1)
Let h = 93/5 - 269/15. Factor 0 + 0*d**3 - 4/9*d**5 + 2/9*d**2 - h*d**4 + 0*d.
-2*d**2*(d + 1)**2*(2*d - 1)/9
Let j(n) = 9*n - 250. Let h be j(28). What is x in -2/11*x**h + 0*x - 2/11*x**3 + 0 = 0?
-1, 0
Let g = 44 - -340/3. Let h = g + -155. Factor 2/3*d**2 + h*d**4 + 0*d - 3*d**3 + 0.
d**2*(d - 1)*(7*d - 2)/3
Let q(a) be the third derivative of -a**5/330 + a**4/33 - 4*a**3/33 + 56*a**2. Solve q(h) = 0.
2
Let a = 13 - 19. Let u = a + 6. What is x in u - 1 + 3 - 2*x**3 + 3*x + x**3 = 0?
-1, 2
Let p be 4 - (1/(-4) + 70/56). Let c(i) be the first derivative of 2 + 8/3*i**3 + p*i**2 - 2*i. Factor c(y).
2*(y + 1)*(4*y - 1)
Let r(l) be the third derivative of l**5/20 - 2*l**3 - 26*l**2. Factor r(x).
3*(x - 2)*(x + 2)
Let i be 6/(-9)*3*-1. Let a(j) be the first derivative of -1/16*j**4 + 0*j**3 + 0*j - 1/20*j**5 + 3 + 0*j**i. Suppose a(w) = 0. What is w?
-1, 0
Let c(j) = -1. Let p(h) = 2. Let l(t) = -3*c(t) - p(t). Let y(i) = i**2 - 2*i - 3. Let u be (2 - 0 - 3)/(-1). Let z(g) = u*y(g) + 3*l(g). Factor z(s).
s*(s - 2)
Let i(r) be the second derivative of -r**4/36 - r**3/9 + 4*r**2/3 + 14*r. Factor i(v).
-(v - 2)*(v + 4)/3
Suppose 2*v + 0*v = -56. Let q(r) = -r**3 - 3*r**2 + r. Let n(h) = 4*h**3 + 14*h**2 - 4*h. Let p(l) = v*q(l) - 6*n(l). Factor p(j).
4*j*(j - 1)*(j + 1)
Let f(w) be the third derivative of -w**7/315 + w**6/36 - w**5/15 - w**4/9 + 8*w**3/9 + 18*w**2. Factor f(c).
-2*(c - 2)**3*(c + 1)/3
Let o be -2 + 1*(-76)/(-8) + -2. Factor 4*h + 3/2*h**3 - o*h**2 + 2.
(h - 2)**2*(3*h + 1)/2
Factor 6/5*a - 3/5 - 3/5*a**2.
-3*(a - 1)**2/5
Let a = 2 - 2. Let j(v) be the second derivative of 1/8*v**2 + 1/120*v**6 + 0 + 0*v**5 - 1/24*v**4 - v + a*v**3. Factor j(s).
(s - 1)**2*(s + 1)**2/4
Let y(v) be the first derivative of -2*v**3/27 - v**2/9 + 7. Determine g so that y(g) = 0.
-1, 0
Suppose 0 = -12*r + 37 + 11. Find f such that -10/7*f**2 + 0 + 2/7*f**r - 2/7*f**5 + 6/7*f**3 + 4/7*f = 0.
-2, 0, 1
Let x(r) be the second derivative of 5*r**7/56 - r**6/6 + r**5/10 + r**3/3 - 4*r. Let z(o) be the second derivative of x(o). Find j, given that z(j) = 0.
0, 2/5
Suppose 2*u + 11 = -5*i, -i - 2*u + 0*u = 7. Let b(t) = -t**2. Suppose -3*v - 10 - 2 = 0. Let n(g) = 7*g**2 - 4*g + 1. Let c(x) = i*n(x) + v*b(x). Factor c(h).
-(h - 1)*(3*h - 1)
Let -54*j**2 + 29*j**2 + 30*j - 40 + 20*j**2 = 0. What is j?
2, 4
Let g(r) be the third derivative of -r**7/42 - r**6/12 + r**5/12 + 5*r**4/12 + 27*r**2. Let g(d) = 0. What is d?
-2, -1, 0, 1
Suppose -1 - 3 = -2*p. Find k such that -9*k**p - 22*k + 15*k + 13*k + 3*k**3 = 0.
0, 1, 2
Let q(g) be the first derivative of -g**4/2 - 8*g**3/3 + 12*g**2 + 21. Suppose q(d) = 0. Calculate d.
-6, 0, 2
Solve -2/21*u**5 + 4/21*u**3 + 0*u**4 + 0*u**2 - 2/21*u + 0 = 0.
-1, 0, 1
Let s(l) = -4*l**3 - 26*l**2 - 12*l + 42. Let d(y) = 12*y**3 + 77*y**2 + 36*y - 125. Let g(o) = 6*d(o) + 17*s(o). Determine z, given that g(z) = 0.
-3, 1
Let b(u) = -5*u**4 + u**2 + 8. Let y(c) = -9*c**4 + c**3 + c**2 - c + 15. Let m(r) = 7*b(r) - 4*y(r). Factor m(s).
(s - 2)**2*(s - 1)*(s + 1)
Let z(v) be the first derivative of -1/20*v**5 - 1/16*v**2 + 0*v + 5 + 1/48*v**6 + 1/12*v**3 + 0*v**4. Solve z(l) = 0.
-1, 0, 1
Let l(a) = -a + 2 - a**2 - 2 + 1. Let q(s) = -2*s**2 - s + 1. Let u(o) = 2*l(o) - 2*q(o). Determine i so that u(i) = 0.
0
Let w = -403/4 + 101. Factor 0 + 1/4*r - w*r**2.
-r*(r - 1)/4
Let o(m) be the first derivative of m**3/15 - m**2/2 - 6*m/5 + 39. What is w in o(w) = 0?
-1, 6
Let a be (4/(10*-6))/(-12). Let y(m) be the third derivative of 0 - 1/9*m**3 + a*m**5 + 0*m - 1/72*m**4 + m**2. Factor y(f).
(f - 2)*(f + 1)/3
Let l be (-24)/(-9) + 4/(-6). Let t(u) = -u**2 - u. Let h(x) = 2*x**2 - x + 1. Let j(d) = l*t(d) + 2*h(d). What is i in j(i) = 0?
1
Let g = 179 + -357/2. Factor -g*x + 0 + x**2 - 1/2*x**3.
-x*(x - 1)**2/2
Let m(q) be the first derivative of 2 + 1/4*q**4 + 1/3*q**3 + 0*q - q**2. Find l, given that m(l) = 0.
-2, 0, 1
Let f(n) = n**3 - 31*n**2 + 195*n - 165. Let z(h) = h**2 - 1. Let t(j) = f(j) + 4*z(j). Factor t(q).
(q - 13)**2*(q - 1)
Let z(c) be the second derivative of c**6/10 - 3*c**4/4 + c**3 + 3*c. Determine y, given that z(y) = 0.
-2, 0, 1
Let n(c) be the third derivative of 0*c + 1/6*c**4 - 2*c**2 + 1/10*c**5 + 0*c**3 - 1/30*c**6 + 0 - 1/35*c**7. Suppose n(x) = 0. What is x?
-1, -2/3, 0, 1
Suppose 3*w + 5*c = -28, -4*w - c = c + 14. Let o be w - 7*(1 - 2). Find f, given that o - 4 + 2*f**3 + 9*f**2 + 6*f - 3*f**2 = 0.
-1
Suppose -4*m = -2*m. Suppose -4*d + m*d = -12. Factor -9*c**3 - 6*c + 5*c + d*c**4 - 2*c + 9*c**2.
3*c*(c - 1)**3
Let v be 1*1/(1 + 0). Let f be v + 8/2 + -3. Factor -9*l**3 - 2*l + 11*l**3 + 0*l**2 - f*l**4 + 2*l**2.
-2*l*(l - 1)**2*(l + 1)
Suppose 1 + 4*a - 1 - 2*a**2 + 6 = 0. Calculate a.
-1, 3
Let s(p) = p**4 - p**3 - p**2 - p + 1. Let o(l) = -3*l**4 + 5*l**3 - 11*l**2 + 5*l + 27. Let k(n) = -o(n) - 5*s(n). Factor k(i).
-2*(i - 2)**2*(i + 2)**2
Let v(k) be the first derivative of 1/2*k**4 + 0*k + 3 - 1/5*k**5 + 0*k**2 - 1/3*k**3. Factor v(w).
-w**2*(w - 1)**2
Let m(g) be the second derivative of 0 + 2*g + 13/4*g**4 + 6*g**3 + 6*g**2 + 9/10*g**5 + 1/10*g**6. Factor m(h).
3*(h + 1)**2*(h + 2)**2
Let o(f) be the first derivative of f**6/80 - f**4/16 + f**2/2 + 2. Let s(t) be the second derivative of o(t). Let s(n) = 0. Calculate n.
-1, 0, 1
Let z = 28 + -20. Let g = -6 + z. Find n such that 0 - 2/3*n**2 - g*n**3 + 0*n = 0.
-1/3, 0
Let m(t) be the first derivative of 3*t**4/8 + 3*t**3 + 27*t**2/4 - 6. Factor m(x).
3*x*(x + 3)**2/2
Let t(r) be the second derivative of -r**7/21 - r**6/5 - 3*r**5/10 - r**4/6 + 2*r. Factor t(f).
-2*f**2*(f + 1)**3
Let k(t) be the first derivative of 4*t**3/9 - 2*t**2/3 - 44. Determine x so that k(x) = 0.
0, 1
Let q = -19 - -22. Let 23*t**2 - 7 - 1 - 5*t**2 - 14*t**q + 24*t = 0. What is t?
-1, 2/7, 2
Let t(b) be the first derivative of -3 - 1/3*b**3 + 0*b + 1/6*b**6 - 3/4*b**4 + 1/5*b**5 + b**2. Factor t(h).
h*(h - 1)**2*(h + 1)*(h + 2)
Suppose 35*o**2 - 108 + 108 - 10*o = 0. What is o?
0, 2/7
Let k(m) = -9*m**2 + 9*m. Let p(j) = 3*j - 15. Let i be p(7). Let z(a) = 19*a**2 - 19*a. Let r(n) = i*z(n) + 13*k(n). Factor r(s).
-3*s*(s - 1)
Let l(d) be the first derivative of -4*d**5/5 - 4*d**4 - 20*d**3/3 - 4*d**2 + 2. Factor l(i).
-4*i*(i + 1)**2*(i + 2)
Suppose 6 - 2 = l. Let -2*b**3 - 6*b**l + 2*b**5 - 4*b**3 - 3*b**5 - b**5 - 2*b**2 = 0. What is b?
-1, 0
Determine d, given that 94*d**2 + 97*d**3 + 47*d**4 - d**5 + 8 + d**4 + 44*d + 10*d**5 = 0.
-2, -1, -2/3
Let t(j) = -3*j**2 + 5*j**2 + 0 + j**2 - 4*j - 2. Let m be t(2). Factor 1/4 + 1/4*v**m + 1/2*v.
(v + 1)**2/4
Let o be (0 - 1) + 13/9. Let z = 2/1867 - -3716/16803. Solve -2/9*y + 2/9*y**4 - 4/9*y**2 + o*y**3 + z - 2/9*y**5 = 0.
-1, 1
Factor 12/5*m**3 + 0 - 9/5*m**4 - 4/5*m**2 + 0*m.
-m**2*(3*m - 2)**2/5
Suppose 0 = 3*k + 2*x - 8, 2*k + 2*x - 10 = -2*k. Factor 0*m + 0 - 2/9*m**k - 2/9*m**3 + 2/9*m**5 + 2/9*m**4.
2*m**2*(m - 1)*(m + 1)**2/9
Let o(j) be the first derivative of -j**4/54 - 2*j**3/27 - j**2/9 - j + 2. Let b(s) be the first derivative of o(s). Let b(y) = 0. What is y?
-1
Let t(r) be the second derivative of -r**5/10 - r**4/6 + r**3/3 + r**2 - 25*r. Factor t(b).
-2*(b - 1)*(b + 1)**2
Find g such that -8/3*g**2 + 0 - 2*g**3 - 2/3*g**5 + 8/3*g**4 + 8/3*g = 0.
-1, 0, 1, 2
Let a(v) be the second derivative of -v**5/210 + v**4/42 + v**3/63 - v**2/7 + 16*v. Factor a(y).
-2*(y - 3)*(y - 1)*(y + 1)/21
Let r(t) = -8*t**3 + 8*t**2 + 4*t + 4. Let o(i) = 7*i**3 - 8*i**2 - 3*i - 3. Let l(f) = 4*o(f) + 3*r(f). Determine s so that l(s) = 0.
0, 2
Let i(k) be the first derivative of 2/27*k**3 - 1/9*k**2 + 0*k + 4. Determine t so that i(t) = 0.
0, 1
Let s(m) be the first derivative of 2*m**3 - 4*m**2 - 2*m + 3. Let n(x) = -7*x**2 + 9*x + 3. Let h(p) = 4*n(p) + 5*s(p). Find z, given that h(z) = 0.
1
Let u = 2/917 - 3694/11921. Let k = u - -64/39. Solve 0 - k*d**3 + 4/3*d + 2/3*d**2 - 2/3*d**4 = 0.
-2, -1, 0, 1
Let z(r) be the third derivative of r**9/120960 - r**8/40320 + r**5/20 + 3*r**2. Let f(p) be the third derivative of z(p). Factor f(b).
b**2*(b - 1)/2
Let p = -18299/60 - -305. Let c(s) be the third derivative of 0*s + 0*s**3 - 4*s**2 + 0 + p*s**5 + 1/24*s**4. Let c(x) = 0. What is x?
-1, 0
Let p(c) be the first derivative of -c