*(n + 8)
Suppose -5441 + 774 - 3181 = -2616*o. What is g in -81/5*g - 603/10*g**2 + 98/5*g**o + 13/2*g**4 + 0 + 2/5*g**5 = 0?
-9, -1/4, 0, 2
Let t(u) = -5 + 6*u**2 - 6*u**3 + 13 + 4*u**3. Let q(y) = y**3 - 3*y**2 - y - 4. Let z be q(4). Let d(c) = -c**2 - 1. Let x(o) = z*d(o) + t(o). Factor x(b).
-2*b**2*(b + 1)
Let i(n) be the first derivative of -n**7/350 + n**6/100 + 2*n**5/25 + 7*n**2/2 - 30. Let k(d) be the second derivative of i(d). Factor k(c).
-3*c**2*(c - 4)*(c + 2)/5
Let d = 50 - 50. Suppose 1 = -s + 5*y, d = 4*y - 2 - 2. Find c such that 162 - 81*c - 670*c**s + 21*c**3 + 667*c**4 - 40*c**2 + 13*c**2 = 0.
-2, 3
Determine w, given that -15/7*w**2 + 3348/7 + 8364/7*w = 0.
-2/5, 558
Let q(a) be the first derivative of a**3/18 + 41*a**2/3 + 161*a/2 + 1296. Factor q(z).
(z + 3)*(z + 161)/6
Let g(f) be the third derivative of f**6/240 + 139*f**5/120 + 23*f**4/8 - 2797*f**2. Factor g(j).
j*(j + 1)*(j + 138)/2
Find p such that 25*p**4 + 814*p + 1140*p**3 - 1635*p**2 - 1 - 344*p + 1 = 0.
-47, 0, 2/5, 1
Let a(x) = 3*x**3 - 14*x**2 - 7*x + 146. Let q(i) = -i**3 + 4*i**2 + 3*i - 48. Let n(z) = -3*a(z) - 8*q(z). Find f, given that n(f) = 0.
-2, 3, 9
Let a(g) be the second derivative of -g**6/60 - 23*g**5/20 - 227*g**4/8 - 874*g**3/3 - 1444*g**2 - 498*g. Let a(h) = 0. What is h?
-19, -4
Let f = 883 - 878. Let l be 240/320 + f/4. Factor -8/9*r - 2/9*r**l - 2/3.
-2*(r + 1)*(r + 3)/9
Let m = -748182 - -5249442/7. Suppose -312/7*c - m - 2/7*c**2 = 0. What is c?
-78
Let a(h) be the second derivative of 0*h**2 - 1/27*h**4 + 4/9*h**3 - 64*h + 0. Factor a(q).
-4*q*(q - 6)/9
Factor 72/7*f**4 - 720/7*f**2 + 400/7*f + 0 + 244/7*f**3 + 4/7*f**5.
4*f*(f - 1)**2*(f + 10)**2/7
Suppose 1992*m**3 + 5032*m**2 + 716 + 12*m**4 + 1261*m + 184*m**3 + 3226*m - 903*m = 0. Calculate m.
-179, -1, -1/3
Suppose 0 = -122*n + 115*n + 21. Solve 20*u - 4413*u**n + 4434*u**3 + 16*u - 3*u**4 - 48*u**2 = 0 for u.
0, 2, 3
Let q(l) be the third derivative of l**8/1344 + 4*l**7/105 - l**6/240 - 4*l**5/15 + l**4/96 + 4*l**3/3 + 6*l**2 - 145. Solve q(g) = 0 for g.
-32, -1, 1
Let m be ((-72)/(-182))/(2492/8722). Factor 2/13*i**2 - m*i + 0.
2*i*(i - 9)/13
Let o = -86843 + 432278/5. Let a = -387 - o. Factor 4*d**3 - a + 12/5*d - 6/5*d**4 - 24/5*d**2.
-2*(d - 1)**3*(3*d - 1)/5
Let b(t) = t + 18. Let g be b(-6). What is z in -g*z - 203*z**2 + 200*z**2 - 4*z - 8*z = 0?
-8, 0
Let 54/11*q - 10/11*q**5 - 4*q**3 - 54/11 + 108/11*q**2 - 54/11*q**4 = 0. Calculate q.
-3, -1, 3/5, 1
Let y(q) be the first derivative of q**6/660 - q**5/30 + 7*q**4/132 - 20*q**3/3 - 45. Let p(o) be the third derivative of y(o). Find z, given that p(z) = 0.
1/3, 7
Let u(q) be the second derivative of -q**7/630 - 23*q**6/360 - 11*q**5/60 + q**4 + q**3/2 + 81*q. Let v(s) be the third derivative of u(s). Factor v(t).
-2*(t + 11)*(2*t + 1)
Let w(d) be the second derivative of -d**5/30 + 43*d**4/9 - 29*d - 7. Let w(c) = 0. Calculate c.
0, 86
Let w be (-41)/(-1)*(-3 + 4). Suppose 112 - w = m. Factor -z**2 - 8*z**2 - 7*z**3 - 2 - m*z + 2*z**3 - z**4 + 64*z.
-(z + 1)**3*(z + 2)
Let k = -180542/3 - -60181. What is h in -2/3*h - k*h**4 - 4/3*h**3 + 0 - 5/3*h**2 = 0?
-2, -1, 0
Let f be 8*-1*(-3 + -1). Let a = 35 - f. Let 6*j**3 + 6*j**3 - a*j**5 + 12*j**2 + 27*j**4 - 30*j**4 = 0. Calculate j.
-2, -1, 0, 2
Let l(m) be the third derivative of 0*m + 2 - 1/15*m**5 - 1/8*m**4 + 1/840*m**7 - 1/160*m**6 + 0*m**3 + 6*m**2. Factor l(r).
r*(r - 6)*(r + 1)*(r + 2)/4
Let i(o) be the second derivative of o**7/504 + 11*o**6/144 + 31*o**4/6 - 158*o. Let a(v) be the third derivative of i(v). Solve a(w) = 0 for w.
-11, 0
Let o(s) be the second derivative of 0*s**2 - 25/6*s**6 + 5/3*s**4 + 0 - s + 20*s**3 - 5/14*s**7 - 21/2*s**5. Determine u so that o(u) = 0.
-6, -2, -1, 0, 2/3
Let f(c) be the first derivative of -10*c - 15/2*c**2 - 5/3*c**3 + 79. Factor f(d).
-5*(d + 1)*(d + 2)
Let y(s) = 48*s + 685 - 52 + 18*s**2 + 3*s - 17*s**2. Let g be y(-30). Factor 3/8*t**2 + 6 - g*t.
3*(t - 4)**2/8
Let d(z) = 129*z**2 - 42444*z + 5293. Let q(r) = -988*r**2 + 325404*r - 40580. Let x(u) = -84*d(u) - 11*q(u). Factor x(k).
4*(k - 442)*(8*k - 1)
Factor 119*i + 575*i - i**2 - 336400 + 466*i.
-(i - 580)**2
Suppose 50*r - 58*r + 208 = 0. Let f be -3*r/819*-14. Factor -f*w**3 - 20/3*w**2 - 28/3 + 52/3*w.
-4*(w - 1)**2*(w + 7)/3
Let w(k) be the third derivative of -k**8/3864 + 4*k**7/2415 + 4*k**6/115 - 32*k**5/69 + 128*k**4/69 - 2*k**2 + 45*k + 6. Factor w(g).
-2*g*(g - 4)**3*(g + 8)/23
Let p be (5/(-75))/(39/(-923390)). Let s = -1578 + p. Factor 64/9 + 32/3*v + s*v**2 - 8/3*v**3 + 4/9*v**4.
4*(v - 4)**2*(v + 1)**2/9
Let c be (10*23/46 + -4)*1*0/3. Determine h so that 5/2*h**2 + 7*h + c - 1/2*h**3 = 0.
-2, 0, 7
Find q, given that -4*q**2 - 1342*q + 814 - 2261*q - 419 + 494 + 48*q = 0.
-889, 1/4
Factor -32/9*q**3 + 2/9*q**4 - 256/9*q + 0 + 160/9*q**2.
2*q*(q - 8)*(q - 4)**2/9
Let y be ((-2)/(-5))/((-18)/(-90)). Factor -t**3 - 8*t**3 - 10*t**y + 5*t**4 + 5 + 5*t**5 - 5*t**3 + 4*t**3 + 5*t.
5*(t - 1)**2*(t + 1)**3
Suppose -m + 9 = 2*w, -w - 25 + 7 = -4*m. Let v be w/(-8) + (-52)/(-80). Let 19/10*i - v*i**3 + 11/10*i**2 + 2/5 = 0. What is i?
-1, -1/4, 4
Factor 41/3*f - 86/3 + 1/3*f**2.
(f - 2)*(f + 43)/3
Let p be 8/(-16)*4/(-8). Let r(c) be the second derivative of -30*c - 1/16*c**4 - 3/8*c**2 + 0 + p*c**3. Suppose r(z) = 0. Calculate z.
1
Let s(b) = 4*b**3 - 4*b**2 + 6*b. Let o be s(4). Determine u so that 70*u + 168*u**2 + 2*u**4 - 17*u**3 - o*u + 3 + 45 - 37*u**3 - 18*u**2 = 0.
1, 24
Let k(s) be the first derivative of 4*s**3/3 + 2552*s**2 + 1628176*s + 1282. Suppose k(l) = 0. What is l?
-638
Factor -763/8 - 1/8*y**2 - 29/2*y.
-(y + 7)*(y + 109)/8
Let z(a) = 57*a + 15750. Let j be z(-250). Factor j - 100*p + 5/3*p**2.
5*(p - 30)**2/3
Suppose -355 + 50 = -61*g. Suppose j = -53 + 49, -5*l + g*j + 20 = 0. Factor l - 2/7*d - 1/7*d**2.
-d*(d + 2)/7
Let c(i) be the first derivative of -22/9*i**3 + 2/15*i**5 - i**4 + 200/3*i + 20*i**2 - 159. Factor c(w).
2*(w - 5)**2*(w + 2)**2/3
Let b(f) be the second derivative of 2/21*f**4 + 1/70*f**5 + 66*f + 0 + 0*f**2 - 5/21*f**3. Factor b(h).
2*h*(h - 1)*(h + 5)/7
Find y, given that -3131*y - 190/3*y**2 - 1/3*y**3 - 11532 = 0.
-93, -4
Suppose -1104*i - 504 + 3861 = 45. Find y, given that 18/5*y + 6/5*y**i + 6*y**2 - 54/5 = 0.
-3, 1
Let o(v) be the first derivative of 1/63*v**3 + 28*v + 1/126*v**4 - 6 + 0*v**2. Let r(y) be the first derivative of o(y). Determine h so that r(h) = 0.
-1, 0
Let f(z) be the second derivative of 5*z**7/42 + 13*z**6/6 - 5*z**5 - 100*z**4/3 + 160*z**3/3 + 280*z**2 - 8*z + 23. Solve f(n) = 0 for n.
-14, -2, -1, 2
Let a(f) be the third derivative of f**7/315 - 47*f**6/180 - 17*f**5/5 - 157*f**4/9 - 424*f**3/9 - 1506*f**2. Find l, given that a(l) = 0.
-2, 53
Let j(z) be the second derivative of 2/105*z**6 - 11/70*z**5 - 16/7*z**2 + 1 + 4/3*z**3 + z - 2/21*z**4 + 1/147*z**7. Determine v, given that j(v) = 0.
-4, -2, 1, 2
Suppose 0 = -f + 4*s - 0 + 4, 0 = -2*s. Let o be (5 + (-282)/18)*((-81)/15)/9. Suppose -18/5*m**3 + 0 + 48/5*m**f - o*m**5 + 2/5*m**2 + 0*m = 0. Calculate m.
0, 1/4, 1
Let k(b) be the second derivative of -b**4/12 - 9*b**3/2 - 89*b**2 + 128*b - 2. Let g be k(-12). Factor 0 - 1/2*c - 1/2*c**3 + c**g.
-c*(c - 1)**2/2
Let f(t) be the third derivative of t**8/50400 - t**7/2100 + t**6/225 - 53*t**5/60 - 29*t**2. Let w(h) be the third derivative of f(h). Factor w(c).
2*(c - 4)*(c - 2)/5
Let g(b) be the third derivative of -b**5/12 - 275*b**4/4 + 1655*b**3/6 + 6649*b**2. Factor g(o).
-5*(o - 1)*(o + 331)
Let q(j) = j**2 + 4*j - 7. Let y be q(-4). Let l be 3/y + 7/(196/96). Let -12 + 2*m**l - 2*m - 12*m**2 - 2 + 26*m**2 = 0. What is m?
-7, -1, 1
Let k be (12/(-9))/((-32)/(-12) - 3). Find q, given that 8*q - k*q + 9*q - 4*q**2 + 3*q - 16*q**3 + 4 = 0.
-1, -1/4, 1
Let f(t) = -51*t + 90. Let j be f(33). Let q be 885/j*12/(-10). Factor -q*o**2 - 4/9 + 10/9*o + 2/9*o**4 - 2/9*o**3.
2*(o - 1)**3*(o + 2)/9
Suppose -190 + 10 = -5*l. Let s = l - 34. Factor 85 - 37 - 4*a**s - 44.
-4*(a - 1)*(a + 1)
Factor 16*v**3 - 31*v**2 + 220*v - 59 - 12*v**3 - 49 - 85*v**2.
4*(v - 27)*(v - 1)**2
Let s(m) be the first derivative of -4/3*m**2 - 80 + 0*m - 1/6*m**4 + 8/9*m**3. Determine h, given that s(h) = 0.
0, 2
Suppose f