)**3*(u + 2)
Let n(h) be the first derivative of -h**5/25 + h**4/20 + h**3/5 - h**2/10 - 2*h/5 - 512. Factor n(d).
-(d - 2)*(d - 1)*(d + 1)**2/5
Let b = -701/3 + 235. Find r such that 0 - b*r - 2/3*r**2 + 2*r**4 + 8/3*r**3 = 0.
-1, 0, 2/3
Determine u, given that -3/4*u - 7/4*u**2 - 5/4*u**3 - 1/4*u**4 + 0 = 0.
-3, -1, 0
Let k(z) be the first derivative of 1/28*z**4 - 1/7*z**3 - 25 + 1/7*z**2 + 0*z. Find u, given that k(u) = 0.
0, 1, 2
Let k(q) be the third derivative of 2*q**2 + 0*q**4 + 0 - 1/105*q**7 + 1/336*q**8 + 0*q**5 - 1/40*q**6 + 0*q + 0*q**3. Let k(t) = 0. What is t?
-1, 0, 3
Let m(j) = 26*j + 54. Let d be m(-2). Let i(h) be the first derivative of 0*h - 1/10*h**4 - 4 - 2/15*h**3 + 0*h**d. Factor i(g).
-2*g**2*(g + 1)/5
Suppose 6*n - 5*v - 32 = 3*n, n + 3*v = -8. Factor -1/5*b**3 - 1/10*b**2 + 1/5*b + 0 + 1/10*b**n.
b*(b - 2)*(b - 1)*(b + 1)/10
Let m(x) = -7*x**2 + 5. Suppose -3*t = -5*c + 9, -2*c = -5*t - 0*c + 4. Let i(u) = -15*u**2 + 10. Let q(g) = t*i(g) - 5*m(g). Find p, given that q(p) = 0.
-1, 1
Let v(i) be the second derivative of -i**6/15 - 3*i**5/5 - 4*i**4/3 + 2*i**3 + 9*i**2 + i + 25. Factor v(m).
-2*(m - 1)*(m + 1)*(m + 3)**2
Let o = -7829 - -7831. Find c such that -2/3*c + 1/6*c**3 + 0*c**o + 0 = 0.
-2, 0, 2
Factor -32/3*x**2 - 10/3*x**3 - 4 - 34/3*x.
-2*(x + 1)**2*(5*x + 6)/3
Let j(r) be the third derivative of 0*r - 7/102*r**4 - 16*r**2 + 0 + 49/51*r**3 + 1/510*r**5. Let j(y) = 0. Calculate y.
7
Let f(j) be the first derivative of -j**8/5880 - j**7/1470 + j**6/1260 + j**5/210 - 19*j**3/3 - 4. Let n(w) be the third derivative of f(w). Factor n(r).
-2*r*(r - 1)*(r + 1)*(r + 2)/7
Let t = 117 - -227. Let u = t - 2404/7. Factor -8/7 - u*c**2 + 12/7*c.
-4*(c - 2)*(c - 1)/7
Let p(h) = h**2 - 24*h + 133. Let u be p(7). Let r(t) be the second derivative of 0 + 0*t**2 + u*t + 1/16*t**4 + 3/80*t**5 - 1/4*t**3. Factor r(a).
3*a*(a - 1)*(a + 2)/4
Solve 8*o**3 + 2*o**5 - o**4 + 8*o**3 + 8*o**2 + 14*o**4 - 3*o**4 = 0 for o.
-2, -1, 0
Suppose 105*j - 208 = 53*j. Solve 3*x**2 + j - 6*x - 1/2*x**3 = 0.
2
Let s be 8/10*(-50 + 25). Let f = s - -22. Let 0 + 1/3*i**f + 0*i + 1/3*i**3 = 0. Calculate i.
-1, 0
Let l(k) be the third derivative of 1/45*k**3 + 1/900*k**6 + 0*k + 10*k**2 - 1/180*k**4 + 0 - 1/450*k**5. Find y such that l(y) = 0.
-1, 1
Let a be (-1 - -2)*1635/825. Let k = 35/11 - a. Suppose 0 + 0*g**2 - 8/5*g + k*g**3 - 2/5*g**4 = 0. Calculate g.
-1, 0, 2
Let r(p) be the first derivative of -2*p**5/15 - 4*p**4/3 - 10*p**3/3 + 617. Factor r(x).
-2*x**2*(x + 3)*(x + 5)/3
Suppose 27 = -7*m - 57. Let l be (-10)/(-6)*m/(-60). Find d such that l + 1/3*d**2 - 2/3*d = 0.
1
Let q(y) be the first derivative of -y**4/14 + 13*y**2/7 - 24*y/7 - 316. Solve q(u) = 0.
-4, 1, 3
Let m = -31 - 13. Let f = m + 47. Factor 10/3*y + 2/3*y**f + 4/3 + 8/3*y**2.
2*(y + 1)**2*(y + 2)/3
Let x(f) be the first derivative of 2*f**6/15 + 2*f**5/5 - 8*f - 13. Let i(c) be the first derivative of x(c). Factor i(u).
4*u**3*(u + 2)
Let f(w) be the second derivative of -9*w**4/4 + 13*w**3 + 9*w**2/2 - 36*w. Factor f(i).
-3*(i - 3)*(9*i + 1)
Suppose -2 = -2*v, o - 23*v = -21*v. Let z(m) be the first derivative of -4 + 1/2*m**o + 0*m + 1/2*m**3 + 1/8*m**4. Let z(u) = 0. What is u?
-2, -1, 0
Suppose -57 = -6*w + 21. Let b(x) = 23*x**2 + 120*x + 347. Let g(d) = -11*d**2 - 60*d - 174. Let u(p) = w*g(p) + 6*b(p). Factor u(l).
-5*(l + 6)**2
Let s be 5 - 25/(75/14). Factor -s*y**2 + 0 + 0*y - 1/3*y**3.
-y**2*(y + 1)/3
Suppose 172 = -3*y - 137. Let a = 105 + y. Determine j, given that -2/13*j + 4/13 - 2/13*j**a = 0.
-2, 1
Let o(g) be the second derivative of -2*g**2 + 2*g - 11/18*g**4 - 17/9*g**3 - 16. Solve o(y) = 0.
-1, -6/11
Suppose -2*u - 82 = 102. Let o = u - -92. Let o + 1/2*l + 1/2*l**3 + l**2 = 0. Calculate l.
-1, 0
Let n(j) be the first derivative of j**3/9 - 2*j**2/3 - 4*j - 65. Let n(h) = 0. Calculate h.
-2, 6
Let o(n) be the third derivative of n**8/4032 + n**7/84 + n**6/4 + 23*n**5/60 - 5*n**2. Let v(d) be the third derivative of o(d). Solve v(z) = 0.
-6
Let c(a) be the first derivative of -9 - 5*a**2 + 5/3*a**3 + 5*a. Suppose c(b) = 0. Calculate b.
1
Let x(y) be the third derivative of -y**6/120 + y**4/8 + y**3/3 - 10*y**2 + 2*y. Factor x(k).
-(k - 2)*(k + 1)**2
Let x(y) be the third derivative of -1/75*y**5 + 22*y**2 + 1/20*y**4 + 0 - 1/300*y**6 + 0*y**3 + 0*y. Solve x(t) = 0 for t.
-3, 0, 1
Let t = 3729/2 - 1864. Let s(c) be the third derivative of 0*c - 2*c**2 - t*c**4 + 0*c**3 + 0 - 1/20*c**5. Factor s(i).
-3*i*(i + 4)
Let b(n) be the first derivative of n**2/2 + 16*n + 6. Let z be b(-11). Factor 10*u**2 + 5*u + z*u - 8*u**2 - 4*u + 4.
2*(u + 1)*(u + 2)
Suppose 236/13*p**3 + 2/13*p**5 + 360/13*p**2 + 162/13*p + 0 + 40/13*p**4 = 0. Calculate p.
-9, -1, 0
Let x(c) = -6*c**3 + 4*c**2 + 4*c - 4. Let d(j) = -5*j**3 + 3*j**2 + 3*j - 3. Let n(r) = 4*d(r) - 3*x(r). Factor n(f).
-2*f**3
Let n = 37841/31530 - 1/6306. Factor 2/5*l - 6/5 + n*l**2 - 2/5*l**3.
-2*(l - 3)*(l - 1)*(l + 1)/5
Let y(s) be the second derivative of -7*s**4/90 + 11*s**3/45 + 10*s**2/3 + 23*s + 10. Determine i, given that y(i) = 0.
-2, 25/7
Factor 14/5*f**2 - 8/5*f - 56/5 + 2/5*f**3.
2*(f - 2)*(f + 2)*(f + 7)/5
Determine p so that -6608*p**3 - 16*p - 4*p**4 + 3285*p**3 - 32*p**2 + 3303*p**3 = 0.
-2, -1, 0
Let f(v) = v**2 + 1. Suppose 2*c = -5*c + 35. Let m(s) = -s**2 - 4*s - 5. Let d(t) = c*f(t) + m(t). Factor d(r).
4*r*(r - 1)
Let t be 1 - -74 - ((-3)/1 + -1). Suppose -t*b + 16 = -75*b. Factor 0 + 4/9*u + 2/9*u**b + 8/9*u**3 + 10/9*u**2.
2*u*(u + 1)**2*(u + 2)/9
Factor v + v**2 + 13*v**2 - 6*v**2 - 7*v**2 - 3 - 3.
(v - 2)*(v + 3)
Let d(s) = 3*s**2 + 1. Let c be d(1). Suppose -b = -5, -5*j = 2*b - c*b - 5. Factor -16/3*g**4 + 0*g - 7/3*g**5 - 11/3*g**j - 2/3*g**2 + 0.
-g**2*(g + 1)**2*(7*g + 2)/3
Solve 109*o**2 - 36*o - 217*o**2 + 110*o**2 + 162 = 0 for o.
9
Suppose d - 515 = 10*b - 534, 5*b - 2*d = 8. Let 0 + 42/11*k**b - 24/11*k = 0. Calculate k.
0, 4/7
Let c(l) be the third derivative of -l**7/1890 + l**6/540 - l**4/8 - 4*l**2. Let a(o) be the second derivative of c(o). Suppose a(b) = 0. Calculate b.
0, 1
Let d = -7897 + 7899. Factor 0 + 0*r + 27/4*r**d + 3/4*r**4 + 9/2*r**3.
3*r**2*(r + 3)**2/4
Let j(x) be the first derivative of -x**3 + 69*x**2/2 + 72*x - 437. Let j(h) = 0. What is h?
-1, 24
Let h(m) be the first derivative of 2*m**3/21 + 12*m**2/7 - 26*m/7 + 22. Determine q so that h(q) = 0.
-13, 1
Factor -2/11*i**3 - 10 + 218/11*i - 106/11*i**2.
-2*(i - 1)**2*(i + 55)/11
Let f(s) be the second derivative of -1/25*s**5 + 1/150*s**6 + 1/30*s**4 - s + 2/15*s**3 + 15 - 3/10*s**2. Factor f(j).
(j - 3)*(j - 1)**2*(j + 1)/5
Let s = 8317/26 + -637/2. What is r in 4/13 - 28/13*r**3 - 2/13*r**5 + 12/13*r**4 - s*r + 32/13*r**2 = 0?
1, 2
Suppose 0 = -7*c + 40 - 26. Let l(b) be the first derivative of -1/3*b - 1/18*b**3 + 1/4*b**c - 5. Factor l(w).
-(w - 2)*(w - 1)/6
Let j(a) = 7*a**4 - 12*a**3 - a**2 + 12*a. Let t(b) = -20*b**4 + 36*b**3 + 4*b**2 - 36*b. Let z(l) = 8*j(l) + 3*t(l). Factor z(c).
-4*c*(c - 3)*(c - 1)*(c + 1)
Suppose a + 1 - 4 = 0. Factor 3*q**2 - q**3 + 9*q - 3*q**2 - 2*q**a - 6.
-3*(q - 1)**2*(q + 2)
Suppose 4*a = -5*f - 6 + 30, 2*f = -4*a. Let h be (-2)/f - (-72)/32. Let 12 - 24*w - 27*w**h + 17*w**2 - 9*w**3 - 23*w**2 = 0. Calculate w.
-2, 1/3
Let a(t) = 5. Let y(n) = n - 6. Let d(m) = 3*a(m) + 4*y(m). Let b be d(3). Factor 0 + 0*g**2 + 0*g - 2/3*g**b.
-2*g**3/3
Let a be 32/(-10) - (-564)/141. Factor 8/5*c**2 + a*c + 0 + 4/5*c**3.
4*c*(c + 1)**2/5
Find r such that 0*r - 1/7*r**2 + 1/7*r**3 + 0 = 0.
0, 1
Let v(h) = 6*h**3 - 21*h**2 + 9*h + 9. Let d(c) = 3*c**3 - 10*c**2 + 4*c + 4. Let s(w) = 9*d(w) - 4*v(w). Factor s(f).
3*f**2*(f - 2)
Let t(d) be the third derivative of -d**8/2352 - 4*d**7/147 - 89*d**6/210 + 461*d**5/210 + 17*d**4/8 - 21*d**3 - 6*d**2 - 6. Determine g so that t(g) = 0.
-21, -1, 1, 2
Let o be 40/(-30) + 20/6. Let 6*v**o + 2*v**2 - 5*v - 3*v**2 - 10*v + 10 = 0. What is v?
1, 2
Let a(v) = v. Let l = -1 - -5. Let m be a(l). Find g such that 12*g**2 + 4 - 9*g**5 - 6*g - 12*g**4 + 6*g**3 + 9*g - m = 0.
-1, -1/3, 0, 1
Let j(n) = 3*n**2 + 6. Let a be (1 - -3)*(-3)/(-2). Let k(y) be the first derivative of -2*y**3/3 - 5*y - 5. Let t(u) = a*k(u) + 5*j(u). Factor t(h).
3*h**2