u. Let p(r) = r**2 - 2*r - 2. Let y(h) = 6*d(h) - 15*p(h). Factor y(l).
3*l**2
Let l(z) be the third derivative of 0 + 0*z - 2/9*z**3 - 2/45*z**6 - 4/105*z**7 - z**2 + 1/10*z**5 + 1/12*z**4. Determine q so that l(q) = 0.
-1, -2/3, 1/2
Let n = -3 + 6. Factor 0 - 7*y**2 + 0 - 6*y - 15*y**n + 28*y**2.
-3*y*(y - 1)*(5*y - 2)
Suppose -6*m - 329 = 199. Let d be (-6)/(-8)*m/(-99). Suppose 0*y - d*y**2 + 2/3*y**3 + 0 = 0. What is y?
0, 1
Let q(t) = 3*t**4 + 27*t**3 + 9*t**2 + 15*t - 15. Let d(j) = j**4 + 7*j**3 + 2*j**2 + 4*j - 4. Let w(y) = 15*d(y) - 4*q(y). Determine p so that w(p) = 0.
-1, 0, 2
Let v(p) be the first derivative of 0*p - 5 - 3/4*p**4 + 0*p**2 - p**3. Find u, given that v(u) = 0.
-1, 0
Let f be (13/((-455)/154) + 4)*-1. Solve -2/5*g**2 + 0 + 1/10*g**3 + f*g = 0 for g.
0, 2
Let t be -1*4 - (14/(-8) - 3). Factor 3/4*m**3 + 1/4*m - 1/4*m**4 - t*m**2 + 0.
-m*(m - 1)**3/4
Let p be (-2)/12 - (-57)/18. Let u(z) be the third derivative of 0*z**p + 1/30*z**5 - 1/240*z**6 + 0*z + 1/48*z**4 - 1/105*z**7 + 0 - 2*z**2. Factor u(n).
-n*(n - 1)*(n + 1)*(4*n + 1)/2
Let w(a) be the second derivative of -a**6/1440 - a**5/240 - a**4/96 - a**3/6 + a. Let k(h) be the second derivative of w(h). Let k(m) = 0. What is m?
-1
Solve 0 - 3/7*h - 9/7*h**2 = 0.
-1/3, 0
Factor -4/7*p**2 - 64/7 - 32/7*p.
-4*(p + 4)**2/7
Let n(w) be the second derivative of -w**6/45 + w**4/6 + 2*w**3/9 + 17*w. Determine c, given that n(c) = 0.
-1, 0, 2
Let w(m) = -m**3 - 7*m**2 - 4. Let g(s) = -s**2. Let z(j) = 4*g(j) - w(j). Let n(h) be the first derivative of z(h). Factor n(l).
3*l*(l + 2)
Let p(h) be the third derivative of h**9/20160 - h**7/1680 + h**5/60 - 5*h**2. Let x(r) be the third derivative of p(r). Let x(f) = 0. Calculate f.
-1, 0, 1
Suppose p + 3 = 3*c - 4*c, 2*p + 5*c = -15. Factor p - 1/4*g**3 + 0*g - 1/4*g**2.
-g**2*(g + 1)/4
Let f(c) be the second derivative of c**8/420 - c**7/168 + c**6/360 + 2*c**3/3 + 3*c. Let z(k) be the second derivative of f(k). Factor z(d).
d**2*(d - 1)*(4*d - 1)
Let z be (7/21)/((-2)/6). Let x be -6 - -4 - 2*z. Factor x*s**2 + 1/2*s**4 + 0 + 1/2*s**3 + 0*s.
s**3*(s + 1)/2
Let j(f) be the first derivative of 4/9*f - 1 - 4/27*f**3 - 1/3*f**2 + 1/6*f**4. Suppose j(t) = 0. What is t?
-1, 2/3, 1
Let t(s) be the first derivative of -2*s**5/5 - 2*s**4 - 10*s**3/3 - 2*s**2 - 1. Let t(w) = 0. Calculate w.
-2, -1, 0
Let u(a) be the third derivative of -a**9/30240 - a**8/5040 - a**7/2520 + a**5/30 - 3*a**2. Let i(k) be the third derivative of u(k). Factor i(g).
-2*g*(g + 1)**2
Suppose -4*s**2 + 2*s**3 - 4*s**3 + 2*s**2 + 8*s**4 - 4*s**4 = 0. What is s?
-1/2, 0, 1
Suppose 5*b + 4*g + 1 = 3, 0 = -4*g - 8. Let x(o) be the second derivative of -b*o + 0 + 1/60*o**4 + 2/5*o**2 - 2/15*o**3. Find c such that x(c) = 0.
2
Factor -4/7*v**2 + 0 + 8/7*v.
-4*v*(v - 2)/7
Let a be (-2)/(-1*(-2)/(-206)). Let o = 1033/5 - a. Factor -9/5*y - 3/5*y**3 - o - 9/5*y**2.
-3*(y + 1)**3/5
Let h(v) be the first derivative of v**4/6 + 2*v**3/3 - 3*v**2 + 10*v/3 + 24. Solve h(k) = 0 for k.
-5, 1
Let s(r) = -r**3 + r + 1. Let v(k) = -4*k**3 + 3*k**2 + 8*k + 6. Let p be (-14 - -5)*(-2)/6. Let d(z) = p*v(z) - 15*s(z). Solve d(c) = 0 for c.
-1
Let a = -3 - -3. Suppose -2*g + 5*n + 29 = -a*g, -n = 3*g - 1. Determine w so that 2 + 2 + 3*w**4 + 1 - g - 12*w**3 - 12*w + 18*w**2 = 0.
1
Let a = 15 + -17. Let h be -1*a/10*2. Factor 0 + h*z**2 - 2/5*z.
2*z*(z - 1)/5
Let y(g) = -g**2 - 2*g + 3. Let d be y(-3). Find n, given that 0*n**2 + d + 0*n + 2/11*n**4 + 0*n**3 = 0.
0
Let m = 177 - 173. Factor -p + 0 - p**2 + p**m + 3/4*p**3 + 1/4*p**5.
p*(p - 1)*(p + 1)*(p + 2)**2/4
Let z be 0*(-2)/(-12)*-3. Let v(y) be the first derivative of 0*y - 2 + z*y**2 + 4/15*y**3 - 1/10*y**4. Factor v(j).
-2*j**2*(j - 2)/5
Solve 4/3*o - 8/3 + 1/6*o**4 - 4/3*o**3 + 5/2*o**2 = 0 for o.
-1, 1, 4
Let b(o) = o**2 - 6*o - 5. Let c be b(7). Factor -1/3*n**c + 2/3 - 1/3*n.
-(n - 1)*(n + 2)/3
Let r(p) be the third derivative of p**5/12 - 5*p**4/2 + 30*p**3 + 8*p**2. Factor r(v).
5*(v - 6)**2
Let z(l) be the second derivative of -l**6/1020 + l**5/102 - l**4/68 - 3*l**3/17 - 3*l**2/2 + 6*l. Let w(d) be the first derivative of z(d). Factor w(g).
-2*(g - 3)**2*(g + 1)/17
Suppose 6*z**4 + z**2 - 25*z**2 - 21*z + 77*z**3 - 83*z**3 - 6 + 3*z**5 = 0. Calculate z.
-1, 2
Let f(j) be the second derivative of -j**6/180 + j**5/120 + j**4/24 - 5*j**3/36 + j**2/6 + 29*j. Factor f(g).
-(g - 1)**3*(g + 2)/6
Factor -4*v**2 + 2*v + 41*v + 13*v - 196.
-4*(v - 7)**2
Let j(s) = -s - 6. Let y(q) = -q + 1. Let w be y(7). Let o be j(w). Factor 0*p**2 + o*p + 0*p**3 + 0 + 1/4*p**4.
p**4/4
Let 9/5 + 1/5*t**2 - 6/5*t = 0. What is t?
3
Let j(b) = b**2 + b. Let d be j(-2). Factor 3*q - q**2 + d*q - 4*q.
-q*(q - 1)
Suppose 0*j + j = 11. Suppose 3*k - j - 14 = -5*h, -3*k + 13 = -h. Solve p**h + 0*p + p - 2*p**2 = 0.
0, 1
Let -12*z + 8 + 0*z + 73*z**2 - 69*z**2 = 0. Calculate z.
1, 2
Suppose -4*y - 16 = 0, 0 = 3*s + 4*y + 16 + 24. Let t = s + 14. Suppose 16*v**4 - t*v**5 - 16*v**2 - 6*v**3 + 17*v**3 - 9*v**5 + 4*v = 0. What is v?
-1, 0, 2/5, 2/3, 1
Let q(y) = 2*y - 16. Let x be q(11). Factor 0*d**5 + 4*d + 3*d**5 - x*d**3 - d + 0*d.
3*d*(d - 1)**2*(d + 1)**2
Let s(m) = -m - 5. Let i be s(-7). Factor d + d**2 + d**2 + 2 - 4*d**i - 1.
-(d - 1)*(2*d + 1)
What is t in 4*t + 2 + 5/2*t**2 + 1/2*t**3 = 0?
-2, -1
Let p = 7 - 4. Factor 9/4*w**p + 4*w - 1 - 21/4*w**2.
(w - 1)*(3*w - 2)**2/4
Let s be 2/7 + 8/70. Let q = -83 - -83. Factor -s*a**2 + 0 + q*a - 4/5*a**3 - 2/5*a**4.
-2*a**2*(a + 1)**2/5
Let s be ((-581)/70 - -8)/(6/(-8)). Factor 0*v + s*v**5 + 8/5*v**4 + 2*v**3 + 4/5*v**2 + 0.
2*v**2*(v + 1)**2*(v + 2)/5
Find f, given that 40/23*f + 74/23*f**2 + 8/23 + 60/23*f**3 + 18/23*f**4 = 0.
-1, -2/3
Let l(q) be the first derivative of -4*q**5/5 + 3*q**4 - 4*q**3 + 2*q**2 - 6. Factor l(u).
-4*u*(u - 1)**3
Let x(v) = v**4 - 3*v**3 - 5*v**2 + 9*v + 4. Let m(s) = -4*s**4 + 16*s**3 + 24*s**2 - 44*s - 20. Let c(j) = 3*m(j) + 14*x(j). What is u in c(u) = 0?
-2, -1, 1
Let n(d) be the second derivative of d**4/6 + d**3 + 2*d**2 - 46*d. What is l in n(l) = 0?
-2, -1
Let t(r) = r**4 - r - 1. Let k(p) = p**4 + 8*p**3 - 6*p**2 - 11*p + 5. Let f(l) = l - 10. Let c be f(9). Let a(z) = c*k(z) + 3*t(z). What is m in a(m) = 0?
-1, 1, 2
Suppose 5*q - 31 = 4*u, 34 = 4*q - 5*u + 2. Solve -2*y**5 + 7*y**4 - 9*y**3 + 2*y**4 - y**5 + q*y**2 = 0.
0, 1
Suppose -y + 3*a - 3 = -0*a, -5*y - 4*a + 4 = 0. Solve y - 2/3*t**2 - 4/3*t**3 + 0*t - 2/3*t**4 = 0.
-1, 0
Let b(p) = 26*p + 808. Let m be b(-31). Let k be 4/15 + 1/3. Find g, given that k*g + 0 - 1/5*g**m = 0.
0, 3
Suppose 2*g + 0*g = 0. Let y = 3 + g. Factor -2/5*m + 4/5*m**y - 2/5 - 2/5*m**5 - 2/5*m**4 + 4/5*m**2.
-2*(m - 1)**2*(m + 1)**3/5
Let u be (-17 - -13) + -1*1*-7. Let t(a) be the second derivative of -1/21*a**u + 0*a**2 - 1/42*a**4 + 0 + a. Factor t(n).
-2*n*(n + 1)/7
Let l = 4/15 - -43/120. Let d = l + 1/24. Factor 2/3*z**4 + d + 0*z + 0*z**3 - 4/3*z**2.
2*(z - 1)**2*(z + 1)**2/3
Let v(i) = -2*i**2 - 8*i - 2. Let m(o) be the second derivative of 0*o**2 - 1/6*o**3 + 0 + 3*o + 1/12*o**4. Let c(y) = 2*m(y) - v(y). Factor c(z).
2*(z + 1)*(2*z + 1)
Let v(y) be the first derivative of 2/7*y**2 + 1/14*y**4 + 2/7*y**3 + 0*y - 1. Determine j so that v(j) = 0.
-2, -1, 0
Let r(c) be the second derivative of -2*c**2 + 1/90*c**6 + 0 - 2/9*c**3 - 5/36*c**4 - 1/90*c**5 + 4*c. Let j(f) be the first derivative of r(f). Factor j(q).
2*(q - 2)*(q + 1)*(2*q + 1)/3
Let m(j) be the second derivative of -j**7/84 + 2*j**6/15 - 5*j**5/8 + 19*j**4/12 - 7*j**3/3 + 2*j**2 - 20*j. Factor m(t).
-(t - 2)**3*(t - 1)**2/2
Suppose 53 = 5*s + 43. Factor 0 + 4/5*t - 2/5*t**3 - 2/5*t**s.
-2*t*(t - 1)*(t + 2)/5
Let h be (-3*2)/((-3)/2). Suppose 6*o**3 - o**4 - 4*o**2 + 13*o**5 - 3*o**h + o - 12*o**5 = 0. Calculate o.
0, 1
Let s(h) = -2*h**3 - 13*h**2 - 3*h + 8. Let g be s(-6). Let j be g/3 + -18 + 22. Determine t so that 0*t + j*t**2 + 0 + 2*t**3 + 2/3*t**5 + 2*t**4 = 0.
-1, 0
Let x(t) be the second derivative of -t**4/12 + 2*t**3/3 - 2*t**2 + t. Suppose x(n) = 0. Calculate n.
2
Suppose 0 = -d - 2*l + 9, 4*l - 21 = -6*d + 3*l. Factor -4*g + 0 + 4/3*g**d + 8/3*g**2.
4*g*(g - 1)*(g + 3)/3
Let l(z) be the third derivative of z**10/166320 - z**8/36960 + z**4/24 + 2