 t = -307601/20 + 154123/10. Determine j, given that 0 - 33*j**2 + t*j**3 - 27/4*j**4 - 9*j = 0.
-2/9, 0, 2, 3
Let f(d) be the first derivative of -d**6/600 - 11*d**5/100 + 6*d**4/5 - 19*d**3 + 81. Let b(h) be the third derivative of f(h). Factor b(x).
-3*(x - 2)*(x + 24)/5
Let o(v) be the second derivative of 7/2*v**3 + 9*v**2 + 0*v**4 - 3/20*v**5 + 24*v + 0. Find k, given that o(k) = 0.
-2, -1, 3
Let o = 3/689366 - -1378717/3446830. Suppose -o*t**3 - 168/5*t - 32/5*t**2 - 288/5 = 0. Calculate t.
-6, -4
Suppose -2*o + 56 = -4. Factor 52*w**2 - 49*w**2 - 14*w - o + 0 + 5*w.
3*(w - 5)*(w + 2)
Let k(o) be the first derivative of -o**3/21 - 25*o**2/7 + 159*o/7 + 1148. Let k(s) = 0. What is s?
-53, 3
Let k(r) be the second derivative of r**5/20 + 31*r**4/12 + 319*r**3/6 + 1089*r**2/2 + 862*r. Factor k(u).
(u + 9)*(u + 11)**2
Let y be 5/7 - (27/14)/3*(-428)/(-642). Solve 0*p + 0 + 0*p**3 - 2/7*p**2 + y*p**4 = 0.
-1, 0, 1
Let w be (38 - 36)*(-2)/(-16). Factor 1/2*p**2 + 1/4*p - 1/2*p**3 - 1/4*p**4 - w + 1/4*p**5.
(p - 1)**3*(p + 1)**2/4
Let u(m) be the first derivative of -3*m**4/16 - 75*m**3/2 + 909*m**2/8 - 114*m + 942. Factor u(l).
-3*(l - 1)**2*(l + 152)/4
Let m(x) = 44*x - 1448. Let n be m(33). Let b(u) = -11*u + 8*u**2 - 13*u - 1 + 25. Let d(g) = -7*g**2 + 23*g - 24. Let j(z) = n*d(z) + 3*b(z). Factor j(t).
-4*(t - 3)*(t - 2)
Let n(u) be the second derivative of u**4/36 - 11*u**3/3 - 69*u**2/2 + 6226*u. Let n(f) = 0. Calculate f.
-3, 69
Suppose -348 = -5*n - 98. Let z = n + -48. Factor z*u**3 + 19*u**2 + u**3 - 9*u - 7*u + 2*u.
u*(u + 7)*(3*u - 2)
Let y be 186/20 - 9/30. Let p(n) = -n**2 + 5*n + 38. Let i be p(y). Factor -12*l + 3/2*l**i + 24.
3*(l - 4)**2/2
What is i in -626/3*i - 2/3*i**2 + 632 = 0?
-316, 3
Suppose -4*h**2 + 848 + 732 - 228*h - 2228 = 0. What is h?
-54, -3
Let b(n) be the third derivative of -248/15*n**5 - 304/105*n**7 - 167/12*n**4 + 2/21*n**8 - 7*n**3 + 50*n**2 + 0*n - 54/5*n**6 - 2. Suppose b(k) = 0. What is k?
-1/2, 21
Let s(v) be the second derivative of 1/4*v**4 - 2*v + 1/2*v**3 - 3*v**2 + 47. Solve s(j) = 0.
-2, 1
Let x = -17825/26 + 303129/442. Factor -28/17*c**3 - x*c + 10/17*c**4 + 24/17*c**2 - 2/17.
2*(c - 1)**3*(5*c + 1)/17
What is x in -43/3*x**2 + 1350 - 555/2*x - 1/6*x**3 = 0?
-45, 4
Let b(a) be the second derivative of -a**6/10 + 21*a**5/20 - 5*a**4/4 - 7*a**3/2 + 9*a**2 - a - 3775. Solve b(j) = 0 for j.
-1, 1, 6
Let m(a) be the third derivative of a**5/390 + 839*a**4/78 + 43*a**3 + 10802*a**2. Find n such that m(n) = 0.
-1677, -1
Let p be 0 + (3 - 7) - -3. Let x be ((-2 + 2)/3)/(p + 2). Factor 0*v - 8/7*v**4 + 2/7*v**5 + x + 8/7*v**3 + 0*v**2.
2*v**3*(v - 2)**2/7
Let y(d) be the third derivative of -d**9/30240 - d**8/1008 - d**7/280 - 41*d**5/60 - 44*d**2. Let x(a) be the third derivative of y(a). Factor x(i).
-2*i*(i + 1)*(i + 9)
Let y(t) = -t**2 + t + 1. Let z(o) = 10*o**2 - 228*o + 206. Let s(n) = 12*y(n) + z(n). Suppose s(p) = 0. Calculate p.
-109, 1
Let q = -1/1260852 - -3502367/420284. Solve 12 + q*l**3 - 37*l + 70/3*l**2 = 0.
-4, 3/5
Factor -264 - 156*n**2 + 260*n + 38*n**2 + 122*n**2.
4*(n - 1)*(n + 66)
Let f = -2207 - -6625/3. Let j(s) be the second derivative of 0 - 1/9*s**4 + f*s**3 + 2*s - 6*s**2. Let j(a) = 0. What is a?
3
Let v(c) be the second derivative of 1/48*c**4 + 11/8*c**2 + 1/2*c**3 + 94*c + 0. Suppose v(q) = 0. What is q?
-11, -1
Factor -48 - 140/3*x**2 + 286/3*x - 2/3*x**3.
-2*(x - 1)**2*(x + 72)/3
Let g = -53 + 252. Let b = g + -596/3. Suppose 2/3 - b*u**2 + 1/3*u = 0. What is u?
-1, 2
Let u(i) be the second derivative of i**6/180 - 2*i**5/15 + 8*i**4/9 - 2564*i. Suppose u(l) = 0. Calculate l.
0, 8
Let n = -58 - -74. Suppose -15*s = -n*s + 4. Determine v so that -6*v**3 - 2*v**4 + 2*v**2 + s - 4*v**2 + 3*v + 3*v = 0.
-2, -1, 1
Let a be (-837)/(-93) - 46/2. Let f be (4/120*4)/(a/(-70)). Let f*g**5 + 10/9*g**4 + 8/9*g + 8/9 - 14/9*g**3 - 2*g**2 = 0. What is g?
-2, -1, -2/3, 1
Suppose -43 - 92 = -9*p. Factor -5*d**4 + 26*d - p*d**3 - 18*d - 15*d**2 - 13*d.
-5*d*(d + 1)**3
Let o(g) be the second derivative of g**5/80 - 11*g**4/48 + 4*g**3/3 - 7*g**2/2 + g - 4257. Factor o(f).
(f - 7)*(f - 2)**2/4
Let v(j) be the second derivative of -j**5/10 - 19*j**4 + 39*j**3 + 230*j**2 - 4980*j. Factor v(m).
-2*(m - 2)*(m + 1)*(m + 115)
Suppose -240*p**2 + 72714*p**3 - 3*p**4 - 45 - 145386*p**3 - 2*p**5 + 184*p + 72778*p**3 = 0. What is p?
-9, 1/2, 1, 5
Let i(m) be the second derivative of -m**5/90 - m**4/54 + 10*m**3/9 + 31*m + 4. Suppose i(k) = 0. What is k?
-6, 0, 5
Let c(y) be the second derivative of 9*y**5/5 + 581*y**4 - 2327*y**3/6 + 97*y**2 + 3885*y. Suppose c(s) = 0. Calculate s.
-194, 1/6
Let u be -9 + ((-20)/(-2) - -1). Let l(o) be the first derivative of 1/5*o**5 + 0*o**2 + 0*o - 1/2*o**4 + 1/3*o**3 + u. Find g such that l(g) = 0.
0, 1
Let p(q) = q**2 + 465*q - 934. Let v be p(2). Find g, given that v*g**3 - 3/2*g**4 + 0 + 21/2*g**2 + 9*g = 0.
-2, -1, 0, 3
Suppose 14372 - 14328 = 22*q. Factor -4/3 + 2/3*m**q - 2/3*m.
2*(m - 2)*(m + 1)/3
Suppose 0 = -h + f + 7, 2 + 3 = 5*h + 5*f. Factor 5*q**h - 1042 + 20*q**2 - 20*q**3 + 1042.
5*q**2*(q - 2)**2
Suppose 119/6*f**2 - 1/6*f**4 - 9/2*f**3 + 31/3 - 51/2*f = 0. What is f?
-31, 1, 2
Factor 24/5*j + 46/5*j**2 + 4*j**3 - 2/5*j**4 + 0.
-2*j*(j - 12)*(j + 1)**2/5
Let h = 6045 - 6045. Let z(a) = a**2 - 5*a - 4. Let m be z(6). Solve 9/2*b**3 - 6*b - 6*b**m + h = 0.
-2/3, 0, 2
Let t = -3/4529 - -4535/9058. Let u(r) be the second derivative of 0 + r - t*r**2 - 1/6*r**3 + 1/48*r**4 + 1/80*r**5. Factor u(i).
(i - 2)*(i + 1)*(i + 2)/4
Let m(x) be the first derivative of -87 + 243/5*x**2 - 183/20*x**4 + 51/25*x**5 + 0*x - 117/5*x**3 - 1/10*x**6. Suppose m(n) = 0. Calculate n.
-2, 0, 1, 9
Let l = -843 - -597. Let k = l + 246. Determine x so that -1/4*x**3 + k + 1/8*x**2 + 1/4*x - 1/8*x**4 = 0.
-2, -1, 0, 1
Factor -17/4*l - 21/2 - 1/4*l**2.
-(l + 3)*(l + 14)/4
Let n(q) be the first derivative of q**6/42 - 9*q**5/35 + 6*q**4/7 - 20*q**3/21 + 649. Suppose n(r) = 0. Calculate r.
0, 2, 5
Let c be (-10)/(-3)*((-32)/200)/(264/(-165)). Find o, given that 2/3*o**3 + c*o**2 - 1/3*o**4 - 2/3*o + 0 = 0.
-1, 0, 1, 2
What is l in -1934/9*l - 2/9*l**2 + 0 = 0?
-967, 0
Let w = -19659 + 19662. Factor 0*x**w - 18/5*x**2 + 2/5*x**4 - 8/5*x + 24/5.
2*(x - 3)*(x - 1)*(x + 2)**2/5
Let f(p) = 47*p - 185. Suppose 0*s = -9*s + 36. Let u be f(s). Find w such that 0*w**2 - u*w - 3/2 + 3/2*w**4 + 3*w**3 = 0.
-1, 1
Let j(p) be the third derivative of -143*p**2 + 0*p + 2/135*p**5 + 7/108*p**4 - 1/540*p**6 - 10/27*p**3 - 1. Factor j(q).
-2*(q - 5)*(q - 1)*(q + 2)/9
Factor 85*a**3 + 44135*a - 925*a**2 - 80*a**3 - 45559 - 78656.
5*(a - 91)**2*(a - 3)
Let m(u) be the third derivative of u**7/945 - u**6/36 - 5*u**5/18 - 25*u**4/108 + 38*u**3/9 + 1303*u**2. Solve m(p) = 0.
-3, -2, 1, 19
Let n(p) be the second derivative of -p**6/10 + 3*p**5/20 + 23*p**4/4 + 39*p**3/2 + 27*p**2 - 2419*p - 1. Factor n(x).
-3*(x - 6)*(x + 1)**2*(x + 3)
Determine u so that 1304/3*u - 1/3*u**2 - 425104/3 = 0.
652
Suppose 293*v + 252*v - 908 = 182. Let 5/2*s**v - s**3 + 2 + 11/2*s = 0. Calculate s.
-1, -1/2, 4
Let j(l) be the second derivative of l**6/6 - 27*l**5/4 - 85*l**4/6 + 140*l**3 - 14485*l. Factor j(z).
5*z*(z - 28)*(z - 2)*(z + 3)
Let k = -312214/9 + 312230/9. Solve -k*u**3 + 0 - 38/9*u**2 - 20/9*u + 2/9*u**4 = 0.
-1, 0, 10
Let a(l) be the second derivative of -5*l**4/12 - 65*l**3/6 + 575*l**2 - 1626*l. Let a(s) = 0. What is s?
-23, 10
Let c be -15 - 1121/(-76) - ((-51)/12 + 4). Solve -4/5*r**3 + c - 8/5*r + 12/5*r**2 = 0.
0, 1, 2
Let q = 76439 - 382189/5. What is x in 2/5*x**4 + 0 - q*x + 7/5*x**2 + 9/5*x**3 = 0?
-3, -2, 0, 1/2
Suppose -119*r + 120*r + 2*x - 93 = 0, 4*r = -4*x + 368. Suppose 6*a - 3*a - 12 = 0. Find m, given that -84*m**3 - m**2 + r*m**3 - 13*m**2 + 8*m - m**a = 0.
0, 1, 2, 4
Suppose -77*c + 12 = -71*c. Factor -c*p - 60 + 2*p + 81 + 3*p**2 - 24.
3*(p - 1)*(p + 1)
Suppose 2719*z + 3717 - 11874 = 0. Suppose -1/2*o**z - 10 + 21/2*o + 0*o**2 = 0. What is o?
-5, 1, 4
Find w, given that -20*w**4 + 400*w - 683373*w**2 - 40*w**3 + 124*w**3 - 4*w**5 + 683873*w**2 = 0.
-5, -4, -1, 0, 5
Suppose -37 = -7*i - 2. Solve o + 25 + 24*o - i*o**2 - 5*o = 0 for o.
-1, 5
Let n(g) be the second derivative o