q such that 26 - 3*q**2 - 45*q + 5 + 21 - 4 = 0.
-16, 1
Let h(q) be the second derivative of q**7/525 - q**6/100 + q**5/50 - q**4/60 - 11*q**2/2 + 6*q. Let g(a) be the first derivative of h(a). Factor g(z).
2*z*(z - 1)**3/5
Let r(b) be the third derivative of b**7/735 - b**6/210 - 66*b**2. Factor r(m).
2*m**3*(m - 2)/7
Factor 26/7*f**2 - 26/7 - 2/7*f + 2/7*f**3.
2*(f - 1)*(f + 1)*(f + 13)/7
Let h(f) be the first derivative of 5*f**4/8 - 25*f**3/6 - 15*f**2/2 + 94. Factor h(v).
5*v*(v - 6)*(v + 1)/2
Let k be 336/147 - 2/7. Let y(j) be the first derivative of k + 0*j + 2*j**4 + 8/9*j**3 - 14/15*j**5 + 0*j**2. Factor y(c).
-2*c**2*(c - 2)*(7*c + 2)/3
Let h(u) = -u**3 - 10*u**2 - 11*u - 8. Let x be h(-9). Let k be (0 - 1)/(x/(-600)). Solve k*m**3 - 39 + 80*m**3 + 23 + 156*m**2 = 0 for m.
-1, -2/5, 2/7
Let t(j) = -3*j - 21. Let i be t(-14). Suppose -18 = -4*u - 2*w, 5*u - 3*w + 5*w = i. Solve 5*d**3 + d**2 - d**4 + 0*d - 4*d**u - 3*d + 2*d = 0 for d.
-1, 0, 1
Let j be ((-4004)/140 + 30)/(12/10). Factor 0 + j*o**2 + 1/3*o.
o*(7*o + 2)/6
Suppose z - 21 = -6. Suppose 5*u - 2*u = z. Determine o, given that -3 + 3*o + 4*o + u*o - 9*o**2 = 0.
1/3, 1
Let s(p) be the second derivative of 1/102*p**4 - 3/17*p**2 + 6*p - 2/51*p**3 + 0. Suppose s(u) = 0. Calculate u.
-1, 3
Let q = 242/29 - 668/87. Determine s, given that 7/6*s - q*s**2 + 1/3 = 0.
-1/4, 2
Let s be (-146)/(-105) + (-122)/2135. Let l be 2/(-6) + 14/6. Find a, given that 29/3*a**l - 4/3 - 7*a**3 - s*a = 0.
-2/7, 2/3, 1
Let v(m) be the third derivative of -14*m**2 + 0*m + 1/480*m**6 - 1/16*m**5 + 0 - 125/24*m**3 + 25/32*m**4. Factor v(d).
(d - 5)**3/4
Factor 33*m**3 + 3*m**4 - 2*m**5 + 18*m**3 - 64*m**2 - 75*m**3 + 5*m**4 + 128*m + 4*m**5.
2*m*(m - 2)**2*(m + 4)**2
Let q(a) be the second derivative of a**5/360 - a**4/36 + a**3/12 - 21*a**2/2 + 11*a. Let g(j) be the first derivative of q(j). Factor g(z).
(z - 3)*(z - 1)/6
Let j be ((-23)/(-66))/1 - (-50)/(-150). Let b(m) be the second derivative of 0*m**3 + 0*m**2 + 7*m + j*m**4 + 0. Factor b(q).
2*q**2/11
Let 0 - 46/11*s**2 - 8/11*s = 0. Calculate s.
-4/23, 0
Let a(j) = j**2 + 7*j - 44. Suppose 8*i + 8*i = 64. Let h be a(i). Factor 4/13*n**2 + 6/13*n**3 + 0*n**4 - 2/13*n**5 + h*n + 0.
-2*n**2*(n - 2)*(n + 1)**2/13
Let c(z) = z - 24 + z**2 - z**2 + 21 + 4*z**2. Let o(a) = 12*a**2 - 13 + 4*a + 5*a**2 + 0*a. Let v(u) = -26*c(u) + 6*o(u). Determine f, given that v(f) = 0.
-1, 0
Let l(h) be the third derivative of h**5/15 - 14*h**4/3 + 392*h**3/3 - 127*h**2. Solve l(i) = 0 for i.
14
Factor 14/5*f**3 - 72/5*f**2 - 1/5*f**4 + 32*f - 128/5.
-(f - 4)**3*(f - 2)/5
Let l(z) = -z**2 - z + 1. Let s(t) = 8*t**2 - 102*t + 1452. Let p(o) = 6*l(o) + s(o). What is c in p(c) = 0?
27
Let o(l) be the third derivative of 0*l**5 - 8/105*l**7 + 0*l**4 + 2/15*l**6 + 1/84*l**8 + 0*l**3 + 4*l**2 + 0*l + 0. Factor o(b).
4*b**3*(b - 2)**2
Let x = 5 - 14. Let o = 37 + x. Suppose -8*d - 1 + 9*d**3 + 1 + o*d**2 + 27*d**3 = 0. What is d?
-1, 0, 2/9
Let b(v) be the first derivative of -3*v**4/4 + 37*v**3 - 540*v**2 + 972*v + 176. Factor b(r).
-3*(r - 18)**2*(r - 1)
Let d = -738 - -743. Find h, given that 0*h + 0 - 6/5*h**3 + 2/5*h**2 + 6/5*h**4 - 2/5*h**d = 0.
0, 1
Let q = -16 - -18. Factor -124*d + 94*d + 26*d**2 + 2 + q.
2*(d - 1)*(13*d - 2)
Let b be 1*(-4 - (-4 - 0)). Factor 4*o**4 + 2*o**3 - 14*o**3 + b*o**3.
4*o**3*(o - 3)
Let u(q) be the first derivative of -3 + 0*q - 5/11*q**2 - 2/33*q**3. Factor u(s).
-2*s*(s + 5)/11
Suppose -33*z + 99 = 58*z - 83. Factor 13*s - 169/2 - 1/2*s**z.
-(s - 13)**2/2
Factor 37*t + 67*t + t**2 - 94*t.
t*(t + 10)
Let j(p) = p**2 + 22*p + 116. Let g be j(-8). Factor -6/5*i**2 + 7/5*i**g - 1/5 + 2/5*i**3 - i + 3/5*i**5.
(i - 1)*(i + 1)**3*(3*i + 1)/5
Let k(t) = -t**4 - 4*t**2 - 8. Let d(b) = -b**2. Let s(h) = -6*d(h) + k(h). Let v(i) be the first derivative of s(i). Factor v(f).
-4*f*(f - 1)*(f + 1)
Factor 0 + 0*w - 64/13*w**3 - 2/13*w**2.
-2*w**2*(32*w + 1)/13
Suppose -3*n = 4*d - 0*n + 4, 4*d = -2*n. Suppose -9 = -6*y + 3*y. Determine v, given that 6*v**4 + 10*v**y + 3*v**4 + 2*v**3 - 6*v**d - 3 - 2*v - 10*v = 0.
-1, -1/3, 1
What is u in 7*u**4 - 5*u**3 - 17*u**3 + 6*u**4 - 11*u**4 + 20*u**2 = 0?
0, 1, 10
Let m(y) = -6*y**2 + 31*y - 329. Let o(b) = 5*b**2 - 32*b + 328. Let n(h) = 4*m(h) + 5*o(h). Solve n(t) = 0 for t.
18
Let y(p) be the third derivative of 2*p**7/735 + p**6/42 + 3*p**5/35 + p**4/6 + 4*p**3/21 + p**2 + 5*p. Factor y(q).
4*(q + 1)**3*(q + 2)/7
Suppose 3*z + 84 = -2*q, -z = 8*q - 3*q + 15. Let f be (1/(-10))/(10/z). Find r such that 1/10*r - 3/10*r**2 - 1/10*r**3 + f = 0.
-3, -1, 1
Let j(i) be the third derivative of 0*i**5 - 4*i**2 + 0 - 1/8*i**3 + 0*i + 1/80*i**6 - 1/16*i**4 + 1/280*i**7. Solve j(o) = 0 for o.
-1, 1
Let b(j) = 2*j + 3. Let x be b(-1). Factor -10*c + 39*c**2 - x + 5 - 31*c**2 - 2*c**3.
-2*(c - 2)*(c - 1)**2
Factor 9 - 30/7*y + 3/7*y**2.
3*(y - 7)*(y - 3)/7
Let d = -305 - -308. Let s(r) be the first derivative of -3/10*r**5 - 3/4*r**4 + 3/2*r**3 + d*r**2 - 6*r + 1. Solve s(c) = 0 for c.
-2, 1
Let r(b) be the second derivative of b**6/900 - b**5/60 + b**4/15 - 5*b**3/2 - 3*b. Let j(q) be the second derivative of r(q). Factor j(c).
2*(c - 4)*(c - 1)/5
Let x(k) = 22*k + 18*k - 55*k - 7 + 14*k + 3*k**2. Let s(t) = 2*t**2 - 6. Suppose 3*c + 4 - 19 = 0. Let i(h) = c*s(h) - 4*x(h). Suppose i(a) = 0. Calculate a.
1
Suppose -272 = -33*c - 206. Let 2/5*t**c + 0 + 1/5*t**4 + 0*t + 3/5*t**3 = 0. Calculate t.
-2, -1, 0
Let i(d) = 5*d**2 - 3*d + 7. Let r(m) = -2*m**2 + 2*m - 1. Let f(z) = -5*i(z) - 15*r(z). Factor f(j).
5*(j - 4)*(j + 1)
Let a(p) be the second derivative of 5*p**7/42 - 2*p**6/3 + 5*p**5/4 - 5*p**4/6 + 103*p. Find m such that a(m) = 0.
0, 1, 2
Factor 2/5*b**2 + 348/5 + 178/5*b.
2*(b + 2)*(b + 87)/5
Let c(w) = w**3 - w - 1. Let z(u) = -2*u**4 - 13*u**3 - 10*u**2 + u + 5. Let x = -6 + 11. Suppose x*r = 6*r - 1. Let t(n) = r*z(n) + 5*c(n). Factor t(g).
-2*g*(g + 1)**2*(g + 2)
Let a(f) be the third derivative of f**9/80640 - f**8/13440 + 17*f**5/60 + 14*f**2. Let r(s) be the third derivative of a(s). Factor r(z).
3*z**2*(z - 2)/4
Let v(z) be the first derivative of -z**5/20 + 5*z**4/16 + z**3/4 - 17*z**2/8 + 5*z/2 - 113. Factor v(t).
-(t - 5)*(t - 1)**2*(t + 2)/4
Factor 14 + 89 + 53 - p**2 + 76*p.
-(p - 78)*(p + 2)
Let a(q) = q**2 - 278*q + 4. Let r be a(0). Determine o so that 0*o - 3/5*o**3 - 2/5*o**2 - 1/5*o**r + 0 = 0.
-2, -1, 0
Suppose -7*l - l = -2*l. Factor l*p - 2 + 9*p**2 + 2*p**4 + 10*p**3 + 6 + 9*p**2 + 14*p.
2*(p + 1)**3*(p + 2)
Let i(a) be the third derivative of -a**6/140 + 9*a**5/35 + a**4/28 - 18*a**3/7 + 39*a**2 + 2*a. Factor i(r).
-6*(r - 18)*(r - 1)*(r + 1)/7
Let w(c) be the first derivative of 81*c**4/14 - 300*c**3/7 - 212*c**2/7 - 48*c/7 - 17. Factor w(i).
2*(i - 6)*(9*i + 2)**2/7
Let 0 + 0*s - 2/9*s**2 = 0. Calculate s.
0
Factor -128 - o**2 + 108 + 6*o**2.
5*(o - 2)*(o + 2)
Let g(t) be the first derivative of -t**6/810 + t**5/54 - 29*t**3/3 - 25. Let j(u) be the third derivative of g(u). Factor j(x).
-4*x*(x - 5)/9
Let l(b) be the second derivative of b**5/35 - 4*b**4/21 + 2*b**3/7 + 3*b + 1. Solve l(y) = 0.
0, 1, 3
Let r = -11 + 13. Suppose 0 = -4*n + f + 27, 4*n = -r*f - f + 47. Let -n*s + 6 - 3 - 3 + 16*s**2 + 1 = 0. Calculate s.
1/4
Let d(b) be the third derivative of 37/15*b**5 + 2/105*b**7 + 0 - 31*b**2 + 0*b + 1/3*b**6 + 24*b**3 + 10*b**4. Find j, given that d(j) = 0.
-3, -2
Suppose -2 = -2*p - 4*k, p + 0*k - k - 1 = 0. Let j = 1 + p. Determine q so that -8 - j*q**4 - 15*q**4 - 9*q**3 + 21*q**5 - 2*q - 10*q - 33*q**4 + 58*q**2 = 0.
-1, -2/7, 2/3, 1, 2
Suppose -5*r + 2*r + 27 = 0. Let -r*h**3 + 7*h**5 - 10*h**5 - 4*h**2 + 12*h - 8*h**2 - 5*h**4 + 17*h**4 = 0. Calculate h.
-1, 0, 1, 2
Find y, given that -1/3*y**3 - 1/9*y**5 - 23/9*y**2 + 7/9*y**4 + 32/9*y - 4/3 = 0.
-2, 1, 6
Let c be (-4)/(10 - (-136)/(-12)). Determine n so that -c*n**2 + 0*n - 3/2*n**3 + 0 = 0.
-2, 0
Suppose 3*g - 82 = 2*p + 4*g, 5*p = 4*g - 218. Let j be (-24)/p + (-246)/(-231). Let -14/11*v**3 + j*v**2 - 4/11*v + 0 = 0. What is v?
0, 2/7, 1
Factor 96*k**3 - 9 + 3*k**4 - 3 - 96*k + 12 + k**2 - 4*k**2.
3*k*(k - 1)*(k + 1)*(k + 32)
Let a be 12*(-1*3 - 247/(-76)). Let v(p) be the third derivative of 0*p**a - 3*p**2 - 1/4*p