d f, given that -15/8*f**4 + 15/8*f - 39/8*f**2 + g*f**3 - 1/4 = 0.
1/3, 2/5, 1
Let y(w) = w**2 + w + 2. Let b(m) = -32*m**2 - 20*m + 4. Suppose 19*t = 38 + 38. Let u(h) = t*y(h) + b(h). Factor u(n).
-4*(n + 1)*(7*n - 3)
Let i(g) be the first derivative of -1/30*g**6 + 1 + 0*g**2 + 1/12*g**4 + 1/20*g**5 - 1/6*g**3 + 12*g. Let q(k) be the first derivative of i(k). Factor q(d).
-d*(d - 1)**2*(d + 1)
Suppose -5*f + 30 = 5*o, 27213*f - 27217*f = 5*o - 26. Factor -12/7*s + 2/7*s**o + 2/7*s**3 + 0.
2*s*(s - 2)*(s + 3)/7
Let v be 14/(-66)*(2904/71148)/(1/(-42)). Suppose -4*n + 6 = -n. Factor 0 - v*l + 2/11*l**n.
2*l*(l - 2)/11
Let a(f) be the second derivative of -4*f**2 - 1/135*f**5 + 0*f**3 + 0 - 13*f + 1/54*f**4. Let s(m) be the first derivative of a(m). Factor s(h).
-4*h*(h - 1)/9
Let y = -222 - -226. Let z be (140/(-245))/(0 + y/(-14)). Factor -f**4 - 7/5*f**3 - 3/5*f**z + 0*f + 0 - 1/5*f**5.
-f**2*(f + 1)**2*(f + 3)/5
Let o be (-2226)/636 - (-5)/((-210)/(-153)). Find t such that -2/7 - o*t**2 + 3/7*t = 0.
1, 2
Let h(i) = -1. Let g(y) = 4*y**2 - 24*y + 10. Suppose -7*q + 12*q + 50 = 0. Let w(l) = q*h(l) + g(l). Factor w(v).
4*(v - 5)*(v - 1)
Let c be (-423855)/(-244894) - (-6)/(-26). Factor c*o**3 - 24*o**2 - 192 + 120*o.
3*(o - 8)*(o - 4)**2/2
Let v(z) = 3*z**2 + 9*z. Let t(f) = 13*f - 2. Let q(g) = 7*g - 1. Let m(l) = -11*q(l) + 6*t(l). Let h(o) = -3*m(o) + v(o). Factor h(j).
3*(j + 1)**2
Let g(x) be the second derivative of -38*x - 5/11*x**2 + 0 - 1/165*x**6 - 4/55*x**5 - 16/33*x**3 - 3/11*x**4. Let g(j) = 0. What is j?
-5, -1
Let y(d) = 2*d**3 - 29*d**2 + 15*d - 14. Let i be y(14). Let v(h) be the second derivative of 0 + 1/3*h**2 - 10*h + i*h**3 - 1/18*h**4. Factor v(g).
-2*(g - 1)*(g + 1)/3
Let r = 3198 - 3195. Suppose -a = u - 5, -4*a - 3*u = -2*a - 13. Factor 5*p**4 + 353*p**3 + 2*p - r*p**a + 4*p**2 - 361*p**3.
p*(p - 1)**2*(5*p + 2)
Let c(g) = -2*g**4 - 36*g**3 + 66*g**2 + 130*g - 362. Let d(h) = -7*h**4 - 72*h**3 + 131*h**2 + 259*h - 725. Let i(o) = -5*c(o) + 2*d(o). Factor i(b).
-4*(b - 5)*(b - 3)**2*(b + 2)
Let x(j) be the second derivative of -j**5/10 - j**4/6 + j**3/3 + j**2 - 589*j - 2. Factor x(h).
-2*(h - 1)*(h + 1)**2
Suppose -7115 = -5*g + 5*q, -4*g + q = -0*g - 5707. Let o = 8605/6 - g. Suppose -7/2*m**4 - o*m**2 + 41/6*m**3 - 1/3 + 2/3*m**5 + 5/2*m = 0. What is m?
1/4, 1, 2
Let s be 480/50*(-5)/1. Let j be 24/(-36) + 44/s*-4. Determine t, given that -2*t**2 + 0 - 3*t**j - 1/3*t = 0.
-1/3, 0
Let q be 22 - (-1)/(4/24). Factor -t**2 + 20*t - 3 + q*t + 29 + 26 - 3*t**2.
-4*(t - 13)*(t + 1)
Let a(m) be the second derivative of m**6/195 - 7*m**5/130 - m**4/26 + 19*m**3/39 + 14*m**2/13 + 2363*m. Determine w, given that a(w) = 0.
-1, 2, 7
Let z(a) = -644*a**3 - 1028*a**2 - 544*a + 92. Let i(c) = 3*c**3 + c - 2. Let y(r) = 84*i(r) + 2*z(r). Factor y(f).
-4*(f + 1)**2*(259*f - 4)
Let 689 + 2*p**3 + 3*p**3 + 116 - 1670*p - 65 + 380 + 545*p**2 = 0. Calculate p.
-112, 1, 2
Find c such that 15*c**4 - 24*c**5 + 35*c**3 - c**2 - 32*c**3 - 3*c**2 - 11*c**2 + 6*c + 15*c**5 = 0.
-1, 0, 2/3, 1
Find x such that 6 + 5*x**2 - 409*x - 58*x + 180 = 0.
2/5, 93
Let l(z) be the third derivative of 0*z - 25/96*z**4 - 2 - 1/480*z**6 + 0*z**3 + 4*z**2 - 1/24*z**5. Let l(k) = 0. What is k?
-5, 0
Let u be -10*(-25)/360 - 6/24. Let m = 4/723 + 470/2169. Factor 2/9 + m*c**2 + u*c.
2*(c + 1)**2/9
Let n(c) be the second derivative of -c**6/720 + 13*c**4/144 - c**3/3 + 33*c**2/2 - 10*c. Let o(x) be the first derivative of n(x). Let o(t) = 0. What is t?
-4, 1, 3
Determine v, given that 0 - 66/5*v**2 - 124/5*v - 2/5*v**3 = 0.
-31, -2, 0
Suppose -64 = 7*w - 11*w. Let f be 28/21 - w/(-6). Determine y, given that 2*y**4 + 15*y**3 + 2*y**5 - 2*y**2 - 21*y**3 + f*y**3 = 0.
-1, 0, 1
Let b(h) be the first derivative of -7/2*h - 48 - 1/4*h**2 + 7/6*h**3 + 1/8*h**4. Factor b(i).
(i - 1)*(i + 1)*(i + 7)/2
Let c(x) = -x**3 + 11*x**2 - 14*x - 9. Let j be c(9). Solve j*y**3 + 108*y**2 - 48*y**3 + 19*y**3 - 1458*y = 0 for y.
0, 27
Let u(h) be the first derivative of -h**5/130 + 2*h**4/39 + 7*h**3/13 - 56*h - 26. Let l(t) be the first derivative of u(t). Factor l(d).
-2*d*(d - 7)*(d + 3)/13
Let -1/5*d**4 + 37/5*d**2 + 0 - 6*d**3 + 186/5*d = 0. What is d?
-31, -2, 0, 3
Let n be 4476/(-640) + -11*21/(-33). Let g(u) be the third derivative of 0*u + 0 + n*u**5 - 7*u**2 - 1/16*u**4 + 3/16*u**3. Solve g(f) = 0 for f.
1, 3
Let a(f) be the second derivative of -f**5/10 - 5*f**4/6 + 41*f**3/3 + 45*f**2 - 1777*f. Factor a(l).
-2*(l - 5)*(l + 1)*(l + 9)
Let t(u) = -7*u**4 - 56*u**3 - 246*u**2 - 366*u - 179. Let l(m) = -4*m**4 - 28*m**3 - 123*m**2 - 182*m - 89. Let w(v) = 10*l(v) - 6*t(v). Factor w(p).
2*(p + 1)*(p + 2)**2*(p + 23)
Let z = 375258 - 375255. Determine w so that 0 + 2/3*w**z + 0*w + 4/3*w**2 - 2/3*w**4 = 0.
-1, 0, 2
Let o = 9743 + -9743. Let a(x) be the third derivative of -7/30*x**7 - 109/60*x**5 - 2/3*x**3 + 22*x**2 + 0*x - 21/20*x**6 - 3/2*x**4 + o. Solve a(i) = 0 for i.
-1, -2/7
Let c(k) be the third derivative of k**7/350 + k**6/200 - 81*k**5/100 - 81*k**4/40 + 755*k**2 - 2. Factor c(y).
3*y*(y - 9)*(y + 1)*(y + 9)/5
Find d, given that 179/5 + 536/5*d + 534/5*d**2 - 1/5*d**4 + 176/5*d**3 = 0.
-1, 179
Let g(u) = -u**3 + 16*u**2 + 195*u - 59. Let x be g(24). Let w(o) be the second derivative of 0 + x*o - 5/4*o**3 + 0*o**2 + 1/8*o**4. Factor w(r).
3*r*(r - 5)/2
Suppose 16*h - 11*h = 20. Let 0 - 319*t**2 + 2 + 323*t**2 + 6*t - 2*t**5 - h*t**3 - 6*t**4 = 0. What is t?
-1, 1
Let q(h) = h**2 + 11*h + 14. Let l be q(-5). Let p be (l/12 - -2) + (-8)/(-6). Suppose -10*o**2 - 6*o**3 - 21*o - 17*o + 36*o + p*o**2 = 0. Calculate o.
-1, -1/3, 0
Let n = 308756 + -308754. Factor 605/3*d**n + 5/3*d**4 + 0 + 0*d - 110/3*d**3.
5*d**2*(d - 11)**2/3
Suppose -13*q - 5 = -14*q. Factor 2409*g + 0 - q*g**2 - 2406*g + 1 + 1.
-(g - 1)*(5*g + 2)
Let d(b) be the first derivative of -13*b**4/5 - 44*b**3/3 - 24*b**2/5 + 1072. Let d(o) = 0. What is o?
-4, -3/13, 0
Suppose 2*u = -q + 4, -3*q = 3*u + u - 8. Determine z, given that -24/5*z**u - 26/5*z**3 - 12/5*z**4 - 8/5*z + 0 - 2/5*z**5 = 0.
-2, -1, 0
Solve 2/13*f**5 - 2/13*f**4 - 56/13*f**3 + 192/13*f - 64/13*f**2 + 288/13 = 0 for f.
-3, -2, 2, 6
Let i = -47998 + 48000. Factor 28 + 72/7*m**i + 30*m + 8/7*m**3.
2*(m + 2)*(2*m + 7)**2/7
Let k(a) = -29*a**3 + 1013*a**2 - 17319*a - 7. Let i(r) = -125*r**3 + 4390*r**2 - 75050*r - 30. Let m(l) = 7*i(l) - 30*k(l). Determine n so that m(n) = 0.
0, 34
Let -52 + 20*m**3 - 8152*m**4 - m**5 + 4056*m**4 - 10*m + 4068*m**4 + 3*m**5 + 80*m**2 - 12*m = 0. What is m?
-1, 1, 2, 13
Let b(j) = -6*j**2 - 33*j - 9. Let n(p) = 12*p**2 + 64*p + 19. Suppose 16*w = 28*w - 60. Let y(s) = w*b(s) + 3*n(s). Solve y(h) = 0 for h.
-4, -1/2
Let f(z) = -z - 2. Let d be f(-5). Suppose 2*l + 0*p - 25 = -p, 3 = d*p. Suppose -19 - 13 + l - 15*y + 5*y**2 = 0. What is y?
-1, 4
Let i be (-6)/(-14) - (-1139)/119. Factor 13*b + 3*b**3 - 5*b - i + 2*b**3 - 20*b**2 + 17*b.
5*(b - 2)*(b - 1)**2
Let x(a) be the third derivative of -a**7/2520 + a**6/48 - 7*a**5/60 + a**4 - 2*a**2 - a. Let o(k) be the second derivative of x(k). Factor o(u).
-(u - 14)*(u - 1)
Let 0 + 61/2*h**3 + 31/2*h**2 - 1/3*h**4 - 46/3*h = 0. Calculate h.
-1, 0, 1/2, 92
Let h(a) be the first derivative of 3*a**4/4 - 3*a**3 - 312*a**2 + 4211. Factor h(x).
3*x*(x - 16)*(x + 13)
Let n(t) = t + 11. Let f be 3/(-4)*(-16)/9*-6. Let l be n(f). Factor 8*i**3 - 5*i**2 - 10*i + 2*i**3 + 2*i**4 + l*i**4 + 0*i**3.
5*i*(i - 1)*(i + 1)*(i + 2)
Suppose 42*m**3 + 85*m**2 + 11*m**2 + 42*m - 40*m**3 + 52*m = 0. Calculate m.
-47, -1, 0
Suppose 13 = 3*a - 4*h - 16, -3*a + 41 = -h. Suppose 4*m = -m + a. Factor t**2 - 48*t - 32 - 10*t**2 - 9*t**2 - 167*t**m + 165*t**3.
-2*(t + 1)*(t + 4)**2
Let q(l) be the second derivative of 0*l**2 + 0*l**3 + 241*l + 0 - 602/15*l**6 + 7/6*l**7 - 8*l**4 + 169/5*l**5. Factor q(x).
x**2*(x - 24)*(7*x - 2)**2
Let s be (8 - 11) + -2 - -8. Let n(x) be the second derivative of 0 + 4*x**2 + 1/3*x**4 - 2*x**s + 2*x. Factor n(r).
4*(r - 2)*(r - 1)
Factor 1334667/7 + 4002/7*h + 3/7*h**2.
3*(h + 667)**2/7
Let c = 913 - 865. Let z be (c/28)/((-90)/(-140)) - 2. What is l in 2/9 - 2/9*l**5 + 4/9*l**2 - 2/3*l**4 - 4/9*l**3 + z*l = 0?
-1, 1
Let s(o) = -o**2 + 21*o + 26. Let r be