 m - 5/3*u**4 - 10*u**3 - 15*u**2 - 20/3*u = 0?
-4, -1, 0
Determine n, given that 856*n + 0 + 110*n**4 + 648*n**3 + 1288*n**2 + 1/2*n**5 = 0.
-214, -2, 0
Let v(o) = 7*o**3 + 506*o**2 + 8499*o + 8138. Let w(p) = -3*p**3 - 217*p**2 - 3642*p - 3488. Let t(y) = -10*v(y) - 23*w(y). Factor t(i).
-(i + 1)*(i + 34)**2
Let x(v) be the third derivative of v**5/80 + 43*v**4/16 + 85*v**3/8 - 3542*v**2 + v. Find m such that x(m) = 0.
-85, -1
Let n(t) be the second derivative of -t**4/4 + 87*t**3/2 - 255*t**2 - 5*t + 47. Factor n(v).
-3*(v - 85)*(v - 2)
Suppose -34 + 24 = 5*o. Let q = o - -22. Factor q*a**3 - 2*a - a**2 - 3*a**2 - 2*a - 12*a**2.
4*a*(a - 1)*(5*a + 1)
Let v be (28/10)/(-2) + (-153229)/(-11435) - 12. Suppose 4/3*m**5 - 8/3*m**2 + v*m + 0 + 0*m**4 - 4*m**3 = 0. What is m?
-1, 0, 2
Let q(i) be the first derivative of 3/4*i**4 - 3/2*i**2 - 103 + 5/3*i**3 - 4*i - 1/5*i**5. Let q(z) = 0. What is z?
-1, 1, 4
Let j(n) = n**3 + 57*n**2 - 333*n - 15683. Let f(i) = -3*i**3 - 164*i**2 + 1000*i + 47048. Let p(q) = 3*f(q) + 8*j(q). Let p(x) = 0. Calculate x.
-28, 20
Let p(b) be the second derivative of 3*b**5/20 + 13*b**4/4 - 29*b**3/2 + 45*b**2/2 - 1832*b. Factor p(f).
3*(f - 1)**2*(f + 15)
Suppose 60*z + 132 - 344 = -46*z. Let t(i) be the third derivative of 0*i**4 + 0 + 2*i**z + 0*i**3 - 1/30*i**5 + 0*i. Factor t(p).
-2*p**2
Let u be (-2 - -2 - 1)/(-2 + 3). Let a be u*(-2)/8 - 624/(-64). Solve -7*q**5 - q**3 + 36*q**4 + 31*q**4 - a*q**3 + 2*q**2 - 51*q**4 = 0 for q.
0, 2/7, 1
Let d(z) be the first derivative of -z**6/3 - 51*z**5/5 - 167*z**4/2 - 264*z**3 - 216*z**2 + 459*z + 2740. Factor d(j).
-(j + 3)**3*(j + 17)*(2*j - 1)
Let d be (-14)/(-4)*(-28)/(-98). Let j be 15/25*(4 + d). Find t, given that -5*t - 8*t**3 + t - 12*t**j - 32*t**2 + 8 = 0.
-1, 2/5
Factor 1089/8 + 3/8*n**2 - 93/2*n.
3*(n - 121)*(n - 3)/8
Suppose -6 = -39*u + 36*u. Find f, given that f**u + 0*f - f - 2*f = 0.
0, 3
Let p = -387 - -386. Let l(k) = 16*k**3 - 64*k**2 + 36*k + 18. Let o(t) = -t**3 - t**2 - 1. Let i(r) = p*l(r) - 2*o(r). Factor i(d).
-2*(d - 4)*(d - 1)*(7*d + 2)
Let b(p) be the first derivative of p**4/22 - 280*p**3/33 - 427*p**2/11 - 52*p + 5175. Let b(q) = 0. What is q?
-2, -1, 143
Let f(z) be the first derivative of 1/21*z**3 + 68 - 8/7*z + 1/7*z**2. Solve f(v) = 0 for v.
-4, 2
Let w(b) be the second derivative of 3*b**5/20 + b**4/4 - 7*b**3 - 36*b**2 - 2*b + 320. Factor w(q).
3*(q - 4)*(q + 2)*(q + 3)
Let k(u) be the first derivative of -5*u**6/6 - 41*u**5/4 + 44*u**4/3 - 6*u**3 + 61*u + 83. Let h(r) be the first derivative of k(r). Factor h(t).
-t*(t + 9)*(5*t - 2)**2
Let y(j) be the first derivative of 7*j**4/3 + 328*j**3/9 + 106*j**2/3 - 88*j/3 - 190. Factor y(p).
4*(p + 1)*(p + 11)*(7*p - 2)/3
Let v = -22828 - -958777/42. Let s(d) be the second derivative of -31*d + 1/84*d**4 - 3/7*d**2 - v*d**3 + 0. Factor s(r).
(r - 3)*(r + 2)/7
Let r = -575 + 573. Let m(b) = b**2 + 63*b + 1092. Let p(l) = -l**2 - 64*l - 1091. Let o(q) = r*m(q) - 3*p(q). What is j in o(j) = 0?
-33
Let o be 0/((-720)/200 + 3/5). Let a(v) be the first derivative of 6 - 3/5*v**5 + 4*v**3 + o*v + 12*v**2 - 3/2*v**4. Find c, given that a(c) = 0.
-2, 0, 2
Let l be (1 + 1/2)*(-320)/600*-5. Let -480*v - 5656/3*v**3 + 588*v**l - 1744*v**2 - 128/3 = 0. What is v?
-2/7, -2/9, 4
Let f(o) = -o**3 - o**2 + o - 1. Let x(j) = -2*j**3 - 106*j**2 + 403*j - 399. Let w(b) = 3*f(b) - x(b). Find g such that w(g) = 0.
2, 99
Let b(h) be the third derivative of h**6/40 - h**5/5 - 3*h**4/2 + 75*h**2 - 4. Factor b(v).
3*v*(v - 6)*(v + 2)
Let q(t) be the third derivative of -t**6/280 - t**5/70 - 2595*t**2. Find h such that q(h) = 0.
-2, 0
Let w(m) be the first derivative of -13 + 4/3*m**2 - 8/3*m + 2/9*m**3 - 1/6*m**4. Determine c, given that w(c) = 0.
-2, 1, 2
Let m(a) = a**4 + a**3 - 2*a**2. Let x(y) = -4*y**4 - 65*y**3 - 113*y**2 - 62*y. Let f(p) = -5*m(p) - x(p). Factor f(n).
-n*(n - 62)*(n + 1)**2
Let d(v) be the second derivative of -v**5/90 + 11*v**4/18 - 62*v**3/27 - 2*v + 811. Determine o so that d(o) = 0.
0, 2, 31
Let u be (9/(-81))/((-15)/27). Let t(w) be the first derivative of -u*w**4 - 16 + 4/5*w**3 + 4/5*w - 6/5*w**2. Factor t(p).
-4*(p - 1)**3/5
Factor -2/3 + 637/6*r**2 - 212*r.
(r - 2)*(637*r + 2)/6
Suppose 6*v - 2*r - 14 = 0, -3*v - 2*r - 30 + 16 = 0. Factor -36/7*u + 22/7*u**2 - 2/7*u**3 + v.
-2*u*(u - 9)*(u - 2)/7
Let c(a) be the third derivative of 2*a**5/15 + 475*a**4/12 - 119*a**3/3 + 2*a**2 - a + 203. Factor c(l).
2*(l + 119)*(4*l - 1)
Suppose -2*b - 16 = -6*b. Suppose -6*c + b + 104 = 0. Let -26 + c - 56 - x**3 - 48*x - 12*x**2 = 0. What is x?
-4
Let q be (1 + (-6)/(-90))*9. Factor -q*h - 10 + 2/5*h**2.
2*(h - 25)*(h + 1)/5
Let r(k) be the first derivative of -45 - 2/9*k**3 - 1/27*k**6 + 2/9*k**2 + 2/15*k**5 + 0*k - 1/18*k**4. Let r(n) = 0. What is n?
-1, 0, 1, 2
Let l be (-6)/45 - 124*3/(-90). Suppose 5 = l*d + 5*x, d + 2*x - 4 = -2*x. Solve -6/11*f**2 - 6/11*f + d = 0.
-1, 0
Suppose 1218*o - 689 = 2965. Factor -3/4*r**4 - 9/4*r**2 + 0 - 5/2*r**o - 1/2*r.
-r*(r + 1)*(r + 2)*(3*r + 1)/4
Let o(q) be the second derivative of -q**6/55 - 13*q**5/110 + 97*q**4/66 - 43*q**3/33 - 150*q**2/11 + 253*q + 12. What is c in o(c) = 0?
-25/3, -1, 2, 3
Let x(p) = 7*p**3 - 181*p**2 + 617*p + 229. Let y(a) = 4*a**3 - 90*a**2 + 308*a + 114. Let b(m) = 4*x(m) - 10*y(m). Suppose b(t) = 0. Calculate t.
-1/3, 7, 8
Let n = 757 + -756. Let z be 1035/(-690) + n + 1/2. Let 0 + z*i**4 + 2/15*i + 0*i**2 - 4/15*i**3 + 2/15*i**5 = 0. What is i?
-1, 0, 1
Let l(c) be the first derivative of c**4/16 + 37*c**3/6 + 145*c**2/8 + 18*c + 2024. Solve l(v) = 0.
-72, -1
Let t be 1/(9657/20938) - 4/(-74). Factor 2/9*s**2 - t + 2*s.
2*(s - 1)*(s + 10)/9
Suppose -5*v - 464 = 146. Let p = v + 125. Find z such that 24*z**4 + 15*z**p + 24*z**4 + 4*z**2 - 5*z**3 - 46*z**4 - 16*z = 0.
-4, -2, 0, 1
Let k(w) = -w**4 - w**3 + w. Let v(f) = -3*f**4 + 5*f**3 + 12*f**2 + 5*f. Suppose 21 + 44 = -13*r. Let j(o) = r*k(o) + v(o). Solve j(i) = 0.
-3, -2, 0
Suppose 297/4*u**3 - 471/8*u**4 + 0 - 119/8*u**2 - 1/2*u**5 + 0*u = 0. Calculate u.
-119, 0, 1/4, 1
Let t(k) be the third derivative of 0*k**3 + 1/15*k**5 + 49*k**2 + 0*k + 0 + 2*k**4. Factor t(o).
4*o*(o + 12)
Let t(b) be the second derivative of -11*b**4/114 - 1058*b**3/57 - 192*b**2/19 + 2110*b. Factor t(n).
-2*(n + 96)*(11*n + 2)/19
Suppose 2*k - s - 5 = 0, 5*k = -26*s + 31*s + 10. Factor -t**k + 10*t**2 + 5*t + 3 - 22*t**2 - 4*t + 9.
-(t - 1)*(t + 1)*(t + 12)
Let i = -589 + 597. Determine y so that -5*y + 2*y**2 + 14*y + 2*y**4 + 8*y**3 - 13*y - i*y = 0.
-3, -2, 0, 1
Let -3*p**3 - 47*p**2 - 697 - 353 + 531*p + 569*p**2 = 0. What is p?
-2, 1, 175
Suppose t + 2*b - 14 = 0, 5*b + 22 = 2*t + 39. Suppose 5*m + 20 = -3*w, -t*w + 3*m = 2 - 14. Factor -1/3*z**4 + 0*z**2 + w - 5/3*z**3 + 0*z.
-z**3*(z + 5)/3
Let k(h) be the third derivative of 0*h**4 + 1/90*h**5 + 81*h**2 + 0 + 1/180*h**6 + 0*h**3 - h. Factor k(j).
2*j**2*(j + 1)/3
Factor 4771 + 600*g - 3*g - 9101 + 4924 - 6*g**3 - 1185*g**2.
-3*(g - 1)*(g + 198)*(2*g + 1)
Let f(r) be the first derivative of -r**3 + 1092*r**2 - 3360. Suppose f(n) = 0. What is n?
0, 728
Let y = 850 - 845. Factor 12*p**2 + 7*p - 3*p**5 + 6*p**3 - 10*p + 0*p**y - 12*p**2.
-3*p*(p - 1)**2*(p + 1)**2
Suppose 34*c - 126 - 78 = 0. Suppose c*o = -47*o. Determine b, given that 0*b + 2*b**4 + o - 2/3*b**5 - 2*b**2 + 2/3*b**3 = 0.
-1, 0, 1, 3
Let x(o) be the first derivative of o**3/6 + 50*o**2 + 199*o/2 + 10207. Factor x(g).
(g + 1)*(g + 199)/2
Solve -3586 - 1264 + 5*z**2 + 7930 - 1550*z = 0.
2, 308
Let t(b) = 5*b - 7. Let u be t(2). Solve 59 + 1100*g + 546 + 44*g**2 - 100*g**3 + 2*g**4 + u*g**4 + 346*g**2 = 0.
-1, 11
Let p be 6/(-23) - 151173/(-175605). Solve -36/5 - 12/5*n + 27/5*n**2 + p*n**4 + 18/5*n**3 = 0.
-3, -2, 1
Factor 0 - 160/9*v**4 + 4/3*v**5 - 169/9*v**2 + 0*v + 559/9*v**3.
v**2*(2*v - 13)**2*(3*v - 1)/9
Let n = 425 - 300. Let a be ((-90)/n)/(6*1/(-20)). What is t in -a*t**3 + 8/5 + 26/5*t**2 + 2/5*t**4 - 24/5*t = 0?
1, 2
Factor -117/2 - 189/4*q + 1/4*q**3 - 17/2*q**2.
(q - 39)*(q + 2)*(q + 3)/4
Let j(i) = 10*i - 124. Let n be j(12). Let t(u) = 10*u**2 - 10*u + 2. Let q(r) = r**2. Let y(m) = n*q(m) + 2*t(m). Factor y(o).
4*(o - 1)*(4*o - 1)
Determine f, given that 7254