2)**2/9
Find w, given that 4/7*w - 4/7*w**2 - 16/7*w**3 - 2*w**4 + 2/7 - 4/7*w**5 = 0.
-1, 1/2
Solve 0*t + 0 - 6/13*t**2 - 2/13*t**4 + 8/13*t**3 = 0.
0, 1, 3
Let g = -317/42 + 47/6. Factor -2/7*w - 2/7*w**2 + g + 2/7*w**3.
2*(w - 1)**2*(w + 1)/7
Let l(t) = t**3 - 2*t**2 + t - 2. Let r be l(2). Solve 1/3*w**5 + 0*w**3 + 0*w + r*w**4 + 0*w**2 + 0 = 0 for w.
0
Suppose -4*c = -c + 12, 2*c = -4*h. Factor -4*v**2 - 9*v + 7*v + v**h + v**4.
v*(v - 2)*(v + 1)**2
Let f(q) = -q**2 - 3*q + 12. Let x be f(-5). Let p(z) be the second derivative of 0 - 2/5*z**x - z - 7/30*z**4 + 3/5*z**3. Factor p(r).
-2*(r - 1)*(7*r - 2)/5
Let s = 2/9 - -1/36. Let y = 189 + -186. Solve s*j**y + 0*j + 0 + 1/4*j**2 = 0 for j.
-1, 0
Find s such that -4*s**4 + 2*s**5 + 9*s**3 - 3*s**3 - 4*s**5 = 0.
-3, 0, 1
Suppose 0 = 2*l - 2 + 6. Let q = l + 4. Let -2*a**4 + 3*a**4 - 2*a**2 + 0*a**q + 1 = 0. Calculate a.
-1, 1
Let u(k) = k**5 - k**4 - k**3 + k**2. Let s(p) = p**5 - 18*p**4 + 32*p**3 + 7*p**2 - 36*p + 8. Let w(a) = s(a) + 3*u(a). Factor w(c).
(c - 2)**3*(c + 1)*(4*c - 1)
Let o = 7 - 4. Let q(f) = -f**2 - 5*f - 4. Let c be q(-3). Factor 6*d**2 - d - o*d - 4*d**c.
2*d*(d - 2)
Let p be ((-60)/24)/(30/(-9)). Factor -1/4*x**3 + 0 + 0*x + p*x**2.
-x**2*(x - 3)/4
Let r(m) be the third derivative of -169*m**5/80 + 13*m**4/8 - m**3/2 - 9*m**2. Factor r(x).
-3*(13*x - 2)**2/4
Let x = -23/52 - -9/13. Let k(y) be the first derivative of 1/16*y**4 + 1/12*y**3 - 2 - 1/8*y**2 - x*y. Suppose k(u) = 0. Calculate u.
-1, 1
Let x(d) be the first derivative of -d**4/12 - d**3/9 + 16. Determine c so that x(c) = 0.
-1, 0
Let o(v) be the third derivative of 1/616*v**8 + 0*v + 4*v**2 + 7/660*v**6 + 0 + 8/1155*v**7 + 1/165*v**5 + 0*v**3 + 0*v**4. Factor o(a).
2*a**2*(a + 1)**2*(3*a + 2)/11
Let n(k) be the second derivative of 1/24*k**4 - 1/84*k**7 + 0 + k**2 - 7/40*k**5 + 2/3*k**3 - 1/12*k**6 - k. Find p, given that n(p) = 0.
-2, -1, 1
Solve -b**3 + 4*b**2 - 7*b**3 - 4*b**4 - 17 + 8*b + 17 = 0 for b.
-2, -1, 0, 1
Find d such that 1 + 6*d - 1 - 2*d + 4*d**2 = 0.
-1, 0
Let a(b) = -b**2 + 2*b + 6. Let d(u) = 3*u**2 - 6*u - 17. Let o(n) = -17*a(n) - 6*d(n). Suppose o(s) = 0. Calculate s.
0, 2
Let q(b) be the second derivative of b**8/23520 + b**7/1764 + b**6/315 + b**5/105 - b**4/12 - 5*b. Let k(j) be the third derivative of q(j). Factor k(p).
2*(p + 1)*(p + 2)**2/7
Let p(a) be the third derivative of a**7/840 + a**6/120 + a**5/80 - a**4/24 - a**3/6 + 4*a**2. Find l, given that p(l) = 0.
-2, -1, 1
Let l be (-12)/(-14)*91/26. Factor 1/3 - 2/3*w**l - w**4 + 2/3*w**2 + w - 1/3*w**5.
-(w - 1)*(w + 1)**4/3
Suppose 2*f - 4*f = -8. Suppose 0*y + 8 = f*y. Let 4/5 - 4/5*q**4 + 14/5*q + 16/5*q**y - 2/5*q**5 + 4/5*q**3 = 0. Calculate q.
-1, 2
Let x = 27 - 25. Determine l so that 4*l - 5*l**2 - 2*l**3 + 2*l**2 + 5*l**x = 0.
-1, 0, 2
Suppose 3*w - m - 7 = 3, -30 = -5*w + 5*m. Solve -2*b - 6*b**2 + 3*b**2 + 2 + b**w + 0*b**2 + 2*b**3 = 0 for b.
-1, 1
Suppose -4*s + 2 = 2*p, -s - s + p = -11. Suppose 4*t = -3*l + 5, -s*t + 0*l = -l - 7. Determine o, given that -1 + 3*o - 5/4*o**t - 3*o**3 + 9/4*o**4 = 0.
-1, 2/3, 1
Let l(f) be the third derivative of f**5/150 - f**4/12 + 4*f**3/15 + 2*f**2. What is n in l(n) = 0?
1, 4
Let b(o) be the first derivative of o**3/7 + 18. Let b(d) = 0. What is d?
0
Let r(x) be the third derivative of -x**8/2880 - x**7/1512 + x**6/1080 + x**4/24 - 3*x**2. Let s(c) be the second derivative of r(c). Factor s(n).
-n*(n + 1)*(7*n - 2)/3
Let u(m) be the third derivative of m**6/30 + 13*m**5/15 + 35*m**4/6 - 98*m**3/3 - 10*m**2 - 1. Determine x so that u(x) = 0.
-7, 1
Let u(d) be the second derivative of -1/12*d**4 + 2*d + 0*d**2 + 0 - 1/3*d**3. Find h, given that u(h) = 0.
-2, 0
Let g(d) be the second derivative of d**2 + 0 - 1/20*d**5 - 5/6*d**3 + 2*d + 1/3*d**4. Factor g(s).
-(s - 2)*(s - 1)**2
Suppose 0 = -p - 6. Let h be 4*1*(-3)/p. Let 3*j**h - 4*j - 2 - 3*j**2 - 2*j**2 = 0. What is j?
-1
Let y = -10 + 34. Let c(t) = -9*t**5 - 5*t**4 - 11*t**3 + t**2 + 8*t. Let d(a) = a**5 + a**4 + a**3 - a. Let w(r) = y*d(r) + 3*c(r). Solve w(s) = 0.
0, 1
Factor 2/9*a**2 + 0 + 2/9*a**4 + 4/9*a**3 + 0*a.
2*a**2*(a + 1)**2/9
Let w(u) = -9*u**2 + 24*u - 27. Let m(j) = -26*j**2 + 71*j - 81. Let b(v) = 6*m(v) - 17*w(v). Solve b(a) = 0.
3
Let k(b) be the third derivative of 17*b**5/60 + b**4/4 - 5*b**3/6 + b**2. Let q(d) = d**2 - d + 1. Let i = 18 - 21. Let z(r) = i*q(r) - k(r). Factor z(a).
-(4*a - 1)*(5*a + 2)
Let t(s) = -s**3 + 14*s**2 - 1. Let z be t(14). Let a be 22/33 - z/3. Factor a - 1/2*w + 1/2*w**3 + 3/2*w**4 - 5/2*w**2.
(w - 1)*(w + 1)**2*(3*w - 2)/2
Suppose -2*l + 8 = 3*h - 0*l, -2*h - 3*l = -2. Let f(g) be the second derivative of -g - 1/8*g**2 - 1/48*g**h + 0 + 1/12*g**3. Let f(m) = 0. What is m?
1
Let b = -6/25 + 49/100. Suppose -3/4*t**2 + 3/4*t + b*t**3 - 1/4 = 0. Calculate t.
1
Let l(n) = -9*n - 9*n - n**3 + 32*n + 13*n**2. Let x be l(14). Factor 0*f**2 + 0*f - 1/3*f**5 + x*f**3 + 1/3*f**4 + 0.
-f**4*(f - 1)/3
Suppose -5*n + 3*y = -11, -y = n + 2*y - 13. Find m such that 2*m - 14*m + 6*m**3 - 4 + n*m**2 + 6*m = 0.
-1, -2/3, 1
Let y be ((-6)/(-9))/((-2)/66). Let f be 2 + -1 + 10/y. Factor 4/11 + 2/11*z - f*z**2.
-2*(z - 1)*(3*z + 2)/11
Let r(d) = d**2 - d - 5. Let x be r(4). Determine l, given that 5*l**5 - 15*l**2 + x*l**4 + 2*l**3 + 15*l**2 = 0.
-1, -2/5, 0
Let p(r) be the first derivative of -r**4/72 + r**3/36 + 4*r - 5. Let h(x) be the first derivative of p(x). Factor h(n).
-n*(n - 1)/6
Let u = -1 + 7/2. Let p be 0/2 - 0/4. Suppose 0 + p*z + z**2 - u*z**3 = 0. Calculate z.
0, 2/5
Let r(p) be the second derivative of 5*p**7/126 + p**6/5 - 49*p**5/30 + 34*p**4/9 - 25*p**3/6 + 7*p**2/3 + 2*p + 7. Determine s, given that r(s) = 0.
-7, 2/5, 1
Let r = -6383/24 - -266. Let z(g) be the third derivative of 0*g + 1/9*g**3 + 0*g**5 + 2*g**2 + 0 + 1/360*g**6 - r*g**4. Suppose z(h) = 0. What is h?
-2, 1
Factor 28*n - 60*n**2 - 30*n**3 + 82*n**3 - 16*n**4 - 3 - 1.
-4*(n - 1)**3*(4*n - 1)
Suppose 10 = -2*f + 5*a - 10*a, 5*a + 10 = -4*f. Factor 3/4*d**3 + f*d + 0 - 3/2*d**2.
3*d**2*(d - 2)/4
Suppose 4*g - 4*y = 20, y = -2*g + 2*y + 8. Let v be 6/(-5)*g/(-6). Factor -1/5*o**5 + 2/5*o**2 - v*o**4 + 3/5*o + 1/5 - 2/5*o**3.
-(o - 1)*(o + 1)**4/5
Let r(j) = -2*j - 11. Let u be r(-8). Let s(y) be the second derivative of -2*y + 1/27*y**3 + 1/54*y**4 - 1/90*y**u - 1/9*y**2 + 0. Find d, given that s(d) = 0.
-1, 1
Suppose 4*r = -4*s - 6 - 10, -5*r = s + 20. Let a be s/(-1 + -1 + -1). Let a*c**2 - 2/7*c + 2/7*c**3 + 0 = 0. What is c?
-1, 0, 1
Suppose -26 = -3*p - 5*u, -2 - 6 = 2*p - 3*u. Factor -2/11*n**p + 2/11*n**3 + 0 - 4/11*n.
2*n*(n - 2)*(n + 1)/11
Let g(x) be the first derivative of 1 + 0*x - 1/180*x**6 + 0*x**4 + 0*x**5 - 2/3*x**3 + 0*x**2. Let z(j) be the third derivative of g(j). Solve z(m) = 0.
0
Let f be 8/4 - (5 - 1). Let w be (-440)/(-1001) - f/(-13). Solve 0*b - w + 0*b**3 - 2/7*b**4 + 4/7*b**2 = 0.
-1, 1
Factor 8/11*i + 2/11*i**5 + 26/11*i**3 + 24/11*i**2 + 12/11*i**4 + 0.
2*i*(i + 1)**2*(i + 2)**2/11
Solve 0*b - 10/13*b**3 + 4/13*b**2 + 6/13*b**4 + 0 = 0.
0, 2/3, 1
Let q(c) be the second derivative of 9/8*c**3 + 1/80*c**5 + 3/16*c**4 - 3*c + 27/8*c**2 + 0. Suppose q(b) = 0. What is b?
-3
Let y = 4 - 0. Factor 3*g**y - g**4 - 2*g**2 - g**4 + g**3.
g**2*(g - 1)*(g + 2)
Suppose -s = -5*s - 32. Let q be (1 + -2)*s/16. Factor 0 + 0*t**3 + q*t**2 + 0*t - 1/2*t**4.
-t**2*(t - 1)*(t + 1)/2
Suppose -5*i = -5*j - 14 - 96, -4*i - 5*j + 79 = 0. Suppose -q + 0*k + 1 = 3*k, -i = -4*q + 5*k. Factor -4*a**3 + 3*a**q + 0*a + 0 + 4/3*a**2.
a**2*(3*a - 2)**2/3
Suppose 35*d - 4 = -4. Suppose 0 + d*r - 2/11*r**4 + 2/11*r**3 + 4/11*r**2 = 0. Calculate r.
-1, 0, 2
Let s(a) = 2*a**3 + 6*a**2 - 2. Let p(l) = -l**2 + l + 1. Let t(c) = 2*p(c) + s(c). What is u in t(u) = 0?
-1, 0
Let i = 15 - 10. Suppose -i*f = -11 - 4. Solve 6*o**3 - 7*o**f - 2*o**3 + 3*o = 0 for o.
-1, 0, 1
Suppose 4 = -2*v + 8. Suppose s + 4*p = 22, 3*s + 5*p - 35 = -v*s. Factor 5*a + 2 + 0 - 2*a + 8*a**s + 5*a.
2*(2*a + 1)**2
Let v be ((-152)/190)/(1/3 + -1). Find y such that -4/5*y + v*y**2 + 0 + 0*y**3 - 2/5*y**4 = 0.
-2, 0, 1
Let r be 14/6*251/3. Let u = -195 + r. Factor u + 4/9*z - 2/3*z**2.
-2*(z - 1)*(3*z + 1)/9
Factor 4*m - 2*m**3 + 171 + 2*m**2 - 1