ctor t(d).
-2*d*(d + 1)/5
Suppose 20*n - 110 = -30. Let o(b) be the third derivative of -6*b**2 + 0*b - 4/3*b**3 - 1/2*b**n - 1/15*b**5 + 0. Find z such that o(z) = 0.
-2, -1
Let t = 1678 + -11744/7. Factor -t*m**3 - 10/7*m - 4/7 - 8/7*m**2.
-2*(m + 1)**2*(m + 2)/7
Let m(w) = -4*w**3 - 92*w**2 - 392*w + 1160. Let r(h) = 4*h**3 + 93*h**2 + 394*h - 1162. Let o(g) = 5*m(g) + 4*r(g). Factor o(y).
-4*(y - 2)*(y + 12)**2
Let h(b) = 2*b - 44. Let d be h(23). Let s(i) be the second derivative of 8*i + 0*i**d + 0 + 0*i**4 + 9/80*i**5 - 1/2*i**3 + 1/40*i**6. Factor s(c).
3*c*(c - 1)*(c + 2)**2/4
Let y = 27072 + -27068. Let 3/5*x**3 - 4/5*x - 4/5*x**2 + 1/5*x**5 + 4/5*x**y + 0 = 0. Calculate x.
-2, -1, 0, 1
Let a be (1 - (-15)/(-10))*-10. Factor -13*f + 18 + 2 + 28*f - a*f**2.
-5*(f - 4)*(f + 1)
Suppose 6*i**2 + 60*i - 4*i**4 - 130*i**2 - 331*i**3 + 399*i**3 = 0. Calculate i.
0, 1, 15
Suppose 0 = -9*x + 2*x + 12*x - 10. Factor 4/9*q**x - 4/3*q + 8/9.
4*(q - 2)*(q - 1)/9
Let j(b) be the second derivative of -b**7/42 + 3*b**5/4 + 5*b**4/6 - 4*b**3 + 402*b. Find t, given that j(t) = 0.
-3, -2, 0, 1, 4
Let g(j) be the second derivative of -j**6/50 + 3*j**5/100 + j**4/5 - 2*j**3/5 - 161*j. Factor g(u).
-3*u*(u - 2)*(u - 1)*(u + 2)/5
Let u(i) be the third derivative of i**5/270 - i**4/18 + 5*i**3/27 + i**2 + 7*i. Factor u(r).
2*(r - 5)*(r - 1)/9
Let s(o) be the second derivative of o**4/20 + 11*o**3/10 - 63*o**2/5 + 202*o. Let s(y) = 0. Calculate y.
-14, 3
Let g(p) be the third derivative of p**5/390 + 4*p**4/39 + 5*p**3/13 - 107*p**2. Factor g(n).
2*(n + 1)*(n + 15)/13
Let b be 1/5*-1 + (-145)/25. Let k = 20/3 + b. Factor k - 1/3*n**3 + 0*n**2 + n.
-(n - 2)*(n + 1)**2/3
Let f(z) be the second derivative of -z**6/120 + z**5/8 - 7*z**4/12 + z**3 + 252*z. Factor f(p).
-p*(p - 6)*(p - 2)**2/4
Factor 0 + 36*y**2 + 8*y + 2*y**4 + 33/2*y**3.
y*(y + 4)**2*(4*y + 1)/2
Let m = 525 + -525. What is h in m - 4/3*h - 2/3*h**2 - 2/3*h**5 + 2*h**3 + 2/3*h**4 = 0?
-1, 0, 1, 2
Let h(f) be the first derivative of -f**7/357 - f**6/85 - f**5/85 + 18*f + 33. Let i(r) be the first derivative of h(r). Find m, given that i(m) = 0.
-2, -1, 0
Let n(y) = -y**3 - 62*y**2 + 131*y - 58. Let t(m) = 3*m**3 + 249*m**2 - 525*m + 228. Let b(s) = -9*n(s) - 2*t(s). Factor b(x).
3*(x - 1)**2*(x + 22)
Let w(l) be the second derivative of l**6/105 - 3*l**5/70 - 2*l**4/21 + 99*l. Factor w(i).
2*i**2*(i - 4)*(i + 1)/7
Let o(g) be the first derivative of -g**6/30 + g**5/6 - 17*g**4/96 + g**3/12 + g**2 + 22. Let x(f) be the second derivative of o(f). Factor x(y).
-(y - 2)*(4*y - 1)**2/4
Let l be (20 - 8) + 1*(-3)/(-2). Determine c so that -l - 3/2*c**2 + 9*c = 0.
3
Let s be -6*1/2 + (-83)/(-27). Let q(a) be the first derivative of -s*a**3 + 0*a - 7 + 1/3*a**2. Find c such that q(c) = 0.
0, 3
Let h(p) be the first derivative of -9*p**5/20 + p**3/6 - 8*p - 14. Let l(n) be the first derivative of h(n). Suppose l(m) = 0. Calculate m.
-1/3, 0, 1/3
Suppose 2*t - 6*t = 0. Let i be (t + 1)/(8/24). Let 8*f**3 - i*f - 4*f**5 - 4*f + 3*f = 0. Calculate f.
-1, 0, 1
Suppose y - 15 = -2*y. Suppose 7 = 3*z + 4*o - y, 3*z = -o + 3. Solve -3*q**2 + 3*q + z*q + 0*q = 0.
0, 1
Factor 7/4*p**2 + 1/4*p**3 + 0 - 2*p.
p*(p - 1)*(p + 8)/4
Suppose -4*m - 5*b = -168, 2*m + 0*b - 90 = -b. Determine x so that -7 + 19*x**2 + 22*x**2 - x**3 - m*x**2 - 12*x - 1 = 0.
-2
Let g = 6 + -4. Suppose -28*m + 13 + 14*m**3 - 32*m**g - 6*m - 1 = 0. What is m?
-1, 2/7, 3
Let k(p) be the second derivative of -p**7/16380 - p**6/1560 - p**5/390 + 4*p**4/3 - 4*p. Let b(l) be the third derivative of k(l). Factor b(a).
-2*(a + 1)*(a + 2)/13
Factor -105/4*h - 3/4*h**3 + 57/4*h**2 + 51/4.
-3*(h - 17)*(h - 1)**2/4
Let p(c) be the second derivative of -c**4/48 - 11*c**3/8 - 4*c - 1. Suppose p(n) = 0. Calculate n.
-33, 0
Let q = -3349 - -3351. Factor -2/3*f**q + 0 + 4/3*f.
-2*f*(f - 2)/3
Let v(k) be the third derivative of -k**7/630 + k**6/36 - k**5/5 + 3*k**4/4 - 3*k**3/2 - 147*k**2 - k. Factor v(h).
-(h - 3)**3*(h - 1)/3
Let s(b) be the second derivative of -2*b**4/27 + 29*b**3/27 - 7*b**2/9 - 4*b - 2. Factor s(n).
-2*(n - 7)*(4*n - 1)/9
Let l(a) be the second derivative of 5*a**7/336 - a**6/240 - a**5/40 + 2*a - 68. Factor l(b).
b**3*(b - 1)*(5*b + 4)/8
Suppose 4*s = 118 - 18. Suppose -24*z - 4 = -s*z. Factor 2/9 - 2*h**2 + 2/9*h + 22/9*h**3 - 8/9*h**z.
-2*(h - 1)**3*(4*h + 1)/9
Let q(b) be the third derivative of -2*b**7/315 + b**6/30 + 16*b**5/45 + 2*b**4/3 - 117*b**2. Factor q(c).
-4*c*(c - 6)*(c + 1)*(c + 2)/3
Let h(m) be the second derivative of m**6/60 - m**5/30 - m**4/3 + 4*m**3/3 - m**2/2 + 12*m. Let n(g) be the first derivative of h(g). Let n(q) = 0. What is q?
-2, 1, 2
Let l be 99/22 - (-2)/(-4). Suppose 0 = 2*j - 2*y - 46, -82 = -l*j + 3*y - y. Find u, given that -2*u**3 + 1 - 2*u - 1 + j*u**2 - 22*u**2 = 0.
-1, 0
Let l = -12482 + 1160752/93. Let m = -4/31 - l. Factor 0 - 2/3*s**2 - m*s**3 + 0*s.
-2*s**2*(s + 1)/3
Let u(h) be the first derivative of 3*h**5/5 + 3*h**4/2 - h**3 - 3*h**2 + 153. Factor u(k).
3*k*(k - 1)*(k + 1)*(k + 2)
Factor -7*p**2 + 3777*p - 1 + 21 + 5*p**3 + 17*p**2 - 3812*p.
5*(p - 1)**2*(p + 4)
Let n be 40/580 + (-168)/(-87). Suppose 0 + 0*w + 2/5*w**n - 2/5*w**3 = 0. What is w?
0, 1
What is j in 64 - 3*j**2 + 29*j - 354 + 91*j - 557*j = 0?
-145, -2/3
Let g(b) be the third derivative of -1/15*b**6 + 2/105*b**7 + 0*b**3 + 0*b**5 + 0*b**4 + 0 - 29*b**2 + 1/84*b**8 + 0*b. What is o in g(o) = 0?
-2, 0, 1
Suppose 0 = 2*v + 147*u - 145*u, 5*v - 24 = u. Let 0 - 2/3*b**5 - 16/3*b**2 + 2*b + 0*b**v + 4*b**3 = 0. What is b?
-3, 0, 1
Suppose 26*x**5 - 97*x - 936*x**2 - 19*x**5 - 375*x - 78*x**4 + 40*x - 10*x**5 - 579*x**3 = 0. What is x?
-12, -1, 0
Let b(r) = r**5 + 2*r**4 - 16*r**3 - 12*r**2 + 28*r. Let s(h) = -h**5 - 2*h**4 + 15*h**3 + 11*h**2 - 29*h. Let k(x) = -3*b(x) - 4*s(x). Factor k(m).
m*(m - 2)**2*(m + 2)*(m + 4)
Suppose -x = -0*x - 8. Suppose -7*a = -8*a + x*a. Let -2/11*g**4 + a*g**2 + 4/11*g - 4/11*g**3 + 2/11 = 0. What is g?
-1, 1
Suppose 0 = -3*p + 23 + 76. Let z = 35 - p. Factor 3/2*v - 1/2*v**z - 3/2*v**3 + 1/2.
-(v - 1)*(v + 1)*(3*v + 1)/2
Let n(y) be the first derivative of -1/2*y - 1/8*y**4 + 1/4*y**2 - 8 + 1/6*y**3. Factor n(b).
-(b - 1)**2*(b + 1)/2
Let y(u) = 6*u**4 + 3*u**3 + 12*u**2 + 25*u - 57. Let d(b) = -b**4 - b**3 + b - 1. Let r(x) = 35*d(x) + 5*y(x). Factor r(m).
-5*(m - 2)**2*(m + 4)**2
Let u(h) be the first derivative of -2*h**7/189 + h**5/45 - 13*h - 14. Let a(c) be the first derivative of u(c). Solve a(b) = 0.
-1, 0, 1
Let r(i) = 4*i**4 + 12*i**3 - 18*i**2 + 2*i - 2. Let f(s) = -s**2 + s - 1. Let b(k) = -2*f(k) + r(k). Find u, given that b(u) = 0.
-4, 0, 1
Let y(z) be the second derivative of -z**5/10 - 4*z**4/3 - 5*z**3/3 + 14*z**2 - 161*z. Factor y(g).
-2*(g - 1)*(g + 2)*(g + 7)
Let u(l) be the first derivative of -14/51*l**3 + 1/17*l**4 + 7/17*l**2 + 24 - 4/17*l. What is y in u(y) = 0?
1/2, 1, 2
Let y(m) = m**3 + 5*m**2 - 9*m - 15. Let x be (320/(-55))/1 + (-2)/11. Let b be y(x). Factor 0*i**2 - 1/4*i**b + 0 + 0*i.
-i**3/4
Let s be (-8 - -5) + 160/50. Suppose 1/5*z**5 - 4/5 - z**3 - 1/5*z**2 + 8/5*z + s*z**4 = 0. What is z?
-2, 1
Let i(a) be the third derivative of -a**5/80 - 24*a**2. Factor i(z).
-3*z**2/4
Let z(r) = 0*r**2 + 2 + r + 0*r - 2*r**3 - 3*r**2 + 0*r**2. Let k be z(-2). Determine i so that 4*i**2 + 0*i**3 - 3*i**3 - i**k - i**3 + 2*i**4 = 0.
0, 2
Let i(a) be the first derivative of 3*a**5/5 + 45*a**4/4 + 29*a**3 - 621*a**2/2 + 486*a + 126. Let i(f) = 0. Calculate f.
-9, 1, 2
Suppose -5*o + 45 = 3*w, -4*o - w + 36 = 7. Let v be (-18)/(-36) + (-11)/o - -2. Factor 0*b - v*b**2 + 0.
-2*b**2/3
Let t = -103 + 103. Let h(a) be the third derivative of t + 0*a - 1/9*a**3 - 1/90*a**5 + 9*a**2 - 1/18*a**4. Factor h(x).
-2*(x + 1)**2/3
Let q(i) = -12*i**3 - 8*i**2 + 24*i + 4. Let a(z) = z**4 + 13*z**3 + 7*z**2 - 24*z - 3. Let h(m) = -4*a(m) - 3*q(m). Find u such that h(u) = 0.
-3, -2, 0, 1
Let b(s) be the second derivative of -8*s**6/15 - s**5/5 + 4*s**4/3 + 2*s**3/3 - 21*s + 1. Factor b(g).
-4*g*(g - 1)*(g + 1)*(4*g + 1)
Factor -162*j**2 - 9922*j - 2/3*j**3 - 29282/3.
-2*(j + 1)*(j + 121)**2/3
Let u = 337/12 + -331/12. Factor u*w + 1/3 - 7/2*w**2 + 25/6*w**3 - 3/2*w**4.
-(w - 1)**3*(9*w + 2)/