w**2 - w - 3. Let s be a(2). Let u = 86 - s. Factor -655*j**2 + 332*j**2 - u*j + 326*j**2.
3*j*(j - 1)
Let c(a) be the second derivative of -1/4*a**5 + 35/6*a**3 + 0 - 35/24*a**4 - 25/4*a**2 + 5*a. Solve c(m) = 0 for m.
-5, 1/2, 1
Let o(l) = -56*l**2 + 80 + 115*l + 45*l**2 + 128*l + 44*l**2 + 172. Let m(k) = 8*k**2 + 61*k + 63. Let h(r) = -21*m(r) + 5*o(r). Factor h(g).
-3*(g + 1)*(g + 21)
Determine x, given that 2066 + 2070 - 6201 - 5*x**2 + 2067 + 5*x - 2*x**2 = 0.
-2/7, 1
Let c(h) be the third derivative of -h**8/1176 - h**7/245 + 2*h**6/35 + 8*h**5/21 - 3839*h**2. Factor c(q).
-2*q**2*(q - 5)*(q + 4)**2/7
Let i(m) = 2*m**2 - 35*m + 30. Let k be i(9). Let n = k + 623/5. Solve -n*t**2 - 17/10*t**3 - 3/10*t - 2/5*t**4 + 0 = 0.
-3, -1, -1/4, 0
Let t(q) be the third derivative of -q**8/1260 + q**7/630 + q**6/135 - 31*q**3/6 - 6*q**2 - 2*q. Let n(y) be the first derivative of t(y). Factor n(x).
-4*x**2*(x - 2)*(x + 1)/3
Let d(h) = h**2 + 53*h + 549. Let w be d(-39). Let t(u) be the second derivative of 6/17*u**2 - w*u - 1/102*u**4 + 0 + 1/51*u**3. Factor t(j).
-2*(j - 3)*(j + 2)/17
Factor -98*f**2 + 0 + 2/7*f**4 + 344/7*f + 340/7*f**3.
2*f*(f - 1)**2*(f + 172)/7
Let r = 456 - 452. Suppose -2*f = 8, 0 = 5*a + 4*f - 9. Factor -5*o**3 - 3*o**a - 449*o**r + 3*o**2 - 4*o**3 + 458*o**4.
-3*o**2*(o - 1)**3
Factor -1/3*c**3 + 5*c - 8/3 - 2*c**2.
-(c - 1)**2*(c + 8)/3
Let x = 7630 + -53406/7. Solve 8/7*k**2 + 0 - 4/7*k**4 + 0*k - x*k**3 = 0 for k.
-2, 0, 1
Let s = -897 - -836. Let f be -60 - s - (29/(-7) + 0). Let 12/7 + 10/7*i**5 + 32/7*i**2 - 44/7*i**4 + f*i**3 - 46/7*i = 0. Calculate i.
-1, 2/5, 1, 3
Let h(m) be the third derivative of 13*m**6/240 + 16*m**5/15 + 73*m**4/12 - 4*m**3 - 15*m**2 + 2*m + 10. Solve h(o) = 0 for o.
-6, -4, 2/13
Factor -4/3*a - 2/9*a**2 + 32/9.
-2*(a - 2)*(a + 8)/9
Let i = 4908/11 - 98149/220. Let z(q) be the second derivative of 0*q**2 + 1/30*q**6 + 1/6*q**3 - i*q**5 - 25*q - 1/12*q**4 + 0. Find h such that z(h) = 0.
-1, 0, 1
Let c(v) be the first derivative of -v**5/240 - 11*v**4/96 - 5*v**3/12 + 32*v**2 + 61. Let d(o) be the second derivative of c(o). Factor d(k).
-(k + 1)*(k + 10)/4
Factor -32/7 + 2/7*u**2 + 12/7*u.
2*(u - 2)*(u + 8)/7
Let k(w) be the third derivative of 5/4*w**5 - 9/20*w**6 - 2/3*w**4 - 3 + 0*w + 1/30*w**7 - 2*w**3 - 11*w**2. Let k(r) = 0. What is r?
-2/7, 1, 6
Let d(v) be the second derivative of -14*v**5/55 + 29*v**4/66 - v**3/33 - 88*v - 4. Factor d(q).
-2*q*(q - 1)*(28*q - 1)/11
Let v(q) = 13*q**2 - 915*q - 914. Let t(k) = -10*k**2 + 610*k + 610. Let l(d) = -7*t(d) - 5*v(d). Find u such that l(u) = 0.
-60, -1
Let t(u) be the third derivative of -u**7/140 - 71*u**6/96 - 5453*u**5/240 - 5945*u**4/96 - 841*u**3/24 - 140*u**2 + 3*u + 1. Find d, given that t(d) = 0.
-29, -1, -1/6
Let x = 143 + -103. Determine r so that 15*r - 3*r + 44*r**2 - x*r**2 - 112 = 0.
-7, 4
Suppose 0*u - 2*u - a - 36 = 0, 5*u = 4*a - 103. Let w = u + 25. What is s in 3 + 11 + w - 14 + 2*s**2 + 8*s = 0?
-3, -1
Let o(q) be the first derivative of q**6/12 - 9*q**5/10 + 7*q**4/4 + 4*q**3 + 1165. Solve o(c) = 0 for c.
-1, 0, 4, 6
Let c be 90/(-6165) + 12865/8494. Let h = -1/538 - -2018/269. Suppose h*l + c*l**3 + 6*l**2 + 3 = 0. What is l?
-2, -1
Factor 4*w**3 - 1510*w + 610*w + 278 + 2222 + 60*w**2.
4*(w - 5)**2*(w + 25)
Let y be ((-14)/35)/1 - (-4864)/12120. Let r = 1016/4545 - y. Let 0*l - r*l**2 + 8/9 = 0. Calculate l.
-2, 2
Let x = 269 - 268. Let m(q) = -2*q**4 - 6*q**3 + q**2. Let b(a) = a**4 + a**3 - a**2. Let w(r) = x*b(r) + m(r). Factor w(i).
-i**3*(i + 5)
Let o be (6/20 + 6/30)*2032/3048. Factor 1/3*c**2 + 0 + o*c.
c*(c + 1)/3
Let v(l) be the third derivative of -1/6*l**5 + 0 - 25/24*l**4 + 79*l**2 + 0*l + 0*l**3 + 1/5*l**6 + 1/336*l**8 + 1/21*l**7. Find c, given that v(c) = 0.
-5, -1, 0, 1
Let s be 69/5 - 8/10. Suppose 6*t - 43 = -s. Solve 0*n**3 - n**3 - 5*n**2 - 2*n - t*n**2 + 7*n**2 = 0 for n.
-2, -1, 0
Let h be -2 + 0/(-1) - -6. Determine i so that 8*i**4 - 15*i**2 - 32*i**h + 27*i**4 + 12 = 0.
-2, -1, 1, 2
Let c(y) = 2*y**2 + 142*y - 288. Let m be c(-73). Let u(z) be the second derivative of 1/6*z**m - 17*z - z**2 + z**3 - 3/10*z**5 + 0. Factor u(r).
-2*(r - 1)*(r + 1)*(3*r - 1)
Let u = 22 - 19. Suppose u*n**3 + 3*n**4 + 1242*n + n**5 + n**2 - 1242*n = 0. What is n?
-1, 0
Let v(w) = -w**3 + 15*w**2 - 28*w - 51. Let r be v(12). Suppose -19*f + r = -12. Factor -6/23*x + 2/23*x**f - 4/23 + 0*x**2.
2*(x - 2)*(x + 1)**2/23
Suppose 226 = -v + r - 222, -5*v = 3*r + 2240. Let q = -444 - v. Solve -8/5*p**q + 0 - 8/5*p**2 - 12/5*p**3 - 2/5*p - 2/5*p**5 = 0 for p.
-1, 0
Let k be -2 + 0 + (-6 - -4)*-6. Suppose -5*a + k = b - 0*b, -22 = -5*b + 3*a. Factor 11*i**4 - 51*i**4 + 32*i**b - 7*i**5 + 12*i**3 - 32*i**3.
5*i**3*(i - 2)*(5*i + 2)
Factor 1650*x**2 - 5/3*x**3 + 59895000 - 544500*x.
-5*(x - 330)**3/3
Find h, given that 64/3 - 12*h**2 - 32/3*h + 2/3*h**3 + 2/3*h**4 = 0.
-4, -2, 1, 4
Let a(z) be the third derivative of z**8/84 - 2*z**7/35 - 4*z**6/15 + 8*z**5/5 + 8*z**4/3 - 32*z**3 + 4*z**2 - 477. Suppose a(c) = 0. What is c?
-2, 2, 3
Let a(g) be the third derivative of -7*g**5/30 + 47*g**4/6 - 105*g**3 + g**2 + 77*g - 6. Solve a(q) = 0.
45/7, 7
Let x(h) be the third derivative of 0 + 0*h - 2/5*h**5 + 3/35*h**6 + 7/12*h**4 + 87*h**2 + 0*h**3. Solve x(m) = 0.
0, 7/6
Let o(v) = -2*v + 1. Let q(r) = -r**5 + 73*r**4 - 1219*r**3 - 4105*r**2 - 4250*r - 1447. Let c(b) = 3*o(b) + q(b). Factor c(d).
-(d - 38)**2*(d + 1)**3
Let w(s) be the second derivative of s**4/18 - 34*s**3/9 - 483*s. Determine x, given that w(x) = 0.
0, 34
Let w(v) be the first derivative of -625*v**4 + 4700*v**3/3 + 1008*v**2 - 5184*v + 1580. Factor w(x).
-4*(x + 1)*(25*x - 36)**2
Let k(x) be the third derivative of x**8/1344 - x**7/210 - 59*x**6/480 - 17*x**5/120 + 55*x**4/24 + 25*x**3/3 - 2496*x**2. Find g such that k(g) = 0.
-5, -2, -1, 2, 10
Let x = -1528/2373 + 412/339. Find y such that -x*y**3 - 4/7 + 4/7*y + 4/7*y**2 = 0.
-1, 1
Let w(l) be the second derivative of -3*l**5/140 + 73*l**4/14 + 295*l**3/14 + 222*l**2/7 - l - 481. Suppose w(s) = 0. What is s?
-1, 148
Let z(l) be the first derivative of -l**6/6 - 21*l**5/5 + 73*l**4/4 + 7*l**3 - 36*l**2 - 2779. Find j such that z(j) = 0.
-24, -1, 0, 1, 3
Let g = -353 + 361. Solve 0*f + 4*f**2 - 27 + 31 + g*f = 0.
-1
Let a(c) = -c**2 + 2. Let t(k) = 9*k**2 + 0 - 36*k - 10*k**2 + 34*k - 2 + 2*k**3. Let w(l) = -3*a(l) - t(l). Factor w(z).
-2*(z - 2)*(z - 1)*(z + 1)
Suppose -2*j - 71 = -39. Let c(i) = 5*i**2 - 10*i + 27. Let a(v) = 26*v**2 - 48*v + 136. Let f(y) = j*c(y) + 3*a(y). Find b, given that f(b) = 0.
2, 6
Find h such that 28*h**3 - 896*h - 26 - 1428*h**2 + 4556*h**2 - 18 + 44 = 0.
-112, 0, 2/7
Let n(p) = -14*p**3 - 60*p**2 + 227*p + 298. Let d(j) = -16*j**3 - 60*j**2 + 226*j + 300. Let m(y) = 5*d(y) - 6*n(y). Factor m(o).
4*(o - 4)*(o + 1)*(o + 18)
Let a(n) be the first derivative of 0*n**2 + 0*n - 9 - 4/3*n**3 + n**4 + 7/5*n**5 + 1/3*n**6. Find m, given that a(m) = 0.
-2, 0, 1/2
Let o be (-3564)/(-80190)*(38/8 + -1). Find k such that 7/2*k + 61/6*k**2 - 49/3 + 5/2*k**3 + o*k**4 = 0.
-7, -2, 1
Find k such that -532*k**3 + 1 + 528*k - 1 + 149*k**4 - 19*k**2 + 4*k**5 - 153*k**4 + 23*k**2 = 0.
-11, -1, 0, 1, 12
Factor -18*x**3 + 3*x**2 + 16*x**3 + 2 + 3*x**2 - 62 - 38*x + 14*x**2.
-2*(x - 6)*(x - 5)*(x + 1)
Factor -5/2*a**3 + 30*a**2 + 170 + 405/2*a.
-5*(a - 17)*(a + 1)*(a + 4)/2
Let g(t) be the third derivative of -t**6/72 + t**5/12 + 5*t**4 + 19*t**3/6 - 55*t**2. Let q(l) be the first derivative of g(l). Let q(b) = 0. What is b?
-4, 6
Suppose -346 = -217*t + 219*t. Let b = t + 175. Suppose 0 - 2/7*y**b + 4/7*y = 0. What is y?
0, 2
Let x be (((-278)/48 - 92/(-736)) + 4)*-4. Factor -x*j**2 + 4/3*j**3 + 0 + 0*j.
4*j**2*(j - 5)/3
Let a(h) = -h**3 + 27*h**2 + 35*h. Let t be a(28). Let f = -580/3 + t. Factor -4/9*n**5 - f*n**4 + 0 - 32/9*n**2 + 0*n - 16/3*n**3.
-4*n**2*(n + 2)**3/9
Let a(k) be the first derivative of -24/5*k + 2/3*k**3 - 16/5*k**2 + 1/15*k**6 + 14/25*k**5 - 2 + 3/2*k**4. Determine l so that a(l) = 0.
-3, -2, -1, 1
Let b(l) = 24*l**4 - 9*l**3 - 6*l**2 - 9. Let t(d) be the first derivative of -12*d**5/5 + 5*d**4/4 + d**3 + 4*d + 153. Let m(a) = 4*b(a) + 9*t(a). Factor m(h).
-3*h**2*(h - 1)*(4*h + 1)