x(s). Determine g so that o(g) = 0.
2, 6
Factor 3/4*y**2 - 447/4*y - 1155/2.
3*(y - 154)*(y + 5)/4
Suppose 672/11*a + 1084/11*a**2 - 1962/11 - 2/11*a**4 + 208/11*a**3 = 0. What is a?
-3, 1, 109
Let l(z) = -2*z**2 + 45*z + 3. Let c(a) be the second derivative of -a**4/4 + 15*a**3 + 7*a**2/2 - 49*a + 1. Let k(n) = 3*c(n) - 7*l(n). Factor k(d).
5*d*(d - 9)
Let o(j) be the third derivative of j**8/168 + 4*j**7/105 - 61*j**6/60 - 2*j**5/15 + 5*j**4 + 10*j**2 + 7*j + 36. Find k such that o(k) = 0.
-10, -1, 0, 1, 6
Let v(r) = -r**2 + 43*r - 529. Let x(a) = -a**2 + 44*a - 529. Let b(g) = -2*v(g) + 3*x(g). Let b(n) = 0. Calculate n.
23
Determine w, given that 0*w - 9/5*w**3 + 6/5*w**4 - 1/5*w**5 + 4/5*w**2 + 0 = 0.
0, 1, 4
Let t = 0 - 0. Let d = 29/2120 + 183/2120. Suppose -d*h**5 - 1/10*h**4 + 0*h**2 + 0*h**3 + 0 + t*h = 0. Calculate h.
-1, 0
Solve -97*q**2 + 240842 + 1541956 - 5650*q + 202*q**2 - 186673 - 100*q**2 = 0 for q.
565
Suppose -c = -2*d + 4, -5*c = -4*c + d - 5. Determine k, given that -784 - 11*k - 45*k - 260*k**2 + 259*k**c = 0.
-28
Let h(k) be the third derivative of 1/315*k**7 + 7/540*k**6 + 0*k**3 - 1/90*k**5 + 0 + 0*k - 1/54*k**4 - 5/1512*k**8 - 26*k**2. Suppose h(w) = 0. Calculate w.
-1, -2/5, 0, 1
Suppose 2*i**3 - 6*i**3 + 30122*i**2 - 1728 - 30198*i**2 + 800*i = 0. What is i?
-27, 4
Let f = 9724/3 - 58343/18. Let y(w) be the first derivative of -1/4*w**2 + 5/3*w - 31 - f*w**3. What is z in y(z) = 0?
-5, 2
Let x(y) = -40*y**3 + 73*y**2 + 6*y - 5. Let u(l) = 14*l**3 - 26*l**2 - 2*l + 2. Let b(c) = 17*u(c) + 6*x(c). Factor b(m).
-2*(m - 1)*(m + 1)*(m + 2)
Let a(b) be the first derivative of -8/7*b**2 - 32/7*b - 2/21*b**3 - 86. Factor a(v).
-2*(v + 4)**2/7
Find u such that 2*u**2 - 16 + 50*u + 37 - 15*u - 69 + 11*u = 0.
-24, 1
Let a(v) be the second derivative of 18/7*v**3 - 3/35*v**5 - 2/105*v**6 + 0*v**2 + 2*v + 3/7*v**4 + 7. Factor a(p).
-4*p*(p - 3)*(p + 3)**2/7
Find q, given that 2/5*q**2 + 607202/5 + 2204/5*q = 0.
-551
Let m = -505 + 641. Let x be 220/m - 28/238. Factor -x*u - 1/2*u**2 + 2.
-(u - 1)*(u + 4)/2
Determine s, given that -1664*s + 5*s**3 - s**3 + 942*s**2 - 1252*s**2 - 514*s**2 = 0.
-2, 0, 208
Find m, given that -3/5*m**4 + 24/5*m**3 + 768/5*m + 0 + 336/5*m**2 = 0.
-4, 0, 16
Let y(b) = 17*b**4 + 28*b**3 + 141*b**2 + 164*b + 46. Let n(o) = 5*o**4 - o**3 + o - 1. Let j(l) = -3*n(l) + y(l). Factor j(q).
(q + 1)*(q + 7)**2*(2*q + 1)
Factor 5*v**2 + 95*v**3 - 271*v**3 + 89*v**3 + 162*v - 68*v**2 + 90*v**3.
3*v*(v - 18)*(v - 3)
Let h be -8 - ((-6909)/504 - 3/(-8)). Let i(b) be the first derivative of 6*b**2 + 0*b - 12 + b**4 + h*b**3. Factor i(a).
4*a*(a + 1)*(a + 3)
Let -39*q + 7*q**2 + 2*q**2 + 22 + q**3 - 9*q**2 + 2*q**2 + 50 = 0. Calculate q.
-8, 3
Factor -t**2 + 1/4*t + 1/4*t**3 + 3/2.
(t - 3)*(t - 2)*(t + 1)/4
Let m(g) = -g**3 + 7*g**2 + 2*g + 12. Let h be m(6). Let o be (h/(-25))/(20/(-25)). Factor 0 + 8/5*z**2 - 8/5*z - 2/5*z**o.
-2*z*(z - 2)**2/5
Let g(s) be the third derivative of -s**8/672 - s**7/28 - 11*s**6/240 + 47*s**5/120 + 3*s**4/2 + 7*s**3/3 + 498*s**2. Factor g(m).
-(m - 2)*(m + 1)**3*(m + 14)/2
Find k such that 0 - 10/11*k**4 + 1528/11*k**3 + 0*k + 306/11*k**2 = 0.
-1/5, 0, 153
Let a(u) be the first derivative of -107 + 2/15*u**5 - 32/9*u**3 + 5/4*u**4 + 0*u + 8/3*u**2 - 1/18*u**6. Find s such that a(s) = 0.
-4, 0, 1, 4
Factor -579/4*n - 3/4*n**3 + 72 + 147/2*n**2.
-3*(n - 96)*(n - 1)**2/4
Let i(w) = 2*w**3 + 168*w**2 + 4*w - 166. Let q(c) = -8*c**3 - 671*c**2 - 19*c + 662. Let u(y) = 9*i(y) + 2*q(y). Factor u(z).
2*(z - 1)*(z + 1)*(z + 85)
Let m(f) be the first derivative of 25*f**6/6 - 69*f**5 + 1055*f**4/4 - 1075*f**3/3 + 120*f**2 + 100*f - 636. Find b, given that m(b) = 0.
-1/5, 1, 2, 10
Let r(c) be the third derivative of -19/60*c**5 + 0 + 198*c**2 - 2/3*c**3 + 0*c - 1/672*c**8 - 7/12*c**4 - 5/48*c**6 - 2/105*c**7. Factor r(k).
-(k + 1)**2*(k + 2)**3/2
Let o(d) be the first derivative of -d**3 + 0*d**2 + 3/5*d**5 + 0*d**4 + 27 + 0*d. Find t, given that o(t) = 0.
-1, 0, 1
Let k = -23914 + 95659/4. Let t(v) be the first derivative of 0*v**2 + 0*v + 1/5*v**5 + 30 - k*v**4 + 0*v**3. Factor t(d).
d**3*(d - 3)
Let b(j) be the first derivative of -j**4/24 + j**3/6 + 132*j - 57. Let g(k) be the first derivative of b(k). Determine n so that g(n) = 0.
0, 2
Let x(j) be the second derivative of 0*j**3 - 61 + 2/57*j**4 + 0*j**2 - j - 1/190*j**5. Factor x(h).
-2*h**2*(h - 4)/19
Suppose 1651 = -g + 21156. Suppose g = 5*p - 6*n + n, 0 = 3*p + 5*n - 11671. Factor 283*y - 45*y**2 + 522 - p - 958*y - y**3.
-(y + 15)**3
Let l(a) be the second derivative of -a**4/24 + 353*a**3/6 + 2127*a**2/4 + 10278*a. Find b, given that l(b) = 0.
-3, 709
Let h(d) be the second derivative of -17 + 0*d**2 - 1/20*d**5 - 1/15*d**6 + 1/12*d**4 + d + 0*d**3. Factor h(w).
-w**2*(w + 1)*(2*w - 1)
Let u(m) be the third derivative of -m**7/105 + 11*m**6/240 + m**5/40 - m**4/3 - m**3/3 - 1280*m**2. Suppose u(b) = 0. Calculate b.
-1, -1/4, 2
Suppose 0 = 4*g + 3*a - 20, 3*a = -22 + 34. Factor 6*o + 2/5*o**g + 0.
2*o*(o + 15)/5
Let r(s) = -s**3 + 5*s**2 + 11*s - 27. Let i be r(6). Suppose i*o = -14 + 53. Let -5*x**2 - 27*x - o*x + 10*x**2 + 80 = 0. What is x?
4
Factor -32/5*p**2 + 7*p - 1/5*p**5 + 4/5*p**4 - 12/5 + 6/5*p**3.
-(p - 4)*(p - 1)**3*(p + 3)/5
Let a be 10/4 + -3 - (-5)/2. Solve -8*j**3 + 16 + 5*j - 36*j**a + 3*j**3 - 23*j**3 + 43*j = 0 for j.
-2, -2/7, 1
Let s be 220/275 - (-2 + 12369/4740). Let h = 3/316 + s. Factor 6/5*n**2 + 8/5*n**3 + h*n**4 + 5 - 8*n.
(n - 1)**2*(n + 5)**2/5
Let -l**2 + 461*l - 1471*l + 360*l - 1094116 - 522*l - 920*l = 0. What is l?
-1046
Let z(b) = -15*b**2 - 425*b + 840. Let p(u) = 22*u**2 + 636*u - 1262. Let j(k) = -5*p(k) - 7*z(k). Factor j(w).
-5*(w - 2)*(w + 43)
Factor 3/4*x**3 - 3*x + 9 - 9/4*x**2.
3*(x - 3)*(x - 2)*(x + 2)/4
Let y = 16 - 62. Let q = y - -49. Factor -3*o**q - 1 + 1 - 12*o + 12*o**2.
-3*o*(o - 2)**2
Let -41/9*n**2 - 739/9*n - 2 = 0. What is n?
-18, -1/41
Let a(f) be the first derivative of -24*f - 268 + 76/3*f**3 + 4*f**4 + 38*f**2. Factor a(d).
4*(d + 2)*(d + 3)*(4*d - 1)
Let u = 120583 + -844063/7. Determine c, given that -u*c**2 + 4/7*c + 0 = 0.
0, 2/9
Let j(y) be the third derivative of 0*y - 1/10*y**5 + 4 + 1/24*y**4 + 1/3*y**3 - 7/120*y**6 - 1/105*y**7 - 2*y**2. Factor j(i).
-(i + 1)**2*(i + 2)*(2*i - 1)
Factor n**3 + 0 - 1/6*n**4 + 4/3*n - 2*n**2.
-n*(n - 2)**3/6
Let d(q) = 6*q**3 + 275*q**2 - 7126*q - 7399. Let n(m) = m**3 + 4*m + 1. Let c(u) = -d(u) + n(u). Factor c(t).
-5*(t - 20)*(t + 1)*(t + 74)
Factor 1/5*a**3 - 49/5*a**2 + 49/5 - 1/5*a.
(a - 49)*(a - 1)*(a + 1)/5
Suppose 6*m - 5*m = 3. Suppose 5 - 41 = -m*f. Find t such that 6*t**3 + t**5 - 4*t**4 + 22*t**2 - f*t**2 - 14*t**2 + t = 0.
0, 1
Suppose -23*p = 39 - 683. Suppose 52 = 6*g + p. Factor 5/4*n**g + 5/4*n**5 - 5/2*n**2 + 5/4 - 5/2*n**3 + 5/4*n.
5*(n - 1)**2*(n + 1)**3/4
Let i(a) be the first derivative of 0*a + 5/12*a**3 + 5/4*a**4 - 1/4*a**5 + 128 - 5/2*a**2. Factor i(u).
-5*u*(u - 4)*(u - 1)*(u + 1)/4
Let b(s) be the third derivative of -s**7/1260 + s**6/480 + s**5/240 - 29*s**4/24 + 19*s**2 + 2. Let j(o) be the second derivative of b(o). Factor j(f).
-(f - 1)*(4*f + 1)/2
Let b(w) be the first derivative of 40*w**2 + 4*w**3 - 4*w**4 + 2/5*w**5 + 50*w - 23. What is t in b(t) = 0?
-1, 5
Let f(m) be the third derivative of m**8/168 + 2*m**7/105 - 14*m**2 + 97. Determine q so that f(q) = 0.
-2, 0
Factor 500/7*b**2 + 374/7*b + 18/7*b**3 - 108/7.
2*(b + 1)*(b + 27)*(9*b - 2)/7
Let c(i) be the first derivative of -i**4/10 - 2*i**3/3 + i**2/5 + 2*i - 420. Factor c(w).
-2*(w - 1)*(w + 1)*(w + 5)/5
Suppose -m + 11 = -3*d, 4*m - 24 = -5*d + 3. Let v be (m/(0 - 4))/(-15 - 0). Determine i, given that 0 + 4/5*i - v*i**2 = 0.
0, 6
Let q(z) be the first derivative of 1/2*z**4 + 7/3*z**3 + 2*z**2 + 130 - 1/5*z**5 + 0*z. Find m such that q(m) = 0.
-1, 0, 4
Let k(p) be the first derivative of 4/3*p**2 + 0*p + 2/9*p**3 + 240 + 1/30*p**5 - 1/2*p**4 + 1/36*p**6. Factor k(d).
d*(d - 2)**2*(d + 1)*(d + 4)/6
Determine k so that 105 - 1/2*k**2 - 209/2*k = 0.
-210, 1
Let x(t) be the second derivative of -5/18*t**3 + 1/2*t**2 + 1/18*t**4 + 0 + 56*t. What is q in x(q) = 0?
1, 3/2
Suppose -141 + 302 = 23*z. Let u be 0*(z + 5)/36. Factor 3/5*s**2 