0. What is y?
-1, 0
Suppose 0 = -12*q - 9*q + 25221. Let m = q - 1199. Find v, given that -4/3*v - 8/3 + 4/3*v**m = 0.
-1, 2
Suppose 4*c - 3*c - 3*l = 11, -5*l = -c + 15. Factor 4*p**2 + 19*p**3 - 16*p**2 + c*p**3 - 4*p**4 - 40*p.
-4*p*(p - 5)*(p - 2)*(p + 1)
Let s(j) be the third derivative of -13/12*j**4 - 2*j**2 + 22/3*j**3 - 47*j + 0 + 1/30*j**5. Factor s(t).
2*(t - 11)*(t - 2)
Let h(x) be the second derivative of 2*x**7/21 + 11*x**6/6 + 91*x**5/10 - 49*x**4/12 - 1266*x. Factor h(z).
z**2*(z + 7)**2*(4*z - 1)
Let f(b) be the first derivative of -7*b**6/120 + 19*b**5/60 - b**4/3 - 2*b**3/3 - 9*b**2 + 2*b + 224. Let g(h) be the second derivative of f(h). Factor g(s).
-(s - 2)*(s - 1)*(7*s + 2)
Let o(n) be the third derivative of -n**6/120 - 19*n**5/60 - 15*n**4/4 - 749*n**2. Factor o(t).
-t*(t + 9)*(t + 10)
Let c(m) be the first derivative of -m**6/780 + m**5/390 + 27*m**2/2 + 27. Let z(a) be the second derivative of c(a). Factor z(b).
-2*b**2*(b - 1)/13
Let z be ((-2)/(-10)*0)/(-2). Suppose 3*s + z*s = 15. Find i such that 0*i**5 + 6*i**3 - 15*i**4 - s*i**2 - 5*i**5 + 3*i**3 - 24*i**3 = 0.
-1, 0
Let i = 2363/24 + -11767/120. Factor -24/5 + i*h**2 + 2/5*h.
2*(h - 3)*(h + 4)/5
Let o(z) be the first derivative of -13*z**3 - 132*z**2 + 63*z + 2778. Determine k so that o(k) = 0.
-7, 3/13
Let w(c) be the first derivative of c**5/15 + 11*c**4/4 + 148*c**3/9 + 38*c**2 + 112*c/3 - 2782. Determine h so that w(h) = 0.
-28, -2, -1
Let z = 8947/1677 - 1/559. Let b be 6/27 + 64/36. Factor -z*f + 0 + 4/3*f**b.
4*f*(f - 4)/3
Let t be (55/(-20))/(1/(-4)). Suppose -7*b + 23*b - t*b = 0. Factor 0 + b*w**2 - 1/9*w**4 + 0*w + 1/9*w**3.
-w**3*(w - 1)/9
Let b = -444 + 434. Let a be b/12 + (-868)/(-840). Factor -2/5*g**2 + 1/5*g - a*g**3 + 2/5.
-(g - 1)*(g + 1)*(g + 2)/5
Let f(n) be the second derivative of n**7/13860 + n**6/1980 + n**5/660 - n**4/6 + 4*n**2 + 14*n. Let j(o) be the third derivative of f(o). Factor j(s).
2*(s + 1)**2/11
Let p(i) be the third derivative of -i**6/30 - 52*i**5/15 - 493*i**4/6 + 3364*i**3 - 8*i**2 + 125*i. Determine w so that p(w) = 0.
-29, 6
Let d = 103 - 182. Let g = d + 83. Find w such that -4*w + 65*w - 40*w**g + 110*w**3 - 4*w**5 + 9*w**5 - 120*w**2 - 16*w = 0.
0, 1, 3
Let g(j) be the first derivative of 7*j**4/6 + 16*j**3/9 - 80*j**2/3 + 8265. Factor g(b).
2*b*(b + 4)*(7*b - 20)/3
Let x(f) be the second derivative of 1369/4*f**3 + 37/8*f**4 + f + 1/40*f**5 + 2 + 50653/4*f**2. Solve x(n) = 0 for n.
-37
Let t be (92 + -90)/((-2)/(-3)). Factor -5*p**5 - 50*p**4 + 106*p**t - 1231*p**3 - 100*p**4.
-5*p**3*(p + 15)**2
Let d be -8 + ((-536)/(-49) - 2). Let a = d - 4/49. Factor -3/7*q**3 + 0 + a*q - 3/7*q**2.
-3*q*(q - 1)*(q + 2)/7
Suppose 3*b - 2*j + 758 = 0, -16*j + 18*j + 778 = -3*b. Let u be (-696)/b*-4 + 11. Factor 0 + 11/8*q**2 + 0*q + u*q**4 + 3/2*q**3.
q**2*(q + 1)*(q + 11)/8
Factor -9*p + p**4 + 4*p**3 + 25*p**3 - 35*p + 48*p**2 + 25*p**3 - 69*p**3.
p*(p - 11)*(p - 2)**2
Let v(o) be the first derivative of -10*o**2 + 266 + 0*o - 4*o**4 + 38/3*o**3 - 2/5*o**5. Factor v(x).
-2*x*(x - 1)**2*(x + 10)
Let z(h) = 29*h**4 - 269*h**3 + 1004*h**2 - 1589*h + 864. Let o(b) = 14*b**4 - 134*b**3 + 503*b**2 - 794*b + 432. Let p(m) = -5*o(m) + 2*z(m). Factor p(n).
-3*(n - 4)**2*(2*n - 3)**2
Let d(u) be the third derivative of -u**6/40 - 27*u**5/10 + 57*u**4/8 + 55*u**3 - 8*u**2 - 304. Factor d(s).
-3*(s - 2)*(s + 1)*(s + 55)
Let c(h) = -h**4 + h**2 + 1. Let k be (1 - (-9)/2) + 6/(-4). Let g(s) = s**5 + s**2 + 1. Let a(o) = k*g(o) - 4*c(o). Solve a(l) = 0 for l.
-1, 0
Let m be 25 + -4 - (40 + -49). Let u(f) be the third derivative of -5/2*f**3 - m*f**2 + 0*f + 0 - 1/2*f**4 + 1/20*f**5. Find n such that u(n) = 0.
-1, 5
Let j(l) = 8*l**4 - 14*l**3 - 34*l**2 + 6*l - 6. Let w(f) = 9*f**4 - 13*f**3 - 36*f**2 + 7*f - 7. Let s(q) = 7*j(q) - 6*w(q). Factor s(y).
2*y**2*(y - 11)*(y + 1)
Let -1152*h + 160*h**2 - 88/9*h**3 + 3072 + 2/9*h**4 = 0. What is h?
8, 12
Let x(z) be the third derivative of -7*z**6/30 - 227*z**5/15 - 155*z**4/3 - 15*z**2 + 6*z - 1. What is n in x(n) = 0?
-31, -10/7, 0
Let n(s) be the second derivative of 10*s + 4*s**2 - 13/9*s**3 + 0*s**4 + 1 + 1/30*s**5. Factor n(i).
2*(i - 3)*(i - 1)*(i + 4)/3
Let k(v) be the third derivative of -4 + 0*v - 1/60*v**4 + 4/15*v**3 - 6*v**2 - 1/50*v**5. Determine z, given that k(z) = 0.
-4/3, 1
Let d(p) be the third derivative of 5*p**8/112 - 8*p**7/105 - 37*p**6/60 - 2*p**5/3 + p**4/8 + 2*p**2 - 628. Solve d(o) = 0.
-1, 0, 1/15, 3
Let k(a) be the second derivative of 2883*a**5/5 - 868*a**4 - 363*a**3/2 - 27*a**2/2 - 753*a - 3. Factor k(h).
3*(h - 1)*(62*h + 3)**2
Let f(r) be the second derivative of 0*r**3 + 1/120*r**6 + 39 + 11/80*r**5 + 5/24*r**4 + 0*r**2 - r. Factor f(i).
i**2*(i + 1)*(i + 10)/4
Let a(r) be the second derivative of -r**6/300 - 177*r**5/200 + 179*r**4/40 - 539*r**3/60 + 9*r**2 - 1546*r. Suppose a(p) = 0. Calculate p.
-180, 1
Let 71*d**4 + 216*d**4 + 58*d**4 + 7480*d**2 - 7185*d + 4880 - 2560*d**3 - 5*d**5 - 2655*d = 0. What is d?
2, 61
Factor -1846*k**2 + 396*k**3 - 880*k - 81/4*k**4 - 100.
-(k - 10)**2*(9*k + 2)**2/4
Let z = 1733/1225 - -17/1225. Let m be 8/12*9/2. Factor -2/7 + z*a**2 - 2/7*a - 6/7*a**m.
-2*(a - 1)**2*(3*a + 1)/7
Let u(y) be the second derivative of 11/20*y**5 + 2*y - 11/6*y**3 - 37 - 1/30*y**6 + 5*y**2 - 3/4*y**4. Factor u(x).
-(x - 10)*(x - 1)**2*(x + 1)
Suppose 0 = i + 4 - 2. Let y be (15/(-5) + -1)/(i + 1). Factor 1/2*n**y - 1/6*n**5 - 1/3*n**2 + 1/2*n - 1/6 - 1/3*n**3.
-(n - 1)**4*(n + 1)/6
Suppose -22/15*b**3 - 8/15*b**4 + 52/15*b**2 + 2/15*b**5 + 64/15 + 128/15*b = 0. What is b?
-2, -1, 4
Let l(f) be the second derivative of -16*f**6/75 - 224*f**5/25 + 95*f**4/6 + 641*f**3/30 + 87*f**2/10 - 4*f - 44. Solve l(s) = 0.
-29, -1/4, 3/2
Factor 86862/13*u**2 + 30/13*u**4 - 2794/13*u**3 - 905262/13*u + 119164/13.
2*(u - 31)**3*(15*u - 2)/13
Let d(g) be the third derivative of g**7/210 + 16*g**6/15 + 1277*g**5/20 - 1419*g**4/2 + 2178*g**3 + 4660*g**2. Factor d(i).
(i - 3)*(i - 1)*(i + 66)**2
Let p(z) be the third derivative of z**7/560 - 121*z**6/960 + 157*z**5/480 - 13*z**4/64 + 3327*z**2. Let p(y) = 0. Calculate y.
0, 1/3, 1, 39
Let o(m) = -3*m**4 - 11*m**3 + 5*m**2 + 7*m + 3. Let p = -177 - -180. Let x(a) = -2*a**4 - 12*a**3 + 6*a**2 + 8*a + 4. Let i(j) = p*x(j) - 4*o(j). Factor i(v).
2*v*(v + 1)**2*(3*v - 2)
Factor 196/3 + 14*r + 2/3*r**3 - 8*r**2.
2*(r - 7)**2*(r + 2)/3
Let t be 69463/(-12024) + 2 - 20/(-5). Let j = -1/1336 + t. Let 2/9*x**3 + 2/3*x - j - 2/3*x**2 = 0. What is x?
1
Let -6/5*s**2 + 52/5*s - 12/5*s**3 - 1/5*s**4 - 33/5 = 0. Calculate s.
-11, -3, 1
Let c be ((-71)/175 + (-114)/(-3591)*9)*-15. Suppose -3/5*t**2 + c*t**4 + 6/5*t**5 + 0*t + 0*t**3 + 0 = 0. What is t?
-1, 0, 1/2
Suppose 69 = 25*w - 206. Suppose 4*a + 1 = 3*i, 10*a + 14 = w*a + 4*i. Factor 1/5*p + 0 + 6/5*p**3 + 7/5*p**a.
p*(p + 1)*(6*p + 1)/5
Let j(r) = 2*r**3 - 4*r**2 - 5*r + 26. Let l be j(4). Factor -45*p - 28*p + 18*p**2 + l*p.
3*p*(6*p - 1)
Determine x so that 713*x**5 - 134*x**3 - 10*x**2 - 359*x**5 - 59*x**2 - 351*x**5 - x**3 - 63*x**4 = 0.
-1, 0, 23
Suppose 3/8*o**5 + 0 + 5283/8*o**3 + 600*o + 1230*o**2 + 123/4*o**4 = 0. Calculate o.
-40, -1, 0
Suppose -3322 = 5*d - 6*v - 3286, 24 = -5*d + 4*v. Factor 1/9*b**3 + 1/9*b**2 - 2/9*b + d.
b*(b - 1)*(b + 2)/9
Let a(m) be the first derivative of m**8/84 - m**6/15 + m**4/6 + m**2 + 21*m + 32. Let j(q) be the second derivative of a(q). Find k, given that j(k) = 0.
-1, 0, 1
Let n be 2 + 1/(-6)*0. Suppose -338*l**2 - 343*l**n + 675*l**2 + 32*l - 10 = 0. What is l?
1/3, 5
Let h = 326 - 322. Factor 376*f + 15*f**2 - 576 - 320*f**2 + 680*f - 88*f**3 - 83*f**2 - h*f**4.
-4*(f - 1)**2*(f + 12)**2
Let u(h) be the first derivative of h**7/630 + h**6/36 + 2*h**5/45 - 5*h**4/36 - h**3/2 - 8*h**2 - 53. Let k(r) be the second derivative of u(r). Factor k(n).
(n - 1)*(n + 1)**2*(n + 9)/3
Let r(f) be the second derivative of -f**4/18 + 64*f**3/9 - 124*f**2/3 + 803*f. Factor r(x).
-2*(x - 62)*(x - 2)/3
Let c(q) be the second derivative of q**6/24 - q**5/6 + 5*q**4/24 + 237*q**2/2 - 62*q. Let b(v) be the first derivative of c(v). Factor b(z).
5*z*(z - 1)**2
Let q(p) be the second derivative of -p**7/168 - 7*p**6/40 - 161*p**5/80 - 547*p**4/48 - 