 485*b**3 + 3117*b**2.
-3*b*(b - 2)*(519*b - 1)
Solve -786/5*f**2 - 518/5*f - 86/5 - 8/5*f**4 - 362/5*f**3 = 0 for f.
-43, -1, -1/4
Let i(s) be the first derivative of s**4/2 - 4*s**3/3 - 900*s**2 + 22032*s + 6587. Factor i(j).
2*(j - 18)**2*(j + 34)
Let l be ((1 + -2)*-2)/((-40)/280). Let u be l/98*(-28)/32. Find a, given that 1/2*a - u*a**2 - 3/8 = 0.
1, 3
Let q(t) be the first derivative of -16*t**2 - 158 - 16/3*t**3 + 0*t + 2*t**4 + 4/5*t**5. Factor q(k).
4*k*(k - 2)*(k + 2)**2
Suppose -2*k + 8 = 2*z, 3*z + 8 = 4*k - 2*k. Factor 7 - 7*g + g**2 + 13 - 12 + k.
(g - 4)*(g - 3)
Let g be ((-2)/7 - (-60)/(-35)) + 4. Suppose -g*b + 225 = 7*b. Factor -29*v + 45*v**2 - 26*v - 10*v**2 - 5*v**3 + b.
-5*(v - 5)*(v - 1)**2
Let g(x) be the first derivative of -x**4/18 + 28*x**3/27 + x**2 - 28*x - 653. Suppose g(c) = 0. What is c?
-3, 3, 14
Suppose 8999472/5*n - 5195695168/5 + 1/5*n**3 - 5196/5*n**2 = 0. What is n?
1732
Let k = -941 + 927. Let z be 0/(-11 - k - 2). Factor 1/3*p + 1/3*p**3 + z - 2/3*p**2.
p*(p - 1)**2/3
Determine k, given that 2*k**4 - 504*k**2 - 384 + 3*k**4 + 372*k**5 + k**4 - 362*k**5 + 669*k - 344*k**3 + 547*k = 0.
-4, 2/5, 1, 6
Let s(y) = -17*y - 861. Let v be s(-50). Let o be 2 + v + (-12)/(-1). Factor 3/2*f**o + 0*f + 0*f**2 + 0.
3*f**3/2
Let f(o) be the second derivative of -11/21*o**3 - 1/84*o**4 - 3/2*o**2 + 0 - 66*o. Suppose f(x) = 0. What is x?
-21, -1
Let f(l) = -l**3 + 3*l**2 + 2*l. Suppose -23*c = -25*c - 4. Let s be f(c). Let -6*i**2 - s*i**2 - 4 + 35*i**2 - 4*i - 14*i**2 = 0. What is i?
-2
Let v(z) be the third derivative of 2*z**7/105 + 2*z**6/15 + 4*z**5/15 - 1348*z**2. Factor v(p).
4*p**2*(p + 2)**2
Suppose 25/4*g**3 - 17/4*g + 3 - 5*g**2 = 0. Calculate g.
-4/5, 3/5, 1
Suppose -19448*p + 19522*p = 148. Factor 3/2 + 5/2*a**p + 7/2*a + 1/2*a**3.
(a + 1)**2*(a + 3)/2
Let i = -101 + 103. Let -5*m**3 + 4 - 11*m - 8*m**i - 4 - 9*m - 12*m**2 = 0. What is m?
-2, 0
Let k(t) be the first derivative of 2*t**4 - 2636*t**3/3 - 662*t**2 + 1320*t - 347. Suppose k(d) = 0. Calculate d.
-1, 1/2, 330
Let a = 834/17 - 2434/51. Let z = -59 + 61. Let a*m - 4/3*m**3 - 2/3*m**4 + 8/3*m**2 - z = 0. Calculate m.
-3, -1, 1
Let 1681*n - 2 - 14 - 36*n**2 - 1633*n + 0 = 0. Calculate n.
2/3
Let p = 15654/133 - 2220/19. Let -4/7 - 2/7*c**2 - p*c = 0. What is c?
-2, -1
Let c(q) = -23*q**3 + 58*q**2 - 357*q + 301. Let i(b) = 72*b**3 - 174*b**2 + 1072*b - 904. Let v(x) = -22*c(x) - 7*i(x). Solve v(p) = 0.
1, 7, 21
Let -567*f**3 - f**2 + 71*f + 308*f**3 + 60 + 11*f**2 + 258*f**3 = 0. What is f?
-4, -1, 15
Let m be 0 - ((-10)/(-15))/(2/(-9)). Factor -5*r - m*r**2 - 3*r**2 + 9*r - 13*r - r**3.
-r*(r + 3)**2
Suppose -4*g = 0, 2*k - 6 = 4*g - 0*g. Suppose -a + 4*f + 9 = -1, -3*f = k. Suppose -20*b + 24*b**2 + 10*b**2 - 52*b**2 + a + 8*b**3 = 0. What is b?
-1, 1/4, 3
Suppose 34*c - 182 = 22. Factor -12*j + 8 - 2*j - c*j**2 - 10*j**3 + 2*j**3 + 22*j - 2*j**4.
-2*(j - 1)*(j + 1)*(j + 2)**2
Let r = 81077 + -81073. Factor -28/5*o**3 + 0 + 0*o - 4/5*o**5 - r*o**4 - 12/5*o**2.
-4*o**2*(o + 1)**2*(o + 3)/5
Let n(i) be the first derivative of -i**4/8 + 335*i**3/3 - 112225*i**2/4 + 9314. Let n(s) = 0. Calculate s.
0, 335
Suppose 0 = 4*i - 3*i - 43. Suppose -5*c + i + 32 = 0. Factor -19*h**3 + c*h**3 - 4*h**4 + 15*h**4 + 3*h**4.
2*h**3*(7*h - 2)
Let z(f) be the first derivative of 4/3*f**3 + 25*f - 10*f**2 + 108. Factor z(a).
(2*a - 5)**2
Let t(w) be the first derivative of 0*w + 125/24*w**4 - 4 + 0*w**2 + 1/72*w**6 - 5/12*w**5 + 7/3*w**3. Let k(g) be the third derivative of t(g). Factor k(h).
5*(h - 5)**2
Let m = -26 - -5. Let p = -21 - m. Factor p*s - 5*s - s**2 - 4*s**2.
-5*s*(s + 1)
Factor 3/8*i**4 + 0 - 3/2*i**2 + 1/8*i**5 + 5*i - 7/4*i**3.
i*(i - 2)**2*(i + 2)*(i + 5)/8
Let r(b) = 6*b**2 + 5*b + 4. Let k be r(-1). Let w be (-14 - -5) + k - 2*-4. Suppose -8*o**3 - 49*o**4 + 4*o**5 - 58*o**w + 111*o**4 = 0. Calculate o.
-2, 0, 1
Suppose -86 + 66 = -h. Find z such that -5*z**2 - 31*z + 5*z**4 + h*z**3 - 16*z - 31 + 0*z**2 - 29 - 33*z = 0.
-3, -2, -1, 2
Let k be -2 + 23/((-230)/(-60)). Suppose w - 3 = 2*u - 5, -k*w = 5*u - 18. Find q such that 1 + 1/2*q - 1/2*q**3 - q**u = 0.
-2, -1, 1
Let q = 4123 + -20686/5. Let u = 15 + q. Factor 2/5*l**4 + 6/5*l**3 + 0*l + 0 + u*l**2.
2*l**2*(l + 1)*(l + 2)/5
What is k in -7*k**3 - 16*k**2 - 2*k**4 - 41*k - 7*k**3 + 73*k = 0?
-4, 0, 1
Factor -2/11*s**2 + 106/11*s - 392/11.
-2*(s - 49)*(s - 4)/11
Let x = -23 - -25. Let i(w) = 10*w - 46. Let c be i(8). Suppose 4*a - 3*a**3 + 3*a**x - a + c - 37 = 0. What is a?
-1, 1
Let k = 219 - 201. Find r, given that 0*r**4 + k*r**2 + 2*r**4 - 39*r**2 + 6*r + 10*r**4 - 15*r**3 = 0.
-1, 0, 1/4, 2
Suppose 12*g + 30 - 678 = 0. Factor -35 + g*j - 29 + 43 - 30 + 3*j**2 - 6*j**2.
-3*(j - 17)*(j - 1)
Let s be 4 + (100 - (4 - 0)). Let h be 1*5490/25 - 4/(-10). Solve -28 - 8 + 132*n + 24*n + s*n**3 - h*n**2 = 0 for n.
3/5, 1
Let x(i) = i**2 - 114*i + 3202. Let f be x(64). Determine z, given that -7/3 - 1/3*z**f - 8/3*z = 0.
-7, -1
Find t such that 1/2*t**3 + 114*t**2 + 6498*t + 0 = 0.
-114, 0
Let w(m) = -m**2 + 22*m + 4506. Let b be w(79). Let h(q) be the third derivative of -1/15*q**5 - 1/2*q**4 + 8/3*q**b + 0*q + 0 + 9*q**2. Factor h(j).
-4*(j - 1)*(j + 4)
Let f = -152 + -423. Let t = f - -575. Suppose 0*i**3 - 2/3 + t*i - 2/3*i**4 + 4/3*i**2 = 0. Calculate i.
-1, 1
Factor 553 - 1522 + 537 + 4*o**2 - 48*o.
4*(o - 18)*(o + 6)
Let g be -5*1 - ((-962)/(-130))/(-1). Let f(k) be the first derivative of -14 + 2*k**2 - 1/5*k**4 + 4/15*k**3 + g*k. Factor f(i).
-4*(i - 3)*(i + 1)**2/5
Suppose 3*j + 5*k + 35 = 0, 0 = 4*j - k + 20 + 19. Let t be 4/j + (-2)/(-5). Let -3*l - 12*l + t*l**3 - 3*l**3 + 40*l**2 + 18*l**3 = 0. Calculate l.
-3, 0, 1/3
Let d(y) = 5*y**4 - 54*y**3 + 90*y**2 + 22*y - 22. Let w(g) = 3*g**4 - 25*g**3 + 46*g**2 + 12*g - 12. Let t(a) = 6*d(a) - 11*w(a). Factor t(u).
-u**2*(u + 17)*(3*u - 2)
Suppose -r + 68 = 4*z + 17, 0 = -z - 2*r + 11. Let k(o) be the first derivative of 6*o - 21/2*o**2 + 3*o**4 - 5*o**3 + z. Let k(l) = 0. Calculate l.
-1, 1/4, 2
Let w(b) = 4*b**2 - b + 1. Let f(n) = 6*n**2 - 231*n - 231. Let u(h) = -f(h) + w(h). Factor u(k).
-2*(k - 116)*(k + 1)
Suppose 0 = 5*p - s, 9*p - 4*s + 3 + 5 = -7*p. Let o be 4/6 - 40/78. Factor -2/13*r - 4/13*r**p - o*r**3 + 0.
-2*r*(r + 1)**2/13
Determine i, given that -108 - 77 + 123*i**2 - 3*i + 185 = 0.
0, 1/41
Let s(p) be the first derivative of -100*p**3 - 435*p**2 - 2523*p/4 - 11607. Let s(y) = 0. Calculate y.
-29/20
Let a(s) = -96*s**3 + 21*s**2 - s. Let v(g) = -90*g**3 + 21*g**2 - g. Let c(d) = 6*a(d) - 7*v(d). Factor c(b).
b*(3*b - 1)*(18*b - 1)
Let b be 6*-2 - (21 + 29791/(-403)). Factor -2156/13*x**2 - b*x**3 - 54/13*x**4 + 4802/13 - 2058/13*x - 2/13*x**5.
-2*(x - 1)*(x + 7)**4/13
Factor -456 - 288*a - 54 + 1374 - a**3 + 15*a**2 + 15*a**2.
-(a - 12)**2*(a - 6)
Suppose 2*p = -2*t + 16, 5 = -5*p + 30. Let -3*b - b**3 + 3*b + 306*b**2 - 316*b**2 - b**t = 0. What is b?
-5, 0
Let w = -3354 + 3356. Let s(d) be the first derivative of -145*d**3 + 125/6*d**6 + 0*d + 745/4*d**4 - 18 + 45*d**w - 105*d**5. Suppose s(g) = 0. What is g?
0, 3/5, 1, 2
Let b = 82580 + -82578. Factor 0 + 2/3*h**3 - 4*h**b - 14/3*h.
2*h*(h - 7)*(h + 1)/3
Factor 4/5*v**5 + 1692/5*v**4 + 485934528/5*v + 18786592/5*v**2 + 267968/5*v**3 - 504990784/5.
4*(v - 1)*(v + 106)**4/5
Factor 28 + 4*k**3 + 2 - 2689*k**5 - 2*k**4 + 91*k + 2688*k**5 + 26*k**3 + 92*k**2.
-(k - 6)*(k + 1)**3*(k + 5)
Let w(i) be the second derivative of 68/9*i**3 - 150*i + 0*i**2 + 0 - 1/18*i**4. Factor w(n).
-2*n*(n - 68)/3
Let h = -793 + 790. Let k be (2523/(-58))/(h + 0). Factor k*i**2 + 9 - 39/2*i + 1/2*i**4 - 9/2*i**3.
(i - 3)**2*(i - 2)*(i - 1)/2
Let b(d) = 11*d**3 - 219*d**2 + 1210*d - 1515. Let z(s) = -2*s**3 - 2*s**2 - 15. Let i(x) = b(x) + 3*z(x). Find n, given that i(n) = 0.
2, 4, 39
Let u(y) be the third derivative of y**7/70 - 67*y**6/60 - 27*y**5/5 - 39*y**4/4 - 47*y**3/6 - 1964*y**2. Factor u(o).
(o - 47)*(o + 1)**2*(3*o + 1)
Suppose -122*j - 6 = -116*j. Let i(w) = w**2 - 2*w + 2. Let y(m) = 5*m**2 + 80*m - 2104. Let q(x) = j*y(x) + 6*i(x). What is a in q(a) = 0?
46
Suppose 25*d - 231*d + 4275*d**2 - 4265*d**2 - 308 = 0. Calculate d.
-7/5, 22
Let b(h) be the first derivative of 2*h**6/3 -