 + 0 = 0.
-1, 0, 1
Let h be 140/12 + 2/6. Solve -h*o**4 - 3*o**5 + 14*o**4 - 8*o**4 + 6*o**5 = 0.
0, 2
Let l(y) = 0 - 18*y + 8 - 8 - 2. Let j be l(-1). Determine a so that -16*a + 4*a**3 + 24*a**2 - j - 4*a**2 + 8*a**3 = 0.
-2, -2/3, 1
Let d(y) be the third derivative of 1/504*y**8 + 0*y - 1/9*y**4 + 0*y**3 - 1/315*y**7 + 7*y**2 - 1/20*y**6 + 0 - 11/90*y**5. Find i such that d(i) = 0.
-1, 0, 4
Let y(l) be the first derivative of 5/2*l**2 + 0*l + 0*l**3 - 8 + 0*l**5 + 5/6*l**6 - 5/2*l**4. Factor y(c).
5*c*(c - 1)**2*(c + 1)**2
Let r(t) be the second derivative of t**7/21 - 2*t**6/15 - 3*t**5/10 + 2*t**4/3 + 4*t**3/3 + 21*t - 1. Determine a so that r(a) = 0.
-1, 0, 2
Let o(u) be the second derivative of -u**4/6 - 13*u**3 - 74*u**2 - 945*u. Determine g, given that o(g) = 0.
-37, -2
Let n(j) be the third derivative of -j**7/315 + j**6/90 + 284*j**2. Determine x, given that n(x) = 0.
0, 2
Let n(y) be the first derivative of -52*y**5/5 + 76*y**4 - 192*y**3 + 160*y**2 + 64*y + 31. Factor n(g).
-4*(g - 2)**3*(13*g + 2)
Let w(c) be the first derivative of 7 + 1/24*c**4 + 0*c + 0*c**2 - 4/3*c**3 + 1/360*c**6 + 1/60*c**5. Let y(o) be the third derivative of w(o). Factor y(n).
(n + 1)**2
Let g(w) be the first derivative of -w**3/9 + 7*w**2/6 + 8*w/3 + 42. Suppose g(r) = 0. Calculate r.
-1, 8
Let v = -63 - -65. Determine k so that -3*k**3 - 16*k - 14*k**2 - 8*k**3 - v*k**2 + 7*k**3 = 0.
-2, 0
Let s = 12 - 10. Suppose 3*k**5 - s*k**5 - 2*k**5 = 0. What is k?
0
Let g = -28 - 148. Let b = g + 1236/7. Suppose a**2 + b + 16/7*a = 0. Calculate a.
-2, -2/7
Let y be (16 - (-164)/(-8))/((-3)/2). Factor -1/2 + 2*h**y - 3*h**2 + 2*h - 1/2*h**4.
-(h - 1)**4/2
Let m(p) be the third derivative of 4/7*p**4 + 3/245*p**7 + 16/21*p**3 + 0 + 0*p + 15*p**2 - 4/21*p**5 - 2/5*p**6 + 45/392*p**8. Determine r so that m(r) = 0.
-2/3, -2/5, 2/3, 1
Suppose -2*o + 5*k + 13 = 0, -4*o - 14 = 3*k - 27. Factor 4/3*j**3 + 0*j - 4/3*j**o + 4/9*j**5 + 0 - 4/9*j**2.
4*j**2*(j - 1)**3/9
Let -498/7*h + 492/7 + 6/7*h**2 = 0. Calculate h.
1, 82
Let o = 7752 + -7750. Suppose -4/5*z**o + 2/5*z**3 + 0 - 6/5*z = 0. What is z?
-1, 0, 3
Let u be (-119)/(-153) - (5 + -6). Find g such that 20/9*g**3 + u*g - 52/9*g**2 + 16/9 = 0.
-2/5, 1, 2
Let -45*l + 0 + 3/2*l**2 + 63*l**3 - 9*l**5 + 15/2*l**4 = 0. What is l?
-2, -1, 0, 5/6, 3
Factor 0*p + 0 + 21/2*p**4 + 45*p**3 + 3/4*p**5 + 54*p**2.
3*p**2*(p + 2)*(p + 6)**2/4
Let o be (-1)/(21/14 + -2). Suppose 2*j = -2*m + 12, -9 = 3*j - 4*j - 2*m. Factor -26 - j*a**3 + 3*a + 26 - 6*a**o + 6*a**4.
3*a*(a - 1)*(a + 1)*(2*a - 1)
Let k(a) be the third derivative of -8*a**7/945 - a**6/135 + a**5/36 + a**4/27 + a**3/54 + 22*a**2 - 2. Suppose k(z) = 0. Calculate z.
-1, -1/4, 1
Let b(m) = -11*m**4 - 8*m**3 + 3*m**2 + 4*m + 4. Let p(h) = 14*h**4 + 9*h**3 - 4*h**2 - 4*h - 5. Let c(w) = 5*b(w) + 4*p(w). What is r in c(r) = 0?
-1, 0, 1, 4
Let r(s) be the first derivative of -s**4/2 + 4*s**3/3 + 11*s**2 - 24*s - 7. Factor r(o).
-2*(o - 4)*(o - 1)*(o + 3)
Let q(r) be the second derivative of -1/6*r**4 - 21*r + 0*r**2 - 8/3*r**3 + 0. Factor q(b).
-2*b*(b + 8)
Let a(d) be the second derivative of -d**6/10 - 9*d**5/2 + 31*d**4/4 - 9*d + 10. Solve a(f) = 0 for f.
-31, 0, 1
What is f in 14 - 5*f**3 - 25*f**2 + 5*f**4 + 8*f - 10*f**3 + 1 + 5 + 7*f = 0?
-1, 1, 4
Suppose -4*c - 27 = -3*u, 0 = 2*u + c - 14 - 4. Let y(j) be the first derivative of 1/2*j**4 - u + 0*j**2 + 2/5*j**5 + 0*j**3 + 0*j. Solve y(q) = 0 for q.
-1, 0
Let c(j) be the first derivative of 16*j + 5 + 4/3*j**3 - 10*j**2. Factor c(x).
4*(x - 4)*(x - 1)
Let l(w) be the first derivative of 2*w**3/9 - 13*w**2 - 164*w/3 + 1. Factor l(u).
2*(u - 41)*(u + 2)/3
Let n(m) be the third derivative of 0*m**3 - 1/1512*m**8 + 1/270*m**5 + 0 + 0*m**4 + 0*m + 1/540*m**6 - 2*m**2 - 1/945*m**7. Determine l so that n(l) = 0.
-1, 0, 1
Factor 8*r**2 - 294*r**2 + 7*r**4 - 60*r**3 + 22 + 79*r**2 + 78*r**2 - 35*r - 5*r**3.
(r - 11)*(r + 1)**2*(7*r - 2)
Let p(l) be the first derivative of -l**6/10 + 18*l**5/25 + 51*l**4/10 + 56*l**3/5 + 117*l**2/10 + 6*l + 388. Factor p(t).
-3*(t - 10)*(t + 1)**4/5
Suppose -73*q = -76*q - 768. Let o = 1029/4 + q. Factor 0 + 0*j + 1/2*j**3 - 7/4*j**5 - o*j**4 + 0*j**2.
-j**3*(j + 1)*(7*j - 2)/4
Let u = 4208/9933 - -7/1419. Factor -u*g**3 + 0*g + 9/7*g**2 - 12/7.
-3*(g - 2)**2*(g + 1)/7
Let l(x) be the first derivative of 16/3*x**2 + 44/3*x**5 - 7 + 16/3*x - 50/9*x**6 - 19/3*x**4 - 92/9*x**3. Find y such that l(y) = 0.
-2/5, 1
Let s(h) be the second derivative of 9*h**7/70 + 7*h**6/25 + 3*h**5/100 - h**4/5 + 247*h. Factor s(u).
3*u**2*(u + 1)**2*(9*u - 4)/5
Let x = -45514/5 - -9106. Suppose 2*a**2 - x*a - 8/5 = 0. Calculate a.
-2/5, 2
Let a = -1201 - -1204. Factor 3/4*d**2 - 3*d + a.
3*(d - 2)**2/4
Factor -1/8*l**2 - 2*l + 0.
-l*(l + 16)/8
Suppose 0 = 5*v, 0 = -a + v + 2*v - 10. Let z be 10/a + (-3)/(-1). Suppose z*w**3 + 6*w**2 + 7*w**2 - 11*w**2 = 0. Calculate w.
-1, 0
Let q(c) = c**2 - 2*c - 2. Let x(r) = -r**2 + r + 6. Let z(s) = 4*q(s) + 2*x(s). Factor z(g).
2*(g - 2)*(g - 1)
Suppose 584*h + 170 = 601*h. Let c(d) be the first derivative of -3/2*d**4 + 1/2*d**6 + 6*d + 8*d**3 + h - 6/5*d**5 - 21/2*d**2. Factor c(g).
3*(g - 1)**4*(g + 2)
Let i be 1*(0 - 0)/(-2) - 2976/(-11904). Factor -1/4*f**2 + 0 - i*f.
-f*(f + 1)/4
Let s(m) be the third derivative of -11/6*m**4 + 7/60*m**6 + 0 - 23/30*m**5 + 0*m + 8/3*m**3 - 12*m**2. Solve s(f) = 0 for f.
-1, 2/7, 4
Let n be ((-190)/1710)/((-2)/4). Factor -n*j**5 + 2/9*j**3 + 2/9*j**4 - 2/9*j**2 + 0*j + 0.
-2*j**2*(j - 1)**2*(j + 1)/9
Let f(t) = -8*t**2 - 36*t - 81. Let x(w) = -9*w**2 - 36*w - 78. Let m(g) = 6*f(g) - 5*x(g). Factor m(h).
-3*(h + 4)*(h + 8)
Let d(v) be the first derivative of -81*v**6/280 - 9*v**5/35 - v**4/14 + 23*v**2/2 + 16. Let c(b) be the second derivative of d(b). Find l, given that c(l) = 0.
-2/9, 0
Determine q so that 12*q**2 + 5562*q - 2695*q - 272 - 2467*q - 136*q**3 - 4*q**4 = 0.
-34, -2, 1
Solve -39*d + 507/2 + 3/2*d**2 = 0.
13
Let j(h) = 3*h**2 - 4*h - 5. Let c be j(-1). Find p, given that -4*p**3 + 40*p**5 - 8*p**c - 39*p**5 - p**4 + 3*p**4 = 0.
-2, 0, 2
Let b(i) be the first derivative of -i**7/5460 - i**6/585 - i**5/260 + 16*i**3/3 - 4. Let s(a) be the third derivative of b(a). Suppose s(t) = 0. What is t?
-3, -1, 0
Let t be (8 - 416/28) + -4*(5 + -7). Determine k, given that -t*k**3 + 4/7 - 18/7*k + 24/7*k**2 = 0.
1/2, 2
Let s = -10697/4 + 2675. Factor 3/2*g**3 + 0 - s*g**4 + 0*g + 0*g**2.
-3*g**3*(g - 2)/4
Let d(q) be the first derivative of -2*q**3/3 - 10*q**2 - 48*q - 19. Factor d(z).
-2*(z + 4)*(z + 6)
Suppose -2*s + 46 = -2*y, 5*s - s - 71 = -3*y. Suppose -4*r = s, -2*p = -0*p + 5*r + 9. Factor 16/3 - 2/3*o**3 - p*o + 4*o**2.
-2*(o - 2)**3/3
Let t(f) be the second derivative of 7*f**4/3 + 10*f**3 + f + 105. What is z in t(z) = 0?
-15/7, 0
Let p be (396/16)/((-6)/(-16)). Factor 6*r - 7*r**3 - 21 + 5*r**4 + p - 13*r**3 + 54*r - 10*r**2.
5*(r - 3)**2*(r + 1)**2
Let w(h) = 2*h + 51. Let o be w(-13). Factor 150*m + 5*m**3 - 44*m + o*m**2 - 76*m.
5*m*(m + 2)*(m + 3)
Let w(m) be the second derivative of m**6/15 - 7*m**5/10 - 3*m**4/2 + 7*m**3/3 + 8*m**2 - 9*m + 40. Factor w(f).
2*(f - 8)*(f - 1)*(f + 1)**2
Let a = 2163/2 - 389339/360. Let q(r) be the third derivative of -1/180*r**5 + 0*r + 0 + a*r**6 + 0*r**4 + r**2 + 0*r**3. Factor q(w).
w**2*(w - 1)/3
Let d(n) = n - 12. Let b be d(14). Let q be 4/14*(4 + 3). Suppose q*o**2 - b*o**2 + 2*o**2 = 0. Calculate o.
0
Suppose 6*b - 52 = 470. Let w = b + -87. Find x such that 0 + 2/21*x**3 + 8/21*x**5 + 0*x**2 + 10/21*x**4 + w*x = 0.
-1, -1/4, 0
Let g(t) be the first derivative of t**7/21 - t**5/5 + t**3/3 - 20*t - 12. Let w(m) be the first derivative of g(m). Solve w(h) = 0 for h.
-1, 0, 1
Let w(o) = -o**3 + 7*o**2 - o - 27. Let j be w(6). Let n(s) be the first derivative of -8/9*s - 4/9*s**2 - 2 - 2/27*s**j. Let n(l) = 0. What is l?
-2
Suppose 45*z + 19*z - 470 = -30*z. Let -1/4*i**2 + 0 + 5/4*i**3 - 7/4*i**4 + 0*i + 3/4*i**z = 0. What is i?
0, 1/3, 1
Solve 0 + 2/9*a**2 - 20/3*a = 0.
0, 30
Let t(l) = -l**5 - l**4 - l**3 + l + 1. Let x(k) = k + 20. Let i be x(-21). Let s(v) = 15*v**4 + 5*v**3 - 10*v**2 - 5. Let q(z) = i*s(z) - 5*t(z). Factor q(y).
5*y*(y - 1)**3*(y + 1)
Let z = -1/2 + 2/3. Let j