5*m**4/32 - 153181*m**3/12 + 76729*m**2/16 - 2452. Suppose r(p) = 0. What is p?
-277, 0, 1/4
Let m(a) = 2*a**2 - a. Let h(d) = -4*d**3 - 126*d**2 - 131*d. Let x(t) = h(t) - 3*m(t). Factor x(z).
-4*z*(z + 1)*(z + 32)
Solve -28*i**3 + 55*i**2 + 8*i**3 + 15*i**3 + 20*i - 210*i + 200 = 0.
2, 4, 5
Let c(g) = 15*g**2 - 44*g - 8. Suppose -6*n + 36 - 12 = 0. Let r(o) = 8*o**2 - 23*o - 4. Let f(s) = n*c(s) - 7*r(s). Factor f(j).
(j - 4)*(4*j + 1)
Let a(g) = -32*g + 4. Let u be a(2). Let s = 63 + u. Let x**2 - 4*x**4 + 5*x**4 + 2*x**4 - 2*x**4 + 2*x**s = 0. Calculate x.
-1, 0
Let u(v) = 72*v**5 + 140*v**4 + 76*v**3 - 4*v + 8. Let f(h) = 215*h**5 + 420*h**4 + 227*h**3 - 11*h + 22. Let y(z) = 4*f(z) - 11*u(z). Solve y(p) = 0 for p.
-18/17, -1, 0
Let t = 1/301470 + 20951587/174249660. Let p = t + -3/1156. Factor 0 - p*c - 2/17*c**2.
-2*c*(c + 1)/17
Let o = 194 - 192. Suppose -l = 3*t - 2*t - 4, -3*t = -2*l - o. Find u, given that -1/5*u**t + 4/5*u + 1 = 0.
-1, 5
Let n = 1052905/114 + -9236. Let y(v) be the second derivative of 0 + 5/57*v**3 - 2*v - 6/19*v**2 - n*v**4. Factor y(d).
-2*(d - 3)*(d - 2)/19
Let x(o) be the first derivative of 4*o**3/3 - 34*o**2 - 1080*o + 1668. Determine u so that x(u) = 0.
-10, 27
Suppose 69/4*q**3 + 0 + 963/4*q**2 - 81/2*q - 45/2*q**4 = 0. Calculate q.
-3, 0, 1/6, 18/5
Let o be (4/80)/((-45)/(-360)). Determine v, given that 0 - 4/5*v**2 + o*v**4 + 0*v + 2/5*v**3 = 0.
-2, 0, 1
Suppose -2*x + 18 = -q + 1, 2*x - 5 = 5*q. Factor -8*l**2 + x - 21 + 39*l - 7 + 3*l**3 + 0*l - 16*l**2.
3*(l - 6)*(l - 1)**2
Let l(z) be the third derivative of -z**8/105 - 2*z**7/21 + 23*z**6/90 - z**5/5 + 2*z**3/3 - z**2 + 4*z. Let q(y) be the first derivative of l(y). Factor q(d).
-4*d*(d + 6)*(2*d - 1)**2
Let d(i) be the third derivative of -i**5/240 + 21*i**4/32 + 65*i**3/12 - 204*i**2 - 2*i + 6. Let d(q) = 0. Calculate q.
-2, 65
Let a(v) be the second derivative of -v**6/225 + v**5/10 - 1043*v. Factor a(h).
-2*h**3*(h - 15)/15
Let f(b) = 25*b**3 + 5255*b**2 + 2100*b - 5. Let o(g) = 25*g**3 + 5256*g**2 + 2100*g - 4. Let s(p) = 4*f(p) - 5*o(p). Find y such that s(y) = 0.
-210, -2/5, 0
Suppose -9*f = -22*f - 9*f + 44. Let d(c) be the first derivative of -1/2*c**2 - 19 - f*c + 1/3*c**3. Suppose d(h) = 0. What is h?
-1, 2
Let o(k) = -2*k - 1. Let z be o(-2). Let i be 320/(-192)*(1 + 8/(-88) + (-348)/165). Determine p, given that -4/5*p**z - 6/5*p**i + 0*p + 0 + 2/5*p**4 = 0.
-1, 0, 3
Let h(k) = -12*k - 104. Let f be h(-9). Factor -10*z**4 + 8*z**f + 5*z**4 + 12*z**3.
3*z**3*(z + 4)
Let a(z) be the second derivative of z**7/14 - 13*z**6 + 288*z**5/5 - 191*z**4/2 + 127*z**3/2 + 3296*z. Suppose a(v) = 0. What is v?
0, 1, 127
Suppose -2*y - 12 = -3931*v + 3935*v, 0 = 4*y - 2*v - 16. Factor 108/5 + 3/5*f**3 + 6*f**y + 99/5*f.
3*(f + 3)**2*(f + 4)/5
Let d(u) = -3*u**2 - 4*u + 4. Let q(i) = 4*i**2 + 5*i - 5. Let v(o) = 5*d(o) + 4*q(o). Let k be v(3). Find t, given that -3*t**2 + 0*t**2 - 2 - k*t - 4 = 0.
-2, -1
Let a(u) be the second derivative of u**4/12 - 17*u**3/6 - 9*u**2 + 40*u - 7. What is b in a(b) = 0?
-1, 18
Let v(d) = -61*d**2 - 4000*d + 1999986. Let h(c) = -35*c**2 - 2000*c + 999992. Let x(b) = -7*h(b) + 4*v(b). What is q in x(q) = 0?
1000
Suppose 47 = 14*v - 9. Let r be 2/4 + v*(-194)/(-48). Factor r + 1/6*l**2 - 10/3*l.
(l - 10)**2/6
Let a(o) be the second derivative of -o**8/1120 + o**6/120 - o**4/16 + 7*o**3/6 - o**2/2 + 28*o - 1. Let s(q) be the second derivative of a(q). Factor s(w).
-3*(w - 1)**2*(w + 1)**2/2
Let q(x) = 5*x**3 + 12*x**2 + x - 6. Let h(u) = u**3 + 2*u**2 + u. Let t = 187 - 193. Let p(m) = t*h(m) + 2*q(m). Solve p(a) = 0 for a.
-3, -1, 1
Let c(j) = j**3 - 11*j**2 + 13*j - 27. Let i be c(10). Factor 0*u**2 + 12 - 9*u - 7*u + i*u**2 + u**2.
4*(u - 3)*(u - 1)
Let x(d) be the third derivative of 6*d**3 + 33/20*d**5 + 0 + 6*d**2 + 2*d - 7/40*d**6 + 13/2*d**4. Factor x(q).
-3*(q - 6)*(q + 1)*(7*q + 2)
Let m(v) be the second derivative of 90*v + 0 + 125/6*v**3 + 60*v**2 + 5/12*v**4. Factor m(l).
5*(l + 1)*(l + 24)
Let q(i) = -i**2 + 649*i - 101010. Let r be q(259). Let s = 3/40 - -21/40. Factor r + 9/5*m + s*m**2.
3*m*(m + 3)/5
Find n such that -233*n - 1045*n**2 - 1582*n - 25*n**3 - 2385 + 630*n**2 = 0.
-53/5, -3
Factor -6 + 1/5*k**3 - 17/5*k + 14/5*k**2.
(k - 2)*(k + 1)*(k + 15)/5
Let p(u) = -38*u - 122. Let g be p(-16). Determine y so that -15*y + 0 - g*y**2 + 483*y**2 - 18 = 0.
-3, -2
Let i = 44 + -45. Let j be (1 + 5 - 1) + i. Solve -4*t + 0*t**2 - 7*t**2 + t**3 - 4 + j*t**2 + 4*t**2 = 0 for t.
-2, -1, 2
Factor 5740816/5 - 4792/5*z + 1/5*z**2.
(z - 2396)**2/5
Let k = 261729/2 - 130863. Factor 0 + 0*i - k*i**3 + 1/2*i**2.
-i**2*(3*i - 1)/2
Let f = 443 - 363. Determine o, given that -30*o**3 - 25*o**3 + f*o**2 + 28*o**4 - 32*o**3 + 15*o**3 - 7*o**5 + 3*o**5 - 32*o = 0.
0, 1, 2
Let r(k) be the first derivative of -k**6/69 + 176*k**5/115 + 183*k**4/46 - 524*k**3/69 - 716*k**2/23 - 720*k/23 - 4115. Solve r(d) = 0.
-2, -1, 2, 90
Let a(z) be the third derivative of -z**5/90 - 107*z**4/36 + 12*z**3 + 9*z**2 + 160*z. Factor a(f).
-2*(f - 1)*(f + 108)/3
Determine x so that 1/7*x**3 + 135/7*x + 3*x**2 + 243/7 = 0.
-9, -3
Let y(h) be the first derivative of h**4/4 - 20*h**3/3 - 47*h**2/2 + 66*h + 453. Find c, given that y(c) = 0.
-3, 1, 22
Let b(d) = -55*d**3 - 5859*d**2 - 26992*d + 7186. Let f(u) = 18*u**3 + 1953*u**2 + 8997*u - 2394. Let z(v) = 6*b(v) + 19*f(v). Factor z(c).
3*(c + 5)*(c + 158)*(4*c - 1)
Factor -71*i**3 + 862*i - 21*i**3 + 2*i**4 - 2*i**2 - 364*i - 406*i.
2*i*(i - 46)*(i - 1)*(i + 1)
Let r(j) be the first derivative of j**7/1540 - 13*j**6/1980 - j**5/66 - 71*j**3/3 + 82. Let p(c) be the third derivative of r(c). Factor p(i).
2*i*(i - 5)*(3*i + 2)/11
Let b = -123361/2 + 61683. Factor 23/4*m + b*m**2 + 3 - 1/4*m**3.
-(m - 12)*(m + 1)**2/4
Let f(x) be the second derivative of x**6/60 - 79*x**5/40 + 725*x**4/8 - 23125*x**3/12 + 15625*x**2 + 802*x. Factor f(b).
(b - 25)**3*(b - 4)/2
Let w(t) be the third derivative of t**8/1680 - t**6/30 + t**5/10 + 19*t**4/120 - t**3 - 12*t**2 + 18*t. Find n, given that w(n) = 0.
-5, -1, 1, 2, 3
Let u(s) be the third derivative of -s**6/180 - 13*s**5/45 - 65*s**4/36 + 92*s**3/9 + 10*s**2 - 57*s. Factor u(v).
-2*(v - 1)*(v + 4)*(v + 23)/3
Let t(f) = -59*f**2 - 4. Let z be t(2). Let s be (-2)/(-10) - 272/z. Let 1/3*d**2 - 4/3*d - s + 1/3*d**3 = 0. Calculate d.
-2, -1, 2
Let x be -74*(-4)/96 - (1740/80 - 22). Suppose -x*u**3 + 2/3*u**4 - 72 + 54*u - 6*u**2 = 0. Calculate u.
-4, 3
Let k(o) be the first derivative of -o**6/21 - 2*o**5/35 + o**4/14 + 2*o**3/21 - 379. Factor k(q).
-2*q**2*(q - 1)*(q + 1)**2/7
Let o be 10 + ((-246)/(-3813) - (-190)/(-62)) - 4. Factor -29/2*f**o + 12 + 86/3*f + 3/2*f**4 + 17/3*f**2.
(f - 9)*(f - 2)*(3*f + 2)**2/6
Let m be (1 - 1365/(-825)) + 18/33. Let n be 34/35 + 16/(-28). Solve -n*r**3 - m*r - 8/5 - 2*r**2 = 0.
-2, -1
Let z be 6 - (9 + -2) - -11. Factor -4*b**3 + 190*b**2 - 2112*b + 441 + 758 - z*b**2 + 737.
-4*(b - 22)**2*(b - 1)
Let f(y) = -y**2 - 18*y + 20. Let h(m) be the first derivative of m + 41. Let n(z) = -2*f(z) + 2*h(z). Let n(g) = 0. Calculate g.
-19, 1
Suppose -13*y + 4323 - 4271 = 0. Suppose -3/2*s**2 + 0 + 7/2*s**3 - 5/2*s**5 + 3/2*s**y - s = 0. Calculate s.
-1, -2/5, 0, 1
Let b(v) be the third derivative of -261*v**2 + 0*v + 0*v**4 + 1/420*v**7 + 0*v**3 + 0*v**5 + 0 + 1/80*v**6. Factor b(o).
o**3*(o + 3)/2
Factor -103680 + 6804*c**2 - 597/2*c**3 - 45792*c + 17/4*c**4.
(c - 24)**3*(17*c + 30)/4
Let z(a) = a**3 - 9*a**2 + 2. Let n be z(9). Let q be ((-2)/(-8))/(264/15488). Determine w so that -4/3 - 121/3*w**n - q*w = 0.
-2/11
Suppose 937*d = 939*d - 5*b + 30, -2*d + b - 6 = 0. Let d + 3/4*u**3 + 9/4*u + 3*u**2 = 0. Calculate u.
-3, -1, 0
Let m(v) = 1026*v**2 + 14*v + 3. Let d be m(-1). Suppose d - 4160*p + 1299 - 714 - 11*p**3 + p**3 + 404*p**2 = 0. Calculate p.
2/5, 20
Suppose 2*g = 5*n + 21, -20*n + 5*g = -21*n + 12. Let p be -6 - (-59)/9 - n. Let -p + 16/9*z - 2/9*z**2 = 0. Calculate z.
4
Let w be 9/((12/(-15) - 58/(-80))*(-13 + 5)). Suppose -11/3 + w*c - 37/3*c**2 + c**3 = 0. What is c?
1/3, 1, 11
Let r(k) be the third derivative of -k**8/96 - k**7/105 + 17*k**6/240 - k**5/20 + 9*k**2 + 161*k. Determine f, given that r(f) = 0.
-2, 0, 3/7, 1
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