 w(u) = 0.
4
Let x be ((-24)/28)/(-3)*(-21)/(-24). Factor -x*c**2 + 1/2*c**3 - 1/4*c**4 + 0 + 0*c.
-c**2*(c - 1)**2/4
Let k(m) be the second derivative of -9*m**5/80 - 7*m**4/16 + 11*m**3/4 + 3*m**2 - 10*m. Factor k(p).
-3*(p - 2)*(p + 4)*(3*p + 1)/4
Let v(k) be the first derivative of 1/3*k**2 - 3 + 0*k - 1/12*k**4 - 1/9*k**3. Factor v(b).
-b*(b - 1)*(b + 2)/3
Let z = -2/297 + 398/297. Solve 2/3*g**4 + 0 + 2/3*g**2 + 0*g + z*g**3 = 0.
-1, 0
Factor -2/5*z**4 - 4/5*z + 2*z**2 + 0 + 2/5*z**5 - 6/5*z**3.
2*z*(z - 1)**3*(z + 2)/5
Factor 146*t + 145*t + 5 + 5*t**2 - 301*t.
5*(t - 1)**2
Find r, given that 0*r + 0*r**2 + 2/5*r**3 + 0 = 0.
0
Let m(q) = 3*q**2 + 1. Let a be m(-1). Let o be 2 + -1 + 5 + -4. Factor -6*b**4 + 0*b**5 + 2*b**4 + 2*b**4 - o*b**5 - 2 + 4*b**3 - 2*b + a*b**2.
-2*(b - 1)**2*(b + 1)**3
Let a = -10 + 12. Let b be a/(-12) + (-184)/(-96). Suppose 0 + 1/4*h - 3/4*h**4 + b*h**3 - 5/4*h**2 = 0. What is h?
0, 1/3, 1
Let q(t) = t**4 + t**3 + t + 1. Let d(m) = -m**5 + 25*m - m**2 + 2*m**3 - 28*m - 1 + 0*m**5. Let o(i) = 2*d(i) + 2*q(i). Let o(s) = 0. Calculate s.
-1, 0, 1, 2
Let s(d) = -d**2 - d + 1. Let v(p) = 6*p - 13*p**2 - 3*p + 18*p - 5. Let g(y) = -3*s(y) + v(y). What is w in g(w) = 0?
2/5, 2
Let x(i) be the first derivative of -i**2/2 - 5*i - 1. Let m be x(-9). Solve 0 + 4/7*f**3 - 2/7*f**2 + 0*f - 2/7*f**m = 0.
0, 1
Let b be (-2)/(-7) - 165/(-35). Let x(g) be the first derivative of 4*g**2 + 22/3*g**3 - 3*g**4 - 18/5*g**b - 8*g - 1. Let x(v) = 0. What is v?
-1, 2/3
Let x = 604/3 + -201. Let -2*n + 3 + x*n**2 = 0. What is n?
3
Let h(v) = v + 1. Let r(m) = m + 5. Let l be r(-4). Suppose -4*g - 2 = z + 1, -5*g = 2*z. Let k(f) = 2*f**2 - 7*f - 5. Let b(p) = l*k(p) + z*h(p). Factor b(d).
2*d*(d - 1)
Find v such that 4/7*v**2 + 4/7*v + 0 = 0.
-1, 0
Let u = 9 + -4. Factor r**5 - 2*r**u + 2*r**5 - 2*r**3 + r**5.
2*r**3*(r - 1)*(r + 1)
Let l(w) be the third derivative of -w**7/7140 + w**5/340 - w**4/102 + w**3 - 2*w**2. Let s(f) be the first derivative of l(f). Let s(d) = 0. What is d?
-2, 1
Let o(d) be the third derivative of -d**8/168 + d**6/30 - d**4/12 - 6*d**2. Solve o(y) = 0 for y.
-1, 0, 1
Let r = 1 - -4. Suppose 5 = p + h - 2*h, -5*h + r = 0. What is z in -4*z**2 + 3*z**2 - 8*z**5 + 3*z**2 + p*z**3 = 0?
-1/2, 0, 1
Let z(f) = f**2 - 7*f + 1. Let r be z(7). Let 2*w + r - 2*w**3 - 1 + 0*w**3 = 0. Calculate w.
-1, 0, 1
Let g(s) = -25*s**2 - 3*s + 1. Let t be g(1). Let c be (-16)/(-9) - 6/t. Factor 0*u - 49/4*u**5 + 0 + 0*u**c - u**3 + 7*u**4.
-u**3*(7*u - 2)**2/4
Let g = 1595/7 - 227. Factor -g*k**2 + 0 + 2/7*k**3 + 4/7*k.
2*k*(k - 2)*(k - 1)/7
Let d(f) be the third derivative of -f**8/448 - f**7/56 - 7*f**6/160 - 3*f**5/80 - 10*f**2. Let d(w) = 0. What is w?
-3, -1, 0
Let b(l) = -3. Let d(w) = 2. Let q(a) = 3*b(a) + 5*d(a). Let c(t) = 48*t**4 + 120*t**3 + 99*t**2 + 30*t + 5. Let p(g) = c(g) - 2*q(g). Factor p(k).
3*(k + 1)**2*(4*k + 1)**2
Suppose 0 = -5*j + 2 + 13. Factor 0 + 8/11*z**j - 10/11*z**4 + 4/11*z**5 + 0*z - 2/11*z**2.
2*z**2*(z - 1)**2*(2*z - 1)/11
Let t be -1*2 + -12 + 14. Suppose -4*y = -m + 19 + 3, 2*m + 3*y + 11 = t. Factor 1/3*k**m + 2/3 + k.
(k + 1)*(k + 2)/3
Let b(h) be the first derivative of -3*h**5/20 - 3*h**4/8 + 3*h**2/4 + 3*h/4 + 7. Factor b(g).
-3*(g - 1)*(g + 1)**3/4
Let s = -41 + 47. Let t(h) be the second derivative of -h - 27/25*h**5 + 0*h**3 + 2/5*h**4 + 3/5*h**s + 0*h**2 + 0 - 1/10*h**7. Determine a so that t(a) = 0.
0, 2/7, 2
Let k(l) be the first derivative of -l**3/3 + l - 10. Determine n so that k(n) = 0.
-1, 1
Let s(c) be the third derivative of 0 + 1/24*c**3 - 1/240*c**5 + 0*c + 1/96*c**4 - 3*c**2 - 1/480*c**6. Solve s(h) = 0 for h.
-1, 1
Let q(p) be the first derivative of 3*p**6/10 - 3*p**5/5 + 3*p**4/20 + p**3/5 - 1. Factor q(j).
3*j**2*(j - 1)**2*(3*j + 1)/5
Let z(n) be the second derivative of -n**6/45 - n**5/8 - 2*n**4/9 - n**3/12 + n**2/6 + 39*n. Find v, given that z(v) = 0.
-2, -1, 1/4
Let m(s) be the second derivative of -s**4/12 + s**3/6 + 5*s. Factor m(c).
-c*(c - 1)
Suppose 4*k = 27 + 17. Let p(t) = -t**2 + 13*t - 20. Let o be p(k). Find d, given that 4/9*d**o + 0 - 8/9*d**4 + 2/9*d - 2/3*d**3 + 8/9*d**5 = 0.
-1/2, 0, 1
Let u(i) be the third derivative of 1/150*i**6 + 0 + 0*i + 1/75*i**5 - 1/60*i**4 - 1/525*i**7 - 4*i**2 - 1/15*i**3 - 1/840*i**8. Factor u(w).
-2*(w - 1)**2*(w + 1)**3/5
Let k(i) be the third derivative of -i**5/180 - i**4/9 - 8*i**3/9 + 3*i**2. Factor k(s).
-(s + 4)**2/3
Let i(m) be the third derivative of -1/4*m**4 + 1/60*m**6 + 2/3*m**3 + 0*m + 0*m**5 + 0 + 2*m**2. Factor i(d).
2*(d - 1)**2*(d + 2)
Let g(b) = 11*b**4 + 14*b**3 + 9*b**2 - 20*b - 20. Let f(l) = 65*l**4 + 85*l**3 + 55*l**2 - 120*l - 120. Let x(c) = 6*f(c) - 35*g(c). Solve x(n) = 0 for n.
-2, -1, 1
Let q(i) = i**2 - 3 + 0*i**2 + 4*i**3 - 3*i**3 - 3*i + 0*i**2. Let d(k) = k**2 + k. Let s(l) = -2*d(l) + q(l). Factor s(x).
(x - 3)*(x + 1)**2
Let f(b) = -2*b**3 - 7*b**2 + 2*b + 1. Let c(k) = 6*k**3 + 22*k**2 - 6*k - 2. Let g(p) = 6*c(p) + 20*f(p). Factor g(z).
-4*(z - 1)*(z + 1)*(z + 2)
Let b be (-3432)/(-168) - (1 - -8). Factor 60/7*k**4 - 100/7*k**3 - 2*k**5 + 4/7 + b*k**2 - 30/7*k.
-2*(k - 1)**4*(7*k - 2)/7
Let v = -55/2 + 28. Let n be (-64)/(-128) + (-2)/8. Let n*s**2 + v - 3/4*s = 0. What is s?
1, 2
Let o(r) be the third derivative of -r**9/3024 - r**8/1680 + r**7/840 + r**6/360 + r**3/3 - r**2. Let u(g) be the first derivative of o(g). Factor u(j).
-j**2*(j - 1)*(j + 1)**2
Suppose -6*l = -76 + 64. Factor l*j**4 - 2/3*j**2 + 0*j - 4/3*j**3 + 0.
2*j**2*(j - 1)*(3*j + 1)/3
Let q(c) be the second derivative of -c**8/16800 + c**7/1050 - c**6/150 + 2*c**5/75 - c**4/4 + 7*c. Let i(x) be the third derivative of q(x). Factor i(a).
-2*(a - 2)**3/5
Find z, given that 0 + 2/15*z**2 + 2/3*z = 0.
-5, 0
Let i = 18 + -13. Let b(n) be the third derivative of -3*n**2 - 1/4*n**4 + 0*n + 7/40*n**6 + 1/4*n**i + 0*n**3 + 0. Factor b(q).
3*q*(q + 1)*(7*q - 2)
Let g(a) be the second derivative of a**5/100 + a**4/20 + a**3/10 + 9*a**2/2 + 2*a. Let n(c) be the first derivative of g(c). Let n(v) = 0. Calculate v.
-1
Let c be (-84)/30 + 8 - (-8)/10. Let h(u) be the first derivative of 1/2*u**4 + 1/3*u**c - 4*u**2 + 8/5*u**5 + 3 + 16*u - 20/3*u**3. Factor h(l).
2*(l - 1)**2*(l + 2)**3
Let r = -191/21 - -73/7. Factor q**4 + 5/3*q**3 - r*q - 4/3*q**2 + 0.
q*(q - 1)*(q + 2)*(3*q + 2)/3
Let i be 2*15/(-12)*2. Let b be (8 + 2)*(-2)/i. Factor -10*r**2 + 2*r + 14*r**2 - 2*r**5 - r**4 - 3*r**b.
-2*r*(r - 1)*(r + 1)**3
Factor 6*l**2 + 3/2*l**4 + 0 - 2*l - 11/2*l**3.
l*(l - 2)*(l - 1)*(3*l - 2)/2
Let y be (28/(-10))/(8/160). Let h be (-62)/y - 5/20. Let -h*r + 6/7*r**2 + 2/7 - 2/7*r**3 = 0. Calculate r.
1
Factor 4*u**2 + 15*u - 30 - 10*u + u**2.
5*(u - 2)*(u + 3)
Let q be (2/36)/(2/32). Let v be (23/(-5) - -5)*(-5)/(-9). Factor v*a**2 - 8/9*a + q.
2*(a - 2)**2/9
Factor -19*x**4 + 10*x**4 - x + 5*x**4 - 5*x**2 + 2*x + 8*x**3.
-x*(x - 1)*(2*x - 1)**2
Let a(d) be the third derivative of -d**6/30 - d**5/20 + 3*d**4/8 - d**3/3 - 5*d**2. Factor a(f).
-(f - 1)*(f + 2)*(4*f - 1)
Factor 6*k**3 - 33*k**3 - 3*k + 18*k**2 + 12*k**4 + 0*k.
3*k*(k - 1)**2*(4*k - 1)
Factor 0 + 3/5*w - 3/5*w**4 - 3/5*w**3 + 3/5*w**2.
-3*w*(w - 1)*(w + 1)**2/5
Let l(t) = t**3 + t**2 - t + 1. Let i(u) = 15*u**3 + 6*u**2 - 9*u + 12. Let a(s) = -i(s) + 12*l(s). Factor a(d).
-3*d*(d - 1)**2
Let o be 2 - ((-604)/300 - -4). Let z(i) be the second derivative of -i - 1/15*i**3 - o*i**6 + 0 + 0*i**2 + 1/50*i**5 + 1/30*i**4. Factor z(y).
-2*y*(y - 1)**2*(y + 1)/5
Let l(u) = u**3 + 5. Let g = -1 - -1. Let h be l(g). What is x in 0 + 4/3*x**h + 0*x + 1/3*x**2 + 0*x**4 - x**3 = 0?
-1, 0, 1/2
Let z be (-24)/(-9) - -1 - 4/6. Determine u so that 4/9*u**2 + 2/9*u**z - 4/9 - 2/9*u = 0.
-2, -1, 1
Let g(l) = -l**3 - 5*l**2 + 7*l + 9. Let z be (0 - 3) + -1 + -2. Let m be g(z). Solve 4/5*k**2 + 0 - 2/5*k**m - 2/5*k = 0 for k.
0, 1
Let g be (-4)/(3 - -1)*-5. Let n(v) be the second derivative of -2*v - 1/3*v**3 + 0*v**2 + 0 - 1/4*v**g - 7/12*v**4. Factor n(z).
-z*(z + 1)*(5*z + 2)
Let k(j) be the second derivative of j**5/50 - j**4/30 - j**3/15 + j**2/5 - 9*j. Determine b, given that k(b) = 0.
-1, 1
Let 3 + 10*h + 9*h**2 + 0 + 3*h**3 - h = 0. What is h?
-1
Let o(r) = r**2 + 8*r - 9. Let t be o