l(h) be the first derivative of q(h). Factor l(i).
(i + 1)*(i + 26)**2
Let p(j) be the second derivative of -j**6/5 - 79*j**5/20 - 157*j**4/6 - 128*j**3/3 + 240*j**2 + 1291*j - 3. What is d in p(d) = 0?
-6, -4, 5/6
Let l(p) be the second derivative of -p**7/42 + 11*p**6/30 - 2*p**5/5 - 53*p**4/3 + 64*p**3 + 288*p**2 + p - 698. Let l(h) = 0. What is h?
-4, -1, 4, 6
Factor 76/5 - 74/5*a - 2/5*a**2.
-2*(a - 1)*(a + 38)/5
Let k(a) be the third derivative of a**5/180 - 257*a**4/72 + 127*a**3/3 - a**2 + 1297*a. Factor k(g).
(g - 254)*(g - 3)/3
Let h = 186 - 183. Factor 3*o - 7*o + 3*o + 3*o**2 + 4*o**h + 0*o**2.
o*(o + 1)*(4*o - 1)
Let h be (-54)/(-12)*(8 - 48/18). Let x(d) be the first derivative of 1/15*d**4 + h - 1/15*d**6 + 0*d + 0*d**2 - 2/75*d**5 + 0*d**3. Solve x(p) = 0 for p.
-1, 0, 2/3
Suppose -7 = -5*j + 8. Factor 10*q**j - 5873*q**2 - 64*q - 64 + 5885*q**2 - q**4 - q**4.
-2*(q - 4)**2*(q + 1)*(q + 2)
Let b(s) be the third derivative of s**6/180 - 3*s**4/4 + 85*s**3/6 - 3*s**2 - 9. Let n(q) be the first derivative of b(q). Factor n(x).
2*(x - 3)*(x + 3)
Let n(u) be the first derivative of u**4/32 + 31*u**3/12 + 255*u**2/4 + 225*u - 1739. Factor n(a).
(a + 2)*(a + 30)**2/8
Factor -2/9*r**4 + 0*r + 172/3*r**3 + 0 - 3698*r**2.
-2*r**2*(r - 129)**2/9
Let r(b) = -2*b**2 + 12*b + 3. Let z = -85 + 91. Let q be r(z). Let 56*v**3 + q*v**4 + 4*v**5 + 36*v + 64*v**2 - 2 + 21*v**4 + 10 = 0. Calculate v.
-2, -1
Factor 878/9*l**2 + 0 - 2*l**3 + 196/9*l.
-2*l*(l - 49)*(9*l + 2)/9
Find i such that -1372*i - 4*i**3 + 1283405*i**2 - 1283261*i**2 + 76*i + 3456 = 0.
6, 24
Suppose v - 9*v = 11*v - v. Let s(n) be the second derivative of 1/96*n**4 + v - 6*n + 0*n**2 - 1/24*n**3. Factor s(l).
l*(l - 2)/8
Let g(k) be the third derivative of -1/12*k**4 - 54*k**2 + 1/510*k**5 + 0*k + 16/51*k**3 + 0. Factor g(o).
2*(o - 16)*(o - 1)/17
Let w(t) be the first derivative of 2/3*t**2 - 2/27*t**3 + 14/9*t - 7. Determine l, given that w(l) = 0.
-1, 7
Let v(r) be the first derivative of r**5/5 - 36*r**4 + 2994. Factor v(x).
x**3*(x - 144)
Suppose 4 = j + 3*j + 4*t, j + 3*t + 1 = 0. Let a be (1/(-4))/((-6)/(-8)) + (-60512)/(-20832). Factor -2*g**j - a - 2/7*g**3 - 30/7*g.
-2*(g + 1)*(g + 3)**2/7
What is j in -96 - 86*j - 15*j**5 + 2404*j**2 + 21*j**3 - 2770*j**2 - 298*j + 84*j**4 = 0?
-1, -2/5, 4
Determine d so that 279 + 3621/2*d - 39/2*d**2 = 0.
-2/13, 93
Let g(j) be the third derivative of -2/45*j**4 + 0 + 52*j**2 + 0*j**3 + 0*j + 1/450*j**5. Factor g(v).
2*v*(v - 8)/15
Let a(g) = -6*g**2 - 1033*g + 869. Let y be a(-173). Solve 272/5*i**4 + 1192/5*i**2 - 48/5*i - 1108/5*i**3 - 288/5 - y*i**5 = 0 for i.
-2/5, 1, 6
Let x(d) be the first derivative of d**4/24 + 86*d**3/9 + 6853*d**2/12 - 7921*d + 720. Determine l, given that x(l) = 0.
-89, 6
Let r = -164253 + 1149783/7. Factor 2 - r*b - 2/7*b**2.
-2*(b - 1)*(b + 7)/7
Let y = 266 + -266. Let w(g) be the third derivative of 0*g**5 + 0*g + y*g**4 + 0*g**3 - 2*g**2 + 2/525*g**7 - 1/150*g**6 + 0. Solve w(d) = 0.
0, 1
Let y(c) be the first derivative of c**4/16 + 3*c**3 + 189*c**2/8 + 135*c/2 - 1665. Factor y(n).
(n + 3)**2*(n + 30)/4
Let -3*s**3 - 37*s - 54*s**2 - 65*s - 324 - 19*s - 122*s = 0. Calculate s.
-12, -3
Let k(a) be the first derivative of -a**5/12 - 5*a**4/12 - 5*a**3/6 - 21*a**2/2 - 54. Let n(s) be the second derivative of k(s). Factor n(l).
-5*(l + 1)**2
Let g(t) = t**3 + 22*t**2 - 21*t + 50. Let f be 9/6*(-414)/27. Let v be g(f). Factor -36*q + 31*q**v - 15*q**2 + 36*q**3 - 4*q**4 - 32 + 20.
3*(q - 1)*(q + 1)*(3*q + 2)**2
Let u(f) = -f**3 + 7*f**2 - 8*f + 12. Suppose 68 = 42*t - 184. Let m be u(t). Factor 0*p**4 + m + 0*p**2 + 0*p**3 - 3/7*p**5 + 0*p.
-3*p**5/7
Factor -1971/4 - 3/8*b**2 - 675/8*b.
-3*(b + 6)*(b + 219)/8
Let q = 279 + -279. Let b(d) be the first derivative of -3/7*d**2 + 5 - 1/14*d**4 - 8/21*d**3 + q*d. Factor b(r).
-2*r*(r + 1)*(r + 3)/7
Let j(f) be the first derivative of -f**4/6 + 8*f**3 - 144*f**2 - 16*f - 66. Let v(h) be the first derivative of j(h). Factor v(u).
-2*(u - 12)**2
Suppose 8*c + 26 = 9*c - 3*j, c = -5*j + 10. Suppose -20*m + 10*m + c = 0. Factor 0 - 4/7*p - 10/7*p**m + 2*p**3.
2*p*(p - 1)*(7*p + 2)/7
Let z = 51/32 - -21/32. Suppose 0 = -2*f - 3*f + 10. Let 0 + 2*t**3 - z*t - 3/2*t**4 + 3/2*t**f + 1/4*t**5 = 0. Calculate t.
-1, 0, 1, 3
Let i(t) be the first derivative of 0*t + 27 + 1/44*t**4 + 1/11*t**2 + 1/11*t**3. Solve i(u) = 0 for u.
-2, -1, 0
Let q = 38/1979 - -69189/3958. Solve -185/2*z**2 - q*z**5 - 15/2*z**3 + 0 + 185/2*z**4 + 25*z = 0.
-1, 0, 2/7, 1, 5
Suppose -11*u - 26 = -81. Factor -5*z**u - 15*z**4 + 3 - 3 + 3814*z**3 - 3824*z**3.
-5*z**3*(z + 1)*(z + 2)
Suppose 3*l + 66 = y, 8*y - 7*y + 81 = -4*l. Let w be ((-6)/l)/((-12)/7)*-20. What is o in -5*o**4 - w*o + 20/3*o**2 - 5/3 + 10/3*o**3 = 0?
-1, -1/3, 1
Let -4*q + 27*q**3 + 9*q**2 - 12*q + 4*q + 3*q**4 - 3*q**3 - 12 - 12*q**3 = 0. What is q?
-2, -1, 1
Let q = -570256 - -8553872/15. Let -8/15 - 2/3*i**2 - q*i + 10/3*i**3 = 0. Calculate i.
-2/5, 1
Let c(p) = -3*p**3 - 88*p**2 - 182*p - 7257. Let l be c(-30). Let 0 + 0*m + m**l - m**4 - 1/3*m**2 + 1/3*m**5 = 0. Calculate m.
0, 1
Let u(d) be the third derivative of 2*d**3 + 29*d + 0 - 2*d**2 + 7/60*d**5 + 25/24*d**4. Determine x, given that u(x) = 0.
-3, -4/7
Let i be (4/(-42) - 158/(-336))/12. Let q(d) be the first derivative of 0*d**2 + 9 - 1/12*d**3 + 1/40*d**5 - i*d**4 + 0*d. Factor q(a).
a**2*(a - 2)*(a + 1)/8
Suppose -1/8*m**3 - 131/8*m**2 + 131/8 + 1/8*m = 0. Calculate m.
-131, -1, 1
Let q(r) = 590*r**3 + 43208*r**2 - 88802*r - 12. Let m(n) = n**4 - 589*n**3 - 43207*n**2 + 88801*n + 18. Let k(f) = -2*m(f) - 3*q(f). Let k(o) = 0. Calculate o.
-149, 0, 2
Let s be (22/6 + -3)/(9/81). Let g be 0 - -4 - (75/s)/5. Suppose 11/2*j**2 + 2*j**3 + g + 5*j = 0. Calculate j.
-1, -3/4
Let w(z) be the first derivative of -5*z**6/2 + 325*z**5 - 22135*z**4/2 + 4500*z**3 + 14580*z**2 - 116. Suppose w(l) = 0. What is l?
-2/3, 0, 1, 54
Solve 0 - 40/3*j**4 + 8*j - 2*j**5 - 82/3*j**3 - 40/3*j**2 = 0 for j.
-3, -2, 0, 1/3
Let i(y) = -23*y**3 - 370*y**2 + 1566*y + 6. Let d(v) = -325*v**3 - 5180*v**2 + 21925*v + 85. Let q(m) = 6*d(m) - 85*i(m). Factor q(k).
5*k*(k - 4)*(k + 78)
Let k(w) be the third derivative of -w**7/840 - 7*w**6/80 - 19*w**5/20 + 16*w**4/3 - 6*w**2 - 3. Let q(y) be the second derivative of k(y). Factor q(r).
-3*(r + 2)*(r + 19)
Let j(s) be the third derivative of -s**5/120 + 229*s**4/48 - 19*s**3 - 1351*s**2. Factor j(u).
-(u - 228)*(u - 1)/2
Determine q so that -466/9 + 26*q**2 - 1/9*q**3 - 77/3*q = 0.
-1, 2, 233
Let h(q) be the second derivative of q**5/60 + 13*q**4/24 + 71*q**2/2 - 124*q. Let i(t) be the first derivative of h(t). Determine g, given that i(g) = 0.
-13, 0
Let q(a) be the first derivative of 7*a**6/9 + 458*a**5/15 - 10673*a**4/24 - 147277*a**3/9 + 747040*a**2/3 - 414736*a/3 + 4384. What is w in q(w) = 0?
-28, 2/7, 23/2
Let a be (56580/805)/123 + (-8)/14. Suppose -1/3*o**3 - 5*o**2 + a*o + 0 = 0. Calculate o.
-15, 0
Let c be (-17)/(-1) + (-90465)/5379. Factor -2/11*k**2 - c*k**3 + 10/11*k - 6/11.
-2*(k - 1)**2*(k + 3)/11
Suppose 0 = -2*q + g - 15 + 27, 2*q = -5*g - 12. Let u(x) be the second derivative of -5/12*x**3 + 18*x - 3/40*x**5 + 0 - 3/4*x**2 + 11/24*x**q. Factor u(i).
-(i - 3)*(i - 1)*(3*i + 1)/2
Let b(x) = -x**3 - 3*x**2 - 4*x - 8. Let i be b(-4). Let d be (-44)/126 + i/(-378)*-9. What is g in -4/9*g + 0 + d*g**2 = 0?
0, 2
Let y(k) = -k + 1. Let v be y(-3). Let m be ((-900)/91)/((-164)/574). Factor 70/13*x**2 + m*x**3 + 1250/13*x**5 + 1250/13*x**v + 0 + 4/13*x.
2*x*(5*x + 1)**3*(5*x + 2)/13
Let y(s) be the second derivative of 2/105*s**6 + 209*s + 108/7*s**4 + 0*s**2 + 0 + 0*s**3 - 36/35*s**5. Determine w so that y(w) = 0.
0, 18
Suppose 2*d + 5*k - 22 = d, -30 = 5*d - 3*k. Let f be 21/9 + d/9. Factor 25*n**2 - 28*n**2 - n + 2*n**4 - 1 + n**3 + f.
(n - 1)*(n + 1)**2*(2*n - 1)
Let b(p) be the third derivative of -25*p**8/336 - 207*p**7/7 - 491*p**6/24 + 207*p**5/2 + 310*p**4/3 - 13*p**2 + 11*p - 6. Find z such that b(z) = 0.
-248, -1, -2/5, 0, 1
Let w(n) be the second derivative of 0*n**2 - 5/4*n**4 - 1 + 10*n + 10/3*n**3 - 1/4*n**5. Factor w(i).
-5*i*(i - 1)*(i + 4)
Find c, given that 668/3*c**2 - 92/3*c**3 - 1780/3*c + 4/3*c**4 + 400 = 0.
1, 