48*t. Let c(z) = -1. Let j(g) = 3*g**2 - 12*g + 12. Let u(m) = t*c(m) + j(m). Suppose u(n) = 0. Calculate n.
1, 3
Suppose -28 = -4*l - 5*s, -8*l = -12*l + s + 52. Let f be (1 - 15/(-15)) + l/(-11). Determine x, given that 2/11*x**4 - 2/11*x**3 + f*x - 4/11 - 6/11*x**2 = 0.
-2, 1
Let u(k) be the first derivative of k**5/20 + 163*k**4/8 - 329*k**3/3 + 165*k**2 - 501. Let u(w) = 0. Calculate w.
-330, 0, 2
Let g(h) be the first derivative of h**3/18 - 631*h**2/12 - 2628. Factor g(t).
t*(t - 631)/6
Let f(g) be the third derivative of g**7/70 + 4*g**6/5 - 71*g**5/20 - 51*g**4/4 + 49*g**2 - 13. Suppose f(a) = 0. Calculate a.
-34, -1, 0, 3
Let c(j) be the first derivative of 188/3*j**3 - 73 + 12/5*j**5 + 0*j + 74*j**4 - 48*j**2. Find a such that c(a) = 0.
-24, -1, 0, 1/3
Let z be ((-153)/34)/((-5)/(-10)) - 125/(-11). Determine l so that 50/11 - 2/11*l**5 - 116/11*l**3 + 212/11*l**2 + z*l**4 - 170/11*l = 0.
1, 5
Let d = 287 + -77. Let r be ((-36)/21)/((-6)/d). Factor 4*j**4 - 16*j**3 + 44*j**3 - 8 + 24 + 52*j + r*j**2.
4*(j + 1)**3*(j + 4)
Factor 322/3*s + 0 - 2/3*s**3 - 320/3*s**2.
-2*s*(s - 1)*(s + 161)/3
Factor -144*z + 959*z - 65*z - 3*z**2 + 1512.
-3*(z - 252)*(z + 2)
Let o(i) be the second derivative of i**5/90 + i**4/54 - i**3/27 - i**2/9 - 21*i. Let o(n) = 0. Calculate n.
-1, 1
Let n(b) = -2*b**2 - 6*b + 8. Let t be n(-6). Let v be t/(-18) + (-102)/459. Factor -8/3*q - v - 4/3*q**2.
-4*(q + 1)**2/3
Let x(z) be the third derivative of z**6/60 + z**5/10 - 3*z**4 + 32*z**3/3 - 1323*z**2. Solve x(c) = 0.
-8, 1, 4
Let q(d) = 14*d**3 - 439*d**2 + 12535*d - 12075. Let a(g) = 6*g**3 - 220*g**2 + 6268*g - 6040. Let c(h) = 10*a(h) - 4*q(h). Factor c(z).
4*(z - 55)**2*(z - 1)
Let n(h) = 3*h**3 + 201*h**2 - 1052*h + 1301. Let y(i) = 12*i**3 + 804*i**2 - 4206*i + 5205. Let z(c) = -21*n(c) + 5*y(c). What is t in z(t) = 0?
-72, 2, 3
Let -36*k - 4/3*k**2 - 680/3 = 0. What is k?
-17, -10
Find x such that 12*x**2 - 2*x**3 + 198*x - 11818 + 5884 + 5726 = 0.
-8, 1, 13
Suppose -9*j + 4*j = 50. Let z be ((-13)/(-65))/((-1)/j). Factor 36 - 16*l + 32 + 16*l**3 + 12*l**z - 84 + 4*l**4.
4*(l - 1)*(l + 1)*(l + 2)**2
Factor 52/11*n**3 + 0 + 0*n + 96/11*n**2 + 2/11*n**4.
2*n**2*(n + 2)*(n + 24)/11
Let p be (-5)/(-11) - (-1354)/7447. What is l in -1/11*l**2 + 0 + 0*l - 7/11*l**5 + 1/11*l**4 + p*l**3 = 0?
-1, 0, 1/7, 1
Suppose -18 = -2*h - 8. Suppose -h*t + 2 = -23. What is z in -5*z**2 - 4*z - t*z**2 + 8*z**2 + 4*z**2 = 0?
0, 2
Let q be ((6/(-21) + 209/1001)*0)/(-1). Determine l so that q - 21/4*l**3 + 0*l + 1/4*l**4 + 5*l**2 = 0.
0, 1, 20
Let -117025*q - 228010 - 1520*q**2 - 78*q**3 + 32*q**3 + 34*q**3 + 7*q**3 = 0. Calculate q.
-151, -2
Suppose 0 = 2*a + 5*w + 5, -4*w - 4 = -0. Suppose 3*p - 2 = t - 14, a = 2*p + 6. Factor -17*f**2 - t*f**5 + 15*f**3 - 2*f**5 + 7*f**2.
-5*f**2*(f - 1)**2*(f + 2)
Let a = 563 - 562. Let m(l) = 4*l**4 - 30*l**3 + 118*l**2 - 168*l + 72. Let h(s) = s**4 - s**3 - 2*s**2. Let k(c) = a*m(c) - 2*h(c). Factor k(v).
2*(v - 6)**2*(v - 1)**2
Let p(n) be the first derivative of 16/3*n - 4/9*n**3 + 8/3*n**2 - 1/3*n**4 + 61. Factor p(c).
-4*(c - 2)*(c + 1)*(c + 2)/3
Let s(t) = 124*t**3 + 2*t**2. Let x be s(1). Let c = x - 126. Suppose 19 - 6*n**2 + 1 + c*n**2 + n**2 + 15*n = 0. Calculate n.
-1, 4
Factor 5164*m + 1028*m**2 - 1435*m - 1029*m**2 - 11655396 + 3099*m.
-(m - 3414)**2
Suppose 5*l + 4*g - 60 = 0, 4*l - g = -17271 + 17277. Solve -16/7*d**3 + 32/7*d**l - 40/7*d**2 + 8/7 + 20/7*d**5 - 4/7*d = 0.
-1, 2/5, 1
Let b(n) be the first derivative of -65 - 3/13*n**2 + 1/39*n**6 + 0*n + 0*n**5 - 3/13*n**4 + 16/39*n**3. Suppose b(f) = 0. Calculate f.
-3, 0, 1
Suppose -u = 5*f + 681, 7*f - 9*f + 2834 = -4*u. Let r = u + 708. Find c such that -16/11*c**r - 2/11*c**3 - 32/11*c + 0 = 0.
-4, 0
Let d(t) be the second derivative of t**7/378 - 7*t**6/135 + 7*t**5/30 - 4*t**4/27 - 43*t**3/54 + 5*t**2/3 - t + 1263. Find j such that d(j) = 0.
-1, 1, 3, 10
Let f = 4 - 2. Suppose 3*t + f - 50 = 0. Factor 3*l + l**3 + 9*l - t*l.
l*(l - 2)*(l + 2)
Let k(o) be the first derivative of 3*o**4/16 - 7*o**3/2 + 195*o**2/8 - 75*o + 356. Factor k(d).
3*(d - 5)**2*(d - 4)/4
Suppose 465 = n + 4*n. Let o = n - 85. Let d(m) = 12*m**4 + 20*m**3 + 8*m**2 - 8*m + 8. Let h(t) = t**4 + t**3 - t + 1. Let w(j) = o*h(j) - d(j). Factor w(r).
-4*r**2*(r + 1)*(r + 2)
Let j(d) = -335*d**2 - 58*d + 112. Let n(f) = -84*f**2 - 12*f + 28. Let z(i) = -4*j(i) + 15*n(i). Factor z(t).
4*(t + 1)*(20*t - 7)
Suppose -3*b - 141 = -8*b + 4*i, -3*b + 5*i = -95. Let j be b/175 - 1/7. Factor -1/5*f**2 + 3/5*f**3 + 1/5*f**5 + 0*f - 3/5*f**4 + j.
f**2*(f - 1)**3/5
Let u be (38/4 - 0)/(2/32). Suppose -9*h = -h - u. Solve -22*k**2 + 17 + h*k**2 - 5 = 0 for k.
-2, 2
Factor 0 + 3018/7*x - 2/7*x**2.
-2*x*(x - 1509)/7
Let o(v) = 2*v**4 + v**3 + v**2 + 2. Let h = -463 + 462. Let a(i) = -i**4 - 2*i**3 - 23*i**2 - 18*i - 4. Let k(r) = h*a(r) - 2*o(r). What is s in k(s) = 0?
-2, -1, 0, 3
Solve -9*x**2 + 366*x - 3*x**2 - 5*x**2 + 20*x**2 + 0*x**2 - 2709 = 0 for x.
-129, 7
Factor -98/25*l**2 + 86/25*l + 12/25.
-2*(l - 1)*(49*l + 6)/25
Solve 6824/7*z**2 - 108/7*z**4 + 12100/7 + 1/7*z**5 + 2798/7*z**3 - 21615/7*z = 0 for z.
-4, 1, 55
Let t(b) be the third derivative of b**8/13440 - b**7/560 - 11*b**6/720 - 7*b**4 + 8*b**2 - b. Let q(s) be the second derivative of t(s). Factor q(c).
c*(c - 11)*(c + 2)/2
Let i(u) = 45*u**2 + 2258*u + 1283685. Let g(n) = -11*n**2 + 2*n + 1. Let o(f) = 4*g(f) + i(f). Factor o(a).
(a + 1133)**2
Let d(n) be the third derivative of n**6/60 - 521*n**5/30 + 17030*n**4/3 - 67600*n**3/3 - 1642*n**2. Factor d(q).
2*(q - 260)**2*(q - 1)
Let q = 55251/340 - 2760/17. Let k(f) be the second derivative of -2*f + 0*f**2 + q*f**5 + 1/30*f**6 + 0 + 0*f**4 + 0*f**3. Suppose k(b) = 0. Calculate b.
-3, 0
Factor 12*c**2 - 328/3*c + 160 + 4/3*c**3.
4*(c - 4)*(c - 2)*(c + 15)/3
Let d be 3708/4326*2*14/8. Let n(s) be the second derivative of 4/7*s**2 + 3/14*s**4 + 0 - 4/7*s**d + 9*s. Factor n(t).
2*(3*t - 2)**2/7
Let t(r) be the first derivative of -235/3*r**3 + 62 + 80*r + 140*r**2 - 10/3*r**6 - 65*r**4 + 31*r**5. Let t(i) = 0. Calculate i.
-1, -1/4, 1, 4
Let n(p) = p**2 + 12*p - 9. Let v be n(-13). Factor -5553*i**4 - 9280*i**2 - 5800*i**3 + 5178*i**v - 5760*i - 861 + 625*i**5 - 419.
5*(i - 4)*(i + 1)*(5*i + 4)**3
Let z(l) = -l**3 - 1. Suppose 0*h - 4*h - 4*f - 16 = 0, 14 = -5*h - 2*f. Let r(q) = 5*q**4 - 15*q**2 - 16*q - 6. Let j(s) = h*z(s) + r(s). Solve j(o) = 0.
-1, -2/5, 2
Let n(m) = m**2 + 12*m + 14. Let g be n(-1). Let x(w) be the first derivative of 4/9*w**g + 0*w + 0*w**2 + 3. Determine b, given that x(b) = 0.
0
Let t be 33/4*(-196)/(-147) - -1. Let 13/4*f**2 + t*f + 1/4*f**3 + 9 = 0. Calculate f.
-6, -1
Let o(b) be the first derivative of -4*b + 7 + 20/3*b**3 + 4*b**2. Let j(p) = -p**2. Let h(v) = 24*j(v) + o(v). Determine u, given that h(u) = 0.
1
Suppose -3*s = -10 - 23. Let n be (0 - (-2)/(-5))*(s + -16). Factor 3*u**n - 4*u**2 - 4 + 5*u**2.
4*(u - 1)*(u + 1)
Let q(v) = v**2 - 27*v - 23. Let c be q(28). Let u be ((-42)/(-30) - c)/(-2). What is n in 0 - 6/5*n + 0*n**3 - 3/5*n**4 + u*n**2 = 0?
-2, 0, 1
Let d(c) = 4*c**3 + 144*c**2 - 1440*c + 1276. Let s(j) = -6*j**3 - 143*j**2 + 1440*j - 1271. Let o(y) = 5*d(y) + 4*s(y). Let o(i) = 0. What is i?
1, 18
Let q(w) = 2*w**5 - 4*w**4 - 18*w**3 - 20*w**2 - 8*w - 2. Let k(y) = y**4 - y**2 + 1. Let o be 5/25 - -1*12/15. Let v(f) = o*q(f) + 2*k(f). Factor v(s).
2*s*(s - 4)*(s + 1)**3
Factor 141*f**2 + 37632 - 8308*f + 3268*f - 3*f**3 + 75*f**2.
-3*(f - 28)**2*(f - 16)
Suppose -3*z = 4*d, 0 + 1 = 3*d + 2*z. Suppose 3*m + 7*y - 35 = 2*y, -8 = -4*m + d*y. Factor l - 4*l**3 - 13*l**m + l + 15*l**5.
2*l*(l - 1)**2*(l + 1)**2
Let c = 679 - 1017. Let q be 4/(-26) - 1066/c. Factor -2/7*b**q + 8/7*b**2 + 0 + 10/7*b.
-2*b*(b - 5)*(b + 1)/7
Let v be (-4)/7 - 612/7. Let y be ((-2)/(-7))/(v/(-1232)). Factor 0 + 8/9*c**3 + 2/9*c**y - 22/9*c**2 + 4/3*c.
2*c*(c - 1)**2*(c + 6)/9
Suppose -16*n = 5712 - 24560. What is g in -3025 - 10681 - 488*g - 4*g**2 - n = 0?
-61
Let p(y) be the first derivative of -135*y**4/4 + 1870*y**3/3 - 6335*y**2/2 - 980*y - 3461. Find c such that p(c) = 0.
-4/27, 7
Let s(a) = a**2 + 3*a - 1. Let h(b) = 3795*b + 1205871. Let k(f) = -h(f) - 3*s(f). Factor k