is o?
-1, -2/3
Let b(a) = a. Let s(m) = 6*m + 3. Let j(z) = 4*b(z) - s(z). Let d be j(-4). Factor -14*l**4 + 60*l**3 + 54*l**2 + d*l - 19*l - 6*l.
-2*l*(l - 5)*(l + 1)*(7*l - 2)
Let i(h) = h**3 - 11434*h**2 - 14516112*h - 6145149008. Let m(r) = 2*r**3 - 11435*r**2 - 14516115*r - 6145149010. Let g(d) = 5*i(d) - 4*m(d). Factor g(j).
-3*(j + 1270)**3
Let m = 401129/70189 - 7/10027. Factor m - 2/7*y**2 + 2/7*y.
-2*(y - 5)*(y + 4)/7
Let v(m) be the second derivative of 0*m**2 - 7 - 1/4*m**4 + 3/2*m**3 + 5*m. Solve v(j) = 0.
0, 3
Let k(f) be the third derivative of f**6/900 + 7*f**5/300 + f**4/5 - 49*f**3/6 + 3*f**2 - 4. Let y(u) be the first derivative of k(u). Factor y(n).
2*(n + 3)*(n + 4)/5
Let x(f) = -6*f**2 + 15*f**2 - 672 + f + 335 + 11*f**3 + 334. Let v(l) = 0*l**2 + 80*l**2 + 4*l + 4*l + 98*l**3 - 26. Let i(d) = 6*v(d) - 52*x(d). Factor i(w).
4*w*(w + 1)*(4*w - 1)
Let u = -449 + 668. Let q = u - 217. What is a in -6*a - 1 - 25/4*a**3 - 45/4*a**q = 0?
-1, -2/5
Factor -332*o**2 + 350*o**2 + 114*o - 167*o + 2*o**3 - 271*o.
2*o*(o - 9)*(o + 18)
Let a(p) = -p**2 - 4*p + 15. Let u be a(2). Let w(t) be the third derivative of -1/120*t**5 + 1/6*t**u + 0 + 0*t - 3*t**2 - 1/48*t**4. What is c in w(c) = 0?
-2, 1
Factor -1468*x - 5*x**3 - 478*x**2 + 1468*x + 7778*x**2.
-5*x**2*(x - 1460)
Suppose -133 = 7*i + 203. Let p be -15*8/(-12)*i/(-360). Determine h, given that 9/2*h**5 + 8*h - 12*h**3 - 9/2*h**4 + p*h**2 + 8/3 = 0.
-2/3, 1, 2
Let k be (-660)/(-82) + (-48)/1968*2. Suppose k*h - 25*h**4 + 2 - 3/2*h**2 - 65/2*h**3 = 0. Calculate h.
-1, -2/5, 1/2
Let j(p) be the first derivative of -p**6/18 - 101*p**5/15 - 3013*p**4/12 - 11359*p**3/9 + 220409*p**2/3 - 810448*p/3 - 7076. Determine c so that j(c) = 0.
-37, 2, 8
Let b be 2*(5 - 4)*1 + 28. Find q, given that 3*q**3 + 2*q**2 - 32*q**2 + b + 753*q - 756*q = 0.
-1, 1, 10
Factor -146/17*k - 14/17*k**2 - 130/17 + 2/17*k**3.
2*(k - 13)*(k + 1)*(k + 5)/17
Let w(u) be the second derivative of -u**5/40 + 5*u**4/8 + 73*u**3/12 + 57*u**2/4 - 85*u. Factor w(x).
-(x - 19)*(x + 1)*(x + 3)/2
Let o(x) = x**3 + 22*x**2 + 55*x - 147. Let a be o(-5). Suppose 24/5*f - 16/5 - 1/5*f**5 + 9/5*f**4 - 23/5*f**a + 7/5*f**2 = 0. What is f?
-1, 1, 4
Let i(n) = -16*n**3 + 160*n**2 - 1046*n + 866. Let t(p) = -78*p**3 + 800*p**2 - 5231*p + 4335. Let y(b) = -29*i(b) + 6*t(b). Factor y(m).
-4*(m - 32)*(m - 7)*(m - 1)
Let y(c) be the first derivative of 3*c**5/5 - 1863*c**4/4 + 96720*c**3 - 144150*c**2 - 1717. Let y(s) = 0. Calculate s.
0, 1, 310
Let h = -831 - -828. Let r(t) = -t**3 - 4*t**2 - 11*t - 24. Let c be r(h). Suppose 0*o + 1/5*o**3 - 1/5*o**4 + c + 1/5*o**2 - 1/5*o**5 = 0. What is o?
-1, 0, 1
Let u be ((-16)/2)/(-1) - -16*36/288. Let y(i) be the first derivative of u*i**5 + 0*i - 25 + 25/2*i**3 + 165/8*i**4 + 5/2*i**2. Determine b so that y(b) = 0.
-1, -2/5, -1/4, 0
Let u(x) be the first derivative of -x**5/2 + 35*x**4/2 - 355*x**3/2 + 1575*x**2/2 - 1620*x + 3772. Solve u(f) = 0.
3, 4, 18
Let n(c) be the first derivative of 2*c**5/5 + 14*c**4 + 442*c**3/3 + 338*c**2 + 12727. Factor n(s).
2*s*(s + 2)*(s + 13)**2
Let x(b) be the first derivative of -b**5/15 - 11*b**4/6 - 20*b**3/3 + b**2/2 + 4*b + 10. Let m(f) be the second derivative of x(f). Factor m(u).
-4*(u + 1)*(u + 10)
Factor 309123 - 3849/4*u**2 + 308160*u + 3/4*u**3.
3*(u - 642)**2*(u + 1)/4
Let n(b) be the first derivative of -b**5/30 + 5*b**4/9 - 115*b + 303. Let a(o) be the first derivative of n(o). Solve a(s) = 0 for s.
0, 10
Suppose -15 = -d - 3*c, 22*d + 2*c = 20*d + 14. Let s(m) be the first derivative of 9 + 2/21*m**d - 2/7*m + 1/7*m**2 - 1/14*m**4. Factor s(x).
-2*(x - 1)**2*(x + 1)/7
Let z = -93023 + 93023. Let -2*r**3 + 0 - 13/3*r**4 + 0*r - 5/3*r**5 + z*r**2 = 0. What is r?
-2, -3/5, 0
Let u = -267286/5 + 53460. Solve 13/5*a + 1/5*a**2 - u = 0 for a.
-14, 1
Solve -28/3*z - 4*z**3 + 0 - 2/9*z**4 + 122/9*z**2 = 0.
-21, 0, 1, 2
Let y(x) be the second derivative of -x**7/14 - 3*x**6/5 + 189*x**5/20 - 28*x**4 - 18*x**3 + 216*x**2 + 16*x - 2. Solve y(w) = 0 for w.
-12, -1, 2, 3
Factor 11/2*i**3 - 5/3*i**4 - 22/3*i**2 + 10/3*i + 0 + 1/6*i**5.
i*(i - 5)*(i - 2)**2*(i - 1)/6
Let j(l) = -l**2 + 7192*l - 12880919. Let a(u) = -13*u**2 + 93503*u - 167451946. Let s(k) = -2*a(k) + 27*j(k). What is i in s(i) = 0?
3589
Let p(n) be the second derivative of 20/3*n**3 + 16*n**2 - 1/5*n**5 + 73*n + 1/3*n**4 + 0. Let p(y) = 0. What is y?
-2, -1, 4
Let y(w) be the first derivative of -w**5/15 - w**4/2 - w**3 - 2*w**2/3 + 5728. Factor y(n).
-n*(n + 1)**2*(n + 4)/3
Let d(m) be the second derivative of m**4/2 - 53*m**3/6 - 59*m**2/2 + 46*m + 2. What is v in d(v) = 0?
-1, 59/6
Let g(f) be the third derivative of f**7/70 - 9*f**6/10 + 17*f**5/10 + 9*f**4/2 - 35*f**3/2 - 122*f**2 + 13*f. Factor g(z).
3*(z - 35)*(z - 1)**2*(z + 1)
Factor -n**2 + 1918 - 47*n + 407*n - 22707 - 11611.
-(n - 180)**2
Let s(m) = -41*m - 1431. Let j be s(-35). Let n(t) be the first derivative of -6*t - 15/2*t**2 - 2 - 2*t**3 + 12/5*t**5 + 3*t**j + 1/2*t**6. Factor n(r).
3*(r - 1)*(r + 1)**3*(r + 2)
Let m(g) be the first derivative of -10*g**2 + 281 + 24*g + 4/3*g**3. Determine t so that m(t) = 0.
2, 3
Let g = 12042941/3387078 - -1/1129026. Solve 10/9*u**2 + 28/3*u + g = 0 for u.
-8, -2/5
What is z in -605181*z**2 - 64*z + 605266*z**2 - 14*z**3 - 16*z + 15 - 6*z**3 = 0?
1/4, 1, 3
Let i = 382 - 387. Let t be ((((-5)/(-2))/i)/2)/(-1). Find p such that 1/2*p**2 + 3/2*p**3 - 3/4*p - 1/4*p**4 - t - 3/4*p**5 = 0.
-1, -1/3, 1
Let v(n) be the second derivative of n**7/126 - 2*n**6/45 + n**5/60 + n**4/6 + 4*n - 217. Factor v(g).
g**2*(g - 3)*(g - 2)*(g + 1)/3
Let c(v) = -10*v**2 - 6*v - 2. Let f be c(-2). Let n = f - -33. Suppose -6*o**4 + n*o**5 + 5*o**2 + 19*o**2 + 0*o**2 - 25*o + 4*o + 6 - 6*o**3 = 0. Calculate o.
-2, 1
Let p(c) = c**2 + 9. Let a be p(-3). Suppose -15*r - 15 = -a*r. Factor -12*u**5 + 0 + 0 + 9*u**r + 6*u**4.
-3*u**4*(u - 2)
Let n(s) = -20*s**2 + 15*s. Suppose -66*j + 490 = 18*j + 14*j. Let k(w) = 38*w - 21*w**2 - 9*w**2 - 15*w. Let d(b) = j*k(b) - 8*n(b). Find f such that d(f) = 0.
0, 1/2
Suppose -8*t = -q - 10*t + 30, -90 = -4*q + 2*t. Solve -20*v**2 + q*v - 5*v**3 - 4*v - 107*v**4 + 112*v**4 = 0.
-2, 0, 1, 2
Let u(o) = 2*o + 28. Let r be u(-12). Suppose 8*n**3 - 79*n**4 + 10*n**r + 16*n**4 + 20*n**2 + 33*n**4 - 8*n = 0. Calculate n.
-1, 0, 2/5, 1
Let a = -39855/74 + 25422/37. Factor -3/2*u**3 - a*u + 243/2 + 57/2*u**2.
-3*(u - 9)**2*(u - 1)/2
Suppose -49 = -7*m, -4*g = -0*g - 5*m - 39 + 62. What is n in 4/9*n**4 - 4/3*n**g + 4/3*n - 8/9 + 4/9*n**2 = 0?
-1, 1, 2
Let f(o) = 42*o**2 - 54*o + 34. Let v(j) = 15*j**2 - 18*j + 11. Let y(l) = -4*f(l) + 11*v(l). What is h in y(h) = 0?
1, 5
Let h = 109 - 95. Solve -h*p**2 - 3*p**4 - 172*p + 151*p + 53*p**2 - 15*p**3 = 0.
-7, 0, 1
Suppose -45*m - 59 + 227*m + 4*m**2 + 53*m = 0. Calculate m.
-59, 1/4
Factor -71*t**2 + 1/3*t**3 + 0 + 212/3*t.
t*(t - 212)*(t - 1)/3
Suppose 4293*t - 4326*t = -132. Let p(l) be the first derivative of -6/5*l**2 + 0*l + 12 + 3/5*l**3 + 3/20*l**t. Factor p(d).
3*d*(d - 1)*(d + 4)/5
Let s(v) = 5*v**3 - 116*v**2 + 32*v - 207. Let i be s(23). Factor 0 - 51/5*r**2 + 3/5*r**3 + i*r.
3*r**2*(r - 17)/5
Let c(m) be the first derivative of 35*m**4/4 - 920*m**3/3 + 2230*m**2 - 1200*m - 3543. Factor c(x).
5*(x - 20)*(x - 6)*(7*x - 2)
What is f in f**2 + 120021*f + 162450 + f**2 - 121161*f = 0?
285
Let d(i) be the second derivative of -33/5*i**5 - 9*i - 675/2*i**2 - 181/4*i**4 - 2/5*i**6 - 165*i**3 - 1. Factor d(n).
-3*(n + 3)**2*(2*n + 5)**2
Let y(q) = -q - 12. Let n be y(-14). Let m(i) = -i**2 - 7*i - 3. Let x be m(-5). Factor -x*r**2 + n*r**2 + 0*r**2 - 2*r**4 + 7*r**4.
5*r**2*(r - 1)*(r + 1)
Suppose 59*k - 378*k + 1 = 1. Let -14/5*o**3 - 8/5*o + k + 8*o**2 - 18/5*o**4 = 0. What is o?
-2, 0, 2/9, 1
Let o(m) be the second derivative of m**5/45 + 5*m**4/27 - 22*m**3/9 + 6*m**2 - 6198*m. Factor o(n).
4*(n - 3)*(n - 1)*(n + 9)/9
Let g(c) be the third derivative of -c**6/120 + 319*c**5/20 - 101761*c**4/8 + 32461759*c**3/6 + 2*c**2 + 89. Suppose g(r) = 0. Calculate r.
319
Let n(z) = -5*z - 58. Let y be n(-13). Let x be 21/(-147) - (-1)/y. Factor 6/7*f + x + 2/7*f**2.
2*f*(f + 3)/7
Let x(u) be the third derivative of u**6/180 + u**5/15 - 5*u**4