ative of z**7/2100 + z**6/900 - z**5/300 - z**4/60 + 5*z**3 + z + 9. Let l(k) be the second derivative of b(k). Factor l(j).
2*(j - 1)*(j + 1)**2/5
Let f = 3441627/239005 + 9/47801. Factor 87/5*o - 3/5*o**3 + f + 12/5*o**2.
-3*(o - 8)*(o + 1)*(o + 3)/5
Let b(f) be the third derivative of f**8/84 + 6*f**7/35 + 13*f**6/30 - 3*f**5/5 - 7*f**4/3 + 980*f**2 - f + 1. Suppose b(o) = 0. Calculate o.
-7, -2, -1, 0, 1
Let k(p) be the first derivative of 8*p**3/21 - 313*p**2/7 + 618*p/7 + 2314. Determine r so that k(r) = 0.
1, 309/4
Solve -4*o**2 + 784/5 - 6/5*o**3 + 616/15*o = 0.
-14/3, 6
Factor 0*z**2 + 2/7*z**3 + 40/7 - 6*z.
2*(z - 4)*(z - 1)*(z + 5)/7
Let x be 10 + 7/1 + -3. Suppose 2 = -g - n, 14*n = -g + 10*n - x. What is l in -g + 2/7*l**2 + 12/7*l = 0?
-7, 1
Let n(u) be the second derivative of u**4/6 - 25*u**3/3 + 84*u**2 - 1229*u. Factor n(s).
2*(s - 21)*(s - 4)
Factor 164736*b + 101672*b**3 - 4*b**4 - 102816*b**3 - 71034*b**2 - 9610*b**2 - 82944.
-4*(b - 1)**2*(b + 144)**2
Let o(t) be the second derivative of t**4/36 + 232*t**3/9 + 463*t**2/6 + 523*t - 3. Factor o(n).
(n + 1)*(n + 463)/3
Let r be 1*(-39 + 34 - (-14)/4) + (-402)/(-36). Factor -31/3*k**2 + 59/3*k - r + 1/3*k**3.
(k - 29)*(k - 1)**2/3
Let 405/2*k**5 + 2221*k**3 + 256 - 256*k - 2583/2*k**4 - 1132*k**2 = 0. What is k?
-2/5, 8/9, 1, 4
Let h(b) = 3*b**3 - 338*b**2 - 1793*b - 2192. Let f(n) = 5*n**3 - 675*n**2 - 3585*n - 4385. Let x(p) = 2*f(p) - 5*h(p). Determine t so that x(t) = 0.
-3, -2, 73
Let h(d) be the second derivative of 2*d**5/25 - 1619*d**4/30 + 2819*d**3/15 + 806*d**2/5 - 2*d + 55. Suppose h(w) = 0. What is w?
-1/4, 2, 403
Let m(f) be the third derivative of f**5/30 + 1259*f**4/6 + 839*f**3 - 4*f**2 + 747. Factor m(z).
2*(z + 1)*(z + 2517)
Let v(h) = 5*h**5 + 34*h**4 - 12*h**3 + 9*h - 9. Let f(o) = 20*o**5 + 135*o**4 - 50*o**3 + 35*o - 35. Let t(y) = 9*f(y) - 35*v(y). Factor t(i).
5*i**3*(i - 1)*(i + 6)
Let i(g) be the first derivative of -2*g**3/3 + 119*g**2 - 2522. Suppose i(f) = 0. Calculate f.
0, 119
Let x(t) be the first derivative of t**5/30 - 27*t**4/8 + 100*t**3/3 - 292*t**2/3 + 3958. Factor x(s).
s*(s - 73)*(s - 4)**2/6
Let q(f) = 30*f**2 - 66*f - 2337. Let t be q(10). What is m in -2/15*m - 2/5*m**2 + 2/5 + 2/15*m**t = 0?
-1, 1, 3
Suppose 0 = -3*i + 4*v, 101*i - 104*i - 4*v + 24 = 0. Suppose -2*j = a, -2*a + 5*a + j = 5. Factor 5 + 17*k**a + 20*k - 4*k**3 + 3 - 3*k**4 - 5*k**2 - k**i.
-4*(k - 2)*(k + 1)**3
Let j = 3293/3 - 1046. Let n(t) be the first derivative of 95/4*t**4 - j*t**3 - 4 - 15/2*t**2 - 3*t**5 + 90*t. Let n(z) = 0. Calculate z.
-2/3, 1, 3
Let r(p) be the second derivative of -p**5/90 - 19*p**4/54 + 26*p**3/27 + 40*p**2/3 + p - 4125. Factor r(o).
-2*(o - 3)*(o + 2)*(o + 20)/9
Solve -4195*s - 18798906 - 13256214 - 21125*s - 5*s**2 = 0 for s.
-2532
Let n be (4 - 1)*155*4/60. Suppose 0 = n*h - 20*h - 44. Factor 6/7*a**3 - 2/7*a**h + 0 + 0*a - 4/7*a**2.
-2*a**2*(a - 2)*(a - 1)/7
Let a(j) be the second derivative of -j**4/4 - 391*j**3 - 458643*j**2/2 + 899*j. Factor a(y).
-3*(y + 391)**2
Let j(d) be the second derivative of 1/30*d**4 + 0*d**2 + 0*d**3 - 47*d + 0. Find b such that j(b) = 0.
0
Let g(v) be the first derivative of v**6/18 - 4*v**5/15 - v**4/2 + 4*v**3/9 + 5*v**2/6 - 159. Factor g(l).
l*(l - 5)*(l - 1)*(l + 1)**2/3
Let b(q) be the second derivative of -q**4/48 + 158*q**3/3 - 49928*q**2 + 277*q + 4. Let b(z) = 0. Calculate z.
632
Let s be -3 - 360/16*(-4)/5. Factor -9*v**2 + s*v**3 - 6*v**5 + 3*v**5 - 41 - 3*v**4 + 41.
-3*v**2*(v - 1)**2*(v + 3)
Let k be 4 + ((-8)/10)/((-42)/(-30) + 46 + -47). Factor 3/5*o**3 + 13/5*o**k - 1 - 11/5*o.
(o - 1)*(o + 5)*(3*o + 1)/5
Let o(b) = -b**3 - 2*b**2 - 2*b. Let m(i) = i**5 + 11*i**4 + 42*i**3 + 75*i**2 + 48*i. Let u(t) = -5*m(t) + 15*o(t). Solve u(c) = 0.
-3, -2, 0
Suppose 10611304463*q + 18026228*q**2 + 11082210552*q + 5*q**4 - 43547031370 + 24485*q**3 + 21925117*q**2 = 0. Calculate q.
-1633, 2
Let d(b) be the third derivative of 7*b**2 - 11/90*b**6 - 2/9*b**4 - 2/105*b**7 + 0*b**3 - 4/15*b**5 + 0 + 0*b. What is z in d(z) = 0?
-2, -1, -2/3, 0
Let x(g) be the third derivative of g**6/30 - 16*g**5/15 - 35*g**4/2 - 132*g**2 - 5*g + 1. Factor x(h).
4*h*(h - 21)*(h + 5)
Let h = 70 + -66. Factor 13*m**3 - 36*m + 2*m**4 - 3*m**2 - h*m**3 - 3*m**2 - 3*m**3 + 2*m**3.
2*m*(m - 2)*(m + 3)**2
Let u(x) = x**2 + 12*x - 83. Let g be u(5). Suppose 0 + 8/7*r + 44/7*r**g = 0. Calculate r.
-2/11, 0
Let z = -73 - -41. Let f = z - -62. Let 32 - 10*k**3 + 24*k**2 + 6*k**3 + f*k + 30*k = 0. Calculate k.
-1, 8
Let b(y) be the third derivative of 0*y**4 - 1/25*y**5 + 0 + 0*y**3 + 0*y + 0*y**6 + 107*y**2 + 1/350*y**7. Let b(j) = 0. What is j?
-2, 0, 2
Suppose 433*n + p = 435*n + 15, 0 = 4*p - 60. Factor 0*f + 0 + 10/11*f**4 - 12/11*f**3 - 2/11*f**5 + n*f**2.
-2*f**3*(f - 3)*(f - 2)/11
Suppose 4 = -13*m + 15*m. Suppose -14*j - 36*j - 56*j**m + 51*j**2 = 0. Calculate j.
-10, 0
Factor 481 - 4*k**4 + 468*k - 8*k**2 - 100*k**3 - 68*k**2 - 769.
-4*(k - 1)**2*(k + 3)*(k + 24)
Let f(l) = -6*l - 17. Let r(q) = q + 3. Let d(n) = 6*f(n) + 34*r(n). Let b(u) = -4*u**2 + 13*u + 3. Let j(s) = -b(s) - d(s). Let j(z) = 0. What is z?
-1/4, 3
Let j(o) = 7*o**3 - 713*o**2 + 2635*o + 3329. Let g(w) = -190*w**3 + 19265*w**2 - 71145*w - 89885. Let k(r) = -2*g(r) - 55*j(r). Factor k(p).
-5*(p - 133)*(p - 5)*(p + 1)
Suppose 6*w**3 - 156*w**2 + 132*w + 24 + 75/2*w**4 - 39/4*w**5 = 0. What is w?
-2, -2/13, 2
Let r(h) = -h**2 + 67*h + 324. Let f(g) be the second derivative of 0 - 17/3*g**3 + 24*g - 81*g**2. Let l(w) = -5*f(w) - 2*r(w). Suppose l(p) = 0. Calculate p.
-9
Let o be (-7374)/(-42) + -27*(-4)/12. Factor -38/7*v**3 + 429/7*v**2 - o*v + 1156/7 + 1/7*v**4.
(v - 17)**2*(v - 2)**2/7
Let o(q) = -62*q**2 + 13*q. Let v(f) = 30*f**2 - 6*f. Let p = 274 - 267. Let c(j) = p*v(j) + 3*o(j). Find a, given that c(a) = 0.
0, 1/8
Let p(t) = 8*t + 144. Let a be p(-13). Let v be 40 - a - ((-32)/(-28))/(-4). Determine i, given that 0 - v*i**2 + 8/7*i = 0.
0, 4
Let q = -531624 - -531626. Factor 0 + 2/9*n**5 + 0*n**q + 0*n + 0*n**3 + 0*n**4.
2*n**5/9
Suppose 0*v = 4*v + 2484. Let f be 4/6*v/(-9). Factor a**2 - a + 7*a - f + 46.
a*(a + 6)
Let t be ((-2)/(-3))/(-22*(-4)/528). Let i = 10 + -7. Factor -3*j**3 + 3*j**2 - j**4 + 0*j**t - 2*j**2 + 2*j**i + j**5.
j**2*(j - 1)**2*(j + 1)
Let t(v) = -4*v**2 + v. Let n(h) = 9*h**3 + 115*h**2 - 79*h. Let x(z) = n(z) + t(z). Let x(k) = 0. Calculate k.
-13, 0, 2/3
Let s(z) be the third derivative of -z**8/18 + 103*z**7/105 + 109*z**6/60 - 17*z**5/45 - 2*z**4/3 + 1585*z**2. Let s(n) = 0. Calculate n.
-1, -1/4, 0, 2/7, 12
Suppose -44*v = -2*x - 49*v + 31, 1 = -3*x + 2*v. Suppose -x*o = c - 6, -10*o + 5*o - c = -12. Factor -2/5*p**2 + 2/5*p - 2/5*p**o + 2/5.
-2*(p - 1)*(p + 1)**2/5
Let r(c) be the first derivative of -c**3 - 9*c**2 + 1560*c - 2612. Factor r(q).
-3*(q - 20)*(q + 26)
Let m(h) = -h**3 + 6*h**2 - 11*h + 37. Let r be m(5). Suppose 6*n**3 + 2*n**3 - 41*n**2 + 111*n - 32*n + 6 - r*n**3 - 45 = 0. Calculate n.
1, 39
Suppose -76*b + 63 + 165 = 0. Find h, given that 0 - 6/11*h**b + 102/11*h**2 + 0*h = 0.
0, 17
Suppose 4*i + 133 = -11. Let o = -31 - i. Determine x, given that -16*x**3 - 21*x**2 + 21*x**4 - 17*x**3 + 17*x**o + 17*x**5 + 6*x - 7*x**5 = 0.
-1, 0, 2/9, 1
Suppose 22*d - 51*d = -8*d. Solve -5/7*g - 1/7*g**2 + d = 0 for g.
-5, 0
Find x such that 276 + 46 - 51 + 1264*x**2 - 44*x**3 + 129 - 4480*x - 380*x**2 = 0.
1/11, 10
Let m be (3*8/(-16))/((-180)/24). Let m*l**2 - 8/5 + 7/5*l = 0. What is l?
-8, 1
Factor -182/5*b + 0 + 55*b**2 + 1/5*b**4 - 94/5*b**3.
b*(b - 91)*(b - 2)*(b - 1)/5
Let h(n) = 4*n**5 + n**3 - n**2 + n - 1. Let t(l) = -192*l**5 - 180*l**4 + 1254*l**3 - 86*l**2 - 186*l - 26. Let d(c) = -2*h(c) + t(c). What is i in d(i) = 0?
-3, -1/5, 1/2, 2
Suppose 2355 = 5*h - 5*y, 28*h + 4*y + 468 = 29*h. Let w = h - 3302/7. Factor 0*u**2 + 1/7 - 1/7*u**4 + w*u - 2/7*u**3.
-(u - 1)*(u + 1)**3/7
Let r(l) be the third derivative of -36*l + 0 + 13/160*l**6 + 0*l**3 - 1/24*l**7 + 2*l**2 - 1/24*l**4 + 0*l**5. Determine w so that r(w) = 0.
-2/7, 0, 2/5, 1
Let v = -41445 + 41447. Determine j so that 27/7*j - 33/7*j**v + 6/7 = 0.
-2/11, 1
Let k(h) = -h**2 + 2*h + 50. Let d be k(-6). Factor 13 - 20*n - 2*n**d - 5 + 18*n**2 + 0 -