*4 - 9*i**3 + 5*i**2 - 3*i + 3. Let m(h) = 14*n(h) + 6*z(h). Factor m(o).
-4*o**2*(o - 1)**3
Suppose 3*w + w + 5*i = 22, w = 4*i - 5. Suppose z + 0*z - w = 0. Factor -13*k**5 + 6*k**z - 44*k**4 + 3*k**5 - 16*k**2 - 62*k**3.
-2*k**2*(k + 2)**2*(5*k + 2)
Suppose -w + 0*w = -4. Factor -4*u**2 - 7*u**3 + 13*u**3 + 2*u**w - u**5 - 4*u - 3*u**3.
-u*(u - 2)**2*(u + 1)**2
Let c(b) = b**3 + 5*b**2 + 5*b + 2. Let r be c(-3). Determine i, given that 3*i**2 - 10*i**3 + 8*i**4 + i**3 - 7*i**4 + 8*i**4 - 3*i**r = 0.
0, 1
Factor 0 + 1/4*v + 1/4*v**4 + 3/4*v**3 + 3/4*v**2.
v*(v + 1)**3/4
Let h = -7 + 8. Let z(t) = t + 1. Let j be z(h). Suppose 0 + 0*w - 2/3*w**j + 2/3*w**3 = 0. What is w?
0, 1
Let h be ((-72)/28)/6*(-56)/16. Solve 2 + 0*p + 1/2*p**3 - h*p**2 = 0 for p.
-1, 2
Solve 21 - 2*s - 2*s - 2*s**4 + 4*s**3 - 19 = 0 for s.
-1, 1
Let p(d) = -2*d**2 - 6*d + 3. Let c(k) = 7*k**2 + 9*k - 2. Let r(a) = a**2 + a. Let s(y) = -c(y) + 6*r(y). Let v(t) = 4*p(t) - 7*s(t). Factor v(j).
-(j + 1)*(j + 2)
Let s(p) = -p**2 - 26*p + 71. Let k(o) = 2*o**2 + 25*o - 70. Let g(n) = -4*k(n) - 5*s(n). Let g(d) = 0. Calculate d.
5
Let h(z) be the third derivative of z**5/20 - 11*z**4/4 + 121*z**3/2 + 40*z**2. Solve h(x) = 0.
11
Let f(k) be the first derivative of k**6/51 + 6*k**5/85 - k**4/34 - 22*k**3/51 - 12*k**2/17 - 8*k/17 + 13. Find r, given that f(r) = 0.
-2, -1, 2
Let u be (3/(-10))/(5/240). Let l = u - -84/5. Factor 3/5*d**2 + 12/5 + l*d.
3*(d + 2)**2/5
Let d(f) be the second derivative of f**8/6720 - f**7/1120 + f**6/480 - f**5/480 + f**3/3 + 2*f. Let k(v) be the second derivative of d(v). Factor k(i).
i*(i - 1)**3/4
Let u(n) = -n**5 - n + 1. Let i(w) = -8*w**5 + 2*w**4 - 2*w**2 - 10*w + 9. Let a(x) = 2*i(x) - 18*u(x). Factor a(f).
2*f*(f - 1)*(f + 1)**3
Let b = 2282/3 - 754. Let k = b - 77/12. Factor 1/4*r**3 + 0 + 0*r**2 - k*r.
r*(r - 1)*(r + 1)/4
Let m(o) = 6*o**5 + o**4 - o**3 - 2*o - 2. Let a(w) = -13*w**5 - w**4 + 2*w**3 + 5*w + 5. Let h(c) = -4*a(c) - 10*m(c). Solve h(t) = 0.
-1, 0, 1/4
Let z = 15 - 7. Suppose -z = -0*x - 2*x. Factor -4*r**3 + 2*r**5 + 4*r**5 - x*r**5 + r + r.
2*r*(r - 1)**2*(r + 1)**2
Let r(s) = s**5 + s**4 + s**2 - s - 1. Let i(n) = 8*n**5 + 2*n**4 - 8*n**3 + 14*n**2 - 6. Let h be (-3)/(-2)*(-60)/(-9). Let p(g) = h*r(g) - i(g). Factor p(m).
2*(m - 1)*(m + 1)**3*(m + 2)
Suppose -23 = -4*f + 5*k, 3*f = -3*k - 2*k - 9. Let d = 5 - f. What is r in -1/2*r**5 - 1/4*r**4 + 0*r + 1/4*r**d + 0 + 0*r**2 = 0?
-1, 0, 1/2
Let y = 5312/11 - 482. Suppose 2*f**3 - y*f + 12/11*f**4 - 4/11 + 4/11*f**2 = 0. Calculate f.
-1, -1/2, 2/3
Let l be ((-3)/36)/((-1)/3). Let h(b) = b**2 + 2*b - 5. Let v be h(-4). Factor -y - y**v - 3/2*y**2 - l - 1/4*y**4.
-(y + 1)**4/4
Let m(g) = -g**2 - 4*g + 7. Let d be m(-5). Suppose -d*f + 7 = 3. Suppose 4/3 + 1/3*c**f + 4/3*c = 0. Calculate c.
-2
Let w(p) be the first derivative of 4*p**5/5 + 4*p**4 + 8*p**3 + 8*p**2 + 4*p + 3. Factor w(u).
4*(u + 1)**4
Let g be 5/1*12/5. Suppose -2*p - 2*p + g = 0. Find m, given that -8/11 - 10/11*m**2 + 2/11*m**p + 16/11*m = 0.
1, 2
Let k(i) be the first derivative of -4*i**3/21 - 5*i**2/14 - i/7 - 3. Factor k(w).
-(w + 1)*(4*w + 1)/7
Let k = 175 - 1223/7. Factor k*s**5 + 10/7*s - 2/7 - 10/7*s**4 + 20/7*s**3 - 20/7*s**2.
2*(s - 1)**5/7
Let s be 4/10*(-6)/(-6). Factor 2/5 + s*j + 2/5*j**4 + 2/5*j**5 - 4/5*j**3 - 4/5*j**2.
2*(j - 1)**2*(j + 1)**3/5
Let d(v) be the second derivative of v**10/6480 + v**9/11340 - 5*v**4/12 + 5*v. Let i(j) be the third derivative of d(j). Factor i(f).
2*f**4*(7*f + 2)/3
Let m(z) be the second derivative of -z**5/60 + 7*z**4/12 - 49*z**3/6 + 343*z**2/6 + 16*z. Factor m(u).
-(u - 7)**3/3
Determine u so that -7*u**3 + 8*u**2 - 14*u**4 - 2*u**3 + 0*u**3 - 15*u**3 = 0.
-2, 0, 2/7
Let m(x) be the third derivative of -x**8/1176 - x**7/735 + 6*x**2. Let m(q) = 0. What is q?
-1, 0
Let a = -525 - -1576/3. Find r such that -1/3*r**2 + r**3 - a*r**4 - r + 2/3 = 0.
-1, 1, 2
Let r be ((-5)/(-1) - 4)*0. Let p(m) be the third derivative of m**2 + 0*m**3 + 0 + r*m + 1/30*m**5 + 0*m**4. Suppose p(o) = 0. What is o?
0
Let g(q) = -12*q**4 - 4*q**3 + 12*q**2 + 4*q - 4. Let h(c) = -11*c**4 - 4*c**3 + 11*c**2 + 4*c - 5. Let j(r) = -5*g(r) + 4*h(r). Find d, given that j(d) = 0.
-1, -1/4, 0, 1
Factor 4*w**4 + 4*w**4 - 8*w - 5 + 10*w**3 - 2*w - 3*w**4.
5*(w - 1)*(w + 1)**3
Let u(o) be the first derivative of 22*o**5/5 - 31*o**4/2 + 18*o**3 - 5*o**2 - 4*o + 2. Let u(k) = 0. What is k?
-2/11, 1
Let u(n) = -22*n**4 - 10*n**3 + 4*n**2 - 8*n. Let k(i) = 7*i**4 + 3*i**3 - i**2 + 3*i. Let r(y) = -8*k(y) - 3*u(y). Solve r(s) = 0 for s.
-1, 0, 2/5
Factor -16*b**2 + 13*b**3 + 11*b + 9*b - 17*b**3.
-4*b*(b - 1)*(b + 5)
Factor 4*z**4 - z**3 - 2/3*z**2 + 0 - 7/3*z**5 + 0*z.
-z**2*(z - 1)**2*(7*z + 2)/3
Factor 6*f**2 + 35 - 3*f - 41 - f**3 + 4*f**3.
3*(f - 1)*(f + 1)*(f + 2)
Let j(f) be the second derivative of 4*f + 0 + 1/105*f**6 + 0*f**3 - 1/70*f**5 + 0*f**2 - 1/42*f**4 + 1/147*f**7. Factor j(a).
2*a**2*(a - 1)*(a + 1)**2/7
Let i be (1 + 2/8)*4. Suppose i*y = -25, -3*v - 2*y - 2 - 2 = 0. Suppose 4*o**3 - o**2 + 5*o**2 - v*o**2 + 2*o**4 = 0. Calculate o.
-1, 0
Let j be (5 - 14)*3/(-9*1). Let y(o) be the second derivative of -1/66*o**4 + 3/110*o**5 + 0*o**2 + 0*o**3 - 2/165*o**6 - j*o + 0. Find m, given that y(m) = 0.
0, 1/2, 1
Let c(w) be the first derivative of w**7/147 - 4*w**6/105 + w**5/14 - w**4/21 - 2*w - 3. Let v(x) be the first derivative of c(x). Find i, given that v(i) = 0.
0, 1, 2
Solve 4/9*v**2 + 10/9*v**3 + 0*v - 4/9*v**4 + 0 - 10/9*v**5 = 0 for v.
-1, -2/5, 0, 1
Let n(c) be the third derivative of 0 - 1/504*c**8 - 1/90*c**5 + 0*c + 1/180*c**6 - c**2 + 0*c**3 + 0*c**4 + 1/315*c**7. Let n(x) = 0. Calculate x.
-1, 0, 1
Let 1/3*t**2 - 16/3*t + 64/3 = 0. What is t?
8
Let x(l) = -l**4 - l**3 - l - 1. Let w(r) = 24*r**4 + 36*r**3 + 24*r**2 + 36*r + 24. Let q(y) = -w(y) - 20*x(y). Factor q(s).
-4*(s + 1)**4
Suppose -4 = 5*x + 26. Let b be (-1 - x/4)*6. Suppose 0*c + 1/2*c**2 + 0 + 1/2*c**b = 0. What is c?
-1, 0
Let n be (-17 + 16)/(1*(-2)/12). Let z(u) be the third derivative of u**2 + 0*u + 1/60*u**4 + 0*u**3 - 1/75*u**5 + 0 + 1/300*u**n. Factor z(v).
2*v*(v - 1)**2/5
Suppose -4*g + 24 - 4 = 0. Let m(z) be the second derivative of 1/21*z**7 + 1/6*z**3 - 1/12*z**4 + 1/30*z**6 + 0*z**2 + 2*z - 3/20*z**g + 0. Factor m(i).
i*(i - 1)*(i + 1)**2*(2*i - 1)
Let a be -3*(1/3)/(14/(-42)). Factor 0*m + 0*m**2 + 1/4*m**a + 0.
m**3/4
Let w = 5/12 + 9/4. Let l(t) be the second derivative of 2*t + 1/10*t**5 + 0 + w*t**3 - 4*t**2 - 5/6*t**4. Factor l(v).
2*(v - 2)**2*(v - 1)
Solve -2/3*f + 2/3*f**3 - 2/3*f**2 + 2/3*f**4 + 0 = 0.
-1, 0, 1
Let j(y) be the second derivative of 1/27*y**4 + 0*y**2 - 7*y + 0*y**3 + 0 - 1/90*y**5 - 1/135*y**6. Factor j(f).
-2*f**2*(f - 1)*(f + 2)/9
Let x(i) be the second derivative of -i + 0 + 1/15*i**3 - 1/10*i**2 - 1/60*i**4. Factor x(g).
-(g - 1)**2/5
Solve -1/3*s**2 + 0 - 1/3*s = 0 for s.
-1, 0
Let o(u) be the first derivative of u**5/180 - u**4/36 + u**2/2 - 2. Let y(d) be the second derivative of o(d). Let y(v) = 0. What is v?
0, 2
Suppose 3 = h - 4*h - 2*a, -h = -a - 4. Suppose 5 = 2*u + h. What is c in -c - 3 + 1 + c + u*c**2 = 0?
-1, 1
Let y be (9/(-6))/(6/(-8)). Solve 2*l**2 + 0*l**3 + 2*l**3 - l**4 - 2*l**2 - l**y = 0.
0, 1
Let -2/3 + 11/6*t**3 + 1/3*t**5 + 11/6*t**4 - 13/6*t - 7/6*t**2 = 0. What is t?
-4, -1, -1/2, 1
Let x = -1/156 + 2189/780. Suppose x*h**3 + 16/5*h + 38/5*h**2 - 8/5 = 0. Calculate h.
-2, -1, 2/7
Let z = 1283/8 - 160. Let g(a) be the first derivative of -1/10*a**5 + 3 + 1/4*a**2 + z*a**4 + 0*a - 1/2*a**3. What is c in g(c) = 0?
0, 1
Factor 0*d - 2/11*d**5 + 6/11*d**4 - 6/11*d**3 + 0 + 2/11*d**2.
-2*d**2*(d - 1)**3/11
Suppose -m - 7 = -0*m + 2*o, -22 = -4*m + 2*o. Let r(u) be the second derivative of 0*u**2 - 1/45*u**6 + 0 + 1/9*u**m + 1/10*u**5 - 1/6*u**4 + 3*u. Factor r(a).
-2*a*(a - 1)**3/3
Let c(s) be the first derivative of 3/4*s**2 + 0*s - 3 - 7/4*s**3. Factor c(t).
-3*t*(7*t - 2)/4
Let p(v) be the third derivative of -v**7/280 - v**6/160 + v**5/80 + v**4/32 + 8*v**2. Solve p(k) = 0.
-1, 0, 1
Let p(n) = n**5 - n**4 + n**3 - n + 1. Let l(m) = 7*m**5 + 11*m**4 - 23*m**3 - 46*m**2 - 25*m - 5. Let b(u) = 2*l(u) + 2*p(u). What is f in b(f) = 0?
-1, -1/4