 for j.
-5, -2, 0, 1, 20
Let q(m) be the third derivative of -2*m**2 + 6 + 0*m**4 + 0*m + 0*m**5 + 1/1680*m**7 + 0*m**3 - 1/480*m**6. Factor q(v).
v**3*(v - 2)/8
Let t = 631090/13 + -48544. Let l be (10/4)/((-1)/(-2)). Factor 2/13*w**l + t*w**4 + 54/13*w**3 + 0*w + 54/13*w**2 + 0.
2*w**2*(w + 3)**3/13
Let v(t) be the third derivative of -5*t**8/1344 - t**7/60 - t**6/480 + t**5/12 + t**4/8 - 9*t**2 + 153. Find w, given that v(w) = 0.
-2, -1, 0, 6/5
Let p(x) = -17*x**2 + 67*x - 243. Let h(t) = -30*t**2 + 135*t - 485. Let j(d) = 3*h(d) - 5*p(d). Factor j(m).
-5*(m - 8)*(m - 6)
Let h(c) be the first derivative of c**6/3 - 23*c**5/2 - 273*c**4/8 - 185*c**3/6 - 31*c**2/4 - 2064. Determine g, given that h(g) = 0.
-1, -1/4, 0, 31
Let u be (3 - 2) + -7 - -4. Let o be (u - (-190)/90)/(2/66). Factor 17/3*p**3 - 7*p**2 - 2/3 - 5/3*p**4 + o*p.
-(p - 1)**3*(5*p - 2)/3
Let i(z) be the second derivative of z**6/6 + 2*z**5 + 65*z**4/12 + 5*z**3 - 2*z + 4228. Factor i(q).
5*q*(q + 1)**2*(q + 6)
Let h be (4400/(-66))/(-25)*6/40. Factor 0*i**3 + 0 + h*i - 3/5*i**2 + 1/5*i**4.
i*(i - 1)**2*(i + 2)/5
Suppose -4*y + h + 19 + 964 = 0, 3*y - 747 = 4*h. Let r = 247 - y. Factor 12/7 + 4/7*n**r - 16/7*n.
4*(n - 3)*(n - 1)/7
Let f be (-882)/(-90) + (-4)/(-20). Let s(w) be the second derivative of 0 + 1/4*w**5 + f*w + 10/3*w**3 + 0*w**2 - 25/12*w**4. Let s(t) = 0. Calculate t.
0, 1, 4
Find d such that -211*d**2 - 196 + 156 - 18*d + 209*d**2 = 0.
-5, -4
Let o(c) be the second derivative of c**7/1050 - c**6/150 - c**5/15 + 70*c**3/3 + 75*c. Let h(j) be the second derivative of o(j). Factor h(s).
4*s*(s - 5)*(s + 2)/5
Let l(y) be the first derivative of -3*y**5 + 3*y**4/4 + 35*y**3 - 111*y**2/2 + 18*y + 372. Suppose l(h) = 0. Calculate h.
-3, 1/5, 1, 2
Let m = 1527 - 1525. Suppose -14 = 3*h - 5*w, 4*h - 12 = w - m*w. Factor 1/5*z**4 - 1/5*z**h - 2/5*z**3 + 2/5*z + 0.
z*(z - 2)*(z - 1)*(z + 1)/5
Let s(f) be the second derivative of f**7/420 + f**6/90 + f**5/60 - 149*f**3/6 + 121*f. Let o(x) be the second derivative of s(x). Let o(q) = 0. Calculate q.
-1, 0
Let b(z) be the second derivative of -z**6/30 + 2*z**5/5 - z**4 + 2223*z. Factor b(t).
-t**2*(t - 6)*(t - 2)
Let x(b) be the first derivative of 0*b**2 - 40 + 1/6*b**3 + 9/10*b**5 + 0*b - 1/3*b**6 - 3/4*b**4. Factor x(m).
-m**2*(m - 1)**2*(4*m - 1)/2
Let r(t) be the third derivative of -t**8/13440 + t**7/84 - 5*t**6/6 + 11*t**5/30 - 53*t**2. Let x(w) be the third derivative of r(w). Factor x(q).
-3*(q - 20)**2/2
Let q = 2461/4351 - 9/229. Factor -2/19*n**4 + q*n**3 - 2/19*n**5 + 8/19 - 16/19*n + 2/19*n**2.
-2*(n - 1)**3*(n + 2)**2/19
Let m = 684/3845 - -17/769. Factor 0 - m*t**4 + 0*t + 2*t**2 + 9/5*t**3.
-t**2*(t - 10)*(t + 1)/5
Let g be (-240)/342*-3 + ((-56)/(-126))/(494/(-117)). Factor -8/9*n - 2/9*n**g + 10/9.
-2*(n - 1)*(n + 5)/9
Factor 3200/9 - 1120/9*u + 88/9*u**2 - 2/9*u**3.
-2*(u - 20)**2*(u - 4)/9
Let i be ((-11901)/(-36) - -3)/((-14)/42). Let u = i - -1001. Suppose u*o**3 + 0*o**2 + 0*o + 0 = 0. What is o?
0
Let d(g) = -18*g**3 + 46*g**2 + 8*g - 46. Let q = 213 + -223. Let s(n) = 2*n**3 - n. Let h(c) = q*s(c) - d(c). Suppose h(y) = 0. What is y?
-23, -1, 1
Let q(i) = -9*i + 8*i + 7*i**2 - 19*i - i**2 + 0*i**2 + 18 - i**3. Let r(x) = -x**3 + 7*x**2 - 20*x + 16. Let t(u) = 2*q(u) - 3*r(u). Find d such that t(d) = 0.
1, 2, 6
Let x(y) be the third derivative of -y**8/560 - 2*y**7/175 + 3*y**6/50 + y**2 + 101*y. Let x(a) = 0. What is a?
-6, 0, 2
Let m(b) be the second derivative of -7/30*b**3 - 1/60*b**4 + 3*b + 4/5*b**2 + 24. Find l, given that m(l) = 0.
-8, 1
Let z = 71488/107229 - 2/107229. Suppose -16*p + 10/3*p**2 - 24 + z*p**4 + 4*p**3 = 0. Calculate p.
-3, -2, 2
Let o be (-264)/110*(-10)/6. Find j, given that 35*j**2 + 10*j**3 - 5*j**3 + 78*j**4 - j - 30 - 83*j**o - 4*j = 0.
-2, -1, 1, 3
Suppose -h = -4*g - 21, 0 = 3*h - 6*h + 4*g + 39. Factor 8*k**2 + h*k**2 + 28*k**3 - 7*k**2 + 7*k**2 + 6*k**4 - k**2.
2*k**2*(k + 4)*(3*k + 2)
Let l(a) be the first derivative of 1/6*a**3 - 11/4*a**2 + 9*a + 181. Factor l(g).
(g - 9)*(g - 2)/2
Let y(c) be the first derivative of 3*c**5/5 - 51*c**4/4 - 179*c**3 + 10035*c**2/2 - 9450*c + 992. Suppose y(b) = 0. What is b?
-14, 1, 15
Factor -103680 - 412/9*n**3 - 12096*n + 1488*n**2 + 4/9*n**4.
4*(n - 36)**3*(n + 5)/9
Let t(k) = -2*k**5 - 6*k**4 + 4*k**3 + 23*k**2 + 14*k - 1. Let r(c) = c**5 - c**4 - c**3 + 1. Let f(n) = -3*r(n) - 3*t(n). Factor f(v).
3*v*(v - 2)*(v + 1)**2*(v + 7)
Let k(p) be the first derivative of 12*p - 85 + 4/5*p**5 + 19*p**2 - 17*p**4 - 16/3*p**3 + 5*p**6. Determine g, given that k(g) = 0.
-1, -1/3, 1, 6/5
Factor d**2 - 28*d**5 + 24*d**4 - 42*d**3 - 81*d + 5*d**5 - 145*d**2 + 26*d**5.
3*d*(d - 3)*(d + 1)**2*(d + 9)
Let x(m) be the second derivative of -9*m - 16/15*m**2 + 2 - 14/9*m**3 - 47/90*m**4 + 7/150*m**5. Factor x(k).
2*(k - 8)*(k + 1)*(7*k + 2)/15
Let l be (0 - 3)/(195/(-260)). Let 29*i + 18 - 6*i - l*i**2 - 62 + 25*i = 0. What is i?
1, 11
Let z(x) be the first derivative of 2*x**5/5 - 69*x**4/2 - 14*x**3/3 + 489*x**2 - 828*x + 4110. Determine s, given that z(s) = 0.
-3, 1, 2, 69
Let v be 26/((-2600)/(-90))*(-14)/(-735)*50. Suppose v*s**3 + 2/7*s**4 - 6/7*s - 4/7 + 2/7*s**2 = 0. Calculate s.
-2, -1, 1
Let f = 79 + -82. Let o be f/(-18)*-10*18/(-5). Determine s, given that -o*s - 2*s**2 - 2*s - 8 + 2 = 0.
-3, -1
Let s(o) = -o**3 + 48*o**2 - 118*o - 762. Let f be s(45). Let 0 + 1/2*g**3 + f*g**2 + 4*g = 0. Calculate g.
-4, -2, 0
Suppose 13*s - 94 = -s - 24. Let b(p) be the third derivative of 0*p**3 + 0*p**s + 0*p + 0 - 1/40*p**6 + 1/2*p**4 - 30*p**2. Determine i, given that b(i) = 0.
-2, 0, 2
Find w, given that 1081 - 971 + 142*w + 274*w + 2*w**2 + 714 = 0.
-206, -2
Let v be 55 - 60 - (-7 - 3). Let l(i) be the second derivative of 0*i**3 + 0*i**4 + 0*i**2 - 1/60*i**v + 1/45*i**6 + 0 - 1/126*i**7 - 13*i. Factor l(t).
-t**3*(t - 1)**2/3
Determine o, given that -84390*o + 290*o**3 - 1/2*o**4 - 41759*o**2 - 84681/2 = 0.
-1, 291
Let y(g) = -g**2 - 27*g + 22. Let w be y(-28). Let n be (3/w)/(110/(-132)). Factor -6*t**2 + 0 + 15*t + n*t**3.
3*t*(t - 5)**2/5
Let s be ((1725/(-60))/(-23))/((-2)/(-152)). Suppose -68*v = -s*v. Solve 5/2*c**5 + 17/2*c**3 + 0*c**2 - 9*c**4 - 2*c + v = 0.
-2/5, 0, 1, 2
Let k(s) = -8*s**2 - 295*s + 39. Suppose 1902*f - 555 = 1917*f. Let b be k(f). Find v such that -9/2 - 9/2*v - 1/6*v**3 - 3/2*v**b = 0.
-3
Let h(y) = -7*y**2 - 3*y + 14. Suppose 2*q - 20 = -14. Let j(a) = -a**2 - a + 1. Let p(b) = q*h(b) - 24*j(b). Let p(s) = 0. What is s?
-3, -2
Let s be (4/102*-3)/(12/(-34)). Find c such that -s*c**2 - 2/3 + c = 0.
1, 2
Let r be -29 - -35 - 267/90*2. Let w(c) be the second derivative of r*c**4 - 3*c + 0 + 1/15*c**3 + 0*c**2 + 1/50*c**5. Solve w(k) = 0.
-1, 0
Let d = -4094 - -16377/4. Let u(r) be the first derivative of -9/4*r**2 - d*r**3 - 27/4*r - 15. Factor u(g).
-3*(g + 3)**2/4
Let o = -1/1538 + 6155/4614. Let t(p) be the first derivative of 36*p - 46 - 16*p**2 - o*p**3. Factor t(x).
-4*(x - 1)*(x + 9)
Factor -72614*p + 135*p**5 + 2700*p**4 + 12650*p**2 + 53240 + 17488*p + 15975*p**3 - 29574*p.
5*(p - 1)**2*(3*p + 22)**3
Let i = -64064 + 576580/9. Suppose 0 + i*z**5 + 2/9*z**2 + 0*z - 11/9*z**4 + 5/9*z**3 = 0. What is z?
-1/4, 0, 1, 2
Let g(b) be the second derivative of -3*b**5/40 - 35*b**4/8 - 179*b**3/4 - 435*b**2/4 + 307*b - 2. Determine h, given that g(h) = 0.
-29, -5, -1
Let n = 4577 - 4574. Let c(w) be the first derivative of -2/7*w + 2/7*w**2 - 2/21*w**n + 11. Factor c(z).
-2*(z - 1)**2/7
Let b(f) = 4*f**2 - 22*f - 3. Let a be b(8). Let u be a/(-25) + (-16)/(-200) - -6. Factor -14/5*z**2 + 8/5 - 4/5*z**u - 8/5*z.
-2*(z + 2)**2*(2*z - 1)/5
Let m(k) be the first derivative of 147*k**5/25 - 24633*k**4/20 - 4062*k**3 + 20418*k**2/5 - 1224*k + 3914. Solve m(z) = 0 for z.
-3, 2/7, 170
Let k = 292111 + -4381657/15. Factor -2/5*t**3 + 0 + k*t - 6/5*t**4 + 16/15*t**2.
-2*t*(t - 1)*(3*t + 2)**2/15
Let q be 31 - 29 - (-2)/(2/13). Suppose -17*p + 53 = -q. Determine y so that -18*y**2 + y**4 + 1260*y**5 + 8 + 13*y**3 + 3*y**p - 1263*y**5 - 4*y = 0.
-2, -2/3, 1, 2
Let k = 45730 - 45720. Solve k*i**2 - 23/3*i + 4/3 + 3*i**3 = 0 for i.
-4, 1/3
Let t(l) be the second derivative of -1/2*l**4 - 40*l + 0 + 3/2*l**3 + 3*l**2 + 1/14*l**7 -