0, 69
Suppose l - 29*h = -26*h - 9, 0 = -2*l - 5*h + 26. Factor -1/4*u + 1/4*u**2 + 1/4*u**l - 1/4.
(u - 1)*(u + 1)**2/4
Factor 12 - 2 + 5 - 67*b**2 + 1 + 47*b**3 - 43*b**3 + 47*b.
(b - 16)*(b - 1)*(4*b + 1)
Let d = -41368 + 372313/9. Let 0 - d*g**2 - 4/9*g = 0. Calculate g.
-4, 0
Let l(d) be the second derivative of 2/25*d**5 + 2/5*d**4 + 16/15*d**3 + 4*d + 7/2*d**2 + 0 + 1/150*d**6. Let f(t) be the first derivative of l(t). Factor f(j).
4*(j + 2)**3/5
Let y(d) = -3*d**3 + 17*d**2 - 37*d + 15. Let p(v) = v**2 - 1. Let c(k) = 5*p(k) + y(k). Let c(j) = 0. Calculate j.
1/3, 2, 5
Let r(v) be the third derivative of v**8/3024 + 11*v**7/945 + 59*v**6/360 + 154*v**5/135 + 98*v**4/27 + 758*v**2. Factor r(o).
o*(o + 4)**2*(o + 7)**2/9
Factor -150*d**3 - 138*d**2 + 42*d**4 - 42*d**2 + 83*d**4 - 40*d.
5*d*(d - 2)*(5*d + 2)**2
Let a = -1/55 - -133/55. Let d(k) be the first derivative of -33/4*k**4 - 5*k**3 - 1 + 0*k + 3*k**2 - a*k**5. Factor d(u).
-3*u*(u + 1)*(u + 2)*(4*u - 1)
Suppose 2*x - 15 = s, 0 = s + s + x + 30. Let y(n) = n**2 + 14*n - 12. Let f be y(s). Factor 20 - 2*l + f*l**2 - 3*l - l**4 + l**3 - 18.
-(l - 1)**3*(l + 2)
Let y(p) be the third derivative of -1/70*p**5 + 0*p - 9*p**2 + 0 - 1/28*p**4 - 1/21*p**3 - 1/420*p**6. Factor y(c).
-2*(c + 1)**3/7
Let n(u) = -40*u**4 + 1 - 120*u**2 + 110*u**3 + 10 + 46*u - 15*u**5 - u + 9. Let a(d) = d**5 - 1. Let h(o) = 20*a(o) + n(o). Factor h(c).
5*c*(c - 3)**2*(c - 1)**2
Let m be (1/(-9))/((96/9)/(-32)). Factor -3 - m*w**2 - 2*w.
-(w + 3)**2/3
Suppose 3*l - 15 = -2*l. Find i such that -4 - 3*i + 4 + 0*i**3 + 6*i**2 - l*i**3 = 0.
0, 1
Factor 3/7 - 2/7*n**2 - 5/7*n.
-(n + 3)*(2*n - 1)/7
Let b be (10*30/(-4750))/(12/(-20)). Suppose 0 - b*g**2 + 2/19*g = 0. Calculate g.
0, 1
Let t = -408 - -410. Let f be (-4)/6 - (-112)/6. Factor 114*a**3 + t*a**5 + f*a + a**4 + 11*a**4 + 4 + 32*a**2 - 86*a**3.
2*(a + 1)**4*(a + 2)
Let j be 24/2 + 0 - 0/(-23). Find f, given that j*f + 0*f + 1020 - 1030 - 2*f**2 = 0.
1, 5
Factor 27/7*q**2 - 324/7 + 3/7*q**3 + 0*q.
3*(q - 3)*(q + 6)**2/7
Factor -51*n**4 - 69*n**4 + 7*n**3 - 27*n**3 + 218*n**5 - 153*n**5.
5*n**3*(n - 2)*(13*n + 2)
Suppose 19*t - 14*t = -10. Let x be t + 0 + (57/(-15) - -6). Solve -1/5*f**5 + 1/5*f**4 - 2/5*f**2 + 1/5 - x*f + 2/5*f**3 = 0 for f.
-1, 1
Let t(h) be the third derivative of -h**6/900 - 11*h**5/225 - 7*h**4/60 + 22*h**2 - 1. Determine w so that t(w) = 0.
-21, -1, 0
Let z be 50/(-18) + (-2)/9. Let r(u) = u**3 + 2*u**2 - 3*u + 2. Let y be r(z). Factor 0 + 1/3*p + 1/3*p**y.
p*(p + 1)/3
Let z(o) = o**3 + 12*o**2 - 14*o + 7. Let p(r) = 1. Let k(u) = -5*p(u) + z(u). Let l be k(-13). Suppose 15*a - l*a + 4*a**4 - 8*a**4 - 4*a**3 = 0. What is a?
-1, 0
Let s(t) be the second derivative of t**7/21 + t**6/15 - 3*t**5/5 - 2*t**4/3 + 8*t**3/3 - 2*t + 129. Factor s(r).
2*r*(r - 2)*(r - 1)*(r + 2)**2
Let -151*l - 4*l**2 - 1655 - 5293 + l**2 - 173*l - 1800 = 0. Calculate l.
-54
Let b(p) be the first derivative of -4/15*p**5 + 14/9*p**4 - 13 - 20/3*p**2 - 16/27*p**3 - 4*p. Suppose b(y) = 0. What is y?
-1, -1/3, 3
Let s be 5*(-46)/450*-6. Let t = s + -8/3. Let -t*v**2 + 1/5*v**3 - 1/5*v + 2/5 = 0. What is v?
-1, 1, 2
Let h(g) be the first derivative of 5*g**3 - 132*g**2 - 108*g + 56. Suppose h(s) = 0. What is s?
-2/5, 18
Let o(y) be the first derivative of -3/2*y**3 - 8*y + 5 + 3*y**2 + 1/4*y**4. Let m(q) be the first derivative of o(q). Let m(u) = 0. What is u?
1, 2
Suppose 43 = 5*z - 32. Factor -q - 6*q**2 + 15 + 0*q - 19 + z*q.
-2*(q - 2)*(3*q - 1)
Let g(d) be the first derivative of d**4/2 + 10*d**3/3 + 7*d**2 + 6*d + 69. Factor g(o).
2*(o + 1)**2*(o + 3)
Determine s, given that 17*s**4 - 181*s**5 - 8*s + 367*s**5 + 30*s**3 + 12*s**2 - 183*s**5 = 0.
-2, 0, 1/3
Let t(c) = c**4 + 2*c**3 - 1. Let h(b) = 4*b**4 + 42*b**3 - 96*b**2 - 128*b - 6. Let f(s) = -h(s) + 6*t(s). Suppose f(k) = 0. What is k?
-1, 0, 8
Let r(a) be the first derivative of 49/30*a**6 + 8/3*a**4 - 2/3*a**3 + 0*a**2 - 77/20*a**5 + 5 + a. Let x(g) be the first derivative of r(g). Factor x(z).
z*(z - 1)*(7*z - 2)**2
Factor 447/2*y + 225/2 + 219/2*y**2 - 3/2*y**3.
-3*(y - 75)*(y + 1)**2/2
Let u(d) be the first derivative of -14 + 2/25*d**5 - 1/5*d**2 + 2/5*d**3 - 3/10*d**4 + 0*d. Solve u(p) = 0.
0, 1
Find q, given that 0*q - 3/4*q**2 + 3/4*q**4 + 0*q**3 + 0 = 0.
-1, 0, 1
Let b(t) be the second derivative of -3/70*t**5 + 0 + 0*t**2 + 1/70*t**6 + 1/7*t**3 + 4*t - 1/28*t**4. What is a in b(a) = 0?
-1, 0, 1, 2
Suppose -k = k - 32. Let g(y) = -y + 19. Let s be g(k). Let -2/5 - 2*c - 2/5*c**5 - 4*c**s - 2*c**4 - 4*c**2 = 0. What is c?
-1
Let f be ((-6)/(-8))/(2 - 1/2). Let x = 717/2 + -358. Factor f*v + x - 1/2*v**3 - 1/2*v**2.
-(v - 1)*(v + 1)**2/2
Let y(t) = 18*t**5 + 45*t**4 + 54*t**3 + 9*t**2 - 6*t. Let r(i) = -i**5 - i**3. Let z be 1/(-5) - (-31)/5. Let g(d) = z*r(d) + y(d). Solve g(h) = 0 for h.
-2, -1, 0, 1/4
Let f(y) = -110*y - 110. Let h be f(-1). Suppose h + 0*z**2 + 2/3*z**3 - 2/3*z = 0. What is z?
-1, 0, 1
Let k(a) = 6*a**3 - a**2 - a + 1. Let s be k(1). Let z = 14446 - 14446. What is d in 1/8*d**4 + 0*d + 0*d**3 + 1/2*d**s + z + 0*d**2 = 0?
-1/4, 0
Let t(y) be the first derivative of -5*y**6/6 + 2*y**5 + 5*y**4/2 - 40*y**3/3 + 35*y**2/2 - 10*y + 3. Solve t(o) = 0 for o.
-2, 1
Let h = 149314/9 - 16586. Factor 4/9*f**2 + 4 - h*f.
4*(f - 9)*(f - 1)/9
Factor 1/4*c**2 - 1/2*c - 3/4.
(c - 3)*(c + 1)/4
Let z(o) = -14*o**2 - 61*o - 36. Let n(f) = 5*f**2 - 7*f**2 - 12*f - 2 - f**2 - 5. Let j(a) = -11*n(a) + 2*z(a). Solve j(r) = 0 for r.
-1
Let i(t) be the third derivative of -t**8/40320 - t**7/10080 + t**5/4 + 5*t**2. Let r(a) be the third derivative of i(a). Find p such that r(p) = 0.
-1, 0
Let c(p) be the third derivative of p**8/5040 - p**7/1260 - p**5/10 - 2*p**2. Let a(y) be the third derivative of c(y). Solve a(d) = 0 for d.
0, 1
Suppose 4*x + x = -4*m + 142, 3*x + 4*m - 90 = 0. Suppose -x = -5*b + 4. Let -b*d**5 + 2*d**3 - d + 4*d**2 - 8*d**4 - 2*d + 3*d = 0. Calculate d.
-1, 0, 2/3
Let 0*r**4 - 4*r**4 - 28*r**3 + 16*r - 48*r**2 + 71 - 7 = 0. What is r?
-4, -2, 1
Let n = 7/181 - -953/3439. Solve n - 8/19*m**2 + 22/19*m = 0.
-1/4, 3
Let s(p) = -5*p + 29. Let f be s(-7). Let b be 3/(-12)*-2*4. Solve -60*y**4 + y**3 + f*y**3 + 20*y - 76*y**b + 176*y**2 = 0 for y.
-2/3, -1/4, 0, 2
Let d be (1155/12)/(-11) + (-50 - -59). Factor -d*q**3 + 1/2*q**2 + 0 - 1/2*q**4 + 1/4*q**5 + 0*q.
q**2*(q - 2)*(q - 1)*(q + 1)/4
Let q(y) be the second derivative of y**4/12 - 4*y**3/3 - 24*y**2 + 2*y - 29. Factor q(t).
(t - 12)*(t + 4)
Suppose 2*d - 10 = -3*d. Factor -8*t**2 - 4*t - 8*t**d + 4*t**3 + 4 + 12*t**2.
4*(t - 1)**2*(t + 1)
Suppose 3*g - 36*g + 70 = -19*g. Find r, given that -3/2*r**g + 9/2*r**4 - 9/2*r**2 + 3*r + 0 - 3/2*r**3 = 0.
-1, 0, 1, 2
Let s(z) = 8*z**2 - 38*z - 7. Let u be s(5). Let g be (8/u - -3) + -5. Factor 1/3*y**4 - g*y + 0 + 1/2*y**3 - 1/6*y**5 - 2/3*y**2.
-y*(y - 2)**2*(y + 1)**2/6
Factor 28/13*a + 0 - 2/13*a**4 + 24/13*a**3 + 54/13*a**2.
-2*a*(a - 14)*(a + 1)**2/13
Factor -4/3*n**3 + 1/3 + 1/3*n**4 - 4/3*n + 2*n**2.
(n - 1)**4/3
Suppose 0 = -4*v - 4*b + 36, 2*v - 25*b = -22*b + 3. Suppose 10*f + 6 = v. Factor f + 0*h - 1/3*h**2.
-h**2/3
Let p be ((-165)/77)/(215/(-344)). Solve 16/7 + 9/7*t**3 - 44/7*t + p*t**2 = 0.
-4, 2/3
Let g = -12907/14 - -922. Let d(b) be the third derivative of -g*b**3 + 3/14*b**4 - 9/35*b**5 + 0 + 10*b**2 + 0*b. Factor d(l).
-3*(6*l - 1)**2/7
Determine o so that -8/5*o**2 - 18/5 - 6*o = 0.
-3, -3/4
Let p(m) = -2*m**2 - m. Let a(i) = 22*i**2 + 74*i + 512. Let g(s) = 2*a(s) + 20*p(s). Find r, given that g(r) = 0.
-16
Let a = -5417/6 - -5425/6. Determine r, given that -a + 2/9*r**2 - 2/9*r = 0.
-2, 3
Factor -10*h**4 + 25*h**5 - 10*h**5 - 14*h**5.
h**4*(h - 10)
Let x(y) be the second derivative of 5*y**4/12 + 85*y**3/6 - 45*y**2 + y + 131. Solve x(h) = 0 for h.
-18, 1
Let n(q) be the second derivative of q**5/4 + 115*q**4/12 + 140*q**3 + 990*q**2 - 38*q + 9. Factor n(k).
5*(k + 6)**2*(k + 11)
Suppose 5*c - 13 = 32. Factor -c*j + 6 - 19 - 57*j**2 - 17 + 60*j**2.
3*(j - 5)*(j + 2)
Solve 2/17*u**3 - 76/17*u**2 - 16 + 280/17*u = 0.
2, 34
Let p(h) be the first derivative of -h**4/16 - h**3/6 + 5*h**2/8 + 3*h/2 - 14. Determine c, given that p(c) = 0.
-3, -1, 2
Suppose -3*h = 