11*k = 0.
-1, 3
Let b(q) = 3*q**2 + 15*q - 12. Let o be b(-6). Suppose 5*r - o*r = -n - 1, 0 = -4*r - n + 14. Factor -5/4*u**2 - 5/4*u**r + 0 + 0*u.
-5*u**2*(u + 1)/4
Suppose 0 = -48*u + 43*u - 8980. Let y be (-17)/(-102) - u/24. Find x, given that 15*x - 3/4*x**2 - y = 0.
10
Let q(b) be the second derivative of b**6/50 + 3*b**5/20 + 7*b**4/20 + 3*b**3/10 + 601*b. Factor q(o).
3*o*(o + 1)**2*(o + 3)/5
Let h = -112951 + 564757/5. Solve -96/5 + h*n**4 - 1/5*n**5 - 112/5*n**2 + 176/5*n + 24/5*n**3 = 0.
-6, 2
Factor 2/3*g**2 - 14/3*g - 88/3.
2*(g - 11)*(g + 4)/3
Let v be 2/(-4*6/(-348)). What is j in -86*j**3 + 79*j**4 + 16*j**5 + 36*j**3 + j**4 + v*j**2 - 42*j**3 - 5*j**2 = 0?
-6, 0, 1/2
Let y = 258597/4 - 65358. Let c = 709 + y. Factor 5/4*k + 3/4*k**2 - 1/4*k**3 - c*k**4 + 1/2.
-(k - 2)*(k + 1)**3/4
Let m be (-9)/(-4) + (-846)/376. Factor 1/5*u**3 + 0*u + m + u**2.
u**2*(u + 5)/5
Let y be 515/850*(-1519)/(-1147). Let q = -3/1258 + y. Factor -2/5*i + 2/5*i**4 - 2/5*i**5 + 2/5 - q*i**2 + 4/5*i**3.
-2*(i - 1)**3*(i + 1)**2/5
Let c(v) = -69*v + 1. Let o be c(-2). Factor 800*h + 199 + h**5 + 222 + 485*h**2 + 19*h**4 + o*h**3 + 26 + 53.
(h + 2)**2*(h + 5)**3
Let y(v) be the third derivative of v**5/80 + 469*v**4/16 - 235*v**3 - 3*v**2 + 356*v. Factor y(k).
3*(k - 2)*(k + 940)/4
Let d be ((-16)/(-2))/(6/63). Let b = d + -60. Determine j, given that -4*j**2 - 20 + 5*j - 5*j + b*j = 0.
1, 5
Let j(y) be the third derivative of y**6/360 - 13*y**5/90 + 143*y**4/72 + 85*y**3/9 - 14*y**2 + 4*y - 2. Solve j(q) = 0 for q.
-1, 10, 17
Let u(m) be the third derivative of m**6/40 + m**5/10 - 7*m**4/8 + 2*m**3 + 585*m**2 + 1. Factor u(v).
3*(v - 1)**2*(v + 4)
Let w(f) = 23*f**2. Let q(l) = 185*l**2 - 97*l**2 - 80*l**2. Suppose -5 - 1 = -b. Let p(x) = b*w(x) - 17*q(x). Factor p(r).
2*r**2
Let d be 102/(-25) + 58/725 - -9. Factor -100*r**2 + d*r**4 + 10*r**3 + 37440 - 37440 + 120*r.
5*r*(r - 2)**2*(r + 6)
Let h(v) be the second derivative of 0 + 1/36*v**4 - 25*v + 529/6*v**2 - 23/9*v**3. Suppose h(o) = 0. What is o?
23
Suppose 5*i - 24 = -77*f + 75*f, -f - 3 = -5*i. Let q(b) be the second derivative of -11*b + 3/40*b**5 + 3*b**i + 0 - 3/8*b**4 + 0*b**3. Factor q(s).
3*(s - 2)**2*(s + 1)/2
Let z = -6/31601 - -4645371/126404. Solve z + 3/4*i**2 - 21/2*i = 0.
7
Let c(k) be the first derivative of -15/2*k**4 - 30*k**2 + 40/3*k + 66 + 2/3*k**5 + 485/18*k**3. Factor c(u).
5*(u - 4)**2*(2*u - 1)**2/6
Let k(c) be the first derivative of 39*c**3 - 465*c**2 - 48*c + 807. Suppose k(m) = 0. Calculate m.
-2/39, 8
Let l be 8/100*5 - (-28)/5. Suppose l*x - x = 180. Let x - 52*r + 85 + r**2 + 74*r = 0. What is r?
-11
What is q in 3/2*q + 3/2*q**5 - 3*q**3 - 1125*q**2 + 1125/2 + 1125/2*q**4 = 0?
-375, -1, 1
Let 1164*d - 17*d**4 - 10*d**4 - 346 - 86 - 23*d**4 - 1068*d**2 + 20*d**4 + 369*d**3 - 3*d**5 = 0. What is d?
-18, 1, 2, 4
Suppose 27*x - 4281 = -4200. Let q(s) be the second derivative of 0 + 16*s - 2*s**2 + 1/2*s**5 + 7/3*s**x - 3/2*s**4 - 1/15*s**6. Suppose q(p) = 0. What is p?
1, 2
Factor 22*f**2 - 60 - 5*f**3 - 11*f - 11*f**2 + 15*f + 4*f**3 - 8*f.
-(f - 10)*(f - 3)*(f + 2)
Let d = -203 + 211. Factor 4*r**3 + 98*r + 22*r**2 + 60 + 29*r - 11*r + 30*r**2 - d*r**3.
-4*(r - 15)*(r + 1)**2
Let k(x) be the first derivative of -2*x**5/25 - 11*x**4/5 - 2*x**3/15 + 264*x**2 - 1440*x + 1134. Factor k(z).
-2*(z - 4)**2*(z + 15)**2/5
Let f be (6006/3146)/(60/66). Determine v, given that -1/10*v**3 - 19/10*v**2 - f + 41/10*v = 0.
-21, 1
Let h(u) = -12*u + 3 - 6 + 5 + 4. Let v be h(-15). Determine o, given that -42*o**4 - 170 + v + 72*o + 36*o**2 - 40*o**3 - 42*o**3 = 0.
-2, -2/3, -2/7, 1
Suppose 0 = -43*g + 22210 + 48525. Let j = -1642 + g. Factor 144/13 + 10/13*f**j + 124/13*f**2 + 408/13*f.
2*(f + 6)**2*(5*f + 2)/13
Let p = 452681 + -452676. Factor -5/3*j**2 + p + 10/3*j.
-5*(j - 3)*(j + 1)/3
Let i(z) be the second derivative of -441*z**2 - 1 - 1/6*z**4 - 14*z**3 + 7*z. Find p, given that i(p) = 0.
-21
Suppose 11*g - 14 = 12*g + 4*b, -12 = 4*g + 5*b. Determine t, given that 2*t**3 - 16*t - 4*t**3 + 2 - 2 - 18*t**g = 0.
-8, -1, 0
Factor -8/3 + 2*a**2 + 8/3*a**3 - 8/3*a + 2/3*a**4.
2*(a - 1)*(a + 1)*(a + 2)**2/3
Let t(m) = -4*m - 22. Let z be t(-5). Let i be z/13 - 70/(-455). Determine k, given that -1/2*k - 1/2*k**3 + i + k**2 = 0.
0, 1
Let a(r) be the third derivative of r**6/30 + 2*r**5/5 - 109*r**4/6 - 156*r**3 - 4*r**2 - 14*r + 57. Solve a(m) = 0.
-13, -2, 9
Factor 384 + 49008*u**3 - 770*u + 307*u**2 + 81*u**2 - 49010*u**3.
-2*(u - 192)*(u - 1)**2
Let w(x) = x**2 + 17*x - 34. Let m be w(-19). Find a, given that -6606*a**3 - 16*a + 6582*a**3 - 10*a**2 - 26*a**2 - 4*a**m = 0.
-4, -1, 0
Let b(d) be the first derivative of -d**3/6 - 285*d**2/4 - 142*d - 3797. Suppose b(c) = 0. What is c?
-284, -1
Let p be (-563)/(-42) + 6 + 595/(-98). Suppose -2/3*k**3 - p + 10/3*k**2 + 8/3*k = 0. What is k?
-2, 2, 5
Let n(m) = -5*m**2 - 531*m + 974. Let i be n(-108). Let y(w) be the first derivative of 2/5*w**i + 15 + 6/5*w - 2/15*w**3. Factor y(s).
-2*(s - 3)*(s + 1)/5
Let x(p) be the third derivative of -p**7/105 + 244*p**6/35 - 151828*p**5/105 - 6320*p**4 + 8400*p**3 - 13*p**2 - 7*p + 11. Find f, given that x(f) = 0.
-2, 2/7, 210
Let l = 28464/7 - 142236/35. Factor 14/5 - l*v - 2/5*v**2.
-2*(v - 1)*(v + 7)/5
Let l = 96 + -82. Let o be l/(-4)*20/(-35). Factor -3*n**o - 4*n - 10*n**2 + 10*n + 15*n**2 + 4.
2*(n + 1)*(n + 2)
Suppose -4*v = -4*d - 532, -2*v + 265 = 11*d - 12*d. Let -101*y**3 + 6 + 90*y**2 + 15*y**4 + 26*y**3 + 72*y**2 + 18 - 3*y**4 - v*y = 0. Calculate y.
1/4, 2
Let c(l) be the second derivative of 4*l**5/5 + 31*l**4/3 + 28*l**3/3 - 98*l**2 + 3475*l. Factor c(d).
4*(d - 1)*(d + 7)*(4*d + 7)
Let h = 37053 - 259370/7. Factor -1/7 - 5/7*c**4 - 5/7*c - h*c**5 - 10/7*c**3 - 10/7*c**2.
-(c + 1)**5/7
Factor 0 + 1/2*z**2 + 54*z.
z*(z + 108)/2
Solve -15872*k + 15744 - 2824*k**2 + 8663*k**4 + 9*k**5 + 3468*k**3 - 5*k**5 - 9183*k**4 = 0.
-2, 1, 4, 123
Let z(b) be the first derivative of 7688/9*b**3 - 31/3*b**4 + 0*b + 55 + 2/45*b**5 - 238328/9*b**2. Suppose z(k) = 0. What is k?
0, 62
Let i(w) be the third derivative of -w**8/2352 + 2*w**7/49 - 213*w**6/140 + 27*w**5 - 1701*w**4/8 + 1066*w**2 + 2*w. Factor i(o).
-o*(o - 21)**2*(o - 9)**2/7
Let y(s) be the third derivative of s**5/360 + 31*s**4/144 + 46*s**3/9 + 581*s**2. Determine c so that y(c) = 0.
-23, -8
Let c be -69*(3/45*6)/(273/(-65)). Solve 104/21*x**3 + 6/7*x**4 + 0 - 12/7*x + c*x**2 = 0 for x.
-3, 0, 2/9
Let b be (-31)/124*4/3*((3 - -17) + -20). Determine d, given that -10*d - 2/11*d**2 + b = 0.
-55, 0
Let m(r) = 2*r**2 - 6*r. Let t be m(4). Suppose -4*b - 5*q = -28, 3*b - 14 = -t*q + 6*q. Suppose -33*j + 22*j**b - 23*j**2 + 28*j = 0. Calculate j.
-5, 0
Let c(n) = 40*n + 2080. Let j be c(-52). Let g(s) be the second derivative of 3/20*s**5 + j - 27/4*s**4 + 243/2*s**3 - 2187/2*s**2 + 36*s. Factor g(m).
3*(m - 9)**3
Let h(s) = 325*s**2 - 377*s + 2. Let g(w) = -643*w**2 + 757*w - 4. Let y(f) = 5*g(f) + 11*h(f). Solve y(p) = 0.
1/180, 1
Suppose 3*l - 7*l + 7*f = 11*f + 20, -2*f = 14. Factor -21/4 - 3/4*i**l + 6*i.
-3*(i - 7)*(i - 1)/4
Find g, given that 400/3 - 896/3*g**2 + 404/3*g - 303*g**3 - 3*g**4 = 0.
-100, -1, -2/3, 2/3
Solve 46*c**2 + 1/5*c**3 - 46 - 1/5*c = 0 for c.
-230, -1, 1
Let u be 57/(-12) + 7 + (-13 - (-6583)/580). Factor -66/5*m**2 - u*m**3 + 864/5 - 288/5*m.
-3*(m - 2)*(m + 12)**2/5
Let f(j) = -2*j - 460*j**2 + 1 + 0 + 461*j**2. Let q(r) = r**2 + 494*r - 15871. Let o(w) = 5*f(w) - q(w). Factor o(x).
4*(x - 63)**2
Let z be (-7)/(-24) - 621/(-1656). Let p(q) be the first derivative of 1/12*q**4 + z*q - 1/6*q**2 - 2/9*q**3 + 7. Factor p(d).
(d - 2)*(d - 1)*(d + 1)/3
Suppose 2*r = -5*t + 300, 6*t = 3*t + 3*r + 180. Determine m so that -35*m**2 + 3*m**3 + 8*m**3 - t - 6*m**3 - 4*m + 84*m = 0.
2, 3
Let o(d) be the first derivative of -d**6/15 - 2*d**5 - 47*d**4/10 - 46*d**3/15 + 631. Factor o(f).
-2*f**2*(f + 1)**2*(f + 23)/5
Let q(w) = 5*w**4 - 29*w**3 + 71*w**2 + 25*w - 72. Let l(t) = -17*t**4 + 88*t**3 - 213*t**2 - 74*t + 216. Let k(o) = -4*l(o) - 14*q(o). Solve k(u) = 0 for u.
-1, 1, 3, 24
Let -244/5 - 2/15*u**2 + 134/15*u = 0. What is u?
6, 61
Determine w so that 3251*w**3 + 12*w + 10549*w**3 - 12*w + 495*w**4 + 5*w**5 + 7