f -4*n**3/3 - 2*n**2 + 6. Factor q(u).
-4*u*(u + 1)
Let i(c) be the first derivative of 2/7*c**2 + 0*c**3 + 2/7*c - 3 - 1/7*c**4 - 2/35*c**5. Factor i(b).
-2*(b - 1)*(b + 1)**3/7
Suppose -v = -0*v - 2. Determine r, given that -1 - 2*r**4 + 3*r**4 + 2*r**2 - v*r**4 = 0.
-1, 1
Let v(o) = 3*o + 5. Let q be v(-4). Let g = q - -12. Let 6*h + 6*h**4 - 7*h + 3*h**g - 2*h - 6*h**2 = 0. Calculate h.
-1, 0, 1
Suppose -2*r - f + 5 = 0, 0 = -f + 1 - 0. Determine y, given that -5*y + 5*y**3 - 4*y**4 - 2*y**2 + 6*y**r + 1 - y**2 = 0.
-1, 1/4, 1
Let b = 9340/9 + -2261081/2178. Let p = -1/242 - b. Factor 0 + p*k**2 - 2/11*k + 6/11*k**3.
2*k*(k + 1)*(3*k - 1)/11
Let n(m) be the third derivative of -4/735*m**7 - 2/21*m**3 + 1/392*m**8 + 2*m**2 + 1/84*m**4 - 1/105*m**6 + 1/35*m**5 + 0*m + 0. Determine c so that n(c) = 0.
-1, -2/3, 1
Let -14/3*n**4 + 0 - 8/3*n + 8*n**2 + 6*n**3 = 0. What is n?
-1, 0, 2/7, 2
Let y(k) be the third derivative of -k**6/100 - 7*k**5/150 - k**4/12 - k**3/15 - 8*k**2. Factor y(m).
-2*(m + 1)**2*(3*m + 1)/5
Let k(r) be the second derivative of r**5/40 - r**4/3 + 4*r**3/3 - 24*r. Factor k(a).
a*(a - 4)**2/2
Factor -1/3*f**2 - 4/3 + 5/3*f.
-(f - 4)*(f - 1)/3
Let d(p) be the third derivative of -p**7/630 + p**6/120 - p**5/180 - p**4/24 + p**3/9 - 20*p**2. Factor d(l).
-(l - 2)*(l - 1)**2*(l + 1)/3
Suppose -5 - 5 = -5*s. Factor 2/3*d**4 + 0 + 2/3*d - 2/3*d**s - 2/3*d**3.
2*d*(d - 1)**2*(d + 1)/3
What is b in 60/7*b - 300/7 - 3/7*b**2 = 0?
10
Suppose -1 + 5 = 2*j. Let y(t) be the first derivative of 4/3*t**3 + 0*t + 1/2*t**4 + 1 + t**j. Factor y(i).
2*i*(i + 1)**2
Let k(a) = -a**5 - 12*a**4 + 6*a**3 + 12*a**2 - 5*a. Let q(o) = 6*o**4 - 3*o**3 - 6*o**2 + 3*o. Let x(r) = -3*k(r) - 5*q(r). Factor x(p).
3*p**2*(p - 1)*(p + 1)*(p + 2)
Let g(v) be the first derivative of v**4/6 + 2*v**3/9 - v**2/3 - 2*v/3 - 6. Let g(j) = 0. Calculate j.
-1, 1
Let n = -7 + 37/5. Let 0 + n*j + 6/5*j**2 + 6/5*j**3 + 2/5*j**4 = 0. What is j?
-1, 0
Suppose 96 = -0*m + 3*m. Let b be m/40*(-5)/(-2). Factor -1/4*g**b + g - 1.
-(g - 2)**2/4
Let c(r) = -9*r**3 - 12*r**2 + 12*r + 18. Let g = -11 + 5. Let n(y) = y**3 + y**2 + 1. Let p(s) = g*n(s) - c(s). Suppose p(o) = 0. What is o?
-2, 2
Let l(f) = -f**2 - 9*f + 4. Let t be l(-9). Let c(o) = -o + 5. Let z be c(0). Determine a, given that 0*a**3 + 0*a**2 + 0 + 0*a + 2/3*a**t - 2/3*a**z = 0.
0, 1
Suppose -9 - 6 = -5*v. Suppose -v*k**2 - 13*k + 3 + 3 + 10*k = 0. What is k?
-2, 1
Let k(q) be the third derivative of -1/15*q**5 + q**2 - 1/60*q**6 + 2/3*q**3 + 0 + 0*q + 1/12*q**4. Find o such that k(o) = 0.
-2, -1, 1
Factor 64/5 - 336/5*c - 343/5*c**3 + 588/5*c**2.
-(7*c - 4)**3/5
Let d(u) = 10*u**4 + 5*u**3 - 5. Let w(q) = -q**5 - 10*q**4 - 5*q**3 + 4. Let r(p) = 4*d(p) + 5*w(p). Let r(y) = 0. Calculate y.
-1, 0
Let u(k) = k**2 - 1. Let v(w) = -w - 1. Let t(d) = -u(d) + v(d). Let t(p) = 0. Calculate p.
-1, 0
Suppose -w + 10 = 2*l, -w - 4*w + 8 = -4*l. What is y in -5*y**3 + 8*y**2 + w*y**3 + 2*y - 3*y**2 + 4*y**3 = 0?
-1, -2/3, 0
Let c be -3 + 1 - (-48)/21. Factor -6/7*g**2 + c*g**3 - 2/7 + 6/7*g.
2*(g - 1)**3/7
Let p(a) = 2*a**3 - 3*a**2 - 2*a - 3. Let y(x) = -x**3 + 1. Let t(w) = -2*p(w) - 6*y(w). Factor t(u).
2*u*(u + 1)*(u + 2)
Suppose 5*q + 27 = 3*r, -2*r - 3*q = 3*r - 79. Suppose 0 = -0*u - 2*u - 4*b, 4*b + r = 5*u. Factor -3 - a**3 + u*a**2 + 4 + a - 3*a**2.
-(a - 1)*(a + 1)**2
Let w = 1/16 + 7/16. Determine z so that w*z**3 + 0 - 1/2*z - 1/2*z**4 + 1/2*z**2 = 0.
-1, 0, 1
Let k(j) = -j**2 + 3*j. Let b(c) = 3*c**2 - 6*c + 1. Let o(r) = -2*b(r) - 5*k(r). Find n, given that o(n) = 0.
-2, -1
Let d(b) = 3*b**2 - 4*b + 3. Let r(p) = 4*p**2 - 5*p + 4. Let a(q) = -3*d(q) + 2*r(q). What is c in a(c) = 0?
1
Suppose -2*m + 10 = 0, 0*x + 4*m + 34 = 2*x. Let u = 137/5 - x. Suppose 0*w - u*w**2 + 0 = 0. What is w?
0
Let q(y) be the third derivative of -1/240*y**5 + y**2 + 1/24*y**3 + 0*y**4 + 0*y + 0. Solve q(a) = 0.
-1, 1
Let i(f) = 2*f**2 - f - 1. Let c be i(-1). Let h be 12/15*5/1. Factor 6*d**2 + 0*d**h + c*d**2 + 2*d**4 - 8*d**3.
2*d**2*(d - 2)**2
Let f(m) be the third derivative of 13/10*m**5 + 0*m**3 + 5*m**2 + 1/35*m**7 + 1/3*m**6 + 0*m + 3/2*m**4 + 0. Factor f(h).
2*h*(h + 3)**2*(3*h + 2)
Let l(w) = 2*w**3 + 6*w**2 + 24*w + 10. Let r(q) = -4*q**3 - 11*q**2 - 48*q - 19. Let n(h) = -13*l(h) - 6*r(h). Let n(s) = 0. Calculate s.
-2
Let a(s) be the third derivative of 4*s**2 + 1/6*s**3 + 0*s + 0 + 1/12*s**4 + 1/60*s**5. Find r such that a(r) = 0.
-1
Let h(w) be the second derivative of -w**4/54 + w**2/9 - 10*w. Suppose h(o) = 0. Calculate o.
-1, 1
Let h(b) = 3*b**3 - 7*b**2 - 3*b + 3. Let w(f) = -2*f**3 + 7*f**2 + 4*f - 3. Let j(c) = 3*h(c) + 2*w(c). Find a, given that j(a) = 0.
-3/5, 1
Let t(o) be the first derivative of -2/5*o**5 - 1 + 0*o**4 + 0*o**2 + 2/3*o**3 + 0*o. Factor t(b).
-2*b**2*(b - 1)*(b + 1)
Suppose 40*g**2 - 10*g**4 + 2*g**5 - 19*g**3 + 39*g**3 - 7*g**5 = 0. Calculate g.
-2, 0, 2
Let p(h) be the first derivative of h**3/9 - h**2/6 - 6. Suppose p(a) = 0. Calculate a.
0, 1
Let s(u) = -4*u**2. Let y be s(-1). Let k be (6/4)/((-3)/y). Solve k + 5*i**2 + 2 - 3*i**2 - 6*i = 0 for i.
1, 2
Let y(b) = b**3 - 5*b**2 - b + 5. Let m be y(5). Let j be -1 - 20/(-12) - m. Suppose 0 - 2/3*x**2 - 2*x**3 - 2*x**4 - j*x**5 + 0*x = 0. Calculate x.
-1, 0
Suppose -6 = -0*l - 3*l. Let v be 1 - (-1 - 0/2). Factor -1 - s**2 + 0*s**2 + v*s**l.
(s - 1)*(s + 1)
Let i(z) = z**2 - 4*z - 3. Let v(q) = -1 + 7 + 2*q - 3*q - 2*q**2 + 10*q. Let j(k) = 13*i(k) + 6*v(k). Let j(f) = 0. Calculate f.
-3, 1
Let y = -7 + 15. Suppose 4*o + y = 8*o. Suppose 2/13*q**3 + 0*q**o + 0 - 2/13*q = 0. Calculate q.
-1, 0, 1
Let z = 11 + -8. Let -a**3 - a**z + a**4 + 3*a**3 = 0. Calculate a.
-1, 0
Let v(r) be the first derivative of 2*r**4 - 4*r**3/3 + 2*r**2 + 4*r + 9. Let y(u) = 7*u**3 - 5*u**2 + 4*u + 3. Let q(c) = -3*v(c) + 4*y(c). Factor q(t).
4*t*(t - 1)**2
Let h(c) be the third derivative of 2*c**7/105 + c**6/30 - c**2. Factor h(z).
4*z**3*(z + 1)
Let w be 9/12 + (-26)/(-8). Factor -3*l**5 + l**4 + 2*l**5 - 4*l**w - 2*l**5.
-3*l**4*(l + 1)
Let h(d) = -3*d**4 + 8*d**3 - 10*d**2 + 4*d + 7. Let l(b) = -8*b**4 + 23*b**3 - 29*b**2 + 11*b + 20. Let w(n) = -17*h(n) + 6*l(n). Solve w(a) = 0.
-1, 1/3, 1
Let z be 3/(2*(-3)/(-12)). Let j be ((-4)/z)/((-8)/60). Factor 6 + 4*n**2 - j*n - n**3 - 1 + 0 - 3.
-(n - 2)*(n - 1)**2
Let o(q) be the second derivative of q**4/54 - 4*q**3/27 + q. What is d in o(d) = 0?
0, 4
Let x be (1 - -3) + 238/(-60). Let o(v) be the third derivative of x*v**5 + 0 + 1/60*v**6 - 3*v**2 - 1/3*v**3 + 0*v - 1/12*v**4. Factor o(y).
2*(y - 1)*(y + 1)**2
Let j(l) = -l**4 + l - l**4 - 1 + 3*l**4 - l**3. Let z(k) = 4*k**4 - 4*k**3 - 2*k**2 + 4*k - 2. Let a(i) = -2*j(i) + z(i). Factor a(w).
2*w*(w - 1)**2*(w + 1)
Let c(b) = 5*b**3 - 32*b**2 - 51*b - 14. Let n(p) = -p**2 - p. Let o(x) = -5*c(x) + 20*n(x). Suppose o(l) = 0. Calculate l.
-1, -2/5, 7
Let u(t) be the second derivative of t**7/7 + 7*t**6/30 - 3*t**5/4 - 5*t**4/12 + 3*t**3/2 - t**2 - 3*t. Let u(w) = 0. Calculate w.
-2, -1, 1/3, 1/2, 1
Let p = 1 - -2. Suppose 31 = 4*y + p*i - 0*i, i - 1 = y. Factor t**4 - 8*t**2 - 4*t**3 + 2 + 2*t**4 + 4*t**5 + 3*t**y.
2*(t - 1)*(t + 1)**3*(2*t - 1)
Factor 14 - 3 - 21*p**4 + 6*p**4 + 9*p**5 - 75*p**3 - 45*p**2 + 13 + 30*p.
3*(p - 4)*(p + 1)**3*(3*p - 2)
Suppose -23*n + 36 = -5*n. Find b such that -4/7*b**n + 4/7 + 0*b = 0.
-1, 1
Let q(s) be the first derivative of 1/20*s**5 + 0*s + 1/4*s**4 + 3 + 5/12*s**3 + 1/4*s**2. Suppose q(m) = 0. What is m?
-2, -1, 0
Let f(r) be the second derivative of -r**5/20 - r**4/6 - r**3/6 - 34*r. Factor f(w).
-w*(w + 1)**2
Let t(i) = -i**3 + 13*i**2 - 35*i - 6. Let v be t(9). Suppose 2/3 + 2/3*x**v + 2*x**2 + 2*x = 0. What is x?
-1
Let a(i) = -3*i**2 - i + 7. Let b(h) = -2*h**2 + 4. Let u = -7 + 11. Let n(s) = u*a(s) - 7*b(s). Suppose n(d) = 0. What is d?
0, 2
Factor -48*l**2 - 84*l - 122*l**3 - 260*l**2 - 44*l - 16 - 74*l**3.
-4*(l + 1)*(7*l + 2)**2
Let x be (12/56)/(6/8). Let c = 0 + 4/7. Factor -2/7*l**4 - x + 0*l**3 + 0*l + c*l**2.
-2*(l - 1)**2*(l + 1)**2/7
Let h(v) be the first derivative of v**4/14 + 2*v**3/21 - 2*v**2/7 - 3. Factor h(n).
2*n*(n - 1)*(n + 2)/7
Let x(n) be the first derivative of -n**3/3 - 3*n**2 - 4*n + 1. Let