(l + 1)*(l + 988)/5
Let c be -10 + 2 - (-9 - -2). Let d be 13/(364/21)*c/(-3). Factor 3/4*v - d*v**2 + 1.
-(v - 4)*(v + 1)/4
Let c be 5/(-20)*4*(2 - 4). Let u be 3 - (6 - 1 - c). Let 0*w + 2/21*w**2 - 10/21*w**3 + 8/21*w**4 + u = 0. What is w?
0, 1/4, 1
Factor -1/11*k**2 + 342/11*k - 29241/11.
-(k - 171)**2/11
Let s be -7 + (-41060)/(-28) + -6. Let u = -1450 + s. Factor 72/7 + 2/7*x**2 - u*x.
2*(x - 6)**2/7
Let b be 25 - (9 - (-11975)/750). Let h(t) be the second derivative of 0 - 1/50*t**5 + 1/75*t**6 + 1/15*t**3 + 3*t - b*t**4 + 0*t**2. Factor h(o).
2*o*(o - 1)**2*(o + 1)/5
Let r(a) be the first derivative of 216/11*a**2 - 1/33*a**6 + 72/11*a**3 - 45/11*a**4 + 34/55*a**5 - 159 + 0*a. Factor r(t).
-2*t*(t - 6)**3*(t + 1)/11
Let a(h) be the second derivative of 28*h**6/75 + 88*h**5/25 + 209*h**4/30 - 16*h**3/3 - 36*h**2/5 + 526*h - 7. Find x, given that a(x) = 0.
-9/2, -2, -2/7, 1/2
Solve 15*n**2 - 6*n**3 + 8*n**3 - 73*n**2 + n**3 + 174*n - 35*n**2 = 0.
0, 2, 29
Let f(z) be the third derivative of 3*z + 1/24*z**6 + 0 - 85/12*z**4 + z**2 + 0*z**3 + 5/4*z**5. Factor f(k).
5*k*(k - 2)*(k + 17)
Let k(l) be the third derivative of 0*l**3 + 5*l**2 + 1/16*l**4 - 1/120*l**5 + 0 + 0*l. Factor k(h).
-h*(h - 3)/2
Let l(j) be the second derivative of 2 - 79*j - 1/40*j**6 + 3/4*j**4 - 3/20*j**5 + 0*j**2 + 0*j**3. Suppose l(o) = 0. What is o?
-6, 0, 2
Factor -96/7 - 4/7*w**2 + 44/7*w.
-4*(w - 8)*(w - 3)/7
Let c(z) be the first derivative of -4*z**5/5 - 3*z**4 + 160*z**3/3 + 197. Find l, given that c(l) = 0.
-8, 0, 5
Solve -69*u**3 - 6*u**2 - 76*u**3 + 16*u**4 + 236*u**3 - 7*u**5 - 74*u**3 = 0 for u.
-1, 0, 2/7, 3
Let z(b) be the second derivative of -125/32*b**4 - 9/4*b**2 + 19/4*b**3 + 9/112*b**7 + 57/80*b**6 - 3/32*b**5 + 1 + 24*b. Let z(n) = 0. What is n?
-6, -2, 1/3, 1
Suppose 4 = -5*j + 14. Suppose -5*p + j*p = -21. Factor 18*v**2 - 45*v**4 - 20*v - p*v**2 + 23*v**3 - 5 + 37*v**3 - v**2.
-5*(v - 1)**2*(3*v + 1)**2
Let v = 22019 + -22017. Let o(j) be the second derivative of -1/30*j**4 + 0*j**v + 0*j**3 - 32*j + 0. Factor o(m).
-2*m**2/5
Suppose -5*d - 5*p + 12 = -4*p, 0 = 5*d + 5*p. Suppose -7*z + 14 = d*f, z + 2 - 4 = 3*f. Factor 0 - 3/4*b**z - 3/4*b.
-3*b*(b + 1)/4
Let h = 5926 + -5926. Let z(j) be the first derivative of -3 + h*j - 1/2*j**2 + 1/6*j**3. Find o such that z(o) = 0.
0, 2
Let d(g) be the second derivative of -g**6/6 - 23*g**5/4 - 50*g**4 + 120*g**3 - 55*g + 64. Factor d(t).
-5*t*(t - 1)*(t + 12)**2
Suppose -157*z - 772 + 2724 + 1188 = 0. Let b(a) be the third derivative of 0*a - z*a**2 + 0*a**3 + 0 + 1/4*a**4 - 1/90*a**5. Factor b(y).
-2*y*(y - 9)/3
Let b(x) be the third derivative of 3*x**6/20 - x**5/60 + 48*x**2. Let s(l) = 10*l**3. Let t(r) = 4*b(r) - 7*s(r). Factor t(g).
2*g**2*(g - 2)
Let y(i) be the third derivative of 4*i**6/165 + 2116*i**5/55 + 2115*i**4/44 + 793*i**3/33 + i**2 - 409. Let y(f) = 0. What is f?
-793, -1/4
Let f(t) = -21*t**3 + 127*t**2 - 72*t + 1. Let w(h) = -50*h**3 + 318*h**2 - 180*h + 2. Let c(o) = -18*f(o) + 7*w(o). Solve c(a) = 0.
1/7, 1
Let w(r) be the second derivative of 83*r + 0 - 212/3*r**3 - 1/3*r**4 - 5618*r**2. Factor w(h).
-4*(h + 53)**2
Let k(z) be the second derivative of z**5/16 + 25*z**4/12 - 305*z**3/8 + 405*z**2/4 - 4518*z. Suppose k(l) = 0. What is l?
-27, 1, 6
Let y be 1008/120*(-10 + (-90)/(-175)*20). Factor 3*h**2 + 0*h - 3/5*h**4 - y*h**3 + 0.
-3*h**2*(h - 1)*(h + 5)/5
Suppose 34*l = 17*l + 51. Factor 44*d**3 + 498*d + 180 - 6*d**3 - 6*d**l + 418*d**2 - 50*d**2.
2*(d + 10)*(4*d + 3)**2
Suppose 0 = 3*u - 3, 3*b = -u + 28. Factor -23*l**2 - 30 + b*l**2 + 16*l**2 + 2 + 26*l.
2*(l - 1)*(l + 14)
Let m(a) = -82*a**3 - 19334*a**2 - 11535*a + 7696. Let f(h) = 55*h**3 + 12890*h**2 + 7690*h - 5130. Let n(x) = -7*f(x) - 5*m(x). Solve n(r) = 0.
-257, -1, 2/5
Let v = -491312 - -4421809/9. Let -v*s**3 + 0*s + 0*s**2 + 0 = 0. Calculate s.
0
Let a be ((-10)/4)/(5/(-170)). Let i = a + -83. Find y such that 0*y + 12/11*y**4 + 0*y**i + 0 + 6/11*y**5 + 6/11*y**3 = 0.
-1, 0
Let h(t) be the second derivative of -t**6/72 - 23*t**5/24 - 55*t**4/12 - 61*t**3/6 - t**2 - t + 63. Let w(b) be the second derivative of h(b). Factor w(n).
-5*(n + 1)*(n + 22)
Let t(n) be the third derivative of 2*n**2 - 5/2*n**3 + 0 + n**6 + 10/3*n**4 - 5/2*n**5 + 67*n - 1/6*n**7. Factor t(q).
-5*(q - 1)**3*(7*q - 3)
Suppose -8*b + 5*b = z - 31, 17*z - 68 = 0. Let k(o) be the second derivative of -1/66*o**4 - 1/11*o**3 + 0 - 2/11*o**2 + b*o. Factor k(y).
-2*(y + 1)*(y + 2)/11
Let s(g) be the second derivative of g**5/28 - 747*g**4/28 + 5984*g**3 - 3584*g**2 + 4979*g. Let s(n) = 0. What is n?
1/5, 224
Let y be (1575/788 + -2)*(-4 + 14). Let l = 22160/197 - y. Let 365/2*i**2 + 80*i + 10 + l*i**3 = 0. What is i?
-1, -2/5, -2/9
Let v be (14/21)/((-4)/(-18)) - 22. Let j be (-4)/30*2125/(2 + v). Find q, given that -j*q + 250/9 - 2/9*q**3 + 10/3*q**2 = 0.
5
Suppose -10*y = -14*y + 5*j + 3, -5*y + 5 = -5*j. Suppose -6*s**y - 2/3*s**4 + 0 - 4*s**3 + 0*s = 0. Calculate s.
-3, 0
Let b(n) be the second derivative of 71*n + 20*n**2 + 0 + 1/6*n**4 + 3*n**3. Factor b(l).
2*(l + 4)*(l + 5)
Suppose 3/2*l**5 - 189/2*l**2 + 0 + 0*l - 39/2*l**4 + 153/2*l**3 = 0. Calculate l.
0, 3, 7
Let i be (-3 + 3)*(7 - (-220)/(-30)). Let g(l) be the third derivative of -4/5*l**5 + 0*l + 8*l**2 - 2*l**3 + 1/5*l**6 + 5/3*l**4 + i - 2/105*l**7. Factor g(b).
-4*(b - 3)*(b - 1)**3
Let g(f) = 10*f**2 + 110*f + 2. Let h be g(-11). Let t(s) be the second derivative of 2*s**3 + 18*s + 1/4*s**4 + 6*s**h + 0. Factor t(q).
3*(q + 2)**2
Let 298*v + 42*v**2 - 312*v - 24 + 262*v = 0. What is v?
-6, 2/21
Let n(v) be the second derivative of 5*v**7/42 + 19*v**6/6 + 129*v**5/4 + 1705*v**4/12 + 275*v**3/3 - 1500*v**2 + 3745*v. Solve n(k) = 0.
-6, -5, -4, 1
Let u(a) be the second derivative of 216*a**2 - 95*a**2 + 20*a + 24*a**3 + 20*a**3 + 6*a**4. Determine d, given that u(d) = 0.
-11/6
Suppose -c - 116 = -5*s, 0 = -s - 2 - 1. Let x = 166 + c. Factor -44*o**2 + 243 + 25*o**2 + 3*o**4 - x*o**2.
3*(o - 3)**2*(o + 3)**2
Suppose -47 = -13*l - 8. Let q be 4 + l/(-36)*-8. What is p in q*p**4 - 16/3 - 22*p**3 + 92/3*p**2 - 8*p = 0?
-2/7, 1, 2
Let i(z) be the third derivative of z**5/150 + 19*z**4/60 - 92*z**3/15 - 649*z**2. Solve i(o) = 0.
-23, 4
Let h(d) be the third derivative of -275*d**8/196 + 292*d**7/147 + 13*d**6/15 - 4*d**5/5 - 5*d**4/42 + 4*d**3/21 - 1025*d**2. Solve h(g) = 0.
-1/3, -2/11, 1/5, 1
Let d(g) be the second derivative of 529*g**4/3 - 92*g**3/3 + 2*g**2 + 255*g. Factor d(b).
4*(23*b - 1)**2
Let d(f) be the second derivative of f**5/20 - 7*f**4/6 + 7*f**3/6 + 39*f**2 + 788*f. Determine j, given that d(j) = 0.
-2, 3, 13
Let k be ((-879)/9)/(4/(-12)). Factor -5*p**2 - 130*p - k - 89 - 463.
-5*(p + 13)**2
Let r(p) = -4*p**3 + 4*p**2 + 109*p + 26. Let f(q) = -7*q**3 + 10*q**2 + 217*q + 50. Let t(k) = 3*f(k) - 7*r(k). Factor t(n).
(n - 4)*(n + 4)*(7*n + 2)
Suppose -76 + 41 = -7*t. Let 411*p**t + 675*p + 125 + 750*p**3 - 396*p**5 + 840*p**2 + 290*p**2 + 185*p**4 = 0. Calculate p.
-5, -1, -1/3
Suppose -23*f = 39*f - 52*f - 20. Factor 2/7*m + 0 - 4/7*m**f + 2/7*m**3.
2*m*(m - 1)**2/7
Let a(r) be the first derivative of -2*r**3/51 + 422*r**2/17 + 1696*r/17 - 4419. Factor a(k).
-2*(k - 424)*(k + 2)/17
Let h(d) be the first derivative of -d**4 - 6*d + 61 + 15*d - 8*d**3 + 15*d + 5*d**2 -