. Let t be x(a). Determine d so that -3/7*d**2 + 3/7 + t*d = 0.
-1, 1
Let m(o) be the third derivative of o**2 + 0 + 1/10*o**6 - 1/15*o**5 + 0*o - 3/70*o**7 + 0*o**3 + 0*o**4. Let m(j) = 0. Calculate j.
0, 2/3
Let b(d) = -22*d - 194. Let f be b(-9). Let o(m) be the first derivative of -1 - 8*m**f - 16/3*m**3 - 2*m + 7*m**2. Factor o(u).
-2*(u + 1)*(4*u - 1)**2
Let g(y) be the first derivative of -y**3 - 51*y**2 - 867*y + 94. Let g(w) = 0. Calculate w.
-17
Let l = -37 + 33. Let r(s) = -2*s**2 - 4*s - 5. Let t(h) = -4*h + 0*h - 7 - 2*h**2 + 1. Let u(n) = l*r(n) + 3*t(n). Suppose u(c) = 0. Calculate c.
-1
Let c = -56 + 52. Let t(q) = 4*q**3 - 2 + 0*q - q**4 + 3*q**4 - 8*q. Let n(x) = 2*x**4 + 4*x**3 - 9*x - 2. Let o(a) = c*n(a) + 5*t(a). Factor o(r).
2*(r - 1)*(r + 1)**3
Factor 225*i**2 + 16*i**4 + 0 + 0*i + 285/2*i**3 + 1/2*i**5.
i**2*(i + 2)*(i + 15)**2/2
Let y = -64 - -2. Let n = y + 62. Find b, given that 0*b**2 + 0*b - 1/2*b**3 + n = 0.
0
Suppose -2*c - c = 75. Let a(k) = -k**3 - 25*k**2 - 3*k - 73. Let o be a(c). Let 3/4*i**5 + 1/2*i**4 - 9/4*i**3 + 0 - 3*i**o - i = 0. Calculate i.
-1, -2/3, 0, 2
Let x(v) be the second derivative of -v**7/168 + v**6/40 + 7*v**5/80 - 9*v**4/16 + 3*v**3/4 - 6*v - 49. Let x(j) = 0. What is j?
-3, 0, 1, 2, 3
Let q(c) = 3*c**5 + 58*c**4 + 4*c**3 - 4*c + 4. Let y(r) = -2*r**5 - 58*r**4 - 3*r**3 + 3*r - 3. Let k(d) = -6*q(d) - 8*y(d). Factor k(t).
-2*t**4*(t - 58)
Let l(p) be the third derivative of p**9/15120 + p**8/1680 - 31*p**5/60 + 11*p**2. Let c(b) be the third derivative of l(b). Solve c(m) = 0.
-3, 0
Let l(h) be the third derivative of -h**7/70 - 31*h**6/120 - 83*h**5/60 - 5*h**4/24 + 25*h**3/3 + 2*h**2 - 28. Determine v so that l(v) = 0.
-5, -1, 2/3
Determine q so that q - 9/4*q**4 - 5/4*q**5 + 0 + 9/4*q**2 + 1/4*q**3 = 0.
-1, -4/5, 0, 1
Let o(m) be the third derivative of m**8/20160 + m**7/3780 - m**6/720 - m**4/8 + 13*m**2. Let f(j) be the second derivative of o(j). Factor f(z).
z*(z - 1)*(z + 3)/3
Suppose -8 = 46*u - 42*u. Let c be (4/(-30) + (-56)/(-1320))*u. Factor -4/11 - 2/11*m + c*m**2.
2*(m - 2)*(m + 1)/11
Let c(w) = -3*w**2 - 2. Let v(s) = 70*s**2 + 55*s. Let n(g) = 25*c(g) + v(g). Factor n(q).
-5*(q - 10)*(q - 1)
Let o = 548/11 + -2181/44. Find z, given that 0*z + 0 + o*z**2 = 0.
0
Let z(s) = -4*s**4 - 9*s**3 + 9*s**2 + 19*s - 9. Let g(c) = 7*c**4 + 17*c**3 - 16*c**2 - 37*c + 19. Let f(n) = 3*g(n) + 5*z(n). Let f(w) = 0. Calculate w.
-6, -2, 1
Suppose 2*a - 8 + 0 = 0. Suppose -a*w - 5*f + 4 = 1, -4*w + 13 = -5*f. Let 0 - 4/7*l**w + 0*l - 2*l**3 = 0. Calculate l.
-2/7, 0
Suppose -14 = -117*d + 220. Let m be -8*1/(-10) + 0. Suppose -m + 2/5*t**4 + 6/5*t**3 - 6/5*t + 2/5*t**d = 0. Calculate t.
-2, -1, 1
Suppose -75 = 2*s - 7*s + 4*r, -s + 15 = 3*r. Factor 15*x**5 - 33*x**5 - 12*x**3 + 6*x**5 + s*x**5.
3*x**3*(x - 2)*(x + 2)
Factor 8/7*v**2 - 58/7*v + 60/7.
2*(v - 6)*(4*v - 5)/7
Let r = 12994/341 + -1170/31. Let 0 + r*l + 2/11*l**2 = 0. What is l?
-2, 0
Let u be 2/(-8) - (-18)/8. Let d be u/(-4*(-1)/8). Factor -27*c**3 + 5*c**3 - 2 + 18*c**2 + d*c**3 + 2*c.
-2*(c - 1)*(3*c - 1)*(3*c + 1)
What is c in -8/5*c + 0*c**3 - 3/5 - 6/5*c**2 + 1/5*c**4 = 0?
-1, 3
Suppose 5*p + z - 58 = 0, 3*p - 7*p + z = -41. Factor 2*u - 3*u**3 + u**2 - 3*u**5 - 7*u**5 + p*u**5 - u**4.
u*(u - 2)*(u - 1)*(u + 1)**2
Let r(p) = -75*p**2 - 2*p - 2. Let s be r(-1). Let a = -72 - s. Factor 4/5*d**a - 4/5*d**2 + 0 - 8/5*d.
4*d*(d - 2)*(d + 1)/5
Let r(n) be the first derivative of n**7/2520 - 7*n**6/2160 + 7*n**5/720 - n**4/72 + 17*n**3/3 - 23. Let x(g) be the third derivative of r(g). Factor x(l).
(l - 2)*(l - 1)*(2*l - 1)/6
Let v(q) be the second derivative of 1/6*q**3 + 10*q - q**2 + 1/12*q**4 + 0. Find l, given that v(l) = 0.
-2, 1
Let f be ((-66)/(-12) + -3)*6/5. Suppose -2*l - 3*w = -4, l + f = -w + 5. Factor -1/2*q**l - 1 - 3/2*q.
-(q + 1)*(q + 2)/2
Let o = 46 + -39. Suppose -o = -3*n - 1. Suppose -3/5*p**4 + 0*p**n + 0*p + 0 + 3/5*p**5 + 0*p**3 = 0. Calculate p.
0, 1
Suppose -c = -6 + 2. Let -3*x**2 - 52 + 11*x**2 - 4*x**c + 48 = 0. What is x?
-1, 1
Factor 4/3*z + 2 + 2/9*z**2.
2*(z + 3)**2/9
Suppose -i + 4*i + 4*n = 4, -1 = -5*i - n. Suppose 6 = u + 3*v - i, 1 = u - 2*v. Factor 0*r - 2/5*r**u + 1/5*r**2 + 0.
-r**2*(2*r - 1)/5
Suppose 2*v - v - 2 = 0. Let -15*t - 2*t**v + 9*t + 3*t**2 + 9*t = 0. Calculate t.
-3, 0
Let x(r) be the third derivative of -r**6/285 - 89*r**5/570 + 35*r**4/114 + 23*r**3/57 + 4*r**2 + 4*r. Suppose x(s) = 0. Calculate s.
-23, -1/4, 1
Suppose -19*h + 11*h = -376. Let y = -47 + h. Let -8/9*p**4 + y + 2/9*p**5 + 8/9*p**2 - 8/9*p + 2/3*p**3 = 0. Calculate p.
-1, 0, 1, 2
Let w(s) = -8*s**4 - 46*s**3 + 212*s**2 - 293*s + 120. Let x(t) = 65*t**4 + 370*t**3 - 1695*t**2 + 2345*t - 960. Let d(b) = 25*w(b) + 3*x(b). Factor d(c).
-5*(c - 2)*(c - 1)**2*(c + 12)
Let k(f) be the first derivative of -f**3 - 39*f**2/2 + 42*f - 15. Let b be k(-14). Determine g so that 0*g + b*g**3 + 4/5 - 8/5*g**2 + 4/5*g**4 = 0.
-1, 1
Let m be (-2)/(-7) - (-6)/(-21) - -4. What is r in 26*r**2 + 6*r**3 - m*r - 6*r**2 - 4*r**2 - 14*r**2 - 2*r**5 - 2*r**4 = 0?
-2, -1, 0, 1
Let q(c) = c**2 + 30*c + 106. Let d be q(-26). Let g be (-4)/24*(-2)/1. Factor g + f**d + f + 1/3*f**3.
(f + 1)**3/3
Let r(p) = p**3 + p**2 - 3*p + 4. Let m be r(4). Let x be 4 + m/(-20) - (-6)/15. Factor -4/5*z**2 + 2/5*z**3 - 2/5*z + x.
2*(z - 2)*(z - 1)*(z + 1)/5
Let b be (25/50)/((-11)/(-4)). Find h, given that 0 + 4/11*h - 4/11*h**3 + b*h**2 - 2/11*h**4 = 0.
-2, -1, 0, 1
Let p(b) = 7*b**2 + 86*b - 358. Let j(t) = -29*t**2 - 352*t + 1431. Let x(z) = -2*j(z) - 9*p(z). Let x(l) = 0. Calculate l.
-18, 4
Let 5 - 1/3*b**2 + 2/3*b = 0. Calculate b.
-3, 5
Suppose -97*d - 28 + 7/2*d**2 = 0. What is d?
-2/7, 28
Let z(b) be the first derivative of 2*b**3/15 - 12*b**2/5 - 26*b/5 - 120. Factor z(a).
2*(a - 13)*(a + 1)/5
Let b(l) = -35*l**2 - 755*l + 815. Let p(s) = -3*s**2 - 63*s + 68. Let c(y) = 2*b(y) - 25*p(y). Solve c(g) = 0.
-14, 1
Let q(j) = j**3 - 13*j**2 + 4*j + 3. Let k(g) = g**3 - g**2 - 1. Let x(c) = -c**2 - 2*c - 2. Let y be x(-3). Let i(d) = y*k(d) + q(d). Let i(p) = 0. What is p?
-2, -1, 1
Let c(t) be the third derivative of 0*t**3 + 1/8*t**6 + 4*t**2 + 0 + 0*t + 1/4*t**4 - 11/20*t**5. Factor c(r).
3*r*(r - 2)*(5*r - 1)
Suppose 2*p - 44 = 2*y - 0*p, 5*p - 60 = 3*y. Let t = 27 + y. Let -2/13*i - 2/13*i**t + 0 = 0. What is i?
-1, 0
Let x be ((-278)/(-18) - 2) + -4. Let q = x + -9. Suppose 2/9 + q*o + 2/9*o**2 = 0. What is o?
-1
Suppose -2*g + 17 = -51. Suppose -g = -8*p - 10. Find k, given that 0*k + 3/7*k**p - 3/7*k**2 + 0 = 0.
0, 1
Let y(x) be the second derivative of -5*x**4/24 - 50*x**3 - 4500*x**2 + 16*x + 5. Factor y(i).
-5*(i + 60)**2/2
Let y(z) be the third derivative of -z**7/3780 - z**6/4320 + 7*z**4/24 + 3*z**2. Let d(i) be the second derivative of y(i). Factor d(f).
-f*(4*f + 1)/6
Let c(g) be the first derivative of 7 - 1/2*g**2 + 1/2*g + 1/6*g**3. Factor c(r).
(r - 1)**2/2
Let m(w) be the first derivative of -w**7/63 - w**6/135 + w**5/45 - 6*w + 3. Let z(s) be the first derivative of m(s). Factor z(x).
-2*x**3*(x + 1)*(3*x - 2)/9
Let w(b) be the second derivative of b**7/168 + b**6/72 - b**5/24 - 5*b**4/24 + 7*b**3/6 - 2*b. Let f(d) be the second derivative of w(d). Factor f(k).
5*(k - 1)*(k + 1)**2
Suppose 10 + 7 = -i - 5*h, 3*i + 5*h = -11. Suppose a = -0*a + 3. Factor -29*q**3 + 8*q**2 + 32*q**a + 6*q + q**2 + i*q + 3.
3*(q + 1)**3
Let c(t) be the second derivative of t**5/140 + 53*t**4/14 + 5618*t**3/7 + 595508*t**2/7 + 353*t. Find a such that c(a) = 0.
-106
Let j be (-18)/12*(-4)/6. Let m be (j + 0)/((-2)/(-6)). Factor 11*s - 5*s**3 + 0*s**2 - m - 6*s + 4 - s**2.
-(s - 1)*(s + 1)*(5*s + 1)
Let r = 656 + -653. Let q(n) be the second derivative of 0 + 0*n**4 + 8*n + 0*n**2 + 1/80*n**5 - 1/168*n**7 + 0*n**r + 0*n**6. Factor q(g).
-g**3*(g - 1)*(g + 1)/4
Let n be 1/(-2)*-42*1. Solve -2*b**4 - 2*b + 5*b + n*b + 5*b**4 - 6*b**3 - 12 - 9*b**2 = 0 for b.
-2, 1, 2
Determine u, given that 50/9*u**3 - 2/9*u**4 + 10/9*u**2 - 8/9 - 10/9*u**5 - 40/9*u = 0.
-2, -1, -1/5, 1, 2
Let o(g) be the second derivative of g**6/105 - 11*g**5/70 + 10*g**4/21 + 32*g**3/21 - 127*g - 1. Factor o(h).
2*h*(h - 8)*(h - 4)*(h + 1)/7
Let p be ((-24)/(-39))/4 + 1264/(-104). 