vative of 0*z - 1/28*z**6 - 27/28*z**4 - 9/35*z**5 + 0 - 39*z**2 - 27/14*z**3 - 1/490*z**7. Factor u(l).
-3*(l + 1)*(l + 3)**3/7
Let g(b) = 2*b**3 - 5*b**2 - 10*b - 1. Let p be g(5). Factor 2*w**5 + 77*w**3 + 6*w**4 - p*w**3 + w**5.
3*w**3*(w + 1)**2
Let l be ((-8)/(-30))/(((-88)/(-36))/11). Let w(i) be the first derivative of -3/4*i**4 + 1 - l*i**5 + 0*i**2 + 0*i + 0*i**3. Factor w(y).
-3*y**3*(2*y + 1)
Suppose 0 = x - 7*z - 3, x + 2*z - 10 = -7. Determine s so that 0 + 2/7*s + 6/7*s**2 + 6/7*s**x + 2/7*s**4 = 0.
-1, 0
Let a(l) be the second derivative of l**7/280 - l**6/60 + 3*l**3 + 20*l. Let c(i) be the second derivative of a(i). Suppose c(d) = 0. Calculate d.
0, 2
Let o(x) be the first derivative of -x**5/4 + 5*x**4/4 - 5*x**3/2 + 5*x**2/2 - 26*x - 40. Let a(s) be the first derivative of o(s). Find p such that a(p) = 0.
1
Let o(c) = -28*c**2 - 394*c + 18824. Let h(q) = -5*q**2 - q + 1. Let b(r) = 6*h(r) - o(r). Let b(m) = 0. What is m?
97
Let 135/4*m**2 + 126*m + 3/4*m**3 + 123 = 0. Calculate m.
-41, -2
Let u(v) be the first derivative of -5/4*v**4 + 0*v**3 - 2 + 0*v + 0*v**2 + 1/2*v**5. Determine x, given that u(x) = 0.
0, 2
Let k(p) = p**2 + p - 20. Let t be k(5). Suppose t = 2*s, 5*g = -s + 25 - 10. Factor -1/2*b**3 + 1/2*b**4 - 3/2*b**g + 5/2*b - 1.
(b - 1)**3*(b + 2)/2
Let k(o) be the third derivative of o**7/735 - o**6/420 - o**5/21 - 2*o**4/21 + 269*o**2. Let k(r) = 0. What is r?
-2, -1, 0, 4
Let v(a) be the third derivative of 0*a**3 + 0*a - 5*a**2 - 1/8*a**4 - 1/60*a**5 + 0. Let v(s) = 0. Calculate s.
-3, 0
Let s(v) be the first derivative of v**3/3 + 15*v**2 + 225*v - 37. Factor s(m).
(m + 15)**2
Suppose -w + 3*u - 96 = -74, 20 = -2*w + 3*u. Solve 0*f + 0*f**w - 4/5*f**4 + 0 - 2/5*f**3 - 2/5*f**5 = 0.
-1, 0
Suppose 8*w - 38 - 34 = 0. Solve -w*x - 2*x**2 - 17*x**3 + 14*x**2 + 14*x**3 = 0 for x.
0, 1, 3
Factor -2/9 + 6*g**2 + 52/9*g.
2*(g + 1)*(27*g - 1)/9
Let h = 7571/3 + -2575. Let n = h - -52. Find m such that -m**3 + 4/3*m**2 - n + 1/3*m = 0.
-2/3, 1
Suppose -3*z + 12 = 8*c - 7*c, -3*c + 20 = 5*z. Solve c + 2*p**2 - 2/3*p + 2/3*p**4 - 2*p**3 = 0 for p.
0, 1
Let s(y) be the first derivative of -1/22*y**4 - 10/33*y**3 + 10/11*y + 1/11*y**2 + 35. Solve s(m) = 0.
-5, -1, 1
Let l(p) = p - 12. Let k be l(15). Suppose 4/3*w**2 - 4/3*w**4 + 0 - 2/3*w**5 + 0*w**k + 2/3*w = 0. Calculate w.
-1, 0, 1
Let a(c) be the first derivative of c**4/24 + 4*c**3/9 + 4*c**2/3 - 379. What is l in a(l) = 0?
-4, 0
Let a(d) = 22*d**2 + 2*d. Let z be a(-1). Suppose 5*p + 4*f = z, -3*p - 2*f + 13 = 1. Factor 0 - 1/6*v**2 - 1/6*v**p + 0*v - 1/3*v**3.
-v**2*(v + 1)**2/6
Let v = 840 - 838. Let a(o) be the third derivative of 0*o - 10*o**v - 1/60*o**6 + 8/525*o**7 + 1/150*o**5 + 0*o**3 + 0 - 1/210*o**8 + 0*o**4. Factor a(g).
-2*g**2*(g - 1)*(2*g - 1)**2/5
Let n(s) be the third derivative of 0*s**4 + 0*s**3 + 1/60*s**5 - 1/280*s**7 + 0*s**6 + 0 + 0*s - 1/1344*s**8 - 13*s**2. Factor n(d).
-d**2*(d - 1)*(d + 2)**2/4
Let w(s) = 7*s**2 - 521*s - 519. Let o(p) = -48*p**2 + 3644*p + 3632. Let y(j) = 3*o(j) + 20*w(j). Factor y(v).
-4*(v - 129)*(v + 1)
Let l = -345/109 + 4159/763. Factor 2/7*o**2 + 32/7 - l*o.
2*(o - 4)**2/7
Suppose -4*n + 2 = -2. Suppose -n = -b + 2. Let -s**b - 4*s**4 + 9*s**3 - 4*s**2 - 2*s**3 + 2*s**4 = 0. What is s?
0, 1, 2
Let n = -3397 + 3399. Factor 1/3*v**2 - n*v + 3.
(v - 3)**2/3
Let y(f) be the second derivative of 4*f**6/45 - 17*f**5/30 + 3*f**4/2 - 19*f**3/9 + 5*f**2/3 - 89*f. Factor y(r).
2*(r - 1)**3*(4*r - 5)/3
Let o be 59/42 - 134/(-1407). Factor 9*b**3 - 6 - o*b**4 + 18*b - 39/2*b**2.
-3*(b - 2)**2*(b - 1)**2/2
Suppose 3*j - 13 = -5*k, -3*k - 5*j + 14 - 3 = 0. Factor 15 - 6*c + 3/5*c**k.
3*(c - 5)**2/5
Let v(j) be the first derivative of -15 + j**3 + 12*j + 15/2*j**2. Suppose v(m) = 0. Calculate m.
-4, -1
Let w(f) = 22*f**2 - 204*f + 630. Let j(d) = 14*d**2 - 137*d + 420. Let x(b) = -8*j(b) + 5*w(b). Determine o so that x(o) = 0.
3, 35
Solve 55/2*j - 15*j**2 - 15 + 5/2*j**3 = 0 for j.
1, 2, 3
Let n = -13/2 - -7. Let x = 883/2 + -441. Factor 1/2*i**3 + 0*i + 0 - x*i**5 + n*i**2 - 1/2*i**4.
-i**2*(i - 1)*(i + 1)**2/2
Let b(h) be the first derivative of -h**4 - 8*h**3 + 6*h**2 - 16*h - 2. Let r(w) = w**3 + w**2 + w + 1. Let o(y) = b(y) + 8*r(y). Factor o(g).
4*(g - 2)*(g - 1)**2
Let c(j) be the first derivative of 1/2*j**2 - 1/12*j**5 + 0*j + 0*j**3 + 12 + 5/12*j**4. Let b(u) be the second derivative of c(u). Factor b(i).
-5*i*(i - 2)
Let y(c) = c**2 - 3*c - 100. Let n(u) = -10*u**2 + 25*u + 900. Let l(x) = 4*n(x) + 35*y(x). Factor l(a).
-5*(a - 4)*(a + 5)
Factor 6 - 1/3*z**4 - 1/3*z**2 - 5/3*z**3 + 7*z.
-(z - 2)*(z + 1)*(z + 3)**2/3
Let n(s) be the first derivative of 65/2*s**2 + s**5 - 30*s - 5/4*s**4 - 35/3*s**3 - 4. Factor n(l).
5*(l - 2)*(l - 1)**2*(l + 3)
Suppose 0 = -11*x - 18 + 73. Let m(n) be the second derivative of -3*n**2 - 11/2*n**3 - n - 21/4*n**4 - 51/20*n**x - 1/2*n**6 + 0. What is i in m(i) = 0?
-1, -2/5
Let q be (-4)/(-5)*(-12249)/(-36). Let o = -270 + q. Let 0 - 7/5*g**2 + 9/5*g**5 - o*g**3 + 7/5*g**4 + 2/5*g = 0. What is g?
-1, 0, 2/9, 1
Let b = 10 + -10. Suppose 3*u + 6 - 18 = b. Find v, given that 2 - 6*v + 2 + 24*v**3 + 16*v**u + 1 + v**2 - 4 = 0.
-1, 1/4
Let 32/9*b**3 - 2/9*b**4 + 0*b - 128/9*b**2 + 0 = 0. Calculate b.
0, 8
Let z be (-4 + 3)/1*-2. Factor 3*i**3 - 20*i**z - 25*i - 9*i**3 + i**3 - 10.
-5*(i + 1)**2*(i + 2)
Let z(x) = 278*x - 832. Let f be z(3). Solve 0 + 8/9*r + 2/9*r**3 + 8/9*r**f = 0.
-2, 0
Suppose 663*c - 86*c + 300 + 4*c**3 + 52*c**2 - 357*c = 0. Calculate c.
-5, -3
Let l(y) be the third derivative of -y**7/70 - y**6/4 + 9*y**5/5 - 19*y**4/4 + 13*y**3/2 + 15*y**2 + 8. Determine o, given that l(o) = 0.
-13, 1
Let j(l) = 4 - l**3 - 3 - l - 57*l**2 + 59*l**2 + 3. Let z be j(2). Solve -7*g + 5*g + 3*g**4 + 5*g - 3*g**3 - 2*g**2 - g**z = 0 for g.
-1, 0, 1
Let a be 6/(-10)*(9 + 28/(-3)). What is h in 1/5*h - 1/5 - 1/5*h**3 + a*h**2 = 0?
-1, 1
Let s(o) be the first derivative of o**8/168 - o**7/105 - o**6/20 + o**5/30 + o**4/6 - 11*o**2/2 - 29. Let l(b) be the second derivative of s(b). Factor l(c).
2*c*(c - 2)*(c - 1)*(c + 1)**2
Let w = -1838 + 5516/3. Let 0*p + 0*p**3 + 0 - 1/3*p**5 + w*p**4 + 0*p**2 = 0. Calculate p.
0, 2
Let m(w) be the second derivative of w**6/1260 - w**5/420 + 3*w**3/2 + 5*w. Let x(a) be the second derivative of m(a). Factor x(q).
2*q*(q - 1)/7
Let d(h) be the second derivative of -h**4/42 - 4*h**3/21 + 75*h. Factor d(u).
-2*u*(u + 4)/7
Let c be ((-1)/((-3)/(-3)) + 4)/1. Let m(b) be the second derivative of 0 + 0*b**2 - 1/8*b**4 - 2*b + 3/4*b**c. Factor m(v).
-3*v*(v - 3)/2
Suppose -3*c = 3*g + 6, 5*c + g = 3*g - 10. Let x be 194 + (-2)/c - 3. Factor -x*o**3 - 144*o**2 - 5 + 2 - 29*o - 7*o.
-3*(4*o + 1)**3
Suppose -18 = -5*a - a. Factor -2*n**2 - 2*n**4 + 0 + 0 + 0*n**2 + 4*n**a.
-2*n**2*(n - 1)**2
Factor 3/5*x**2 - 126/5 + 3/5*x.
3*(x - 6)*(x + 7)/5
Let d be 2/(-7)*(-10 - 92/(-12)). Let o = -1 - -1. Factor o - 1/3*a**2 + d*a.
-a*(a - 2)/3
Let w be 1*(-3 + 2) + 3. Let m be (7*4/70)/(16/10) - -6. Determine f, given that -5/4*f - m*f**3 - 15/2*f**w + 0 = 0.
-1, -1/5, 0
Let q(p) be the third derivative of 0*p + 11/225*p**6 + 16/45*p**3 + 8*p**2 + 0 + 16/75*p**5 + 4/9*p**4 + 1/225*p**7. Determine i so that q(i) = 0.
-2, -2/7
Suppose -256 = -4*m + 3*m. Suppose -12*t = -16*t + m. Factor t + 0*l**2 + 15*l + 4*l + 13*l + 4*l**2.
4*(l + 4)**2
Let i(x) = 5*x**3 + 22*x**2 - 39*x + 28. Let y(f) = 11*f**3 + 45*f**2 - 78*f + 58. Let g(q) = -9*i(q) + 4*y(q). Factor g(b).
-(b - 1)**2*(b + 20)
Suppose 0 = 3*x - 3*c + 7*c - 10, -4*c + 2 = -x. Factor 3*o**x - 17*o + 36*o - 7*o - 15.
3*(o - 1)*(o + 5)
Suppose 2*v - 2*c - 24 = 36, -3*v = 3*c - 90. Let f be ((2/v)/((-3)/(-10)))/1. Factor f*r**2 + 0 + 2/9*r.
2*r*(r + 1)/9
Let h(q) be the second derivative of 13*q**5/10 + 8*q**4 + 12*q**3 - 16*q**2 + 106*q. Solve h(d) = 0.
-2, 4/13
Let c(d) = -17*d**3 + 29*d**2 - 25*d. Let b(y) = 11*y - 9*y**3 - 15*y + 3*y**2 - 8*y + 12*y**2. Let s(u) = -13*b(u) + 6*c(u). Determine w, given that s(w) = 0.
0, 2/5, 1
Let a(p) be the first derivative of 0*p + p**2 - 8/3*p**3 + 43 + 3*p**4 + 1/3*p**6 - 8/5*p**5. Factor a(v).
2*v*(v - 1)**4
Suppose 120 = 61*r + 120. Let 4/13*b**2 - 2/13*b**3 + r - 2/13*b = 0. Calculat