ine n so that 4/3*n**2 - f*n**5 - 8/3*n**3 + 0 + 20/9*n**4 - 2/9*n = 0.
0, 1/3, 1
Suppose 0*p - p = 0. Suppose 3*k + 2*c + 10 = 0, -10 = k - 0*c + 2*c. Factor k*n - 1/3*n**2 + p.
-n**2/3
Let i be 3/(-6) - (-175)/10. Let u = -17 + i. Determine w so that 16/7*w - 12/7*w**3 + 10/7*w**4 + u - 2/7*w**5 - 8/7*w**2 = 0.
-1, 0, 2
Let q(p) be the first derivative of 1/6*p**5 - 1 + 0*p**2 + 0*p + 0*p**3 - 1/12*p**4. Factor q(y).
y**3*(5*y - 2)/6
Let o(p) = -p + 5. Suppose -3*x + 3*m = 2*m - 13, 4*x = 5*m + 10. Let a be o(x). Factor 0*k**3 + a*k**2 + 0 - 2/9*k**4 - 2/9*k**5 + 0*k.
-2*k**4*(k + 1)/9
Let b(g) = g**3 - g**2 + g - 1. Let m(x) = 16*x**3 - 2*x**2 + 2*x**4 + 2 + 0 - 2*x - 16*x**4. Let k be (-4)/12*3*-2. Let q(t) = k*b(t) + m(t). Factor q(z).
-2*z**2*(z - 1)*(7*z - 2)
Let c(u) = 10*u**2 - 6. Let f(z) = -z**2 + z - 1. Let o(v) = -2*v - 1. Let y be o(-1). Let j(l) = y*c(l) + 12*f(l). Factor j(a).
-2*(a - 3)**2
Let f(l) be the second derivative of -l**9/15120 - l**8/6720 - l**4/6 + l. Let b(w) be the third derivative of f(w). Suppose b(m) = 0. Calculate m.
-1, 0
Let x(k) be the first derivative of 1 + 1/15*k**5 + 0*k**2 + 0*k + 1/12*k**4 - 1/9*k**3 - 1/18*k**6. Determine c so that x(c) = 0.
-1, 0, 1
Let t(r) be the second derivative of -r**9/4032 + r**8/3360 + r**7/3360 - r**3/6 + 5*r. Let j(f) be the second derivative of t(f). Factor j(y).
-y**3*(y - 1)*(3*y + 1)/4
Let i = -29/24 + 11/8. Factor 1/2*q + i*q**3 - 1/6 - 1/2*q**2.
(q - 1)**3/6
Let n(m) be the first derivative of m**4/20 - m**3/5 + 3*m**2/10 - m/5 + 1. Factor n(a).
(a - 1)**3/5
Let s(q) be the third derivative of -q**6/120 - q**5/30 - q**4/24 - 3*q**2. Find i, given that s(i) = 0.
-1, 0
Let m be 2/8*4/10. Let u(f) be the first derivative of -m*f**2 - 3 + 2/5*f - 1/15*f**3. Factor u(v).
-(v - 1)*(v + 2)/5
Let a be (-12)/(-14)*(-175)/(-500). Let y(q) be the second derivative of 1/30*q**6 - q - a*q**5 + 0 - 2*q**3 + 2*q**2 + 13/12*q**4. Factor y(f).
(f - 2)**2*(f - 1)**2
Let j(w) be the second derivative of w**5/10 + 11*w**4/6 + 8*w**3 - 36*w**2 + 54*w. Factor j(i).
2*(i - 1)*(i + 6)**2
Let n = 69 + -343/5. Factor 2/5*x**2 + n*x - 2/5 - 2/5*x**3.
-2*(x - 1)**2*(x + 1)/5
Solve 1/5*i**3 + 0 - 1/5*i - 1/5*i**4 + 1/5*i**2 = 0 for i.
-1, 0, 1
Let t = -173/2 + 87. Suppose 0 + 3/4*u**3 - 1/4*u**4 - t*u**2 + 0*u = 0. What is u?
0, 1, 2
Suppose 3*s = 15, 3*j - 4*j + 3*s = 24. Let u be (j - 0)*(-1)/12. Factor 3/4*q**4 - u*q**3 + 1/4*q**2 + 0*q + 0 - 1/4*q**5.
-q**2*(q - 1)**3/4
Let d(r) be the second derivative of -7/2*r**3 + 5/4*r**4 + 0 + 3*r**2 + 2*r. Solve d(j) = 0 for j.
2/5, 1
Let r(m) = -8 - 5*m**2 + 0*m**2 + m**2 - 5. Let f(v) = 2*v**2 + 6. Let h(u) = 13*f(u) + 6*r(u). Suppose h(j) = 0. What is j?
0
Let u be -1 + -3 - (-100)/24. Let w(t) be the second derivative of -u*t**3 + 0 - t**2 + 1/12*t**4 + 2*t. Factor w(i).
(i - 2)*(i + 1)
Let x(k) be the first derivative of k**6/8 + 3*k**5/2 + 9*k**4/2 + 11*k**3/2 + 21*k**2/8 + 13. Factor x(v).
3*v*(v + 1)**3*(v + 7)/4
Suppose -2*l - 6 = -5*l. Suppose -l*v - 3*o = -9, 0 = -o + 3 - 2. Factor 0*x**3 + 2*x**v + x - 3*x.
2*x*(x - 1)*(x + 1)
Let 67*a**4 + a**5 - a**2 + 0*a + 2*a - 3*a**3 - 66*a**4 = 0. What is a?
-2, -1, 0, 1
Determine q so that 3*q**2 - 1/2*q**4 + 0*q - 1/2*q**3 + 0 = 0.
-3, 0, 2
Factor -23*q**2 - q**3 + 15*q + 2*q**2 + 4*q**3 + 6*q**3 - 3.
3*(q - 1)**2*(3*q - 1)
Solve 16*y**2 - 2*y + 1521 - 14*y**3 - 1521 = 0.
0, 1/7, 1
Let q = -190450/11 - -17342. Let m = q + -1494/55. Let 2*z**3 - 2/5*z + 0 - m*z**4 + 6/5*z**2 - 8/5*z**5 = 0. Calculate z.
-1, 0, 1/4, 1
Let k = 158/225 - 12/25. Let -2/9*o**2 + k - 2/9*o**3 + 2/9*o = 0. What is o?
-1, 1
Let y(k) = k**3 + k**2 + k + 1. Let o(a) = 27*a**5 - 63*a**4 + 33*a**3 + 21*a**2 - 6*a. Let m(b) = o(b) - 3*y(b). Factor m(p).
3*(p - 1)**3*(3*p + 1)**2
Let w(c) = -c**2 + 1. Let m be w(1). Let u = 9 + -6. Find i such that 1/4*i + m*i**2 + 0 - 1/4*i**u = 0.
-1, 0, 1
Suppose 53*v + 33 = 64*v. Let m**4 + 2/3*m**2 + 0*m + 0 + 5/3*m**v = 0. What is m?
-1, -2/3, 0
Factor -4/13*q**4 - 8/13*q**2 + 0 + 2/13*q + 10/13*q**3.
-2*q*(q - 1)**2*(2*q - 1)/13
Suppose -2/13 + 38/13*n**2 - 16/13*n - 20/13*n**3 = 0. Calculate n.
-1/10, 1
Let s be (-14 + 11)/(1 + -2). Factor -9*a + 3*a**2 - 18 + 9 + s*a.
3*(a - 3)*(a + 1)
Let t be ((-210)/(-1225))/((-2)/(-7)). Determine q so that 1/5*q**3 + 1/5*q**5 - 3/5*q**2 + 0 + t*q**4 - 2/5*q = 0.
-2, -1, 0, 1
Let t = 77 - 76. Let l(b) be the first derivative of -t + 0*b - 1/6*b**3 - 1/4*b**2. Factor l(d).
-d*(d + 1)/2
Let h be ((-6)/4)/(9/(-12)). Let x(r) = r**3 + 3*r**2 + 3*r. Let m(p) = p**2 + p. Let i(b) = h*x(b) - 6*m(b). Factor i(d).
2*d**3
Let w be ((-1)/2)/((-1)/(-12)). Let g be (-8)/w - (-11)/(-11). Factor v**3 + g - v - 1/3*v**2.
(v - 1)*(v + 1)*(3*v - 1)/3
Factor -4/11*h - 2/11*h**2 + 0.
-2*h*(h + 2)/11
Let m be 4/56*(5 + 1). Factor -3/7*f**2 + 0 + m*f.
-3*f*(f - 1)/7
Suppose 4 - 2 = c. Suppose -c*i + 3*a + 9 = 6, 3*i + 4*a - 13 = 0. Factor 1/2*k**2 + 1/2*k**i - 1/2*k**4 + 0 - 1/2*k.
-k*(k - 1)**2*(k + 1)/2
Let c(z) be the third derivative of z**7/350 + z**6/200 - 9*z**5/100 + 11*z**4/40 - 2*z**3/5 + 23*z**2. Determine d, given that c(d) = 0.
-4, 1
Suppose 9 + 3 = 3*x. Let u be 5/x*1/5. Factor 1/4*r**4 - u*r**5 + 0 - 1/4*r**2 + 0*r + 1/4*r**3.
-r**2*(r - 1)**2*(r + 1)/4
Let m(t) be the second derivative of -t**7/560 - t**6/240 + t**5/40 - 5*t**3/6 + t. Let i(p) be the second derivative of m(p). Factor i(a).
-3*a*(a - 1)*(a + 2)/2
Let 0*v + 1/4 - 1/4*v**2 = 0. What is v?
-1, 1
Let v(h) be the second derivative of -7*h**6/15 - 8*h**5/5 - 2*h**4/3 - 2*h. Suppose v(g) = 0. Calculate g.
-2, -2/7, 0
Let j(c) be the third derivative of -c**6/1080 + c**5/90 - c**4/24 + 17*c**2. Factor j(o).
-o*(o - 3)**2/9
Let b(q) = 2*q**2 + 13*q - 4. Let y(u) = -u + 1. Let p be y(-5). Let w(a) = -a**2 - a + 1. Let m(k) = p*w(k) + b(k). Factor m(n).
-(n - 2)*(4*n + 1)
Let c = 14 + -12. Let z be (-4)/c + 7/3. Factor 1/3*k - z + k**3 + 5/3*k**2.
(k + 1)**2*(3*k - 1)/3
Let v(g) be the second derivative of g**6/70 + 3*g**5/140 - g**4/14 + 13*g. Determine t, given that v(t) = 0.
-2, 0, 1
Suppose 5*w - 4 = 16. Suppose y**2 + 2*y**2 - 5*y**2 + y**w + 1 = 0. Calculate y.
-1, 1
Let l(c) be the first derivative of c**5/100 + c**4/30 + 3*c + 2. Let i(g) be the first derivative of l(g). Let i(v) = 0. Calculate v.
-2, 0
Let h be 6/10*((-2)/3 + 1). Let z(b) be the first derivative of h*b**2 + 0*b - 1/5*b**3 + 3 + 1/20*b**4. Solve z(p) = 0 for p.
0, 1, 2
Let t(d) be the first derivative of d**4/6 - 4*d**3/9 - d**2/3 + 4*d/3 + 20. Factor t(w).
2*(w - 2)*(w - 1)*(w + 1)/3
Factor -588*g**2 - 144 - 686/3*g**3 - 504*g.
-2*(7*g + 6)**3/3
Let c(m) be the first derivative of -m**6/120 - m**5/60 + m**2 - 2. Let y(n) be the second derivative of c(n). Factor y(q).
-q**2*(q + 1)
Let m(z) = z**3 + z**2 - z. Let v(l) be the first derivative of 3*l**4/4 + 5*l**3/3 + l**2/2 + l + 2. Let h(c) = 2*m(c) - v(c). Find y, given that h(y) = 0.
-1
Let c(q) be the first derivative of -4/3*q**3 + 4 + 4*q**2 + 12*q. What is f in c(f) = 0?
-1, 3
Let t(x) be the second derivative of -x**6/84 - 13*x**5/420 - x**4/42 - x**3/2 - 4*x. Let n(p) be the second derivative of t(p). Suppose n(b) = 0. What is b?
-2/3, -1/5
Factor 1/2*b**3 + 9/2*b + 0 + 3*b**2.
b*(b + 3)**2/2
Let q = 83/319 - -3/29. Solve q*s**2 + 0 + 2/11*s**3 + 2/11*s = 0 for s.
-1, 0
Suppose 35 = 7*x + 7. Suppose 0 = u + 4*u - 4*d - 18, -4*d = 4*u. Let 0*m + 0*m**3 + 1/3*m**x + 1/3 - 2/3*m**u = 0. What is m?
-1, 1
Let h be -8 - (2 - (19 - 7)). Find u, given that 0*u + 0 + 2/5*u**4 + 2/5*u**3 - 2/5*u**5 - 2/5*u**h = 0.
-1, 0, 1
Let m(n) be the third derivative of n**7/1120 - n**6/96 + 3*n**5/160 + 9*n**4/32 + n**3/6 - 5*n**2. Let a(f) be the first derivative of m(f). Solve a(z) = 0.
-1, 3
Suppose 2*x + 4*u = -2, 1 = 5*u + 6. Find z such that -z + 2*z**3 - x - z**2 - z**3 + 2 = 0.
-1, 1
Let t(h) be the third derivative of 0 + 1/20*h**5 - 4*h**2 - 1/2*h**3 + 0*h**4 + 0*h. Factor t(q).
3*(q - 1)*(q + 1)
Factor 2*l**2 + l**3 + 4*l**2 - 8*l**2.
l**2*(l - 2)
Let s(y) be the first derivative of y**4/18 - 4*y**3/9 + 4*y**2/3 + 3*y - 1. Let u(c) be the first derivative of s(c). Let u(o) = 0. Calculate o.
2
Let p(h) be the third derivative of -h**5/450 + h**4/180 + 2*h**3/15 + 12*h**2. L