Solve x(w) = 0 for w.
-4, -2/5, 0
Suppose 5*g - i + 112 = 0, -g - 8 = 3*i + 24. Let w be (-1)/(-3) - g/69. Factor 0 - w*y**2 - 2/3*y - 1/6*y**3.
-y*(y + 2)**2/6
Suppose -8 = 4*i + 4*c, 10 = 4*i - c - 2. Suppose -2*g = l - 11, g - i*l - 3 = -0. Find o, given that 0*o - 5/4*o**3 + o**4 + 0 + 1/2*o**2 - 1/4*o**g = 0.
0, 1, 2
Let p(m) = -10*m**4 + 24*m**3 + 24*m**2 - 62*m - 6. Let j(l) = -2*l**4 + l**3 - l**2 - 2*l - 1. Let y(x) = 6*j(x) - p(x). Factor y(w).
-2*w*(w - 1)*(w + 5)**2
Let q(v) = -2*v**3 - 7*v**2 - 27*v - 42. Let p be q(-2). Solve 2/3*a**3 - 8/3 + p*a + 2*a**2 = 0 for a.
-2, 1
Let x(g) = -g**2 - g - 1. Let f(z) = -4*z**2 + 12*z - 29. Let j(d) = -2*f(d) + 6*x(d). Factor j(v).
2*(v - 13)*(v - 2)
Let v(h) be the third derivative of -h**5/15 - 23*h**4/2 - 136*h**3/3 - 191*h**2. Factor v(p).
-4*(p + 1)*(p + 68)
Let r(c) be the third derivative of c**7/105 + 2*c**6/15 + 7*c**5/10 + 11*c**4/6 + 8*c**3/3 + 3*c**2 + 8*c. Solve r(y) = 0 for y.
-4, -2, -1
Let y(q) be the third derivative of -q**10/4032 + q**9/864 - 5*q**8/2688 + q**7/1008 + q**4/6 + 9*q**2. Let x(g) be the second derivative of y(g). Factor x(l).
-5*l**2*(l - 1)**2*(3*l - 1)/2
Let j(m) = 209 + 4*m**3 - 206 - 5*m**3 - 2*m**4 + 4*m**3. Let q(s) = 14*s**4 - 22*s**3 - 22. Let y(f) = 44*j(f) + 6*q(f). Find w, given that y(w) = 0.
0
Let r(n) = 10*n**2 + 6*n - 10. Let c(f) = 11*f**2 + 7*f - 11. Let x(o) = 6*c(o) - 7*r(o). Suppose x(i) = 0. What is i?
-1, 1
Let a be 1*-6 - (16/80 - 98/15). Find k, given that k**2 - a*k - 2/3*k**3 + 0 = 0.
0, 1/2, 1
Let y be 9/((-216)/(-128)) - (-2)/(-6). Factor 4*h**2 - 8*h + y - 5.
4*h*(h - 2)
Let d(b) be the third derivative of b**9/4032 - 13*b**8/4032 + b**7/63 - b**6/36 - b**5/10 + 20*b**2. Let i(y) be the third derivative of d(y). Factor i(z).
5*(z - 2)**2*(3*z - 1)
Let o be (-8)/(-52) + (-1059)/39. Let u = o + 32. Find s such that 5*s**2 - 3*s**4 + 0*s**4 + 3*s**4 - 5*s**3 - u*s**4 + 5*s**5 = 0.
-1, 0, 1
Let k(a) = -a**2 + 15*a - 14. Let y be k(14). Let m(h) be the second derivative of 4*h**2 - 14/3*h**3 + 2*h + 7/5*h**5 + y - 2/3*h**4. Solve m(l) = 0 for l.
-1, 2/7, 1
Let p(x) be the first derivative of 4*x**5/5 - 5*x**4 - 4*x**3/3 + 10*x**2 - 56. Factor p(k).
4*k*(k - 5)*(k - 1)*(k + 1)
Let -71*p**2 - p**4 - p**3 - 2*p**3 + 68*p**2 - p + 0*p = 0. Calculate p.
-1, 0
Let j(s) be the third derivative of s**5/180 - 7*s**4/36 + 13*s**3/18 - 24*s**2 + 2. What is l in j(l) = 0?
1, 13
Suppose 28*n - 52*n + 182 = 67*n. Determine q, given that 1/4*q**n - 2 - 7/4*q = 0.
-1, 8
Let g(n) = n**2 - 3*n + 1. Let v be g(4). Let a be 8/(-12) - ((-60)/9)/v. Solve -4/9 - 2/9*b**2 - a*b = 0.
-2, -1
Let b(h) = -h**2 + h + 3. Let x(p) = 7*p**3 - 238*p**2 + 297*p - 72. Let f(m) = 10*b(m) + 5*x(m). Let f(i) = 0. What is i?
2/7, 1, 33
Let y(x) be the third derivative of 17*x**2 - 1/12*x**6 - 2/21*x**7 + 0*x**3 + 0 + 0*x + 7/48*x**5 - 5/96*x**4. Factor y(r).
-5*r*(r + 1)*(4*r - 1)**2/4
Let d(u) be the third derivative of u**8/20160 + u**7/1260 + u**6/240 + 3*u**5/20 + 7*u**2. Let f(z) be the third derivative of d(z). Factor f(g).
(g + 1)*(g + 3)
Let j(u) be the second derivative of -u**5/50 - u**4/30 + 2*u**3/5 + 17*u + 1. Factor j(l).
-2*l*(l - 2)*(l + 3)/5
Let y(f) be the first derivative of 0*f - 1/4*f**3 - 3/8*f**2 + 6. Factor y(a).
-3*a*(a + 1)/4
Suppose -8*j = -9 - 7. Factor 152*k - 3 - 11*k**2 - 311*k**2 - 5 - 400*k**j.
-2*(19*k - 2)**2
Let x(c) be the third derivative of -c**6/20 + 11*c**5/15 - 8*c**4/3 - 32*c**3/3 + 3*c**2 + 127. Factor x(q).
-2*(q - 4)**2*(3*q + 2)
Suppose -2*z = -7*z - 5. Let k(j) = -4*j - 2. Let c be k(z). Solve 2 - 5*u**3 - 9*u**c - u + 4*u + 3*u**4 + 4 + 2*u**3 = 0.
-1, 1, 2
Suppose -83*n = -85*n + 6. Find o such that -19*o - 3*o**n + 11*o + 5*o**4 + 4*o - 12*o**2 = 0.
-1, -2/5, 0, 2
Suppose -7*n = -2*n - 110. Let u(x) = -250*x**2 - 211*x - 29. Let b(g) = 15 - 42*g - 13 - 50*g**2 - 8. Let l(q) = n*b(q) - 4*u(q). Suppose l(i) = 0. What is i?
-2/5
Let y(i) be the third derivative of i**5/20 + i**4/8 - i**3 - 81*i**2 - 2. Factor y(d).
3*(d - 1)*(d + 2)
Let c(t) be the second derivative of 1/2*t**3 + 0*t**2 - 1/4*t**4 + 0 - 8*t. What is z in c(z) = 0?
0, 1
Let n(g) = -2*g + 8. Let y be n(3). Factor -5*z**2 + 9*z + 8*z**y + 0*z.
3*z*(z + 3)
Factor 27*h + h**2 - 12 - 2 - 19 + 5.
(h - 1)*(h + 28)
Suppose -5*r + 2 = -13. Find g such that -10 - r*g - 6*g + 4*g + 0 + 5*g**2 = 0.
-1, 2
Let o(l) be the second derivative of -l**7/84 + 3*l**6/40 - 3*l**5/80 - l**4/12 - 45*l. Solve o(t) = 0.
-1/2, 0, 1, 4
Let u(q) = q**3 + 7*q**2 - 9*q - 2. Let a be u(-8). Let z(v) = -4*v**2 - 2*v + 2. Let m(o) = -7*o**2 - 4*o + 3. Let r(x) = a*m(x) - 10*z(x). Factor r(d).
-2*(d + 1)**2
Let j(r) be the first derivative of 5*r**4/4 - 15*r**3 + 35*r**2 + 35. Suppose j(x) = 0. Calculate x.
0, 2, 7
Suppose 3*a = -2*a. Suppose a = -4*r + 6*r - 4. Factor -2/3*k - 1/3 - 1/3*k**r.
-(k + 1)**2/3
Let t(n) be the third derivative of 2/15*n**5 - 13/60*n**4 + 17*n**2 + 0 - 3/100*n**6 + 0*n + 2/15*n**3. Factor t(c).
-2*(c - 1)**2*(9*c - 2)/5
Determine a, given that 0*a**2 + 0*a - 4*a**4 - 1/4*a**5 + 0*a**3 + 0 = 0.
-16, 0
Let w(t) be the second derivative of t**6/3420 + t**5/570 + t**4/228 - 7*t**3/3 + 39*t. Let c(o) be the second derivative of w(o). Factor c(s).
2*(s + 1)**2/19
Let z be (28/(-35))/((-2)/(-15)). Let d be z/(2 + -4) + -1. Factor o**d + 4 - 7*o + 4*o - 1 - 1.
(o - 2)*(o - 1)
Let n(g) be the first derivative of g**2 + 9*g - 2. Let y be n(-4). What is b in -12*b**4 - 15*b - 5 + 9*b**2 + 3*b**2 - 12*b**5 + 33*b**3 - y = 0?
-2, -1/2, 1
Let d = -9 - -11. Let v(k) be the second derivative of 0 + 10*k + 1/6*k**4 + k**d - 2/3*k**3. Determine r so that v(r) = 0.
1
Let v(j) be the first derivative of -2/35*j**5 - 28*j**3 - 196*j**2 - 686*j - 2*j**4 + 22. Factor v(r).
-2*(r + 7)**4/7
Factor 165*b + 8*b**2 + 233 - 63 - 13*b**2.
-5*(b - 34)*(b + 1)
Suppose -r - 3 = d, d - 3*r - 2 = 15. Let a(b) be the second derivative of 3*b + 1/24*b**3 + 0 + 1/48*b**4 + 0*b**d. Factor a(i).
i*(i + 1)/4
Let n(y) be the third derivative of 3/5*y**4 + 9/20*y**5 + 0 + 2/5*y**3 + 1/8*y**6 + 0*y + 10*y**2. Factor n(o).
3*(o + 1)*(5*o + 2)**2/5
Let k(y) be the first derivative of y**6/80 + 21*y**5/40 + 15*y**4/2 + 25*y**3 - 3*y**2 - 30. Let q(p) be the second derivative of k(p). Solve q(n) = 0.
-10, -1
Factor -182/3*v - 8281/3 - 1/3*v**2.
-(v + 91)**2/3
Let g(x) be the first derivative of -3 + 2*x**2 - 1/3*x**3 + 6*x - 1/6*x**4. Let n(z) be the first derivative of g(z). Factor n(j).
-2*(j - 1)*(j + 2)
Let n(c) be the first derivative of c**4/28 - 2*c**3/7 + 4*c**2/7 + 97. Factor n(q).
q*(q - 4)*(q - 2)/7
Let i = 8361 + -25061/3. Factor 4/3 + 10/3*z**4 + 14*z**2 - 34/3*z**3 - i*z.
2*(z - 1)**3*(5*z - 2)/3
Let r(d) be the third derivative of -1/80*d**5 - 3/4*d**3 + 0 + 0*d + 11*d**2 + 5/32*d**4. Suppose r(b) = 0. Calculate b.
2, 3
Let u = 64 + -52. Solve -9*c**4 - u*c + 21*c**2 + 77 - 2*c**3 + 6*c**2 - 81 = 0 for c.
-2, -2/9, 1
Suppose -4*o + 6*o - v = 52, -o = -5*v - 44. Let z = o - -1. Determine y so that 5*y**3 + 20 - 18 - 12 + z*y - 20*y**2 = 0.
1, 2
Suppose -19*p = -14*p - 25. Let 4*g**5 + 5*g - 16*g**3 + 6*g**3 + 3*g**5 - 2*g**p = 0. What is g?
-1, 0, 1
Let s be -15*(-1)/6 + -1. Let p(h) be the first derivative of h**3 + 3 + 0*h + s*h**2. Factor p(n).
3*n*(n + 1)
Let o(v) be the first derivative of v**7/280 - 3*v**5/40 + v**4/4 - 16*v**3/3 - 14. Let u(a) be the third derivative of o(a). What is r in u(r) = 0?
-2, 1
Let f(p) be the third derivative of p**5/100 - 19*p**4/20 - 37*p**2 - 5*p. Factor f(j).
3*j*(j - 38)/5
Suppose 4*w - 20 = -6*s + 10*s, 0 = -w - 5*s - 7. Let n(a) be the first derivative of 1/9*a**3 + a**2 + w*a - 4. Let n(t) = 0. Calculate t.
-3
Factor 0*n + 10/3*n**2 - 11/3*n**3 + 1/3*n**4 + 0.
n**2*(n - 10)*(n - 1)/3
Let a be 1*-3*4/(-15). Let k be (17/((-340)/30))/6 + 1/4. Suppose -a*q + k - 2/5*q**2 = 0. Calculate q.
-2, 0
Suppose 2*b - 8 = r - 3*b, 5*r - 8 = b. Let u(l) be the second derivative of -1/3*l**3 - 1/10*l**6 + 0 - 2/5*l**5 + 0*l**r - 7/12*l**4 + 4*l. Factor u(o).
-o*(o + 1)**2*(3*o + 2)
Let h be (20/12)/(-5*3/(-18)). What is i in -9/5*i - 9/5*i**h - 3/5 - 3/5*i**3 = 0?
-1
Suppose -336 + 420 = 21*w. Factor -1/4*r**5 + r**w - 5/4*r**3 + 0 + 1/2*r**2 + 0*r.
-r**2*(r - 2)*(r -