1, 2
Find r such that 0*r + 50/7*r**2 + 0 - 52/7*r**3 + 2/7*r**4 = 0.
0, 1, 25
Let p be ((-71)/3)/(46/322). Let l = -163 - p. What is c in 2/3*c**5 + 8/3*c + 4/3*c**4 + 0 - l*c**2 - 2*c**3 = 0?
-2, 0, 1
Factor -28*w**4 + 105*w - 204*w + 777*w + 512 + 866*w**2 + 538*w + 81*w**3 + 52*w**3 + w**5.
(w - 16)**2*(w + 1)**2*(w + 2)
Let u(f) = 373*f**3 + 4847*f**2 - 25*f + 17. Let g be u(-13). Solve 0 - 2/9*o**3 - 2/9*o**g + 2/9*o + 2/9*o**2 = 0.
-1, 0, 1
Let g(b) be the first derivative of -1800*b**3 - 202500*b - 39 + 60*b**4 + 27000*b**2 - 4/5*b**5. Factor g(s).
-4*(s - 15)**4
Let x(p) = 2*p**2 + p + 1. Let z(w) = w**5 - 2*w**4 + 10*w**2 + 3*w + 4. Let q(a) = -4*x(a) + z(a). Factor q(j).
j*(j - 1)**3*(j + 1)
Suppose 464648/9 + 1928/9*t + 2/9*t**2 = 0. Calculate t.
-482
Let q(f) = 82*f**2 + 7923*f - 11. Let p(v) = -15*v**2 - 1584*v + 2. Let b(c) = 33*p(c) + 6*q(c). Suppose b(w) = 0. Calculate w.
-1578, 0
Let u(m) = m**3 - 2*m**2 - 2*m. Let c(n) = -21*n**3 + 2837*n**2 - 2272*n + 452. Let s(w) = -c(w) + 4*u(w). Factor s(x).
(x - 113)*(5*x - 2)**2
Suppose 0 = -5*t + d + d + 16, 0 = 3*t - d - 10. Solve -7*a**4 - a**t + 6*a**2 + 2*a**4 + 62*a - 65*a + 3*a**5 = 0.
-1, 0, 1
Suppose 60 + 60 = 9*i + 102. Let c(l) be the first derivative of -2/21*l**3 + 0*l**i + 0*l - 16. Solve c(v) = 0 for v.
0
Let z(g) = -3*g**3 - 8*g**2 + 17*g + 45. Let l be z(-3). Find s such that 0 - 2*s**2 - 6*s - 1/6*s**l = 0.
-6, 0
Let z(u) be the second derivative of u**5/10 - u**4/3 - u**3/2 + 3*u**2/2 + 108*u. Let n(l) = -l**3 + 4*l**2 + 3*l - 2. Let a(p) = 3*n(p) + 2*z(p). Factor a(s).
s*(s + 1)*(s + 3)
Let a(p) be the third derivative of 2*p**7/735 + 919*p**6/210 + 306*p**5/35 - 5979*p**2. Factor a(f).
4*f**2*(f + 1)*(f + 918)/7
Let v(y) = 3*y**2 + 50*y + 95. Let z(p) = -p**2 - 8*p + 1. Let t(k) = -v(k) - 5*z(k). Factor t(o).
2*(o - 10)*(o + 5)
Let c(m) = m**2 - 10*m + 23. Let w be c(7). Factor 3*x**w + 19*x + 3*x - 21 - 2*x - 2*x.
3*(x - 1)*(x + 7)
Let g(u) = u**2 + 69*u + 143. Let n be g(-67). Let k(i) be the second derivative of n*i + 0*i**2 - 5/6*i**3 + 5/12*i**4 + 0. Factor k(f).
5*f*(f - 1)
Let c(q) be the first derivative of -q**5/15 + 37*q**4/4 - 71*q**3 + 315*q**2/2 - 7953. Find j, given that c(j) = 0.
0, 3, 105
Let z be 1980/506 - (-4)/46. Factor -563*h**2 - 3*h**z + 563*h**2 - 12*h + 9*h**3.
-3*h*(h - 2)**2*(h + 1)
Factor -37 + 42*k**2 + 4639*k - 248 - 37*k**2 - 4919*k.
5*(k - 57)*(k + 1)
Let v be -7 + 5 - -1 - -190. Let n = v + -184. Factor -2/9*c**3 + 0 + 0*c + 2/9*c**n - 2/9*c**2 + 2/9*c**4.
2*c**2*(c - 1)*(c + 1)**2/9
Let a be -3*(5 + (-182)/36)/((-14)/(-56)). Let u(i) be the first derivative of -1/6*i**2 + 26 + 1/12*i**4 - a*i + 2/9*i**3. Factor u(x).
(x - 1)*(x + 1)*(x + 2)/3
Let x be -3 + (-7 - -7) + 5. Factor -60*n - 3439 + 2*n**2 + 3439 - 7*n**x.
-5*n*(n + 12)
Let x(z) = 1447*z - 20256. Let u be x(14). Find v such that 2/7*v**3 - 6/7*v**u + 16/7 - 12/7*v = 0.
-2, 1, 4
Suppose -5*a - 4 = -3*b - 7, 4*b - 31 = -5*a. Factor 3*w**3 - 10*w + 3*w**4 - 27*w**2 + 5*w**b - 17*w - 5*w**4.
3*w*(w - 3)*(w + 1)*(w + 3)
Factor -8*d**2 + 10*d + d**2 + 11*d**2 + 9*d + 112 + 25*d.
4*(d + 4)*(d + 7)
Factor -475*d**2 + 4*d**3 - 1485 + 5*d**3 - 4*d**3 - 3885*d + 1920*d.
5*(d - 99)*(d + 1)*(d + 3)
Let a(x) be the first derivative of -x**4/4 + 37*x**3/3 - 35*x**2 - 298. Suppose a(h) = 0. What is h?
0, 2, 35
Let z(b) = 23*b**2 - 31*b + 31. Let q(s) = 2*s**2 - 3*s + 6. Let u(p) = -44*q(p) + 4*z(p). Factor u(k).
4*(k - 5)*(k + 7)
Let g(b) = 8*b**3 + 11*b**2 - b. Let k(n) be the first derivative of 7*n**4/4 + 11*n**3/3 + 1. Let h(r) = 2*g(r) - 3*k(r). Solve h(y) = 0.
-2, -1/5, 0
Let u(p) be the second derivative of 0 + 7*p + 2*p**3 + 0*p**2 - 1/3*p**4. Factor u(j).
-4*j*(j - 3)
Suppose 72 = 22*l - 4*l. Factor 9*j + l*j - 3*j + 12 - 2*j**2.
-2*(j - 6)*(j + 1)
Let n(d) be the third derivative of d**5/20 + 104*d**4 + 86528*d**3 + 4*d**2 + 28. Let n(b) = 0. Calculate b.
-416
Let q(i) be the first derivative of i**4/14 - 38*i**3/21 - 4*i**2/7 + 152*i/7 + 915. Suppose q(o) = 0. What is o?
-2, 2, 19
Let n be (3 + -4)/((-1)/3). Factor 7*x**3 - 15*x + 7*x**2 - 8*x**n + 2 - 3*x**2 + 10*x.
-(x - 2)*(x - 1)**2
Suppose 0 = -77*o + 4353 + 267. What is g in 22/3*g**5 + o*g**4 + 0*g + 64/3*g**2 + 128*g**3 + 0 = 0?
-4, -2/11, 0
Let q(x) be the third derivative of -x**8/336 - 3*x**7/5 - 4213*x**6/120 - 1281*x**5/5 - 3721*x**4/6 + 482*x**2. Factor q(n).
-n*(n + 2)**2*(n + 61)**2
Let x(d) = 2 + 2*d**2 - 190*d + 0*d**2 - 10*d**2 + 174*d. Let k(j) = 9*j**2 + 18*j - 3. Let y(i) = -5*k(i) - 6*x(i). Factor y(v).
3*(v + 1)**2
Let o(c) = c**2 + 17*c - 21. Let p be o(-18). Let b be -6 - (-4 + -8 - p). Factor 8/3*u**2 + 6*u**4 - u + 22/3*u**b + 5/3*u**5 - 2/3.
(u + 1)**4*(5*u - 2)/3
Let j be 1/((1 + 1)*(-45)/(-36)). Suppose -3 = -a, 4*k + 4*a + 4 = 8*a. Factor -18/5 + 2*x**k - 6/5*x - j*x**3.
-2*(x - 3)**2*(x + 1)/5
Factor -48 - 107*u - 141/2*u**2 - 12*u**3 - 1/2*u**4.
-(u + 1)**2*(u + 6)*(u + 16)/2
Suppose -9*f = -7*f - 16. Suppose 4*q = -4*a, -3*a + 7 = -2*q - f. Suppose 45*c**2 + 0*c**a - 15*c**3 + 10*c**3 + 105*c + 55 = 0. What is c?
-1, 11
Factor 16096/17*o + 40320/17*o**2 + 2144/17 + 250/17*o**4 + 33800/17*o**3.
2*(o + 134)*(5*o + 2)**3/17
Let f(s) be the second derivative of -s**5/4 - 5*s**4/4 - 5*s**3/3 - 461*s. Factor f(n).
-5*n*(n + 1)*(n + 2)
Let w(y) be the second derivative of y**6/72 + y**5/8 - 5*y**4/6 + 7*y**3/6 - 4*y**2 - 44*y - 2. Let m(b) be the second derivative of w(b). Factor m(k).
5*(k - 1)*(k + 4)
Let q(i) = 4*i**3 - 5*i**2 + 4*i - 9. Let v(r) = 13*r**3 - 15*r**2 + 11*r - 29. Let o(u) = 10*q(u) - 3*v(u). Let j be o(3). Factor j*b + 1/3*b**2 + 0.
b**2/3
Solve 198/7*x**4 + 27/7*x - 354/7*x**2 + 156/7 - 12/7*x**3 - 15/7*x**5 = 0.
-1, -4/5, 1, 13
Let t(j) be the third derivative of j**5/420 + 3*j**4/8 - 108*j**3/7 + 3*j**2 + 2*j + 5. Factor t(v).
(v - 9)*(v + 72)/7
Suppose -5*h = v + 65, h = 9 - 10. Let i be 2 - -7 - (-516)/v. Suppose 0 + i*o + 2/5*o**3 + 4/5*o**2 = 0. What is o?
-1, 0
Factor -5*x + 49*x + 4 - 3*x**2 - 63 - 25 + 2*x**2.
-(x - 42)*(x - 2)
Let f(i) = -i - 8. Let n be f(-8). Let g = -45138 + 45141. Factor 0*d**2 + 0 + n*d - 3/4*d**g - 3/4*d**5 - 3/2*d**4.
-3*d**3*(d + 1)**2/4
Let i(h) = 13*h**2 + 13*h - 968. Let c(p) = 28*p**2 + 28*p - 1932. Let s(d) = -6*c(d) + 13*i(d). Factor s(m).
(m - 31)*(m + 32)
Suppose 568/5*l**2 + 2288/5 + 1/5*l**3 - 2284/5*l = 0. Calculate l.
-572, 2
Factor 6702*f**3 + 1212*f + 47*f**4 - 341*f**2 + 1586*f**2 - 5649*f**3 + 264 + 34*f**4 + 645*f**2.
3*(f + 11)*(3*f + 2)**3
Let i be 3*(-8)/(-6)*(-14 + 15). Let x be 4/(-8)*-5*2. Factor -18 - 3*z**3 + 11*z**i - x*z**4 + 18 - 3*z**5.
-3*z**3*(z - 1)**2
Suppose 36*l + 454*l - 35*l = 0. Factor l + 2/3*h + 1/6*h**3 + 5/6*h**2.
h*(h + 1)*(h + 4)/6
Let g(c) = -4*c**2 - c. Let i(y) = -24*y**2 - 170*y. Let n(s) = 5*g(s) - i(s). Factor n(r).
r*(4*r + 165)
Let g = 2125972/5 + -425186. Determine p, given that -34/3*p**3 + g*p**2 + 0 - 4/15*p - 20*p**4 = 0.
-1, 0, 1/30, 2/5
Let j be 30567/(-21) - 24/(-42). Let i = j - -1458. Solve 0 + 0*f + 3/4*f**4 - 9*f**i + 27*f**2 = 0.
0, 6
Let j = -338 - -327. Let i be 28/10 + j/(-165)*3. Find h, given that 2/15*h**i + 0 + 8/15*h + 8/15*h**2 = 0.
-2, 0
Let x = 389 - 393. Let m(z) = -5*z**2 + 9*z + 14. Let k(w) = -5*w**2 + 8*w + 13. Let t(p) = x*k(p) + 3*m(p). Factor t(o).
5*(o - 2)*(o + 1)
Let j(s) = -s**2 - 3*s + 50. Let u be j(5). Solve -u*k**3 - 32*k - 10*k**2 - 7 - 13*k**2 - 11*k**2 - 1 = 0 for k.
-2, -1, -2/5
Suppose -15*y = 9020 - 23870. Let h = y - 988. Let 1/2*c**4 + 3/2*c**2 + 2*c - h*c**3 - 2 = 0. Calculate c.
-1, 1, 2
Solve 4657463/4 - 251/2*d**3 + 1/4*d**4 - 2370565/2*d + 21042*d**2 = 0 for d.
1, 167
Suppose 0 + 0*s - 6*s**3 + 3/2*s**2 = 0. Calculate s.
0, 1/4
Let h = 4/64621 - -2584828/193863. Solve -h*r**4 - 16/3*r**5 + 0 + 13/3*r**2 - 2/3*r - 3*r**3 = 0.
-2, -1, 0, 1/4
Let i(l) be the second derivative of -l**6/72 - 5*l**5/6 - 15*l**4/2 - l**3/3 - 2*l**2 - 214*l. Let w(s) be the second derivative of i(s). Factor w(y).
-5*(y + 2)*(y + 18)
Let k be 414/(-15)*(-65)/39. Factor -684*b**2 + 283*b**2 + k*b - 16*b**3 + 347*b**2 + 24.
-2*(b - 1)*(b + 4)*(8*b + 3)
Let d(h) = 5*h**3 + 22*h**2 - 135*h + 6. Let p(c) = -3*c**3 - 24*c**2 + 134*c - 4. Let q(z) = -2*d(z) - 3*p(z). F