f**5 + f**3 + 0*f - y*f**2 - 5*f**3 = 0.
-1, 1, 2
Let x(m) be the first derivative of -4*m**6/51 - 2*m**5/5 - 14*m**4/17 - 44*m**3/51 - 8*m**2/17 - 2*m/17 - 79. Suppose x(p) = 0. What is p?
-1, -1/4
Let -15*b**2 + 12*b - 12*b**3 + 7*b + 9*b + 2*b**4 - 4*b**2 + b**2 = 0. Calculate b.
-2, 0, 1, 7
Factor -12825*w**2 + 339/2*w**3 - 1265625/4 - 3/4*w**4 + 658125/2*w.
-3*(w - 75)**3*(w - 1)/4
Let j be ((-58)/203)/(108/(-14)). Let m(f) be the third derivative of -4/27*f**3 + 0 + 0*f - j*f**4 + 1/90*f**5 - 3*f**2 + 1/945*f**7 + 1/135*f**6. Factor m(y).
2*(y - 1)*(y + 1)*(y + 2)**2/9
Let m be (-7)/(168/18) - (-4)/2. Factor m*x**2 + 125/4 - 25/2*x.
5*(x - 5)**2/4
Let k(z) = -2*z**2 + 1613*z - 129602. Let j(g) = 5*g**2 - 3225*g + 259205. Let y(l) = 3*j(l) + 5*k(l). Let y(v) = 0. What is v?
161
Let t = 1659 - 1659. Let d(y) be the third derivative of 2/5*y**5 + 0 + 2/3*y**3 + 2/15*y**6 + t*y + 11*y**2 + 2/105*y**7 + 2/3*y**4. Factor d(h).
4*(h + 1)**4
Let l(p) be the third derivative of -p**8/280 - p**7/35 + 13*p**6/100 - 7*p**5/50 - 2*p**2 + 15. Factor l(q).
-6*q**2*(q - 1)**2*(q + 7)/5
Let y(v) be the third derivative of 4/15*v**5 + 7/6*v**4 + 2*v**2 + 0 - 4/3*v**3 + 0*v. What is z in y(z) = 0?
-2, 1/4
Let z(d) = -11*d - 1. Let u be z(1). Let k(o) = -o**3 - 13*o**2 - 12*o. Let m be k(u). Factor -6*r**4 + 3*r**3 + 1 + 3*r**5 + m*r**5 - 1.
3*r**3*(r - 1)**2
Let o(p) be the second derivative of p + 2*p**2 - 2/9*p**3 + 0 + 1/45*p**5 + 0*p**4. Let w(d) be the first derivative of o(d). Factor w(c).
4*(c - 1)*(c + 1)/3
Let y(k) be the third derivative of k**5/270 - 41*k**4/54 - 83*k**3/27 + 92*k**2 + 2*k. Suppose y(p) = 0. Calculate p.
-1, 83
Let o be 6/(-3)*50/(-20). Determine f, given that 3744*f**3 - 12*f + 3*f**o + 24 + 12*f**4 - 38*f**2 - 3741*f**3 + 8*f**2 = 0.
-2, 1
Let a(b) = 5*b**3 - 7*b**2 - 29*b + 4. Let j(x) = 16*x**3 - 20*x**2 - 88*x + 16. Let s(h) = -8*a(h) + 3*j(h). Factor s(q).
4*(q - 2)*(q + 2)*(2*q - 1)
Let c be (-3 - 178/(-60))*15/(-50). Let t(z) be the second derivative of 3*z - c*z**5 + 0*z**2 + 0 + 0*z**3 + 1/60*z**4. Factor t(s).
-s**2*(s - 1)/5
Let v(o) be the first derivative of -o**4/3 + 214*o**3/27 - 52*o**2 - 18*o - 295. Solve v(h) = 0.
-1/6, 9
Let k(a) = -21*a**2 - 177*a + 103. Let b(n) = -21*n**2 - 177*n + 102. Let j(r) = 5*b(r) - 6*k(r). Factor j(x).
3*(x + 9)*(7*x - 4)
Suppose -8624/13*z - 30398/13*z**3 - 25874/13*z**2 - 14630/13*z**4 - 968/13 - 2450/13*z**5 = 0. Calculate z.
-11/5, -1, -2/7
Let h(a) be the third derivative of a**9/6300 - a**8/1680 + a**7/3150 + a**6/900 - a**4/8 + 10*a**2. Let f(l) be the second derivative of h(l). Factor f(z).
4*z*(z - 1)**2*(3*z + 1)/5
Suppose 3324*v - 36 - 1663*v + 2*v**3 + 22*v**2 - 1679*v - 2*v**4 = 0. What is v?
-3, -1, 2, 3
Let i(n) = 2*n**2 - 2. Let f(r) = -11*r**2 - 14*r + 25. Let m(h) = -f(h) - 4*i(h). Factor m(l).
(l - 1)*(3*l + 17)
Let s(a) be the first derivative of -5*a**3/3 - 210*a**2 - 415*a + 12. Factor s(d).
-5*(d + 1)*(d + 83)
Let w = 3362 + -3362. Factor 0 + w*m + 1/7*m**2.
m**2/7
Let r(p) be the second derivative of 0 + 6/5*p**3 - 4/5*p**2 + 8/75*p**6 + 2*p - 9/25*p**5 - 2/15*p**4. Suppose r(y) = 0. Calculate y.
-1, 1/4, 1, 2
Let d(n) be the second derivative of -n**10/120960 - n**9/20160 + n**7/2520 - n**4/2 - 12*n. Let i(v) be the third derivative of d(v). Factor i(j).
-j**2*(j - 1)*(j + 2)**2/4
Suppose 0 = v - 2*g - 4, -g + 1 = -4*v + 2*v. Let l be (7/v)/(-1) - (-6 - -5). Solve l + 1/2*c**2 + 3*c = 0.
-3
Let j be (-25)/4 + 1/4. Let g be 3/j + (-9)/(-2). Determine h so that 5*h - 7*h**5 + 4*h**3 + 2*h + 12*h**4 + 2 - g*h - 14*h**2 = 0.
-1, -2/7, 1
Factor 57/5*u**2 + 9/5*u**3 + 0*u + 0.
3*u**2*(3*u + 19)/5
Let o = 106 + -101. Let f be (o - 3)*9/6. Factor 0 + 0*v**2 + 1/2*v**4 + 0*v + 0*v**f.
v**4/2
Suppose 0 = 3*p - 4*b + 14, b - 10 + 4 = 2*p. Let s be p/((-4)/(2 - -2)). Factor 2/3*y**5 + 0*y + 0 + 2/3*y**3 + 4/3*y**4 + 0*y**s.
2*y**3*(y + 1)**2/3
What is i in -66/5 - 2/15*i**2 - 8/3*i = 0?
-11, -9
Let v = 16 + -11. Let r = 26 + -24. What is b in 4*b**3 - 3*b**3 - 3*b**v + r*b**4 + 4*b**5 = 0?
-1, 0
Let s be ((-410)/451)/(12/(-231)). Suppose 25/2*t**4 - s*t**2 + 15/2*t - 15/2*t**3 + 5 = 0. Calculate t.
-1, -2/5, 1
Let i = 1453/3050 - -36/1525. Let 7/2 + i*j**2 - 4*j = 0. What is j?
1, 7
Let f(d) = 5*d**3 - 24*d**2 + 53*d + 17. Let s = 52 - 58. Let z(q) = -2*q**3 + 8*q**2 - 18*q - 6. Let a(c) = s*f(c) - 17*z(c). Factor a(p).
4*p*(p - 1)*(p + 3)
Factor 13/4*u**2 - 23/4*u - 1/4*u**3 + 11/4.
-(u - 11)*(u - 1)**2/4
Factor -42/13*r + 0 - 2/13*r**3 - 44/13*r**2.
-2*r*(r + 1)*(r + 21)/13
Let b be -1 - -10 - ((-168)/(-72) + (-8)/(-3)). Determine l so that 12/5*l**2 + 0 + 0*l**3 - 4/5*l**b - 8/5*l = 0.
-2, 0, 1
Let p(u) = 3*u**3 + 17*u**2 - 4*u + 14. Let n be p(-6). Find w, given that 66*w - 50*w**n + 10*w**3 + 6 - 24 - 2*w**3 + 18*w = 0.
1/4, 3
Let d = 161 - 339/2. Let r = d + 191/22. Factor -18/11 - 12/11*l - r*l**2.
-2*(l + 3)**2/11
Let l = -2719/153 - -161/9. What is o in 6/17*o**2 + 6/17*o + l*o**3 + 2/17 = 0?
-1
Let g(m) be the second derivative of 3*m**5/20 - 37*m**4/2 + 1369*m**3/2 + 12*m. Factor g(x).
3*x*(x - 37)**2
Let j(n) be the second derivative of n**6/10 - n**5/10 - n**4/4 + n**3/3 + 89*n. Find s, given that j(s) = 0.
-1, 0, 2/3, 1
Let x(d) = 48*d**2 - 126*d - 486. Let s(y) = -7*y**2 + 18*y + 69. Let h(p) = 27*s(p) + 4*x(p). Factor h(v).
3*(v - 9)*(v + 3)
Let m(d) be the third derivative of d**8/168 - 4*d**6/15 - 19*d**5/15 - 11*d**4/4 - 10*d**3/3 + 7*d**2 + 5. Factor m(r).
2*(r - 5)*(r + 1)**3*(r + 2)
Let v(m) be the first derivative of 2*m**5/85 - 3*m**4/34 + 71. Determine u, given that v(u) = 0.
0, 3
Let n(p) be the second derivative of p**5/5 - 25*p**4/3 - 106*p**3/3 - 54*p**2 + 24*p + 4. What is g in n(g) = 0?
-1, 27
Determine m, given that 20/9*m - 14/9*m**2 + 16/9 = 0.
-4/7, 2
Let r(h) be the first derivative of h**4/4 - 7*h**3 - 196. Determine c, given that r(c) = 0.
0, 21
Find o such that 190*o + 6920 + 215*o - 223*o + 4*o**2 + 306*o + 7964 = 0.
-61
Let y(u) = -2*u**4 + u**3 + u**2 - 1. Let o(a) = -15*a**4 - 7*a**3 - 17*a**2 + a**4 - 4*a**3 + 2*a**2 - 5 - 8*a. Let h(z) = o(z) - 5*y(z). Factor h(k).
-4*k*(k + 1)**2*(k + 2)
Let y(w) be the first derivative of -2*w**5/5 + 9*w**4/2 - 50*w**3/3 + 27*w**2 - 20*w - 228. Solve y(t) = 0 for t.
1, 2, 5
Let m(f) = 12*f**3 - 43*f**2 + 34. Let x(b) = 11*b**3 - 43*b**2 - 3*b + 33. Let o(a) = 6*m(a) - 7*x(a). Determine r, given that o(r) = 0.
-1, 3/5, 9
Suppose 6*l - 7 = 5*l - 3*b, 3*b - 39 = 3*l. Let t be l/(-7 + (-8)/(-2)). Factor -t*m + 8/3 + 2/3*m**2.
2*(m - 2)**2/3
Let a be (-1 + (-10)/(-6))/(20/1080). What is j in -a + 32 + 3*j**2 - j**3 - 3*j**3 + j**2 + 4*j = 0?
-1, 1
Factor 0 - 105/2*w**4 + 48*w**3 + 0*w - 25/2*w**5 - 10*w**2.
-w**2*(w + 5)*(5*w - 2)**2/2
Let c(l) be the second derivative of l**6/24 + l**5/16 - 5*l**4/16 - 25*l**3/24 - 5*l**2/4 - 132*l. Factor c(z).
5*(z - 2)*(z + 1)**3/4
Find d such that 12*d - 226 - 219 - 4*d**2 + 557 = 0.
-4, 7
Let h(v) = v - 3. Let g be h(3). Let d(k) be the second derivative of -k**3 + g*k**2 - 3*k + 0 - 1/4*k**4. Solve d(y) = 0 for y.
-2, 0
Let y = 288 - 286. Factor -3/5*u + 3/5 - 3/5*u**y + 3/5*u**3.
3*(u - 1)**2*(u + 1)/5
Let 0 - 282/5*k**3 - 88/5*k**4 - 44*k**2 - 8/5*k**5 - 10*k = 0. Calculate k.
-5, -1/2, 0
Let t be (0 - (-5)/8)*(-408)/(-1020). Factor t - 1/8*o**2 + 1/8*o.
-(o - 2)*(o + 1)/8
Determine n so that 20/3*n**4 - 4/3 - 16/3*n**2 - 14*n**3 + 14*n = 0.
-1, 1/10, 1, 2
Let i(s) be the second derivative of s**8/672 - 7*s**2 - 25*s. Let r(h) be the first derivative of i(h). Factor r(o).
o**5/2
Let g(m) be the second derivative of m**6/15 - 3*m**5/10 + m**4/2 - m**3/3 + 212*m. Suppose g(b) = 0. Calculate b.
0, 1
Let h(v) be the first derivative of -v**6/180 + 8*v**3/3 - 11. Let a(j) be the third derivative of h(j). Let a(f) = 0. What is f?
0
Let i be 7/(7/3) - 1. Factor 5*s**i - 780 + 6*s + 780 - s.
5*s*(s + 1)
Let j(s) be the first derivative of -2/3*s**3 + 3 + 0*s - 2*s**2 + s**4 + 2/5*s**5. Factor j(o).
2*o*(o - 1)*(o + 1)*(o + 2)
Find k, given that 45*k - 136/3 + 1/3*k**2 = 0.
-136, 1
Let w(c) be the third derivative of 0*c**4 + 0*c + 1/3*c**5 - 1/6*c**6 + 5/336*c**8 + 0 - 10*c**2 - 1/42*c**7 + 0*c**3. Factor w(n).
5*n**2*(n - 2)*(n - 1)*(n + 2)
Let l(k) be t