18*f + 8*f**3 - 18*f**t + 2/3*f**4. Factor y(x).
-4*(x - 1)**2*(x + 3)**2
Let u(y) = 13*y**4 + 420*y**3 - 3196*y**2 + 5066*y - 2310. Let m(b) = -4*b**4 - 140*b**3 + 1064*b**2 - 1688*b + 770. Let w(q) = -7*m(q) - 2*u(q). Factor w(x).
2*(x - 5)*(x - 1)**2*(x + 77)
Let y(t) = t**2 - 7*t + 7. Let f be y(6). Let h be -1*(f - -1) + 3588/690. Determine v so that 4/5*v**2 + h*v + 0 = 0.
-4, 0
Let i be (46740/2100 - 22) + 2/14. Let 0*y + 0*y**3 + 0 + 2/5*y**2 - i*y**4 = 0. Calculate y.
-1, 0, 1
Let j(a) = -2*a**3 + 3*a**2 + 4*a - 3. Let g = 44 + -20. Let m = g + -31. Let w(h) = -6*h**3 + 10*h**2 + 13*h - 10. Let d(l) = m*j(l) + 2*w(l). Factor d(r).
(r - 1)*(r + 1)*(2*r - 1)
Let r(i) be the third derivative of 36*i**2 - 20/7*i**4 + 0 - 1/210*i**6 - 23/105*i**5 + 0*i + 96/7*i**3. Solve r(s) = 0.
-12, 1
Let z(c) = -7*c**2 + 4. Let p(w) = -w**2 - 3*w + 1. Let o(f) = 4*p(f) - z(f). Let o(x) = 0. What is x?
0, 4
Let y(g) = -g**3 + 31*g**2 - 3*g + 1120. Let o be y(32). Let z(r) be the third derivative of 0*r - 20*r**2 + 0 - 1/84*r**4 + 1/420*r**5 + o*r**3. Factor z(v).
v*(v - 2)/7
Suppose -4*u + 2*u = -14. Factor -87*h - u - 69 - 69*h - 4*h**3 - 84*h**2 + 0*h**3.
-4*(h + 1)**2*(h + 19)
Let o(q) = -q**4 - 2*q**2 - 11*q. Let t(n) = 7*n**4 + 3120*n**3 + 648964*n**2 + 44994582*n. Let j(g) = 2*o(g) + t(g). Factor j(r).
5*r*(r + 208)**3
Let c(j) be the third derivative of -j**6/24 - 7*j**5/12 - 25*j**4/12 + 355*j**2. Suppose c(m) = 0. What is m?
-5, -2, 0
Let b be -2*(-5)/(-2)*(-440 - -439). Let f(p) be the third derivative of 0 - p**4 + b*p**2 + 0*p - 1/3*p**5 + 0*p**3 - 1/30*p**6. Factor f(y).
-4*y*(y + 2)*(y + 3)
Let t(u) be the second derivative of u**5/40 + 7*u**4/12 + 4*u**3 + 1805*u. Factor t(z).
z*(z + 6)*(z + 8)/2
Determine m, given that -6/11*m**2 + 510/11*m - 1944/11 = 0.
4, 81
Let r(a) be the third derivative of a**6/660 + 2*a**5/33 + 13*a**4/132 - 38*a**3/11 - 4828*a**2. Find l such that r(l) = 0.
-19, -3, 2
Let f(b) be the first derivative of b**6/24 - 7*b**5/4 + 79*b**4/8 - 61*b**3/3 + 15*b**2 + 2786. Determine g, given that f(g) = 0.
0, 1, 2, 30
Let f(w) be the first derivative of -w**6/15 + w**5/10 + w**4/6 - w**3/3 - 15*w + 41. Let b(h) be the first derivative of f(h). Factor b(t).
-2*t*(t - 1)**2*(t + 1)
Suppose -275*o + 48 = -251*o. Let z(g) be the third derivative of 0 + 0*g**3 - 5/336*g**8 + 1/12*g**6 - 5/24*g**4 + o*g**2 + 0*g**7 + 0*g + 0*g**5. Factor z(c).
-5*c*(c - 1)**2*(c + 1)**2
Let x(q) be the second derivative of 13*q**4/3 - 854*q**3/3 - 132*q**2 + 2*q + 773. Let x(w) = 0. What is w?
-2/13, 33
Let u = -1114655/4 - -278664. Determine j so that -3/4*j**2 - u - 1/8*j**3 + 7/8*j + 1/4*j**4 = 0.
-2, 1/2, 1
Let g be 1/2 + (-2)/78*-39. Solve 0 - 236196*b - 243*b**3 - g*b**4 - 13122*b**2 = 0 for b.
-54, 0
Let q(f) be the first derivative of f**4/10 - 14*f**3/5 + 39*f**2/5 - 38*f/5 - 811. What is a in q(a) = 0?
1, 19
Let r = -18420 - -92156/5. Solve -392/5 - 2/5*t**2 - r*t = 0.
-14
Let s = 1663772 + -4991308/3. Let 2*k**2 + s*k - 40/9 - 2/9*k**3 = 0. Calculate k.
-2, 1, 10
Let t be 56/(-24)*-4*(-30)/(-1). Find w, given that 58*w**2 + 279 - 448*w - 167 + t - 2*w**3 = 0.
1, 14
Let x be 162/24 - (-5)/20. Suppose -5*h + 5*h**2 + 27*h**3 - 5*h + x*h**2 + 3*h**5 + 9*h**2 + 15*h**4 + 16*h = 0. What is h?
-2, -1, 0
Let q = 19 + -49. Let h = q + 37. Factor -40*g + 63*g**2 - h + 23 - 4 - 20*g.
3*(3*g - 2)*(7*g - 2)
Let f(l) be the third derivative of -l**8/112 + 269*l**7/70 - 18489*l**6/40 + 53599*l**5/20 - 17689*l**4/4 - 492*l**2 + l. Solve f(p) = 0.
0, 1, 2, 133
Let -11065*h**2 - 11061*h**2 + 22121*h**2 + 705*h = 0. Calculate h.
0, 141
Factor -60368*m**2 - 614656*m - 2151296 - 119/2*m**4 - 2744*m**3 - 1/2*m**5.
-(m + 7)*(m + 28)**4/2
Let i(l) be the first derivative of -5*l**2 + 5/2*l**6 - l**5 + 15*l**3 + 0*l - 45/4*l**4 - 82. Solve i(a) = 0 for a.
-2, 0, 1/3, 1
Let c be (-2 - (-68)/30)/(-4*(-2)/20). Let t(j) be the first derivative of -c*j**3 - 18*j + 2 - 6*j**2. Solve t(k) = 0 for k.
-3
Let a(q) be the third derivative of -q**7/280 + 5*q**6/32 + 71*q**5/40 + 59*q**4/8 + 15*q**3 + q**2 - 358*q. Suppose a(n) = 0. What is n?
-2, -1, 30
Let u(l) be the third derivative of -l**6/960 + l**5/60 + 35*l**4/192 - 49*l**3/8 + 10*l**2 - 109*l - 1. Determine r, given that u(r) = 0.
-6, 7
Let i be 1355/(-35) + 36 - (-1 - 4). Determine j, given that i*j - 48/7 + 4/7*j**2 = 0.
-6, 2
Let c(y) = y**3 + 5*y**2 - 3*y + 15. Let s be c(-6). Let u be (-237)/(-81) + s - 140/(-432). Factor 1/4*x**2 + 0 + u*x.
x*(x + 1)/4
Let m(b) be the first derivative of b**3 + 537*b**2 + 96123*b - 526. Factor m(i).
3*(i + 179)**2
Suppose -20*o + 21*o = 5. Suppose 4*x + 2*s - s = 20, o*s = -5*x + 40. Suppose 2*r**4 - 56*r**2 - x*r**4 - 6*r**3 + 4*r + 58*r**2 + 2*r**5 = 0. What is r?
-1, 0, 1, 2
Let r(x) be the third derivative of -x**6/720 - 11*x**5/120 - 7*x**4/16 - 6*x**3 - x**2 - 16*x. Let t(a) be the first derivative of r(a). Factor t(q).
-(q + 1)*(q + 21)/2
Let k(r) = r**4 + 478*r**3 - 28800*r**2 + 27364*r + 56650. Let d(l) = 2*l**4 + 478*l**3 - 28802*l**2 + 27362*l + 56652. Let i(b) = 3*d(b) - 4*k(b). Factor i(u).
2*(u - 119)**2*(u - 2)*(u + 1)
Let t(d) = 4*d**5 - 16*d**4 - 33*d**3 + 11*d**2 + 208*d + 197. Let x(y) = y**5 + 3*y**3 - y**2 + 1. Let g(i) = 3*t(i) - 15*x(i). Factor g(b).
-3*(b - 2)*(b + 2)**3*(b + 12)
Suppose 4*v + 3*r = 8*r - 1, -39 = -4*v - 3*r. Suppose -44 = -v*u - 14. Factor -6*p**4 + 5*p**5 + 2*p**u - 12*p**3 - 3*p - 8*p**5 - 10*p**2.
-p*(p + 1)**3*(p + 3)
Let i = 3197/37788 + -4/3149. Let r(z) be the first derivative of 0*z**2 + 0*z**4 - i*z**3 - 19 + 0*z + 1/20*z**5. Determine s, given that r(s) = 0.
-1, 0, 1
Let b = 97438 - 97436. Find k, given that -b + 11/3*k - k**2 = 0.
2/3, 3
Let w(n) = n**3 - 13*n**2 - 13*n - 2. Let k be w(14). Let o be ((-2380)/(-2142))/(1 + (-10)/k). Factor -o*q - 5/3*q**2 - 20/3.
-5*(q + 2)**2/3
Suppose -27 = -3*k - s, 5*k - 59 = -16*s + 12*s. Let z(n) be the third derivative of -2/11*n**3 + 0 - 7/132*n**4 - k*n**2 - 1/330*n**5 + 0*n. Factor z(b).
-2*(b + 1)*(b + 6)/11
Suppose 7*j - 18 = -2*j. Let c(o) = 3*o**2 - 30*o - 76. Let v(r) = 5*r**2 - 60*r - 150. Let l(i) = j*v(i) - 5*c(i). Factor l(m).
-5*(m - 8)*(m + 2)
Let j be (4/(-20))/(61/(-4575)). Let f(g) be the first derivative of -1/6*g**3 + 3/8*g**2 - 1/24*g**6 + 3/20*g**5 - 1/4*g + j - 1/8*g**4. What is h in f(h) = 0?
-1, 1
Let r(z) = 2*z**2 - 20*z - 36. Let g(u) = 3*u + 10*u + 11 + 13 - u**2. Let p = -189 - -194. Let k(m) = p*r(m) + 7*g(m). Solve k(l) = 0.
-1, 4
Suppose -5540 + 5370 = -17*b. Let t(h) be the first derivative of -8/3*h**3 - 14*h**2 + b - 12*h. Let t(o) = 0. Calculate o.
-3, -1/2
Let y(i) be the first derivative of -4*i**5/5 + 26*i**4 - 736*i**3/3 + 192*i**2 + 4608*i + 1036. Factor y(h).
-4*(h - 12)**2*(h - 4)*(h + 2)
Suppose 0 = 21*i - 29*i - 8. Let a(g) = -44*g**5 - 48*g**4 - 60*g**3 - 12*g**2 + 44*g. Let d(p) = p**5 - p**4 - 2*p. Let r(q) = i*a(q) - 20*d(q). Factor r(c).
4*c*(c + 1)**3*(6*c - 1)
Let t(w) be the third derivative of -845/24*w**4 - 5/336*w**8 + 3 + 0*w + 2/3*w**7 - 37/4*w**6 - 15*w**2 + 91/3*w**5 + 0*w**3. Factor t(r).
-5*r*(r - 13)**2*(r - 1)**2
Solve -5/2*v**2 - 5/2*v**4 + 105/2*v - 25/2*v**3 + 45 = 0.
-3, -1, 2
Let q(t) be the second derivative of t**4/102 + 137*t**3/51 - 138*t**2/17 - 2520*t. Factor q(r).
2*(r - 1)*(r + 138)/17
Let w(s) = -11. Let c(l) = -16. Let k(j) = 2*c(j) - 3*w(j). Let t(d) = 4*d**2 - 16*d + 28. Let r(g) = 12*k(g) - t(g). Factor r(v).
-4*(v - 2)**2
Let d = -104861/365 + 21016/73. Factor -2/5*v**2 + 13/10*v - 3/10*v**3 - d.
-(v - 1)*(v + 3)*(3*v - 2)/10
Let b(x) = 2*x**2 + 138*x - 6. Let k(y) = 3*y**2 + 277*y - 14. Suppose -30*r + 43 + 47 = 0. Let o(p) = r*k(p) - 7*b(p). Factor o(u).
-5*u*(u + 27)
Let s(g) be the second derivative of -g**4/3 - 60*g**3 - 178*g**2 - 7*g - 70. Factor s(x).
-4*(x + 1)*(x + 89)
Suppose 0 = -30*p - 9*p + 1482. Let f be 6 - (-4 - p/(-5)). Suppose 2/5*q**3 - f*q**2 - 16/5 + 24/5*q = 0. What is q?
2
Suppose 4*p - 856 - 148 = 0. Determine c, given that -425 - p + 21*c**3 - 35*c**3 - 2470*c - 368*c**2 = 0.
-13, -2/7
Suppose -4*m + 203 = -577. Suppose 3*r = -m + 201. Factor -r*o**2 + 6*o - 6 + 2/9*o**3.
2*(o - 3)**3/9
Let h(u) be the third derivative of -u**7/3780 + u**6/540 + 2*u**5/45 + u**4 - u**3