2
Let i be 3*(448/(-228))/(-14). Determine f, given that i + 104/19*f + 338/19*f**2 = 0.
-2/13
Let b(u) = u + 4 - 3 - 3*u + 8*u - 11*u**2 - u**3. Let w(y) = 3*y**3 + 27*y**2 - 15*y - 3. Let f(t) = -12*b(t) - 5*w(t). What is q in f(q) = 0?
-1, 1
Let x(a) = -2*a**3 - 54*a**2 + 14*a + 7. Let c(j) = -j**3 - 52*j**2 + 12*j + 6. Let i(z) = 7*c(z) - 6*x(z). Factor i(g).
5*g**2*(g - 8)
Let j(m) be the first derivative of -14*m**3/9 - 12*m**2 - 10*m/3 + 19. Factor j(w).
-2*(w + 5)*(7*w + 1)/3
Suppose -56 = -n - 50, -5*q + 2*n = -3. Factor -1/8*p - 3/4 + 3/4*p**2 + 1/8*p**q.
(p - 1)*(p + 1)*(p + 6)/8
Let i(k) be the third derivative of k**9/98280 - k**7/8190 + k**5/780 - 2*k**4/3 + 21*k**2. Let f(w) be the second derivative of i(w). Factor f(h).
2*(h - 1)**2*(h + 1)**2/13
Factor -56/9*g**2 + 25/9*g**3 + 4/9*g + 0 + 3*g**4.
g*(g - 1)*(g + 2)*(27*g - 2)/9
Let j(u) be the first derivative of -u**7/980 - u**6/210 + 5*u**3/3 + 10. Let x(l) be the third derivative of j(l). Suppose x(i) = 0. What is i?
-2, 0
Let g be ((-6)/(-10))/((-15)/20) - 1333/(-1085). Find k, given that -27/7 + g*k**2 + 24/7*k = 0.
-9, 1
Let j(p) be the first derivative of -3*p**5/20 - 27*p**4/8 - 17*p**3/4 + 83. Factor j(c).
-3*c**2*(c + 1)*(c + 17)/4
Factor 24/7*j**2 - 8/7*j - 32/7 + 2*j**3 + 2/7*j**4.
2*(j - 1)*(j + 2)**2*(j + 4)/7
Let o(q) be the first derivative of 2*q**5/25 + 3*q**4/5 + 14*q**3/15 - 6*q**2/5 - 16*q/5 + 114. Determine y so that o(y) = 0.
-4, -2, -1, 1
Let h = -6686/9 - -743. Let f(s) be the first derivative of 6 + h*s**3 - 1/6*s**4 + 1/6*s**2 + 0*s. Factor f(o).
-o*(o - 1)*(2*o + 1)/3
Let t(r) = -10*r**2 + 135*r - 125. Let p(j) = -9*j**2 + 134*j - 125. Let d(n) = -5*p(n) + 4*t(n). Factor d(l).
5*(l - 25)*(l - 1)
Let r be (-2)/(-32)*-2*112/(-504). Let f(x) be the first derivative of 1/6*x**4 - 5/12*x**2 + 3 - 1/9*x**3 + 2/15*x**5 + r*x**6 - 1/3*x. Factor f(z).
(z - 1)*(z + 1)**3*(z + 2)/6
Suppose 10*v = 521 - 31. Suppose 0 = -48*w + v*w - 4. Suppose -22/23*u**2 - 26/23*u + 26/23*u**3 + 12/23 + 10/23*u**w = 0. Calculate u.
-3, -1, 2/5, 1
Suppose 2*u - 7 + 3 = 0. Let 2*z**2 - u - 2*z - 2*z**3 + 3*z**3 - 4*z**3 + 5*z**3 = 0. Calculate z.
-1, 1
Let o(x) be the second derivative of 3/100*x**5 + 1/20*x**4 - 1/2*x**3 + 0 + 9/10*x**2 + 27*x. Determine p so that o(p) = 0.
-3, 1
Let h(j) be the first derivative of -2/3*j - 11 + 2/3*j**2 - 2/9*j**3. Factor h(o).
-2*(o - 1)**2/3
Let d = 183 - 188. Let v be d - (-6)/12*13. Factor -1/2*n**5 - v*n**3 + 0 + 0*n + 1/2*n**2 + 3/2*n**4.
-n**2*(n - 1)**3/2
Let n(r) be the first derivative of 3*r**4/4 + 5*r**3 + 3*r**2 - 24*r - 501. What is y in n(y) = 0?
-4, -2, 1
Let o(x) be the second derivative of 10*x**2 - 3*x + 1/2*x**6 + 0 + 19/4*x**5 + 55/4*x**4 + 35/2*x**3. Factor o(l).
5*(l + 1)**2*(l + 4)*(3*l + 1)
Let j(q) = 3*q**3 + 24*q**2 + 2*q + 18. Let l be j(-8). Let i(f) be the second derivative of 0*f**l - 1/6*f**4 + 2*f + 0 - 1/5*f**5 + 1/3*f**3. Factor i(v).
-2*v*(v + 1)*(2*v - 1)
Let p(m) be the second derivative of -m**7/1680 + m**6/360 + 7*m**3/2 + 29*m. Let w(l) be the second derivative of p(l). Factor w(t).
-t**2*(t - 2)/2
Factor -6*i + 16*i + 7*i**2 - 140 - 2*i - 3*i**2 + 0*i.
4*(i - 5)*(i + 7)
Let x be ((-235)/(-235))/(2/5 - 57/(-45)). Factor 0 - 9/5*m + x*m**2.
3*m*(m - 3)/5
Let b = 7345/7 + -1049. Solve 2/7*l - b*l**3 + 4/7 - 4/7*l**2 = 0 for l.
-2, -1, 1
Let k = 71 - 59. Suppose 0 = -5*y + k - 12. Find i, given that 2/3*i**3 - 2/3*i**2 + y + 0*i = 0.
0, 1
Let i(y) = 40*y**3 - 42*y**2 + 49*y - 30. Let p(k) = 14*k**3 - 14*k**2 + 16*k - 10. Let j(f) = -6*i(f) + 17*p(f). Let j(b) = 0. What is b?
1, 5
Let p(q) be the second derivative of q**5/5 - 4*q**4/3 - 2*q**3 + 36*q**2 - 142*q. Determine v so that p(v) = 0.
-2, 3
Let h(f) be the second derivative of -f**8/700 - f**7/525 + f**6/450 + 7*f**3/3 + f. Let l(m) be the second derivative of h(m). Factor l(s).
-4*s**2*(s + 1)*(3*s - 1)/5
Let s(x) be the third derivative of x**9/1512 - x**8/420 + x**6/90 - x**5/60 - x**3/2 + 15*x**2. Let c(g) be the first derivative of s(g). Factor c(j).
2*j*(j - 1)**3*(j + 1)
Suppose 0 = -d - 3*g + 6, 6*g - 17 = -2*d + 5*g. Let k(o) be the third derivative of 0*o**3 - 1/40*o**6 + 0 + 0*o**4 + 0*o - 1/20*o**5 + d*o**2. Factor k(f).
-3*f**2*(f + 1)
Let b(j) = 7*j**3 + 13*j**2 - 124*j + 132. Let p(r) = 13*r**3 + 28*r**2 - 247*r + 264. Let u(d) = 7*b(d) - 4*p(d). Factor u(m).
-3*(m - 2)**2*(m + 11)
Let m(f) be the second derivative of -f**5/2 - 15*f**4/4 + 5*f**3 + 25*f**2/2 - 67*f. Factor m(z).
-5*(z - 1)*(z + 5)*(2*z + 1)
Let t = 45 - 43. Factor 2*b - 6*b**2 - 22*b - 2*b**4 + 4*b + 18*b**t + 6.
-2*(b - 1)**3*(b + 3)
Let q(h) be the first derivative of -h**3/12 - 37*h**2/4 + 100. Determine v, given that q(v) = 0.
-74, 0
Let b(l) be the third derivative of -l**7/5880 - l**6/560 - l**5/140 - 2*l**4/3 - l**2. Let q(j) be the second derivative of b(j). Let q(w) = 0. What is w?
-2, -1
Solve 8595 + 8599 - 5*j**2 - 17194 - 150*j = 0 for j.
-30, 0
Factor -40/3*x + 5/3*x**2 - 5/3*x**4 + 20/3 + 25/3*x**3 - 5/3*x**5.
-5*(x - 1)**3*(x + 2)**2/3
Let z be (-10)/35 + ((-37)/(-3))/((-77)/(-33)). Determine u so that 2/3 + 0*u**4 - 4/3*u**3 + u + 1/3*u**z - 2/3*u**2 = 0.
-1, 1, 2
Let i(k) be the second derivative of -k**3 - 10*k**2 + 11*k + 0 + 1/6*k**4. Determine l so that i(l) = 0.
-2, 5
Let v(b) be the first derivative of 5*b**6/6 - 2*b**5 - 5*b**4/4 + 10*b**3/3 - 40. Determine p, given that v(p) = 0.
-1, 0, 1, 2
Suppose -4*w + t + 17 = 0, 3*w - 635*t + 640*t = -16. Factor -1 - 1/4*u**w - 1/2*u**2 + 7/4*u.
-(u - 1)**2*(u + 4)/4
Let n(s) be the third derivative of s**5/120 - 10*s**4/3 + 1600*s**3/3 + 202*s**2. Factor n(i).
(i - 80)**2/2
Let n = 6850/3 + -2283. Determine q so that -1/6*q**2 - 1/6 + n*q = 0.
1
Let p(k) = k**2 + k + 1. Let x(m) = -11*m**2 + 23*m - 9. Let u(a) = 3*p(a) + x(a). Suppose u(j) = 0. What is j?
1/4, 3
Let i(y) = 10*y - 167. Let l be i(17). Let k(p) be the first derivative of -4*p**2 + 0*p - 4/3*p**l + 1. Factor k(z).
-4*z*(z + 2)
Let o = -85 + 89. Let q be o/(0 + -4) - 22/(-18). Find k, given that 2/9 - 4/9*k + q*k**2 = 0.
1
Find v, given that -1756*v**2 + 464*v + 3514*v**2 + 13456 - 1754*v**2 = 0.
-58
Let f(q) be the first derivative of -q**4/14 + 10*q**3/7 + 33*q**2/7 + 34*q/7 + 23. Find c such that f(c) = 0.
-1, 17
Solve 35*v**3 - 99*v**4 - 5*v**2 + 104*v**4 - v**5 - 4*v**5 - 30*v = 0.
-2, -1, 0, 1, 3
Let m(t) be the second derivative of t**4/12 + 41*t**3/3 - 83*t**2/2 + 97*t - 1. Solve m(h) = 0.
-83, 1
Factor 90*i**2 - 55*i**2 - 24*i - 39*i**2.
-4*i*(i + 6)
Let y(u) be the first derivative of 3/10*u**2 - 4/5*u - 39 + 1/15*u**3. Let y(t) = 0. What is t?
-4, 1
Let n(o) = o**3 + o**2. Suppose -4*j = 1 + 3. Let x = -583 - -588. Let p(g) = 8*g**3 + 2*g**2. Let t(k) = j*p(k) + x*n(k). Let t(r) = 0. What is r?
0, 1
Let b(l) = l**3 + 6*l**2 + 6*l - 3. Let a be b(-3). Let r(s) = s**2 - 4*s - 4. Let u be r(a). Factor u*j**3 - 6*j**2 - 4*j**5 - 7*j**3 + 8*j**3 + j**5.
-3*j**2*(j - 1)**2*(j + 2)
Factor -20/3 + 4/3*t**2 + 16/3*t.
4*(t - 1)*(t + 5)/3
Solve -41*a**2 + 1334*a + 1803*a + 15*a**4 + 905*a**2 - 3521*a + 234*a**3 = 0 for a.
-8, 0, 2/5
Let z(b) be the first derivative of 34 + 0*b + 0*b**2 + 1/5*b**5 - 1/3*b**3 + 0*b**4. Find k, given that z(k) = 0.
-1, 0, 1
Let l(c) be the first derivative of -3*c**4/4 + 21*c**2/2 + 18*c - 29. Factor l(z).
-3*(z - 3)*(z + 1)*(z + 2)
Find o such that -179*o + 17 + 83*o + 15 + 13*o**2 + 9*o**2 = 0.
4/11, 4
Let z(a) = 2*a**2 + 10*a - 48. Let u be z(-8). Factor 0 + 8/5*p**3 + 6*p**4 + u*p - 8/5*p**2.
2*p**2*(3*p + 2)*(5*p - 2)/5
Let b(f) be the first derivative of -f**3/18 + f**2/12 + f - 167. Factor b(s).
-(s - 3)*(s + 2)/6
Let g(t) be the first derivative of -t**4/27 + 4*t**3/9 - 2*t**2 + 6*t + 4. Let k(n) be the first derivative of g(n). Factor k(v).
-4*(v - 3)**2/9
Let d(h) be the first derivative of -2*h**3/45 + h**2/15 + 8*h/3 + 75. What is t in d(t) = 0?
-4, 5
Let i = -6656/99 + 610/9. Factor 12/11*c**2 + i*c**4 + 16/11*c**3 + 0*c - 2/11.
2*(c + 1)**3*(3*c - 1)/11
Let b(y) be the first derivative of y**3 + 0*y - 15/2*y**2 + 27. Solve b(f) = 0.
0, 5
Let c = 1203/5 + -10817/45. Find l such that -20/3*l**2 - 16/3 - 88/9*l - 2*l**3 - c*l**4 = 0.
-3, -2
Suppose 1770*s - 1798*s + 168 = 0. Factor -60*j + 363/2*