ive of -n**7/1155 + n**6/110 - 3*n**5/110 + n**4/33 + 4*n**2 + n + 29. Let h(u) be the second derivative of x(u). Factor h(i).
-2*i*(i - 4)*(i - 1)**2/11
Suppose -17*o + 420 = -2113. Suppose -1596*j**2 - 11*j**3 + 1272 - 4*j**4 - o*j**3 + 160*j + 328 = 0. Calculate j.
-20, -1, 1
Let r = 970 - 4874/5. Let x = r - -82/15. Determine d, given that x + 2/3*d**2 - 4/3*d = 0.
1
Let p = 118 - 98. Solve 20*k - 3*k - 48*k**2 + 13*k**3 - 2 + p*k**2 = 0.
2/13, 1
Let z be (672/(-27))/((-9)/126). Let q = z - 348. Factor 1/9*n**2 + q + 5/9*n.
(n + 1)*(n + 4)/9
Let n(c) = 7*c**3 + 5*c**2 - 2*c. Suppose -2*i - 6*u = -2*u - 24, -4*u + 12 = -4*i. Let l(t) = 3*t**3 + 2*t**2 - t. Let w(k) = i*n(k) - 5*l(k). Factor w(d).
-d*(d - 1)*(d + 1)
Let w(z) = -2*z**2 + 13*z - 16. Let t be -4 - 6/(-3) - (-2 - 2). Let s be w(t). Let 1/4*n**s + 1/4 - 1/2*n = 0. Calculate n.
1
Let o(y) be the third derivative of y**6/40 - 23*y**5/20 - 3*y**4 + 5643*y**2. Suppose o(w) = 0. Calculate w.
-1, 0, 24
Factor -751/2 + 1/4*d**2 - 1501/4*d.
(d - 1502)*(d + 1)/4
Let t(d) be the second derivative of d**4/60 + 931*d**3/30 - 466*d**2/5 - 2*d + 3238. Determine v so that t(v) = 0.
-932, 1
Let f(k) be the first derivative of -1/3*k**3 - 40*k - 194 + 41/2*k**2. Factor f(b).
-(b - 40)*(b - 1)
Suppose -303*s = -308*s + 10. Suppose -7 = -2*t + 2*b - b, t + b = s. Determine v, given that 2 + 2/3*v - 2/3*v**t - 2*v**2 = 0.
-3, -1, 1
Factor 57*m - 3*m**2 - 766 + 1285 - 729.
-3*(m - 14)*(m - 5)
Let s(a) be the third derivative of -a**8/84 - 4*a**7/105 + 3*a**6/10 + 14*a**5/15 - 10*a**4/3 - 16*a**3 - 304*a**2 - a. Let s(k) = 0. What is k?
-3, -2, -1, 2
Let w = -871845/4 + 217963. Determine v so that 1/4*v**2 + 3 + w*v = 0.
-4, -3
Let y(f) be the third derivative of -f**8/1176 - 23*f**7/735 - 8*f**6/21 - 10*f**5/7 - 4240*f**2. Factor y(u).
-2*u**2*(u + 3)*(u + 10)**2/7
Let o = -367674/11 + 1838777/55. Solve -4*b**2 - 18/5 - 1/5*b**3 - o*b = 0 for b.
-18, -1
Let k(i) = 10*i**5 - 8*i**4 + 8*i**3 + 2*i**2 - 6. Let n = 31 + -19. Let u(l) = 2*l**5 - l**4 + l**3 - 1. Let h(v) = n*u(v) - 2*k(v). Solve h(y) = 0 for y.
-1, 0, 1
Let h(t) be the third derivative of 0*t - 1/90*t**5 - 40*t**2 + 0 - 1/18*t**3 + 1/720*t**6 + 5/144*t**4. Solve h(l) = 0.
1, 2
Let w(d) be the third derivative of 49*d**6/120 + 126*d**5/5 + 423*d**4/8 + 45*d**3 + d**2 + 33*d - 3. Factor w(l).
(l + 30)*(7*l + 3)**2
Let i(y) = -y**3 + 104*y**2 + 2115*y - 24202. Let j(k) = k**3 - k**2 + 15*k + 1. Let n(g) = 3*i(g) + 6*j(g). Factor n(f).
3*(f - 8)*(f + 55)**2
Let a(n) be the first derivative of 2*n**3/45 - 46*n**2/15 + 82*n/3 + 371. Factor a(u).
2*(u - 41)*(u - 5)/15
Suppose 92 = -6*o + 632. Suppose o = 4*d - 50. Factor -7 - 43 - 236*l + 51*l - d*l**2.
-5*(l + 5)*(7*l + 2)
Let m = 172691 + -172689. Find u such that 18/7*u + 2/7*u**m + 16/7 = 0.
-8, -1
Let i be 36/(-54) + (-7019)/(-3). Let -4*m**2 - 180 - 1204 - i - 232*m + 359 = 0. What is m?
-29
Let i(t) be the third derivative of -t**6/30 - 121*t**5/5 - 181*t**4/3 - 13229*t**2. Factor i(f).
-4*f*(f + 1)*(f + 362)
Let u(m) be the first derivative of m**6/1080 + 19*m**5/60 + 361*m**4/8 - 54*m**3 + 230. Let k(j) be the third derivative of u(j). Factor k(g).
(g + 57)**2/3
Let k(b) = 59*b + 354. Let j be k(-6). Suppose q = a - 4, j = -5*a + 3*q + 2 + 10. Factor 0 + 0*m**2 - 2/7*m**5 + a*m - 2/7*m**4 + 0*m**3.
-2*m**4*(m + 1)/7
Let m(o) be the second derivative of o**6/6 + 17*o**5 + 485*o**4/2 - 48790*o**3/3 + 411845*o**2/2 - 2363*o. Let m(j) = 0. Calculate j.
-41, 7
Let a(k) be the second derivative of 11/9*k**3 - 2*k - 2/9*k**4 - 2*k**2 - 1/30*k**5 + 3. Factor a(r).
-2*(r - 1)**2*(r + 6)/3
Let l(w) be the third derivative of w**7/420 - 3*w**6/40 + 19*w**5/40 - w**4/6 - 7*w**3 + 2620*w**2. Determine d, given that l(d) = 0.
-1, 2, 3, 14
Let p = -1205123 + 1205123. Suppose 0*o**2 + p - 10/7*o**5 + 0*o - 16/7*o**4 + 8/7*o**3 = 0. Calculate o.
-2, 0, 2/5
Suppose 9 = -4*k + 17. Factor 35*u**k + 11*u - 33*u**2 - 31*u + 50.
2*(u - 5)**2
Let z(r) be the second derivative of 2/21*r**7 - 1/5*r**5 + 0*r**3 + 0 + 0*r**2 - 85*r - r**4 + 2/5*r**6. Factor z(q).
4*q**2*(q - 1)*(q + 1)*(q + 3)
Let a(r) be the first derivative of -r**6/72 - 5*r**5/24 - 5*r**4/6 + 62*r**3/3 - 131. Let d(n) be the third derivative of a(n). What is i in d(i) = 0?
-4, -1
Let s(d) be the first derivative of -2*d**5/75 + 4*d**4/5 + 194*d**3/45 - 1164*d**2/5 - 2376*d/5 + 4808. Solve s(i) = 0.
-11, -1, 18
Suppose -68*a + 109 = -163. Let c(j) be the third derivative of 1/6*j**5 + 11/12*j**a - 13*j**2 + 0*j + 0 + 2/3*j**3. Suppose c(r) = 0. Calculate r.
-2, -1/5
Suppose 336/5 - 62/5*v + 2/5*v**2 = 0. What is v?
7, 24
Suppose 0 = -6*f - 27 + 39. Suppose 5*r = m + 22, -8*r = -5*r + 5*m - f. Find z, given that -2/9*z**r - 4/3*z**5 + 2/9*z**2 + 14/9*z**3 + 0 - 2/9*z = 0.
-1, -1/2, 0, 1/3, 1
Solve -80 - 1/2*o**2 + 161/2*o = 0.
1, 160
Let o be 2/(-7) - ((-558)/42 - -3). Let g be 105/12*-2*4*(-48)/448. Find x such that g*x**2 + 35/4*x - 15/4*x**5 - o*x**4 + 5/2 - 5*x**3 = 0.
-1, -2/3, 1
Let r(j) be the third derivative of -j**7/735 + j**6/14 - 65*j**5/42 + 125*j**4/7 - 2500*j**3/21 + 8*j**2 + 2*j. Factor r(s).
-2*(s - 10)**2*(s - 5)**2/7
Let i be (-40)/(-19) + ((-70434)/1634 - -43). Find o such that -126/5*o - 4 + 26/5*o**i = 0.
-2/13, 5
Let n be (0 + 8/(-3))/(996/(-1494)). Suppose 19 = d - n*c, 0 = 3*c - 41 + 53. Find j such that -2*j**2 + 32/7 + 16/7*j + 2/7*j**d = 0.
-1, 4
Solve 372*w + 54*w**2 + 376 + 49*w**2 - 107*w**2 = 0.
-1, 94
Let r(f) = -7*f - 1. Let t = -15 - -12. Let d be r(t). Solve w + 2*w**4 + 2*w**4 - 2*w + 28*w**2 - d*w**3 - 11*w = 0 for w.
0, 1, 3
Factor 12 + 34/5*n + 2/5*n**3 - 24/5*n**2.
2*(n - 10)*(n - 3)*(n + 1)/5
Suppose -373 = 60*r - 673. Let n(w) be the third derivative of 0*w + 20/3*w**3 + 0 - 7/30*w**6 + 9/2*w**4 + 17*w**2 - 2*w**r. Determine p, given that n(p) = 0.
-5, -2/7, 1
Suppose 335 + 577 = 636*n - 180*n. Let -12/17 - 2/17*y**n + 14/17*y = 0. Calculate y.
1, 6
Let z = 198/7 - 28. Let d be ((-2)/20*12)/(21/(-70)). Find l such that -2/7*l + z*l**5 + 0 + 4/7*l**2 - 4/7*l**d + 0*l**3 = 0.
-1, 0, 1
Let x = 285 + -853/3. Let i(t) be the second derivative of 0 + 4/15*t**6 - x*t**4 + 0*t**2 + 0*t**5 - 6*t - 2/3*t**3 + 2/21*t**7. Solve i(g) = 0 for g.
-1, 0, 1
Factor 0 + 176/5*m + 2/5*m**2.
2*m*(m + 88)/5
Let y(q) be the second derivative of q**6/1980 + q**5/330 - q**4/44 + 7*q**3/3 + 3*q**2/2 + 43*q. Let w(u) be the second derivative of y(u). Factor w(b).
2*(b - 1)*(b + 3)/11
Let s be (-90)/(-24)*(-24)/9. Let d(n) = -n**3 + n**2. Let x(v) = v**4 + 6*v**3 - 3*v**2 - 4*v. Let j(f) = s*d(f) - 5*x(f). Let j(q) = 0. Calculate q.
-4, -1, 0, 1
Solve 11465683*k + 298339*k - 11328147138 - 22785*k**2 + 2*k**3 + 22846393*k + 3*k**3 - 6196259657 = 0.
1519
Let p(y) be the third derivative of y**6/24 - 23*y**5/2 - 695*y**4/24 - 63*y**2 - 2. Find m, given that p(m) = 0.
-1, 0, 139
Let g(l) be the third derivative of l**6/120 - l**5/60 + 2*l**2 + 30*l. Let u(f) = 4*f**4 + 19*f**3 + 17*f**2 + 8*f. Let o(i) = 3*g(i) - u(i). Factor o(d).
-4*d*(d + 1)**2*(d + 2)
Let v = 2/3749 - -3717/59984. Let r(n) be the second derivative of 0 - 3/2*n**2 - 18*n - 1/2*n**3 - v*n**4. Let r(s) = 0. Calculate s.
-2
Let u(y) = -7*y**2 + 204*y - 350. Let i(n) = -n**2 - 2*n + 13. Let p(s) = -6*i(s) + u(s). Suppose p(g) = 0. What is g?
2, 214
Let x(v) be the first derivative of 8/25*v**5 + 237 + 13/5*v**4 - 1/15*v**6 + 16/5*v + 31/5*v**2 + 88/15*v**3. Determine s, given that x(s) = 0.
-1, 8
Let i(m) be the third derivative of -2*m**7/105 + 47*m**6/15 - 233*m**2 - 8. Determine j so that i(j) = 0.
0, 94
Let o(a) be the third derivative of -3*a**6/80 + 34*a**5/15 - 113*a**4/4 + 24*a**3 + 2101*a**2. What is j in o(j) = 0?
2/9, 6, 24
Let a(i) be the second derivative of -i**7/17640 - i**6/45 - 56*i**5/15 + 56*i**4/3 + 45*i - 1. Let d(u) be the third derivative of a(u). Factor d(m).
-(m + 56)**2/7
Let n(x) = -6*x - 121. Let z be n(-23). Suppose 2*g + a - 22 = -3*a, -z = -4*g + a. Factor g*b - 5/3*b**2 + 0.
-5*b*(b - 3)/3
Let o(g) be the second derivative of -g**7/42 - 8*g**6/15 - 27*g**5/20 + 62*g**4/3 - 38*g**3/3 - 168*g**2 + 4718*g. Determine w so that o(w) = 0.
-12, -7, -1, 2
Let s(l) = -3*l**3 + 45*l**2 + 92*l - 325. Let y(m) = 4*m**3 - 46*m**2 - 94*m + 322. Le