23 = -13. Factor 26*z**3 - 7*z + 9*z + 23*z**2 + 3*z**4 - 7*z**2 + 9*z**f.
2*z*(z + 1)**2*(6*z + 1)
Let d(c) = 72*c**2 - 48*c + 1. Let f(i) = -36*i**2 + 9*i + 7*i - i + 9*i. Suppose 11*u + 78 = 1. Let r(v) = u*f(v) - 4*d(v). Determine s so that r(s) = 0.
1/3
Let l(z) = -9*z**2 - z + 3. Let w be l(-2). Let d = -29 - w. Factor -4*s**2 - 17*s**3 + 5*s**4 + 4*s**d - 8*s**3.
5*s**3*(s - 5)
Let h be (-4)/8*0/7. Let f be h/95*(-2)/(-4). Factor -1/4*a**4 - 1/2*a**3 + f + 1/2*a + 1/4*a**2.
-a*(a - 1)*(a + 1)*(a + 2)/4
Let h(r) be the third derivative of -r**9/272160 + r**8/18144 - r**7/3780 - 17*r**5/30 + 4*r**2 - 4*r. Let c(j) be the third derivative of h(j). Factor c(m).
-2*m*(m - 3)*(m - 2)/9
Let i = 115639/140 + -826. Let h = i + 283/420. Factor -8/3*q + 8/3*q**2 + 0 - h*q**3.
-2*q*(q - 2)**2/3
Suppose 5*k + 5*a - 20 = 0, -45*a + 7 = 3*k - 47*a. Let 0*c + 12*c**2 - 8*c - 16 + 3622*c**3 - 2*c**4 - 3620*c**k = 0. What is c?
-2, -1, 2
What is j in 11 + 9/2*j - 13/2*j**2 = 0?
-1, 22/13
Let j(d) be the first derivative of -1/4*d + 1/12*d**3 + 0*d**2 - 23. Factor j(i).
(i - 1)*(i + 1)/4
Let k(r) = -3*r**4 + 32*r**3 + 285*r**2 - 3205*r + 2005. Let a(y) = -y**2 + y - 1. Let i(n) = 5*a(n) + k(n). What is g in i(g) = 0?
-10, 2/3, 10
Let x(q) be the third derivative of -q**5/160 + q**4 - 64*q**3 + 2*q**2 - 1184*q. Factor x(p).
-3*(p - 32)**2/8
Let v(g) be the first derivative of g + 1/3*g**3 + 3/2*g**2 + 15 - 3/4*g**4 - 2/5*g**5. Let v(s) = 0. Calculate s.
-1, -1/2, 1
Determine y, given that 94*y**2 + 0 + 1/4*y**3 + 8836*y = 0.
-188, 0
Suppose -39*w + 34*w - 45 = 0. Let z be (-1 - 0 - w) + (29 - 34). Factor -d**z + 0 + 0*d + 1/3*d**2 + d**4 - 1/3*d**5.
-d**2*(d - 1)**3/3
Suppose -296*t + 293*t = 1977. Let b = 8569/13 + t. What is q in -6/13*q**2 + b*q - 2/13*q**4 + 6/13*q**3 + 0 = 0?
0, 1
Let k be ((-2)/(-2) - (-13)/(-52)) + 165/132. Let 6/11*h**4 - 96/11*h**3 + 384/11*h**k + 0*h + 0 = 0. What is h?
0, 8
Let c(i) be the first derivative of -15*i**4/28 - 2*i**3 + 21*i**2/2 - 90*i/7 - 4990. Factor c(j).
-3*(j - 1)*(j + 5)*(5*j - 6)/7
Let m = -4811 - -14435/3. Let u(w) be the third derivative of 0*w - 1/5*w**5 + 12*w**2 + 1/105*w**7 - m*w**4 + 0*w**6 - w**3 + 0. Factor u(a).
2*(a - 3)*(a + 1)**3
Let v(p) = 64*p**3 + 172*p**2 - 180*p - 56. Let j(w) = -2*w**3 + 20*w - 5*w**3 + 49*w**2 - 68*w**2 + 6. Let o(i) = 28*j(i) + 3*v(i). Factor o(y).
-4*y*(y - 1)*(y + 5)
Let v = -267 + 269. Factor 5*l + 175 + v*l - 167 - 5*l - l**2.
-(l - 4)*(l + 2)
Let s be (72/(-9))/2 + 7. Let -2*i**s + 92*i - 154*i + 44 + 16*i**2 + 4*i**3 = 0. Calculate i.
-11, 1, 2
Let x(h) be the second derivative of h**4/48 - h**3/3 - 209*h**2/8 - 2*h - 14. Solve x(c) = 0.
-11, 19
Let b(r) = 13*r**3 - 55*r**2 - 27*r. Let w(s) = -17 - 215*s - 44 + 61 + 105*s**3 - 440*s**2. Let m(k) = 25*b(k) - 3*w(k). Determine x so that m(x) = 0.
-1/2, 0, 6
Let n(h) = -71*h + 1706. Let t be n(24). Let g = 23/6 + -10/3. Determine a so that g*a**t + 0*a - 1/2 = 0.
-1, 1
Let 8/5*n**5 - 422/5*n**3 - 138/5*n**4 + 8 - 42/5*n - 358/5*n**2 = 0. Calculate n.
-1, 1/4, 20
Suppose 52*a**4 + 0*a**2 - 304/3*a**3 + 0 - 2/3*a**5 + 0*a = 0. Calculate a.
0, 2, 76
Let u = -41/65 + 16/13. Let j be 11/4 + (-3)/(-12). Let 1/5 - 1/5*z**j - 3/5*z + u*z**2 = 0. Calculate z.
1
Suppose 125 = 3*b + 92. Suppose -b + 67 = 4*k. Factor 48 + 24*h**2 - 7*h**2 - k*h**2 + 24*h.
3*(h + 4)**2
Let u be ((-72)/126)/(120/(-990)). Factor 16/7*j - u*j**2 + 0 + 18/7*j**3 - 1/7*j**4.
-j*(j - 16)*(j - 1)**2/7
Let v(z) be the third derivative of -3*z**5/80 - 245*z**4/32 - 81*z**3/4 - 3*z**2 + 3*z - 78. Solve v(r) = 0.
-81, -2/3
Let j(x) = -652*x - 49. Let s be j(-5). Factor -3211*z + 4*z**2 - 8*z**3 + s*z.
-4*z**2*(2*z - 1)
Let q(h) = -4*h**3 - h**2 + 7*h + 2. Let n(d) = -2*d**3 - d**2 - d + 2. Let z(x) = -n(x) + q(x). Factor z(j).
-2*j*(j - 2)*(j + 2)
Factor 26052084/7*a**2 + 1292059160*a + 8/7*a**4 + 25006/7*a**3 - 2262732176/7.
2*(a + 1042)**3*(4*a - 1)/7
Let s be (-205)/5*(-3 - (-4)/2). Factor 9*w + 2*w**2 + 45 + s*w + 3*w**2.
5*(w + 1)*(w + 9)
Let u(d) be the first derivative of -65*d**3/27 - 457*d**2/18 - 14*d/9 - 2875. Find y such that u(y) = 0.
-7, -2/65
Let p(b) = 3*b**2 - 8*b + 9. Let v be p(1). Let x(s) be the first derivative of -8/15*s**3 + 4 - 4/5*s + s**2 + 1/10*s**v. Factor x(z).
2*(z - 2)*(z - 1)**2/5
Factor 10/7*r**3 - 506/7*r + 164/7*r**2 - 228/7.
2*(r - 3)*(r + 19)*(5*r + 2)/7
Solve 0 + 28/5*z**2 + 2/5*z**5 + 4/5*z**4 - 24/5*z**3 - 2*z = 0 for z.
-5, 0, 1
Let p be (10 - (-210)/(-20))/((-2)/48). Let f be 40/(-15) + 2 + 28/p. Factor -4/3*z**3 + 1/6 - f*z + 17/6*z**2.
-(z - 1)**2*(8*z - 1)/6
Let -867/2*m**3 - 1887/2*m**2 - 150 - 660*m = 0. Calculate m.
-1, -10/17
Find l, given that -52/3*l**2 + 32/3*l + 10/3*l**4 + 3*l**3 + 0 + 1/3*l**5 = 0.
-8, -4, 0, 1
Let d be 5/((-100)/16) - (-687)/15. Suppose 0 = 93*s - 50*s - d*s. Factor -6/5*i**4 + 1/5*i**5 + 9/5*i**3 + 0*i + 0 + s*i**2.
i**3*(i - 3)**2/5
Let p(x) be the first derivative of -2*x**3/3 - 5*x**2/2 - 6*x - 47. Let h(i) = i**2 + 4*i + 5. Let b(u) = 3*h(u) + 2*p(u). Determine o, given that b(o) = 0.
-1, 3
Solve 0 + 7/3*b**3 + 23/6*b**2 + 7/4*b - 1/12*b**5 + 1/6*b**4 = 0.
-3, -1, 0, 7
Let y = -359 - -373. Let s(h) = -3*h**2 + 10*h + 7. Let g(z) = 11*z**2 - 32*z - 22. Let f(a) = y*s(a) + 4*g(a). Suppose f(k) = 0. What is k?
-5, -1
Let a(p) be the first derivative of -15 - 6*p + 5/18*p**4 + 3/40*p**5 + 13/36*p**3 + 1/6*p**2. Let u(i) be the first derivative of a(i). Factor u(y).
(y + 1)**2*(9*y + 2)/6
Let k = 60994 - 421651/7. Let j = -755 + k. Solve 10/7 + 2/7*c**3 + j*c + 2*c**2 = 0.
-5, -1
Factor -7*w**3 - 28*w**2 + 1/2*w**5 - 59/2*w + 2*w**4 - 10.
(w - 4)*(w + 1)**3*(w + 5)/2
Let j(a) be the third derivative of -a**7/280 - 299*a**6/40 - 268203*a**5/40 - 26730899*a**4/8 - 7992538801*a**3/8 - 273*a**2. What is u in j(u) = 0?
-299
Let o(d) be the first derivative of -d**6/6 - 3*d**5/4 - 5*d**4/4 - 5*d**3/6 + 74*d + 25. Let z(q) be the first derivative of o(q). Suppose z(j) = 0. What is j?
-1, 0
Let y be (-3)/((30/(-40))/1). Let i be (13 - 3)/(10/y). Factor 1/3*b**i - 1/3*b**2 + 0*b**3 + 0 + 0*b.
b**2*(b - 1)*(b + 1)/3
Let s(q) = 13 + 7 + 8 + 72*q + 0 - 8*q**2 - 64*q**3. Let z(i) = 7*i**3 + i**2 - 8*i - 3. Let n(x) = -3*s(x) - 28*z(x). Let n(k) = 0. Calculate k.
-2, 0, 1
Let a = 971267 + -971265. Determine q so that -1/4*q**4 + 1/8*q**3 + 0 + 0*q + 1/8*q**a = 0.
-1/2, 0, 1
Let w(a) be the first derivative of -4*a**3/21 - 104*a**2/7 + 128*a + 180. Factor w(r).
-4*(r - 4)*(r + 56)/7
Let f(i) = -27*i + 324. Let w be (-1188)/162*18/(-11). Let y be f(w). Factor y*a**2 - 1/8*a + 1/8*a**3 + 0.
a*(a - 1)*(a + 1)/8
Let y be 2/9*-3 - (-992)/1500. Let d = 736/2625 - y. Determine n, given that d*n**2 - 16/7*n + 32/7 = 0.
4
Let h(l) be the first derivative of 0*l**3 + 8 + 0*l**2 - 1/48*l**4 - 9*l. Let i(r) be the first derivative of h(r). Let i(m) = 0. What is m?
0
Let o = -4/1223 + 1703/146760. Let b(a) be the third derivative of 0*a - 1/16*a**4 + 0*a**3 + o*a**5 + 0 - 23*a**2. Find y, given that b(y) = 0.
0, 3
Suppose -j + 3*n + 10 = 0, 2*j + n = 2*n + 10. Suppose 0*h - 28 = -j*h. Factor -5*v**4 + 11*v + h*v - 2*v**5 - 16*v + 4*v**2 + v**4.
-2*v*(v - 1)*(v + 1)**3
Let z = 114 + -105. Factor 4*b**3 - 6*b - 3*b**2 - z*b**3 + 4*b**2 + 6*b**3.
b*(b - 2)*(b + 3)
Let k = 27346/177073 + -8/13621. Suppose 34/13 + 36/13*a + k*a**2 = 0. Calculate a.
-17, -1
Suppose -4*c + 16 = q, 5*q - 116 = 5*c - 111. What is p in 9*p**2 - p**2 - 1256*p**4 + 6*p**5 + 1272*p**4 - 30*p**c = 0?
-4, 0, 1/3, 1
Let h(n) = 3*n**4 - 5*n**3 + n**2 + n - 1. Let j(t) = 13*t**4 - 90*t**3 + 176*t**2 - 134*t + 39. Let a(m) = -4*h(m) - j(m). Factor a(z).
-5*(z - 1)**3*(5*z - 7)
Let q = -842/9 - -284569/3042. Let s = 255/169 + q. Factor 0 + 9/2*p**2 + s*p + 15/8*p**3.
3*p*(p + 2)*(5*p + 2)/8
Let d(b) be the first derivative of -4/3*b**3 + 4*b**2 + 16*b - 1/2*b**4 - 51. Factor d(z).
-2*(z - 2)*(z + 2)**2
Let y = -33310 + 33310. Factor y + 0*p + 4/3*p**3 - 68/3*p**2.
4*p**2*(p - 17)/3
Let h(r) be the first derivative of 133*r**3/18 - 577*r**2/4 + 13*r/3 - 14272. Factor h(m).
(m - 13)*(133*m - 2)/6
Let y = 4941 - 4937. Let w(n) be the first derivative of 0*n**2 - 2/3*n**3 + 11/2*n**y - 76/5*n**5 + 0*n + 40/3*n**6 - 24. Solve w(h) = 0.
0, 1/5, 1/4, 1