-4, 0, 1/4, 1
Let p(l) = -l**3 - 4*l**2 - 10*l - 7. Let o(u) = u**3 + 6*u**2 + 16*u + 11. Let x(a) = -5*o(a) - 7*p(a). Find b, given that x(b) = 0.
-1, 3
Let o(v) = -2*v**2 - 21*v - 45. Let i be o(-7). Determine h, given that -30*h**3 + 39/2*h**2 + 27/2*h**i - 3*h + 0 = 0.
0, 2/9, 1
Let t = 3842/4865 + 10/973. Find a such that -2/3*a**2 + 0 + t*a + 2/15*a**3 = 0.
0, 2, 3
Suppose 8 = -l + 2. Let n = l + 7. Let 0*b - 4*b + 6 - 4 + n + b**2 = 0. Calculate b.
1, 3
Let u = -18047/12 - -1504. Let a(i) be the third derivative of 0 + 0*i**3 + 0*i - 9*i**2 + u*i**6 + 7/30*i**5 + 1/6*i**4. Factor a(k).
2*k*(k + 1)*(5*k + 2)
Let g = -1614 + 1614. Find t such that 1/4*t**3 + 0*t**2 + 0*t**4 + 0 - 1/4*t**5 + g*t = 0.
-1, 0, 1
Let v(g) = -43*g - 2104. Let k be v(-49). Solve 0 - 2/9*q**5 + 0*q**k - 2/9*q**4 + 0*q + 0*q**2 = 0.
-1, 0
Let z be 3/15 + (-61)/5. Let q = -10 - z. Let 4 - 8*n - 8*n**3 + 0 + 12*n**2 - 2 + q*n**4 = 0. What is n?
1
Let p = 112086/7 - 16012. Find d such that 0*d**2 + p*d**4 - 4/7*d + 4/7*d**3 - 2/7 = 0.
-1, 1
Factor 170*m**3 + 5*m**4 - 1528*m + 1620 - 1938*m + 406*m + 1265*m**2.
5*(m - 1)**2*(m + 18)**2
Let s(n) = -2*n**4 - 4*n**3 - 12*n**2 - 12*n + 2. Let l(d) = -2*d**4 - 5*d**3 - 12*d**2 - 11*d + 1. Let z(x) = 4*l(x) - 3*s(x). Factor z(w).
-2*(w + 1)**4
Let h(m) be the first derivative of 3*m**5/5 + 15*m**4/4 + 9*m**3 + 21*m**2/2 + 6*m - 141. Factor h(l).
3*(l + 1)**3*(l + 2)
Let z(s) be the first derivative of s**3/3 + s**2/2 - s - 11. Let p(u) = 2*u**2 + 23*u - 20. Let g(j) = -p(j) + 5*z(j). Factor g(o).
3*(o - 5)*(o - 1)
Let k(d) be the first derivative of -16 - 2*d - 101/6*d**3 - 31/4*d**4 + 49/6*d**6 - 9*d**2 + 21/2*d**5. Let k(j) = 0. Calculate j.
-1, -1/2, -2/7, 1
Let j(g) be the second derivative of -g**5/50 + 2*g**4/5 - 4*g**3/3 + 88*g. Factor j(v).
-2*v*(v - 10)*(v - 2)/5
Let s(b) be the first derivative of 2*b**5/5 + 3*b**4 + 6*b**3 - 77. Solve s(z) = 0 for z.
-3, 0
Let w(g) be the first derivative of g**3 - 42*g**2 + 588*g - 171. Factor w(f).
3*(f - 14)**2
Let x(b) = 8*b**2 + 31*b + 5. Let i(v) be the third derivative of 13*v**5/20 + 51*v**4/8 + 4*v**3 - 40*v**2. Let k(o) = -5*i(o) + 24*x(o). Factor k(f).
-3*f*(f + 7)
Let r be (-16)/3 - (-7)/21. Let u be (1 - -4)*(-4 - r). Factor -22*c**4 - 3*c**2 + 12*c**4 - 4*c**2 + 4*c**5 + u*c**2 + 8*c**3.
2*c**2*(c - 1)**2*(2*c - 1)
Let c(g) = -5*g**3 - 193*g**2 - 1648*g - 324. Let r(m) = 5*m**3 + 190*m**2 + 1650*m + 324. Let z(d) = 3*c(d) + 4*r(d). Factor z(u).
(u + 18)**2*(5*u + 1)
Let d(s) be the third derivative of s**5/60 + 71*s**4/24 - 12*s**3 + 131*s**2 + 2*s. Factor d(k).
(k - 1)*(k + 72)
Let u(p) = -p**2 - 29*p - 34. Let z be u(-28). Let h be ((-45)/75)/(z/16). Solve h*d**2 - 2/5*d**3 + 0 - 8/5*d = 0.
0, 2
Let t(b) be the first derivative of -b**4/20 - b**3/15 + 22. Factor t(i).
-i**2*(i + 1)/5
Let q be (-9)/(-18) - ((-106)/(-20) + -5). Let i(c) be the first derivative of 9 - 3/10*c**2 - 1/5*c - 1/20*c**4 - q*c**3. Factor i(w).
-(w + 1)**3/5
Factor 144/7*p + 4/7*p**2 + 20.
4*(p + 1)*(p + 35)/7
Factor 7/3*t - 1/6*t**2 - 13/6.
-(t - 13)*(t - 1)/6
Let c = -171 + 113. Let p = c + 640/11. Factor -2/11*u**2 + 4/11*u - p.
-2*(u - 1)**2/11
Let w(p) be the second derivative of p**2 + 3*p - 1/18*p**3 + 1/36*p**4 + 0 - 1/180*p**5. Let h(m) be the first derivative of w(m). Factor h(i).
-(i - 1)**2/3
Let u = 1/62 - -121/186. Let j(k) be the second derivative of -u*k**2 + 1/15*k**5 + 1/9*k**4 + 0 + k - 2/9*k**3. Factor j(s).
4*(s - 1)*(s + 1)**2/3
Let l be 30/(-40) - 115/(-100). Let h = -28/5 - -6. What is q in 2/15*q**3 - h*q**2 + l*q - 2/15 = 0?
1
Let s be -1*(0 - 3/(-3)). Let p(q) = 3*q**4 + 5*q**3 - q**2 - 2*q. Let t(y) = -y**3 + 16*y**2 - 16*y**2. Let l(x) = s*t(x) - p(x). Factor l(u).
-u*(u + 1)**2*(3*u - 2)
Let r be 1 + -1 + -3 + (-11797)/(-3760). Let n(w) be the second derivative of 1/24*w**3 - 3/16*w**4 - 5*w - 1/30*w**6 + 0 + r*w**5 + 1/8*w**2. Factor n(t).
-(t - 1)**3*(4*t + 1)/4
Let u(t) be the second derivative of t**5/20 + 7*t**4/12 + 2*t**3 + 2*t**2 - 2*t + 12. Let j be u(-3). Factor 2/3 + 8/3*v + 2/3*v**4 + 8/3*v**3 + j*v**2.
2*(v + 1)**4/3
Suppose -128 = -4*m + 2*m - 3*p, 0 = -2*m + 4*p + 114. What is z in 60 - m + 3*z**2 + 0*z - 2*z = 0?
-1/3, 1
What is r in 8/17*r**2 - 2/17*r**4 + 2/17*r**3 - 8/17*r + 0 = 0?
-2, 0, 1, 2
Factor -11*c**2 - 2 - 32 - 14 - 2*c**3 - 42*c**2 + c**2 - 98*c.
-2*(c + 1)**2*(c + 24)
Let j(p) be the first derivative of 5/2*p**2 + 0*p - 1/2*p**5 + 17/6*p**3 - 11/4*p**4 - 24. Let j(i) = 0. What is i?
-5, -2/5, 0, 1
Let n(c) be the first derivative of c**3/5 - 9*c**2/10 - 202. Factor n(q).
3*q*(q - 3)/5
Factor -212*l**4 + 6*l**3 + 426*l**4 - 211*l**4.
3*l**3*(l + 2)
Let u(w) be the first derivative of w**6/45 - 16*w**5/75 + 116*w**3/45 + 79*w**2/15 + 4*w + 320. Determine a, given that u(a) = 0.
-1, 5, 6
Solve 8113 + 28*f**2 - 4*f**4 + 20*f - 20*f**3 - 16247 + 8110 = 0 for f.
-6, -1, 1
Let h(p) = -p**4 - p**2 + p - 1. Let q(g) = 4*g**4 + 2*g**2 - 3*g + 3. Let k(y) = -6*h(y) - 2*q(y). Suppose k(v) = 0. Calculate v.
-1, 0, 1
Let a(s) = -s**3 + 10*s**2 - 9*s - 60. Let z be a(4). Let l(j) = -j**2 + j + 2. Let y be l(0). Solve 3*f**4 + 0*f**y - 3/2*f**5 - 3/2*f**3 + 0 + z*f = 0.
0, 1
Factor 994*a + 48 - 4*a**3 - 1963*a + 1061*a + 40*a**2.
-4*(a - 12)*(a + 1)**2
Solve 45*f**3 + 115*f**3 - 54*f**2 + 216*f - 278*f**2 - 48*f + 4*f**4 = 0 for f.
-42, 0, 1
Let d be 3 + 92/(-30) - 1411/(-2490). Factor 1/2*n**4 - d*n**2 - 1/4*n + 1/4*n**5 + 0*n**3 + 0.
n*(n - 1)*(n + 1)**3/4
Let m(g) be the first derivative of -g**3 - 33*g**2 + 405*g - 134. Let m(r) = 0. What is r?
-27, 5
Let j = 1727/1380 - 1/690. Suppose j*v + 1/4*v**3 + 3/2*v**2 + 0 = 0. Calculate v.
-5, -1, 0
Let g = -41 + 43. Suppose -3*r = -u - 2, 4*u + g*r = -2*r + 24. Solve -1/6*w**u - 1/6*w**3 + 0 + 0*w**2 + 0*w = 0 for w.
-1, 0
Suppose 12 = 3*b - 3. Suppose b*m = 5*w + 5, 0 = -2*w - 2*m + 3*m + 1. Solve -2*s**5 - 2*s**4 + 2*s**2 + w*s**3 + 4*s**5 - 4*s**3 + 0*s**5 = 0 for s.
-1, 0, 1
Suppose -5*n + 5 = 5. Let q(f) be the third derivative of 1/200*f**6 + 0 + n*f**3 + 1/120*f**4 - 1/60*f**5 + 3/350*f**7 + 0*f + 2*f**2. Let q(y) = 0. What is y?
-1, 0, 1/3
What is y in -63*y - 2*y**2 + y**2 - 13 + 77*y = 0?
1, 13
Let d(k) = -k**2 + 11*k + 3. Let u be d(11). Let s be (-4)/u*(-30)/4. Determine o, given that 10*o**2 - 3*o**2 + s*o**3 + 7*o**2 - 8*o**4 - 3*o - o = 0.
-1, 0, 1/4, 2
Let d(r) = -r + 2. Let y be d(-1). Factor h**4 - 9*h**4 + 8*h + 4*h**2 + 4*h**4 - 8*h**y.
-4*h*(h - 1)*(h + 1)*(h + 2)
Factor -90*a**3 - 3 - 14 + 25*a**4 - 23*a**2 + 108*a**2 - 3.
5*(a - 2)*(a - 1)**2*(5*a + 2)
Suppose -2*n + t = -19, -t + 5 - 4 = 0. Suppose 0*u + 5*g + 5 = -5*u, 4*g + 14 = u. Suppose -n*v**2 - 2*v**u + 8*v**2 = 0. Calculate v.
0
Let t(y) be the third derivative of -y**5/570 + 9*y**4/76 - 145*y**2. Determine f, given that t(f) = 0.
0, 27
Let x(p) be the second derivative of p**7/42 + 3*p**6/5 - 61*p**5/20 + 7*p**4/2 + 31*p - 3. What is i in x(i) = 0?
-21, 0, 1, 2
Let l(i) = 8 + 4 - 8*i - 2*i - 6*i**2. Let b(n) = n**2 + n. Let d(k) = -2*b(k) - l(k). Factor d(u).
4*(u - 1)*(u + 3)
Let b = -7 - -10. Let r be b + (0 - -3)/3. Factor m**3 - m**4 + m**5 - 5*m**4 + 4*m**r.
m**3*(m - 1)**2
Let x(h) be the second derivative of 10/3*h**3 - 6*h**2 - 1/5*h**5 + 0 - 1/3*h**4 + 20*h. Factor x(t).
-4*(t - 1)**2*(t + 3)
Let j be -1 + 896/(-4) - -6. Let s = j - -671/3. Suppose 0*w + 4/3*w**2 - s*w**3 + 14/3*w**5 - 4/3*w**4 + 0 = 0. Calculate w.
-1, 0, 2/7, 1
Let f(p) be the third derivative of p**7/630 + p**6/45 - p**5/6 + p**4/4 - 8*p**2. Let z(x) be the second derivative of f(x). Determine u so that z(u) = 0.
-5, 1
Factor -3080/3*u - 3920/3 - 295*u**2 - 110/3*u**3 - 5/3*u**4.
-5*(u + 4)**2*(u + 7)**2/3
Suppose 28 = 13*f - 6*f. Let y(c) be the first derivative of 10*c**3 - 9/2*c**f - 7*c**2 - 5 + 2*c. What is z in y(z) = 0?
1/3, 1
Factor 0 - 2/9*p**5 - 4/3*p**4 + 0*p**3 + 64/9*p**2 + 0*p.
-2*p**2*(p - 2)*(p + 4)**2/9
Factor -42480/7*m - 717/7*m**2 - 3/7*m**3 + 43200/7.
-3*(m - 1)*(m + 120)**2/7
Let n(i) be the first derivative of 4*i**5/5 - 8*i**4 + 76*i**3/3 - 24*i**2 - 30. Factor n(h).
4*h*(h - 4)*(h - 3)*(h - 1)
Let d(f) = 12*f + 8. Let k = 141 + -146. Let p(r) = r**2 - 13*r - 9. Let l(i) = k*d(i) - 4*p(i). Determine b so that l