*i**2/4 - 5522*i. Find r, given that x(r) = 0.
1, 714
Let o(f) be the first derivative of f**8/12600 - f**6/900 - f**5/450 + 57*f**3 - 155. Let u(s) be the third derivative of o(s). What is p in u(p) = 0?
-1, 0, 2
Let l(x) be the second derivative of x**5/70 - 155*x**4/42 + 307*x**3/21 - 153*x**2/7 + 1136*x. Find y such that l(y) = 0.
1, 153
Factor -32 - 1/5*d**2 - 37/5*d.
-(d + 5)*(d + 32)/5
Suppose 2*o - 5*y - 29 = 0, 363*y + 14 = 2*o + 361*y. Factor -4/7*i**3 - 20/7*i**o - 16/7*i + 0.
-4*i*(i + 1)*(i + 4)/7
Let s(o) = -7*o**3 - 4*o**2 + 8*o + 9. Let l = 204 - 206. Let m(d) = 6*d**3 + 4*d**2 - 8*d - 6. Let x(y) = l*s(y) - 3*m(y). Factor x(q).
-4*q*(q - 1)*(q + 2)
Factor 97*y - 128 + 125/4*y**2 - 1/4*y**3.
-(y - 128)*(y - 1)*(y + 4)/4
Let t = 85 + -90. Let s be (-4)/t*(-30)/(-12). Let 3*a**3 - 1644*a**s + a**3 + 2*a**4 + 1646*a**2 = 0. What is a?
-1, 0
Let f be (-2387)/(-105) + (-5 - -8) - 2/15. Let x(c) be the first derivative of -f*c - 32 - 2/15*c**3 + 16/5*c**2. Factor x(u).
-2*(u - 8)**2/5
Solve 412/11*a - 338/11*a**2 + 10/11 - 84/11*a**3 = 0 for a.
-5, -1/42, 1
Suppose -12*f + 107 = -5*o - 11*f, 4*o + 94 = -2*f. Let h be (1 + -2)/(o/330). Factor -3/2*r**2 - 75/2 + h*r.
-3*(r - 5)**2/2
Let c(s) be the third derivative of -s**7/210 + s**6/20 + 4*s**5/15 - 65*s**2 - 12*s. Determine w so that c(w) = 0.
-2, 0, 8
Let w(f) be the first derivative of -f**5/90 - f**4/2 - 9*f**3 - 81*f**2 - 55*f - 8. Let n(d) be the first derivative of w(d). Find g such that n(g) = 0.
-9
Let p(h) be the third derivative of 2/9*h**4 + 0*h - 2/315*h**7 - 8/9*h**3 + 1/9*h**5 + 224*h**2 + 1/252*h**8 - 1/18*h**6 + 0. Find n such that p(n) = 0.
-2, -1, 1, 2
Let p(n) be the third derivative of n**7/1050 - n**6/20 + 49*n**5/300 + 8*n**4/5 + 56*n**3/15 + 2*n**2 + 46. Factor p(z).
(z - 28)*(z - 4)*(z + 1)**2/5
Let w = -2187756/5 + 437840. What is z in -w - 76/5*z - 1/5*z**2 = 0?
-38
Find z such that 15/2 + 1/2*z**2 - 4*z = 0.
3, 5
Let c be 2/(-4) + 7878/52. Suppose -c = -7*n - 130. Factor 1/2*h**5 - 2*h**n + 0*h + 3/2*h**4 + 0 + 0*h**2.
h**3*(h - 1)*(h + 4)/2
Find j such that -40716*j**2 - 3555760*j - 1/5*j**4 - 3515200 - 781/5*j**3 = 0.
-260, -1
Let y(h) be the second derivative of 40*h + 0*h**3 - 1/5*h**5 + 0*h**2 + 1 - 2/105*h**7 + 2/15*h**4 + 8/75*h**6. Suppose y(r) = 0. Calculate r.
0, 1, 2
Let v = 97 + -91. Let l be 175/v + (-6)/36. Find n such that l*n + 94*n - 919 - 4*n**2 - 27*n + 343 = 0.
12
Let g(i) be the first derivative of 0*i + 0*i**2 - 1/3*i**6 + 27 - 2*i**3 - 2*i**5 - 7/2*i**4. Find r, given that g(r) = 0.
-3, -1, 0
Let i(a) be the second derivative of 23/3*a**3 + 7/15*a**6 - 6*a**2 - 23/10*a**5 - 1/6*a**4 - 2 + 111*a. Determine x so that i(x) = 0.
-1, 2/7, 1, 3
Let q(f) be the second derivative of 7/2*f**4 + 0 - 66*f + 108*f**2 + 3/20*f**5 + 30*f**3. Find n such that q(n) = 0.
-6, -2
Let l(j) = 3*j - 39. Let n be l(14). Factor 14*c**2 + 34*c + 8 + 217*c**n + 10 - 219*c**3.
-2*(c - 9)*(c + 1)**2
Suppose -8*q = -4*k - 40, -29*q + 32*q - 12 = 3*k. Factor -74/7*n - 64/7*n**k - 10/7*n**3 - 20/7.
-2*(n + 1)*(n + 5)*(5*n + 2)/7
Let u be 22/(-110)*3*(-30)/48. Find d, given that u - 9/8*d - 3/8*d**3 + 9/8*d**2 = 0.
1
Let h be ((-5)/(-1) + -6)*1*-3. Solve -39*i**h + 3*i**2 - 5 + 44*i**3 - 14*i**2 + 4 + 7*i = 0 for i.
1/5, 1
Let p(o) be the second derivative of -o**7/17640 - 7*o**6/360 - 343*o**5/120 + 20*o**4 - o**3/6 + 56*o. Let t(z) be the third derivative of p(z). Factor t(j).
-(j + 49)**2/7
Factor -57/4*t**2 + 33/2*t - 3/4*t**3 + 30.
-3*(t - 2)*(t + 1)*(t + 20)/4
Let n be (-120)/234 - 1*26/(-39). Find f such that -16/13*f + 24/13 + n*f**2 = 0.
2, 6
Suppose 4*j + 3*a - 43 = 0, 85*a - 45 = 80*a. Let k(g) be the third derivative of 1/6*g**j + 0*g**3 + 0*g + 1/105*g**5 + 9*g**2 + 0. Factor k(u).
4*u*(u + 7)/7
Let h(n) be the third derivative of -n**6/1800 - 35*n**3/2 - 11*n**2. Let k(i) be the first derivative of h(i). Factor k(o).
-o**2/5
Let w(m) = m**4 + 4*m**3 - 5*m**2 + 12*m. Let t(q) = q**2 - q. Let v(i) = -10*t(i) - w(i). Find s, given that v(s) = 0.
-2, -1, 0
Suppose 0 = -k + 10 - 0. Suppose 3*r - 5 = j, -2*r + k = 2*j - 3*r. Determine f so that -6*f**2 + f**3 - 648*f + 651*f + 3 + 3*f**4 - j*f**3 + 3*f**5 = 0.
-1, 1
Let s(p) be the first derivative of 3/4*p**2 + 18*p - 16 - 1/2*p**3. Factor s(c).
-3*(c - 4)*(c + 3)/2
Let x(h) be the first derivative of h**6/180 - h**5/60 - h**4/2 + 76*h**3/3 + 199. Let n(l) be the third derivative of x(l). Factor n(o).
2*(o - 3)*(o + 2)
Let n(y) = -y**2 + 18*y - 62. Let q be n(13). Solve 44*s - 47*s**q + 41 + 81*s**2 - 33*s**2 + 12*s**5 - 81 - 9*s**3 - 8*s**4 = 0 for s.
-2, -1, 1, 5/3
Find f, given that -2/15*f**2 + 382/15 - 76/3*f = 0.
-191, 1
Suppose 37*k + 428 = 128*k + 64. Factor -3/2*x**3 - 9/2*x**2 - 3 + 3/2*x**k + 15/2*x.
3*(x - 1)**3*(x + 2)/2
Let y be 4/(-8)*0*((-99)/(-22) + -5). Let y*n + 0 + 0*n**2 + 2/5*n**5 + 26/5*n**4 + 24/5*n**3 = 0. Calculate n.
-12, -1, 0
Let n(x) be the first derivative of 109 + 0*x**2 - 4/9*x**3 - 1/3*x**4 + 0*x. Factor n(z).
-4*z**2*(z + 1)/3
Let l(f) be the third derivative of 102*f**2 - 1/6*f**5 + 0*f + 0 + 0*f**3 - 5/3*f**4 + 1/24*f**6. Factor l(w).
5*w*(w - 4)*(w + 2)
Let d(y) be the first derivative of y**4/6 - 1250*y**3/3 + 390625*y**2 - 488281250*y/3 - 628. Solve d(z) = 0 for z.
625
Let v(i) = -6*i**2 + 0*i + 10*i**2 - 1 + 2*i + 11*i**2. Let l be v(-2). Factor -4*w + 46*w**4 - 6*w**3 - l*w**4 - 2*w + 21*w**2.
-3*w*(w - 1)*(w + 2)*(3*w - 1)
Solve 44*p**4 - 16*p**4 - 18*p**4 + 20*p + 4*p**2 - 20*p**3 - 16*p**4 + 2*p**4 = 0 for p.
-5, -1, 0, 1
Let k be -1*(-4)/(-20)*-3. Let m(v) = 2*v**3 + 35*v**2 + 153*v + 2. Let b be m(-9). Determine w so that -k*w**3 + 0 + 1/5*w**b - 1/5*w**5 + 3/5*w**4 + 0*w = 0.
0, 1
Find o, given that -1555/3*o**3 - 1552/3 + 1160/3*o**2 + 1556/3*o + 392/3*o**4 - 1/3*o**5 = 0.
-1, 1, 2, 388
Let a(q) be the first derivative of q**5/30 + 13*q**4/24 - 8*q**3/9 - 7*q**2/3 + 1050. Find t such that a(t) = 0.
-14, -1, 0, 2
Let r(y) = y**3 - 406*y**2 - 1351*y - 457. Let o(q) = 51*q**2 + 169*q + 58. Let c(n) = 51*o(n) + 6*r(n). Factor c(v).
3*(v + 3)*(v + 24)*(2*v + 1)
Let z(c) be the second derivative of -c**6/240 - 7*c**5/32 + 3*c**4/8 - 87*c. Suppose z(y) = 0. Calculate y.
-36, 0, 1
Let c(j) be the second derivative of 0 + 55/6*j**3 + 0*j**2 + 5/12*j**4 + 105*j. Factor c(v).
5*v*(v + 11)
Suppose 74505*p - 52 = 74492*p. Find c, given that -84/11*c**3 + 72/11*c - 46/11*c**2 + 18/11*c**p + 40/11 = 0.
-2/3, 1, 5
Let g(n) be the second derivative of n**6/195 - n**5/130 - n**4/3 + 28*n**3/13 - 72*n**2/13 + 2*n - 1914. Determine y so that g(y) = 0.
-6, 2, 3
Let g(s) be the first derivative of -s**6/3 - 2*s**5 + 21*s**4/2 - 46*s**3/3 + 8*s**2 - 301. Solve g(p) = 0.
-8, 0, 1
Let b(l) be the third derivative of l**5/120 - 17*l**4/48 + 13*l**3/3 + 1999*l**2. Find u, given that b(u) = 0.
4, 13
Let i(h) be the first derivative of -2*h**3/3 + 23*h**2 + 100*h - 4149. Factor i(u).
-2*(u - 25)*(u + 2)
Determine z so that -906*z**2 - 520*z**2 + 106*z**2 - 5*z**3 - 87120*z = 0.
-132, 0
Let f = 1123321748 - 10272777372647/9145. Let p = -2/1829 + f. Let p*j**3 - 7/5*j - 2/5*j**2 + 2/5 = 0. Calculate j.
-1, 2/7, 1
Let s = 1984 - 1963. Let l(j) be the first derivative of -1/6*j**3 - s - 7/4*j**2 - 3*j. Factor l(b).
-(b + 1)*(b + 6)/2
Let u**5 + 4*u**4 + 26964*u + 132496 - 11423*u**2 + 27*u**4 + 41634*u + 52978*u - 473*u**3 = 0. What is u?
-28, -1, 13
Factor -266/3*n**2 - 1/6*n**4 + 0 - 68/3*n**3 - 88*n.
-n*(n + 2)**2*(n + 132)/6
Let g(w) be the first derivative of 2*w**5/55 - 7*w**4/11 + 2*w**3 + 112*w**2/11 + 128*w/11 + 1086. Factor g(f).
2*(f - 8)**2*(f + 1)**2/11
Let x be (1/3*4)/(679/2037). Solve -9/5 + 6/5*h**3 - 6/5*h + 12/5*h**2 - 3/5*h**x = 0 for h.
-1, 1, 3
Let x(g) = 14*g**3 - 2*g**2 + 3*g - 1. Let z(v) = -2671*v**3 + 2662*v**2 - 691*v + 5. Let k(a) = 5*x(a) + z(a). Factor k(r).
-r*(51*r - 26)**2
Suppose 16 = 6*z - 14. Let y = z - -11. Find o such that -6*o**4 + 20*o - 45*o**2 - 7*o**4 + 14*o**3 + 8*o**4 + y*o**3 = 0.
0, 1, 4
Let s be (5/(-220))/(9 - (-24836)/(-2758)) + 42/(-24). Determine w, given that -20/11*w**4 - s*w**3 + 0 + 20/11*w**2 - 2/11*w**5 + 32/11*w = 0.
-8, -2, -1, 0, 1
Factor 8995*c + c**3 - c**3 + 6*c**2 - 63*c**2 - 5*c**3 - 533*c**2 - 32340.
-5*(c - 7)**2*(c 