 n(h).
2*(h - 1)**2*(h + 1)*(h + 5)
Suppose -139*m + 222 = -28*m. Let c(t) be the second derivative of 0*t**5 + 0*t**3 + 1/15*t**6 + 0*t**4 + 0*t**m - 19*t - 1/42*t**7 + 0. Factor c(d).
-d**4*(d - 2)
Suppose -84 = -24*w + 972. Factor w*v + 36*v**2 + 5 - 448*v + 10 + 73.
4*(v - 11)*(9*v - 2)
Let c(q) be the second derivative of -7*q - 3645/4*q**2 - 45/2*q**3 - 3 - 5/24*q**4. Let c(u) = 0. Calculate u.
-27
Let i = 241 + -239. Factor -8*j - 3727*j**3 - 9*j**i + 3*j**2 + 3729*j**3.
2*j*(j - 4)*(j + 1)
Let s(v) = -23*v**2 + 63*v + 686. Let f(x) = 25*x**2 - 63*x - 685. Let z(c) = -10*f(c) - 11*s(c). Factor z(u).
3*(u - 29)*(u + 8)
Factor -75*v**4 - 14*v**2 + 197*v - 112*v**3 + 76*v**4 + 13*v**2 - 33*v**3 - 52*v.
v*(v - 145)*(v - 1)*(v + 1)
Let i(b) = b**2 + 29*b - 96. Let c be i(-34). Factor 1100*j**2 - 160*j - 1694*j**3 + 2*j - c*j + 16.
-2*(7*j - 2)*(11*j - 2)**2
Let s(g) be the second derivative of -g**6/15 - 1117*g**5/40 - 25853*g**4/8 + 14770*g**3/3 + 4900*g**2 + 1379*g. Suppose s(p) = 0. Calculate p.
-140, -1/4, 1
Let r(o) be the second derivative of o**6/210 + 71*o**5/28 + 7832*o**4/21 - 15842*o**3/21 - 2805*o. Find y, given that r(y) = 0.
-178, 0, 1
Let i = 23592 + -47145/2. Let -9/8*s**2 - 12*s - i = 0. Calculate s.
-26/3, -2
Let x(c) = c**3 + 5*c**2 + 2*c. Suppose 11 = 4*k + 27. Let v be x(k). Factor v - 29*n**3 - 48 + 24*n**3 + 15*n**2 + 30*n.
-5*(n - 4)*(n - 1)*(n + 2)
Let u(t) = -1. Let b(q) = q**2 - q - 13. Let n = 22 - 13. Suppose -64 = -n*x + 134. Let l(m) = x*u(m) - 2*b(m). Solve l(h) = 0.
-1, 2
Let g(l) be the third derivative of l**4/24 - l**3/2 + 2*l**2 - 59*l. Let o be g(5). Let -1/2*q**o + 0 + 1/2*q**3 - q = 0. Calculate q.
-1, 0, 2
Suppose 7*z = 51 + 152. Let x = z - 26. Factor -x*r**2 - 12 - 1 + 1 - r - 11*r.
-3*(r + 2)**2
Suppose 2*s - l + 3*l = -8, l + 4 = 0. Suppose -2*h - 8*w - 19 = -13*w, 4*w - 35 = -5*h. Solve 1/8*r**h + 1/8*r + s - 1/4*r**2 = 0 for r.
0, 1
Let h(q) be the first derivative of 5*q**3/3 + q**2/4 - 6110. Determine d, given that h(d) = 0.
-1/10, 0
Factor -2637444580000/3*r**3 - 427069862019362500/3*r**5 - 814400/3*r + 1678074114025000/3*r**4 + 128/3 + 2072648000/3*r**2.
-4*(2545*r - 2)**5/3
Suppose -2*x = -5*h + 5, 2*h - h - 3*x = 1. Suppose -17*j + h = -33. Find t, given that 28*t**2 + j*t - 57*t**2 - 32*t + 32*t**2 = 0.
0, 10
Let j(h) = 4*h**5 - 27*h**4 - 24*h**3 + 47*h**2 - 5*h + 5. Let d(r) = -r**5 + r**4 + r**3 - r**2 + r - 1. Let z(l) = 5*d(l) + j(l). Factor z(u).
-u**2*(u - 1)*(u + 2)*(u + 21)
Let l(h) be the second derivative of h**4/6 - 292*h**3/3 + 580*h**2 - 1383*h. Factor l(q).
2*(q - 290)*(q - 2)
Find j, given that -251/9*j - 166/3 - 1/9*j**2 = 0.
-249, -2
Find s, given that -32/15*s**3 - 42/5*s**4 + 0 + 42/5*s**2 + 16/15*s + 16/15*s**5 = 0.
-1, -1/8, 0, 1, 8
Let l(f) = 2*f**3 - 4*f**2 + 1. Let g(d) = 20*d**3 + 92*d**2 + 236*d + 124. Let c(p) = g(p) - 8*l(p). Factor c(y).
4*(y + 1)**2*(y + 29)
Suppose 8*i - 3*i = 10. Let u be (i/9)/((-1)/(-9)). Factor -4*a - 4*a**2 - 31 + 2*a**3 + 35 + u*a**3.
4*(a - 1)**2*(a + 1)
Factor 617*n + 1296 - 51*n + 838*n - 40*n**3 + 104*n**2 + 36*n**3.
-4*(n - 36)*(n + 1)*(n + 9)
Let i(j) be the third derivative of -j**6/210 + 5*j**5/7 + 24*j**4 + 2088*j**3/7 + 2964*j**2. Factor i(l).
-4*(l - 87)*(l + 6)**2/7
Factor -4/9*s**2 - 304/9*s + 0.
-4*s*(s + 76)/9
Let v = 621299 - 621295. Determine j, given that -150/7 - 2/7*j**5 - 156/7*j**2 - 20/7*j**3 + 310/7*j + 18/7*j**v = 0.
-3, 1, 5
Let m(k) = 28*k**2 + 84*k - 24. Let z(j) = 3*j + 2. Let y(o) = m(o) + 12*z(o). Factor y(s).
4*s*(7*s + 30)
Let l = 249 + -99. Let b be 18/(-5)*l/(-585). Factor 0*c**2 + 2/13*c**5 + 18/13*c**3 + b*c**4 + 0*c + 0.
2*c**3*(c + 3)**2/13
Factor 0 - 30*m + 33/4*m**3 + 43/2*m**2 + 1/4*m**4.
m*(m - 1)*(m + 4)*(m + 30)/4
Suppose -y = 12*m - 8*m, -7 = -3*y - 5*m. Suppose -z = 5*c - 14, 4*c + 3*z - 16 = z. Determine p so that -34 + 61 + 29 - y*p**c - 20*p = 0.
-7, 2
Let z(n) be the first derivative of -2 - 76*n - 40*n**2 - 4/3*n**3. Factor z(v).
-4*(v + 1)*(v + 19)
Determine r so that 526*r - 3160/3 + 1/3*r**2 = 0.
-1580, 2
Let r(a) = -3 + 2*a**3 + 4 - 10 + 5*a**2 + 8 - 5 - 6*a. Let f be r(-3). Factor -5/2*y**f + 80 + 0*y - 15*y**2.
-5*(y - 2)*(y + 4)**2/2
Let g(o) be the third derivative of 0 - 1/30*o**5 - 1/336*o**8 + 0*o**3 + 1/30*o**6 - 1/8*o**4 + 1/105*o**7 - 25*o**2 + 0*o. Factor g(s).
-s*(s - 3)*(s - 1)*(s + 1)**2
Let x(l) be the first derivative of 4*l**5/5 + 23*l**4 - 304*l**3/3 + 104*l**2 - 4304. Factor x(i).
4*i*(i - 2)*(i - 1)*(i + 26)
Let l(b) be the first derivative of -65 + 2/33*b**3 + 72/11*b + 12/11*b**2. Solve l(r) = 0 for r.
-6
Let d = -158 + 171. Factor a**2 + d + 14 - 35 + 24 - 8*a.
(a - 4)**2
Let f(r) be the third derivative of 0*r + 0*r**3 + 1/10*r**5 + 100*r**2 + 3/8*r**4 - 1/40*r**6 + 0. Factor f(y).
-3*y*(y - 3)*(y + 1)
Find k, given that -22*k**2 + 10*k**5 - 10*k**3 + 10*k**2 + 4*k**4 - 8*k**5 = 0.
-3, -1, 0, 2
Let z be 8 - 3 - (-12 - -11). Suppose 51*s + z = 53*s. Let 0 + 32/7*x**2 - 2*x**4 + 2/7*x**5 + 16/7*x**s + 0*x = 0. What is x?
-1, 0, 4
Factor -14 + 27/2*y**3 - 27/2*y + 29/2*y**2 - 1/2*y**4.
-(y - 28)*(y - 1)*(y + 1)**2/2
Let o = 106017 + -740455/7. Let r = -235 + o. Let 3/7 - 13/7*h + r*h**2 - 11/7*h**3 + 2/7*h**4 = 0. Calculate h.
1/2, 1, 3
Let s(b) be the third derivative of -b**7/1680 + b**6/24 + 11*b**5/20 - b**4/12 + 95*b**3/6 + 240*b**2. Let d(x) be the second derivative of s(x). Factor d(o).
-3*(o - 22)*(o + 2)/2
Factor 83 - 549*r + 86 + r**2 - 1 + 380.
(r - 548)*(r - 1)
Let 1 + 122/3*o**2 - 367/3*o = 0. Calculate o.
1/122, 3
Let g(v) = -24*v**2 + 66*v + 10. Let t be 2/(4 + (-9)/6*2). Let i(a) = a**2 + 1. Let z(w) = t*g(w) + 20*i(w). What is m in z(m) = 0?
-2/7, 5
Find n such that -13*n**4 - 2*n**5 + 124*n**3 - 5*n**4 - 216*n**2 - 15464*n + 15576*n = 0.
-14, 0, 1, 2
Factor -1015/2*i**2 - 480 + 1/2*i**4 + 974*i + 13*i**3.
(i - 20)*(i - 1)**2*(i + 48)/2
Let d be ((-2342)/29 - -2)/(-42). Let a = d - 14/87. Factor 8/7*s**4 - 2/7*s - 2/7*s**5 + 8/7*s**2 + 0 - a*s**3.
-2*s*(s - 1)**4/7
Factor -3*g + 1/4*g**3 + 1/4*g**2 + 0.
g*(g - 3)*(g + 4)/4
Let s(t) = 7*t**2 - 158*t + 684. Let u be s(17). Factor -6*n**2 - 3/2*n**3 + 57/2*n - u.
-3*(n - 2)*(n - 1)*(n + 7)/2
Let r = 157 - 107. Suppose 47*v - r*v = -57. Solve -7*t + 3*t**2 - 33 + v*t + 18 = 0 for t.
-5, 1
Let k(a) be the first derivative of -36*a**2 + 36/5*a**5 - 117 + 0*a - 2/3*a**6 + 52*a**3 - 29*a**4. Determine y, given that k(y) = 0.
0, 1, 2, 3
Let j(w) be the third derivative of w**7/945 + 13*w**6/135 + 3836*w**2. Factor j(t).
2*t**3*(t + 52)/9
Let z = 1585 - -1190. Solve -258*c**3 - z*c + 36*c**4 + 1143*c + 1273 + 443*c**2 - 2*c**5 + 477*c**2 - 121 = 0 for c.
3, 4
Let m be (-3 + -9)*2/(-3). Suppose -4*s = -4*x - 24, 2*s = -5*x + 9*x + 18. Suppose 6*h - m*h**2 - 6*h - 6*h**s + 8*h = 0. What is h?
-2, 0, 2/3
What is n in 51*n**3 - 16*n**2 - 27*n**2 - 106*n**2 - 140*n + 272 + 15*n**2 - 49*n**3 = 0?
-2, 1, 68
Let w = -177491 - -177493. Determine i, given that -3/4*i**w + 3/2*i + 6 = 0.
-2, 4
Suppose 8*w - 594 = -10*w. Let z = w + -30. Factor -3*a**3 - 3*a**4 - a**2 + 4*a**2 - a**5 + 4*a**z.
-a**2*(a - 1)*(a + 1)*(a + 3)
Let x(h) be the second derivative of -h**4/6 - 235*h**3/3 - 924*h**2 + 9*h - 92. Factor x(f).
-2*(f + 4)*(f + 231)
Let y(c) be the second derivative of 3*c**5/20 - 477*c**4/4 + 56643*c**3/2 + 171363*c**2/2 + 3661*c. Factor y(s).
3*(s - 239)**2*(s + 1)
Let o be ((-31)/(1679 + 26))/((-1)/11). Factor 2/5*v**2 + 4/5*v - 3/5 - 4/5*v**3 + o*v**4.
(v - 3)*(v - 1)**2*(v + 1)/5
Suppose -14 - 41 = 5*m. Let r(a) = 20*a**2 - 49*a + 51. Let b(w) = -53*w + 2*w**2 + 12 - 59*w + 2*w**2 - 2 + 102*w. Let x(t) = m*b(t) + 2*r(t). Factor x(h).
-4*(h - 2)*(h - 1)
Let f = -939 + 951. Let j(v) be the third derivative of 1/2*v**3 - 1/5*v**5 - f*v**2 + 0 + 0*v + 3/8*v**4. Determine k, given that j(k) = 0.
-1/4, 1
Suppose -3*b + 1225 = 4*b. Suppose -6*p - p + b = 0. Suppose 47*n**2 + p*n**3 + 20*n + 93*n**2 + 244*n**3 - 24*n**3 = 0. Calculate n.
-2/7, 0
Suppose 3*r - h - 6 = 0, 7*r - 11*r - 4*h = 8. Let m be ((-6)/(-24))/(r*2/16). Determine p so that -4/5*p**m + 0*p + 0 - 2/5*p**3 = 0.
-2, 0
Let s = -18931 - -18931. Find l, given that s + 4/7*l**3 + 24/7*l + 20/7*l**2 = 0.
-3, -2, 0
Suppose -14 = 14*r - 42. Factor 311