0. Let q(z) = t*o(z) + 3*a(z). What is y in q(y) = 0?
-1, 0
Let y(h) be the third derivative of 0*h - 1/5*h**5 - 1/105*h**7 - 1/3*h**3 + 0 - 1/3*h**4 - 1/15*h**6 - 2*h**2. Find q such that y(q) = 0.
-1
Let m = 763 + -761. Factor -15/2*v**4 + 0 - 21/2*v**m + 27/2*v**3 + 3*v + 3/2*v**5.
3*v*(v - 2)*(v - 1)**3/2
Let s be (3 + -3 - -3)*1. Solve 6*q**2 - 5*q**2 - 5*q + 2 + 3*q**2 - q**s = 0 for q.
1, 2
Let h(w) be the first derivative of -w**6/18 - 2*w**5/15 + 9. Solve h(q) = 0 for q.
-2, 0
Let d = -2812/5 + 563. Factor d*s**2 - 6/5*s - 9/5.
3*(s - 3)*(s + 1)/5
Let h = 2/399 + 2126/399. Let c(z) be the first derivative of 2*z - 5*z**2 + h*z**3 + 1 - 2*z**4. Find j, given that c(j) = 0.
1/2, 1
Let q be 3*((-26)/(-6) + -3). Let d(f) be the second derivative of 0*f**3 + 1/30*f**6 - 3*f + 1/10*f**5 + 1/12*f**q + 0*f**2 + 0. Factor d(k).
k**2*(k + 1)**2
Suppose -3*n - s + 160 = 0, -13 = -n - 2*s + 42. Determine l, given that -49*l + n*l + 7*l**5 - 8*l**3 - 3*l**5 = 0.
-1, 0, 1
Suppose 19*j = -31*j + 17*j. Factor 0*x + 1/3*x**5 - x**3 + 0 + j*x**4 + 2/3*x**2.
x**2*(x - 1)**2*(x + 2)/3
Let c(m) = 2*m**4 - 6*m**3 - 9*m**2 + 17*m. Let y(u) = -u**2 + u. Let g(i) = -2*c(i) + 18*y(i). Factor g(v).
-4*v*(v - 2)**2*(v + 1)
Let v(s) be the second derivative of -5*s**7/56 + 17*s**6/40 - 63*s**5/80 + 11*s**4/16 - s**3/4 + 3*s. Factor v(t).
-3*t*(t - 1)**3*(5*t - 2)/4
Let u(k) = -k**3 + k + 4. Suppose 11*l = 6*l. Let b be u(l). Suppose -1/4*y + 1/4 + 1/2*y**3 - 1/4*y**5 + 1/4*y**b - 1/2*y**2 = 0. Calculate y.
-1, 1
Let z = 0 - -2. Suppose -2*f**3 - 3*f**3 + 7*f**2 + z*f**3 + 5*f**3 + 7*f + 2 = 0. Calculate f.
-2, -1, -1/2
Let j(c) be the first derivative of -2*c**6/3 - 8*c**5/5 - c**4 + 6. What is o in j(o) = 0?
-1, 0
Suppose -5*a = -10 - 5. Let t be 2*a/(-12)*-4. Suppose -2/3*l**t - 4/3 - 2*l = 0. Calculate l.
-2, -1
Let r(p) = p**3 + p**2 + 1. Let u(j) = -16*j**3 - 24*j**2 + 4*j - 18. Let b(a) = -36*r(a) - 2*u(a). Factor b(g).
-4*g*(g - 2)*(g - 1)
Let x be (9/6)/((-3)/(-8)). Let b be (x/5)/((-14)/(-40)). Suppose -482/7*r**3 - 32/7*r**5 - 152/7*r + b + 208/7*r**4 + 460/7*r**2 = 0. Calculate r.
1/4, 2
Let g(o) be the first derivative of -o**4/6 - 10*o**3/9 - o**2 + 6*o + 21. Solve g(x) = 0.
-3, 1
Let y = 26/9 + -14/9. Let m(a) = a**3 + 3*a**2 - 4*a + 3. Let v be m(-4). Solve 8/9*g**v + 2/9*g**4 + y*g**2 + 8/9*g + 2/9 = 0.
-1
Let p be 2/3*(-81)/(-36). Factor -1/4*n**2 - 9/4 + p*n.
-(n - 3)**2/4
Let t(s) = -s**2 - 1. Let g(j) = 4*j - 9*j**2 + 11*j + 1 + 3*j. Suppose 0*o + 4*o = -2*r - 6, -12 = -2*o + 2*r. Let h(a) = o*g(a) + 5*t(a). Factor h(n).
-2*(n - 1)*(7*n - 2)
Let p be -2*3*(-111)/6. Find m, given that 65*m**5 - 28*m**5 + 123*m**4 + 26*m**5 - 72*m - 12 + 9*m**3 - p*m**2 = 0.
-1, -2/3, -2/7, 1
Let z(m) be the first derivative of m**6/50 - 3*m**5/100 - 4*m + 1. Let o(i) be the first derivative of z(i). Find v such that o(v) = 0.
0, 1
Let q(l) = 3*l**3 - 4*l**2 - l + 4. Let y(o) = 12*o**3 - 15*o**2 - 3*o + 15. Let k(u) = -9*q(u) + 2*y(u). Factor k(c).
-3*(c - 2)*(c - 1)*(c + 1)
Find z, given that 2/9*z**4 + 0 + 14/9*z**2 + 2/3*z + 10/9*z**3 = 0.
-3, -1, 0
Let x be (-8)/(-6)*57/38. Let t(q) be the second derivative of -x*q**2 - 5/3*q**3 - 1/2*q**4 + 1/15*q**6 + 0 + 1/10*q**5 - q. Determine j, given that t(j) = 0.
-1, 2
Suppose 3*v + 2*s = v + 12, 2*s = -v + 10. Factor -v*l**3 - 4*l**4 + 2*l**2 + 2*l**5 + 5*l**4 + l**4 - 4*l**4.
2*l**2*(l - 1)**2*(l + 1)
Let c(b) = -8*b**4 - 16*b**2 - 2*b - 22. Let x(h) = -h**2 - 1. Let p(y) = 2*c(y) - 44*x(y). Solve p(g) = 0 for g.
-1, 0, 1/2
Let f(s) be the second derivative of -s**2 - 2*s + 1/36*s**3 - 1/72*s**4 + 0 + 1/360*s**5. Let l(u) be the first derivative of f(u). Factor l(t).
(t - 1)**2/6
Factor -6*f**3 + 2*f**3 - 13*f + 4 + 10*f - 4*f**2 + 7*f.
-4*(f - 1)*(f + 1)**2
Factor 0*l**4 + 1/2*l**5 - 3/2*l**3 + 0 + l**2 + 0*l.
l**2*(l - 1)**2*(l + 2)/2
Let v = 4 - 1. Suppose v*b - m = 4, 5*b + 3*m + 7 = -5. Factor -1/5*o**3 + 0*o - 1/5*o**2 + 1/5*o**4 + b + 1/5*o**5.
o**2*(o - 1)*(o + 1)**2/5
Let l(k) be the third derivative of -7/80*k**5 - 5/32*k**4 + 0 + 0*k - 2*k**2 - 3/160*k**6 - 1/8*k**3. Factor l(x).
-3*(x + 1)**2*(3*x + 1)/4
Let d(f) = f**3 + 8*f**2 + 7*f + 5. Let g be d(-7). Suppose 0 = -j + g*j. Solve 2/3*m**3 + j*m**2 - 2*m - 4/3 = 0 for m.
-1, 2
Let n(h) = h**4 - 2*h**3 + 4*h - 1. Let w(q) = -8*q**4 + 16*q**3 - 33*q + 8. Let g(f) = 51*n(f) + 6*w(f). Determine j so that g(j) = 0.
-1, 1
Suppose -x = 2*x - 5*c - 26, 0 = -3*x + 3*c + 18. Determine w, given that -x*w**2 + 5 - 2 - 4 + 3*w**2 = 0.
-1, 1
Let m(x) be the first derivative of -1/3*x**3 + 1/2*x**2 + 6 + 2*x. Suppose m(u) = 0. What is u?
-1, 2
Let h(u) be the second derivative of u**5/6 - u**4/6 + 2*u**2 + 2*u. Let n(b) be the first derivative of h(b). Factor n(x).
2*x*(5*x - 2)
Factor 2*h - h**2 + 2 + 1 + 0*h.
-(h - 3)*(h + 1)
Let i be -1 + -7 + -25 + 28 - -7. Let 20/7*m**4 - 8/7*m + 6/7*m**5 + i*m**3 + 0 - 8/7*m**2 = 0. Calculate m.
-2, -1, 0, 2/3
Let t(i) be the second derivative of i**7/210 + i**6/60 - i**4/12 - i**3/6 - 2*i**2 - 4*i. Let f(q) be the first derivative of t(q). Solve f(c) = 0.
-1, 1
Let h(n) be the second derivative of -n**5/80 + n**4/48 - 2*n. Factor h(d).
-d**2*(d - 1)/4
Let g(m) = -2*m**3 + 18*m**2 - 24*m + 10. Let r(u) = -2*u**3 + 19*u**2 - 24*u + 9. Let p(i) = 7*g(i) - 6*r(i). Find h such that p(h) = 0.
2
Factor 484 + 932*s + 0*s**2 - 844*s + 4*s**2.
4*(s + 11)**2
Factor -1/2*q**4 + 3/2*q**2 + 0 + 0*q**3 - q.
-q*(q - 1)**2*(q + 2)/2
Let g(r) be the third derivative of -r**5/90 - r**4/9 - r**3/3 - 6*r**2. Factor g(s).
-2*(s + 1)*(s + 3)/3
Factor 1/5*x**3 - 9/5 + 3/5*x + x**2.
(x - 1)*(x + 3)**2/5
Let z(q) be the third derivative of -q**7/1050 + q**6/600 + q**2. Factor z(g).
-g**3*(g - 1)/5
Suppose -4*q + 4 = -g + 2*g, -3*g + 12 = q. Find m such that -3*m**2 - 4 + 1 + 0 + 2*m + g*m = 0.
1
Determine s so that -3/5*s**3 - 1/5*s**4 - 3/5*s**2 + 0 - 1/5*s = 0.
-1, 0
Determine l, given that 0 + 2/3*l**2 + 2/3*l - 1/2*l**3 + 1/6*l**5 - 1/3*l**4 = 0.
-1, 0, 2
Let d(m) be the second derivative of m**8/1512 - 2*m**7/945 + m**5/135 - m**4/108 + 2*m**2 - 3*m. Let n(k) be the first derivative of d(k). Factor n(y).
2*y*(y - 1)**3*(y + 1)/9
Let n(u) = 6*u**2 + 2*u - 2. Let c(h) = -h**2 + h + 1. Suppose -o + 6 + 0 = 5*s, 0 = -2*s - 5*o + 7. Let q(i) = s*n(i) - 6*c(i). Find a such that q(a) = 0.
-2/3, 1
Let j be 2/(-3)*(-60)/8. Factor -4*c**4 - c**j - 4*c**2 - 6*c**3 + 0 + 0*c**3 - c + 0.
-c*(c + 1)**4
Let n(j) = -j + 18. Let h be n(-12). Let d = h - 148/5. Factor -d - 4/5*p - 2/5*p**2.
-2*(p + 1)**2/5
Let q(a) be the third derivative of a**6/160 - a**5/40 + a**4/32 - 2*a**2. Factor q(r).
3*r*(r - 1)**2/4
Let c(y) = 2*y + 7. Let s be c(-5). Let m(g) = -g - 3. Let p be m(s). Factor -1/2*d**2 + 1/4*d**5 + 1/2*d**4 - 1/4*d + 0 + p*d**3.
d*(d - 1)*(d + 1)**3/4
Suppose 13*k = 8*k + 10. Let m(q) be the third derivative of -3*q**k + 1/12*q**4 - 1/60*q**6 - 1/3*q**3 + 1/30*q**5 + 0 + 0*q. Factor m(d).
-2*(d - 1)**2*(d + 1)
Let j = 18 + -18. Let c(v) be the second derivative of v + 1/6*v**3 + j + 0*v**2 + 1/12*v**4. Factor c(y).
y*(y + 1)
Let s(i) be the second derivative of -3*i**5/20 + i**4/2 + 8*i. Factor s(l).
-3*l**2*(l - 2)
Let y(q) be the third derivative of 0*q**4 + 0 + 0*q + 1/360*q**6 + 0*q**3 + 3*q**2 - 1/180*q**5. Solve y(s) = 0 for s.
0, 1
Let q(b) be the second derivative of 0*b**3 + 0*b**2 + 0*b**4 + 0 + 1/30*b**5 - 2*b. Find j, given that q(j) = 0.
0
Let p = 4 - 3. Let z(w) = w - 1. Let i be z(p). Factor -4/3*r**4 + 0*r**2 + i*r + 0 + 2/3*r**3.
-2*r**3*(2*r - 1)/3
Factor 4/7*z**4 + 0 + 8/7*z**2 + 2*z**3 + 0*z - 2/7*z**5.
-2*z**2*(z - 4)*(z + 1)**2/7
Let z(p) = p**2. Let i(r) = -4*r**2 - 25*r - 10. Let q(s) = i(s) - 6*z(s). Suppose q(c) = 0. Calculate c.
-2, -1/2
Suppose -2/9 + 0*v**2 + 4/9*v**3 - 4/9*v + 2/9*v**4 = 0. What is v?
-1, 1
Factor -16/19*y - 12/19*y**3 + 0 - 2/19*y**4 - 24/19*y**2.
-2*y*(y + 2)**3/19
Factor 39*z - 13 + 101*z**2 - 130*z**2 - z**4 + 2 + 9*z**3 - 7.
-(z - 3)**2*(z - 2)*(z - 1)
Factor 8*q**2 - q**4 + 8*q - 4*q**3 - 16 + 1/2*q**5.
(q - 2)**3*(q + 2)**2/2
Suppose -7*g = -2*g - 165. Suppose -2*j - g = j. Let m(q) = -q**2 + q - 2. Let i(x) = -6*x**2 + 5*x - 10. Let o(a) = j*m(a) + 2*i(a). Factor o(b).
-(b - 1)*(b + 2)
Let x(f) 