(-20)*(22/6 - 3). Solve -2/5*i**2 + r*i + 0 + 2/5*i**4 - 4/5*i**3 = 0.
-1, 0, 1, 2
Let l be 84/54 + 8/(-36). Let f(d) be the first derivative of -1 - 2/9*d**3 + l*d**2 - 8/3*d. Solve f(p) = 0.
2
Suppose 0 = d + 5*d - 3*d. Find p, given that 1/5*p**2 + d + 0*p = 0.
0
Let x(s) be the third derivative of s**5/100 + 3*s**4/20 + s**3/2 - 16*s**2. Factor x(k).
3*(k + 1)*(k + 5)/5
Let g = -16 - -18. Let p(m) be the first derivative of -1/12*m**4 - g + 0*m + 0*m**5 + 1/18*m**6 + 0*m**3 + 0*m**2. Determine b, given that p(b) = 0.
-1, 0, 1
Let p(q) = -q**2 + 1. Let i be p(-2). Let t be (-5 + 4)/(i/6). Factor 2/7*w**4 + 0*w**3 + 0 - 2/7*w**t + 0*w.
2*w**2*(w - 1)*(w + 1)/7
Let v be ((-86)/(-3))/((-492)/(-8)). Let o = -10/41 + v. Find c, given that 2/3*c**2 - 2/3*c**3 + 0 - o*c + 2/9*c**4 = 0.
0, 1
Let s be 0/((3 - -1 - 0) + -2). Find p such that 0 - 2/15*p**4 - 4/15*p**2 - 2/5*p**3 + s*p = 0.
-2, -1, 0
Let o = -5699/28210 + -199/310. Let l = -4/91 - o. Factor 22/5*s - 32/5*s**2 + 14/5*s**3 - l.
2*(s - 1)**2*(7*s - 2)/5
Suppose 2 = -2*d, 0 = -f - 40*d + 45*d + 8. Factor 0*v + 0 - 4/3*v**2 + 2/3*v**f + 2/3*v**4.
2*v**2*(v - 1)*(v + 2)/3
Let s = -1 - -5. Suppose r + 10 = s*z - 0, -2*z + 16 = 5*r. Factor 6/5*t + 0 + 3/5*t**z + 9/5*t**2.
3*t*(t + 1)*(t + 2)/5
Suppose -2*c = 3*g - 19, -3*g + 41 = 2*g + c. Let b = g + -7. Find m such that -1/4 - 1/2*m**3 + m**5 - 7/4*m**4 + b*m**2 - 1/2*m = 0.
-1, -1/4, 1
Let r(n) be the first derivative of n**7/126 - n**6/90 - 10*n + 10. Let i(x) be the first derivative of r(x). Factor i(p).
p**4*(p - 1)/3
Let o(g) be the second derivative of 0*g**3 + 3*g + 1/8*g**4 + 0 + 0*g**2 - 1/20*g**6 + 0*g**5. Factor o(h).
-3*h**2*(h - 1)*(h + 1)/2
Let n be -5 - (-1)/(360/1806). Let c(v) be the third derivative of -n*v**4 - 1/150*v**5 - 3*v**2 + 0*v + 2/15*v**3 + 0. Determine t so that c(t) = 0.
-2, 1
Suppose h - 4 = -5*m + 37, 0 = 4*m - 2*h - 44. Factor -3*o**4 - 6*o**3 - 4*o**2 + m*o**4 + 4*o**4.
2*o**2*(o - 1)*(5*o + 2)
Let z(y) = 8*y**4 - 16*y**3 + 22*y**2 - 8*y. Let k(w) = w**4 - w**3 + w**2. Let v(u) = -6*k(u) + z(u). Suppose v(m) = 0. What is m?
0, 1, 2
Let b(h) = 2*h + 6. Let z be b(6). Let t = z - 18. Factor 0 + 2/7*l**2 + t*l.
2*l**2/7
Let w be 2/(-6) - 52/(-12). Solve -4*q**3 - 2*q**4 + w*q + 0*q**2 + 2*q**2 + 0*q**3 = 0.
-2, -1, 0, 1
Let m(q) be the third derivative of -q**7/105 + 3*q**6/40 - 7*q**5/30 + 3*q**4/8 - q**3/3 + 7*q**2 + 2. Factor m(d).
-(d - 2)*(d - 1)**2*(2*d - 1)
Let a(i) be the second derivative of -i**9/3024 - i**8/840 + i**6/180 + i**5/120 - 5*i**3/3 - i. Let u(l) be the second derivative of a(l). Factor u(h).
-h*(h - 1)*(h + 1)**3
Suppose 5*l - 68 = -268. Let h be ((-10)/12)/(50/l). Factor 1/3*t**2 - h*t + 0 + 1/3*t**3.
t*(t - 1)*(t + 2)/3
Factor 5*d**4 - 8*d**3 + 60*d**2 + 53*d**3 - 6*d**3 - 9*d**3 + 40*d.
5*d*(d + 2)**3
Let n(p) be the third derivative of -4*p**2 + 0*p - 1/2*p**3 - 1/4*p**4 + 0 - 1/20*p**5. Suppose n(i) = 0. Calculate i.
-1
Let z(x) be the third derivative of 0*x - x**2 + 0*x**3 - 1/120*x**5 + 0 - 1/48*x**4. Factor z(p).
-p*(p + 1)/2
Find s such that 2/7*s - 12/7 + 2/7*s**2 = 0.
-3, 2
Let h(f) = -f**3 - 15*f**2 - 12*f + 19. Let v be h(-14). Let z be 2/4 + (-3)/v. Find w such that 5/6*w + 2/3*w**2 - 1/3*w**4 - 1/3 - 5/3*w**3 + z*w**5 = 0.
-1, 2/5, 1
Let x(d) be the third derivative of d**6/180 - d**5/60 - d**4/6 + 11*d**3/6 + 8*d**2. Let u(p) be the first derivative of x(p). Solve u(v) = 0 for v.
-1, 2
Let m(t) = -2*t**3 + 4*t**2 - 6*t + 4. Let r(n) = -n**3 + 3*n**2 - 5*n + 3. Let a(k) = -3*m(k) + 4*r(k). Factor a(c).
2*c*(c - 1)*(c + 1)
Find b, given that 9/2*b + 3 + 3/2*b**2 = 0.
-2, -1
Let h(m) be the first derivative of 3 + 2/9*m**3 - 1/18*m**4 + 2*m - 1/3*m**2. Let q(t) be the first derivative of h(t). Let q(p) = 0. Calculate p.
1
Let k(n) = -n - 1. Let q be k(-5). Factor -2*v**3 + 4*v - 2*v - 4*v**2 + q*v**3.
2*v*(v - 1)**2
Let z(o) be the first derivative of -2/15*o**3 + 1/5*o**2 - 4 + 4/5*o. Factor z(i).
-2*(i - 2)*(i + 1)/5
Suppose -12/7*x**4 + 12/7*x - 9/7*x**3 + 12/7*x**2 - 3/7*x**5 + 0 = 0. What is x?
-2, -1, 0, 1
Let x(p) be the first derivative of 0*p**2 + 1/40*p**5 + 0*p - 1/12*p**4 - 2 - 4/3*p**3 - 1/360*p**6. Let y(m) be the third derivative of x(m). Factor y(f).
-(f - 2)*(f - 1)
Suppose 0*x + 8 = -4*h - 2*x, 0 = -h - x - 4. Let c(q) be the third derivative of 0 + h*q + 2/21*q**3 - 1/84*q**4 - q**2 - 1/210*q**5. What is g in c(g) = 0?
-2, 1
Suppose 4 = 3*k - 2*t, 4*k - 47 = -5*t - 11. Suppose 5*u - 19 = -k. Factor c**5 - c**2 + 0*c**3 - 3*c**4 + 3*c**u + 0*c**4.
c**2*(c - 1)**3
Let r(s) = -s**3 - 5*s**2 + 7*s + 9. Let k be r(-6). Let c + 2*c**k - c - 4*c**4 + 6*c**4 = 0. Calculate c.
-1, 0
Let y(w) = -w**5 + 4*w**4 + 5*w**3 - 5*w**2 + 5. Let r(n) = n**4 + n**3 - n**2 + 1. Let s(p) = -10*r(p) + 2*y(p). Factor s(q).
-2*q**4*(q + 1)
Let u = -29 - -34. Let t(n) be the first derivative of 0*n + 3/2*n**2 + 9/4*n**4 - 3*n**3 - 3 - 3/5*n**u. Factor t(d).
-3*d*(d - 1)**3
Let a be -3 + (-58)/(-18) - 20/(-315). Determine l, given that 2/7*l**5 + 2/7*l**4 - 4/7*l**2 + a - 4/7*l**3 + 2/7*l = 0.
-1, 1
Let t = -3056/51 - -902/15. Let g = -1/85 + t. What is b in 0 + 0*b**2 - g*b**3 + 1/5*b**4 + 0*b = 0?
0, 1
Let b = 8674/813 - 2/813. Let -b*n + 2*n**2 - 14/3*n**4 + 8/3 + 32/3*n**3 = 0. What is n?
-1, 2/7, 1, 2
Factor 0 + 3*l**2 - 15/2*l.
3*l*(2*l - 5)/2
Let w(r) be the first derivative of -r**5/40 + r**4/16 - r**3/24 - 13. Factor w(b).
-b**2*(b - 1)**2/8
Suppose -1/7 - 4/7*i**2 - 5/7*i = 0. What is i?
-1, -1/4
Factor -2/3*i**3 + 1/3*i**2 + 2/3*i + 0 - 1/3*i**4.
-i*(i - 1)*(i + 1)*(i + 2)/3
Let q(k) be the first derivative of -k**6/27 + k**4/9 - k**2/9 + 18. Factor q(v).
-2*v*(v - 1)**2*(v + 1)**2/9
Let g(u) be the second derivative of -u**6/120 + u**4/24 + 4*u**2 - 2*u. Let f(d) be the first derivative of g(d). Suppose f(q) = 0. What is q?
-1, 0, 1
Let f = 2 - 7. Let c(s) = -4*s**2 - 16*s - 8. Let u(x) = 18 - 2 + 32*x - 4 + 4 + 7*x**2. Let t(a) = f*c(a) - 2*u(a). Determine h, given that t(h) = 0.
-2, -2/3
Let t = 8 - 28. Let s = -18 - t. Suppose 1/4*x + 1/4*x**4 - 1/4*x**3 + 0 - 1/4*x**s = 0. Calculate x.
-1, 0, 1
Let k(z) = -12*z**4 - 20*z**3 - 16*z**2 + 4. Let l(o) = o**5 + o**4 + o**3 + o + 1. Let j(p) = k(p) - 4*l(p). Factor j(h).
-4*h*(h + 1)**4
Let g be (-4)/(7 - -1) - 66/(-84). Let -8/7*n**3 - 12/7*n**2 - 8/7*n - g - 2/7*n**4 = 0. Calculate n.
-1
Suppose 0 - 2/7*r**4 + 0*r + 2/7*r**2 + 2/7*r**3 - 2/7*r**5 = 0. Calculate r.
-1, 0, 1
Let b(x) = x**2 + 68*x + 361. Let s(o) = o**2 - o + 1. Let t(i) = b(i) + 2*s(i). Find l, given that t(l) = 0.
-11
Factor 6*d**4 + 4*d**2 - 14*d**4 + 10*d**4 + d**3 - 7*d**3.
2*d**2*(d - 2)*(d - 1)
Let r be (-6)/4*(14 - 8). Let j = r - -11. Factor -d + 3*d - 2*d**3 - j + 0 - 2*d**2 + 4.
-2*(d - 1)*(d + 1)**2
Let k = -23549/5 + 4689. Let l = 21 + k. Find a such that 0*a + l*a**3 + 0*a**2 + 1/5*a**4 + 0 = 0.
-1, 0
Let g(o) be the first derivative of 0*o**2 + 0*o + 0*o**3 - 2/5*o**5 - 1/2*o**4 - 8. Find d, given that g(d) = 0.
-1, 0
Let j(m) be the first derivative of -m**6/6 - 12*m**5/25 - m**4/5 + 2*m**3/3 + 9*m**2/10 + 2*m/5 - 4. Find i, given that j(i) = 0.
-1, -2/5, 1
Suppose -2*h + 3 = -5. Find p, given that -4/3*p + 0 + 10/3*p**h + 16/3*p**3 + 2/3*p**2 = 0.
-1, 0, 2/5
Let 0 + 2/5*j**3 - 4/5*j**2 + 0*j = 0. Calculate j.
0, 2
Find t such that -1156/5 - 4/5*t**2 + 136/5*t = 0.
17
Let q(z) be the second derivative of z**9/52920 + z**8/11760 - z**6/1260 - z**5/420 - 2*z**4/3 + 2*z. Let k(y) be the third derivative of q(y). Factor k(v).
2*(v - 1)*(v + 1)**3/7
Let v be 0 + 3 - ((-16)/(-9) - -1). Determine u so that 0*u - v + 2/9*u**2 = 0.
-1, 1
Let i be (-3)/(-2)*-2 + 7. Let c(h) be the first derivative of -1 - 1/12*h**6 - 1/10*h**5 - 1/4*h**2 - 1/2*h + 1/4*h**i + 1/3*h**3. Find v, given that c(v) = 0.
-1, 1
Factor -8*o**2 - 2*o + 6*o**2 + 0*o**2.
-2*o*(o + 1)
What is y in 0 - 1/4*y + 3/2*y**2 = 0?
0, 1/6
Let c(y) be the third derivative of 2*y**5/15 + 17*y**4/12 + 4*y**3/3 + 12*y**2. Solve c(f) = 0 for f.
-4, -1/4
Let v(b) be the third derivative of -b**9/1512 + b**8/420 - b**6/90 + b**5/60 + b**3/6 + 2*b**2. Let x(y) be the first derivative of v(y). Factor x(p).
-2*p*(p - 1)**3*(p + 1)
Let x(a) be the third derivative of 0*a - 1/3*a**3 - 1/60*a**5 + 