of -c**5/480 + c**4/192 + c**3/24 + 53*c**2. Factor f(k).
-(k - 2)*(k + 1)/8
Let u(c) be the second derivative of -6/5*c**2 + 0 + 19*c + 2/5*c**4 + 1/10*c**5 - 11/15*c**3. Factor u(o).
2*(o - 1)*(o + 3)*(5*o + 2)/5
Let a(k) be the first derivative of 1/15*k**5 - 13 + 0*k**2 + 2*k**3 + 2/3*k**4 - 9*k. Find f such that a(f) = 0.
-3, 1
Let o(q) = -q**3 - 3*q - 1. Let f(c) = -6*c**3 - 21*c**2 - 99*c + 531. Let n(j) = f(j) - 9*o(j). Factor n(p).
3*(p - 6)**2*(p + 5)
Let h(y) be the first derivative of -y**7/840 - y**6/45 + 11*y**3/3 - 5. Let i(r) be the third derivative of h(r). What is o in i(o) = 0?
-8, 0
Let j(w) be the first derivative of -1/8*w**4 + 1/6*w**3 + 0*w + 0*w**2 - 4. Let j(a) = 0. Calculate a.
0, 1
Let k be 30/4*(-16)/(-24). Let r(n) be the third derivative of 0 - n**2 + 0*n**k + 0*n**3 + 1/180*n**4 + 0*n - 1/900*n**6. Factor r(d).
-2*d*(d - 1)*(d + 1)/15
Let h(b) be the third derivative of -b**9/7560 + b**8/560 - b**7/105 + b**6/45 + b**4/4 - 3*b**2. Let r(p) be the second derivative of h(p). Factor r(d).
-2*d*(d - 2)**3
Let r(l) be the second derivative of l**6/6 - l**5 - 55*l**4/12 - 5*l**3 - 91*l. Factor r(o).
5*o*(o - 6)*(o + 1)**2
Let n(c) = 3*c**3 + 477*c**2 + 25278*c + 446634. Let z(v) = 3*v**3 + 477*v**2 + 25279*v + 446633. Let u(d) = -2*n(d) + 3*z(d). Let u(g) = 0. Calculate g.
-53
Let w = -75 - -73. Let l(b) = 8*b**2 + 13*b + 5. Let m(p) = -p**2 - p. Let t(d) = w*l(d) - 14*m(d). Factor t(r).
-2*(r + 1)*(r + 5)
Let a(v) be the third derivative of v**6/360 - v**5/20 - v**4/72 + v**3/2 + 416*v**2. Factor a(k).
(k - 9)*(k - 1)*(k + 1)/3
Let w(z) = -4*z**2 - 2*z + 134. Let a(k) = 9*k**2 - k - 269. Let m(h) = 6*a(h) + 13*w(h). Solve m(f) = 0.
8
Let l(x) be the first derivative of 3*x**5/10 + 15*x**4/4 - 3*x**3/2 - 105*x**2 + 294*x + 117. Solve l(q) = 0 for q.
-7, 2
Let n be 3 + (-3 - 21/(-6))*0. Factor n*p**2 - 54*p + 35*p + 3 + 2 + 1.
(p - 6)*(3*p - 1)
Factor -179 - 295*u**2 + 293*u**2 - 63 - 44*u.
-2*(u + 11)**2
Let v = 5128/7695 + 2/7695. Determine c so that -4/3*c**2 + 0 + 2/3*c + v*c**3 = 0.
0, 1
Let t(k) be the second derivative of k**6/45 + 3*k**5/10 + 23*k**4/18 + 5*k**3/3 - 12*k + 12. Factor t(a).
2*a*(a + 1)*(a + 3)*(a + 5)/3
Let x(p) = 2*p**2 + p + 3. Let r(d) = -3*d**2 - 3*d - 5. Let i(z) = 6*r(z) + 10*x(z). Factor i(f).
2*f*(f - 4)
Let z(y) = -y. Let h be z(-6). Factor -8*b**3 + h*b**3 - 2*b**4 + 2*b**2 - 3*b + 5*b.
-2*b*(b - 1)*(b + 1)**2
Let m = -3 + -1. Let y = -2 - m. Factor -y*x - 6 + 11*x - 6*x**2 + 3*x**2.
-3*(x - 2)*(x - 1)
Let a(h) = -2*h**2 - 51*h - 447. Let z(y) = -12*y**2 - 309*y - 2683. Let r(g) = -34*a(g) + 6*z(g). Factor r(o).
-4*(o + 15)**2
Let n(i) be the third derivative of 2/57*i**3 + 1/570*i**5 + 0 + 0*i - 3*i**2 + 1/76*i**4. Let n(p) = 0. Calculate p.
-2, -1
Suppose -10*b**2 + 119/4*b - 1/4*b**5 + 7/2*b**4 - 23/2*b**3 + 49/2 = 0. Calculate b.
-1, 2, 7
Find r such that -2*r**3 - 39*r**3 - 5*r**4 - 35 - 4*r**3 - 95*r + 5 - 105*r**2 = 0.
-6, -1
Suppose -69*p = -70*p + 3. Let a(x) be the third derivative of 1/6*x**4 + 1/120*x**5 + p*x**2 + 0*x + 4/3*x**3 + 0. Find j, given that a(j) = 0.
-4
Let t(p) be the first derivative of -20*p**6/3 - 210*p**5 + 1925*p**4/4 - 325*p**3 + 70*p**2 + 111. Determine q, given that t(q) = 0.
-28, 0, 1/4, 1/2, 1
Let r be (3 - -2)/((-2)/(-118)). Let i be (-9)/(-2) + r/(-118). Suppose -i*u**3 - 8*u - 8/3 - 22/3*u**2 = 0. What is u?
-2, -1, -2/3
Factor -1/6*u**4 + 0*u + 2/3*u**2 + 0 + 0*u**3.
-u**2*(u - 2)*(u + 2)/6
Suppose -2081 = -10*d + 739. Factor -5*m**4 + 0*m**5 - d + 10*m**2 + 10*m**3 - 5*m**5 + 0*m**4 + 277 - 5*m.
-5*(m - 1)**2*(m + 1)**3
Suppose 4*h + 3*j - 21 = 2*h, j = 5*h - 27. Let w(n) = -n + 1. Let y(t) = 5*t**3 + t - 6. Let z(u) = h*w(u) + y(u). Suppose z(p) = 0. Calculate p.
-1, 0, 1
Factor -245/2*b**2 - 2/5 - 14*b.
-(35*b + 2)**2/10
Let q(m) = -2*m**2 + 44*m + 3. Let j be q(22). Find y, given that 10/3*y**j - 4 + 26/3*y**2 - 2/3*y - 2*y**4 = 0.
-1, 2/3, 3
Let b(l) = -3*l - 12. Let x be b(0). Let y be x/(-15)*(-35)/(-14). Factor 1/4*z**3 + 0 + 1/4*z**5 + 0*z + 0*z**y + 1/2*z**4.
z**3*(z + 1)**2/4
Let q = 3 + 3. Factor 1 - q + 12*w + 0*w**2 - 13 - 2*w**2.
-2*(w - 3)**2
Let v = 126 - 139. Let f be v/78 + (-26)/(-12). Factor 2*b + 0*b**f - 2/3*b**3 + 4/3.
-2*(b - 2)*(b + 1)**2/3
Let y be (7 - 5)*1 - (-1 - 1). Factor -10*n + 12*n**2 + 10*n**3 + 20*n**3 + 9*n**y - 13*n - n.
3*n*(n + 2)**2*(3*n - 2)
Let s(z) = 16*z**3 - 12*z**2 + 45*z + 73. Let k(v) = 9*v**3 - 5*v**2 + 23*v + 37. Let a(t) = 7*k(t) - 4*s(t). Determine l, given that a(l) = 0.
-1, 3, 11
Let i(y) be the second derivative of y**5/30 - 2*y**4/9 - 11*y**3/9 - 2*y**2 - 120*y. Find b, given that i(b) = 0.
-1, 6
Let b = -545052581/462 + 1179768. Let k = -2/231 + b. Determine i so that -k - 1/2*i + i**2 = 0.
-1/2, 1
Let g(s) be the second derivative of -7*s**5/100 - 13*s**4/30 + 43*s**3/30 - s**2 - 202*s. Determine d so that g(d) = 0.
-5, 2/7, 1
Suppose 20*p + 8 = -132. Let d be 0 + 23/7 - (-4 - p). Factor -d*c**4 + 4/7*c**2 + 0*c**3 - 2/7 + 0*c.
-2*(c - 1)**2*(c + 1)**2/7
Let q(x) be the first derivative of 529*x**4/3 - 92*x**3/3 + 3*x**2/2 - 194. Factor q(t).
t*(46*t - 3)**2/3
Let p(f) be the first derivative of 2*f**5/95 - 17*f**4/38 + 62*f**3/57 - 15*f**2/19 - 51. Solve p(k) = 0.
0, 1, 15
Let r(t) be the second derivative of t**6/300 + t**5/150 - t**4/60 - t**3/15 - 9*t**2/2 + 20*t. Let l(f) be the first derivative of r(f). Factor l(x).
2*(x - 1)*(x + 1)**2/5
Let y(c) be the first derivative of -5*c**8/112 + c**7/42 + c**6/8 - c**5/12 - 13*c**2/2 + 14. Let j(v) be the second derivative of y(v). Solve j(s) = 0 for s.
-1, 0, 1/3, 1
Let f(w) be the third derivative of w**7/490 + w**6/140 - 3*w**5/28 - 4*w**4/7 - 8*w**3/7 + w**2 + 38. Determine c, given that f(c) = 0.
-4, -1, 4
Let n be (-8)/10 - 845/(-650). Factor 1/4 - n*q + 1/4*q**2.
(q - 1)**2/4
Let f(r) be the third derivative of r**8/840 - 2*r**7/315 + r**6/72 - r**5/60 - 3*r**4/8 - 15*r**2. Let b(i) be the second derivative of f(i). Solve b(v) = 0.
1/2, 1
Let y(h) be the second derivative of -h**7/98 - 13*h**6/70 - 99*h**5/140 - 31*h**4/28 - 5*h**3/7 - 171*h. Factor y(a).
-3*a*(a + 1)**3*(a + 10)/7
Let t(b) be the third derivative of -1/44*b**4 + 0*b - 1/33*b**3 - 1/110*b**5 + 0 - 1/660*b**6 + 20*b**2. Solve t(n) = 0 for n.
-1
Let c(u) = u**4 - u**3 - u**2 - u - 2. Let b(d) = -5*d**4 + 65*d**3 - 439*d**2 + 1031*d + 4. Let j(m) = -b(m) - 2*c(m). Let j(t) = 0. What is t?
0, 7
Find z, given that -58/19 + 2/19*z**2 + 56/19*z = 0.
-29, 1
Let w(p) = 50*p**5 - 50*p**4 - 35*p**2 - 35. Let a(q) = 3*q**5 - 3*q**4 - 2*q**2 - 2. Let c(y) = 35*a(y) - 2*w(y). Suppose c(b) = 0. What is b?
0, 1
Let n(q) be the first derivative of 5/6*q**3 - 1/10*q**5 + 0*q - 3/4*q**2 - 3 - 1/8*q**4. Factor n(g).
-g*(g - 1)**2*(g + 3)/2
Let h(r) be the third derivative of -r**11/1164240 + r**9/105840 - r**7/17640 - r**5/6 - 12*r**2. Let p(q) be the third derivative of h(q). Factor p(i).
-2*i*(i - 1)**2*(i + 1)**2/7
Let b(s) be the first derivative of -3*s**2 - 17 - 2/5*s**5 + 0*s + 10/3*s**3 - 1/2*s**4. Factor b(v).
-2*v*(v - 1)**2*(v + 3)
Let y(i) = i**3 - 16*i**2 - 15*i + 2. Let n be y(17). Factor 0*p**2 - 3*p**2 + 39*p**3 - n*p**3.
3*p**2*(p - 1)
Let w(a) = -a**3 + 39*a**2 - 2*a + 86. Let f be w(39). Suppose -18/5*j - f*j**2 - 2/5 = 0. Calculate j.
-1/4, -1/5
Let m(q) = 2*q + 18. Let y be m(-8). Factor 16*h**y - 12*h**4 - 70 - 4*h**5 + 70.
-4*h**2*(h - 1)*(h + 2)**2
Let j(w) = w**2 - 1. Let p(d) = -d + 1 - 21*d**2 - 4 + 23*d**2. Let v(x) = 3*j(x) - p(x). Factor v(b).
b*(b + 1)
Solve -48*j - 21*j**4 - 30*j**5 - 19*j**3 + 11*j**5 - 12 - 38*j**3 + 16*j**5 - 75*j**2 = 0 for j.
-2, -1
Let k(q) = q**2. Let m(n) = -16*n**3 - 119*n**2 - 124*n - 24. Let v(z) = -3*k(z) - m(z). Determine h, given that v(h) = 0.
-6, -1, -1/4
Let u(v) = -3*v**3 + 64*v**2 - 1022*v + 2. Let p(h) = 16*h**3 - 320*h**2 + 5109*h - 11. Let w(l) = -4*p(l) - 22*u(l). Factor w(m).
2*m*(m - 32)**2
Determine w so that -1/4*w**4 + 0*w**2 - 1/2*w**3 + 0 + 0*w = 0.
-2, 0
Let r(v) be the third derivative of -v**6/18 - v**5/45 + 5*v**4/18 + 2*v**3/9 - 36*v**2. Factor r(y).
-4*(y - 1)*(y + 1)*(5*y + 1)/3
Let y(a) = a - 6. Let x be y(5). Let z be (2/(-4)*(-11 + 15))/x. Factor 3/5*t**3 - 1/5*t**5 - 4/5*t - 4/5*t**z + 2/5*t*