What is a?
-8, 8
Let n(s) be the first derivative of 1/15*s**3 - 1/20*s**4 - 174 + 0*s**2 + 0*s. Factor n(h).
-h**2*(h - 1)/5
Let t(h) be the second derivative of -20/3*h**3 + 40*h**2 + 5/12*h**4 + 0 + 54*h. Suppose t(d) = 0. What is d?
4
Let n = 853120 - 853118. Find f, given that 5/3*f**3 - 6*f**2 + 7/3*f + n = 0.
-2/5, 1, 3
Let k = -1126/5 + 2277/10. Let g(w) be the first derivative of 0*w - 10 - 5/9*w**3 - k*w**2. Factor g(z).
-5*z*(z + 3)/3
Let j be (-6)/(-75) + ((-484)/550)/(-11). Let r(d) be the first derivative of 0*d**2 + 0*d + 1/5*d**4 - j*d**5 + 16 + 0*d**3. Factor r(l).
-4*l**3*(l - 1)/5
Let j(z) = -z**2 - 2682*z - 2707. Let v(h) = h**2 + 2*h - 25. Let i(c) = -j(c) + v(c). Solve i(l) = 0 for l.
-1341, -1
Let v = -86856 - -86856. Factor 0*h**4 + 2/7*h**5 - 6/7*h**3 + 0 - 4/7*h**2 + v*h.
2*h**2*(h - 2)*(h + 1)**2/7
Let k(i) be the second derivative of i**6/90 - 7*i**5/4 + 178*i**4/3 - 8032*i**3/9 + 6912*i**2 + 1757*i. Factor k(o).
(o - 81)*(o - 8)**3/3
Suppose 6*i = 69 - 21. Suppose -2*s + v + i = 0, -3*s - 14 + 0 = 5*v. Factor 0*t**s - 1/6*t + 1/6*t**3 + 0.
t*(t - 1)*(t + 1)/6
Let j = 40 + -41. Let s be 2/((-9 + j)*1/(-4)). Find o such that -4/5*o**3 + 2/5*o**4 + s*o + 0 - 2/5*o**2 = 0.
-1, 0, 1, 2
Let y = -50675158/4807 + -140222/209. Let x = y + 11216. Suppose -90/23*c**3 + x*c + 50/23*c**4 - 52/23*c**2 - 16/23 = 0. What is c?
-1, 2/5, 2
Let k(n) = 2*n**3 - 1232*n**2 + 206067*n + 417302. Let p(f) = 2*f**3 - 1240*f**2 + 206068*f + 417304. Let g(q) = 6*k(q) - 7*p(q). Factor g(y).
-2*(y - 323)**2*(y + 2)
Let n(c) = c**2 - c. Let y(k) = -15*k**2 + 2310*k - 870. Let m(d) = -25*n(d) + y(d). Factor m(a).
-5*(a - 58)*(8*a - 3)
Find w such that 6 - 3*w**2 - 44*w + 3 + 9 + 59*w = 0.
-1, 6
Suppose -296*b - 587*b = -325 - 1441. Factor -b*m - 1/5*m**2 - 5.
-(m + 5)**2/5
Let c(s) be the second derivative of -1 + 3/2*s**2 + 28*s + 1/2*s**4 - 3/2*s**3. Solve c(k) = 0.
1/2, 1
Let y(t) be the third derivative of -t**7/1575 - 23*t**6/225 + 187*t**5/450 - 47*t**4/90 + 923*t**2. Find f, given that y(f) = 0.
-94, 0, 1
Factor 0 - 2/5*x**3 - 934/5*x - 936/5*x**2.
-2*x*(x + 1)*(x + 467)/5
Determine w so that 5*w**5 - 56*w**3 + 41*w**3 + 5*w**4 + 90*w**2 - 5*w**4 - 60*w**3 - 20*w**4 = 0.
-3, 0, 1, 6
Let a be ((-30)/100)/((-2187)/540)*261. Find c, given that a*c**3 + 0*c + 0 - 6*c**5 - 26*c**4 - 10/3*c**2 = 0.
-5, 0, 1/3
Let c(d) be the second derivative of -1/50*d**6 + 91*d - 2 + 0*d**2 + d**3 + 6/25*d**5 - 17/20*d**4. Suppose c(a) = 0. What is a?
0, 1, 2, 5
Let j(v) = 22*v**2 - 38*v + 10. Let p(f) = 4*f**2 - f - 4. Let x(l) = -2*j(l) + 12*p(l). Factor x(q).
4*(q - 1)*(q + 17)
Let u(c) be the first derivative of 4*c**5/5 - 13*c**4 + 40*c**3/3 + 48*c**2 - 4772. Factor u(g).
4*g*(g - 12)*(g - 2)*(g + 1)
Let n(v) be the third derivative of -v**5/330 + 919*v**4/66 - 41*v**2 - v - 59. Factor n(i).
-2*i*(i - 1838)/11
Let h(u) = -6*u**3 - 4. Let r(k) = k**4 - k**3 - 1. Let c(l) = h(l) - 4*r(l). Let j(n) = 21*n**4 + 10*n**3. Let z(p) = 22*c(p) + 4*j(p). Factor z(m).
-4*m**3*(m + 1)
Suppose -8*c + 10 = 3*z, z = -144*c + 146*c - 6. Factor 3/2*u**c + 0 + 3/2*u.
3*u*(u + 1)/2
Let m(v) = 7*v**3 + 236*v + 11*v**3 - 10*v**3 + 92*v**2 + 13 + 34 + 11. Let c(u) = u**3 - u**2 - 2. Let w(x) = 2*c(x) - 2*m(x). Factor w(i).
-2*(i + 3)*(i + 10)*(7*i + 2)
Solve 57/7*r**2 + 16/7*r**3 - 1/7*r**4 + 0 + 0*r = 0 for r.
-3, 0, 19
Factor 3307500 - 236250*v - 8550*v**2 - 2/7*v**4 - 610/7*v**3.
-2*(v - 10)*(v + 105)**3/7
Solve -1/2*x**5 - 31*x**3 - 38*x**2 - 7*x**4 + 63/2*x + 45 = 0.
-6, -5, -3, -1, 1
Let r = 374 + -365. Suppose r = 3*o - 3*s, 10*s - 6*s = o - 3. Suppose 0 + 12/7*i**o - 27/7*i**2 + 6/7*i = 0. Calculate i.
0, 1/4, 2
What is g in 9/4*g**4 - 9/2 + 69/4*g**3 + 15/4*g + 93/4*g**2 = 0?
-6, -1, 1/3
Suppose -42*f**4 + 622161*f**5 - 58 - 380*f**2 - 32 - 622159*f**5 + 306*f + 204*f**3 = 0. What is f?
1, 3, 15
Solve -632/3*u**2 + 512/3*u**4 + 12*u**5 - 464/3*u**3 + 428/3*u + 40 = 0.
-15, -1, -2/9, 1
Let t(f) = -20*f + 2. Let k be t(0). Suppose -4*r + 3*r**3 + 142*r - 60*r**k + 162*r = 0. Calculate r.
0, 10
Let j(f) = -8*f**4 - 355*f**3 + 29572*f**2 + 60150*f + 30285. Let x(z) = z**4 + z**3 + z**2 + 6*z - 1. Let v(a) = 2*j(a) + 18*x(a). Factor v(c).
2*(c - 174)**2*(c + 1)**2
Let a(f) be the first derivative of -6*f**2 - 20*f - 11/6*f**4 - 35/3*f**3 + 21. Let z(h) be the first derivative of a(h). Determine i so that z(i) = 0.
-3, -2/11
Let x(j) = 3*j**3 - 25*j**2 + 9*j - 5. Let l be x(8). Suppose -4*o + 18 = -6. Factor -o*i**2 - 9*i - 4*i**3 - 3*i**2 - 3*i + 7*i**l.
3*i*(i - 4)*(i + 1)
Let i(c) be the second derivative of 31/4*c**5 + 161*c + 25/12*c**4 + 5/14*c**7 + 0*c**2 - 5*c**3 + 23/6*c**6 + 0. Solve i(x) = 0.
-6, -1, 0, 1/3
Let f(d) = 11*d - 40. Let q be f(4). Factor 2*b**2 + q*b + 72 - 4*b - 11*b + 0*b - 13*b.
2*(b - 6)**2
Let j(i) = 2*i**2 + 20*i + 51. Let z be j(-6). Suppose 16*u - 20*u**3 - 24*u + 3*u**4 - u**z + 48*u**2 - 28*u = 0. Calculate u.
0, 2, 3
Let f(d) be the second derivative of d**4/66 + 1120*d**3/11 + 2822400*d**2/11 - 9078*d. Factor f(k).
2*(k + 1680)**2/11
Find f, given that 20675*f - 8 + 2 + 6 - 19677*f + 2*f**2 = 0.
-499, 0
Let w(o) be the third derivative of -o**7/350 + 419*o**6/200 - 2919*o**5/5 + 67130*o**4 + 274400*o**3 + 4*o**2 - 309*o. Factor w(l).
-3*(l - 140)**3*(l + 1)/5
Let l be (-1010)/(-8400) + (-3)/(-8) + 2. Let m = 6/35 + l. Determine y, given that 8/3*y**4 - 4*y**2 + 0 + 4*y**3 - m*y = 0.
-2, -1/2, 0, 1
Factor -2/3*w**2 - 472/3*w - 27848/3.
-2*(w + 118)**2/3
Let f(u) be the first derivative of -2/45*u**3 + 2/15*u**2 + 2/5*u - 46. Determine a so that f(a) = 0.
-1, 3
Let v(m) be the third derivative of 2*m**3 - m**2 - 13 - 1/60*m**5 - 1/6*m**4 + 0*m. Find x, given that v(x) = 0.
-6, 2
Let v(g) be the first derivative of 4/3*g**4 + 0*g**2 + 0*g - 4/9*g**3 + 68. What is b in v(b) = 0?
0, 1/4
Determine i, given that -2381643/4 + 2673/2*i - 3/4*i**2 = 0.
891
Let t(g) = -2*g**3 + 7*g**2 - 3*g + 2. Suppose -9 = 3*p - 6*p. Let r be t(p). What is a in 14*a**2 - 4 + 10*a**r - 25*a**2 - 4*a = 0?
-2
Suppose -101 - 2281 = 2*n. Let c = n - -1191. Factor 0*u + 11/4*u**2 - 1/4*u**3 + c.
-u**2*(u - 11)/4
Suppose 245*g - 252*g = 210. Let q be (-10)/2 - 1 - 185/g. Factor q*h**3 + 1/6*h + 0 + 1/3*h**2.
h*(h + 1)**2/6
Let d be (19/(-133))/(1/(-21)). Let a(v) be the first derivative of -8 + v**d + 3*v**2 - 3/2*v**4 + 0*v - 3/5*v**5. Factor a(i).
-3*i*(i - 1)*(i + 1)*(i + 2)
Let z(v) = 7*v - 165. Let d = 321 + -297. Let w be z(d). Factor 0*y + 0 + 0*y**w + 2/21*y**4 - 2/21*y**5 + 0*y**2.
-2*y**4*(y - 1)/21
Let d = -295 + 481. Let b be ((-80)/24)/5 + d/171. Determine p so that b + 2/19*p**2 + 8/19*p = 0.
-2
Let v = 32/20683 + 661632/144781. Let -10/7*t - 36/7*t**3 + 0 + v*t**2 - 2/7*t**5 + 16/7*t**4 = 0. Calculate t.
0, 1, 5
Let r be (-90)/(-20)*8/6. Let s be (-9)/(-18)*-8 + r. Determine u so that -4/9*u**s - 2/9*u + 2/9*u**3 + 4/9 = 0.
-1, 1, 2
Let f = 32014 + -32009. Let r(p) be the third derivative of -1/200*p**6 + 0*p**4 + 0 + 0*p + 42*p**2 + 0*p**3 + 1/100*p**f. Factor r(j).
-3*j**2*(j - 1)/5
Factor -2/9*o**2 + 6076/9*o + 0.
-2*o*(o - 3038)/9
Let o(y) be the second derivative of 5*y + 38*y**3 + 10/3*y**4 - 57/5*y**5 + 8/15*y**6 + 14 - 28*y**2. Determine i so that o(i) = 0.
-1, 1/4, 1, 14
Let p(g) be the third derivative of -1/21*g**7 + 1/168*g**8 + 8*g**2 + 1 + 0*g + 7/60*g**6 - 1/10*g**5 + 0*g**4 + 0*g**3. Solve p(a) = 0 for a.
0, 1, 3
Factor 23*l**3 - 36*l + 13/2*l**4 + 6*l**2 + 1/2*l**5 + 0.
l*(l - 1)*(l + 2)*(l + 6)**2/2
Let j(g) = 15*g**2 + 4764*g - 682158. Let n(q) = 4*q**2 + 1192*q - 170540. Let z(i) = -6*j(i) + 23*n(i). Factor z(x).
2*(x - 292)**2
Factor -19 + 9*h + 115/4*h**2 + 3/4*h**3.
(h + 1)*(h + 38)*(3*h - 2)/4
Let x(g) be the second derivative of -g**4/12 - 3*g**3 + 211*g**2/2 - 633*g. Let w be x(-26). Suppose t**w + 1/4*t + 0 + 5/4*t**2 = 0. Calculate t.
-1, -1/4, 0
Let o(i) be the first derivative of -i**6/8 + 6*i**5/5 - 27*i**4/8 + 4*i**3 - 15*i**2/8 + 3473. Factor o(z).
-3*z*(z - 5)*(z - 1)**3/4
Let q(o) be the first derivative of -4*o**2 - 12*o - 6 - 1/54*o**4 + 4/9*o**3. Let y(l) be the first derivative of q(l). Find m such that y(m) = 0.
6
Factor -4*h**2 + 122 + 17 + 452*h + 58 + 244 + 15.
-4*(h - 114)*(h + 1)
Determine t so that 16/9*t*