 u(j) be the first derivative of -j**4/14 - 8*j**3/21 + 11*j**2/7 - 12*j/7 - 71. Factor u(o).
-2*(o - 1)**2*(o + 6)/7
Let n be (3/36)/((-9)/(-48)). Let w(c) be the second derivative of n*c**3 - 4/3*c**2 - 1/18*c**4 - c + 0. Factor w(l).
-2*(l - 2)**2/3
Let k(m) = -m**3 + 8*m**2 + m - 6. Let p(u) = 8*u**2 - u - 1. Let x be p(-1). Let r be k(x). Determine y, given that -1/2*y + 0 + 1/4*y**3 + 1/4*y**r = 0.
-2, 0, 1
Let k(n) be the second derivative of -5/2*n**2 - 2*n + 0 + 5/3*n**3 - 1/2*n**5 + 0*n**4 + 1/6*n**6. What is c in k(c) = 0?
-1, 1
Solve -a**5 - 10 + 2 - 24*a**3 - 4*a + 11*a**3 - 2*a**4 + 10*a**2 + 18*a**3 = 0.
-2, -1, 1, 2
What is z in 20*z**2 - 18*z**3 + 7*z - 13 + 23*z**3 - 2*z - 17 = 0?
-3, -2, 1
Let u(v) be the third derivative of 0*v - 1/42*v**7 + 20/3*v**3 + 5/6*v**4 - 1/2*v**5 - 22*v**2 - 5/24*v**6 + 0. Let u(p) = 0. Calculate p.
-2, 1
Let o(y) = -y**3 - 10*y**2 - 3*y + 56. Let k be o(-9). Factor 1/2*z + 1/2*z**3 - z**k + 0.
z*(z - 1)**2/2
Let h(b) be the third derivative of -3*b**7/350 - 17*b**6/600 - 7*b**5/300 + b**4/120 + 10*b**2 + 4. Factor h(x).
-x*(x + 1)**2*(9*x - 1)/5
Let t be (0 + 0)/((-119)/(-204)*-12). Factor -21/5*i - 3/5*i**2 + t.
-3*i*(i + 7)/5
Suppose 0 = 3*y + 3*m - 30, -3*y + 5*m - 89 + 79 = 0. Find a, given that -10*a**3 - 76/5*a**2 - 16/5 - 56/5*a - 16/5*a**4 - 2/5*a**y = 0.
-2, -1
Suppose 0*j + 36 = 6*j - 3*u, -j - u = -12. Determine q, given that 1/2*q**2 + q - 15/2*q**4 + 0 - j*q**3 = 0.
-1, -2/5, 0, 1/3
Suppose -78*v = -54*v. Let y(s) be the first derivative of v*s**5 + 0*s - 2/9*s**3 + 1/18*s**6 + 9 + 0*s**2 - 1/4*s**4. Let y(q) = 0. What is q?
-1, 0, 2
Let z(u) be the first derivative of -48*u**5/5 - 71*u**4 - 76*u**3 - 20*u**2 + 127. Suppose z(y) = 0. Calculate y.
-5, -2/3, -1/4, 0
Solve 2/3*n + 0 - 2/3*n**2 = 0.
0, 1
Let s = 263 + -263. Let i(o) be the second derivative of 2*o - 1/4*o**3 + 3/2*o**2 + s - 1/8*o**4. Factor i(r).
-3*(r - 1)*(r + 2)/2
Let j = -33 - -33. Find r, given that -3*r + j*r + 5*r + 2*r**2 + 9 - 21 = 0.
-3, 2
What is m in -8836 - 18*m**2 + 71*m**2 - 21*m**2 + 376*m - 19*m**2 - 17*m**2 = 0?
47
Let j(a) = -3*a - 31. Let q be j(-11). Factor 6*k**2 + k**2 - 15*k - 2*k**q.
5*k*(k - 3)
Suppose 0 = 9*l - 26 + 8. Factor 41*z**3 - l*z**4 + 35*z**3 - 86*z**3 - 12*z**2 + 16 + 8*z.
-2*(z - 1)*(z + 2)**3
Let h(g) be the first derivative of -g**4/18 + 20*g**3/3 - 704*g**2/3 + 7744*g/9 - 932. What is y in h(y) = 0?
2, 44
Factor 0 - 72*b - 48*b**2 - 3/4*b**4 - 21/2*b**3.
-3*b*(b + 4)**2*(b + 6)/4
Let j be 41/(1066/(-1456))*(-4)/98. What is b in -4/7*b**3 - 24/7*b**2 - j - 36/7*b = 0?
-4, -1
Let d be 5/30 - 126/(-12)*(-12)/(-54). Suppose b + 6 = 3*b. Factor d*n**2 - 4*n - 1/2*n**b + 2.
-(n - 2)**2*(n - 1)/2
Let m be (-6 - -24 - -1)*-2. Let q = 115/3 + m. Suppose q + 1/6*w**2 + 1/2*w = 0. Calculate w.
-2, -1
Factor -21*g**4 - 39*g**2 - 51*g**3 + 0 - 11 + 8 + 3 - 9*g.
-3*g*(g + 1)**2*(7*g + 3)
Let i(t) be the second derivative of 1/900*t**6 - 1/60*t**4 + 2*t + 0*t**5 + 2/3*t**3 + 0*t**2 + 0. Let z(k) be the second derivative of i(k). Factor z(a).
2*(a - 1)*(a + 1)/5
Let f(x) = 2*x**2 - 14*x - 10. Let d(a) = -a**3 - a**2 + 14*a + 9. Suppose -s - s = -10. Suppose 0 = -s*h + 16 + 9. Let m(p) = h*f(p) + 6*d(p). Factor m(z).
-2*(z - 2)*(z + 1)*(3*z + 1)
Factor d**2 - d - 2*d**2 - 3*d - d**4 + 9*d + d - 4*d**3.
-d*(d - 1)*(d + 2)*(d + 3)
Let d(f) be the first derivative of -f**6/180 - f**5/20 + f**4/3 + 28*f**3/3 + 28. Let s(k) be the third derivative of d(k). Let s(a) = 0. Calculate a.
-4, 1
Let y(x) be the second derivative of -74*x**6/105 + 76*x**5/35 - 4*x**4/21 + 6*x - 22. Find u such that y(u) = 0.
0, 2/37, 2
Let f(k) be the first derivative of k**5/270 + k**4/36 + 2*k**3/27 + k**2/2 + 7. Let y(u) be the second derivative of f(u). What is p in y(p) = 0?
-2, -1
Factor -1/3*l**2 - 52900/3 - 460/3*l.
-(l + 230)**2/3
Let s = -82/15 + 11/2. Let r = 3/10 + s. Find c such that 1/3*c**3 + 4/3*c**2 - 4/3*c**4 + 0 - r*c = 0.
-1, 0, 1/4, 1
Let u(b) be the second derivative of 0*b**3 + 2/21*b**4 + 11*b + 2/105*b**6 - 3/35*b**5 + 0 + 0*b**2. Let u(c) = 0. What is c?
0, 1, 2
Let t(w) be the first derivative of -w**8/8400 - w**7/1400 - w**6/900 + 14*w**3 + 30. Let g(a) be the third derivative of t(a). Suppose g(o) = 0. What is o?
-2, -1, 0
Let a(u) be the first derivative of -4*u**5 + 5*u**4/4 + 120. Factor a(b).
-5*b**3*(4*b - 1)
Determine q so that -15*q**3 + 3/5*q**5 - 27/5*q**4 + 87/5*q**2 - 132/5 + 144/5*q = 0.
-2, 1, 11
Let x(n) be the third derivative of n**9/12096 - n**8/1008 + n**7/252 - n**5/20 + 17*n**2. Let i(d) be the third derivative of x(d). What is k in i(k) = 0?
0, 2
Let q(c) be the third derivative of c**10/30240 + c**9/3780 + c**8/2240 + 5*c**4/6 + 21*c**2. Let r(p) be the second derivative of q(p). Factor r(l).
l**3*(l + 1)*(l + 3)
Let v(b) be the second derivative of -b**7/14 - 9*b**6/10 - 9*b**5/2 - 23*b**4/2 - 33*b**3/2 - 27*b**2/2 - 37*b. Suppose v(r) = 0. What is r?
-3, -1
Suppose -2*w - 2 = 4*s - w, -4*s + 10 = -5*w. Let y = -3133 + 3136. Solve -2/15*v - 2/5*v**y + 2/5*v**2 + s + 2/15*v**4 = 0 for v.
0, 1
Factor -106*k**4 + 14*k**3 + 7*k**2 - 107*k**4 + 9*k**2 + 211*k**4.
-2*k**2*(k - 8)*(k + 1)
Let n(d) be the first derivative of -1/10*d**2 + 9 + 0*d + 1/15*d**3. Factor n(o).
o*(o - 1)/5
Factor 1/4*z**3 + 0 - 5/2*z**2 - 6*z.
z*(z - 12)*(z + 2)/4
Let t(l) = 4*l**4 - 1177*l**3 + 21634*l**2 + 22804*l - 11. Let u(q) = q**4 - 393*q**3 + 7211*q**2 + 7601*q - 4. Let b(y) = -4*t(y) + 11*u(y). Factor b(i).
-5*i*(i - 39)**2*(i + 1)
Let x(r) = r - 1. Let n be 8/3*12/(-8). Let l(u) = -2*u**5 + 6*u**3 + 4*u**2 + 4*u - 4. Let h(m) = n*x(m) + l(m). Factor h(g).
-2*g**2*(g - 2)*(g + 1)**2
Let q = 15 - 11. Let g be 2/q - (0 + 9/(-6)). What is b in 4*b - 3/2 - 5/2*b**g = 0?
3/5, 1
Factor -15*x - 50/3 - 1/3*x**3 - 4*x**2.
-(x + 2)*(x + 5)**2/3
Let s(f) = 9*f**3 - 8*f**2 - f. Let j(q) = 11*q**3 - 10*q**2 - q. Let m(d) = 4*j(d) - 5*s(d). Factor m(c).
-c*(c - 1)*(c + 1)
Determine r so that -24/7 + 60/7*r - 27/7*r**3 - 18/7*r**2 = 0.
-2, 2/3
Let d(f) = 7*f**2 - 6*f - 7. Let w(y) = 13*y**2 - 11*y - 13. Let n(v) = 11*d(v) - 6*w(v). Let x(r) = -2*r**2 - 6*r + 8. Let h(j) = -n(j) - x(j). Factor h(k).
3*(k - 1)*(k + 3)
Let g(p) be the third derivative of 0 + 0*p + 1/60*p**6 - 9*p**2 + 1/3*p**3 + 1/4*p**4 + 1/10*p**5. Let g(h) = 0. Calculate h.
-1
Let r(t) = -t**2 - 8*t - 10. Let u be r(-6). Suppose 0*v + u*v = 4*v. What is n in -3/4*n**2 - 3/4*n + v = 0?
-1, 0
Let i(o) be the third derivative of -5*o**2 - 1/45*o**5 + 0*o**3 + 0*o + 1/36*o**4 - 1/60*o**6 + 0. Let i(n) = 0. Calculate n.
-1, 0, 1/3
Factor -63/4 - 3/4*a**2 + 15/2*a.
-3*(a - 7)*(a - 3)/4
Find v, given that 54 + 45/2*v + 3/2*v**2 = 0.
-12, -3
Let o(n) = -n**2 - 14*n + 6. Let b(x) = 6*x**2 + 69*x - 33. Let h(r) = 6*b(r) + 33*o(r). Factor h(v).
3*v*(v - 16)
Let q(r) be the third derivative of 11*r**2 - 1/24*r**4 + 0*r + 0*r**3 - 1/240*r**6 + 1/40*r**5 + 0. Let q(l) = 0. Calculate l.
0, 1, 2
Suppose -4*i = -9*i + 25. Factor 4*q - 4*q - 27*q**3 - 6*q**2 - 21*q**5 + 6*q**i - 36*q**4.
-3*q**2*(q + 1)**2*(5*q + 2)
Suppose z - 5*g = -6, 3*z - 5*g + 2 = 4. Let c(r) be the second derivative of 0 + r - 1/27*r**3 - 1/54*r**z + 0*r**2. Factor c(x).
-2*x*(x + 1)/9
Let o = -47 + 95. Let z be o/(-40)*(-15)/12. Factor -3/4*i**2 + 0 - z*i**3 - 3/4*i**4 + 0*i.
-3*i**2*(i + 1)**2/4
Let g(m) be the third derivative of m**8/896 - 3*m**7/140 + 11*m**6/80 - 21*m**5/80 - 45*m**4/64 + 27*m**3/8 - m**2 + 42*m. Suppose g(b) = 0. Calculate b.
-1, 1, 3, 6
Let p(i) = 4*i - 5. Let l be p(2). Let r be 2 + 1 + -1 + l. Find w, given that 4*w - r*w - 3*w**2 - 5*w = 0.
-2, 0
Let i(h) be the second derivative of 0 + 1/48*h**4 - 1/12*h**3 + 0*h**2 + 21*h. What is f in i(f) = 0?
0, 2
Factor 5*d**2 - 25*d**2 + 40 + 12*d + 15*d**2 + 5*d + 18*d.
-5*(d - 8)*(d + 1)
Let c(l) = 3*l**2 + 60*l - 48. Let a(h) = -h. Let x(p) = 15*a(p) + c(p). Suppose x(k) = 0. What is k?
-16, 1
Let x(r) be the second derivative of 15*r + 0 + 2/27*r**3 + 0*r**2 + 1/54*r**4 - 1/90*r**5. Factor x(j).
-2*j*(j - 2)*(j + 1)/9
Let a(g) be the first derivative of -g**4 - 12*g**3 - 54*g**2 - 108*g - 18. Factor a(i).
-4*(i + 3)**3
Factor -18*c**2 - 27 + 65 - 60*c + 23*c**2 - 6 + 68.
5*(c - 10)*(c - 2)
Determine s so that 0 