y) = 56*y**3 - 79*y**2 + 172*y - 84. Let b(i) = 26*i**3 - 40*i**2 + 86*i - 42. Let j(x) = -13*b(x) + 6*o(x). Solve j(a) = 0.
1, 21
Let z be ((-3)/(-8))/(138 + -12). Let i(p) be the second derivative of -1/240*p**6 + 1/96*p**4 + 0*p**3 + 0 + 0*p**2 - 1/160*p**5 + z*p**7 - 7*p. Factor i(m).
m**2*(m - 1)**2*(m + 1)/8
Let s be 1/(-5) + 5/25. Let a(o) be the first derivative of -2/3*o**3 - 1/4*o**4 + s*o - 1/2*o**2 - 3. Solve a(f) = 0.
-1, 0
Let d = 9 + 31. Factor 4*f**4 + 10*f**3 - 8*f**4 - 20*f**2 - d*f + 9*f**4.
5*f*(f - 2)*(f + 2)**2
Suppose 43 - 15 = 2*n. Factor 0*o**3 - o**3 + 22*o**2 + 1 + o - 37*o**2 + n*o**2.
-(o - 1)*(o + 1)**2
Let f = 55 + -39. Let m(b) = -b + 6. Let q be m(2). Factor f + q*n - 7*n + n**2 - 5*n.
(n - 4)**2
Let i(c) be the third derivative of 0 + 1/360*c**6 + 0*c**3 + 9*c**2 + 0*c + 1/36*c**4 - 1/60*c**5. Find o, given that i(o) = 0.
0, 1, 2
Factor -3 - 2 - 26*i + 39*i**2 - 3 - 1 - 4*i**3.
-(i - 9)*(i - 1)*(4*i + 1)
Let y(v) = 7*v**2 + 148*v - 309. Let z(m) = 8*m**2 + 148*m - 308. Let i(g) = -4*y(g) + 3*z(g). Factor i(j).
-4*(j - 2)*(j + 39)
Let n(v) be the second derivative of v**4/36 + 17*v**3/18 + 11*v**2 - 204*v. Factor n(q).
(q + 6)*(q + 11)/3
Suppose 0*l = 2*l + 12. Let f(p) = -p - 3. Let g be f(l). Factor -12*u - 6 + 4 - g*u**2 + 5 + 12*u**3.
3*(u - 1)*(u + 1)*(4*u - 1)
Suppose 2190*x - 4 = 2188*x. Let k(m) be the third derivative of 2/21*m**3 + 0 + 1/84*m**4 + 0*m - 1/210*m**5 - 9*m**x. Factor k(t).
-2*(t - 2)*(t + 1)/7
Suppose 39*r - 40 = -40. Factor 3/2*k**2 - 5*k**4 + 13/4*k**5 + 1/4*k**3 + r*k + 0.
k**2*(k - 1)**2*(13*k + 6)/4
Let b(o) be the third derivative of o**6/120 - o**3/2 - o**2. Let u(c) be the first derivative of b(c). Factor u(k).
3*k**2
Let q(g) = 6*g. Let l be q(4). Find d such that 3*d**4 + l*d**4 - 12*d**2 - 4*d**2 - 11*d**4 - 4*d**3 + 4*d**5 = 0.
-4, -1, 0, 1
Let y = -67/46 + 695/414. Factor -4/9 + 2/9*k**3 + y*k**4 - 2/3*k**2 - 10/9*k.
2*(k - 2)*(k + 1)**3/9
Let h(r) be the second derivative of 3*r**6/25 - 3*r**5/50 - r**4/6 - r**3/15 + 142*r. Let h(o) = 0. What is o?
-1/3, 0, 1
Let b(u) = -11*u**5 - u**4 + 6*u**2 - 6*u - 6. Suppose 30 = 4*k - 14. Let z(c) = -21*c**5 - c**4 + 11*c**2 - 11*c - 11. Let m(p) = k*b(p) - 6*z(p). Factor m(i).
5*i**4*(i - 1)
Let 1825346 + 291/2*u**2 - 28227*u - 1/4*u**3 = 0. Calculate u.
194
Let h(w) be the second derivative of -w**6/45 + w**5/2 - 28*w**4/9 - 370*w - 1. What is s in h(s) = 0?
0, 7, 8
Let d(m) be the second derivative of m**5/80 - 5*m**4/16 - 3*m**3 - 19*m**2/2 - 30*m - 2. Let d(n) = 0. What is n?
-2, 19
Let q(x) = -3*x**2 + 17*x. Let d(j) = 2*j**2 - 8*j. Let l be (-6)/12 - (15/(-2))/(-3). Let f(v) = l*q(v) - 7*d(v). Find s such that f(s) = 0.
0, 1
Let k(h) = -h**2 + h. Let p(r) = 4*r - 3*r - 2*r + r**3 + r**2. Let u(d) = -5*k(d) - 5*p(d). Suppose u(z) = 0. What is z?
0
Let s(j) be the first derivative of -3*j**5 - 215*j**4/2 - 3220*j**3/3 - 980*j**2 - 22. Factor s(r).
-5*r*(r + 14)**2*(3*r + 2)
Let m(n) be the third derivative of n**7/210 + 7*n**6/120 + 13*n**5/60 - n**4/8 - 3*n**3 + 3*n**2 + 22. Determine g so that m(g) = 0.
-3, -2, 1
Let z(s) be the second derivative of -s + 18 - 10*s**2 + 15/2*s**3 - 5/2*s**4 + 1/4*s**5. Factor z(m).
5*(m - 4)*(m - 1)**2
Let l = 40 - 38. Factor 15*x**2 - l*x**3 - 3*x**3 + 4*x**3 - 75*x + 125.
-(x - 5)**3
Let j = -869 - -875. Let o(b) be the second derivative of 6*b + 1/168*b**7 - 1/120*b**j + 0 + 0*b**5 + 0*b**3 + 0*b**2 + 0*b**4. Factor o(r).
r**4*(r - 1)/4
Let w(i) be the second derivative of i**4/4 - 2*i**3 - 18*i**2 + 153*i. Factor w(k).
3*(k - 6)*(k + 2)
Suppose -8/9 + 2*f**3 - 8/9*f**4 + 52/9*f**2 + 2*f = 0. What is f?
-1, 1/4, 4
Determine i so that -10*i**3 - 2/3*i**4 + 0 + 2/3*i**2 + 10*i = 0.
-15, -1, 0, 1
Let n(o) be the first derivative of -o**7/840 + o**6/120 - o**5/40 + o**4/24 + 14*o**3/3 + 7. Let a(w) be the third derivative of n(w). Factor a(g).
-(g - 1)**3
Suppose -3*j - j = -12. Let o = j + 0. Find v such that -9*v - 4*v**2 + 0*v + 2*v**o + 2*v**4 + 9*v = 0.
-2, 0, 1
Suppose -29*v - 12 = -33*v. Suppose 6*g**4 + 2*g**3 - 6*g - 11*g**3 + 9*g**4 + 6*g**v + 9*g**5 - 15*g**2 = 0. What is g?
-1, -2/3, 0, 1
Let y(r) be the first derivative of -5*r**3/3 - 155*r**2 - 600*r - 11. Factor y(o).
-5*(o + 2)*(o + 60)
Let x = -78 - -548/7. Let u(j) be the first derivative of 1 - 3/14*j**2 + x*j + 1/21*j**3. Factor u(y).
(y - 2)*(y - 1)/7
Let p be 10710/(-990) + 13 + -2. Factor 4/11*b + 2/11*b**2 + p.
2*(b + 1)**2/11
Let d(j) = 3*j + 12. Let r be d(-3). Let z = -159/4 + 40. Find w such that 1/4*w**r - 1/4*w - z*w**2 + 1/4 = 0.
-1, 1
Let c(b) be the second derivative of -16*b + 3/2*b**2 + 81/8*b**4 + 5/4*b**6 - 23/4*b**3 + 0 - 51/8*b**5. Find v, given that c(v) = 0.
1/5, 1, 2
Suppose -5*c - a - 26 = -51, -5*a = 2*c - 10. Let 0 - 2/9*j**c + 2/9*j**3 + 2/9*j**4 + 0*j - 2/9*j**2 = 0. What is j?
-1, 0, 1
Let c = -16 - -30. Solve -1 + c*t - 8*t**2 + 0*t**2 - 32*t**3 - 1 - 8*t**2 = 0.
-1, 1/4
Let c(d) be the third derivative of -d**8/60480 - d**7/7560 + d**6/720 - d**5/6 - 17*d**2. Let i(x) be the third derivative of c(x). Let i(w) = 0. Calculate w.
-3, 1
Let n(w) be the third derivative of -w**8/2856 - 4*w**7/1785 - w**6/204 - w**5/255 + 4*w**2 + 9*w. Solve n(b) = 0.
-2, -1, 0
Suppose -104*v = 17 - 225. Let -25/3 + 10/3*p - 1/3*p**v = 0. What is p?
5
Determine o so that 10*o**2 - 17*o**2 - 28 - 528*o + 156 - 113*o**2 + 36*o**3 - 104*o**2 = 0.
-2, 2/9, 8
Determine c, given that 3151*c**2 - 3 + 135*c + 3 - 3156*c**2 = 0.
0, 27
Let m(v) be the second derivative of -v**7/5670 - v**6/135 - 2*v**5/15 + 4*v**4/3 + 26*v. Let d(t) be the third derivative of m(t). Let d(s) = 0. Calculate s.
-6
Let u(j) be the third derivative of j**8/560 + 41*j**7/350 - 87*j**6/100 + 133*j**5/50 - 179*j**4/40 + 9*j**3/2 - 783*j**2. Determine z so that u(z) = 0.
-45, 1
Let y be (-122)/8 - 4/(-16). Let k = 15 + y. Let 3*m + k - 3/2*m**2 = 0. What is m?
0, 2
Let t(n) be the third derivative of 11/40*n**5 + 2*n**2 + 0 + 1/4*n**3 + 0*n + 15/32*n**4 - 3/35*n**7 + 1/28*n**8 - 31/160*n**6. Suppose t(r) = 0. What is r?
-1, -1/4, 1, 2
Factor 8 - 10 + 38*v**2 - 9*v - 9 - 29*v - 1 - 8*v**3.
-2*(v - 3)*(v - 2)*(4*v + 1)
Let g(k) be the third derivative of -49*k**6/720 - 7*k**5/45 + 25*k**4/48 - k**3/2 + k**2 + 56*k. Factor g(i).
-(i + 2)*(7*i - 3)**2/6
Let f(s) be the second derivative of s**7/42 - s**6/12 - s**5/12 + 5*s**4/12 - 23*s**2 + 37*s. Let z(d) be the first derivative of f(d). Factor z(h).
5*h*(h - 2)*(h - 1)*(h + 1)
Suppose 0*d = 5*a - 2*d - 76, 4*d + 12 = 0. Let z = -12 + a. Find n such that -77/2*n**z - 2 - 49/2*n**3 - 16*n = 0.
-1, -2/7
Let v be -48*((-12)/8 + 2). Let u(l) = -4*l**4 - 44*l**3 - 24. Let h(a) = a**4 + 9*a**3 + 5. Let i(c) = v*h(c) - 5*u(c). Solve i(n) = 0 for n.
0, 1
Solve 0*v**3 - 12*v + 0*v**3 + 3*v**3 - 9*v**2 + 4*v**3 + 4 = 0 for v.
-1, 2/7, 2
Suppose -11 = 5*m - 26. Factor 0 + 2/15*b**4 + 8/15*b**m + 0*b + 2/5*b**2.
2*b**2*(b + 1)*(b + 3)/15
Factor 4*h**4 + 120*h**3 - 147*h**3 - h**4.
3*h**3*(h - 9)
Suppose 15 = -47*m + 50*m. Let g(n) be the second derivative of 0*n**2 + 1/48*n**4 + 1/16*n**m + 1/40*n**6 - 1/24*n**3 + 0 - 6*n. Factor g(h).
h*(h + 1)**2*(3*h - 1)/4
Let s(z) be the second derivative of -z**5/40 + 23*z**4/6 - 529*z**3/3 - 161*z. Let s(i) = 0. Calculate i.
0, 46
Determine h so that -108/5 + 3/5*h**5 + 141/5*h**3 + 39/5*h**4 - 144/5*h + 69/5*h**2 = 0.
-6, -1, 1
Let u(z) be the first derivative of -5*z**3/3 + 20*z**2 + 325*z + 242. Suppose u(o) = 0. What is o?
-5, 13
Let t(w) be the third derivative of w**7/1260 - w**6/360 - w**5/10 - 7*w**4/24 + 30*w**2. Let j(b) be the second derivative of t(b). Let j(c) = 0. What is c?
-2, 3
Let n = 32 + -20. Let v = 16 - n. Suppose 0 + 2*b**4 - 2*b**2 - 2*b - 2*b**5 + 0*b**3 - 2*b**2 + v*b**3 + 2 = 0. What is b?
-1, 1
Let m(j) = 6*j + 0*j + 4 + j + 3. Let q be m(-1). Determine k, given that -5/2*k**4 + q + 0*k**3 + 0*k**2 + 0*k + 5/4*k**5 = 0.
0, 2
Let x = -27382/7 + 3912. Determine u so that x*u**2 - 4/7 + 2/7*u = 0.
-2, 1
Let k(d) be the third derivative of -d**8/420 - 6*d**7/175 - d**6/5 - 46*d**5/75 - 11*d**4/10 - 6*d**3/5 + 14*d**2 + 1. Solve k(l) = 0.
-3, -1
Find i, given that 63*i - 3969/2 - 1/2*i**2 = 0.
63
Let k(g) = 3*g + g - 3*g + g**3 - 1. Suppose 84*i - 100*i