 0*z**3 + 1/10*z**6 + 0*z**4 + 1/14*z**7. Let w(u) = 0. Calculate u.
-2, 0, 1
Let q = 5157/10330 - -4/5165. Find u, given that -q*u**4 - 2 + 3/2*u**2 - u**3 + 2*u = 0.
-2, 1
Let f(n) be the first derivative of -2*n**6/45 - n**5/15 + n**4/9 + 2*n**3/9 - 3*n - 1. Let k(i) be the first derivative of f(i). Factor k(z).
-4*z*(z - 1)*(z + 1)**2/3
Let u(g) = -13*g**4 - 59*g**3 + 63*g**2 + 3*g + 3. Let h(p) = -23*p**4 - 117*p**3 + 125*p**2 + 5*p + 5. Let s(r) = -3*h(r) + 5*u(r). Factor s(i).
4*i**2*(i - 1)*(i + 15)
Let b = 432 - 430. What is s in -4/5 - 3/5*s + 1/5*s**b = 0?
-1, 4
Let 10/3*k**3 + 14/3*k - 6*k**2 - 4/3 - 2/3*k**4 = 0. What is k?
1, 2
Let s = 2642 + -2642. Factor 0*w - 3/5*w**4 - w**5 + 2/5*w**3 + s + 0*w**2.
-w**3*(w + 1)*(5*w - 2)/5
Let i(o) = -11*o**4 + 4*o**4 - 1 + 6*o**4 + 3*o - 4*o - o**5. Let r(q) = -6*q**5 + 21*q**4 - 3*q**3 + 6*q + 6. Let j(a) = -6*i(a) - r(a). Factor j(c).
3*c**3*(c - 1)*(4*c - 1)
Let n(c) be the second derivative of -c**8/20160 - c**7/2520 - c**6/1080 - 19*c**4/12 + 27*c. Let x(p) be the third derivative of n(p). Solve x(t) = 0 for t.
-2, -1, 0
Let o(p) = p - 1. Let f(c) = -18 - c**2 - 30*c + 62*c - 29*c. Let t(b) = -2*f(b) + 18*o(b). Factor t(w).
2*(w + 3)**2
Let q(x) be the third derivative of 0*x + 1/15*x**5 + 2/15*x**6 + 0*x**3 + 0 - 11*x**2 - 1/3*x**4 - 2/35*x**7. Solve q(f) = 0.
-2/3, 0, 1
Let r(y) be the first derivative of -1/4*y**4 + 0*y + 7 + 1/2*y**2 + 1/20*y**5 + 1/2*y**3. Let h(d) be the second derivative of r(d). Factor h(q).
3*(q - 1)**2
Let f be 30/(-20) - (-156)/(-8). Let g be (4 - 5)/(f/12). Factor -2/7*z**2 - 6/7*z - g.
-2*(z + 1)*(z + 2)/7
Suppose -251 + 89 = 2*g. Let p = g + 83. Let p + 7/2*s**2 - 8*s = 0. Calculate s.
2/7, 2
Let m be (-2)/10 + (-161)/(-945)*9. Let f(s) be the second derivative of 1/42*s**7 + 3*s + 1/5*s**6 + 3/2*s**3 + 0 + m*s**4 + 7/10*s**5 + s**2. Factor f(o).
(o + 1)**4*(o + 2)
Let j(s) be the third derivative of -343*s**6/40 + 147*s**5/20 - 21*s**4/8 + s**3/2 + 123*s**2. Factor j(r).
-3*(7*r - 1)**3
Factor -3 + 1/2*l**2 + 5/2*l.
(l - 1)*(l + 6)/2
Let a(h) be the third derivative of h**5/40 - 7*h**4/8 - 233*h**2. Factor a(z).
3*z*(z - 14)/2
Let u be (-8)/(-5)*(0 + (8 - 3)). Find h, given that -17*h**3 - u*h**2 + 4*h + 12*h**3 + 9*h**3 = 0.
0, 1
Let n(z) be the third derivative of -z**6/24 - 60*z**2. Factor n(o).
-5*o**3
Let f(h) be the third derivative of h**7/4620 + h**6/660 + 7*h**3/3 - 11*h**2. Let w(x) be the first derivative of f(x). What is k in w(k) = 0?
-3, 0
Let g(n) be the first derivative of -1/16*n**4 - 12 + 0*n - 1/8*n**2 - 1/6*n**3. Factor g(t).
-t*(t + 1)**2/4
Suppose 0 = -3*q + z + 25, -74 = -5*q + 2*z - 31. Let l = -5 + q. Let -r + r - 3*r**2 - l*r**4 + 5*r**4 = 0. Calculate r.
-1, 0, 1
Let c(q) be the second derivative of -q**4/84 - 17*q**3/21 + 5*q**2/2 + 7*q - 4. Factor c(o).
-(o - 1)*(o + 35)/7
Let k(o) = -o - 2. Suppose 3*n + 9 + 3 = 0. Let s be k(n). Factor g - g**s - 3*g**2 + 3*g**2 + 0*g**2.
-g*(g - 1)
Let s(k) be the third derivative of k**5/450 - 16*k**4/45 + 1024*k**3/45 - 54*k**2. Suppose s(w) = 0. Calculate w.
32
Let m(d) be the third derivative of -d**8/96 - 149*d**7/420 + 119*d**6/240 + 193*d**5/120 - 7*d**4/3 - 11*d**3/3 + 179*d**2. Let m(z) = 0. What is z?
-22, -1, -2/7, 1
Let c(r) be the third derivative of r**7/168 - r**6/72 - 7*r**3/3 + 11*r**2. Let o(d) be the first derivative of c(d). Factor o(b).
5*b**2*(b - 1)
Let j = 18679 - 37357/2. Let -3/2*f**2 - 3*f + 4 + j*f**3 = 0. Calculate f.
-2, 1, 4
Let t(o) = -o**2 - 16*o + 263. Let z be t(-26). Determine v, given that 1 - 1/2*v**z + 3/2*v**2 - 1/2*v**4 + 5/2*v = 0.
-1, 2
Let p(u) be the second derivative of u**8/2240 - u**7/120 + u**6/15 - 3*u**5/10 + u**4/3 - 13*u. Let w(a) be the third derivative of p(a). Factor w(d).
3*(d - 3)*(d - 2)**2
Let b(f) be the second derivative of -1/4*f**4 - 7/120*f**5 - 1/180*f**6 + 0 + 8*f - 5/9*f**3 - 2/3*f**2. Solve b(u) = 0 for u.
-2, -1
Let j = 377/28980 + -6/805. Let l(v) be the second derivative of -1/18*v**3 - 5*v + 1/60*v**5 + 0 + 1/18*v**4 - 1/4*v**2 - j*v**6. Find s, given that l(s) = 0.
-1, 1, 3
Factor 16/7 + 12/7*w - 12/7*w**3 - 20/7*w**2 + 4/7*w**4.
4*(w - 4)*(w - 1)*(w + 1)**2/7
Let k(x) be the first derivative of -x**7/2940 - x**6/1260 + x**5/210 + x**3 - 2. Let g(p) be the third derivative of k(p). Factor g(d).
-2*d*(d - 1)*(d + 2)/7
Let h(o) = -11*o - 41. Let m be h(-4). Let i(d) be the third derivative of 0*d + 0 + 1/100*d**5 - 3/40*d**4 + 1/5*d**m - 2*d**2. Factor i(s).
3*(s - 2)*(s - 1)/5
Let d(h) be the first derivative of 2*h**3/3 - 2*h**2 + 2*h + 42. Factor d(v).
2*(v - 1)**2
Let y(q) = 2*q**2. Let f(n) = -2*n**3 - 30*n**2 + 18*n + 28. Let b(k) = -2*f(k) - 18*y(k). Suppose b(s) = 0. Calculate s.
-7, -1, 2
Let m(z) = z**3 - 14*z - 10. Let s be m(-3). Let d(p) be the third derivative of 4/15*p**3 + 0 + 1/15*p**4 + 0*p + 1/150*p**s - 3*p**2. Factor d(l).
2*(l + 2)**2/5
Let q(n) be the second derivative of -2*n**6/45 - 4*n**5/3 - 17*n**4/3 - 51*n + 1. Factor q(t).
-4*t**2*(t + 3)*(t + 17)/3
Let x(o) = 169*o - 17235. Let d be x(102). Find f, given that 16/7*f**2 - 8/7*f + 0 + 2/7*f**5 - 6/7*f**d - 4/7*f**4 = 0.
-2, 0, 1, 2
Suppose 0 = -15*t + 3*t + 84. Determine j, given that 41*j**3 + 4*j**4 + 16*j - t*j**2 + 39*j**2 - 21*j**3 = 0.
-2, -1, 0
Let t(w) be the first derivative of 3*w**5/35 + 3*w**4/7 + 2*w**3/7 - 6*w**2/7 - 9*w/7 + 82. Suppose t(q) = 0. Calculate q.
-3, -1, 1
Let g be (0 - 3)*2*(-16)/48. Let l(a) be the second derivative of -1/2*a**g + 1/3*a**3 - 1/12*a**4 - a + 0. Factor l(d).
-(d - 1)**2
Let v(m) be the first derivative of -m**6/2 - 12*m**5/5 - 3*m**4 + 2*m**3 + 15*m**2/2 + 6*m + 74. Suppose v(x) = 0. What is x?
-2, -1, 1
Let r(n) = 5*n**2 + 38*n + 14. Let v(q) = -6*q**2 - 38*q - 16. Let c(p) = -4*r(p) - 5*v(p). Determine b so that c(b) = 0.
-3, -4/5
Let q be 44/10*(-25)/(-10). Let n(m) = 35 + 11*m**2 - 43*m + 16 + 14*m - m**2. Let t(c) = 2*c**2 - 6*c + 10. Let x(v) = q*t(v) - 2*n(v). Solve x(r) = 0.
2
Let l = 9514 + -9512. Find n such that -1/4 + 0*n + 1/4*n**l = 0.
-1, 1
Let d(r) be the third derivative of r**8/30240 - r**7/2268 + r**6/405 - r**5/135 - 9*r**4/8 - 6*r**2. Let f(m) be the second derivative of d(m). Factor f(l).
2*(l - 2)**2*(l - 1)/9
Let a(t) be the first derivative of t**4/4 + 4*t**3/3 - 5*t**2/2 - 37. What is d in a(d) = 0?
-5, 0, 1
Let f(b) be the first derivative of b**4/22 - 46*b**3/33 + 13*b**2 - 22*b - 341. Let f(c) = 0. What is c?
1, 11
Suppose 0 = -3*g + 5*p + 50, -5*g + g + 3*p = -63. Let r = 17 - g. Let 7 - 4 - 2 + r*k**2 - k**4 - 2 = 0. What is k?
-1, 1
Let j be -1 + -10 + 7 + 6. Find p, given that -2/17*p**3 - 16/17*p + 8/17 + 10/17*p**j = 0.
1, 2
Factor -3 - 9*r - 15/4*r**2.
-3*(r + 2)*(5*r + 2)/4
Let y be 4/18*(27/12)/1. Factor 1/2*p**4 + y*p**3 + 0 - 1/2*p**2 - 1/2*p.
p*(p - 1)*(p + 1)**2/2
Let t(v) be the third derivative of -v**8/7560 - v**7/1260 + v**6/405 - v**3/3 + 2*v**2. Let c(o) be the first derivative of t(o). Let c(k) = 0. Calculate k.
-4, 0, 1
Let l(q) be the third derivative of 4*q**2 - 1/15*q**5 - 2*q**4 + 0 + 0*q - 24*q**3. Factor l(f).
-4*(f + 6)**2
Let f(h) be the third derivative of -3/20*h**4 + 3/100*h**6 + 0 + h**2 + 1/75*h**5 + 0*h - 4/525*h**7 + 2/15*h**3. Suppose f(u) = 0. Calculate u.
-1, 1/4, 1, 2
Let w(m) be the second derivative of 2/45*m**3 + 5*m + 0 - 1/90*m**4 + 1/5*m**2. Determine o, given that w(o) = 0.
-1, 3
Let w = -15 - -14. Let r(a) = -6*a - 2. Let l be r(w). Factor -4*o**2 + 9 - 6*o - 3*o**2 + l*o**2 + 0*o.
-3*(o - 1)*(o + 3)
Let o(t) be the third derivative of 7/108*t**4 - 1/540*t**6 + 0 + 2/9*t**3 - 14*t**2 + 0*t + 0*t**5. Factor o(m).
-2*(m - 3)*(m + 1)*(m + 2)/9
Let y be 3/(-24) - 3*5/(-120). Let x(v) be the third derivative of 0*v**3 - 1/30*v**5 + 0 - 3*v**2 + 1/120*v**6 + y*v + 1/24*v**4. Suppose x(h) = 0. What is h?
0, 1
Factor 2*u + 12/7 - 2/7*u**3 + 0*u**2.
-2*(u - 3)*(u + 1)*(u + 2)/7
What is r in 97 - 43 + 12 - 27*r - 3*r**2 = 0?
-11, 2
Let v(l) = -4*l**4 - 56*l**3 + 13*l**2 + 65*l - 9. Let h(i) = i**4 + 14*i**3 - 3*i**2 - 16*i + 2. Let d(p) = 18*h(p) + 4*v(p). Factor d(k).
2*k*(k - 1)*(k + 1)*(k + 14)
Let f = 6100/30709 + -22/107. Let o = 2278/2583 - f. Factor 0 + 0*x + 14/9*x**4 - o*x**2 - 8/3*x**3.
2*x**2*(x - 2)*(7*x + 2)/9
Fin