/3
Solve -90*y**3 + 15*y**2 + 43*y**2 + 139*y + 55*y**4 + 31*y + 17*y**2 - 50*y**4 = 0.
-1, 0, 2, 17
Let k(g) be the first derivative of 7*g**6/30 - 2*g**5/15 + 2*g**2 + 3. Let z(n) be the second derivative of k(n). Factor z(i).
4*i**2*(7*i - 2)
Let x(w) be the third derivative of -w**8/672 - w**7/140 + w**6/240 + 7*w**5/120 - w**3/3 - 4*w**2 - 46*w. Find m such that x(m) = 0.
-2, -1, 1
Let t(m) be the third derivative of -1/360*m**5 + 0 - 5*m**2 + 0*m - 1/9*m**3 + 5/144*m**4. Factor t(j).
-(j - 4)*(j - 1)/6
Let k(l) be the first derivative of -7*l**6/165 + l**5/55 + 7*l**4/66 - 2*l**3/33 - 17*l - 14. Let o(r) be the first derivative of k(r). Solve o(n) = 0.
-1, 0, 2/7, 1
Let c(m) be the second derivative of m**6/18 + 2*m**5 - 125*m**4/36 - 9*m. Find b such that c(b) = 0.
-25, 0, 1
Determine z, given that -4 - 1/2*z**3 - 7/2*z**2 - 7*z = 0.
-4, -2, -1
Let s(y) = 4*y**3 - 144*y**2 + 340*y - 200. Let h(w) = w**3 - 29*w**2 + 68*w - 40. Let z(u) = 16*h(u) - 3*s(u). Let z(b) = 0. What is b?
1, 2, 5
Let h(a) be the first derivative of -4*a**2 + 8 + 2/3*a**3 + 6*a. Factor h(q).
2*(q - 3)*(q - 1)
Let n(r) be the second derivative of r**6/6 - 55*r**4/12 - 15*r**3 - 20*r**2 + 33*r. Factor n(m).
5*(m - 4)*(m + 1)**2*(m + 2)
Let r(z) be the second derivative of 11*z**8/3360 - 23*z**7/630 + 13*z**6/90 - 2*z**5/15 - z**4/2 - 34*z. Let j(y) be the third derivative of r(y). Factor j(q).
2*(q - 2)**2*(11*q - 2)
Determine m so that 12/7*m**2 + 0*m + 2/7*m**5 - 10/7*m**3 + 0 - 4/7*m**4 = 0.
-2, 0, 1, 3
Let s(t) be the second derivative of 20*t**2 + 5/42*t**7 + 22*t + 2/3*t**6 - 25/6*t**4 + 1/4*t**5 + 0 - 10/3*t**3. Find l, given that s(l) = 0.
-2, 1
Let m = -1560/11 + 1564/11. Factor 2/11*v + 0 + 0*v**2 + 0*v**4 + 2/11*v**5 - m*v**3.
2*v*(v - 1)**2*(v + 1)**2/11
Let w = 8 - 29. Let u be (-9)/w + 18/(-21) + 1. Factor 0 - 2/7*g**2 + u*g.
-2*g*(g - 2)/7
Suppose v**4 + 1/3*v**3 - 1/3*v**5 + 0 - v**2 + 0*v = 0. What is v?
-1, 0, 1, 3
Let g(j) = j**2 + j + 2. Let w be g(-1). Let s = 908/5 - 181. Factor -s*i**w + 2/5 - 1/5*i.
-(i + 1)*(3*i - 2)/5
Suppose 194 - 393 - 401 = -300*q. Solve -9/2*a**3 - 3*a**q + 0 + 9/2*a**5 + 0*a + 3*a**4 = 0.
-1, -2/3, 0, 1
Factor 3/7 + 5/7*r**2 + r + 1/7*r**3.
(r + 1)**2*(r + 3)/7
Suppose -c + y - 3 = 2*y, 0 = 2*c - 3*y - 9. Suppose c = 5*a + 4 - 14. Factor 0*g + 1/5*g**3 + 1/5*g**a + 0.
g**2*(g + 1)/5
Let i be (-12)/(-14) + (11 - (-25942)/(-2254)). Find u such that 0*u + 0*u**3 + i*u**2 + 2/23*u**5 + 0 - 6/23*u**4 = 0.
-1, 0, 2
Determine o so that 18/5 + 21/5*o - o**3 - 1/5*o**4 - 1/5*o**2 = 0.
-3, -1, 2
Let w = -3427 - -3427. Factor -8/25*j + w + 0*j**2 + 2/25*j**3.
2*j*(j - 2)*(j + 2)/25
Suppose 4*a - 11 = 3*a. Suppose a*d = 10*d. Factor 0 + 6*t**3 + 8*t**4 + 4/3*t**2 + d*t + 10/3*t**5.
2*t**2*(t + 1)**2*(5*t + 2)/3
Let 45*j**2 - 35/3*j - 5*j**4 + 0 - 85/3*j**3 = 0. Calculate j.
-7, 0, 1/3, 1
Let c(n) be the third derivative of 1/6*n**4 + 0 + 10*n**2 - 8/15*n**3 + 0*n - 1/75*n**5. Find p, given that c(p) = 0.
1, 4
Let j(m) = -46*m + 68. Let u be j(-12). Let w be 7*(u/(-315) + 2). Let 2/9*o**2 - w + 0*o = 0. Calculate o.
-1, 1
Let b(f) be the second derivative of -f**4/24 + 57*f**3/2 - 29241*f**2/4 + 2*f + 124. Solve b(d) = 0 for d.
171
Let y(g) be the second derivative of g**6/24 + 11*g**5/40 + 7*g**4/12 + g**3/3 + 9*g - 4. Factor y(f).
f*(f + 2)**2*(5*f + 2)/4
Determine t so that -8/9*t + 2/9*t**2 - 10/9 = 0.
-1, 5
Suppose -o - 3 = 2*n, o = -n - 0*n. Let f(c) be the second derivative of 1/12*c**4 - 1/6*c**o + 0*c**2 + 0 + 3*c. Factor f(p).
p*(p - 1)
Factor 12*y - 12/5 - 15*y**2.
-3*(5*y - 2)**2/5
Let y(j) be the first derivative of -2*j**5/5 - 5*j**4/2 - 4*j**3/3 + 8*j**2 - 269. Factor y(f).
-2*f*(f - 1)*(f + 2)*(f + 4)
Suppose -3*u + 1 - 6 = 5*d, -u + 13 = -2*d. Factor 0*t + 2/11*t**u + 0*t**2 - 2/11*t**4 + 0*t**3 + 0.
2*t**4*(t - 1)/11
Let l(c) be the third derivative of -c**6/1020 - 2*c**5/255 + 5*c**4/204 + 60*c**2. Factor l(f).
-2*f*(f - 1)*(f + 5)/17
Let x be (-4)/26 - (-23515)/(-1365). Let h = x + 53/3. Find b such that 2/7*b**2 + 0*b - h = 0.
-1, 1
Let i(x) be the third derivative of x**8/4032 + x**7/336 - x**5/4 + x**2. Let y(r) be the third derivative of i(r). Factor y(c).
5*c*(c + 3)
Suppose -f + 30*a = 34*a + 1, 3 = 2*f + 3*a. Factor -15/7*w - f*w**2 + 6/7.
-3*(w + 1)*(7*w - 2)/7
Let 32*p**3 - 128/7*p**2 - 14*p**4 + 0 + 0*p = 0. Calculate p.
0, 8/7
Let j(g) be the third derivative of g**6/360 - 2*g**5/15 + 2*g**4 + 20*g**2. Factor j(n).
n*(n - 12)**2/3
Let u = -55 - -58. Solve -2*j**u + 9*j**2 + 23*j**2 - 2*j**2 - 3*j**3 + 35*j = 0.
-1, 0, 7
Let c be ((-28)/(-45) - 2/9)/(71/355). Determine m so that 2/11*m**c + 0 - 4/11*m = 0.
0, 2
Let n(v) be the second derivative of v**7/42 + v**6/6 - 9*v**5/10 - 29*v**4/6 + 145*v**3/6 - 75*v**2/2 + 224*v. Factor n(l).
(l - 3)*(l - 1)**2*(l + 5)**2
Let s = -1080/13 + 17401/260. Let z = s - -82/5. Solve z*g**3 + 0 - 1/4*g**4 + 1/4*g**2 - 1/4*g = 0 for g.
-1, 0, 1
Let r be ((-4)/(-3))/(2/8). Suppose 975*v - 973*v = 5*d - 12, 4*v = -2*d. Determine g so that -40/3*g - r - d*g**3 - 28/3*g**2 = 0.
-2, -2/3
Let -12/5 - 26/15*x**3 + 32/15*x**2 + 26/15*x + 4/15*x**4 = 0. Calculate x.
-1, 1, 2, 9/2
Suppose z = 18 - 2. Let y be -2*10/z*-4. Find i, given that i**5 - 23*i**y - 19*i**4 + i**5 - 27*i**2 + 46*i**4 + 6*i + 15*i**3 = 0.
-1, 0, 2/7, 1
Let d(q) = 19*q**2 + 7*q + 8. Let o be d(-5). Let g = o + -2233/5. Factor -2/5*x**3 + 2/5*x**4 + 1/5*x**5 - 8/5*x**2 - g*x - 2/5.
(x - 2)*(x + 1)**4/5
Let b(k) be the first derivative of 2*k**3/15 - 24*k**2 - 242*k/5 + 395. Factor b(v).
2*(v - 121)*(v + 1)/5
Let t(w) be the first derivative of w**4/16 - 23*w**3/4 + 1587*w**2/8 - 12167*w/4 - 64. Suppose t(c) = 0. What is c?
23
Let h(k) be the second derivative of 2*k**7/21 - 8*k**6/5 + 28*k**5/5 - 2*k**4 - 58*k**3/3 + 36*k**2 - 3*k + 30. Solve h(x) = 0.
-1, 1, 2, 9
Suppose -2*m = -35*i + 32*i + 34, -m = -2*i + 24. Let b(k) be the second derivative of 0*k**4 + 1/4*k**5 + 0 - i*k - 1/6*k**6 + 0*k**2 + 0*k**3. Factor b(a).
-5*a**3*(a - 1)
Let o(y) be the second derivative of 0 - 1/15*y**3 + 2/5*y**2 - y - 1/30*y**4. Determine d, given that o(d) = 0.
-2, 1
Let p(c) = -4*c**2 + c - 2. Let q(o) = -10*o**2 + 30*o - 70. Let b(r) = 4*p(r) - 2*q(r). Factor b(m).
4*(m - 11)*(m - 3)
Factor 37/3*l - 6 - 2/3*l**2.
-(l - 18)*(2*l - 1)/3
Find x such that 24/5*x**2 + 0*x + 0 - 8/5*x**4 + 4/5*x**5 - 4*x**3 = 0.
-2, 0, 1, 3
Let z = 10129/20266 - -2/10133. Suppose 0*p - 2*p**2 + 0 + z*p**3 = 0. Calculate p.
0, 4
Let i(p) be the first derivative of -p**6/30 - 3*p**5/25 + 7*p**4/20 + 7*p**3/15 - 9*p**2/5 + 8*p/5 + 54. Factor i(n).
-(n - 1)**3*(n + 2)*(n + 4)/5
Suppose -3*w + 199*c - 201*c - 4 = 0, -2*c = -5*w + 20. Determine v so that 4/3*v - 1/6*v**4 + 1/2*v**w - 1/3*v**3 + 2/3 = 0.
-2, -1, 2
Determine g, given that 41*g + 24130*g**3 + 7*g + 20*g**2 - 4*g**4 - 24136*g**3 + 2*g**4 = 0.
-4, -2, 0, 3
Let f = -118781/5 - -23758. Factor -6/5*v**2 + 0*v**4 + 3/5*v**5 - f*v**3 + 0 + 0*v.
3*v**2*(v - 2)*(v + 1)**2/5
Let y(x) be the third derivative of 0*x + 4*x**2 - 72/17*x**3 - 3/85*x**5 + 0 - 1/1020*x**6 - 9/17*x**4. Factor y(d).
-2*(d + 6)**3/17
Let i(c) = -c**2 + 26*c + 317. Let s be i(35). Solve 6/5 + 9/5*y + 3/5*y**s = 0 for y.
-2, -1
Let k = -10/283 - -3466/1981. Let u be 3*(-1)/(-6)*(-30)/(-35). What is b in -u*b**2 + k*b - 12/7 = 0?
2
Suppose 3*y = 5 + 10. Suppose y*m - 13 = 2. Solve -10*r - m*r + 5*r**2 + 5 + 3*r = 0 for r.
1
Let w(x) be the third derivative of x**9/68040 + x**8/30240 - x**7/2835 - x**6/810 - x**4/4 + 18*x**2. Let n(t) be the second derivative of w(t). Factor n(a).
2*a*(a - 2)*(a + 1)*(a + 2)/9
Let h(m) be the third derivative of -16*m**2 - 17/156*m**4 + 0*m - 1/78*m**5 - 2/13*m**3 + 1. What is p in h(p) = 0?
-3, -2/5
Let a(y) be the second derivative of 1/30*y**6 - 14*y - 3/2*y**2 + 0 - 5/6*y**3 + 1/6*y**4 + 3/10*y**5 - 1/42*y**7. Factor a(p).
-(p - 3)*(p - 1)*(p + 1)**3
Let o be (-1 - 0)/((-6)/24). Let -o*q**3 - 53 - 15*q + q**3 - 12*q**2 + 47 = 0. Calculate q.
-2, -1
Let q be (-104)/(-30) + (-102)/170*-2. Factor -q*j - 2/3*j**2 + 16/3.
-2*(j - 1)*(j + 8)/3
Let i(b) be the first derivative of 3 + 0*b**2 + 2*b - 1/6*b**3. Solve i(q) = 0.
-2, 2
Suppose 3*r + 0*j - 4*j = -3, -3*r = -5*j + 6. Factor -8*q + 26