first derivative of 2*d**5/25 - d**4/10 - 2*d**3/5 + d**2/5 + 4*d/5 + 23. Determine s, given that i(s) = 0.
-1, 1, 2
Let f(w) = w**2 + 14*w - 38. Let c(n) = -5*n**2 - 57*n + 153. Let p(b) = 2*c(b) + 9*f(b). Let p(u) = 0. Calculate u.
6
Let h(j) be the second derivative of -j**8/16800 - j**7/6300 + j**6/1800 + j**5/300 - j**4/3 + 4*j. Let y(s) be the third derivative of h(s). Factor y(z).
-2*(z - 1)*(z + 1)**2/5
Let g(f) be the first derivative of 0*f - 1/240*f**5 - 1/2*f**2 + 0*f**3 - 1 - 1/480*f**6 + 0*f**4. Let p(c) be the second derivative of g(c). Factor p(x).
-x**2*(x + 1)/4
Suppose -5*r + 12 = -2*r. Let t(p) = p**3 - 5*p**2 + 4*p + 2. Let z be t(r). Factor 3/2*m**z + 1/2 - 1/2*m**3 - 3/2*m.
-(m - 1)**3/2
Suppose -42 - 3*b**3 - 3*b**2 + 12*b + 36 + 18 = 0. Calculate b.
-2, -1, 2
Suppose -4*m = 0, 6*i + 2*i = 3*i + m. Let i + 0*x - 1/3*x**2 = 0. Calculate x.
0
Let c(q) be the third derivative of q**7/70 - q**6/10 + 3*q**5/10 - q**4/2 + q**3/2 - 2*q**2. Determine y, given that c(y) = 0.
1
Let w(j) be the third derivative of j**6/60 + j**5/42 - 4*j**4/21 + 4*j**3/21 + 7*j**2. Factor w(g).
2*(g - 1)*(g + 2)*(7*g - 2)/7
Let y(o) be the second derivative of -o**7/840 - o**6/120 - o**5/60 - o**3/6 + 3*o. Let v(d) be the second derivative of y(d). What is r in v(r) = 0?
-2, -1, 0
Let q(u) = u - 3. Let m be q(3). Suppose m*p + 10 = 5*p. Solve -4*v**2 - 2 + 3*v**2 + 2*v**p - v = 0 for v.
-1, 2
Let p(b) = -3*b**2 + 33*b. Let n be p(11). Solve 0*h**3 + 1/6*h**4 + n + 0*h**2 + 0*h = 0 for h.
0
Let b(j) be the third derivative of -j**8/336 + j**6/60 - j**4/24 + 3*j**2. Factor b(c).
-c*(c - 1)**2*(c + 1)**2
Let x(q) be the first derivative of -q**3 - 3*q**2/2 + 6*q - 9. Factor x(a).
-3*(a - 1)*(a + 2)
Factor 1 + 117*c**2 + 40*c + 3 + 78*c**3 + 3*c**3.
(c + 1)*(9*c + 2)**2
Let 0*n + 1/2*n**2 + 0 = 0. Calculate n.
0
Let l(c) be the first derivative of 2*c**5/15 + 2*c**4/3 + 2*c**3/3 - 8. What is g in l(g) = 0?
-3, -1, 0
Let m(c) be the first derivative of -c**7/14 - c**6/10 + 3*c**5/20 + c**4/4 - 4*c - 2. Let z(x) be the first derivative of m(x). Suppose z(q) = 0. What is q?
-1, 0, 1
Let i = -13/90 - -1/6. Let g(u) be the second derivative of -1/9*u**3 + 1/30*u**5 + 0*u**2 + 0 - 1/18*u**4 + 3*u + i*u**6. Factor g(l).
2*l*(l - 1)*(l + 1)**2/3
Let a(o) be the third derivative of -o**5/360 - 7*o**4/36 - 49*o**3/9 - o**2. Factor a(q).
-(q + 14)**2/6
Let n(t) be the first derivative of 3*t**4 - 2/5*t**5 + 12*t**2 - 8*t - 7 - 26/3*t**3. Factor n(h).
-2*(h - 2)**2*(h - 1)**2
Suppose 0*k = 3*k. Suppose 0*s - s + 2 = k. Factor 2/7*w**s + 2/7*w + 0.
2*w*(w + 1)/7
Let o = 11/34 + 3/17. Factor o*j**4 - j**3 - 1/2 + 0*j**2 + j.
(j - 1)**3*(j + 1)/2
Let k(h) be the third derivative of 5*h**8/42 - 2*h**7/7 - h**6/12 + 11*h**5/12 - 5*h**4/4 + 5*h**3/6 + 10*h**2. Find b such that k(b) = 0.
-1, 1/2, 1
Let d = -54/5 + 11. Solve 9/5*j**2 + 2/5 + 7/5*j + d*j**4 + j**3 = 0.
-2, -1
Factor -8/17*b + 10/17 - 2/17*b**2.
-2*(b - 1)*(b + 5)/17
Let g(x) = x + 8. Let y be g(-6). Suppose 4*j - 4 = -2*a, 5*j + 0 = 2*a - 4. Factor d**2 - d**a - d**y - d**3.
-d**2*(d + 1)
Suppose -5*n - 5*f - 10 = 0, 5*f = -2*n - 11 - 8. Suppose 2*w - 10 = -n*w. What is p in w + p**2 - 4*p + 0*p**2 + p**2 = 0?
1
Let n = -1/60 + 5/12. Determine r, given that 0*r + 2/5*r**4 - 2/5*r**3 + 2/5*r**5 + 0 - n*r**2 = 0.
-1, 0, 1
Let a = 9/19 + 107/95. Let v(y) be the first derivative of -a*y + 4/5*y**2 - 2/15*y**3 + 2. Factor v(j).
-2*(j - 2)**2/5
Let h(p) be the second derivative of -p**4/24 + p**2 + 32*p. What is z in h(z) = 0?
-2, 2
Let d be 13 + (0 - -1) - 1. Find b, given that b + 3*b + d*b**2 - 11*b**2 + 2 = 0.
-1
Let s(q) be the third derivative of q**6/120 - q**5/15 + q**4/6 - 28*q**2. Let s(c) = 0. What is c?
0, 2
Let t(u) be the second derivative of u**6/300 + u**5/150 + u**2/2 - 2*u. Let p(s) be the first derivative of t(s). Determine m so that p(m) = 0.
-1, 0
Suppose -a = -5*a - a. Find v, given that a + 0*v + 1/4*v**4 + 0*v**2 - 1/2*v**3 = 0.
0, 2
Let x = -6 - -21. Let x*t + 4*t**3 - 10*t**4 - 6*t**2 - 12*t**3 - 2 - 7*t + 18*t**2 = 0. What is t?
-1, 1/5, 1
Let a(l) be the third derivative of l**6/600 + l**5/100 - 3*l**4/40 - 2*l**3/3 + 3*l**2. Let m(w) be the first derivative of a(w). Factor m(d).
3*(d - 1)*(d + 3)/5
Let l = 73/42 - 11/7. Suppose 5/3*d**3 - 7/2*d**4 - l + d**2 + 3/2*d**5 - 1/2*d = 0. Calculate d.
-1/3, 1
Determine r, given that 3/5 + 1/5*r**3 - r + 1/5*r**2 = 0.
-3, 1
Let r = 29 - 115/4. Determine z so that -r*z + 1/4*z**2 + 0 - 1/4*z**4 + 1/4*z**3 = 0.
-1, 0, 1
Factor 0 - 5/2*o**2 + 15/2*o.
-5*o*(o - 3)/2
Let v = -1 - 2. Let r be v/12 - 11/(-12). Factor 2*h + r*h**3 - 2*h**2 - 2/3.
2*(h - 1)**3/3
Suppose -6 = -4*v + 2*u, -2*v = -v + 2*u + 6. Let b be (20/5)/(2/1). Suppose 0 - 1/3*g**3 + v*g**b + 1/3*g = 0. What is g?
-1, 0, 1
Let n(b) be the first derivative of 5*b**3/18 + 5*b**2/12 - 3. Solve n(c) = 0 for c.
-1, 0
Suppose -6 = 3*r, 4*z - 2*r = 2*r - 16. Let j = 15 + z. Factor -9*m + 9*m**3 + j*m + 2*m**2.
m**2*(9*m + 2)
Let q = -151 - -605/4. Solve 0 + q*v - 1/4*v**2 = 0.
0, 1
Let c(r) be the second derivative of r**4/60 + r**3/30 - 12*r. Factor c(w).
w*(w + 1)/5
Let n(t) be the first derivative of 0*t**4 + 0*t + 3 + 1/240*t**6 - 1/120*t**5 + t**2 + 0*t**3. Let x(k) be the second derivative of n(k). Factor x(z).
z**2*(z - 1)/2
Let z be 2/7 - 95/(-35). Suppose 4*q = z*s + 4, -2*q = 3*q + s - 5. Factor 3 + 0 + 2*d**3 + q - 4*d**2 - 2*d + 0*d.
2*(d - 2)*(d - 1)*(d + 1)
Suppose -5*n - 25 = -5*z, -n + 15 = n + 3*z. Let a(q) be the third derivative of 0*q + 4/3*q**3 + n + 2/3*q**4 - 1/6*q**5 + 3*q**2. Factor a(l).
-2*(l - 2)*(5*l + 2)
Let g(z) be the first derivative of 0*z - 2 + 1/30*z**5 - 1/18*z**3 + 1/12*z**4 - 1/6*z**2. Determine t, given that g(t) = 0.
-2, -1, 0, 1
Let s(h) be the second derivative of h**4/120 - h**3/60 - 8*h. Determine k so that s(k) = 0.
0, 1
Let x(c) be the first derivative of c**5/80 - c**4/24 + c**3/24 - 2*c + 1. Let u(g) be the first derivative of x(g). Find s, given that u(s) = 0.
0, 1
Let w(l) be the third derivative of -5*l**2 + 0 + 7/300*l**5 + 1/24*l**4 + 0*l - 1/15*l**3. Factor w(i).
(i + 1)*(7*i - 2)/5
Factor -2/7*z**2 + 0*z + 0.
-2*z**2/7
Let y be 2/(2/5) - 3. Let j be y/(-10) - 84/(-20). What is n in n**2 - 5*n**2 - 9*n**5 - 13*n**4 - 16*n**3 + 0*n**5 - 8*n**j = 0?
-1, -2/3, 0
Let m(r) = -r**2 + 10*r + 1. Let l be m(10). Let i be (l/3)/(10/24). Suppose 0 - i*g**2 + 0*g**4 + 2/5*g**5 + 0*g - 6/5*g**3 = 0. What is g?
-1, 0, 2
Suppose -18 = -23*x + 74. Solve -4/7*l**2 + 2/7 + 2/7*l**5 + 2/7*l**x + 2/7*l - 4/7*l**3 = 0.
-1, 1
Let w(q) = 2*q**3 - q**2 + q. Let h be w(1). Let s(z) be the first derivative of 0*z - 4/3*z**3 + 4/5*z**5 + h + 1/2*z**4 - z**2. Let s(r) = 0. What is r?
-1, -1/2, 0, 1
Let f be ((-10)/25)/((-10)/50). Factor -8/7 - 2/7*s**f + 8/7*s.
-2*(s - 2)**2/7
Let o(w) be the third derivative of -w**5/20 + 7*w**4/24 - w**3/3 + 5*w**2. Factor o(m).
-(m - 2)*(3*m - 1)
Let n = 2881 - 1815029/630. Let d(o) be the third derivative of 0 - n*o**7 + 0*o**6 + 1/60*o**5 + 1/36*o**4 + 0*o - 2*o**2 + 0*o**3. Solve d(j) = 0 for j.
-1, 0, 2
Let c(g) = g**3 + 4*g**2 + 3*g + 1. Let o be c(-3). Let f be (-6)/(-8) + 11/(-22). Factor o - m + f*m**2.
(m - 2)**2/4
Let i(t) = 3*t**4 - 11*t**3 - 3*t**2 + 16*t + 5. Let v(r) = r**4 - 5*r**3 - r**2 + 8*r + 3. Let b(c) = -3*i(c) + 5*v(c). Factor b(z).
-4*z*(z - 2)*(z - 1)*(z + 1)
Let n(d) = -d**2 + 6*d - 5. Let p be n(4). Determine o, given that o**5 - 5*o**3 + p*o**5 + o**2 - o**4 + o**3 = 0.
-1, 0, 1/4, 1
Let w(g) be the second derivative of -1/30*g**5 + 2*g + 0*g**2 + 0 + 1/18*g**4 + 0*g**3. Find n such that w(n) = 0.
0, 1
Let l be (3/6 - 1)*-6. Factor 1/5*r**l + 0 + 1/5*r**5 + 2/5*r**4 + 0*r + 0*r**2.
r**3*(r + 1)**2/5
Let y be 5 - (-1432)/(-480) - (1 + 1). Let f(c) be the third derivative of 1/75*c**5 - y*c**4 + 2*c**2 + 0*c**3 - 1/300*c**6 + 0 + 0*c. Solve f(b) = 0.
0, 1
Suppose 3*q = -5*z + 2*q + 5, 2*z + 2*q = -6. Suppose v = 4*v. Factor v*g**2 - 5*g**2 + 3*g**z.
-2*g**2
Suppose 5*t - 35 = -3*y, -4*t + 41 = -y + 6*y. Let z(b) be the second derivative of 0 + 2*b - 1/50*b**5 - 1/15*b**3 - 1/15*b**t + 0*b**2. Factor z(c).
-2*c*(c + 1)**2/5
Let f = -299/3 + 100. Determine p, given that 0 - f*p**4 + 1/3*p + 1/3*p