 + 6 - 6608*h**2 + 3326*h**2 = 0. Calculate h.
-2, 1/34
Suppose 36695*c - 36715*c + 40 = 0. Find r such that 8 + 20/3*r**c - 68/3*r = 0.
2/5, 3
Let q(o) be the first derivative of o**6/24 - 5*o**5/4 + 125*o**4/8 - 625*o**3/6 - 4*o**2 + 2*o + 38. Let p(z) be the second derivative of q(z). Factor p(x).
5*(x - 5)**3
Let n(c) be the third derivative of c**6/780 - 1247*c**5/65 + 1555009*c**4/13 - 15512769784*c**3/39 - 122*c**2 - 3*c + 3. Find p such that n(p) = 0.
2494
Factor -705894 + 2058*y - 3/2*y**2.
-3*(y - 686)**2/2
Let d(c) be the first derivative of -c**4/12 + 22*c**3/3 - 242*c**2 - 139*c - 96. Let g(n) be the first derivative of d(n). Find p such that g(p) = 0.
22
Let q(l) = l**3 + l + 1. Let u be q(2). Suppose 8*f - 5 = u. Factor -13*y**f - 4*y**2 + 282*y**3 - 35*y**4 - 10*y + 2*y**2 - 222*y**3.
-5*y*(y - 1)**2*(7*y + 2)
Factor -5*l + 63*l**2 + 0*l**2 + l**2 + 471 + 5*l**3 + 16*l**2 - 551.
5*(l - 1)*(l + 1)*(l + 16)
Let v be 6*(-12)/162*((-3060)/200 - -15). Let -44/15*o**2 - 14/15*o**4 + 26/15*o + v*o**5 - 2/5 + 12/5*o**3 = 0. Calculate o.
1, 3
Suppose 7*z - 4*t = 330, 78*z - 21 = 76*z - 7*t. Let v be (-24)/(-14) - (-4)/14. Suppose z*j + 2/3*j**3 - 10*j**v - 98/3 = 0. Calculate j.
1, 7
Let a(p) be the second derivative of 2346125*p**6/3 - 221940*p**5 + 66188*p**4/3 - 864*p**3 + 16*p**2 + 3*p + 310. Solve a(f) = 0 for f.
2/137, 2/25
Determine j, given that 4/7*j**5 - 563492160*j**2 + 130166688960*j - 12027402059904 + 1219680*j**3 - 1320*j**4 = 0.
462
Suppose 2*d - 3*v = -0 + 8, 2*d = v + 8. Let a(h) = 2*h**2 - 19*h + 41. Let m be a(3). Factor d*y**2 - 16*y**5 - 2*y**4 - 2 + m*y**3 + 34*y**5 - y - 19*y**5.
-(y - 1)**2*(y + 1)**2*(y + 2)
Let y be (-290)/87*6/(-5). Find p such that 5*p**4 + 6*p**2 - 8*p**2 - 7*p**y - 4*p**3 = 0.
-1, 0
Suppose 16*s - 187 - 757 = 0. Factor -171 + s + 249 + 3*d**2 - 219*d + 79.
3*(d - 72)*(d - 1)
Suppose -4*u = x + 5, -5*x + 10*u - 15*u = -5. Suppose l - x*t - 2 = -4*t, 13 = 4*l - t. Factor -3/7*p**l + 0 - 27/7*p - 18/7*p**2.
-3*p*(p + 3)**2/7
Let z(m) be the second derivative of 23/4*m**3 - 9/40*m**5 + 1/20*m**6 - 9/8*m**4 - 32*m - 9*m**2 + 2. Solve z(x) = 0 for x.
-3, 1, 4
Let a be 10/(-3)*(-33 + 27). Suppose -9*w = w - a. Factor -3/8*t + 3/8*t**w - 3/4.
3*(t - 2)*(t + 1)/8
Let q be (1 + 2)/(33/(-22)) - -277. Suppose -q*z**3 - 3069*z + 134*z**3 - 274*z**2 + 138*z**3 - 2883 + 85*z**2 = 0. Calculate z.
-31, -1
Let l(z) be the second derivative of -1/30*z**6 + 1/12*z**4 - 2*z + 1/2*z**3 - 3/20*z**5 + 31 + 0*z**2. Find t such that l(t) = 0.
-3, -1, 0, 1
Let u(m) = -m - 139. Let q be u(-4). Let w be (-324)/q*5/8. Factor -21/2*d + 0 + w*d**2.
3*d*(d - 7)/2
Let j(s) be the second derivative of -s**4/3 + 6920*s**3/3 - 5985800*s**2 - 57*s - 16. Find k, given that j(k) = 0.
1730
Let r be 330/55 + -6 + 0. Let g(k) be the second derivative of 0 - 2*k - 1/66*k**4 + r*k**2 - 1/165*k**6 - 1/55*k**5 + 0*k**3. Factor g(y).
-2*y**2*(y + 1)**2/11
Let y(z) be the first derivative of z**9/1512 + z**8/210 + z**7/420 - z**6/30 - z**3/3 + 3*z + 43. Let r(c) be the third derivative of y(c). Factor r(l).
2*l**2*(l - 1)*(l + 2)*(l + 3)
Let a(t) be the first derivative of 0*t + 1/180*t**6 - 1/20*t**5 - 29 + 10*t**3 - 1/3*t**4 + 0*t**2. Let o(m) be the third derivative of a(m). Factor o(q).
2*(q - 4)*(q + 1)
Let h(d) be the first derivative of 1/18*d**4 - 35 + 0*d + 100/9*d**2 + 40/27*d**3. Factor h(x).
2*x*(x + 10)**2/9
Let i(j) be the first derivative of 0*j + 248 + 0*j**2 + 9/38*j**4 - 4/57*j**3. Factor i(a).
2*a**2*(9*a - 2)/19
Suppose 25 - 35 = -5*w. Suppose 1 + w = v. Factor 0 + 3/8*s + 3/8*s**v - 3/4*s**2.
3*s*(s - 1)**2/8
Determine w so that -26*w**2 + 4446245 + 82*w**2 - 51*w**2 - 9430*w = 0.
943
Determine t so that -2/3*t**2 - 796/3*t - 794/3 = 0.
-397, -1
Let a(c) be the third derivative of -c**7/1260 - c**6/20 + 121*c**5/360 + 13*c**4/12 - c**2 - c - 191. Suppose a(u) = 0. Calculate u.
-39, -1, 0, 4
Let m(x) be the second derivative of 0*x**2 - 3*x + 1/120*x**6 + 3 + 23/48*x**4 + 5/8*x**3 + 9/80*x**5. Factor m(j).
j*(j + 1)*(j + 3)*(j + 5)/4
Suppose 0 = -5*n - 4*y - 85554, -n + 2*y = -2*y + 17106. Let m be n/(-25) + (-6)/15 - 1. Factor -m - 2839*h + 247*h - 72*h**3 + 381 - 3586 - 3*h**4 - 648*h**2.
-3*(h + 6)**4
Let x(m) be the third derivative of 2*m**7/105 - 4*m**6/15 + 4*m**5/5 + 16*m**4/3 - 128*m**3/3 - 3*m**2 + 87*m. Let x(g) = 0. What is g?
-2, 2, 4
Let o(c) = -c**2 - 18*c - 38. Let s be o(-21). Let q = s - -101. Factor q*d + 1/8*d**3 + 1/4*d**2 + 0.
d**2*(d + 2)/8
Let a(z) be the third derivative of -5/336*z**8 + 4/3*z**5 + 0*z - 25 + 5/2*z**4 - 2/21*z**7 + 0*z**3 + 1/24*z**6 - z**2. Find y such that a(y) = 0.
-3, -2, -1, 0, 2
Let q(v) = -2*v**2 + 468*v + 1260. Let n(h) = 3*h**2 - 936*h - 2538. Let t(k) = 6*n(k) + 11*q(k). Factor t(j).
-4*(j + 3)*(j + 114)
Let -19190*t + 9586*t - 216 + 9562*t + 3*t**2 = 0. What is t?
-4, 18
Let u = 167 - 123. Factor 120*p - 50*p**2 + 0 - 28 - u.
-2*(5*p - 6)**2
Let l = 31378/5 - 28354/5. Find d such that 972/5*d + 0 + 9/5*d**4 + 327/5*d**3 + l*d**2 = 0.
-18, -1/3, 0
Let l(j) be the first derivative of -5 - 3/2*j**5 + 0*j + 5/2*j**3 + 9/8*j**4 + 1/4*j**6 - 3*j**2. Find z such that l(z) = 0.
-1, 0, 1, 4
Let d be (459/(-45) + 10)*6/(72/(-330)). Determine p so that -7/2*p**4 - d*p + 1/2*p**5 + p**2 + 5*p**3 + 5/2 = 0.
-1, 1, 5
Suppose -f = 5*j - 11 + 4, 6*j = -f + 8. Let x(l) be the first derivative of 2/11*l - 2/33*l**3 + 1/22*l**4 + j - 1/11*l**2. Factor x(i).
2*(i - 1)**2*(i + 1)/11
Let s(o) be the third derivative of -o**8/672 + 79*o**7/840 - 63*o**6/160 + 149*o**5/240 - 37*o**4/96 + o**2 - 54*o. Find k such that s(k) = 0.
0, 1/2, 1, 37
Suppose 1443 + 2260 = 7*w. Let g = 1059/2 - w. Factor 0 - g*b**2 + b**3 - b + 1/2*b**4.
b*(b - 1)*(b + 1)*(b + 2)/2
Let n = -260121/4 + 65031. Determine v, given that 3/4*v - 9/2 + n*v**2 = 0.
-3, 2
Let c(u) be the second derivative of -u**6/30 - 61*u**5/10 - 241*u**4/12 - 20*u**3 - 2*u - 1604. Find k, given that c(k) = 0.
-120, -1, 0
Factor 2/3*i**3 - 502/3*i**2 + 502/3 - 2/3*i.
2*(i - 251)*(i - 1)*(i + 1)/3
Let a be 78/20 + (-29)/(-290). Let y be (-2*1/a)/(39/(-156)). Suppose 4/3 - 16/3*i**y - 4*i = 0. What is i?
-1, 1/4
Let i(g) be the third derivative of g**6/120 + 11*g**5/60 - g**4/6 + 49*g**3/3 + 3*g**2 - 12*g. Let d be i(-12). Solve -1/2*b**d - 3*b - 5/2 = 0.
-5, -1
Let v(s) be the first derivative of 48778*s**5/45 - 116899*s**4/18 - 16588*s**3/9 - 1732*s**2/9 - 80*s/9 + 524. Solve v(p) = 0.
-2/29, 5
Let j be (1 - (-2)/(-14)) + (93160/1428)/137. Solve -8/3 + 1/2*d**2 + j*d = 0.
-4, 4/3
Suppose -259*x + 290*x - 155 = 0. Let p(o) be the third derivative of 0*o**3 + 0*o**x - 2*o**2 + 1/8*o**4 + 0 + 0*o - 1/40*o**6. What is h in p(h) = 0?
-1, 0, 1
Let d = -327046 - -327049. Let -1458*y - 26244 - 27*y**2 - 1/6*y**d = 0. What is y?
-54
Let v(r) be the third derivative of -r**5/18 + r**4/2 - 16*r**3/9 + 6*r**2 + 486. Factor v(n).
-2*(n - 2)*(5*n - 8)/3
Let s(i) be the second derivative of -i**7/10080 + i**6/240 - i**4/12 + 21*i**2 - 13*i. Let p(z) be the third derivative of s(z). Determine v so that p(v) = 0.
0, 12
Suppose 5*z + 1928*g - 19 = 1925*g, -13 = z - 5*g. Solve 4/3*p + z + 2/9*p**2 = 0 for p.
-3
Let u(d) = -3*d**4 + 23*d**3 + 24*d**2 - 42*d + 2. Let p(w) = -5*w**4 + 23*w**3 + 26*w**2 - 41*w + 3. Let r(h) = 2*p(h) - 3*u(h). Let r(f) = 0. What is f?
-22, -2, 0, 1
Suppose 3067 = 5*c - 4*o, 0 = -2*c - 3*c + 2*o + 3061. Let v = 614 - c. Factor -3/2*f**4 - 3/2*f - 3/2 - 3/2*f**5 + 3*f**v + 3*f**2.
-3*(f - 1)**2*(f + 1)**3/2
Let l(q) = 5*q**4 - 3*q**3 - 9*q**2 - 15*q - 14. Let d(j) = -2*j**4 + 2*j**3 + 5*j**2 + 7*j + 6. Let u = -367 - -360. Let z(y) = u*d(y) - 3*l(y). Factor z(b).
-b*(b + 1)*(b + 2)**2
Factor -88055 + 18*u - 939*u + 88055 + 3*u**2.
3*u*(u - 307)
Let n(k) be the second derivative of -1/3*k**4 + 22 - 2/75*k**6 + 0*k**2 + 0*k**3 - 5*k + 6/25*k**5. Factor n(x).
-4*x**2*(x - 5)*(x - 1)/5
Let n(g) be the third derivative of g**5/150 + g**4/6 - 11*g**3/15 + 22*g**2 - 27*g. Find s, given that n(s) = 0.
-11, 1
Let z(x) = 91*x**4 - 1034*x**3 + 3369*x**2 + 1472*x + 146. Let l(n) = 80*n**4 - 1035*n**3 + 3371*n**2 + 1473*n + 147. Let j(d) = -6*l(d) + 5*z(d). Factor j(k).
-(k - 38)*(k - 4)*(5*k + 1)**2
Let v(d) be the second derivative of -d**