ch that r(d) = 0.
-1, 2
Let n be (7 - (-1 - -5)) + -1. Let -16/7*m + 18/7*m**5 + 0 + 6*m**4 - 40/7*m**n - 4/7*m**3 = 0. Calculate m.
-2, -2/3, 0, 1
Let k(p) = 5*p**3 - 12*p**2 - 18*p - 8. Let j(d) = -d**3 + d**2 + d. Let h(u) = -6*j(u) - k(u). What is o in h(o) = 0?
-2
Let t = 26 + -29. Let q(w) = w**2 + 3*w + 2. Let p be q(t). Factor 0*y**p - 1/2*y**3 + 0 + 0*y.
-y**3/2
Let k be 0/((-5)/(-4 + 9)). Factor k + 0*u - 3/5*u**3 - 3/5*u**4 + 3/5*u**5 + 3/5*u**2.
3*u**2*(u - 1)**2*(u + 1)/5
Suppose 14 = -6*g + 14. Factor 4/5*p + g + 6/5*p**2.
2*p*(3*p + 2)/5
Let l be 3/2 - (-325)/(-234). Let a(i) be the first derivative of 1/6*i**2 + l*i**3 + 0*i - 2. Factor a(o).
o*(o + 1)/3
Let u(b) be the second derivative of -b**6/120 + b**5/20 - b**4/8 - 5*b**3/6 - 2*b. Let g(w) be the second derivative of u(w). Solve g(n) = 0.
1
Let q be ((-112)/24)/(1/6). Let l be (-11)/q + (-3)/21. Factor -1/4*d**4 + 1/4*d**3 + 1/4*d**2 + 0 - l*d.
-d*(d - 1)**2*(d + 1)/4
Let s = 22/13 + -32/65. Factor -3/5*w**5 + 9/5*w - 9/5*w**4 - s*w**3 + 6/5*w**2 + 3/5.
-3*(w - 1)*(w + 1)**4/5
Let s(c) be the second derivative of -2/21*c**3 + 3*c + 1/35*c**6 + 0*c**2 + 2/35*c**5 - 1/42*c**4 + 0. Factor s(g).
2*g*(g + 1)**2*(3*g - 2)/7
Factor -1/7*p**4 + 3/7*p**3 + 0 + 0*p + 0*p**2.
-p**3*(p - 3)/7
Let d be 484/(-770) - 6/(-5). Determine y, given that -2/7*y + d - 2/7*y**2 = 0.
-2, 1
Let l(x) be the second derivative of -1/60*x**4 + 0*x**3 + 0*x**2 + x + 0. Suppose l(s) = 0. Calculate s.
0
Factor 2*h**2 + 8/3 - 16/3*h.
2*(h - 2)*(3*h - 2)/3
Factor 6/11*r**2 + 4/11 - 10/11*r - 2/11*r**4 + 2/11*r**3.
-2*(r - 1)**3*(r + 2)/11
Let m(i) be the third derivative of -i**5/120 - 2*i**4/3 - 64*i**3/3 - 41*i**2. Factor m(k).
-(k + 16)**2/2
Factor 1/3*o + 0*o**3 + 0 - 2/3*o**4 + 2/3*o**2 - 1/3*o**5.
-o*(o - 1)*(o + 1)**3/3
Let l(j) be the second derivative of 3*j**2 + 1/4*j**4 + 3/2*j**3 + 3*j + 0. Factor l(d).
3*(d + 1)*(d + 2)
Let -5 + 1 + 2 - 2 + u**2 - 3*u = 0. Calculate u.
-1, 4
Let h(u) be the third derivative of u**5/210 + u**4/84 - 2*u**3/21 + 11*u**2. Factor h(r).
2*(r - 1)*(r + 2)/7
Factor 0 - 8/7*g**2 - 4/7*g.
-4*g*(2*g + 1)/7
Let s = 6650/9 - 738. Let x = s + -7/18. Factor -1/2 + x*a**4 + a - a**3 + 0*a**2.
(a - 1)**3*(a + 1)/2
Let r(j) = -j**3 - j**2 - 1. Let h = 8 - 3. Let c(w) = -14*w**4 + 5*w**3 + 13*w**2 - 10*w - 9. Let y(g) = h*r(g) - c(g). What is o in y(o) = 0?
-1, -2/7, 1
Let m(g) be the second derivative of 5*g**7/42 + 5*g**6/6 + 9*g**5/4 + 35*g**4/12 + 5*g**3/3 - 6*g. Factor m(y).
5*y*(y + 1)**3*(y + 2)
Let s be 2 - (0/(-4))/(-1). Find k, given that -7 - 8 + 3*k**s + 20 - 8 = 0.
-1, 1
Let w(g) be the third derivative of 1/14*g**4 - 2/735*g**7 - 1/70*g**6 + 0*g + 5*g**2 + 4/21*g**3 - 1/105*g**5 + 0. Solve w(j) = 0.
-2, -1, 1
Let r(u) be the first derivative of u**8/112 - u**7/70 - u**6/20 + u**5/10 + u**4/8 - u**3/2 + u**2 + 1. Let c(y) be the second derivative of r(y). Factor c(j).
3*(j - 1)**3*(j + 1)**2
Suppose 20 = -2*w + 7*w. Suppose 0*j + 2*j = w. Factor 0 + 0*s + 0*s**j + 1/3*s**3.
s**3/3
Let u be (3/12)/((7/(-8))/(-7)). Let -2*o + 3 + 1/3*o**u = 0. What is o?
3
Let j be (10/(-20))/((-3)/2). Let p(q) be the first derivative of 0*q - 3/8*q**4 + j*q**3 + 2 + 0*q**2 + 1/10*q**5. Factor p(y).
y**2*(y - 2)*(y - 1)/2
Let a = -3079/20 - -154. Let p(n) be the second derivative of 0*n**3 + 1/12*n**4 + 0*n**2 + 2*n + a*n**5 + 0. Solve p(y) = 0 for y.
-1, 0
Let z(m) be the first derivative of 0*m**2 + 16/15*m**5 - 11/12*m**4 + 2 + 0*m - 7/18*m**6 + 2/9*m**3. Factor z(i).
-i**2*(i - 1)**2*(7*i - 2)/3
Let w be 27/(-744)*8/(-6). Let o = 233/310 + w. Factor -2/5*l**2 - 2/5 + o*l.
-2*(l - 1)**2/5
Let g(w) be the first derivative of -20*w**6/9 + 2*w**5/5 + 11*w**4/3 - 2*w**3/3 - 2*w**2/3 - 3. Determine f, given that g(f) = 0.
-1, -1/4, 0, 2/5, 1
Let u(w) be the first derivative of -2*w**3/21 - w**2/7 + 4*w/7 + 15. Suppose u(b) = 0. What is b?
-2, 1
Let d(k) = 3*k**2 + 3*k - 4. Let l be d(1). Let 1/2*h**l - h**4 + h**3 + 1/4*h**5 + 1/2 - 5/4*h = 0. What is h?
-1, 1, 2
Let m(p) be the third derivative of p**5/330 + p**4/132 - 2*p**3/11 + 2*p**2. Factor m(i).
2*(i - 2)*(i + 3)/11
Let h(c) be the first derivative of -c**3 - 3*c**2/2 + 35. Suppose h(a) = 0. What is a?
-1, 0
Let w(t) be the first derivative of -t**9/1512 - t**8/840 + t**7/420 + t**6/180 + t**3 + 2. Let f(x) be the third derivative of w(x). Factor f(s).
-2*s**2*(s - 1)*(s + 1)**2
Let n(v) be the third derivative of -v**8/11760 + v**7/1764 - v**6/630 + v**5/420 - v**4/8 + v**2. Let q(i) be the second derivative of n(i). Factor q(g).
-2*(g - 1)**2*(2*g - 1)/7
Let h(s) be the second derivative of s**4/48 - s**2/8 - 7*s. Determine z, given that h(z) = 0.
-1, 1
Suppose -5*l - 3*o = 5, -3*o = l + 2 + 11. Determine u, given that 8/9*u**4 - 8/9*u**l + 2/9*u + 0 + 4/9*u**3 - 2/3*u**5 = 0.
-1, 0, 1/3, 1
Factor 17/5*f - 3/5*f**3 + 4/5*f**2 - 6/5.
-(f - 3)*(f + 2)*(3*f - 1)/5
Let l(q) = 2*q**2 - 3*q - 3. Let z be l(3). Find a, given that -4*a - a**3 - z*a**2 - 2*a**3 + a = 0.
-1, 0
Suppose -5*b - 22 - 23 = 0. Let q = b - -15. Let 5 - 4*x + 4*x**2 + 4*x**3 + x + 2*x**5 - q*x**4 - 3*x - 3 = 0. What is x?
-1, 1
Find v such that 6*v**3 + 36*v - 16 - 2*v**3 - 6*v**3 - 4*v**3 - 14*v**2 = 0.
-4, 2/3, 1
Let u(f) = -11*f - 10*f + 3*f**2 + 1 + 8*f**3 + 5*f + 4*f. Let i(g) = g**3 - g. Suppose 3*v + 13 = 67. Let t(w) = v*i(w) - 2*u(w). Factor t(m).
2*(m - 1)**3
Let g be (874/42)/((-3)/(-54)). Let a = -374 + g. Factor -2/7*b**2 + a*b - 2/7*b**3 + 0.
-2*b*(b - 1)*(b + 2)/7
Let f(n) = 5*n**3 - 19*n**2 + 41*n - 9. Let s(h) = -5*h**3 + 18*h**2 - 42*h + 8. Let y(x) = 7*f(x) + 6*s(x). Factor y(d).
5*(d - 3)*(d - 1)**2
Let x(g) be the first derivative of -9/7*g - 25/21*g**3 + 6 + 15/7*g**2. Factor x(u).
-(5*u - 3)**2/7
Let r be 12/5 + 6/(-15). Factor -10*u**2 + 3*u + 7*u + 0*u**3 - 4 + r*u**3 + 2*u**2.
2*(u - 2)*(u - 1)**2
Let p = 7/12 + -1/3. Let z(d) be the second derivative of -7/40*d**6 - p*d**3 - 3/16*d**4 + 0 + 0*d**2 + 9/20*d**5 + 2*d. Factor z(l).
-3*l*(l - 1)**2*(7*l + 2)/4
Let d(b) be the second derivative of 1/15*b**6 + 1/5*b**5 + 0*b**2 + 1/6*b**4 + 0*b**3 + 0 + 4*b. Factor d(a).
2*a**2*(a + 1)**2
Let q(x) = -7*x**3 + 18*x**2 - 75*x - 6. Let f(y) = -8*y**3 + 18*y**2 - 74*y - 7. Let c(v) = 6*f(v) - 7*q(v). Determine z so that c(z) = 0.
0, 9
Factor 0 + 0*z**3 + 2/19*z**5 + 2/19*z**4 + 0*z + 0*z**2.
2*z**4*(z + 1)/19
Let g(a) be the first derivative of a**9/4536 - a**7/630 + a**5/180 + 4*a**3/3 - 3. Let s(y) be the third derivative of g(y). Let s(k) = 0. Calculate k.
-1, 0, 1
Let u(q) = -q. Suppose -i - 15 = 2*i. Let z(f) = f**2 + 6*f. Let v(t) = i*u(t) - z(t). Solve v(n) = 0 for n.
-1, 0
Solve -49/10*p**5 - 34/5*p**2 - 35/2*p**4 - 93/5*p**3 + 0 - 4/5*p = 0 for p.
-2, -1, -2/7, 0
Let v(h) = -h - 14. Let n be v(0). Let z be (-52)/n + (-8)/(-28). Solve -12*m**2 + 18*m + 0 + z + 32*m**2 = 0.
-1/2, -2/5
Let t(z) be the third derivative of -z**9/42336 + z**8/10080 - z**7/8820 - z**5/60 - 2*z**2. Let v(k) be the third derivative of t(k). Solve v(y) = 0 for y.
0, 2/5, 1
Factor -46*c**3 - 2 + 52*c**3 - 20*c**2 + 14*c + 4*c**2 - 2.
2*(c - 1)**2*(3*c - 2)
Let b(z) = 4*z**2 - 9*z. Let r(k) = -2*k**2 - 33 + 2*k + 33 + k**2. Let j(g) = 6*b(g) + 26*r(g). Find i such that j(i) = 0.
-1, 0
Let m(b) be the first derivative of b**4/36 + b**3/27 - 2*b**2/9 - 4*b/9 - 13. Factor m(i).
(i - 2)*(i + 1)*(i + 2)/9
Suppose 0 = -0*a - 5*a. Suppose -6*f + a*f = 0. Solve f - 1/2*y**2 - 1/2*y = 0.
-1, 0
Let n(g) be the first derivative of 12*g**2 + 12*g - 3*g**3 + 6/5*g**5 + 7 - 15/4*g**4. Find x such that n(x) = 0.
-1, -1/2, 2
Let t(j) be the first derivative of 3/5*j**5 - j**3 - 3/2*j**2 + 3/4*j**4 + 4 + 0*j. Factor t(r).
3*r*(r - 1)*(r + 1)**2
Let m be ((-3)/(-2))/(3/4). Suppose -m*a = -3*a + 5, -5*a = 2*t - 29. Factor 15 + 2*i**5 - 15 - 4*i**5 + 4*i**4 - t*i**3.
-2*i**3*(i - 1)**2
Let u = -7/5 - -33/20. Let k(v) be the second derivative of 2*v + 0*v**3 + 1/10*v**5 + 1/2*v**2 + 0 - u*v**4. What is s in k(s) = 0?
-1/2, 1
Let y(j) be the third derivative of j**6/540 + j**5/180 + j**3 - 4*j**2. Let p(m) be the first derivative of y(m). Find i such that p(i) = 0.
-1, 0
Let l(o) be the third derivative of o**7/70 - o**6/20 + o**4/4 - o**3/2 - 4*o**2. Solve l(v) = 0.
-1, 1
Let b(u