)/q. Factor -1/4*l**2 + y*l + 1/2.
-(l - 2)*(l + 1)/4
Find m, given that -4719*m**5 - 4715*m**5 + 12*m + 9*m**4 + 31*m**2 + 9435*m**5 + 27*m**3 = 0.
-4, -3, -1, 0
Let k(g) be the third derivative of 0 + 4/3*g**4 - 1/30*g**5 + 0*g - 64/3*g**3 + 38*g**2. Solve k(m) = 0.
8
Determine v so that -50/3*v**3 + 32/3 - 118*v**2 + 124*v = 0.
-8, -2/25, 1
Let k(b) be the second derivative of b**7/147 + 256*b**6/105 - 517*b**5/70 - 128*b**4/21 + 172*b**3/7 - 1390*b. Solve k(x) = 0.
-258, -1, 0, 1, 2
Let -93*g**4 + 5*g**5 - 71*g**3 - 52*g + 7*g**5 + 42*g - 3*g**5 + 32*g + 53*g**2 = 0. What is g?
-1, -1/3, 0, 2/3, 11
Let b(z) = z**4 - z**3 - z - 3. Let j(f) = -3*f**4 - 33*f**3 - 69*f**2 + 1977*f - 3384. Let d(u) = -6*b(u) - j(u). What is k in d(k) = 0?
-7, 2, 9
Let a be 441/378 - (9 + (-3521)/42). What is c in -a*c + 20 - 79/5*c**2 - 4/5*c**3 = 0?
-10, 1/4
Let -147/2*b**3 + 23919*b**2 + 1956 + 13686*b = 0. Calculate b.
-2/7, 326
Let h(f) = -2*f**4 - 2*f**3 - f**2 - f - 3. Let k(x) = -3*x**4 - 8*x**3 + 36*x**2 - 19*x + 3. Let y(g) = -h(g) - k(g). Factor y(t).
5*t*(t - 1)**2*(t + 4)
Let l(n) be the second derivative of -n**4/18 - 169*n**3/9 - 56*n**2 + n - 1999. Factor l(h).
-2*(h + 1)*(h + 168)/3
Let z(d) be the first derivative of -41 - 14*d**2 - 196*d - 1/3*d**3. Solve z(w) = 0.
-14
Let b(w) be the third derivative of 5*w**5/84 + 9*w**4/4 + 15*w**3/14 + 8591*w**2. Let b(z) = 0. What is z?
-15, -3/25
Let t(w) = 5 - 5*w - 8*w - 2*w**3 - 8*w + 19*w. Let n be t(0). Suppose 0 - 2/7*p**n + 0*p**3 - 2/7*p**4 + 0*p**2 + 0*p = 0. Calculate p.
-1, 0
Let n(a) be the third derivative of a**6/540 - 14*a**5/135 + 35*a**4/27 - 176*a**3/27 - 8765*a**2. Factor n(p).
2*(p - 22)*(p - 4)*(p - 2)/9
Suppose -137*i + 42 = -130*i. Suppose 4*y + i = -5*u + 12, 6 = 3*y + 3*u. Factor 64/9*b**2 + y*b**3 - 8/9 + 20/9*b.
4*(b + 1)**2*(9*b - 2)/9
Suppose -2/7*w**3 - 4*w**2 + 8/7*w**4 + 40/7*w - 16/7 - 2/7*w**5 = 0. Calculate w.
-2, 1, 2
Let i(o) be the third derivative of -o**5/180 - 193*o**4/36 + 43*o**3/2 - 1238*o**2. Determine u, given that i(u) = 0.
-387, 1
Suppose 5*f - n = 280, 5*f - 295 = 2*n + 2*n. Factor 97*h**2 - 264*h + 22*h**3 + 14 + f - 449*h**4 + 450*h**4 + 75.
(h - 1)**2*(h + 12)**2
Let s(l) be the first derivative of -4/9*l**2 + 2/9*l**4 + 56 + 4/9*l**3 - 10/9*l - 2/45*l**5. What is p in s(p) = 0?
-1, 1, 5
Let w(p) be the second derivative of 3*p**5/110 - 67*p**4/66 + 2*p**3/3 + 863*p. Find r such that w(r) = 0.
0, 1/3, 22
Let l = 79510388/9596083 - -2/1370869. Factor -2/7*y**3 - l*y**2 - 56 - 64*y.
-2*(y + 1)*(y + 14)**2/7
Factor -60*a**3 - 215*a**2 + 27*a**3 - 80*a + 25*a**3 - 102*a**3.
-5*a*(2*a + 1)*(11*a + 16)
Let y(w) be the second derivative of w**6/96 - 11*w**5/20 - 9*w**4/8 + w**3/2 + 3*w**2/2 - 71*w. Let r(t) be the second derivative of y(t). Factor r(m).
3*(m - 18)*(5*m + 2)/4
Suppose -1671*s = -1577*s. Factor 6/13*u**3 + s + 2/13*u**4 - 6/13*u - 2/13*u**2.
2*u*(u - 1)*(u + 1)*(u + 3)/13
Let r(x) be the first derivative of x**4/8 + 2*x**3/3 - 39*x**2/4 + 27*x - 1035. Factor r(q).
(q - 3)*(q - 2)*(q + 9)/2
Let n(i) be the first derivative of i**4/6 - 50*i**3/3 + 625*i**2 - 82*i - 65. Let r(d) be the first derivative of n(d). Factor r(c).
2*(c - 25)**2
Solve -193/2*y**2 + 0 + 1/2*y**3 + 0*y = 0 for y.
0, 193
Let y(c) be the second derivative of c**4/3 - 48*c**3 + 280*c**2 + 2*c + 93. Factor y(d).
4*(d - 70)*(d - 2)
Let o(l) be the first derivative of -l**8/560 - l**7/70 - 7*l**6/200 - 3*l**5/100 - 33*l**2 + 95. Let z(d) be the second derivative of o(d). Factor z(i).
-3*i**2*(i + 1)**2*(i + 3)/5
Let y(q) be the first derivative of 0*q - 1/360*q**6 + 0*q**2 + 2 + 13/3*q**3 - 1/3*q**4 - 1/20*q**5. Let b(f) be the third derivative of y(f). Factor b(i).
-(i + 2)*(i + 4)
Let g(d) be the first derivative of -4*d**3/3 + 15620*d**2 - 60996100*d - 12580. Factor g(b).
-4*(b - 3905)**2
Let v(b) be the second derivative of 1/399*b**7 - 7*b - 10/57*b**4 + 2/95*b**6 - 13/19*b**3 + 3/95*b**5 + 0 - 18/19*b**2. Let v(l) = 0. What is l?
-3, -1, 2
Let s(x) = 7*x**2 + 140*x - 1875. Let r(a) = -12*a**2 - 282*a + 3750. Suppose 0 = 8*h - 8 + 48. Let f(k) = h*r(k) - 9*s(k). Suppose f(o) = 0. What is o?
25
Solve -2 + 4*m**2 - 48*m + 52*m + 0*m**3 + 1 - 4*m**3 - 3 = 0.
-1, 1
Suppose -2*z + r = -16 + 45, 5*z + 4*r = -40. Let m(b) = b**3 + 13*b**2 + 13*b + 27. Let a be m(z). Solve -6*t**2 - 8 + a*t**3 - 20*t - 10*t**2 - 19*t**3 = 0.
-2, -1
Let y(u) be the second derivative of 0 + 25/12*u**3 + 13/4*u**2 + 33*u + 11/24*u**4 - 1/40*u**5. Suppose y(d) = 0. Calculate d.
-1, 13
Let a(h) = h**3 - 287*h**2 - 441*h + 44066. Let d be a(288). Factor 30*f**3 + 27/2*f**d + 37/6*f**4 + 0 + 0*f + 1/3*f**5.
f**2*(f + 9)**2*(2*f + 1)/6
Let a(d) be the second derivative of d**4/132 + 15*d**3/22 - 212*d**2/11 + 28*d - 39. Let a(c) = 0. What is c?
-53, 8
Determine j, given that -48 - 81 + 177*j + 3*j**3 + 48 - 51 - 48*j**2 = 0.
1, 4, 11
Let o(z) = -12*z**2 - 67*z - 181. Let x(t) = 7*t**2 + 31*t + 91. Let g(b) = 6*o(b) + 10*x(b). What is m in g(m) = 0?
-44, -2
Let s(q) be the third derivative of q**8/28 + 46*q**7/525 + 3*q**6/50 + q**5/75 - 14*q**2 + q + 22. Solve s(d) = 0 for d.
-1, -1/3, -1/5, 0
Let u be -4*(-1 + (-55)/(-40))*-6. Let q be u - 264/77 - 0. Find c such that q*c + 3/7*c**2 + 36/7 = 0.
-12, -1
Suppose 4*r - 195 = 4*a - 371, r = -3*a + 124. Let i be 51/a - (-3 + (-77)/(-22)). Factor 1/7*n**5 - 3/7*n**3 - 2/7*n + 1/7*n**4 + 0 - i*n**2.
n*(n - 2)*(n + 1)**3/7
Suppose 0 = -74*p - 53*p + 170*p - 177 + 5. Suppose -2/15*o**2 + 4/15*o + 0 - 2/5*o**3 + 2/15*o**p + 2/15*o**5 = 0. Calculate o.
-2, -1, 0, 1
Let w = -171 - -176. Determine i so that -17*i**3 + 19*i**5 - 12*i**3 - 37*i**4 - 13*i**5 + 7*i**4 - 13*i**w - 6*i**2 = 0.
-3, -1, -2/7, 0
Let q(c) = 89*c**2 + 7*c + 28. Let h be q(-3). Let -52*j - 1400*j**3 + 933*j**4 - 1180*j**2 - h*j**4 - 188*j = 0. Calculate j.
-2/5, 0, 12
Suppose -11*h + 8724*h**2 + 97*h + 268 - 8726*h**2 + 108 = 0. What is h?
-4, 47
Let w be 7/(-10)*(-824)/721 - ((-1372)/160 - -8). Factor -1/8*u**2 + w*u - 7/2.
-(u - 7)*(u - 4)/8
Let l = -25 + 38. Suppose l*x + 2 = 14*x. Let 13*k**x - 3 - 1 - 11*k**2 - 4*k**4 + 6*k**2 = 0. What is k?
-1, 1
Solve -340 + 15*x**3 + 293 - 745 - 210*x**2 - 804*x - 41*x**3 + 23*x**3 = 0.
-66, -2
Let h be -2 + 9 - (-2 + 6). Suppose 0 = -2*x + 4*a - 7 - 9, 0 = 4*x - a - h. Factor -10*n - 3*n**2 + 0*n + 4*n - 2*n**3 - 3*n**2 - x.
-2*(n + 1)**3
Let n = 22790 - 22787. Let w(t) be the second derivative of -1/18*t**n + 1/180*t**6 - 5/72*t**4 + 1/252*t**7 + 0*t**2 + 22*t + 0 - 1/40*t**5. Factor w(c).
c*(c - 2)*(c + 1)**3/6
Let o be (466/120 - (-3)/(-4)) + 114/(-855). Factor 4*j**2 + 8/3 + 2/3*j**o + 6*j.
2*(j + 1)**2*(j + 4)/3
Let p(x) be the first derivative of -5/4*x**4 + 30 + 1/5*x**5 + 32*x - 2*x**3 + 16*x**2. Solve p(d) = 0 for d.
-2, -1, 4
Let w be (26/65*(-30)/(-20))/3. Let i(g) be the second derivative of -1/10*g**6 + 0 + 0*g**2 + 9/25*g**5 + w*g**3 - 9/20*g**4 - 21*g. Factor i(f).
-3*f*(f - 1)**2*(5*f - 2)/5
Let u(z) be the first derivative of -z**4/3 + 26*z**3/3 - 20*z + 89. Let a(x) be the first derivative of u(x). Determine l, given that a(l) = 0.
0, 13
Factor -32*m**2 - 15506290*m + 15506450*m + 2*m**4 - 12*m**3 + 2*m**3.
2*m*(m - 5)*(m - 4)*(m + 4)
Let f(h) be the third derivative of -h**8/84 + 41*h**7/1470 + h**6/6 - 8*h**5/21 - 2*h**4/3 - 8*h**3/21 - 2*h**2 - 100*h. Let f(l) = 0. What is l?
-2, -2/7, -1/4, 2
Let w = 495299 - 52005626/105. Let c = w + 136/21. Let 0 - 21/5*g**2 + 18*g**3 + 12/5*g**5 - 12/5*g - c*g**4 = 0. Calculate g.
-1/4, 0, 1, 4
Let v be 135/55 + 42/77. Let f be 6 + (-24)/40*4. Factor -2/5*g**5 + 0*g**2 + 0 - f*g**v + 0*g - 12/5*g**4.
-2*g**3*(g + 3)**2/5
Let y(a) = -2*a**3 + 568*a**2 + 8*a + 36. Let q(z) = -2*z**3 + 563*z**2 + 10*z + 45. Let s(l) = -4*q(l) + 5*y(l). What is w in s(w) = 0?
0, 294
Let i(a) be the first derivative of 5/2*a**3 + 63 - 27/4*a**2 - 3*a. Determine u so that i(u) = 0.
-1/5, 2
Let m(a) = 27*a**2 + a - 1. Let p(t) = 132*t**2 + 218*t - 5. Let o(h) = 5*m(h) - p(h). Solve o(g) = 0.
0, 71
Let v be (-48)/(24/2) - 81/(-1). Let q be (-23)/(-5) + (-2)/(-5). Factor 96 - 7*b**5 - 18*b**4 + 48*b**2 + 221*b + 4*b**q - 24*b**3 - v*b.
-3*(b - 2)*(b + 2)**4
Suppose 2*l - 5*f = 1177, l - f - 589 = 2*f. Factor 0*s**2 - 