Factor j(f).
-4*(f - 54)**2*(f + 3)**2/5
Let n(o) = 100*o**2 + 2065*o + 22090. Let a(u) = 9*u**2 + 188*u + 2008. Let m be -10*21/(-14)*9/(-3). Let t(i) = m*a(i) + 4*n(i). Factor t(s).
-5*(s + 20)**2
Suppose 13 = 4*r + 5*p, 3*p - 2 = 3*r - 5. Suppose -8 = -r*z - 2*z. Solve 0*n + 2/7 - 2/7*n**z = 0.
-1, 1
Factor -21292*f + 3*f**3 + 17923*f + 17413 + 51911*f + 42283*f + 74462 - 1047*f**2.
3*(f - 175)**2*(f + 1)
Let q(l) be the third derivative of 0*l**3 - 11*l - 1/72*l**4 + 0 - 7/720*l**6 + 2*l**2 + 1/24*l**5. Factor q(t).
-t*(t - 2)*(7*t - 1)/6
Factor 0 - 275/6*g**3 + 5/6*g**4 - 265/6*g + 535/6*g**2.
5*g*(g - 53)*(g - 1)**2/6
Let w(d) = 8*d**4 - 18*d**3 + 46*d**2 - 24*d - 15. Let t(v) = -15*v**4 + 36*v**3 - 90*v**2 + 48*v + 27. Let n(z) = -5*t(z) - 9*w(z). What is o in n(o) = 0?
0, 2
Let j be 2/(-2)*-1*(-58 - (-6125)/98). Find p such that j*p - 3/2*p**2 - 1/2*p**3 + 0 + 1/6*p**4 = 0.
-3, 0, 3
Let x(w) be the first derivative of -w**5/450 - w**4/60 + 2*w**3/9 - 25*w**2/2 + 2*w + 49. Let a(c) be the second derivative of x(c). Solve a(r) = 0.
-5, 2
Let h(u) be the third derivative of u**6/480 + u**5/30 - 2*u**4/3 - 64*u**3/3 - 381*u**2. Find d, given that h(d) = 0.
-8, 8
Let f(u) be the first derivative of 6/5*u**4 - 49 + 0*u + 14/15*u**3 + 1/5*u**2. Suppose f(k) = 0. Calculate k.
-1/3, -1/4, 0
Let z = 1881 - 3562. Let u = z + 5044/3. Factor -u*f**2 - 26/3*f - 169/3.
-(f + 13)**2/3
Let i = -52 - -63. Suppose 2*l - 2 + 6 = 0, 2*l - i = -5*q. Factor g**q - 297*g - 2*g**2 + 2*g**2 + 296*g.
g*(g - 1)*(g + 1)
Let z = 587412 - 587348. Factor 12*t**2 + z*t + 256/3 + 2/3*t**3.
2*(t + 2)*(t + 8)**2/3
Let z(q) be the third derivative of 124/21*q**3 + 5/168*q**6 + 13/6*q**4 - 2*q**2 + 29/70*q**5 - 1/1470*q**7 + 0*q - 59. Factor z(h).
-(h - 31)*(h + 2)**3/7
Let m(n) be the first derivative of 59 + 0*n**2 + 4*n - 4/3*n**3. Let m(f) = 0. What is f?
-1, 1
Let f(w) = -9*w**3 - 11*w**2 - 10*w + 4. Let v(n) = 4*n**3 + 5*n**2 + 5*n - 2. Suppose 0 = -107*a + 110*a + 18. Let l(h) = a*f(h) - 13*v(h). Factor l(t).
(t - 1)*(t + 2)*(2*t - 1)
Let p = -50 - -43. Let z be ((-35)/10)/p*17/85. Let z*n**2 + 3/10*n + 0 = 0. What is n?
-3, 0
Factor 160*g**2 - 25*g**3 + 9*g**4 + 11*g**3 - 55*g**3 - 4*g**4 - 3840 + 1280*g - 11*g**3.
5*(g - 12)*(g - 4)**2*(g + 4)
Factor -4/11 + 18/11*v**2 - 14/11*v.
2*(v - 1)*(9*v + 2)/11
Factor 12*p**3 + 1092 - 10696*p + 14512*p + 0*p**2 - 232*p**2 - 1973*p**2.
3*(p - 182)*(p - 2)*(4*p + 1)
Let a(z) be the third derivative of 1/60*z**5 - 2/3*z**3 + 0 + 0*z - 19*z**2 - 1/120*z**6 + 1/6*z**4. Solve a(d) = 0.
-2, 1, 2
Let n(g) be the third derivative of -243*g**6/200 + 99*g**5/20 - 119*g**4/15 + 98*g**3/15 + 27*g**2 - 8*g - 2. Factor n(h).
-(h - 1)*(27*h - 14)**2/5
Let h(g) be the first derivative of -10 + 3/2*g**2 + 6*g - 3*g**3. Factor h(j).
-3*(j - 1)*(3*j + 2)
Let i(l) be the second derivative of 0*l**3 + 0*l**2 + 1/140*l**5 + 25/84*l**4 + 0 - 90*l. Determine q, given that i(q) = 0.
-25, 0
Factor 0 + 2/5*n**5 - 2*n**2 + 0*n + 22/5*n**3 - 14/5*n**4.
2*n**2*(n - 5)*(n - 1)**2/5
Factor -972*t + t**2 + 35739 + 200457 - 2*t**2 + 2*t**2.
(t - 486)**2
Let r(p) = 2*p**2 + 314*p + 52. Let m(k) = -64*k + 1. Let j(i) = 4*m(i) + r(i). Factor j(x).
2*(x + 1)*(x + 28)
Let l(u) be the first derivative of -u**3/7 - 69*u**2/7 - 117*u - 2607. Let l(a) = 0. What is a?
-39, -7
Let b(g) be the first derivative of -g**4/4 + 25*g**3 - 144*g**2 + 284*g - 907. Determine n so that b(n) = 0.
2, 71
Factor 208 - 2/9*n**2 + 932/9*n.
-2*(n - 468)*(n + 2)/9
Let z(l) = 3*l**3 + 6*l**2 - 306*l + 3. Let w(k) = -6*k**3 - 12*k**2 + 609*k - 5. Let b(x) = -3*w(x) - 5*z(x). Solve b(m) = 0.
-11, 0, 9
Let n(f) be the third derivative of -f**7/42 - 11*f**6/12 + 23*f**5/12 + 63*f**2 - 12*f. Factor n(b).
-5*b**2*(b - 1)*(b + 23)
Let c(i) = 39*i**2 + 469*i + 118. Let j(g) = 350*g**2 + 4220*g + 1065. Suppose -3*z + 20 = -2*r, -4 = 3*r + 5*z - 3*z. Let x(m) = r*j(m) + 35*c(m). Factor x(t).
-5*(t + 13)*(7*t + 2)
Let r(m) be the second derivative of m**4/28 + 93*m**3/7 + 7011*m. Factor r(l).
3*l*(l + 186)/7
Let t = -653 + 653. Suppose t = 7*o + 6*o + 23*o. Solve 0*c**2 + 0*c - 8/7*c**4 - 4/7*c**3 - 4/7*c**5 + o = 0.
-1, 0
Let h = -1546 + 1542. Let t be h/(-7) - (16 + (-732)/42). Factor 96/5*q - 4/5 - 105*q**t - 125*q**3.
-(q + 1)*(25*q - 2)**2/5
Factor -48/11 + 28/11*g + 2/11*g**2 - 2/11*g**3.
-2*(g - 3)*(g - 2)*(g + 4)/11
Let k = 73 + -72. Let c(q) = q**3 - q**2 + q + 2. Let s(d) = 56*d**2 - 188*d + 184. Let p(x) = k*s(x) - 4*c(x). Factor p(o).
-4*(o - 11)*(o - 2)**2
Let q be ((-54)/(-360))/((-22)/(-264)). Let n(s) be the second derivative of 8/15*s**4 - 37*s + q*s**2 + 0 + 8/5*s**3. Find z such that n(z) = 0.
-3/4
Let a = 474376 + -474373. Factor 98/15*d**2 + 24/5 - 8/15*d**a - 104/5*d.
-2*(d - 6)**2*(4*d - 1)/15
Let m(h) = -h**2 + 56753 - 3670*h + 15177 + 52*h**2 + 29*h**2. Let n(g) = -9*g**2 + 408*g - 7992. Let s(f) = 4*m(f) + 35*n(f). Factor s(u).
5*(u - 40)**2
Let g(k) be the third derivative of -12*k**2 + 1/28*k**7 + 4 + 0*k + 1/448*k**8 + 5/4*k**3 - 1/80*k**6 + 1/32*k**4 - 1/4*k**5. Let g(n) = 0. What is n?
-10, -1, 1
Solve -716794 + 1105672*i - 3*i**4 - 327979*i**2 + 50896*i**2 + 322616*i - 703238 + 2076*i**3 - 86193*i**2 = 0.
2, 344
Let x(a) be the third derivative of a**7/70 - 93*a**6/40 + 1691*a**5/20 + 22593*a**4/8 + 10404*a**3 - 6760*a**2. Factor x(v).
3*(v - 51)**2*(v + 1)*(v + 8)
Suppose 0 = -5*m + 3*p - 5*p, 0 = -m - 2*p. Suppose m = 4*v + 22 - 22. Factor 1/2*x**2 + 1/4*x**3 + v + 1/4*x.
x*(x + 1)**2/4
Suppose 0 = 13*i + 9943 - 2234. Let u = 2979/5 + i. Factor u*v**2 + 1/5*v**3 + 12*v + 72/5.
(v + 2)*(v + 6)**2/5
Let o(d) = 429*d - 65632. Let b be o(153). Factor b*j - 5/3*j**3 + 0 + 10/3*j**2.
-5*j*(j - 3)*(j + 1)/3
Factor 1137/8*g + 3/8*g**3 - 567/8 - 573/8*g**2.
3*(g - 189)*(g - 1)**2/8
Let u(g) be the second derivative of g**5/10 - 35*g**4/2 + 407*g**3/3 - 303*g**2 - 3*g + 35. Determine q, given that u(q) = 0.
1, 3, 101
Let u(r) be the first derivative of 20*r**6/9 - 18*r**5/5 - 19*r**4/6 + 22*r**3/3 - r**2/3 - 4*r + 8703. Suppose u(b) = 0. What is b?
-1, -2/5, 3/4, 1
Solve -39*j**2 + 7*j + 70*j**2 + 9 + 21 - 32*j**2 + 0*j = 0 for j.
-3, 10
Let z(k) = 4*k**2 + 11*k - 1. Let s be z(-3). What is i in -13111*i**2 + 70*i + 200 - 36*i**3 + 13233*i**s + 290*i + 2*i**4 = 0?
-1, 10
Suppose 110*c + 4*g - 42 = 115*c, 0 = 4*c + 3*g - 47. Factor -8 + 2/7*q**3 + 114/7*q - 60/7*q**c.
2*(q - 28)*(q - 1)**2/7
Let o = -9596/129 + 48109/645. Suppose 5*v = 15 - 5. Determine a, given that -v*a**3 - a**4 - 2*a**2 - a - 1/5*a**5 - o = 0.
-1
Let m(b) = b**2 + 1685*b + 717406. Let l(q) = -4*q**2 - 6737*q - 2869623. Let k(d) = -15*l(d) - 65*m(d). Find f, given that k(f) = 0.
-847
Suppose -13 = 3*h + 2, 0 = -3*v - 4*h - 104. Let n be (4/20)/((-14)/v). Factor n - r + 7/5*r**4 - 9/5*r**2 + r**3.
(r - 1)*(r + 1)**2*(7*r - 2)/5
Let p(h) be the first derivative of h**4 - 68*h**3/3 - 82*h**2 + 228*h - 1125. Factor p(i).
4*(i - 19)*(i - 1)*(i + 3)
Let c = -197 - -200. Factor 3*m**c - 2*m**3 - 2 - 8 - 4*m**3 + 9*m**2 - 2.
-3*(m - 2)**2*(m + 1)
Suppose 221943/7*h**2 - 440646/7 + 1629/7*h**3 + 217071/7*h + 3/7*h**4 = 0. Calculate h.
-271, -2, 1
Suppose -2*j + 7143 - 7187 = -4*b, -b = 4*j + 52. What is z in -3/5*z**b - 8/5*z + 13/5*z**3 - 2/5*z**2 + 0 = 0?
-2/3, 0, 1, 4
Let a = 13/147 - -21544/735. Let q(w) be the first derivative of -9 + a*w + 21/5*w**2 + 1/5*w**3. Solve q(c) = 0.
-7
Let x(i) = i**4 - 55*i**3 - 45*i**2 + 5893*i - 5773. Let p(s) = -4*s**4 + 276*s**3 + 228*s**2 - 29464*s + 28866. Let f(c) = -6*p(c) - 28*x(c). Factor f(v).
-4*(v - 8)*(v - 1)*(v + 19)**2
Let k(v) = -2*v**2 - 826*v + 752. Let w(m) = -m**2 - 20*m + 2. Let n(x) = k(x) - 4*w(x). Solve n(s) = 0 for s.
1, 372
Let v(l) = 11*l**2 - 5*l - 2. Let j be v(1). Let c(q) = 115*q**2 + 34*q - 1. Let h(k) = 113*k**2 + 36*k. Let a(m) = j*c(m) - 5*h(m). Factor a(z).
-(7*z + 2)*(15*z + 2)
Suppose -13 = 10*d + 27. Let c be 1*(d + 3) - (-15)/9. Let -2 + c*q**2 + 4/3*q = 0. What is q?
-3, 1
Let d(s) be the third derivative of -s**8/112 + 37*s**7/210 - 7*s**6/20 - 13*s**5/30 + 15*s**4/8 - 11*s**3/6 + 2*s**2 - 53*s. Suppose d(x) = 0. Calculate x.
-1, 1/3, 1, 11
Let r be ((-2)/(-6))/((-14)/21 - -1). Find i such that 79553*i**3 + 1 - 2*i**4 + 4*i**2 - 7955