*z*(z - 2)**2
Let i = -165337/11 - -15035. Let x = 8 + -6. Factor i*r - 18/11*r**x + 2/11*r**3 - 32/11.
2*(r - 4)**2*(r - 1)/11
Let o = 357 + -354. Solve -14*y**4 + 15*y**4 + 9*y**2 - 8*y**3 + 2*y**o = 0 for y.
0, 3
Let f(w) be the second derivative of 8*w**6/15 + 123*w**5/5 - 919*w**4/3 + 148*w**3 + 2*w - 578. Factor f(i).
4*i*(i - 6)*(i + 37)*(4*i - 1)
Let f(g) be the third derivative of -g**6/150 + 4*g**5/75 - g**4/10 - 204*g**2 + 3. Solve f(z) = 0 for z.
0, 1, 3
Let b(i) = -6*i**3 - 69*i**2 + 314*i - 13. Let p be b(-15). Factor 0 - 9*y + 1/3*y**5 - 4/3*y**4 + 12*y**p - 2*y**3.
y*(y - 3)**2*(y - 1)*(y + 3)/3
Suppose -17/5*u - 1/5*u**2 + 1/5*u**4 + u**3 + 12/5 = 0. What is u?
-4, -3, 1
Let v(r) be the third derivative of -r**8/1344 + r**7/105 + 3*r**6/32 + 3*r**5/20 - 7*r**2 + 5. Determine z, given that v(z) = 0.
-3, -1, 0, 12
Suppose 0 = -374*g + 386*g - 24. Factor -2 - 324*l**g - 3*l + 323*l**2 + 0*l.
-(l + 1)*(l + 2)
Let y(p) be the third derivative of p**6/180 - 28*p**5/45 - 7*p**4/4 + 38*p**3 + 4568*p**2. Factor y(q).
2*(q - 57)*(q - 2)*(q + 3)/3
Let j(z) = z + 5. Let b(k) = -4*k - 16. Let f(c) = -2*b(c) - 7*j(c). Let t(m) = -5*m**2 - 53*m - 126. Let n(l) = -2*f(l) + t(l). Factor n(u).
-5*(u + 3)*(u + 8)
Let v(y) be the first derivative of y**5/80 - y**4/24 - 11*y**3/24 + 3*y**2/2 + 2*y - 30. Let d(x) be the first derivative of v(x). Solve d(h) = 0 for h.
-3, 1, 4
Let n(x) be the third derivative of -74*x - 5/3*x**4 - 1/24*x**6 + 0*x**3 + 1/2*x**5 + 0 + x**2. Factor n(r).
-5*r*(r - 4)*(r - 2)
Let c(g) = -12*g**3 - 522*g**2 - 18*g + 632. Let o(l) = -l**3 + 8*l**2 - 2*l + 3. Let w(r) = c(r) - 10*o(r). Solve w(i) = 0.
-301, -1, 1
Factor 3732/7*z + 942/7*z**2 + 3720/7 + 3/7*z**3.
3*(z + 2)**2*(z + 310)/7
Factor -6/11*l**2 + 0*l - 14/11*l**3 - 2/11*l**5 + 0 - 10/11*l**4.
-2*l**2*(l + 1)**2*(l + 3)/11
Let y(i) be the second derivative of -5/32*i**4 + 0*i**2 - 1/8*i**3 + 27 + 1/80*i**6 + i + 1/112*i**7 - 9/160*i**5. Solve y(w) = 0 for w.
-1, 0, 2
Suppose 2*v - 21 = -5*u, -43 - 39 = -6*v + 4*u. Suppose -5*y + 48 + 22 = 0. Find f, given that f + v + 5*f**3 + 9*f**2 + 2*f - y = 0.
-1, 1/5
Let c(s) be the third derivative of -s**5/90 - 226*s**4/9 - 204304*s**3/9 + s**2 + 541*s. Let c(d) = 0. Calculate d.
-452
Let f = -9 + -12. Let w(l) = l**3 + 21*l**2 + 11. Let p be w(f). Factor -22*g + 4*g**4 - 7*g**3 - p*g**2 - 3*g**2 + 19*g.
g*(g - 3)*(g + 1)*(4*g + 1)
Let l = 110977/17756 + -1/8878. Let u(q) be the second derivative of -10/3*q**3 - 15*q - l*q**5 + 0*q**2 + 0 - 25/3*q**4. Factor u(t).
-5*t*(5*t + 2)**2
Let z = 407222 + -3655267/9. Let d = z - 1079. Suppose -2*y - 28/9 + d*y**3 + 46/3*y**2 = 0. Calculate y.
-7, -2/5, 1/2
Let l = -4588 + 4611. Let f(i) be the first derivative of 1/13*i**4 - 10/13*i**3 - l + 4/13*i**2 + 2/13*i**5 + 8/13*i. Solve f(j) = 0 for j.
-2, -2/5, 1
Let 8/3*g**2 - 2/3*g**4 + 5/9*g**3 + 0 + 1/9*g**5 - 4*g = 0. Calculate g.
-2, 0, 2, 3
Let f(k) be the second derivative of k**5/35 - k**4/42 - 4*k**3/21 - 29*k**2 - 21*k. Let b(x) be the first derivative of f(x). Factor b(g).
4*(g - 1)*(3*g + 2)/7
Suppose -2*i = 8*b - 5*b, 5*i + 5*b = 0. Suppose 208 + i*r - 4*r**2 - 16*r - 220 = 0. Calculate r.
-3, -1
Let f = 301336/3 - 100444. Find y, given that -4/3*y**4 - f*y**3 + 0 + 8*y**2 + 0*y = 0.
-3, 0, 2
Let a(l) be the first derivative of -5*l**4/4 - l**3 - 5*l - 94. Let j(h) be the first derivative of a(h). Factor j(u).
-3*u*(5*u + 2)
Factor 0*r + 1/4*r**4 + 3*r**3 + 5*r**2 + 0.
r**2*(r + 2)*(r + 10)/4
Let m(n) be the second derivative of -n**7/2520 - 7*n**6/360 + 5*n**4 - 64*n. Let i(v) be the third derivative of m(v). Suppose i(r) = 0. What is r?
-14, 0
Let j(m) = -3*m**2 + 120*m + 174. Let i(b) = -3*b**2 + 133*b + 174. Let l(y) = -3*i(y) + 4*j(y). Solve l(c) = 0.
-2, 29
Let i = -719/219 + 9785/2847. Factor -i*f**2 + 8/13 + 6/13*f.
-2*(f - 4)*(f + 1)/13
Let a(m) be the third derivative of 1/1050*m**7 + 1/30*m**4 + 4*m**2 - 9*m + 0 - 1/150*m**6 - 1/300*m**5 + 0*m**3. Factor a(o).
o*(o - 4)*(o - 1)*(o + 1)/5
Let r(d) = -11*d - 20. Suppose 9*s - 15*s = 48. Let l be r(s). Find u such that -45*u + 4 + 90*u**4 - 21*u**5 + 120*u**2 - l*u**3 - 37*u**3 + 2 - 45*u**3 = 0.
2/7, 1
Let p(z) be the second derivative of z**5/40 - 29*z**4/6 + 3245*z**3/12 + 3481*z**2/2 + 68*z + 26. Factor p(s).
(s - 59)**2*(s + 2)/2
Let p(i) be the second derivative of -i**4/12 + 499*i**3/2 - 748*i**2 - 2805*i. Solve p(g) = 0.
1, 1496
Let t be 266/133 - (-1 - 0 - 0). Suppose -20 = -4*x - 4*i, 7*i - t*i - 20 = x. Factor 3/2*o**2 + x*o - 2 - 1/2*o**3.
-(o - 2)**2*(o + 1)/2
Let j(b) be the third derivative of -1/5*b**5 + 11/120*b**6 - 2/105*b**7 + 0*b**3 + 0 + 3/16*b**4 + 5*b + 1/672*b**8 + 5*b**2. Solve j(r) = 0 for r.
0, 1, 3
Solve 2747*n**2 + 147*n**3 + n**4 + 2800*n**2 + 2*n**4 + 111*n**3 = 0.
-43, 0
Let y(h) be the third derivative of -h**7/1260 + 7*h**6/360 - h**5/6 + 37*h**4/24 - 19*h**2. Let b(q) be the second derivative of y(q). Factor b(f).
-2*(f - 5)*(f - 2)
Find l such that 64/3*l - 10/3*l**4 + 32/3 - 8/3*l**3 + 32/3*l**2 - 2/3*l**5 = 0.
-2, -1, 2
Solve -34*c**4 + 400*c + 3047 - 318*c**3 - 1123 + 3326 - 920*c**2 + 375*c - c**5 = 0 for c.
-21, -5, 2
Let a(i) = 33*i - 3. Let b(o) = 3*o**2 + o - 1. Let g be b(1). Let u be a(g). Suppose 5*q**3 + 60*q + u + 23*q**2 + 7*q**2 - 56 = 0. What is q?
-2
Let j = 1255134/5 + -251022. Let 26/5*t - 2/5*t**3 - j*t**2 + 0 = 0. What is t?
-13, 0, 1
Let d(t) be the second derivative of -5/12*t**4 + 1/6*t**6 + 0*t**2 - 5/6*t**3 - 9 + 1/4*t**5 - 2*t. Suppose d(p) = 0. What is p?
-1, 0, 1
Suppose 0 = 2*t + 19*t + 2730. Let o be 52/t - (-81)/15. Factor -686/9*c**2 + 2/9*c**o + 98/3*c**3 + 0*c - 14/3*c**4 + 0.
2*c**2*(c - 7)**3/9
Let t(g) be the third derivative of -g**4/24 - 4*g**3/3 - 3*g**2. Let u be t(-10). Let -r + 4*r**2 - 3*r + r - 2 - 5*r**u = 0. Calculate r.
-2, -1
Suppose -5*w = 3*j - 42, 14 = -4*j - 68*w + 73*w. Factor 6/7*l**2 - 8/7*l + 2/7*l**j + 8/7*l**3 - 8/7.
2*(l - 1)*(l + 1)*(l + 2)**2/7
Find o, given that -112377856*o**3 + 3389024*o**2 + 97 - 62048*o**2 + 13 + 3 - 32832*o - 5 = 0.
3/304
Suppose 37*r + 56*r + 11*r + 52 = 364. Find u, given that 57/2*u - 99/2 + 39/2*u**2 + 3/2*u**r = 0.
-11, -3, 1
Solve 53824/3 + 8352*n - 36*n**3 + 1/3*n**4 + 2452/3*n**2 = 0.
-4, 58
Solve 2856*q - 186 + 18 + 3*q**2 - 5542*q + 2764*q = 0 for q.
-28, 2
Let p = -142158 - -1137339/8. Solve -15 + 153/4*i - p*i**2 - 297/8*i**3 + 195/8*i**4 - 9/8*i**5 = 0 for i.
-1, 2/3, 1, 20
Find c such that 2/11*c**5 + 0 + 16/11*c**4 - 36/11*c**2 - 2*c**3 + 0*c = 0.
-9, -1, 0, 2
Let l(i) be the second derivative of 45*i + 2 + 1/6*i**3 + 0*i**2 + 1/12*i**4. Find a such that l(a) = 0.
-1, 0
Let x(b) be the first derivative of 3*b**4/4 + 34*b**3 + 240*b**2 - 7200*b - 2631. Determine k, given that x(k) = 0.
-20, 6
Let k(m) be the first derivative of 5*m**4/24 - m**3/2 - 17*m**2/12 - m/2 + 142. Find o such that k(o) = 0.
-1, -1/5, 3
Factor 9912 + 22346 + 510*l**2 + 32766*l + 95*l**3 - 93*l**3.
2*(l + 1)*(l + 127)**2
Factor 2/19*x**3 + 0*x**2 - 6/19*x + 4/19.
2*(x - 1)**2*(x + 2)/19
Let h(l) be the second derivative of -l**6/1620 + l**5/15 - 3*l**4 + 10*l**3/3 + l**2 + 39*l - 1. Let c(u) be the second derivative of h(u). Factor c(g).
-2*(g - 18)**2/9
Let p be (-33)/6*-1 + 2/4. Factor -5*y**4 - 17*y**3 + 5*y**5 + 11*y**3 + 0*y**5 - p*y**5.
-y**3*(y + 2)*(y + 3)
Let w(o) = 2309*o - 4601*o - 43 + 2306*o + 98 - 5*o**2. Suppose -4*t = -8, 5*t + 3 = 2*f + 15. Let r(p) = p**2 - 1. Let z(a) = f*w(a) - 6*r(a). Factor z(v).
-(v + 7)**2
Let f(c) = -2*c**2 - 30*c + 39. Let a be f(-16). Suppose -a*s = -11*s. Factor -1/12*b**3 + 1/12*b**2 + 0 + s*b.
-b**2*(b - 1)/12
Let o(d) be the third derivative of d**5/75 - 239*d**4/15 + 114242*d**3/15 + 3055*d**2. Let o(c) = 0. What is c?
239
Determine y, given that -80/3*y + 4/9*y**3 + 16/9*y**2 + 0 = 0.
-10, 0, 6
Factor -29*g - 35*g - 38*g**2 - 64*g - 120 - 2*g**3.
-2*(g + 2)**2*(g + 15)
Let m(g) = 17*g - 52. Let r be m(4). Solve r*l + 13*l + 9*l - 35*l - 4 + l**2 = 0.
-4, 1
Let i(l) be the second derivative of -6*l**2 + 0 + 1/21*l**7 - 22*l - 3/5*l**5 + 2/15*l**6 - 19/3*l**3 - 10/3*l**4. What is p in i(p) = 0?
-2, -1, 3
Suppose 3*j - 261 = 5*f, -2*j + 72 = f - 102. Factor 1776 + 275 - 31*s - 115 - 58*s + 4*s**2 - j*s.
4*(