16 - 26*k + 5. Factor q(b).
3*b**2*(b - 1)**2*(b + 5)/4
Let j = -3 - -6. Let l be (15*(-2)/4)/(j/(-6)). Factor -3*m**3 + 135 - 115 - l*m**2 - 2*m**3.
-5*(m - 1)*(m + 2)**2
Let m(s) = s**3 + 20*s**2 + 19*s + 4. Let y be m(-19). Let 405 - 221*h**3 + 5*h**5 - 21*h**4 - 20*h**4 - 14*h**y + 431*h**3 - 135*h - 270*h**2 = 0. What is h?
-1, 3
Let u be (-28)/(-1127)*28/24. Let p(m) be the first derivative of 1/23*m**2 - 4/23*m + u*m**3 - 11. Find a, given that p(a) = 0.
-2, 1
Suppose 5*h = 5*d - 700, 2*d = -8*h + 7*h + 280. Let o be 285/27 - d/20. Factor 112/9*q**2 + o - 32/3*q + 2*q**4 - 64/9*q**3 - 2/9*q**5.
-2*(q - 2)**4*(q - 1)/9
Let o(g) be the third derivative of g**8/2352 + 2*g**7/245 + 53*g**6/840 + 11*g**5/42 + 9*g**4/14 + 20*g**3/21 + 114*g**2 + 21*g. Factor o(r).
(r + 1)*(r + 2)**3*(r + 5)/7
Let q = 44243/170 - 2599/10. Suppose 58/17*b**4 - 16/17*b - 178/17*b**3 + 174/17*b**2 - q*b**5 - 32/17 = 0. What is b?
-1/3, 1, 4
Let x(i) be the first derivative of -130 + 22/5*i**2 + 2/5*i**3 - 32/5*i. Factor x(p).
2*(p + 8)*(3*p - 2)/5
Let q(g) be the first derivative of -g**7/4620 + 7*g**6/3960 - g**5/440 + 9*g**3 - g**2 + 82. Let t(p) be the third derivative of q(p). Let t(v) = 0. What is v?
0, 1/2, 3
Let a be 72/2 + (-36)/(-36). Suppose 0 = -a*l + 156 - 119. Let l + 1/4*y**2 + 5/4*y = 0. What is y?
-4, -1
Let u(j) be the first derivative of -26*j**5/45 + 7*j**4/9 - 2*j**3/27 + 5544. Factor u(v).
-2*v**2*(v - 1)*(13*v - 1)/9
Let v(j) be the first derivative of -4*j**5/25 - 2551*j**4/20 - 408946*j**3/15 - 353298*j**2/5 + 202248*j/5 - 13238. Solve v(b) = 0 for b.
-318, -2, 1/4
Determine a, given that -7/4*a**2 + 48*a - 1/4*a**3 - 171 = 0.
-19, 6
Factor 80/3*c - 1250/9 + 2/9*c**2.
2*(c - 5)*(c + 125)/9
Let a(w) = 7*w - 138. Let s be a(20). Suppose -258*o**3 + 262*o**3 - 53*o**2 - 40*o + 17*o**s = 0. Calculate o.
-1, 0, 10
Let g = 503/105 - 428/105. Factor 0 + g*z**2 - 1/7*z.
z*(5*z - 1)/7
Solve -47*n**4 + 48*n + 13*n**4 + 3*n**3 + 10*n**4 - 45*n**2 + 25*n**4 + 33*n = 0.
-9, 0, 3
Let o(r) be the first derivative of -4*r**2 - 5*r + 168. Let k be o(-1). Solve 0 + u**k + 0*u + 2/3*u**2 + 1/3*u**4 = 0.
-2, -1, 0
Suppose -59*p + 252 = -40*p + 65*p. What is r in 6/5*r**p + 0*r + 14/5*r**5 - 24/5*r**4 + 4/5*r**2 + 0 = 0?
-2/7, 0, 1
Factor 4524/11*n**2 - 18/11*n**3 + 3022/11*n + 504/11.
-2*(n - 252)*(3*n + 1)**2/11
Let o(u) = -u**5 - u**3. Let y(p) = -3*p**4 + 4*p**5 + p**2 + 6*p**3 + 0*p**2 - 2*p**2. Let c = 111 - 106. Let k(m) = c*y(m) + 15*o(m). Factor k(g).
5*g**2*(g - 1)**3
Let z = -6659 - -13319/2. What is p in 15/2 - z*p**2 - p = 0?
-5, 3
Find k, given that -27398/9*k + 442/9*k**2 + 106090/3 - 2/9*k**3 = 0.
15, 103
Find c, given that -4 - 6*c**3 + 3*c**3 - 16*c + 9*c**2 + 15 + 64*c + 25 = 0.
-2, -1, 6
Suppose -35 = -5*l - 15. Factor -43*y**4 - 864*y**3 - 42*y**4 - l*y**5 - 23*y**4 - 1728*y**2.
-4*y**2*(y + 3)*(y + 12)**2
Factor 570*x - 900 - 481/4*x**2 - 1/4*x**4 + 19/2*x**3.
-(x - 15)**2*(x - 4)**2/4
Suppose 539 = 35*d + 1097 - 628. Factor 0*i**d + 1/4*i**3 - 7/4*i - 3/2.
(i - 3)*(i + 1)*(i + 2)/4
Let r be (-20)/4*((-1)/4)/(795/1908). Let 2/3*k**r - 8/3*k**2 + 10/3*k - 4/3 = 0. Calculate k.
1, 2
Let t = -513 + 521. Factor -28*l**2 + 142*l**2 - 52*l + 25*l**4 + 2511*l**3 + t - 2606*l**3.
(l - 2)*(l - 1)*(5*l - 2)**2
Let u(i) = -2*i**2 + 2. Let c(k) = -9*k**2 - 82*k - 73. Let w(v) = c(v) - 4*u(v). Factor w(q).
-(q + 1)*(q + 81)
Let s(i) = -2*i**2 + 20*i - 11. Let o(v) = -v**2 + 7*v - 4. Let t = 323 - 334. Let w(a) = t*o(a) + 4*s(a). Factor w(c).
3*c*(c + 1)
Let w(d) be the first derivative of -d**3/3 - 1412*d**2 - 1993744*d - 2217. Factor w(p).
-(p + 1412)**2
Suppose 0 = 28*t - 33*t + s - 125, 2*s = -t - 25. Let d be (18 - (-413)/(-21))*3/t. Factor 0*o - 4/5 + d*o**2.
(o - 2)*(o + 2)/5
Suppose -3*n + 36 - 12 = 4*d, -8 = -n - 4*d. Suppose -2*w + n = -0*w. Solve 4/3 - 8/3*x**2 - 2/3*x - 2/3*x**5 + 4/3*x**w + 4/3*x**3 = 0.
-1, 1, 2
Suppose -28*m - 1971 = 2509. Let p = m + 162. What is u in -10/11*u**p - 6/11 + 16/11*u = 0?
3/5, 1
Let n = 290 - 286. Let a be ((-15)/10)/((-2)/4). Determine r, given that -4/5*r**a + 2/5*r**2 + 4/5*r - 2/5*r**n + 0 = 0.
-2, -1, 0, 1
Determine n, given that 11119059 + 6100*n - 4035*n**2 + 650*n**3 + 8*n**4 - 3*n**4 - 11121779 = 0.
-136, 1, 4
Suppose 0 = -56*i + 46*i + 50. Suppose 83*z = -i*z + 352. Factor 1/7*f**5 + 0 + 4/7*f**z + 0*f**2 + 0*f + 4/7*f**3.
f**3*(f + 2)**2/7
Let -453*y**3 + 39*y + y**5 + 74*y - 61*y - 10*y**5 - 300*y**2 - 150*y**4 + 104*y = 0. What is y?
-13, -2, 0, 1/3
Suppose 104*m - 4425 = 5*m - 1356. Let o(b) be the third derivative of 1/12*b**4 + 0*b + 1/75*b**6 + 4/75*b**5 + 0 + 1/15*b**3 + m*b**2. Factor o(x).
2*(x + 1)*(2*x + 1)**2/5
Let x(w) be the first derivative of w**6/360 - 5*w**5/12 + 625*w**4/24 + 4*w**3/3 - 7*w**2/2 - 137. Let y(g) be the third derivative of x(g). Factor y(j).
(j - 25)**2
Let f(w) be the second derivative of w**5/12 + 5*w**4/6 + 10*w**3/3 - 49*w**2/2 - 11*w. Let i(b) be the first derivative of f(b). Factor i(k).
5*(k + 2)**2
Let n = -27006 + 27009. Factor 4*f + 0 - 14/3*f**2 + 2/3*f**n.
2*f*(f - 6)*(f - 1)/3
Let u(r) = -10*r**3 + 2808*r**2 - 2628288*r + 820025793. Let g(w) = w**3 + 7. Let i(q) = -9*g(q) - u(q). Factor i(p).
(p - 936)**3
Let x = 15014 - 15011. Let m(j) be the third derivative of 0*j + 0 + 0*j**5 + 0*j**4 + 0*j**7 + 0*j**x - 38*j**2 - 1/112*j**8 + 1/40*j**6. Solve m(i) = 0 for i.
-1, 0, 1
Let f(n) be the first derivative of 5*n**4/4 - 40*n**3 + 8951. Factor f(s).
5*s**2*(s - 24)
Solve -1/3*o**5 + 392*o + 0 - 54*o**3 - 9*o**4 + 364/3*o**2 = 0.
-14, -2, 0, 3
Let m(s) be the third derivative of -s**5/80 + 23*s**4/16 - 30*s**3 + 227*s**2 - 3. Factor m(x).
-3*(x - 40)*(x - 6)/4
Find p, given that 2060*p**2 - 2*p - 2058*p**2 - 13 + 1 = 0.
-2, 3
Let z(r) be the second derivative of -r**8/23520 - r**7/2940 + r**5/105 + 7*r**4/12 + 2*r + 19. Let h(t) be the third derivative of z(t). Factor h(b).
-2*(b - 1)*(b + 2)**2/7
Let u(z) be the first derivative of 11/4*z**4 + 0*z - 2*z**3 + 1/2*z**2 - 6/5*z**5 + 196. Determine q so that u(q) = 0.
0, 1/3, 1/2, 1
Let t be (-5 - 585/(-126))/(-17 + (-708)/(-42)). Solve 10/3*w - 5/6*w**2 - t = 0.
1, 3
Let o(x) = 7*x + 340. Suppose -52*n - 528 = -41*n. Let p be o(n). Factor 0 + 2/19*m**p + 10/19*m**2 + 8/19*m**3 + 4/19*m.
2*m*(m + 1)**2*(m + 2)/19
Let f = 62 + -60. Factor 44*k**4 + 6*k**f - 3*k**2 + 2*k - 4*k - 45*k**4.
-k*(k - 1)**2*(k + 2)
Let t(g) = -g**3 + 7*g**2 + 2*g - 4. Let c be t(7). Let r be 1/(-1)*(-2)/(4/c). Factor -4*w + r*w + 9*w**2 + 11*w - 3*w**3.
-3*w*(w - 4)*(w + 1)
Let w(d) be the second derivative of 1/12*d**4 + 5/3*d**3 - 6 + 8*d**2 + 9*d. Factor w(q).
(q + 2)*(q + 8)
Let c = -8788 + 8791. Let r(s) be the second derivative of 1/4*s**4 + 1/2*s**c + 0 + 2*s - 3*s**2. Factor r(n).
3*(n - 1)*(n + 2)
Let t(z) be the third derivative of z**5/15 - 17*z**4/3 - 224*z**3 + 13*z**2. What is l in t(l) = 0?
-8, 42
Let l be 1 - ((-2)/(-4))/((-10)/(-180)). Let a be l/(48/10)*6/(-5). Factor -16/5*d**a - 14/5*d - 6/5*d**3 - 4/5.
-2*(d + 1)**2*(3*d + 2)/5
Let m = 29891 - 89657/3. Let -m*c + 0 - 2/3*c**2 = 0. What is c?
-8, 0
Let b be (-42)/(-36) - ((-98)/(-12) + (18 - 27)). What is h in -52/7*h**4 - 26/7*h**3 + 0*h + 0 - 2*h**5 + 12/7*h**b = 0?
-3, -1, 0, 2/7
Let g be (-6)/30 + (-18)/(-15). Let f be g/2 + -4 + 44/8. Find c such that -5*c**2 + 17*c + 3*c**f - c - 4*c - 18 = 0.
3
Let p(z) be the first derivative of z**4/18 + 14*z**3/27 - 56*z**2/9 - 88*z/3 + 2799. Let p(h) = 0. Calculate h.
-11, -2, 6
Let q(y) = y**5 - y**3 + 2*y. Let x(c) = 13*c**5 + 360*c**4 + 492*c**3 - 313*c**2 + 36*c. Let t(g) = 3*q(g) + x(g). Suppose t(s) = 0. Calculate s.
-21, -2, 0, 1/4
Suppose -2*q + 7*q + 8 = -3*l, 0 = -q - 4. Solve 7*u - 5*u**2 + 54 + l*u - 6*u + 6 = 0.
-3, 4
Let l(f) be the third derivative of -f**5/300 + 101*f**4/60 + 203*f**3/30 + f**2 + 134*f. Factor l(v).
-(v - 203)*(v + 1)/5
Let p = -99434 + 99436. Determine s so that 15/2*s**5 + 0 + 95/2*s**3 - 10*s**p - 10*s - 35*s**4 = 0.
-1/3, 0, 1, 2
Factor -88/7*w**3 - 90/7*w**2 + 0 + 0*w + 2/7*w**4.
2*w**2*(w - 45)*(w + 1)/7
Let o(m) = -15*m**3 + 375*m**2 + 850*m + 5. Let k(u) = -u**4 - 19*u**3 + 374*u**2 + 848*u + 4. Let v(x) = 5*k(x) - 4*o(x). What is w in v(w) = 0?
-12, -2, 0, 7
Suppose -7*d 