**2 - 1/7*b**4.
-b**2*(b - 2)**2/7
Suppose 0 = -f + 2*c + 10, 4*c + 27 = 5*f + 1. Suppose f*i = i. Suppose 4/9*u**2 + i - 2/9*u = 0. Calculate u.
0, 1/2
Let u = 22 + -22. Solve 2/9*w + u + 2/9*w**2 = 0.
-1, 0
Let d be 72/42 + 2/7. Let l(w) = -w + 7. Let z be l(3). Determine x, given that 8*x**5 + x**5 + d*x**2 - 2*x**5 + 16*x**z + 11*x**3 = 0.
-1, -2/7, 0
Suppose 2*w = -5*z - 28, -20 = 4*z + 4*w - 3*w. Let n be (-2)/(-8) - 0/z. Factor 1/2*y - n - 1/4*y**2.
-(y - 1)**2/4
Suppose -3*k - 15 = 0, -5*m + k + k = -30. Let n be 2/5 + -4 + m. Suppose 2/5*u - n*u**2 + 0 = 0. Calculate u.
0, 1
Let s(a) = -15*a**5 + 5*a**4 + 36*a**3 - 4*a**2 - 15*a - 1. Let i(x) = -x**3 - x**2 + 1. Let m(k) = 6*i(k) + s(k). Find q such that m(q) = 0.
-1, 1/3, 1
Factor -1/5*x**3 + 0*x**2 + 0 + 1/5*x.
-x*(x - 1)*(x + 1)/5
Let q(o) be the third derivative of 32*o**7/105 - 4*o**6/3 + 11*o**5/5 - 3*o**4/2 + 45*o**2. Find y such that q(y) = 0.
0, 3/4, 1
Let m(f) be the first derivative of -3*f**4 - 5*f**3 + 69*f**2/2 + 18*f + 18. Factor m(w).
-3*(w - 2)*(w + 3)*(4*w + 1)
Factor -98/9*y**3 - 8/9 + 16/3*y - 14/3*y**2.
-2*(y + 1)*(7*y - 2)**2/9
Let y(n) be the second derivative of -n**9/27216 + n**8/5040 - n**7/2520 + n**6/3240 - 5*n**3/3 + 6*n. Let v(b) be the second derivative of y(b). Factor v(d).
-d**2*(d - 1)**3/9
Let p(q) = -q**2 - 11*q + 12. Let d be p(-14). Let v be 3/(-2)*8/d. Factor -2/5*j - v*j**2 + 0.
-2*j*(j + 1)/5
Let p be -1*3/6*16. Let o be p/12*(1 - 4). Determine k so that -k - 3*k + 4*k**2 + 10*k**o = 0.
0, 2/7
Let k = 100 + -199/2. Let x be -2 + 6 + 0/(-1). Factor -k*f + 1/2*f**3 - f**x + 0 + f**2.
-f*(f - 1)*(f + 1)*(2*f - 1)/2
Let b(t) = t**3 + t**2 - t. Let p(u) = -3*u**3 - u**2 + 3*u - 1. Let a(y) = 4*b(y) + 2*p(y). Factor a(s).
-2*(s - 1)**2*(s + 1)
Factor 0 - 3/4*y + 3/4*y**2.
3*y*(y - 1)/4
Let t(b) = 7*b**3 - 3*b - 2. Let z be t(-1). Let s be 10 - 8 - (-4)/z. Solve -2*x**3 + 0 - s*x - 14/3*x**4 + 14/3*x**2 + 10/3*x**5 = 0 for x.
-1, 0, 2/5, 1
Factor -10 - 3*y**2 - y**2 + 8 - 4*y + 2*y**2.
-2*(y + 1)**2
Determine k, given that 6/7*k**2 - 2/7*k**4 - 8/7 - 4/7*k**3 + 8/7*k = 0.
-2, 1
Let l be ((-441)/12)/(-7) - 3. Let x = l + -91/44. Factor 6/11*h**4 + 4/11*h**3 - 4/11*h**2 + x*h**5 - 6/11*h - 2/11.
2*(h - 1)*(h + 1)**4/11
Let j be (-6)/51 + (-880)/(-544). Factor 3/2*u + j*u**2 + 0.
3*u*(u + 1)/2
Let w = 5 + -3. Determine b so that w*b + 2 - 8*b**2 + 6*b**3 + 0*b**2 - 3*b**2 + b**2 = 0.
-1/3, 1
Let s(r) be the first derivative of -1 + r + r**3 - 1/4*r**4 - 3/2*r**2. Determine a, given that s(a) = 0.
1
Let i(l) be the first derivative of l**6/60 - l**4/12 + 3*l**2/2 + 5. Let r(z) be the second derivative of i(z). Suppose r(t) = 0. What is t?
-1, 0, 1
Let u be -1 - -20 - (-10)/(-10). Factor -y**3 - u - 29*y - 14*y**2 + 0*y**3 - y**3 - y.
-2*(y + 1)*(y + 3)**2
Let p(a) be the second derivative of a**5/20 - 7*a**4/12 + 8*a**3/3 - 6*a**2 - 37*a. Factor p(u).
(u - 3)*(u - 2)**2
Let o = -11 - -13. Let b = -3 + 6. Factor 0*f**2 - 1 - 4*f**2 - b*f - o*f.
-(f + 1)*(4*f + 1)
Let k(p) = -p**5 - 22*p**4 + 15*p**3 - 4*p**2 - 4*p + 4. Let n(w) = w**5 + w**4 + w**2 + w - 1. Let l(o) = k(o) + 4*n(o). Suppose l(b) = 0. What is b?
0, 1, 5
Suppose -15 = -5*z - 0. Factor z*q**3 + 2*q**2 - 5*q**2 + 3 + 12*q**2 + 9*q.
3*(q + 1)**3
Let x(a) = -4*a + 10. Let n be x(2). Factor 4/3 - 2/3*l**n + 2/3*l.
-2*(l - 2)*(l + 1)/3
Let s be (3 - 3)*(-1 + 0). Suppose s = -4*p + 12 - 0. Let -4*d**p + 4*d**2 + d**4 + 12 - 12 = 0. Calculate d.
0, 2
Let x(z) be the third derivative of -z**6/30 - 2*z**5/5 - 2*z**4 - 16*z**3/3 + 8*z**2. Factor x(o).
-4*(o + 2)**3
Let w(f) be the third derivative of -f**6/100 + 13*f**5/150 - 4*f**4/15 + 4*f**3/15 + 5*f**2. Factor w(d).
-2*(d - 2)**2*(3*d - 1)/5
Let u be -1*1*(-5)/(-25). Let x = 7/15 - u. What is c in 0 + x*c**2 + 0*c = 0?
0
Let p be (-3)/(39/(-30) - -1). Suppose -o + 4 + 0 = 2*g, -5*g + p = 4*o. Suppose 7*n - 7*n - g*n**2 - 2*n**3 = 0. Calculate n.
-1, 0
Let k(w) be the third derivative of w**6/1440 + w**5/480 - w**4/48 + w**3/6 - 4*w**2. Let f(n) be the first derivative of k(n). Factor f(z).
(z - 1)*(z + 2)/4
Solve 1/2*a**2 + 2 - 2*a = 0.
2
Suppose -5 = h - 1. Let y be ((-2)/h)/(65/416). Factor 56/5*m**2 - 12*m**3 - y*m + 18/5*m**4 + 0.
2*m*(m - 2)*(3*m - 2)**2/5
Let x(u) = -u**3 - u**2 + u - 1. Let h be x(-2). Let b = 2 + h. Factor 4/7 + 2/7*q**b + 8/7*q**2 + 10/7*q.
2*(q + 1)**2*(q + 2)/7
Let t be (4 + (-45)/10)*-2. Suppose 3*o - t = 5. Factor 1/2*a**3 + a + 1/4 + 5/4*a**o.
(a + 1)**2*(2*a + 1)/4
Let g(q) = -14*q**4 - 6*q**3 + 8*q**2. Let u be (1/2)/(1/(-12)). Let w(j) = 15*j**4 + 6*j**3 - 9*j**2. Let b(h) = u*g(h) - 5*w(h). Determine o so that b(o) = 0.
-1, 0, 1/3
Let n(i) = i**5 - i**2 - i. Let y(u) = -3*u**5 + 2*u**4 - 2*u**3 - 4*u**2 - 3*u - 2. Let x(p) = -4*n(p) - y(p). Factor x(g).
-(g - 2)*(g + 1)**4
Let k(d) = d - 5. Let f(s) = -s + 5. Let n(y) = -3*f(y) - 2*k(y). Let i be n(7). Solve 0*u + 0 + 2/9*u**3 + 2/9*u**i = 0.
-1, 0
Let b(q) be the third derivative of q**6/48 - q**5/12 + 5*q**4/48 + 9*q**2. Suppose b(s) = 0. What is s?
0, 1
Solve -2*q + 8/3*q**5 + 4/3 - 26/3*q**3 - 34/3*q**2 + 2*q**4 = 0 for q.
-1, 1/4, 2
Let n(q) be the first derivative of 3/4*q**2 - 3 + 9/4*q + 1/12*q**3. Factor n(m).
(m + 3)**2/4
Let i(s) be the first derivative of -s**2 + 0*s - 4 + 2/3*s**3. Determine r, given that i(r) = 0.
0, 1
Let v = -2301/5 + 461. Suppose -2/5*r - v*r**3 + 1/5*r**4 + 0 + r**2 = 0. What is r?
0, 1, 2
Factor -5*t - 3*t**2 + 3 + t**2 - 10*t**2 - 4*t.
-3*(t + 1)*(4*t - 1)
Suppose 0 = w + 2*w + 18. Let j(l) = 2*l**3 + 2*l**2 + 2*l. Let b(y) = -6*y**3 - 7*y**2 - 7*y. Let f(p) = w*b(p) - 17*j(p). Suppose f(u) = 0. What is u?
-2, 0
Let f(z) be the third derivative of -z**6/210 + z**5/42 - z**4/84 - 2*z**3/21 + 39*z**2. Factor f(d).
-2*(d - 2)*(d - 1)*(2*d + 1)/7
Let y = 10 + 23. Let b = -31 + y. Factor -1/5*f**b - 1/5 + 2/5*f.
-(f - 1)**2/5
Let a(n) be the third derivative of -n**5/210 - n**4/28 - 2*n**3/21 + n**2. Let a(p) = 0. Calculate p.
-2, -1
Let l(d) = 3*d**3 - 48*d**2 + 21*d + 231. Let j(f) = -f**3 + 12*f**2 - 5*f - 58. Let a(s) = -15*j(s) - 4*l(s). Determine o, given that a(o) = 0.
-3, 2
Let o(b) be the second derivative of -1/9*b**2 + 0*b**3 - 2*b + 0 + 1/54*b**4. Factor o(j).
2*(j - 1)*(j + 1)/9
Let i(w) be the first derivative of 8/15*w**5 + 2 + 8/9*w**3 - 1/3*w**2 - 1/9*w**6 - w**4 + 0*w. Factor i(v).
-2*v*(v - 1)**4/3
Let o be (0 - -1)/(1/5). Suppose 3*r - 6*h - 16 = -h, 2 = -4*r - o*h. Solve 4/9*l**r + 2/9*l**3 + 2/9*l + 0 = 0.
-1, 0
Suppose -o + 0*o + 70 = 0. Let c be 230/o + 1*-3. Factor 2/7*t**5 - c*t**3 + 2/7*t**2 + 0*t - 2/7*t**4 + 0.
2*t**2*(t - 1)**2*(t + 1)/7
Let p(z) be the first derivative of -48*z**5/5 + z**4 + 4*z**3/3 - 22. Factor p(o).
-4*o**2*(3*o - 1)*(4*o + 1)
Let y(m) = -m**2 - 6*m - 4. Let o(r) = -r**3 + 4*r**2 - 3*r + 7. Let g be o(4). Let v be y(g). What is z in -v - 5/2*z**3 - 9/2*z - 6*z**2 = 0?
-1, -2/5
Let k = 169/102 + -8/51. Factor 3/2*q**2 - 3/2 + 3/2*q**3 - k*q.
3*(q - 1)*(q + 1)**2/2
Let a be 1/((-14)/4 - -4). Determine l so that 2*l**4 + 8*l**3 - l**2 + 14*l**3 - l**2 - 20*l**3 - a*l = 0.
-1, 0, 1
Let w(v) = -4*v**3 + 10*v**2 - 24*v + 18. Let q = -4 - -6. Let d(k) = 9*k**3 - 19*k**2 + 48*k - 37. Let p(i) = q*d(i) + 5*w(i). Find b, given that p(b) = 0.
2
Let u(y) be the second derivative of -y**8/168 + y**6/30 - y**4/12 - 5*y**2/2 + 4*y. Let a(x) be the first derivative of u(x). Factor a(f).
-2*f*(f - 1)**2*(f + 1)**2
Find q such that 0 + q - 1/5*q**2 = 0.
0, 5
Suppose -3*i = -m - 0*i - 1, 5*m - 5*i = 5. Suppose -m*n**2 - 3 - 7*n**2 - 10*n + n**2 - 1 - 2*n**3 = 0. Calculate n.
-2, -1
Let s(c) = -11*c**3 - 7*c**2. Let g(o) = 5*o**3 + 3*o**2. Let b(a) = -9*g(a) - 4*s(a). Determine p so that b(p) = 0.
0, 1
Let u = 13 - 13. Let q(k) be the third derivative of -k**2 - 1/15*k**3 - 1/75*k**5 + 0*k - 1/600*k**6 + u - 1/24*k**4. Find w, given that q(w) = 0.
-2, -1
Let q(m) = -m**3 - 6*m**2 - m - 3. Let r be q(-6). Suppose -r*t + 12 = t. Let 5*g**3 - g - t*g**3 - g = 0. What is g?
-1, 0, 1
Suppose -x - 3*c = -2*x - 4, 3*x = 2*c - 12. Let u be x/(-14)*(-70)/(-15). Factor -u*d**3 + 1/3 + 2*d**2 + 1/3*d**4 - 4/3*d.
(d - 1)**4/3
Let j(n) be the first derivative of n**3 - 9*n**2 + 27*n - 15. Factor j(d).
3*(d - 3