)**2
Let i be (37 - 40) + (-1 + 0)*-6. Determine v so that 2/13*v + 64/13*v**i - 20/13*v**2 - 64/13*v**4 + 0 = 0.
0, 1/4, 1/2
Let j(v) = 5*v**2 + 15*v + 10. Let r(i) = 26*i**2 + 74*i + 50. Let o(f) = 22*j(f) - 4*r(f). Find w, given that o(w) = 0.
-5, -2/3
Solve -1/2*c**2 + 0*c + 2 = 0 for c.
-2, 2
Let m(q) be the second derivative of -5*q**9/10584 + q**8/1960 + q**7/1470 + 7*q**3/6 + 3*q. Let l(f) be the second derivative of m(f). Let l(d) = 0. What is d?
-2/5, 0, 1
Let l(y) be the first derivative of y**8/490 - y**7/588 - y**6/630 + y**3/3 - 2. Let r(n) be the third derivative of l(n). Find d such that r(d) = 0.
-1/4, 0, 2/3
Let d = -40 + 29. Let a(k) = k**3 + 10*k**2 - 11*k + 2. Let g be a(d). Find h such that -2*h**g - h**2 + h**2 = 0.
0
Let t(b) be the first derivative of -b**2/2 + 16*b - 1. Let o be t(16). Factor 0 + o*d + 2/3*d**2 - 1/3*d**4 + 1/3*d**3.
-d**2*(d - 2)*(d + 1)/3
Let t(n) be the third derivative of n**6/180 - n**5/30 + n**4/12 - n**3/9 + 22*n**2. Factor t(i).
2*(i - 1)**3/3
Let j(m) be the first derivative of -5*m**4/14 + 2*m**3/3 - 2*m**2/7 - 2. Factor j(l).
-2*l*(l - 1)*(5*l - 2)/7
Let r(k) be the first derivative of -k**5/10 + k**4/4 - k**2/2 + k/2 - 3. Factor r(c).
-(c - 1)**3*(c + 1)/2
Let x(a) be the second derivative of -7*a**5/5 - 5*a**4/3 + 32*a**3/3 - 8*a**2 - 3*a + 7. Factor x(m).
-4*(m - 1)*(m + 2)*(7*m - 2)
Let s(w) be the second derivative of -w**5/10 + 2*w**4/3 - 5*w**3/3 + 2*w**2 + 20*w. Determine t, given that s(t) = 0.
1, 2
Let p(q) be the first derivative of q**6/1080 - q**5/180 + q**4/72 + q**3/3 - 2. Let z(k) be the third derivative of p(k). Find f such that z(f) = 0.
1
Factor 1 + y - y - 2*y - y**2 + 2*y**2.
(y - 1)**2
Let s(y) = -5*y**4 + 5*y**3 + 9*y**2 - 2*y - 7. Let q(a) = -24*a**4 + 24*a**3 + 44*a**2 - 10*a - 34. Let r(i) = 3*q(i) - 14*s(i). Factor r(j).
-2*(j - 2)*(j - 1)*(j + 1)**2
Factor 0 + 4/15*f**2 - 2/15*f**3 - 2/15*f.
-2*f*(f - 1)**2/15
Let b be 6/8 + 21/(-28). Let h(d) be the third derivative of -d**2 + 1/180*d**6 + 1/18*d**5 + 4/9*d**3 + 2/9*d**4 + b*d + 0. Factor h(l).
2*(l + 1)*(l + 2)**2/3
Let i(p) be the second derivative of -p**4/2 + 3*p**3/2 + 3*p**2 - 3*p. Factor i(g).
-3*(g - 2)*(2*g + 1)
Let b = -47999/150 - -320. Let l(t) be the second derivative of -b*t**6 + 0 - 1/50*t**5 - 4*t + 1/15*t**3 + 1/10*t**2 + 0*t**4. Factor l(o).
-(o - 1)*(o + 1)**3/5
Let a(q) be the first derivative of 2*q**7/105 - q**6/15 + 3*q**2/2 + 2. Let k(n) be the second derivative of a(n). Factor k(j).
4*j**3*(j - 2)
Let r(n) = n + 21. Let f be r(-15). Let 0*b - 9*b + 0*b**3 + 3*b**3 + f*b**2 = 0. Calculate b.
-3, 0, 1
Suppose -6*f**3 - 4 + 6*f - 4*f**2 + 12*f - 4*f = 0. What is f?
-2, 1/3, 1
Let s(c) be the second derivative of 0*c**2 - 1/6*c**4 + 1/6*c**3 + 0 + 1/20*c**5 - c. Solve s(z) = 0.
0, 1
Let r = -1 - -3. What is w in w - w**r - 2 + 4 + 0*w = 0?
-1, 2
Let a be (-2)/(-12)*-11 - -2. Let g(w) be the second derivative of -w + 1/15*w**6 + 1/3*w**3 - 1/10*w**5 + 0*w**2 - a*w**4 + 0. Factor g(t).
2*t*(t - 1)**2*(t + 1)
Factor 25*s**2 + 35*s + 20 - 30*s + 40*s.
5*(s + 1)*(5*s + 4)
Let b(j) be the first derivative of -3/5*j**2 - 9/5*j - 2 - 1/15*j**3. Factor b(u).
-(u + 3)**2/5
Let r = -2 + 2. Suppose 0*g + 2*g - 8 = r. Solve -g*s + 4*s - s**2 = 0 for s.
0
Let h(k) be the first derivative of 1/6*k + 8/9*k**3 - 9 - 2/3*k**2. Factor h(i).
(4*i - 1)**2/6
Let m(j) be the first derivative of -j**6/21 - 2*j**5/35 + 3*j**4/14 + 10*j**3/21 + 2*j**2/7 + 18. Determine x, given that m(x) = 0.
-1, 0, 2
Let k(i) = -11*i**2 - 7*i + 6. Let m(c) = -21*c**2 - 14*c + 13. Let w(f) = 13*k(f) - 6*m(f). Let s(o) = -4*o**2 - 2*o. Let v(y) = 9*s(y) - 2*w(y). Factor v(n).
-2*n*(n + 2)
Let p(y) be the third derivative of -5*y**2 + 0*y**3 + 1/315*y**7 + 1/60*y**6 + 1/36*y**4 + 0 + 1/30*y**5 + 0*y. Determine m so that p(m) = 0.
-1, 0
Let m be 2*(2 - -1) - 2. Suppose g**m - 14*g + 12*g**2 - 6*g**3 + 0*g**4 + 6*g = 0. Calculate g.
0, 2
Let d = 3/139 + 547/417. Factor d*u + 0 + 2/3*u**2.
2*u*(u + 2)/3
Let h be (-8)/(-6)*15/10. Factor 0*f + 2*f + 27 - 30 + 0*f**2 + f**h.
(f - 1)*(f + 3)
Let u(w) be the second derivative of 1/48*w**4 - 3*w + 0*w**2 - 1/24*w**3 + 0. Factor u(p).
p*(p - 1)/4
Let x be ((-292)/2482)/((-2)/34). Solve 8/7*d + 4/7*d**3 + 12/7*d**x + 0 = 0 for d.
-2, -1, 0
Suppose 0*s + 4 = 2*r - 2*s, 3*r + 5*s = 30. Let v(u) be the second derivative of 0*u**2 + 3*u + 0 - 1/50*u**r - 2/15*u**3 - 1/10*u**4. Factor v(f).
-2*f*(f + 1)*(f + 2)/5
Suppose -4*q - 4 = 0, t + 8 = 4*t + q. Let c(v) = -v**3 - 4*v**2 - 3*v + 4. Let w be c(-3). Find a such that -2*a**2 - 3*a**3 + w*a**t + a**3 = 0.
0, 1
Suppose 0*s = 4*s - 4. Let f(t) = 5*t - 1. Let o be f(s). Factor -2/5*x + 0*x**2 + 1/5 + 2/5*x**3 - 1/5*x**o.
-(x - 1)**3*(x + 1)/5
Let h(s) = 3*s**2 - 1. Let p be h(1). Suppose p*c - 1 = 5. What is q in c*q - 2*q**2 + q**3 - 2*q + 0*q**2 = 0?
0, 1
Factor -24*x**4 - 3 + 3 + 14*x**4 - 2*x**3.
-2*x**3*(5*x + 1)
Let h = 44 - 22. Let q = h - 11. Factor 12*d**3 + 4*d - 9/2*d**4 - 1/2 - q*d**2.
-(d - 1)**2*(3*d - 1)**2/2
Let n = 11 - 9. What is x in n*x**2 + 3*x - 6*x - 3*x**2 - 2 = 0?
-2, -1
Suppose -5*o + 0*b - 3*b = 0, 3*o = -b - 4. Let m = o - -5. Suppose x**3 - x**4 - 3*x**2 - 2*x**3 - x - m*x**3 = 0. Calculate x.
-1, 0
Let f(i) be the third derivative of -i**6/540 + i**5/90 - i**4/54 - 5*i**2. Factor f(d).
-2*d*(d - 2)*(d - 1)/9
Suppose 3*t - 49 = -2*y, -5*y + 15 = -2*y. Suppose 1 = -3*c + t. Factor -6*z**c + 3/2*z + 3/2 - 27/2*z**2 + 33/2*z**3.
-3*(z - 1)**3*(4*z + 1)/2
Factor 2/3*p**3 + 0 + 2*p**2 + 4/3*p.
2*p*(p + 1)*(p + 2)/3
Suppose 2*f - 2*u = -0*u + 6, 0 = 4*u + 12. Let t be (-8)/(-6)*(4 + -1). Factor 0*q - 1/2*q**2 + f - 1/2*q**t + q**3.
-q**2*(q - 1)**2/2
Let v(m) be the second derivative of -m**7/105 + m**6/25 - 3*m**5/50 + m**4/30 - 13*m. Factor v(s).
-2*s**2*(s - 1)**3/5
Factor 2/11*g**2 + 2/11 + 4/11*g.
2*(g + 1)**2/11
Let t(u) be the third derivative of 2*u**7/105 + 2*u**6/15 + 2*u**5/15 - 2*u**4/3 - 2*u**3 + 16*u**2. Let t(l) = 0. Calculate l.
-3, -1, 1
Factor 24 - i + 5*i**2 - 9*i - 24.
5*i*(i - 2)
Let c(r) be the first derivative of -4*r**5/5 + 3*r**4 - 4*r**3 + 2*r**2 - 7. Factor c(l).
-4*l*(l - 1)**3
Let y(f) = f**2 - 2*f - 3. Let g = -12 - -16. Let b(n) = n**2 - 2*n - 2. Let i(v) = g*b(v) - 3*y(v). Determine m, given that i(m) = 0.
1
Suppose -4*f = f - 105. Factor -f*c**4 + 0*c**2 + c**3 + 5*c**3 + 0*c**2.
-3*c**3*(7*c - 2)
Let z(k) be the third derivative of k**5/20 - k**4/4 + k**3/2 - 2*k**2. Find s such that z(s) = 0.
1
Let z(p) be the first derivative of -2*p**3/33 - 4*p**2/11 - 6*p/11 - 18. Factor z(l).
-2*(l + 1)*(l + 3)/11
Determine o, given that 0 - 2/11*o**2 - 2/11*o = 0.
-1, 0
Solve 6 - 3/2*x**3 + 3/2*x**5 + 9/2*x**4 - 21/2*x**2 + 0*x = 0 for x.
-2, -1, 1
Let s be 234/63 + (-4)/(-14). Let h be ((-8)/48)/((-1)/s). Find x such that -h*x**2 - 4/3*x + 0 = 0.
-2, 0
Let s(k) = -k + 1. Let x be s(-2). Let h(v) be the third derivative of 1/9*v**4 + 0 - 2*v**2 + 1/90*v**5 + 0*v + 4/9*v**x. Factor h(j).
2*(j + 2)**2/3
Suppose -7*n + 4 = -17. Let f(h) be the second derivative of 0 - 1/4*h**n + 0*h**2 + 3*h - 1/8*h**4. Suppose f(q) = 0. Calculate q.
-1, 0
Let g(r) = -r**3 + 4*r**2 + 13*r + 6. Let y be g(6). Suppose 3*w + 0 = y. Let 5/3*z**3 - 4/3*z**5 - z**w - 1/3*z + 0 + z**2 = 0. What is z?
-1, 0, 1/4, 1
Let h be (2 + (-64)/35)/(27/45). Factor -h*u - 2/7*u**2 + 0.
-2*u*(u + 1)/7
Let c(g) be the third derivative of g**5/150 - 7*g**4/120 + g**3/10 - 2*g**2. Factor c(h).
(h - 3)*(2*h - 1)/5
Let w(x) = -100*x**2 - 114*x**2 - 17*x**2 - 20 + 81*x - 1. Let h(q) = -23*q**2 + 8*q - 2. Let t(f) = -21*h(f) + 2*w(f). Solve t(y) = 0 for y.
0, 2/7
Let j(m) be the first derivative of 1/3*m**2 - 1/6*m**4 - 1 + 0*m**3 + 0*m. Determine b, given that j(b) = 0.
-1, 0, 1
Let p(z) be the second derivative of -z**8/13440 - z**4/2 - 4*z. Let q(i) be the third derivative of p(i). Let q(h) = 0. What is h?
0
Let z be 35/20 - 3 - -2. Let q(y) be the first derivative of -z*y**4 + 0*y + 0*y**3 - 4 + 3/2*y**2. Factor q(t).
-3*t*(t - 1)*(t + 1)
Let f(s) be the second derivative of s**5/60 + s**4/24 - 2*s**2 - 10*s. Let g(t) be the first derivative of f(t). Determine b so that g(b) = 0.
-1, 0
Let k(y) be the second derivative of 5*y**7/14 - 6*y**6/5 +