p) = 0. Calculate p.
-1, -2/3, 1
Let u(s) = 2*s**2 + 2*s + 4. Let h be u(0). Factor -1/2*b**2 + 1/2*b**3 + 0 + 0*b + 1/2*b**h - 1/2*b**5.
-b**2*(b - 1)**2*(b + 1)/2
What is r in 8*r**2 - 2/9*r**3 + 384 - 96*r = 0?
12
Let v = 10 + -5. Let i(q) be the third derivative of 0 - 1/2*q**4 - q**2 + 0*q + 1/10*q**v - 1/120*q**6 + 4/3*q**3. Factor i(h).
-(h - 2)**3
Let h(c) = -c**2 - 4*c. Let j be h(-3). Factor -x**4 + 2 - x**3 + 3*x**2 + 0*x**4 + 5*x + 3*x**3 - 3*x**j.
-(x - 2)*(x + 1)**3
Let n(q) = -5*q**4 + 3*q**3 + 5*q**2 + q + 4. Let b(i) = -i**4 + i**3 + i**2 + 1. Let m(f) = -12*b(f) + 3*n(f). Let m(o) = 0. What is o?
-1, 0, 1
Let g(a) be the first derivative of 2*a**5/5 + 5*a**4/14 + 2*a**3/21 - 4*a - 4. Let v(w) be the first derivative of g(w). Factor v(y).
2*y*(4*y + 1)*(7*y + 2)/7
Let b(z) be the second derivative of -z**5/20 + 3*z**4/4 - z**3 - 5*z**2 + z. Let i be b(8). Let 0*j**2 - 5*j + i*j + j**2 = 0. What is j?
-1, 0
Let k be 2/3 - (-2455)/15. Let x = 167 - k. Determine s, given that -4*s**3 + 0 - 2/3*s + 8/3*s**4 + x*s**2 - 2/3*s**5 = 0.
0, 1
Let h(a) be the first derivative of a**6/6 + 2*a**5/5 - a**4/2 - 4*a**3/3 + a**2/2 + 2*a + 7. Suppose h(i) = 0. What is i?
-2, -1, 1
Let o(h) = -h**3 + 4*h**2 + 9*h - 12. Let z be o(5). Let b be ((-2)/(-8))/(z/64). Factor 2/7*g + 4/7*g**4 - 6/7*g**3 + 0 + 0*g**b.
2*g*(g - 1)**2*(2*g + 1)/7
Let v be 16/4 - (-2 - 74). Let i be v/6*1/3. Factor -i*b + 0*b**4 - 6*b**5 + 16/9 - 20/9*b**2 + 10*b**3.
-2*(b + 1)**2*(3*b - 2)**3/9
Suppose 16 = -4*r + p, -3*r + 5*r - 3*p - 2 = 0. Let g be ((-6)/16)/(r/10). Determine l, given that -l**3 + 1/2 + 0*l**4 - 1/2*l**2 + g*l + 1/4*l**5 = 0.
-1, 1, 2
Find v, given that 2*v**3 + 3*v**3 + 189*v - 194*v = 0.
-1, 0, 1
Let l = 561 + -2239/4. Determine u, given that 1 + l*u**2 - 2*u - 1/4*u**3 = 0.
1, 2
Let w = 7 + -5. Let o be ((-1)/w)/(4/(-16)). Factor 3*p**3 + p + 6*p**2 + 3*p**3 + o*p**4 + p.
2*p*(p + 1)**3
Let d(s) = -4*s**3 - 3*s**2 + 7*s + 5. Let t(u) = u**2 - u - 1. Let r(i) = -d(i) - 5*t(i). Determine c, given that r(c) = 0.
-1/2, 0, 1
Let m(d) be the third derivative of d**6/30 - 7*d**4/6 - 4*d**3 - 28*d**2 + 2. Factor m(a).
4*(a - 3)*(a + 1)*(a + 2)
Let t = -536 - -538. Find i such that -2/5*i**4 - 4/5*i + 0 + 2/5*i**t + 4/5*i**3 = 0.
-1, 0, 1, 2
Let h(l) be the third derivative of -l**7/735 - l**6/42 - 6*l**5/35 - 9*l**4/14 - 9*l**3/7 + 23*l**2. Factor h(c).
-2*(c + 1)*(c + 3)**3/7
Let b(j) = -j**4 - 11*j**3 - 27*j**2 - 29*j - 19. Let r(s) = -s**4 - 10*s**3 - 26*s**2 - 30*s - 18. Let t(w) = -4*b(w) + 6*r(w). Factor t(d).
-2*(d + 2)**4
Let s(j) = 3*j**4 + 10*j**3 - 9*j**2 + 4*j - 4. Let p(h) = -h**4 - h**3 - h + 1. Let n(i) = 4*p(i) + s(i). Let n(c) = 0. Calculate c.
0, 3
Factor -5*y**2 + y - 22*y + 48*y - 7*y.
-5*y*(y - 4)
Determine r so that 266/3*r**3 + 14*r**5 - 8/3*r + 16/3 - 184/3*r**4 - 44*r**2 = 0.
-2/7, 2/3, 1, 2
Let w(c) = -c**3 + c**2 - c + 2. Let o be w(0). Factor -1 - l - o + 0*l + l**2 + 3*l.
(l - 1)*(l + 3)
Let x(j) = j**5 - 9*j**4 + 16*j**2 - j + 7. Let t(p) = p**5 - 5*p**4 + 8*p**2 - p + 3. Let s(n) = 7*t(n) - 3*x(n). Factor s(m).
4*m*(m - 1)**3*(m + 1)
Let n = 15 + -10. Find u, given that -5*u**4 - 6*u**n + 8*u**5 + 5*u**4 = 0.
0
Let r(w) be the third derivative of 7*w**5/180 - w**4/8 + w**3/9 - 7*w**2. Factor r(y).
(y - 1)*(7*y - 2)/3
Let d(x) be the first derivative of 1/90*x**5 - 1/72*x**4 - 1/3*x**3 + 2 + 0*x**2 + 0*x - 1/360*x**6. Let k(l) be the third derivative of d(l). Factor k(c).
-(c - 1)*(3*c - 1)/3
Find j such that 2*j - 4*j**4 - 2*j**5 + 51*j**2 - 47*j**2 + 0*j**5 = 0.
-1, 0, 1
Let c(b) be the second derivative of b**7/3360 + b**6/240 + b**5/40 - b**4/4 - b. Let x(o) be the third derivative of c(o). Factor x(l).
3*(l + 2)**2/4
Factor 4/15*x**2 - 2/15*x + 0 - 2/15*x**3.
-2*x*(x - 1)**2/15
Let b(z) be the second derivative of z**6/2 - 11*z**5/4 + 25*z**4/4 - 15*z**3/2 + 5*z**2 - 17*z. Factor b(f).
5*(f - 1)**3*(3*f - 2)
Let v(x) = x**4 + x**3 - x**2 + x. Let t(f) = -5*f**4 + 10*f**2 - 20*f - 5. Let h(q) = -t(q) - 10*v(q). Factor h(r).
-5*(r - 1)*(r + 1)**3
Suppose -5*i + 30 = -3*g, 0*g + 4*g = -2*i + 12. Suppose -a + 12 = -j - i*a, 3*j + 4*a + 3 = 0. Factor -2*p**2 + 5*p**2 + p**4 - 2*p**j + 2*p - 4*p**2.
p*(p - 2)*(p - 1)*(p + 1)
Let t be 5/2 - (-2)/(-4). Factor 2*w**3 - 2*w**2 - 2*w + 2*w**t - 2*w - 2*w**2.
2*w*(w - 2)*(w + 1)
Factor 1/3*l**2 + 5/3*l + 0.
l*(l + 5)/3
What is b in 33/5*b + 2 - 7/5*b**2 = 0?
-2/7, 5
Let b be 2/7 + 15/70. Factor 1/2*m**4 - m**3 + m + 0*m**2 - b.
(m - 1)**3*(m + 1)/2
Let v(t) = 7*t**2 + 10*t. Let r(i) = -7*i - 6*i**2 + 0*i - 2*i. Suppose -17 = -5*m + 3*s + 10, -4*m = -5*s - 32. Let j(d) = m*v(d) + 4*r(d). Factor j(b).
-3*b*(b + 2)
Let l(r) be the first derivative of -r**3/9 - r**2/2 - 2*r/3 + 6. Factor l(n).
-(n + 1)*(n + 2)/3
Let k(a) be the third derivative of 0*a - 7*a**2 + 0 + 0*a**6 - 1/70*a**7 + 1/16*a**4 + 0*a**3 + 1/20*a**5 - 1/224*a**8. Find p, given that k(p) = 0.
-1, 0, 1
Factor -13*r**2 - 35*r**3 - 2*r**2 + 5*r**2.
-5*r**2*(7*r + 2)
Let s(q) = 7*q**3 + 13*q**2 - 4*q - 7. Let g(m) = 14*m**3 + 27*m**2 - 9*m - 15. Let r(o) = -3*g(o) + 7*s(o). Let r(n) = 0. Calculate n.
-1, 4/7
Let l be 2/16*(2 + 0). Let y(r) = -r**2 + 2*r + 35. Let a be y(7). Factor -3/4*x**2 - l*x**4 + a + 3/4*x**3 + 1/4*x.
-x*(x - 1)**3/4
Suppose -39*n - 34*n**3 - 10*n**5 + 7*n**4 + 26*n + 21*n + 29*n**4 = 0. Calculate n.
-2/5, 0, 1, 2
Suppose 2*n - 2*f - 48 + 12 = 0, 2*n + 3*f = 26. Let u be (n/(-20))/(1/(-5)). Let -20/7*m**u - 4/7*m + 0 - 38/7*m**3 - 22/7*m**2 = 0. Calculate m.
-1, -1/2, -2/5, 0
Let q(y) be the second derivative of -3*y**5/20 + y**4/2 + y**3/2 - 3*y**2 - 11*y. Factor q(g).
-3*(g - 2)*(g - 1)*(g + 1)
Factor -4/9 - 2/3*s - 2/9*s**2.
-2*(s + 1)*(s + 2)/9
Let v(c) be the second derivative of 4*c + 0 - 1/30*c**4 + 0*c**2 - 1/50*c**5 + 0*c**3. Factor v(d).
-2*d**2*(d + 1)/5
Suppose 4*p - 8*p + 36 = 0. Let w be (-6)/9*p/(-2). Suppose 22/5*b - 162/5*b**4 + 54/5*b**5 - 2/5 - 92/5*b**2 + 36*b**w = 0. Calculate b.
1/3, 1
Let w be 2 + -4 - 112/(-3). Let n = w + -35. Factor -n*j - 1/3*j**4 + 0 + 1/3*j**2 + 1/3*j**3.
-j*(j - 1)**2*(j + 1)/3
Let q(v) = -2*v**4 - 9*v**3 + v**2 + 6*v + 4. Let y(k) = -2*k**4 - 8*k**3 + 6*k + 4. Let l(c) = 4*q(c) - 6*y(c). Solve l(z) = 0 for z.
-2, -1, 1
Let b be (-1)/(9/(-21)) - (-1)/(-3). Let i(c) be the third derivative of 1/20*c**4 + 0*c + 2/15*c**3 + 0 - 3*c**b + 1/150*c**5. Factor i(d).
2*(d + 1)*(d + 2)/5
Let g(x) = 4*x**2 - 8*x + 13. Let m(r) = 11*r**2 - 24*r + 40. Let p(w) = -8*g(w) + 3*m(w). Factor p(u).
(u - 4)**2
Let t(l) be the first derivative of -7*l**4/8 + l**3/3 + 7*l**2/4 - l + 9. Factor t(n).
-(n - 1)*(n + 1)*(7*n - 2)/2
Let y(d) = -11*d**4 - 2*d**3 + 7*d**2 - 6*d + 4. Let j(f) = -21*f**4 - 3*f**3 + 14*f**2 - 11*f + 7. Let g(c) = -4*j(c) + 7*y(c). Factor g(z).
z*(z - 1)*(z + 1)*(7*z - 2)
Determine r so that -3*r**3 + 0 + 7/3*r**2 - 1/3*r**5 + 5/3*r**4 - 2/3*r = 0.
0, 1, 2
Let p be (-418)/84 - -2 - -3. Let h(f) be the second derivative of 0*f**4 - p*f**7 - 3*f + 0*f**5 + 0 - 1/30*f**6 + 0*f**3 + 0*f**2. Factor h(r).
-r**4*(r + 1)
Let g(k) = k**3 + k + 1. Let m be (1/(-3))/((-1)/6). Let r(b) = -5*b**3 - b**2 + b - 1. Let i(p) = m*g(p) + r(p). Suppose i(y) = 0. Calculate y.
-1, -1/3, 1
Let t = 14 + -5. Factor -36*g - 17*g**3 - t + 1 - g**3 + 3*g**3 - 46*g**2.
-(g + 2)*(3*g + 2)*(5*g + 2)
Let o be (3/(-9) + 0)/(-1). Suppose -12*c = -10*c - 4. Factor 1/3*l + 0 + 2/3*l**c + o*l**3.
l*(l + 1)**2/3
Let s(t) be the third derivative of t**10/30240 - t**9/7560 + t**8/6720 + t**4/24 + 2*t**2. Let w(v) be the second derivative of s(v). Factor w(n).
n**3*(n - 1)**2
Let k(l) be the third derivative of l**9/83160 + l**8/9240 + l**7/3465 - 5*l**4/24 + l**2. Let v(b) be the second derivative of k(b). Factor v(c).
2*c**2*(c + 2)**2/11
Determine r, given that 0*r**2 + 3/5*r + 2/5 - 1/5*r**3 = 0.
-1, 2
Let v(b) be the third derivative of b**7/840 - b**5/120 + b**3/24 - 2*b**2. Let v(f) = 0. Calculate f.
-1, 1
Suppose 0 = 2*i + 35 + 9. Let j be 4/i - 10/(-55). Solve 2/5*h**3 + 0 - 1/5*h + j*h**4 + 0*h**2 - 1/5*h**5 = 0.
-1, 0, 1
Let d(w) be the third derivative of w**7/70 + w**6/15 + w**5/20 - w**4/12 - 19*w**2. Factor d(t).
t*(t + 1)*(t + 2)*(3*t - 1)
Let a(h) be the first derivative of 10