 - 64*q**2. Let u(v) = i(v) - 2*y(v). Factor u(t).
-(t + 1)*(t + 2)*(t + 8)
Let a(u) be the first derivative of -u**3/3 - 1022*u**2 - 1044484*u + 2248. Suppose a(n) = 0. What is n?
-1022
Let b be 3 - 57/18 - (-3350)/12. Factor -249 + 99*n + 6*n**2 - b + 5*n - 148 - 10*n**2.
-4*(n - 13)**2
Let v(o) = 4*o**4 - 20*o**3 - 82*o**2 - 16*o + 18. Let z(b) = b**3 + b**2 + b - 3. Let i(h) = -v(h) + 6*z(h). Suppose i(m) = 0. Calculate m.
-2, -1, 1/2, 9
Determine l so that 4412/11*l**2 + 6/11*l**3 + 0 + 1470/11*l = 0.
-735, -1/3, 0
Factor 0*h + 14/3*h**3 + 0 + 8/3*h**2 + 4/3*h**4 - 2/3*h**5.
-2*h**2*(h - 4)*(h + 1)**2/3
Let 0 + 4/13*x - 18/13*x**4 + 18/13*x**2 - 4/13*x**3 = 0. What is x?
-1, -2/9, 0, 1
Let y = 382 - 366. Let -6*s**4 - y*s**3 - 311*s + 40*s**2 + 4*s**4 + 4*s**4 + 279*s = 0. What is s?
0, 2, 4
Let y = -105 - -120. What is k in -5 - 153*k**3 + 303*k**3 - y*k**2 - 155*k**3 - 15*k = 0?
-1
Let 4/5*r**3 - 8/5*r**2 - 5016/5 - 1028/5*r = 0. Calculate r.
-11, -6, 19
Let t = 3/437695 + 3581658134/7440815. Let q = -481 + t. Factor -q*i + 2/17*i**2 + 0.
2*i*(i - 3)/17
Let o = 291 + -287. Suppose -5*z + 10 = -o*v, 0 = -3*z - 29 + 35. Factor -1/7*k**2 + v*k + 1/7*k**3 + 0.
k**2*(k - 1)/7
Let j(p) = -3*p + 1. Let n(w) be the first derivative of 2*w**3/3 + 23*w**2 - 76*w - 119. Let o(s) = -28*j(s) + 2*n(s). Factor o(q).
4*(q - 1)*(q + 45)
Let z(l) = 7*l**3 + 53*l**2 + 214*l - 666. Let q(h) = 22*h**3 + 160*h**2 + 638*h - 1996. Let t(n) = -5*q(n) + 16*z(n). Factor t(s).
2*(s - 2)*(s + 13)**2
Suppose -a + 3*n = -2*a - 3, 4*n - 4 = -4*a. Factor -5*r - 4*r**a - 14*r + 23*r - 4 + 4*r**2.
-4*(r - 1)**2*(r + 1)
Let y(c) be the third derivative of 0 - 1/405*c**6 + 1/60*c**5 + 0*c + 11/6*c**3 + 9*c**2 - 1/54*c**4. Let g(w) be the first derivative of y(w). Factor g(n).
-2*(n - 2)*(4*n - 1)/9
Let r(u) be the third derivative of -u**6/300 + 3*u**5/25 - 33*u**4/20 + 54*u**3/5 - 23*u**2 - 2*u. Solve r(f) = 0 for f.
3, 6, 9
Let f = 521 + -523. Let c be (304/154 + f)/(61/(-427)). Factor 2/11*k**4 + 0 - 4/11*k**3 + 0*k + c*k**2.
2*k**2*(k - 1)**2/11
Suppose -3*v + 9*k - 12*k = -36, -3*v + 3*k + 18 = 0. Let c be (v/((-360)/32))/(7/(-15)). Factor -c*s**2 - 4/7*s**4 + 0 + 12/7*s**3 + 4/7*s.
-4*s*(s - 1)**3/7
Solve -5*w**3 - 1722*w + 1770*w + 2*w**4 - 13*w**3 - 22*w**2 + 6*w**3 + 56 = 0.
-2, -1, 2, 7
Let d be 6 - 7/((-21)/(-12)). Let z be 33 + d/(-2) + -4. Suppose -w - 2*w + 48*w**3 - 12*w**2 - z*w**4 - 5*w = 0. Calculate w.
-2/7, 0, 1
Suppose 28 = 3*t + 4. Factor -5*d**4 - t*d**3 + 3*d**2 - d**5 + 0*d**2 - 7*d**2.
-d**2*(d + 1)*(d + 2)**2
Let u(c) = c**4 + 71*c**3 - 432*c**2 - 2584*c - 2888. Let q(g) = g**4 + g**3 - 2*g**2. Let h(f) = -3*q(f) + u(f). Factor h(r).
-2*(r - 19)**2*(r + 2)**2
Suppose -r = -5, -5*m = -m + 5*r - 17. Let y be (-1204)/(-168) + 14/m. Factor -1/3*n**3 - 1/6*n**4 + y + 0*n**2 + 1/3*n.
-(n - 1)*(n + 1)**3/6
Let x(u) be the first derivative of u**5/20 + 5*u**4/8 + 7*u**3/12 - 9*u**2/4 - 1351. Factor x(j).
j*(j - 1)*(j + 2)*(j + 9)/4
Factor -12675 + 12545*s + 1/3*s**3 + 389/3*s**2.
(s - 1)*(s + 195)**2/3
Let s be 8/((8/(-32))/((-3)/6)). Factor -6*q + 2*q**2 - 6*q**2 + 34*q - s*q.
-4*q*(q - 3)
Let k be 3/(-1) + 907 + 2. Find j such that 906 - k - 3*j**2 + 48*j = 0.
0, 16
Let t(f) be the third derivative of -f**6/420 + f**5/70 + f**4/21 - 748*f**2. Factor t(g).
-2*g*(g - 4)*(g + 1)/7
Let -64/3*h**4 + 50*h**2 - 40/3*h**3 + 4/3 - 50/3*h = 0. What is h?
-2, 1/8, 1/4, 1
Solve -1/7*f**4 + 3/7*f**2 + 58/7*f**3 - 172/7*f - 116/7 = 0 for f.
-1, 2, 58
Let y(w) be the third derivative of -w**8/13440 + 23*w**7/5040 - 53*w**4/12 + 155*w**2. Let o(b) be the second derivative of y(b). Factor o(t).
-t**2*(t - 23)/2
Let l(n) be the first derivative of -1109205*n**4/44 - 144754*n**3/11 + 1874*n**2/11 - 8*n/11 + 1753. Let l(r) = 0. Calculate r.
-2/5, 2/471
Let m(k) be the first derivative of -3*k**4/4 - 31*k**3 - 717*k**2/2 - 627*k - 247. Let m(t) = 0. What is t?
-19, -11, -1
Let i be -11 - 3*132/(-36). Let g(c) be the first derivative of 1/72*c**6 - 1/48*c**4 + 1/30*c**5 - 1/18*c**3 + 0*c + i*c**2 + 11. Suppose g(u) = 0. What is u?
-2, -1, 0, 1
Let q(n) = 4*n**3 + 509*n**2 + 395*n - 5. Let x(y) = y**2 - 21*y - 1. Let o(p) = q(p) - 5*x(p). Factor o(l).
4*l*(l + 1)*(l + 125)
Let x(c) be the second derivative of c**7/84 - c**6/8 + 3*c**5/8 + 5*c**4/12 - 5*c**3 + 82*c**2 + 215*c. Let z(r) be the first derivative of x(r). Factor z(s).
5*(s - 3)*(s - 2)**2*(s + 1)/2
Let z(u) = -u**2 + u - 2. Let q(a) = -a**3 - 6*a**2 + a + 2. Let p(i) = q(i) - 2*z(i). Determine l so that p(l) = 0.
-3, -2, 1
Let x(v) be the second derivative of 1/4*v**4 + 0*v**2 - 28*v + 0*v**3 + 0 - 3/100*v**5. What is o in x(o) = 0?
0, 5
Solve 0*o + 0 - 33/5*o**4 - 114/5*o**3 - 24*o**2 - 3/5*o**5 = 0.
-5, -4, -2, 0
Let y = 47747/17090 - -21/3418. Factor y*a**2 + 18/5 + 2/5*a**3 - 34/5*a.
2*(a - 1)**2*(a + 9)/5
Let r be ((-9)/(-2) - -1)*(-8112)/338. Let s be 10*(r/40)/(-11). Determine z, given that 3/4*z**2 - 3/4*z**s - 3/4 + 3/4*z = 0.
-1, 1
Let o(j) be the first derivative of -j**3/9 - 76*j**2/3 + 155*j - 8723. Factor o(i).
-(i - 3)*(i + 155)/3
Let d(x) be the first derivative of -1/12*x**3 + 23/4*x + 11/4*x**2 + 103. Determine a, given that d(a) = 0.
-1, 23
Let s(u) = -8*u**3 + 21*u**2 + 279*u - 554. Let t(q) = 15*q**3 - 40*q**2 - 555*q + 1110. Let c(a) = 5*s(a) + 3*t(a). Factor c(d).
5*(d - 8)*(d - 2)*(d + 7)
Factor 0 + 972/5*j**3 - 6/5*j**4 - 966/5*j**2 + 0*j.
-6*j**2*(j - 161)*(j - 1)/5
Let r = 133634 + -668168/5. Factor -r*z**5 - 8/5*z**2 + 0*z - 18/5*z**3 + 0 - 12/5*z**4.
-2*z**2*(z + 1)**2*(z + 4)/5
Let y(w) be the third derivative of w**5/140 - 139*w**4/8 - 9*w**2 - 9*w + 25. Factor y(f).
3*f*(f - 973)/7
Let o(w) = -w**3 - 3*w**2 + 2*w + 8. Let a be o(-3). Suppose -4*u + 8 = a*r, -4*u - 19 = 1. Factor -98 + r*x - 1/2*x**2.
-(x - 14)**2/2
Let u(s) be the third derivative of -s**6/60 - 7*s**5/30 + 14*s**4/3 - 16*s**3 - s**2 - 7*s + 86. Factor u(g).
-2*(g - 4)*(g - 1)*(g + 12)
Suppose -1511*s + 1510*s = -5*t + 18, 2*s + 12 = 4*t. Factor -28/5*n + 2/5*n**s + 98/5.
2*(n - 7)**2/5
Let n(p) be the first derivative of -49*p**4/20 + 161*p**3/3 + 236*p**2/5 + 68*p/5 + 1187. Factor n(s).
-(s - 17)*(7*s + 2)**2/5
Let d = -309740/3 - -103260. Determine t, given that -1/3*t**5 + 0 + 100/3*t + d*t**2 - 10/3*t**4 - 7*t**3 = 0.
-5, -2, 0, 2
Let b(u) be the third derivative of -1/72*u**6 + 0*u**3 + 1/1008*u**8 + 0*u**4 + 0*u + 1/630*u**7 + 82*u**2 + 0 + 1/60*u**5. Solve b(a) = 0.
-3, 0, 1
Let w(f) = -3*f**2 - f**3 + 10 + 32*f - 26*f + 1. Let s be w(-4). Factor -14*j**2 + 2*j**2 - 4*j**s - 2*j**2 - 2*j**2 - 4*j + 24.
-4*(j - 1)*(j + 2)*(j + 3)
Solve -149175/7*b - 1332/7*b**2 - 293046/7 - 3/7*b**3 = 0.
-221, -2
Determine f, given that 2403/4*f**3 + 15876*f + 4779*f**2 + 3/4*f**5 + 69/2*f**4 + 11664 = 0.
-12, -9, -1
Solve 1/4*x**4 + 56*x - 52 - 7/2*x**3 - 3/4*x**2 = 0.
-4, 1, 4, 13
Let o(g) be the first derivative of -g**5 + 10*g**4 + 265*g**3/3 - 150*g**2 - 2437. Factor o(p).
-5*p*(p - 12)*(p - 1)*(p + 5)
Factor 66/5*q**2 + 1/5*q**3 + 2048/5 + 1152/5*q.
(q + 2)*(q + 32)**2/5
Suppose 86 = -10*t + 106. Let d be ((-88)/(-10))/((-8)/(-100)). Solve 3*i**t - d + 0*i - 3*i + 110 = 0 for i.
0, 1
Let o be (13596/(-7931) - (-199)/14)*(4/35)/1. Determine p, given that -o + 2/7*p**3 - 2/7*p + 10/7*p**2 = 0.
-5, -1, 1
Let x = 28206 - 84598/3. Find d such that 2/9*d**2 + 0 + x*d = 0.
-30, 0
Find l, given that -769*l - 163*l - 291*l**3 + 822*l**2 + 87*l + 102*l**4 - 211*l + 480 - 54*l**4 - 3*l**5 = 0.
1, 2, 4, 5
Let g(v) = -6*v**3 - 16*v**2 + v + 6. Let z(k) = 6*k**3 + 15*k**2 - 5. Let m be 2/6 + (6 - (-12)/(-9)). Let i(o) = m*z(o) + 4*g(o). Suppose i(c) = 0. What is c?
-1, 1/6
Let m(b) be the first derivative of 5/2*b**2 - 5/3*b**3 + 0*b + 75 - 5/4*b**4 + b**5. Solve m(x) = 0.
-1, 0, 1
Let z(l) be the first derivative of -l**5/12 - 15*l**4/8 - 20*l**3/3 - 27*l**2/2 + 6. Let q(r) be the second derivative of z(r). Solve q(y) = 0 for y.
-8, -1
Let p be (9/15)/(-1)*-528. Let c = p + -316. Factor -c*f**4 - 4/5*f + 0 + 4/5*f**2 + 1/5*f**5 + 3/5*f**3.
f*(f - 2)**2*(f - 1)*(f + 1)/5
Let k = -9/5444 - -27301/48996. Suppose 5/9*m - k*m**3 + 4/9 - 4/9*m**2 = 0. Calculate m.
-1, -4/5, 1
Let a(t) be the first derivative of t**6/900 - 23*t**5/300