or b(q).
q**2*(q + 1)**2*(3*q - 2)
Suppose 6*m = -5 + 29. Factor -4/5*u**3 - 2/5 + 0*u**2 + 2/5*u**m + 4/5*u.
2*(u - 1)**3*(u + 1)/5
Let y(u) be the second derivative of 1/40*u**5 + 3*u + 0 + 1/36*u**3 + 1/18*u**4 + 0*u**2. Factor y(p).
p*(p + 1)*(3*p + 1)/6
Let v(r) be the first derivative of -r**6/4 - 21*r**5/10 - 57*r**4/8 - 25*r**3/2 - 12*r**2 - 6*r - 16. Factor v(h).
-3*(h + 1)**3*(h + 2)**2/2
Let m = -33 + 37. Let p be (-6)/m*12/(-27). Factor -p + 2/3*d**3 + 2/3*d**2 - 2/3*d.
2*(d - 1)*(d + 1)**2/3
Let o be ((-6)/(-14))/(6 + (-18)/4). Let -2/7*h**3 - 2/7 + 2/7*h + o*h**2 = 0. Calculate h.
-1, 1
Let j be (1/2)/((-1)/(-6)). Suppose 0 - j = -f. Let g(y) = -y**4 + y**3 + y**2 + y. Let t(c) = -c**4 + 3*c**2 + 2*c. Let p(o) = f*t(o) - 6*g(o). Factor p(z).
3*z**2*(z - 1)**2
Let a = 11 + -32/3. Let j(f) be the second derivative of -a*f**3 + 2*f + 1/24*f**4 + 0 + f**2. Suppose j(z) = 0. What is z?
2
Let v be (6 - 75/12)*-1. Factor 0 + 1/4*c + v*c**4 + 3/4*c**3 + 3/4*c**2.
c*(c + 1)**3/4
Let t(a) be the second derivative of -1/36*a**4 + 0 - 1/3*a**2 + 4*a + 1/6*a**3. Factor t(u).
-(u - 2)*(u - 1)/3
Suppose -2/7*m**2 + 40/7*m - 200/7 = 0. Calculate m.
10
Let h be (-8)/(-3) + 4/(-2). Let p = -200/3 - -68. Let p*q**2 + 0 + 0*q + h*q**3 = 0. What is q?
-2, 0
Let n(x) be the first derivative of -2*x**2 - 1/2*x**4 + 2*x**3 - 2 + 0*x. Solve n(p) = 0.
0, 1, 2
Let a = 1196 + -1196. Let a*b**2 - 2/3*b**3 - 4/3 + 2*b = 0. Calculate b.
-2, 1
Let f(o) be the first derivative of -o**3/9 + 4*o**2 - 48*o + 22. Factor f(s).
-(s - 12)**2/3
Let y(g) be the second derivative of g**7/21 - g**6/5 + 3*g**5/10 - g**4/6 - 3*g. Find w, given that y(w) = 0.
0, 1
Suppose 4*d - 64 = -4*h - 0*d, 0 = 5*h + 2*d - 68. Let r be ((-2)/h)/((-13)/104). Determine f so that 0*f - 10/3*f**5 + r*f**3 + 0*f**2 + 0 + 2*f**4 = 0.
-2/5, 0, 1
Let t(d) be the third derivative of 2/3*d**3 - 1/20*d**5 + 0*d + 7/720*d**6 + 0 - 1/12*d**4 - 4*d**2. Let m(i) be the first derivative of t(i). Solve m(u) = 0.
-2/7, 2
Let o = 3/17 + 59/51. Factor -o*w + 0 + 2*w**3 + 2/3*w**2.
2*w*(w + 1)*(3*w - 2)/3
Let u(t) = -t**3 + 5*t**2 - 7*t + 5. Let m be u(3). Factor m*o + 4/3 + 2/3*o**2.
2*(o + 1)*(o + 2)/3
Determine y so that 0*y - 3/5*y**3 + 0*y**2 - 1/5*y**4 + 0 = 0.
-3, 0
Let q(x) = -x**3 - x**2 - x. Let f(c) = 8*c**3 + 12*c**2 + 12*c + 2. Let t(s) = -f(s) - 6*q(s). Factor t(p).
-2*(p + 1)**3
Let y(z) be the third derivative of z**6/360 - z**5/60 + 2*z**3/9 + z**2. Factor y(f).
(f - 2)**2*(f + 1)/3
Let s be (-2)/(-1) + (1 - 3). Let h(c) be the second derivative of 0*c**2 + 0 + s*c**5 - 1/135*c**6 + 2*c + 1/54*c**4 + 0*c**3. Factor h(j).
-2*j**2*(j - 1)*(j + 1)/9
Let w(h) be the first derivative of -4/15*h**5 + 2 - 2/9*h**3 + 0*h**2 - 5/12*h**4 - 1/18*h**6 + 0*h. Factor w(x).
-x**2*(x + 1)**2*(x + 2)/3
Suppose 3*g - 2 = 4. Let -3/7*s**g - 3/7 + 6/7*s = 0. What is s?
1
Let x(a) be the second derivative of -a**10/30240 + a**9/15120 - a**4/6 + 2*a. Let c(p) be the third derivative of x(p). Factor c(u).
-u**4*(u - 1)
Let n(b) be the first derivative of -b**6/21 + 4*b**5/35 - b**4/14 + 31. Factor n(k).
-2*k**3*(k - 1)**2/7
Solve -6/5*v**2 + 4/5*v + 2/5*v**3 + 0 = 0 for v.
0, 1, 2
Suppose 2*u + u - 9 = 0. Factor 4*s**3 + s**2 - 2*s - 6*s**3 + 4*s - u*s**2 + 2.
-2*(s - 1)*(s + 1)**2
Let b(y) be the first derivative of y**7/42 - y**6/30 - 3*y**5/20 + y**4/12 + y**3/3 + y + 4. Let x(h) be the first derivative of b(h). Factor x(r).
r*(r - 2)*(r - 1)*(r + 1)**2
Let r(m) be the third derivative of m**8/2352 + m**7/735 - m**6/420 - m**5/105 + m**4/168 + m**3/21 - 13*m**2. Suppose r(l) = 0. What is l?
-2, -1, 1
Let n(r) = 11*r**4 + 4*r**3 + r**2 - 4*r + 6. Let b(o) = -5*o - 3*o + 11 + 5*o**3 + o**2 + 21*o**4 + 2*o**3 + o. Let f(y) = -6*b(y) + 11*n(y). Factor f(v).
-v*(v - 1)*(v + 1)*(5*v - 2)
Let q(s) = 14*s**2 - 34*s. Let u(x) = -5*x**2 + 11*x. Let j(b) = -3*q(b) - 8*u(b). Find h, given that j(h) = 0.
0, 7
Let z(w) = w**3 + 10*w**2 - 12*w - 4. Let u be z(-11). Find x such that 6*x**3 + 3*x + 3*x + 6*x**2 + 3*x + 2*x**4 - u*x = 0.
-1, 0
Let n(p) be the second derivative of 5*p**9/6048 + p**8/280 + 3*p**7/560 + p**6/360 - p**3/3 - 4*p. Let b(r) be the second derivative of n(r). Factor b(a).
a**2*(a + 1)**2*(5*a + 2)/2
Let d = -1 + 1. Suppose 2*j = -0 + 4. Solve 2*s + d*s**2 - 1 + 0*s - s**j = 0.
1
Let r = 8 + -7. Let p(t) = 7*t**2 + 4*t - 6. Let k(u) = u**2 + u - 1. Let j(m) = r*p(m) - 6*k(m). Factor j(h).
h*(h - 2)
Let s be -14*(3 - (-10)/(-4)). Let o = s + 9. Suppose -2/3*c**5 + 8/3 - 16/3*c + 2/3*c**o - 2/3*c**4 + 10/3*c**3 = 0. Calculate c.
-2, 1
Let l be (2 - 2)*(-4)/(-8). Suppose l - 5 = -g. Determine t, given that 6*t**3 - 3*t**3 - 2*t**3 - t**g = 0.
-1, 0, 1
Let j(z) be the second derivative of -3*z**5/50 - 11*z**4/30 - 4*z**3/5 - 4*z**2/5 + 16*z. Suppose j(n) = 0. Calculate n.
-2, -1, -2/3
Let w(x) be the first derivative of 1/9*x**4 + 2/15*x**5 + 0*x**2 + 1/27*x**6 + 0*x**3 + 0*x - 4. Find z, given that w(z) = 0.
-2, -1, 0
Let i(q) be the third derivative of 1/20*q**6 + 0 - 2*q**2 + 1/12*q**4 + 1/3*q**3 - 1/6*q**5 + 0*q. Let i(x) = 0. Calculate x.
-1/3, 1
Let h be (14 - 24/3) + -4. Factor 2/3*y**h + 4/3*y - 2.
2*(y - 1)*(y + 3)/3
Suppose 0*l + 0*l**2 + 2/3*l**4 + 1/9*l**5 + 0 + l**3 = 0. What is l?
-3, 0
Suppose c + 50 + 20 = -5*r, r - c + 20 = 0. Let j be 14 + r - 3/(-1). Solve 0*p + 0 - 2/5*p**j = 0.
0
Let k(i) be the third derivative of 0*i**5 + 0*i**4 + 3*i**2 - 1/840*i**7 + 0*i + 0 + 0*i**3 - 1/480*i**6. Factor k(x).
-x**3*(x + 1)/4
Let m(i) be the second derivative of i**5/50 + i**4/15 - i**3/15 - 2*i**2/5 - 5*i. Suppose m(d) = 0. What is d?
-2, -1, 1
Suppose -5*f - 4*v = -9, 3*f + v + v - 5 = 0. Let q(x) be the first derivative of 5/12*x**6 + f - x - 1/4*x**2 - 1/2*x**4 + 5/3*x**3 - 4/5*x**5. Factor q(l).
(l - 1)**3*(l + 1)*(5*l + 2)/2
Factor -111*g - 24*g**2 - 26 + 159*g - 6 + 4*g**3.
4*(g - 2)**3
Let g be -5 - ((-384)/42 - -4). What is p in g*p + 0 + 1/7*p**3 + 2/7*p**2 = 0?
-1, 0
Let a(u) = -30*u**2 + 81*u - 9. Let o(p) = 3*p + 1. Let v be o(-1). Let s(i) = -3*i**2 + 8*i - 1. Let l(j) = v*a(j) + 21*s(j). Suppose l(f) = 0. Calculate f.
1
Let l(k) be the third derivative of -k**5/80 + 3*k**4/16 - 5*k**3/8 + 7*k**2. Let l(n) = 0. What is n?
1, 5
Suppose 12/5*c + 0 + 2/5*c**3 - 14/5*c**2 = 0. What is c?
0, 1, 6
Let w(k) be the first derivative of -k**6/1080 + k**5/120 - k**4/36 - k**3/3 + 7. Let p(j) be the third derivative of w(j). Find v, given that p(v) = 0.
1, 2
Suppose w = 4*q + 16, 5*w + 23 = -5*q + 3. Factor 0*u + 1/5*u**2 - 1/5*u**4 - 1/5*u**3 + 1/5*u**5 + w.
u**2*(u - 1)**2*(u + 1)/5
Let u = -14 + 15. Let z be (1/(u/(-2)))/(-1). Factor 0 + 4/7*j**4 + 2/7*j**3 + 2/7*j**5 + 0*j**z + 0*j.
2*j**3*(j + 1)**2/7
Let o = 10 + -8. Let q(u) be the second derivative of -2*u**4 - 2/7*u**o + 0 + 64/105*u**6 + 2*u - 8/7*u**5 - 23/21*u**3. Suppose q(l) = 0. What is l?
-1/4, 2
Let w(c) be the first derivative of -c**8/112 + c**7/35 - c**6/40 + c**2/2 - 2. Let s(a) be the second derivative of w(a). Factor s(o).
-3*o**3*(o - 1)**2
Factor 2*t - 4*t + 0*t + 3*t**2.
t*(3*t - 2)
Let t(k) = k**3 + 5*k**2 - 2*k. Let y be t(-5). Let p = y - 10. Factor p*o**2 + 0 - 4/7*o**3 + 2/7*o**5 + 2/7*o + 0*o**4.
2*o*(o - 1)**2*(o + 1)**2/7
Let f = -1655 + 1658. Factor 3/4*p**f + 0 + 0*p**2 - p + 1/4*p**4.
p*(p - 1)*(p + 2)**2/4
Let r be 4/(-8) + 3/(-2). Let z be -4*(5/r + 2). Factor -3 + z*s - s**2 + 2 + 0.
-(s - 1)**2
Let o(d) = d**2 - 17*d + 32. Let a be o(15). Let w(p) be the third derivative of 0*p + 0*p**4 + 0 - 3*p**a + 1/24*p**3 - 1/240*p**5. What is n in w(n) = 0?
-1, 1
Let b(i) be the second derivative of -i**9/10584 + i**8/2940 - i**7/2940 - 5*i**3/6 + i. Let k(a) be the second derivative of b(a). Factor k(v).
-2*v**3*(v - 1)**2/7
Let n(d) = -2*d**2 + 10*d. Let h be n(5). Let v(k) be the second derivative of h*k**3 + 1/100*k**5 + 0*k**2 + 0*k**4 + 3*k + 0. Factor v(b).
b**3/5
Let l(z) be the first derivative of -z**6/420 + z**5/105 - z**4/84 + 3*z**2/2 + 5. Let p(q) be the second derivative of l(q). Factor p(w).
-2*w*(w - 1)**2/7
Let b(l) = -8*l**3 - 5*l**2 + 5*l + 2. Let g(o) = -15*o**3 - 10*o**2 + 10*o + 5. Let t(u) = -5*b(u) + 3*g(u). Suppose t(r) = 0. Calculate r.
-1, 1
Let c be ((-8)/(-28))/((-3)/(-21)). Factor 1/3