. Suppose w(k) = 0. What is k?
3
Let d(c) = c**2 - c. Let a(l) = -9*l**2 + 18*l + 33. Let i(y) = a(y) - 3*d(y). Let w(f) = -3*f**2 + 5*f + 8. Let k(o) = -5*i(o) + 21*w(o). Factor k(u).
-3*(u - 1)*(u + 1)
What is y in 2*y**5 - 2*y**3 - 4*y**3 + 2*y**3 + 2*y = 0?
-1, 0, 1
Find a, given that -2/9*a + 1/9*a**4 + 0*a**2 + 2/9*a**3 - 1/9 = 0.
-1, 1
Factor 12/7 - 2/7*h - 2/7*h**2.
-2*(h - 2)*(h + 3)/7
Let q(p) be the first derivative of -p**6/165 + p**5/55 - p**4/66 + 2*p + 1. Let x(f) be the first derivative of q(f). Factor x(h).
-2*h**2*(h - 1)**2/11
Suppose -5*n - 5 + 25 = 0. Suppose -n*t + 9 = -t. Find a, given that a**2 - a - 3*a**5 + 3*a**2 + 6*a**t - 2*a**4 - 2*a - 2 = 0.
-1, -2/3, 1
Determine o so that -89*o**3 + 47*o**3 + 3*o - 38*o**2 + o = 0.
-1, 0, 2/21
Let f(g) be the second derivative of g**6/90 + g**5/60 - g**4/36 - g**3/18 - 16*g. Factor f(u).
u*(u - 1)*(u + 1)**2/3
Let a be -3 - (3 + -4 + -6). Let l(o) be the second derivative of -1/3*o**a + 0 + 0*o**2 - o - 1/20*o**5 - 2/3*o**3. Determine x so that l(x) = 0.
-2, 0
Let m(t) be the third derivative of t**7/336 - 23*t**6/960 + t**5/16 - t**4/48 - t**3/6 + 2*t**2. What is u in m(u) = 0?
-2/5, 1, 2
Factor -2/13*v**3 + 0 + 0*v**2 + 0*v + 0*v**4 + 2/13*v**5.
2*v**3*(v - 1)*(v + 1)/13
Let i(t) = t + 2. Let x(y) = -y**2 - 9*y + 10. Let c be x(-10). Let n be i(c). Factor s**4 - 3*s**4 - 6*s**3 - 6*s**2 - 5 - n*s + 5.
-2*s*(s + 1)**3
Let d be (-15)/(-2)*6/9. Suppose -2*j + d = 1. Factor 64/7*k + 8/7 + 22*k**j + 14*k**3.
2*(k + 1)*(7*k + 2)**2/7
Suppose -3*i = -4*z - 8, 2*z + 4 = -3*i - 0*z. Factor i*y + y**3 - 3*y + 3*y.
y**3
Determine k, given that -25 + 26*k**3 - 104*k - 52*k**2 - 7 - 6*k**3 = 0.
-1, -2/5, 4
Suppose -1 + 5 = 2*a. Let q(p) be the first derivative of p**2 + 2 - 1/2*p**4 + 2/3*p**3 - a*p. Factor q(r).
-2*(r - 1)**2*(r + 1)
Let o(f) = 2*f**3 + 5*f**2 - 7*f + 3. Let d(c) = c**3. Let g(i) = -3*d(i) + o(i). Find m, given that g(m) = 0.
1, 3
Let p(m) = m**2 - 1. Let j(s) = -33*s**2 - 120*s - 90. Let f(c) = j(c) - 15*p(c). Factor f(w).
-3*(4*w + 5)**2
Let j(t) be the first derivative of -3/14*t**4 - 4/35*t**5 + 0*t + 4/21*t**3 - 2 + 0*t**2 + 1/7*t**6. Determine w so that j(w) = 0.
-1, 0, 2/3, 1
Suppose -8 = -0*y - 2*y. Suppose -3*v + 2 + y = 0. Find m, given that -2/7*m**v - 2/7 - 4/7*m = 0.
-1
Let v be 2*(-7 + 6)*-1. Suppose 9/4*a**v + 3*a - 3/4*a**4 - 3/2*a**3 - 3 = 0. Calculate a.
-2, 1
Let v(k) be the first derivative of 0*k + 1/15*k**6 + 0*k**3 - 2/25*k**5 + 0*k**2 + 6 + 0*k**4. Let v(h) = 0. What is h?
0, 1
Suppose 0*n + 0 + 2/5*n**3 + 2/5*n**4 + 0*n**2 = 0. What is n?
-1, 0
Factor 1/3*u**2 - 1/3*u - 2/3.
(u - 2)*(u + 1)/3
Suppose -3*l + 19 = -18*j + 23*j, 0 = j + 3*l - 11. Determine w so that -4/5 + 2/5*w**j - 2/5*w = 0.
-1, 2
Let c(r) = r**3 - 22*r**2 + 41*r - 18. Let v be c(20). Let j(z) be the first derivative of z + 3 + 5/12*z**3 + 3/2*z**v. Factor j(h).
(h + 2)*(5*h + 2)/4
Let d = -2/11 + 15/22. Let i(o) = -o**3 + 4*o**2 - o + 4. Let x be i(4). Factor 0 - d*p**5 + 0*p**2 - 1/2*p + x*p**4 + p**3.
-p*(p - 1)**2*(p + 1)**2/2
Let w(f) be the third derivative of f**8/840 - 3*f**7/980 + f**6/630 - 5*f**3/6 - 5*f**2. Let p(v) be the first derivative of w(v). Factor p(c).
2*c**2*(c - 1)*(7*c - 2)/7
Let l(k) = -8*k**3 + 2*k**2 + 8*k - 2. Let b(u) = 95*u**3 - 25*u**2 - 95*u + 25. Let d(q) = -3*b(q) - 35*l(q). Factor d(i).
-5*(i - 1)**2*(i + 1)
Suppose -3*k - 12 = -2*d - d, 2*d = 3*k + 10. Let u be k/(3/(-6)*1). Factor 0*s**2 - s**u - s**2 - 2*s**3 + 0*s**2.
-s**2*(s + 1)**2
Let f(u) be the first derivative of 7*u**6/2 - 48*u**5/5 + 33*u**4/4 - 2*u**3 + 23. Determine s, given that f(s) = 0.
0, 2/7, 1
Determine x, given that -12*x**5 - 79*x**4 + 36*x**3 + 76*x**4 + 0 + 33*x**2 + 6*x + 0 = 0.
-1, -1/4, 0, 2
Let h(s) = s**2 - 11*s + 14. Let k be h(10). Suppose 3*u + m = u + 13, -5*u = -k*m - 26. Factor u*f - 1 + 3*f**2 + 3 - 3 + 4.
3*(f + 1)**2
Factor -3*d**2 + 0*d**4 + d**4 - 5*d + 4*d + 6*d**2 - 3*d**3.
d*(d - 1)**3
Let v = -45 + 91/2. Factor v*o**3 + 0 - 1/2*o + 0*o**2.
o*(o - 1)*(o + 1)/2
Let n(h) = -h**2 + h - 1. Let l(y) = -8*y**2 + 10*y - 9. Let d(q) = 4*l(q) - 28*n(q). Factor d(m).
-4*(m - 2)*(m - 1)
Let x(k) be the first derivative of -3/2*k**4 - k**2 - 2*k**3 + 0*k - 2/5*k**5 - 1. Let x(g) = 0. What is g?
-1, 0
Let f(q) = -3*q**2 - 6*q**2 + q**2 + 2*q**2. Let a(n) = -3*n**2. Let s(h) = 11*a(h) - 6*f(h). Factor s(d).
3*d**2
Factor -5*u**3 + 4*u - 4*u**2 - 6*u + 3*u**3.
-2*u*(u + 1)**2
Let p(o) be the first derivative of -14*o**6/15 - 2*o**5/5 + 7*o**4/3 + 4*o**3/3 + o + 1. Let y(z) be the first derivative of p(z). Factor y(v).
-4*v*(v - 1)*(v + 1)*(7*v + 2)
Factor 0 - 9/5*t**2 + 3/5*t**3 + 0*t.
3*t**2*(t - 3)/5
Let p be (-2)/(-10) - (-34)/30. Let x(n) = -8*n - 36. Let z be x(-5). Factor -46/3*k**z - p*k - 26/3*k**2 - 14/3*k**5 + 0 - 18*k**3.
-2*k*(k + 1)**3*(7*k + 2)/3
Factor 0*h**3 + 4/9*h**2 + 0 - 4/9*h**4 + 2/9*h**5 - 2/9*h.
2*h*(h - 1)**3*(h + 1)/9
Let t(n) be the third derivative of -n**8/1848 - n**7/385 - n**6/330 + n**5/165 + n**4/44 + n**3/33 + 4*n**2. Factor t(y).
-2*(y - 1)*(y + 1)**4/11
Let l(m) = 3*m**2 - 4*m - 2. Let b(q) = -3*q**2 + 3*q + 3. Let j(a) = -2*b(a) - 3*l(a). Find g such that j(g) = 0.
0, 2
Let p(n) be the first derivative of -1/3*n**2 + 0*n + 2/9*n**3 + 3. Factor p(k).
2*k*(k - 1)/3
Let z(m) be the second derivative of -m**9/10584 + m**8/5880 + m**7/2940 - m**6/1260 + m**3/2 - 2*m. Let d(n) be the second derivative of z(n). Factor d(g).
-2*g**2*(g - 1)**2*(g + 1)/7
Let c(y) be the third derivative of 1/60*y**5 + 0*y - 1/6*y**3 + y**2 + 0 + 0*y**4. Factor c(i).
(i - 1)*(i + 1)
Let p = 8 + -6. Find j such that -j**3 + 2*j**2 - 2*j - p - j**4 + 3*j + j**2 = 0.
-2, -1, 1
Suppose 0 = -3*d - 3*d - 18. Let m be (-7)/d*(-3)/(-21). Factor 1/3*l**3 - m - l**2 + l.
(l - 1)**3/3
Let c = -20 - -24. Let z = 10 + -7. Let -k + c*k**2 - 2*k**2 + z*k - 3*k**2 - 1 = 0. What is k?
1
Factor 1/3 - 1/6*r**2 + 1/6*r.
-(r - 2)*(r + 1)/6
Let y(g) be the first derivative of 1/2*g**2 + 6 + 0*g - 1/3*g**3. Factor y(v).
-v*(v - 1)
Let p(f) be the second derivative of f**6/240 + f**5/40 + f**4/24 + 2*f**2 + 2*f. Let g(k) be the first derivative of p(k). Determine b, given that g(b) = 0.
-2, -1, 0
Let q(b) be the third derivative of b**7/168 + b**6/96 - b**5/48 - 5*b**4/96 + 13*b**2. Factor q(p).
5*p*(p - 1)*(p + 1)**2/4
Let r be (-2420)/(-6)*1/2. Let t = -200 + r. Determine s, given that 2/3 + t*s**2 - 7/3*s = 0.
2/5, 1
Let w(k) be the first derivative of -k**9/1176 - k**8/1960 + 2*k**7/735 + k**6/315 + k**3/3 - 1. Let z(a) be the third derivative of w(a). Factor z(m).
-2*m**2*(m - 1)*(3*m + 2)**2/7
Let o(i) be the second derivative of -i**8/2240 + i**7/420 - i**6/240 + i**4/3 + 7*i. Let r(s) be the third derivative of o(s). Suppose r(l) = 0. What is l?
0, 1
Let c = -13 - -13. Let p(a) be the first derivative of 1/3*a**6 + c*a**3 + 0*a**2 + 2/5*a**5 - 3 + 0*a + 0*a**4. Factor p(x).
2*x**4*(x + 1)
Suppose 0 = -4*q - 3 + 11. Let v(i) be the first derivative of 1/20*i**5 + 0*i - 1/12*i**3 + q + 1/16*i**4 - 1/8*i**2. Factor v(r).
r*(r - 1)*(r + 1)**2/4
Let v be 4/(-6)*(-4 + (-28)/(-8)). Factor -v*b - 2/3*b**2 + 0 - 1/3*b**3.
-b*(b + 1)**2/3
Let g(j) be the second derivative of j**5/330 + j**4/66 + j**3/33 + j**2 + 3*j. Let s(u) be the first derivative of g(u). Factor s(t).
2*(t + 1)**2/11
Let c(g) be the first derivative of -1/20*g**4 + 1/10*g**2 + 0*g**3 - 4 + 0*g. Find n such that c(n) = 0.
-1, 0, 1
Factor 20*k**3 + 20*k**2 + 2 + 7*k**4 + 3*k**4 + 10*k - 3*k**5 + 5*k**5.
2*(k + 1)**5
Let r(j) be the first derivative of 3/2*j**2 + 1/30*j**5 + 0*j**4 - 1/3*j**3 + 2 + 0*j. Let h(n) be the second derivative of r(n). Factor h(s).
2*(s - 1)*(s + 1)
Factor 3 + 10 + 4*r**2 + 34*r - 1 - 18*r.
4*(r + 1)*(r + 3)
Let r(h) be the second derivative of h**5/12 + h**4/18 - 10*h. Factor r(i).
i**2*(5*i + 2)/3
Let n be 39/7 + (-16)/28. Factor 0*i**3 - 12*i - 7*i**2 - n*i**2 - 4 - 4*i**3.
-4*(i + 1)**3
Let s(y) be the third derivative of -y**6/270 + y**5/54 - y**4/54 + 3*y**2. Factor s(i).
-2*i*(i - 2)*(2*i - 1)/9
Let q(d) be the second derivative of -d**4/30 + d**3/15 + 2*d**2/5 + d. Let q(z) = 0. What is z?
-1, 2
Let k(n) be the first derivative of -2/13*n**5 - 5/13*n**4 - 5 - 1/39*n**6 - 5/13*n