d?
-2, -1
Let c(k) = 2*k**3 - 9*k**2 + 7*k + 3. Let u(y) = 2*y**3 - 8*y**2 + 4*y + 4. Let f(t) = -4*c(t) + 6*u(t). Factor f(w).
4*(w - 3)*(w - 1)*(w + 1)
Let c be (4/(-7))/((-2)/7). Factor 0*m**3 - 2*m - m**3 - 3*m**2 + 0*m**c + 3*m**3.
m*(m - 2)*(2*m + 1)
Suppose -76 = -5*m + 2*t, 0 = 3*m + 5*t - 54 - 4. Suppose 0 = 4*w + m, 8*w + 6 = -5*f + 4*w. Factor 4/7 - 18/7*y - 22/7*y**f.
-2*(y + 1)*(11*y - 2)/7
Suppose -9*q + 2 = -8*q. Let h(j) be the first derivative of 1/6*j**6 + 0*j**3 + 0*j + 0*j**5 + 7 - 1/4*j**4 + 0*j**q. Find a such that h(a) = 0.
-1, 0, 1
Let n be 4/(-5)*((-29)/(-2) + -12). Let j be ((-112)/(-196))/(0 - n*1). Factor j*u**2 + 20/7*u + 50/7.
2*(u + 5)**2/7
Let b(j) be the first derivative of 5*j**4/4 + 70*j**3/3 - 75*j**2/2 + 78. Factor b(t).
5*t*(t - 1)*(t + 15)
Suppose 0 = 2*i - 18 + 2. Suppose 0 = -2*u + i - 4. Factor 2/5*c**u - 6/5*c + 4/5.
2*(c - 2)*(c - 1)/5
What is c in 3*c**2 - 6 + 73*c + 14*c - 9 + 99 = 0?
-28, -1
Let j be (-1 - (8 - 19))/32*(100 - 0). Factor 55/4*b**2 + 5/4*b**3 + j + 175/4*b.
5*(b + 1)*(b + 5)**2/4
Suppose p = -0*p - 2*q + 8, 0 = -3*q + 12. Suppose -4*j + 0*j + 12 = p. Factor -4 + 6*f**3 + j*f**4 + 0*f**4 + 4*f**3 - 6*f + 2*f + 7*f**2.
(f + 1)**2*(f + 2)*(3*f - 2)
Let x(v) be the second derivative of 3*v**5/70 + v**4/14 - 2*v**3 - 72*v**2/7 - 259*v. Suppose x(j) = 0. Calculate j.
-3, -2, 4
Suppose -71*l**2 + 25682 + 26*l**2 + 22*l**2 + 24*l**2 + 298*l - 3481 = 0. Calculate l.
-149
Factor 21 + 144*k - 6 + 8*k**3 - 66*k**2 - 47.
2*(k - 4)**2*(4*k - 1)
Let u(n) be the second derivative of -n**4/4 + 119*n**3 - 42483*n**2/2 + n - 1. Determine w, given that u(w) = 0.
119
Solve -1/2*i**3 - 18 + 5*i**2 + 27/2*i = 0 for i.
-3, 1, 12
Let u(b) be the first derivative of b**4/2 + 6*b**3 - 4*b**2 - 72*b - 155. Factor u(q).
2*(q - 2)*(q + 2)*(q + 9)
Suppose 293*o - 291*o = 4, 2 = 3*q + o. Let a(m) = -m**2 - 4*m + 2. Let x be a(-4). Solve 2/15*g**3 + 0 + 2/15*g**x + q*g = 0 for g.
-1, 0
Factor -9*m**2 + 22 - 4*m**2 + 9*m**2 - 6.
-4*(m - 2)*(m + 2)
Let d be (-10)/((-520)/403) + -7. Factor d*o**3 + 0 - 3/4*o**2 - 3/4*o + 3/4*o**4.
3*o*(o - 1)*(o + 1)**2/4
Let m(s) = -s**2 + 8*s - 16. Let n be m(6). Let x be n + 13/((-702)/(-228)). Determine k so that -2/9*k**2 + x*k + 4/9 = 0.
-1, 2
Solve -16 - 5/2*b**3 + 16*b - 1/2*b**4 + 3*b**2 = 0.
-4, 1, 2
Let i(x) = x**3 + x**2 - x - 1. Let d(h) = 5*h**3 + h**2 - 2*h - 4. Let n(r) = d(r) - 4*i(r). Solve n(t) = 0.
0, 1, 2
Let l(b) = 3*b**4 - 30*b**3 + 60*b**2 - 50*b + 13. Let p(c) = 5*c**4 - 60*c**3 + 120*c**2 - 100*c + 25. Let a(d) = -5*l(d) + 2*p(d). Solve a(k) = 0 for k.
1, 3
Let u(j) = -j**3 + 2*j**2 + j - 2. Let z(w) be the first derivative of 0*w**2 - 1/3*w**3 - 8 + w. Let k(s) = -u(s) - 3*z(s). Factor k(o).
(o - 1)*(o + 1)**2
Determine p so that -2/17*p**2 - 44/17*p - 242/17 = 0.
-11
Let o(p) be the second derivative of p**7/14 - p**6/2 - 9*p**5/20 + 45*p**4/4 - 27*p**3 - 2*p + 2. Determine v so that o(v) = 0.
-3, 0, 2, 3
Let f(r) be the third derivative of r**8/84 + 2*r**7 + 147*r**6 + 6174*r**5 + 324135*r**4/2 + 2722734*r**3 + 53*r**2 + 2. Factor f(u).
4*(u + 21)**5
Let k(c) be the third derivative of 0*c + 0*c**3 + 11*c**2 + 0 - 1/390*c**5 + 1/156*c**4. What is m in k(m) = 0?
0, 1
Let y(t) be the first derivative of -5 - 2/9*t**3 - 2/3*t - 2/3*t**2. Let y(w) = 0. Calculate w.
-1
Let l be (-126)/(-35) - 4/(-10). Suppose 0*p - l = -4*m - p, p = m + 4. Factor -5/4*c**3 + c**4 + 1/2*c**2 + m + 0*c - 1/4*c**5.
-c**2*(c - 2)*(c - 1)**2/4
Suppose -85 + 129 = 11*t. Let d(f) be the second derivative of 0 + 3/2*f**2 - 3/4*f**t + 1/5*f**6 + 3/20*f**5 + f - 1/2*f**3. Factor d(v).
3*(v - 1)*(v + 1)**2*(2*v - 1)
Let p(q) be the second derivative of q**7/504 + 5*q**6/72 - 11*q**5/24 - q**4/12 - q**3/2 - 2*q + 30. Let b(f) be the third derivative of p(f). Factor b(v).
5*(v - 1)*(v + 11)
Suppose 17*p - 42 = -8. Factor 13*k - 4*k**3 + 3*k + 171 + p*k**4 - 6*k**2 - 179.
2*(k - 2)*(k - 1)**2*(k + 2)
Let k be -1 - (-8 + 0 - 3335/(-480)). Let d(a) be the second derivative of 0 - k*a**4 + 3*a - 1/6*a**3 + 1/4*a**2. Factor d(y).
-(y + 2)*(5*y - 2)/8
Let o(n) be the second derivative of 0*n**3 + 0 - 3/80*n**5 - 3/2*n**2 + 3/16*n**4 - 2*n. Solve o(j) = 0.
-1, 2
Factor -21/4*w**2 + 2043/4*w - 291/2.
-3*(w - 97)*(7*w - 2)/4
Let d(q) be the third derivative of -q**8/21 - 74*q**7/105 - 23*q**6/10 - 43*q**5/15 - 7*q**4/6 + 19*q**2 - 3. Determine x so that d(x) = 0.
-7, -1, -1/4, 0
Let z(c) = -5*c**2 + 208*c + 207. Let h(d) = 3*d**2 - 1. Let o(w) = 3*h(w) + z(w). Factor o(l).
4*(l + 1)*(l + 51)
Let h = -785 - -788. Let w(s) be the first derivative of 11 + 0*s**2 + 8/3*s**h + 0*s + s**4. Suppose w(b) = 0. Calculate b.
-2, 0
Let o(h) be the second derivative of 0*h**2 + 1/12*h**3 + 1/48*h**4 - 8*h + 0. Factor o(i).
i*(i + 2)/4
Let s be 300/125 - 6/(-10). Let v = 1957/7 + -279. Suppose -52/7*c**s + 72/7*c**5 - v*c - 4*c**2 + 12/7*c**4 + 0 = 0. What is c?
-1/2, -1/3, 0, 1
Let l(v) = 6*v**3 + 3*v**2 - 12*v - 3. Let f(u) = 5*u**3 + 2*u**2 - 11*u - 4. Let q(i) = 3*f(i) - 2*l(i). Suppose q(j) = 0. Calculate j.
-1, 2
Let h(f) be the first derivative of 5*f**3/12 + 21*f**2/4 + 4*f - 250. Factor h(n).
(n + 8)*(5*n + 2)/4
Let g(z) be the second derivative of -z**6/60 - 21*z**5/20 - 147*z**4/8 + 220*z. Factor g(n).
-n**2*(n + 21)**2/2
Let x(z) be the third derivative of -z**5/390 - 27*z**4/26 - 2187*z**3/13 + 246*z**2. Suppose x(s) = 0. Calculate s.
-81
Let h(k) be the second derivative of 9/4*k**5 - 15*k - 11/4*k**4 - 11/2*k**3 + 9/10*k**6 - 3*k**2 + 0. Factor h(l).
3*(l - 1)*(l + 2)*(3*l + 1)**2
Let w(g) = -8*g**2 - 12*g. Let m(p) = -p**2 + 3*p. Let u(r) = -20*m(r) + 2*w(r). Factor u(z).
4*z*(z - 21)
Let b(f) = f**3 - f**2 - f. Suppose 5*p = 2*p + 15. Let n(l) = 3*l**3 - 5*l**2 + l + 4. Let c(k) = p*b(k) - n(k). Factor c(x).
2*(x - 2)*(x + 1)**2
Let z be -1 + 0 + (-23 - -27). Factor 24*o + 136*o - 5*o**4 + 160 - 19*o**2 - 11*o**2 - 35*o**z.
-5*(o - 2)*(o + 1)*(o + 4)**2
Let p = -1247/6 + 208. Let i(u) be the third derivative of u**3 + 0 + p*u**4 - 1/30*u**5 + 2*u**2 + 0*u. Find a such that i(a) = 0.
-1, 3
Suppose 2*d - 2*g = -d + 51, -3*d - 4*g + 69 = 0. Suppose 15*v**4 - 4*v - 17*v**2 - d*v**4 + 4*v**3 - 16*v**3 + 5*v**2 = 0. Calculate v.
-1, 0
Suppose 33*k = -0*k + 19*k. Let r(g) be the second derivative of -2/9*g**3 + 0*g**5 + 0*g**2 + k + 1/6*g**4 - 1/45*g**6 - 6*g. Factor r(m).
-2*m*(m - 1)**2*(m + 2)/3
Let u be 10/(-8)*(8/(-4) + -2). Let c(v) = -v**2 - 12*v + 18. Let a be c(-13). Factor a*z - 3*z + z**2 + z**5 - z - u*z**2 + 6*z**3 - 4*z**4.
z*(z - 1)**4
Suppose 119 = -m + 4*m - p, 0 = -5*p + 5. Let y be 46/m + (4/5)/(-2). Factor -y*t + 3/4*t**2 + 0.
3*t*(t - 1)/4
Let v(w) be the third derivative of -w**6/40 - 3*w**5/40 + 3*w**4/16 + w**3/2 - 4*w**2 + 2. Factor v(c).
-3*(c - 1)*(c + 2)*(2*c + 1)/2
Let w be 4/160*(31 + -23). Suppose 3*n - 7*n + 12 = 0. Factor 0 + 4/5*c**n + w*c**4 + 2/5*c + c**2.
c*(c + 1)**2*(c + 2)/5
Suppose 498*v - 48 = 486*v. Factor 0 + 3/2*d**2 - 9/4*d**3 + 0*d - 15/4*d**v.
-3*d**2*(d + 1)*(5*d - 2)/4
Let d(z) = 4*z**5 - z**4 + z**3 - z**2 - 2. Let v(h) = -1397*h**5 - 8133*h**4 - 15992*h**3 - 10063*h**2 + 580*h + 6. Let j(g) = 35*d(g) + 5*v(g). Factor j(o).
-5*(o + 2)**3*(37*o - 1)**2
Factor 6/7*a**4 + 0 - 4/7*a - 13/7*a**3 - 1/7*a**5 + 12/7*a**2.
-a*(a - 2)**2*(a - 1)**2/7
Let b(h) be the second derivative of h**6/6 - 9*h**5/4 + 10*h**4 - 50*h**3/3 - h - 66. Factor b(y).
5*y*(y - 5)*(y - 2)**2
Let q be (1/(-1203))/(((-5)/(-2035))/(-1)). Let m = q + -2/401. Let 4/3*k**2 + k + 0 + m*k**3 = 0. What is k?
-3, -1, 0
Let t = -31058/7 - -4438. Factor -t*d - 4/7 - 4/7*d**2.
-4*(d + 1)**2/7
Let s(w) be the third derivative of w**5/240 + w**4/6 + 7*w**3/6 + 140*w**2. Factor s(f).
(f + 2)*(f + 14)/4
Factor 5*v**2 + 3*v**2 - 3*v**2 + 45*v + 40.
5*(v + 1)*(v + 8)
Let s(h) be the first derivative of h**5/12 + 5*h**4/12 - 5*h**2 - 1. Let a(b) be the second derivative of s(b). Factor a(d).
5*d*(d + 2)
Let g(h) be the first derivative of -45*h**6/2 + 93*h**5 + 265*h**4/3 - 220*h**3/3 + 40*h**2/3 - 346. Find y, given that g(y) = 0.
-1, 0, 2/9, 4
Suppose 5*k + 12 = 9*k. Let c(f) be the first derivative of 3/35*f**5 + 3/14*f**2 - 3/28*f**4 + 0*f - 2 - 1/7*f**k. Determine d so that c(d) = 0.
-1, 0, 1
