x + 1)/3
Let o(v) = 4*v - 1. Let x(w) = -3*w**3 + 72*w**2 + 75*w - 90. Let n(s) = -18*o(s) + x(s). Factor n(f).
-3*(f - 24)*(f - 1)*(f + 1)
Let s(v) be the first derivative of -4*v**4 + 4*v**3 - 2*v**4 + 5*v**4 - 4*v**2 - 22. Factor s(c).
-4*c*(c - 2)*(c - 1)
Suppose 19*z = -3*d + 14*z + 21, -4*z + 20 = 4*d. Factor 19 + d*v**2 - 5*v + v**2 - 25*v + 8.
3*(v - 9)*(v - 1)
Let s = 19/35 + -3/70. Let g(n) be the second derivative of s*n**4 + 0 - 12*n - 3/20*n**5 + 0*n**2 + 0*n**3. Solve g(u) = 0.
0, 2
Suppose -3*s**4 - 15 + 17*s**3 + 1/6*s**5 + 83/2*s - 122/3*s**2 = 0. Calculate s.
1, 3, 10
Let w be (-40)/(35 + -55) + (-12)/7. Solve -1/7 + 0*i**3 - 1/7*i**4 + 0*i + w*i**2 = 0.
-1, 1
Let r(j) be the third derivative of 0 - 13/40*j**4 + 1/5*j**3 + 45*j**2 + 0*j + 3/50*j**5. Factor r(f).
3*(f - 2)*(6*f - 1)/5
Let o(m) be the third derivative of 0*m + 0*m**3 - 5*m**2 + 0 + 1/144*m**4 + 1/360*m**5. Factor o(l).
l*(l + 1)/6
Let j be 9*((-793)/(-78) + -10). Let w = 115/2 + -56. Factor 0 + 0*q + w*q**3 - j*q**2.
3*q**2*(q - 1)/2
Let q(v) = -17*v + 10. Let n(j) = 17*j - 13. Let f(u) = -3*n(u) - 2*q(u). Let a be f(1). Factor -3/2*l**a + 9/4*l + 3/2.
-3*(l - 2)*(2*l + 1)/4
Let m(g) be the second derivative of -10*g**7/147 - 8*g**6/35 + 41*g**5/35 + 4*g**4/3 - 24*g**3/7 - 32*g**2/7 - 3*g + 77. Determine x, given that m(x) = 0.
-4, -1, -2/5, 1, 2
Let s(c) be the first derivative of c**3/15 - c**2/10 - 4*c + 76. Factor s(w).
(w - 5)*(w + 4)/5
Suppose 10*g + 48*g**2 - 149*g**4 - 2*g - 22*g**5 + 101*g**4 + 14*g**3 = 0. What is g?
-2, -1, -2/11, 0, 1
Let v(b) be the first derivative of -b**5 - 16 + 5*b**2 - 5/2*b**4 + 5/3*b**3 + 0*b. Factor v(h).
-5*h*(h - 1)*(h + 1)*(h + 2)
Let g(z) = -2*z**2 + 10*z + 4. Let o(q) = -q**2 + q. Let r = -61 + 62. Let p(l) = r*g(l) - 4*o(l). Factor p(u).
2*(u + 1)*(u + 2)
Factor 144/13 - 2/13*i**2 - 68/13*i.
-2*(i - 2)*(i + 36)/13
Let x be (-3)/2 - (-30)/20. Let t(s) be the first derivative of 7 + x*s + s + 2*s - s**3. Let t(d) = 0. Calculate d.
-1, 1
Suppose 4*q + 2*o = 3*o + 5, 0 = 3*q - 2*o. Factor 6*i - 3 - i**2 + q*i**2 - 19*i + 11*i.
(i - 3)*(i + 1)
Let w(l) = -l**2 + 7*l - 5. Let t be w(5). Suppose 3*f = t*d, -3*d - 2*f = -f. Let 3/4 + d*x - 3/4*x**2 = 0. What is x?
-1, 1
Let d = 44 - 23. Suppose 0 = -15*k + d*k - 24. Suppose -2/3*b**k + 0 + 0*b + 0*b**2 + 0*b**3 = 0. What is b?
0
Let l(f) = -f**3 - f**2. Let m(a) be the first derivative of -25*a**6/6 - 8*a**5 + 15*a**4/4 + 10*a**3 + 1. Let o(p) = 20*l(p) + m(p). Factor o(j).
-5*j**2*(j + 1)**2*(5*j - 2)
Let q(a) = a**3 - 8*a**2 - 10*a + 10. Let n be q(9). Factor 5 - 11*s**2 + 14 - 20*s + n + 16*s**2.
5*(s - 2)**2
Let g(f) be the second derivative of -f**6/45 - f**5/2 - 11*f**4/3 - 116*f**3/9 - 24*f**2 + 240*f. Find b, given that g(b) = 0.
-9, -2
Let v = -3 + 7. Suppose 13*c - 43 + 43 = 0. Factor 6*f**3 - 6*f**2 + c*f - 3/2*f**v + 0.
-3*f**2*(f - 2)**2/2
Let o(h) = -h**3 - h**2 - h - 1. Suppose -4*u + 60 = 6*u. Let a(x) = -4*x**3 - 12*x**2 - 8. Let y(f) = u*o(f) - a(f). Factor y(m).
-2*(m - 1)**3
Let t(q) be the third derivative of q**8/672 - q**7/14 + 251*q**6/240 - 181*q**5/60 - 21*q**4/4 + 98*q**3/3 - q**2 + 151*q. Suppose t(k) = 0. What is k?
-1, 1, 2, 14
Let l(f) = -40*f**2 + 24*f + 11. Let k(z) = 60*z**2 - 36*z - 17. Let p be ((-4)/(-4) - -6)*1. Let n(a) = p*l(a) + 5*k(a). Solve n(q) = 0.
-2/5, 1
Let q(l) be the third derivative of -l**6/60 + 3*l**5/10 - 2*l**4 + 16*l**3/3 - 2*l**2 - 88. Find f such that q(f) = 0.
1, 4
Let y(d) be the third derivative of 7*d**6/40 + d**5/10 - 2*d**2 - 142*d. Factor y(q).
3*q**2*(7*q + 2)
Let u(f) be the second derivative of 2*f**6/35 - f**5 + 22*f**4/21 + 13*f. Determine j so that u(j) = 0.
0, 2/3, 11
Let p(a) be the third derivative of -a**7/1365 + a**6/60 - 4*a**5/39 + 3*a**4/13 - 2*a**2 + 235*a. Solve p(h) = 0 for h.
0, 2, 9
Let s(d) = 2*d**2 - 6*d - 5. Let i(z) = -3*z**2 + z - 1. Let q(u) = 2*i(u) + 2*s(u). Factor q(h).
-2*(h + 2)*(h + 3)
Let h(u) = 9*u**5 + 12*u**4 + 12*u**2 - 9*u - 6. Let c(i) = 8*i**5 + 11*i**4 + 9*i**2 - 8*i - 5. Let t(s) = -6*c(s) + 5*h(s). Factor t(f).
-3*f*(f - 1)*(f + 1)**3
Let f(n) = n**4 - 16*n**3 + 12*n**2 + 35*n - 32. Let c(x) = -x**4 + 24*x**3 - 18*x**2 - 53*x + 48. Let s(v) = -5*c(v) - 7*f(v). Factor s(l).
-2*(l - 1)**2*(l + 2)*(l + 4)
Let t(l) be the first derivative of -2 + 0*l**2 + 0*l**4 + 0*l + 0*l**3 + 2/5*l**5. Solve t(k) = 0 for k.
0
Let c = 71 - 47. Let g = c + -21. Determine s, given that 4/5*s**4 + 0 + 0*s + 2/5*s**2 + 6/5*s**g = 0.
-1, -1/2, 0
Find n, given that -1/8*n**3 - 7/2*n - 5/4*n**2 - 3 = 0.
-6, -2
Let i(j) = -10*j**2 + 10*j. Let r(h) be the third derivative of -3*h**5/20 + 3*h**4/8 + 8*h**2. Let n(s) = 4*i(s) - 5*r(s). Find c, given that n(c) = 0.
0, 1
Suppose -6483584/7*u**3 - 7992/7*u - 394272/7*u**2 - 54/7 = 0. What is u?
-3/148
Suppose -x + 2 = -0. Factor -20*p**3 + 421*p**4 - 401*p**4 + 4*p**2 - 5*p**5 - 5*p**3 + 6*p**x.
-5*p**2*(p - 2)*(p - 1)**2
Let y(p) be the third derivative of -4*p**8/147 - 176*p**7/735 - 97*p**6/210 + 22*p**5/35 - 3*p**4/14 - 52*p**2 + 2. Solve y(m) = 0 for m.
-3, 0, 1/4
Let f = -651 - -654. Let c(w) be the second derivative of 0 + 7*w + 0*w**f + 0*w**4 + 0*w**2 + 1/7*w**7 + 1/5*w**5 - 1/3*w**6. Solve c(b) = 0 for b.
0, 2/3, 1
Let o(c) = -c**2 - 12*c - 4. Let l(x) = 3*x**2 + 19*x - 4. Let s be l(-6). Let p be o(s). Factor -p - 4*i**4 - 52*i**2 - 38*i + 24*i**3 + 112*i - 26*i.
-4*(i - 2)**2*(i - 1)**2
Let r(l) be the third derivative of l**8/10080 - l**7/630 + l**6/90 + 5*l**5/12 + 22*l**2. Let p(x) be the third derivative of r(x). Find n such that p(n) = 0.
2
Suppose -8*f = -3*f - 5. Let i(n) = n**3 - n**2 - n + 1. Let t(a) = 4*a**3 + 2*a**3 + 4*a + 5 - 8*a - 2*a**2 - 5*a. Let j(u) = f*t(u) - 5*i(u). Solve j(o) = 0.
-4, 0, 1
Let o(z) be the third derivative of 0*z**4 + 1/20*z**5 + 0*z**3 + 0 + 34*z**2 + 0*z. Let o(b) = 0. What is b?
0
Let o = 138/269 + 53386/807. Find f, given that 38/3*f**2 - o - 160/3*f - 2/3*f**3 = 0.
-1, 10
What is m in -9 + 13/4*m - 1/4*m**2 = 0?
4, 9
Let i(s) = -6*s**3 + 12*s**2 - 18*s + 12. Let b(a) = 8*a**3 - 13*a**2 + 17*a - 12. Let p(d) = 4*b(d) + 5*i(d). Factor p(r).
2*(r - 1)**2*(r + 6)
Find d such that -12*d**3 + 194/3*d**2 + 2/3*d**4 + 128/3 - 96*d = 0.
1, 8
Factor -2/7*v**2 - 32/7 + 34/7*v.
-2*(v - 16)*(v - 1)/7
Let u(g) = -9*g**4 - 17*g**3 - 5*g**2 + 5*g. Let z(q) = 12*q**4 + 25*q**3 + 7*q**2 - 7*q. Let t(w) = -7*u(w) - 5*z(w). Factor t(b).
3*b**3*(b - 2)
Let c be (2/(-200))/(24/(-20)). Let b(a) be the third derivative of c*a**5 + 1/6*a**4 + 2*a**2 + 0 + 4/3*a**3 + 0*a. Suppose b(n) = 0. What is n?
-4
Factor 295*p**2 + 1190*p**2 - 13310 - 3025*p - 155*p**3 + 8*p**4 - 3*p**4.
5*(p - 11)**3*(p + 2)
Let k(v) be the second derivative of 1/54*v**4 + 0 + 0*v**3 + 0*v**2 - 7*v - 2/45*v**5. Factor k(n).
-2*n**2*(4*n - 1)/9
Let u(n) be the second derivative of 11*n**6/120 - 41*n**5/80 + 2*n**4/3 + n**3/2 - 169*n. Factor u(p).
p*(p - 2)**2*(11*p + 3)/4
Solve -2/11*c**3 - 144/11*c**2 - 27648/11 - 3456/11*c = 0.
-24
Let d = 2467/12345 + 2/12345. Determine y so that 4/5*y + d*y**2 + 0 = 0.
-4, 0
Suppose -11*l + 5*m - 27 = -12*l, m - 11 = -3*l. Factor -3/4*o**l - 9/4*o - 3/2.
-3*(o + 1)*(o + 2)/4
Let v be 1/3 + (-60)/(-9). Suppose -4*d + 12 = 2*m, -d - d - 2*m + 6 = 0. What is g in -11*g**2 + v*g**2 + 3 - 4 - g**d - 1 - 5*g = 0?
-2, -1
Let l(f) be the third derivative of f**5/60 - 3*f**4/8 + 4*f**3/3 + 213*f**2. Determine p, given that l(p) = 0.
1, 8
Let k be ((-8)/14)/(6/(-21)). Suppose 4 = -i + 2*d, 5*i + k*d + 0 = 40. Let 8*r + 24*r**2 - i*r**4 - 12*r**3 + 3*r**3 + 3*r**5 - 20*r = 0. Calculate r.
-2, 0, 1, 2
Let t(h) be the second derivative of 2*h**6/195 - h**5/130 - h**4/6 - 2*h**3/13 + 51*h. Let t(x) = 0. Calculate x.
-2, -1/2, 0, 3
Let g(m) be the first derivative of -m**5/25 + 17*m**4/20 + 19*m**3/15 - 17*m**2/10 - 18*m/5 - 374. Solve g(h) = 0.
-1, 1, 18
What is o in 0*o**2 + 0*o**4 - 1/7*o**5 + 1/7*o**3 + 0 + 0*o = 0?
-1, 0, 1
Let i(n) be the third derivative of 0*n - 1/24*n**4 + 0 - 51*n**2 + 0*n**3 - 1/120*n**5. Factor i(k).
-k*(k + 2)/2
Let z(s) = s**2 + s - 2. Let u(x) = 2*x**2 + 2*x - 4. Let i(y) = 3*u(y) - 7*z(y). Factor i(a).
-(a - 1)*(a + 2)
Let -2/3*b**5 + 14/3*b**3 + 2/3*b**2 + 0 - 2/3*b**4 - 4*b = 0. Calculate b