 + 7*i**3 - 3*i**3 + 308*i**2 - 10*i**4 + 307*i**2 - 599*i**2 = 0. Calculate i.
-1, 0, 2, 4
Let d(l) be the second derivative of l**7/28 - 33*l**6/20 + 513*l**5/20 - 287*l**4/2 + 294*l**3 + 703*l. Determine h, given that d(h) = 0.
0, 2, 3, 14
Let k(f) = -9*f**3 - 2*f**2 + 2*f + 3. Let h be k(-1). Let x be (-5 + 6)*(-56 + 56). Factor 0 + x*l - 9/2*l**5 - l**2 + h*l**4 - 5/2*l**3.
-l**2*(l - 1)**2*(9*l + 2)/2
Let m = 109 + -36. Factor 2*y**3 + 38*y**2 + 649*y - m*y + 658 - 10 - 108*y**2.
2*(y - 18)**2*(y + 1)
Let w be (-1)/2 + (-133)/(-38). Factor 9*z**4 - 51*z**2 + 18*z - 26*z**3 - 15*z**3 - 21*z**w + 50*z**3.
3*z*(z - 3)*(z + 2)*(3*z - 1)
Let l be (-18)/(-27) + 212/6. Factor 3*a**2 + l*a - 32 - 18*a**2 + 0*a**2 + 11*a**2.
-4*(a - 8)*(a - 1)
Let d(c) = c**2 - 8*c - 2. Let r = 168 - 171. Let o(x) = -6*x - 3. Let h(g) = r*d(g) + 2*o(g). Determine u, given that h(u) = 0.
0, 4
Let p(g) be the second derivative of -g**7/42 - 5*g**6/6 + 11*g**5/2 - 85*g**4/6 + 115*g**3/6 - 29*g**2/2 - 1018*g. Determine j, given that p(j) = 0.
-29, 1
Let r = -55 + 59. Factor 0*s**2 - 1402*s + 2*s**r + 14*s**3 + 1402*s + 12*s**2.
2*s**2*(s + 1)*(s + 6)
Let g be 6/(-2)*37/1184. Let h = g + 43/32. Let h*t**4 - 5*t**3 + 15/2*t**2 - 5*t + 5/4 = 0. What is t?
1
Let y(l) = -2*l**2 + 34*l + 5. Let q be y(17). Factor 18 + 4*i**2 - 5 + 8 - 20*i - q.
4*(i - 4)*(i - 1)
Suppose 0*w = -5*a + 2*w + 6, -a + 12 = 5*w. Find v, given that -57*v + 562*v**a - 180 - 3*v - 567*v**2 = 0.
-6
Let l = -30 + 32. Factor 8*x + 2*x**3 + 12*x**l + x**3 + 4*x.
3*x*(x + 2)**2
Let g(y) be the first derivative of -y**6/120 + y**5/12 - y**4/3 + 2*y**3/3 - 13*y**2 - 56. Let f(n) be the second derivative of g(n). Factor f(w).
-(w - 2)**2*(w - 1)
Let g(k) be the third derivative of -k**6/120 + 11*k**5/20 - 5*k**4 + 23*k**3/3 - 32*k**2. Let l(n) be the first derivative of g(n). Factor l(o).
-3*(o - 20)*(o - 2)
Let k(q) = 5*q**3 - 7*q**2 - 90*q + 49. Let b(y) = 6*y**3 - 6*y**2 - 104*y + 48. Let z(a) = 7*b(a) - 8*k(a). Determine v so that z(v) = 0.
-7, -2, 2
Let p(h) = -1 - 2*h + 189*h**3 - 188*h**3 - 4*h**2 - 6. Let q be p(5). Factor 112*x - 104*x - 2*x**3 - 4*x**2 + 24 - q.
-2*(x - 2)*(x + 2)**2
Let r = -6924 - -6928. Let j(f) be the second derivative of 12*f - 1/18*f**r + 0 - 16/3*f**2 + 8/9*f**3. Suppose j(p) = 0. What is p?
4
Factor 11*r**2 - r**3 + 8*r**2 + 13*r**2 - 49*r**2 + 40*r + 11*r**2.
-r*(r - 4)*(r + 10)
Let m(v) be the second derivative of 22/13*v**3 - 9 - 1089/13*v**2 - 12*v - 1/78*v**4. Determine i so that m(i) = 0.
33
Let w be (-41)/82*(-22 + 14). Determine h so that -4/3*h**2 - 28/3*h**3 - 2/3*h**5 + 10*h + 6*h**w - 14/3 = 0.
-1, 1, 7
Let j(d) be the first derivative of d**3/15 + 699*d**2/10 - 2106*d/5 - 9788. Factor j(t).
(t - 3)*(t + 702)/5
Let r = -2874 - -2876. Let b(d) be the first derivative of 16/5*d + 17 + 4/25*d**5 + 52/15*d**3 - 24/5*d**r - 6/5*d**4. Factor b(k).
4*(k - 2)**2*(k - 1)**2/5
Suppose -173*x - 15009*x**2 + 7505*x**2 + 111*x - 178*x + 7509*x**2 = 0. What is x?
0, 48
Let m(y) be the first derivative of -y**7/420 - y**6/36 + y**5/60 + 5*y**4/12 - 169*y**3/3 - 50. Let q(c) be the third derivative of m(c). Factor q(d).
-2*(d - 1)*(d + 1)*(d + 5)
Find x, given that 198085 - 9*x**2 - 3*x**3 + 228*x + 198540 - 397021 = 0.
-11, 2, 6
What is k in -28 - 6*k + 40/9*k**2 + 2/9*k**3 = 0?
-21, -2, 3
Let k = -250/121 + -54555/242. Let s = 228 + k. Factor -3/4*w + s + 1/4*w**2.
(w - 2)*(w - 1)/4
Let d(p) = -45*p**2 + 1015*p - 2020. Let b(x) = -53*x**2 + 1014*x - 2020. Let a(n) = 5*b(n) - 6*d(n). Factor a(v).
5*(v - 202)*(v - 2)
Let g(m) = -4*m + 7*m**2 - m**2 - 3 - 3*m**2 - 2*m**2. Let k be g(5). Factor 0*w - 16*w**k + 7*w**2 + w - 7*w.
-3*w*(3*w + 2)
Let y = 9994/16653 + -748/2379. Factor y*b**2 - 48/7*b + 46/7.
2*(b - 23)*(b - 1)/7
Let o = 11168 - 167519/15. Let w(r) be the third derivative of 0 - o*r**5 - 13*r**2 + 2*r**3 - 1/3*r**4 + 0*r. Solve w(t) = 0.
-3, 1
Let z(r) be the first derivative of r**5/10 - 7*r**3/3 + 6*r**2 - 21*r - 44. Let y(l) be the first derivative of z(l). Factor y(q).
2*(q - 2)*(q - 1)*(q + 3)
Let t(g) = -54*g**3 - 351*g**2 - 2805*g + 33. Let f(o) = -23*o**3 - 151*o**2 - 1202*o + 14. Let b(m) = 33*f(m) - 14*t(m). Solve b(q) = 0.
-12, -11, 0
Let d(p) be the first derivative of p**6/120 + 19*p**5/40 + 17*p**4/4 - 94*p**3/3 + 6. Let v(q) be the third derivative of d(q). Factor v(l).
3*(l + 2)*(l + 17)
Let m be (1 - (9 + -12))*((-3)/(-8) - (-3094)/624). Determine a so that -32/3 + 2/3*a**4 - 2*a**5 + 40/3*a**3 - m*a + 0*a**2 = 0.
-2, -1, -2/3, 2
Let q be (-13 - -17)*(79/(-39) + 2). Let k = q + 10/13. Factor -k*h**4 + 0*h - 4/3*h**3 + 0*h**2 + 0.
-2*h**3*(h + 2)/3
Let u(v) be the second derivative of 25*v**7/14 - 9*v**6/2 - 357*v**5/5 + 99*v**4 - 40*v**3 - 26*v + 3. Solve u(t) = 0 for t.
-4, 0, 2/5, 5
Let v(o) be the second derivative of o**6/30 - o**5/15 - o**4/3 + 23*o**2 - 61*o - 2. Let b(q) be the first derivative of v(q). Factor b(c).
4*c*(c - 2)*(c + 1)
Solve 18*i**2 - 8/3*i - 24 + 8*i**3 + 2/3*i**4 = 0 for i.
-9, -2, 1
Let z = -132 - -132. Let w(c) = -1361*c - 1359. Let g be w(-1). Suppose 0 - g*q**2 + 10/3*q**3 - 2/3*q**4 - 2/3*q**5 + z*q = 0. What is q?
-3, 0, 1
Let w(l) be the first derivative of 32/9*l - 8/9*l**2 + 66 - 1/18*l**4 - 14/27*l**3. Factor w(b).
-2*(b - 1)*(b + 4)**2/9
Let 116*u - 2*u**2 + 792913*u**3 + 792915*u**3 + 224 - 1585830*u**3 = 0. What is u?
-7, -2, 8
Let k = 12135 - 12131. Let -4*o - 8/5 - 18/5*o**2 - 1/5*o**k - 7/5*o**3 = 0. Calculate o.
-2, -1
Let o(y) be the first derivative of -y**7/210 + 3*y**6/10 + 19*y**5/10 + 29*y**4/6 + y**3 + 9*y**2/2 + 9. Let s(q) be the third derivative of o(q). Factor s(v).
-4*(v - 29)*(v + 1)**2
Let k = -229/255 + 218/85. Find y, given that 1/3*y**2 + 4/3*y - k = 0.
-5, 1
Let m(b) be the second derivative of -b**4/4 + 142*b**3 - 846*b**2 + 2879*b. Determine x so that m(x) = 0.
2, 282
Let a(z) be the first derivative of -1/7*z**6 + 2/7*z**5 + 45 - 2/21*z**3 + 13/14*z**4 - 6/7*z**2 + 0*z. What is n in a(n) = 0?
-1, 0, 2/3, 3
Let m(b) be the second derivative of -7*b**5/4 + 205*b**4/4 - 150*b**3 + 160*b**2 - 68*b - 1. Factor m(k).
-5*(k - 16)*(k - 1)*(7*k - 4)
Let m be (-5)/(-3) + ((-180)/165 - (-1)/11). Solve 2*i**2 + 2*i**5 + m*i**4 - 6*i**3 + 4/3*i + 0 = 0 for i.
-2, -1/3, 0, 1
Suppose 0 = -l + k - 11, 145*l + 33 = 147*l + 3*k. Factor 0 + 1/3*j - 1/3*j**3 + l*j**2.
-j*(j - 1)*(j + 1)/3
Let y = 471554 + -3300876/7. Suppose 24/7 - 1/7*n**2 - y*n = 0. What is n?
-6, 4
Let w(n) = -187*n**3 + 28*n**2 + 8*n - 9. Let j(k) = -47*k**3 + 7*k**2 + 2*k - 2. Let b = 145 - 136. Let g(v) = b*j(v) - 2*w(v). Find q such that g(q) = 0.
-1/7, 0, 2/7
Let v = -1222518 + 3667555/3. Factor -v*r**2 - 2/3 + r.
-(r - 2)*(r - 1)/3
Let p(h) be the second derivative of 15/2*h**2 + 1/18*h**4 + 0*h**3 - 1/360*h**5 + 0 + 14*h. Let v(c) be the first derivative of p(c). Factor v(n).
-n*(n - 8)/6
Let 593/2*x - 149*x**2 - 148 + 1/2*x**3 = 0. What is x?
1, 296
Let b = -1/172273 - -2584097/344546. Factor -b*i + 3/4*i**2 + 63/4.
3*(i - 7)*(i - 3)/4
Let u(g) = 3*g**4 - 2*g**3 + 77*g**2 + 13*g - 91. Let p(v) = 2*v**4 - 2*v**3 + 58*v**2 + 10*v - 68. Let i(j) = -11*p(j) + 8*u(j). Determine f so that i(f) = 0.
-5, -1, 1, 2
Let d = -29145 + 29147. Determine h, given that -52/3*h + 4/3*h**d + 16 = 0.
1, 12
Let r = 452159 - 452156. Factor 3/2*f**r - 60*f - 21/2*f**2 - 66.
3*(f - 11)*(f + 2)**2/2
Solve -22/3*d**2 - 2/3*d**3 - 26*d - 30 = 0 for d.
-5, -3
Factor -96/11*u**3 - 26118/11*u + 3264/11 + 4752*u**2.
-6*(u - 544)*(4*u - 1)**2/11
Let z(o) be the second derivative of -o**4/6 - 6*o**3 - 56*o**2 - 1182*o - 2. Factor z(r).
-2*(r + 4)*(r + 14)
Let l(c) be the second derivative of c**6/105 - 117*c**5/35 + 4563*c**4/14 + 901*c - 1. Factor l(z).
2*z**2*(z - 117)**2/7
Let n(c) = -2*c**3 - 25*c**2 + 106*c + 115. Let r(m) = m**3 + 8*m**2 - 35*m - 38. Let s = -44 - -51. Let o(p) = s*r(p) + 2*n(p). Factor o(f).
3*(f - 3)*(f + 1)*(f + 4)
Factor -44/9*u**3 + 0 - 16/9*u - 32/3*u**2.
-4*u*(u + 2)*(11*u + 2)/9
Let h(g) = 19*g**3 - 11*g**2 + g. Let m(o) = -207*o**2 + 9*o**3 + 67*o**2 + o + 67*o**2 + 67*o**2. Let b(c) = 4*h(c) - 9*m(c). Factor b(n).
-5*n*(n - 1)**2
Factor 120 - 13*b**2 + 68*b**2 - 612*b - 75*b**3 + 70*b**2 + 610*b**2 + 75*b**2.
-3*(b - 10)*(5