 given that l(v) = 0.
-2/7, 1/4, 1, 11
Solve 1004 - 3016/3*c + 4/3*c**2 = 0 for c.
1, 753
Let w = 776 + -667. Suppose w*q = 114*q - 15. Factor -5/4*c**4 - 10*c**2 + 25/4*c**q + 5*c + 0.
-5*c*(c - 2)**2*(c - 1)/4
Factor -6 - 2593/8*r - 729/8*r**3 - 17523/4*r**2.
-(r + 48)*(27*r + 1)**2/8
Let z(i) be the first derivative of 5/4*i**4 + 2 + 0*i - 5/2*i**2 + 0*i**3. Suppose z(k) = 0. Calculate k.
-1, 0, 1
Suppose 0 = -12*j + 16*j - 8, 4*j = 5*c - 22. Suppose k + 4*r + 10 = -c, -4 = -4*k + r. Factor k*m**2 - 2/15*m**3 + 0 + 2/15*m.
-2*m*(m - 1)*(m + 1)/15
Let x = 36 + -33. Suppose 2*o + 4*h - h = -3, -x*o = -3*h - 18. Factor o*g + 2*g + g**2 + 0*g.
g*(g + 5)
Let p(n) be the second derivative of -20/3*n**2 - 7/12*n**5 - 1/6*n**6 - 19*n + 10/3*n**3 + 5/6*n**4 + 1. Solve p(b) = 0 for b.
-2, 2/3, 1
Let p(v) be the third derivative of 3*v**7/1400 - v**6/900 - 139*v**3/6 + 62*v**2. Let q(m) be the first derivative of p(m). Factor q(d).
d**2*(9*d - 2)/5
Let o = 2/39749 + 79472/516737. Determine u, given that -8/13*u + o*u**4 - 8/13 + 8/13*u**3 + 6/13*u**2 = 0.
-2, -1, 1
Let i(j) be the second derivative of 11/15*j**3 - 20 - 3/4*j**4 + 0*j**2 - 1/150*j**6 - 6*j + 6/25*j**5. Factor i(k).
-k*(k - 22)*(k - 1)**2/5
Let x(d) = 6*d**3 - 6*d**2 + 20*d. Let u(a) = -7*a**3 + 5*a**2 - 22*a. Let l(g) = 10*u(g) + 11*x(g). Suppose l(n) = 0. Calculate n.
-4, 0
Let i(z) be the second derivative of 0 - 45*z + 0*z**4 + 7/9*z**3 - 2*z**2 - 1/30*z**5. Factor i(n).
-2*(n - 2)*(n - 1)*(n + 3)/3
Let c be 9/12 + (-50)/(-8). Let v be 4*18/4*c/21. Find x such that 4*x**2 - v*x - 2*x - 22 + 10 = 0.
-1, 3
Let n(w) = -w**3 - 1232*w**2 - 6136*w - 3. Let p be n(-5). What is o in -100*o - 5/4*o**p - 2000 = 0?
-40
Suppose 49 - 3 = 23*b. Solve 4*h**b + 15*h + 52 - 66 - 5*h**2 = 0 for h.
1, 14
Let m(t) = -t + 19. Let g be m(16). Suppose 8*v - 99 = -g*v. Let -v - 2*z**3 + 1 + 0 + 2*z + 8*z**2 + 0*z**2 = 0. Calculate z.
-1, 1, 4
Suppose -2*g = -6*g - 48. Let m be (g/40*2)/(2/(-10)). Find l, given that -31*l + 55*l - 7*l**4 - 9*l**3 - 36*l + 8 - 46*l**2 - 24*l**m = 0.
-2, -1, 2/7
Let z(x) = x**3 - 9*x**2 - 4*x - 4. Let m be z(9). Let i = 42 + m. Solve 2*k**2 - i*k**2 + 2*k**2 + 12*k + k**2 = 0 for k.
-4, 0
Factor -448/3*m**3 - 32*m**4 + 0*m**2 + 0*m + 0 + 4/3*m**5.
4*m**3*(m - 28)*(m + 4)/3
Solve 96*a**2 - 97*a**2 - 194*a + 48*a - 129*a = 0 for a.
-275, 0
Let o(h) be the second derivative of -1/28*h**4 - 47/7*h**3 - 6627/14*h**2 - 3*h + 56. Solve o(f) = 0 for f.
-47
Suppose -9*u + 17829 + 1638 = 0. Let n = u + -2163. Let 3/5*z**2 + 3/5*z**3 + n + 0*z = 0. Calculate z.
-1, 0
Let t(h) = 40 - 5*h**2 + 22*h - h**2 - 14. Let o(b) = 2*b**2 - 1. Let y(l) = 4*o(l) + 2*t(l). Factor y(k).
-4*(k - 12)*(k + 1)
Let c = 90361/3 + -29196. Let r = c - 923. Determine j, given that 0 + 0*j + 2*j**4 + r*j**2 - 14/3*j**3 = 0.
0, 1/3, 2
Let q be 2/4 + 408975/(-420). Let m = q - -1947/2. Determine x, given that -23/4*x + m*x**4 - 15/4*x**2 - 1/4*x**3 - 5/2 = 0.
-2, -1, 5
Suppose 57*m - 3*n = 60*m - 936, -m = 2*n - 304. Factor m + 4/5*f**2 + 32*f.
4*(f + 20)**2/5
Let q be ((-95)/38 - 728/(-304)) + (-2)/(-19). Solve 0 - 1/6*b**3 + 1/3*b**2 + q*b - 1/6*b**4 = 0 for b.
-2, 0, 1
Let u(m) be the first derivative of -5*m**6/6 + 10*m**5 + 255*m**4/4 + 340*m**3/3 + 70*m**2 + 694. Find r, given that u(r) = 0.
-2, -1, 0, 14
Factor 0 + 4/5*l - 13/5*l**3 + 4/5*l**4 - 13/5*l**2.
l*(l - 4)*(l + 1)*(4*l - 1)/5
Let k = 45/139 - 401/1668. Let r(x) be the first derivative of 1/2*x**2 - 2/3*x - 11 - k*x**4 + 0*x**3. Let r(o) = 0. What is o?
-2, 1
Let u(d) be the third derivative of -d**8/24 - 79*d**7/105 - 41*d**6/10 - 26*d**5/3 - 14*d**4/3 - 2*d**2 + 596*d - 1. Solve u(h) = 0 for h.
-7, -2, -2/7, 0
Suppose 0 = 88*w - 90*w + 168. Suppose 108*y + 2*y**2 + 578 - w*y - 92*y = 0. What is y?
17
Suppose 171803 = -17*f + 171837. Factor -2/9*c**f - 16/9*c - 10/3.
-2*(c + 3)*(c + 5)/9
Let p = 1673/905 - 45/181. Solve -26/5 + 102/5*s + p*s**2 = 0.
-13, 1/4
Factor -27/5 - 136/5*l - 4/5*l**3 - 113/5*l**2.
-(l + 1)*(l + 27)*(4*l + 1)/5
Let b(a) be the second derivative of a**4/21 - 624*a**3/7 + 438048*a**2/7 + 2*a + 1378. Factor b(x).
4*(x - 468)**2/7
Let p be (1104/60 - 19) + 661/585. Let r = p + 10922/585. Factor 128/15 - r*a + 54/5*a**2.
2*(9*a - 8)**2/15
Let k(o) = 21*o - 626. Let j be k(30). Let b(d) be the second derivative of 1/20*d**5 + 0 + 2/9*d**j + 0*d**2 + 2/9*d**3 - 16*d. Let b(i) = 0. Calculate i.
-2, -2/3, 0
Determine l so that -1641 - 35*l**5 - 44*l**2 - 1721 + 3422 + 255*l**3 - 220*l + 9*l**2 - 25*l**4 = 0.
-3, -1, 2/7, 1, 2
Let t(n) be the third derivative of 0*n + 1/40*n**6 + 21/8*n**4 + 5*n**3 + 3/5*n**5 + 10*n**2 + 0. Find l, given that t(l) = 0.
-10, -1
Let m(v) = 223*v**2 + 20*v - 188. Let g(t) = -28*t**2 + t - 1. Let q(o) = 8*g(o) + m(o). Factor q(f).
-(f - 14)**2
Let m = 1386 + -1379. Suppose 0 = 5*q - 3*u + 15, -m*u + 8*u - 5 = -3*q. Factor -2/9*d**4 + 0*d**3 + 0*d + q*d**2 + 0.
-2*d**4/9
Let g(i) be the second derivative of i**7/84 + 161*i**6/60 - 163*i**5/20 + i**4/12 + 325*i**3/12 - 163*i**2/4 - 418*i. Factor g(p).
(p - 1)**3*(p + 1)*(p + 163)/2
Let k(v) be the second derivative of 4*v**7/21 + 2*v**6/3 - 22*v**5/5 - 92*v**4/3 - 208*v**3/3 - 64*v**2 - 8*v + 51. Factor k(f).
4*(f - 4)*(f + 2)**3*(2*f + 1)
Let z(x) be the second derivative of -2*x + 8 + 2/3*x**3 - 5/3*x**4 + 10*x**2 - 1/5*x**5. Solve z(t) = 0 for t.
-5, -1, 1
Let x = 63564 + -444944/7. Find j, given that x - 6/7*j + 2/7*j**2 = 0.
1, 2
Suppose 3*j + 3 = -3*o - j, -4*o + 2*j + 18 = 0. Find n, given that 30*n**2 - 2524*n**3 + 1261*n**3 + 27*n + 1266*n**o = 0.
-9, -1, 0
Let c(d) be the first derivative of -4*d**3/21 + 102*d**2 + 2872*d/7 - 5342. Let c(z) = 0. Calculate z.
-2, 359
Let q be ((-2)/6)/((-59)/5133). Factor -3*y**3 + 453*y + 6*y**3 + 1089 + 108*y + q*y**2 + 46*y**2.
3*(y + 3)*(y + 11)**2
Let m(y) = -22*y - 107. Let p be m(-5). Factor 138 - 3*x**2 - x**2 + p*x**2 - 427 + 34*x.
-(x - 17)**2
Let o(z) be the first derivative of z**7/150 + 23*z**6/450 - 32*z**5/75 - 2*z**4/3 - 2*z**3 + 48. Let v(k) be the third derivative of o(k). Factor v(m).
4*(m - 2)*(m + 5)*(7*m + 2)/5
Factor 1256/5 + 2/5*o**2 - 1258/5*o.
2*(o - 628)*(o - 1)/5
Suppose -99 = 3*f - 114. Solve -4*o**3 - o**5 + 4*o + o**3 - f*o**4 + 1464*o**2 - 1459*o**2 = 0.
-4, -1, 0, 1
Let m(h) be the third derivative of -h**8/1680 + 23*h**7/1050 - 21*h**6/200 + 61*h**5/300 - h**4/6 + 3647*h**2. Factor m(p).
-p*(p - 20)*(p - 1)**3/5
Let k be ((91/(-420))/(-13))/((-2)/(-6)). Let z(g) be the second derivative of k*g**4 + 0 + 9*g - 3/5*g**3 + 27/10*g**2. Factor z(y).
3*(y - 3)**2/5
Let l(j) be the first derivative of j**3/3 + 105*j**2/2 + 104*j - 1589. Factor l(r).
(r + 1)*(r + 104)
Suppose 0 = 27*t - 38*t + 198. Let m be 7/t - 38/228. Determine y so that 2*y + 0 + m*y**3 - 4/3*y**2 = 0.
0, 3
Factor -1024*j**2 + 347*j**2 + 340*j**2 + 5394*j - 2424603 + 334*j**2.
-3*(j - 899)**2
Let n = 645 - 569. Solve -2*g**2 + 7 - 31*g + 29 + 7*g + n - 28*g = 0.
-28, 2
Let l(i) be the second derivative of 2 + 85*i + 17/5*i**2 - 86/15*i**3 + 1/6*i**4. Solve l(k) = 0.
1/5, 17
Suppose 0 = -5*w + 5*h - 54 - 86, -2*w + 3*h = 57. Let v be ((-4)/6)/(6/w). What is n in -2*n**2 - 3*n + v*n**2 + 2 - 3*n**2 + 3*n**2 = 0?
1, 2
Let u be (5 - 14 - 431) + (-2 - 4). Let g = u - -1340/3. Let g*n + 0 + 2/9*n**2 = 0. What is n?
-3, 0
Let d(w) = -155*w - 3716. Let j be d(-24). Let c(g) be the second derivative of -16*g + 0 - 3/20*g**5 + g**3 + 1/4*g**j + 0*g**2. Solve c(i) = 0.
-1, 0, 2
Suppose -921*c - 7180*c = -306*c - 899*c. Factor -16*s + c - 4/3*s**2.
-4*s*(s + 12)/3
Let y(u) be the second derivative of 15/2*u**2 - 1/4*u**5 + 0 + 25/12*u**4 - 122*u - 35/6*u**3. Factor y(n).
-5*(n - 3)*(n - 1)**2
Let n(g) be the first derivative of -g**6/3 - 181*g**5/10 - 33*g**4/8 + 535*g**3/6 - 227*g**2/4 - 45*g + 882. Determine z, given that n(z) = 0.
-45, -2, -1/4, 1
Factor -8541/2*l**2 + 2845/4*l - 54*l**4 + 8559*l**3 - 79/2.
-(l - 158)*(6*l - 1)**3/4
Let g(v) be the second derivative of 2*v**4/3 + 39*v**3 + 29*v**2 - 110*v - 1. Suppose g(o) = 0. Calculate o.
-29, -1/4
Let d(r) = -r**2 + 3. Let b be d(0). Let m be (12/(-7))/(-4) - 24675/(-735). Factor -4*z**b - 35*z + 6*z**2 + 11*z - m*z**2.
-4*z*(z + 1)*(z + 6)
Find h, given that -1208/5 +