 = g*k(f) - 3*m(f). Suppose i(q) = 0. Calculate q.
0, 1
Let x = 8/5 + 4/5. Factor -8/5 + 1/5*o**3 - 6/5*o**2 + x*o.
(o - 2)**3/5
Suppose -10 = -2*j + 3*q, 3*j - 15 = 2*q - 0. Let 0*f**2 - 2/3*f**j - 2/3*f**3 + 0*f + 0 - 4/3*f**4 = 0. Calculate f.
-1, 0
Suppose 17*n = 21*n. Let d(h) be the first derivative of -2 + n*h + 0*h**2 - 1/10*h**4 + 2/15*h**3. Factor d(c).
-2*c**2*(c - 1)/5
Let h be (5/1)/((-1)/(-1)). Factor -h*v**2 + 4*v + 2 - 4*v**2 + 3*v**2.
-2*(v - 1)*(3*v + 1)
Suppose 2*j = 3*j. Let m(n) be the second derivative of 1/30*n**4 + j*n**3 + 2*n + 0 + 0*n**2. Factor m(v).
2*v**2/5
Let c(g) = 7*g**3 + 3*g**2 + 5 + 5*g - 3*g**2 + 2*g**2. Suppose -2*s = -1 - 7. Let i(w) = 6*w**3 + 2*w**2 + 4*w + 4. Let x(k) = s*c(k) - 5*i(k). Factor x(q).
-2*q**2*(q + 1)
Let r be 6/(-33) - 70/(-264). Let j(c) be the first derivative of -2/3*c**3 + 1 + r*c**4 + 2*c**2 - 8/3*c. Determine u, given that j(u) = 0.
2
Let l(j) be the third derivative of 0*j**3 - 1/20*j**5 - 1/4*j**4 + 1/70*j**7 + 0 + 1/20*j**6 + 2*j**2 + 0*j. Suppose l(p) = 0. Calculate p.
-2, -1, 0, 1
Let l(y) = y**2 + y - 2. Let j be l(-3). What is o in 0*o**2 - 6*o + j*o**2 + 5*o**2 + 6*o**2 = 0?
0, 2/5
Let o(s) be the third derivative of s**6/1080 - s**5/90 - 5*s**4/72 - 4*s**3/27 + 8*s**2. Factor o(a).
(a - 8)*(a + 1)**2/9
Factor -8/5*g + 0*g**3 + 12/5*g**2 - 4/5*g**4 + 0.
-4*g*(g - 1)**2*(g + 2)/5
Let p(y) be the third derivative of -1/15*y**3 + 3*y**2 + 0*y**4 + 0*y + 1/150*y**5 + 0. Factor p(l).
2*(l - 1)*(l + 1)/5
Let r(i) be the second derivative of i**7/2940 + i**6/630 + i**5/420 + i**3/3 + 2*i. Let q(x) be the second derivative of r(x). Find g, given that q(g) = 0.
-1, 0
Let l(t) be the third derivative of -t**6/180 - t**5/15 - t**4/3 + t**3/2 + 3*t**2. Let c(f) be the first derivative of l(f). What is n in c(n) = 0?
-2
Factor 2/5*u**3 + 0 + 2/5*u**4 + 0*u**2 + 0*u.
2*u**3*(u + 1)/5
Let i be -2 + 3 + 2/(-1). Let l = 3 + i. Let 8*j**l + 0*j + 2 - 7*j - j = 0. Calculate j.
1/2
Let g = 74/105 + -2/15. Factor 4/7 - g*m**2 + 2/7*m**3 - 2/7*m.
2*(m - 2)*(m - 1)*(m + 1)/7
Let m(w) be the third derivative of w**7/560 + w**6/120 + w**5/80 - w**3/6 - 6*w**2. Let z(r) be the first derivative of m(r). What is i in z(i) = 0?
-1, 0
Suppose -32 + 32 = 9*a. Factor -5/6*u**2 + 1/2*u**3 - 1/6*u**5 + 1/3*u + 1/6*u**4 + a.
-u*(u - 1)**3*(u + 2)/6
Let f(s) be the first derivative of 4*s**5/25 - 2*s**4/5 + 4*s**2/5 - 4*s/5 - 1. Factor f(v).
4*(v - 1)**3*(v + 1)/5
Let 1/2*n - 1/2*n**2 + 0 = 0. Calculate n.
0, 1
Suppose -5*d = -8*d. Let r(h) be the third derivative of 0 + d*h**6 + 1/24*h**4 + 0*h**3 + 1/30*h**5 + 0*h - 1/336*h**8 - 1/105*h**7 - 2*h**2. Factor r(u).
-u*(u - 1)*(u + 1)**3
Let j(c) = c**3 - 6*c**2 - 8*c + 10. Suppose 16 = -5*i + 51. Let y be j(i). Determine r, given that 0*r - r + 0*r**2 + 2*r**2 - y*r**2 = 0.
-1, 0
Let i(v) = -7 + 10*v**2 + v - 5*v - 9*v**3 - v**2 + v**3. Let h(p) = 8*p**3 - 10*p**2 + 4*p + 6. Let m(f) = 5*h(f) + 4*i(f). Factor m(z).
2*(z - 1)**2*(4*z + 1)
Find m such that 0*m - 2/11 + 2/11*m**2 = 0.
-1, 1
Determine w so that -22*w**3 + 0*w**5 - 4*w**5 + 12*w**4 + 3*w + 6*w**4 + 5*w = 0.
-1/2, 0, 1, 2
Let g(m) = 16*m**3 + 54*m**2 + 60*m + 19. Let v(j) = -j**3 + j**2 + 1. Let s(k) = -g(k) - v(k). Factor s(y).
-5*(y + 1)*(y + 2)*(3*y + 2)
Let l(p) = -3*p**2 + 7*p - 9. Let n(c) = -c**2 + c + 1. Let b(j) = l(j) + 5*n(j). Determine y, given that b(y) = 0.
1/2, 1
Let h = -60581/1905 + 2/1905. Let v = 33 + h. Factor 2/5 - 2/5*m**3 + v*m**2 - 6/5*m.
-2*(m - 1)**3/5
Let z(y) be the first derivative of -y + 1/6*y**3 + 3 + 1/4*y**2. Find c such that z(c) = 0.
-2, 1
Suppose 20 = 3*d + 2*d. Suppose d*p + 0 - 8 = 0. What is x in p - 3*x - 1/4*x**3 + 3/2*x**2 = 0?
2
Let w(q) be the third derivative of q**7/195 + 23*q**6/780 + 9*q**5/130 + q**4/12 + 2*q**3/39 + 3*q**2. Find c such that w(c) = 0.
-1, -2/7
Let v = 64 + -61. Let f(d) be the second derivative of 1/24*d**3 - v*d + 0 - 1/80*d**5 - 1/8*d**2 + 1/48*d**4. Factor f(u).
-(u - 1)**2*(u + 1)/4
Suppose 120*q = 123*q. Factor 0*r + 0 + q*r**2 - 2/7*r**4 + 2/7*r**3.
-2*r**3*(r - 1)/7
Let v(t) be the third derivative of t**8/1176 - 8*t**7/735 + t**6/20 - t**5/15 - 5*t**4/21 + 8*t**3/7 + 23*t**2. Factor v(x).
2*(x - 3)*(x - 2)**3*(x + 1)/7
Let b(x) be the third derivative of 0*x**6 - 1/105*x**5 + 0*x + 1/21*x**3 + 1/735*x**7 + 0*x**4 + 0 + 4*x**2. Let b(k) = 0. Calculate k.
-1, 1
Let r(i) = -2*i**2 + i - 3. Let l(b) = 6*b**2 - 4*b + 10. Let u(w) = -3*l(w) - 10*r(w). Determine t, given that u(t) = 0.
-1, 0
Let g(s) be the third derivative of -s**6/1140 + s**5/38 - s**2 + 61. Find p, given that g(p) = 0.
0, 15
Let z = -1 + 4. Let t(k) = 4*k**5 - k**4 - 3*k**3 + 5*k**2 + k. Let w(a) = -5*a**5 + 4*a**3 - 6*a**2 - 2*a. Let i(x) = z*t(x) + 2*w(x). Factor i(r).
r*(r - 1)**2*(r + 1)*(2*r - 1)
Let y(o) be the second derivative of -4*o + 0*o**4 + 1/20*o**6 + 0 - 3/4*o**2 - 3/20*o**5 + 1/2*o**3. Find b such that y(b) = 0.
-1, 1
Suppose -2*s - 3*s + 3*q + 19 = 0, -2*q = -4. Factor o**2 - o**s - 8*o**4 + 4 + o**3 + 7*o**4 - 4.
-o**2*(o - 1)*(o + 1)**2
Let j(g) = -10*g**2 + 6*g - 24. Suppose 0*i + 4*i + 56 = 0. Let u(d) = 2*d**2 - d + 5. Let q(z) = i*u(z) - 3*j(z). Factor q(r).
2*(r - 1)**2
Let r be (3 - 2) + -2 + 103. Let o = 715/7 - r. Solve -4/7 - 5/7*h**2 - o*h**3 - 8/7*h = 0 for h.
-2, -1
Let d(u) be the third derivative of 0*u - 1/2*u**3 - 1/10*u**5 + 0 - 7*u**2 + 9/16*u**4. Let d(y) = 0. What is y?
1/4, 2
Factor 4/7 + 8/7*m**2 + 10/7*m + 2/7*m**3.
2*(m + 1)**2*(m + 2)/7
Let h(u) be the second derivative of 0 - 1/8*u**2 - u - 1/48*u**4 - 1/12*u**3. Factor h(w).
-(w + 1)**2/4
Find z, given that 50*z + 8*z**2 + 4*z**2 - 46*z = 0.
-1/3, 0
Let y = -143/3 - -49. Determine o, given that 1/3*o + 2/3*o**3 - 4/3*o**4 - o**5 + 0 + y*o**2 = 0.
-1, -1/3, 0, 1
Let o(s) be the third derivative of s**8/56 + 8*s**7/105 + s**6/45 - 11*s**5/45 - 13*s**4/36 - 2*s**3/9 + 9*s**2. Let o(r) = 0. Calculate r.
-2, -1, -1/3, 1
Suppose 0 = 4*w - 3 - 5. Find s, given that -27*s + 27*s**w - 3 + 6*s - 4 + 1 = 0.
-2/9, 1
Let i be (2 + -1)/((-3)/(-9)). Solve -2*o**5 - o**i - 3*o**3 + 2*o + o + 3*o - 4*o**2 - 2 + 6*o**4 = 0.
-1, 1
Let o = 1/434 - -431/1302. Factor 1/3*f**2 - o*f + 0.
f*(f - 1)/3
Let s(l) = -l**3 + 5*l**2 - 2*l - 5. Let v be s(4). Solve -5*c**3 - 2*c**2 - c**2 + c**3 - 1 + v*c + 5*c**3 = 0 for c.
1
Find a such that -10/7*a - 12/7 + 4/7*a**2 + 2/7*a**3 = 0.
-3, -1, 2
Let n(i) be the third derivative of 7/20*i**5 + 5*i**2 + 0 + 0*i + 49/120*i**6 + 2/3*i**3 - i**4. Determine a so that n(a) = 0.
-1, 2/7
Let t be 4*((-5)/(-6) + 8/(-12)). Let j(y) = -y**3 - 8*y**2 - 7*y + 3. Let l be j(-7). Factor 0 - t*s**l + 0*s - 2/3*s**2.
-2*s**2*(s + 1)/3
Let g(x) be the third derivative of 14*x**7/15 - 21*x**6/5 + 109*x**5/15 - 6*x**4 + 8*x**3/3 + 11*x**2. Factor g(i).
4*(i - 1)**2*(7*i - 2)**2
Let z(j) be the second derivative of 0 - 1/2*j**3 - 3*j - 1/12*j**4 - j**2. Determine b so that z(b) = 0.
-2, -1
Factor 22*r - r**3 - 50*r**2 + 338 + 3*r**3 + 264*r.
2*(r - 13)**2*(r + 1)
Let r be 183/(-122)*(-4)/3. Find g, given that 0 + 6/5*g**r + 2/5*g = 0.
-1/3, 0
Let o = 18 + -16. Solve -2/3 - o*y**2 + 8/3*y = 0.
1/3, 1
Let r(s) be the second derivative of s**5/60 - s**4/36 + 4*s. Factor r(h).
h**2*(h - 1)/3
Let l(b) = -6*b - 1. Let z be l(-1). Factor z*n**2 - 8*n**3 - 2*n**2 + 2*n**3 + 3*n**4.
3*n**2*(n - 1)**2
Let l(u) be the third derivative of 1/30*u**6 + 0 + 0*u - 7*u**2 + 2/3*u**3 - 1/6*u**4 - 1/15*u**5. Factor l(k).
4*(k - 1)**2*(k + 1)
Let n(z) be the first derivative of -z**5/10 - 3*z**4/8 + z**3/6 + 3*z**2/4 - 16. Let n(p) = 0. What is p?
-3, -1, 0, 1
Suppose 4 = -6*j - 2. Let l be (2 - 1)*j + 4. Factor 2/7*x**l - 2/7*x - 2/7 + 2/7*x**2.
2*(x - 1)*(x + 1)**2/7
Let u = -7 - -9. What is x in -7 - 3*x**u + 5*x**2 + 5 = 0?
-1, 1
Let y(r) be the second derivative of r**4/42 - 8*r**3/21 + 16*r**2/7 - 3*r - 9. Determine n so that y(n) = 0.
4
Let m(y) be the first derivative of 9/4*y - 1/4*y**3 + 1 + 3/4*y**2. Factor m(v).
-3*(v - 3)*(v + 1)/4
Let i(y) be the third derivative of -y**5/330 - y**4/66 - 34*y**2. Factor i(o).
-2*o*(o + 2)/11
Factor -4/13*n**2 + 2/13*n**3 - 8/13*n + 16/13.
2*(n - 2)**2*(n + 2)/13
Let r = 150 + -1648/11. Suppose -2/11*a - r*a**2 + 4/11 = 0. What is a?
-2, 1