u.
-48, -2
Let x(c) = 9*c**2 + 1198*c + 175260. Let z(k) = 4*k**2 + 598*k + 87628. Let v(w) = 6*x(w) - 14*z(w). Factor v(u).
-2*(u + 296)**2
Let y(x) be the first derivative of -58 + 0*x**2 + 0*x + 2/5*x**5 + 50/3*x**3 - 5*x**4. Let y(w) = 0. Calculate w.
0, 5
Let f(v) = 13*v**4 + 109*v**3 - 1051*v**2 + 1418*v + 2535. Let i(q) = 20*q**4 + 164*q**3 - 1576*q**2 + 2128*q + 3800. Let o(l) = 8*f(l) - 5*i(l). Factor o(g).
4*(g - 4)**2*(g + 1)*(g + 20)
Let g = -1622 - -1618. Let z be (g/(-65))/((-1376)/230 - -6). Solve 14/13*r**2 - 48/13*r + z*r**3 + 18/13*r**4 - 32/13 + 2/13*r**5 = 0 for r.
-4, -1, 1
Let u be (4/5*-1)/(2*423/(-235)). Solve -u*y**2 + 14/9*y - 8/3 = 0 for y.
3, 4
Let d = 167 + -122. Find h such that -4*h + h + d*h**3 + 2 - 44*h**3 = 0.
-2, 1
Let j(b) be the first derivative of b**5/20 + b**4/4 + b**3/2 + b**2/2 + 120*b - 36. Let g(d) be the first derivative of j(d). Factor g(w).
(w + 1)**3
Let u(s) be the second derivative of 1/15*s**6 + 0*s**4 + 0*s**2 + 0*s**3 + 0 - 1/10*s**5 + 92*s. Suppose u(h) = 0. Calculate h.
0, 1
Let v(l) = 96*l**3 - 21*l**2 + 234*l - 468. Let t(x) = -159*x**3 + 41*x**2 - 469*x + 936. Let d(j) = 3*t(j) + 5*v(j). Factor d(g).
3*(g - 4)*(g - 3)*(g + 13)
Find s, given that 2/11*s**2 - 2/11*s**3 + 650/11*s + 646/11 = 0.
-17, -1, 19
Let t(r) be the third derivative of -r**5/150 - 67*r**4/60 + 46*r**3/5 + 10*r**2. Suppose t(c) = 0. What is c?
-69, 2
Let k(q) = -28*q**2 - 223*q + 462. Let f(a) = 148*a**2 + 1116*a - 2312. Let y(r) = -3*f(r) - 16*k(r). Find n such that y(n) = 0.
-57, 2
Determine w, given that -64980*w + 20*w**3 + 18691*w**2 - 3395*w**3 + 13697*w**2 + 10344 - 6738*w**2 + 44528 = 0.
38/15
Suppose -3*u - 38 = -59. Suppose -3 + u = -2*s - 2*r, -3*r = -3*s + 6. Factor 3*w**2 + 78*w + s*w**2 - 90*w.
3*w*(w - 4)
Suppose 0 = -l + v - 4, -3*l - 3 = 2*v - 21. Let z(t) be the first derivative of 3/2*t**4 - 6*t - 12 + 5*t**l + 22/3*t**3. Solve z(o) = 0.
-3, -1, 1/3
Suppose 259 = 10*j - 121. Factor 11 + 35*n**3 + j*n**2 - 11*n**4 + 12 - 23 - 8*n.
-n*(n - 4)*(n + 1)*(11*n - 2)
Let z(m) be the third derivative of 4/15*m**4 - 32/15*m**3 - 23 + 7/75*m**5 + m**2 + 0*m + 1/150*m**6. What is k in z(k) = 0?
-4, 1
Let y(b) be the third derivative of 11*b**7/189 + 73*b**6/540 - 34*b**5/135 + b**4/9 + 831*b**2 + 1. What is j in y(j) = 0?
-2, 0, 3/11, 2/5
Let g(d) be the first derivative of -1/6*d**3 + 1/2*d**2 + 3/2*d + 20. Factor g(m).
-(m - 3)*(m + 1)/2
Let b(o) = o**3 - 31*o**2 - 32*o + 8. Let g be b(32). Let p be (-49)/(-21) - (-1)/(-3). Find n, given that g*n**2 + 10*n**p - 19*n**2 = 0.
0
Suppose -10*s - 2*y + 20 = -6*s, 2*s - 3*y - 10 = 0. Let b be 55/22*3/s. Determine l, given that 0 - 3*l**3 + 0*l + b*l**2 + 3/2*l**4 = 0.
0, 1
Let l(h) be the third derivative of 0*h + 0*h**3 + 1/360*h**6 + 0*h**4 + 2 - 1/90*h**5 - 65*h**2. Factor l(o).
o**2*(o - 2)/3
Let f(u) be the first derivative of 4/15*u**5 + 0*u**2 - 110 - 1/18*u**6 - 5/12*u**4 + 2/9*u**3 + 0*u. Factor f(m).
-m**2*(m - 2)*(m - 1)**2/3
Let u(k) be the first derivative of 3*k**5/5 + 9*k**4/2 + 5*k**3 - 1319. Determine n, given that u(n) = 0.
-5, -1, 0
Suppose -12*g = -23 - 25. Factor -960 + 34*w**2 + 15*w**3 - 40*w**g - 560*w + 397*w**2 + 29*w**2 + 5*w**5.
5*(w - 4)**3*(w + 1)*(w + 3)
Let i(g) be the third derivative of -g**5/360 - 11*g**4/24 - 57*g**3/4 + 408*g**2 + g. Factor i(u).
-(u + 9)*(u + 57)/6
Let q(j) be the second derivative of 0*j**2 + 7*j + 1/5*j**5 + 0*j**3 - 2/3*j**4 - 1. What is t in q(t) = 0?
0, 2
Let a = 25 - 20. Determine f, given that 2*f**3 + 2*f**3 + f - a*f**3 = 0.
-1, 0, 1
Let p(j) = -25*j**3 - 142*j**2 - 211*j + 33. Let a(h) = -26*h**3 - 143*h**2 - 224*h + 32. Let b(y) = 3*a(y) - 4*p(y). Factor b(t).
(t + 2)*(2*t + 9)*(11*t - 2)
Suppose -40*u**2 - 35*u**4 - 70*u**3 - 5*u**5 + 748646*u - 748646*u = 0. What is u?
-4, -2, -1, 0
Let l be -10 + 139/15 + (47 - 46). Let w(g) be the third derivative of 8*g**2 + 7/6*g**4 + 0*g + 0 - 2*g**3 - l*g**5. Find y, given that w(y) = 0.
3/4, 1
Let l(q) = q + 14. Let h be l(6). Let j(z) = 28*z**2 - 112*z - 120. Let v(k) = 4*k**2 - 2 - 16*k - 1 - 14. Let f(s) = h*v(s) - 3*j(s). Let f(w) = 0. What is w?
-1, 5
Let o(y) = 5*y**2 - 9*y**2 + 5*y**2 + 56 - 29*y. Let m be o(27). Find c, given that 3/11*c**m + 1/11*c - 3/11 - 1/11*c**3 = 0.
-1, 1, 3
Let r(c) = 34*c**2 + 1485*c + 559548. Let w(v) = -3*v**2 + v - 4. Let l(p) = 4*r(p) + 44*w(p). Solve l(x) = 0 for x.
-748
Let x(m) be the third derivative of -m**5/30 + 73*m**4/3 - 21316*m**3/3 - 1617*m**2. Find j such that x(j) = 0.
146
Let b(u) be the first derivative of 3/10*u**5 + 9/2*u + 137 - 3/4*u**4 - 2*u**3 + 3/2*u**2. Factor b(x).
3*(x - 3)*(x - 1)*(x + 1)**2/2
Let a(y) = y**3 - 6*y**2 + 2. Let m be (1/(-2))/((-10)/120). Let q be a(m). What is f in 32*f + 4*f**2 + 67*f**q - 7*f**2 + 4 = 0?
-1/4
Let y(w) be the second derivative of 19/6*w**3 + 0*w**2 + 1 + 1/12*w**4 - 80*w. Find l such that y(l) = 0.
-19, 0
Let u = 853 - 859. Let h be ((-3 - -10)/105)/(u/(-1458)). Factor h*r**2 + 33/5*r**3 + 24/5 + 15*r + 3/5*r**4.
3*(r + 1)**3*(r + 8)/5
Let y(q) be the second derivative of -2*q**7/63 - 26*q**6/45 + q**5/3 + 497*q**4/9 + 784*q**3/9 - 10976*q**2/3 - 84*q + 39. Factor y(b).
-4*(b - 4)**2*(b + 7)**3/3
Let l(m) be the third derivative of m**8/10080 - m**7/420 + m**6/45 + 7*m**5/12 - 47*m**2. Let x(u) be the third derivative of l(u). Solve x(j) = 0 for j.
2, 4
Suppose 8 = 4*m - 4*j, -7*m + 2*m = 4*j - 28. Let g = 678 + -676. Factor 9*y**3 - 25 + 25 - g*y**2 - m*y**2.
3*y**2*(3*y - 2)
Let o(h) = 51*h + 2. Let a be o(2). Find z, given that -12*z**3 + 3*z**4 - 12*z + 30*z**3 + 27*z**2 + 68 - a = 0.
-3, -2, 1
Let x = 3697 - 44363/12. Let b(i) be the third derivative of 0*i - x*i**5 + 0 + 2*i**2 - 5/3*i**3 - 5/8*i**4. Factor b(s).
-5*(s + 1)*(s + 2)
Let k = 968/51 + -44/357. What is z in -16/7*z**2 + k - 524/7*z = 0?
-33, 1/4
Factor -80*n**2 + 395*n - 46*n**2 - 131*n**2 - 83 + 383 + 5*n**3 + 357*n**2.
5*(n + 1)*(n + 4)*(n + 15)
Let a = -6619 - -6622. Solve -3/2*n**2 + 0 - 3*n + 9/2*n**a - 3/2*n**5 + 3/2*n**4 = 0.
-1, 0, 1, 2
What is f in -13/4*f**2 - 1/4*f**3 + 7 + 4*f = 0?
-14, -1, 2
Let n(p) be the second derivative of -1/27*p**4 - 1/45*p**5 + 4 + 1/27*p**3 + 1/9*p**2 + 1/189*p**7 + 1/135*p**6 - 2*p. Factor n(g).
2*(g - 1)**2*(g + 1)**3/9
Suppose -3*s + 3*c - 12 = 0, -2*s - 23 = 4*c - 63. Solve -4/9*w**3 + 4/9*w + 2/9*w**s - 2/9 + 0*w**2 = 0.
-1, 1
Let z(h) be the first derivative of -h**6/120 + 3*h**5/10 - 5*h**4/2 - 4*h**3/3 - 9*h + 17. Let v(k) be the third derivative of z(k). Factor v(n).
-3*(n - 10)*(n - 2)
Let r(m) be the first derivative of m**7/6300 + m**6/1350 - 26*m**3/3 - 4. Let h(x) be the third derivative of r(x). Factor h(y).
2*y**2*(y + 2)/15
Let i be (0 - -96)*27/81. Factor i*f + 112*f**2 - 245*f - 5*f**3 - 7*f - 5*f**4 - 2*f**2 + 120.
-5*(f - 2)**2*(f - 1)*(f + 6)
Factor 67*o**2 - 20*o**3 + 836904*o**4 - 836919*o**4 + 5*o**5 - 7*o**2.
5*o**2*(o - 3)*(o - 2)*(o + 2)
Let z(w) be the third derivative of -w**8/6720 + w**7/672 + 13*w**6/1440 + 7*w**5/480 - 2*w**3 + 70*w**2. Let l(y) be the first derivative of z(y). Factor l(o).
-o*(o - 7)*(o + 1)**2/4
Determine o, given that -21/2*o - 27/2 + 17/6*o**2 - 1/6*o**3 = 0.
-1, 9
Let o(m) be the second derivative of 0*m**4 + 66*m + 1/168*m**7 + 0*m**2 + 0*m**5 + 0*m**3 - 1/120*m**6 + 0. Factor o(h).
h**4*(h - 1)/4
Let k(h) be the third derivative of -h**7/105 - h**6/96 + 143*h**5/480 + 15*h**4/32 + 3*h**3/16 - 2194*h**2. Let k(r) = 0. What is r?
-3, -1/2, -1/8, 3
Let d(m) be the first derivative of -m**5/120 - 13*m**4/48 - 15*m**2/2 - m - 33. Let c(y) be the second derivative of d(y). Factor c(s).
-s*(s + 13)/2
Solve -831/5*w**3 + 42/5*w**4 + 546/5*w - 24 - 207/5*w**2 = 0 for w.
-1, 2/7, 1/2, 20
Let t(y) be the third derivative of -y**7/420 + 35*y**6/48 - 946*y**5/15 - 484*y**4/3 + 25*y**2 - 3. Determine v so that t(v) = 0.
-1, 0, 88
Let l(k) = -3*k**2 + 6*k. Let y(d) = 64*d**2 - 990*d - 856. Let w(f) = -44*l(f) - 2*y(f). Factor w(c).
4*(c + 1)*(c + 428)
Let n = -9/20 + 5/4. Let b(t) = t**2 - 175*t + 2109. Let q be b(162). Suppose n*k**q - 4/5*k + 8/5 - 8/5*k**2 = 0. Calculate k.
-1, 1, 2
Let d = -296 - -321. Suppose 3*k + u = 6*u + d, -20 = 4*u. Factor 4/5*n - 2/5*n**4 + k + 2*n**2 - 2/5*n**5 + 6/5*n**3.
-2*n*