 + 5*x(r). Factor z(f).
-f**3*(3*f - 1)
Let a(b) be the first derivative of -3*b**5/40 + 3*b**4/16 - 3*b**2/8 + 3*b/8 + 16. Factor a(u).
-3*(u - 1)**3*(u + 1)/8
Factor 8 - s**3 + 2 - s**2 + 2*s - 10.
-s*(s - 1)*(s + 2)
Let v = -77188/15 - -5144. Let y = 46/15 + v. Suppose y*s**4 - 8/5*s**2 - 4/5*s + 4/5*s**3 + 2/5 = 0. What is s?
-1, 1/3, 1
Let d(q) = 3*q**2 + 2*q. Let j = -5 - -2. Let c(z) = -z**2. Let u(b) = j*d(b) - 6*c(b). Suppose u(t) = 0. Calculate t.
-2, 0
Let n(i) = -3*i**2 - 3*i + 2. Let u(g) = -7*g**2 - 6*g + 5. Let d(k) = -5*n(k) + 2*u(k). Let d(p) = 0. What is p?
-3, 0
Let r(w) be the third derivative of -w**7/735 + w**6/140 - w**5/70 + w**4/84 + 8*w**2. Factor r(x).
-2*x*(x - 1)**3/7
Factor -2/9*w**4 + 2/9*w**5 + 2/9*w**2 + 0 + 0*w - 2/9*w**3.
2*w**2*(w - 1)**2*(w + 1)/9
Let u(n) = -n**2 - 8*n + 8. Let j(l) = 2*l**2 + 24*l - 24. Let q(t) = 3*j(t) + 8*u(t). What is k in q(k) = 0?
2
Let b(o) = -5*o**2 + o + 4. Let w(i) = -i**2 + 1. Let k(d) = b(d) - 6*w(d). Factor k(y).
(y - 1)*(y + 2)
Let u(g) = g**4 - 5*g**3 + 3*g**2 - 3*g. Let b(i) = -2*i**4 + 9*i**3 - 5*i**2 + 5*i. Suppose -2*a = 2*a + 16. Let f(w) = a*b(w) - 7*u(w). Factor f(q).
q*(q - 1)**2*(q + 1)
Let y(g) be the third derivative of g**6/240 + g**5/12 + 33*g**2 + 1. Suppose y(d) = 0. Calculate d.
-10, 0
Let f(o) = 12*o + 14. Let q be f(-10). Let r be q/(-6) - 2/6. Let -r*s**2 - 40/3*s + 16/3 - 14/3*s**3 = 0. Calculate s.
-2, 2/7
Let o(b) be the second derivative of -b**6/180 - b**5/120 - 2*b. Solve o(d) = 0.
-1, 0
Let r be 131/(-332) - (-2)/8. Let g = r - -1364/249. Solve 1296*w**4 + 1206*w**3 + 248/3*w + g + 486*w**5 + 1420/3*w**2 = 0 for w.
-1, -2/9
Let n = 44 - 36. Suppose 4*y = -5*x - 1, -4*y - n - 20 = -4*x. Factor -3/5*b**2 + 1/5*b**4 + 1/5*b**x + 2/5 - 1/5*b.
(b - 1)**2*(b + 1)*(b + 2)/5
Let v(a) be the second derivative of 1/54*a**4 - 1/27*a**3 + 0*a**2 + 0 - 6*a. Find p such that v(p) = 0.
0, 1
Let x(b) be the third derivative of 1/8*b**4 + 0*b - 2*b**2 - 1/40*b**6 + 0*b**3 + 0 + 1/20*b**5 - 1/70*b**7. Determine m so that x(m) = 0.
-1, 0, 1
Let y(u) = 2*u - 1. Let o be y(3). Let h(k) be the third derivative of -1/36*k**4 + 0*k**3 + 1/30*k**o - k**2 + 0 - 1/60*k**6 + 1/315*k**7 + 0*k. Factor h(l).
2*l*(l - 1)**3/3
Let v(l) be the first derivative of l**4/4 - l**3/6 - 5*l**2/4 - l - 8. Factor v(q).
(q - 2)*(q + 1)*(2*q + 1)/2
Let j(t) be the second derivative of t**7/8820 + t**6/1260 - t**5/140 - t**4/12 - t. Let s(b) be the third derivative of j(b). Find f such that s(f) = 0.
-3, 1
Let u(k) = -k**2 + k - 2. Let z(d) = 3. Let t(g) = 3*u(g) + 2*z(g). Factor t(i).
-3*i*(i - 1)
Let x(y) be the second derivative of -y**10/60480 - y**9/30240 + y**8/13440 + y**7/5040 - y**4/12 + 2*y. Let o(j) be the third derivative of x(j). Factor o(t).
-t**2*(t - 1)*(t + 1)**2/2
Let n(y) be the third derivative of 1/20*y**5 - 1/40*y**6 + 3*y**2 + 0*y**3 + 0 + 0*y + 0*y**4. Suppose n(g) = 0. What is g?
0, 1
Suppose 6*y - 7 = 5*y. Suppose 3*l - 26 = y*v - 3*v, 3*v = -2*l - 11. Suppose -2/5*w - 1/5*w**l + 0 = 0. Calculate w.
-2, 0
Let a(f) = 3*f**5 - 4*f**4 + 2*f**3 - 4*f**2 + 3*f + 4. Let i(x) = -7*x**5 + 9*x**4 - 4*x**3 + 9*x**2 - 7*x - 9. Let t(j) = -9*a(j) - 4*i(j). Factor t(v).
v*(v - 1)**2*(v + 1)**2
Factor -1/3*z**3 + 0 + 0*z**2 + 1/3*z.
-z*(z - 1)*(z + 1)/3
Let u(i) = -2*i - 22. Let l be u(-11). Factor l + 0*r**2 - 1/6*r + 1/6*r**3.
r*(r - 1)*(r + 1)/6
Let b = 0 - -4. Suppose k - 4*y - 1 = 0, 2*k - b*y - 8 = y. Factor 0*h**2 + 5*h**2 + 4*h**2 - 6*h**2 + 3*h**5 + 9*h**4 + k*h**3.
3*h**2*(h + 1)**3
Let r = 14/15 + -3/5. Solve 2/3 - 1/3*a**2 + r*a = 0.
-1, 2
Let x(y) = -y - 3. Let b be x(-8). Let g be 1 + (3 - 2/b). Determine j so that -24/5*j - 8/5 - g*j**2 = 0.
-2/3
Let v(x) = -x**2 + 10*x - 7. Let z be v(7). Suppose 2*j - 4*t = -6, -26 = -5*j - t + 3. Factor 5*d**2 + 4*d - 5*d**5 - z*d**4 + d**2 - 6*d**3 - d**j.
-2*d*(d + 1)**3*(3*d - 2)
Determine v, given that -16/7*v + 10/7*v**2 + 8/7 - 2/7*v**3 = 0.
1, 2
Let c be (-3 - 8/(-20)) + 3. Let g(z) be the second derivative of 0*z**2 - z - 1/2*z**4 + 1/3*z**3 - c*z**5 + 0. Factor g(o).
-2*o*(o + 1)*(4*o - 1)
Suppose -2*o + 22 = -4*a, -o + 4*a + 25 = 4*o. Let j be o + (-1 - (-2)/4). Factor -1/2*y**2 + j*y + 0.
-y*(y - 1)/2
Let f(w) be the first derivative of 0*w - 2*w**2 - 10/3*w**3 + 2. Factor f(r).
-2*r*(5*r + 2)
Let i(x) be the second derivative of 3*x - 2*x**2 + 0 - 3/10*x**5 - 7/3*x**3 - 4/3*x**4. Determine w so that i(w) = 0.
-1, -2/3
Let q = 144 + -139. Let y(x) be the second derivative of 4/5*x**2 + 3*x + 1/50*x**q + 8/15*x**3 + 0 + 1/6*x**4. Find p, given that y(p) = 0.
-2, -1
Let u(m) be the third derivative of 0 - 1/90*m**5 + 0*m + 2*m**2 + 0*m**3 - 1/360*m**6 - 1/72*m**4. Solve u(g) = 0 for g.
-1, 0
Factor 2/5*z**5 - 2/5 - 2/5*z**4 + 4/5*z**2 + 2/5*z - 4/5*z**3.
2*(z - 1)**3*(z + 1)**2/5
Let j be 6/24 - 178/720. Let c(x) be the third derivative of -1/9*x**3 - 2*x**2 + 0 - 1/45*x**5 - j*x**6 + 0*x - 5/72*x**4. Suppose c(z) = 0. Calculate z.
-2, -1
Let b(g) be the first derivative of 0*g**5 + 0*g**3 - 1/8*g**2 + 1/8*g**4 + 0*g - 1/24*g**6 - 3. Let b(y) = 0. What is y?
-1, 0, 1
Let b(q) = -q**3 - q**2 - 9. Let y be b(0). Let w = -6 - y. Factor -f**3 + f**2 - f**4 + 0*f - f + 2*f**w.
-f*(f - 1)**2*(f + 1)
Let i(v) be the first derivative of -1/4*v**3 - 3 + 0*v + 3/8*v**2. Factor i(m).
-3*m*(m - 1)/4
Suppose -6 = -3*g + 12. Suppose -2*j - 3*i + 25 = g, -1 = -3*j + i. Solve -j + 4*p**3 + 2*p**4 - 2*p - 6*p + 4*p = 0.
-1, 1
Let m(t) = -t**3 - 2*t**2 - 4*t - 3. Let v be m(-2). Suppose v*s - 12 = s. Find a such that -3*a**5 + s*a**5 + a**4 - a**5 = 0.
0, 1
Let w(g) be the first derivative of -g**3/5 + 3*g**2/10 + 6*g/5 - 9. Solve w(f) = 0.
-1, 2
Let k(w) = w**2 + w. Let q(g) = -3*g**2 - 5. Let d(s) = -4*k(s) - q(s). Let b be d(-4). Factor -3*t**4 - 3*t**2 + b*t**2 + 6*t**2 - 2*t**2 - 3.
-3*(t - 1)**2*(t + 1)**2
Factor 0 + 6/11*j**2 + 2/11*j.
2*j*(3*j + 1)/11
Determine c so that -2/11*c**3 - 24/11*c + 2*c**2 + 8/11 + 2/11*c**5 - 6/11*c**4 = 0.
-2, 1, 2
Let m(n) be the first derivative of 2*n**3/27 - 2*n**2/9 - 2*n/3 + 10. Factor m(z).
2*(z - 3)*(z + 1)/9
Let g(w) be the third derivative of -w**6/80 - w**5/20 + 7*w**4/16 - w**3 - 7*w**2. Factor g(l).
-3*(l - 1)**2*(l + 4)/2
Let c(r) = r**2 - 5*r + 6. Let x be c(4). Let z(a) be the first derivative of -a**x - 2*a**4 + 2*a**3 - 1 + 0*a**2 + a**4. Factor z(y).
-2*y*(y - 1)*(2*y - 1)
Let h(c) = c**3 - 6*c**2 + 6*c - 3. Let m be h(5). Let a(u) be the first derivative of 1/2*u**4 - 2/3*u**3 - u**2 + 1 + m*u. Factor a(q).
2*(q - 1)**2*(q + 1)
Suppose 0 = -3*c + 3, v - 2*c + 3 = -0*c. Let b = v - -3. Factor -7*h**b - 4*h**2 - 2*h + 3*h**2 - 2*h**2 + 2 - 6*h**3.
-2*(h + 1)**2*(3*h - 1)
Suppose 2*p - 8 = 5*q - 31, -3*p = 12. Let m(r) = -r + 3. Let u be m(q). What is l in 0 + 0*l - 2/5*l**4 + u*l**3 + 2/5*l**2 = 0?
-1, 0, 1
Let v be (-2)/4*284/6. Let c = 24 + v. Determine q so that 2/3*q**2 + 0 + c*q = 0.
-1/2, 0
Let m(k) be the second derivative of k**8/840 - k**7/420 - k**6/60 + k**5/12 - k**4/6 - 2*k**3/3 + 8*k. Let f(p) be the second derivative of m(p). Factor f(o).
2*(o - 1)**3*(o + 2)
Let w(f) be the second derivative of -3*f**6/20 - 5*f**5/8 - 7*f**4/8 - f**3/4 + f**2/2 + 5*f. Let w(t) = 0. What is t?
-1, 2/9
Let c(h) be the third derivative of -h**7/210 - h**6/40 + h**4/6 + 17*h**2. Let c(k) = 0. Calculate k.
-2, 0, 1
Let g(p) be the third derivative of -p**11/166320 - p**10/75600 + p**5/20 - 3*p**2. Let y(u) be the third derivative of g(u). Factor y(v).
-2*v**4*(v + 1)
Let t(h) be the second derivative of -h**8/3360 + h**6/720 + h**3/6 + 2*h. Let q(o) be the second derivative of t(o). Suppose q(u) = 0. What is u?
-1, 0, 1
Let a(v) = -v. Let x(k) = k**2 - 6*k + 1. Suppose 0 = -u + 3*j, 3*u = 4*u + 3*j + 12. Let z be (-20)/6 - (-4)/u. Let r(t) = z*a(t) + x(t). Factor r(s).
(s - 1)**2
Let u(i) = -i**3 + 3*i**2 + i - 1. Let s be u(3). Let q be 64/10 + (-4)/10. Factor q*t**2 - 3*t**s - 4 - 2*t**2 + 2*t + t**2.
2*(t - 1)*(t + 2)
Let j(c) be the first derivative of 0*c**3 + 0*c - 1/3*c**6 + 6/5*c**5 + 3 - c**4 + 0*c**2. Let j(h) = 0. What is h?
0, 1, 2
Let s(g) be the third derivative of -g**5/72 - 35*g**4/72 - 245*g**3/36 + 26*g**2. Let s(y) = 0. Calculate y.
-7
Let v = -285/7 + 293/7. Factor