/(-8))/(1/(-4)). Factor 2*j - j**u - 2*j**2 + 26 + 6*j + 22 - 40 - j**3.
-2*(j - 2)*(j + 1)*(j + 2)
Suppose -90*o - 22 = -79*o. Let m be (-52)/(-28) + o/2. Factor -24/7*s**2 - 20/7*s**3 - 2/7 - 12/7*s - m*s**4.
-2*(s + 1)**3*(3*s + 1)/7
Let w = 239/56 + -511/120. Let d(l) be the third derivative of 0 - w*l**5 + 2/21*l**3 + 0*l**4 + 0*l + 6*l**2. Factor d(n).
-4*(n - 1)*(n + 1)/7
Find f such that 2/3*f**5 + 44/3*f**2 + 28/3*f**4 + 0*f + 70/3*f**3 + 0 = 0.
-11, -2, -1, 0
Factor -3*x**4 + 3291 + 2310*x - 43*x**2 + 131*x**2 - 2*x**4 + 432*x**2 - 366 + 10*x**3.
-5*(x - 13)*(x + 3)**2*(x + 5)
Let f(m) be the third derivative of -m**8/336 - 29*m**7/210 + 271*m**6/60 - 253*m**5/6 + 2275*m**4/24 + 5375*m**3/6 - 1782*m**2. Factor f(a).
-(a - 5)**3*(a + 1)*(a + 43)
Suppose -5*f = -o - 8, -f - 695 = 2*o - 701. Let p(w) be the first derivative of 26 + 0*w + 1/8*w**4 + 1/2*w**o + 1/2*w**3. Factor p(k).
k*(k + 1)*(k + 2)/2
Let b(p) = -8*p**2 - 12*p**2 - 9*p**2 - 12*p - 16 + 21*p**2. Let o(q) = -90*q**2 - 132*q - 176. Let l(k) = 68*b(k) - 6*o(k). Determine r, given that l(r) = 0.
-4, -2
Suppose 55*v - 168 = -4*t + 71*v, -3*t + 36 = -3*v. Let -8/3*h + 2/9*h**t + 2/9*h**3 + 0 = 0. Calculate h.
-4, 0, 3
Let n(q) be the third derivative of -q**8/1344 - 157*q**7/840 - 13*q**6 - 507*q**5/20 + 1123*q**2. Suppose n(v) = 0. Calculate v.
-78, -1, 0
Let x(w) be the third derivative of -w**7/105 - 7*w**6/60 + 22*w**5/15 - 14*w**2 - 127*w + 2. Factor x(g).
-2*g**2*(g - 4)*(g + 11)
Let b(k) = -4*k**3 + 98*k**2 + 190*k - 803. Let p(n) = 5*n**3 - 195*n**2 - 380*n + 1605. Let a(y) = 5*b(y) + 3*p(y). Let a(j) = 0. Calculate j.
-16, -5, 2
Factor 27/2*f + 135 - 3/2*f**2.
-3*(f - 15)*(f + 6)/2
Let q be (-3 - 190/(-70)) + 150/35. Find f, given that -3/5*f**3 + 0 - 3/5*f**q - 9/5*f + 3*f**2 = 0.
-3, 0, 1
Let o = 370 - 366. Find u such that 9*u - 97*u**3 - 21*u**5 - u + 32*u**3 - 85*u**o - 2*u + 5*u**2 = 0.
-3, -1, -1/3, 0, 2/7
Let s(l) be the second derivative of l**7/140 + l**6/48 - 11*l**5/120 + l**4/16 - 13*l**2 + l + 30. Let a(p) be the first derivative of s(p). Factor a(h).
h*(h - 1)*(h + 3)*(3*h - 1)/2
Suppose -34 = o + 5*j - 93, 0 = 5*o - 3*j + 13. Find d, given that o*d + 0 - 1/3*d**2 = 0.
0, 12
Let -18/7*x**2 + 3/7*x**5 + 3*x + 0*x**4 - 24/7*x**3 + 18/7 = 0. What is x?
-2, -1, 1, 3
Let c be (-3 - (-91)/30)*(-27)/((-243)/12). Let j(k) be the first derivative of 0*k - 1/30*k**4 + 0*k**2 + 7 - c*k**3. Solve j(z) = 0 for z.
-1, 0
Let c(o) be the first derivative of o**7/42 + 7*o**6/10 + 147*o**5/20 + 343*o**4/12 - 135*o - 51. Let d(z) be the first derivative of c(z). Factor d(w).
w**2*(w + 7)**3
Let 94/11*u**4 + 12/11*u**5 - 112/11*u**3 - 1136/11*u**2 - 288/11 + 1920/11*u = 0. What is u?
-6, 1/6, 2
Suppose 0 = -4*s + 3*b + 20, 4*s - 3*b + 44 = 8*s. Let m be (-1 + (-60)/s)*-2. What is j in 1 + m*j + 289/4*j**2 = 0?
-2/17
Solve -7000/3 - 4/3*g**3 + 3700/3*g + 4/3*g**4 - 180*g**2 = 0.
-14, 5
Let k(b) be the first derivative of -b**6/150 - 2*b**5/25 - b**4/5 + 16*b**3/15 + 32*b**2/5 - 42*b + 6. Let u(g) be the first derivative of k(g). Factor u(p).
-(p - 2)*(p + 2)*(p + 4)**2/5
Suppose -4*j = 2*m - 12, 0 = 4*m - 2*m - 4*j - 20. Suppose -m*i + 13 + 19 = 0. Factor 3/4*b**3 + 1/4*b + 1/4*b**i + 0 + 3/4*b**2.
b*(b + 1)**3/4
Suppose n = -4*b + 132, -4*b + 137 = 3*n + 13. Solve 2*y**2 - b - 28*y + 40*y + 2 = 0.
-8, 2
Find m such that 2/11*m**3 + 40/11*m**2 + 0 + 72/11*m = 0.
-18, -2, 0
Let k(q) be the first derivative of -2*q**3/45 - 19*q**2/15 + 44*q/5 + 4117. Factor k(x).
-2*(x - 3)*(x + 22)/15
Let i = 595 + -601. Let g be i/(-7)*14/45. Determine h so that g*h - 2/15*h**2 - 2/15 = 0.
1
Let j(b) = 14*b**2 - 18*b + 6. Let r(w) = 13*w**2 - 17*w + 7. Suppose 0 = 30*m + 79 + 11. Let x(a) = m*j(a) + 2*r(a). Find u, given that x(u) = 0.
1/4, 1
Suppose 3*h - 81 = 90. Suppose 5*s + 2*v = 83, s - 4*s + h = 3*v. Find q, given that 0*q**2 + 5*q**2 + 8 + 0*q**2 - s*q - 28 = 0.
-1, 4
Let l be (-108)/(-15) - (4/(-46) - 652/(-92)). Factor 0*n - l*n**3 - 3/5*n**2 + 0.
-n**2*(n + 3)/5
Let x = -31 - -33. Factor -14*s**2 + 15*s**3 - 16*s**2 + 35*s**x.
5*s**2*(3*s + 1)
Factor 3*f**2 - 8*f - 2*f**4 - 5078 - 21*f**2 - 12*f**3 + 5078.
-2*f*(f + 1)**2*(f + 4)
Let d be 7/42*-2*8/(-24). Let u(z) be the first derivative of -d*z**3 + 10 - 1/3*z**2 + 1/6*z**4 + 1/15*z**5 + 0*z. Let u(c) = 0. Calculate c.
-2, -1, 0, 1
Let i(q) be the second derivative of q**6/105 - 17*q**5/70 + 65*q**4/42 + 125*q**3/21 - 750*q**2/7 - q + 55. Solve i(o) = 0.
-3, 5, 10
Let h(b) = -b**2 - 12*b - 15. Let r be h(-10). Let o be (r - 1)/((-1)/(-1)). Determine s so that 22*s**2 - 4*s**2 - 6*s**2 - 16*s - o*s**3 + 4*s**2 = 0.
0, 2
Let r be 4*((183 - 172) + (-229)/(-21)*-1). Solve -8/21 - 8/21*l + 2/21*l**4 + r*l**3 + 2/7*l**2 = 0 for l.
-2, -1, 1
Let b be 2/10 + (-399)/(-105) - 1. Suppose 0 = -q + h - 5, b*q - 1 + 21 = 4*h. Find g, given that 2/3*g**3 + 1/3*g**4 + 0 + 1/3*g**2 + q*g = 0.
-1, 0
Let p(u) be the third derivative of -u**6/660 - 5*u**5/66 - 34*u**4/33 + u**2 + 3*u. Find s such that p(s) = 0.
-17, -8, 0
Let l(c) be the first derivative of 4*c**3/9 + 456*c**2 + 155952*c + 292. Suppose l(v) = 0. What is v?
-342
Let q be 45000/(-175)*14/(-3). Let v be (16/14)/((q/(-56))/(-3)). Find m, given that -2/25*m + v - 2/25*m**2 = 0.
-2, 1
Let i(v) be the first derivative of -v**4/12 - 13*v**3/9 - 20*v**2/3 + 4155. Solve i(r) = 0.
-8, -5, 0
Let z(f) be the second derivative of 3*f**7/14 - f**6/2 - 597*f**5/20 - 151*f**4/4 + 770*f**3 - 1350*f**2 - 1866*f - 1. Determine r so that z(r) = 0.
-5, 2/3, 2, 9
Factor -2/7*y**4 - 2/7*y**2 - 32/7 + 48/7*y - 12/7*y**3.
-2*(y - 1)**2*(y + 4)**2/7
Let w(u) be the first derivative of u**5/80 + 17*u**4/32 + 5*u**2/2 - 8*u + 267. Let p(q) be the second derivative of w(q). Factor p(z).
3*z*(z + 17)/4
Let j(d) be the third derivative of -1/132*d**4 + 0*d + 0 - 34*d**2 + 1/330*d**5 + 0*d**3. Suppose j(n) = 0. What is n?
0, 1
Factor -11*d**2 + 134*d - 51*d**2 + 50*d + 2*d**3 - 34*d**2.
2*d*(d - 46)*(d - 2)
Let a = 215314 - 1076462/5. Factor a*y + 4/5*y**2 + 0.
4*y*(y + 27)/5
Let l(a) be the second derivative of a**6/50 - 13*a**4/10 + 15*a**2/2 + 3*a - 49. Let l(o) = 0. What is o?
-5, -1, 1, 5
Let g be (30/(-8))/(-1)*-3*(-23)/((-40250)/(-700)). Factor g*n**3 + 3*n**2 + 0*n + 3/2*n**4 + 0.
3*n**2*(n + 1)*(n + 2)/2
Let y = -13813/45 - -2957/9. Let u(w) be the second derivative of -1/10*w**4 - 12/5*w**3 - 43*w + 0 - y*w**2. Factor u(m).
-6*(m + 6)**2/5
Let w(c) be the third derivative of -c**8/112 + 3*c**7/7 - 24*c**6/5 - 128*c**5/5 - 629*c**2. What is n in w(n) = 0?
-2, 0, 16
Let m be -20 - (7 - -1 - 17). Let r be (-10 - 2 - m)/(1/(-2)). What is t in -3/7*t**r - 21 - 6*t = 0?
-7
Suppose -5*u - 4*s = -35, -46*s + 44*s = -u - 7. Let c(m) be the second derivative of 0*m**2 + 0 - 1/4*m**4 + 1/20*m**5 + 30*m + 0*m**u. Factor c(p).
p**2*(p - 3)
Let b(c) = c**2 + 3*c - 6. Let w(l) = -15*l - 14*l + 3 + 47*l - 14*l - 6*l + l**2. Let n(y) = b(y) - 2*w(y). Factor n(t).
-(t - 4)*(t - 3)
Suppose 2*z + 5*v = -20, -2*v - 113 = z - 105. Suppose -236*b = 5*t - 239*b + 2, z = 2*b - 8. Solve 1/5*h**t + 1/5 - 2/5*h = 0.
1
Let r(i) be the first derivative of -3/2*i**4 + 1/3*i**6 + 0*i**5 + 0*i**2 + 4/3*i**3 + 183 + 0*i. Let r(u) = 0. What is u?
-2, 0, 1
Let g(p) be the second derivative of p**6/30 - p**5 - 91*p**4/12 - 59*p**3/3 - 24*p**2 + 1784*p - 2. Let g(m) = 0. Calculate m.
-2, -1, 24
Let m(b) = 48*b**2 - 51027*b + 13230000. Let o(r) = -3*r**2 + 3188*r - 826875. Let l(p) = 2*m(p) + 33*o(p). Solve l(t) = 0 for t.
525
Let v(q) be the first derivative of q**6/120 + q**5/5 - 2*q**3/3 - 2*q + 16. Let r(o) be the third derivative of v(o). What is p in r(p) = 0?
-8, 0
Factor 4*a**2 + 116 + 466 - 800*a + 214.
4*(a - 199)*(a - 1)
Let d(a) be the third derivative of 3*a**5/4 + 35*a**4/6 + 5*a**3/2 - a**2 + 2. Suppose d(u) = 0. What is u?
-3, -1/9
Let t be (12*(-91)/(-1872))/(2/40). Let i(s) be the first derivative of -1 - 5/4*s**4 + 45*s + t*s**3 - 75/2*s**2. Solve i(z) = 0 for z.
1, 3
Let y(d) be the first derivative of 1/15*d**6 + 44/15*d**3 - 64/5*d - 32/5*d**2 + 31/10*d**4 + 67 + 4/5*d**5. Find m, given that y(m) = 0.
-4, -2, -1, 1
Suppose -5*l + 301084 = -91726. Find r, given that -r**2 + l - 47586 - 704*r + 5*r**2 = 0.
88
Let k be