60 + 269*c**5/10 + 64261*c**4/4 + 11470409*c**3/3 - 46268279*c**2/4 - 47*c - 8. Factor m(z).
(z - 1)*(z + 359)**3/2
Suppose -2*x = 4*s + 4, x - 6*x = -3*s - 3. Let q be ((-24)/(-4))/((-28)/(-8 - s)). Suppose q*u**2 + 0 + 3/2*u**3 + 1/2*u**4 + 1/2*u = 0. Calculate u.
-1, 0
Let r(f) be the third derivative of 1/42*f**4 - f + 0 + 1/30*f**5 - 13*f**2 - 4/735*f**7 + 0*f**3 - 1/84*f**6. What is i in r(i) = 0?
-2, -1/4, 0, 1
What is i in 0 + 0*i**4 + 2*i**3 + i - 8/3*i**2 - 1/3*i**5 = 0?
-3, 0, 1
Let a = 65852921/2455 + -26824. Let w = 4907/7365 + a. Determine b so that 4/3*b + w*b**2 - 2 = 0.
-3, 1
Let f be (8/6)/(28/42). Let c be (-2)/f*3 + 7. Factor -4*v**3 - 4*v**3 + 2*v**c - 3*v**3 + 13*v**3.
2*v**3*(v + 1)
Let h be (-3 - (-30)/(-40))/(2/40). Let o = -1723/23 - h. What is f in o*f**2 + 8/23*f + 6/23 = 0?
-3, -1
Suppose -w = -0*j - 2*j - 321, 0 = -3*j - 4*w - 476. Let v be (j/56 - -3) + (-2)/14. Factor v*k + 5/3*k**3 - 2/3*k**2 + 0 - 4/3*k**4 + 1/3*k**5.
k**2*(k - 2)*(k - 1)**2/3
Let v = 363298/25195 + -98/5039. Factor 0 + 0*t - v*t**2 + 58/5*t**4 - 156/5*t**3 - t**5.
-t**2*(t - 6)**2*(5*t + 2)/5
Let c be (-5 - 43)/8 - -10. Suppose 2*d = -k - c, 4*k - 18 = -d - 13. Factor -3/2*f**4 + 1/4*f**5 - 9/4*f + 0 + 3/2*f**k + 2*f**3.
f*(f - 3)**2*(f - 1)*(f + 1)/4
Let s(o) = 5598*o + 78374. Let p be s(-14). Suppose -104/9*f**p - 128/9 + 256/9*f + 16/9*f**4 + 4/9*f**5 - 44/9*f**3 = 0. Calculate f.
-4, 1, 2
Factor g**4 - 254*g + 48*g**3 + 390 - 122*g**2 + 111*g**2 - 9*g**3 - 485*g + 320*g**2.
(g - 1)**2*(g + 15)*(g + 26)
Let q(s) = 9*s**2 + s + 4. Let g(y) be the third derivative of -4*y**5/15 - y**4/12 - 7*y**3/6 - 76*y**2. Let u(w) = -4*g(w) - 7*q(w). Solve u(m) = 0 for m.
-1, 0
Suppose 37*g + 43 = -68. Let k be (g - 124/(-42))/((-1)/12). Let 2/7*a**2 + k - 6/7*a = 0. Calculate a.
1, 2
Let j(c) be the second derivative of c**7/14 - 4*c**6/5 - 63*c**5/20 + 2*c**4 + 10*c**3 - 1057*c + 3. Determine g so that j(g) = 0.
-2, -1, 0, 1, 10
Let y(g) = -2*g**2 + 62*g - 48. Let p be y(30). Suppose -16 - 20 = -p*x. Factor 3*m**x - 15/4*m - 3*m**4 + 3/2 + 3/4*m**5 + 3/2*m**2.
3*(m - 2)*(m - 1)**3*(m + 1)/4
Let y(c) = c**2 - 15*c - 214. Let i be y(24). Let q be ((9 - 14) + i)/(3 + -4). Determine j so that -1/9*j**q - 8/3*j + 4 - 11/9*j**2 = 0.
-6, 1
Let v be ((-202)/(-70) + 30/(-50))/(12/28). Factor -8/3*z + 1/3*z**4 + 8/3*z**3 - v + 5*z**2.
(z - 1)*(z + 1)*(z + 4)**2/3
Let v be 0/(10 + (-13 - -1)). Let d(g) be the second derivative of 0 - 1/2*g**4 + v*g**2 + 0*g**3 - 3/20*g**5 - 2*g. Suppose d(x) = 0. Calculate x.
-2, 0
Let r(q) be the second derivative of q**9/52920 - q**8/7840 + q**6/630 - 25*q**4/12 + q**3/3 - 5*q. Let s(h) be the third derivative of r(h). Factor s(w).
2*w*(w - 2)**2*(w + 1)/7
Let i(q) = q**3 + 4*q**2 + 864*q + 2586. Let u be i(-3). Factor -16/5*p - 1/10*p**u + 0 - 33/10*p**2.
-p*(p + 1)*(p + 32)/10
Let o = 169718 - 509140/3. Factor -o + 47/3*m + 13/3*m**3 + m**4 - 49/3*m**2.
(m - 1)**2*(m + 7)*(3*m - 2)/3
Let v = -3295/2 - -36249/22. What is x in -v*x**2 + 2/11*x**3 + 8/11 - 8/11*x = 0?
-2, 1, 2
Let c(m) = -32*m**2 + 1039*m + 2837. Let t be c(35). Suppose 16/9 + 16/9*n**4 - 50/9*n**3 - 2/9*n**5 - 56/9*n + 76/9*n**t = 0. Calculate n.
1, 2
Let d = -43/5 + 9. Suppose -4*v + 155*v - 302 = 0. Factor -d*p**v + 16/5*p - 32/5.
-2*(p - 4)**2/5
Factor -435*h + 120*h**3 + 1827*h - 104*h - 4*h**4 - 816*h**2 - 588.
-4*(h - 21)*(h - 7)*(h - 1)**2
Let t = -3689 - -3691. Let o(w) be the second derivative of 1/7*w**t - 1/140*w**5 + 0 - 5/42*w**3 + 16*w + 1/21*w**4. Factor o(l).
-(l - 2)*(l - 1)**2/7
Let f(v) be the first derivative of -v**3/15 - 31*v**2/5 + 63*v/5 - 632. Solve f(z) = 0.
-63, 1
Let x(k) be the second derivative of -1/35*k**5 + 2 - 18/7*k**2 - 18/7*k**3 - 80*k + 8/105*k**6 - 23/21*k**4. Suppose x(j) = 0. What is j?
-1, -3/4, 3
Suppose -4 = -4*z + 4. Let c be ((-3)/(-40))/(124/1240). What is t in 1/4*t**z - 3/4*t**3 - 1/4 + c*t = 0?
-1, 1/3, 1
Let 15488/5 + 10*b**2 + 352*b = 0. Calculate b.
-88/5
Let o(q) = -2*q**4 + 79*q**3 - 1850*q**2 + 14993*q - 45007. Let n(d) = d**4 - 41*d**3 + 925*d**2 - 7497*d + 22503. Let f(g) = 7*n(g) + 3*o(g). Factor f(j).
(j - 15)**2*(j - 10)**2
Let w(k) = -k**3 - 13*k**2 + 10*k - 8. Let t be w(-14). Suppose 5*b + g = t, -4*b + g = -23 - 19. Factor -4*o**4 - b + 10 + 4*o**2.
-4*o**2*(o - 1)*(o + 1)
Solve -845*q - 1504090 - 8407*q + 4782072 + 932989 + 3*q**2 + 2922321 = 0 for q.
1542
Suppose 44 - 563 = -20*a - 153*a. What is h in 0*h + 2*h**a + 0*h**2 + 2/7*h**4 + 0 = 0?
-7, 0
Let x(i) be the first derivative of -i**6/160 - 7*i**5/80 - i**4/4 + 2*i**3 - 76*i**2 + 14. Let a(u) be the second derivative of x(u). Factor a(p).
-3*(p - 1)*(p + 4)**2/4
Factor -257*a**2 + 490*a + 90*a**3 - 87*a**3 - 289*a**2 - 167*a + 220*a.
3*a*(a - 181)*(a - 1)
Let b be -5 + (305/20 - -3)*4. Suppose -64*g = -b*g + 16. Factor -33/2*y**g + 3 - 81/2*y**2 + 15/2*y + 93/2*y**3.
-3*(y - 1)**3*(11*y + 2)/2
Let w(z) = z**2 - 18*z - 19. Let y be w(19). Let b(m) be the first derivative of -4 + y*m - 5/2*m**2 - 5/3*m**3. Let b(f) = 0. What is f?
-1, 0
Let n(h) = -15*h**2 - 90*h + 35. Let w = 567 + -573. Let d(b) = 14*b**2 + 92*b - 33. Let i(s) = w*n(s) - 5*d(s). Find l, given that i(l) = 0.
-9/2, 1/2
Suppose -193*u = -214*u - 3612. Let a be -4 + ((-1)/9 - u/36). Solve 4/3 - a*h - 4*h**2 + 4/3*h**4 - 2/3*h**3 = 0 for h.
-1, 1/2, 2
Let p(f) be the third derivative of -f**8/2352 + 3*f**7/245 - 3*f**6/35 - 659*f**2. Factor p(h).
-h**3*(h - 12)*(h - 6)/7
Let y(n) be the third derivative of n**8/224 - 23*n**7/280 - 9*n**6/80 + 73*n**5/80 - 5*n**4/16 - 3*n**3 + 20*n**2 - 23*n. What is v in y(v) = 0?
-2, -1/2, 1, 12
Let o(v) = 2*v**2 - 101*v - 4265. Let a be o(78). Suppose -a*g**4 - 75/4*g**3 + 0 + 5*g + 25*g**2 + 55/4*g**5 = 0. What is g?
-1, -2/11, 0, 1, 2
Let y(m) = 2*m - 15. Let v be y(2). Let j be (-13)/(-5) + (44/(-10))/v. Solve -72/5*q - 3/5*q**4 - 66/5*q**2 - 24/5*q**j - 27/5 = 0 for q.
-3, -1
Let u(k) be the third derivative of -k**5/80 + 43*k**4/16 - 21*k**3 - 124*k**2 - 5. Determine m so that u(m) = 0.
2, 84
Find y, given that -579 + 41*y**2 + 238 - 6*y**2 + 2155*y - 589 = 0.
-62, 3/7
Let q(n) be the third derivative of -n**5/12 + 485*n**4/8 + 7342*n**2. Factor q(z).
-5*z*(z - 291)
Let u(z) = 27*z**4 - 39*z**3 - 63*z**2 + 297*z + 3. Let p(r) = 10*r**4 - r**3 + r + 1. Let v(n) = 3*p(n) - u(n). Suppose v(g) = 0. Calculate g.
-7, 0, 2
Let t = -326 - -312. Let m(k) = -k**3 - 16*k**2 - 24*k + 58. Let p be m(t). Factor -8/5 + 2/5*r**p - 6/5*r.
2*(r - 4)*(r + 1)/5
Suppose -2*r + r = 5*k - 20, 5*r = -3*k + 12. Let o be -2 - ((1 - k) + -2). Factor 7*n**2 - 3*n**o - 2*n**3 + 4*n**2 + 9*n**2.
-5*n**2*(n - 4)
Let q = 291046 + -2328365/8. Let c = -123 + 497/4. Factor q*o - c*o**2 + 1/8*o**5 + 0 + 3/2*o**3 - 3/4*o**4.
o*(o - 3)*(o - 1)**3/8
Let v(k) = -3*k + 1. Let p be 24/14 + 10/385*11. Let m(t) = -2*t**2 + 54*t - 40. Let o(y) = p*m(y) + 44*v(y). Factor o(d).
-4*(d + 3)**2
Let j(a) = -9*a**2 - 1151*a + 3672. Let n be j(-131). Let 3/4*y**3 - 15/4*y + 3/4*y**n - 9/4*y**2 - 3/2 = 0. What is y?
-1, 2
Suppose 69*j - 74*j + 74 = -4*g, 3*g + 59 = 4*j. Let a be (-14)/(-40) - (j - 798/56). Suppose -3/5*v - a*v**2 + 0 = 0. Calculate v.
-1, 0
Let z(p) = -61*p**2 + 1428*p + 7463. Let o(u) = 5*u**2 - 120*u - 622. Let h(q) = -25*o(q) - 2*z(q). Find c such that h(c) = 0.
-4, 52
Let z be 136/(-1428) - ((-830)/(-105) - 1) - -9. Factor 12/23*w**z - 14/23*w + 2/23*w**3 + 0.
2*w*(w - 1)*(w + 7)/23
Let r(o) be the second derivative of o**7/630 - 3*o**6/20 - 5*o**4/6 + 3*o**2 + 82*o. Let j(v) be the third derivative of r(v). Factor j(t).
4*t*(t - 27)
Let v = 1544 - 4735/3. Let y = v + 233/6. Factor -3*h + y + 1/2*h**2.
(h - 3)**2/2
Let y(j) be the third derivative of j**8/112 - j**7/70 - 3*j**6/40 + j**5/20 + j**4/4 + 5*j**2 - 26. Factor y(d).
3*d*(d - 2)*(d - 1)*(d + 1)**2
Let m(j) be the second derivative of -j**5/5 + 17*j**4/3 + 108*j**3 + 288*j**2 + 49*j - 25. Solve m(g) = 0 for g.
-6, -1, 24
Let n be ((-552)/63 - -9)*-24 - (-30)/5. Determine t so that 0*t + 2/7*t**2 - n = 0.
-1, 1
Let i(x) be the third derivative of 0*x + 0*x**4 + 1/20*x**6 + 1/70*x**7 - 1/56*x**8 - 1/20*x**5 + 0*x**3 - 15*x**2 + 0. Let i(l) = 0. What is l?
-1, 0, 1/2, 1
Let j(g) = g**2 + 79*g + 303. Let i be j