 w(p).
3*(p + 2)**2*(3*p - 1)/4
Let f be (-3 + 7 - 4) + 3. Suppose f*i = -m - 0*m + 4, -2*m + 8 = 0. Suppose 2/3*c**4 - 1/3*c + i + 0*c**3 - 2/3*c**2 + 1/3*c**5 = 0. What is c?
-1, 0, 1
Let a(w) = -2*w - 25. Let i be a(-14). Suppose -i*k - 3*t + 28 = t, -4*t + 8 = -2*k. Factor 36/5*n**3 + 0 + 12/5*n**2 + 0*n + 3*n**k.
3*n**2*(n + 2)*(5*n + 2)/5
Factor 0*v - 2/13*v**4 - 2/13*v**2 - 4/13*v**3 + 0.
-2*v**2*(v + 1)**2/13
Let 0*u**2 + 7*u**2 - 5 + 3*u**4 + 1 + 0 - 4*u + 10*u**3 = 0. What is u?
-2, -1, 2/3
Let a(s) = 74*s**2 + 3*s + 1. Let y be a(-1). Let v be ((-2)/4)/((-45)/y). Let 0 - b**3 + v*b**4 + 0*b + 1/5*b**2 = 0. Calculate b.
0, 1/4, 1
Let s(k) be the second derivative of k**8/112 - k**6/40 + 9*k**2/2 + k. Let u(j) be the first derivative of s(j). What is o in u(o) = 0?
-1, 0, 1
Let j = 1046/1757 - 6/251. Let -6/7*v + 4/7 + 8/7*v**3 - j*v**2 + 0*v**4 - 2/7*v**5 = 0. What is v?
-2, -1, 1
Let z(i) be the second derivative of i**6/135 + i**5/90 - i**4/18 - 5*i**3/27 - 2*i**2/9 - 9*i. Suppose z(l) = 0. What is l?
-1, 2
Suppose 5*f + 4 = -4*t + 31, -24 = -4*f - 4*t. Factor -4*s**2 + 5*s**3 - 2*s - 2*s**2 + 3*s**f.
2*s*(s - 1)*(4*s + 1)
Let w(y) be the third derivative of 1/24*y**3 + 5*y**2 - 1/240*y**5 + 0 + 0*y + 0*y**4. Factor w(b).
-(b - 1)*(b + 1)/4
Let g(k) = -7*k**4 - 8*k**3 + 28*k**2 - 13*k. Let d(h) = 10*h**4 + 12*h**3 - 42*h**2 + 20*h. Let v(u) = -5*d(u) - 8*g(u). Factor v(o).
2*o*(o - 1)*(o + 2)*(3*o - 1)
Let i(h) be the second derivative of 4*h**4/3 - 6*h**3 + 4*h**2 + 12*h. Suppose i(j) = 0. What is j?
1/4, 2
Factor 0*r + 2/11*r**5 + 0 + 4/11*r**2 - 6/11*r**3 + 0*r**4.
2*r**2*(r - 1)**2*(r + 2)/11
Let l(h) = 12*h**4 - 44*h**3 + 52*h**2 - 12*h. Let s(v) = 12*v**4 - 44*v**3 + 51*v**2 - 13*v. Let n(i) = -3*l(i) + 4*s(i). Factor n(d).
4*d*(d - 2)*(d - 1)*(3*d - 2)
Let h(x) be the third derivative of x**8/560 + 2*x**7/175 - x**6/100 - 3*x**5/25 + 9*x**4/40 + 16*x**2. Factor h(c).
3*c*(c - 1)**2*(c + 3)**2/5
Suppose 0 = -4*l - t + 6*t + 41, -28 = -2*l + 4*t. Suppose 4*r - 8 = l. Factor r*g**2 - 2*g**2 + g**2.
2*g**2
Let h(s) be the third derivative of -2*s**2 + 0 - 1/72*s**4 - 1/36*s**3 + 0*s - 1/360*s**5. Factor h(w).
-(w + 1)**2/6
Suppose -2*z**3 - 7*z**5 + 6*z**3 + 3*z**5 = 0. Calculate z.
-1, 0, 1
Let y(v) be the third derivative of -v**6/40 - v**5/40 - 8*v**2. Factor y(r).
-3*r**2*(2*r + 1)/2
Let h be 0 - 1 - (11 - 11). Let p be ((-16)/5 - -3)*h. Suppose -3/5*r - 3/5*r**2 - p*r**3 - 1/5 = 0. Calculate r.
-1
Suppose -21 = -5*h - 6. Let a(m) = -m**4 + 3*m**3 + 3*m**2 + m + 2. Let y(r) = r**4 - 2*r**3 - 3*r**2 - 2*r - 2. Let i(d) = h*a(d) + 4*y(d). Factor i(j).
(j - 2)*(j + 1)**3
Let h(j) be the third derivative of j**6/30 + j**5/5 + j**4/2 + 2*j**3/3 + 8*j**2. Let h(t) = 0. What is t?
-1
Suppose -8*p**2 - p**2 + 8*p**2 + 1 = 0. Calculate p.
-1, 1
Let q = -4 - -9. Suppose -27 = -q*w - 4*l - 4, 4*w - 5*l - 2 = 0. Factor -v**5 + 2*v**w - 6*v**3 + v**4 + 3*v**3 + v**4.
-v**3*(v - 1)**2
Let t = 170/7 + -24. Factor -8/7*j + 6/7*j**2 + t.
2*(j - 1)*(3*j - 1)/7
Let g = 44 + -175/4. Factor 0 + 0*d + 1/4*d**3 + g*d**2.
d**2*(d + 1)/4
Factor 2/13*m**4 + 0*m - 2/13*m**5 + 0 + 2/13*m**3 - 2/13*m**2.
-2*m**2*(m - 1)**2*(m + 1)/13
Let o(q) be the third derivative of 2*q**5/105 - q**4/84 + 14*q**2. Suppose o(j) = 0. Calculate j.
0, 1/4
Let b(k) = -k - 1. Let c(n) = 2*n - 9. Let l(o) = -3*b(o) - c(o). Let i be l(-10). Find j such that i*j**3 + 1/3*j + 0 + 1/3*j**5 - 4/3*j**4 - 4/3*j**2 = 0.
0, 1
Let y(o) be the first derivative of -3 + 4/5*o**2 + 3*o + 4/15*o**3 + 1/30*o**4. Let s(b) be the first derivative of y(b). Suppose s(g) = 0. What is g?
-2
Let g be 0 + (-740)/(-3) + 3. Let f = g - 247. What is w in -2/3 - 5/3*w**5 + 4/3*w**3 + 10/3*w**2 + 1/3*w - f*w**4 = 0?
-1, 2/5, 1
Let u be 2 + (-2)/(-4)*2. Factor -2*x - x + 0*x + u*x**2 - 6.
3*(x - 2)*(x + 1)
Let p(l) be the third derivative of l**8/1848 + l**7/231 + 3*l**6/220 + 7*l**5/330 + l**4/66 - 2*l**2. Solve p(k) = 0 for k.
-2, -1, 0
Let c(u) be the first derivative of 2 - 16/5*u + 1/10*u**4 - 4/5*u**3 + 12/5*u**2. Factor c(v).
2*(v - 2)**3/5
Let z be (-32)/(-18) - 58/(-261). Factor 2/11*g**z + 2/11 + 4/11*g.
2*(g + 1)**2/11
Let u = -44 + 44. Let -2/5*g**4 + 0*g - 2/5*g**2 - 4/5*g**3 + u = 0. Calculate g.
-1, 0
Let m(d) be the first derivative of -2/15*d**3 + 0*d - 4 + 0*d**2. Factor m(z).
-2*z**2/5
Let n(a) = -9*a**3 + a**2 - 1. Let f be n(-1). Suppose f = -m + 4*m. Factor 0 + 2/5*l + 2/5*l**m + 4/5*l**2.
2*l*(l + 1)**2/5
Let o(k) be the second derivative of -8*k**2 - 1/12*k**4 - 4/3*k**3 + 3*k + 0. Factor o(p).
-(p + 4)**2
Let f(g) be the first derivative of 0*g**2 + 3 - g + 1/3*g**3. Let f(h) = 0. Calculate h.
-1, 1
Let g = 1188943/55 - 21616. Let y = 5/11 + g. Suppose 18/5*p**4 - 6/5*p**3 - 16/5*p**2 + y*p + 0 = 0. What is p?
-1, 0, 2/3
Suppose -c = -t, 2*c + 4*t - 15 + 3 = 0. Let z(a) be the second derivative of 0 - 4*a - a**4 + 0*a**c - 1/2*a**3. What is j in z(j) = 0?
-1/4, 0
Let f(s) = 17*s**2 + 19*s + 4. Let k(j) = -j**2 + j + 1. Let r(o) = -f(o) - 2*k(o). Factor r(c).
-3*(c + 1)*(5*c + 2)
Let s(a) be the first derivative of -a**5/10 + 3*a**4/8 - a**2 + 14. Factor s(t).
-t*(t - 2)**2*(t + 1)/2
Factor 4*f**2 + 4/7*f**3 + 24/7*f + 0.
4*f*(f + 1)*(f + 6)/7
Factor 2/11*w**2 + 8/11 + 10/11*w.
2*(w + 1)*(w + 4)/11
Let c(b) = b**3 - 2*b**2 + b - 1. Let r be c(2). Let m be 2*1*17/68. Determine o so that -r + m*o**2 - 1/2*o = 0.
-1, 2
Let z = 163 + -1138/7. Solve 6/7*s + z + 3/7*s**2 = 0 for s.
-1
Let d(k) be the first derivative of -3*k**4/4 + 4*k**3 - 6*k**2 + 5. Factor d(i).
-3*i*(i - 2)**2
Let i(b) = -b**2 - 3*b + 4. Let a(q) = 5*q**2 + 12*q - 17. Let p(c) = -4*a(c) - 18*i(c). Factor p(g).
-2*(g - 2)*(g - 1)
Let p(n) be the second derivative of n**5/90 + 7*n**4/54 + 16*n**3/27 + 4*n**2/3 + 24*n. Determine g, given that p(g) = 0.
-3, -2
Let n = -11 - -13. Factor 0*q**n + 3*q - 2 + 3 - q**2 - 3.
-(q - 2)*(q - 1)
Let f = -2 + 44. Let n = -832/3 - -280. Determine x, given that -1106/3*x**4 + n - 68/3*x + f*x**2 + 245*x**5 + 305/3*x**3 = 0.
-2/5, 2/7, 1/3, 1
Let d(y) be the first derivative of 0*y**3 - 2/9*y**6 + 4/5*y**5 + 0*y - 2/3*y**4 - 6 + 0*y**2. Factor d(m).
-4*m**3*(m - 2)*(m - 1)/3
Factor 2*l - 7*l + l + 7*l**4 - 3*l**3 + 5*l**5 - 7*l**2 + 2*l.
l*(l - 1)*(l + 1)**2*(5*l + 2)
Let o(n) be the first derivative of -4*n**5/5 + 2*n**4 + 4*n**3 - 16*n**2 + 16*n - 14. Factor o(z).
-4*(z - 2)*(z - 1)**2*(z + 2)
Factor 4/9*d + 2/3*d**2 + 2/9*d**3 + 0.
2*d*(d + 1)*(d + 2)/9
Let x(z) = 2*z**2 - 12*z - 14. Let k(m) = -m**2 + 12*m + 13. Let q(r) = 6*k(r) + 5*x(r). Let q(s) = 0. Calculate s.
-2, -1
Let g(v) be the first derivative of -5*v**6/4 + v**5/2 + 25*v**4/24 + 5*v**3/18 + 29. Factor g(a).
-5*a**2*(a - 1)*(3*a + 1)**2/6
Suppose 0 = -m - 4*i - 18, -7*i - 14 = 3*m - 3*i. Determine q so that 3/2*q**m + 1/4 + 1/4*q**4 - q**3 - q = 0.
1
Let j(u) be the second derivative of -u**6/10 - 33*u**5/20 + 13*u**4/4 + 11*u**3/2 - 18*u**2 + 15*u + 2. Determine q so that j(q) = 0.
-12, -1, 1
Let m be 6 + -2 + -1 + 3. Suppose -z = 4*z + 5*b, -2*b = 5*z - m. Factor -l**4 + 2*l + l**4 + 6*l**3 - 6*l**2 - z*l**4.
-2*l*(l - 1)**3
Let p(g) be the first derivative of -g**6/12 - 2*g**5/5 - 5*g**4/8 - g**3/3 - 7. Suppose p(k) = 0. Calculate k.
-2, -1, 0
Let z be 39/45 + (-1)/5. Let l = 0 + z. Suppose 5/3*r**2 - l*r**5 + 8/3*r**3 - 4*r - r**4 + 4/3 = 0. Calculate r.
-2, 1/2, 1
Let h be 4/16 - 102/4. Let f = 26 + h. Let 1/4*n**2 - f*n**3 + 0 - 1/4*n**5 + 3/4*n**4 + 0*n = 0. Calculate n.
0, 1
Factor 12 - 4*c**2 - 8*c**2 + 3*c - 6*c - 3.
-3*(c + 1)*(4*c - 3)
Suppose 3*k - 3*x + 7*x = 35, 4*x - 40 = -4*k. Suppose -7*a = -k*a. What is r in -6/5*r**5 - 2*r**4 + a + 4/5*r + 2/5*r**3 + 2*r**2 = 0?
-1, -2/3, 0, 1
Let z(t) be the third derivative of -7*t**2 + 1/60*t**5 + 0*t**3 - 1/12*t**4 + 0 + 0*t. Suppose z(g) = 0. Calculate g.
0, 2
What is v in -v**4 + 2/7*v - 12/7*v**3 - 3/7*v**2 + 0 = 0?
-1, 0, 2/7
Find n, given that 2*n**2 - 12 + 225*n + 236*n - 471*n = 0.
-1, 6
Let z(p) = 2*p**2 + 6*p - 5. Let m be z(-4). Let n(l) be the first derivative of 1/15*l**m - 2 + 0*l - 1/10*l**2. Factor n(s).
s*(s - 1)/5
Solve 80*p + 102*p**2 - 320 - 52*p**2 - 55*p**2 = 0 for p.
8
Let v(t) = -t**4 + t + 1. Let i(g) = -7*g**5 - 35*g**4 - 50*g**3 -