+ 48/5 = 0.
-2, -1, 2/3, 3
Let b(k) = 42*k**2 + 307*k + 91. Let r be b(-7). Factor r - 1/3*j**4 + 0*j + 4*j**2 - 1/3*j**3.
-j**2*(j - 3)*(j + 4)/3
Let j = 33073/9 + -3673. Factor -j - 2*c - 2/9*c**2.
-2*(c + 1)*(c + 8)/9
Factor -12224/7*t**2 - 2040/7 - 2024/7*t**4 - 4/7*t**5 + 8136/7*t**3 + 8156/7*t.
-4*(t - 1)**4*(t + 510)/7
Let j(l) be the first derivative of -2*l**5/45 + 11*l**4/18 - 82*l**3/27 + 61*l**2/9 - 20*l/3 - 1403. What is m in j(m) = 0?
1, 2, 3, 5
Let w(d) be the second derivative of -d**6/45 + 12*d**5/5 - 165*d**4/2 + 1050*d**3 + 5657*d. Factor w(y).
-2*y*(y - 42)*(y - 15)**2/3
Let d(o) be the second derivative of -o**4/36 - o**3 + 44*o**2/3 + 1844*o. Determine c, given that d(c) = 0.
-22, 4
Let f(b) be the third derivative of -b**5/20 - 253*b**4/120 + 17*b**3/15 + b**2 + 262. Solve f(h) = 0 for h.
-17, 2/15
Suppose -13291*u - 50 = -13389*u + 146. Factor -1225/4*z**3 - 1/4 - 1295/4*z**u - 71/4*z.
-(z + 1)*(35*z + 1)**2/4
Let a be (-15)/6*(-16)/5. Suppose 10*x - 6 = a*x. Factor 19*l + 9*l - 13*l - x*l**2 + 18.
-3*(l - 6)*(l + 1)
Let f = 112874 - 112872. Factor -8/21*o**f + 0 + 2/21*o**3 + 2/7*o.
2*o*(o - 3)*(o - 1)/21
Let h = -24 + 48. Factor -3*m**3 - m**3 + 4*m - m**3 - 4*m**2 - 16*m**2 - h*m.
-5*m*(m + 2)**2
Let p be 4/302 + 146652/9060. Factor p + 54/5*u**2 - 108/5*u + 1/5*u**4 - 12/5*u**3.
(u - 3)**4/5
Let f(n) be the first derivative of n**5/5 - n**4/2 - 47*n**3/3 - 66*n**2 - 108*n + 3634. Factor f(j).
(j - 9)*(j + 2)**2*(j + 3)
Suppose -26*k + 19*k + 42 = 0. Let g be -3*k/(-40) - (-29)/(-116). Suppose -8/5 + 14/5*f + g*f**3 - 7/5*f**2 = 0. Calculate f.
1, 2, 4
Let w(g) = 9*g**3 + 189*g**2 + 321*g - 14. Let t(h) = -3*h**3 - 63*h**2 - 108*h + 4. Let f(a) = 7*t(a) + 2*w(a). Suppose f(s) = 0. Calculate s.
-19, -2, 0
Factor -4*c + 130*c**3 + 3*c - 15317582*c**4 + c + 280*c**2 + 15317577*c**4.
-5*c**2*(c - 28)*(c + 2)
Let p(l) = 2*l**2 - l - 4. Let h(z) = 2*z**2 + 15258*z - 3432. Let w(t) = -h(t) + 10*p(t). Solve w(j) = 0 for j.
2/9, 848
Suppose -14*a = -5*a - 567. Let u = -61 + a. Factor -27/5*r**u - 81/5*r - 3/5*r**3 - 81/5.
-3*(r + 3)**3/5
Let x be (5 - 1 - 4165/1050)/(36/15). Let z(m) be the second derivative of 0 + 16*m + 1/6*m**3 - x*m**4 - 3/4*m**2. Determine v, given that z(v) = 0.
3
Let z = 3/343330 - -1716641/1029990. Determine l so that 1 + z*l**2 + 8/3*l = 0.
-1, -3/5
Let q(m) be the second derivative of m**7/3150 - m**6/60 - m**4/4 - 19*m**3/3 - 24*m + 2. Let c(i) be the third derivative of q(i). Factor c(h).
4*h*(h - 15)/5
Let j(i) = i**3 - 10*i**2 - 80*i - 25. Let v be j(-5). Let x(l) be the third derivative of 0*l + 3*l**2 + 1/4*l**4 - 1/20*l**5 + v*l**3 + 0. Factor x(o).
-3*o*(o - 2)
Let g(p) be the first derivative of p**3/15 - 12*p**2 + 720*p + 664. Solve g(d) = 0.
60
Factor -309/4*a - 3/4*a**2 - 303/2.
-3*(a + 2)*(a + 101)/4
Let b = 2456 - 2453. Let k(j) be the third derivative of 6*j**b + 0 - 1/2*j**4 + 0*j - 18*j**2 + 1/60*j**5. Find h such that k(h) = 0.
6
Let m = -1340 - -1344. Let d(y) be the first derivative of 0*y - 1/10*y**m - 8 - 2/5*y**2 + 2/5*y**3. Let d(p) = 0. What is p?
0, 1, 2
Let p(b) be the first derivative of -b**6/2 + 141*b**5/5 - 387*b**4/4 - 143*b**3 + 735*b**2 - 792*b + 1032. Solve p(h) = 0 for h.
-2, 1, 3, 44
Let u(b) = b**2 + b - 6. Let q be u(2). Suppose 4*d**3 + 58*d**2 + q*d**3 - 38*d**2 = 0. Calculate d.
-5, 0
Suppose 4*x + 12 = 4*z, 5*z + 12 = -3*x + 35. Suppose -580 = z*m - 588. What is w in 4/5*w**m - 4 - 16/5*w = 0?
-1, 5
Determine d, given that 309/2*d - 459 - 1/2*d**2 = 0.
3, 306
Let v(r) be the third derivative of r**7/42 + 4*r**6/3 + 14*r**5 - 360*r**4 - 3240*r**3 + 9847*r**2. Suppose v(h) = 0. What is h?
-18, -2, 6
Let m be (-8)/(-26)*5246 + 4/(-26). Factor 2*l**2 + l**2 + 5289 - 284*l - m + 74*l.
3*(l - 35)**2
Suppose -132 = -105*w + 78. Let f be (w - 1)*-2 - (-25 + 23). Determine n, given that -7/5*n**5 + f*n - 2/5*n**3 - 9/5*n**4 + 0*n**2 + 0 = 0.
-1, -2/7, 0
Let h = -1606 - -1612. Let x(s) be the third derivative of -1/300*s**h + 1/150*s**5 + 0*s + 19*s**2 + 1/30*s**4 + 0 + 0*s**3. Solve x(k) = 0.
-1, 0, 2
Let g(y) = -y**2 - 777*y - 4. Let l(j) = -9*j**2 - 6994*j - 38. Let i(o) = 19*g(o) - 2*l(o). Factor i(a).
-a*(a + 775)
Let h(x) = x**3 + x**2 + 3*x - 6. Let s(u) = -3*u**3 + 3041*u**2 - 6065*u + 3026. Let g(w) = -h(w) + s(w). Solve g(p) = 0.
1, 758
Suppose -1891*l = -1401*l - 980. Solve 2/13*g**l - 396/13*g + 19602/13 = 0 for g.
99
Let a(r) = 7 + 9 + 19*r - 16*r + 28. Let d be a(-14). Let 13*k - 7*k + 8 + 10*k**2 - 12*k**d = 0. What is k?
-1, 4
Let g(x) be the second derivative of 14*x + 1 - 1/3*x**2 + 1/18*x**4 + 0*x**3. Factor g(u).
2*(u - 1)*(u + 1)/3
Factor -3/4*w**2 + 219/4*w + 0.
-3*w*(w - 73)/4
Let u be 19/((-760)/(-16)) - 2/10. Let n(f) be the first derivative of -9/5*f**2 - 27/5*f + 11 - u*f**3. Factor n(g).
-3*(g + 3)**2/5
Let n = 413 - 287. Factor -n*w - 3*w**2 + 1323 + 8*w**2 - 9*w**2 + 7*w**2.
3*(w - 21)**2
Let v be ((-14)/(-3))/(-31 - 2700/(-81)). Solve 8/7*y**3 + 26/7*y**v - 26/7*y - 8/7 = 0.
-4, -1/4, 1
Let a be (-18)/(-3)*(-36)/(-9). Let d(k) = 9*k**3 - 7*k**2 - 2*k. Let l(x) = 44*x**3 - 36*x**2 - 8*x. Let g(o) = a*d(o) - 5*l(o). Suppose g(n) = 0. Calculate n.
0, 1, 2
Let f(s) be the third derivative of -s**8/360 - s**7/1890 - s**4/2 + 12*s**2 + 2*s. Let i(r) be the second derivative of f(r). Factor i(x).
-4*x**2*(14*x + 1)/3
Solve 84*i**2 - 64*i - 59*i**2 + 20*i**2 - 5*i**3 - 26*i = 0 for i.
0, 3, 6
Let l(i) be the third derivative of -1/24*i**6 - 31/240*i**5 + 1/280*i**7 + 0*i**3 - 96*i**2 + 0 + 0*i - 1/12*i**4. Let l(h) = 0. Calculate h.
-1, -1/3, 0, 8
Suppose -20/7*b**3 - 3/7*b**5 + 16/7*b**4 - 6/7 + 23/7*b - 10/7*b**2 = 0. Calculate b.
-1, 1/3, 1, 2, 3
Factor -1350 - 92*g**2 + 195*g + 322*g**2 - 75*g**3 + 80*g**3.
5*(g - 2)*(g + 3)*(g + 45)
Let q(o) = -2*o + 44. Let k be q(26). Let f be (2 - k) + (-64)/8. Suppose 2*m**4 + 2/7*m**5 + 44/7*m**f + 26/7*m + 36/7*m**3 + 6/7 = 0. Calculate m.
-3, -1
Let j be (-2)/(-3) - (-60)/405. Let b = j + 14/27. Factor b*k**4 + 1/3*k**5 + 2/3*k**2 + 5/3*k**3 + 0 + 0*k.
k**2*(k + 1)**2*(k + 2)/3
Let n(j) be the second derivative of -j**6/15 + 89*j**5/10 + 15*j**4 - 6342*j. Factor n(d).
-2*d**2*(d - 90)*(d + 1)
Factor 9/2*s - 1/2*s**2 + 81.
-(s - 18)*(s + 9)/2
Let r(s) = 3*s**3 - 1878*s**2 - 2844*s - 954. Let m(a) = -10*a**3 + 5639*a**2 + 8534*a + 2861. Let q(n) = -3*m(n) - 8*r(n). What is j in q(j) = 0?
-1, -1/2, 317
Let s be (3 + (-102)/30)/((-8646)/(-1485) - 6). Determine y so that -7*y**2 + 0 - 1/4*y**5 - s*y - 15/2*y**3 - 3*y**4 = 0.
-9, -1, 0
Factor 39*v**2 + 1/2*v**3 + 40 - 159/2*v.
(v - 1)**2*(v + 80)/2
Let m(k) = k**2 + 24*k + 488. Let o be m(-22). Let s = 447 - o. Find r, given that -24*r**4 - 26/3*r**2 - 2/3*r - 32*r**s + 0 = 0.
-1, -1/6, 0
Let d(h) be the second derivative of -h**7/147 - 3*h**6/35 + 31*h**5/10 + 1469*h**4/42 - 2704*h**3/7 + 8788*h**2/7 + 348*h. Solve d(t) = 0.
-13, 2, 13
Suppose m - 2*c - 22 = 12, -c = -m + 29. Factor 6*r**3 - 192*r**2 + m - 24 - 3*r**4 - 54*r**3.
-3*r**2*(r + 8)**2
Let m(z) be the third derivative of -27*z**8/448 - 75*z**7/56 + 17*z**6/40 + 67*z**5/15 - 3*z**4 - 14*z**3/3 - 12*z**2 - 100*z. What is y in m(y) = 0?
-14, -1, -2/9, 2/3
Let y be (-21660)/(-231) - (-5 - -3). Let d = y - 1044/11. Solve 0 + 2/7*o**4 + d*o**2 - 6/7*o**3 - 2/7*o = 0 for o.
0, 1
Let r be 2/60*(43/215)/(26/10). Let a(x) be the third derivative of -r*x**5 + 0 - 2*x**2 + 0*x**4 + 1/39*x**3 + 0*x. Find d, given that a(d) = 0.
-1, 1
Let z(c) be the third derivative of -c**5/40 - 35*c**4/16 + 57*c**3/2 - 1977*c**2. Factor z(o).
-3*(o - 3)*(o + 38)/2
Let f = 8157 + -8154. Let c(z) be the second derivative of -1/225*z**6 + 0*z**2 - 1/30*z**4 + 0*z**f + 0 - 2/75*z**5 + 20*z. Suppose c(t) = 0. What is t?
-3, -1, 0
Suppose 0*a = -4*a + 4*o, a - 12 = -5*o + 3*o. Find p such that -32/3*p + 0 - 1/3*p**a - 4/3*p**3 + 28/3*p**2 = 0.
-8, 0, 2
Let n(z) be the third derivative of -z**6/320 + 97*z**5/160 - 2303*z**4/64 - 2401*z**3/16 + 5887*z**2. Suppose n(s) = 0. Calculate s.
-1, 49
Let r(t) be the third derivative of t**5/12 - 365*t**4/12 + 26645*t**3/6 + 1142*t**2. Factor r(z).
5*(z - 73)**2
Factor -840*r + 124*r**2 + 81*r**2 - 535*r**2 + 119*r**2 - 1776 + 124*r**2 + 3*r**3.
3*(r - 37)*(r + 4)**2
Let l(s) = -s*