 + 359)/5
Let z(j) be the second derivative of 3*j**6/40 + 3*j**5/20 - 19*j**4/24 + 5*j**3/6 - 3*j**2/8 + 223*j - 2. Find m such that z(m) = 0.
-3, 1/3, 1
Determine s so that -32/9 + 2/9*s**2 + 0*s = 0.
-4, 4
Let u = 195/92 - 20/23. Suppose 522 = -16*w + 554. Determine q so that -1 - 4*q - u*q**w + 7/4*q**3 = 0.
-1, -2/7, 2
Let h(m) = -2*m**2 + 17*m - 65. Let g be h(5). Let s be (-4)/g + (-308)/(-165). Factor 0*t**3 - 3/4*t**s - 3/8*t**5 + 3/8*t + 0 + 3/4*t**4.
-3*t*(t - 1)**3*(t + 1)/8
Determine g, given that -1647/2*g + 3/2*g**2 + 0 = 0.
0, 549
Let y(f) = 2*f**3 - 40*f**2 + 68*f + 50. Let d(l) = -9*l**3 + 192*l**2 - 339*l - 252. Let c(g) = 5*d(g) + 24*y(g). Solve c(p) = 0.
-4, -1, 5
Let k(s) = -s**5 - s**4 - s**3 + s**2 + s - 1. Let h(u) = 49*u**2 + 4*u**4 + 2*u**5 - 8*u - 50*u**2 + 0*u**5 + 9*u**3. Let j(m) = h(m) + 3*k(m). Factor j(f).
-(f - 3)*(f - 1)*(f + 1)**3
Determine p so that -3362 - 1/2*p**2 - 82*p = 0.
-82
Let u = 1327/2552 - 126/319. Let v(o) be the second derivative of -17*o - 11/3*o**3 - u*o**5 - 37/24*o**4 - 3*o**2 + 0. Factor v(n).
-(n + 1)*(n + 6)*(5*n + 2)/2
Suppose -3*m + 64*m + 16*m = -3*m. Let t(p) be the first derivative of 0*p + m*p**2 + 0*p**3 - 30 - 5/12*p**4. Find k, given that t(k) = 0.
0
Let i(c) be the first derivative of c**4/2 + 28*c**3/5 - 161*c**2/5 + 228*c/5 + 5785. Factor i(h).
2*(h - 2)*(h - 1)*(5*h + 57)/5
Let a = 113 + -442. Let c = -327 - a. Factor 0*n**c + 0 + 0*n - 3/8*n**4 - 3/4*n**3.
-3*n**3*(n + 2)/8
Let i(s) be the third derivative of -1/27*s**4 + 0*s**3 + 0*s + 141*s**2 + 1/270*s**5 + 0. Factor i(o).
2*o*(o - 4)/9
Let n(i) = 65*i**3 - 2472 + 4 - 945*i**2 - 547 + 2970*i. Let x(h) = -3*h**3 + 43*h**2 - 135*h + 137. Let s(v) = -2*n(v) - 45*x(v). Factor s(u).
5*(u - 3)**3
Let x(q) = -19*q**3 - 295*q**2 - 1213*q - 1706. Let a(v) = 10*v**3 + 150*v**2 + 606*v + 852. Let l(h) = 11*a(h) + 6*x(h). Factor l(w).
-4*(w + 3)**2*(w + 24)
Let f(k) be the first derivative of -k**8/18480 + k**7/9240 + k**6/1980 + 68*k**3/3 - 3. Let n(t) be the third derivative of f(t). Factor n(i).
-i**2*(i - 2)*(i + 1)/11
Let p = -281 - -284. Factor 16*w - 38*w**2 - 5 + 14*w**p - 1 - 6 + 29 - 9.
2*(w - 2)*(w - 1)*(7*w + 2)
Let w(o) be the third derivative of -o**5/60 + 145*o**4/24 + 2710*o**2. Factor w(f).
-f*(f - 145)
Let r(y) be the first derivative of 1/3*y + 59 + 1/18*y**6 + 2/9*y**3 - 1/5*y**5 - 1/2*y**2 + 1/6*y**4. Factor r(n).
(n - 1)**4*(n + 1)/3
Factor -929*y + 9123*y**2 + 240*y - 49*y - 9115*y**2 + 184.
2*(y - 92)*(4*y - 1)
Let q be -1 + (90/35)/2. Suppose 17 + 5 = b - 5*s, 0 = 4*s + 16. Factor 6/7*c - 8/7 + q*c**b.
2*(c - 1)*(c + 4)/7
Let f(i) = 2*i**5 + 2*i**4 - 8*i**3 - 4*i**2 + 2*i + 2. Let y(d) = -d**5 + d**4 - 2*d**2 - d + 1. Suppose 30 = 6*l + 18. Let q(p) = l*y(p) - f(p). Factor q(c).
-4*c*(c - 1)**2*(c + 1)**2
Suppose -60 = -11*d - 4*d. Factor 2*z**3 - 3*z**3 - 11*z**2 - 9*z + 7*z**2 - d - 2*z**2.
-(z + 1)**2*(z + 4)
Suppose 19*v - 6*v = 1079. Let h(k) = -k**2 - 8 - 3 - v*k + 66*k. Let o(x) = 3*x**2 + 60*x + 39. Let a(l) = 18*h(l) + 5*o(l). Determine i so that a(i) = 0.
-1
Suppose 141*t**4 - 86*t**4 - 84*t**5 + 20*t**2 - 65*t**3 + 74*t**5 = 0. What is t?
0, 1/2, 1, 4
Let q(n) be the second derivative of n**7/14 + 2*n**6/5 - 93*n**5/10 + 39*n**4 - 99*n**3/2 + 1455*n. Suppose q(s) = 0. Calculate s.
-11, 0, 1, 3
Let z(f) be the first derivative of -f**4/12 + 2*f**3 + 13*f**2/2 - 1352*f/3 + 13376. Solve z(d) = 0 for d.
-8, 13
Let f(y) be the third derivative of y**7/21 + 169*y**6/60 + 121*y**5/30 - 361*y**4/12 + 22*y**3 + 3132*y**2. Suppose f(b) = 0. What is b?
-33, -2, 1/5, 1
Let z be 5 - (15/(-2 - -5) + -3). Find b, given that -b**2 - 2*b**4 - 70*b**z + 66*b**3 + 7*b**2 + 0*b**4 = 0.
-3, 0, 1
Let u(p) = p**3 - 345*p**2 + 4237*p - 13965. Let c(k) = -k**3 + 1030*k**2 - 12712*k + 41895. Let j(w) = -2*c(w) - 7*u(w). Solve j(n) = 0.
7, 57
Suppose 2*q - 40 - 2 = 0. Suppose -7*l = -14*l + q. Factor -36*k + 24 - 21*k**3 + 0*k**l + 54*k**2 - 24*k + 3*k**4.
3*(k - 2)**3*(k - 1)
Let m(v) be the third derivative of -9*v**7/70 - 11799*v**6/40 - 11793*v**5/20 - 11791*v**4/24 - 655*v**3/3 - 310*v**2 + 3. Factor m(s).
-(s + 1310)*(3*s + 1)**3
Let f(c) be the second derivative of -c**6/15 + c**5 - 17*c**4/6 + 8*c**3/3 + 163*c - 4. Find a such that f(a) = 0.
0, 1, 8
Factor 192*n**2 - 7706 + 23*n**2 - 15*n**3 - 70*n + 7706.
-5*n*(n - 14)*(3*n - 1)
Let d(p) be the second derivative of -p**7/28 + 3*p**6/20 + 21*p**5/40 - 27*p**4/8 + 9*p**3/2 + 1593*p. Solve d(b) = 0 for b.
-3, 0, 1, 2, 3
Find n such that -244*n - 4*n**3 - 1688*n**2 - 180 - 84 + 3366*n**2 - 1742*n**2 = 0.
-11, -3, -2
Suppose 8*z = 726 - 686. Let l(b) be the second derivative of 0*b**3 + 0*b**2 + 0*b**4 + 0 + 1/10*b**z + 6*b. Find m, given that l(m) = 0.
0
Let p(h) be the first derivative of h**7/3360 - 11*h**6/1440 + h**5/20 + h**3/3 - 81*h - 111. Let b(f) be the third derivative of p(f). Factor b(t).
t*(t - 8)*(t - 3)/4
Let p(y) be the third derivative of y**7/3780 - 11*y**6/1620 + y**5/30 - 71*y**3/3 - 138*y**2. Let z(j) be the first derivative of p(j). Factor z(w).
2*w*(w - 9)*(w - 2)/9
Let u(q) be the third derivative of -q**6/20 + 47*q**5/15 + 275*q**4/12 - 34*q**3 + 1499*q**2. Factor u(a).
-2*(a - 34)*(a + 3)*(3*a - 1)
Let h = 1685 - 1692. Let u(g) = -145*g - 1013. Let l be u(h). Determine f so that -24/5*f**2 + 5 - 1/5*f**4 + l*f**3 - 2*f = 0.
-1, 1, 5
Find h, given that 14/13*h**4 + 32/13*h**2 + 0*h - 64/13*h**3 + 0 = 0.
0, 4/7, 4
Let f be (-2)/(-4) - (-2202)/8824*-2. Let l = f - -3305/4412. Determine k, given that 9/4 - l*k**2 - 3/2*k = 0.
-3, 1
Let w be (8/(-14))/(11/(-7)). Suppose 2*x + 8 = 4*x, -4*a + 3*x = 12. Find q such that a*q + 0 + 2/11*q**3 - w*q**2 = 0.
0, 2
Let w(a) = a**3 - 212*a**2 + 1821*a + 1218. Let s be w(203). Let -16/7*t**5 + 12/7*t + 12*t**3 - 12/7*t**4 + s - 68/7*t**2 = 0. Calculate t.
-3, 0, 1/4, 1
Suppose 4*c = -6*c + n + 63, 9 = 2*c + n. Let l(i) be the first derivative of i**3 - c*i**2 + 7 - 12*i + 3/4*i**4. Factor l(u).
3*(u - 2)*(u + 1)*(u + 2)
Let g = 212566927/110 - 1932413. Let a = g + -6/55. Factor 18*q**2 - a*q**3 + 0 - 6*q.
-3*q*(3*q - 2)**2/2
Let z(n) = -93 + 9*n**2 - 13*n + 0*n**2 - 3. Let b(r) = 14*r**2 - 20*r - 144. Let i(y) = -5*b(y) + 8*z(y). Suppose i(l) = 0. Calculate l.
-4, 6
Let o(x) be the third derivative of 5*x**5/4 + 35*x**4/4 + 49*x**3/2 + 3*x**2 + 223. What is w in o(w) = 0?
-7/5
Let y = 39 + -21. Factor 9 - 3*g**4 - 13*g**5 + 16*g**5 - 2*g - y*g**3 - 6*g**2 + 17*g.
3*(g - 3)*(g - 1)*(g + 1)**3
Let l = 955785 + -955783. Suppose 1/3*o**l + 130/3*o + 4225/3 = 0. What is o?
-65
Factor 28*t - 28*t - 39*t - 58*t - 2*t**3 + 110*t**2 - 11*t.
-2*t*(t - 54)*(t - 1)
Let d(i) = -20*i**3 + 440*i**2 - 1632*i - 504. Let o(r) = -r**3 - 4*r - 1. Let s be (-98)/12 + 22/132. Let a(v) = s*o(v) - d(v). Let a(n) = 0. Calculate n.
-2/7, 8
Find m, given that -441 + 231/4*m + 3/4*m**2 = 0.
-84, 7
Let n be (40/35)/((60/35)/6). Let p = 298 - 105. What is z in -95*z**n + 64*z**4 - p*z**4 + 516*z + 48 + 24 + 950*z**2 - 49*z**5 + 31*z**3 = 0?
-3, -2/7, 2
Let n = 57 + -45. Let a(k) = 29*k + 17. Let o be a(n). Factor -182*v + 5*v**2 - 178*v + o*v.
5*v*(v + 1)
Let h(u) be the second derivative of u**4 + 0*u**2 + 1/5*u**5 - 8/3*u**3 - u + 1. Suppose h(i) = 0. What is i?
-4, 0, 1
Suppose 4*d + 4*f - 5*f - 13 = 0, 4*f = -2*d - 16. Factor -6*r**2 + 14*r**2 - 35*r - 13*r**d - 50.
-5*(r + 2)*(r + 5)
Let v be ((819/120)/(-7))/((-273)/52). Let t = 33/70 - v. Factor -2/7 - t*l**4 + 2/7*l**5 + 2/7*l + 4/7*l**2 - 4/7*l**3.
2*(l - 1)**3*(l + 1)**2/7
Let i = -2/2989 - -6016/56791. Factor -12/19 + 2/19*w**2 + i*w.
2*(w - 2)*(w + 3)/19
Let a = -81782 - -81785. Factor 0 + 0*z + 1/8*z**4 + 3/2*z**2 - z**a.
z**2*(z - 6)*(z - 2)/8
Factor -415152/7 - 3/7*t**2 - 2232/7*t.
-3*(t + 372)**2/7
Let z be ((-108)/72)/((-6)/8). Suppose -4*l - z*n = -9*l + 12, 0 = -5*n - 5. Determine j, given that -12/7*j - 2/7*j**2 + l = 0.
-7, 1
Determine l so that -3/2*l**2 + 279*l - 25947/2 = 0.
93
Determine a so that 16839/7*a - 1690812*a**2 + 29484060/7*a**3 - 6/7 = 0.
1/1402, 2/5
Let b(s) = -28*s - 36. Let z(l) = -13*l - 17. Let k(m) = -3*b(m) + 5*z(m). Let p be k(-1). Factor 4*g**2 + 5/7*g**p - 8/7*g - 22/7*g**3 + 0.
g*(g - 2)**2*(5*g - 2)/7
Let p(h) be the first derivative 