y).
2*y*(y - 1)*(y + 1)/9
Let b = 11 + -11. Suppose -7 = -4*x - 3*j, 4*j - 12 = -4*x - 4. Factor x - 2*r**2 + b*r - 4 - 1 + 6*r.
-2*(r - 2)*(r - 1)
Let j(r) = -r**2 + r. Let g(u) = -9*u**2 + 3*u. Let q(a) = -g(a) + 6*j(a). Find b such that q(b) = 0.
-1, 0
Factor -4/7*l + 0 - 22/7*l**2 - 18/7*l**3.
-2*l*(l + 1)*(9*l + 2)/7
Let m(y) be the third derivative of -y**7/210 + y**5/30 - y**3/6 + 3*y**2 - 8. Factor m(z).
-(z - 1)**2*(z + 1)**2
Solve -5*t**3 - 160 + 30*t**2 + 2262*t - 2262*t = 0.
-2, 4
Let w(c) = c**2 + c + 2. Let q be w(0). Let g be 0*(q - (-3)/(-2)). Suppose 2*d**2 - 3*d + g*d**4 + 4*d - d**3 - 2*d**4 = 0. Calculate d.
-1, -1/2, 0, 1
Let 2*o**4 - 2*o + 1/2*o**3 - 5*o**2 + 4 + 1/2*o**5 = 0. What is o?
-2, 1
Let y(r) = -3*r**2 + 2 - 2 - 2*r + 4*r + r**3 - 3. Let x be y(3). Factor 2*s**4 - s**3 + 6*s**2 - 5*s**x + 0*s - 2*s.
2*s*(s - 1)**3
Suppose 1/4 - 1/2*i + 1/4*i**2 = 0. What is i?
1
Let d = 1/36 + 2/9. Let c = 3 - 1. Factor d - a**3 - a + 3/2*a**c + 1/4*a**4.
(a - 1)**4/4
Let w be 2*(2 + -4)*-2. Let p = -5 + w. Solve c**5 - 2*c + c**2 - 4*c**4 + p*c**2 + c**5 = 0 for c.
-1, 0, 1
Factor -2*a**2 + 4*a**2 - 6*a**3 + 8*a**3.
2*a**2*(a + 1)
Let d(o) be the third derivative of -o**8/1680 - o**7/1050 + o**6/600 + o**5/300 + 8*o**2. Let d(n) = 0. What is n?
-1, 0, 1
Suppose 9*r - 10*r + 3 = 0. Let v(x) be the first derivative of -10/3*x**r + 2 - 1/2*x**4 - 8*x**2 - 8*x. Solve v(l) = 0.
-2, -1
Let h(q) be the third derivative of -q**5/180 + q**4/72 + q**3/9 - q**2. Determine v, given that h(v) = 0.
-1, 2
What is s in 4/5*s**3 - 2/5*s + 0 + 0*s**4 - 2/5*s**5 + 0*s**2 = 0?
-1, 0, 1
Let y(g) be the third derivative of g**2 - 1/12*g**4 - 1/60*g**5 + 0*g**3 + 0 + 1/120*g**6 + 0*g. Factor y(c).
c*(c - 2)*(c + 1)
Let l(b) = b**2 - 46*b - 144. Let o be l(49). Factor -2/9*z + 0*z**4 + 0 + 0*z**2 - 2/9*z**5 + 4/9*z**o.
-2*z*(z - 1)**2*(z + 1)**2/9
Let m(u) = -3*u**3 - 2*u - 5. Let s(i) = -2*i**3 - 2*i - 4. Let q = 24 - 20. Let z(k) = q*m(k) - 5*s(k). What is l in z(l) = 0?
-1, 0, 1
Factor 22*q**4 - 4*q**2 - 52*q**5 - 4*q**3 - 2*q**4 + 40*q**5.
-4*q**2*(q - 1)**2*(3*q + 1)
Let n be (-6)/(-3)*(-1)/(-2). Let c = n + -1. Let 0*p**3 + c + 1/2*p**4 - 1/4*p**5 - 1/2*p**2 + 1/4*p = 0. Calculate p.
-1, 0, 1
Let c = 7 - 2. Let q(i) be the first derivative of 0*i**2 + 1/14*i**4 - 2 - 1/21*i**6 - 2/35*i**c + 2/21*i**3 + 0*i. What is p in q(p) = 0?
-1, 0, 1
Let o(f) be the third derivative of -f**8/672 + f**7/420 + f**6/240 - f**5/120 - 4*f**2. Factor o(j).
-j**2*(j - 1)**2*(j + 1)/2
Let t(n) be the first derivative of 0*n**3 + 0*n + 1/12*n**4 + 0*n**2 - 1/18*n**6 + 0*n**5 - 2. Suppose t(d) = 0. What is d?
-1, 0, 1
Let j = -1 + 7. Let d be (-120)/225*j/(-8). Factor 0 + 8/5*a**3 - d*a**2 - 4/5*a + 6/5*a**4.
2*a*(a + 1)**2*(3*a - 2)/5
Let q = 10 + -7. Let n = 13 - 9. Factor 0 - 2/9*l - 2/3*l**2 - 2/3*l**q - 2/9*l**n.
-2*l*(l + 1)**3/9
Suppose -7/3*w**2 + 6 - 61/3*w = 0. What is w?
-9, 2/7
Let s = 12 + -9. What is v in 0*v**2 + v**3 - s*v**2 - 1 + 3*v + 0*v**3 = 0?
1
Let t(d) be the first derivative of 4*d**3/15 - 32*d**2/5 - 17. Solve t(k) = 0.
0, 16
Suppose 7 = 2*a - 5. Suppose -5*h - a = -8*h. Factor -4 - 6*i - 1/2*i**3 - 3*i**h.
-(i + 2)**3/2
Let h = -2 - -1. Let g(d) = -3*d**3 + 16*d**2 - 20*d + 4. Let u(a) = -a**3 + a**2. Let q(b) = h*u(b) - g(b). Factor q(s).
(s - 2)**2*(4*s - 1)
Let 0 - 6/13*x**2 - 4/13*x - 2/13*x**3 = 0. What is x?
-2, -1, 0
Let p(j) = 2*j**3 - 2*j**2 - 3. Let y(o) = -3*o**3 + 2*o**2 + 4. Let d(m) = 4*p(m) + 3*y(m). Factor d(v).
-v**2*(v + 2)
Let g(x) = 2*x - 15. Let p be g(8). Let z be 1*0/(p + -2). Factor 1/4*d**5 + 0*d**2 + z - 1/4*d**4 + 0*d**3 + 0*d.
d**4*(d - 1)/4
Let s be ((-2)/4)/(1/(-8)). Suppose v = s*v. Factor -4/3*h**3 - 2/3*h**2 + v - 2/3*h**4 + 0*h.
-2*h**2*(h + 1)**2/3
Let k(a) = a**2 - a - 2. Let b be k(2). Factor 9/5*y**2 - 3/5*y**3 + b + 0*y.
-3*y**2*(y - 3)/5
Let y = 8/9 + 22/9. Determine x so that 10/3*x**3 - y*x - 8/3*x**4 + 2/3 + 2*x**2 = 0.
-1, 1/4, 1
Let v(c) be the third derivative of -c**8/1008 + c**7/210 + 4*c**2. Let v(k) = 0. Calculate k.
0, 3
Let k(h) = 5*h**3 - 26*h**2 + 15*h + 6. Let u(f) = f**2 - 1. Let s(c) = k(c) + 6*u(c). Factor s(m).
5*m*(m - 3)*(m - 1)
Let j be (1/20*4)/1. Let p(s) be the first derivative of -1 + j*s**2 + 0*s + 1/5*s**3. Find i, given that p(i) = 0.
-2/3, 0
Let r be (-20)/24 - 2*(-4)/8. Solve -1/6*g**3 - 1/6*g**2 + r*g + 1/6*g**4 + 0 = 0.
-1, 0, 1
Suppose -2*b - 6 = -5*x, -8 = 4*b + 4. Suppose 0 = o - 2*f + 8, -o - 2*o - 2*f + 8 = x. Factor o + 0*i - 8/9*i**3 + 2/9*i**2.
-2*i**2*(4*i - 1)/9
Let z(f) = -f**5 + f**4 + f**2 - f + 1. Let l(s) = 8*s**5 + 8*s**4 + 2*s**3 - 4*s**2 + 2*s - 2. Let n(o) = -2*l(o) - 4*z(o). Factor n(q).
-4*q**2*(q + 1)**2*(3*q - 1)
Let h = 5 - 3. Factor -8 + 4*a - 2*a**h + 0*a + 5*a - a.
-2*(a - 2)**2
Let o(a) = -a**2 + 9*a. Let k(s) = -5 + s + 0 + 5 - s**2. Let p(l) = 5*k(l) - o(l). Factor p(t).
-4*t*(t + 1)
Suppose a - 16 = 3*a. Let b(m) = -m**3 - 8*m**2 + m + 10. Let g be b(a). Factor 0 - 1/3*y**4 - 2/3*y**3 + 0*y - 1/3*y**g.
-y**2*(y + 1)**2/3
Let h(k) be the third derivative of -7*k**5/75 + 11*k**4/60 - 2*k**3/15 + 8*k**2. Determine o, given that h(o) = 0.
2/7, 1/2
Suppose s + 2 = 1, -9 = -2*k + 5*s. Let x(d) = d + 9. Let f be x(-5). Factor -f - g**3 + g**k + 2 + 2.
-g**2*(g - 1)
Let x(y) be the first derivative of -y**6/180 + y**5/60 + y**4/6 - y**3/3 + 2. Let p(i) be the third derivative of x(i). Let p(c) = 0. Calculate c.
-1, 2
Suppose -16 = -0*l - 4*l. Solve 7*x**2 + 4 + 2*x**l - 11*x**3 - 14*x + 11*x**2 + 0 + x**3 = 0.
1, 2
Let g(s) = s**3 + 3*s**2 + 3. Let v be g(-3). Determine w, given that w**3 - w**3 + 4*w**3 - 3*w - w**v = 0.
-1, 0, 1
Let n(p) be the third derivative of p**6/70 + 23*p**5/420 + 13*p**4/168 + p**3/21 - 9*p**2. Factor n(b).
(b + 1)*(3*b + 2)*(4*b + 1)/7
Let c(d) = 2*d**4 + 4*d**3 + 4*d**2 + 2*d. Let u(i) = 10*i**4 + 19*i**3 + 19*i**2 + 10*i. Let a(g) = 22*c(g) - 4*u(g). Determine s, given that a(s) = 0.
-1, 0
Let b = -2/51 - -112/255. Let 2/5 + b*x**2 - 4/5*x = 0. What is x?
1
Let n = 63 + -59. Let f(i) be the first derivative of 0*i**2 - 2/35*i**5 - 1/14*i**n + 0*i + 0*i**3 - 2. Let f(g) = 0. What is g?
-1, 0
Let o = -4 + -47. Let b = o - -359/7. Find m such that b - 2/7*m**2 + 2/7*m - 2/7*m**3 = 0.
-1, 1
Find q such that 2*q**4 + q**4 - 1 + q**4 - 2*q**2 - 1 - 5*q + q**5 + 4*q**3 = 0.
-2, -1, 1
Let v(d) be the second derivative of d**5/30 - d**4/24 + 3*d**2/2 + 2*d. Let b(u) be the first derivative of v(u). What is n in b(n) = 0?
0, 1/2
Let q(b) be the second derivative of -b**6/165 + b**5/110 + b**4/66 - b**3/33 - b. Factor q(t).
-2*t*(t - 1)**2*(t + 1)/11
Let k = -7 + 16. Let a be ((-1)/k)/(6/(-27)). Factor 1/2*b**2 + 1/2*b**3 - a*b**4 - 1/2*b + 0.
-b*(b - 1)**2*(b + 1)/2
Let n(r) be the first derivative of -r**6/6 + 14*r**5/15 - 7*r**4/6 - 8*r**3/9 + 17*r**2/6 - 2*r - 13. Determine i so that n(i) = 0.
-1, 2/3, 1, 3
What is b in 3/2 + 21/4*b - 27/4*b**2 = 0?
-2/9, 1
Let o be (-6)/(-6) - (3 - -1). Let h = o - -5. Suppose -j**3 - j**4 + j**2 + j**2 - 2*j**h = 0. Calculate j.
-1, 0
Suppose 7*y + 3*y - 974*y**2 + 979*y**2 = 0. Calculate y.
-2, 0
Suppose -3*g + 2 = -4*g. Let p be (0 + 1)*(g - -4). Factor -2/5*l**4 + 2/5*l**3 + 0 + 0*l + 0*l**p.
-2*l**3*(l - 1)/5
Let p(b) be the second derivative of 7*b**5/60 + 4*b**4/9 + 11*b**3/18 + b**2/3 - 5*b. Factor p(g).
(g + 1)**2*(7*g + 2)/3
Let t(w) be the third derivative of 0 + 0*w + 0*w**3 - 1/12*w**4 + 1/30*w**5 - 3*w**2. Factor t(q).
2*q*(q - 1)
Let k(q) be the second derivative of q**4/18 - q**3/3 - 15*q. Factor k(o).
2*o*(o - 3)/3
Let j = -1077/7 - -154. Let j*m + 0 + 1/7*m**2 = 0. Calculate m.
-1, 0
Let k(f) = 25*f**2 - 65*f + 40. Let v(x) = -2*x**2 + 5*x - 3. Let p(b) = 3*k(b) + 40*v(b). Find l such that p(l) = 0.
0, 1
Suppose 8 = 5*v - 2*x, 5*v + 0*x - 12 = 3*x. Let i(r) be the first derivative of 4/9*r**3 + 1/3*r**2 + 1/6*r**4 + v*r - 2. Suppose i(y) = 0. Calculate y.
-1, 0
Let w be ((-4)/(-24))/(0 - (-2)/6). Find z, given that 0 + 0*z - z**3 + w*z**4 + 1/2*z**2 = 0.
0, 1
Let x(c) be the second derivative of 0*c**3 - 1/10*c**6 - 1/14*c**7 + 0*c**2 + 2*c + 1/4*c**4 + 3/20*c**5 + 0. Factor x(i).
-3*i**2*(i - 1)*(i + 1)**2
Suppose -4*r = 2*n + 10 - 34, -2*n - 2*r = -14. Suppose n = 