ive of 48*v**5 - 30*v - 112 + 175/2*v**2 + 15/2*v**6 - 55*v**4 - 70*v**3. Determine l, given that a(l) = 0.
-6, -1, 1/3, 1
Let n(a) = -a. Let x be 7*(-30)/147*14/(-4). Let w(c) = -75*c**2 - 135*c + 20. Let h(y) = x*n(y) + w(y). Factor h(v).
-5*(v + 2)*(15*v - 2)
Let q = 69782 + -69779. Suppose 5/2*p**q - 1/4 + 1/4*p**5 + 5/4*p - 5/2*p**2 - 5/4*p**4 = 0. Calculate p.
1
Let l(i) be the second derivative of -659*i**7/63 + 395*i**6/9 - 657*i**5/10 + 653*i**4/18 + 2*i**3/9 + 20*i - 8. Factor l(r).
-2*r*(r - 1)**3*(659*r + 2)/3
Let w(o) = 5*o**2 + 16*o + 8. Let g be w(-5). Find a such that -143 - 275*a + g - 2*a**2 + 367*a = 0.
1, 45
Let r(h) = -h**4 - 36*h**3 - 17*h**2 + 12*h + 5. Let p(c) = c**4 - 3*c**3 - c**2 + 1. Let z(a) = 5*p(a) - r(a). Determine g, given that z(g) = 0.
-2, 0, 1/2
Find b, given that 1/2*b**2 + 10*b + 42 = 0.
-14, -6
Let n = 91815 + -91815. Suppose 1/6*d**3 + n - 3/2*d - 4/3*d**2 = 0. What is d?
-1, 0, 9
Let z(x) be the third derivative of -x**8/8960 - x**7/1680 + x**4/24 + x**3/2 - 4*x**2 + 13*x. Let f(t) be the second derivative of z(t). Factor f(b).
-3*b**2*(b + 2)/4
Let p(i) = -2*i**3 - 97*i**2 - 266*i + 363. Let z be p(-4). Suppose -2*j + 0 - 4*j**2 - 1/2*j**4 - 5/2*j**z = 0. What is j?
-2, -1, 0
Determine s, given that -1/4*s**2 + 91/4*s - 89/2 = 0.
2, 89
Suppose -10/23*n**3 + 16/23*n**2 + 24/23*n - 2/23*n**4 + 0 = 0. What is n?
-6, -1, 0, 2
Let y(f) be the second derivative of -f**7/168 + 349*f**6/120 - 87*f**5/20 - 498*f - 2. Determine a so that y(a) = 0.
0, 1, 348
Let y = 1025801/40 + -25645. Let x(v) be the third derivative of 0 + 0*v**3 + 0*v**7 + 20*v**2 + 0*v - 1/448*v**8 + 0*v**4 + 3/160*v**6 + y*v**5. Factor x(d).
-3*d**2*(d - 2)*(d + 1)**2/4
Let z be (20/190)/((-7)/(-133)). Let c(i) be the first derivative of 27 + 0*i - 1/5*i**z - 2/15*i**3. Factor c(x).
-2*x*(x + 1)/5
Let x be 22/231*28/6*(-3)/(-2). Let t(r) be the first derivative of 0*r**2 - 8*r - 9 + x*r**3. Factor t(q).
2*(q - 2)*(q + 2)
Let s(b) be the first derivative of b**6/6 + 156*b**5/5 + 309*b**4/4 + 154*b**3/3 + 6752. Find l, given that s(l) = 0.
-154, -1, 0
Factor -37/5*z**2 - 68/5*z + 1/5*z**4 - 4/5*z**3 - 36/5.
(z - 9)*(z + 1)*(z + 2)**2/5
Suppose -9 + 19*y**3 + 58*y**5 + 42*y**4 + 123*y**3 - 140*y - 30*y**5 + 54*y**2 - 30*y**5 - 87 = 0. What is y?
-2, -1, 1, 24
Suppose 0 = 4*d + 19*i - 21*i - 118, 4*d + 5*i = 153. Let s be 48/384*d/6. Solve 0 + s*g**2 - 8/3*g = 0 for g.
0, 4
Suppose -528/5*z - 432/5 - 93/5*z**2 + 3/5*z**3 = 0. Calculate z.
-4, -1, 36
Let d(c) = c**2 - 14*c + 38. Let s be d(5). Let y be 13/s - -4 - (-3)/(-21). Factor -38*z**3 - 8 - 7*z**2 - 14*z**4 - 35*z**y - 2*z**5 - 8*z**2 - 32*z.
-2*(z + 1)**3*(z + 2)**2
Let a(f) be the second derivative of f**5/40 - 49*f**4/12 - 565*f**3/3 - 2950*f**2 - 9087*f. Determine d so that a(d) = 0.
-10, 118
Let t(y) be the third derivative of 1/60*y**5 + 0 + 18*y - 17/3*y**3 - 5/8*y**4 + 3*y**2. Factor t(x).
(x - 17)*(x + 2)
Let h(t) = -2*t**2 - 1739*t + 758707. Let v(g) = 7*g**2 + 6957*g - 3034806. Let q(r) = -22*h(r) - 6*v(r). Find l, given that q(l) = 0.
871
Suppose -12 = 4*h, -4*h + 15 = 3*q - 9*h. Suppose 4 = -2*r - 4*j - q, -2*r = -j - 11. Suppose 0*k**2 + 0 + 1/2*k**r + 3/4*k**3 - 1/4*k = 0. Calculate k.
-1, 0, 1/2
Let m(r) = -3*r**2 + 105*r - 234. Let b(u) = -10*u**2 + 420*u - 935. Let j(q) = 4*b(q) - 15*m(q). Suppose j(w) = 0. What is w?
-23, 2
Let k be 18 - 1 - 481*(-20)/(-740). Factor 150*x - 12 + 11858/9*x**3 - 682*x**2 - 2662/3*x**k.
-2*(3*x - 2)*(11*x - 3)**3/9
Let w = -907466 - -2722426/3. Determine j so that 56/3 + 2/3*j**4 - w*j**3 + 80/3*j - 2*j**2 = 0.
-1, 2, 14
Let n(q) = q**3 + 11*q**2 + 9*q + 28. Let z be n(-10). Suppose 4*v - 2*y = v + z, 3*v - 34 = y. Let 12 + 10*i**3 - 5*i**4 - 16 + 9 - v*i = 0. Calculate i.
-1, 1
Let n(f) be the third derivative of -f**7/70 + 9*f**6/40 - f**5 + 3*f**4/2 + 2912*f**2 + 2. Find o, given that n(o) = 0.
0, 1, 2, 6
Let m(p) = -2*p**2 - 55*p + 301. Let h(t) = 5*t**2 + 162*t - 904. Let y(a) = -3*h(a) - 8*m(a). Let y(u) = 0. Calculate u.
8, 38
Let d be (185/(-20) - -9)/((-103)/1648). Determine v, given that 4/11*v - 1/11*v**d - 32/11 + 5/11*v**3 + 24/11*v**2 = 0.
-2, 1, 8
Determine b so that 21/4*b**3 - 1233/2 - 1413/2*b**2 - 6969/4*b = 0.
-2, -3/7, 137
Suppose 4*r - 4*b = 84, 3*b - 96 = -5*r - b. Let c be 10/r*1/2. Determine y, given that -3/4*y**4 + c*y**3 - 1/2*y + 3/4*y**2 + 0 + 1/4*y**5 = 0.
-1, 0, 1, 2
Let r = -131779/9912 + 4/1239. Let p = r - -117/8. Find d, given that -p - 7*d**2 - 172/3*d**3 + 98*d**5 + 28/3*d + 175/3*d**4 = 0.
-1, -1/2, 2/7, 1/3
Suppose 103 = -p + 31. Let k = p + 74. Factor -5*u + 5*u + u**3 - 3*u**k - 2*u - 2*u.
u*(u - 4)*(u + 1)
Solve -1090 - 247 - 1353*r - 75 - 12*r**2 - 230 + 634 = 0.
-112, -3/4
Suppose -4*b = k + 10, 15 = -5*b - 0*b. Suppose -5*r + 7 - 16 = 2*m, 2*m + k*r = 0. Let -1/2 - 1/2*z**4 + z**2 + 0*z**m + 0*z = 0. Calculate z.
-1, 1
Let q(y) be the second derivative of -y**4/3 - 28*y**3/3 + 240*y**2 - 1509*y - 1. Factor q(d).
-4*(d - 6)*(d + 20)
Suppose 6 + 1/2*c**3 - 3*c**2 + 5/2*c = 0. What is c?
-1, 3, 4
Let i(x) be the third derivative of 2*x**5/195 + 17*x**4/156 + 4*x**3/39 - 2*x**2 - 106. Factor i(b).
2*(b + 4)*(4*b + 1)/13
Let y = -40 + 56. Factor 63*a - a**2 - 51*a + y - 2*a**2 - a**2.
-4*(a - 4)*(a + 1)
Let r be 1782/81081 - 813/(-273). Factor 4/3 + 17/6*d - 5/3*d**4 + 1/3*d**2 - 8/3*d**r - 1/6*d**5.
-(d - 1)*(d + 1)**3*(d + 8)/6
Let w = 7 + -5. Suppose 0 = 78*n - 269 - 43. Factor -8*z**2 + 2*z**5 + 2*z**w - 2*z**2 - 4*z + 8*z**n + 2*z**5.
4*z*(z - 1)*(z + 1)**3
Let h = -95 - -98. Suppose -k**3 + 54 + 3*k**h - 13*k + 1356*k**2 - 1338*k**2 + 67*k = 0. What is k?
-3
Let s = 165 + 288. Let r = 455 - s. Determine x so that -5/2 + 2*x + 1/2*x**r = 0.
-5, 1
Let a(f) be the second derivative of 1 + 1/4*f**4 - 9*f**3 - 23*f + 243/2*f**2. Factor a(x).
3*(x - 9)**2
Let r(x) be the first derivative of -x**5/5 + 9*x**4 - 23*x**3 + 17*x**2 - 177. Factor r(a).
-a*(a - 34)*(a - 1)**2
Let z(v) be the third derivative of 17*v**6/660 - 29*v**5/110 - 19*v**4/11 + 28*v**3/33 + 3685*v**2. What is t in z(t) = 0?
-2, 2/17, 7
Let a be (-1)/(-1*9/54). Let z(y) be the second derivative of 0*y**4 - 9*y + 0 - 1/165*y**a + 0*y**2 + 0*y**3 + 1/110*y**5. Factor z(b).
-2*b**3*(b - 1)/11
Let f be (9 - 2670/300)/((-6)/(-5)). Let k(v) be the first derivative of 1/2*v**2 + 14 + f*v**3 + v. Let k(p) = 0. What is p?
-2
Let d be (-1)/(-10)*2*(-7)/((-154)/132). Find i, given that 216/5*i - 252/5*i**2 + 3/5*i**5 + 0 + 27/5*i**4 + d*i**3 = 0.
-6, 0, 1, 2
Let p(b) be the first derivative of -20*b + 34*b**2 - 52/25*b**5 + 124 - 424/15*b**3 + 2/15*b**6 + 58/5*b**4. Factor p(n).
4*(n - 5)**2*(n - 1)**3/5
Let y(a) = 244*a**3 + 2*a + 2. Let p be y(-1). Let i = p + 977/4. Let -1/4*t**3 + 0*t - 7/4*t**2 + 3/4*t**4 + i*t**5 + 1 = 0. What is t?
-2, -1, 1
Let b(t) = -3*t + 55. Let i(j) = 4*j - 55. Let w(s) = 6*b(s) + 5*i(s). Let y be w(-26). Factor 5*h**3 + 8 + 10*h**2 - 2*h**3 - 3*h - 13*h - 5*h**y.
-2*(h - 2)**2*(h - 1)
Let z(p) be the second derivative of -p**6/240 - p**5/30 - 73*p**2/2 - p + 3. Let q(u) be the first derivative of z(u). Factor q(f).
-f**2*(f + 4)/2
Let q(m) = -176*m**2 - 55*m + 302*m**2 - 17*m**3 - 25 + 60 - 185*m**2. Let b(i) = 6*i**3 + 20*i**2 + 18*i - 12. Let l(t) = 8*b(t) + 3*q(t). Solve l(y) = 0.
-3, 1/3
Let p be 75 + (1 + -2)*73. Factor -70/3*g + 65/3 + 5/3*g**p.
5*(g - 13)*(g - 1)/3
Let w(r) be the second derivative of r**4/72 - 38*r**3/9 + 1444*r**2/3 + 13*r + 14. Determine b so that w(b) = 0.
76
Let w = -713234/5 + 142648. Factor 0*c**3 + 2/5*c**4 + 0 + 4/5*c - w*c**2.
2*c*(c - 1)**2*(c + 2)/5
Let h be 7 - ((-112)/(-52) + (-12)/78). Let c(z) be the second derivative of -3/40*z**h + 0*z**3 + 0*z**4 + 0*z**2 - 23*z + 0. Factor c(u).
-3*u**3/2
Let s(h) be the second derivative of h**4/36 - 187*h**3/6 - 159*h. Let s(g) = 0. Calculate g.
0, 561
Suppose -9024/7*n + 2/7*n**2 + 10179072/7 = 0. What is n?
2256
Let l(y) = -2*y**2 + 99*y + 263. Let u = 1791 - 1739. Let r be l(u). Factor -3/2*s**2 - 3/4*s**5 - 3/4*s + 3/2*s**r + 3/4*s**4 + 3/4.
-3*(s - 1)**3*(s + 1)**2/4
Let q(v) be the second derivative of v**4/6 - 255*v**3 + 764*v**2 + 1176*v. Factor q(l).
2*(l - 764)*(l - 1)
Let y be ((-4)/(-5))/(30/75). Let k be (-390)/(-600