1)**2
Let k be (13 + -17)*(-3062)/(-28). Let r = k + 440. Factor 10/7*w**3 + 0 + r*w**2 - 4/7*w.
2*w*(w + 2)*(5*w - 1)/7
Let h(y) be the third derivative of -y**5/120 - 55*y**4/48 - 17*y**3 + 1555*y**2. Factor h(b).
-(b + 4)*(b + 51)/2
Let x(s) be the first derivative of -57/4*s**4 - 3/5*s**5 + 86 - 60*s + 21*s**3 + 57/2*s**2. Factor x(b).
-3*(b - 1)**2*(b + 1)*(b + 20)
Suppose -87 - 78 = -62*y + 21. Let r(z) be the first derivative of 0*z**2 + 9 + 2/15*z**y + 1/20*z**4 + 0*z - 1/25*z**5. Factor r(t).
-t**2*(t - 2)*(t + 1)/5
Suppose -5*m = 4*o - 63 + 16, 13*m = 4*o + 79. Determine d, given that 0*d + 0 - 3/7*d**5 + 0*d**2 - 24/7*d**4 - 3*d**o = 0.
-7, -1, 0
Let x be (-126)/8 + (70 + -71)*-15 - (-11)/4. What is s in -1/3*s**5 + 0 + 0*s**x - s**4 - 2/3*s**3 + 0*s = 0?
-2, -1, 0
Suppose -1032*g - 7396/3*g**2 - 108 = 0. Calculate g.
-9/43
Let b(w) be the second derivative of -w**4/48 + 247*w**3/24 + 31*w**2 + 9*w - 50. Factor b(k).
-(k - 248)*(k + 1)/4
Let t(w) be the third derivative of w**7/210 - 89*w**6/120 + 161*w**5/20 + 1237*w**4/24 + 332*w**3/3 + 12268*w**2. Factor t(x).
(x - 83)*(x - 8)*(x + 1)**2
Let i(z) be the first derivative of -28/5*z + 9/5*z**2 - 71 - 2/15*z**3. What is r in i(r) = 0?
2, 7
Let r(f) be the second derivative of f**7/105 + 9*f**6/25 + 49*f**5/50 - 9*f**4/10 - 10*f**3/3 - 12500*f. Find u, given that r(u) = 0.
-25, -2, -1, 0, 1
Let k = 17 + -13. Suppose 3*r - 4*d = 22, -9 = k*r + 4*d - 1. Factor 0*s**2 + 17*s - 6 - 3*s**r - 8*s.
-3*(s - 2)*(s - 1)
Let z(k) = 10*k**3 - 9*k**2 - 162*k - 478. Let x(t) = -17*t**3 + 18*t**2 + 325*t + 955. Let n(a) = -3*x(a) - 5*z(a). Solve n(y) = 0.
-5, 19
Let m(y) = -4*y**3 - 44*y**2 - 64*y + 136. Let d(r) = r**3 + 14*r**2 + 21*r - 48. Let g(t) = 10*d(t) + 3*m(t). Factor g(j).
-2*(j - 4)*(j - 3)*(j + 3)
Factor 404/7*c + 408/7 - 4/7*c**2.
-4*(c - 102)*(c + 1)/7
Suppose -45 = 18*g - 9. Let p(h) = -2*h**5 - 16*h**4 - 46*h**3 - 54*h**2 - 24*h. Let w(k) = k**2. Let o(v) = g*p(v) + 4*w(v). Determine l so that o(l) = 0.
-3, -2, -1, 0
Let q = 54 - 52. Let a(k) = -k**2 - 5*k + 6. Let j(r) = -r**2 + r. Let f(g) = q*j(g) - a(g). Let f(y) = 0. Calculate y.
1, 6
Let m(l) = -l**2 + 3*l + 6. Let w = 41 - 37. Let y be m(w). Solve -6*k - 3 - 3*k**y + 10*k + 2*k = 0.
1
Let a(d) = -10*d**3 - 3*d**2 - 29*d + 15. Let o(x) = 7*x**3 - x**2 + 27*x - 15. Let l(c) = -2*a(c) - 3*o(c). Solve l(p) = 0.
1, 3, 5
Let i(u) = u**2 + u - 11. Let a be i(-4). Let p be (0*((-6)/(-36) - 0))/a. Solve p - 6*d + 2*d**2 + 2*d**4 + 13/2*d**3 = 0.
-2, 0, 3/4
Factor 118807 + 227666 + 2*b**2 + 282819 + b**2 - 2748*b.
3*(b - 458)**2
Let q be (-8 - 190/(-25))/((-9)/57). Let k(p) = -10*p + 95. Let f be k(9). Determine j, given that 8/15*j - 28/15*j**4 - 2/5*j**f - 8/15*j**2 - q*j**3 + 0 = 0.
-2, -1, 0, 1/3
Let m(o) be the first derivative of -o**4/36 - 20*o**3/3 - 600*o**2 + 62*o - 195. Let u(a) be the first derivative of m(a). Solve u(y) = 0.
-60
Let a(u) be the second derivative of -u**4/6 + 3122*u**3/3 - 2436721*u**2 + 6526*u. Factor a(i).
-2*(i - 1561)**2
Let c(b) be the first derivative of 4*b**5/5 - 25*b**4 + 536*b**3/3 - 256*b**2 - 1152*b - 5176. Determine v, given that c(v) = 0.
-1, 4, 18
Let l be 20/150 - (-216730)/(-761475). Let o = 2/781 - l. Solve 0*s + 16/13*s**2 - 4/13*s**4 + 8/13*s**3 - o*s**5 + 0 = 0.
-2, 0, 2
Let g(x) = 5*x**3 - 47*x**2 - 166*x + 1658. Let w be g(9). Factor 9/7*y - 3/7*y**5 + 9/7*y**4 - 3/7 - 6/7*y**w - 6/7*y**3.
-3*(y - 1)**4*(y + 1)/7
Let i(j) be the second derivative of -j**6/2 - 37*j**5/4 + 145*j**4/12 + 185*j**3/6 - 65*j**2 - 727*j. Find h, given that i(h) = 0.
-13, -1, 2/3, 1
Let p(l) = l**3 + l**2 - 3*l + 1. Let k(o) = 10*o**3 + 95*o**2 - 435*o + 445. Let u(q) = -k(q) + 5*p(q). Find j, given that u(j) = 0.
-22, 2
Let h(p) be the first derivative of -p**5/270 - p**4/36 + 4*p**3/27 - 48*p**2 + 128. Let t(r) be the second derivative of h(r). Factor t(w).
-2*(w - 1)*(w + 4)/9
Let q = 21534/5 - 4306. Let a(c) be the first derivative of -2/3*c**3 + 7/5*c**2 + q*c - 2/5*c**4 + 2. Suppose a(m) = 0. What is m?
-2, -1/4, 1
Let -208*v + 469/4*v**2 - 5/4*v**3 + 92 = 0. Calculate v.
4/5, 1, 92
Suppose -6*d + 122 = 110. Determine z so that 33 + 45 + 4*z**2 - 69 + 10*z - 3*z**d = 0.
-9, -1
Let t(o) be the third derivative of 1/42*o**4 + 0*o**3 - 1/1470*o**7 + 0 - 81*o**2 + 0*o + 1/168*o**6 - 2/105*o**5. Factor t(m).
-m*(m - 2)**2*(m - 1)/7
Let o(t) be the second derivative of -t**7/3528 + 11*t**6/5040 - 13*t**4/6 - 40*t - 1. Let b(s) be the third derivative of o(s). Factor b(d).
-d*(5*d - 11)/7
Let x = 713/88 - 85/11. Let w = 634 - 1265/2. Factor -3/4 + w*v**2 + 9/8*v**3 - x*v.
3*(v + 1)**2*(3*v - 2)/8
Let g(x) be the third derivative of 0*x**4 - 1/165*x**6 + 1/1155*x**7 + 1/1848*x**8 + 0 + 11*x - 2/165*x**5 + 0*x**3 - 3*x**2. Determine v so that g(v) = 0.
-2, -1, 0, 2
Let t(f) = -6*f + 52. Let r be t(9). Let d be ((-6)/252*-7)/((-1)/r). Solve -1/3 - 2/3*u - d*u**2 = 0.
-1
What is y in -6/5*y**3 - 4/5*y**2 + 32/15*y - 2/15*y**4 + 0 = 0?
-8, -2, 0, 1
Let c(o) = 7*o**3 + 1484*o**2 - 3025*o - 29. Let i(a) = a**3 + 212*a**2 - 432*a - 4. Let p(k) = 4*c(k) - 29*i(k). Let p(j) = 0. What is j?
-214, 0, 2
Let h(d) = d**4 + d**3 - 2*d**2 - 1. Let x(v) = -8 - 3*v**3 + 26 - 33 - 66*v**2 - 24*v + 12*v**4. Let a(n) = 15*h(n) - x(n). Solve a(l) = 0 for l.
-2, 0
Let h(o) be the first derivative of -o**4/4 - 424*o**3/3 - 845*o**2/2 - 422*o + 5305. Factor h(l).
-(l + 1)**2*(l + 422)
Factor -1440 - 10*l**4 - 1444801/10*l**2 + 2402*l**3 + 28824*l.
-(l - 120)**2*(10*l - 1)**2/10
Suppose -4*l + 5*k = 58, -4*l - 1 - 49 = -k. Let p be 2*8/(-9)*l/8. Factor 1/3*o**4 - 4/3*o + p*o**2 - 5/3*o**3 + 0.
o*(o - 2)**2*(o - 1)/3
Let g = 50296 - 150878/3. Let -g*u - 2/3*u**2 - 4 = 0. What is u?
-3, -2
Solve -2/9*y**2 - 440/9 - 98/9*y = 0.
-44, -5
Let h(l) be the first derivative of -8 + 1/5*l**4 + 4/15*l**3 + 0*l - 4/5*l**2. Factor h(b).
4*b*(b - 1)*(b + 2)/5
Find i such that -13797403 - 4*i**5 + 13797883 - 55*i**3 + 8*i**4 + 1072*i + 283*i**3 + 808*i**2 = 0.
-3, -2, -1, 10
Let u(z) be the second derivative of 1/21*z**7 - 1/3*z**6 + 0*z**3 - 1/2*z**4 + 7/10*z**5 + 0*z**2 + 0 + 67*z. Factor u(b).
2*b**2*(b - 3)*(b - 1)**2
Suppose 13*s = 10*s + 438. Let l be 26 + 0 - 4 - -1. Factor 151*i**2 + 30 - l*i - s*i**2 - 12*i + 0*i.
5*(i - 6)*(i - 1)
Let j(s) = -4*s**3 + 3*s + 2. Let c(p) = 9*p**3 - 6*p - 4. Let h = -493 - -486. Let d(v) = h*j(v) - 3*c(v). Find x, given that d(x) = 0.
-1, 2
Suppose 0 + 70/3*h**3 - 214/9*h**4 - 2/9*h - 22/3*h**2 + 8*h**5 = 0. What is h?
-1/36, 0, 1
Let y(o) be the second derivative of o**7/84 + 8*o**6/5 + 421*o**5/8 - 4751*o**4/12 + 1025*o**3 - 1250*o**2 + 670*o - 4. Determine v, given that y(v) = 0.
-50, 1, 2
Let l(j) = 3*j**2 - 3*j + 3. Let y be l(1). Suppose -3*i + 5*a - 6*a + 8 = 0, y*i - 5 = -4*a. Factor -109 + i*m - 3*m**3 + 54 - 3*m**2 + 58.
-3*(m - 1)*(m + 1)**2
Suppose -97*k = -117*k + 168100. Factor -1675*d**2 - 1680*d**2 + 3350*d**2 - 410*d - k.
-5*(d + 41)**2
Let -5*j - 646/3 + 1/3*j**2 = 0. Calculate j.
-19, 34
Let r(v) = -4*v**2 + 1766*v - 1782. Let k(i) = 3*i**2 + 2*i + 5. Let f(w) = -2*k(w) - r(w). Factor f(q).
-2*(q - 1)*(q + 886)
Factor 8 + 1/3*n**2 - 14/3*n.
(n - 12)*(n - 2)/3
Suppose 28 = -1018*o + 1025*o. Suppose o*v - 23*v = -76. Factor 1/6*l**v + 0 + 0*l + 1/6*l**5 + 0*l**2 + 0*l**3.
l**4*(l + 1)/6
Let k = 729 + -727. Let i(g) = -8*g**4 - 22*g**3 + 16*g**2 + 32*g - 8. Let c(v) = v**4 + v**3 - 2*v - 1. Let b(t) = k*i(t) + 20*c(t). Find w such that b(w) = 0.
-1, 1, 3
Let o(p) be the third derivative of 64*p**3 - 2*p + 4/3*p**4 + 1/90*p**5 + 0 + 64*p**2. What is k in o(k) = 0?
-24
Let s = -290 + 303. Factor 280*g**5 + 1619*g**2 - 4086*g**3 - 246*g - 64*g**5 + s - 39598*g**4 + 42082*g**4.
(g - 1)*(g + 13)*(6*g - 1)**3
Let v = 155663/4 + -38915. Suppose -1/4*l**3 + v*l**2 - 3 + l = 0. Calculate l.
-2, 2, 3
Let a(o) be the third derivative of 0*o**4 + 0*o + 0 - 1/144*o**8 + 1/126*o**7 - 51*o**2 + 1/180*o**6 + 0*o**3 + 0*o**5. Factor a(k).
-k**3*(k - 1)*(7*k + 2)/3
Let u(q) = -q**2 - 40*q + 2. Let j be u(-40). Let n(i) be the first derivative of -i**3 + 0*i - 3/2*i**j + 10. Find x such that n(x) = 0.
-1, 0
Let d(l) be the third derivative of -l**8/504 - 17*l**7/315 + 19*l**6/60 - 59*l**5/90 + 5*l**4/9 - 176