m**4 + 0 + 10/3*m**3 - 2*m**t. Determine x, given that p(x) = 0.
2/9, 2
Let x = 27066 - 27043. Let c(s) be the third derivative of -x*s**2 - 1/90*s**5 + 0 + 1/945*s**7 + 0*s + 1/108*s**4 - 1/540*s**6 + 2/27*s**3. Factor c(m).
2*(m - 2)*(m - 1)*(m + 1)**2/9
Solve 25280/3*n + 1/3*n**3 + 317/3*n**2 + 24964/3 = 0.
-158, -1
Let n(i) be the third derivative of -529*i**6/720 + 23*i**5/10 - 3*i**4 - 38*i**3 - 22*i**2 - 3. Let t(a) be the first derivative of n(a). Factor t(q).
-(23*q - 12)**2/2
Suppose 340*j - 2001 = 253*j. Let l(n) be the second derivative of -j*n + 0*n**3 + 0 + 0*n**2 + 1/2*n**4 + 9/4*n**5. Factor l(f).
3*f**2*(15*f + 2)
Let p = 280 - -2058. Let l be p/56 - 2/(-8). Factor i**3 + 21 - 3*i + 2*i + 19 + 2*i**2 - l.
(i - 1)*(i + 1)*(i + 2)
Let i(n) be the first derivative of 0*n + 12*n**2 - 129 + 36/5*n**5 + 140/3*n**3 + 38*n**4. Solve i(a) = 0.
-3, -1, -2/9, 0
Let s(o) be the third derivative of -o**5/120 - 1763*o**4/24 - 3108169*o**3/12 + 29*o**2 + 17. Factor s(d).
-(d + 1763)**2/2
Let p(x) be the third derivative of -30*x**2 + 0 - 20*x**3 + 0*x + 5/6*x**4 - 1/72*x**5. Suppose p(n) = 0. What is n?
12
Suppose 2*w = -2*u - 2, 5*w + 33 = -u + 3*u. Let j be 22 + -15 - (-2)/(u/(-10)). Suppose -2*n**j - n + 0 + 5/4*n**3 = 0. What is n?
-2/5, 0, 2
Let r(j) = -25*j**2 + 46*j - 88. Let u(w) = 54*w**2 - 93*w + 178. Let k(h) = 13*r(h) + 6*u(h). Let k(t) = 0. Calculate t.
2, 38
Suppose 293617*f = 293867*f - 750. Solve 2/7*d**4 + 18/7*d**2 - 20/7*d**f + 0*d + 0 = 0 for d.
0, 1, 9
Let n = 1087/764 + 158/191. Factor n*t**2 + 0 + 0*t + 3/4*t**3.
3*t**2*(t + 3)/4
Let f = 263 - -92. Let b = f - 350. Determine k so that -28/13*k**4 - 80/13*k**b - 4/13*k + 54/13*k**3 + 0 - 2/13*k**2 = 0.
-1, -1/4, 0, 2/5, 1/2
Let s(x) be the third derivative of x**7/840 + 27*x**6/80 - 2*x**2 - x + 474. Determine g so that s(g) = 0.
-162, 0
Let b(y) be the second derivative of y**6/180 - 9*y**5/20 + 15*y**4 - 525*y**3/2 + 10125*y**2/4 - 15*y + 2. Factor b(f).
(f - 15)**3*(f - 9)/6
Let x be 154/50 + (-36)/450. Let -476*c**2 - x*c + 5 - 3 + 477*c**2 = 0. What is c?
1, 2
Let b = 1251 + -1251. Let c(r) be the third derivative of b*r**4 + 0*r**3 + 1/2688*r**8 + 0*r**7 - 2*r**2 + 0*r + 0 - 1/960*r**6 + 0*r**5. Solve c(q) = 0 for q.
-1, 0, 1
Suppose -336*j + 17*j - 15*j = -1002. Factor 2/3*y - 5/3*y**2 - 1/3*y**4 + 4/3*y**j + 0.
-y*(y - 2)*(y - 1)**2/3
Let k be (-152492)/(-3) - (-10 + (-96)/(-9)). Find o such that 40*o + k*o**2 - 110*o - 50855*o**2 + 5*o**3 = 0.
-2, 0, 7
Factor 11*m + 6*m**3 + 60 + 15*m + 708*m**2 - 800*m**2.
2*(m - 15)*(m - 1)*(3*m + 2)
Let x = 36 - 27. Suppose -15 + x = -3*w. Factor -2*m + 0*m - 3*m**2 - 3*m + w*m.
-3*m*(m + 1)
Let n(o) be the second derivative of 0*o**3 + 2/35*o**6 + 0*o**2 + 0*o**4 - 24*o + 1/98*o**7 + 3/35*o**5 - 1. Factor n(f).
3*f**3*(f + 2)**2/7
Let m(t) = 5*t + 2. Let p be m(2). Let r be (0 + -10)*(-6)/p. Factor r*d**4 - d + 5 - 4*d**4 - 6 - 2*d**3 + 3*d.
(d - 1)**3*(d + 1)
Let l(r) be the second derivative of -r**4/3 + 550*r**3/3 - 548*r**2 + 1410*r. Solve l(u) = 0 for u.
1, 274
Suppose -148 = -8*y - 66*y. Let l(x) be the first derivative of -8/5*x + 0*x**3 - 1/5*x**4 + y + 6/5*x**2. Factor l(i).
-4*(i - 1)**2*(i + 2)/5
Let c(l) = 8*l**2 + 6*l - 28. Let z(x) = -x**2 + x + 2. Suppose n = -r, n + 29 - 11 = 5*r. Let y(u) = n*c(u) - 21*z(u). Factor y(v).
-3*(v - 1)*(v + 14)
Let n = -452 - -534. Let o = -242/3 + n. Suppose o - 8*m - 19/3*m**3 + 41/3*m**2 + 7/3*m**5 - 3*m**4 = 0. What is m?
-2, 2/7, 1
Let v = -53 - -53. Suppose -5*p - 9 = -2*c - 37, -3*p - 5*c + 23 = v. Solve 7 - 2*b**3 - 9*b - 7 - p*b**2 + 5*b**3 = 0 for b.
-1, 0, 3
Let d(t) = -2*t**2 + 1. Let g(m) = 4*m**4 + 45*m**3 + 105*m**2 + 55*m. Let p be (1*-4)/(18/18). Let x(q) = p*g(q) - 36*d(q). Find k such that x(k) = 0.
-9, -1, -1/4
Let s(c) = 2*c - 16. Let y(w) = -3*w - 14. Let o be y(-8). Let v be s(o). Factor -6*p**4 + v*p**4 - p**4 - p**4.
-4*p**4
Let s = -96941 - -96941. Solve 2/5*m**2 + 0*m - 9/5*m**4 + s + 7/5*m**3 = 0.
-2/9, 0, 1
Suppose 5*t - 77 = -37. Let i be (6/t)/(13/52). What is s in i*s**4 + 95 - 3*s**2 - 6*s**5 - 3*s - 95 + 9*s**3 = 0?
-1, -1/2, 0, 1
Let i(a) = a**2 + 6*a + 12. Let l be i(-6). Suppose -l = -z - 10. Factor -5*x**2 - x + 0*x**2 + 6*x**z.
x*(x - 1)
Let s(l) be the second derivative of l**7/14 + 22*l**6/5 + 468*l**5/5 + 1215*l**4/2 - 7425*l**3/2 - 30375*l**2 + 209*l - 2. Determine j, given that s(j) = 0.
-15, -2, 3
Let y = 118515 + -355543/3. Factor 1/3*n**4 - 1/3 - 2/3*n**3 + y*n + 0*n**2.
(n - 1)**3*(n + 1)/3
Let n be ((-1008)/140 + 7)/((-6)/60). Find z such that -3/11 + 1/11*z**n - 2/11*z = 0.
-1, 3
Suppose -264 = 5*q + 6*q. Let m = q + 26. Suppose 6*b**2 + 192 + 10*b + 38*b - 3*b**m = 0. Calculate b.
-8
Let z be 15*3/10*40/4. Suppose 28*p = z*p - 34. Factor 5/3*q**p + 5/2*q**3 + 0*q + 5/6*q**4 + 0.
5*q**2*(q + 1)*(q + 2)/6
Let 6677*q**5 - 12*q**2 + 0*q**4 + 34*q**3 + 8*q**4 - 6683*q**5 = 0. Calculate q.
-2, 0, 1/3, 3
Factor 3/8*g**2 + 135/4 + 69/8*g.
3*(g + 5)*(g + 18)/8
Suppose -9 = -4*a + 2*q + 9, -a = q + 3. Suppose 4*f + 7*f = a*f. Factor -2/15*u**2 - 8/15*u + f.
-2*u*(u + 4)/15
Let n(o) = -443*o - 50. Let l be n(-6). Determine p so that 2598*p - l*p + 0*p**2 - 5*p**2 = 0.
-2, 0
Let y be (-5)/(-10 + 15)*-4. Let j be 15 + (-3353)/231 - y/(-22). Factor -j*g - 4/7 - 2/21*g**2.
-2*(g + 1)*(g + 6)/21
Let y = -213 - -218. Let t(q) = -q**2 - 7*q - 4. Let w be t(-6). Factor 2*n**3 + n**2 + n**5 + 4*n**4 + 0*n**2 - 58*n - y*n**w + 55*n.
n*(n - 1)*(n + 1)**2*(n + 3)
Solve 4/17*n - 6*n**5 - 106/17*n**4 + 106/17*n**2 + 98/17*n**3 + 0 = 0 for n.
-1, -2/51, 0, 1
Determine v so that -234/7*v**3 - 46/7*v**4 + 36/7 - 158/7*v**2 + 402/7*v = 0.
-3, -2/23, 1
Let g(t) = 3*t + 15. Let l be g(0). Suppose 0 = -10*d + l*d - 30. Factor -3*q**2 + 3*q + q**3 - d*q + 2*q + 3.
(q - 3)*(q - 1)*(q + 1)
Suppose -4*l = 2*o - 12, -o = -l + 4*l - 6. Suppose 0 = 3*j - o. Determine i, given that -3*i**2 + 12*i**3 - 4*i**4 + 0*i**2 - 5*i**j = 0.
0, 1, 2
Let i(m) be the first derivative of -m**3/6 - 3*m**2 - 35*m/2 + 1877. Find s such that i(s) = 0.
-7, -5
Let w(l) = -7*l**3 - 4*l**2 + 2*l + 4. Let i(m) = 7*m - 7*m - m**3. Suppose 16 = -29*v + 21*v. Let j(x) = v*w(x) + 10*i(x). What is r in j(r) = 0?
-2, -1, 1
Let m(l) = -5*l**2 - l. Let k = 181 - 186. Let s(u) = 12*u**2 + 3*u + 1. Let j(p) = k*m(p) - 2*s(p). Solve j(z) = 0 for z.
-1, 2
Let h be 0 + ((-62)/(-217) - 25115/21). Let d = h - -1196. Factor 1/6*k**2 + 1/6*k**4 - 1/2*k**3 + 1/2*k - d.
(k - 2)*(k - 1)**2*(k + 1)/6
Suppose -9*h**2 + 3*h + 21*h**2 - 4*h**4 - 100*h**2 - 3*h + 52*h**3 = 0. Calculate h.
0, 2, 11
Suppose 11*u = 23 + 43. Suppose 7*k - 5*k - u = 0. What is r in -25*r**k - 16 + 30*r**2 - 2*r**4 - 3*r**4 - 75*r**2 + 6 - 35*r = 0?
-2, -1
Let i(c) be the first derivative of -4*c**5/5 + 23*c**4 - 376*c**3/3 + 144*c**2 - 1754. Determine s so that i(s) = 0.
0, 1, 4, 18
Let f be 69 - (57360/680 + -17). Solve -24/17 - 22/17*n + f*n**2 - 2/17*n**5 - 4/17*n**4 + 24/17*n**3 = 0.
-4, -1, 1, 3
Suppose 34*k = -3*k. Let d(p) be the third derivative of k*p**3 - 1/4*p**4 + 3/20*p**5 - 1/40*p**6 + 0 + 0*p + 11*p**2. Factor d(t).
-3*t*(t - 2)*(t - 1)
Let s(i) be the third derivative of i**5/390 + 5*i**4/52 + 44*i**3/39 - 8604*i**2. Suppose s(u) = 0. What is u?
-11, -4
Let j(x) = -12*x**2 + 19*x - 66. Let h(a) = -17*a**2 + 29*a - 104. Let i(l) = -7*h(l) + 10*j(l). Factor i(b).
-(b - 4)*(b + 17)
Suppose 54*d - 6*d - 1968 = 0. Factor d*c - 28*c**2 + 47*c**2 - 15*c - 74*c + 49*c**2.
4*c*(17*c - 12)
Let m be -3*(190/76 - 711/2). Let b = -1056 + m. Solve 62/13*x - 10/13 + 18/13*x**b - 102/13*x**2 = 0 for x.
1/3, 5
Let r be 39 - (-10)/((-170)/629). Suppose -2/9*z**r + 0 + 8/9*z = 0. What is z?
0, 4
Let o(z) be the third derivative of -z**5/15 + 575*z**4/6 - 1148*z**3/3 - 2*z**2 + 143*z - 3. Factor o(h).
-4*(h - 574)*(h - 1)
Let n(d) = 3*d**2 + 3*d - 1. Let x be n(1). Let p be (4/x)/((-28)/180*-3). Factor 0 - 3/7*w**2 - p*w.
-3*w*(w + 4)/7
Let t(u) be the second derivative of u**5/30 + 79*u**4/18 + 1672*u**3/9 + 1444*u**2 + 4*u - 66. Solve t(s) = 0.
-38, -3
Let t(g) = -g**3 + 114*g**2 - 401*g - 15693. Let x be t(109). Suppose 150/13*v**2 - 2/13*v**x - 3750/13*v + 31250/13 = 0. Calculate v.
25
Let l(p) be the second derivative of p**5 + 6