n - 2)*(n + 1)/3
Let l(d) = -350*d**2 - 39845*d + 16045. Let n(c) = -25*c**2 - 2846*c + 1146. Let r(j) = 6*l(j) - 85*n(j). Factor r(v).
5*(v + 114)*(5*v - 2)
Factor -3125/4 + 875*p - 11*p**3 - 165/2*p**2 - 1/4*p**4.
-(p - 5)*(p - 1)*(p + 25)**2/4
Suppose 3*s = -2*g + 5, -s + 15 = s - g. Suppose -35 = -s*h - 15. Suppose -2*u**5 - 9*u**3 + h*u**4 - u**5 + 5*u**4 + 0*u**3 + 3*u**2 = 0. What is u?
0, 1
Find x, given that 744/7*x - 384/7*x**2 + 6/7*x**3 + 0 = 0.
0, 2, 62
Let t(h) be the first derivative of -h**5/30 + h**4/6 - h**3/3 + h**2/3 + 39*h + 221. Let s(i) be the first derivative of t(i). Factor s(b).
-2*(b - 1)**3/3
Factor 2/7*l**2 + 234/7*l + 232/7.
2*(l + 1)*(l + 116)/7
Let w(o) be the first derivative of 1/2*o**2 + 4*o**3 + 123 - 1/4*o**4 - 12*o. Factor w(h).
-(h - 12)*(h - 1)*(h + 1)
Suppose -21/4*m**2 - 1/2*m**3 + 135/4*m + 0 = 0. Calculate m.
-15, 0, 9/2
Let c(a) be the second derivative of -a**5/10 + 2*a**4 - 35*a**3/3 + 24*a**2 - 4982*a. Suppose c(j) = 0. Calculate j.
1, 3, 8
Let f(y) = y**3 - 4*y**2 - 19*y + 10. Let h(l) = -15*l**3 + 55*l**2 + 265*l - 140. Let c = -452 - -397. Let j(p) = c*f(p) - 4*h(p). Factor j(b).
5*(b - 1)**2*(b + 2)
Let b(q) be the second derivative of q**5/4 + 5*q**4/12 - 160*q**3/3 - 160*q**2 - 2713*q. Factor b(i).
5*(i - 8)*(i + 1)*(i + 8)
Let x = 47 - 35. Suppose 9*u = 3*u + x. Let -2*i**4 + 3*i**4 + 2*i + 3*i**3 - u*i**4 + 4*i**2 - i**5 + i**2 = 0. Calculate i.
-1, 0, 2
Let c = 35681/5592 - -533/1864. Factor 2/3*a**2 - c*a + 6.
2*(a - 9)*(a - 1)/3
Suppose 0 = -3*h + 2*i + 6, 3*i + 18 - 47 = -5*h. Suppose 180 = h*d - 16. Find y, given that 343/3 - 1/3*y**3 - d*y + 7*y**2 = 0.
7
Let f(o) be the second derivative of -o**7/28 + 3*o**6/5 - 9*o**5/5 - 19*o**4/4 + 105*o**3/4 - 81*o**2/2 + o - 99. Let f(w) = 0. Calculate w.
-2, 1, 3, 9
Let 13772701*d**2 - 60*d - 13772696*d**2 - 31 - 34 = 0. What is d?
-1, 13
Let h be (210/25)/(-7)*((-16)/12 + -2). Let z(f) be the first derivative of f**2 - 1/8*f**h - 9 + 1/6*f**3 - 2*f. Factor z(i).
-(i - 2)*(i - 1)*(i + 2)/2
Let h(o) be the second derivative of -24/7*o**2 - 1/42*o**4 + 0 + 11/21*o**3 - 163*o. Factor h(i).
-2*(i - 8)*(i - 3)/7
Let j(p) be the third derivative of 5*p**8/336 + 17*p**7/42 + 17*p**6/8 - 197*p**5/12 - 65*p**4/6 + 150*p**3 - 2*p**2 - 113*p. Suppose j(s) = 0. What is s?
-10, -9, -1, 1, 2
Suppose 5*h + 68 = 4*r, 18125*r - h - 14 = 18124*r. Let -2/19*y**3 + 0 - 12/19*y**r + 14/19*y = 0. Calculate y.
-7, 0, 1
Let q = 1627 + -1581. Let n be -5 + (8/(-6) - q/(-6)). Factor 1/3*p**4 + 2/3*p + n*p**3 + 5/3*p**2 + 0.
p*(p + 1)**2*(p + 2)/3
Let u = 2 + -2. Let d = 559244 + -2236975/4. Factor 1/4*p**5 + d*p + 0*p**4 + u + 0*p**2 - 1/2*p**3.
p*(p - 1)**2*(p + 1)**2/4
Let x(v) = -3*v**5 - 10*v**4 - 31*v**3 + 98*v**2 + 2*v - 2. Let f(d) = -d**5 + d**4 - 5*d**3 + d - 1. Let p(w) = -2*f(w) + x(w). Solve p(b) = 0 for b.
-7, 0, 2
Suppose -11*h + 13*h = f - 54, -2*f - h + 108 = 0. Let k(z) be the second derivative of -6*z**3 + 0 - 36*z + f*z**2 + 1/4*z**4. Factor k(x).
3*(x - 6)**2
Let r = 277 + -278. Let k be r/(-4)*-14*4/(-7). Solve -2/7*n**4 + 32/7*n**3 + 512/7*n - 512/7 - 192/7*n**k = 0 for n.
4
Let n(c) = -2*c**3 + c**2 - 1. Let a be n(-1). Let x = -7/230 + 191/230. Factor 1/5*d**a + d + x.
(d + 1)*(d + 4)/5
Suppose -672 = 9*i - 690. Let d(v) be the first derivative of -4/15*v**3 - 3 + 0*v + 0*v**i. Determine a, given that d(a) = 0.
0
Suppose 3*f + 9*a = 4*a + 19, -4*a + 14 = 2*f. Let -3*v**3 + 53 + 3*v**2 + 63 + 3*v + f*v**2 - 122 = 0. What is v?
-1, 1, 2
Let a = -2 - -9. Let f(b) = -2*b**4 + a*b**4 - 7*b**3 + 3*b + 2*b**2 + b**2. Let h(t) = -t**4 + t**3 - t. Let g(r) = f(r) + 4*h(r). Factor g(w).
w*(w - 1)**3
Let w(j) be the third derivative of -j**7/1155 + 13*j**6/660 + 34*j**5/165 - j**2 + 17*j. Determine u so that w(u) = 0.
-4, 0, 17
Let n be ((-2)/6 + 165/9)*(74347/645 - 115). Suppose -162/5*w - 4/5*w**5 + 0 + 19/5*w**3 + 171/5*w**2 - n*w**4 = 0. What is w?
-9/2, 0, 1, 2
Let w = -8071/44 - -59665/308. Determine g so that 80/7 + 156/7*g - 4/7*g**3 + w*g**2 = 0.
-1, 20
Let f(r) be the second derivative of r**7/28 + 7*r**6/20 + 27*r**5/20 + 11*r**4/4 + 13*r**3/4 + 9*r**2/4 + 1167*r. Suppose f(c) = 0. What is c?
-3, -1
Let d(c) = 5*c**4 - 121*c**3 + 733*c**2 - 611*c - 6. Let l(a) = 5*a**4 - 122*a**3 + 736*a**2 - 612*a - 7. Let m(o) = -7*d(o) + 6*l(o). Factor m(u).
-5*u*(u - 11)**2*(u - 1)
Let v(y) be the second derivative of -3/4*y**2 - 1/180*y**6 + 1/12*y**5 - 1/4*y**3 - 118*y - 1/252*y**7 + 5/36*y**4 + 0. Let v(q) = 0. Calculate q.
-3, -1, 1, 3
Find i such that -27*i**5 - 99*i**4 - 219/4*i + 33/4*i**3 + 9/2 + 168*i**2 = 0.
-3, -2, 1/6, 1
Let m(x) be the third derivative of -2*x**7/315 + x**6/90 + 7*x**5/45 - 13*x**4/18 + 4*x**3/3 + 3832*x**2. Solve m(c) = 0 for c.
-3, 1, 2
Let m(j) be the second derivative of 0*j**2 + 0*j**3 - j - 1/60*j**5 + 3 - 1/4*j**4. Factor m(v).
-v**2*(v + 9)/3
Let j be (-994)/9940*(-7)/(14/4). Suppose 2/5*y + j + 1/5*y**2 = 0. Calculate y.
-1
Let u(b) be the third derivative of b**5/270 + 79*b**4/18 + 944*b**3/27 - 2*b**2 - 561. Suppose u(a) = 0. Calculate a.
-472, -2
Let h be 15 - 6 - 1 - 6. Let 814*u**h - 6*u - 407*u**2 - 408*u**2 - 9 = 0. What is u?
-3
Suppose 3*n - 2*g = -0 + 8, -4*g - 8 = -2*n. Solve 2*a**n + 8*a**2 - 11*a**2 + 2*a**2 = 0.
0
Let s = 2882201/5 - 576440. Factor 0 + 2*r + 11/5*r**2 + s*r**3.
r*(r + 1)*(r + 10)/5
Let c(u) be the second derivative of -u**6/70 - 249*u**5/140 - 1763*u**4/28 - 1681*u**3/14 + u + 312. Factor c(s).
-3*s*(s + 1)*(s + 41)**2/7
Let o(l) be the second derivative of 3*l**5/80 + 307*l**4/16 + 153*l**3/4 + 4048*l. Factor o(k).
3*k*(k + 1)*(k + 306)/4
Let h(t) be the first derivative of -t**3/3 - 18*t**2 - 35*t + 1752. Factor h(p).
-(p + 1)*(p + 35)
Suppose -4*x = 4*s + 32, 5*x + 3*s = -0*s - 34. Let v(p) = -p**2 + 37*p - 75. Let c(y) = 2*y**2 - 38*y + 74. Let b(j) = x*c(j) - 6*v(j). Factor b(a).
-4*(a - 2)*(a + 10)
Suppose -2*k = 3*m - 4, -2 = -3*m - 3*k - k. Suppose -1/2*d**3 - 1 - 5/2*d - m*d**2 = 0. What is d?
-2, -1
Let i(y) = 80*y - 80. Let g(n) = n**2 - 2*n + 1. Let h(l) = -5*g(l) - i(l). Factor h(k).
-5*(k - 1)*(k + 15)
Let t be 5/(-15)*21 - (-16 + 7). Let w(d) be the third derivative of -4/15*d**5 + 5/2*d**4 + 5*d**t + 0*d + 0 + 8/3*d**3. Suppose w(n) = 0. Calculate n.
-1/4, 4
Let x(h) be the third derivative of -h**5/120 - 695*h**4/48 + 349*h**3/2 + 8127*h**2. Let x(f) = 0. Calculate f.
-698, 3
Factor 0*d + 0 + 1/5*d**5 - 4/5*d**3 + 0*d**4 + 0*d**2.
d**3*(d - 2)*(d + 2)/5
Let s(w) be the first derivative of w**5/3 + 10*w**4 + 775*w**3/9 + 110*w**2 - 3766. Determine z so that s(z) = 0.
-12, -11, -1, 0
Let v(i) be the second derivative of -i**2 + 11/80*i**5 + 233*i - 25/12*i**3 + 0 - 31/48*i**4. Factor v(x).
(x - 4)*(x + 1)*(11*x + 2)/4
Let x(v) = v**3 + 16*v**2 + 31*v + 61. Let c be x(-14). Suppose -3*w + 7 = -17. Let -w*j**5 + 2*j**5 - c*j**5 + 4*j**3 - 30*j**4 - 9*j**3 = 0. Calculate j.
-1, -1/5, 0
Let f be (396/(-24) - -23)/(52/32). Factor 0*h**3 + 0*h + 2/5*h**f + 2/5 - 4/5*h**2.
2*(h - 1)**2*(h + 1)**2/5
Let x(k) be the second derivative of -k**5/30 - k**4 - 59*k**3/9 + 66*k**2 + 17*k - 23. Factor x(z).
-2*(z - 2)*(z + 9)*(z + 11)/3
Factor 3115/2*z + 5/4*z**2 + 1940645/4.
5*(z + 623)**2/4
Let h(c) be the second derivative of -c**4/72 + 13*c**3/36 - c**2 - c + 32. Determine u, given that h(u) = 0.
1, 12
Let -10/3*w**5 - 43/3*w**4 - 24*w**3 - 58/3*w**2 - 1 - 22/3*w = 0. What is w?
-1, -3/10
Determine r so that 240*r - 29*r**2 - 65*r**3 - 100 + 499*r**4 - 454*r**4 - 96*r**2 + 5*r**5 = 0.
-10, -2, 1
Let c(m) be the third derivative of -m**5/510 + 393*m**4/17 - 1853388*m**3/17 + 25*m**2 + 49*m. Determine f, given that c(f) = 0.
2358
Factor 18*g - 23/2*g**2 - 13/6*g**3 + 82/3.
-(g - 2)*(g + 1)*(13*g + 82)/6
Factor -1/10*m**2 + 32 - 79/5*m.
-(m - 2)*(m + 160)/10
Let u = -21335/7 - -3048. Let s(o) be the first derivative of u*o**3 + 15 + 9/14*o**2 + 6/7*o. Determine y so that s(y) = 0.
-2, -1
Let h(q) be the third derivative of q**5/540 + 107*q**4/216 - 753*q**2 - 2. Factor h(p).
p*(p + 107)/9
Let j be (48/54)/(-4) - (-46)/207. Solve 2/17*k**3 + 338/17*k + 52/17*k**2 + j = 0 for k.
-13, 0
Find o, given that -184/5 - 38/3*o - 2/15*o**2 = 0.
-92, -3
Suppose -3*y + 2*r - 133 = 0, -5*r + r + 8