 - 2 + 3*w**2 = 0.
-1, 1
Let z(g) be the first derivative of 22 + 0*g**5 + 1/15*g**3 + 1/40*g**4 + 0*g - 3/2*g**2 - 1/600*g**6. Let q(a) be the second derivative of z(a). Factor q(f).
-(f - 2)*(f + 1)**2/5
Factor -35/2*n**3 + 0 + 3/2*n**4 + 48*n**2 + 18*n.
n*(n - 6)**2*(3*n + 1)/2
Let p(c) be the first derivative of -4*c**3/27 - 88*c**2/9 - 1492. Suppose p(n) = 0. Calculate n.
-44, 0
Let w(h) = -7*h. Let y(g) = -2*g**2 - 9*g - 114. Let s(b) = -10*w(b) - 2*y(b). What is l in s(l) = 0?
-19, -3
Let f(q) = -14*q**2 - 27*q + 131. Let j(p) = -23*p**2 - 55*p + 261. Let z(v) = -5*f(v) + 3*j(v). Let g be z(5). Factor -b**2 + 8/5 - 2/5*b**g + 14/5*b.
-(b - 2)*(b + 4)*(2*b + 1)/5
Suppose 16 = 4*i - a, 1565*i = 1566*i - 5*a - 42. Let -128/9*t**4 - 2 + 46/3*t + 352/9*t**3 - 344/9*t**i = 0. Calculate t.
1/4, 3/4, 1
Let t = -257 - -277. Let -t*u - 173*u**5 - 17 + 16*u**3 + 9*u**3 - 50*u**2 + 57 + 10*u**4 + 168*u**5 = 0. What is u?
-2, -1, 1, 2
Let p(h) = -9*h - 321. Let q be p(-36). Find d such that -d**5 + 10*d**2 - 4*d**4 - 8 - 20*d**3 - 18*d**q + 4*d + 37*d**3 = 0.
-2, 1
Let a = -5301 - -21207/4. Let -1/8*n**3 + 1 + a*n - 3/8*n**2 = 0. Calculate n.
-4, -1, 2
Let x(a) be the second derivative of 35/2*a**2 - 20/3*a**3 - 1/6*a**6 + 0 + 2*a**5 - 5/2*a**4 + 80*a. Factor x(r).
-5*(r - 7)*(r - 1)**2*(r + 1)
Determine f, given that -22183/8*f**3 - 24895/8*f**2 - 1127*f**4 - 343/2*f**5 - 2197/8 - 12337/8*f = 0.
-13/7, -1/2
Factor 270*y + 484*y**2 + 320 + 4*y**4 + 1145*y**3 - 32*y + 350*y - 88 - 1013*y**3.
4*(y + 1)**2*(y + 2)*(y + 29)
Let u(d) = 10*d**2 + 245*d - 253. Let s be u(1). Factor 3/4*k + 1/4*k**s - 3/4*k**3 + 1/4*k**4 - 1/2.
(k - 2)*(k - 1)**2*(k + 1)/4
Let z = 29 - 8. Suppose -7*f + 35 = -2*f - 5*p, 5*p + z = -2*f. Suppose -6*u - 3 - 9/4*u**f = 0. What is u?
-2, -2/3
Let v(s) = s**3 + 8*s**2 - 26*s - 150. Let m = -938 - -929. Let q be v(m). Let 88/5*l - 12*l**2 + 18/5*l**q - 2/5*l**4 - 48/5 = 0. Calculate l.
2, 3
Let z(b) be the second derivative of -b**4/90 - 32*b**3/45 + 76*b**2/5 + 168*b + 7. Solve z(t) = 0.
-38, 6
Let d(q) be the first derivative of -q**7/168 - q**6/72 + 5*q**5/24 - 5*q**4/8 - 7*q**3/3 + q**2/2 - 89. Let x(j) be the third derivative of d(j). Factor x(k).
-5*(k - 1)**2*(k + 3)
Factor 106/9*c + 2/9*c**3 + 32/9*c**2 - 140/9.
2*(c - 1)*(c + 7)*(c + 10)/9
Suppose 0 = -2*n - 4*u - 4176, 2*u = 4*n - 574 + 8966. Let b = 2096 + n. Factor 1/5*h**5 - 4/5*h**2 + 0 + 0*h + b*h**3 + 3/5*h**4.
h**2*(h - 1)*(h + 2)**2/5
Let q be (4/20*-4)/(7/(-35)). Let i be q/(-16)*2*0/(-3). Find x such that i*x - 1/3*x**2 + 1/3 = 0.
-1, 1
Let y be (-183)/793 - 765/(-442). Factor -y*q**4 + 0 - 3/2*q**5 + 3*q**3 + 0*q**2 + 0*q.
-3*q**3*(q - 1)*(q + 2)/2
Let i(b) = -8*b**5 - 12*b**4 - 8*b**2 - 6*b - 6. Let z(t) = -t**5 - 3*t**4 - t**3 + t**2 + t - 1. Let f(h) = -i(h) + 6*z(h). Factor f(g).
2*g*(g - 3)*(g - 2)*(g + 1)**2
Let r(c) = c + 38. Let o be r(-31). Factor p**4 - 11345*p - 5*p**3 + 5 + o - p**2 + 11362*p.
(p - 4)*(p - 3)*(p + 1)**2
Let y(a) = 17*a**2 - 151*a + 1932. Let l(j) = -3*j**2 + 30*j - 386. Let b(q) = -11*l(q) - 2*y(q). Let v be b(-38). Factor 0*m + 3/7 - 3/7*m**v.
-3*(m - 1)*(m + 1)/7
Determine l, given that 28/9*l**3 + 10/9 - 2/9*l**5 + 2/9*l**4 + 52/9*l**2 + 38/9*l = 0.
-1, 5
Factor 1/8*i**3 + 287/8*i + 49/4*i**2 + 95/4.
(i + 1)*(i + 2)*(i + 95)/8
Let q = -994/2655 - -176/295. Factor -q*v**2 - 22/9*v - 20/9.
-2*(v + 1)*(v + 10)/9
Let t = -30027 + 30069. Let c(k) be the first derivative of 0*k**2 + 0*k + 1/5*k**4 + t - 2/5*k**3 + 2/25*k**5. Suppose c(n) = 0. What is n?
-3, 0, 1
Determine s, given that 212*s**2 - 9*s**5 + 83*s - 131*s - 105*s**4 + 62*s**4 + 28*s**3 = 0.
-4, -3, 0, 2/9, 2
Let d be (-12)/(-27)*5229/14. Let -341*v**2 + 10 - 14*v + 170*v**2 + d*v**2 - 9*v = 0. What is v?
-5, 2/5
Let h be (88 + -75)*(-10 + 132/13). Find l, given that -330/7*l + 3/7*l**h + 9075/7 = 0.
55
Let a = 57420 - 57418. Factor 2/9*y**4 - 2 + 4/9*y**3 - 16/9*y**a - 4*y.
2*(y - 3)*(y + 1)**2*(y + 3)/9
Determine w so that 324/7 - 342/7*w + 22/7*w**3 + 2/7*w**4 - 6/7*w**2 = 0.
-9, -6, 1, 3
Let o(c) = c**3 + 6*c**2 + 74*c + 2. Let l be o(0). Factor -1/6*x**l + 0 + 1/6*x.
-x*(x - 1)/6
Suppose -34*s = -25*s - 45. Factor s*n**2 - 48 + 168 - 44*n + 27*n - 108*n.
5*(n - 24)*(n - 1)
Let o(s) be the first derivative of s**6/240 - 7*s**5/40 - 5*s**3/3 + 8*s**2 + 15. Let x(u) be the third derivative of o(u). Solve x(z) = 0.
0, 14
Find b such that 2791*b - 12*b**3 + 14*b**3 - 144 - 1060*b**2 - 3012 + 2973*b - 1550*b = 0.
1, 3, 526
Suppose 0 = -22*v + 19*v + 72. Suppose -14*q + v = -6*q. Find n such that -1/5*n**q + 1/5 - 1/5*n**2 + 1/5*n = 0.
-1, 1
Let y be (-288)/(-252) + (-56)/49. Let z(q) be the third derivative of 0 + y*q**4 - 1/600*q**6 - 32*q**2 + 1/100*q**5 - 2/15*q**3 + 0*q. What is x in z(x) = 0?
-1, 2
What is v in -423536/19*v - 250498/19*v**2 - 7422/19*v**4 + 766310/19*v**3 - 84872/19 + 18/19*v**5 = 0?
-1/3, 1, 206
Factor 694857854/7*u + 4218/7*u**3 - 2/7*u**4 - 2965254/7*u**2 + 0.
-2*u*(u - 703)**3/7
Factor 2/9*h**2 - 80/9 + 4/3*h.
2*(h - 4)*(h + 10)/9
Let y be (-1 + (-15)/(-20))*(-44646)/12. Let p = -930 + y. Find z, given that -1/8*z + 3/4 - p*z**2 = 0.
-3, 2
Let i(h) be the first derivative of -8/15*h**4 + 6/5*h**2 - 7/50*h**5 + 17/15*h**3 - 16*h - 16. Let b(k) be the first derivative of i(k). Factor b(o).
-2*(o - 1)*(o + 3)*(7*o + 2)/5
Let o(n) = 11*n**3 + 38*n**2 - 220*n + 378. Let f(u) = 13*u**3 + 39*u**2 - 222*u + 377. Let p(i) = -6*f(i) + 7*o(i). Determine y, given that p(y) = 0.
4, 24
Let j be (-7)/14 - (129/(-2) + -1). Suppose -71 = -2*t - j. Solve 2*d**3 + 0*d**3 + 2*d**2 + 3*d**2 - 7*d**t = 0 for d.
0, 1
Let q(f) be the first derivative of -5*f**3/3 + 13595*f**2 - 36964805*f - 6564. Solve q(n) = 0.
2719
Suppose 0 = 2*n - 31 + 25. Let r be (3/7)/(42/490). What is m in 0 - 2*m**n - 4/9*m + 10/9*m**4 + 14/9*m**2 - 2/9*m**r = 0?
0, 1, 2
Determine t, given that -166/3*t**2 - 197/3*t + 41/3*t**3 + 10/3 = 0.
-1, 2/41, 5
Let h(z) be the third derivative of -z**7/210 - 7*z**6/15 - 161*z**5/60 - 53*z**4/12 + z**2 + 138*z + 2. Solve h(f) = 0.
-53, -2, -1, 0
Let t = -1449659 - -1449662. Determine w so that 0*w**2 + 0 - 2/7*w**t + 32/7*w = 0.
-4, 0, 4
Let o(z) be the second derivative of -z**8/5040 - z**7/360 - 7*z**6/540 - z**5/45 + z**3/3 + 3*z**2 + z. Let n(q) be the second derivative of o(q). Factor n(a).
-a*(a + 1)*(a + 2)*(a + 4)/3
Let v(j) = 58*j**2 + 206*j - 264. Let b(q) = 15*q**2 + 51*q - 66. Let f(k) = -23*b(k) + 6*v(k). Find n such that f(n) = 0.
-22, 1
Let k be -2 + (-67530)/462 - 6/21. Let n = 149 + k. Factor 36/11 + n*s**3 + 24/11*s**2 - 6*s.
6*(s - 1)**2*(s + 6)/11
Let h(x) be the first derivative of -2/27*x**3 - 6272/9*x + 109 + 112/9*x**2. Determine j so that h(j) = 0.
56
Let u(o) be the second derivative of -o**7/70 + 3*o**5/10 + o**4 + 3*o**3/2 - 27*o**2 + 8*o - 3. Let c(g) be the first derivative of u(g). Factor c(h).
-3*(h - 3)*(h + 1)**3
Let m(r) be the first derivative of 4*r**5/35 + 2*r**4/7 - 23*r**3/21 - 27*r**2/14 + 18*r/7 + 1682. Let m(a) = 0. Calculate a.
-3, -3/2, 1/2, 2
Let i(u) be the first derivative of u**4/4 + 40*u**3/3 + 307*u**2/2 - 348*u + 1808. Factor i(d).
(d - 1)*(d + 12)*(d + 29)
Suppose 0 = -4*s - 0 + 8. Let o be s*(4 + 20/(-8)). Factor 2*m**o - 4 - 4*m**2 + 1 + 3 - 8*m + m**4.
m*(m - 2)*(m + 2)**2
Let a(v) be the third derivative of -v**6/60 + v**4/12 - v**3/3 - 60*v**2. Let y(q) = q**2 - q - 1. Let f(p) = -a(p) + 2*y(p). Find g such that f(g) = 0.
-2, 0, 1
Let v(z) be the second derivative of 2/3*z**4 + 20*z + 0*z**2 + 0 + 1/5*z**5 + 0*z**3. Factor v(y).
4*y**2*(y + 2)
Let r(c) be the second derivative of 0 + c**3 + 11/48*c**4 + 95*c - 5/2*c**2 - 13/80*c**5 + 1/168*c**7 - 1/40*c**6. Suppose r(s) = 0. Calculate s.
-2, 1, 5
Let v(h) = -170*h**2 - 238*h - 1776. Let i(f) = 32*f**2 + 48*f + 355. Let c(l) = -16*i(l) - 3*v(l). Factor c(d).
-2*(d + 11)*(d + 16)
Suppose -368*f + 706 = -955 + 189. Solve 22/9*b**3 + 0*b**2 + 0 + 0*b - 1/9*b**f = 0 for b.
0, 22
Suppose 3/4*i**2 - 3/4 + 0*i = 0. What is i?
-1, 1
Let n(k) be the second derivative of k**5/100 - 73*k**4/30 - 59*k**3/6 - 74*k**2/5 + 5047*k. Factor n(a).
(a - 148)*(a + 1)**2/5
Solve -1/10*v**3 + 81/10 - 111/10*v + 31/10*v**2 = 0 for v.
1, 3, 27
Let h(p) = p - 3*p + 2*p + 