 d(x) = b*v(x) - 6*c(x). Factor d(t).
t*(t - 1)**2
Let i be ((-40)/(-6))/(-5)*27/(-66). Factor -i*s + 2/11 + 4/11*s**2.
2*(s - 1)*(2*s - 1)/11
Let m = -8/9 - -14/9. Solve 2*x - 4/3 - m*x**2 = 0.
1, 2
Let b(c) be the third derivative of -c**7/280 + c**6/96 - c**5/240 - c**4/96 - 5*c**2. Determine r, given that b(r) = 0.
-1/3, 0, 1
Let s = -142 + 142. Let z(o) be the first derivative of s*o - 1/16*o**4 + 1 + 0*o**2 - 1/12*o**3. Factor z(b).
-b**2*(b + 1)/4
Let w(g) = -3*g**2 - 46*g - 141. Let y be w(-11). Factor 10/9*n - 4/9 - 2/3*n**y.
-2*(n - 1)*(3*n - 2)/9
Solve 32/9*a**3 + 28/3*a**2 + 8*a + 0 + 4/9*a**4 = 0 for a.
-3, -2, 0
Let p(n) be the first derivative of -2*n**6/21 - 12*n**5/35 - 2*n**4/7 + 8*n**3/21 + 6*n**2/7 + 4*n/7 - 11. Factor p(o).
-4*(o - 1)*(o + 1)**4/7
Suppose -4*u + 40 = -0*u. Solve -3*m**3 - 3*m - 1 + 0*m**2 + m**2 - 4*m**5 + u*m**3 = 0 for m.
-1, -1/2, 1
Let s(l) be the first derivative of -l**3/15 - l**2/2 - 6*l/5 + 28. Factor s(g).
-(g + 2)*(g + 3)/5
Let v(o) = -o**5 + o**4 + o**3 - o**2. Let f be (4*-1)/((-2)/(-3)). Let k(t) = -4*t**5 + 6*t**4 - 2*t**2. Let l(n) = f*v(n) + 2*k(n). Factor l(m).
-2*m**2*(m - 1)**3
Let u(k) be the third derivative of 8*k**7/315 + 11*k**6/90 + k**5/5 + k**4/18 - 2*k**3/9 + 4*k**2. Solve u(m) = 0 for m.
-1, 1/4
Let b(n) = n + 13. Let g be b(-8). Factor 0 + 5*y**3 - y + 3*y**4 - 4*y**3 - g*y**2 + 2.
(y - 1)*(y + 1)**2*(3*y - 2)
Suppose 4*o = 2*c - 300, 5*c - 4*o + 3*o = 705. Let z be (c/8)/5 - -4. Solve -z*p**4 + 41/2*p**3 - 39/2*p**2 + 15/2*p - 1 = 0.
1/3, 2/5, 1
Let a(d) = -10*d**4 + 23*d**2 - 27*d + 7. Let r(q) = 5*q**4 - 12*q**2 + 13*q - 3. Let u(b) = -3*a(b) - 7*r(b). Factor u(k).
-5*k*(k - 1)**2*(k + 2)
Let y(v) be the first derivative of v**4/24 - 23*v**3/18 + 143*v**2/12 - 121*v/6 - 65. Factor y(f).
(f - 11)**2*(f - 1)/6
Let u = -188084/76143 - 2/4479. Let n = u - -262/51. Factor -2/3*f**4 + n*f**3 - 2/3 - 4*f**2 + 8/3*f.
-2*(f - 1)**4/3
Let c be (-92)/(-2)*2/(-4). Let y be (c/(-7) - 3)/1. Solve 0 - y*t - 2/7*t**2 = 0.
-1, 0
Let w(y) be the third derivative of y**5/390 + y**4/156 + 4*y**2. Suppose w(v) = 0. What is v?
-1, 0
Suppose r + 4 = 4*z - 3*r, 4*r - 8 = 0. Let i = 281/1008 + 1/144. Suppose 2/7*b**z + 0 + 2/7*b**4 - 2/7*b - i*b**2 = 0. Calculate b.
-1, 0, 1
Let d(r) be the first derivative of 2 + 12/25*r**5 + 11/10*r**4 - 2/5*r + 2/5*r**3 - 3/5*r**2. Suppose d(w) = 0. Calculate w.
-1, -1/3, 1/2
Let j(d) be the first derivative of d**3/3 + 5*d**2/2 + 2. Let l be j(-5). Let l + 2/3*w**2 - 2/3*w**3 + 0*w = 0. Calculate w.
0, 1
Let c(w) be the third derivative of -w**6/120 - w**5/30 - w**4/24 - 3*w**2. Factor c(h).
-h*(h + 1)**2
Find r such that 0 + 3/2*r**4 + 9/2*r**2 - 9/2*r**3 - 3/2*r = 0.
0, 1
Let i(a) be the third derivative of a**8/84 + 2*a**7/105 - a**6/15 + 32*a**2. Suppose i(l) = 0. What is l?
-2, 0, 1
Factor 8*w**2 - 4*w - 6*w**4 - 3*w - 2*w**4 + 4*w**5 + 3*w.
4*w*(w - 1)**3*(w + 1)
Let d = 1 - -2. Factor -d + 0*s + 4*s**2 - 5*s**2 + 3*s + s.
-(s - 3)*(s - 1)
Let s = 2069/20 + -409/4. Let -2/5*c**4 + s*c**3 + 0 - 6/5*c**2 + 2/5*c = 0. What is c?
0, 1
Let a be (-10)/45*(1 - 10). Let p(n) be the third derivative of 0 + 0*n - a*n**2 + 2/3*n**3 - 7/30*n**5 - 5/12*n**4. Suppose p(u) = 0. What is u?
-1, 2/7
Let d be 2/(-14) + (-74)/(-420). Let z(m) be the second derivative of 1/24*m**3 + 0 - d*m**6 - 7/80*m**5 + m - 1/24*m**4 + 0*m**2. Find b such that z(b) = 0.
-1, 0, 1/4
Let a(b) = -4*b**2 + 20*b - 12. Let o(q) = -q - 1. Let z(h) = -a(h) - 4*o(h). Factor z(l).
4*(l - 2)**2
Factor 0*l**3 + 0 - 1/2*l**4 + 1/2*l**2 + 0*l.
-l**2*(l - 1)*(l + 1)/2
Let x(q) be the first derivative of q**6/12 - q**5/2 + 9*q**4/8 - 7*q**3/6 + q**2/2 - 1. Determine m, given that x(m) = 0.
0, 1, 2
Let u be 2 - (-1)/15 - 2. Let v(o) be the first derivative of 2 + 1/5*o + 1/5*o**2 + u*o**3. Factor v(p).
(p + 1)**2/5
Let q be 4/1 + -12 + 10. Let l(r) be the first derivative of -4/3*r**3 - 1/2*r**4 - q + 0*r - r**2. Let l(x) = 0. What is x?
-1, 0
Factor 3/5*l**4 + 0*l**2 + 0*l - 3/5*l**3 + 0.
3*l**3*(l - 1)/5
Let u(y) = -y**4 - y**3 - y**2 - y - 1. Let i(a) = 8*a**2 + 4*a - 2. Let m(q) = -i(q) - 2*u(q). Factor m(z).
2*(z - 1)**2*(z + 1)*(z + 2)
Let z be 3/(-4) - 66/(-24). Let b be (-4)/z*(4 - 6). Factor -6/5*r**3 - 2/5*r**2 + 0*r + 0 - 4/5*r**b.
-2*r**2*(r + 1)*(2*r + 1)/5
Factor -19 - 9*p**2 - 6*p**2 + 9 - 25*p.
-5*(p + 1)*(3*p + 2)
Let g be -3 + 0*(-2 + 1). Let a be 0*(g - (-21)/6). Factor 2/7*t**2 + a*t + 0.
2*t**2/7
Let n = -70 + 136. Let o be -2*(n/(-21) - -3). Factor -2/7*m**2 - o + 4/7*m.
-2*(m - 1)**2/7
Suppose i = 4*t + 72, -6*t = 2*i - 3*t - 111. Let y = i + 15. Factor -3*k**3 - 4 - 33*k - 42*k**4 - y*k**3 - 9*k**5 - 72*k**2 - 2.
-3*(k + 1)**4*(3*k + 2)
Suppose 0 = -2*x - x. Determine v, given that 2*v**4 - v + x*v + 2*v**3 - 2*v**2 - 2*v**3 + v**5 = 0.
-1, 0, 1
Suppose 4*q - 10 - 10 = 0, -5*f - q = -30. Find a such that 34/11*a**2 - 14/11*a**3 - 42/11*a**4 + 8/11 - 18/11*a**f + 32/11*a = 0.
-1, -2/3, 1
Let d(o) = o**4 - 3*o**3 - 3*o**2 - o + 2. Let v(t) = -2*t**4 + 10*t**3 + 9*t**2 + 2*t - 6. Let p(r) = -11*d(r) - 4*v(r). Factor p(k).
-(k + 1)**3*(3*k - 2)
Let p(g) = 6*g - 2. Let n be p(5). Let d be (-1)/2 + 22/n. Factor -2/7*i**4 + 0 + d*i**3 - 2/7*i + 2/7*i**2.
-2*i*(i - 1)**2*(i + 1)/7
Factor 2/3*y**3 + 0 - 1/6*y**4 + 1/3*y - 5/6*y**2.
-y*(y - 2)*(y - 1)**2/6
Let o(r) be the second derivative of 0*r**3 - 1/105*r**6 - 5*r + 1/70*r**5 + 0*r**4 + 0*r**2 + 0. Factor o(q).
-2*q**3*(q - 1)/7
Let i be (-4)/14 + 74/63. Factor -2/9*b - 4/3*b**3 + 0 + i*b**2 + 8/9*b**4 - 2/9*b**5.
-2*b*(b - 1)**4/9
Let v(b) = -2*b**3 - 2. Let i(j) = -j - 1. Let n(u) = -6*i(u) + v(u). Find l such that n(l) = 0.
-1, 2
Let q(s) be the first derivative of 3*s**4/20 + 3*s**3/5 + 3*s**2/5 + 12. Factor q(d).
3*d*(d + 1)*(d + 2)/5
Find x, given that -9*x**3 - 10*x**2 - 16*x**3 - 6*x**4 - 9*x**4 = 0.
-1, -2/3, 0
Let b(f) = -f**3 - 4*f**2 + 5*f + 6. Let w be b(-5). Let p be 2/6*w/1. Factor -1 + 1 - p*m**2 + m + m**3.
m*(m - 1)**2
Let l(q) be the second derivative of -q**2 - 4/3*q**3 - 1/3*q**4 + 1/5*q**6 - 2*q + 2/5*q**5 + 0. Factor l(n).
2*(n - 1)*(n + 1)**2*(3*n + 1)
Let f(n) be the third derivative of -1/300*n**6 - 1/60*n**4 + 1/75*n**5 + 0*n + 0 + 2*n**2 + 0*n**3. Let f(p) = 0. Calculate p.
0, 1
Suppose 0 = -4*s - 4*y + 5*y + 6, -y = -s. Suppose 0 + 0*d + 1/2*d**s = 0. What is d?
0
Determine c so that 0 - 2/3*c**3 + 4/3*c**2 + 0*c - 4/3*c**4 + 2/3*c**5 = 0.
-1, 0, 1, 2
Let x(r) be the first derivative of 0*r + 0*r**5 + 1/36*r**6 + 6 + 0*r**3 - 1/12*r**4 + 1/12*r**2. Determine a, given that x(a) = 0.
-1, 0, 1
Let y = 476/2925 + -2/225. Let -y*o**2 - 2/13*o**4 + 0*o + 4/13*o**3 + 0 = 0. Calculate o.
0, 1
Let t(k) = 9*k**4 + 3*k**3 + 4*k**2 + 5*k. Let h(l) = -8*l**4 - 4*l**3 - 4*l**2 - 4*l. Let r be (-1)/((-1)/6) + -2. Let s(f) = r*t(f) + 5*h(f). Factor s(x).
-4*x**2*(x + 1)**2
Let k(n) = 2*n**2 + 2*n. Let r(t) = 2*t**2 + 2*t. Let j(u) = 5*k(u) - 6*r(u). Factor j(q).
-2*q*(q + 1)
Suppose o = -4*o - 15. Let w be (0*o/(-6))/(-1). Factor -5*l**4 - 12*l**3 + 2*l - 2*l**4 + w*l**2 - 3*l**2.
-l*(l + 1)**2*(7*l - 2)
Let h(o) be the second derivative of 3*o**7/49 + 2*o**6/35 - 11*o**5/70 - 2*o**4/21 + 4*o**3/21 + 30*o. Find c, given that h(c) = 0.
-1, 0, 2/3
Factor -18/7*a**2 - 2/7*a**3 + 0*a + 0.
-2*a**2*(a + 9)/7
Let s(b) be the first derivative of b**6/15 - b**5/5 + 2*b**3/3 - 3*b**2/2 + 4. Let x(g) be the second derivative of s(g). Factor x(d).
4*(d - 1)**2*(2*d + 1)
Let k(g) be the first derivative of -1/3*g**3 + 0*g - 1 + 1/2*g**2. Determine i, given that k(i) = 0.
0, 1
Let o(c) be the third derivative of -c**6/160 + c**4/32 - 4*c**2. Factor o(l).
-3*l*(l - 1)*(l + 1)/4
Let o(k) be the first derivative of -k**7/840 - k**6/72 - k**5/15 - k**4/6 + k**3 + 3. Let l(m) be the third derivative of o(m). Factor l(r).
-(r + 1)*(r + 2)**2
Let q(p) = p**2 - 2*p - 4. Let f(r) = -3*r**2 + 5*r + 11. Let b(c) = -6*f(c) - 17*q(c). Let a be b(-4). Suppose -3*z + a*z + 0*z - z**2 = 0. What is z?
-1, 0
Let j(a) = a**3 + 21*a**2 + 40*a + 40. Let u be j(-19). Find w such that -2/5*w**3 - 2/5*w + 4/5*w**u + 0 = 0.
0, 1
Factor 2/23*c + 4/23 - 4/23*c**2 - 2/23*c**3.
-2*(c - 1)*(c + 1)*(c + 2)/23
Let d(j) be the second derivative of j**4/3 + 4*j**3/3 +