) be the first derivative of d**6/3 - 16*d**5/5 + 3*d**4 + 80*d**3/3 + 25*d**2 + 187. Factor b(u).
2*u*(u - 5)**2*(u + 1)**2
Factor -192*q**2 - 162163 + 162163 + 188*q + 4*q**3.
4*q*(q - 47)*(q - 1)
Suppose -162 = -7*f - 43. Factor -2*c - f*c + 16*c**3 + 2*c + 20*c**2 - 8 - 11*c.
4*(c - 1)*(c + 2)*(4*c + 1)
Let a(q) = -9*q + 49. Let l be a(5). Let d(v) be the second derivative of 1/35*v**5 - 1/42*v**4 + 1/7*v**2 - 2/21*v**3 + 0 - l*v. Solve d(w) = 0.
-1, 1/2, 1
Factor 9/4*h**3 + 15/4*h + 9/2*h**2 + 3/8*h**4 + 9/8.
3*(h + 1)**3*(h + 3)/8
Let g be 4*(2 + 6/(-4)). Factor 15*o - 4*o**g + 0*o**2 + 5*o - o**2.
-5*o*(o - 4)
Let c = 303 - 299. Let y(t) be the first derivative of 2 - 1/6*t**3 + 1/2*t**c - t**2 + 1/2*t. Factor y(h).
(h - 1)*(h + 1)*(4*h - 1)/2
Let z = -3199/4 + 800. Let s(r) be the second derivative of z*r**4 + 0*r**2 + 1/2*r**3 + 0 + 7*r. Factor s(g).
3*g*(g + 1)
Let a(n) be the second derivative of n**9/5040 + 3*n**8/2240 - n**7/210 - 2*n**4/3 - 7*n. Let c(r) be the third derivative of a(r). Factor c(m).
3*m**2*(m - 1)*(m + 4)
Suppose -15 = -4*x - x. Suppose -8 = x*u - 5*u. Let 20*a - u*a**2 - 20*a + 2*a**2 = 0. What is a?
0
Let c(s) be the first derivative of -21*s**4/4 - 16*s**3 + 78*s**2 + 48*s - 10. Let c(r) = 0. Calculate r.
-4, -2/7, 2
Let z = 61/287 + 18637/1435. Suppose -36/5*b**4 + 0 + 6/5*b**5 + z*b**3 + 0*b - 36/5*b**2 = 0. Calculate b.
0, 1, 2, 3
Let i(o) be the first derivative of -2/5*o**5 + 47 + 4/3*o**3 - o**4 + 1/3*o**6 - 2*o + o**2. Solve i(n) = 0.
-1, 1
Let r(k) = 11*k**4 - 11*k**3 - 15*k**2 + 17*k + 16. Let c(f) = 100*f**4 - 100*f**3 - 135*f**2 + 155*f + 145. Let j(a) = -6*c(a) + 55*r(a). Factor j(u).
5*(u - 2)*(u - 1)*(u + 1)**2
Let k(a) = 2*a**3 - a**2 - a - 1. Let v(p) = 13*p**3 - 38*p**2 - 287*p - 595. Let g(o) = 21*k(o) - 3*v(o). Factor g(j).
3*(j + 3)*(j + 14)**2
Let k be ((-4)/7)/(2/(-28)). Solve 14 + 41*c**2 - 9*c**3 + 57*c - 3 + 4 - k*c**2 = 0 for c.
-1, -1/3, 5
Suppose -4*v - 7 = -g, -4*g + 14 = -9*v + 7*v. Suppose -6*c + 0 + 0*c**2 + 3/2*c**g = 0. Calculate c.
-2, 0, 2
Let d(v) be the third derivative of 0 + 0*v - v**3 + 23*v**2 + 1/20*v**5 - 1/8*v**4. Determine o so that d(o) = 0.
-1, 2
Let t(x) be the first derivative of 4*x**3/21 + 22*x**2/7 + 24. Factor t(p).
4*p*(p + 11)/7
Let u(s) = s**3 - s**2 + s. Let j(b) = -4*b**3 + 48*b**2 - 6*b - 43. Let f(n) = -j(n) - 5*u(n). Let f(t) = 0. Calculate t.
-43, -1, 1
Let t(w) be the second derivative of 0*w**2 - 1/90*w**5 - w + 0 + 1/54*w**4 + 2/27*w**3. Factor t(c).
-2*c*(c - 2)*(c + 1)/9
Let l(w) be the second derivative of -w**5/600 - w**4/240 + 5*w**2/2 + 3*w. Let i(h) be the first derivative of l(h). Suppose i(m) = 0. Calculate m.
-1, 0
Let k be ((-8)/(-84))/((-2)/(-14)). Factor 4/3*u + 2/3*u**2 + k.
2*(u + 1)**2/3
Suppose 0 = -5*l + 18 - 3. Let y be 5 + (-5)/(25/23). Find x such that -2/5*x**2 + 0 + 2/5*x + 2/5*x**4 - y*x**l = 0.
-1, 0, 1
Let o(r) be the third derivative of r**5/16 - 3*r**4/8 - 9*r**3/8 - 225*r**2 + r. Factor o(b).
3*(b - 3)*(5*b + 3)/4
Let b = -9548 - -66908/7. Factor 60/7*t**2 + 16/7 - b*t - 2*t**3.
-2*(t - 2)**2*(7*t - 2)/7
Let a(b) = -b - 5. Let j be a(-5). Let o be 0 + j - (-4 - 136/(-36)). Suppose 2/3*l + 2/9*l**3 - o - 2/3*l**2 = 0. What is l?
1
Let p(w) = -8*w**2 + 12*w + 4. Let x(v) = 5 - 6*v**2 + 13*v + v**3 + 0*v**2 - 6*v**2 + 3*v**2. Let o(n) = 5*p(n) - 4*x(n). Let o(u) = 0. What is u?
-2, 0, 1
Let a(h) be the third derivative of -h**6/30 + 13*h**5/5 - 44*h**4 + 992*h**3/3 - 535*h**2. Solve a(x) = 0 for x.
4, 31
Let p = 435 + -433. Let n(r) be the first derivative of -4 + 0*r**3 + 0*r - 1/6*r**4 + 1/3*r**p. Factor n(z).
-2*z*(z - 1)*(z + 1)/3
Let z(m) be the second derivative of m**4/42 + 19*m**3/42 - 5*m**2/7 + 3*m - 6. Solve z(g) = 0.
-10, 1/2
Suppose g = 4*z - 9, -5*z - 2*g = 2*g - 6. Find p, given that 2*p**z - 4*p - 6 + 6 - 6 = 0.
-1, 3
Factor 19903 + m**2 + 49*m - 9943 - 9950 - 6*m**2.
-(m - 10)*(5*m + 1)
Let j(p) be the second derivative of 1/12*p**4 + 1 + 4/3*p**3 + 7/2*p**2 - 19*p. Factor j(h).
(h + 1)*(h + 7)
Let 2 + 4/3*o - 2/3*o**2 = 0. Calculate o.
-1, 3
Let x(m) be the second derivative of 2*m**6/15 - 2*m**5/5 - 7*m**4/3 + 40*m**3/3 - 24*m**2 + m + 22. Determine o so that x(o) = 0.
-3, 1, 2
Let h = 314 + -310. Let b(z) = -2*z + 14. Let n be b(7). Find x such that -2/5*x**5 + n*x - 2*x**h - 16/5*x**3 - 8/5*x**2 + 0 = 0.
-2, -1, 0
Let -50 + 21*f + 4*f**2 - 73*f - 12 - 58 = 0. Calculate f.
-2, 15
Let r(u) be the second derivative of 0 - 16/33*u**4 + 13/33*u**3 - 2/11*u**2 - 14*u + 19/55*u**5 + 5/231*u**7 - 2/15*u**6. Determine g so that r(g) = 0.
2/5, 1
Let b be (-1 - 0)/(-2) - (-322)/46. Suppose -15/2*v**2 + 5/2*v + b - 5/2*v**3 = 0. What is v?
-3, -1, 1
Let q(j) be the second derivative of 16*j + 0 + 1/3*j**3 - 5*j**2 - 1/120*j**4. Find l such that q(l) = 0.
10
Let b(s) = -s**3 + 14*s**2 - 2*s + 33. Suppose 0 = 9*r - 15*r + 84. Let y be b(r). Factor 4/13*i**2 - 2/13*i**y + 2/13*i + 0*i**3 - 4/13*i**4 + 0.
-2*i*(i - 1)*(i + 1)**3/13
Let g be (-9)/36*2*12/(-14). Factor -12/7*z**2 + 15/7*z - 6/7 + g*z**3.
3*(z - 2)*(z - 1)**2/7
Factor -2692*x**2 + 1339*x**2 - 4*x**3 + 1342*x**2 + x**4 - 6*x.
x*(x - 6)*(x + 1)**2
Let n be 7 - (-10)/(400/(-232)). Let s = 707/5 - 141. Factor -s*f**2 + n*f - 4/5.
-2*(f - 2)*(f - 1)/5
Let h(u) = 4*u**2 - 10. Let w(a) = -a - 5. Let d be w(0). Let f(m) = -9*m**2 + 21. Let s(t) = d*h(t) - 2*f(t). Let s(n) = 0. Calculate n.
-2, 2
Let u(k) = k**3 - 27*k**2 + 72*k - 46. Let m(j) = -6*j**3 + 189*j**2 - 504*j + 321. Let v(c) = -2*m(c) - 15*u(c). Factor v(z).
-3*(z - 4)**2*(z - 1)
Suppose 16 = -27*w + 32*w + 4*u, -w + 4*u - 16 = 0. Factor 1/7*c**2 + 8/7*c + w.
c*(c + 8)/7
Suppose 7 = -3*z - 3*y - 5, -4*y - 34 = -2*z. Let -15*u**2 + 51/2*u - 12 + 3/2*u**z = 0. Calculate u.
1, 8
Let m(z) = z**3 + 4*z + 44*z - 67 + 3*z**3 - 15*z**2. Let t(w) = -101 + 315*w**3 - 48*w + 167 + 14*w**2 - 318*w**3. Let f(j) = -4*m(j) - 6*t(j). Solve f(r) = 0.
4
Factor -19*g**3 - 2631*g**4 - 52*g + 71*g**3 - 60*g**2 + 2635*g**4 + 56.
4*(g - 1)**2*(g + 1)*(g + 14)
Solve -5387*r**3 - 895*r - 6709*r**3 + 1111*r**3 + 40 + 115*r + 5070*r**2 = 0.
2/13
Let v(g) be the first derivative of 8/27*g**3 + 21 - 2/45*g**5 - 1/6*g**4 + 0*g + 0*g**2. Factor v(p).
-2*p**2*(p - 1)*(p + 4)/9
Let i(l) be the third derivative of -l**5/240 - 3*l**4/16 + 148*l**2. Factor i(k).
-k*(k + 18)/4
Let d = 21 - 18. Suppose d*u + 15 = 0, 0 = -w + 5*u - u + 24. Factor 0 + w*r**2 - 1 + 4*r**3 - 4*r - 3.
4*(r - 1)*(r + 1)**2
Let a(g) be the first derivative of 0*g**2 + 1/6*g**3 + 5 + 1/20*g**5 - 1/6*g**4 - 4*g. Let n(z) be the first derivative of a(z). Let n(q) = 0. Calculate q.
0, 1
Let v(x) be the first derivative of 22*x**3/45 + 4*x**2/3 - 8*x/15 + 19. Factor v(m).
2*(m + 2)*(11*m - 2)/15
Let p(k) be the second derivative of k**6/1620 + k**5/135 + k**4/27 + k**3/6 + 7*k. Let l(o) be the second derivative of p(o). Factor l(q).
2*(q + 2)**2/9
Let v(b) be the third derivative of -b**5/75 - 7*b**4/30 + 269*b**2. Factor v(a).
-4*a*(a + 7)/5
Let y be ((-12)/(-9))/(12/9) - -87. Let h = -88 + y. What is s in -2/3*s**2 + h + 2/3*s = 0?
0, 1
Let i be (0 - 10/(-5))/(8 - -3 - 1). Factor 18/5*d - 81/5 - i*d**2.
-(d - 9)**2/5
Let d(c) be the second derivative of -c**6/1620 + c**5/90 - c**4/12 + 3*c**3/2 - 4*c. Let w(z) be the second derivative of d(z). Factor w(q).
-2*(q - 3)**2/9
Factor 2*b**3 - b**4 + 2*b**3 - 16 - 12*b + 7 + 2*b**2.
-(b - 3)**2*(b + 1)**2
Let v(t) = -t**3 + 13*t**2 + 10*t + 60. Let r be v(14). Suppose 0*i**r + 3/5*i + 0 + 3/5*i**5 + 0*i**2 - 6/5*i**3 = 0. What is i?
-1, 0, 1
Let d(a) be the third derivative of a**6/60 + a**5/30 - a**4/3 - 4*a**3/3 + 2*a**2 + 23. Determine p so that d(p) = 0.
-2, -1, 2
Let l = -32 - -38. Solve -10*k**3 + k**4 + 14*k**3 + k**2 - l*k**3 = 0.
0, 1
What is v in 71*v + 17*v**4 + 26*v**5 - 141*v - 2*v**2 + 70*v - 11*v**3 = 0?
-1, -2/13, 0, 1/2
Let f = -145 + 291/2. Let d(u) be the first derivative of -f*u**2 + 1/2*u + 1/6*u**3 + 7. Find y, given that d(y) = 0.
1
Factor -11*s**3 - s**4 + 1062*s**2 - 513*s**2 + 2*s**4 - 9*s - 530*s**2.
s*(s - 9)*(s - 1)**2
Let m = -838 - -840. Let f(v) be the second derivative of -v**4 + 3*v - 8/3*v**m + 0 - 20/9*v**3 - 1/45*v**6 - 7/30*v**5. Determine n, given that f(n) = 0.
-2, -1
Fact