 + 0 - 9/8*q**y.
3*q**3*(q - 3)/8
Let r(m) be the second derivative of -16/11*m**2 - 1/33*m**7 - 124*m - 70/33*m**3 + 47/165*m**6 + 7/10*m**5 - 31/66*m**4 + 0. Find p, given that r(p) = 0.
-1, -2/7, 1, 8
Factor 3*y**2 + 35/3*y - 4/3.
(y + 4)*(9*y - 1)/3
Let m(q) be the first derivative of q**6/15 - 32*q**5/25 + 21*q**4/5 - 16*q**3/3 + 13*q**2/5 - 810. Factor m(c).
2*c*(c - 13)*(c - 1)**3/5
Determine w so that 6535728/5*w - 8856/5*w**2 - 1607789088/5 + 4/5*w**3 = 0.
738
Let z = 27582 - 413716/15. Let o(v) = -v**2 - 6*v - 6. Let s be o(-4). Find a, given that -4/15 - 2/3*a + z*a**s = 0.
-2/7, 1
Suppose 326 = -k + 336. Let y be 94/235 - (-46)/k. Let -2/3*v - 1/3*v**3 + 0 + v**y - 5/3*v**2 + 5/3*v**4 = 0. Calculate v.
-1, -2/3, 0, 1
Factor -732677*b - 191916031 - 1077816*b - 5*b**3 + 1027872*b - 7260*b**2 - 2731219*b - 374983489.
-5*(b + 484)**3
Let a(m) be the third derivative of -m**6/30 + 209*m**5/150 + 23*m**4/60 - 14*m**3/5 + 114*m**2. Solve a(l) = 0 for l.
-1/2, 2/5, 21
Suppose 0 = 29*h - 22*h. Let c be 48/108*72/80. Let h*g - c*g**2 + 0 - 2/5*g**3 = 0. Calculate g.
-1, 0
Let v = 145 - 142. Solve -27*l**3 + 1129*l**2 + 4*l - 9*l**v + 18*l**4 - 1131*l**2 = 0 for l.
-1/3, 0, 1/3, 2
Let y be 1702/5106*(12 - 0). Factor 4/3 - 5/6*d**3 + 1/2*d**y - 7/3*d**2 + 10/3*d.
(d - 2)**2*(d + 2)*(3*d + 1)/6
Let x(v) be the first derivative of -2704*v**3/3 + 52*v**2 - v + 1335. Factor x(g).
-(52*g - 1)**2
Suppose 327*a - 167 = 487. Let r(v) be the third derivative of -3/20*v**5 + 0 - 1/12*v**4 + 0*v + 10*v**a + 0*v**3. Factor r(n).
-n*(9*n + 2)
Let k(v) = 2*v**5 - 6*v**4 - 8*v**3. Let p be (-2170)/(-20) - (-1)/2. Let c(f) = 109 + f**3 - p + f**4. Let o(n) = -2*c(n) - k(n). Solve o(x) = 0 for x.
-1, 0, 3
Factor 4449 + 2170485*f + 4*f**2 - 7*f**2 - 2166039*f.
-3*(f - 1483)*(f + 1)
Let n(u) = 9*u**2 - 45*u + 144. Let d(r) = 7*r**2 - 45*r + 140. Let a(h) = 3*d(h) - 2*n(h). Factor a(b).
3*(b - 11)*(b - 4)
Let d(m) be the first derivative of -m**4/2 - 234*m**3 + 1084. Suppose d(s) = 0. What is s?
-351, 0
Let y(l) be the third derivative of l**7/420 + l**6/80 + l**5/40 + l**4/48 + 972*l**2. Factor y(a).
a*(a + 1)**3/2
Suppose 47*s + 18 - 18 = -31*s. Let l(z) be the first derivative of -3/4*z**4 + 3*z**2 - 25 + s*z - z**3. Suppose l(d) = 0. What is d?
-2, 0, 1
Let x be (0 + 5)/(-10)*72*-1. Solve -31*m - 4*m**4 + x*m**3 - 108*m**2 + m**4 + 31*m = 0.
0, 6
Let u(c) = 8*c**5 + 26*c**4 + 68*c**3 + 74*c**2 + 68*c + 14. Let v(y) = y**5 + y**4 - 5*y**2 - y - 1. Let b(l) = u(l) - 6*v(l). Solve b(h) = 0.
-5, -2, -1
Suppose 6*m - 375 = 1137. Let d = m - 1256/5. Determine c so that 0*c**4 - 2/5*c**5 + d*c**2 - 6/5*c + 8/5*c**3 - 4/5 = 0.
-1, 1, 2
Let a(k) be the third derivative of -k**8/4032 - k**7/336 + 7*k**6/36 + 23*k**5/10 - k**2 - 13. Let w(t) be the third derivative of a(t). Factor w(x).
-5*(x - 4)*(x + 7)
What is r in -2/7*r**4 + 392 + 102*r**2 - 26/7*r**3 - 490*r = 0?
-28, 1, 7
Let s be (6 - 54)/6*1*3/(-6). Factor 24/5 - 8*t + 26/15*t**2 + 4/3*t**3 + 2/15*t**s.
2*(t - 1)**2*(t + 6)**2/15
Let r be (43 - 43)/(-2 + 1) - (21 + 3460/(-140)). Factor -r*w**2 + w**3 + 20/7*w + 8/7.
(w - 2)**2*(7*w + 2)/7
Let l(b) = 2*b**3 - 5*b**2 - 18*b**2 + 2*b - 21 - 17*b + 5*b. Let g be l(12). Let 0*p**g - 4/5*p + 6/5*p**2 + 0 - 2/5*p**4 = 0. What is p?
-2, 0, 1
Factor 1714750 + 2*i**3 + 113541*i**2 + 54150*i - 56446*i**2 - 56525*i**2.
2*(i + 95)**3
Let z(k) = k**2 + 7*k + 14. Let u(r) = -r**2 - 8*r - 16. Let w(p) = -3*u(p) - 2*z(p). Let m be w(-8). Factor -7/6*b**2 + 5/6*b**3 + 1/2*b - 1/6*b**m + 0.
-b*(b - 3)*(b - 1)**2/6
Solve 18*j**5 - 7*j**5 - 6*j**3 - 21*j**5 + 36*j**2 - 27*j - 4*j**4 + 11*j**5 = 0.
-3, 0, 1, 3
Let z(f) be the first derivative of f**4/6 - 88*f**3/9 + 164*f**2/3 - 320*f/3 - 1346. Let z(n) = 0. What is n?
2, 40
Let z be ((-42)/(-55))/(639/2343). Suppose 2/5*i**3 + z*i**2 - 16/5*i + 0 = 0. Calculate i.
-8, 0, 1
Let g = -254235 + 254245. Let 45/4*h**2 + 35/4*h - 35/4*h**3 - 5/4*h**4 - g = 0. Calculate h.
-8, -1, 1
Determine v so that 9/7*v**5 - 40/7*v - 10/7*v**3 - 27/7*v**4 + 76/7*v**2 + 0 = 0.
-5/3, 0, 2/3, 2
Suppose -317*z - 333*z + 545 = -157*z - 934. Solve -34/5*k + 8/5 - 2*k**2 + 9/10*k**z = 0.
-2, 2/9, 4
Determine g, given that -12/7*g**2 - 74/7*g + 0 = 0.
-37/6, 0
Suppose 5*q + 209 = 224. Determine u so that -9*u**3 + 0*u**3 - 66*u + 11 - 15*u**3 + 63*u**2 + 13 + q*u**4 = 0.
1, 2, 4
Let n(h) be the second derivative of 0*h**2 + 1/42*h**7 - 4 + 3/2*h**3 - 4/15*h**6 - 7*h - 1/2*h**5 + 2/3*h**4. Factor n(w).
w*(w - 9)*(w - 1)*(w + 1)**2
Suppose n = 4*n + 4*k - 76, -2*k - 170 = -5*n. Find u such that -u**3 - 30 - 10*u**2 - 2 + 0 - n*u = 0.
-4, -2
Let -376*n**4 - 79*n**3 + 187*n**4 - 36*n + 104*n**2 + 4*n**5 - 17*n**3 + 213*n**4 = 0. Calculate n.
-9, 0, 1
Suppose 5*f + 0*l - 2*l - 3 = 0, 5*f - 3*l = 2. Let o be 8/12*(5 + -1 - f). Factor -6/7 - 15/7*v - 9/7*v**o.
-3*(v + 1)*(3*v + 2)/7
Let a = 404 + -413. Let u be (-4)/((-24)/a)*4/(-9). Solve u*i + 0 + 2/9*i**3 - 2/9*i**4 + 10/9*i**2 = 0.
-1, 0, 3
Let d(r) be the first derivative of -5*r**6/36 + r**5/2 + 115*r**4/24 - 125*r**3/6 + 125*r**2/6 + 3163. Solve d(n) = 0 for n.
-5, 0, 1, 2, 5
Suppose 3*x + 3*z - 18 = 0, 5*x - 217*z - 9 = -215*z. Let s(a) be the second derivative of -1/7*a**x - 1/28*a**4 - 18*a + 0 + 0*a**2. Let s(v) = 0. Calculate v.
-2, 0
Let a(x) = 7*x**2 + 7*x + 11. Let u(q) = -4*q**2 - 8. Let j(m) = 4*m**2 + m + 7. Let b(t) = -3*j(t) - 2*u(t). Let d(k) = -3*a(k) - 5*b(k). Factor d(f).
-(f + 2)*(f + 4)
Factor 2051*x + 520 + 942*x + 977 - 7*x**2 + 5*x**2.
-(x - 1497)*(2*x + 1)
Let n(u) = -u - 3*u**2 - 1 - u**2 + 5*u**2 + u**3. Let y(h) = -h**3 + 8*h**2 - 5*h - 2. Let x = 114 + -116. Let p(j) = x*n(j) + y(j). Factor p(m).
-3*m*(m - 1)**2
Determine m so that -5*m**3 + 593 + 290*m**2 - 3742*m + 17 + 4647*m = 0.
-2, -1, 61
What is u in -47/3*u + 2/3*u**3 - 8 - 43/6*u**2 + 1/6*u**4 = 0?
-8, -1, 6
Let h = -331 + 336. Suppose -47*l + 46*l + h = 0. Factor -6/11*o**4 + 6/11*o + 2/11 + 4/11*o**2 - 2/11*o**l - 4/11*o**3.
-2*(o - 1)*(o + 1)**4/11
Let h(g) = 3*g**2 - 198*g - 3465. Let z(f) = 2*f**2 + 2*f + 1. Let q be -11 + -16*(-4)/8. Let j(o) = q*z(o) + h(o). Factor j(b).
-3*(b + 34)**2
Let a(i) = 9*i + 196. Let o be a(-24). Let z be 60/125*o/(-6). Factor 1/5 - 1/5*h**2 + z*h**3 - 8/5*h.
(h - 1)*(h + 1)*(8*h - 1)/5
Let d(x) = 9*x**2 + 1497*x + 34575. Let l(w) = w**2 + 214*w + 4934. Let r(f) = 2*d(f) - 15*l(f). Factor r(v).
3*(v - 90)*(v + 18)
Let i(d) = -2784*d - 36189. Let u be i(-13). Find y such that 51/2*y**2 + 9/2 - 6*y**u - 24*y = 0.
1/4, 1, 3
Suppose -54*s**3 + 267*s - 209*s**2 - 34*s**2 - 20*s + 89*s + 2880 - 3*s**4 = 0. What is s?
-8, -5, 3
Let v(o) = -o**2 - 75*o + 517. Let q be v(-74). Let t = 600 - q. Factor 81/2 - t*g + 1/2*g**2.
(g - 9)**2/2
Let q(j) = 5*j + 2*j - 6*j - 1 + j**3 - j**2. Let p(z) = 19*z**3 - z**2 + 7*z - 17. Let v = 31 - 53. Let n(w) = v*q(w) + 2*p(w). Solve n(b) = 0.
-1, 3/4
Let f(j) be the first derivative of 5*j**3/3 - 2610*j**2 + 1362420*j - 1694. Factor f(n).
5*(n - 522)**2
Determine m, given that 88*m**2 - 43 + 62 - 4*m + 4*m**3 - 107 = 0.
-22, -1, 1
Let s be 114/10 + (25970/(-53))/49. Let -s*g**2 + 1/5*g**3 + 11/5*g - 1 = 0. What is g?
1, 5
Let w(n) = -25*n**3 - 735*n**2 + 1920*n - 35. Let j(d) = 2*d**3 + 61*d**2 - 160*d + 3. Let m(h) = 35*j(h) + 3*w(h). Factor m(t).
-5*t*(t - 2)*(t + 16)
Let u = 72623 - 72621. Factor 12*a**u + 14/3*a**3 + 40/3*a + 2/3*a**4 + 16/3.
2*(a + 1)*(a + 2)**3/3
Let i(n) be the third derivative of -n**7/630 - 41*n**6/360 - 277*n**5/180 - 145*n**4/24 - 11*n**3 - 1302*n**2. Factor i(z).
-(z + 1)**2*(z + 6)*(z + 33)/3
Let z(h) = h**3 - 2*h**2 - 3*h - 40. Let a be z(0). Let s be (4/(-8))/(4/a). Factor 0 + 0*b**2 + 0*b**4 + 4/5*b**3 - 4/5*b**s + 0*b.
-4*b**3*(b - 1)*(b + 1)/5
Let h(w) be the first derivative of 2*w**6 - 72*w**5/5 + 15*w**4/4 + 89*w**3 + 108*w**2 + 48*w + 1999. Suppose h(b) = 0. What is b?
-1, -1/2, 4
Let y(j) = 14*j**2. Suppose 8*o - 1 = 7. Let t be y(o). Determine s so that 4*s**2 + s**4 - t*s**4 + 5*s**4 + 4*s**4 = 0.
-1, 0, 1
Let b(r) be the third derivative of r**8/168 + 13*r**7/21 + 21*r**6/20 - 13*r**5/6 - 16*r**4/3 + 462*r**2. Solve b(k) = 0.
-64, -1, 0, 1
Factor 187488/5*m - 369024/5 + 3/5*m**3 - 1494/5*m**2.
3*(m - 248)**2*(m - 2)