/39*d**3 + 1/78*d**4 + 22. Factor l(w).
2*(w + 2)**2/13
What is k in 204/5*k**3 + 0 + 39*k**2 + 3/5*k**4 - 402/5*k = 0?
-67, -2, 0, 1
Let y(l) be the third derivative of 4/33*l**4 + 0 - 1/330*l**5 - 4*l - 20/33*l**3 - 1/660*l**6 - 27*l**2. Factor y(h).
-2*(h - 2)**2*(h + 5)/11
Let i(y) be the first derivative of -y**6/120 + 19*y**5/60 - 33*y**4/8 + 27*y**3/2 - 6*y**2 - 3*y + 27. Let c(w) be the second derivative of i(w). Factor c(r).
-(r - 9)**2*(r - 1)
Let z(m) be the second derivative of 41*m + 0 - 1/6*m**6 - 25/12*m**4 + 0*m**2 - m**5 - 5/3*m**3. Determine c, given that z(c) = 0.
-2, -1, 0
Let g be (-2)/(-34) - (-71550)/24327. Let 120/11*c**g - 28/11*c**4 - 250/11*c - 100/11*c**2 + 2/11*c**5 + 0 = 0. Calculate c.
-1, 0, 5
Factor 456738 + 1611*s**2 + 1614*s - 3*s**3 - 456738.
-3*s*(s - 538)*(s + 1)
Find d such that 78*d - 47*d - 81*d + 280 - 5*d**2 - 80*d = 0.
-28, 2
Suppose 51*l - 38*l = 55*l. Let m(g) be the first derivative of 4/3*g**3 + l*g - 4 + 0*g**2 + 6*g**4. What is a in m(a) = 0?
-1/6, 0
Let f(k) be the first derivative of -3*k**4/2 - 176*k**3/3 + 367*k**2 + 264*k - 1960. Solve f(q) = 0.
-33, -1/3, 4
Let q = 465 - 462. Determine a, given that 32*a + 5861 - 128*a**2 - 12*a**q - 5773 + 20*a = 0.
-11, -2/3, 1
Suppose -4*y - 12 = 0, y + 99 = 3*k - 1668. Factor -1144*b**2 + 571*b**2 + k*b**2 - 5*b**4 - 10*b.
-5*b*(b - 1)**2*(b + 2)
Let a(r) be the first derivative of 88*r - 4/3*r**3 + 18*r**2 + 161. Factor a(i).
-4*(i - 11)*(i + 2)
Suppose 0 = -2*v + 4*b + 296, 5*v + 10*b = 14*b + 740. Let m be (8 - v/8)*(-2)/14. Suppose 9/2 + 9*t**3 - 15/2*t - m*t**4 - 3/2*t**5 - 3*t**2 = 0. What is t?
-3, -1, 1
Let i(t) = -2*t**2 - 18*t. Let h be i(-9). Suppose h = 2*l + 4*y - 28, 7 + 18 = 5*y. Factor 3*r**3 + 12*r**2 - 3*r**3 - 4*r**3 - 6 - l*r**2 - 2*r**4 + 4*r.
-2*(r - 1)**2*(r + 1)*(r + 3)
Factor 2750/3*s + 5/3*s**2 + 378125/3.
5*(s + 275)**2/3
Let k = 97888 - 293654/3. Factor 1/3*r**4 - 1/3*r**3 + 8 - k*r**2 + 4/3*r.
(r - 3)*(r - 2)*(r + 2)**2/3
Suppose -154 + 1/2*n**2 + 73/2*n = 0. Calculate n.
-77, 4
Let v = 222313 - 889237/4. What is x in -v*x**3 + 0*x - 5/4*x**4 - 5/2*x**2 + 0 = 0?
-2, -1, 0
Factor 480*s - 84*s**3 - 4*s**4 - 1696*s**2 - 3926 + 3926 + 1304*s**2.
-4*s*(s - 1)*(s + 10)*(s + 12)
Let f(j) = j**3 - 16*j**2 - j + 18. Suppose 3*c + 0 = 48. Let g be f(c). Suppose 3*x**2 + g*x - 2*x + 0*x**2 = 0. Calculate x.
0
Let j = -24446 + 24446. Let p(f) be the first derivative of 9 + 1/6*f**3 + 3/4*f**2 + j*f. Determine g so that p(g) = 0.
-3, 0
Let o be -7 + 13/((-1820)/(-1545)) + -4. Let i(v) be the first derivative of -5 - 1/14*v**2 - o*v**4 + 0*v - 2/21*v**3. Factor i(z).
-z*(z + 1)**2/7
Let a(l) = l**2 + 7*l. Let x(u) = -3*u. Suppose 27 = -5*g + 2. Let m(z) = z**2 - 3. Let o be m(0). Let t(c) = g*x(c) + o*a(c). Find y such that t(y) = 0.
-2, 0
Let n be 2/(5 + 299/(-69)). Factor -108/7 + 45/7*r + 6/7*r**2 - 3/7*r**n.
-3*(r - 3)**2*(r + 4)/7
Let z(t) be the second derivative of -11*t**7/70 - t**6/50 + 33*t**5/100 + t**4/20 - 219*t + 1. Let z(h) = 0. What is h?
-1, -1/11, 0, 1
Suppose 311*j - 2242 = 902*j - 4015. Let h = 1/274 + 752/411. Find i, given that h*i**2 + 2/3*i + i**j - 1/6 = 0.
-1, 1/6
Let n(y) be the first derivative of y**7/980 - y**6/420 - 8*y**3/3 + 2*y**2 + 34. Let m(f) be the third derivative of n(f). Factor m(r).
6*r**2*(r - 1)/7
Let a be (2/(11*(-31)/(1023/(-90))))/(2/984). Find r such that 256/5*r**3 + 0 - 76/5*r**4 - 48/5*r**5 + a*r**2 + 24/5*r = 0.
-3, -1/3, -1/4, 0, 2
Let l(q) be the first derivative of 21*q + 0*q**3 - 1/30*q**5 - 27 + 0*q**2 + 0*q**4. Let h(a) be the first derivative of l(a). Factor h(k).
-2*k**3/3
Suppose 0 = -2*d + d + 4. Let o be d + 259/49 - (-2)/(-7). Factor -g**2 + g + 9 + o*g - 5*g - 3.
-(g - 6)*(g + 1)
Let s(p) be the first derivative of -2*p**3/3 + 231*p**2 + 464*p - 12399. Solve s(y) = 0 for y.
-1, 232
What is j in 280/3 - 17*j - 1/3*j**2 = 0?
-56, 5
Let j(i) be the first derivative of -5*i**4/12 - 5*i**3/3 + 120*i**2 - 309*i - 197. Let g(y) be the first derivative of j(y). Let g(n) = 0. What is n?
-8, 6
Let s be ((-39)/52 + 0)/(((-2)/8)/1). Let x(f) be the first derivative of 4*f + 1/3*f**4 + 20/9*f**s + 14/3*f**2 - 8. Factor x(n).
4*(n + 1)**2*(n + 3)/3
Let q(x) be the second derivative of -x**9/5040 + x**8/1120 + x**7/210 - x**6/30 - 65*x**4/6 + 2*x - 15. Let s(i) be the third derivative of q(i). Factor s(z).
-3*z*(z - 2)**2*(z + 2)
Let c(f) = f**2 + 1390*f + 2091. Let a(t) = t**2 + 1390*t + 1857. Let d(j) = -3*a(j) + 2*c(j). Factor d(w).
-(w + 1)*(w + 1389)
Factor 96/7 + 3020/7*y - 18*y**2.
-2*(y - 24)*(63*y + 2)/7
Let t(y) = 12*y**3 + 340*y**2 + 636*y + 320. Let p(z) = 2*z**3 + 4*z**2 + 1. Let b(g) = 4*p(g) - t(g). Solve b(i) = 0.
-79, -1
Suppose 1673 = 124*u - 807. Let c(f) be the first derivative of 0*f**2 - u - 3/4*f**4 - 2*f**3 + 0*f + 6/5*f**5 + 1/2*f**6. Solve c(d) = 0 for d.
-2, -1, 0, 1
Let o be 69/6 + (-3)/(36/84). Let b = o - 21/10. Determine k so that 8/5*k**3 + 0 - b*k - 26/5*k**4 + 4/5*k**5 + 26/5*k**2 = 0.
-1, 0, 1/2, 1, 6
Let h(m) be the first derivative of -m**3/12 + 31*m**2/8 - 105*m/2 + 2583. Let h(l) = 0. Calculate l.
10, 21
Find s such that 1872/7 - 696/7*s + 76/7*s**2 - 2/7*s**3 = 0.
6, 26
Let x(h) be the first derivative of 14*h**5/65 + 204*h**4 - 15216*h**3/13 + 27424*h**2/13 - 12192*h/13 - 1103. Let x(n) = 0. What is n?
-762, 2/7, 2
Let x(s) = -8*s**2 + 45*s + 43. Let u(h) = -4*h**2 + 23*h + 21. Suppose -44 + 24 = -4*a. Let y be 2/a - 270/50. Let n(i) = y*u(i) + 3*x(i). Factor n(c).
-4*(c - 6)*(c + 1)
Let k(t) = 4*t**2 - 39*t + 29. Let h be k(9). Let o = -153 - -153. Let 0*m**3 + 0*m + 1/3*m**4 - 1/3*m**5 + o + 0*m**h = 0. Calculate m.
0, 1
Let r(t) be the third derivative of 1/40*t**5 - 1/8*t**4 + 0*t + 14 - 3/4*t**3 - t**2. Factor r(q).
3*(q - 3)*(q + 1)/2
Let v(n) be the second derivative of 7*n**5/16 - 17*n**4/24 - 3*n**3 + 4563*n. Determine i, given that v(i) = 0.
-36/35, 0, 2
Let n(i) = -29*i**4 + 300*i**3 + 3907*i**2 - 8751*i + 4505. Let a(f) = 5*f**4 - 50*f**3 - 651*f**2 + 1459*f - 751. Let w(d) = -34*a(d) - 6*n(d). Factor w(o).
4*(o - 34)*(o - 1)**2*(o + 11)
Let c be -32 + 6 + 9 + 22. Suppose 1/3*n**3 - 13/3*n**c + 0 + 0*n**2 - 4*n**4 + 0*n = 0. What is n?
-1, 0, 1/13
Let k(m) be the second derivative of 1/50*m**5 - 77*m - 1/15*m**3 + 0 + 4/5*m**4 - 24/5*m**2. Factor k(c).
2*(c - 1)*(c + 1)*(c + 24)/5
Let y(x) be the third derivative of -1/10*x**4 + 0*x - 13*x**2 + 0 + 0*x**3 - 1/300*x**5. Determine c so that y(c) = 0.
-12, 0
Let o(w) = 216*w - 1925. Let n be o(9). Let b(t) be the second derivative of 1/15*t**4 - 1/50*t**5 - n*t + 1/5*t**3 + 0 + 0*t**2. Find p, given that b(p) = 0.
-1, 0, 3
Let c(w) be the second derivative of -w**6/10 + 39*w**5/20 - 31*w**4/2 + 64*w**3 - 144*w**2 + 1774*w. Find r, given that c(r) = 0.
2, 3, 4
Let i = 2045 - 18404/9. Let o(s) = -s**3 - 16*s**2 + 36*s + 3. Let u be o(-18). Determine c, given that -1/9 - i*c**u + 1/9*c**2 + 1/9*c = 0.
-1, 1
Suppose 19604 = -38*d - 62058. Let m = 2151 + d. Factor -1/2*x**m - 1/2*x - 1/6 - 1/6*x**3.
-(x + 1)**3/6
Let n(m) = m**4 + 26*m**3 + 45*m**2 - 4*m. Suppose -3*w = 6 + 6. Let v(f) = 2*f**4 + 27*f**3 + 45*f**2 - 3*f. Let u(d) = w*v(d) + 3*n(d). Factor u(a).
-5*a**2*(a + 3)**2
Suppose -10890 - 406/9*x**2 - 2/9*x**3 - 2398*x = 0. What is x?
-99, -5
Solve -21 - 75 - 195*w - w - 64*w**2 + 66*w**2 - 102 = 0 for w.
-1, 99
Let x be -3 + (11 - (-14956)/(-20)). Let r = 743 + x. What is k in 18/5*k**3 + 2/5*k**4 - 26/5*k**2 - r*k + 24/5 - 2/5*k**5 = 0?
-3, -1, 1, 2
Suppose -2*y = 8, 0*f = -3*f + 3*y - 1086. Let g = f - -369. Determine q so that -q**g + 0 + 4/3*q**4 - 1/3*q**5 + 4/3*q - 4/3*q**2 = 0.
-1, 0, 1, 2
Let o = -164 + 714. Let j = o - 549. Factor -1/3*b**2 - j + 4/3*b.
-(b - 3)*(b - 1)/3
Let h(k) be the third derivative of -k**6/24 + 5*k**5/4 - 95*k**4/12 + 20*k**3 + 4531*k**2. Factor h(n).
-5*(n - 12)*(n - 2)*(n - 1)
Factor 1158*r + 1309*r - 2131*r + 2*r**2 - 1730.
2*(r - 5)*(r + 173)
Suppose -248 + 2/5*k**2 - 616/5*k = 0. Calculate k.
-2, 310
Let c(h) be the third derivative of h**6/1020 + 7*h**5/85 + 77*h**4/204 - 40*h**3/17 - 7*h**2 - 45. Factor c(u).
2*(u - 1)*(u + 3)*(u + 40)/17
Suppose 27*o - 54 = 21*o. Solve 6 - 4*p + 21*p**4 + 10*p**3 - p - 6*p**5 - 6*p**4 - 30*p**2 + p**5 + o 