-3*q*(q - 1)**2/7
Let p(d) be the second derivative of -d**6/120 + d**5/20 - d**4/24 - d**3/6 + 3*d**2/8 - 94*d - 2. Determine c so that p(c) = 0.
-1, 1, 3
Let x = 1478355 + -1478355. Solve 2/7*s - 2/7*s**2 + x = 0.
0, 1
Find m, given that 2510/21*m + 2/7*m**2 - 1676/21 = 0.
-419, 2/3
Let h(y) = y - 3. Let k be h(6). Suppose -2*o**2 + 2*o + 2*o**4 + 10*o**3 - 18*o**k + 6*o**3 = 0. Calculate o.
-1, 0, 1
Let z be -2 + -16 + 15 + -35 + 40. Factor 8/11*r**z + 0*r + 2/11*r**3 + 0.
2*r**2*(r + 4)/11
Let d = 15341 + -15329. Let h(u) be the first derivative of u**3 - 6*u**2 - d*u - 45 + 3/4*u**4. Factor h(n).
3*(n - 2)*(n + 1)*(n + 2)
Let q = 10764 - 10759. Suppose 0*i**3 - 4/3*i**2 + 2/3*i**q - 2/3*i + 4/3*i**4 + 0 = 0. What is i?
-1, 0, 1
Let m(s) be the third derivative of 1/20*s**5 + 0 + 41*s**2 + 15*s**3 + 0*s + 11/8*s**4. Factor m(z).
3*(z + 5)*(z + 6)
Let n = -107 - -101. Let g be (n/5)/((-2)/10). What is h in 3*h**4 - h**4 - 6*h**4 - g*h**3 + h**4 = 0?
-2, 0
Let x = -50 - -53. Suppose -x*q - 14 = -2*u, -4*u - 3*q + 28 = -8*q. Factor u*o**4 - 134*o**2 - 25*o + 2*o**4 + 5*o**3 - 4*o**4 - 10 + 119*o**2.
5*(o - 2)*(o + 1)**3
Suppose 13797*p**2 - 14265*p**2 - p**4 + 930*p + 4*p**4 + 1425 + 30*p**3 = 0. Calculate p.
-19, -1, 5
Let z(d) be the first derivative of 1458*d**2 + 217/10*d**5 + 0*d + 1971/4*d**4 + 4050*d**3 + 1/3*d**6 + 31. Factor z(a).
a*(a + 18)**3*(4*a + 1)/2
Let d(o) = 9*o**2 + 7*o - 2. Let u be d(-1). Suppose 0 = 3*m + 5*s - 16, u = -11*s + 6*s + 10. Find h, given that 6/5 + 2/5*h**m + 2/5*h**3 - 2*h = 0.
-3, 1
Let z be (-2)/10 - 38657/(-105710). Let t = 1/62 + z. Determine i, given that t*i + 2/11*i**2 - 12/11 = 0.
-3, 2
Let u(p) be the second derivative of 11*p + 2/3*p**3 + 1/12*p**4 - 4 + 2*p**2. What is s in u(s) = 0?
-2
Let s be ((-49)/(-224))/(7/2). Let j(y) be the first derivative of s*y**4 - 1/8*y**2 - 3/2*y - 1/20*y**5 + 20 + 7/12*y**3. What is v in j(v) = 0?
-2, -1, 1, 3
Let a(h) be the third derivative of -1/4*h**5 + 1/6*h**6 + 0*h + 10*h**2 + 0*h**3 + 0 - 5/24*h**4. Factor a(z).
5*z*(z - 1)*(4*z + 1)
Factor -5*y**2 + 1347*y + 1385 + 12*y + 21*y.
-5*(y - 277)*(y + 1)
Suppose -4*j - 3*k = 52, 1792*j - 4*k = 1795*j + 74. Factor -3/5*w + 1/5*w**j + 0 - 1/5*w**4 + 3/5*w**3.
-w*(w - 3)*(w - 1)*(w + 1)/5
Let u(r) be the first derivative of 5*r**4/4 + 12040*r**3/3 + 3624040*r**2 + 5202. Suppose u(n) = 0. Calculate n.
-1204, 0
Let x be -26 + (2*-15)/(-6). Let b be (x - -20)*(-8)/7. Factor 0 + 4/7*z**2 + b*z.
4*z*(z + 2)/7
Let b(a) = 4*a - 2 - 2*a**2 - 11 + a**2 + 5. Let t(r) = -2*r**2 + 7*r - 16. Let y(s) = -5*b(s) + 2*t(s). Factor y(q).
(q - 4)*(q - 2)
Let z(a) be the first derivative of 0*a - 4/5*a**3 - 7/5*a**2 - 62 + 1/10*a**4. Factor z(o).
2*o*(o - 7)*(o + 1)/5
Find s, given that -1275*s**2 - 381739*s**3 - 141*s - 1137*s + 381742*s**3 = 0.
-1, 0, 426
Let o(d) be the first derivative of -22*d**3/21 - 174*d**2/7 - 1040*d/7 - 8609. Factor o(j).
-2*(j + 4)*(11*j + 130)/7
Let c(n) be the third derivative of n**8/4032 - 5*n**7/504 + 25*n**6/144 - 16*n**5/15 - 131*n**2. Let o(b) be the third derivative of c(b). Factor o(x).
5*(x - 5)**2
Let b(j) be the first derivative of 2*j**5/25 + 3*j**4 + 424*j**3/15 + 168*j**2/5 - 576*j + 878. Let b(z) = 0. What is z?
-20, -6, 2
Let c(k) be the third derivative of k**7/630 + k**6/72 - k**5/5 - 3*k**4/2 + 24*k**3 + 2*k**2 + 3051*k. What is f in c(f) = 0?
-6, 3, 4
Let x = 2/16753 - -50245/117271. Let g(l) be the first derivative of -5/28*l**4 + 11 - 1/35*l**5 - 2/7*l - x*l**3 - 1/2*l**2. Factor g(b).
-(b + 1)**3*(b + 2)/7
Let n = -47757/23 + 2076. Let y = n + 59/92. Factor -3/8*j**2 + 1/8*j**4 + 1/2*j + 1/2 - y*j**3.
(j - 2)**2*(j + 1)**2/8
Let v(o) be the first derivative of 338*o**3/21 - 390*o**2/7 + 450*o/7 - 862. Factor v(b).
2*(13*b - 15)**2/7
Let m(r) be the first derivative of r**4/3 + 2648*r**3/3 - 2650*r**2 + 7952*r/3 + 12015. Let m(d) = 0. Calculate d.
-1988, 1
Let p(a) = -1812*a + 1815. Let x be p(1). Let z(w) be the first derivative of -49 + 3/2*w**2 - w**x + 6*w. Suppose z(q) = 0. What is q?
-1, 2
Let n(o) be the first derivative of -2*o + 37/10*o**2 + 38/15*o**3 - 160 - 9/20*o**4. Solve n(g) = 0.
-1, 2/9, 5
Let g(y) be the first derivative of 2*y**5/5 + 2*y**4 - 2*y**3/3 - 4*y**2 - 1196. Factor g(x).
2*x*(x - 1)*(x + 1)*(x + 4)
Suppose 5*v - 18 = v - 2*x, -5*x = -3*v - 6. Factor 6*s**v - s**4 - 4*s - 15*s**4 + 2*s**3 + 2*s**2 + 10*s**4.
-2*s*(s - 1)**2*(3*s + 2)
Let d(b) = -38*b**2 - 6236*b - 653. Let p be d(-164). Find y, given that 4/5*y**p - 2/5*y - 7/5*y**2 + 0 = 0.
-1/4, 0, 2
Let t(b) be the second derivative of -2*b**6/15 - 23*b**5/5 + 55*b**4/6 + 12*b**3 - 38*b**2 - 2*b - 11. Let r(c) be the first derivative of t(c). Factor r(f).
-4*(f - 1)*(f + 18)*(4*f + 1)
Let p(q) = -7*q**2 - 50*q - 44. Let x be p(-6). Let w(a) be the third derivative of 0*a + 5/48*a**x + 0*a**3 + 0 + 1/120*a**5 - 9*a**2. Factor w(c).
c*(c + 5)/2
Let b be 10 + 2 + (-1 - 4/(-4)). Determine r so that r - 18 - 3*r + b*r**2 - 8*r**3 + 5*r**3 - r = 0.
-1, 2, 3
Factor -712/9 + 116/3*w + 4/9*w**2.
4*(w - 2)*(w + 89)/9
Solve -2/17*p**2 - 608/17*p - 46208/17 = 0.
-152
Let d(s) = 2*s**2 + 27*s - 29. Let q be d(-15). Solve 4*o**3 + 3*o**3 - 5*o**3 - 2*o + 14*o - q*o**2 + o**4 + o**3 = 0 for o.
-6, 0, 1, 2
Let j(u) be the second derivative of -u**6/30 + 149*u**5/80 + 215*u**4/24 + 397*u**3/24 + 15*u**2 - 9*u - 31. Determine a so that j(a) = 0.
-1, -3/4, 40
Let j be (2940/70)/((-6)/4). Let h(d) = -5*d - 140. Let v be h(j). Solve v + 2/17*r - 2/17*r**2 = 0.
0, 1
Let t = -717 - -882. Suppose -54*h + t = 3. Determine j so that -1/2*j**h + 0 - j + 3/2*j**2 = 0.
0, 1, 2
Let l(x) be the second derivative of 169*x**4/42 + 260*x**3/7 + 900*x**2/7 - 1336*x + 2. Factor l(b).
2*(13*b + 30)**2/7
Let i(l) be the first derivative of 2*l**6/5 - 9*l**5/20 - 5*l**4/4 + 3*l**3/2 + 3*l**2/2 + 93*l + 28. Let w(v) be the first derivative of i(v). Factor w(j).
3*(j - 1)**2*(j + 1)*(4*j + 1)
Let u = -388179 - -388183. Suppose 10/9*l**2 + 1/9*l - 2/9 + 4/9*l**3 - 8/9*l**u - 5/9*l**5 = 0. What is l?
-1, 2/5, 1
Suppose 41 = q + 21. Suppose q*f - 17*f = 9. Factor 3/4*g**f + 0 + g + 13/4*g**2.
g*(g + 4)*(3*g + 1)/4
Let i = 381/6359 + 176909/19077. What is w in 20/3*w**2 + 8/3 + i*w = 0?
-1, -2/5
Let g be (-3)/(-9) - (-4)/(-12). Let y(q) be the first derivative of g*q**3 + 1/15*q**6 - 13 - 2/75*q**5 + 0*q**2 + 0*q + 0*q**4. Solve y(f) = 0.
0, 1/3
Let i(b) be the third derivative of -b**7/105 + 13*b**6/15 - 102*b**5/5 - 7*b**2 - 366*b. Factor i(f).
-2*f**2*(f - 34)*(f - 18)
Suppose 0*z = -23*z - 44114. Let s = z - -28772/15. Suppose 0 + 2/15*f - 4/15*f**2 + s*f**3 = 0. What is f?
0, 1
Let i = -1055 + 2138. Let t = 1086 - i. Solve 12/5*g**4 - 4/15 + 4/15*g**2 - 6/5*g + 26/5*g**t = 0 for g.
-2, -1/3, 1/2
Let r(s) be the first derivative of -5*s**4/12 - s**3 + 54*s - 225. Let d(q) be the first derivative of r(q). Factor d(y).
-y*(5*y + 6)
Factor -z**2 + z**2 + 6*z**2 - 448 + 2*z**2 - 50*z - 6*z**2.
2*(z - 32)*(z + 7)
Let w be 7 + 180/18 + 11. Let o(b) be the third derivative of 1/3*b**4 + b**3 + 0 + 1/30*b**5 - w*b**2 + 0*b. Factor o(t).
2*(t + 1)*(t + 3)
Find b such that 304/5 - 1212/5*b + 516/5*b**2 + 7/5*b**3 = 0.
-76, 2/7, 2
Let l be (-4)/5*15/(-6). Let d(f) = f**3 - 9*f**2 + 2*f + 2. Let t be d(9). Let 10*u**2 + 4*u**2 + 2*u**l + 8 + t*u + 5*u**3 - u**3 = 0. What is u?
-2, -1
Suppose 0 = 33*g + 22*g - 92180. Let f = g - 1672. Determine l so that 0 - 6/7*l**5 - 8/7*l**2 + 24/7*l**3 + 0*l + 2/7*l**f = 0.
-2, 0, 1/3, 2
Let z(i) = 12820*i - 12818. Let x be z(1). Factor -200/9 - 2/9*g**4 + 44/9*g**3 - 94/3*g**x + 440/9*g.
-2*(g - 10)**2*(g - 1)**2/9
Factor -82*g - 2/3*g**2 + 0.
-2*g*(g + 123)/3
Let s(a) be the third derivative of 5/3*a**3 + 0*a + 106*a**2 + 0 + 1/60*a**5 + 7/24*a**4. Find f such that s(f) = 0.
-5, -2
Let i(z) be the third derivative of 8/9*z**3 + 2*z**2 - 11/18*z**4 - 1/63*z**7 - 1/144*z**8 + 4/45*z**5 + 0 + 29/360*z**6 + 57*z. Solve i(k) = 0.
-2, 4/7, 1
Let b = -1942798361280 - -140551747450505654/72345. Let g = 2/14469 + b. Suppose 1072/5*m**3 - 128*m**4 - g*m + 84/5*m**5 + 128*m**2 + 0 = 0. What is m?
-2/3, 0, 2/7, 4
Let u(k) be the first derivative of -2*k**5/5 - 17*k**4 + 24*k**3 + 34*k**2 - 70*k + 1337. Factor u(h).
-2*(h -