*n**5. What is f in w(f) = 0?
0
Let b(l) be the first derivative of 2/5*l**5 + 0*l**2 + 0*l - 4/15*l**3 + 3/10*l**4 - 5. Suppose b(s) = 0. What is s?
-1, 0, 2/5
Let o(p) be the first derivative of -p**5/40 - 3*p**4/32 - p**3/12 - 9. Determine d, given that o(d) = 0.
-2, -1, 0
Let m be (-32)/(-36) - (-3)/(-54)*4. Factor m*b - 4/3*b**2 + 2/3*b**3 + 0.
2*b*(b - 1)**2/3
Let o = -7/53 + 395/583. Factor -o*l**3 + 4/11*l**2 + 2/11*l**4 + 0*l + 0.
2*l**2*(l - 2)*(l - 1)/11
Let b(o) be the first derivative of o**5/30 - o**3/6 + o**2/6 - 13. Factor b(c).
c*(c - 1)**2*(c + 2)/6
Let l be 0/(3 + -4) + 2. Suppose -7 = -l*m - 3. Let 4/7 + 2/7*n**m + 6/7*n = 0. Calculate n.
-2, -1
Let a(c) be the second derivative of -c**4/8 - 7*c**3/2 - 147*c**2/4 - 8*c. Factor a(z).
-3*(z + 7)**2/2
Let p be (-1 + 0)/(215/50). Let s = 394/215 + p. Solve -s*n**3 + 8/5*n**2 + 14/5*n + 4/5 = 0 for n.
-1/2, 2
Let v(r) = 4*r**4 - 56*r**3 + 28*r**2 + 8*r + 8. Let q(w) = -w**4 + 19*w**3 - 9*w**2 - 3*w - 3. Let x(u) = 8*q(u) + 3*v(u). Let x(l) = 0. Calculate l.
0, 1, 3
Let f = 66/19 - 952/285. Let y(v) be the third derivative of 1/175*v**7 + f*v**3 + 0 - 3/20*v**4 + 2*v**2 + 0*v - 11/300*v**6 + 1/10*v**5. Factor y(p).
2*(p - 1)**3*(3*p - 2)/5
Determine f so that 5*f**5 + 14*f**4 - 16 + f**5 - 20*f**3 - 20*f**2 + 22 + 14*f = 0.
-3, -1, -1/3, 1
Let x(d) = d**5 - 5*d**4 - 8*d**3 - 3*d**2 - 3*d + 3. Let o(g) = -6*g**4 - 8*g**3 - 2*g**2 - 2*g + 2. Let l(s) = -6*o(s) + 4*x(s). Factor l(f).
4*f**3*(f + 2)**2
Let b(t) = -t**2 + 2. Let o(d) = 5*d**2 + d - 9. Let l be (-5)/2*18/(-5). Let v(x) = l*b(x) + 2*o(x). Factor v(a).
a*(a + 2)
Find y such that 5*y**4 + 20 - 25*y**2 + 2*y**5 + 5*y**5 - 20*y - 12*y**5 + 25*y**3 = 0.
-2, -1, 1, 2
Let q(l) = -l**5 - l**4 + l**2 + l. Let w(h) = -h**5 + 3*h**4 - 8*h**3 - 27*h**2 - 23*h - 8. Let i(b) = 5*q(b) - w(b). Factor i(o).
-4*(o - 2)*(o + 1)**4
Let q(w) = 6*w**3 - 14*w**2 + 8*w - 8. Let g(i) = 2*i**3 - 3*i + 3 + 0*i**3 - 4*i**3 + 5*i**2. Let a(b) = -8*g(b) - 3*q(b). Determine r so that a(r) = 0.
0, 1
Let a = -76 + 80. Let k(u) be the second derivative of -1/10*u**5 + u - a*u**2 + 0*u**3 + 1/2*u**4 + 0. Factor k(m).
-2*(m - 2)**2*(m + 1)
Let a be ((-16)/24)/(4/(-18)). Let u(j) be the third derivative of 0*j + 1/24*j**4 + a*j**2 + 0 + 0*j**3 + 1/24*j**5 + 1/80*j**6. Solve u(l) = 0.
-1, -2/3, 0
Let b(n) be the second derivative of -n**4/6 + 5*n**3/3 - 6*n**2 - 37*n. Factor b(g).
-2*(g - 3)*(g - 2)
Let s = 161 - 643/4. Solve c**4 - c - 3/4*c**2 - s + c**3 = 0.
-1, -1/2, 1
Let s(j) = j + 26. Let t be s(-21). Let h(o) be the third derivative of -o**2 + 0*o + 0*o**3 - 1/60*o**6 + 1/15*o**t - 1/12*o**4 + 0. Factor h(p).
-2*p*(p - 1)**2
Factor 36/7*g + 162/7 + 2/7*g**2.
2*(g + 9)**2/7
Suppose b = 2*g + 155, 4*b = -3*g + 129 - 389. Let v be ((-2)/(-8))/((-30)/g). Solve 0*s + v*s**2 - 2/3 = 0.
-1, 1
Determine v so that 46*v + 8*v**2 - 48*v - 10*v**2 + 24 = 0.
-4, 3
Let l(h) = -21*h**3 - 6*h**2 + 20*h - 27*h**2 + 3 - 6*h**2. Let z(m) = -21*m**3 - 38*m**2 + 20*m + 4. Let a(o) = -4*l(o) + 5*z(o). Let a(g) = 0. What is g?
-2, -2/7, 2/3
Suppose 0 = -6*x + 5*x + 5. Suppose -3*k**5 + 6*k**x + 4*k**4 - 5*k**5 + k**2 + 2*k - 5*k**2 = 0. Calculate k.
-1, 0, 1
Let r(u) = 8*u**3 - 2*u**2 - 3*u + 3. Let z(w) = 8*w**3 - 2*w**2 - 4*w + 4. Let h(j) = 4*r(j) - 3*z(j). Let h(f) = 0. What is f?
0, 1/4
Let i = -8 + 11. Let h(p) be the first derivative of -5/8*p**4 - 1/4*p - 1/4*p**5 - 2 - 5/8*p**2 - 5/6*p**i - 1/24*p**6. Factor h(k).
-(k + 1)**5/4
Let h(l) = l**2 - 10*l + 9. Let p be h(9). Let g(u) be the third derivative of 1/48*u**4 + 0*u + p*u**3 - 1/240*u**6 + 0*u**5 - 2*u**2 + 0. Factor g(r).
-r*(r - 1)*(r + 1)/2
Let n = -6 + 8. Determine s so that 6 - 50*s**5 - 40*s**4 + 8*s + 42*s**3 - 6 + 40*s**n = 0.
-1, -2/5, 0, 1
Let r(x) be the first derivative of 0*x + 1/2*x**4 + 1/3*x**3 + 4 + 0*x**2 + 1/5*x**5. Let r(p) = 0. What is p?
-1, 0
Let p(u) = u**3 - 9*u**2 + 6*u + 18. Let o be p(8). Let w(k) be the first derivative of 0*k + 1/4*k**4 + o + 0*k**2 - 1/3*k**3. Factor w(s).
s**2*(s - 1)
Let m = -2 + -1. Let y = 0 - m. Determine n, given that 15*n**2 + 1 + 21*n**4 - 1 + 6*n**5 + 27*n**y + 3*n = 0.
-1, -1/2, 0
Let n be (-2)/17 + 96/238. Find w, given that 0*w + 8/7*w**5 + 0 + n*w**3 + 0*w**2 + 8/7*w**4 = 0.
-1/2, 0
Let b(j) be the third derivative of j**9/1512 - j**8/840 - j**7/420 + j**6/180 + j**3/2 - 2*j**2. Let c(p) be the first derivative of b(p). Factor c(q).
2*q**2*(q - 1)**2*(q + 1)
Let q = 455 + -455. Factor q + 2/5*n**3 + 0*n + 0*n**2.
2*n**3/5
Let y(s) be the second derivative of 1/60*s**5 - s + 1/6*s**4 + s**2 + 0 + 2/3*s**3. Let l(d) be the first derivative of y(d). Factor l(m).
(m + 2)**2
Let l(x) = -2*x**2 - 6*x + 16. Let a(f) = -2*f**2 - 5*f + 17. Let w(z) = 4*a(z) - 5*l(z). Determine s so that w(s) = 0.
-6, 1
Suppose 0 = 4*o - 79 - 29. Let l be (8/6)/(9/o). Determine m, given that 6*m**3 - 8/3*m**4 + 2/3*m - l*m**2 + 0 = 0.
0, 1/4, 1
Suppose 0 = -3*r + 4 + 2. Let s be (r - 7)*2/(-2). Solve 0*z + 0 - 1/5*z**s + 0*z**3 + 0*z**2 + 1/5*z**4 = 0 for z.
0, 1
Let s(u) be the first derivative of -3*u**8/560 + u**7/140 + u**6/40 - u**5/20 + 2*u**3/3 + 2. Let x(l) be the third derivative of s(l). Factor x(g).
-3*g*(g - 1)*(g + 1)*(3*g - 2)
Suppose -59*a = -47*a - 24. Factor -1/2*z**a + 0*z + 1/2.
-(z - 1)*(z + 1)/2
Let v(h) be the first derivative of 5*h**4/4 + 45*h**3 + 1215*h**2/2 + 3645*h + 36. Factor v(l).
5*(l + 9)**3
Let x = 787 - 4613/6. Let t = 37/2 - x. Factor 0 - 1/6*c**3 + 1/2*c**2 - t*c.
-c*(c - 2)*(c - 1)/6
Let v(w) be the second derivative of w**5/20 + w**4/2 + 3*w**3/2 + 2*w. Factor v(b).
b*(b + 3)**2
Let a be (0 - 5)/(3/(-3)). Let c = a + -2. Factor 2*y + 3 - 2*y**2 - 4*y**5 + 10*y**4 - c - 6*y**3.
-2*y*(y - 1)**3*(2*y + 1)
Let t(m) = -m**5 - m**4 + m**3 + 1. Let w(l) = -1 + 0*l**2 + 3*l**5 + l**2 + 0 - 4*l**5 + l**3. Let b(y) = -t(y) - w(y). Factor b(d).
d**2*(d - 1)*(d + 1)*(2*d + 1)
Factor 0*o**4 + 1/4*o**3 + 0*o + 0 + 0*o**2 - 1/4*o**5.
-o**3*(o - 1)*(o + 1)/4
Let k(x) = -4*x**2 + 16*x - 20. Let n(u) = -1. Let m(q) = k(q) - 4*n(q). Factor m(w).
-4*(w - 2)**2
Let -13*p + p**4 + 6*p**3 + 4*p**2 - 5 + 19*p - 12*p = 0. What is p?
-5, -1, 1
Let r(u) be the third derivative of -u**5/120 + u**4/12 + 5*u**3/12 - 14*u**2. Find l such that r(l) = 0.
-1, 5
Suppose -3*q + 17 = 17. Let m(y) be the second derivative of 8/5*y**2 + 9/35*y**7 + q - 1/3*y**4 + 4/3*y**3 + 0*y**6 - 2*y - 9/10*y**5. Factor m(f).
2*(f - 1)**2*(3*f + 2)**3/5
Factor -5/3 + 1/3*q**4 + 2/3*q**3 + 14/3*q - 4*q**2.
(q - 1)**3*(q + 5)/3
Let p(y) = y**2 - y. Let t(g) = -g**3 + 6*g**2 - 3*g - 4. Let f(x) = -6*p(x) + 2*t(x). Determine c, given that f(c) = 0.
-1, 2
Let o(u) be the third derivative of u**8/10080 - u**7/1890 + u**6/1080 + u**4/12 - 3*u**2. Let y(w) be the second derivative of o(w). Factor y(s).
2*s*(s - 1)**2/3
Let 10/3*z**3 + 0 + 2*z**2 + 2/3*z**5 + 4/9*z + 22/9*z**4 = 0. What is z?
-1, -2/3, 0
Factor -44*p**2 + 6*p - 31*p + 16 + 100*p**4 + 120*p**3 - 29*p + 6*p.
4*(p + 1)**2*(5*p - 2)**2
Factor -14/5*a**3 - 12/5*a + 0 - 46/5*a**2.
-2*a*(a + 3)*(7*a + 2)/5
Suppose y + w + 5 = 0, -41 = -5*y + 5*w - 16. Solve 0 + y*f - 1/4*f**3 - 1/2*f**2 = 0.
-2, 0
Let q(i) be the first derivative of 4*i**5/25 + 3*i**4/10 - i**2/5 - 11. Factor q(l).
2*l*(l + 1)**2*(2*l - 1)/5
Suppose -4*k = 0, -3*s - k - 3446 - 2506 = 0. Let t = s - -9956/5. Factor 3/5*y - 18/5*y**2 - 6*y**4 + t*y**3 + 9/5*y**5 + 0.
3*y*(y - 1)**3*(3*y - 1)/5
Let x(k) be the third derivative of k**6/660 - k**4/44 + 2*k**3/33 + 23*k**2. What is m in x(m) = 0?
-2, 1
Let l(f) = f**3 - 3*f**2 + 2*f. Let d(h) = -h**4 + h**3 + h**2 - h. Let o(s) = 4*d(s) + 2*l(s). Solve o(x) = 0.
0, 1/2, 1
Suppose -4*n - 32 = -3*g, 2*n + 6 + 0 = -g. Let l be ((-12)/30)/(3/n). Suppose 1/3 + l*y + 1/3*y**2 = 0. What is y?
-1
Factor -28/9*o**3 + 0 - 2/3*o**2 + 4/9*o.
-2*o*(2*o + 1)*(7*o - 2)/9
Let n(g) be the first derivative of g**4/3 + 3*g**3/2 + g**2 + 6*g + 5. Let r(l) be the first derivative of n(l). Solve r(s) = 0.
-2, -1/4
Let q(b) = b**2. Let r(w) be the first derivative of -5*w**3/3 + w**2 + w + 4. Let j(v) = 6*q(v) + r(v). Determine d, given that j(d) = 0.
-1
Let q(l) = 2*l**2 - l + 2. Let n be q(-2). Suppose -4*z + 0*z = -n. Factor -4*u**2 + u**3 +