econd derivative of i**5/4 - 85*i**4/4 + 1445*i**3/2 - 24565*i**2/2 + 59*i. Determine j so that m(j) = 0.
17
Let y(b) be the third derivative of 1/30*b**5 + 0*b + 25/3*b**3 - 3*b**2 + 0 + 5/6*b**4. Suppose y(c) = 0. Calculate c.
-5
Let y(t) be the second derivative of 1/30*t**4 + 1/5*t**2 + 0 + 2/15*t**3 - 16*t. Determine l so that y(l) = 0.
-1
Let a(z) = -7*z - 10. Let o be a(-1). Let y be (-38)/24 - o - (-12)/(-18). Let 0 + y*q**2 + 0*q + 1/4*q**3 = 0. What is q?
-3, 0
Let c = -3899 + 3902. Factor 1/3*o**2 - 1 + 5/6*o - 1/6*o**c.
-(o - 3)*(o - 1)*(o + 2)/6
Let x(y) be the third derivative of 1/720*y**6 - 1/144*y**4 + 1/36*y**3 + 0 - 1/360*y**5 + 0*y - 11*y**2. Factor x(h).
(h - 1)**2*(h + 1)/6
Factor -39/2*y - 37/4*y**2 + 1/4*y**3 + 0.
y*(y - 39)*(y + 2)/4
Let z(n) be the first derivative of -n**6/2 + 51*n**5/5 - 60*n**4 + 64*n**3 - 114. Factor z(i).
-3*i**2*(i - 8)**2*(i - 1)
Let j(t) be the third derivative of -t**9/756 - t**8/420 + t**7/210 + t**6/90 + 7*t**3/2 + 21*t**2. Let u(o) be the first derivative of j(o). Factor u(g).
-4*g**2*(g - 1)*(g + 1)**2
Solve -1/3*h**4 + 3*h**3 + 0*h - 8/3*h**2 + 0 = 0.
0, 1, 8
Let y be (-5)/(65/(-2)) + (-21054)/(-39). Factor -8 + 765*n**2 + 300*n + 16 + y*n**3 + 0 + 12.
5*(3*n + 2)**2*(12*n + 1)
Let p = 615/22 - 10233/418. Suppose p*t - 28/19 + 10/19*t**2 = 0. Calculate t.
-7, 2/5
Let g(p) = -p + 6. Let h be g(4). Suppose -33*v = -70*v + 25*v. Factor v - 2/9*a**3 + 0*a**h + 2/9*a.
-2*a*(a - 1)*(a + 1)/9
Let m = -7 + 3. Let u = 0 - m. Solve 10 - 3*h**2 + u - 3*h - 3 - 5 = 0 for h.
-2, 1
Let u(h) be the second derivative of -h**6/6 - 2*h**5 - 5*h**4 - 973*h. Factor u(t).
-5*t**2*(t + 2)*(t + 6)
Let a = 302 - 300. Let v(z) be the first derivative of 0*z**a + 1/24*z**4 + 8 - 1/6*z**3 + 2/3*z. Factor v(u).
(u - 2)**2*(u + 1)/6
Determine t so that -t**4 - 2*t**2 - 21*t**3 + 0*t**4 + 3*t**4 + 11*t**3 + 6*t + 4*t = 0.
-1, 0, 1, 5
Suppose -3/7*j**4 - 3/7*j**3 - 1/7*j**5 + 0 - 1/7*j**2 + 0*j = 0. Calculate j.
-1, 0
Let j(q) = -q**2 + 7*q + 10. Let i be j(8). Factor p + 4*p**2 + 6*p**2 + 2*p**5 - 11*p**2 - 3*p**3 + 2*p**i - p**4.
p*(p - 1)**2*(p + 1)*(2*p + 1)
Find x, given that -12*x - 92*x**4 + 121*x**2 + 50*x + 98*x**3 + 26*x - 28*x**5 + 151*x**2 + 46*x**3 = 0.
-4, -1, -2/7, 0, 2
Let d(p) = p**2 - 14*p + 7. Let r be d(15). Determine l so that 2*l**5 + 0*l**4 - 2*l**2 + 2*l**4 - 24*l**3 + r*l**3 = 0.
-1, 0, 1
Suppose -41*i + 6 = -38*i. Factor s**2 + 6*s - 2*s + 4 - 3*s**2 - i*s.
-2*(s - 2)*(s + 1)
Determine g so that -1/5*g**2 + 10*g + 51/5 = 0.
-1, 51
Factor 1/4*y**4 - 1/4*y + 1/4*y**3 + 1/2 - 3/4*y**2.
(y - 1)**2*(y + 1)*(y + 2)/4
Let n = 39036 - 39033. Factor 1/3 - 1/3*l**n - l + l**2.
-(l - 1)**3/3
Let c be 6 + ((-8)/(-2) - 7). Suppose 3*d = c*x - 6*x + 3, 3*x - 9 = 3*d. Factor 4*q + 7*q**2 - 11*q**2 + 6*q**x.
2*q*(q + 2)
Let m(t) = -5*t**4 - 56*t**3 + 9*t**2 + 250*t + 155. Let y(g) = -g**4 - 19*g**3 + 3*g**2 + 83*g + 52. Let c(l) = 2*m(l) - 7*y(l). Factor c(b).
-3*(b - 6)*(b - 3)*(b + 1)**2
Let j be 0/3 - (-1 - 2). Factor -2 + 11*c**2 + 4*c**2 + c**2 - 7*c**2 + j*c.
(3*c - 1)*(3*c + 2)
Factor -2/7*k**5 + 0 + 0*k + 0*k**4 - 4/7*k**2 + 6/7*k**3.
-2*k**2*(k - 1)**2*(k + 2)/7
Let b(i) = -i**2 + 2*i + 2. Let r be b(2). Factor -2 - 18*w - 3*w**r + 11*w + 10*w + 8.
-3*(w - 2)*(w + 1)
Factor -4*h**2 - 4050 + 2898*h + 2*h**2 - 3078*h.
-2*(h + 45)**2
Let p(j) = j**2 - j - 1. Suppose -8*l + 30 = -18. Let f(y) = -4*y**2 - y + 8. Let q(d) = l*p(d) + 2*f(d). Solve q(h) = 0 for h.
-5, 1
Let h be -4*((-5)/2 - -3). Let w be h/13 - (-56)/26. Suppose 2*s**4 - w*s + 6*s**2 - 5*s**3 - 7*s**3 + 6*s**3 = 0. What is s?
0, 1
Let z(h) be the third derivative of 0 - 1/240*h**5 - 6*h**2 + 0*h - 1/12*h**3 + 1/32*h**4. Find r, given that z(r) = 0.
1, 2
Suppose -5*d + a + 16 = 0, 1 + 3 = a. Let -9*x**3 - 5*x**d - 5*x**3 + 14*x**3 = 0. What is x?
0
Suppose 4*f = -r - 4, -r + 4*f = f - 10. Let w(u) be the first derivative of 8*u - 1 - 14*u**2 + 19/4*u**r + 7/5*u**5 - 2*u**3. Let w(g) = 0. Calculate g.
-2, 2/7, 1
Factor -4*z + 48/13 + 18/13*z**2 - 2/13*z**3.
-2*(z - 4)*(z - 3)*(z - 2)/13
Let r(z) be the first derivative of -2*z**6/27 - 44*z**5/45 - 35*z**4/9 - 100*z**3/27 - 38. Factor r(y).
-4*y**2*(y + 1)*(y + 5)**2/9
Let f(x) be the third derivative of x**8/504 + 2*x**7/315 - 7*x**6/180 - 2*x**5/9 - x**4/3 + 40*x**2 + 7. Solve f(v) = 0.
-2, -1, 0, 3
Let o(r) = -11*r**3 - 3*r**2 - 4*r - 3. Let n be o(-1). Suppose 3/2*d**4 - 9/2 + 12*d + 0*d**3 - n*d**2 = 0. Calculate d.
-3, 1
Suppose 17*g - 16*g + 14 = 5*t, 2*t - 2*g - 12 = 0. Suppose 3*d - 3 = 3. Factor 0*y**2 - 4*y**d - 4 + 8*y**t + 2*y**3 - 2*y.
2*(y - 1)*(y + 1)*(y + 2)
Suppose a + 8 = 11. Factor -4*b**a - 16*b**2 - 16*b + 6*b**3 + 2*b**3 + 4*b**4.
4*b*(b - 2)*(b + 1)*(b + 2)
Let l(u) = -2*u - 9. Let x be l(-6). Suppose -4*d + 45 = 5*v, -3*d - v = -d - 21. Factor -7*a - 14*a**4 + a + a**4 + 6*a**3 + d*a**4 + x.
-3*(a - 1)**3*(a + 1)
Let l(n) = n**3 + 19*n**2 + 18*n - 8. Let r be l(-18). Let j be (-4 - -6)*r/(-14). Find x, given that 8/7*x + j*x**2 + 2/7*x**3 + 0 = 0.
-2, 0
Suppose -5*q + j + 17 = 0, -4*q = 5*j - 0*j - 31. Factor -27*p**4 - 32*p**2 - 6 + 8*p**2 + 20*p + 9*p**4 + 12*p**3 + 16*p**q.
-2*(p - 3)*(p - 1)**3
Let s be -10*(-1)/3*(-6)/(-5). Suppose s*j + 3*l - 8 = 3*j, 2*j + l = 6. Factor 1/4*a**5 + a**4 + a**3 - 5/4*a - 1/2 - 1/2*a**j.
(a - 1)*(a + 1)**3*(a + 2)/4
Suppose -107*n + 319*n - 273 = 151. Factor h + 1/2*h**n + 1/2.
(h + 1)**2/2
Let d(t) be the third derivative of -7/480*t**5 + 0 + 13*t**2 + 1/24*t**4 - 11/960*t**6 + 1/280*t**7 + 1/12*t**3 + 0*t. Find z, given that d(z) = 0.
-2/3, -1/2, 1, 2
Let p(t) = t**3 + t**2 + 1. Let c(k) = -3*k**3 + 3*k**2 + 2*k - 5. Let d(l) = c(l) + p(l). Factor d(i).
-2*(i - 2)*(i - 1)*(i + 1)
Let b(c) be the second derivative of -2/17*c**2 - 1/102*c**4 - 1/17*c**3 + 0 + 10*c. Factor b(r).
-2*(r + 1)*(r + 2)/17
Let k = -28679/9 + 3187. Suppose -2/9*l**3 + k*l**2 - 2/9*l + 0 = 0. Calculate l.
0, 1
Suppose -46/13 - 170/13*c + 56/13*c**2 = 0. What is c?
-1/4, 23/7
Let d = -8991 + 8995. Solve -4/9*z**5 + 0 - 4/9*z - 2/3*z**2 + 8/9*z**3 + 2/3*z**d = 0.
-1, -1/2, 0, 1, 2
Let r(y) be the second derivative of 27*y + 0*y**3 + 0*y**4 + 0 + 0*y**2 + 3/100*y**5. Factor r(l).
3*l**3/5
Factor -7627*l**4 - 1309*l - 945*l**2 + 7626*l**4 - 6263*l + 147*l - 20250 - 11*l**3 - 40*l**3.
-(l + 6)*(l + 15)**3
Suppose 68/7*m**4 + 28 + 760/7*m**2 - 92*m - 4/7*m**5 - 376/7*m**3 = 0. Calculate m.
1, 7
Let p = -8160 - -8160. Solve -4/7*q**3 + 0 - 2/7*q**4 + 0*q**2 + 2/7*q**5 + p*q = 0.
-1, 0, 2
Let l(y) be the second derivative of y**7/14 - y**6/5 + 3*y**5/20 + 42*y. Solve l(k) = 0 for k.
0, 1
Suppose -u = 4*r - 16, 8*u - 5*u + 16 = 4*r. Let p(n) be the second derivative of u*n**2 + 0 + 1/3*n**3 - 2/5*n**5 + 1/2*n**4 + n. Factor p(i).
-2*i*(i - 1)*(4*i + 1)
Let x(j) be the first derivative of j**4/6 - 11*j**3/9 - 7*j**2/6 + 2*j - 277. Let x(l) = 0. Calculate l.
-1, 1/2, 6
Let p(q) be the first derivative of q**7/525 - q**6/300 + 6*q**2 + 13. Let x(o) be the second derivative of p(o). What is h in x(h) = 0?
0, 1
Suppose 0*o - 3*p = 4*o - 725, -3*o = p - 540. Solve 8*d**3 - 163*d**2 + d**4 + o*d**2 + 3*d - 3*d = 0 for d.
-4, 0
Suppose 0 + 1/9*c**3 + 1/9*c**2 - 1/9*c**4 - 1/9*c = 0. Calculate c.
-1, 0, 1
Let t = 10 + -6. Let f(s) be the first derivative of -s**3/3 - 4*s**2 + 5*s + 3. Let k(l) = 6*l**2 + 39*l - 24. Let x(v) = t*k(v) + 21*f(v). Solve x(p) = 0.
1, 3
Let o(a) be the third derivative of a**5/210 - 37*a**4/28 - 236*a**2. Factor o(d).
2*d*(d - 111)/7
Let -3/7 + 5/7*k**2 + 5/7*k**3 - 2/7*k**4 - 5/7*k = 0. Calculate k.
-1, -1/2, 1, 3
Factor 7250*s + 108*s**3 - 7103*s - 2*s**5 + 18*s**4 + 171*s**2 + 67*s**2 + 3*s**5.
s*(s + 1)*(s + 3)*(s + 7)**2
Let b(y) = -24*y**4 + 9*y**3 - 18*y**2 + 48*y - 18. Let m(t) = t**4 + t**3 - t**2 - 2*t + 1. Let v(z) = b(z) + 18*m(z). Factor v(o).
-3*o*(o - 2)**2*(2*o - 1)
Let t = -1/742 + 745/2226. Let p be (-7)/(-6) + (-2)/4. Factor p*m + 0 + t*m**2.
m*(m + 2)/3
Let h(g) be the third derivative of g**7/490 + 37*g**6/70 - 149*g**5/140 + 114*g**2 - g. Factor h(u).
3*u**2*(u - 1)*(u + 149)/7
Let g(x) = 18*x**2 - x + 0*x + 18 + x - 6*x. Let y(v) = -v**2 - 1. Let n(a) = g(a) + 15*y(a). Factor n(j).
3*(j - 1)**2
Let z be (2/(-24) + 2/(-