 + p**2 - p**2.
3*p**4
Let m(c) = 3*c**3 - 2*c**2 - 5*c + 4. Let s be m(3). Determine z so that 47*z**4 + s*z + 16 + 292*z**2 + 60*z + 8*z + 258*z**3 + 23*z**4 = 0.
-2, -1, -2/5, -2/7
Let l(p) be the second derivative of -p**7/4620 + p**6/990 - p**5/660 - 2*p**3/3 + 2*p. Let t(k) be the second derivative of l(k). Let t(b) = 0. Calculate b.
0, 1
Suppose k = -0 + 6. Suppose -2*v + 10 = 0, 5*l - 4*v = -9*v + 65. Factor 4*i - l*i**2 + 1 + 3 - 2*i - k*i**3.
-2*(i + 1)**2*(3*i - 2)
Let -16/7*j - 96/7*j**2 - 44/7*j**3 + 0 = 0. What is j?
-2, -2/11, 0
Suppose -4 = -6*l + 8. Let d(n) be the first derivative of l + 3*n**2 + 4*n + 2/3*n**3. Factor d(s).
2*(s + 1)*(s + 2)
Let l(y) be the first derivative of -1/3*y**3 - y**2 + 2 + 0*y - 1/6*y**4 - 1/30*y**5. Let v(i) be the second derivative of l(i). Factor v(r).
-2*(r + 1)**2
Let n(v) be the second derivative of 3*v**5/50 + v**4/30 - 2*v**3/15 + 7*v. Find y such that n(y) = 0.
-1, 0, 2/3
Let w be 3 + 0*3/(-6). What is t in 4 + 13*t**2 - 4 + w*t - t**2 = 0?
-1/4, 0
Let z(y) be the second derivative of 1/27*y**3 - 1/27*y**4 + 1/9*y**2 + 1/189*y**7 + 1/135*y**6 - 1/45*y**5 + 7*y + 0. Factor z(h).
2*(h - 1)**2*(h + 1)**3/9
Find u, given that -4/3*u**3 + 4/3 + 4*u**2 - 4*u = 0.
1
Let h be (-636)/(-54) + (-2)/(-9). Suppose g + h = 5*g. What is a in 1/3 + 2*a**2 + 4/3*a + 1/3*a**4 + 4/3*a**g = 0?
-1
Let u(p) be the third derivative of p**5/60 + p**4/12 - 4*p**3/3 + 4*p**2. Factor u(h).
(h - 2)*(h + 4)
Find t, given that 0 - 32/5*t + 4/5*t**4 + 48/5*t**2 - 24/5*t**3 = 0.
0, 2
Let b = -13 + 17. Suppose -3*s - 5*y + b = 0, s - y + 3*y - 1 = 0. Factor -4/9 + 4/9*i**2 - 2/9*i**s + 2/9*i.
-2*(i - 2)*(i - 1)*(i + 1)/9
Let j(s) be the first derivative of s**4/6 - 2*s**3/9 - 23. Let j(t) = 0. Calculate t.
0, 1
Let n be 0 + (0 - 198/15). Let m = n + 14. Determine w so that 2/5 - m*w**2 - 7/5*w = 0.
-2, 1/4
Let o(u) be the second derivative of -2*u**6/15 - 7*u**5/20 + u**4/6 + 2*u - 1. Factor o(x).
-x**2*(x + 2)*(4*x - 1)
Suppose -3*y - 4 = -4. Let m(b) be the second derivative of b - 1/3*b**2 + 0 + y*b**3 + 1/18*b**4. Factor m(h).
2*(h - 1)*(h + 1)/3
Suppose u**2 - 5*u**2 + 4*u + 4*u = 0. Calculate u.
0, 2
Let m = -83 - -88. Let c(o) be the second derivative of -1/24*o**3 + 1/80*o**m + 0 + 0*o**2 + 2*o + 0*o**4. Factor c(w).
w*(w - 1)*(w + 1)/4
Let x(u) be the second derivative of u**4/30 - 8*u**3/15 + 16*u**2/5 - 11*u. Factor x(l).
2*(l - 4)**2/5
Let y(d) be the second derivative of 1/5*d**5 + 0*d**4 + 1/15*d**6 - 7*d + 0 - 2/3*d**3 - d**2. Factor y(s).
2*(s - 1)*(s + 1)**3
Let y(j) be the second derivative of j**6/15 - 16*j**4/3 + 256*j**2 - 2*j. Solve y(c) = 0.
-4, 4
Let t be (9/12)/(6/16). Factor -4*o**2 + 12*o**t - 6*o**2 + 9*o**3.
o**2*(9*o + 2)
Let i = 258 + -240. Let 27/4*a**5 - i*a**4 + 3*a**3 - 39/4*a + 3/2 + 33/2*a**2 = 0. Calculate a.
-1, 1/3, 1, 2
Let s(g) be the third derivative of -g**8/336 + g**6/120 - 3*g**2. Factor s(v).
-v**3*(v - 1)*(v + 1)
Let q = 564 + -562. Factor 0 - 3/5*b**q + 6/5*b - 6/5*b**3 + 3/5*b**4.
3*b*(b - 2)*(b - 1)*(b + 1)/5
Let c(u) be the third derivative of u**8/336 + u**7/210 - u**6/24 + u**5/20 - 19*u**2. Find b, given that c(b) = 0.
-3, 0, 1
Factor 4*c**2 + 87*c**5 + 0*c**2 - 88*c**5 - 6*c**3 + 4*c**4 - c.
-c*(c - 1)**4
Let q be ((-2)/(-6))/((-28)/(-56)). Factor 2/3*y**3 - 1/3 + 0*y**2 + 1/3*y**4 - q*y.
(y - 1)*(y + 1)**3/3
Suppose 21*s - 20 = 11*s. Let -2*i - 2/3*i**3 + 2/3 + s*i**2 = 0. Calculate i.
1
Let g(r) be the first derivative of -r**6/12 + r**4/4 - r**2/4 - 8. Suppose g(n) = 0. Calculate n.
-1, 0, 1
Let p(w) be the first derivative of -2*w**3/51 + 7*w**2/17 - 30. Suppose p(y) = 0. Calculate y.
0, 7
Suppose -6*r + 5 = -13. Let x be r/(-42) - 4/(-7). Factor 1/4*t**3 + 0 + x*t + 3/4*t**2.
t*(t + 1)*(t + 2)/4
Suppose -2*n - 3*b = -20, -n + 4*b = 3*b. Determine g so that 0*g**5 - n*g**3 + 2*g**2 + 4*g**5 - 4*g**4 + 3*g**2 - g**2 = 0.
-1, 0, 1
Let s be 2/(-4) + 3/6. Let n(r) be the second derivative of -3/40*r**5 + 2*r + 0 + s*r**2 + 1/8*r**4 - 1/12*r**3 + 1/60*r**6. Factor n(m).
m*(m - 1)**3/2
Let a(p) be the second derivative of 0*p**3 + 2/3*p**7 + 0 + 0*p**4 + 0*p**2 + 6*p + 1/2*p**6 + 1/10*p**5. Let a(k) = 0. What is k?
-2/7, -1/4, 0
Let s = 523/9 + -58. Let c(u) be the first derivative of -2/27*u**3 + s*u**2 + 3 + 2/9*u - 1/18*u**4. Factor c(w).
-2*(w - 1)*(w + 1)**2/9
Let r(z) = -z**2 + z + 1. Let l(s) = s**4 + s**3 - 5*s**2 + 3*s + 4. Let b = -11 - -8. Let n(x) = b*l(x) + 12*r(x). Determine u so that n(u) = 0.
-1, 0, 1
Let i(t) be the first derivative of -t**3/2 - 3*t**2/2 - 3*t/2 - 11. Determine q so that i(q) = 0.
-1
Let b be ((-1)/48)/((-5)/10). Let a(z) be the second derivative of 0 + z**2 + 2*z + b*z**4 - 1/3*z**3. Factor a(u).
(u - 2)**2/2
Let b(g) be the second derivative of g + 0*g**2 + 0 - 1/42*g**4 - 2/21*g**3. Factor b(h).
-2*h*(h + 2)/7
Let r(u) = -u**2 - 6*u + 5. Let m be r(-6). Suppose 2*v - 7 + 0 = -m*b, 5*v + 17 = -b. Find p such that -b*p**3 - p**3 + 4*p**2 - 2*p**2 + 2*p**4 + 0*p**3 = 0.
0, 1
Let t(m) = -14*m**3 + 61*m**2 + 36*m - 50. Let s(l) = -3*l**3 + 12*l**2 + 7*l - 10. Let h(z) = 11*s(z) - 2*t(z). Factor h(d).
-5*(d - 2)*(d - 1)*(d + 1)
Let f(q) be the third derivative of -q**7/840 - q**6/120 + 2*q**3/3 + 5*q**2. Let z(r) be the first derivative of f(r). Factor z(g).
-g**2*(g + 3)
Let g(v) = v + 14. Let p be g(-11). Suppose 1 = 2*f - p. What is z in 2 - 2*z**2 - 6*z - 4 - f + 0*z**2 = 0?
-2, -1
Let z = -51/2 - -26. Let w = 384 - 382. Factor 1/4*g**3 + z - 1/4*g - 1/2*g**w.
(g - 2)*(g - 1)*(g + 1)/4
Let b = 6 - 4. Let t be 7/4 + (-1)/(-4). Let 2*k**b - t*k**2 - 3*k**2 - 1 + 4*k = 0. What is k?
1/3, 1
Let z(n) be the third derivative of -n**7/350 - n**6/40 - 9*n**5/100 - 7*n**4/40 - n**3/5 - 7*n**2. Find h such that z(h) = 0.
-2, -1
Let k(w) = -w**3 - 5*w**2 + 4*w - 7. Let d be k(-6). Let n(m) = m**2 - 5*m + 2. Let a be n(d). Suppose 2*s**3 + 2*s**a - 4*s**2 + 0*s**3 = 0. Calculate s.
0, 1
Let c = 959/110 - 109/10. Let g = 212/77 + c. Factor 2/7*y**2 + 6/7*y + g.
2*(y + 1)*(y + 2)/7
Let n(y) be the third derivative of y**7/70 - 29*y**6/120 + 21*y**5/20 + 15*y**4/8 - 25*y**3/3 - 13*y**2. Solve n(g) = 0.
-1, 2/3, 5
Let q(g) be the third derivative of -g**7/42 + g**6/12 + g**5/3 - 5*g**4/3 + 38*g**2. Factor q(y).
-5*y*(y - 2)**2*(y + 2)
Let x(c) = -c**3 - c**2 - c - 1. Let g(r) = -3*r**2 + 2. Let n(v) = g(v) + 2*x(v). Factor n(h).
-h*(h + 2)*(2*h + 1)
Let z(x) = -4*x**4 + 12*x**3 + 8*x**2 + 6*x. Let b(w) = 11*w**2 - 18*w**2 + w + w**3 + 8*w**2 - w**4. Let f(p) = 14*b(p) - 2*z(p). Factor f(n).
-2*n*(n + 1)**2*(3*n - 1)
Let o = 18 + -14. Suppose 12*j - 14*j = -o. Factor 1/2*n**j + 1/2 - n.
(n - 1)**2/2
Factor 0*h**4 + 0*h + 0*h**2 + 1/3*h**3 + 0 - 1/3*h**5.
-h**3*(h - 1)*(h + 1)/3
Suppose 971 - 991 = -5*x. Factor 1/6*f**x + 1/6*f**3 + 0 + 0*f + 0*f**2.
f**3*(f + 1)/6
Let t(l) be the first derivative of 1 + 0*l**2 - 6/25*l**5 + 0*l - 1/2*l**4 - 4/15*l**3. Suppose t(i) = 0. Calculate i.
-1, -2/3, 0
Factor -2*j + 24*j**3 + 3*j - 2*j**2 - 23*j**3.
j*(j - 1)**2
Suppose 2*o + 24 = 2*v - 12, -3*v + 86 = -5*o. Let t be 2/4*o/(-2). What is c in -1/2 + 21/4*c**5 + 11/2*c**2 - 6*c**3 - 5*c**t + 3/4*c = 0?
-1, -1/3, 2/7, 1
Let k(f) = -f**3 + 15*f**2 - 52*f - 24. Let b be k(7). Suppose 0*q + 0 + 0*q**2 + 1/2*q**b + 0*q**3 = 0. What is q?
0
Let q(c) be the second derivative of c**7/4200 - c**6/400 + c**5/100 - c**4/6 + 5*c. Let d(u) be the third derivative of q(u). Factor d(g).
3*(g - 2)*(g - 1)/5
Let g(k) be the third derivative of k**8/30240 - k**7/11340 - k**6/3240 + k**5/540 - k**4/4 - 2*k**2. Let q(r) be the second derivative of g(r). Solve q(o) = 0.
-1, 1
Let t(j) be the third derivative of -1/4*j**5 - 2*j**3 + 0 + j**4 + 0*j - 8*j**2 + 1/40*j**6. Factor t(f).
3*(f - 2)**2*(f - 1)
Let m(b) be the second derivative of -3*b**5/20 - b**4/4 + b**3/2 + 3*b**2/2 + 13*b. Let m(i) = 0. Calculate i.
-1, 1
Let j(t) = -5*t**3 - 8*t**2 - t - 2. Let r(w) = -5 + 5 - 3*w**2 - w + 4*w**2 + w**3. Let l(x) = j(x) + 4*r(x). Factor l(n).
-(n + 1)**2*(n + 2)
Let u = 2 - -7. Let f(a) = 11*a**4 + 4*a**3 - 2*a**2 - 13*a. Let n(g) = 5*g**4 + 2*g**3 - g**2 - 6*g. Let p(c) = u*n(c) - 4*f(c). Factor p(h).
h*(h - 1)*(h + 1)*(h + 2)
Let i(a) be the second derivative of 0*a**5 + 0*a**2 +