 be r(11). Find u such that -m*u**2 + 4*u**3 + 4*u**4 - u**2 + 2*u - 6*u = 0.
-1, 0, 1
Let x(q) be the third derivative of 0 - 1/105*q**7 + 1/150*q**5 - 1/100*q**6 + 0*q**3 + 0*q + 1/60*q**4 - 1/420*q**8 - 4*q**2. What is w in x(w) = 0?
-1, 0, 1/2
Factor -4*h**3 + 6*h + 0*h**3 + 6*h - 8*h.
-4*h*(h - 1)*(h + 1)
What is p in 1/3*p**4 - 1/3 - 2/3*p + 2/3*p**3 + 0*p**2 = 0?
-1, 1
Factor 2/3*c**2 - 4/3*c - 2.
2*(c - 3)*(c + 1)/3
Let a(z) be the third derivative of 0 + 1/120*z**6 + 0*z - 5*z**2 + 1/672*z**8 + 0*z**3 - 1/168*z**7 + 0*z**4 - 1/240*z**5. Suppose a(c) = 0. Calculate c.
0, 1/2, 1
Let x(w) = -18*w**4 + 39*w**3 + 54*w**2 - 201*w - 48. Let h(t) = t**4 + t**3 - t**2 - t - 1. Let g(u) = -6*h(u) - x(u). Suppose g(p) = 0. What is p?
-2, -1/4, 3
Let q be 1*3*(-2)/(-3). Suppose -18 = 2*h - 5*j - q, 4*h = -2*j + 16. Factor f - f**4 - 3*f**2 - f**3 + 2*f**4 + h*f**2.
f*(f - 1)**2*(f + 1)
Factor 4/3 - 26/3*p + 40/3*p**2 - 6*p**3.
-2*(p - 1)**2*(9*p - 2)/3
Let z(b) be the first derivative of -b**6/2 + 12*b**5/5 - 3*b**4/4 - 10*b**3 + 6*b**2 + 24*b + 1. Factor z(u).
-3*(u - 2)**3*(u + 1)**2
Factor 4*n**3 + 5*n**2 - 9 + 4*n**3 - 33*n**2 + 1 + 28*n.
4*(n - 2)*(n - 1)*(2*n - 1)
Let f(u) = -4*u**3 + 4*u**2. Let t(a) = -5*a**3 + 5*a**2 - a + 1. Suppose -16 = -4*v - 4. Let j(h) = v*f(h) - 2*t(h). Factor j(w).
-2*(w - 1)**2*(w + 1)
Let t = 2/259 - -249/1295. What is c in 3/5*c**3 + 3/5*c**2 + 0 + t*c + 1/5*c**4 = 0?
-1, 0
Factor 114/17*o - 36/17 + 10/17*o**3 - 64/17*o**2.
2*(o - 3)**2*(5*o - 2)/17
Let t(j) be the first derivative of 0*j**2 + 4 - 1/2*j + 1/6*j**3. Determine c, given that t(c) = 0.
-1, 1
What is f in 1/3*f**5 - 4*f + 11/3*f**2 - f**4 + 4/3 - 1/3*f**3 = 0?
-2, 1, 2
Factor -15*n**2 - 33*n**2 - 12*n**3 - 318*n + 254*n - n**4.
-n*(n + 4)**3
Let h(k) be the third derivative of k**7/490 - k**6/140 + 6*k**2. Factor h(j).
3*j**3*(j - 2)/7
Suppose -6*s = -3*s + 2*i - 371, 5*i = 5*s - 635. Let l be -5*(-10)/s - 0. Factor -l*k**5 - 4/5*k**2 + 0 + 2/5*k + 4/5*k**4 + 0*k**3.
-2*k*(k - 1)**3*(k + 1)/5
Let y(n) = -n**2 + 5*n - 2. Let l be y(4). What is z in 1/6 - 1/6*z + 1/6*z**3 - 1/6*z**l = 0?
-1, 1
Determine n, given that 0 - 3/5*n - 1/5*n**2 = 0.
-3, 0
Let i(u) be the first derivative of 3*u**4/22 - 2*u**3/33 + 20. Factor i(d).
2*d**2*(3*d - 1)/11
Let n(g) be the first derivative of 3*g**4/4 - g**3 - 3*g**2 - 23. Determine d, given that n(d) = 0.
-1, 0, 2
Let h = -645 - -2583/4. Suppose 3/4*q**2 + 0*q - h*q**3 + 0 = 0. What is q?
0, 1
Let z(f) be the third derivative of 1/20*f**6 - 1/140*f**7 - 1/10*f**5 + 0*f**3 + 0*f + 0*f**4 + 4*f**2 + 0. Let z(n) = 0. Calculate n.
0, 2
Let b(w) be the third derivative of w**7/525 + w**6/150 + w**5/150 + 2*w**2. Factor b(s).
2*s**2*(s + 1)**2/5
Let n(q) be the third derivative of -q**9/1008 + q**8/280 - q**6/60 + q**5/40 + q**3/2 + 5*q**2. Let r(s) be the first derivative of n(s). Solve r(m) = 0.
-1, 0, 1
Let i(m) be the first derivative of -2*m**3/27 - 4*m**2/9 + 5. Factor i(v).
-2*v*(v + 4)/9
Let b = -5 - 0. Let m be (-5)/(b/3) - 0. Factor -6*g**m - 2 + 4*g**3 - 4*g**2 - 5*g + g**3.
-(g + 1)**2*(g + 2)
Let o(v) be the first derivative of -7*v**7/60 - 7*v**6/60 + 2*v**5/5 - v**4/3 - 2*v**3/3 + 3. Let j(z) be the third derivative of o(z). Factor j(q).
-2*(q + 1)*(7*q - 2)**2
Let t(y) be the third derivative of y**6/600 - y**4/40 + y**3/15 + 3*y**2. Factor t(g).
(g - 1)**2*(g + 2)/5
Let b(n) be the first derivative of 242*n**4 - 880*n**3/3 - 43*n**2 - 2*n + 20. Factor b(w).
2*(w - 1)*(22*w + 1)**2
Suppose -3*b + k + 8 = 2*b, -3*b + k + 4 = 0. Let y(a) be the second derivative of -5/6*a**4 - b*a**2 + 7/3*a**3 - 3*a + 0. Factor y(t).
-2*(t - 1)*(5*t - 2)
Let y be (927/189 - 5)/((-3)/21). Let 2/3*g**2 - 2/3*g**4 + 0 - y*g**5 + 0*g + 2/3*g**3 = 0. Calculate g.
-1, 0, 1
Let y(o) be the third derivative of -1/36*o**4 - 1/60*o**5 + 0*o + 1/210*o**7 + 1/180*o**6 + 0 + 0*o**3 + 2*o**2. Factor y(v).
v*(v - 1)*(v + 1)*(3*v + 2)/3
Let a = 0 - -2. Let v = 6 - a. Suppose 0 + 2/9*o**v + 2/9*o**2 - 4/9*o**3 + 0*o = 0. What is o?
0, 1
Solve 3*i**4 + 3*i**5 - 18*i**3 + 9*i**4 + 3*i + 0*i**4 + 36*i**3 + 12*i**2 = 0 for i.
-1, 0
What is b in 16*b**4 - 8*b - 10*b**5 + 20*b - 10*b + 4 + 8*b**3 - 20*b**2 = 0?
-1, -2/5, 1
Let o be 2*(-2 + (-7)/(-2)). Factor -2*l**2 + 6*l**o + 3*l**2 - 7*l**3.
-l**2*(l - 1)
Suppose -3*i = 3*i - 2*i. Let v(w) be the second derivative of 0*w**2 + 0 + 1/10*w**5 - 1/6*w**4 - w + i*w**3. Solve v(o) = 0.
0, 1
Let k(p) be the third derivative of -p**2 - 1/9*p**3 - 1/105*p**7 - 7/45*p**5 + 23/360*p**6 + 0*p + 13/72*p**4 + 0. Suppose k(n) = 0. What is n?
1/3, 1/2, 1, 2
Let 0*o**3 + 4/7*o - 2/7*o**4 + 0 + 6/7*o**2 = 0. What is o?
-1, 0, 2
Let g(k) be the second derivative of -2*k**7/21 - 2*k**6/5 - 2*k**5/5 + 2*k**4/3 + 2*k**3 + 2*k**2 - 2*k. Factor g(y).
-4*(y - 1)*(y + 1)**4
Let j be (18/60)/(0 + 6/10). Factor 1/2*s - 1/2*s**4 + 1/2*s**2 - j*s**3 + 0.
-s*(s - 1)*(s + 1)**2/2
Suppose h = p - 2*p + 9, -2*h - 6 = -4*p. What is n in -10*n**3 - 12*n**4 + 7*n**2 - 6*n**5 - 9*n**2 - 2*n**p = 0?
-1, -1/3, 0
Let j = 63002/63 + -1000. Let i(w) be the second derivative of 13/90*w**5 - 1/18*w**4 - 7/27*w**3 + 3*w + j*w**7 + 17/135*w**6 - 2/9*w**2 + 0. Solve i(v) = 0.
-1, -1/2, 2/3
Let a(o) = -o + 2. Let m be a(0). Let l be m - 1 - (-2 + 1). Find t, given that 0*t + 3*t**2 + 2*t - l*t**2 + 1 + 0 = 0.
-1
Let w = 112/141 - 6/47. Suppose 2/3*c**2 + 4/3*c + w = 0. Calculate c.
-1
Let n = 4 - 10. Let x be 4/6 + n/9. Factor 2/9*u**3 - 10/9*u**4 + 0 + x*u + 2/3*u**5 + 2/9*u**2.
2*u**2*(u - 1)**2*(3*u + 1)/9
Let a be 9/12 + (-66)/(-8). Factor c - 4 - 5*c**2 - 2*c**5 + a*c - 8*c**3 + c**2 + 8*c**4.
-2*(c - 2)*(c - 1)**3*(c + 1)
Let p(j) be the third derivative of j**9/90720 - j**8/60480 - j**7/7560 + j**6/2160 + j**5/15 + 4*j**2. Let g(w) be the third derivative of p(w). Factor g(i).
(i - 1)*(i + 1)*(2*i - 1)/3
Let t(c) be the second derivative of c**5/10 - 2*c**4/3 - c**3/3 + 4*c**2 - 28*c. Find d, given that t(d) = 0.
-1, 1, 4
Let d(y) be the first derivative of y**6/240 - y**2/2 + 3. Let r(m) be the second derivative of d(m). Factor r(x).
x**3/2
Let d = 5 - 0. Let k(y) be the third derivative of -y**2 - 1/3*y**3 + 0*y - 1/60*y**d + 1/8*y**4 + 0. Factor k(z).
-(z - 2)*(z - 1)
Let k = 12 - 13. Let g(m) be the first derivative of -m**4/4 + m**3/3 + m**2/2 - m + 2. Let u(l) = l**4 - 2*l**2 + 1. Let c(d) = k*g(d) - u(d). Factor c(y).
-y*(y - 1)**2*(y + 1)
Solve 0*c - c**4 - 2/3*c**2 + 0 + 7/3*c**3 = 0 for c.
0, 1/3, 2
Let p be 187/165 + (-1)/(-5). Determine d so that -p*d + 2/3 + 2/3*d**2 = 0.
1
Let c(i) be the first derivative of -i**6/6 - i**5/5 + 3*i**4/4 + 5*i**3/3 + i**2 - 2. Determine g, given that c(g) = 0.
-1, 0, 2
Let j(p) be the third derivative of -p**6/210 + p**5/70 - p**4/84 - 9*p**2. Factor j(x).
-2*x*(x - 1)*(2*x - 1)/7
Let y(j) = -17*j**2 - 7*j + 8. Let k(v) be the second derivative of v**4/12 - v**3/6 - v**2/2 + 11*v. Let l(h) = -2*k(h) - y(h). Factor l(q).
3*(q + 1)*(5*q - 2)
Suppose 4*a + a = 20. Let p(o) be the third derivative of 1/300*o**6 + 2*o**2 + 0*o**a + 0*o**3 + 0*o + 0 + 1/75*o**5. Solve p(b) = 0 for b.
-2, 0
Let g(u) = -u**2 + 1. Let l(y) = 7*y + 4. Let a(z) = g(z) - l(z). Let v be a(-6). Let 4/5*j**2 + 0*j**v + 0*j - 2/5 - 2/5*j**4 = 0. What is j?
-1, 1
Let z(p) be the second derivative of -p**8/23520 + p**6/2520 + p**4/4 - p. Let a(v) be the third derivative of z(v). Let a(n) = 0. What is n?
-1, 0, 1
Let u be (-14)/(-112) + (-38)/(-80). Suppose 3/5*i**4 - 3/5*i**3 + 0 - u*i**2 + 3/5*i = 0. Calculate i.
-1, 0, 1
Let x(q) be the third derivative of q**6/240 + q**5/40 + q**4/16 + q**3/12 + 33*q**2. Solve x(z) = 0 for z.
-1
Suppose -6*p = p + 7. Let f be (p - -2) + -4 - -6. Factor -2/7*n**2 + 2/7*n + 0 - 4/7*n**f.
-2*n*(n + 1)*(2*n - 1)/7
Let c(q) = -q**3 - 6*q**2 - 7*q - 7. Let a be c(-5). Factor 3*p**2 - 2*p - a*p - 3 + 5*p.
3*(p - 1)*(p + 1)
Suppose 39 = 4*n - 3*m, 3*n + n - 19 = -m. Let r = -4 + n. Find l such that l + 2*l**4 + 2*l**r - l**3 - 3*l**2 - l**4 = 0.
-1, 0, 1
Let x(z) be the second derivative of z**7/3360 + z**6/720 + z**5/480 + 5*z**4/12 - 4*z. Let d(w) be the third derivative of x(w). Factor d(m).
(m + 1)*(3*m + 1)/4
Solve 2/11*m**4 + 0 - 6/11*m**2 + 0*m + 4/11*m**3 = 0 for m.
-3, 0, 1
Suppo