(w) - s(w). Factor i(m).
3*m*(m + 1)**2
Suppose -4*h + 5*i + 13 = 0, 3*i + 24 = -3*h - 0. Let r be 75/9 + 3/h. Find c, given that -4/3 - 14/3*c**3 - r*c - 32/3*c**2 = 0.
-1, -2/7
Suppose -1 = -0*b - b. Let j(a) = a**3 + a**2 + a + 1. Let d(w) = -10*w**3 - 2*w**2 - 3*w - 5. Let z(c) = b*d(c) + 5*j(c). Solve z(v) = 0.
-2/5, 0, 1
Let i(r) be the third derivative of 0 - 1/120*r**5 - 9*r**2 + 0*r - 1/3*r**3 - 1/12*r**4. Let i(n) = 0. Calculate n.
-2
Let g(f) be the first derivative of -2*f**6/3 + 16*f**5/5 - f**4 - 40*f**3/3 + 8*f**2 + 32*f + 62. Solve g(p) = 0 for p.
-1, 2
Let x(q) = 3*q**3 - 21*q**2 + 21*q - 3. Let p(w) = w**2 - w. Let v(c) = -12*p(c) - x(c). Factor v(g).
-3*(g - 1)**3
Suppose -6/5*t**3 - 2/5*t**4 + 0 - 4/5*t**2 + 0*t = 0. What is t?
-2, -1, 0
Let b(p) be the third derivative of -1/40*p**6 + 0 + 0*p - 1/30*p**5 + p**2 + 1/8*p**4 + 1/3*p**3. Suppose b(n) = 0. Calculate n.
-1, -2/3, 1
Let u(b) be the second derivative of b**6/20 - b**5/20 - 3*b**4/8 + b**2 - 18*b. Factor u(s).
(s - 2)*(s + 1)**2*(3*s - 2)/2
Suppose -5*h - 5 = 4*u - 0*u, 2*h = -u + 1. Let z = u + 7. Factor -2/7 + 6/7*c**z - 4/7*c.
2*(c - 1)*(3*c + 1)/7
Let n(s) = s. Let p(j) = j**2 + 4*j - 3. Let m(x) = -6*n(x) + 3*p(x). Factor m(a).
3*(a - 1)*(a + 3)
Let i(r) = -17*r + 221. Let g be i(13). Solve 0*z + 2/13*z**4 - 2/13*z**2 + 0 + g*z**3 = 0 for z.
-1, 0, 1
Let o be 21/(-6)*4/(-7). Let i(n) = n - 4. Let s be i(4). Factor 6*b + s*b**2 - 4 - 2*b**2 + 0*b**o.
-2*(b - 2)*(b - 1)
Let k(l) be the first derivative of -l**6/15 + l**5/20 - 3*l - 2. Let i(r) be the first derivative of k(r). Solve i(c) = 0 for c.
0, 1/2
Let c(v) be the first derivative of v**5/25 - v**3/3 + 4*v/5 - 8. Suppose c(k) = 0. Calculate k.
-2, -1, 1, 2
Suppose -148 = -g - 20. Suppose 10*s**2 + 86*s**2 + 12*s**4 + g*s + 64 + 32*s**3 - 8*s**4 = 0. Calculate s.
-2
Let s(t) be the third derivative of 1/120*t**5 + 2*t**2 + 0*t + 0 + 1/24*t**4 + 1/12*t**3. Solve s(k) = 0.
-1
Let m be -4 - 81/(-21) - (-10)/21. Let c(n) be the first derivative of 2 + 0*n + 1/3*n**3 - m*n**2 + 5/12*n**4. Factor c(r).
r*(r + 1)*(5*r - 2)/3
Factor 0*o - 6 + 2/3*o**2.
2*(o - 3)*(o + 3)/3
Let c(u) be the first derivative of -1/9*u**3 + u**2 - 2 - 3*u. Suppose c(y) = 0. Calculate y.
3
Let c be 6/(-27) + 40/18. Suppose -4 = -l - c*n + 3, -3*l = -4*n - 11. Factor -3*j**4 + 7*j**3 - 15 + 15 + j - l*j**2.
-j*(j - 1)**2*(3*j - 1)
Let i be (6/(-24))/((-10)/(-4) + -3). Let o(x) be the first derivative of -i*x**2 - 1/6*x**3 + 1/8*x**4 - 1 + 0*x. Find m such that o(m) = 0.
-1, 0, 2
Let d = 44/25 + -258/175. Factor -2/7*c - d*c**2 + 4/7.
-2*(c - 1)*(c + 2)/7
Let r be ((-2)/6 - 242/165) + 2. Let s(g) be the first derivative of -r*g**3 - 3 + 0*g - 3/10*g**2. Let s(a) = 0. Calculate a.
-1, 0
Let g be (8/8)/((-1)/(-2)). Let d(n) be the third derivative of 1/315*n**7 - 1/180*n**6 - 1/90*n**5 + 0*n - 2*n**g + 0*n**3 + 1/36*n**4 + 0. Factor d(h).
2*h*(h - 1)**2*(h + 1)/3
Let w = 10 - 6. Suppose 4*f - 32 = -2*l, 1 = -w*l + f + 4*f. Determine m, given that -3*m**2 + 3 - 4 - l*m + 1 = 0.
-2, 0
Let l(t) = -12*t**2 + 23*t + 12. Let n(k) = -42*k**2 + 81*k + 42. Let z(h) = -18*l(h) + 5*n(h). Solve z(m) = 0 for m.
-1/2, 2
Let s(t) be the third derivative of -t**6/420 - t**5/70 + 4*t**3/21 - 10*t**2. Factor s(c).
-2*(c - 1)*(c + 2)**2/7
Let w(b) be the first derivative of -b**4/4 - 5*b**3/3 + 3*b**2 + 2*b + 1. Let k be w(-6). Factor -2*n + 3*n + 0*n**k + n**2.
n*(n + 1)
Let x(l) = -l**2 + l + 1. Suppose 5*m = -4*t + 22, 2*t - 5*t + 19 = 5*m. Let u(d) = 4*d - t*d**2 + 2 + 0*d - 2*d. Let w(n) = u(n) - 2*x(n). Solve w(r) = 0.
0
Factor -6/7*p**2 + 0 + 4/7*p + 2/7*p**3.
2*p*(p - 2)*(p - 1)/7
Let x(g) = -15*g**3 + 3*g**2 - 3*g + 15. Let n(j) = 8*j**3 - 2*j**2 + 2*j - 8. Let d(t) = 9*n(t) + 5*x(t). Factor d(l).
-3*(l - 1)*(l + 1)**2
Let u(i) be the second derivative of -i**7/112 - i**6/16 - 21*i**5/160 - 3*i**4/32 - 4*i. Factor u(c).
-3*c**2*(c + 1)**2*(c + 3)/8
Let t = 378/13 - 2542/91. Let -2/7*g**2 + 8/7*g - t = 0. Calculate g.
2
Let t = 15 + -13. Let l(b) be the second derivative of -1/24*b**4 + 0 + 1/4*b**t + 0*b**3 - 2*b. Factor l(n).
-(n - 1)*(n + 1)/2
Suppose 3*i + 4*h = -0*h + 13, 2*i - h - 5 = 0. Let m be 0/(i/(1 + 2)). Find q, given that -1/4*q**2 + m + 1/4*q = 0.
0, 1
Suppose 48 = 2*n + n. Determine h so that n - 30 - h**5 + 14 + h**3 = 0.
-1, 0, 1
Find u such that -4/13 + 6/13*u + 2/13*u**4 - 6/13*u**3 + 2/13*u**2 = 0.
-1, 1, 2
Suppose -3*m = -s - 31, 5*s - 2 = -2*m + 30. Factor -8*h**2 - 25*h**2 - m*h**3 - 69*h**3 - 33*h**2 - 2 - 20*h - 32*h**4.
-2*(h + 1)**2*(4*h + 1)**2
Let d(j) be the second derivative of -j**7/189 - j**6/45 - j**5/90 + j**4/18 + 2*j**3/27 + 6*j - 2. Find h, given that d(h) = 0.
-2, -1, 0, 1
Let j(p) = 3*p + 70. Let h be j(-22). Factor 2*t**4 + 2/5 + 2/5*t**5 + 4*t**2 + h*t**3 + 2*t.
2*(t + 1)**5/5
Let s(d) be the third derivative of -d**6/200 + d**5/50 - d**4/40 - 3*d**2. Let s(w) = 0. Calculate w.
0, 1
Suppose 4*x + 4 = -3*u, x - u = 3*x. Let o(r) be the second derivative of -1/48*r**4 - 1/2*r**2 + x*r + 0 - 1/6*r**3. Factor o(y).
-(y + 2)**2/4
Let u(p) be the second derivative of -p**7/280 - p**6/360 + p**5/40 + p**4/24 + p**3/6 - p. Let g(c) be the second derivative of u(c). Factor g(b).
-(b - 1)*(b + 1)*(3*b + 1)
Let r(y) be the third derivative of -y**8/112 + y**6/20 - y**4/8 - 2*y**2. Suppose r(p) = 0. What is p?
-1, 0, 1
Let u = -15 + 25. Suppose u = 5*x - 10. Suppose 0*y + 1/2*y**2 - 5/4*y**x + 0 - 3/4*y**3 = 0. Calculate y.
-1, 0, 2/5
Let b = 190/567 + -4/81. Let -2/7*t + b*t**3 + 2/7 - 2/7*t**2 = 0. Calculate t.
-1, 1
Let p(s) = 4*s. Let o be p(-1). Let l(d) = 2*d**2 + 9*d + 18. Let g(n) = -n**2 - 3*n - 6. Let f(z) = o*l(z) - 11*g(z). Factor f(c).
3*(c - 2)*(c + 1)
Let x(u) be the first derivative of u**6/39 + 2*u**5/65 - 7*u**4/26 - 2*u**3/39 + 6*u**2/13 - 43. Determine b, given that x(b) = 0.
-3, -1, 0, 1, 2
Suppose 0 = -i - 3*i + 16. What is n in 2 + 8 - 2 + 42*n**2 + 40*n**3 - 40*n - 50*n**i = 0?
-1, 2/5, 1
Let w(x) be the third derivative of -x**7/1365 + x**6/390 + 11*x**5/390 - x**4/13 - 12*x**3/13 - 26*x**2. Factor w(l).
-2*(l - 3)**2*(l + 2)**2/13
Factor 1/4*r**2 - r + 1.
(r - 2)**2/4
Let j(k) be the first derivative of k**4/16 - 3*k**2/8 + k/2 - 14. What is d in j(d) = 0?
-2, 1
Let s be -3 + 19 + (-9)/(-3). Suppose 0 = -3*i - 5 - 1, 5*p = 2*i + s. Suppose -2/9*b**5 - 4/9*b**4 + 0 + 0*b**p + 2/9*b + 4/9*b**2 = 0. Calculate b.
-1, 0, 1
Let r = 10 - 95. Let j = r - -257/3. Determine u so that -j*u**2 - 4/3*u - 2/3 = 0.
-1
Let c(v) = -v**3 - 3*v**2 + v - 3. Let j be c(-3). Let y be 4 - (-1 - j) - -3. What is m in 0*m**3 + 0 + 0*m + 10/7*m**5 - 4/7*m**4 + 0*m**y = 0?
0, 2/5
Let t(v) be the third derivative of 0*v**4 + 0*v**3 + 1/140*v**5 - 1/280*v**6 + 0*v + 0 + 5*v**2. Solve t(r) = 0 for r.
0, 1
What is r in -4/9 + 52/9*r - 169/9*r**2 = 0?
2/13
Let n(k) be the second derivative of 1/30*k**4 + 3*k + 0 + 0*k**2 + 1/15*k**3 - 1/50*k**5 - 1/75*k**6. Solve n(y) = 0 for y.
-1, 0, 1
Let d be (0 + -2)/(12/(-18)). Let o(c) be the third derivative of 0*c - 1/4*c**4 + 0 - 1/3*c**d - c**2 - 1/15*c**5. Let o(y) = 0. What is y?
-1, -1/2
Suppose -3*o = -j - 0*o - 21, 2*o = j + 16. Let f be 18/j*(-4)/6. Factor -20/3*u + 25/3*u**4 - 7*u**f + 20/3*u**3 - 4/3.
(u - 1)*(u + 1)*(5*u + 2)**2/3
Let j(q) be the third derivative of -q**5/3 + 5*q**4/24 - 21*q**2. Factor j(x).
-5*x*(4*x - 1)
Factor 26/11*h**2 + 2/11*h**4 + 8/11 + 24/11*h + 12/11*h**3.
2*(h + 1)**2*(h + 2)**2/11
Let s(p) be the second derivative of p**7/42 + p**6/30 - p**5/20 - p**4/12 + 24*p. Factor s(t).
t**2*(t - 1)*(t + 1)**2
Let m be (-10)/12 + (-16)/(-16). Let g(u) be the second derivative of -m*u**4 - 7/20*u**5 + 7/6*u**3 + 0 - 2*u + u**2. Factor g(w).
-(w - 1)*(w + 1)*(7*w + 2)
Let g(u) = -3*u**5 - u**4 + 5*u**3 + 5*u**2 + 5*u + 5. Let p(t) = -t**5 - t**4 + 2*t**3 + 2*t**2 + 2*t + 2. Let x(h) = -6*g(h) + 15*p(h). Factor x(f).
3*f**4*(f - 3)
Let z be ((-5)/25)/(-2*3/10). Let v be (-3)/(-5) + (-44)/(-60). Let 8/3*f - 5/3*f**2 - v + z*f**3 = 0. Calculate f.
1, 2
Let s(a) be the third derivative of 1/105*a**7 + 0*a**3 + 3*a**2 + 1/12*a**6 + 0*a + 0 + 1/3*a**4 + 4/15*a**5. Factor s(t).
2*t*(t + 1)*(t + 2)**2
Let w(o) be the first derivative of -8*o**5/85 - 7*o**4/34 - 