**3/9 - g**2/6 - g/3 - 66. Let m(y) = 0. Calculate y.
-1/2, 1
Let i(h) be the second derivative of 11*h**5/60 + h**4/2 - 4*h**3/9 + 61*h. Factor i(t).
t*(t + 2)*(11*t - 4)/3
Let 41*v - 11*v**2 + 2*v + 22 + 9*v**2 = 0. Calculate v.
-1/2, 22
Let c(d) be the second derivative of 0*d**2 + 0*d**5 + 0 + 7*d + 1/147*d**7 - 1/105*d**6 + 0*d**4 + 0*d**3. Determine u so that c(u) = 0.
0, 1
Let q(k) be the first derivative of 1/6*k**4 + 2/9*k**3 - 2/3*k**2 - 12 + 0*k. Factor q(d).
2*d*(d - 1)*(d + 2)/3
Factor 6*v**5 + 10*v**5 - 11*v**5 + 10*v**4 - 3*v**3 - 2*v**3 - 10*v**2.
5*v**2*(v - 1)*(v + 1)*(v + 2)
Factor 1/4*a**2 + 1/4*a**3 - 1/2*a + 0.
a*(a - 1)*(a + 2)/4
Let g(d) be the second derivative of d**5/140 + 41*d**4/42 + 38*d**3 - 252*d**2 + 99*d. Factor g(m).
(m - 2)*(m + 42)**2/7
Let s be (-50)/(-20)*(-4)/(-6). Let o = s - 1. Factor -4/3 + o*y + 2/3*y**2.
2*(y - 1)*(y + 2)/3
Factor -3*s**3 - 14*s + 21*s**2 + 2*s**2 - 36 + s**3 - 7*s**2 + 4*s**2.
-2*(s - 9)*(s - 2)*(s + 1)
Let k = 6771 - 6771. Factor -4/7*p - 2/7*p**3 + 6/7*p**2 + k.
-2*p*(p - 2)*(p - 1)/7
Let c = -34 - -37. Let h be -3 + 21/24 + 3. Find z, given that 5/8*z**c + h*z - 1/4 - 1/8*z**4 - 9/8*z**2 = 0.
1, 2
Factor 461*z**3 - 48 - 1443*z**2 - 108*z**4 + 378*z**3 + 328*z**3 - 339*z**3 - 552*z.
-3*(z - 4)**2*(6*z + 1)**2
Let u(t) be the second derivative of -t**6/70 + t**4/7 + 44*t - 1. Factor u(b).
-3*b**2*(b - 2)*(b + 2)/7
Let r be (16/(10 + -18))/(12/(-9)). Factor 1/2*q**2 + r - 2*q.
(q - 3)*(q - 1)/2
Let i(u) be the second derivative of u**7/7560 + u**6/720 - 17*u**4/12 - 7*u. Let s(g) be the third derivative of i(g). Factor s(d).
d*(d + 3)/3
Let l(n) = -2*n. Let p(m) = 2*m**3 + m**2 + m + 1. Let o be p(-1). Let d be l(o). Factor -3*j - 2*j**2 + 7*j + d*j - 4.
-2*(j - 2)*(j - 1)
Find j such that 47*j**2 + 51 - 25*j**4 + 43*j**2 - 11 - 132*j + 35*j**3 - 8*j = 0.
-2, 2/5, 1, 2
Let n(x) be the first derivative of -x**6/60 + x**5/10 + x**4/3 + 5*x**2 + 3*x + 7. Let k(u) be the second derivative of n(u). Let k(p) = 0. Calculate p.
-1, 0, 4
Suppose -7*w - 42 + 294 = 0. Suppose -4*h + 0*j = -5*j - w, 0 = -3*h - 3*j. Find s, given that -3/4*s + 0 + 3/4*s**2 - 3/4*s**h + 3/4*s**3 = 0.
-1, 0, 1
Let w be (3 - (-8)/(-4))*-3. Let s(m) = m**3 + 2*m**2 - 4*m - 3. Let h be s(w). What is b in b**2 - b**5 + 3*b**4 + b**3 + 2*b**5 + 2*b**3 + h*b**5 = 0?
-1, 0
Factor -4*h**4 - 63 - 92*h - 5*h**3 + 2*h**3 + 60*h**2 - h**3 + 103.
-4*(h - 2)*(h - 1)**2*(h + 5)
Let i(p) be the third derivative of -2*p**7/525 + 3*p**6/50 - 29*p**5/75 + 13*p**4/10 - 12*p**3/5 - 294*p**2. Let i(v) = 0. What is v?
1, 2, 3
Let y(q) be the second derivative of q**5/140 + 5*q**4/84 - q**3/42 - 5*q**2/14 - 102*q. Factor y(z).
(z - 1)*(z + 1)*(z + 5)/7
Let o = -1960428/7 - -279492. Let c = -568 - o. Factor 6/7*z**3 + 0 - 12/7*z**2 - 1/7*z**4 + c*z.
-z*(z - 2)**3/7
Suppose 5*n = -3*l + 42, -5*n = l + l - 33. Let j = l + 0. Solve -9*d**3 + 6*d**3 + 0 + 6 + j*d = 0.
-1, 2
Let n = 53873/80805 - 1/26935. Solve n*g**2 + 54 + 12*g = 0.
-9
Let x = -108 + 556. What is b in -b**3 - b**2 + 448 - x = 0?
-1, 0
Let h(t) = 2*t**3 + 2*t**2 + 1. Let r(y) = 26*y**3 + 24*y**2 + 14. Let s(d) = -28*h(d) + 2*r(d). Suppose s(x) = 0. Calculate x.
-2, 0
Let o be (-15)/(-9) + 16/3. Let c(y) be the third derivative of -1/200*y**6 + 0*y + 6*y**2 + 1/350*y**o + 0*y**3 + 0 + 0*y**5 + 0*y**4. Factor c(h).
3*h**3*(h - 1)/5
Let n = 14 + -3. Let k(d) = -14*d**2 + 12*d + 4. Let s(a) = 521*a**2 + 476*a**2 - 20 + 452*a**2 - 1380*a**2 - 60*a. Let u(g) = n*k(g) + 2*s(g). Factor u(l).
-4*(l - 1)*(4*l + 1)
Let f(t) be the third derivative of -3*t**5/20 - t**4/4 - t**3/6 + 7*t**2 + 6. Factor f(m).
-(3*m + 1)**2
Solve -102*h - 2*h**2 + 2166 + 0*h**2 + 435 + 4*h**2 - h**2 = 0 for h.
51
Let b = 43 + -61. Let d(j) = j**2 + 18*j. Let q be d(b). Factor 0 + q*v + 2/7*v**3 + 2/7*v**2.
2*v**2*(v + 1)/7
Let x(y) be the second derivative of -y**4/30 + 7*y**3/15 + 67*y. Find v such that x(v) = 0.
0, 7
Factor 0*b + 0 - 2/13*b**3 + 4/13*b**4 + 0*b**2.
2*b**3*(2*b - 1)/13
Factor 7/2*g**3 + 9/2*g**4 + 1/2*g**5 - 9/2*g**2 - 4*g + 0.
g*(g - 1)*(g + 1)**2*(g + 8)/2
Let f = 2217 + -11081/5. Let 0 + f*t - 2/5*t**2 = 0. Calculate t.
0, 2
Let 8 + 2/9*g**2 - 74/9*g = 0. Calculate g.
1, 36
Suppose 3*i + 4*w - 911 + 937 = 0, 0 = -4*i - 2*w - 8. Factor 2/7*v**4 + 8/7*v - 8/7 - 8/7*v**3 + 6/7*v**i.
2*(v - 2)**2*(v - 1)*(v + 1)/7
Suppose -3 - 2 = -z. Let -8 + z*o + 6*o - 4*o**3 + 2*o - o = 0. What is o?
-2, 1
Let o(a) = a**3 - a**2 + a. Let r(d) = -8*d - 11 + 10*d**2 - 6*d**3 + 0*d + 2. Let q be (-40)/12*((-24)/(-30) - 2). Let y(g) = q*r(g) + 20*o(g). Factor y(h).
-4*(h - 3)**2*(h + 1)
Let o(z) = -z + 3. Let m be o(0). Factor 3*k - 8*k**3 + 3 - 9*k**3 + 14*k**m - 3*k**2.
-3*(k - 1)*(k + 1)**2
Let s(v) be the first derivative of -14 + 5/3*v**3 - 20*v**2 + 80*v. Factor s(a).
5*(a - 4)**2
Suppose 48*u - 53*u = 3*o - 13, 3*o = 5*u - 7. Factor -3/2*v**u + 3 + 3/2*v.
-3*(v - 2)*(v + 1)/2
Let f(u) be the third derivative of 0 - 1/270*u**5 - 5/108*u**4 + 2/9*u**3 + 0*u + 25*u**2. Factor f(m).
-2*(m - 1)*(m + 6)/9
Let b(d) = d**3 - 12*d**2 - 9*d + 2. Let t(i) = 3*i**3 - 25*i**2 - 18*i + 5. Let a be ((-6)/9)/((-175)/(-45) - 4). Let o(g) = a*t(g) - 15*b(g). Factor o(z).
3*z*(z + 1)*(z + 9)
Let p(o) = 2*o + 1. Let d(i) = 21*i**2 - 91*i - 26. Let s(j) = d(j) - 4*p(j). Let s(u) = 0. Calculate u.
-2/7, 5
Let h(z) be the first derivative of 2*z**6/3 - 3*z**5/5 - 13*z**4/4 + z**3/3 + 9*z**2/2 + 2*z + 48. Determine i, given that h(i) = 0.
-1, -1/4, 1, 2
Factor -90*s**4 - 360*s**2 + 56*s**4 + 135 + 19*s**4 - 270*s - 130*s**3.
-5*(s + 3)**3*(3*s - 1)
Let t(p) = -2*p + 1. Let g(r) = -r**2 - 4*r + 16. Let q(k) = 5*g(k) - 20*t(k). Factor q(m).
-5*(m - 6)*(m + 2)
Let h be ((-1)/(-2))/(10/(240/4)). Let w(f) be the second derivative of -2*f + 1/2*f**4 + 0 - 1/2*f**3 + 3/20*f**5 - h*f**2. Let w(y) = 0. What is y?
-2, -1, 1
Let q(x) = x**2 - 1. Let a(p) = 2*p + 5*p - 3*p + 4. Let i = 9 - 5. Let o(k) = i*q(k) + a(k). Factor o(c).
4*c*(c + 1)
Let b(a) = a**2 + a - 4. Let c(d) = -2*d**2 + 44*d - 18. Let t(k) = -3*b(k) + 3*c(k). Factor t(z).
-3*(z - 14)*(3*z - 1)
Let i be ((-4)/6)/(16/(-48)). Suppose -2*k = i*t - 6, 0*t - 5*t = -5. Factor 0*s**k + 5/4*s**4 + 0*s + 3/4*s**5 + 1/2*s**3 + 0.
s**3*(s + 1)*(3*s + 2)/4
Factor 4/9*s**2 + 20/3*s - 136/9.
4*(s - 2)*(s + 17)/9
Suppose -10 = -2*s + 5*d + 8, 2 = -s - 3*d. Suppose 8 - 4*w**2 + 4*w**5 - 8 + s*w**4 - 4*w**3 = 0. What is w?
-1, 0, 1
Let j = -24870 + 124356/5. Determine h, given that -3/5*h**5 + 3/5*h + 0 - j*h**2 + 0*h**3 + 6/5*h**4 = 0.
-1, 0, 1
Let x be (-21 + (-180)/(-9))*0. Find o, given that -2/9*o**2 + 16/9*o + x = 0.
0, 8
Let c(m) = -6*m**2 - 5*m + 4 + 7*m**2 - 10. Let i be c(6). Factor -8/7*w**5 + 2*w**4 - 2/7*w**2 + 0 - 4/7*w**3 + i*w.
-2*w**2*(w - 1)**2*(4*w + 1)/7
Suppose -24*s + 281 = 2297. Let b be 56/s + 2 + (-16)/(-6). Let 0*g + 3/7*g**b + 0 + 3/7*g**2 - 6/7*g**3 = 0. What is g?
0, 1
Let g = 3429 - 3429. Let 0*s**3 + 2/7 - 4/7*s**2 + g*s + 2/7*s**4 = 0. Calculate s.
-1, 1
Factor 498*p**4 + 41*p**2 + 20*p - 20*p**2 - 1026*p**4 - 65*p**3 + 508*p**4 + 44*p**2.
-5*p*(p - 1)*(p + 4)*(4*p + 1)
Let t(z) = 186*z - 16. Let f be t(8). Factor 0*c**2 - 6*c**4 - 1470*c**5 + 8*c**2 + f*c**5.
2*c**2*(c - 2)**2*(c + 1)
Let c(o) be the second derivative of o**5/110 - o**3/11 + 12*o**2 + 22*o. Let k(m) be the first derivative of c(m). Factor k(j).
6*(j - 1)*(j + 1)/11
Factor 10/3*v**2 + 14/3*v + 4/3.
2*(v + 1)*(5*v + 2)/3
Let -18/11*c**2 + 0*c + 2/11*c**3 + 0 = 0. What is c?
0, 9
Let q be (-1)/(3*(-1)/(-6)). Let a(i) = -24*i - 5. Let s be a(q). Solve -43 - 2*v**4 + s - 3*v**4 = 0.
0
Let b(k) be the third derivative of -k**8/224 + k**7/42 - k**6/40 - k**5/15 + 3*k**4/16 - k**3/6 - 90*k**2. Suppose b(m) = 0. What is m?
-1, 1/3, 1, 2
Let g(o) = 12*o**3 - 9*o**2 - 9*o. Let b(x) = -3*x - 12*x**3 + x + 10*x + 8*x**2 + x**2. Let f(p) = 6*b(p) + 5*g(p). Find i such that f(i) = 0.
-1/4, 0, 1
Let g(z) be the third derivative of z**8/784 + z**7/245 - z**6/280 - z**5/70 - 141*z**2. Determine n so that g(n) = 0.
-2, -1, 0, 1
Suppose 22 = 3*h + 7. Suppose -41 = 2*g - 5*g - h*i, 3*g = -2*i + 29. Let -192*r - 75*r**3 + g + 17 + 7 + 285*r**2 + 5 = 0. What is r?
2/5, 3
Factor 233/3*h - 118/3*h**2 + 1/3