-18))/(4/(-18)). Let m = -835/4 + 209. Factor 3/4*w - m*w**2 - 1/4*w**4 - q*w**3 + 1/2.
-(w - 1)*(w + 1)**2*(w + 2)/4
Suppose -5*k + 30 = -m, -2*k - 4*m - 40 = -6*k. Suppose 3*p - 18 = 4*u, 0*p - 12 = -2*p + u. Let -p*d + 2 + 4*d**2 - k*d**3 + 3*d**3 + 2*d**2 = 0. What is d?
1
Suppose -2 - 2*p**4 + 4*p**2 + 2*p - 2*p + 0*p**2 = 0. What is p?
-1, 1
Let i(f) = -f**4 - 9*f**3 - 2*f**2 - 6*f - 6. Let k(j) = -11 + 1 - 3*j**4 - 17*j + 5 - 6*j**2 - 12 - 26*j**3. Let a(n) = 17*i(n) - 6*k(n). Solve a(w) = 0.
-2, -1, 0
Let z be 2*(-1)/2*-5. Let h(q) be the third derivative of 0*q**3 + 0*q + 1/60*q**z + 2*q**2 - 1/210*q**7 + 1/24*q**4 - 1/120*q**6 + 0. Factor h(x).
-x*(x - 1)*(x + 1)**2
Let g be 0 + (-2)/(-4)*4. Let z be (-2)/(-1)*((-806)/91 + 9). Suppose 2/7*b**g + 0 + z*b = 0. What is b?
-1, 0
Let t(z) = -3*z**2 + 4*z - 2. Let w(h) = 13*h**2 - 9*h + 5. Let n(m) = 14*m**2 - 9*m + 5. Let s(b) = -6*n(b) + 7*w(b). Let l(v) = -2*s(v) - 5*t(v). Factor l(p).
p*(p - 2)
Let k(c) be the second derivative of -c**4/12 - 5*c**3/6 - 2*c**2 + 8*c. Determine r so that k(r) = 0.
-4, -1
Let s = 8 - -2. Suppose -2*q + s = 3*q. Factor -2/7*r - 2/7*r**q + 2/7*r**3 + 2/7.
2*(r - 1)**2*(r + 1)/7
Suppose 5*j = -4*p - 18, 0*p = 3*p - 9. Let u(o) = 8*o**2 + 7*o - 1. Let d(r) = -r**2 + 1. Let n(f) = j*d(f) - 2*u(f). Factor n(h).
-2*(h + 1)*(5*h + 2)
Let p(x) be the second derivative of -x**6/6 - x**5/2 + 5*x**4/12 + 5*x**3/3 + 12*x. Suppose p(r) = 0. Calculate r.
-2, -1, 0, 1
Let v(i) be the second derivative of 0 - 1/42*i**4 + 0*i**3 - 1/35*i**6 - 1/147*i**7 + 3*i - 3/70*i**5 + 0*i**2. Factor v(m).
-2*m**2*(m + 1)**3/7
Let s(w) = w + 7. Let v be s(-5). Suppose 0 = 4*d - y - 12, v*d - 2*y - 6 = 3*y. Determine a, given that 4*a**2 + a**3 - 4*a**3 - 2*a + a**d = 0.
0, 1
Let p(x) be the third derivative of -x**7/420 - x**6/60 - x**5/24 - x**4/24 + 19*x**2. Factor p(s).
-s*(s + 1)**2*(s + 2)/2
Suppose 4*v = -0*s - s - 1, 5 = 5*v - 5*s. What is f in -2/3*f**2 - 4/3*f**5 + 2*f**4 + 0*f**3 + 0 + v*f = 0?
-1/2, 0, 1
Let p be 5 + 4/2 - -1. Factor -3*b**2 + 0*b**2 + 4 + 8*b**4 - 9*b**2 + 6*b**5 + 2*b - p*b**3.
2*(b - 1)*(b + 1)**3*(3*b - 2)
Suppose -2*s - 7*o + 26 = -2*o, 3*o = -4*s + 66. Let h = -14 + s. Factor -4/3*t**2 - 2/3*t**h + 7/3*t**3 + 0 - 4/3*t.
-t*(t - 2)**2*(2*t + 1)/3
Suppose -5*y + 4*d + 17 = -0*d, -y + 5*d = 5. Factor -4*k**4 - 18 + 18 + y*k**4.
k**4
Let c be ((-28)/12 - -2)*(-18)/8. Factor c*v**2 - 2*v + 1.
(v - 2)*(3*v - 2)/4
Let k(j) = -29*j**4 + 15*j**3 + 9*j**2 + 2*j - 14. Let n(g) = -10*g**4 + 5*g**3 + 3*g**2 + g - 5. Let q(o) = 6*k(o) - 17*n(o). Solve q(c) = 0.
-1, 1/4, 1
Let j(o) be the third derivative of -o**6/30 + o**4/6 + 3*o**2 + 4. Factor j(i).
-4*i*(i - 1)*(i + 1)
Let u be ((1 + -1)*-1)/1. Suppose u*i - 6 = -i. Let z(c) = -c - 1. Let b(m) = 2*m**2 - 8*m - 6. Let v(h) = i*z(h) - b(h). Solve v(q) = 0 for q.
0, 1
Suppose 10*y = 6 + 14. Factor 2/9*s**2 - 4/3*s + y.
2*(s - 3)**2/9
Let g = 14 + -11. Let f = g + 1. What is s in -2*s - f*s - 3 - 3*s**2 + 16*s - 4*s = 0?
1
What is y in -14/5*y + 2/5*y**5 + 4/5*y**2 - 2*y**4 + 12/5*y**3 + 6/5 = 0?
-1, 1, 3
Let b = 61 - 89. Let a be ((-16)/(-14))/((-12)/b). Determine i so that -a - 2/3*i**2 - 8/3*i = 0.
-2
Let y(i) be the first derivative of -i**5/18 - i**4/27 + 5*i**3/27 + 2*i**2/9 + 4*i - 2. Let l(a) be the first derivative of y(a). Factor l(g).
-2*(g - 1)*(g + 1)*(5*g + 2)/9
Let l be ((-12)/20)/(1/(-5)). Let b(o) be the first derivative of 8*o - 4*o**2 + 2/3*o**l + 1. Suppose b(k) = 0. Calculate k.
2
Let l(q) be the first derivative of -4*q**5/5 - 4*q**4 - 4*q**3/3 + 12*q**2 + 23. Factor l(v).
-4*v*(v - 1)*(v + 2)*(v + 3)
Let x be (18/(-27))/(2/(-6)). Find v, given that 2*v + v**4 + 0*v + 8*v**3 - 10*v**2 + x*v - 3*v**4 = 0.
0, 1, 2
Let p be (0/(-1) + -1)*-5. Let r(y) = -y**2 - 4*y - 1. Let i be r(-3). Factor -2*v**p - 2*v**4 - i*v**4 - 2*v**3 + 8*v**4.
-2*v**3*(v - 1)**2
Let d(l) be the first derivative of l**6/30 + l**5/25 - l**4/10 - 2*l**3/15 + l**2/10 + l/5 + 5. Factor d(w).
(w - 1)**2*(w + 1)**3/5
Let w(d) be the third derivative of -d**5/6 - d**4/3 - 4*d**3/15 + 12*d**2. Factor w(l).
-2*(5*l + 2)**2/5
Let u be 116/(-6)*25/(-40). Let i = 37/3 - u. Solve 1/4*m**5 + 0*m**2 + i*m + 0*m**4 + 0 - 1/2*m**3 = 0.
-1, 0, 1
Let s(r) = -69*r**2 + 84*r - 21. Let l(b) = 139*b**2 - 169*b + 43. Let i(p) = -6*l(p) - 11*s(p). Find n such that i(n) = 0.
3/5
Let f(b) = -b**2 + 9*b + 3. Let j be f(9). Let d(m) be the third derivative of -1/96*m**4 + 0 - 1/120*m**5 + 0*m**j - m**2 + 0*m. Factor d(l).
-l*(2*l + 1)/4
Let m = 4 + 8. Let a(u) = 3*u + 75. Let g be a(-25). Let m*n**2 + g + 0 - 6 + 3 + 9*n = 0. What is n?
-1, 1/4
Let p be (0 - (-20)/(-45))*-3. Factor 10/3*f + 8/3*f**2 + p + 2/3*f**3.
2*(f + 1)**2*(f + 2)/3
Factor -45 + 33 - u - 14*u**2 + 47*u.
-2*(u - 3)*(7*u - 2)
Let y be (0 - 0)/(-1 + 0). Let g(o) be the second derivative of -o + 0 + 1/6*o**4 + 0*o**2 + 0*o**5 - 1/15*o**6 + y*o**3. Suppose g(r) = 0. What is r?
-1, 0, 1
Let d be (-3)/(-12) - (-22)/8. Let l(n) be the first derivative of -1/3*n**d + 1/4*n**4 - 1/2*n**2 - 2 + n. Find u such that l(u) = 0.
-1, 1
Let m(y) be the second derivative of -y**5/180 - y**4/9 - 8*y**3/9 - y**2/2 - 3*y. Let t(q) be the first derivative of m(q). Factor t(f).
-(f + 4)**2/3
Let j(t) be the second derivative of -2*t**7/21 + 4*t**6/15 - 2*t**4/3 + 2*t**3/3 - 13*t. Determine v so that j(v) = 0.
-1, 0, 1
Factor -15*r**3 - 96*r + 51*r + 69*r + 21*r**2 - 12.
-3*(r - 2)*(r + 1)*(5*r - 2)
Let o(y) be the third derivative of 1/105*y**7 + 0*y**3 + 1/6*y**5 - 1/15*y**6 + 0*y - 1/6*y**4 + 0 + 4*y**2. Find p such that o(p) = 0.
0, 1, 2
Let n(m) be the first derivative of -2*m + 1/5*m**2 - 2 + 1/30*m**4 + 2/15*m**3. Let z(x) be the first derivative of n(x). Factor z(g).
2*(g + 1)**2/5
Let c be 4 - 52/12 - (-15)/18. Let o(i) be the first derivative of -i + c*i**4 + 0*i**3 - 2 - i**2 + 1/5*i**5. Factor o(u).
(u - 1)*(u + 1)**3
Let q be 5*(-2)/(10/(-3)). What is g in 2*g**3 - g**q - 4*g**2 - 5*g**3 = 0?
-1, 0
Let z(l) be the second derivative of l**4/48 - l**3/4 + 9*l**2/8 - 7*l. Factor z(y).
(y - 3)**2/4
Let w(b) = -3*b**2 - 3*b - 4. Let a be w(-4). Let p be a/(-22) + (-4)/(-22). Factor 15*i**2 + 2*i - 3*i**4 - i**4 - 23*i**p + 11*i**3 - i**3.
-2*i*(i - 1)**2*(2*i - 1)
Let w(o) = 9*o**3 - 30*o**2 - 30*o + 9. Let f(j) = j**3 - 3*j**2 - 3*j + 1. Let n(p) = 21*f(p) - 2*w(p). Let n(i) = 0. Calculate i.
-1, 1
Let h(w) = w**2 - 5*w - 6. Suppose 2*x - 10 = m, -6*x = -3*x - m - 16. Let l(z) = -3*z**2 + 14*z + 17. Let p(d) = x*l(d) + 17*h(d). Factor p(b).
-b*(b + 1)
Let u be 8 + (6/(-2))/1. Factor -3*v**2 + v**2 + 9*v**u - 3*v + 16*v**4 + 3*v + 5*v**3.
v**2*(v + 1)**2*(9*v - 2)
Let g(f) be the first derivative of f**6/2 + 21*f**5/5 + 57*f**4/4 + 25*f**3 + 24*f**2 + 12*f - 7. Factor g(o).
3*(o + 1)**3*(o + 2)**2
Let o(a) be the first derivative of -44*a**3/3 + 12*a**2 + 64. Factor o(x).
-4*x*(11*x - 6)
Let o(g) = -5*g**3 + g**2 - 2*g + 4. Let d(x) = x**3 - x**2 - 1. Let y(h) = -4*d(h) - o(h). Factor y(m).
m*(m + 1)*(m + 2)
Let c be (-4)/(-6)*(-6)/4. Let s be (c/4)/((-9)/12). Factor 1/3*l - s*l**2 + 0.
-l*(l - 1)/3
Let u be 9/2*((-20)/(-12) - 1). Factor -5/4*m**u + 0 + 7/4*m**2 - 1/2*m.
-m*(m - 1)*(5*m - 2)/4
Let r = 2606/33 + -810/11. Let -r*k + 4/3*k**2 + 16/3 = 0. Calculate k.
2
Let 13*w - 8*w**3 - 35*w**2 - 5*w**4 + 23*w**3 + 2*w + 10*w**3 = 0. Calculate w.
0, 1, 3
Let k(c) be the first derivative of -c**3/15 + c**2/10 + 2*c/5 - 3. Factor k(d).
-(d - 2)*(d + 1)/5
Let w(u) be the second derivative of u**7/2520 + u**6/960 - u**5/480 - 5*u**4/12 + 6*u. Let o(b) be the third derivative of w(b). Factor o(q).
(q + 1)*(4*q - 1)/4
Let c be (-3*((-2)/4 - -1))/(-18). Let o(p) be the second derivative of -c*p**3 - 1/24*p**4 + 3*p + 1/4*p**2 + 1/40*p**5 + 0. What is f in o(f) = 0?
-1, 1
Let 1/4*u**3 - 3/4 + 7/4*u - 5/4*u**2 = 0. Calculate u.
1, 3
Let i(v) be the third derivative of v**8/840 - v**7/420 - v**6/180 + v**5/60 - v**3/6 + 2*v**2. Let z(h) be the first derivative of i(h). Factor z(f).
2*f*(f - 1)**2*(f + 1)
Determine v, given that -2/7 + 8/7*v**2 + 5/7*v**3 + 1/7*v = 0.
-1, 2/5
Let r(p) be the second derivative of p**5/70 - p**4/42 + 8*p. Let r(y) = 0. Calculate y.
0, 1
Let j = 2605/4 + -651. Solve 1/4*i +