 1)/9
Let u(v) = -2 - 1 + 0 + 0 + v. Let w be u(5). Factor 4*o**2 - 5*o**2 + o - 3*o**3 + 4*o**w - 5*o**2.
-o*(o + 1)*(3*o - 1)
Let g(x) be the third derivative of 0*x**4 + 1/420*x**6 + 0*x**3 + 1/210*x**5 + 0 + 0*x + 2*x**2. Factor g(a).
2*a**2*(a + 1)/7
Let m(a) = a**2 + 11*a + 18. Let h be m(-9). Factor 0*f + h*f**2 + 3/2*f**5 - 3/2*f**4 - 3*f**3 + 0.
3*f**3*(f - 2)*(f + 1)/2
Let z(p) be the first derivative of -p**7/1400 - p**6/450 + p**5/120 + p**4/60 + 13*p**3 + 51. Let f(t) be the third derivative of z(t). Solve f(l) = 0.
-2, -1/3, 1
Let n(s) = -s**3 + s**2 + s + 1. Let o(d) = 3*d**3 - 22*d**2 - 3*d + 14. Let c(w) = 4*n(w) + o(w). Factor c(u).
-(u - 1)*(u + 1)*(u + 18)
Let j(w) = w**2 + 75*w + 540. Let m be j(-8). Factor 2/7*n + 0*n**3 + 0 + 1/7*n**m - 3/7*n**2.
n*(n - 1)**2*(n + 2)/7
Let g(h) be the third derivative of 0*h**4 + 0*h - 1/2352*h**8 + 0*h**3 - 26*h**2 + 0*h**7 + 1/210*h**5 + 0 + 1/280*h**6. Solve g(x) = 0 for x.
-1, 0, 2
Let i be (-5)/(-8)*(-4)/(-5). Factor i*z**2 + 1/2 - z.
(z - 1)**2/2
Let z = -439 + 160. Let d = 1413/5 + z. Solve 0 - d*t**2 + 14/5*t**3 + 4/5*t = 0 for t.
0, 2/7, 1
Let o be ((-348)/24 - -14)*(-5 - -3 - 2). Factor 2/5*g**5 + 0*g - 2/5*g**o - 2/5*g**3 + 2/5*g**4 + 0.
2*g**2*(g - 1)*(g + 1)**2/5
Suppose 3*o - 69 = -60. Let x(s) be the first derivative of 5 - 5/3*s**o - s**4 + 0*s - 1/2*s**2. Factor x(v).
-v*(v + 1)*(4*v + 1)
Suppose 162/7*z**4 - 288/7*z**3 - 192*z**2 + 512/7 - 512/7*z = 0. Calculate z.
-4/3, 4/9, 4
Factor -c**2 - 3*c**3 - 9*c**2 + 16*c**2 + 0*c**3.
-3*c**2*(c - 2)
Suppose 120*y - 756 = 12*y - 81*y. Find g, given that 0 - 3/7*g**2 + 3/7*g**y - 2/7*g + 1/7*g**5 + 1/7*g**3 = 0.
-2, -1, 0, 1
Suppose 75 = 20*c + 15. Let p(k) be the third derivative of -3/20*k**5 + 0*k + 0 + 0*k**c + 1/10*k**6 - 1/8*k**4 - 4*k**2. Determine y, given that p(y) = 0.
-1/4, 0, 1
Factor 145/4*y + 3/4*y**4 + 25/2 + 35/4*y**3 + 127/4*y**2.
(y + 1)*(y + 5)**2*(3*y + 2)/4
Let v(a) be the first derivative of 33*a**4/32 - 111*a**3/4 + 855*a**2/4 - 75*a + 680. Suppose v(n) = 0. Calculate n.
2/11, 10
Let q(j) be the third derivative of 0 - 1/60*j**6 + 0*j**3 + 13/105*j**5 + 0*j + 8*j**2 + 2/21*j**4. Find l such that q(l) = 0.
-2/7, 0, 4
Let f(k) be the first derivative of 3*k**3 - 3*k**2/8 - 26. Factor f(g).
3*g*(12*g - 1)/4
Suppose 16 = -4*o + 9*o - 4*l, 0 = -3*o - 4*l + 16. Let x be ((-2)/16)/((-2)/o). Let x*a**4 + 0*a**2 + 0*a + 0 + 1/4*a**3 = 0. Calculate a.
-1, 0
Let q be -2*3/18 - (-13)/3. Let p be (q - 6)*(-1)/5. Find s, given that -2/5*s**3 + 2/5*s**2 - p + 2/5*s = 0.
-1, 1
Let p be (-18)/(-252)*-35 + 18/4. Factor -2/3 + 10/3*z + 5*z**3 - 37/6*z**p - 3/2*z**4.
-(z - 1)**2*(3*z - 2)**2/6
Let q(r) = 27*r + 891. Let g be q(-33). Factor g - 6/13*b**3 + 10/13*b**2 + 4/13*b.
-2*b*(b - 2)*(3*b + 1)/13
Let y(k) be the second derivative of -k**6/150 + 2*k**5/75 - k**4/30 - 37*k**2/2 + 15*k. Let p(d) be the first derivative of y(d). Find w such that p(w) = 0.
0, 1
Determine o so that 0 - 39/4*o**2 - 3/4*o**3 - 33/2*o = 0.
-11, -2, 0
Let h(m) be the third derivative of -m**6/240 + 3*m**5/40 - m**4/2 + 4*m**3/3 - 108*m**2 + 2. Factor h(s).
-(s - 4)**2*(s - 1)/2
Let d(a) be the second derivative of -2*a**6/15 - 17*a**5/15 - 8*a**4/3 - 2*a**3 - 23*a**2/2 - 20*a. Let c(x) be the first derivative of d(x). Factor c(k).
-4*(k + 1)*(k + 3)*(4*k + 1)
Let l(o) be the first derivative of -2*o**5/35 - 37*o**4/14 - 184*o**3/7 + 1360*o**2/7 + 3200*o/7 - 264. What is g in l(g) = 0?
-20, -1, 4
Suppose -4*a + 23 = r, 6*r - 97 = 3*r + 2*a. Determine g, given that r*g**2 - 58 - 34*g**2 - 65 + 48 + 30*g = 0.
5
Let r(p) be the third derivative of -p**5/30 - 8*p**4 - 768*p**3 - 7*p**2 - 5. Factor r(b).
-2*(b + 48)**2
Let p = -1879/6 + 941/3. Determine n, given that 1 - p*n - n**2 + 1/2*n**3 = 0.
-1, 1, 2
Find f such that -2*f**4 + 8*f**4 - 4*f**5 + 2*f**5 = 0.
0, 3
Let v = 3763/40 - 937/10. Factor v - 3/2*j**3 + 3/8*j**4 - 3/2*j + 9/4*j**2.
3*(j - 1)**4/8
Factor 11/2*j + 3/2*j**4 + 19/2*j**2 + 13/2*j**3 + 1.
(j + 1)**2*(j + 2)*(3*j + 1)/2
Let s(f) = 23*f**4 + 62*f**3 - 68*f**2 - 17*f. Let c(v) = 24*v**4 + 61*v**3 - 69*v**2 - 16*v. Let z(w) = -3*c(w) + 4*s(w). Find q, given that z(q) = 0.
-4, -1/4, 0, 1
Let l(f) be the first derivative of -f**3/5 - 264*f**2/5 - 23232*f/5 - 459. Factor l(x).
-3*(x + 88)**2/5
Suppose -n = g - 7, 4*n - g - 13 = -5. Let c be (0 + -12)*80/(-640). Let -13/4*j**2 + 0 - 5/4*j**n + c*j = 0. Calculate j.
-3, 0, 2/5
Let d(g) = -g**3 - g + 1. Let i(p) = 10*p**3 - 3*p**2 + 15*p + 1. Let t(r) = 44*d(r) + 4*i(r). Determine v, given that t(v) = 0.
-3, -2, 2
Let z = 8057/370 + -13/74. Factor 72/5*l**2 + 2/5*l**4 + 4*l**3 + z*l + 54/5.
2*(l + 1)*(l + 3)**3/5
Let o(w) = -3*w**3 - 20*w**2 + 108*w - 4. Let v(z) = -z**3 + 2*z - 1. Let k(m) = -3*o(m) + 12*v(m). Factor k(u).
-3*u*(u - 10)**2
Let j be (114/(-92))/(-3) - (15 - 4858/322). Factor j*p**3 - 1/2 + 3/2*p - 3/2*p**2.
(p - 1)**3/2
Let t = 5939/7908 - 2/1977. Find i, given that 3/4*i**3 + t*i**2 + 0 - 3/4*i - 3/4*i**4 = 0.
-1, 0, 1
Factor 145*i + 63*i + 20804 + 21*i + 5*i**2 + 9616 + 551*i.
5*(i + 78)**2
Factor 432/5*t + 72*t**2 - 100*t**4 - 80*t**3 + 108/5.
-4*(t - 1)*(5*t + 3)**3/5
Let x be -305*(-5)/90*-6. Let l = x - -102. Factor 0 + 1/3*u**3 + l*u**4 - 1/3*u**2 - 1/3*u**5 + 0*u.
-u**2*(u - 1)**2*(u + 1)/3
Let u(f) = f**2 - 2*f + 1. Let v be (72/20)/(14/(-35)). Let n(b) = 4*b**2 - 8*b + 4. Let y(g) = v*u(g) + 2*n(g). Factor y(a).
-(a - 1)**2
Let x(o) = 4*o - 63. Let u be x(-16). Let m = -124 - u. Find i such that 4/3*i + 1/3*i**4 + 5/3*i**m + 0 + 8/3*i**2 = 0.
-2, -1, 0
Let i be ((-415)/(-70) - 5) + (-10)/60*3. Let l = 601/21 - 85/3. Factor x + i*x**2 + l.
(x + 2)*(3*x + 1)/7
Suppose 107*g = 109*g. Find n such that 1/2*n**2 - 1/2*n**4 - 1/2*n + 1/2*n**3 + g = 0.
-1, 0, 1
Let i be 2 + (-3)/(-3 + 0). Solve 15*b**i + 7*b - 10*b**2 - 3*b + b - 10*b**3 = 0 for b.
0, 1
Let v(l) be the first derivative of -2*l**5/35 + 5*l**4/14 + 4*l**3/3 + 334. Factor v(u).
-2*u**2*(u - 7)*(u + 2)/7
Let y be ((-87)/203)/((-9)/105). Let c(t) be the third derivative of 11/84*t**4 + 8/105*t**y + 2/21*t**3 + 1/60*t**6 + 0 - 8*t**2 + 0*t. Factor c(l).
2*(l + 1)**2*(7*l + 2)/7
Let j(t) be the second derivative of 121*t**5/150 - 11*t**4/2 + 221*t**3/15 - 289*t**2/15 - 143*t - 1. Suppose j(q) = 0. What is q?
1, 17/11
Let a(w) = -w**2 + 8*w - 3. Let c be a(4). Let y = -10 + c. Factor -2*g**2 - 5*g + 2 + 4*g - g + 0 + 2*g**y.
2*(g - 1)**2*(g + 1)
Let p be 84144/20 + (-4)/20. Factor -4207 + 2*x**2 - 2*x + p.
2*x*(x - 1)
Let p(v) be the second derivative of 16*v**7/189 - 44*v**6/45 - 53*v**5/45 - v**4/3 + 177*v. What is r in p(r) = 0?
-1/2, -1/4, 0, 9
Let y be 804/792 - (-18)/(-99). Let x(r) be the second derivative of 0*r**2 - 1/4*r**5 - 5*r - y*r**3 - 5/6*r**4 + 0. Find g, given that x(g) = 0.
-1, 0
Let t(n) be the third derivative of 3*n**6/100 - 19*n**5/75 + 7*n**4/12 - 2*n**3/5 - 30*n**2. Suppose t(r) = 0. Calculate r.
2/9, 1, 3
Let s(m) be the third derivative of m**6/1440 - m**5/160 - m**4/24 + 7*m**3/2 - 18*m**2. Let p(j) be the first derivative of s(j). Solve p(t) = 0.
-1, 4
Let w be (-530)/(-75) + -4 + (1 - 4). Let b(k) be the third derivative of w*k**5 + 0 + 1/60*k**6 + 3*k**2 - 8/3*k**3 - 1/3*k**4 + 0*k. Solve b(i) = 0 for i.
-2, 2
Let c be -1*(71/546 + (-8)/52). Let g(q) be the second derivative of 0 - 6*q + 0*q**2 + 3/70*q**5 + 1/147*q**7 - 1/35*q**6 - c*q**4 + 0*q**3. Factor g(v).
2*v**2*(v - 1)**3/7
Let s = 2/413 + 116/413. What is l in -s - l + l**3 + 5/7*l**4 - 3/7*l**2 = 0?
-1, -2/5, 1
Let o be 130/14 + (-52 - -44). Let f be 90/21 + (-6)/21. Let o*q**f - 12/7 + 3*q**2 + 12/7*q - 30/7*q**3 = 0. Calculate q.
-2/3, 1, 2
Suppose 0 = -u + 2 + 6. Let a = u - 6. Factor 1 - 6*c**2 + 2*c + 5*c**a - 1.
-c*(c - 2)
Let u(o) be the third derivative of -o**8/588 - 52*o**7/735 - 31*o**6/30 - 28*o**5/5 + o**2 - 74. Let u(n) = 0. Calculate n.
-12, -7, 0
Let p(f) = -4885*f**3 + 5990*f**2 - 1040*f + 85. Let d(q) = 407*q**3 - 499*q**2 + 87*q - 7. Let y(z) = 25*d(z) + 2*p(z). Factor y(j).
5*(j - 1)*(9*j - 1)**2
Let 3/5*k**2 - 111/5 + 108/5*k = 0. Calculate k.
-37, 1
Let b(d) be the second derivative of -d**5/240 - d**4/32 + d**3/6 - 15*d**2/2 + 2*d. Let s(y) be the first derivative of b(y). Solve s(p) = 0 for p.
