0. Calculate h.
-17, -1, 5
Let s(n) be the third derivative of -n**5/70 - 215*n**4/84 - 142*n**3/21 - 3*n**2 - 31*n. Factor s(g).
-2*(g + 71)*(3*g + 2)/7
Let g(j) be the third derivative of j**5/360 - 3*j**4/2 + 215*j**3/36 + 183*j**2 - 13*j. Factor g(b).
(b - 215)*(b - 1)/6
Let z be (2 + -1 + -2)*0/(720/24). Let l(j) be the third derivative of 21*j**2 + 1/510*j**5 + 0 + 0*j**4 - 1/1785*j**7 + 0*j + z*j**3 + 0*j**6. Factor l(h).
-2*h**2*(h - 1)*(h + 1)/17
Let m = 409 - 311. Let f = -1076/11 + m. Solve -f - 5/11*z - 3/11*z**2 = 0 for z.
-1, -2/3
Factor 65/2*x - 60 - 5/4*x**2.
-5*(x - 24)*(x - 2)/4
Factor -1077/2*v**2 - 2148*v - 1/2*v**3 - 2146.
-(v + 2)**2*(v + 1073)/2
Suppose 107*w - 21 = 104*w. Let d be (w - -3) + (-24)/3. Factor 36/5*y**2 + d + 2/5*y**4 - 16/5*y**3 - 32/5*y.
2*(y - 5)*(y - 1)**3/5
Let f be 8 + 0 + 4 + (-7 - 2). Let p(o) be the first derivative of 0*o**4 + 2/15*o + 0*o**2 - 4/45*o**f + 32 + 2/75*o**5. Find y such that p(y) = 0.
-1, 1
Let r(w) be the second derivative of -3*w**5/20 - 241*w**4/3 - 77119*w**3/6 + 25921*w**2 - 7601*w. Let r(p) = 0. Calculate p.
-161, 2/3
Let v = 2466 + -2466. Let h(f) be the third derivative of 9*f**2 + 0 + 0*f**3 + v*f**4 + 0*f + 1/180*f**5. Factor h(r).
r**2/3
Let s be (2 - -1 - -1 - (-37 - 14336/(-350)))*5. Determine j so that 4*j - s*j**2 - 19/5 = 0.
1, 19
Let x(y) = -y**4 - 82*y**3 - 1648*y**2 - 7974*y - 11031. Let k(v) = -v**3 + v**2 + v - 1. Let r(a) = -6*k(a) + x(a). Factor r(z).
-(z + 3)**2*(z + 35)**2
Let f(b) be the third derivative of b**6/96 + 55*b**5/48 + 245*b**4/12 + 470*b**3/3 + 1539*b**2. Factor f(u).
5*(u + 4)**2*(u + 47)/4
Let l(j) be the first derivative of -3*j**3 - 6*j**2 - 9/2*j - 29 + 0*j**4 + 3/10*j**5. Suppose l(w) = 0. Calculate w.
-1, 3
Let t = 58 - 63. Let d = t - -18. Solve 0 + 0*l + d*l + 2 - 3*l + 8*l**2 = 0.
-1, -1/4
Let p(j) be the first derivative of -1/3*j**3 - 86 + 1/6*j**2 + 14/3*j. Let p(a) = 0. What is a?
-2, 7/3
Let x(w) = -2*w + 1. Let j be x(-1). Let c be (4/(-5))/((4/(-7))/(520/364)). Factor 12*v**4 + 15*v**j + 15*v**3 + 4*v**c - 10*v**3 + 3*v - 7*v.
4*v*(v + 1)**2*(3*v - 1)
Let z = 74 - 50. Suppose -z = -3*t + 3*p, 3*p + 5 = -2*p. Factor 2*k + k**2 - 6 + 0 - t*k.
(k - 6)*(k + 1)
Factor 5/2*k**2 - 5/2 + 12*k.
(k + 5)*(5*k - 1)/2
Let u be 5/(-35) - 90/(-336). Let z(s) be the first derivative of -1/8*s**2 + 1/4*s + 1/20*s**5 - 1/24*s**6 - 1/6*s**3 + u*s**4 - 4. Factor z(c).
-(c - 1)**3*(c + 1)**2/4
Let z(i) be the third derivative of 169*i**8/4032 + 143*i**7/252 + 121*i**6/36 - 61*i**5/20 + 88*i**2. Let j(p) be the third derivative of z(p). Factor j(b).
5*(13*b + 22)**2
Let j = -3/32458 + 259691/292122. Suppose -16/3 - 14/9*w**4 + j*w + 2/3*w**3 - 4/9*w**5 + 52/9*w**2 = 0. What is w?
-2, 1, 3/2
Let o(h) be the second derivative of -h**7/36 + 2*h**6/45 + 13*h**5/120 - h**4/36 - 19*h - 2. Solve o(d) = 0 for d.
-1, 0, 1/7, 2
Let v = -4153526/5 - -830706. Factor -16/5 - 12/5*x + v*x**2.
4*(x - 4)*(x + 1)/5
Let l(v) be the third derivative of -v**6/360 + 127*v**5/180 + 16*v**4/9 - 2*v**2 + v + 272. Factor l(k).
-k*(k - 128)*(k + 1)/3
Factor 5*r**3 - 204*r**2 - 90*r**3 + 67*r**3 - 69*r**2 + 3*r**4.
3*r**2*(r - 13)*(r + 7)
Suppose -11439*h + 22985*h = 11462*h + 168. Solve -23/4*l**2 + h + 5/4*l**3 + 5/2*l = 0 for l.
-2/5, 1, 4
Let c = 343 - 343. Suppose -u - 5*l + 7 = c, -5*l + 4*l = u - 3. Solve 2/7*f**u + 0 + 2/7*f = 0 for f.
-1, 0
Let f(h) be the third derivative of -h**7/1890 - h**6/36 - 109*h**5/540 - 11*h**4/18 - 26*h**3/27 + 3*h**2 + 50. Factor f(v).
-(v + 1)**2*(v + 2)*(v + 26)/9
Let f = -1795 - -1799. Let g(o) be the first derivative of -9 - 1/3*o**f + 16/9*o**3 - 8/3*o**2 + 0*o. Solve g(x) = 0.
0, 2
Factor -134 + 1/2*k**2 - 267/2*k.
(k - 268)*(k + 1)/2
Let k = -31310 + 93934/3. Factor -k*r + 4*r**2 - 5/3*r**4 - r**3 + 0.
-r*(r - 1)*(r + 2)*(5*r - 2)/3
Let t(j) be the first derivative of -j**7/105 - j**6/240 + j**5/30 + j**4/48 - 35*j**2 + 76. Let b(q) be the second derivative of t(q). Factor b(y).
-y*(y - 1)*(y + 1)*(4*y + 1)/2
Let f(a) be the third derivative of 0*a**3 + 0*a + 1/105*a**6 + 15 + 1/42*a**5 - 1/735*a**7 + 9*a**2 + 0*a**4. Factor f(p).
-2*p**2*(p - 5)*(p + 1)/7
Let q(j) be the third derivative of 49*j**6/180 + 427*j**5/90 - 125*j**4/36 + j**3 + 4*j**2 + 20*j. Factor q(y).
2*(y + 9)*(7*y - 1)**2/3
Let c = 1161/10 + -568/5. Let g(a) be the first derivative of -c*a**4 + 5*a**3 + 15*a + 2 + 20*a**2. Factor g(z).
-5*(z - 3)*(z + 1)*(2*z + 1)
Let z(n) = 15*n**2 - 445*n + 963. Let k(g) = -9*g**2 + 223*g - 486. Let p(j) = -7*k(j) - 4*z(j). Factor p(y).
3*(y - 2)*(y + 75)
Let i be (-40)/(-180)*(-5)/(-80)*6. Let j(a) be the second derivative of 5/9*a**4 - 5/6*a**3 + 14*a + 0 + 0*a**2 - i*a**5. Factor j(p).
-5*p*(p - 3)*(p - 1)/3
Let w(q) be the first derivative of 3125*q**6/21 + 13750*q**5/7 + 104375*q**4/14 + 109250*q**3/21 + 10400*q**2/7 + 1352*q/7 + 3667. Factor w(j).
2*(5*j + 1)**3*(5*j + 26)**2/7
Let l(h) = -3*h**2 - 63*h + 30. Let u(x) = -x + 5. Let v = -311 + 305. Let d(k) = v*u(k) + l(k). What is i in d(i) = 0?
-19, 0
Let w be 522/(-54) + 5/(-9 - 171/(-18)). Factor w*s**2 - 2*s + 3.
(s - 3)**2/3
Let c be ((-100)/30)/((-4)/(-24)*-2). Suppose -1330*p = -1325*p - c. Solve -6/7*t + 3/7*t**p + 0 = 0.
0, 2
Let l(x) = -7*x**2 - 15*x + 13. Let m = 248 + -245. Let p(d) = -9*d**2 - 15*d + 12. Let t(h) = m*p(h) - 4*l(h). Factor t(r).
(r - 1)*(r + 16)
Suppose 25*z = 23*z + 62. Let f be -5 - -14 - (3 - 6). Factor -324 + 3*t + 320*t**2 - 63*t + z*t**3 + 41*t**3 - f*t + 4*t**4.
4*(t - 1)*(t + 1)*(t + 9)**2
Let x = 1753 + -92913/53. Let m = 77/318 + x. Factor 0*d + 1/6 - m*d**2.
-(d - 1)*(d + 1)/6
Let f(p) be the third derivative of p**8/112 + p**7/5 + 6*p**6/5 - 7*p**5/10 - 49*p**4/8 - 752*p**2. Find b, given that f(b) = 0.
-7, -1, 0, 1
Let b(m) be the second derivative of m**5/100 - 3*m**4/20 - 121*m**3/3 - 120*m**2 + 11624*m - 2. Determine t, given that b(t) = 0.
-30, -1, 40
Factor -3*a**2 - 855 + 2862*a - 5304*a + 2736*a.
-3*(a - 95)*(a - 3)
Let u(x) be the second derivative of x**6/135 - x**5/30 - 7*x**4/54 + 5*x**3/9 + 2*x**2 - 3*x + 307. Solve u(t) = 0 for t.
-2, -1, 3
Let s(y) be the third derivative of -5/6*y**4 + 46*y**2 + 0 + 1/80*y**5 + 0*y + 13/6*y**3. Factor s(z).
(z - 26)*(3*z - 2)/4
Let a = 24363/115 - 1418/23. Let g = a + -149. Factor -g*h**3 + 4/5*h**2 + 0 - 2*h**4 + 0*h.
-2*h**2*(h + 1)*(5*h - 2)/5
Let c(f) be the third derivative of f**5/510 - 2243*f**4/102 + 5031049*f**3/51 + 2031*f**2 + 2*f. Suppose c(x) = 0. Calculate x.
2243
Let d(g) be the first derivative of 11/16*g**4 + 1/2*g**2 + 0*g - g**3 - 3/20*g**5 - 90. Let d(i) = 0. What is i?
0, 2/3, 1, 2
Let y(n) be the first derivative of -n**4/44 + 5*n**3/11 + 57*n**2/11 - 280*n/11 - 4635. What is a in y(a) = 0?
-7, 2, 20
Let m(r) = -54 + 69 - 20 - 11*r**2 + 89*r. Let k be m(8). Find i, given that 3*i + 9/2*i**2 + 0 - 3/2*i**4 + 0*i**k = 0.
-1, 0, 2
Suppose -177 + 130*x**2 + 124*x**2 + 124*x**2 - 366*x**2 + 705*x = 0. What is x?
-59, 1/4
Let n be ((-3054)/5090)/((-63)/30). Let -20/7*k - 48/7 - n*k**2 = 0. What is k?
-6, -4
Let d be 183/12 - (-20)/(-16). Suppose -3*o + d*o = 22. Let -8*g + 4/3*g**o + 12 = 0. What is g?
3
Let s = -556 - -586. Suppose 7*x = 58 - s. Factor -1/2*m + 0 - 3/2*m**3 - 1/2*m**x - 3/2*m**2.
-m*(m + 1)**3/2
Factor 522*d**2 + 326*d**2 - 5*d - 1777*d**2 + 444*d**2 + 485 + 5*d**3.
5*(d - 97)*(d - 1)*(d + 1)
Let f(x) be the first derivative of -5*x**3/3 + 85*x**2 + 1435*x - 1758. Factor f(h).
-5*(h - 41)*(h + 7)
Let q(v) be the third derivative of 129*v**2 + 1/5*v**3 + 0 + 17/120*v**4 + 0*v + 1/60*v**5. Factor q(z).
(z + 3)*(5*z + 2)/5
Find x such that -5717*x**4 + 2847*x**4 + 2865*x**4 - 840 - 1825*x - 155*x**3 - 1135*x**2 = 0.
-21, -8, -1
Factor -7/2*m + 0*m**2 + 1/2*m**3 - 3.
(m - 3)*(m + 1)*(m + 2)/2
Let n(t) be the first derivative of -309 + 1/6*t**2 + 2*t - 1/27*t**3. Factor n(f).
-(f - 6)*(f + 3)/9
Let f(v) be the third derivative of -v**7/1470 + 19*v**6/840 + v**5/140 - 59*v**4/168 + 19*v**3/21 + 648*v**2. Factor f(h).
-(h - 19)*(h - 1)**2*(h + 2)/7
Let q(j) = -88*j + 3960. Let h be q(45). Let f(k) be the first derivative of 5*k**3 + h*k + 25/16*k**4 + 5/2*k**2 + 25. Solve f(n) = 0.
-2, -2/5, 0
Factor 464/9*d**2 + 0*d + 76/3*d**3 + 0 - 2/9*d**4.
-2*d**2*