2)
Let y = -165152 + 330305/2. Find o such that y*o**3 - 23*o + 13/2*o**2 + 16 = 0.
-16, 1, 2
Let n(a) be the second derivative of a**6/40 - 3*a**5/10 + 21*a**4/16 - 11*a**3/4 + 3*a**2 - 261*a. Determine d so that n(d) = 0.
1, 2, 4
Let 35/9*i - 11/9*i**3 - 1/3 - 7/3*i**2 = 0. What is i?
-3, 1/11, 1
Let o = 4 + -7. Let c be 1*(2 + -3)*o. Factor i**c + 9*i**2 + 4*i**3 + i**2 + 0*i**2.
5*i**2*(i + 2)
Let d(c) be the first derivative of 5*c**4/12 + 160*c**3/3 + 1405*c**2/6 + 310*c - 1908. Suppose d(u) = 0. Calculate u.
-93, -2, -1
Let m = 1606963/428516 - 7/107129. Factor 3/4*r**4 - 3/4*r**2 - 3 - m*r**3 + 6*r + 3/4*r**5.
3*(r - 1)**3*(r + 2)**2/4
Determine i so that 84/5 - 16*i + 4/5*i**4 + 16*i**3 - 88/5*i**2 = 0.
-21, -1, 1
Let o(j) be the first derivative of -j**6/24 + 7*j**5/10 - 57*j**4/16 + 10*j**3/3 + 14*j**2 - 824. Find d such that o(d) = 0.
-1, 0, 4, 7
Let a(h) be the second derivative of h**7/399 + 61*h**6/285 + 509*h**5/95 + 71*h**4/3 + 2581*h**3/57 + 841*h**2/19 - 358*h. Factor a(r).
2*(r + 1)**3*(r + 29)**2/19
Let y(c) be the first derivative of -5 + 4/9*c**3 + 0*c - 1/3*c**2 - 1/6*c**4. Determine o, given that y(o) = 0.
0, 1
Suppose -22*k - 35*k = 125*k. Let t(w) be the third derivative of 4/3*w**6 - 1/42*w**7 + 1280/3*w**4 - 37*w**2 + 0 + k*w - 10240/3*w**3 - 32*w**5. Factor t(u).
-5*(u - 8)**4
Let c(z) = z**3 - 59*z**2 + 430*z - 17964. Let f be c(57). Let 488/7*o**2 - f*o + 48/7*o**3 - 36/7*o**4 - 252 = 0. What is o?
-7/3, 3
Let t(l) be the second derivative of -13/12*l**4 + 18*l - 61/30*l**3 + 1/50*l**6 - 19/100*l**5 - 3 - 9/5*l**2. Find j, given that t(j) = 0.
-1, -2/3, 9
Suppose 713*l + 540*l - 5861 = -849. Factor 9/5*r**3 + 3/5*r**l + 0 + 0*r - 12/5*r**2.
3*r**2*(r - 1)*(r + 4)/5
Suppose -5*b + 2*r + 20 = -2*r, -5*r = 25. Let t(y) = 10*y + 2. Let g be t(b). Factor -584 + 5*m**g + 0*m**2 + 539.
5*(m - 3)*(m + 3)
Suppose 49*g + 4*v - 22 = 47*g, 0 = 5*g - v - 77. Let l(q) be the first derivative of -g + 3/8*q**2 - 1/8*q**3 + 0*q. Factor l(f).
-3*f*(f - 2)/8
Suppose -5*m + 44 = 3*l, 49*l + 19 = 53*l + m. Let t(p) be the third derivative of -2*p**l - 1/6*p**4 + 0*p + 0 - 1/180*p**5 - 31*p**2. Factor t(o).
-(o + 6)**2/3
Solve -128161*b**2 + 8974 - 25171 - 16*b**4 + 8097 + 2872*b**3 - 64620*b = 0.
-1/4, 90
Let r be (0 + 0)/(-4 - 45/(-9)). Let a(x) be the third derivative of 0*x - 1/4*x**6 + 16*x**2 + 1/12*x**5 + r + 5*x**4 + 1/42*x**7 + 40/3*x**3. Factor a(g).
5*(g - 4)**2*(g + 1)**2
Let t(a) be the second derivative of a**5/40 + 11*a**4/8 + 8*a**3/3 + 77*a. Factor t(m).
m*(m + 1)*(m + 32)/2
Let y(t) = -5*t**3 + t**2 + 3*t - 8. Let w be y(5). Let f = 593 + w. Determine o so that 0 - 1/2*o**3 + f*o**2 - 1/2*o**4 + 0*o = 0.
-1, 0
Let i be 3*(-3)/12 + (-465)/(-12). Suppose -i = -8*u + 10. Factor -8*a**3 + 4*a**2 - 14*a**2 + 4*a**4 + 2*a**5 - u*a**2.
2*a**2*(a - 2)*(a + 2)**2
Let c(g) = -4*g**2 + 4*g - 3. Let b(p) = -p**2 + p + 1. Let d(n) = -2*b(n) + c(n). Let w(v) = -3*v**2 + 2*v - 7. Let i(s) = -4*d(s) + 3*w(s). Factor i(q).
-(q + 1)**2
Let s(h) = 2*h**2 + 13*h + 8. Let x be ((-258)/(-774))/(((-2)/(-36))/(-1)). Let t be s(x). Solve 3/5*d**t + 0 + 1/5*d**4 - 1/5*d**5 + d**3 + 0*d = 0.
-1, 0, 3
Let z be (-476)/204 - 3/(-27)*21. Find f, given that -14/17*f**5 + 80/17*f + z + 122/17*f**4 - 300/17*f**3 + 184/17*f**2 = 0.
-2/7, 0, 2, 5
Let p(y) be the third derivative of y**6/1440 + y**5/120 - 5*y**4/96 + 95*y**3/6 + y**2 + 36. Let a(g) be the first derivative of p(g). Factor a(z).
(z - 1)*(z + 5)/4
Factor 27/5*j**5 + 576/5*j + 180*j**3 - 112/5 - 1088/5*j**2 - 297/5*j**4.
(j - 7)*(j - 2)*(3*j - 2)**3/5
Let l(d) be the second derivative of -2*d**7/147 + 10*d**6/21 - 23*d**5/35 - 25*d**4/21 + 16*d**3/7 - 1346*d. Let l(k) = 0. What is k?
-1, 0, 1, 24
Let t(b) = -10*b**2 + 2097*b. Let j(x) = -12*x**2 + 2100*x. Let l(n) = 3*j(n) - 4*t(n). Factor l(o).
4*o*(o - 522)
Let s(r) be the second derivative of -r**6/70 + 15*r**5/28 - 23*r**4/14 - 3053*r. Solve s(c) = 0.
0, 2, 23
Suppose 0 = -3*v + f - 10, -v - 2*f + 2 = -5*f. Let h(o) = 9*o**2 - 152*o - 2028. Let y(b) = 6*b**2 - 153*b - 2028. Let m(x) = v*y(x) + 3*h(x). Factor m(l).
3*(l + 26)**2
Solve -3058776 - 3/2*f**2 + 4284*f = 0 for f.
1428
Let c(g) be the first derivative of -1125*g**6 + 2740*g**5 - 2145*g**4 + 144*g**3 + 3213*g**2/5 - 324*g + 8642. Suppose c(p) = 0. Calculate p.
-10/27, 3/5
Let q(v) be the third derivative of -2/3*v**3 + 0*v + 1/10*v**5 - 1/105*v**7 - 1/12*v**4 + 3 - 21*v**2 + 1/60*v**6. Find j, given that q(j) = 0.
-1, 1, 2
Factor -1696/3 - 4/3*x**3 - 712*x - 148*x**2.
-4*(x + 1)*(x + 4)*(x + 106)/3
Factor 195*y**3 + 0 - 5/2*y**4 + 13690*y - 8325/2*y**2.
-5*y*(y - 37)**2*(y - 4)/2
Let v be (-1146)/(-270) - 4 - (26 + -22 + (-42)/10). Factor -100/3*b**2 + 2500/3*b - 62500/9 + v*b**3.
4*(b - 25)**3/9
Suppose -78*c + 321/4*c**2 - 159 - 3/4*c**3 = 0. Calculate c.
-1, 2, 106
Let k be 12/39*(15 - 2). Suppose j - 4*h = 7, 6*h - 10*h - k = 0. Factor 15/2*q - 15/2*q**j - 5 + 5/2*q**2 + 5/2*q**4.
5*(q - 2)*(q - 1)**2*(q + 1)/2
Factor -15/2 - 10/3*k**3 - 5/6*k**4 + 10*k + 5/3*k**2.
-5*(k - 1)**2*(k + 3)**2/6
Let a be -11 - 8732/(-185)*10/40. Factor a*w - 1/5*w**4 - 2/5*w**2 + 3/5 - 4/5*w**3.
-(w - 1)*(w + 1)**2*(w + 3)/5
Suppose -4*a = 2*o - 8, 79*o = -3*a + 82*o + 6. Let -1/2*j**4 + 2*j**3 + 6*j**a + 0 + 0*j = 0. What is j?
-2, 0, 6
Let l(o) be the second derivative of o**6/660 - o**5/22 + 7*o**4/66 - 102*o**2 - 2*o - 3. Let i(s) be the first derivative of l(s). Factor i(q).
2*q*(q - 14)*(q - 1)/11
Let v(l) = l**3 + 12*l**2 + 10*l - 9. Let r be v(-11). Let q be -1*r/6*-45. Determine k so that -20 + 5*k**2 - 15 - 15 - q*k = 0.
-2, 5
Let m(a) be the first derivative of 3*a**4/16 - 7*a**3 - 3*a**2/8 + 21*a + 138. Suppose m(s) = 0. What is s?
-1, 1, 28
Solve 30*c**2 + 55/3*c**3 - 5/3*c**5 + 0 + 0*c**4 + 40/3*c = 0 for c.
-2, -1, 0, 4
Factor 9/2*f**2 - 215*f - 48.
(f - 48)*(9*f + 2)/2
Let g(l) be the second derivative of -7/15*l**3 - 33*l - 1/60*l**4 + 0 + 0*l**2. Suppose g(k) = 0. Calculate k.
-14, 0
Let m(n) be the third derivative of 588*n**5 + 5/6*n**3 - 6 + 725/24*n**4 + 4896*n**6 - 14*n**2 + 18432/7*n**7 + 0*n. Factor m(b).
5*(b + 1)*(48*b + 1)**3
Let z = -6224319/4 - -1556080. Factor -17/2*d - 289/4 - z*d**2.
-(d + 17)**2/4
Let h be (2/30)/((-198)/(-66)). Let x(a) be the third derivative of -14*a**2 + 4/27*a**4 + 0 - h*a**5 - 1/135*a**6 + 0*a + 2/945*a**7 - 8/27*a**3. Factor x(v).
4*(v - 2)*(v - 1)**2*(v + 2)/9
Let c be ((-60)/(-9))/2 - 4/(-6). Suppose -o + 3*v = -14, -o - v - 2 = c*v. Solve 0*h**5 + 29*h - 4*h**5 - 16*h**3 - 34 - o*h**2 + 16*h**4 + 26 - 9*h = 0.
-1, 1, 2
Suppose -365 - 5/6*o**2 + 1105/6*o = 0. What is o?
2, 219
Let b(q) be the third derivative of q**6/40 + 19*q**5/12 - 49*q**4/9 + 22*q**3/3 - 3*q**2 - 36*q - 12. Find a, given that b(a) = 0.
-33, 2/3
Let p(k) be the third derivative of -k**6/30 - 43*k**5/3 - 427*k**4/6 - 142*k**3 + 167*k**2 - 3*k. Factor p(v).
-4*(v + 1)**2*(v + 213)
Let 2312*f**2 + 1314*f + 1652*f**3 - 834*f + 16*f**5 + 332*f**4 - 6*f**4 + 14*f**4 = 0. What is f?
-15, -4, -2, -1/4, 0
Suppose 130 + 134 = 8*z. Let l = z + 12. Let l - 40*k - 3*k**2 + 2*k**2 - 4*k**2 = 0. What is k?
-9, 1
Let s be (-6)/(3*8/3504). Let m = s - -7912/9. Determine u, given that 2/9*u**2 + m*u + 98/9 = 0.
-7
Let r = 46 - 46. Suppose 3*a + 0*s + 2*s - 205 = r, 4*a - s = 277. Let -a*o**2 - 4*o**3 - 40*o - 37*o**2 - 4*o**2 - 21*o**3 = 0. Calculate o.
-4, -2/5, 0
Let b be -10 + (-48)/(-18) + 9 + -1. Let s(f) be the first derivative of 5 - 8*f + b*f**6 + 16/5*f**5 - 8/3*f**3 - 10*f**2 + 4*f**4. What is k in s(k) = 0?
-2, -1, 1
Let m = 125 - 69. Determine k, given that 12 - 22*k**2 - 16*k - m*k**3 + 54*k**3 + 28 = 0.
-10, -2, 1
Suppose 5*y = 57*q - 58*q + 47, 40*q + 5*y = 125. Solve 1/2*j**3 - 7*j + 0 + 13/2*j**q = 0 for j.
-14, 0, 1
Let j(s) be the first derivative of 5*s**6/6 + 17*s**5/2 + 349*s**4/12 + 34*s**3 + 18*s**2 + 70*s + 92. Let x(v) be the first derivative of j(v). Factor x(b).
(b + 3)**2*(5*b + 2)**2
Let t = 87/56 + -205/168. What is v in 1/6*v**2 - 1/6*v - t = 0?
-1, 2
Suppose 101*i = 105*i + f - 6, 3*f = 18. Let o(g) be the third derivative of -1/24*g**4 + 1/300*g**5 + i + 0*g - 1/5*g**3 + 6*g**2. What is z in o(z) = 0?
-1, 6
Let c be 0/(-3) - ((-18)/8 + 5/20). Le