f -375*v**4/4 - 300*v**3 - 360*v**2 - 192*v - 1. Suppose l(i) = 0. Calculate i.
-4/5
Solve 8*k**3 - 23*k**2 - 36*k**4 + 4*k**3 + k**2 - 6*k + 52*k**4 = 0 for k.
-3/2, -1/4, 0, 1
Let f = 130 - 519/4. Let c(w) be the first derivative of 0*w**5 + 1/6*w**6 + 0*w + 0*w**2 - 1 - f*w**4 + 0*w**3. Factor c(s).
s**3*(s - 1)*(s + 1)
Factor 2/3*n**2 + 800/3 - 80/3*n.
2*(n - 20)**2/3
Let k(b) = -9*b**3 - 13*b**2 - 9*b. Let m(u) = 20*u**2 + 2*u**3 + 9*u**3 + 3*u**3 + 0*u**3 + 14*u. Let z(t) = 8*k(t) + 5*m(t). What is i in z(i) = 0?
-1, 0
Let x(p) be the second derivative of p + 0 + 1/70*p**5 + 1/42*p**4 + 0*p**3 + 0*p**2. Factor x(t).
2*t**2*(t + 1)/7
Suppose u = -0*u + 8. Let p be ((-3)/u)/((-9)/6). Find c such that -1/4*c**5 - p*c**3 + 0*c + 0*c**2 - 1/2*c**4 + 0 = 0.
-1, 0
Let s(d) be the third derivative of d**6/360 - d**5/45 + d**4/18 + 11*d**2. What is m in s(m) = 0?
0, 2
Let l(r) be the first derivative of 2/3*r**3 - 1 + r**4 - 2*r - 2*r**2. Factor l(q).
2*(q - 1)*(q + 1)*(2*q + 1)
Factor 4 - 12*k - 12*k**4 + 26*k**3 + 4 - 12*k**2 + 2*k**3.
-4*(k - 1)**3*(3*k + 2)
Let s = 1657/2 + -827. Let 9/2 + 6*y + s*y**2 = 0. What is y?
-3, -1
Let j = -25 - -27. Solve -2 - 14*o**2 + j + 4*o + 0 = 0 for o.
0, 2/7
Let f(i) = -i**2 - 16*i + 19. Let q be f(-17). Let b be -2 + 5/4 + 1. Factor 1/2*o**3 - 1/4 + b*o**q - 1/2*o.
(o - 1)*(o + 1)*(2*o + 1)/4
Suppose 4*z**4 + 0*z + 0 - 32/5*z**3 - 4/5*z**5 + 16/5*z**2 = 0. What is z?
0, 1, 2
Let n(r) be the third derivative of 0*r**4 + 1/840*r**8 + 0 - 2/525*r**7 + 0*r**5 + 0*r**3 + 3*r**2 + 0*r + 1/300*r**6. Factor n(c).
2*c**3*(c - 1)**2/5
Let j be (16/24)/(2/12). Find r such that -3*r**5 + 5*r**5 - 3*r**5 + r**j = 0.
0, 1
Let v(w) = w**2. Let s(x) = 3*x**2 + x + 5. Let q(a) = s(a) + 2*v(a). Let y(d) = -d**2 - 1. Let u(k) = 2*q(k) + 9*y(k). Determine b, given that u(b) = 0.
-1
Let p(l) be the third derivative of l**6/30 + l**5/5 + l**4/3 + 3*l**2. Find v such that p(v) = 0.
-2, -1, 0
Let g(c) be the first derivative of c**3/12 + 3*c**2/8 + c/2 + 7. Factor g(v).
(v + 1)*(v + 2)/4
Let c(u) be the third derivative of u**6/840 + u**5/210 - u**4/168 - u**3/21 - 13*u**2. Factor c(k).
(k - 1)*(k + 1)*(k + 2)/7
Let a(d) = -d - 7. Let t be a(-11). Let t*l**2 - l - l**2 + 0*l - 5*l = 0. Calculate l.
0, 2
Let x(m) = -4*m - 2. Let t be x(-2). Factor t - 6*n + 3*n**2 - 2*n - 5*n + 4*n.
3*(n - 2)*(n - 1)
Let q(d) be the second derivative of -d**4/24 + 5*d**3/6 - 22*d. Factor q(u).
-u*(u - 10)/2
Factor -g**2 + 55 + 0*g**2 - 4*g - 59.
-(g + 2)**2
Let l(a) be the second derivative of -a**6/60 - a**5/10 - a**4/4 - a**3/3 - a**2/4 - 4*a. Find m, given that l(m) = 0.
-1
Let r(z) = z**3 + 6*z**2 + 3*z - 10. Let k be r(-5). Let w(c) be the second derivative of 0 - 2*c - 1/24*c**4 - 1/12*c**3 + k*c**2. Factor w(u).
-u*(u + 1)/2
Suppose -2*g + 4*r - 8*r + 8 = 0, 0 = 4*g + 5*r - 13. Suppose 14/3*n + 4/3 + 10/3*n**g = 0. Calculate n.
-1, -2/5
Suppose 7*b - 17 = 4*b - h, -h - 18 = -4*b. Solve 0*g**2 - 4/7*g**3 + 0 + 2/7*g**b + 2/7*g + 0*g**4 = 0 for g.
-1, 0, 1
Solve 5/2*p**3 - 5/2*p**2 - 5/2*p + 5/2 = 0.
-1, 1
Let x(i) = 3*i**3 + 9*i**2 + 2. Let d be x(-3). Find n, given that -4/7*n**d + 2/7*n**4 + 0 - 2/7*n**3 + 0*n = 0.
-1, 0, 2
Suppose 5*c - 8 = 22. Let p be (1/3)/(c/72). Solve 0 + 4/3*s**3 - 14/3*s**5 - 10/3*s**p + 0*s**2 + 0*s = 0 for s.
-1, 0, 2/7
Solve -4*w**3 + 3*w + 0*w**3 - 6*w + 7*w = 0.
-1, 0, 1
Let h be ((-2)/6)/1*-3. Let t be 1/(h/2*1). Factor 0 - 3/4*c**t + 1/4*c.
-c*(3*c - 1)/4
Let c(v) be the third derivative of -v**8/840 - 2*v**7/525 + v**5/75 + v**4/60 - 2*v**2 + 2*v. Factor c(o).
-2*o*(o - 1)*(o + 1)**3/5
Let m = -12 + 38/3. Suppose 1/3*s**2 - 1/3*s - m = 0. Calculate s.
-1, 2
Let g be ((-45)/(-2))/(-5)*(-10)/15. Factor 1/3*q**g + 0*q + 0 - 1/3*q**4 - 1/3*q**5 + 1/3*q**2.
-q**2*(q - 1)*(q + 1)**2/3
Let p = -22 + 33. Suppose 4*u = p + 5. Solve 0*o + o**u + 0*o**2 - 1/2*o**3 - 1/2*o**5 + 0 = 0 for o.
0, 1
Let k(x) be the second derivative of -3*x**5/20 - 7*x**4/20 + 4*x**3/5 + 6*x**2/5 - 7*x. Find r such that k(r) = 0.
-2, -2/5, 1
Find h such that -5/6*h**4 + 0 + 5/2*h**3 + 5/6*h**2 - 5/2*h**5 + 0*h = 0.
-1, -1/3, 0, 1
Let f(q) be the second derivative of -3/14*q**7 + 0*q**3 + 1/5*q**6 + 0*q**2 - 1/2*q**4 + 0 - 2*q + 9/20*q**5. Solve f(d) = 0.
-1, 0, 2/3, 1
Let w(q) be the first derivative of -2*q**7/735 + q**6/70 - 2*q**4/21 + 4*q**2 - 8. Let s(y) be the second derivative of w(y). Factor s(f).
-4*f*(f - 2)**2*(f + 1)/7
Let n(x) be the third derivative of -1/60*x**5 + 0*x**3 + 1/120*x**6 + 0*x - 1/12*x**4 + 0 + x**2. Find b, given that n(b) = 0.
-1, 0, 2
Suppose 2*x = -x + 6. Factor 87*r + r**2 - 85*r - 2*r**x.
-r*(r - 2)
Let i(j) be the first derivative of -2/33*j**3 + 0*j - 1 + 0*j**2. Factor i(v).
-2*v**2/11
Factor 3*z**2 + z + z + z.
3*z*(z + 1)
Let k(a) be the second derivative of a**4/12 - a**2 + 2*a. Let i be k(2). Solve 0*g**3 + 2*g**2 - 2 + i*g**3 - 2*g + 0*g**3 = 0 for g.
-1, 1
Let t = -8 - -10. Suppose 0*x**2 - 2*x**5 + t*x**3 - 3*x**4 + 2*x**2 + 0*x**4 + x**4 = 0. Calculate x.
-1, 0, 1
Let b(w) = w**3 - 7*w**2 + 15*w - 9. Let s be b(4). What is a in 21*a + 2 + 147/2*a**2 + 343/4*a**s = 0?
-2/7
Let o(z) = z**2 + 12*z + 2. Let f be o(-12). Factor -2*k**4 - 2*k**4 + f*k**3 + 4*k**3 - 2*k**2.
-2*k**2*(k - 1)*(2*k - 1)
Let m(g) be the second derivative of -g**4/42 - 2*g**3/21 - g**2/7 + 3*g. Find z, given that m(z) = 0.
-1
Let y be (-27)/(-3) - 1/1. Suppose -3*v - v = -y. Suppose d**2 - 3*d + 3*d - 4*d**v = 0. What is d?
0
Let g = -32/95 + 14/19. Let -4/5*p - g - 2/5*p**2 = 0. Calculate p.
-1
Suppose 21 = 3*d + d - 3*a, -d = 4*a + 9. Let w be (15/(-6))/((-1)/2). Factor -2*o**4 + 6*o**5 + o**d - 5*o**3 + 0*o**w.
2*o**3*(o - 1)*(3*o + 2)
Let l be 35/14*12/10. Suppose -3 + l + 3*x + 5*x + 4 + 3*x**2 = 0. Calculate x.
-2, -2/3
Let i be (-30)/(-12)*(-8)/(-10). Let j(n) be the first derivative of 0*n + 1 + 0*n**3 - 1/16*n**4 + 1/8*n**i. Factor j(g).
-g*(g - 1)*(g + 1)/4
Let j(v) = -v**2 + 20. Let c be j(4). Determine x, given that 0*x**2 + 4/13*x**3 - 2/13*x**5 + 0 + 0*x**c - 2/13*x = 0.
-1, 0, 1
Let l(t) be the first derivative of -48*t**5/5 + 6*t**4 + 15*t**3 - 12*t**2 + 3*t - 8. Let l(k) = 0. What is k?
-1, 1/4, 1
Suppose -12*w = -16*w + 12. Factor 0 + 0*r**2 + 1/2*r**w + 0*r.
r**3/2
Let y be (0 - 1)*6/(-15). Solve 2*f**3 - 2/5 - y*f**4 - f + 4/5*f**2 - f**5 = 0.
-1, -2/5, 1
Let l be ((-1)/(-20))/(12/(-170)). Let o = -1/24 - l. What is z in -2/3*z**3 - o*z - 4/3*z**2 + 0 = 0?
-1, 0
Let q = -8 - -10. Solve -2*k**q - 6/5*k + 0 = 0.
-3/5, 0
Let y(g) be the first derivative of 1/6*g**4 - 2/3*g + 2/9*g**3 + 3 - 1/3*g**2. Factor y(w).
2*(w - 1)*(w + 1)**2/3
Suppose 0*i - 9 = -3*i. Suppose 0*b = 3*b - 9. Find m, given that b*m**3 - m**3 - i*m**3 + m**4 = 0.
0, 1
Solve -2*z - 4/3*z**2 + 4/3 = 0 for z.
-2, 1/2
Suppose 3*s - 64 + 19 = 0. Factor -15*m**4 + 5*m**3 - 3*m**2 + 4*m + 2*m - 14*m**3 - s*m**3.
-3*m*(m + 1)**2*(5*m - 2)
Let v(x) be the first derivative of -5*x**6/2 + 36*x**5/5 + 33*x**4/4 - 26*x**3 - 18*x**2 + 24*x + 46. Determine g so that v(g) = 0.
-1, 2/5, 2
Let u(t) be the first derivative of t**5/5 + 3*t**4/4 - 2*t**2 - 5. Let u(z) = 0. Calculate z.
-2, 0, 1
Let o(v) be the second derivative of 5*v**7/3 + v**6/2 - 9*v**5/4 + 5*v**4/6 - 3*v. Suppose o(y) = 0. What is y?
-1, 0, 2/7, 1/2
Let g(u) be the third derivative of -u**8/1680 - u**7/210 - 3*u**6/200 - 7*u**5/300 - u**4/60 + u**2. Factor g(i).
-i*(i + 1)**3*(i + 2)/5
Let s = -1 - 2. Let o be 2/15*s*-5. Factor y**2 + y**3 - 7*y**2 + o*y + 5*y**3 - 2*y**4.
-2*y*(y - 1)**3
Let h = -5223/11 + 475. Factor -4/11*a + 2/11*a**2 + h.
2*(a - 1)**2/11
Let 0*z**2 + 0 + 0*z**3 - 6/5*z**5 - 4/5*z**4 + 0*z = 0. Calculate z.
-2/3, 0
Let i(l) = -l**3 + 21*l**2 - 14*l + 9. Let j(r) = r**3 - 10*r**2 + 7*r - 4. Let o(p) = -2*i(p) - 5*j(p). Find q, given that o(q) = 0.
2/3, 1
Factor 0*g - 106*g**2 + 104*g**2 - 2*g.
-2*g*(g + 1)
Suppose -3/4*o + 0 + 3/4*o**2 = 0. What is o?
0, 1
Let p(m) be the first derivative of -4*m**6/21 - 2*m**5/5 + m**4 + 26*m**3/21 - 20*m**2/7 + 8*m/7 + 7. Find r such that p(r) = 0.
-2, 1/4, 1
Suppose 0 = 3*v - 2*v - 4. Let n be 60/(-18) - v*-1. Factor n*i**2 + 0*i - 8/9 + 2/9*i**3.
2*(i - 1)*(i + 2)**2/9
Let d(g) be the first derivative of -4/21*g**3 + 0*g - 2