1)*(i + 5)/7
Suppose 2 = -2*d - i, -2*i + 150 - 154 = 0. Let s(x) be the first derivative of d*x - 5/3*x**3 + 15*x**2 + 14. Let s(p) = 0. Calculate p.
0, 6
Let l(z) = -2*z**2 + 13*z - 3. Let n be l(6). Factor -11*y**4 - 3*y**5 + 12*y**n + y + 4 - 6*y**2 - 6*y**3 - 3 - 20*y**3.
-(y + 1)**4*(3*y - 1)
Let q(w) be the second derivative of -2*w**2 - 43/6*w**4 + 15*w**3 - 56*w + 0. Determine n so that q(n) = 0.
2/43, 1
Suppose 98*d - 5 = -0 - 5. Let i(w) be the first derivative of 5 - 1/24*w**4 + 1/18*w**3 + 0*w**2 + d*w. Factor i(j).
-j**2*(j - 1)/6
Let f(n) be the second derivative of -n**6/165 - n**5/66 + n**4/66 + n**3/11 - 11*n**2 + n - 5. Let q(b) be the first derivative of f(b). Factor q(h).
-2*(h + 1)**2*(4*h - 3)/11
Let y(h) be the second derivative of h**4/12 + 169*h**3/6 + 330*h**2 + 1533*h. Find w such that y(w) = 0.
-165, -4
Suppose 4*o - 3*q - 105 = o, 34 = o - 2*q. Let 5*l**5 - o*l - 24*l**5 - 96*l**3 + 9*l**5 + 24*l**4 + 8*l**5 + 6*l**5 + 104*l**2 = 0. What is l?
-9, 0, 1
Let l(o) = -9*o**3 - 204*o**2 + 103*o + 410. Let q(n) = -8*n**3 - 203*n**2 + 115*n + 408. Let a(v) = -7*l(v) + 8*q(v). Factor a(s).
-(s - 2)*(s + 1)*(s + 197)
Let i = 19595 + -19595. Find w, given that 0*w**2 - 4/5*w**5 - 4/5*w**3 + 0*w + 8/5*w**4 + i = 0.
0, 1
Let v = 6196/7 - 123899/140. Let b(y) be the second derivative of 1/2*y**3 + 17*y + 1/4*y**4 + 0 - v*y**5 - 3/2*y**2. Factor b(l).
-3*(l - 1)**2*(l + 1)
Factor -520200/11 - 2040/11*o - 2/11*o**2.
-2*(o + 510)**2/11
Suppose -418 - 1652 = -15*y. Let h = y - 138. What is r in -1/7*r**4 + h - 1/7*r - 3/7*r**2 - 3/7*r**3 = 0?
-1, 0
Let i = -1066132 + 4264531/4. Factor 3/4*w**3 + 9/4*w - 9/4*w**2 - i.
3*(w - 1)**3/4
Factor 0 + 4*o + 1/2*o**4 + 6*o**2 + 3*o**3.
o*(o + 2)**3/2
Let c = 95 + -83. Suppose 43 = c*j + 7. Factor 5*h**4 + 10 - 5*h**j + 12*h**2 - 27*h**2 + 10*h - 5*h.
5*(h - 2)*(h - 1)*(h + 1)**2
Let l = -45 - -38. Let d = -3 - l. Determine p so that 4*p**5 - 2 - 5*p**d - 5*p + p**2 + 12*p - 11*p**3 + 6*p**2 = 0.
-1, 1/4, 1, 2
Suppose -8 = 37*g - 41*g. Factor -1780 - 484*t**2 + 966*t**2 + 628 - 484*t**g + 96*t.
-2*(t - 24)**2
Find p, given that 234080*p + 4/3*p**3 - 3356/3*p**2 + 235200 = 0.
-1, 420
Let x = 66328079891/3601 - 18419350. Let y = 1/277 + x. Suppose -y*z**2 + 4/13*z - 2/13 = 0. What is z?
1
Let w(f) be the third derivative of f**6/40 + 11*f**5/4 + 56*f**4 - 4608*f**3 - f**2 - 1200. Factor w(u).
3*(u - 9)*(u + 32)**2
Suppose -3*f - 64 = f. Let r = f - -18. Find s, given that -s**r - s**4 - 7*s - 2*s**3 + 7*s = 0.
-1, 0
Suppose 0 = -5*n - 2*n + 910. Suppose 899 + 652 - n*p + p**2 + 1002 + 1672 = 0. What is p?
65
Let u(l) = l**2 - 306*l - 1007. Let v(t) = -2*t**2 + 459*t + 1507. Let y(i) = -7*u(i) - 5*v(i). Factor y(f).
3*(f - 54)*(f + 3)
Let x be (7/90)/7*((-8)/(-8) + 2). Let h(z) be the third derivative of 0 - 1/4*z**4 + 0*z - 2/3*z**3 + 15*z**2 - x*z**5. Factor h(g).
-2*(g + 1)*(g + 2)
Determine k, given that 0 - 3968/11*k**2 - 4/11*k**4 - 254/11*k**3 + 2048/11*k = 0.
-32, 0, 1/2
Let y be (-3)/(-2) - (-3)/6. Factor -179*u**y + 48*u - 33*u**3 + 51*u**2 + 125*u**3 - 12*u**4.
-4*u*(u - 6)*(u - 1)*(3*u - 2)
Suppose 0 = 3*c + 5*d - 14, 1 = 4*d - 3. Solve 20 - 7*o**3 - 42*o + 29*o**3 + 24*o**2 - 12*o**c - 12*o**3 = 0 for o.
1, 10
Let v = -5279/8 + 660. Let t(k) be the third derivative of 1/60*k**5 - 33*k**2 + 0*k - v*k**4 + 0 + 1/3*k**3. Factor t(a).
(a - 2)*(a - 1)
Let h be 19/140 + 381/1778. Let z(n) be the second derivative of -h*n**4 + 0*n**2 - 12*n - 3/20*n**5 + 0 - 3/10*n**3 - 1/50*n**6. Factor z(i).
-3*i*(i + 1)**2*(i + 3)/5
Let m be ((11 - 3) + -10)*(-18)/(-4). Let t be 3/m - 420/(-72). Determine q so that -15/2*q**3 + 13/2*q**5 - t*q**2 + 0 + q + 11/2*q**4 = 0.
-1, 0, 2/13, 1
Let f(c) = -4*c**2 + 33*c - 3. Suppose -34*l + 33*l + 8 = 0. Let q(a) = -12*a**2 + 100*a - 8. Let g(n) = l*f(n) - 3*q(n). Factor g(j).
4*j*(j - 9)
Let 40/9*j**3 - 74/9*j**2 + 4*j - 2/9*j**4 + 0 = 0. Calculate j.
0, 1, 18
Let i(h) be the third derivative of -1/5*h**4 + 0*h + 0*h**3 - 7*h**2 + 0 + 1/100*h**5. Let i(s) = 0. Calculate s.
0, 8
Let s(a) = -85*a**2 + 885*a + 4760. Let g(o) = 5*o**2 - 52*o - 280. Let v(h) = -35*g(h) - 2*s(h). Factor v(z).
-5*(z - 14)*(z + 4)
Determine f, given that -f + 0*f**2 + 2/3 + 1/3*f**3 = 0.
-2, 1
Let g = -1751974/9 - -194664. Solve -34/9*x - 14/9*x**3 + g*x**4 + 34/9*x**2 + 4/3 = 0.
1, 2, 3
Let c(f) = -84*f**2 - 200*f + 391. Let v(p) = -303*p**2 - 699*p + 1368. Let j(k) = -18*c(k) + 5*v(k). Solve j(o) = 0 for o.
2, 33
Suppose -89*d = -97*d + 2696. Factor -480*k - d*k**2 + 13924 + 8*k + 341*k**2.
4*(k - 59)**2
Let s(n) be the third derivative of -37/60*n**6 + 12*n**5 + 0 + 228*n**2 + 1/105*n**7 - 27*n**4 + 0*n + 0*n**3. Factor s(u).
2*u*(u - 18)**2*(u - 1)
Let d(p) be the first derivative of -p**3 + 108*p - 3262. Factor d(z).
-3*(z - 6)*(z + 6)
Let o(x) be the first derivative of -3*x**4/20 + 19*x**3/5 - 156*x**2/5 + 84*x - 458. Factor o(b).
-3*(b - 10)*(b - 7)*(b - 2)/5
Let o = -6997 - -34986/5. Let m(r) be the first derivative of 1/4*r**4 + 1/24*r**6 - 16 + o*r**5 - 1/2*r - 5/8*r**2 - 1/6*r**3. Determine g so that m(g) = 0.
-2, -1, 1
Let n(p) = p**2 + 9*p - 12. Let z be n(-10). Let s be (-2 - z)*3/18*6. Factor 1/8*v + 1/4*v**2 + s + 1/8*v**3.
v*(v + 1)**2/8
Let o(v) be the third derivative of v**7/210 - 23*v**6/600 - 101*v**5/300 + 19*v**4/24 + 28*v**3/5 + 59*v**2 - 2*v. Determine i so that o(i) = 0.
-3, -1, 8/5, 7
Determine j so that -1779*j - 184*j**2 + 1959*j + 7*j**3 - 3*j**3 = 0.
0, 1, 45
Let y be 1/(8/(-56)) + 13. Let -3*s**3 - 47*s - 9*s**2 + 47*s + y*s**3 = 0. Calculate s.
0, 3
Let l(o) = 3*o + 40. Let y(r) = -16*r - 92. Let v be y(-5). Let h be l(v). Factor 4/9*w**h + 2/3*w**2 - 10/9*w**3 + 2/9*w - 2/9.
2*(w - 1)**3*(2*w + 1)/9
Let j(y) be the third derivative of y**6/360 - 23*y**5/180 + 7*y**4/9 + 490*y**3/9 - 138*y**2. Factor j(p).
(p - 14)**2*(p + 5)/3
Let y = -5357 + 5357. Let r(m) be the third derivative of 1/360*m**6 + y*m**3 - 8*m**2 - 1/72*m**4 + 0 + 0*m + 0*m**5. Let r(g) = 0. What is g?
-1, 0, 1
Let r(h) be the third derivative of 2*h**7/105 - 449*h**6/15 + 896*h**5/5 - 1343*h**4/3 + 1790*h**3/3 - 13614*h**2. What is p in r(p) = 0?
1, 895
Let h(f) be the third derivative of f**8/504 + f**7/315 - f**6/180 - f**5/90 - 2*f**2 + 1138*f. Factor h(p).
2*p**2*(p - 1)*(p + 1)**2/3
Let r(x) be the first derivative of 361*x**5/360 - 19*x**4/12 + x**3 + 59*x**2/2 - 55. Let n(f) be the second derivative of r(f). Factor n(q).
(19*q - 6)**2/6
Let f be (-2)/(-4) - 303/(-6). Find k such that 55*k**4 - 16*k**2 + f*k**4 - 102*k**4 = 0.
-2, 0, 2
Let m(t) be the first derivative of -3*t**5/100 - 11*t**4/60 - t**3/5 - 24*t + 75. Let q(s) be the first derivative of m(s). Let q(o) = 0. Calculate o.
-3, -2/3, 0
Let w be 42/(-9) + 5 + (-1000)/30. Let x = w + 267/8. Factor 9/8*g**3 + x*g**2 - 9/8*g + 3/8*g**4 - 3/4.
3*(g - 1)*(g + 1)**2*(g + 2)/8
Let p(j) = -4*j**2 - j + 2. Let c(b) = 52*b**2 + 148*b + 1096. Let y(o) = c(o) + 12*p(o). Determine k, given that y(k) = 0.
-20, -14
Let a = -440/13 - -8342/195. Determine w, given that -8/5*w - 4/5*w**4 + 8/3 - 46/5*w**2 + a*w**3 = 0.
-1/2, 2/3, 1, 10
Let w(p) be the second derivative of p**7/126 - 17*p**6/90 - 44*p**5/15 + 560*p**4/9 + 7168*p**3/9 - 8192*p**2/3 - 1593*p + 2. Find o, given that w(o) = 0.
-8, 1, 16
Let x be 0/(8 + 2) - (-16)/(-33). Let g = 376/231 + x. Factor 2/7*n**3 + 0*n**2 + 0 - g*n.
2*n*(n - 2)*(n + 2)/7
Let d(m) be the second derivative of m**7/189 + 227*m**6/135 - 229*m**5/30 + 689*m**4/54 - 230*m**3/27 - 2*m + 188. Factor d(r).
2*r*(r - 1)**3*(r + 230)/9
Suppose 74 = 2*n - 2*r, 4*n - 3*r - 152 = 2*r. Let s = n - 18. Factor s*g + 0*g - 10*g - 25*g**2.
-5*g*(5*g - 1)
Let y = -5779739763/247 + 23399689. Let k = y + 900/13. Factor 20/19*q**3 + 8/19 + 0*q**4 + 30/19*q - 2/19*q**5 + k*q**2.
-2*(q - 4)*(q + 1)**4/19
Factor 338*z + 73/4*z**2 + 1/4*z**3 + 320.
(z + 1)*(z + 32)*(z + 40)/4
Let p = -33/2065 - -2164/6195. Suppose -a = -0*a - 2. Find d such that -25/3 + 10/3*d - p*d**a = 0.
5
Solve -10*a**3 + 5/2*a**5 + 11/3*a**4 - 4/3 - 7/3*a**2 + 15/2*a = 0 for a.
-8/3, -1, 1/5, 1
Factor 0 - 20/9*k**3 - 2/9*k**2 + 0*k.
-2*k**2*(10*k + 1)/9
Let a be (-7 - (-93)/15)/(1/(-395)). Let c = 1582/5 - a. Suppose 8/5*j + 6/5*j**4 - 28/5*j**2 +