of 2/5*r**5 + 10 + 0*r - 1/2*r**4 - 2/3*r**3 + 0*r**2 + 1/3*r**6. Determine y so that x(y) = 0.
-1, 0, 1
Suppose 0 = 2*d - 5*i - 9, -i = -2 + 3. Suppose -4*b - d*a + 22 - 6 = 0, 0 = 4*b + 3*a - 20. Solve -s**b - s**4 + 2*s**4 + 0*s**4 = 0.
-1, 0, 1
Let z(l) be the first derivative of -l**2 + 4/3*l**3 - 4 + 0*l**4 + 1/3*l**6 + 0*l - 4/5*l**5. Suppose z(s) = 0. What is s?
-1, 0, 1
Let q(n) be the third derivative of 1/210*n**6 - 1/735*n**7 - 1/42*n**4 + 2*n**2 + 0 + 0*n**5 + 0*n + 1/21*n**3. Factor q(x).
-2*(x - 1)**3*(x + 1)/7
Let i = 27/2 + -13. Let z(f) = f**3 + 5*f**2 + 5*f + 6. Let u be z(-4). Determine w so that 1/4 + i*w + 1/4*w**u = 0.
-1
Let l(j) be the third derivative of j**9/80640 - j**8/26880 + j**5/15 - 2*j**2. Let u(n) be the third derivative of l(n). Factor u(m).
3*m**2*(m - 1)/4
Let z be 5 - (-1)/((-10)/42). Determine f, given that -2/5*f**3 + 0 - 2/5*f - z*f**2 = 0.
-1, 0
Let x(c) be the third derivative of -c**8/1260 + c**7/630 - c**6/720 - c**5/20 + c**2. Let w(h) be the third derivative of x(h). Find m such that w(m) = 0.
1/4
Let k(n) be the third derivative of -1/147*n**7 + 0*n**3 - 1/210*n**5 + 0 + 5*n**2 + 0*n + 0*n**4 - 1/70*n**6. Solve k(q) = 0.
-1, -1/5, 0
Let c(t) be the second derivative of 0 - 1/90*t**6 + 0*t**3 - 2*t + 0*t**2 + 1/36*t**4 + 0*t**5. What is k in c(k) = 0?
-1, 0, 1
Suppose -3*c + c + 8 = 0. Let q(g) = g - 4. Let r be q(c). Factor r*j**2 + 2/3*j**4 - 2/3 - 4/3*j**3 + 4/3*j.
2*(j - 1)**3*(j + 1)/3
Let d(t) be the third derivative of -t**8/112 + 2*t**7/35 + t**6/20 - 3*t**5/5 - 9*t**4/8 + 18*t**2. Factor d(j).
-3*j*(j - 3)**2*(j + 1)**2
Let x(a) = a. Let t be x(3). Let w be (4/(-10))/((-1)/5). Factor -4/5*u + 6/5*u**w + 0 - 2/5*u**t.
-2*u*(u - 2)*(u - 1)/5
Suppose 12*a - 25*a + 39 = 0. Suppose -2/5*q + 2/5*q**4 - 2/5*q**2 + 2/5*q**a + 0 = 0. What is q?
-1, 0, 1
Factor 0*m + 0 + 2*m**4 - 2/5*m**5 + 8/5*m**2 - 16/5*m**3.
-2*m**2*(m - 2)**2*(m - 1)/5
Let b(l) be the second derivative of -2*l**7/21 + 2*l**6/15 + l**5/5 - l**4/3 - 2*l. Factor b(s).
-4*s**2*(s - 1)**2*(s + 1)
Let r be 2/3*-3 + 5. Factor -3/5*d**2 - 3/5*d - 1/5 - 1/5*d**r.
-(d + 1)**3/5
Let j(i) be the first derivative of 14/9*i**3 + 4 + 0*i + i**2 - 5/18*i**4 - 10/9*i**5. Factor j(n).
-2*n*(n - 1)*(5*n + 3)**2/9
Let a = 6/17 - -27/68. Factor 0 - 3/4*v**2 - a*v**3 + 0*v.
-3*v**2*(v + 1)/4
Let t(l) be the second derivative of l**5/70 + l**4/14 - 3*l - 5. Factor t(r).
2*r**2*(r + 3)/7
Let t(h) be the second derivative of -2*h**6/15 - h**5/5 + 12*h. Let t(l) = 0. Calculate l.
-1, 0
Let -w**4 - 2*w**2 + 35*w**3 - 41*w**3 - 5*w**4 - 2*w**5 = 0. What is w?
-1, 0
Let h(r) be the third derivative of r**7/10080 + 5*r**4/24 + 3*r**2. Let y(f) be the second derivative of h(f). Find z such that y(z) = 0.
0
Suppose 0 = -p - 0*f - 2*f + 5, -3*p - f = -5. Factor p - u + 1/4*u**2.
(u - 2)**2/4
Factor 1/2*k**2 + 0 + k.
k*(k + 2)/2
Factor 0*g + 4/9*g**2 + 0.
4*g**2/9
Let w(d) = d**3 + 2*d**2 - 3*d - 2. Let l be w(-3). Let f be l/5 - (-42)/35. Factor -f*v + 2/5*v**2 + 2/5.
2*(v - 1)**2/5
Factor 0*z - 6*z - 2 + 5*z**2 + z - 8.
5*(z - 2)*(z + 1)
Let x(o) = -o**3 - o**2 + o - 1. Let a(u) = 5*u + 0*u - 4*u**3 - 9*u**2 + u**2 - 4 - u. Let s(n) = -a(n) + 6*x(n). Factor s(k).
-2*(k - 1)**2*(k + 1)
Let k = -65 - -67. Let -12/7*q**3 + 16/7*q**k + 2/7 - 18/7*q**4 + 12/7*q = 0. What is q?
-1, -1/3, 1
Factor -18/5*i**3 - 4/5*i**5 - 2/5*i - 14/5*i**4 - 2*i**2 + 0.
-2*i*(i + 1)**3*(2*i + 1)/5
Let b be 6/27 - 136/(-36). Solve 4*a + 5*a**2 + 3 - 2*a - 2*a**2 + b*a = 0 for a.
-1
Find x such that -4/5 - 24/5*x - 36/5*x**2 = 0.
-1/3
Let a be (-4)/(-6) - (-30 + 28). Find i, given that -8/3 - a*i - 2/3*i**2 = 0.
-2
Let o = 28 - 9. Suppose 5*h - 21 = h - 5*j, o = 5*h - j. Factor 14*t**3 + 2*t - 8*t**3 + 6*t**2 - t**h + 3*t**4.
2*t*(t + 1)**3
Let z(t) = 2*t**2 - 2*t + 5. Let i be z(5). Let y be i/10*2/3. Factor 0 - 3 + 1 - 6*j - 2*j**y - 6*j**2.
-2*(j + 1)**3
Factor -1/7*l - 3/7*l**2 + 3/7 + 1/7*l**3.
(l - 3)*(l - 1)*(l + 1)/7
Let c be 11/33 + 1/(-3). Let z(y) be the third derivative of 0*y**4 + 1/420*y**6 + 0*y + 0*y**5 + 0 - 2*y**2 + c*y**3. Factor z(t).
2*t**3/7
Let x be 1*(1/(-1))/(-1). Solve -x + 0*f + f**2 + 4*f - 4*f = 0 for f.
-1, 1
Let d(p) = 7*p**4 - 13*p**3 - 5*p**2 + 9*p - 4. Let q(r) = -27*r**4 + 53*r**3 + 19*r**2 - 35*r + 17. Let b(o) = -9*d(o) - 2*q(o). Factor b(z).
-(z - 1)**2*(z + 1)*(9*z - 2)
Let k(s) = 5*s**2 + 8*s + 1. Suppose 3*f - 24 = 7*f. Let z(t) = -4*t**2 - 8*t. Let h(c) = f*k(c) - 7*z(c). Factor h(j).
-2*(j - 3)*(j - 1)
Let l(a) be the second derivative of -a**7/14 - a**6/10 + 9*a**5/20 + 5*a**4/4 + a**3 - 2*a. Let l(j) = 0. What is j?
-1, 0, 2
Let f(i) be the first derivative of i**3/24 + i**2/8 + i/8 + 18. Find n, given that f(n) = 0.
-1
Suppose 3*i = -2*p + 2, 3*p - 3*i - 2 = 4*p. Let 4*r - 1 + r**2 + 0 - p*r = 0. Calculate r.
-1, 1
Let f = 93/16 - 5/16. Let 0 + m + f*m**2 = 0. What is m?
-2/11, 0
Let j = -521/5 - -105. Factor j + 2/5*f - 2/5*f**2.
-2*(f - 2)*(f + 1)/5
Suppose 0*q + 18*q + 1329*q**2 - 1332*q**2 = 0. Calculate q.
0, 6
Let b = 25 - 124/5. Let y be 46/30 - 76/57. Factor 2/5*g**2 + 2/5*g**3 - 1/5 - b*g - 1/5*g**5 - y*g**4.
-(g - 1)**2*(g + 1)**3/5
Let q = 7 + -4. Let t(y) = -12*y**2 - 4*y + 2. Let l(g) = -25*g**2 - 7*g + 4. Let x(w) = q*l(w) - 5*t(w). What is b in x(b) = 0?
-2/5, 1/3
Let o(l) be the second derivative of 1/3*l**3 + 0 - 1/180*l**6 + l + 0*l**2 - 1/60*l**5 + 0*l**4. Let w(y) be the second derivative of o(y). Factor w(f).
-2*f*(f + 1)
Let f(v) = -v. Let r be f(-5). Suppose 0 = 5*c - 5*g - 40, 8 = c + 5*g - 6. Factor -c*k**2 + k - r - 3 + 14*k + 2.
-3*(k - 1)*(3*k - 2)
Suppose -7*q - 4*q = -33. Let i(d) be the second derivative of -1/4*d**2 - 1/16*d**4 + 0 + 3*d - 5/24*d**q. Factor i(n).
-(n + 1)*(3*n + 2)/4
Suppose -3*p = 4*p - 350. Let z be p/18 - 4/(-18). Factor 0*r + 0 - 1/2*r**z + 0*r**2 - r**5 - 3/2*r**4.
-r**3*(r + 1)*(2*r + 1)/2
Suppose -1/4*r**3 - 39/4*r + 45/4 + 11/4*r**2 = 0. What is r?
3, 5
Let g(f) = -8*f**4 - 9*f**3 - 10*f**2 + 26*f + 1. Let k(c) = -3*c**4 - 3*c**3 - 3*c**2 + 9*c. Let j(i) = -6*g(i) + 17*k(i). Factor j(n).
-3*(n - 2)*(n - 1)*(n + 1)**2
Suppose 5*a = -4*k - 15, -3*k + 3 + 3 = -2*a. Find b such that 24*b**3 + 196/3*b**5 - 8/3*b**2 - 70*b**4 + k*b + 0 = 0.
0, 2/7, 1/2
Let w be 3 + (8 - 3 - (3 - 1)). Factor w + 3/4*y**3 + 9/2*y**2 + 9*y.
3*(y + 2)**3/4
Let s(x) be the first derivative of 1/3*x**3 + 2 - 3/2*x**2 + 2*x. Factor s(a).
(a - 2)*(a - 1)
Determine b, given that 4/7*b**2 + 0 + 8/7*b - 4/7*b**3 = 0.
-1, 0, 2
Factor 10*m + 6 + 2/3*m**3 + 14/3*m**2.
2*(m + 1)*(m + 3)**2/3
Factor s**2 - 37*s + 6 - 33*s + 65*s.
(s - 3)*(s - 2)
Let s(u) = -u**3 + 7*u**2 + 6. Let h be s(7). Let j be (h/(-4))/((-50)/20). Let 1/5 + 4/5*f + j*f**2 = 0. Calculate f.
-1, -1/3
Factor -1/6*b**2 - 1/3 + 1/2*b.
-(b - 2)*(b - 1)/6
Suppose -3/7*g + 0 + 3/7*g**2 = 0. Calculate g.
0, 1
Let j(n) be the second derivative of 0 + 0*n**5 + 1/14*n**7 - 4*n - 1/2*n**4 - 1/2*n**3 + 1/5*n**6 + 0*n**2. Factor j(r).
3*r*(r - 1)*(r + 1)**3
Suppose y + 0 - 2 = -g, 2*y - 4*g + 8 = 0. Suppose -4 = -2*v - 0. Factor 0*t**3 + 4/9*t**v - 2/9*t**5 - 4/9*t**4 + y + 2/9*t.
-2*t*(t - 1)*(t + 1)**3/9
Let u(r) = r**3 + r**2. Let t(s) = -2*s**3 - 2*s**2. Let b(p) = 2*p**2 + p. Let m be 5/(-3) - 2/(-3). Let h be b(m). Let c(o) = h*t(o) + 3*u(o). Factor c(f).
f**2*(f + 1)
Suppose -7*c + 18 - 4 = 0. Let b(g) be the first derivative of -1/12*g**4 + 1/3*g**c + 0*g - 3 + 1/9*g**3. Find s, given that b(s) = 0.
-1, 0, 2
Let y be 1*(-20)/(-6) + (-6)/2. Let 2/3*u**4 + y*u**3 + 0 + 1/3*u**5 + 0*u**2 + 0*u = 0. What is u?
-1, 0
Let w(i) = -i**2 - i - 1. Let s(v) = 20*v**3 - 12*v**2 - 40*v - 28. Let h(y) = s(y) - 20*w(y). Determine a so that h(a) = 0.
-1, -2/5, 1
Let g(n) be the second derivative of n**7/189 - n**5/45 + n**3/27 + 8*n. Factor g(u).
2*u*(u - 1)**2*(u + 1)**2/9
Let k(l) be the first derivative of 2*l**5/5 - 2*l**4 + 10*l**3/3 - 2*l**2 + 2. Let k(v) = 0. What is v?
0, 1, 2
Let p(b) = b**2 + 3*b + 2. Let g be p(-1). Factor g + 1/2*d + 3/2*d**3 + 3/2*d**2 + 1/2*d**4.
d*(d + 1)**3/2
Let i(d) be the third derivative of d**8/840 + d**7/210 + d**3/3 - 3*d**2. Let j(z) be the first derivative of i(z). Determine r, given that j(r) = 0.
-2, 0
Let m = 949/84 - 45/