 - 1 + 5 = 0. Suppose -5*w = -2*k - 6, k - 3 = 3*w + 2*k. Solve -3*q**4 + w*q**2 - q**5 + q + l*q**4 + 2*q**2 - q**4 = 0 for q.
-1, 0, 1
Let b be 2/(-5 + 0 + 3). Let h be (-14 - -5)*b/3. Factor -2*w + w**2 + 3*w**2 - h*w**2 + 0*w**2 + 1.
(w - 1)**2
Suppose -8/7*l**2 + 8/7*l**3 - 4/7*l**5 - 4/7*l + 4/7 + 4/7*l**4 = 0. What is l?
-1, 1
Let x(b) = b**2 + 10*b + 12. Let r be x(-9). Let a = 2 - -3. Suppose -2 - 2*o**2 + o**3 + a*o**2 + 3*o + r = 0. What is o?
-1
Let y(m) be the third derivative of -m**8/11760 + m**7/4410 + m**6/1260 - m**5/210 + m**4/12 - 2*m**2. Let n(x) be the second derivative of y(x). Factor n(r).
-4*(r - 1)**2*(r + 1)/7
Let i(f) be the second derivative of -2*f**4/9 + f**3/3 + f**2/3 + 9*f. Factor i(m).
-2*(m - 1)*(4*m + 1)/3
Suppose -f + 6*f = 0. Suppose 5*d - 6 = 2*d. What is n in 1/3*n**3 + 0*n**d - 1/3*n + f = 0?
-1, 0, 1
Suppose -50*g + 68 + 132 = 0. What is h in 0*h + 1/4*h**g + 0 + 0*h**3 - 1/4*h**2 = 0?
-1, 0, 1
Let m be (-3 + 0)*2/(-3). Determine i so that 2*i**m - 4 + 2*i - 6*i + 6*i = 0.
-2, 1
Let m(v) be the third derivative of v**5/300 - v**4/120 + 37*v**2. Solve m(o) = 0.
0, 1
Let m be 1 - (-110)/25 - 5. Factor 0 + 0*r - m*r**4 + 0*r**3 + 2/5*r**2.
-2*r**2*(r - 1)*(r + 1)/5
Let h be (88/(-80))/((-2)/(11 + 1)). Determine w so that -1/5 - 46/5*w**3 - 6*w**2 - h*w**4 - 9/5*w**5 - 9/5*w = 0.
-1, -1/3
Let p(k) = k**2 - k + 1. Suppose -8*w + 4*w + 12 = 0. Let g(a) = 6*a - 9. Let t(c) = w*p(c) + g(c). Factor t(r).
3*(r - 1)*(r + 2)
Let x = 30 + -14. Suppose -2*t + x = 6*t. Determine n so that -5*n**t + 1/2 + 0*n**3 + 0*n + 9/2*n**4 = 0.
-1, -1/3, 1/3, 1
Let o(d) = -17*d**3 + 31*d**2 + 40*d - 8. Let k(l) = -84*l**3 + 156*l**2 + 201*l - 39. Let c(g) = -4*k(g) + 21*o(g). Determine f, given that c(f) = 0.
-1, 2/7, 2
Let o(q) = 5*q**2 - 1. Let p be o(1). Suppose -5*c + 3 = -p*c. Solve 6/7*j + 2/7*j**c - 2/7 - 6/7*j**2 = 0 for j.
1
Factor 3*c**4 - 3*c**3 + 3*c**2 - 3*c**3 + 0*c**4.
3*c**2*(c - 1)**2
Let r(u) be the third derivative of -1/20*u**5 + u**2 + 0*u**3 + 0*u + 1/40*u**6 + 0*u**4 + 0. Find k such that r(k) = 0.
0, 1
Factor 2*f**2 - 57*f**4 + 31*f**4 + 24*f**4 - f**5 + f**3.
-f**2*(f - 1)*(f + 1)*(f + 2)
Let l(s) be the second derivative of -35*s**6/2 + 87*s**5/2 - 123*s**4/4 + 2*s**3 + 6*s**2 - s. Suppose l(t) = 0. What is t?
-1/7, 2/5, 1
Let s(p) = 6*p + 3*p**3 - 14*p**4 + 2 + 15*p**4 - 6*p**2 + 0*p**2. Let z(t) = 3*t**4 + 5*t**3 - 11*t**2 + 13*t + 5. Let a(c) = -5*s(c) + 2*z(c). Factor a(d).
d*(d - 2)**2*(d - 1)
Let f(w) be the third derivative of -w**6/160 + w**4/32 + 21*w**2. Suppose f(j) = 0. Calculate j.
-1, 0, 1
Let j = -31 - -34. Let w(y) be the third derivative of 1/120*y**5 - 1/12*y**j + 0 + 0*y - 4*y**2 + 0*y**4. Factor w(u).
(u - 1)*(u + 1)/2
Factor 2*z**2 + 1 - 4 - 2 + 3*z**2.
5*(z - 1)*(z + 1)
Let f = -2137/11 + 195. Find h, given that -8/11*h + 2/11*h**2 + f = 0.
2
Let l(t) = 2*t**2 - 11*t - 28. Let s be l(-2). Determine a, given that -39/4*a**3 - 9*a**4 - 3*a**5 - 9/2*a**s + 0 - 3/4*a = 0.
-1, -1/2, 0
Let a = 17/6 - 4/3. Let 3/2*s**2 - a*s**3 + 0 + 1/2*s**4 - 1/2*s = 0. What is s?
0, 1
Suppose 0 = 3*m - 2*v - 3*v - 20, 8 = m - 2*v. What is b in 0*b + 0*b**2 + 4/5*b**3 - 2/5*b**5 + m - 2/5*b**4 = 0?
-2, 0, 1
Let k(z) be the first derivative of 0*z**3 + 7/60*z**6 + 3/2*z**2 - 1/6*z**4 + 0*z + 1/6*z**5 - 1. Let g(q) be the second derivative of k(q). Factor g(r).
2*r*(r + 1)*(7*r - 2)
Let g = -6 + 8. Let j = g + -2. Find b such that j + b**2 + b + 1 + b = 0.
-1
Suppose 5*f - h + 4 = 22, -3*f = 2*h - 16. Factor 7*u - 4*u**3 + 0*u - 14*u**f + 14*u**2 - 3*u.
-2*u*(u - 1)*(u + 1)*(7*u + 2)
Let w(l) be the first derivative of -l**5/80 + l**4/16 - l**2/2 + 3*l - 6. Let t(a) be the first derivative of w(a). Let t(y) = 0. Calculate y.
-1, 2
Factor 2/3*p**2 - 2/3 + 2/3*p**3 - 2/3*p.
2*(p - 1)*(p + 1)**2/3
Factor 0 - 32/5*a + 16/5*a**2 - 2/5*a**3.
-2*a*(a - 4)**2/5
Determine s so that s**2 - s**3 - 25*s**4 + 55*s**4 - 29*s**4 - s**3 = 0.
0, 1
Factor o + 2 + 6*o**3 + 0 - 7*o**3 + o**2 - 3.
-(o - 1)**2*(o + 1)
Suppose -b = 3*b - 3*c + 1725, 3*b = -3*c - 1320. Let v = b + 2187/5. Factor -1/5*u**3 - v*u - 6/5*u**2 - 8/5.
-(u + 2)**3/5
Let o = -56/3 - -227/12. Solve 0*c + 1/4*c**4 + 1/2*c**3 + o*c**2 + 0 = 0 for c.
-1, 0
Let f(d) be the first derivative of -25*d**6/6 - 2*d**5 + 25*d**4/4 + 10*d**3/3 + 17. Find z, given that f(z) = 0.
-1, -2/5, 0, 1
Factor 0 + 2/19*u**3 + 0*u - 8/19*u**2.
2*u**2*(u - 4)/19
Let b(m) = m**2 + m - 1. Let y(h) = -2*h. Let w(s) = -4*b(s) - 3*y(s). Let f(c) = -5*c**2 + 3*c + 5. Let d(i) = -2*f(i) + 3*w(i). Solve d(a) = 0.
-1, 1
Factor 0 - 1/4*k**4 + 0*k**2 + 1/2*k**3 + 0*k.
-k**3*(k - 2)/4
Let f = -25 + 30. Factor f*a**4 - 18*a**2 + 3*a - 3*a**3 - 2*a**4 + 15*a**2.
3*a*(a - 1)**2*(a + 1)
Let g(p) = -2*p - 5. Let i be g(-7). Let h = 12 - i. Find s, given that -6/5*s**2 - 4/5*s**h - 2/5*s + 0 = 0.
-1, -1/2, 0
Let b(h) = -3*h**2 + 3. Let t(i) = 2*i**2 - 2. Let v(a) = 5*b(a) + 7*t(a). Factor v(g).
-(g - 1)*(g + 1)
Let c be 13/(-3) - 60/(-20 - -8). Factor 0 + c*a**3 - 2/3*a**2 + 2/3*a**4 - 2/3*a.
2*a*(a - 1)*(a + 1)**2/3
Let l = 3 - 1. Determine a, given that 0 + 2*a**l + a**2 - 3 + 0 = 0.
-1, 1
Let l(z) = -z**2 - 6*z - 3. Let u(b) = -b**2 - 6*b - 4. Let g(n) = 4*l(n) - 3*u(n). Find y, given that g(y) = 0.
-6, 0
Let r(b) = -b**2 + 3*b + 2. Let m be r(3). Let n be m/(-8) - 923/(-364). Factor -32/7*t**2 - n*t - 2/7.
-2*(4*t + 1)**2/7
Let m = 14 + -7. Let s = -4 + m. Let 0 + 1/2*b**2 + b**4 + 0*b - 3/2*b**s = 0. Calculate b.
0, 1/2, 1
Let l(d) be the first derivative of 3 - 1/18*d**6 - 5/6*d**4 + 1/3*d**5 + 1/3*d + 10/9*d**3 - 5/6*d**2. Solve l(t) = 0 for t.
1
Suppose -2*v = 2*v - 48. Let u = -10 + v. Find c such that 1/4*c - c**4 + 1/4*c**5 + 0 + 3/2*c**3 - c**u = 0.
0, 1
Let y(x) be the third derivative of x**2 - 1/120*x**4 + 1/150*x**6 + 0 + 0*x**3 + 0*x - 1/100*x**5. Factor y(z).
z*(z - 1)*(4*z + 1)/5
Let t(q) be the second derivative of -q**8/3360 + q**6/360 - q**4/4 - 4*q. Let m(h) be the third derivative of t(h). Determine w so that m(w) = 0.
-1, 0, 1
Let v(k) = k**2 - 8*k + 10. Let c be v(7). Let p = 14 + -12. Suppose -5*m**2 - 2*m**4 + 5*m**3 - m**c + 2*m**2 + m**p = 0. Calculate m.
0, 1
Let z be ((-9)/(-15) - 1)/((-63)/15). Let u(k) be the third derivative of 0 + 0*k - 1/42*k**5 + 1/420*k**6 + 2*k**2 + z*k**4 - 4/21*k**3. Factor u(j).
2*(j - 2)**2*(j - 1)/7
Let u(h) = h**3 - 3*h**2 - h - 3. Let l(w) = 2*w**2 + 2. Suppose 0 = -5*g - 10 - 0. Let j(s) = g*u(s) - 3*l(s). Determine d so that j(d) = 0.
-1, 0, 1
Let v(d) = 47*d**4 - 64*d**3 + 22*d**2 + 2*d - 3. Let n(b) = b**4 + b**3 + b**2 - 1. Let p(y) = 2*n(y) - v(y). Find o, given that p(o) = 0.
-1/5, 1/3, 1
Suppose -t = -2*c - 8, -3*t + 0*c = -3*c - 15. Let z(f) = f**2 + 10*f - 9. Let r be z(-11). Find y such that 1 + t*y + 2 - 3 - 5*y**r = 0.
0, 2/5
Suppose -30 = -9*u + 4*u. Let c be (-2)/8*u*-2. Suppose 4*m**3 + 0*m**c + m**3 - 2*m**3 = 0. What is m?
0
Factor -3*v**2 + 3*v**4 + 7*v**3 + 2*v**4 + 76 - 7*v - 78.
(v - 1)*(v + 1)**2*(5*v + 2)
Determine b, given that 0 + 4/3*b**2 - 1/3*b = 0.
0, 1/4
Solve -8*g**3 + 8 - 8*g**4 - 10*g**2 + 4*g**5 - 28*g + 0*g + 42*g**2 = 0.
-2, 1
Let c(u) = -7*u**3 + 3*u + 2*u - u - 3*u**2 + 6. Let t(s) = 7*s**3 + 4*s**2 - 3*s - 5. Let d(o) = 5*c(o) + 6*t(o). Factor d(h).
h*(h + 1)*(7*h + 2)
Let l(v) = 4*v**4 - 4*v**2 + 3. Let j(g) = -5*g**4 + 5*g**2 - 4. Let a(x) = -3*j(x) - 4*l(x). Factor a(s).
-s**2*(s - 1)*(s + 1)
Determine j so that 2 + 2*j**2 + 0*j**2 + 7*j - 5*j - 6*j = 0.
1
Let v(f) be the third derivative of f**8/336 + f**7/70 + f**6/120 - f**5/20 - f**4/12 + f**2. Factor v(u).
u*(u - 1)*(u + 1)**2*(u + 2)
Let k(f) = -f**3 - 2*f**2 - f + 2. Let m be k(-2). Let s(o) be the first derivative of -1/6*o**2 + 0*o + 8/9*o**3 - 4/3*o**m + 2. Factor s(u).
-u*(4*u - 1)**2/3
Let x(h) be the second derivative of 0 - 1/2*h**2 + 2*h + 1/12*h**4 + 0*h**3. Find d such that x(d) = 0.
-1, 1
Let n = 3 - -9. Suppose -4*w + 8 = -n. Factor 1/4*a**2 + 0 + 3/4*a**4 + 3/4*a**3 + 1/4*a**w + 0*a.
a**2*(a + 1)**3/4
Let x be 30/(-12)*4/(-5). Let -6*v**x - 2*v**3 - 5*v**3 + 0*v**2 - 2*v**3 - 3*v**4 = 0. What is v?
-2, -1, 0
Suppose 5*h = -10, 2*o - 3*h = 2*h + 18. Find s such that 3 - 4*s**3 - 2*s**5 - 1 + 8*s**2 - 6*s**o + 6*s - 4