4*z. Factor s(l).
-(l - 2)*(l + 1)/3
Let c be 12*(-6)/(-60)*10/28. Suppose 12/7 + c*g**3 - 9/7*g**2 + 0*g = 0. What is g?
-1, 2
Suppose 0*w + 0 + 3/4*w**3 - 1/8*w**5 + 1/8*w**4 + 0*w**2 = 0. Calculate w.
-2, 0, 3
Suppose 0 = -w + 4*x + 48, 5*x - 154 - 38 = -4*w. Let -w + 48 + r - r**3 = 0. What is r?
-1, 0, 1
Suppose 45*o**2 + 5*o**3 + 13 + 36 + 19 + 12 + 120*o = 0. What is o?
-4, -1
Let r(n) be the second derivative of -5*n**6/432 - n**5/72 - n**4/144 - n**3/2 - 5*n. Let b(v) be the second derivative of r(v). Suppose b(c) = 0. What is c?
-1/5
Let h(j) = -4*j - 25. Let z be h(-7). Solve 1/6 + 1/2*q**2 + 1/2*q + 1/6*q**z = 0.
-1
Suppose 8/3*f + 0 - 4/3*f**2 = 0. Calculate f.
0, 2
Let y(i) be the first derivative of 3/2*i**2 + 0*i - 2 - i**3. Let u(z) = -10*z**2 + 10*z - 1. Let f(s) = 4*u(s) - 14*y(s). Factor f(m).
2*(m - 2)*(m + 1)
Let m(w) = -5*w**4 + 15*w**3 + 4*w**2 - 8*w - 13. Let n(y) = 3*y**4 - 8*y**3 - 2*y**2 + 4*y + 7. Let u(c) = 4*m(c) + 7*n(c). Factor u(v).
(v - 1)*(v + 1)**2*(v + 3)
Let n(i) = -i**4 + 2*i**3 + i**2 - 2*i. Let r(z) = 6*z + 3*z - 8*z**2 - 9*z**3 + 3*z**2 + 5*z**4. Let o(s) = -9*n(s) - 2*r(s). Factor o(f).
-f**2*(f - 1)*(f + 1)
Solve -43*g - 5 - 5 - 2 + 27*g - 4*g**2 = 0.
-3, -1
Let s(q) = -11*q**4 + 4*q**3 + 7*q**2 + 9. Let d(z) = 5*z**4 - 2*z**3 - 3*z**2 - 4. Let x(l) = 4*l. Let k be x(-1). Let b(g) = k*s(g) - 9*d(g). Factor b(o).
-o**2*(o - 1)**2
Let o = 193/388 - -1/388. What is g in -g + g**3 + 0*g**2 - 1/2*g**4 + o = 0?
-1, 1
Suppose z + 4*z = 15, -13 = t - 5*z. Suppose -5*c + 4 + 6 = 0. Let -2/3*u**c - 4/3 - t*u = 0. What is u?
-2, -1
Suppose -4*g = 5*t - 5, 0 = -4*g - t + 4*t - 3. Factor g + 2/7*p + 2/7*p**2.
2*p*(p + 1)/7
Let r(m) be the first derivative of 2*m**5/5 - 7*m**4/6 - 4*m**3/3 + 4*m**2 + 16*m/3 - 53. Let r(h) = 0. What is h?
-1, -2/3, 2
Let f be 1/2 - (-3)/18*-3. Solve -2/5*z**5 + f*z + 2/5*z**3 + 0 - 2/5*z**4 + 2/5*z**2 = 0 for z.
-1, 0, 1
Factor 0 + 0*i + 1/8*i**3 + 0*i**2.
i**3/8
Let b(a) = 2*a**3 + 8*a**2 - 6*a + 2. Let y(l) = l**4 + 11*l**3 + 41*l**2 - 31*l + 11. Let z(q) = 11*b(q) - 2*y(q). Factor z(v).
-2*v*(v - 1)**2*(v + 2)
Let t(b) = -b**4 - b**3 + b**2 + b - 1. Let h(x) = -5*x**4 + 25*x**3 + 100*x**2 + 110*x + 30. Let v(w) = h(w) - 10*t(w). Find p, given that v(p) = 0.
-2, -1
Let l = -354/5 + 71. Let b(p) be the second derivative of 0*p**2 + 0 + 1/3*p**3 - 1/30*p**6 + l*p**5 - 5/12*p**4 + 2*p. Let b(i) = 0. What is i?
0, 1, 2
Let i be ((-4)/(-12))/(0 - -1). Let -1/3*h**3 - h + i + h**2 = 0. What is h?
1
Let o = 25/1332 + 1/111. Let r(d) be the third derivative of -1/90*d**5 - 1/180*d**6 + 0 + o*d**4 + 1/315*d**7 + 0*d + 0*d**3 + 3*d**2. Let r(l) = 0. What is l?
-1, 0, 1
Let t be (-2 - (0 + 1))*5/(-45). Solve 1/3*f**3 + 0*f + t*f**2 + 0 = 0 for f.
-1, 0
Let l be 2/(-2)*2 - 25. Let s = -23 - l. Suppose 4/9*c + 0*c**2 - 2/9 + 2/9*c**s - 4/9*c**3 = 0. Calculate c.
-1, 1
Let z(h) = -3*h. Let i be z(-2). Suppose 3*f - i*f = -15. Find q such that 0 + 0*q**2 - 2/3*q**4 + 0*q + 1/3*q**3 + 1/3*q**f = 0.
0, 1
Let r(o) be the third derivative of -o**8/50400 - o**5/60 + 3*o**2. Let d(z) be the third derivative of r(z). Find c, given that d(c) = 0.
0
Let s(k) be the third derivative of k**6/480 + k**5/240 - k**4/96 - k**3/24 + 8*k**2. Suppose s(q) = 0. What is q?
-1, 1
Let j(v) be the third derivative of -1/672*v**8 + 0*v + 1/120*v**6 + 0 - 1/48*v**4 + 0*v**5 + 2*v**2 + 0*v**3 + 0*v**7. What is q in j(q) = 0?
-1, 0, 1
Let -1/6*z**4 - 5/6*z**2 + 1/3*z + 0 + 2/3*z**3 = 0. Calculate z.
0, 1, 2
Let g(j) be the second derivative of 0*j**5 + 0 + j + 0*j**3 + 0*j**2 + 0*j**4 + 1/14*j**7 - 1/10*j**6. Factor g(z).
3*z**4*(z - 1)
Let g be -3 + 1/(-2) + 268/72. Factor g*x**3 + 0 - 2/3*x**2 + 0*x.
2*x**2*(x - 3)/9
Factor 72 - 155*z**2 - 4*z**3 - 84*z + 336*z**2 - 149*z**2.
-4*(z - 3)**2*(z - 2)
Suppose 2*p = 3*p. Let l(k) = k**3 - 5*k**2 - 6*k + 4. Let a be l(6). What is y in p*y**2 - 2/9*y**5 - 2/9*y**3 + 0 + 0*y - 4/9*y**a = 0?
-1, 0
Let m(r) be the first derivative of 1 + 0*r - 1/180*r**5 + 1/36*r**4 - r**2 - 1/18*r**3. Let l(t) be the second derivative of m(t). Solve l(o) = 0.
1
Let y(x) = -7*x**5 + x**4 - 6. Let j(g) = -6*g**5 + g**4 - 5. Suppose 4*m = -4*p - 8, 3*m = -p - 8 - 6. Let f(w) = m*j(w) + 5*y(w). Factor f(n).
n**4*(n - 1)
Let w(m) be the third derivative of m**9/35280 - m**7/5880 - 7*m**4/24 - 3*m**2. Let u(l) be the second derivative of w(l). Factor u(x).
3*x**2*(x - 1)*(x + 1)/7
Let s(x) be the first derivative of 5*x**6/51 - 32*x**5/85 + 9*x**4/17 - 16*x**3/51 + x**2/17 + 25. Factor s(l).
2*l*(l - 1)**3*(5*l - 1)/17
Let k(f) be the third derivative of -16*f**7/35 + 17*f**6/5 - 3*f**5/2 - 17*f**4/16 + f**3 - 22*f**2. Solve k(i) = 0 for i.
-1/4, 1/4, 4
Let h be (1/(-3) + 0)*0. Find t, given that -2/7*t**3 + 4/7*t + 2/7*t**2 + h = 0.
-1, 0, 2
Let g be (5 - 7) + (1 - -7). Let z be 156/8*8/g. Factor 0*p**3 - 2*p**4 - 2*p**3 - 22*p**2 + z*p**2.
-2*p**2*(p - 1)*(p + 2)
Let k(p) be the third derivative of -p**7/84 + p**5/8 + 5*p**4/24 + 20*p**2. Suppose k(x) = 0. What is x?
-1, 0, 2
Let z(g) be the second derivative of -g**4/60 + g**3/30 - 3*g. Factor z(w).
-w*(w - 1)/5
Factor 12*d**2 - 32/3*d + 0 - 4/3*d**3.
-4*d*(d - 8)*(d - 1)/3
Suppose 0 = 3*u - 15, o = -2*u + 4*u - 4. Suppose -3*a**4 + 2*a + 6*a**3 - 2*a**4 + 3*a**4 - o*a**2 = 0. What is a?
0, 1
Let j(p) be the second derivative of -p**5/100 + p**4/60 + 2*p**3/15 - 2*p**2/5 + 40*p. Factor j(b).
-(b - 2)*(b - 1)*(b + 2)/5
Let f be (5/150)/(2/5). Let u(q) be the second derivative of q + f*q**4 + 0*q**3 - 1/2*q**2 + 0. Factor u(v).
(v - 1)*(v + 1)
Suppose -4*o + o + 6 = 0. Suppose 0 = -o*h - h. What is m in 0 + h*m - 2/9*m**2 + 0*m**3 + 2/9*m**4 = 0?
-1, 0, 1
Let w(l) = l**4. Let z(u) = 7*u**4 + u**3 - 2*u**2. Let h(s) = 6*w(s) - z(s). Factor h(p).
-p**2*(p - 1)*(p + 2)
Let o(g) = 6*g**2 + 15*g - 21. Let f(c) = 3*c**2 + 7*c - 10. Let b(p) = 9*f(p) - 4*o(p). Find r such that b(r) = 0.
-2, 1
Suppose 5*a + 38 - 8 = 0. Let d(q) = q**3 + 6*q**2 - q - 2. Let v be d(a). Determine c, given that -2*c**v + 0*c**4 - 17*c**2 + 19*c**2 = 0.
-1, 0, 1
Factor -2/11*r**2 - 2/11*r + 0.
-2*r*(r + 1)/11
Let c(d) be the third derivative of 5*d**8/336 - 3*d**7/35 + 17*d**6/120 - d**4/6 + 17*d**2. Solve c(z) = 0.
-2/5, 0, 1, 2
Let v be 12/(-120) - (-31)/10. Let j(p) be the second derivative of -1/7*p**2 + 0 - 4/21*p**v + 2/35*p**5 + 1/42*p**4 - 3*p. Factor j(c).
2*(c - 1)*(c + 1)*(4*c + 1)/7
Suppose 5*h - 4*v = 48, 5*h + v + 0*v - 38 = 0. Let g be (-1)/2 - (-4)/h. Factor 0*j + 2/9*j**3 - 2/9*j**5 + g*j**2 + 0 + 0*j**4.
-2*j**3*(j - 1)*(j + 1)/9
Suppose 0 = o + p - 2 - 7, o - 5*p = -3. Let -3 - 2*j**2 - o*j + j**2 + 3*j = 0. What is j?
-3, -1
Let f(w) be the second derivative of -1/60*w**5 + w + 0*w**2 + 1/36*w**4 + 0*w**3 + 0. Factor f(y).
-y**2*(y - 1)/3
Let v be (1/(-3))/((-3)/(-27)). Let m be ((-1)/v)/((-3)/(-18)). Factor m*l**3 - 16/3*l**2 + 0 + 8/3*l.
2*l*(l - 2)*(3*l - 2)/3
Suppose -26*f + 23*f - 99 = 0. Let v be 44/f*(-3)/2. Factor -2/9*q**3 + 0*q + 0 + 2/9*q**v.
-2*q**2*(q - 1)/9
Determine m, given that 221 - 12*m - 112 + m**2 - 118 - 4*m**2 = 0.
-3, -1
Let s be ((-3)/(-6))/((-1)/(-10)). Suppose j + 4 = -0*j - 2*w, j + 13 = -s*w. Factor 0*l**2 + 3*l - l**j - 2*l.
-l*(l - 1)
Let s(g) be the third derivative of g**7/1680 - g**6/480 - g**5/40 + g**4/3 - 4*g**2. Let z(k) be the second derivative of s(k). Factor z(f).
3*(f - 2)*(f + 1)/2
Let h = -11/5 + 71/30. Let s(o) be the third derivative of o**2 - h*o**3 + 0*o + 5/24*o**4 + 0 - 5/48*o**5. Factor s(d).
-(5*d - 2)**2/4
Let r(a) = a**2 + 7*a - 5. Let w be r(-8). Suppose w*d - 5 = 7. Factor -d - 14*x**3 - 20*x**2 - 6*x - 12*x**2 - 16*x.
-2*(x + 1)**2*(7*x + 2)
Suppose v = -3*f - 6 - 7, v - 5 = 3*f. Let h(z) = -4*z**3 + 3*z**2 + 4*z + 1. Let p(k) = k**2 + 1. Let y(b) = v*p(b) + 2*h(b). Factor y(g).
-2*(g - 1)*(g + 1)*(4*g - 1)
Let h(k) be the second derivative of 0 + 0*k**2 + 1/3*k**3 - 2*k - 1/6*k**4. Suppose h(y) = 0. What is y?
0, 1
Let j(q) be the second derivative of q**10/20160 + q**9/10080 - q**8/2240 - q**4/3 - 6*q. Let i(g) be the third derivative of j(g). Factor i(t).
3*t**3*(t - 1)*(t + 2)/2
Let w(x) be the third derivative of 7*x**5/300 - 3*x**4/40 + x**3/15 - 10*x**2. Factor w(s).
(s - 1)*(7*s - 2)/5
Let