 is s?
-1, 1
Suppose -10*l = -3*l. Factor l*b**2 + 21313 - 6*b - 21305 + b**2.
(b - 4)*(b - 2)
Determine p so that 56/13*p**4 - 58/13*p**2 + 2/13 + 54/13*p - 54/13*p**3 = 0.
-1, -1/28, 1
Let f(x) be the third derivative of 0*x**3 - 1/140*x**7 + 0*x + 0*x**5 + 0*x**6 + 0*x**4 + 1/672*x**8 + 7 - x**2. Factor f(y).
y**4*(y - 3)/2
Let o = -75 - -123. Find n, given that -o*n**4 + 22*n**4 + 31*n**4 + 75*n**2 + 20 + 65*n + 35*n**3 = 0.
-4, -1
Let q = -2059714/7 - -294245. Factor -q*x**2 + 4/7*x + 0.
-x*(x - 4)/7
Let v(m) = 8*m**2 - 2*m - 6. Let y be v(15). Let 4*t**2 + y - 48*t - 50*t - 70*t = 0. What is t?
21
Determine t, given that -126647*t**2 + 290*t + 20*t + 126622*t**2 - 120 = 0.
2/5, 12
Let z(q) be the second derivative of -2*q**7/21 + 16*q**6/3 - 397*q**5/5 - 122*q**4/3 + 2560*q**3/3 - 1600*q**2 - q - 200. Determine s so that z(s) = 0.
-2, 1, 20
Suppose -46*a + 47*a + 1 = p, 5*p - 2 = 2*a. Let k(x) be the third derivative of -1/21*x**3 + 1/56*x**4 - 9*x**2 + 0*x - 1/840*x**6 + p + 0*x**5. Factor k(z).
-(z - 1)**2*(z + 2)/7
Factor -1020*x**4 - 50470*x**3 - 224132*x - 2*x**5 + 75076 - 2*x**5 - 82079*x**2 + 304023*x**2 - 64*x**4 - 21330*x**3.
-4*(x - 1)**3*(x + 137)**2
Let p be 40/(-4) - (-3 - 140/10) - 5. Factor -22/5*l - 48/5 - 2/5*l**p.
-2*(l + 3)*(l + 8)/5
Let a(d) = 33*d**2 - 3279*d + 3570. Let i(p) = 5*p**2 - 467*p + 510. Let j(w) = -4*a(w) + 27*i(w). Find l such that j(l) = 0.
-170, 1
Let c be (26 - 972/(-126)) + -32. What is j in -32/7*j**2 + 0 - 16/7*j - c*j**3 = 0?
-2, -2/3, 0
Let r(s) = -s**2 - s + 2. Let d(i) = 4*i**2 + 27*i + 17. Let l = -257 - -245. Let x(v) = l*r(v) - 4*d(v). Factor x(g).
-4*(g + 1)*(g + 23)
Suppose -732*t + 3576*t**2 - 7*t**5 - 7*t**5 + 1237*t + 2231*t + 12*t**5 + 50*t**4 + 892*t**3 = 0. What is t?
-6, -1, 0, 38
Solve 7*w**3 + 3*w**3 + 43265281 - 1929612*w - 2406*w**2 - 559114889 - 11*w**3 = 0.
-802
Let p(v) = v**3 + 13*v**2 - 3*v - 36. Let d be p(-13). Factor 4 - 8*w - 2*w**d + 1736*w**2 - 1746*w**2 - 4.
-2*w*(w + 1)*(w + 4)
Solve -33*t**3 - 7680*t - 70*t**3 + 1214*t**2 - 9*t**3 + 3*t**4 - 26*t**3 - 24576 + 802*t**2 = 0 for t.
-2, 16
Suppose 209*u = 15465 - 417. Solve -374*s - 10/3*s**3 + u*s**2 - 484/3 = 0.
-2/5, 11
Let o be 36/15 - (-30)/(-75). Let -6*d + 2 + 3*d**o + 199*d**3 - 193*d**3 - 5 = 0. What is d?
-1, -1/2, 1
Factor 8*q**2 + 48*q + 1/3*q**3 + 0.
q*(q + 12)**2/3
Let m(c) be the first derivative of 9 + 0*c - 5*c**2 - 5*c**3 - 5/4*c**4. Determine a so that m(a) = 0.
-2, -1, 0
Suppose 25*d - 20 = 55. Suppose -2 = -d*s - j, 2*j = 5*s + 1 - 19. Factor 0 - 3/4*l**s + 3/4*l.
-3*l*(l - 1)/4
Let d = 59 + -72. Let m = d + 16. Find l, given that 3*l**2 + 6*l**m + 3*l**4 - 13 + 13 = 0.
-1, 0
Factor -285 - 87/2*w - 3/2*w**2.
-3*(w + 10)*(w + 19)/2
Solve 79*g**2 - 90*g + 79*g**2 - 239*g**2 + 89 + 82*g**2 = 0 for g.
1, 89
Let v = -96656 - -483282/5. Let b(n) = -n**3 + 6*n**2 - 6*n + 7. Let g be b(5). Determine q so that 2/5 - 2/5*q**g + 2/5*q - v*q**3 = 0.
-1, 1
Let m(l) = 10*l + 310. Let g be m(-34). Let w be 148/240 + g/(-225). Determine a, given that -3/4*a + 3/2*a**3 - a**2 - w*a**5 + 1/2*a**4 + 1/2 = 0.
-1, 2/3, 1
Factor -13/2*p + 1/8*p**2 + 0.
p*(p - 52)/8
Factor 0*r + 118*r**3 - 92/7*r**2 + 18/7*r**4 + 0.
2*r**2*(r + 46)*(9*r - 1)/7
Let h(x) = 2*x**3 - 20*x**2 - 24*x. Let z(y) = y**4 + 2*y**2. Suppose 4*i + 17 = 18*m - 21*m, i = 3*m + 7. Let j(n) = i*z(n) - h(n). Factor j(a).
-2*a*(a - 3)*(a + 2)**2
Let y(g) = -5*g**2 - 268*g + 12. Let f(m) = 6*m**2 + 267*m - 15. Let v(b) = -4*f(b) - 5*y(b). Factor v(j).
j*(j + 272)
Let f(w) be the first derivative of w**3 - 165*w**2 - 333*w + 1002. Factor f(h).
3*(h - 111)*(h + 1)
Let g(d) be the third derivative of -d**5/100 + 451*d**4/20 - 203401*d**3/10 + 2*d**2 + 409. Suppose g(c) = 0. Calculate c.
451
Suppose 2*q - 3*a = -38, -11*q + 8*q = -a + 50. Let j(m) = -3*m**2 - 48*m. Let c be j(q). Factor 0 + 1/4*r + c*r**4 + 1/4*r**5 - 1/2*r**3 + 0*r**2.
r*(r - 1)**2*(r + 1)**2/4
Let w be 1/(0 + 3) + 112/24. Let 7*q**2 + 4*q**4 - 76*q - 56*q**3 + 24*q**2 + 4*q**w + 20 + 73*q**2 = 0. Calculate q.
-5, 1
Let f(w) be the first derivative of w**6/420 - 2*w**5/21 + 39*w**4/28 - 54*w**3/7 - w**2/2 + 6*w - 64. Let n(s) be the second derivative of f(s). Factor n(u).
2*(u - 9)**2*(u - 2)/7
Let h(y) = 26*y**2 + 73*y - 228. Let p(f) = -3*f**2 + f - 1. Let i(t) = -2*h(t) - 18*p(t). Find s such that i(s) = 0.
3, 79
Factor 110*i - 149*i**2 + 150*i**2 + 50*i + 3*i.
i*(i + 163)
Let m = -541899/50 - -10838. Let u(n) be the second derivative of 0*n**2 - n + 1/210*n**7 + 0*n**6 - m*n**5 + 0 + 0*n**4 + 1/30*n**3. Factor u(q).
q*(q - 1)**2*(q + 1)**2/5
Suppose -58*y + 486 = 23*y. Let l(o) be the second derivative of -7/75*o**y - 2/105*o**7 + 0*o**2 + 0 + 0*o**3 - 1/15*o**4 - 7/50*o**5 + 9*o. Solve l(m) = 0.
-2, -1, -1/2, 0
Let u(a) be the second derivative of a**5/20 + 13*a**4/12 + 25*a**3/3 + 28*a**2 - 58*a + 11. Suppose u(p) = 0. What is p?
-7, -4, -2
Let l(f) = -9*f**2 + 4123*f - 2175691. Let p(n) = -4*n**2 + 2065*n - 1087846. Let i(r) = -3*l(r) + 7*p(r). Factor i(c).
-(c - 1043)**2
Let j = 4588/3 - 1530. Let w = j - -20/21. Factor -5/7*q + 6/7 - w*q**2 + 1/7*q**3.
(q - 3)*(q - 1)*(q + 2)/7
Let n(o) be the first derivative of -2*o - 4/9*o**3 + 25 - 1/36*o**4 - 8/3*o**2. Let t(p) be the first derivative of n(p). Factor t(u).
-(u + 4)**2/3
Let d(a) be the first derivative of 10*a**2 + 20*a + 151 + 5/3*a**3. Determine x, given that d(x) = 0.
-2
Let m(v) = -35*v**2 + 61*v + 180. Let g(k) = -29*k**2 + 60*k + 176. Let h(j) = 6*g(j) - 5*m(j). Factor h(l).
(l + 3)*(l + 52)
Suppose -2*x + r - 2 = 0, -x - 2*r = 9 - 3. Let h be 2/(x/(-3)) - (-110)/(-70). Find s, given that 0*s + 0 + h*s**3 - 8/7*s**4 - 2/7*s**2 = 0.
0, 1/4, 1
Let n(v) be the second derivative of 0 + 7/2*v**3 + 0*v**2 + 7/120*v**5 + 1/360*v**6 + 1/4*v**4 + 3*v. Let z(y) be the second derivative of n(y). Factor z(g).
(g + 1)*(g + 6)
Let 36*a**4 + 6673*a**3 + 5*a**2 - 5*a**2 - 6538*a**3 - 3*a**5 = 0. What is a?
-3, 0, 15
Let o(l) = l**2 + 26*l + 53. Let k be o(-23). Let r = -10 - k. Find v such that 3*v - 6 - r*v**2 - 10*v**3 + 7*v**3 + 12 = 0.
-2, -1, 1
Let v = 476 - 474. Find q such that 5*q**3 + 47*q**2 - 60*q + 53*q**2 - 80*q**v = 0.
-6, 0, 2
Let v(w) = 3*w**2 - 3*w - 39. Let b be v(10). Suppose -b + 252 = 7*c. Factor -2/19*s**c - 2/19*s**2 + 0*s + 2/19*s**4 + 2/19*s**5 + 0.
2*s**2*(s - 1)*(s + 1)**2/19
Let d(x) be the second derivative of x**7/280 + x**6/12 + 4*x**5/5 + 4*x**4 - 37*x**3/2 - 177*x. Let k(h) be the second derivative of d(h). Factor k(i).
3*(i + 2)*(i + 4)**2
Let y(r) be the second derivative of 30*r**2 + 15*r - 1/3*r**3 - 3 - 1/6*r**4. Solve y(h) = 0 for h.
-6, 5
Let d = 603 - 848. Let r = d - -249. Factor 12*o**3 - r*o**4 + 0*o**2 + 0*o + 0 + 1/3*o**5.
o**3*(o - 6)**2/3
Let b(k) = -84*k - 1929. Let z be b(-23). Let i(a) be the first derivative of 1/28*a**4 + 5/14*a**2 - 11 + 2/7*a + 4/21*a**z. Find o, given that i(o) = 0.
-2, -1
What is m in 288/5*m - 28/5*m**5 - 144/5 - 76/5*m**4 + 140*m**2 + 44*m**3 = 0?
-3, -2, -1, 2/7, 3
Suppose 5*y - 4*s = 7, 2 = -y - y + 4*s. Factor -12*j - 259*j**y + 131*j**3 + 126*j**3 + 14*j**2.
-2*j*(j - 6)*(j - 1)
Let z(j) = -7*j**2 - 81*j + 100. Let y(l) = 15*l**2 + 162*l - 204. Let f(v) = 4*y(v) + 9*z(v). Suppose f(k) = 0. What is k?
-28, 1
Suppose 32*q + 1 = 97. Suppose 0 = -b + 4, -b + 0 = q*p - 10. Factor 12/5*v + 3/5*v**p + 9/5.
3*(v + 1)*(v + 3)/5
Let b(y) = y**2 + 1531*y - 291824. Let p(i) = -3*i**2 - 3063*i + 583640. Let u(c) = 14*b(c) + 6*p(c). Find n, given that u(n) = 0.
382
Let a(t) be the third derivative of -t**6/60 + 257*t**5/120 - 91*t**4/3 + 29*t**3 + 50*t**2 - 20. What is g in a(g) = 0?
1/4, 6, 58
Let g be 8/(-1)*((-2)/3)/((-360)/(-135)). What is b in -b**5 + 13/3*b**3 - 10/3*b - 29/9*b**4 + 37/9*b**g - 8/9 = 0?
-4, -1, -2/9, 1
Let t be (-46)/(-14) - ((-10878)/343 - -32). Factor 0 + 0*n + 2/9*n**t - 58/9*n**2.
2*n**2*(n - 29)/9
Let d(p) = -2*p**2 - p - 3. Let s(v) = -6*v**2 + 8427*v + 4443649. Let h(k) = 5*d(k) - s(k). Suppose h(y) = 0. What is y?
-1054
Suppose 29 + 3 = 8*u. Factor 16*z**2 - u*z - 9*z**3 + 25*z**3 + 2*z - 16 - 14*z**3.
2*(z - 1)*(z + 1)*(z + 8)
Let k(t) be the second derivative of -23/24*t**4 + 9*t**2 + 0 - 173*t + 1/20*t**6 - 9/40*t**5 + 2*t**3 + 1/84*t*