at -3*j**3 + 24*j**2 + 1289 + 48*j**2 + 1077 - 830 - u*j = 0.
8
Let x(d) be the second derivative of -5/3*d**3 + 3/4*d**5 + 6*d + 0*d**2 + 0 - 25/12*d**4. Find a, given that x(a) = 0.
-1/3, 0, 2
Suppose 0 = 4*o - 8. Factor -o*c + 2/5*c**3 - 2/5*c**2 - 6/5.
2*(c - 3)*(c + 1)**2/5
Solve -1/2*d**5 + 1/2*d**2 + 0*d + 0 + 1/2*d**3 - 1/2*d**4 = 0.
-1, 0, 1
Factor -20*u**3 - 2*u**4 + 9*u**3 + 8*u**3 + 7*u**3 - 2*u**2.
-2*u**2*(u - 1)**2
Let k(w) = -11*w**2 - 92*w - 72. Let x(h) = 5*h**2 + 46*h + 37. Let g(o) = 4*k(o) + 9*x(o). Let g(i) = 0. What is i?
-45, -1
Let u(z) = 3*z**2 - 12*z + 15. Let n be 1*(-7 + (-8)/(-2)). Let j(q) = 3*q**2 - 12*q + 14. Let b(x) = n*j(x) + 2*u(x). Factor b(c).
-3*(c - 2)**2
Let v(m) be the first derivative of 14*m**5/75 - 118*m**4/15 - 226*m**3/9 - 394*m**2/15 - 48*m/5 + 589. Find g such that v(g) = 0.
-1, -2/7, 36
Factor -1293*q**2 - 20 + 3*q**3 - 21*q**3 + 118*q + 1125*q**2.
-2*(q + 10)*(3*q - 1)**2
Find r such that 76 + 15*r**3 - 350 + 120*r + 92*r**2 + 303*r**2 + 16 - 2 = 0.
-26, -1, 2/3
What is d in -100/9*d**3 + 4/9*d**4 + 664/9*d**2 - 128/3*d - 128 = 0?
-1, 2, 12
Let x(p) be the first derivative of 41*p**2 + 15 - 6*p**4 + 130/3*p**3 + 12*p. Factor x(j).
-2*(j - 6)*(3*j + 1)*(4*j + 1)
Suppose -3*b = -144 + 132. Let o(p) be the third derivative of -1/210*p**7 - 1/12*p**5 + 0 - 1/30*p**6 - 1/12*p**b + 0*p**3 + 7*p**2 + 0*p. Factor o(m).
-m*(m + 1)**2*(m + 2)
Let r be 1/(-1)*(12 + -14). Suppose 0 = 2*d + 5*i - 1 + r, 0 = -d + 3*i + 5. Solve -4/3*o**d - 5/3*o - 1/3*o**3 - 2/3 = 0 for o.
-2, -1
Let z(d) = -6*d**3 + 4*d**2 + 7*d - 15. Let g(x) = -7*x**3 + 4*x**2 + 7*x - 16. Let i(c) = 5*g(c) - 6*z(c). Factor i(k).
(k - 5)*(k - 1)*(k + 2)
Let g(c) = -5*c + 4. Let i be g(3). Let u be ((-6)/2)/(i + 10). Factor 3*v**3 - v**u + v**3 - 3*v.
3*v*(v - 1)*(v + 1)
Let q = -32 + 45. Suppose 0 = m - 2*a - 3*a - q, m - a - 5 = 0. What is c in 12*c**2 - c - 3*c**m - 8*c - 3*c**2 + 3 = 0?
1
Let c(p) = p - 1. Suppose v - 3 = -2*v. Let m(s) = 2*s**3 - 2*s**2 - 4. Let j(b) = v*m(b) - 2*c(b). Let n(l) = -1. Let z(h) = j(h) - 4*n(h). Factor z(i).
2*(i - 1)**2*(i + 1)
Let i(s) be the second derivative of 49*s**5/20 + 7*s**4 - 9*s**3/2 + s**2 + 139*s. Let i(l) = 0. What is l?
-2, 1/7
Let k(x) be the third derivative of -x**8/2352 - 4*x**7/735 - x**6/40 - 3*x**5/70 + 4*x**2 + 1. Factor k(o).
-o**2*(o + 2)*(o + 3)**2/7
Let s = -87/5 + 35/2. Let u(o) be the second derivative of 0*o**4 + 0*o**3 - 1/6*o**7 + 6*o - s*o**5 - 3/10*o**6 + 0*o**2 + 0. Determine r so that u(r) = 0.
-1, -2/7, 0
Let w(q) = 3*q**4 + 3*q**3 + 3*q. Let b(o) = -9*o**4 - 10*o**3 - 8*o. Let i(g) = -3*b(g) - 8*w(g). Determine j, given that i(j) = 0.
-2, 0
Find h, given that 1/7*h**2 + 16641/7 + 258/7*h = 0.
-129
Let j be (8/10)/(18/40). Let i = 1385 - 1383. Factor -2/3*g**i - j*g - 8/9.
-2*(g + 2)*(3*g + 2)/9
Suppose 33 = 2*y - 15. Suppose -2*h + 4*r + y = 2*h, -r = -2*h + 17. Factor -v**5 - 4*v**2 - v**3 - 8*v**4 + h*v**3 + 3*v**5.
2*v**2*(v - 2)*(v - 1)**2
Let m(z) be the first derivative of 0*z**2 + 1/20*z**4 + 1/15*z**3 - 2 + 0*z. What is u in m(u) = 0?
-1, 0
Let s(h) be the first derivative of h**7/3360 - h**6/480 - h**5/480 + h**4/32 + 26*h**3/3 - 14. Let a(c) be the third derivative of s(c). What is g in a(g) = 0?
-1, 1, 3
Let k be (16 - 13)*2/9. Let f(b) = b**3 + 14*b**2 + 24*b + 3. Let m be f(-12). Factor -1/3*w**m - k + 1/3*w + 2/3*w**2.
-(w - 2)*(w - 1)*(w + 1)/3
Let z be 6 + (-68)/12 - (-21)/(-81). Let x(s) be the second derivative of 3*s + z*s**3 + 1/9*s**2 + 0*s**4 - 1/135*s**6 + 0 - 1/45*s**5. Factor x(p).
-2*(p - 1)*(p + 1)**3/9
Let p be 0 + 4/38 - (-11110)/3838. Factor 260/3*q**p - 50*q**4 - 250/9*q**5 + 16/3*q - 344/9*q**2 + 0.
-2*q*(q + 3)*(5*q - 2)**3/9
Let b(s) be the second derivative of -1/14*s**4 + 3/7*s**3 + 11*s + 1 - 5/7*s**2 - 1/70*s**5. Factor b(t).
-2*(t - 1)**2*(t + 5)/7
Factor -3*n - 1/5*n**3 + 27/5 - 11/5*n**2.
-(n - 1)*(n + 3)*(n + 9)/5
Let l(n) be the first derivative of -n**4/18 + n**3/3 - 2*n**2/3 - 8*n - 4. Let k(x) be the first derivative of l(x). Factor k(b).
-2*(b - 2)*(b - 1)/3
Suppose 3*m - 28 = -4*m. Let v(q) = 5*q**2 + 9*q + 7. Let n(c) = 4*c**2 + 8*c + 8. Let l(a) = m*v(a) - 3*n(a). Solve l(p) = 0 for p.
-1, -1/2
Let k(o) be the first derivative of 2*o**3/3 + 5*o**2/2 + 4*o - 78. Let u be k(-2). Let 2*a**3 + 0 - 2/3*a**u - 2/3*a**5 - 4/3*a + 2/3*a**4 = 0. What is a?
-1, 0, 1, 2
Let z(s) be the third derivative of -s**6/96 - s**5/240 + 7*s**4/48 - s**3/3 - 2*s**2 - 1. Suppose z(m) = 0. Calculate m.
-2, 4/5, 1
Let u be ((-30)/20)/(273/(-26)). Factor -3/7*i**2 + u*i**4 + 2/7 + 1/7*i**3 - 1/7*i.
(i - 1)**2*(i + 1)*(i + 2)/7
Let c(f) be the second derivative of f**6/720 + f**5/120 + f**4/48 - 11*f**3/3 + 9*f. Let a(n) be the second derivative of c(n). Factor a(d).
(d + 1)**2/2
Let f(i) be the third derivative of -i**8/192 + 39*i**7/280 + 167*i**6/480 - 27*i**5/80 - 5*i**4/3 - 3*i**3/2 + 271*i**2. Solve f(c) = 0.
-1, -2/7, 1, 18
Let l(b) = -b**3 - 1. Let d(g) = -g**4 + 6*g**3 + 3*g**2 + 5*g + 9. Let z be (-146)/4 + ((-27)/2)/(-9). Let r(w) = z*l(w) - 5*d(w). Let r(s) = 0. Calculate s.
-1, 2
Suppose -1/4 - 1/4*b + 5*b**2 = 0. Calculate b.
-1/5, 1/4
Let f = 107/429 + 7/33. Factor -2/13 + 2/13*d**3 - 6/13*d**2 + f*d.
2*(d - 1)**3/13
Let w be -3*(-5 - (2 - 5)). Let l(m) be the second derivative of -1/14*m**7 + 1/2*m**3 - 1/2*m**4 + 0*m**2 + 0 + 7*m + 1/5*m**w + 0*m**5. Factor l(b).
-3*b*(b - 1)**3*(b + 1)
Let g = -5353/3 + 1785. Let v(y) be the first derivative of 2*y + 2/27*y**3 + g*y**2 + 1. Determine a, given that v(a) = 0.
-3
Let j(p) be the first derivative of p**3/3 + 7*p**2/2 + 6*p + 62. Factor j(g).
(g + 1)*(g + 6)
Let w = -1596 + 1596. Factor 0 + 3/5*q**3 + 18/5*q**2 + w*q.
3*q**2*(q + 6)/5
Suppose 0 = -47*f - 53*f + 400. Factor -5*t + 25/2*t**2 - 15/2*t**3 + 0 - 5/2*t**f + 5/2*t**5.
5*t*(t - 1)**3*(t + 2)/2
Suppose -31*i**3 + 100 + 3/4*i**4 - 410*i + 1361/4*i**2 = 0. Calculate i.
1/3, 1, 20
Let m(r) be the second derivative of -r**6/720 - r**5/240 + r**3/3 + 12*r. Let c(x) be the second derivative of m(x). Suppose c(b) = 0. Calculate b.
-1, 0
Let s(w) be the second derivative of 5/2*w**2 + 20*w - 11/4*w**3 + 0 - 7/24*w**4. Factor s(o).
-(o + 5)*(7*o - 2)/2
Let m(c) = -c**2 + c - 1. Let x = -167 - -168. Let j(a) = 2*a**2 - 6*a + 8. Suppose 0*g - 5 = -2*k - g, -11 = -2*k + g. Let n(z) = k*m(z) + x*j(z). Factor n(r).
-2*(r - 1)*(r + 2)
Let n(y) be the third derivative of -y**7/315 - 13*y**6/60 - 37*y**5/90 + 13*y**4/12 + 38*y**3/9 - 416*y**2. Find z, given that n(z) = 0.
-38, -1, 1
Suppose -85 = -5*t + 5*n, 5*t + n + 4*n = 105. Factor 13*g**3 - 12*g**3 - 1 - 8*g**2 - 9 - t*g.
(g - 10)*(g + 1)**2
Let b(t) be the third derivative of 0*t + 1/2016*t**8 + 0*t**4 + 1/9*t**3 - 1/720*t**6 + 0 + 1/420*t**7 - 4*t**2 - 7/360*t**5. Let b(u) = 0. Calculate u.
-2, -1, 1
Factor 22*n - 5*n**2 + 3*n - 10*n + 14 + 6*n**2.
(n + 1)*(n + 14)
Suppose 5*u - l = 46, -3*u = 4*l - 5 - 18. Suppose v + u = m, 2*m + v - 6*v = 33. What is a in -a**5 + 4*a - m*a = 0?
0
Suppose 22*s - 18 = 19*s. Suppose -3*r = 3*f, 0 = 3*r + r + 2*f - s. Let 0 + 0*g**r + 0*g + 0*g**2 - 1/6*g**5 - 1/6*g**4 = 0. What is g?
-1, 0
Suppose 996*j - 505*j - 497*j + 12 = 0. Determine z, given that 8/9 - 2/9*z**j + 0*z = 0.
-2, 2
Let d(v) be the first derivative of -v**4/6 + 32*v**3/9 - 64*v**2/3 - 155. Find p such that d(p) = 0.
0, 8
Let u(g) = -3*g**4 + g**3 + 2*g + 1. Let k(v) = -22*v**4 + 26*v**3 - 42*v**2 + 38*v + 8. Let z(n) = -k(n) + 8*u(n). Factor z(i).
-2*i*(i - 1)**2*(i + 11)
Let p = 2/537 + 527/2685. Let l(m) be the second derivative of 0*m**2 - p*m**6 - 1/14*m**7 + 0 + 0*m**4 - 3/20*m**5 + 8*m + 0*m**3. Suppose l(t) = 0. What is t?
-1, 0
Suppose -233*r**2 - 5*r**3 + 200*r - 465 - 170*r**2 - 47*r**2 + 725*r - 5*r**2 = 0. What is r?
-93, 1
Let t be 8/(-5)*1 + 2. Suppose -11*x = -12*x. Suppose 4/5*a**3 + 0*a + x + t*a**2 + 2/5*a**4 = 0. Calculate a.
-1, 0
Let f(i) be the third derivative of i**9/22680 + i**8/16800 - i**7/9450 - i**4/12 + 3*i**2. Let r(z) be the second derivative of f(z). Solve r(y) = 0 for y.
-1, 0, 2/5
Let l(i) be the second derivative of i**5/4 + 35*i**4/12 + 35*i**3/3 + 20*i**2 + 2*i - 84. Factor l(k).
5*(k + 1)*(k + 2)*(k + 4)
Let j = 3 - -5. Suppose -j = -5*z