-(h - 2)*(5*h - 1)
Determine a, given that -23/3*a - 1/6*a**2 + 49/2 = 0.
-49, 3
Let f(h) be the third derivative of -h**6/540 - h**5/27 - 7*h**4/27 - 8*h**3/9 - 2*h**2 - 267*h. Factor f(b).
-2*(b + 2)**2*(b + 6)/9
Let n(g) be the first derivative of g**5/330 - 7*g**4/132 - 17*g**2/2 - 211. Let q(w) be the second derivative of n(w). Factor q(x).
2*x*(x - 7)/11
Let f(q) be the first derivative of 0*q + 4/11*q**3 - 2 - 1/22*q**4 + 16/11*q**2. Solve f(d) = 0.
-2, 0, 8
Let a(h) be the first derivative of -5/18*h**3 + 25/2*h**2 - 1/360*h**5 + 7/144*h**4 - 6 + 0*h. Let c(y) be the second derivative of a(y). Solve c(l) = 0.
2, 5
Suppose -48*o - 28*o = 42107 - 42411. Let 9/2*y**o + 9/2*y**3 + 3/2*y**5 + 3/2*y**2 + 0*y + 0 = 0. What is y?
-1, 0
Let x be 0/(-1) + 16/(-8). Let i be 28/15 - x/15. Let -20*w + 5*w**2 + 8 + w**2 + 8*w - 2*w**i = 0. What is w?
1, 2
Let u(d) be the second derivative of -d**5/4 + 3735*d**4/4 - 2790045*d**3/2 + 2084163615*d**2/2 + d + 39. Find x, given that u(x) = 0.
747
Let t = -203389 + 1830503/9. Determine a so that 2/9*a**5 + t*a + 0 + 0*a**2 - 4/9*a**3 + 0*a**4 = 0.
-1, 0, 1
Let y(n) be the first derivative of 2*n**3/3 - 19*n**2/2 + 19*n + 188. Let b be y(1). Determine s so that 4/5*s + 0 - 2/5*s**b = 0.
0, 2
Let w(h) be the third derivative of 3/5*h**5 + 20/3*h**3 + 1/60*h**6 - 13/4*h**4 + 0*h + 0 + 120*h**2. Factor w(s).
2*(s - 1)**2*(s + 20)
Let f(m) be the second derivative of -11*m**4/24 - 329*m**3/18 + 10*m**2/3 - 11*m - 3. Solve f(z) = 0.
-20, 2/33
Let r(l) = 82*l - 111. Let f be r(4). Let g be 3*(f/819 - 4/26). Determine o so that 1/3*o + 2/3 + 1/3*o**4 - g*o**3 - o**2 = 0.
-1, 1, 2
Let n(g) be the third derivative of g**6/24 + 7*g**5 - 5*g**4/6 - 280*g**3 + 52*g**2 - 5*g. What is z in n(z) = 0?
-84, -2, 2
Let r(l) be the second derivative of 0 + 16*l**2 - 10/3*l**3 - 63*l + 1/6*l**4. Suppose r(q) = 0. Calculate q.
2, 8
Let y(g) = g**3 - g**2 + g + 1. Let p = 840 - 836. Let o(n) = -n**3 + 19*n**2 - 28*n - 40. Let v(s) = p*y(s) + o(s). Factor v(b).
3*(b - 2)*(b + 1)*(b + 6)
Solve -160*i**2 + 475*i + 42*i**3 - 120 + 15*i**5 + 340*i**4 - 532*i**3 - 28*i**2 - 32*i**2 = 0 for i.
-24, -1, 1/3, 1
Let i = 50689/88 + -6332/11. Let s be (-70)/(-72) - (-6)/(-27). Factor -i*u**2 + 9/8*u - s.
-3*(u - 2)*(u - 1)/8
Let q(k) be the second derivative of -k**6/70 - 57*k**5/140 - 99*k**4/28 - 81*k**3/14 + 20*k + 62. Factor q(n).
-3*n*(n + 1)*(n + 9)**2/7
Let s(h) = -h**3 - 44*h**2 + 140*h - 48. Let x be s(-47). Let t be (583/110 - x)*5/3. Factor -27/4*k**4 + 9/2*k - t*k**2 - 3/4 + 3/2*k**5 + 12*k**3.
3*(k - 1)**4*(2*k - 1)/4
Suppose 0 = -32*i + 50*i - 18. Let w(z) = -26*z**2 - 82*z + 294. Let m(f) = 5*f**2 - f - 1. Let d(r) = i*w(r) + 6*m(r). Factor d(y).
4*(y - 18)*(y - 4)
Let q(w) be the second derivative of -w**6/10 - 159*w**5/20 + 165*w**4/4 - 167*w**3/2 + 84*w**2 + 1639*w. Factor q(c).
-3*(c - 1)**3*(c + 56)
Let s(v) be the third derivative of 2*v**3 + 0 + 11/12*v**4 - 14/45*v**5 + 1/36*v**6 - 5*v**2 + 0*v. Factor s(d).
2*(d - 3)**2*(5*d + 2)/3
Let x(w) be the second derivative of 1/4*w**4 - 9*w**3 + 243/2*w**2 + 3 - 2*w. Factor x(t).
3*(t - 9)**2
Let h(o) = 4*o + 2. Let x(q) = -q. Let c(z) = -h(z) + 4*x(z). Let v(y) = -y**2 - 10*y - 3. Let a(s) = -3*c(s) + 2*v(s). Factor a(d).
-2*d*(d - 2)
Let n be (-2728)/(-3135) + (-10 - 444/(-45)). Factor 2/19 + n*j**2 + 16/19*j.
2*(j + 1)*(7*j + 1)/19
Factor 4/7*g**2 + 6370576/7 + 10096/7*g.
4*(g + 1262)**2/7
Let q be 9 - 7 - 2 - ((-45)/60)/((-15)/(-10)). Factor 2*s + 0 + s**3 + q*s**4 - 7/2*s**2.
s*(s - 1)**2*(s + 4)/2
Let s = -401193 - -1604777/4. Find n such that -s*n - 9 + 1/4*n**2 = 0.
-4, 9
Let g = 1008 - 1062. Let w be (4/(-84))/(-4 - g/14). Factor 0*r + 0 + w*r**3 + 2/3*r**2.
r**2*(r + 2)/3
Let q = 2572741/5 - 514537. Factor -34/5 - 3/5*b**3 - 87/5*b - q*b**2.
-(b + 1)*(b + 17)*(3*b + 2)/5
Factor 37459 - 5917*w + 1883*w - 5*w**2 - 1666*w - 43154.
-5*(w + 1)*(w + 1139)
Let w = 76651/7 - 76649/7. Find l such that w*l**2 - 44/7*l + 242/7 = 0.
11
Factor 356*a**3 - 56*a**3 + 1320*a**2 - 966*a**3 + 3*a**4.
3*a**2*(a - 220)*(a - 2)
Let f be 290/6*72/60. Suppose -2*o + f = 27*o. Factor 1/2*y - y**3 + 3/4*y**4 + 0 - 5/4*y**o.
y*(y - 2)*(y + 1)*(3*y - 1)/4
Suppose f - 5*p + 48 = 0, 3*f + 3*p = 6*p - 24. Factor 1/2*r**f + 5*r + 0.
r*(r + 10)/2
Let t be (-6)/2*((-800)/750 + 3/45 + 0). Factor -t*l**3 - 11/2*l - 7*l**2 - 3/2 + 1/2*l**4 + 1/2*l**5.
(l - 3)*(l + 1)**4/2
Suppose 9*s - 14*s - 20 = 0. Let f be 2 - (s + 4)/(-1). Find x such that -7*x**3 - f - 151*x**2 - 3*x + 0 + 163*x**2 = 0.
-2/7, 1
Let g be (-20)/(-24)*(6579/340)/43. Determine i, given that -g + 9/2*i**2 + 33/8*i = 0.
-1, 1/12
Let g(x) be the third derivative of 1/60*x**6 - 33*x**2 - 1/12*x**4 + 0*x**3 - 1/315*x**7 + 1/90*x**5 + 0 + 2*x. Factor g(a).
-2*a*(a - 3)*(a - 1)*(a + 1)/3
Let z(p) be the second derivative of 0 + 21/100*p**5 + 0*p**2 + 36*p - 4/5*p**4 + 2/5*p**3. Factor z(u).
3*u*(u - 2)*(7*u - 2)/5
Let i(n) be the second derivative of n**5/5 - 47*n**4/12 + 43*n**3/6 - 748*n + 7. Suppose i(r) = 0. Calculate r.
0, 1, 43/4
Let p(f) be the second derivative of -f**4/28 + 19*f**3/14 - 51*f**2/7 + 5*f - 206. Factor p(w).
-3*(w - 17)*(w - 2)/7
Let l(k) be the first derivative of -k**7/280 + k**6/40 + k**5/10 + k**3/3 + 31*k + 23. Let x(b) be the third derivative of l(b). Factor x(p).
-3*p*(p - 4)*(p + 1)
Let i(z) = z**3 - z**2 + 2. Let o be i(-1). Let y be (o/4)/((-6)/(-6)). Factor 1/2*n**4 + y*n**2 - 1/2*n**3 + 0*n + 0.
n**3*(n - 1)/2
Let a(f) be the third derivative of f**5/270 - 17*f**4/108 + 20*f**3/9 + 2*f**2 + 333. What is b in a(b) = 0?
5, 12
Let w(a) be the second derivative of -1/30*a**4 - 3/100*a**5 + 2/5*a**2 + 0 + 1/6*a**3 + 49*a. Determine b so that w(b) = 0.
-1, 4/3
Let j(k) be the third derivative of 0*k**3 - 1/60*k**5 + 0*k + 0 - 17/24*k**4 - 121*k**2. Let j(i) = 0. What is i?
-17, 0
Let h be (23/(-55) - (-16)/(-88))*-10. Let -h*s**4 + 65*s**3 + 5*s**2 - 3*s**2 + 4*s**2 - 15*s**5 - 50*s**3 = 0. Calculate s.
-1, -2/5, 0, 1
Let a(f) = 23*f**2 - 39*f + 40. Let u(p) = -158*p**2 + 273*p - 279. Let l(z) = 41*a(z) + 6*u(z). Find k, given that l(k) = 0.
1, 34/5
Find v, given that -11/4*v**2 + 60 + 8*v - 1/4*v**3 = 0.
-12, -4, 5
Let o(j) be the third derivative of j**6/72 - 2059*j**5/90 - 5773*j**4/72 - 275*j**3/3 - 2429*j**2. Factor o(b).
(b - 825)*(b + 1)*(5*b + 2)/3
Suppose 9*p + 432 = -18*p. Let t(w) = -2*w**2 - 36*w - 61. Let i be t(p). Solve 3/5*q - 3/5*q**i - 3/5 + 3/5*q**2 = 0.
-1, 1
Suppose -452/11 - 18/11*r**2 - 2038/11*r = 0. Calculate r.
-113, -2/9
Factor -60*p**2 + 108*p**2 + 6*p**3 - 13*p**3 + 3*p**3 - 64*p**2.
-4*p**2*(p + 4)
Suppose x = 5*z - 30, -x - 4 = -3*z + 14. Let d be (-12)/4*-1 + z. Let -3*q**2 + d*q + 7*q**2 + q**3 + 9 + 2*q**2 - 5 = 0. What is q?
-4, -1
Let f be 1*(-16)/(-256)*2. Let u(x) be the second derivative of 5/4*x**3 + f*x**5 + 5/8*x**4 + 5/4*x**2 + 10*x + 0. Factor u(k).
5*(k + 1)**3/2
Let c be 8/(-42)*((-2601)/102 + 22). Solve -c*g**2 - 2 + 8/3*g = 0.
1, 3
Suppose -39*l - 26 = 3*w - 43*l, 4*w = -l + 16. Find z such that 8/7 + 72/7*z**3 - 72/7*z - 162/7*z**4 + 22*z**w = 0.
-1, 2/9, 1
Let r(c) be the third derivative of c**7/210 - c**6/8 + 11*c**5/10 - 29*c**4/6 + 12*c**3 + c**2 - 276. Factor r(y).
(y - 9)*(y - 2)**3
Let l = -20/3 + 55/6. Let p = -612333 - -612336. Factor -15/2*o + l*o**p + 5 + 0*o**2.
5*(o - 1)**2*(o + 2)/2
Let a = 56 - 7. Suppose -3 = -2*q + a. Factor -2*d**2 + q*d - 15*d - 2 - 15*d.
-2*(d + 1)**2
Factor 2/7*i**2 - 100/7*i + 962/7.
2*(i - 37)*(i - 13)/7
Let s(m) = -18*m - 123. Let f be s(-7). Let o(p) be the second derivative of 7/30*p**4 + 0 - p**f + 7*p + 9/5*p**2 - 1/50*p**5. Solve o(a) = 0 for a.
1, 3
Let k(s) be the second derivative of 1/14*s**7 + 33/20*s**5 - 38*s + 3/5*s**6 - 6*s**3 + 1/2*s**4 - 12*s**2 + 0. Determine w so that k(w) = 0.
-2, -1, 1
Factor 0 - 1/5*y**4 - 279/5*y**2 + 29/5*y**3 + 891/5*y.
-y*(y - 11)*(y - 9)**2/5
Let r be (-434)/837*6/20. Let z = r - -73/180. Determine j so that -z - 1/8*j**2 + 3/8*j = 0.
1, 2
Let y = -26 + 109. Let -31 - 336*s**2 + 200*s**3 + y*s - 23 - 30*s**4 - 23*s**3 + 160*s = 0. Calculate s.
2/5, 1, 3/2, 3
Suppose 14*z - 1904 = 21*z. Let g be (102/z*2/3)/(-1). Let -g*b**4 + 0 + 1/4*b**2 - 1/4*b + 1/4*b**3 = 0. What is b?
-1