?
-1, -2/7
Let u be 31/(-93) + (-1 - 860/(-6)). Let g = u - 137. Factor -12/5*x**3 + 0 + 8/5*x**4 - 2/5*x**g + 8/5*x**2 - 2/5*x.
-2*x*(x - 1)**4/5
Let y(w) be the second derivative of w**5/4 + w**4/12 - 2*w**3/3 - w - 46. Suppose y(f) = 0. Calculate f.
-1, 0, 4/5
Factor 0 + 7/5*u + 1/5*u**2.
u*(u + 7)/5
Let r = 198 + -195. Let x(q) be the second derivative of -2/7*q**2 + 0 - 1/3*q**r - 4*q - 3/14*q**4 - 1/14*q**5 - 1/105*q**6. Factor x(k).
-2*(k + 1)**3*(k + 2)/7
Let o = 13 - 18. Let q(p) = p + 7. Let r be q(o). Factor 2*l + 2*l**3 + r*l**3 - 2*l**3 - 4*l.
2*l*(l - 1)*(l + 1)
Suppose 17 - 18*j - 1/4*j**4 - 13/4*j**2 + 9/2*j**3 = 0. Calculate j.
-2, 1, 2, 17
Let -55/6*p**2 - 5/6*p**5 + 10/3*p + 15/2*p**3 - 5/6*p**4 + 0 = 0. What is p?
-4, 0, 1
Factor -2/7*q**2 + 1/7*q**4 + 2/7*q**3 - 1/7*q**5 + 1/7 - 1/7*q.
-(q - 1)**3*(q + 1)**2/7
Factor -26/3*q - 20 + 2/3*q**2.
2*(q - 15)*(q + 2)/3
Let p(d) be the third derivative of d**6/300 + d**5/75 - d**4/60 - 2*d**3/15 - 124*d**2. Factor p(s).
2*(s - 1)*(s + 1)*(s + 2)/5
Solve 992*z + 287*z + 3*z**2 - 463*z + 55488 = 0.
-136
Suppose 8*w + 383 - 63 = 0. Let n = w + 43. Factor 4/3*l**4 + 2/3*l**n + 0 + 0*l + 0*l**2 + 2/3*l**5.
2*l**3*(l + 1)**2/3
Let b(z) = -z**3 - 5*z**2 - 5*z. Let d be b(-4). Let x = 9 - d. Factor 3*h**2 + x*h**2 + 4*h + 4 - 7*h**2.
(h + 2)**2
Let t(q) be the first derivative of -q**4/18 - 32*q**3/27 - 28*q**2/9 - 281. Determine c, given that t(c) = 0.
-14, -2, 0
Let j = -537 - -537. Let s(a) be the third derivative of 0*a**4 + 0*a - 9*a**2 + j*a**3 + 1/200*a**6 + 3/100*a**5 + 0. Find h such that s(h) = 0.
-3, 0
Let i(x) be the third derivative of -5*x**5/6 + 55*x**4/8 - 15*x**3/2 - 228*x**2. Suppose i(l) = 0. Calculate l.
3/10, 3
Let o(u) = 4*u + 41. Let m be o(10). Solve 15*l**2 - 7*l + m*l**3 + 32*l**4 + 61*l**4 + 32*l**5 + l**5 + l = 0 for l.
-1, 0, 2/11
Let k = 53/86 - 27/602. Factor 0*x**2 + 0 + 4/7*x - k*x**3.
-4*x*(x - 1)*(x + 1)/7
Suppose -2*z - 2 = -0*z. Let u(c) = -45*c**3 + c. Let n be u(z). Factor 8 + 16*y**2 + 22*y**2 + 0*y**3 - 5*y**3 - 4*y**3 - n*y.
-(y - 2)**2*(9*y - 2)
Let f(r) be the third derivative of -5*r**6/72 - 7*r**5/12 + 5*r**4/8 - 23*r**3/6 + r**2 - 37. Let h(o) be the first derivative of f(o). Factor h(v).
-5*(v + 3)*(5*v - 1)
Let o(y) = 6*y**3 + 59*y + 4*y - 197 + 33*y**3 + 2*y**4 - 185*y**2 + 278*y. Let t(f) = -f**4 + f**2 - f + 1. Let r(n) = -o(n) - 5*t(n). Factor r(b).
3*(b - 4)**3*(b - 1)
Let u(g) = -44*g + 312. Let z be u(7). Suppose 0*y - 4/11*y**3 + 0*y**2 - 2/11*y**z + 0 = 0. Calculate y.
-2, 0
Let z(j) be the third derivative of j**7/42 - 11*j**6/24 - 13*j**5/12 + 55*j**4/24 + 10*j**3 + 532*j**2. Factor z(x).
5*(x - 12)*(x - 1)*(x + 1)**2
Let u = -2447 - -2451. Factor y**u + 1/2*y + 3/4*y**3 - 9/4*y**2 + 0.
y*(y - 1)*(y + 2)*(4*y - 1)/4
Let v(m) be the third derivative of -m**8/420 - 24*m**7/175 - 179*m**6/75 - 204*m**5/25 - 289*m**4/30 + 206*m**2. Determine y, given that v(y) = 0.
-17, -1, 0
Suppose l - 4*l + 14 = 2*y, 6 = 3*l. Suppose 5*c = 2*x - 4*x + 10, -2 = -c - y*x. Factor 2/11*s - 2/11*s**c + 0.
-2*s*(s - 1)/11
Let q be (-3 + (-35)/(-11))*(-858)/(-624). Factor 0 - q*u**4 + 1/4*u**3 + 5/4*u**2 + 3/4*u.
-u*(u - 3)*(u + 1)**2/4
Let v(w) = w**3 - 2*w**2 - 2*w - 6. Let l be v(3). Let k(a) = 3*a + 13. Let u be k(l). Solve -5/7*d - 4/7*d**u + 1/7 + 3/7*d**2 + 5/7*d**3 = 0.
-1, 1/4, 1
Let b be 39/(-273)*-1*21/9. Factor -2/3*s**3 + 3*s - 4/3*s**4 + 4*s**2 + 0 + b*s**5.
s*(s - 3)**2*(s + 1)**2/3
Let c = 148 - 589/4. Let u(j) be the first derivative of -c*j**4 + 1/6*j**6 + 5 + 1/5*j**5 + 0*j + j**2 - 1/3*j**3. Solve u(r) = 0 for r.
-2, -1, 0, 1
Let w(a) be the second derivative of -a**5/20 + 7*a**4/6 - 5*a**3/2 + 13*a**2 - a - 14. Let b be w(13). Factor -1/3*z**2 + b + z.
-z*(z - 3)/3
Let v = 317/225 + 49/50. Let l = v + -8/9. Find w such that -9/2*w**4 - 3/2*w**5 + 9/2*w + l - 3*w**3 + 3*w**2 = 0.
-1, 1
Let o(r) = -r**2 + 19*r + 94. Let m be o(23). Let k be (-5)/((-10)/(-4)) + 2. Factor 1/3*b**m + k - b.
b*(b - 3)/3
Let -1772/7*w**3 + 80*w**4 + 16/7*w**5 - 908/7*w + 1952/7*w**2 + 152/7 = 0. What is w?
-38, 1/2, 1
Let x(k) = k**2 - k + 1. Let p be x(2). Find s, given that -6*s**p - 6*s - 45 + 45 - 15*s**2 = 0.
-2, -1/2, 0
Suppose 0 = -3*y + 3*l + 18, 3 = -5*y + l + 9. Factor y - 2/9*d**3 + 0*d + 16/9*d**2.
-2*d**2*(d - 8)/9
Let z(w) = -w**2 + w - 2. Let d(g) = -18*g**2 + 441*g - 15153. Let a(r) = d(r) - 15*z(r). What is x in a(x) = 0?
71
Let v(k) = -k**2 + 0*k - 4*k**2 + 1 + 13*k + 3*k**3. Let y(r) = 21*r**3 - 36*r**2 + 90*r + 6. Let c(f) = 27*v(f) - 4*y(f). Factor c(m).
-3*(m - 1)**3
Suppose -3*w + 0 = p - 8, 3*p - 4 = w. Suppose w*j + 4 = 16. Determine l so that 0 + 0 + j*l**2 - 2*l**2 = 0.
0
Let m(y) be the second derivative of -y**4/30 + 16*y**3/5 - 576*y**2/5 + 85*y. Find x, given that m(x) = 0.
24
Let n = 1/244 - 1469/1220. Let j = 29/20 + n. Factor j*z**4 + 1/4 + 0*z + 0*z**3 - 1/2*z**2.
(z - 1)**2*(z + 1)**2/4
Let c(m) be the first derivative of m**5/5 - m**4 + m**3 - 443. Determine h so that c(h) = 0.
0, 1, 3
Let v(g) be the first derivative of 3/5*g**5 + 9 - 9/4*g**4 + 9/2*g**2 + g**3 - 6*g. Factor v(j).
3*(j - 2)*(j - 1)**2*(j + 1)
Let p(k) be the third derivative of k**6/270 + 34*k**5/135 + 112*k**2. Factor p(q).
4*q**2*(q + 34)/9
Suppose 80 = -9*y + 29*y. Let f(r) be the first derivative of 1/24*r**4 + 1/18*r**3 - 1/6*r - 1/12*r**2 - y. Determine i so that f(i) = 0.
-1, 1
Let l(r) be the first derivative of -r**4/42 - 2*r**3/7 - 9*r**2/7 + 12*r + 6. Let x(u) be the first derivative of l(u). Factor x(v).
-2*(v + 3)**2/7
Let z = 287/34 - 118/17. Solve z*o**3 - o + 0 + 3/2*o**2 - 7/2*o**4 + 3/2*o**5 = 0 for o.
-2/3, 0, 1
Let q(x) be the second derivative of x**7/1680 - x**5/60 - 11*x**3/3 - 45*x. Let z(b) be the second derivative of q(b). Suppose z(m) = 0. What is m?
-2, 0, 2
Suppose -3*y + 4 = -2*h, -h + 4 = 2*y - 1. Let i(d) be the third derivative of d**y + 0*d**3 + 1/60*d**6 + 0*d + 0 - 1/12*d**4 + 0*d**5. What is b in i(b) = 0?
-1, 0, 1
Find u, given that -7/4*u + 1/4*u**2 + 3 = 0.
3, 4
Let u(n) be the first derivative of -1/20*n**4 + 6 - 4*n - 1/6*n**3 + 1/5*n**2. Let b(q) be the first derivative of u(q). Factor b(g).
-(g + 2)*(3*g - 1)/5
Let v(k) = 2*k**2 - 7*k - 46. Let g be v(7). Suppose -6*j - j = g*j. Factor -9/4*u + 3/4*u**2 + j.
3*u*(u - 3)/4
Find o, given that 68/7*o**2 + 160/7 - 232/7*o + 4/7*o**3 = 0.
-20, 1, 2
Let 11/2*y**3 + 1/2*y**4 + 4 + 27/2*y**2 + 25/2*y = 0. What is y?
-8, -1
Let l(n) be the first derivative of 3*n**6/80 - 7*n**5/40 + n**4/3 - n**3/3 - 23*n**2/2 + 35. Let t(b) be the second derivative of l(b). Factor t(j).
(j - 1)*(3*j - 2)**2/2
Let c(n) be the second derivative of 2*n**4/3 - 101*n**3/3 + 25*n**2 + 123*n. Suppose c(z) = 0. What is z?
1/4, 25
Let k = -12752 + 89983/7. Let o = 103 - k. Factor -8/7*b + 2/7 - 8/7*b**3 + 12/7*b**2 + o*b**4.
2*(b - 1)**4/7
Factor -144 - 28*l**2 - 11*l**2 - 14*l**2 + 5*l**2 - 4*l**3 - 144*l + 4*l**2.
-4*(l + 2)*(l + 3)*(l + 6)
Let v(y) be the second derivative of y**2 + 2/9*y**3 - 1/120*y**5 - 12*y - 1/72*y**4 + 0. Let v(m) = 0. Calculate m.
-2, 3
Let g(l) be the third derivative of 0*l + 1/270*l**5 + 1/27*l**4 + 25*l**2 - 2 - 4/9*l**3. Suppose g(w) = 0. Calculate w.
-6, 2
Let l be 16 + (-236)/18 + 1/9. Let y(n) be the first derivative of 0*n**2 + 0*n + 1 - 8/3*n**l - n**4. Factor y(v).
-4*v**2*(v + 2)
Factor -3*m**4 - 100*m**2 + 13*m**4 + 105 - 110*m - 15*m**4 + 110*m**3.
-5*(m - 21)*(m - 1)**2*(m + 1)
Let j(v) be the third derivative of v**7/630 + v**6/180 + v**4/8 - 14*v**2. Let f(c) be the second derivative of j(c). Factor f(o).
4*o*(o + 1)
Let q = -237 - -237. Let i(u) = u**3 + 7*u**2 + 7*u + 9. Let d be i(-6). Factor 4/9*b**2 + q - 2/9*b**d - 2/9*b.
-2*b*(b - 1)**2/9
Factor 6*i**3 - 42*i + 49/2 + 11*i**2 + 1/2*i**4.
(i - 1)**2*(i + 7)**2/2
Factor -s**2 + 13*s - 4*s**2 - 320 + 71*s - 4*s.
-5*(s - 8)**2
Suppose 2*r + 2*f = 4, -f = -0 + 4. Let m(g) be the second derivative of 0*g**3 - r*g + 0*g**2 - 1/36*g**4 + 1/60*g**5 + 0. Factor m(t).
t**2*(t - 1)/3
Let i be 2 - (-1*3 - 27/(-9)). Let m be (-26)/(-3)*(4 - i). Find t such that 8/3 - 18*t**2 + m*t**3 - 14/3*t**4 + 8/3*t = 0.
-2/7, 1, 2
Let o(f) be the first derivative of f**4/8 - 11*f**3/3 + 709. Factor o(k).
k**2*(k -