 + f. Factor 2/11*u**3 - 8/11*u**2 + 10/11*u - j.
2*(u - 2)*(u - 1)**2/11
Let i be (2*7/14)/(1/5). Suppose -105*b**3 + 139*b**5 + b**5 + i*b + 32*b**2 - b - 236*b**4 = 0. Calculate b.
-1/2, -1/10, 0, 2/7, 2
Let p(m) be the second derivative of 0*m**3 - 10 + 0*m**2 + 9*m - 11/30*m**5 - 16/189*m**7 - 8/15*m**6 - 2/27*m**4. Determine x so that p(x) = 0.
-4, -1/4, 0
Factor -24/5*x**2 + 0 - 26/5*x + 2/5*x**3.
2*x*(x - 13)*(x + 1)/5
Suppose 191293*k**2 + 15*k**5 + 27662*k**2 + 112*k**4 - 15435*k**3 + 450756 + 83*k**4 - 70*k**4 + 108264 - 977680*k = 0. What is k?
-42, 2/3, 11
Let d(w) be the first derivative of -22*w**5/5 - 295*w**4/6 - 172*w**3 - 160*w**2 + 64*w/3 + 964. Let d(r) = 0. What is r?
-4, -1, 2/33
Let h = -10535759/360 + 29266. Let x(c) be the third derivative of 0*c - h*c**6 - 1/180*c**5 - 1/6*c**3 + 0 + 5/72*c**4 + 20*c**2. Factor x(s).
-(s - 1)**2*(s + 3)/3
Let w(j) = 2*j**2 + 2*j + 1. Let m = -761 + 765. Let d(n) = -2 + 0 + 0 + 3 + n**2 + n. Let g(s) = m*w(s) - 4*d(s). What is k in g(k) = 0?
-1, 0
Factor -7599/7*c - 3804/7*c**2 - 3/7*c**3 - 3798/7.
-3*(c + 1)**2*(c + 1266)/7
Let w be (-3 - (-475)/155) + (-48)/2480*-255. Suppose 5/4*q**5 - 10*q**2 - w*q + 5/2*q**4 + 0 - 15/4*q**3 = 0. Calculate q.
-2, -1, 0, 2
Let i(g) be the second derivative of 5*g**7/42 - g**6/6 - 11*g**5/4 + 15*g**4/4 + 15*g**3 - 793*g. Find l, given that i(l) = 0.
-3, -1, 0, 2, 3
Let q(h) = -29*h**2 + 168*h + 307. Let o(u) = 18*u**2 - 84*u - 153. Let x(j) = 5*o(j) + 3*q(j). Determine a, given that x(a) = 0.
-26, -2
Let l(h) = 3*h**2 - 22*h - 24. Let q be l(17). Determine w, given that q + 6*w**4 - 18*w**3 - 7*w + 3*w**5 - 451 - 24*w**2 + 22*w = 0.
-3, -1, 1, 2
Suppose 2*w = -7 + 9, 8 = u + 4*w. Suppose -2*o + o = -u*o. What is i in 0*i**2 - 4/5*i**3 + o*i + 0 = 0?
0
Let h(v) = -v**4 + v**3 + 3*v**2 + v. Let o(q) = -12*q**4 + 71*q**3 - 591*q**2 - 8421*q - 13872. Let g(i) = 44*h(i) - 4*o(i). Factor g(u).
4*(u - 34)**2*(u + 2)*(u + 6)
Suppose -30*l - 769 + 3*l**4 + 7*l**3 + 817 - 36*l**2 - 22*l = 0. What is l?
-4, -2, 2/3, 3
Let j be 6 - 36/4 - 908. Let p = j - -911. Solve -2/9*u**2 + 2/3*u**4 + p + 0*u**3 - 4/9*u**5 + 0*u = 0.
-1/2, 0, 1
Let o(f) be the first derivative of 55 - 9*f**3 + 16/25*f**5 - 6/5*f + 18/5*f**4 + 53/10*f**2. Suppose o(b) = 0. Calculate b.
-6, 1/4, 1
Let h = -774628 - -774630. Factor 16/3*d - 4/3*d**3 + 112/3 - 28/3*d**h.
-4*(d - 2)*(d + 2)*(d + 7)/3
Suppose 52*n - 1536 = -163*n - 169*n. Find r such that -8/3*r**2 - 40/3*r**n + 0 + 86/3*r**3 - 8/3*r = 0.
-1/4, 0, 2/5, 2
Let k = 22843 - 479695/21. Let j(b) be the first derivative of 0*b + 1/21*b**6 + 8/35*b**5 - 31 + 1/7*b**2 + k*b**3 + 3/7*b**4. What is w in j(w) = 0?
-1, 0
Factor -8/3*c**2 + 0*c**3 - 8/3*c + 1/6*c**5 + 2/3*c**4 + 0.
c*(c - 2)*(c + 2)**3/6
Let h(k) be the third derivative of -k**5/60 - 1061*k**4/24 + 177*k**3 + 2*k**2 + 3476*k - 2. Factor h(f).
-(f - 1)*(f + 1062)
Let h(r) = 6*r**2 + 9438*r + 7413558. Let x(f) = -29*f**2 - 47188*f - 37067788. Let p(z) = -14*h(z) - 3*x(z). Factor p(s).
3*(s + 1572)**2
Let c = 99 - -84. Factor -3920 - 136*g - 327*g + c*g - 5*g**2.
-5*(g + 28)**2
Let q(p) be the second derivative of p**5/220 + 25*p**4/33 + 3*p**3/2 - 290*p. Factor q(t).
t*(t + 1)*(t + 99)/11
Let p(h) be the third derivative of 1/240*h**5 - 1/48*h**4 + 0*h**3 + 0 + 1/480*h**6 + 0*h + 34*h**2. What is s in p(s) = 0?
-2, 0, 1
Let t = -54472 - -54472. Solve t - 8/7*k**2 - 2/7*k**3 + 8/7*k + 2/7*k**4 = 0 for k.
-2, 0, 1, 2
Let i = 775 + -771. Solve -12*u**3 - 48 + 32*u + 16*u - 854*u**i + 857*u**4 = 0.
-2, 2
Suppose 273*g - 8602 - 18304 - 42982 = 0. Let -1/4*l**2 - 16*l - g = 0. What is l?
-32
Suppose 3483 = 1001*r + 3189 - 19258 - 4472. Factor 2/3*j**5 + 64*j + r - 6*j**4 + 2*j**3 + 146/3*j**2.
2*(j - 6)**2*(j + 1)**3/3
Let f(q) be the third derivative of 23*q**5/100 + 1563*q**4/40 - 34*q**3/5 + 1965*q**2 - 2*q. Factor f(b).
3*(b + 68)*(23*b - 1)/5
Let m(s) be the third derivative of -1/900*s**6 - 1/15*s**4 + 1/75*s**5 + 0 + 11/3*s**3 + 25*s**2 + 0*s. Let k(b) be the first derivative of m(b). Factor k(t).
-2*(t - 2)**2/5
Let r be 62/(-279) - (22/(-9))/2. Let w be (6/r)/((-2)/(-7)). Determine g, given that 18*g**3 - 6*g + 24*g**3 + 3*g**2 + 3*g**3 + w*g**5 + 57*g**4 = 0.
-1, 0, 2/7
Let y be (-27)/(-153)*(-252)/(-54). Factor 2/17*k + y*k**2 + 0.
2*k*(7*k + 1)/17
Let m(s) be the third derivative of -s**5/12 - 1565*s**4/24 + 785*s**3/3 + 14*s**2 - 180*s. Factor m(p).
-5*(p - 1)*(p + 314)
Let s(u) = -8*u**2 + 640*u - 1260. Let z(c) = c**2 - c. Let h(t) = s(t) + 6*z(t). Factor h(r).
-2*(r - 315)*(r - 2)
Let j = -4760654/9 - -528962. Let 23/9*q**3 - j + 7/9*q + 4/9*q**4 + 10/3*q**2 = 0. Calculate q.
-4, -1, 1/4
Let z = 413/60 + -199/30. Factor 7/2*h**3 + 0 + 0*h**2 - z*h**4 + 0*h.
-h**3*(h - 14)/4
Let b(r) be the first derivative of 2*r**6/21 - 4*r**5/5 - 14*r**4 + 4414. Let b(g) = 0. What is g?
-7, 0, 14
Let j(v) be the first derivative of -8*v**2 + 8*v + 1/3*v**4 + 1 - 4/3*v**3 + 1/10*v**5. Let n(i) be the first derivative of j(i). Find a, given that n(a) = 0.
-2, 2
Let y(q) be the third derivative of -q**8/112 + q**7/42 + 7*q**6/30 + q**5/15 - 2*q**4/3 + 32*q**2 - 2*q. Determine x, given that y(x) = 0.
-2, -1, 0, 2/3, 4
Let g(q) = q**2 + 727*q - 34716. Let u be g(45). Find n, given that u*n**2 + 32/5 + 144/5*n + 28/5*n**3 = 0.
-2, -2/7
Let n(p) be the first derivative of -2*p**6/3 - 8*p**5/5 + 5*p**4 + 40*p**3/3 - 8*p**2 - 32*p - 725. Find v, given that n(v) = 0.
-2, -1, 1, 2
Let c(v) be the first derivative of -5*v**3 + 3*v**3 - 151 - 3*v**3 - 400*v + 305*v**2 + 0*v**3 + 0*v**3. Suppose c(d) = 0. What is d?
2/3, 40
Let v(h) = -17*h**2 - 14*h + 70. Let p(l) = -l**2 + 13*l - 26. Let z be p(3). Let g(u) = -14*u**2 - 12*u + 70. Let m(b) = z*v(b) - 5*g(b). Solve m(t) = 0 for t.
-7, 5
Let d = -226 + 230. Suppose d*k - 20 = m, 8*m - 4*m = -16. What is x in 32/5 + 102/5*x**k + 14/5*x**5 + 56*x**3 + 192/5*x + 352/5*x**2 = 0?
-2, -1, -2/7
Let s = 3959 - 3956. Let q(j) be the second derivative of -16*j + 1/21*j**4 + 0 + 0*j**2 + 1/21*j**s + 1/70*j**5. Factor q(i).
2*i*(i + 1)**2/7
Let h(a) be the first derivative of 0*a + 4/3*a**3 - 9/4*a**4 + 0*a**2 - 1/6*a**6 + 6/5*a**5 - 31. Factor h(r).
-r**2*(r - 4)*(r - 1)**2
Let p(d) be the first derivative of -4/5*d**2 - 2/15*d**3 + 1/10*d**4 + 74 + 8/5*d. Factor p(k).
2*(k - 2)*(k - 1)*(k + 2)/5
Factor 49*i**2 - 23*i**2 + 40*i - 22704*i**4 + 22705*i**4 - 13*i**3.
i*(i - 10)*(i - 4)*(i + 1)
Let -573*o**2 - 1076*o**2 - 5*o**5 + 1480*o**4 + 248*o**2 + 4*o**3 + o**5 - 79*o**2 = 0. Calculate o.
-1, 0, 1, 370
Let h(y) be the third derivative of y**6/1260 + 19*y**5/210 + 23*y**3/6 + 63*y**2. Let s(m) be the first derivative of h(m). Determine c so that s(c) = 0.
-38, 0
Let p be (2/66)/(8 + 580/(-87)). Let i(m) be the second derivative of 0*m**3 + 0 + p*m**4 - 2/11*m**2 - 1/220*m**5 + 3*m. Factor i(c).
-(c - 2)**2*(c + 1)/11
Let f(d) be the third derivative of 845*d**8/672 - 403*d**7/12 - 55*d**6/3 - 17*d**5/6 + 5089*d**2. Solve f(n) = 0.
-2/13, 0, 17
Solve -5244*h**2 - 48*h + 5312*h**2 - 22*h + 2*h**3 = 0 for h.
-35, 0, 1
Let p be ((24050/(-111))/(-130))/(10/4). Find y, given that 2/3 - p*y**3 - 2*y + 2*y**2 = 0.
1
Let n be ((-20)/(-7))/(18370/12859). Find k, given that 57/5*k + 21/5*k**n - 18/5 = 0.
-3, 2/7
Let b(h) be the third derivative of h**5/150 - 22*h**4/5 + 263*h**3/15 - 2*h**2 + 7*h + 18. Factor b(s).
2*(s - 263)*(s - 1)/5
Let b(v) be the third derivative of v**8/2016 - 17*v**7/630 + 169*v**6/720 + 17*v**5/3 + 25*v**4 - 1915*v**2. Let b(r) = 0. What is r?
-3, 0, 20
Let q(c) be the second derivative of c**6/90 + 67*c**5/60 + 125*c**4/6 + 146*c**3 + 324*c**2 + 176*c - 1. Find n, given that q(n) = 0.
-54, -6, -1
Let o = 867 + -864. Suppose 0 = o*b - z + 4, -6*z = -8*z + 8. Factor b*g - 3/8*g**3 + 0 - 3/8*g**2.
-3*g**2*(g + 1)/8
Let v be (-3 + -1)/(-1) + ((-90160)/(-92))/49. Factor 0*h + 0 + 3/5*h**3 + v*h**2.
3*h**2*(h + 40)/5
Factor 809*o**3 - 1190 - 2382*o + 806*o**3 - 1194*o**2 - 1617*o**3.
-2*(o + 1)**2*(o + 595)
Let 29*l**2 + 32*l**2 + 18095 + 516*l + 15187 - 59*l**2 = 0. Calculate l.
-129
Let s be (-24 + 25)/(1*(-1)/(-31)). Let q = s + -10. Factor 139*u + 19*u**4 - 142*u - 59*u**3 + q*u**2 + 14*u**3 + 8*u**4.
3*u*(u - 1)*(3*u - 1)**2
Let u = 188