- b, x - 3*b = -1. Factor -42 - 34*n**4 - 22*n**2 - 42*n**3 - 4*n - 10*n**x + 42.
-2*n*(n + 1)**3*(5*n + 2)
Let w(r) be the third derivative of -r**9/15120 + r**8/2520 - r**7/1260 + r**5/12 - 2*r**2. Let i(z) be the third derivative of w(z). Factor i(n).
-4*n*(n - 1)**2
Let j = -141 - -1135/8. Let w(h) be the first derivative of j*h**2 + 1 + 1/2*h - 3/4*h**3. Suppose w(m) = 0. Calculate m.
-2/9, 1
Let l be 6/33 - 62/(-22). What is q in 81*q**4 - 6*q**4 + 135*q**3 + l*q + 9*q + 72*q**2 = 0?
-1, -2/5, 0
Let t(i) be the first derivative of -i**8/10080 + i**7/2520 - i**6/2160 + i**3 + 2. Let h(k) be the third derivative of t(k). Factor h(m).
-m**2*(m - 1)**2/6
Let k(x) = -2*x + 1. Let a(h) = 3*h. Let c(f) = -4*a(f) - 5*k(f). Let z be c(-4). What is m in 0*m + 2*m**4 + 4/3*m**2 + 0 - 10/3*m**z = 0?
0, 2/3, 1
Let y(b) be the first derivative of -b**3/15 - b**2/10 + 5. Find n, given that y(n) = 0.
-1, 0
Let g(r) be the third derivative of 0*r - 1/780*r**6 + 0*r**5 + 0*r**7 + 4*r**2 + 0 + 0*r**4 + 1/2184*r**8 + 0*r**3. Factor g(f).
2*f**3*(f - 1)*(f + 1)/13
Let v(z) = -z**3 + z**2 + z + 1. Let g be v(0). Let l be 0/(g + 1 + -1). Factor -2/7*t**2 - 2/7*t**5 - 6/7*t**4 + l*t + 0 - 6/7*t**3.
-2*t**2*(t + 1)**3/7
Factor -9/2*a**3 + 6*a**2 + 0 + 3/2*a**5 + 6*a - 3*a**4.
3*a*(a - 2)**2*(a + 1)**2/2
Let v(y) = -48*y**5 + 20*y**4 + 28*y**3 + 20*y**2 - 20. Let m(a) = -7*a**5 + 3*a**4 + 4*a**3 + 3*a**2 - 3. Let u(z) = 20*m(z) - 3*v(z). Solve u(o) = 0 for o.
-1, 0, 1
Let f(k) be the first derivative of k**3/3 - 5*k**2/2 + 6. Find j such that f(j) = 0.
0, 5
Factor 0*f + 1/5*f**2 + 0.
f**2/5
Let y(j) = -j**3 + 2*j**2 + 2*j + 3. Let a be y(3). Let q = -31/2 - -16. Suppose -q + 1/2*c**2 + a*c = 0. What is c?
-1, 1
Factor -32*b**2 - 6 - 23*b**2 + 9*b + 52*b**2.
-3*(b - 2)*(b - 1)
Let a = -236/3 + 79. Let l(r) be the second derivative of -2*r - 1/21*r**7 + 0 + 0*r**5 - 1/3*r**4 + a*r**3 + 2/15*r**6 + 0*r**2. Let l(q) = 0. Calculate q.
-1, 0, 1
Suppose 6*v - 2*v = -4*u, 0 = 4*v + 12. Let o(m) be the first derivative of -4*m + 1 + 2/3*m**u - m**2. Factor o(d).
2*(d - 2)*(d + 1)
Suppose -4*i + 16 = 3*v - 7*v, -2*i = 4*v - 14. Let t(h) be the second derivative of 2*h + 7/18*h**4 + 0 + 1/6*h**i + 0*h**2 + 2/9*h**3. Solve t(f) = 0.
-1, -2/5, 0
Suppose 2*d - 361 = 3*t + 2*t, d - 3*t = 178. Let g = 584/3 - d. Let 5/3*x**5 - 10/3*x**3 - 2/3*x**4 + g*x - 2/3 + 4/3*x**2 = 0. Calculate x.
-1, 2/5, 1
Let p(a) = 2*a**2 - 12*a + 20. Let u(s) = 2*s**2 - 12*s + 21. Let o = -8 - -11. Let v(g) = o*p(g) - 2*u(g). Factor v(j).
2*(j - 3)**2
Let j(c) = c**2 - 23. Let t be j(0). Let g = -21 - t. Factor 0*d + 0*d**g - 1/2*d**5 + 0 + d**4 - 1/2*d**3.
-d**3*(d - 1)**2/2
Let d(s) = 3 + 6*s - 2 - 7*s**2 - 4 + 5 + s**3. Let q be d(6). Let -1/2*t**q + 0 + t = 0. What is t?
0, 2
Let w(m) be the second derivative of 1/20*m**6 - 3*m + 0*m**3 + 3/80*m**5 + 0 + 0*m**2 + 0*m**4 + 1/56*m**7. Factor w(k).
3*k**3*(k + 1)**2/4
Let v be (-1)/(4/2)*-2. Determine g, given that 5*g + 6*g**3 + 0*g + 2*g**4 - 5*g**3 + 9*g**2 + 6*g**3 + v = 0.
-1, -1/2
Let m(r) = 2*r**2 - 4*r + 3. Let s be m(2). Find u such that 0*u - 4/7*u**4 - 2/7*u**s + 2/7*u**2 + 0 = 0.
-1, 0, 1/2
Suppose 0 = -0*v + 4*v - 4. Solve d**2 + 14*d**3 - d + 3*d**4 + 0*d**2 - 9*d**5 - 3*d**2 - v - 4*d = 0.
-1, -1/3, 1
Determine z, given that -13*z**2 + 4*z**2 - 4*z**2 + 30*z - 12*z**2 - 5 = 0.
1/5, 1
Suppose 0 = -5*r - 0*r + 10. Factor -3*j + j + j**r - 5 + 8*j + 14.
(j + 3)**2
Let s(a) = 0*a**2 + 8*a - a + a**2 - 8. Let v be s(-8). Factor 0*g + 0 + 1/2*g**4 - 1/2*g**3 + v*g**2.
g**3*(g - 1)/2
Let o be -2 - (-7)/2 - 39/26. Let a(x) be the first derivative of o*x + 6*x**3 - 4 - 21/8*x**4 + 3*x**2. What is b in a(b) = 0?
-2/7, 0, 2
Let y(v) be the third derivative of v**8/168 - v**6/60 + 15*v**2. Solve y(k) = 0 for k.
-1, 0, 1
Let g(u) be the second derivative of 7/6*u**4 + 0 + 5/3*u**3 - 2*u**2 + 2*u. Suppose g(p) = 0. Calculate p.
-1, 2/7
Let s(u) be the first derivative of -1 - 1/5*u**2 - 3/20*u**4 + 0*u - 1/3*u**3. Solve s(i) = 0.
-1, -2/3, 0
Factor -26/5*t - 4/5 - 22/5*t**2.
-2*(t + 1)*(11*t + 2)/5
Let g(y) be the third derivative of -1/12*y**3 + 2*y**2 + 0 + 1/120*y**5 + 0*y + 0*y**4. Let g(c) = 0. Calculate c.
-1, 1
Let a = 525 + -525. Let -4/7*c**2 + 2/7*c**4 + 2/7*c**3 + a*c + 0 = 0. What is c?
-2, 0, 1
Let c = 620 + -9278/15. Let u = 316/195 - c. Suppose -4/13*k**2 + 4/13 - 2/13*k + u*k**3 = 0. What is k?
-1, 1, 2
Let i be 30/35*(2 + (-3)/(-2)). Factor 0*f - 1/2*f**i + 0 - 1/2*f**2.
-f**2*(f + 1)/2
Let m(j) be the first derivative of 22*j**3/3 + 2*j**2 + 21. Factor m(y).
2*y*(11*y + 2)
Factor 2/3*f - 1/3*f**4 + 5/3*f**2 - 1/3*f**5 + f**3 + 0.
-f*(f - 2)*(f + 1)**3/3
Let m be (-2)/8 - (-45)/4. Let i be (-4)/6 - m/(-3). Find r such that -r**4 - r**4 + i*r**3 - 5*r**3 = 0.
-1, 0
Let u(t) be the second derivative of 3*t**5/70 + 2*t**4/21 - 4*t**3/21 + 5*t. Solve u(p) = 0.
-2, 0, 2/3
Let -6/7*f**3 - 58/7*f**2 - 130/7*f + 50/7 = 0. Calculate f.
-5, 1/3
Let d = 85/2 - 41. Factor 0 + d*t**2 + 1/2*t**3 + t.
t*(t + 1)*(t + 2)/2
Let b(p) = -2*p**4 + 2*p**3 - 2*p + 2. Let o(c) = -c + 1. Let i(v) = 2*b(v) - 4*o(v). Factor i(h).
-4*h**3*(h - 1)
Let s be ((-55)/(-22))/((-6)/(-4)). Determine y, given that 1/3*y**3 - 4/3 - s*y**2 + 8/3*y = 0.
1, 2
Factor 12*s**2 - s + 0*s - 15*s**3 + 4*s.
-3*s*(s - 1)*(5*s + 1)
Let o(a) be the third derivative of -a**7/105 + a**6/12 - 4*a**5/15 + a**4/3 - 3*a**2. Factor o(f).
-2*f*(f - 2)**2*(f - 1)
Let t(p) be the first derivative of -p**4/20 + 2*p**3/15 + p**2/10 - 2*p/5 - 5. Factor t(j).
-(j - 2)*(j - 1)*(j + 1)/5
Let p be (8/16)/((-1)/(-10)). Let f be 17/p + (-20)/50. Factor -3*k**2 + 2*k**2 - f*k + 0*k + k.
-k*(k + 2)
Suppose -2*w - 4 = -34. Let l = 79/5 - w. Factor 6/5*x**2 + l + 2*x.
2*(x + 1)*(3*x + 2)/5
Let o(u) be the second derivative of -u**7/840 - u**6/120 - u**5/60 - u**3 - 6*u. Let g(n) be the second derivative of o(n). Factor g(v).
-v*(v + 1)*(v + 2)
Factor 5*h**4 - h**4 + 4*h**2 - 2 - 6*h**4.
-2*(h - 1)**2*(h + 1)**2
Let w(d) = -d**3 - 14*d**2 + 15*d + 2. Let y be w(-15). Let t(h) = -2*h**3 + h**2 - h - 1. Let m be t(-1). Factor y*u**m + 13*u**2 - 13*u**2.
2*u**3
Suppose 0*q**3 + 0*q**2 + 4/5*q**5 + 0 - 2/5*q**4 + 0*q = 0. Calculate q.
0, 1/2
Let h(f) be the third derivative of 4*f**7/105 + 7*f**6/60 - f**5/15 - 16*f**2. Factor h(d).
2*d**2*(d + 2)*(4*d - 1)
Suppose -4*d + 29 = 9. Let 13*i + 4*i**5 + 6*i**4 - 16*i - i**5 - i**2 - d*i**2 = 0. What is i?
-1, 0, 1
Let n(w) be the first derivative of 1/18*w**3 + 5 + 0*w + 0*w**2. Let n(v) = 0. Calculate v.
0
Let d(z) be the second derivative of -2/3*z**3 + 1/15*z**6 + 0 + z + 1/5*z**5 + 0*z**4 - z**2. Determine f so that d(f) = 0.
-1, 1
Let l(w) be the second derivative of -7/150*w**6 - 1/20*w**5 + 0*w**3 + 9*w - 1/70*w**7 + 0*w**2 - 1/60*w**4 + 0. Factor l(f).
-f**2*(f + 1)**2*(3*f + 1)/5
Suppose -4*u = -2*x - 14, 26 = 2*x + 5*u - u. Suppose -6 = -d - 2*d. Determine t, given that 0 + 2/3*t**x - 2/9*t**4 - 2/3*t**d + 2/9*t = 0.
0, 1
Let p(l) be the first derivative of -l**3/12 + l**2/4 - 2. Let p(a) = 0. What is a?
0, 2
Let w(t) be the third derivative of -t**6/180 - t**5/20 - t**4/6 - t**3/3 + 3*t**2. Let b(p) be the first derivative of w(p). Factor b(v).
-2*(v + 1)*(v + 2)
Let r(t) be the second derivative of -t**8/6720 + t**7/1890 + t**6/2160 - t**5/180 - t**4/12 - 4*t. Let u(v) be the third derivative of r(v). Factor u(h).
-(h - 1)**2*(3*h + 2)/3
Suppose -11*w + 24 = w. Let r(v) be the second derivative of 1/12*v**4 - w*v + 1/30*v**6 + 0*v**3 + 0*v**2 + 0 + 1/10*v**5. Factor r(u).
u**2*(u + 1)**2
Factor -13/3*i**2 - 4/3 + 4*i - 1/3*i**4 + 2*i**3.
-(i - 2)**2*(i - 1)**2/3
Let n(i) be the first derivative of i**2/2 - 2*i - 4. Let g be n(3). Factor -1/4*c**4 - c**3 - 3/4*c**2 + c + g.
-(c - 1)*(c + 1)*(c + 2)**2/4
Suppose 3*l - 15 = 3*g, -2*l + g + 3*g + 16 = 0. Factor -12 - r - 59*r - 10*r**3 - 69*r**l - 17*r**3 + 6*r**3.
-3*(r + 1)*(r + 2)*(7*r + 2)
Let k(a) be the second derivative of a**4/16 + 5*a**3/4 - 33*a**2/8 - 15*a. Solve k(g) = 0.
-11, 1
Let w be 3 - (48/9)/2. Factor 0 + 2/3*z - w*z**2.
-z*(z - 2)/3
Factor 90*a + 5*a**2 + 17 + a**2 + 388 - a**2.
5*(a + 9)**2
Let y(x) = -7*x**2 - 6*x + 6. Let p(j) = -j**2 + 1. Let q(r) = -30*p(r) + 5*y(r). Let q(g)