tive of 1/42*y**4 + 4*y - 1/7*y**2 + 0*y**3 + 0. Let p(w) = 0. What is w?
-1, 1
Solve -p**2 + 10*p - 6*p**2 + 3*p**2 - p**2 + 15 = 0.
-1, 3
Let x(r) be the third derivative of -r**6/32 + 11*r**5/40 - 7*r**4/8 + r**3 - 6*r**2. Factor x(w).
-3*(w - 2)**2*(5*w - 2)/4
Let k = 23/39 + 1/13. Let 1/3*m**3 + 0 - k*m - 1/3*m**2 = 0. What is m?
-1, 0, 2
Let h(g) be the first derivative of -2 + 2/5*g**2 - 6/5*g - 2/25*g**5 - 1/5*g**4 + 8/15*g**3. Solve h(k) = 0 for k.
-3, -1, 1
Let o(g) = g**2 + 7*g + 4. Let p be o(-7). Suppose -p = -0*l - l. Let 0*r**2 - 1/5*r**5 + 0 + 1/5*r**3 + 0*r**l + 0*r = 0. What is r?
-1, 0, 1
Let t = 8 - 5. What is i in 0*i**2 - 2/9*i**4 + 0*i + 0 + 4/9*i**t = 0?
0, 2
Let b = 14 + -16. Let s be (-1)/(-4 - (b - -2)). Find l such that 0 - 1/4*l + 1/2*l**2 - s*l**3 = 0.
0, 1
Suppose u + b = -2*b + 13, -3*u = 3*b - 15. Factor 1/2*p**2 + u + 3/2*p.
(p + 1)*(p + 2)/2
Let s = -956 + 960. Solve s + 4/3*n**2 - 16/3*n = 0 for n.
1, 3
Let k(i) = -i**4 - 3*i**3 + 4*i**2 - 5*i. Let d(z) = z**4 + 2*z**3 - 3*z**2 + 4*z. Let a(n) = 5*d(n) + 4*k(n). Suppose a(f) = 0. What is f?
0, 1
Suppose 4*u = 2*z - 248, -5*u + 4*u - 3*z = 69. Let g = 193/3 + u. Factor -g*m**2 + 2/3*m**5 + 4/3*m**4 + 0 - 2/3*m + 0*m**3.
2*m*(m - 1)*(m + 1)**3/3
Let x be -2*(249/50 + -4) - -2. Let w(c) be the first derivative of -x*c**5 - 3/20*c**4 - 1/10*c**2 + 0*c - 1/5*c**3 - 3. Factor w(y).
-y*(y + 1)**3/5
Let l = 29 + -53. Let k = -24 - l. Solve 2/3*c**3 + k + 2/3*c**2 - 2/3*c - 2/3*c**4 = 0.
-1, 0, 1
Let r(g) be the third derivative of -g**6/90 - g**5/15 - g**4/8 - g**3/9 - 16*g**2. Solve r(y) = 0.
-2, -1/2
Let i = -99/2 - -50. Let r(q) be the second derivative of -i*q**3 + 0 + 2*q - 3/4*q**4 + 3*q**2. Let r(m) = 0. Calculate m.
-1, 2/3
Let x(p) = -4*p - 7. Let y be x(5). Let j be 112/18 + 6/y. Solve -j - 2*n**2 + n**2 + 4 + 3*n = 0 for n.
1, 2
Let j(l) be the third derivative of l**8/840 + l**7/420 - l**6/90 + l**3/2 - l**2. Let b(p) be the first derivative of j(p). Let b(w) = 0. Calculate w.
-2, 0, 1
Let x(m) = m**2 + 4*m - 10. Let u be x(-6). Let 5*k**2 + 4*k + 8 - 5*k**2 - 4*k**u = 0. Calculate k.
-1, 2
Let t be (-6)/(-5)*18/36. Find p, given that t*p**2 - 3/5*p**3 + 0 + 6/5*p = 0.
-1, 0, 2
Let k(j) be the second derivative of j**6/540 + j**5/60 + j**4/18 + j**3/2 - 2*j. Let a(d) be the second derivative of k(d). Solve a(h) = 0 for h.
-2, -1
Let d(r) = -5*r**2 - r + 4. Let u(q) = -9*q**2 - 2*q + 7. Let n(o) = 11*d(o) - 6*u(o). What is y in n(y) = 0?
-1, 2
Let x be -12*(-3 - 24/(-9)). Solve -3 + r**2 - x*r**2 + 0*r - 2*r - 4*r = 0.
-1
Let l = 2/535 - -531/1070. Solve -l*o - o**2 + 1/2*o**3 + 1 = 0 for o.
-1, 1, 2
Let d(u) = -u**2. Let o(r) = 2*r**2 + 2*r - 2. Let m(f) = -3*d(f) - o(f). Let y be m(4). Factor 2*h + 9*h**2 + 7*h**5 + h**4 + 15*h**3 - 4*h**5 + y*h**4.
h*(h + 1)**3*(3*h + 2)
Let k(m) be the second derivative of -m**6/180 + m**5/45 - m**4/36 - m**2 - 5*m. Let v(g) be the first derivative of k(g). What is f in v(f) = 0?
0, 1
Let r(m) be the third derivative of 0*m**4 + 0 + 1/120*m**5 + 0*m - 2*m**2 - 1/12*m**3. Solve r(s) = 0.
-1, 1
Let a(b) = -b - 1. Let l be a(2). Let y be ((-3)/4)/(l/20). Suppose -4/7*v**3 + 2/7*v + 2/7*v**y + 0*v**2 + 0*v**4 + 0 = 0. What is v?
-1, 0, 1
Let r(c) be the third derivative of 0 + 4/5*c**5 + 3/35*c**7 - 9/8*c**4 + c**3 + 0*c - 7/20*c**6 - 1/112*c**8 + 11*c**2. Factor r(y).
-3*(y - 2)*(y - 1)**4
Let w(m) be the first derivative of 3*m**4/20 + 15. Factor w(c).
3*c**3/5
Suppose h + 5*d = 5*h - 33, -3*d = 15. Factor 0 + 2/5*y - 1/5*y**h - 3/5*y**3.
-y*(y + 1)*(3*y - 2)/5
Let f be 2 - 2/(-96)*-94. Let p(o) be the third derivative of 1/20*o**5 + 0 - f*o**4 - 1/40*o**6 - o**2 + 0*o + 1/210*o**7 + 0*o**3. Factor p(w).
w*(w - 1)**3
Factor 0 - 1/3*w**3 - 2/3*w**2 + 0*w + 1/3*w**4.
w**2*(w - 2)*(w + 1)/3
Let c(u) be the second derivative of u**5/90 - u**4/18 + 2*u**3/27 - 11*u - 1. Solve c(f) = 0.
0, 1, 2
Let i be (1 - 5)*28/(-98). Factor -2/7*a**2 - 6/7 + i*a.
-2*(a - 3)*(a - 1)/7
Let g(w) be the first derivative of 3/25*w**5 + 1/30*w**6 + 0*w**2 + 0*w + 1/15*w**3 + 3/20*w**4 - 3. Factor g(p).
p**2*(p + 1)**3/5
Suppose -2 + 0 + 3*q**2 - 5 + 4 = 0. Calculate q.
-1, 1
Let b(a) be the third derivative of 0 + 1/1680*a**8 + 0*a**4 + 0*a**5 + 0*a**3 - 1/600*a**6 - 3*a**2 + 0*a + 0*a**7. Solve b(p) = 0 for p.
-1, 0, 1
Let w = 3 + -1. Let q(r) be the first derivative of 0*r**w - 2 - 1/12*r**4 - 1/18*r**6 - 2/15*r**5 + 0*r + 0*r**3. Factor q(z).
-z**3*(z + 1)**2/3
Let s(i) = -13*i**3 - 3*i**2 - 21*i - 13. Let c(g) = -3*g**3 - g**2 - 5*g - 3. Let z(f) = 9*c(f) - 2*s(f). Suppose z(u) = 0. Calculate u.
-1
Let j(r) be the second derivative of 5*r**5/4 - 35*r**4/6 + 22*r**3/3 - 4*r**2 + 9*r. Find u such that j(u) = 0.
2/5, 2
Let b(k) be the third derivative of k**6/280 + k**5/140 - k**4/56 - k**3/14 + 7*k**2. Factor b(d).
3*(d - 1)*(d + 1)**2/7
Let d = -8 + 10. Let g(s) be the second derivative of -1/10*s**5 - 1/6*s**4 + 0*s**2 - d*s + 0*s**3 + 0. Determine w so that g(w) = 0.
-1, 0
Let u(a) be the second derivative of 0 + a - 1/36*a**3 - 1/6*a**2 + 1/72*a**4. Suppose u(o) = 0. What is o?
-1, 2
Suppose 3 + 0*s - 3/4*s**2 = 0. Calculate s.
-2, 2
Let f(r) = r**3 - r**2 - 3*r - 3. Let l = 16 - 11. Let y(k) = 2*k**3 - k**2 - 5*k - 5. Let a(n) = l*f(n) - 3*y(n). Factor a(o).
-o**2*(o + 2)
Let v(h) be the second derivative of 0*h**2 + 3*h - 7/1440*h**6 - 1/24*h**4 - 1/6*h**3 + 0 - 1/30*h**5. Let i(g) be the second derivative of v(g). Factor i(f).
-(f + 2)*(7*f + 2)/4
Let a(n) be the second derivative of n**5/70 - n**4/14 + 4*n**2/7 + 6*n. Suppose a(s) = 0. What is s?
-1, 2
Suppose -5*d - 7 + 22 = 0. Let o(x) be the first derivative of -2/15*x**d - 1/5*x**2 + 0*x - 3. Determine v so that o(v) = 0.
-1, 0
Let f(x) be the second derivative of -x**5/20 + x**4/3 - 2*x**3/3 - 5*x. Factor f(l).
-l*(l - 2)**2
Let a = -4 - -6. Suppose -4*h = 22 - 6, 5*m = -a*h + 2. Suppose 0*n**m - 2*n**2 + n**2 + n = 0. What is n?
0, 1
Let o(m) be the third derivative of 5*m**8/336 - m**7/14 + m**6/12 + m**5/6 - 5*m**4/8 + 5*m**3/6 + 18*m**2. Factor o(b).
5*(b - 1)**4*(b + 1)
Let j(n) be the first derivative of n**4/48 - n**3/6 + n**2/2 + 2*n + 4. Let y(d) be the first derivative of j(d). Suppose y(i) = 0. Calculate i.
2
Suppose 0 = -3*i - 2*j + 18 + 18, -4*j - 12 = -i. Suppose -5*l - i = -8*l. Factor 4*o + l*o**2 - 1 - 3*o**2 - 4*o**3 + 0*o.
-(o - 1)*(o + 1)*(4*o - 1)
Let r(f) be the second derivative of 9*f**6/10 + 9*f**5/20 - 2*f**4 - 2*f**3 + 14*f. What is o in r(o) = 0?
-2/3, 0, 1
Let b(w) be the second derivative of w**4/21 - 2*w**3/7 + 4*w**2/7 + 9*w. Factor b(x).
4*(x - 2)*(x - 1)/7
Factor -2/7*b + 2/7*b**5 + 0 + 4/7*b**2 + 0*b**3 - 4/7*b**4.
2*b*(b - 1)**3*(b + 1)/7
Suppose 17 = 4*b + h, 5*h + 3 - 19 = 3*b. Factor -2*n**3 - n**2 + n**2 + n**b.
-n**3
Let c be (-10)/15*(-6)/8. Determine p so that -1/2*p**4 - p**3 + 0 + 0*p - c*p**2 = 0.
-1, 0
Let w(h) be the third derivative of 0*h**5 - 1/1050*h**7 + 0 + 0*h**3 + 0*h**4 + 0*h + 0*h**6 + h**2. Factor w(n).
-n**4/5
Let b = -23/12 - -13/4. Factor b*v + 2/9*v**2 + 2.
2*(v + 3)**2/9
Factor 0 - 2/3*i**5 + 0*i + 2/3*i**3 - 2/3*i**4 + 2/3*i**2.
-2*i**2*(i - 1)*(i + 1)**2/3
Let l(p) = 9*p**4 - p**3 + 5*p**2 - 5*p + 5. Let f(a) = 8*a**4 + 4*a**2 - 4*a + 4. Let b(j) = 5*f(j) - 4*l(j). Factor b(n).
4*n**3*(n + 1)
Find h, given that 14*h + 34*h - 24 - 4*h**2 - 23*h + 27*h - 8*h**3 = 0.
-3, 1/2, 2
Let j(q) be the third derivative of q**5/60 + q**4/12 + q**3/6 - 5*q**2. Factor j(p).
(p + 1)**2
Let p(y) be the second derivative of -2*y**6/15 - y**5 - 3*y**4 - 14*y**3/3 - 4*y**2 + 12*y. Factor p(o).
-4*(o + 1)**3*(o + 2)
Let v(i) = 2*i**2 + 2*i + 6. Let y(x) = 2*x**2 + x + 6. Let l(w) = -7*v(w) + 6*y(w). Factor l(k).
-2*(k + 1)*(k + 3)
Factor -2/3*w**4 - 2/3*w**3 + 0*w**2 + 0*w + 0.
-2*w**3*(w + 1)/3
Let c(r) be the third derivative of -r**7/315 - r**6/36 - r**5/10 - 7*r**4/36 - 2*r**3/9 + 4*r**2. Factor c(j).
-2*(j + 1)**3*(j + 2)/3
Let z(g) be the second derivative of -4*g + 0 - 1/18*g**4 + 0*g**2 + 2/9*g**3. Factor z(r).
-2*r*(r - 2)/3
Let z(g) = -3*g**2 - 6*g. Let x = -20 + 23. Let a(v) = -3*v**2 - 7*v. Let q(f) = x*a(f) - 2*z(f). What is b in q(b) = 0?
-3, 0
Let b = -11 - -37/3. Determine q so that -14/3*q**2 + 0 - 6*q**3 + b*q = 