be the second derivative of -i**6/105 + 3*i**5/14 - 8*i**4/7 + 44*i**3/21 - 17*i - 3. Find d such that g(d) = 0.
0, 2, 11
Let j(c) = 2*c**4 - c**3 + c + 1. Let f(u) = 22*u**4 - 25*u**2 - 27*u + 45. Let x(n) = -4*f(n) + 36*j(n). Determine w, given that x(w) = 0.
-3, -2, 3/4, 2
Let x(w) be the second derivative of 2/3*w**4 - 11/5*w**5 + 2 + 30*w - 4*w**2 + 22/3*w**3. Factor x(o).
-4*(o - 1)*(o + 1)*(11*o - 2)
Let v(z) be the second derivative of 3/35*z**5 + 1/98*z**7 - 1/14*z**6 + 0*z**2 + 1 + 0*z**3 - 11*z + 0*z**4. What is s in v(s) = 0?
0, 1, 4
Let l(a) be the first derivative of -4*a**3/21 + 12*a**2 + 940*a/7 + 12655. Factor l(x).
-4*(x - 47)*(x + 5)/7
Let w(h) be the first derivative of 7*h**4/10 + 64*h**3/15 - 68*h**2/5 - 96*h/5 + 1913. Factor w(s).
2*(s - 2)*(s + 6)*(7*s + 4)/5
Let i(c) = -11*c**3 - 1220*c**2 - 10*c + 1220. Let g(w) = -4*w**3 - 610*w**2 - 5*w + 610. Let x(a) = 7*g(a) - 3*i(a). Factor x(f).
5*(f - 122)*(f - 1)*(f + 1)
Suppose 0 = 2*u - 4 - 2. Suppose -u*k - 18 = -60. Find m such that 3*m**2 + k - 5 - 3*m - 9 = 0.
0, 1
Let x(i) = i + 3 - i - i**3 - 192466*i**2 + 192496*i**2. Let o be x(30). Suppose -15/7*f**2 - 3/7*f**o - 3 + 39/7*f = 0. Calculate f.
-7, 1
Let p = 11430 - 548621/48. Let a = p + 71/144. Factor -10/9*l - a - 2/9*l**2.
-2*(l + 1)*(l + 4)/9
Let s(y) = 11*y - 27 + 11 + 3*y - 4*y**3 + 22 + 2*y**2. Let u(i) = -3*i**3 + 3*i**2 + 10*i + 5. Let k(q) = 5*s(q) - 6*u(q). Let k(n) = 0. What is n?
-5, 0, 1
Let w(r) be the first derivative of r**3/3 - 44*r**2/3 + 29*r/3 + 3925. Factor w(a).
(a - 29)*(3*a - 1)/3
Let l be (-58)/(-29) - (-422)/(-216). Let a(o) be the third derivative of -6*o**2 + 0 - 1/27*o**3 - l*o**4 - 2/135*o**5 + 0*o. Find j such that a(j) = 0.
-1, -1/4
Let z(t) be the third derivative of t**8/20160 + t**7/1008 + t**5/30 + 2*t**3/3 + 101*t**2. Let j(x) be the third derivative of z(x). Factor j(o).
o*(o + 5)
Let p be (-198)/231*(-3)/18*21. Suppose 2/17*r**2 - 10/17*r - 2/17 + 10/17*r**p = 0. Calculate r.
-1, -1/5, 1
Let 1447*i**2 + 90 - 108*i**3 - 802*i**2 + 101*i**3 + 232*i**3 - 12*i**5 + 507*i - 8*i**4 - 7*i**4 = 0. What is i?
-3, -2, -1, -1/4, 5
Let h(c) be the third derivative of -c**6/660 - c**5/22 + 39*c**4/44 - 63*c**3/11 + 420*c**2. Solve h(i) = 0 for i.
-21, 3
Let v(y) be the first derivative of -y**6/210 - 13*y**5/105 - 8*y**4/7 - 24*y**3/7 + 45*y**2/2 - 48. Let m(n) be the second derivative of v(n). Solve m(c) = 0.
-6, -1
Let j(a) be the third derivative of 0 - 49*a**2 - 1/12*a**5 + 0*a - 40/3*a**3 - 5/3*a**4. Solve j(m) = 0.
-4
Let y = 1687 + -1013. Let j = -6739/10 + y. Factor 1/5*k**2 - j*k**3 + 1/10*k - 1/5.
-(k - 2)*(k - 1)*(k + 1)/10
Let n = 294983/46879 + -45/6697. Factor 4/7*i**3 + 92/7*i + n + 52/7*i**2.
4*(i + 1)**2*(i + 11)/7
Let -3/7*u**4 - 246/7*u**3 - 46875 - 86250/7*u - 7200/7*u**2 = 0. Calculate u.
-25, -7
Suppose -3*l - 3*i + 22 = 2*i, 4*i - 8 = 0. Let v = 2627/18193 - 4/2599. What is j in 1/7*j**l + 0 + 0*j**2 + 0*j - v*j**3 = 0?
0, 1
Let a(i) be the third derivative of 11449*i**5/690 - 642*i**4/23 + 432*i**3/23 - 1066*i**2 + 2*i + 3. Factor a(o).
2*(107*o - 36)**2/23
Let x(q) = 16*q**2 - 1335*q - 2674. Let s(c) = -22*c**2 + 1336*c + 2680. Let h(v) = 3*s(v) + 4*x(v). Factor h(r).
-2*(r + 2)*(r + 664)
Let f(l) = -l**2 + 14*l + 44. Let r(a) = 3 - 15*a - 23 - 25. Let h(d) = 5*f(d) + 4*r(d). Factor h(o).
-5*(o - 4)*(o + 2)
Let y = -59384/3 + 19582. Let k = y + 1492/7. Factor k - 2/21*x**2 - 8/21*x.
-2*(x - 1)*(x + 5)/21
Let s(t) be the third derivative of 0*t**3 + 0*t + 7/160*t**6 - 1/560*t**7 + 2*t**2 - 3/896*t**8 - 1/8*t**4 + 1/40*t**5 - 82. Suppose s(i) = 0. What is i?
-2, -1, 0, 2/3, 2
Let f(g) be the third derivative of 1/260*g**6 + 0*g - 7/156*g**4 - 44*g**2 + 2/1365*g**7 - 1/130*g**5 - 1/13*g**3 + 0. Factor f(w).
2*(w + 1)**3*(2*w - 3)/13
Let o(u) = -u + 62. Let g be o(15). Suppose g = 20*m + 7. Factor 0*z**m + 0*z + 0 - 4*z**4 - 20/3*z**3.
-4*z**3*(3*z + 5)/3
Suppose -3*b = 2*q - 23, 3*q - 3*b - 8 + 11 = 0. Let 124*y**4 + 125*y**q - 12 + 7*y + 5*y**5 + 26*y**2 - 12*y**3 - 263*y**4 = 0. Calculate y.
-1, 4/5, 1, 3
Let z(d) = -57*d**4 - 64*d**3 + 11*d**2 + 306*d + 180. Let r(j) = -520*j**4 - 575*j**3 + 100*j**2 + 2755*j + 1620. Let g(b) = 6*r(b) - 55*z(b). Factor g(m).
5*(m - 2)*(m + 3)**2*(3*m + 2)
Let r(z) = 12*z**3 - 33*z**2 - 114*z - 81. Let w(i) = i**3 - i**2 + 3*i + 6. Let u(l) = r(l) + 12*w(l). Suppose u(n) = 0. What is n?
-1, -1/8, 3
Let a be 176/(-3) + (-2)/6. Let u = 62 + a. Factor -13*c**3 + u*c**2 + 17*c**3 - 7*c**3.
-3*c**2*(c - 1)
Let w(l) = 2*l**2 - 9*l + 40. Let q(r) be the first derivative of r**3/3 - 5*r**2/2 + 20*r - 73. Let g(c) = -9*q(c) + 4*w(c). Find y, given that g(y) = 0.
4, 5
Determine q, given that 1296/7 + 4/7*q**2 - 340/7*q = 0.
4, 81
Let g = -218 + 221. Let q be (1815/20)/11 - (-9)/(-12). Let 15 - 45/4*i**2 + q*i**g - 5/4*i**4 - 5*i = 0. Calculate i.
-1, 2, 3
Let r(g) = -20*g**2 - g - g**4 + 6*g**4 + 2*g**3 - 3*g**4 - 25*g. Let b(n) = 4*n**4 + 4*n**3 - 41*n**2 - 52*n + 2. Let j(v) = 6*b(v) - 13*r(v). Factor j(t).
-2*(t - 3)*(t + 1)**2*(t + 2)
Suppose 13*y + 672 = 17*y. Let b be 1/(-2) + (-14)/y*-42. Determine q, given that -1/4 + 1/4*q**2 + 1/4*q**b - 1/4*q = 0.
-1, 1
Let g(f) be the third derivative of -f**7/70 - 2159*f**6/40 - 77652*f**5 - 46461600*f**4 + 186624000*f**3 + 2464*f**2. Solve g(n) = 0 for n.
-720, 1
Suppose 73*n - 4*r - 24 = 69*n, 24 = 2*n + r. Let -1/2*p**3 + n + 8*p + 1/2*p**2 = 0. Calculate p.
-2, 5
Solve 6 + 6*t - 3/2*t**3 - 3/2*t**2 = 0.
-2, -1, 2
Factor 110*l + 6050 + 1/2*l**2.
(l + 110)**2/2
Let f(t) be the first derivative of t**7/420 + t**6/180 - t**5/60 - t**4/12 + 11*t**3 + t**2 + 50. Let g(i) be the third derivative of f(i). Factor g(d).
2*(d - 1)*(d + 1)**2
Let r be 1/(-2)*(-6 + -13 + 9). Let f(j) be the second derivative of 1/3*j**4 - r*j - 1/10*j**5 - 1/3*j**3 + 0 + 0*j**2. Determine w so that f(w) = 0.
0, 1
Let w = -1042390 + 5211968/5. Find x such that -w*x**3 - 22/15*x**4 - 2*x**2 + 4/5 + 14/15*x = 0.
-1, 6/11
Let o = -2219/1465 - -561/293. Solve 0 + 36/5*s - o*s**2 = 0 for s.
0, 18
Solve -248*l**2 + 7688*l + 807*l**3 + 888*l**3 - 1693*l**3 = 0.
0, 62
Let o be (54/81)/((-11)/194*-16). Let p = o - 3/44. Factor 0*l + 2/3*l**2 - p.
2*(l - 1)*(l + 1)/3
Find i such that 2652*i - 867 - 213/4*i**4 + 4089/4*i**3 - 11019/4*i**2 + 3/4*i**5 = 0.
1, 34
Let r(b) = 8*b**3 + 3*b**2 - 2*b - 15. Let g(n) = -2*n**3 - 2*n**2 + n + 5. Let l(s) = -6*g(s) - 2*r(s). Factor l(t).
-2*t*(t - 1)*(2*t - 1)
Factor 0 - 187/5*u + 1/5*u**2.
u*(u - 187)/5
Solve -1627 + 1344*d - 16*d**2 + 287 + d**2 + 11*d**2 = 0 for d.
1, 335
Let x(c) = -c**3 + 3*c**2 + 3*c + 2. Let r be x(4). Let u be (6/16*-2)/(r/8). Factor -f**u - 9*f**3 + 5*f**5 + 156*f - 151*f.
5*f*(f - 1)**2*(f + 1)**2
Let h = -13879/259 - -1988/37. Factor 0 - 2/7*y + h*y**2.
y*(y - 2)/7
Let a = 242 - 238. Suppose 2*q - 30*q**3 + 65*q**4 - 137*q**a + 4*q**2 + 0*q**2 = 0. What is q?
-1/3, 0, 1/4
Determine g, given that 48750*g + 325/2*g**3 + 24125/4*g**2 + 112500 + 5/4*g**4 = 0.
-60, -5
Determine c, given that 6*c**2 + 6734247*c**3 + 4*c**4 + 366*c**2 - 6734111*c**3 = 0.
-31, -3, 0
Suppose -p + 9 = 0, -5*p - 68 = -3*r - 107. Let c(g) be the first derivative of 0*g**r - 3/14*g**4 - 18 - 1/21*g**6 - 8/35*g**5 + 0*g**3 + 0*g. Factor c(q).
-2*q**3*(q + 1)*(q + 3)/7
Let k(b) = -120*b**3 - 540*b**2 - 1768*b - 1140. Let t(r) = 7*r**3 + 32*r**2 + 104*r + 67. Let c(m) = -3*k(m) - 52*t(m). Determine n, given that c(n) = 0.
-8, -2, -1
Let q(u) be the third derivative of 76*u**5/35 - 73*u**4/42 - 2*u**3/21 + 939*u**2 + u. Factor q(k).
4*(3*k - 1)*(76*k + 1)/7
Suppose -c + 11 - 12 = h, -20 = -4*c + 4*h. Let 0 + 0*m**c - 3/2*m**4 - 9/2*m**3 + 0*m = 0. What is m?
-3, 0
Determine u, given that 38/7*u**3 - 4/7*u**2 + 0*u + 0 - 88/7*u**4 = 0.
0, 2/11, 1/4
Let t be ((-10)/5)/(3 + 358/(-118)). Factor 528*h**2 - 533*h**2 - 70*h - 49*h - 27*h - t*h.
-5*h*(h + 41)
Suppose 0 = -4*f - 2*p - 476, 0*f + 5*f - 2*p = -595. Let l = f - -122. Solve -22*c**2 + 7*c**2 + 5*c**2 + 2*c**l + 8*c = 0.
0, 1, 4
Let j be 24/(-112)*(23 + -25). Determine w, given that 0 + 6/7*w**4 - j*w**5 + 3/7*w - 6/7*w**2 + 0*w**3 = 0.
-1, 0, 1
Let o(r) be the third derivative of 11/8*r**4 - 4*r + 7*r**2 - 15*r**3 - 1/20*r**5 + 0. Factor o(m).