(s) = 0 for s.
1/5, 4
Let w(k) be the second derivative of 5/54*k**4 + 1/135*k**6 - 2/45*k**5 + 0*k**2 + 19*k - 2/27*k**3 + 0. Let w(j) = 0. Calculate j.
0, 1, 2
Let m(p) = 22*p**3 + 18*p**2 - 13*p. Let t(z) = -130*z**2 - 138*z**3 - 105*z**2 - 147*z**3 + 170*z. Let y(l) = 40*m(l) + 3*t(l). Solve y(k) = 0.
-1, 0, 2/5
Let d be (-4)/3*(-198)/12. Factor -12 - 19*p**2 + 6 + 14*p**3 - 19*p**3 - 2 - d*p.
-(p + 1)*(p + 2)*(5*p + 4)
Let n(y) = 54*y**2 + 3*y - 2. Let c be n(1). Let -d**2 - 32 - c*d + 39*d - 2*d**2 + d**2 = 0. Calculate d.
-4
Factor -75/2*l - 3/4*l**2 + 75/4 + 3/2*l**3.
3*(l - 5)*(l + 5)*(2*l - 1)/4
Let m(r) be the first derivative of -2*r**7/105 - 4*r**6/75 + 2*r**4/15 + 2*r**3/15 - 19*r - 26. Let j(i) be the first derivative of m(i). Factor j(s).
-4*s*(s - 1)*(s + 1)**3/5
Let d(j) = 9*j**3 - j**2. Let r be 5/2*4/10. Let z be d(r). Let 3*f**3 + 2*f - z*f**2 + f**3 + 0*f**3 - 6*f + 8 = 0. What is f?
-1, 1, 2
Let b(a) be the second derivative of -a**4/72 - 19*a**3/36 - 17*a**2/6 + 142*a - 2. Factor b(r).
-(r + 2)*(r + 17)/6
Let z(x) be the second derivative of x**4/48 - 35*x**3/24 + 17*x**2/4 + 17*x. Factor z(q).
(q - 34)*(q - 1)/4
Let z(h) = -h**3 - 4*h**2 + 5*h + 23. Let m be z(-4). Suppose 0 = 3*x - m*c - 21, 1 = -5*x + 2*c - 6*c. Factor 0*d - 4/5*d**2 + 0 - 1/5*d**x.
-d**2*(d + 4)/5
Suppose -6 = 5*f + 24. Let t be f/(-27) - 32/(-18). Factor -t*u**4 - 3*u**2 - 3*u**3 + 9*u**3 - u**4.
-3*u**2*(u - 1)**2
Let a(w) = -9*w**2 - 6*w + 3*w**2 + 5*w**2 + 5*w + 1. Let f(p) = -4*p**3 - 4*p**2 - 8. Let q(j) = 8*a(j) + f(j). Solve q(y) = 0.
-2, -1, 0
Let c = 25/52 - -1/52. Let 3/4*w + 1/4*w**2 + c = 0. What is w?
-2, -1
Let k(q) = 3*q**2 - 4*q. Let g(o) = 7*o**2 - 8*o. Suppose 2*p = 8*p - 30. Let b(u) = p*k(u) - 2*g(u). Factor b(s).
s*(s - 4)
Let u(z) = -z**2 + 3*z - 2. Let t(l) = -30*l**2 + 120*l + 130. Let b(a) = t(a) - 25*u(a). Suppose b(p) = 0. What is p?
-3, 12
Let d(o) = -o**3 - o**2 - o. Let m be (-1)/(3 + 10*1/(-4)). Let b(w) = 14*w**3 + 36*w**2 + 26*w + 6. Let t(r) = m*b(r) + 4*d(r). Determine n so that t(n) = 0.
-1, -3/8
Let g = 11 + -9. Factor -v**2 - 9*v**g + 12*v + 7*v**2 - 12 + 0.
-3*(v - 2)**2
Suppose -2*d + 4*i = -38, -450*i = -d - 449*i + 11. Factor -600/7*p + 2000/7 + 60/7*p**2 - 2/7*p**d.
-2*(p - 10)**3/7
Let m(r) be the second derivative of r**6/135 + 11*r**5/90 + 11*r**4/18 + r**3/3 - 6*r**2 + 210*r + 1. Factor m(d).
2*(d - 1)*(d + 3)**2*(d + 6)/9
Let v = -4/167 - -10657/5678. Let t = v - 6/17. What is d in -1/2*d**4 + 0 + t*d**3 + 1/2*d**2 - d - 1/2*d**5 = 0?
-2, -1, 0, 1
Let z(c) be the first derivative of -5*c**6/6 + 7*c**5 + 55*c**4/4 - 95*c**3/3 - 95*c**2 - 80*c - 146. What is i in z(i) = 0?
-1, 2, 8
Factor -3/4*o**2 - 57/4*o + 63/2.
-3*(o - 2)*(o + 21)/4
Factor 0 + 5/4*d**3 - 185/4*d**2 + 0*d.
5*d**2*(d - 37)/4
Factor 5386*l - 4842*l - 384 + 2*l**4 + 2*l**4 + 24*l**3 - 240*l**2.
4*(l - 2)**3*(l + 12)
Factor 29*k**3 - 99 + 771*k - 2*k**3 - 239363*k**2 + 238955*k**2 - 291.
3*(k - 13)*(k - 1)*(9*k - 10)
Let g(y) be the third derivative of -22*y**5/75 - 47*y**4/60 - y**3/5 - 71*y**2 + 2*y. Determine o so that g(o) = 0.
-1, -3/44
Let p(u) = -u**4 - u**3 + u**2 + u + 2. Let l(x) = -2*x**5 - 26*x**4 - 4*x**3 + 38*x**2 - 30*x + 4. Let a(i) = 2*l(i) - 52*p(i). Solve a(r) = 0 for r.
-2, -1, 2, 3
Let d be 752/282 - -3*(-2)/9. Suppose 0*l**d + 0 + 0*l + 1/5*l**3 = 0. Calculate l.
0
Factor -92/3*v**3 + 5*v**2 + 0 + 2/3*v.
-v*(4*v - 1)*(23*v + 2)/3
Let k = -7/276 + 353/3036. Factor 2/11*s**2 - 1/11*s - 1/11*s**5 - k*s**4 + 2/11*s**3 - 1/11.
-(s - 1)**2*(s + 1)**3/11
Let o(b) = -b**2 - 267*b - 1307. Let h be o(-5). Factor 3/5*t**2 - 18/5 - h*t.
3*(t - 6)*(t + 1)/5
Let 10/7*w**3 - 4/7*w - 30/7*w**5 - 38/7*w**4 + 0 + 2*w**2 = 0. Calculate w.
-1, 0, 1/3, 2/5
Let u(b) = -b**2 - 4*b + 7. Let i be u(-5). Solve x - x**i + 19*x - 21*x = 0 for x.
-1, 0
Let z be (16/64)/(1/16). Suppose 7*f - z*f = 12. Determine q so that 0*q + 1/6*q**2 + 0 + 0*q**3 - 1/6*q**f = 0.
-1, 0, 1
Let a be 1 - (0 - (-4 - (-295)/12)). Let v = a + -64/3. Factor 1/4*d**4 + 1/2 + 1/4*d**3 - 3/4*d**2 - v*d.
(d - 1)**2*(d + 1)*(d + 2)/4
Factor 8/5 + 2/15*h**2 - 14/15*h.
2*(h - 4)*(h - 3)/15
Let c be (-3 - 138/(-45))*6. Let w = -718/5 + 144. Factor 2/5*i**2 - 2/5 - w*i**3 + c*i.
-2*(i - 1)**2*(i + 1)/5
Let h be 38/5 + (-12)/20. Suppose -3*k = -h*k + 8. Factor l - l - k*l**2 + 3*l**2 - l.
l*(l - 1)
Determine b, given that -2 + b**4 - 3/2*b**3 - 7/2*b**2 + 6*b = 0.
-2, 1/2, 1, 2
Let 3/2*j**3 + 1/2*j**4 + 0 + 1/2*j + 3/2*j**2 = 0. Calculate j.
-1, 0
Let s = -69/7 + 2146/217. Let j = 91/62 + s. Find c such that 3/2*c**3 + 0 - 3/2*c**4 + 3/2*c**2 - j*c = 0.
-1, 0, 1
Let z = -30 + 34. What is u in -43*u**4 - 10*u**4 - 65*u**2 + 20*u**5 + 10*u - 32*u**z + 120*u**3 = 0?
0, 1/4, 1, 2
Suppose -8/17*a**2 + 2/17*a**4 + 0 + 2/17*a**5 - 8/17*a**3 + 0*a = 0. What is a?
-2, -1, 0, 2
Find n, given that 113 + 4*n**3 + 20*n**2 - 36*n**2 - 16*n - 44*n**2 + 127 = 0.
-2, 2, 15
Let c be (-50225)/574*2/(-42). Determine r so that -1/6*r**5 - 14/3*r - 19/3*r**2 - 4/3 - 4/3*r**4 - c*r**3 = 0.
-2, -1
Let g be ((-5)/10)/((-1)/8). Factor 11*y**2 - 27*y**2 - 20*y**2 + g*y.
-4*y*(9*y - 1)
Let u(p) be the first derivative of p**7/10 - p**6/8 - p**5/10 + 15*p**2/2 - 1. Let o(s) be the second derivative of u(s). Factor o(h).
3*h**2*(h - 1)*(7*h + 2)
Factor 0 - 92/13*s**3 - 1936/13*s - 2/13*s**4 - 88*s**2.
-2*s*(s + 2)*(s + 22)**2/13
Let w(d) be the third derivative of -d**6/1080 - 11*d**5/270 - 4*d**4/9 + 16*d**3/3 - 341*d**2. Factor w(b).
-(b - 2)*(b + 12)**2/9
Let y(d) be the third derivative of -d**6/160 + 11*d**5/80 - 41*d**2. Suppose y(x) = 0. Calculate x.
0, 11
Solve 2*c**3 - 3/4*c**2 + 7 - 8*c - 1/4*c**4 = 0 for c.
-2, 1, 2, 7
Suppose -4*b - j = -11, b - 330*j = -333*j. Find m such that -2/5*m**b - 6/5*m**2 + 0 + 0*m = 0.
-3, 0
Suppose -4*o - 11*h + 7*h = 16, 5*h = -30. What is k in o + 1/2*k**3 + 4*k + 5/2*k**2 = 0?
-2, -1
Let j(b) be the second derivative of -54*b**6/5 + 18*b**5/5 - b**4/3 - 284*b. Find f such that j(f) = 0.
0, 1/9
Suppose -15 + 9 = -s. Factor 2*o**3 + s - 6*o**2 - 2*o + 0*o + o - o.
2*(o - 3)*(o - 1)*(o + 1)
Suppose -6 = u + 7. Let h = -13 - u. Let -3/4*l**3 + h - 1/4*l + 3/4*l**2 + 1/4*l**4 = 0. Calculate l.
0, 1
Let h be (0*(-4)/16)/2. Let z(n) be the first derivative of -16*n**3 - 3/5*n**5 - 6 + 0*n + 6*n**4 + h*n**2. Factor z(t).
-3*t**2*(t - 4)**2
Let w(m) be the second derivative of -5*m**6/18 + 3*m**5/4 - 2*m**4/3 + 2*m**3/9 - 74*m - 1. Factor w(d).
-d*(d - 1)*(5*d - 2)**2/3
Let g(m) be the third derivative of -m**8/20160 + m**7/5040 + m**6/120 - 5*m**5/12 - 2*m**2 + 5. Let a(v) be the third derivative of g(v). Factor a(k).
-(k - 3)*(k + 2)
Let m be 8/(-6)*(3 + -9). Suppose -28 = -5*f - m. Determine k so that 39*k**4 + 78*k**2 + 187*k**3 - 7*k - 5*k + 66*k**f - 8 = 0.
-1, -2/3, -2/5, 2/7
Let d be 2*4/(-8)*-9. Suppose 4*p = 7*p - d. Suppose -p*u**3 - 18 - 4 - 36*u - 18*u**2 - 2 = 0. Calculate u.
-2
Let h(n) = -n**3 - 16*n**2 - 27*n + 22. Let d be h(-14). Let s be (0*4/d)/(-2). Factor -1/5*a**2 + s + 1/5*a.
-a*(a - 1)/5
Let a(s) = s**3 - 2*s**2 - 2*s + 1. Let k be a(3). Determine v so that 27*v - 90*v**2 - 6*v**3 + 90*v**3 + 54*v**3 - 99*v**k - 3 + 27*v**5 = 0.
1/3, 1
Let l(j) = -j**3 + 8*j**2 - j + 13. Let c be l(8). What is q in 2*q**2 + 2*q - 986 + 3*q**3 - c*q**3 + 984 = 0?
-1, 1
Let l be (15 - 18)*4/(-6). Suppose -5*x**3 - 10*x**2 + 19*x + 4*x**l + 2*x**3 + 2*x - 12 = 0. What is x?
-4, 1
Let u be (-3)/4 - (-5445)/(-20). Let c = u - -1915/7. Let 6/7*n - 2/7*n**3 + c + 0*n**2 = 0. What is n?
-1, 2
Let v(h) = h**2 + 5*h - 66. Let q be v(-11). Let r(n) be the third derivative of -1/240*n**6 + 0 - 3/16*n**4 + 1/20*n**5 + 10*n**2 + 0*n + q*n**3. Factor r(b).
-b*(b - 3)**2/2
Let a be 436/112 + 88/(-32) + -1. Suppose -9/7*l**2 - a + 6/7*l = 0. Calculate l.
1/3
Suppose -3*z = -5*p + 2, 0 = -z - 2*z - 3*p + 30. Suppose -3*r = -0*r - z. Let r*j**3 + 3*j**2 + 4 + 7*j + j**2 + 4*j**2 + 3*j = 0. Calculate j.
-2, -1
Let k(g) = -10*g**4 + 40*g**3 + 714*g**2 + 3380*g + 4858. Let y(q) = -21*q**4 + 82*q**3 + 1427*q**2 + 6758*q + 9715. Let c(j) = -13*k(j) + 6*y(j). Factor c(l).
4*(l - 19)*(l + 4)**3
Let -34/3*v**4 + 0 + 64*v**3 + 2/3*v**5 - 120*v**2 + 0*v = 0. Calculate v.
0, 5, 6
Let u(n)