+ 1778*w**3/57 - 1107*w**2/19 + 884*w/19 + 3333. Determine y so that n(y) = 0.
1, 2, 221
Solve 190 + 6842/3*x + 128/3*x**4 + 12192*x**3 + 9128*x**2 = 0 for x.
-285, -1/4
Let v(x) be the third derivative of 13/6*x**4 + 39*x**2 + 1/105*x**7 + 1/10*x**6 + 0 - 4/5*x**5 - 3*x**3 + 0*x. Factor v(s).
2*(s - 1)**3*(s + 9)
Factor -3*x**3 + 86 + 225*x - 54*x + 84*x**2 - x**3 + 3*x**3.
-(x - 86)*(x + 1)**2
Factor 8/3*w**5 + 272/3*w**4 + 0*w + 266/3*w**3 + 0 + 22*w**2.
2*w**2*(w + 33)*(2*w + 1)**2/3
Suppose -1507 = -97*f - 3035 + 1819. Let 0 - f*w + 1/2*w**2 = 0. What is w?
0, 6
Let m(x) be the third derivative of 3/70*x**6 + 27/14*x**4 + 20*x + 81/14*x**3 + x**2 + 1/490*x**7 + 27/70*x**5 + 0. Let m(h) = 0. What is h?
-3
Let h(d) be the first derivative of -40*d + 40/3*d**3 + 65*d**2 - 35/8*d**4 - 31. Factor h(o).
-5*(o - 4)*(o + 2)*(7*o - 2)/2
Find b, given that -16 + 46/3*b**2 + 2/3*b**4 + 20/3*b**3 - 20/3*b = 0.
-6, -4, -1, 1
Suppose 3*k + 10 = -z, 0*z + 5 = -3*z - 4*k. Let b(q) be the second derivative of -10*q - 1/30*q**6 + 0 + 0*q**3 + 0*q**2 - 1/20*q**z + 0*q**4. Factor b(x).
-x**3*(x + 1)
Let p(g) = -g**2 + 27*g - 90. Let s(t) = -27*t + 75. Let c(m) = 3*p(m) + 4*s(m). Find q such that c(q) = 0.
-10, 1
Suppose -3*l + 4*s - 29 = 1108, 2*s - 381 = l. Let k = l + 377. Suppose -18/5*q**4 - 4*q**3 + 24/5*q + 8/5 - 4/5*q**5 + 2*q**k = 0. What is q?
-2, -1, -1/2, 1
Let z be -10 - (72/(-108))/(12/210). Find u such that -5/2*u - z + 5/2*u**3 + 5/3*u**2 = 0.
-1, -2/3, 1
Let x(d) be the second derivative of 25*d + 1/60*d**5 - 8*d**2 - 1/2*d**4 + 6*d**3 + 0. Let q(t) be the first derivative of x(t). Factor q(r).
(r - 6)**2
Factor 206/3*a - 2/3*a**2 - 404/3.
-2*(a - 101)*(a - 2)/3
Suppose 24773 = 27*l + 8222. Let c = 615 - l. What is k in 3/5*k**2 + 17/5*k + c = 0?
-5, -2/3
Let j(f) be the first derivative of f**5/35 - 61*f**4/28 + 80*f**3/3 - 250*f**2/7 + 9382. Find g such that j(g) = 0.
0, 1, 10, 50
Suppose -520 + 2648 = 16*d. Factor -86*u**2 + 12*u + 7 + 1 - 34*u**2 - 33*u**3 + d*u**3.
4*(u - 1)*(5*u - 2)*(5*u + 1)
Let s be 3/(-9) + (-171)/(-27). Suppose 3*m - 4*u + 0*u = s, 10 = 5*m + 2*u. Factor 8*y + 6 - 2*y**2 + 8 - 10 + 6*y**m.
4*(y + 1)**2
Let m = 26 - 11. Let s be (m - 18) + 5/1. Solve -4*h**3 - h**3 + 9 + 20*h**2 - 17*h**s + 2*h**3 + 15*h = 0 for h.
-1, 3
Let w be (-1)/(-4)*(10 + (-1818)/189). Let x(s) be the second derivative of 0*s**2 - 1/42*s**4 + 0 + w*s**3 - 9*s. Factor x(v).
-2*v*(v - 2)/7
Let o(f) = 6*f - 27. Let j be o(6). Suppose 7 - 25 = -j*l. Let -5*h - 4*h - 3*h + 36 - 12*h**2 + 13*h**l = 0. Calculate h.
6
Let s(u) be the second derivative of -5*u**4/12 - 105*u**3 - 625*u**2/2 + 3*u + 1399. Determine n, given that s(n) = 0.
-125, -1
Let l = 1870 - 1870. Let f(j) be the third derivative of 1/20*j**5 - 1/2*j**3 + 34*j**2 + 0 + l*j**4 + 0*j. Factor f(r).
3*(r - 1)*(r + 1)
Let m(b) be the third derivative of b**7/945 - 73*b**6/90 - 44*b**5/9 - 661*b**4/54 - 49*b**3/3 - 25*b**2 - 75*b - 1. Factor m(u).
2*(u - 441)*(u + 1)**3/9
Let v(p) be the third derivative of p**6/30 - 202*p**5/3 + 336*p**4 + 1754*p**2 + 1. Factor v(h).
4*h*(h - 1008)*(h - 2)
Suppose 720 = -44*q + 48*q. Suppose q*h - 16 = 172*h. Factor -2*f**3 + f**4 + 1/5 + 2*f**h - 1/5*f**5 - f.
-(f - 1)**5/5
Factor -30*i - 92*i**2 - 258*i**4 - 353*i**3 + 160*i**4 - 193*i**3 - 10*i - 196*i**2.
-2*i*(i + 5)*(7*i + 2)**2
Let o(s) = s**2 - 19*s + 49. Let w(c) = -c - 3. Let f(i) = -o(i) - 3*w(i). Factor f(j).
-(j - 20)*(j - 2)
Let r = 109913/2 - 54955. Factor -r*d + 1/4*d**3 + 1/4*d**2 + 0.
d*(d - 2)*(d + 3)/4
Let i(q) be the first derivative of -24 + 12*q + 2/3*q**3 + 7*q**2. Factor i(l).
2*(l + 1)*(l + 6)
Let -24/11*t**2 - 20/11*t**3 - 6/11*t**4 - 12/11*t - 2/11 = 0. What is t?
-1, -1/3
Let k(g) = -225*g + 220*g + 4*g**2 + 26*g**3 - 20*g**3. Let f(n) = n - n**2 + 3*n - 3*n - n**3. Let u(o) = -5*f(o) - k(o). Factor u(b).
-b**2*(b - 1)
Let b be (-2)/(-2) - (-3 - 0). Let d be -33 + 20 + (-789)/(-57). Let d + 316/19*z**2 + 120/19*z + 208/19*z**b + 378/19*z**3 + 42/19*z**5 = 0. Calculate z.
-2, -1, -2/3, -2/7
Let x be 27702/(-972) - (-28 + -1). What is a in -x*a**3 + 0 + 0*a - 1/3*a**2 - 1/6*a**4 = 0?
-2, -1, 0
Let x(a) be the second derivative of 0 + 1/6*a**4 + 227*a - 13/36*a**3 + 1/120*a**5 + 0*a**2. Factor x(w).
w*(w - 1)*(w + 13)/6
Let k(d) = -15*d + 227. Let n be k(15). Factor 480 + 542 - 2*f**2 + 92*f + 1094 + 3*f**n.
(f + 46)**2
Let b(x) be the first derivative of -x**8/1680 + x**7/280 - x**6/180 + x**3/3 + 145*x + 120. Let i(g) be the third derivative of b(g). Factor i(m).
-m**2*(m - 2)*(m - 1)
Let o be (-30 + 30)*(5 + (-4 + 5)*-4). Factor -i**2 - 1/5*i**3 + o - 6/5*i.
-i*(i + 2)*(i + 3)/5
Let l(y) be the second derivative of -y**6/30 + 11*y**5/10 - 4*y**4/3 - 17*y**3 - 63*y**2/2 + 819*y. Factor l(u).
-(u - 21)*(u - 3)*(u + 1)**2
Let i(b) = -2*b**3 + 7*b**2 - 4*b - 2. Let s be i(2). Let -11*q + 4*q**2 + 4 + s*q + q = 0. What is q?
1
Let k = 3825 - 3821. Let f(o) be the third derivative of 1/60*o**5 + 1/24*o**k + 0*o - 1/3*o**3 + 0 - 7*o**2. Factor f(w).
(w - 1)*(w + 2)
Let u(h) be the third derivative of -h**8/1092 + 41*h**7/1365 - 61*h**6/195 + 248*h**5/195 - 16*h**4/13 + h**2 + 28*h + 1. What is m in u(m) = 0?
0, 1/2, 4, 12
Suppose 0*x = -9*x + 36. Suppose 0 = x*s + 2*q - 30, 2*s - 2*q = -q + 5. Solve -10/17*v**2 + 8/17 + 2/17*v**4 + 8/17*v + 2/17*v**s - 10/17*v**3 = 0 for v.
-2, -1, 1, 2
Let o(x) = -48*x**2 + 225*x - 783. Let u(g) be the first derivative of 7*g**3/3 - 16*g**2 + 112*g + 92. Let t(y) = 4*o(y) + 27*u(y). What is m in t(m) = 0?
6
Let b(n) be the first derivative of -n**5/5 - 3*n**4/2 - 11*n**3/3 - 3*n**2 + 3. Suppose b(q) = 0. Calculate q.
-3, -2, -1, 0
Let m(n) be the first derivative of n**4/8 - 14*n**3/3 + 141*n**2/4 - 99*n - 1132. Factor m(i).
(i - 22)*(i - 3)**2/2
Let z = -3460/21 - -3511/21. Find g, given that -16/7*g + z - 1/7*g**2 = 0.
-17, 1
Let q = -941278 - -6588954/7. Solve -16/7*h**3 - 4/7*h**2 - 4/7*h**4 + q + 2/7*h**5 + 2*h = 0 for h.
-1, 1, 4
Let z(x) = -7*x**2 + 6879*x - 5923502. Let b(n) = 10*n**2 - 10319*n + 8885271. Let q(y) = -5*b(y) - 7*z(y). Factor q(o).
-(o - 1721)**2
Let s = -1352657/6 - -225443. Factor s*f**2 + 0 - 3*f.
f*(f - 18)/6
Let k(o) = o**3 + 14*o**2 + 22*o + 310. Let r be k(-14). Determine j, given that 1/6*j**5 + 0 - j**3 + 0*j**4 + 4/3*j**r - 1/2*j = 0.
-3, 0, 1
Let g = -493 + 495. Let b be (-36)/6 + 16/g. Factor 0 + 1/3*x**3 + 0*x + 1/3*x**b.
x**2*(x + 1)/3
Let a(l) = -l**2 + 11*l - 24. Let d be a(5). Let g be (-2)/(d + -14 + 0). Factor 3/4 - g*x**2 - 1/2*x.
-(x - 1)*(x + 3)/4
Suppose -574*q - 5 = -575*q. Factor 4*b**5 + 12*b**2 + 18*b**2 + 30*b**3 + 10*b**2 + 25*b + 6 + 10*b**4 - 6*b**5 + 3*b**q.
(b + 1)**4*(b + 6)
Let s(r) be the first derivative of 4*r**7/21 - 11*r**6/15 + r**5/2 + r**4/3 - 45*r + 25. Let z(o) be the first derivative of s(o). Solve z(n) = 0 for n.
-1/4, 0, 1, 2
Let m(u) be the third derivative of 3*u**8/392 + 2*u**7/245 - 23*u**6/420 - 4*u**5/105 + 4*u**4/21 + 304*u**2. Factor m(j).
2*j*(j - 1)**2*(3*j + 4)**2/7
Let x(o) = -2*o - 60. Let n be x(-30). Factor 564*v**2 + n*v**4 + 22*v**3 + 2*v**4 - 267*v**2 - 261*v**2.
2*v**2*(v + 2)*(v + 9)
Let p(x) be the first derivative of 1/132*x**4 - 1/1980*x**6 + 0*x**5 + 0*x**2 - 25/3*x**3 + 0*x + 1. Let z(b) be the third derivative of p(b). Factor z(j).
-2*(j - 1)*(j + 1)/11
Suppose 10 - 8/3*f**4 - 56/3*f + 16*f**3 - 10*f**2 = 0. What is f?
-1, 1/2, 3/2, 5
Let q be ((-22)/(-506))/(94/6486). Factor 0*a - 6*a**q + 0 - 9/4*a**2 + 9/4*a**4.
3*a**2*(a - 3)*(3*a + 1)/4
Solve 520*c + 2948*c - 2829*c + 1851*c + 5*c**2 - 7515 = 0.
-501, 3
Let m(v) be the second derivative of v**4/9 - 928*v**3/9 + 107648*v**2/3 - 2718*v. Factor m(t).
4*(t - 232)**2/3
Let p be (-13 - (-429)/55) + 6. Factor -36/5*j + p*j**2 + 32/5.
4*(j - 8)*(j - 1)/5
Suppose -181*w - 17 = -182*w - 3*a, -4*w - 62 = -14*a. Factor 0 - 2/3*h**3 + 0*h - 20/3*h**w.
-2*h**2*(h + 10)/3
Let i(m) = 6*m**2 + 280*m + 3156. Let g be i(-19). Let 172/9 - 56/3*h - 4/9*h**g = 0. What is h?
-43, 1
Suppose -2*d - 2108 = -2078, 3*d = b - 48. Factor -4*u**2 - 2/3*u**4 + 0 + 0*u + 14/3*u**b.
-2*u**2*(u - 6)*(u - 1)/3
Let o(v) be the third derivative of v**8/84 - 34*v**7/35 + 45*v**6/2 - 125*v**5/3 + 96*v**2. Factor o(h).
4*h**2*(h - 25