+ -2)/((-4)/6). Suppose -c*f = -8 - 1. Suppose -6 + 3*y**3 - f*y + 7*y**2 - 5*y**2 + 8*y**2 - y**2 - 3*y**4 = 0. Calculate y.
-1, 1, 2
Let r = 305 + -298. Let k(w) be the third derivative of 0*w**3 + 0*w + 2*w**2 + 1/80*w**6 - 1/420*w**r + 0 + 1/48*w**4 - 1/40*w**5. Factor k(h).
-h*(h - 1)**3/2
Let r(p) be the second derivative of -p**6/120 - 3*p**5/40 - p**4/4 + 9*p**3/2 - 17*p. Let y(l) be the second derivative of r(l). Factor y(i).
-3*(i + 1)*(i + 2)
Suppose -29*d - 109 + 109 = 16*d. Factor -1/4*l**3 + d - 1/4*l - 1/2*l**2.
-l*(l + 1)**2/4
Let f(d) be the third derivative of -d**8/5880 - d**7/980 + d**5/105 - 11*d**3/6 - 2*d**2. Let o(j) be the first derivative of f(j). Factor o(z).
-2*z*(z - 1)*(z + 2)**2/7
Let b = 299/1071 + 1/153. Factor 2/7*q**4 + 0 - b*q + 6/7*q**2 - 6/7*q**3.
2*q*(q - 1)**3/7
Let a(t) be the first derivative of -153/5*t**5 - 9/2*t**6 - 89*t**3 - 309/4*t**4 - 12*t - 7 - 48*t**2. What is k in a(k) = 0?
-2, -1, -1/3
Suppose 0*u**3 - 5*u**3 - 7*u - u**3 - 8*u**2 + 5*u**3 = 0. Calculate u.
-7, -1, 0
Let 1/7*q**5 - 4/7*q**3 + 0 + 2/7*q**2 + 3/7*q - 2/7*q**4 = 0. Calculate q.
-1, 0, 1, 3
Let c = 26 - 46. Let w be 4/(-3)*30/c. Factor 0*y**2 + 5 - 7*y + y**w - 2 + 3*y.
(y - 3)*(y - 1)
Factor -18 - 165*l**2 - 9*l**3 - 88*l + 0 + 85*l**2 - 4*l**3 - 41*l.
-(l + 3)**2*(13*l + 2)
Suppose p - 6 = 3*z, -3*z - 9 = -2*p - 3. Let o(a) be the third derivative of -1/54*a**4 + 0 + 0*a**3 + 1/30*a**5 + p*a + 8*a**2. Factor o(y).
2*y*(9*y - 2)/9
Solve 4/3*f**4 - 4*f + 4*f**3 - 44/3*f**2 + 40/3 = 0.
-5, -1, 1, 2
Determine o so that -11 + 3*o + 1 + 28*o**4 - 15 + 10*o**3 - 60*o**2 - 23*o**4 + 67*o = 0.
-5, 1
Let c(q) be the third derivative of 1/15*q**5 + 0*q + 48*q**2 + 0 + 0*q**3 - q**4. What is k in c(k) = 0?
0, 6
Factor 24*s**2 - 4*s**5 - 18*s**3 + 9*s + 36*s**3 + s**5.
-3*s*(s - 3)*(s + 1)**3
Suppose 2*u + 3*x = 6, -6*u + 2*x - 1 + 19 = 0. Find w, given that 0 + 1/7*w + 1/7*w**4 + 3/7*w**2 + 3/7*w**u = 0.
-1, 0
Suppose v - 5*w - 5 = -2, -4*v - 11 = 3*w. Let r be (-11 - -9)*3/v. Determine h so that 3*h**4 - h**3 + 3*h**5 - 2*h**3 - 3*h**2 + 0*h**r = 0.
-1, 0, 1
Let -5/2*n - 3*n**3 + 0 - 6*n**2 + 3/2*n**5 + 2*n**4 = 0. What is n?
-1, 0, 5/3
Suppose 0 = 3*q - 7 + 1. Suppose -3*v - v - 30 = -5*m, q*m = 5*v + 29. Factor 5/3*c**m - 4/3 + 8/3*c.
(c + 2)*(5*c - 2)/3
Let d(b) be the third derivative of -b**7/210 + 3*b**6/20 - 9*b**5/5 + 9*b**4 + 15*b**2. Determine u so that d(u) = 0.
0, 6
Let w(q) = -3*q - 9. Let r be w(-4). Solve u**2 - 103*u**4 - u**5 + 12*u**r - 3*u**5 + 107*u**4 - 21*u**2 + 8*u = 0.
-2, 0, 1
Suppose 0 = 3*g - 10*g - 5544. Let c be 2/(-5) - 0 - g/480. Factor 0*a**2 + 5/4*a**3 + 0 - c*a.
5*a*(a - 1)*(a + 1)/4
Let f(s) be the second derivative of -s**9/2520 + s**8/1680 - 5*s**4/4 + 15*s. Let q(u) be the third derivative of f(u). What is a in q(a) = 0?
0, 2/3
Let m(t) be the third derivative of t**8/168 - t**7/105 - 17*t**6/12 - 55*t**5/6 + 61*t**2 + 3. Factor m(r).
2*r**2*(r - 11)*(r + 5)**2
Let d(c) be the first derivative of 1/6*c**4 + 4/3*c + 13 + 5/3*c**2 + 8/9*c**3. Suppose d(n) = 0. Calculate n.
-2, -1
Let d(w) be the first derivative of 98*w**6/9 - 812*w**5/15 + 184*w**4/3 - 64*w**3/3 + 191. Suppose d(c) = 0. Calculate c.
0, 4/7, 3
Factor -2*z**3 - z**3 + z**3 - 32*z - 851*z**2 + 885*z**2.
-2*z*(z - 16)*(z - 1)
Let 0 + 16/3*d**5 + 756*d**3 + 332/3*d**4 - 1372/3*d + 4900/3*d**2 = 0. What is d?
-7, 0, 1/4
Let n be 15 - (-30)/(-18) - 13. Factor -n*f**2 - 4/3*f - 4/3.
-(f + 2)**2/3
Let b(k) be the third derivative of k**7/420 + 47*k**6/240 + 3*k**5/4 + 554*k**2. Factor b(c).
c**2*(c + 2)*(c + 45)/2
Let j(r) be the third derivative of 0 + 0*r**3 + 1/60*r**6 + 0*r + 21*r**2 - 7/270*r**5 - 1/189*r**7 + 1/54*r**4 + 1/1512*r**8. Factor j(t).
2*t*(t - 2)*(t - 1)**3/9
Let j(d) = -3*d**5 + 15*d**4 - 22*d**3 + 15*d**2 - 4*d + 1. Let w(q) = q**4 + q**3 - q**2 + 1. Let t(b) = -j(b) + w(b). Determine s so that t(s) = 0.
0, 2/3, 1, 2
Let w = -170 - -175. Let c(x) be the third derivative of -1/1008*x**8 + 0*x**3 + 0*x - 1/315*x**7 - 3*x**2 + 1/72*x**4 + 0 + 1/90*x**w + 0*x**6. Factor c(t).
-t*(t - 1)*(t + 1)**3/3
Determine l, given that -2*l**2 + 8*l**2 - 16*l + 8*l**3 - 2*l**4 + 6*l - 10*l - 16 + 0*l**4 = 0.
-1, 2, 4
Let a = 79 - -53. Solve j**2 - a*j**5 + 3*j**3 + 64*j**5 - j**4 + 67*j**5 - 2*j = 0 for j.
-2, -1, 0, 1
Let o(h) = h**2 + 9*h - 22. Let i be o(2). Let z(u) be the second derivative of u + i + u**2 + 5/6*u**4 + 3/2*u**3. Determine q, given that z(q) = 0.
-1/2, -2/5
Let s be (-66)/66 - (-4 + (3 - 2)). What is y in 0 + 1/2*y + y**s + 1/2*y**3 = 0?
-1, 0
Let a(w) be the second derivative of w**4/6 + 4*w**3 - 13*w**2 - 338*w. Factor a(h).
2*(h - 1)*(h + 13)
Factor 2/13*i**2 + 25088/13 - 448/13*i.
2*(i - 112)**2/13
Let r(p) be the first derivative of -7*p**4/2 - 8*p**3 + 109*p**2 - 60*p - 530. Suppose r(t) = 0. What is t?
-5, 2/7, 3
Let j(q) be the second derivative of q**5/10 + 17*q**4/6 + 95*q**3/3 + 175*q**2 + q - 65. Factor j(k).
2*(k + 5)**2*(k + 7)
Let x(s) = s + 11. Let t be x(-6). Factor -6*a**t - 6*a**3 + 2*a + 9*a**5 + a.
3*a*(a - 1)**2*(a + 1)**2
Let a be 232/(-64) + 4 - (-164)/(-608). Let -a*u**4 + 2/19*u**2 - 4/19*u**3 + 4/19*u + 0 = 0. What is u?
-2, -1, 0, 1
Let 20*o + 25*o**2 - 10927*o**3 + 1 + 10932*o**3 - 1 = 0. What is o?
-4, -1, 0
Let h(p) = 25*p**4 + 60*p**3 + 135*p**2 + 140*p + 40. Let l(t) = t**4 + t**3 + t**2 - 1. Let x(n) = -h(n) + 20*l(n). Factor x(z).
-5*(z + 1)*(z + 2)**2*(z + 3)
Let w(s) be the first derivative of -11 - 1/12*s**3 + 3/8*s**2 - 1/2*s. Factor w(d).
-(d - 2)*(d - 1)/4
Let z(j) be the third derivative of j**5/210 + 9*j**4/14 + 243*j**3/7 + 329*j**2 + 1. Factor z(f).
2*(f + 27)**2/7
Let z be 12/16*40/15. Factor 3*l**2 + l - 12 - 5*l**2 + 6*l**z - 9*l.
4*(l - 3)*(l + 1)
Let r(t) = t**2 + 13*t + 12. Let k be 3 - 3 - -1*2. Let c(l) = 4*l + k + 0 + 2. Let x(v) = -7*c(v) + 2*r(v). Factor x(g).
2*(g - 2)*(g + 1)
Let f(p) be the second derivative of 1/45*p**3 - 12*p + 0*p**2 + 1/30*p**4 + 1/50*p**5 + 1/225*p**6 + 0. Find m, given that f(m) = 0.
-1, 0
Let m(k) be the first derivative of -6*k**4 + 64*k - 58 + 4/5*k**5 + 48*k**2 + 4/3*k**3. Factor m(j).
4*(j - 4)**2*(j + 1)**2
Solve 4/5*d**2 - 2*d**4 + 0 - 2/5*d**3 + 0*d - 4/5*d**5 = 0.
-2, -1, 0, 1/2
Let n(z) be the first derivative of -z**6/3 - 6*z**5/5 + 5*z**4/2 + 2*z**3 - 4*z**2 - 63. Find r, given that n(r) = 0.
-4, -1, 0, 1
Let b = -151/54 - -143/27. Determine a, given that 1/2*a**3 - 1 - 2*a**2 + b*a = 0.
1, 2
Let k(u) = 15*u**3 + 93*u**2 - 36*u - 12. Let x(n) = -14*n**3 - 92*n**2 + 37*n + 14. Let p(a) = -7*k(a) - 6*x(a). Factor p(s).
-3*s*(s + 5)*(7*s - 2)
Let p be -4*(-1)/(-12) - 39/(-9). Let c(b) be the second derivative of 0*b**2 + 1/2*b**3 - 7*b - 3/20*b**5 + 0*b**p + 0. Let c(l) = 0. What is l?
-1, 0, 1
Let g(i) be the third derivative of -i**5/90 - 8*i**4/3 - 256*i**3 + 91*i**2. Factor g(z).
-2*(z + 48)**2/3
Let n(j) be the third derivative of j**6/210 + 3*j**5/70 + 5*j**4/42 + j**3/7 - 17*j**2 + 3. Factor n(k).
2*(k + 1)*(k + 3)*(2*k + 1)/7
Let h(y) be the third derivative of y**7/504 + 7*y**6/72 + 49*y**5/24 + y**4/4 - 15*y**2. Let b(w) be the second derivative of h(w). Solve b(q) = 0 for q.
-7
Let f(v) be the third derivative of -v**6/300 + v**5/75 + v**4/12 - 2*v**3/5 + 127*v**2. Let f(m) = 0. Calculate m.
-2, 1, 3
Find b such that 2/7*b**2 + 132/7 + 134/7*b = 0.
-66, -1
Let d(j) be the second derivative of -j**7/14 + j**6/10 + 9*j**5/20 - j**4/4 - j**3 - 64*j - 1. Find b such that d(b) = 0.
-1, 0, 1, 2
Factor 0 - 2/7*t**4 - 8/7*t**3 - 6/7*t**2 + 0*t.
-2*t**2*(t + 1)*(t + 3)/7
Let v(o) be the second derivative of -o**6/300 - o**5/50 - 3*o**2 - 6*o. Let b(c) be the first derivative of v(c). Factor b(p).
-2*p**2*(p + 3)/5
Let r(i) be the third derivative of 77*i**6/360 + 19*i**5/60 - 4*i**4/9 - 2*i**3/3 - 86*i**2. Determine v, given that r(v) = 0.
-1, -2/7, 6/11
Factor 12*x**2 - 64/3 + 4/3*x**3 + 8*x.
4*(x - 1)*(x + 2)*(x + 8)/3
Let k(q) = -14 - 2*q**3 - 3*q + q**3 + 22*q - 30*q**2 + 4. Let v(c) = -6*c**2 + 4*c - 2. Let n(y) = -2*k(y) + 11*v(y). What is s in n(s) = 0?
1
Let d(p) be the second derivative of -p**4/12 - 29*p**3/12 + 15*p**2/4 - 57*p. Determine j so that d(j) = 0.
-15, 1/2
Let x(b) = 2*b**2 - 5*b + 3. Let i = 1 + 0. Le