- 40*h**4 + 56 + 85*h + 39*h**2 - 17*h**2 - 12*h**2 - 80*h**3 - 6 - 5*h**5 = 0.
-5, -2, -1, 1
Let k(f) = -2*f. Let p be k(-6). Let b = p + -9. Factor 3*o**4 - 5*o**4 + 0*o**3 - 2*o**b.
-2*o**3*(o + 1)
Let t = -61 + 63. Factor 0*b + 26 - 18 + t*b**2 - 8*b.
2*(b - 2)**2
Factor 1/4*b**4 + 0*b + 0*b**2 - 1/4*b**3 + 0.
b**3*(b - 1)/4
Let w(j) be the third derivative of 5*j**8/336 + 4*j**7/21 + 2*j**6/3 + 231*j**2. Solve w(b) = 0.
-4, 0
Suppose 5*d = -2*f - 16, 3*d + 2 = -5*f - 0*d. Factor 2*o**f - 2 - 2*o - 6*o + 8*o.
2*(o - 1)*(o + 1)
Let n(q) = q**3 - 7*q**2 - 9*q + 11. Let b be n(8). Factor -1432 + 15*t**3 - 8*t**2 - b*t**3 + 1432 - 4*t**4.
-4*t**2*(t - 2)*(t - 1)
Let 7/9*r**3 + 4/9*r**5 + r + 13/3*r**2 - 19/9*r**4 + 0 = 0. What is r?
-1, -1/4, 0, 3
Suppose -5*y + 696 = -y. Let n = y - 172. Determine a so that -2/11*a**5 - 2/11*a**4 + 2/11*a**3 + 0 + 2/11*a**n + 0*a = 0.
-1, 0, 1
Let u(q) be the second derivative of q**5/120 + q**4/12 + 9*q**2 - q. Let w(r) be the first derivative of u(r). Solve w(h) = 0.
-4, 0
Let k = -41/10 - -64/15. Let n(h) be the first derivative of 7/16*h**4 + 0*h**2 + 8 + 0*h + k*h**3. Factor n(m).
m**2*(7*m + 2)/4
Let m(d) be the third derivative of 22*d**2 - 17/1200*d**6 + 0*d + 1/100*d**5 + 1/420*d**7 + 0*d**4 + 0 + 0*d**3. Solve m(u) = 0 for u.
0, 2/5, 3
Let v = 27 - 33. Let h be (-12)/(2 + v) + -3. Suppose -3/2*a + 3/2*a**2 + 3/2*a**3 - 3/2*a**4 + h = 0. What is a?
-1, 0, 1
Let j be 908/(-13) + (-9)/((-351)/(-6)). Let a = -277/4 - j. Factor 0*i - 3/4*i**2 + a.
-3*(i - 1)*(i + 1)/4
Let i(j) be the first derivative of -j**4/6 - j**3 + 10*j**2 + 3*j - 14. Let k(y) be the first derivative of i(y). Factor k(f).
-2*(f - 2)*(f + 5)
Suppose -2*c - 66 = -2*z, 4*z + 2*c = -z + 186. Let l be 18/z*(12 - 1). Determine n so that -2 - 6*n - 3/2*n**3 - l*n**2 = 0.
-2, -1, -2/3
Let s(z) be the second derivative of -1/90*z**4 - 1/150*z**5 + 0 - 10*z + 0*z**2 + 2/45*z**3. Factor s(k).
-2*k*(k - 1)*(k + 2)/15
Determine g, given that 4*g**4 + 7/2*g**3 + 0 + 0*g**2 + 1/2*g**5 + 0*g = 0.
-7, -1, 0
Let k(b) be the second derivative of -7/39*b**3 + 4*b + 3/13*b**2 - 1/130*b**5 + 5/78*b**4 + 0. Solve k(z) = 0.
1, 3
Let c = -19342 + 19346. Factor 7/5*a**3 + 9/5*a + 0 + 1/5*a**c + 3*a**2.
a*(a + 1)*(a + 3)**2/5
Let j(u) be the second derivative of -u**6/105 + u**5/10 - u**4/3 + 8*u**3/21 + u + 96. Factor j(o).
-2*o*(o - 4)*(o - 2)*(o - 1)/7
Let c(o) be the third derivative of 81*o**8/224 - 9*o**7/28 - 2*o**6/5 - o**5/10 + 189*o**2. Factor c(h).
3*h**2*(h - 1)*(9*h + 2)**2/2
Let s be ((-3)/(-15))/((-32)/20)*96/(-72). What is z in 0 + 1/6*z - 1/6*z**2 + 1/6*z**4 - s*z**3 = 0?
-1, 0, 1
Let c(f) be the second derivative of 0*f**2 - 1/18*f**4 + 2/27*f**3 + 1/90*f**5 + 0 + 16*f. Let c(a) = 0. What is a?
0, 1, 2
Let t(n) = 10*n**3 + 7*n**2 - 247*n - 1742. Let h(r) = 7*r**3 + 4*r**2 - 165*r - 1162. Let b(k) = -7*h(k) + 5*t(k). Determine w, given that b(w) = 0.
-8, 9
Suppose -143 - 392*z**2 - 394*z**2 + 407 + 936 + 789*z**2 + 120*z = 0. What is z?
-20
Let p(a) = -a**2 - a + 18. Let i be p(-5). Let s be 2*1 + (-2)/(-5) + i. Let 0 + 0*j - s*j**3 + 1/5*j**4 + 0*j**2 = 0. What is j?
0, 2
Let b(h) = -35*h - 140. Let f be b(-4). Factor -1/2 + 4*u**3 + 3/2*u**4 + 3*u**2 + f*u.
(u + 1)**3*(3*u - 1)/2
Let d(r) = 9*r**4 + 73*r**3 + 907*r**2 - 7*r - 33757. Let y(z) = -5*z**4 - 36*z**3 - 454*z**2 + 4*z + 16879. Let q(t) = -4*d(t) - 7*y(t). Factor q(u).
-(u - 5)*(u + 15)**3
Let l(b) be the first derivative of 2*b**3/51 + 2*b**2/17 - 48*b/17 - 68. Factor l(f).
2*(f - 4)*(f + 6)/17
Let l be ((-12)/(-24))/(2/20). Suppose 3*w + 3*w**l + 2*w**3 - 5*w**3 + 0*w**3 - 3*w**3 = 0. Calculate w.
-1, 0, 1
Suppose -3*i = -7*i - 4, i = 2*w - 73. Suppose -w*f**4 + 20*f + 82*f + 156*f**3 + 42*f - 232*f**2 - 32 = 0. Calculate f.
2/3, 1, 2
Let b = -11 - -24. Suppose -22*a**2 - 16 + 2*a**5 + b - 8*a - 12*a**3 - 6*a + a**4 = 0. Calculate a.
-1, -1/2, 3
Let s(c) be the third derivative of 0*c + 16*c**2 - 1/160*c**6 - 1/840*c**7 + 0 + 0*c**4 + 0*c**5 + 0*c**3. Factor s(j).
-j**3*(j + 3)/4
Let s = -704 - -707. Let h(u) be the first derivative of -51/5*u**5 + s + 3*u**2 + 0*u - 11*u**3 + 5/2*u**6 + 63/4*u**4. Suppose h(v) = 0. What is v?
0, 2/5, 1
Let i(j) = -j**3 - 14*j**2 + 3. Let q be i(-14). Determine b, given that -4*b**2 + b**3 - 12*b**4 - b**3 + 0*b**q - 16*b**3 = 0.
-1, -1/3, 0
Let y(u) be the third derivative of -u**7/105 + u**5/10 + u**4/6 - u**2 - 6. Factor y(m).
-2*m*(m - 2)*(m + 1)**2
Let z(y) be the first derivative of y**7/56 - y**6/40 - 9*y**5/80 + 5*y**4/16 - y**3/4 + 32*y - 15. Let h(t) be the first derivative of z(t). Factor h(b).
3*b*(b - 1)**3*(b + 2)/4
Let r(h) be the first derivative of h**5/24 - h**4/16 - h**3/6 - 27*h**2/2 + 3. Let q(m) be the second derivative of r(m). Factor q(i).
(i - 1)*(5*i + 2)/2
Let d = -6974/17 + 410. Let t = d + 29/51. Factor -5/3*y + 4/3*y**2 + 2/3 - t*y**3.
-(y - 2)*(y - 1)**2/3
Suppose -8 = 3*z - 7*z. Solve 9*s - 2*s - 5*s + 10*s + 4*s**z = 0.
-3, 0
Let j(k) be the second derivative of -k**5/35 - 17*k**4/7 + 43*k. Suppose j(b) = 0. What is b?
-51, 0
Solve -153/2*l**3 - 75/2*l + 0 + 105/2*l**4 - 345/2*l**2 - 6*l**5 = 0.
-1, -1/4, 0, 5
Find h, given that -49*h**2 + 16*h + 138*h**2 + 8*h**3 - 53*h**2 + 0*h = 0.
-4, -1/2, 0
Let s be (-5 - ((-65)/10 + 1))*0. Let h be s + 15/(-36)*-3. Factor h*b**4 + 0 + 0*b + 5/2*b**2 - 15/4*b**3.
5*b**2*(b - 2)*(b - 1)/4
Let q = 2 - 2. Let c = 2 + q. Let 5*z**2 + 18*z**3 + z - 11*z + 7*z**c - 4 = 0. Calculate z.
-1, -1/3, 2/3
Let w(x) be the first derivative of -4*x**3/15 + 1092*x**2/5 - 298116*x/5 - 527. Suppose w(l) = 0. What is l?
273
Let u(n) be the third derivative of 5*n**8/1344 + n**7/72 - n**6/144 - n**5/8 + n**4/3 - 12*n**2. Let v(x) be the second derivative of u(x). Factor v(g).
5*(g + 1)**2*(5*g - 3)
Let k(y) be the third derivative of 0*y**4 - 1/120*y**5 + 0 + 0*y + 1/160*y**6 + 0*y**7 + 0*y**3 - 14*y**2 - 1/1344*y**8. Determine r so that k(r) = 0.
-2, 0, 1
Factor -4/3*r**2 - 264196/3 + 2056/3*r.
-4*(r - 257)**2/3
Suppose 7*q + 9 - 51 = 0. Solve -9*i + 18*i**2 - q - 29*i**2 + 10*i**2 - 2 = 0 for i.
-8, -1
Let h(l) be the first derivative of l**8/1080 + l**7/420 + l**6/810 + 8*l**3 + 42. Let b(q) be the third derivative of h(q). Factor b(t).
2*t**2*(t + 1)*(7*t + 2)/9
Let b(o) = 6*o**2 + 8*o - 4. Let p(n) be the second derivative of 7/12*n**4 - 2*n - 5/2*n**2 + 0 + 3/2*n**3. Let v(x) = -5*b(x) + 4*p(x). Factor v(k).
-2*k*(k + 2)
Let i = -907 - -913. Let x(m) be the third derivative of 0*m + 6*m**2 - 1/40*m**i + 0*m**4 + 0*m**3 + 1/210*m**7 + 0 + 1/30*m**5. Factor x(n).
n**2*(n - 2)*(n - 1)
Suppose 11*h - 8 = 36. Suppose -h*i = -8*i + 8. Let -3/5 - 3/5*o**3 - 9/5*o**i - 9/5*o = 0. What is o?
-1
Let o(g) be the third derivative of 0*g**5 + 1/36*g**4 - g**3 - 1/540*g**6 + 0*g + 0 - 5*g**2. Let r(k) be the first derivative of o(k). Factor r(j).
-2*(j - 1)*(j + 1)/3
Let r(n) be the third derivative of -7*n**6/40 - 27*n**5/4 - 41*n**4/2 - 18*n**3 - 17*n**2 - 2. Solve r(x) = 0.
-18, -1, -2/7
Suppose -2*a = -c - 17, -a + 0*c = 5*c - 3. Factor 5*i - a*i**2 + 7*i + 13*i**2 - 2*i**2.
3*i*(i + 4)
Let a(u) = -6*u**3 - 28*u**2 + 38*u + 64. Let b(j) = 20*j**3 + 83*j**2 - 115*j - 192. Let f(x) = -7*a(x) - 2*b(x). Solve f(q) = 0.
-16, -1, 2
Let f(c) be the first derivative of -c**4/2 + 10*c**3/3 - 8*c**2 + 8*c + 50. Solve f(v) = 0.
1, 2
Let s(l) be the first derivative of -2*l**6/3 - 88*l**5/5 - 60*l**4 - 232*l**3/3 - 38*l**2 + 348. Factor s(n).
-4*n*(n + 1)**3*(n + 19)
Let p(h) = 4*h**2 + h. Let l be p(1). Let q(y) be the first derivative of 5 - 3*y**2 + 2/3*y**3 + 2/15*y**l + 0*y + 5/6*y**4. Factor q(u).
2*u*(u - 1)*(u + 3)**2/3
Factor 14/15*m + 2/15*m**2 - 16/15.
2*(m - 1)*(m + 8)/15
Let x(v) = -v**3 + 10*v**2 - v + 3. Let s be x(10). Let u be s/(-6) + (-6)/12. Factor 0*g - 4/9*g**2 + 0 + 0*g**4 - u*g**3 + 2/9*g**5.
2*g**2*(g - 2)*(g + 1)**2/9
Let t(o) = 7*o + 123. Let f be t(-17). Let z(l) = 1. Let x = -3 + 2. Let y(m) = 3*m**2 - 9*m - 8. Let b(a) = f*z(a) + x*y(a). Factor b(n).
-3*(n - 4)*(n + 1)
Let z(u) = -9*u + 1. Let d(i) = i - 1. Let r(o) = 6*d(o) + z(o). Let c(a) = -a**2 - 5*a - 11. Let s(m) = 6*c(m) - 15*r(m). Factor s(f).
-3*(f - 3)*(2*f + 1)
Factor 0 + 0*b**2 - 4/13*b**4 + 2/13*b**5 + 2/13*b**3 