2 - 189*q - 5*q**4 + 8 - 23*q**o + 185*q = 0. What is q?
-2, -1, 2/5
Let x(o) be the second derivative of -o**7/126 - o**6/45 + o**5/5 + 7*o**4/18 - 11*o**3/18 - 2*o**2 + 193*o. Let x(q) = 0. What is q?
-4, -1, 1, 3
Let -1080/7 - 2/7*h**5 + 354/7*h**2 + 288/7*h - 34/7*h**4 - 38/7*h**3 = 0. What is h?
-15, -3, 2
Let u(i) be the third derivative of -i**9/5040 + i**8/1120 + i**7/120 + i**6/60 - 17*i**4/8 + 126*i**2. Let z(h) be the second derivative of u(h). Factor z(q).
-3*q*(q - 4)*(q + 1)**2
Let h be -6*(-6)/18 + (1 - 1). Factor 3*o**5 + 74*o**3 + o**3 + 2*o**5 + 45*o**4 - 125*o**h.
5*o**2*(o - 1)*(o + 5)**2
Let g be ((-18)/(-120) - 0)/((-63)/42744). Let z = g - -511/5. Factor z*o**4 + 3/7*o + 9/7*o**2 + 9/7*o**3 + 0.
3*o*(o + 1)**3/7
Let b = 1262 - -355. Solve -b*x + 3*x**5 + 349 - 132 + 210*x**2 + 812 + 318*x**3 + 57*x**4 = 0.
-7, 1
Let k(x) = -14*x - 49. Let n be k(-5). Factor 42*q**3 - 18*q**4 - 24*q**2 - n*q**2 + 21*q**4.
3*q**2*(q - 1)*(q + 15)
Let z(g) = g. Let u be z(3). Let i(m) = -3*m**2 + 150*m - 1725. Let o(l) = -3*l**2 + 152*l - 1724. Let f(c) = u*o(c) - 4*i(c). Factor f(b).
3*(b - 24)**2
Let b = -3482 + 3486. Let j(y) be the second derivative of 1/3*y**b - 6*y + 0 - 10/3*y**3 - 12*y**2. Factor j(i).
4*(i - 6)*(i + 1)
Suppose 7*t + 868 = 896. Suppose 4*c + t*m + 3 = 7, 4*c - m = 24. Determine x so that 52/3*x**4 - 68/3*x**2 - 14/3*x**c - 26/3*x**3 + 16/3 + 40/3*x = 0.
-1, -2/7, 1, 2
Factor 63823 - 1506*m**3 + 3*m**4 + 123677 - 480778*m + 190503*m**2 + 104278*m.
3*(m - 250)**2*(m - 1)**2
Let f be (30/9)/(-12 + (-241)/(-18)). Suppose -8/5 - f*b**2 - 4/5*b**3 + 4*b + 4/5*b**4 = 0. Calculate b.
-2, 1
Suppose -25*k = -31*k - 36, 4*g = g - 5*k - 24. Factor -3/7 - 2/7*d + 1/7*d**g.
(d - 3)*(d + 1)/7
Let n be ((-4)/(-16))/((-1)/(-4))*0. Let y(s) = s**2 - 4*s + 2. Let r be y(n). Factor -2*f - 45/2*f**3 + 0 + 14*f**r.
-f*(5*f - 2)*(9*f - 2)/2
Let b be ((-8)/24)/(3/(-189)). Suppose 5*j - j - 12 = 0. Determine i so that 5*i**j + 2*i**3 - 42*i**2 - 19*i**3 + 48*i**4 - b*i**5 + 33*i - 6 = 0.
-1, 2/7, 1
Let f(d) be the first derivative of 1/36*d**6 + 0*d - 1/9*d**3 + 0*d**4 + 49 + 1/15*d**5 - 1/12*d**2. Factor f(w).
w*(w - 1)*(w + 1)**3/6
Let t be ((-27)/12)/((-9)/168). Suppose 2*o - t + 38 = 0. Factor 6*d**2 - o*d**2 - d**2.
3*d**2
Let v = -1798 - -1813. Let j be 144/(-1080) - (-2)/v. Factor 0 + 1/4*l**2 + j*l.
l**2/4
Let c(g) be the first derivative of -g**5/20 - 9*g**4/8 + 5*g**3 + g**2 + 5*g + 23. Let w(d) be the second derivative of c(d). Factor w(f).
-3*(f - 1)*(f + 10)
Let o be 7 + -1 - ((-407)/37 - 1998/(-126)). Factor 2/7*n**2 - o + 8/7*n - 2/7*n**3.
-2*(n - 2)*(n - 1)*(n + 2)/7
Let k(f) be the third derivative of f**6/24 - 67*f**5/12 - 175*f**4/3 - 710*f**3/3 + 2*f**2 - 73*f. Find p, given that k(p) = 0.
-2, 71
What is n in -312/11 + 98/11*n + 2/11*n**2 = 0?
-52, 3
Solve 5200/3 + 10610/3*x**3 - 29960/3*x + 39452/3*x**2 + 272*x**4 + 6*x**5 = 0.
-26, -10, 1/3
Let m(a) be the first derivative of 29 + 216/7*a**2 + 72/7*a**3 + 12/7*a**4 + 324/7*a + 4/35*a**5. Find t such that m(t) = 0.
-3
Suppose -236 + 104 = -4*l. Let m be 12*(l/(-12) - -3). Let -75/4*k**m + 27/2*k + 45/4*k**2 - 6 = 0. Calculate k.
-4/5, 2/5, 1
Let a(v) = 4*v**5 + 23*v**4 - 188*v**3 - 740*v**2 - 787*v - 281. Let q(z) = -z**5 + 2*z**4 - z**3 + z**2 - z + 3. Let o(w) = -a(w) - 3*q(w). Solve o(u) = 0.
-34, -1, 8
Let o = -888 + 429. Let b = o - -459. Factor 12/11*c**2 - 16/11*c + b*c**3 - 2/11*c**4 + 6/11.
-2*(c - 1)**3*(c + 3)/11
Let b(c) be the second derivative of c**7/294 + 97*c**6/210 + 149*c**5/70 - 46783*c**4/42 + 1360645*c**3/42 - 5623475*c**2/14 - 828*c. Factor b(s).
(s - 11)**3*(s + 65)**2/7
Let w(z) be the third derivative of z**5/20 + z**4/4 - 4*z**3 - 12*z**2 + 11*z. Determine s so that w(s) = 0.
-4, 2
Suppose -4*t + 1206 = 14*t. Factor 85*b - 67 - b**2 - 4*b**2 + t.
-5*b*(b - 17)
Suppose 4*q = -2*b + 84, -b + 2*q + 198 = 4*b. Suppose v + 12 = 6*v + 4*i, -2*v - 3*i = -2. Solve -19*m - 37*m**4 + b*m**v + 36 + 7*m - 27*m**2 = 0 for m.
-2, 1, 3
Let y(h) be the third derivative of -h**5/360 - 55*h**4/24 - 164*h**3/9 - h**2 - 273. Suppose y(z) = 0. Calculate z.
-328, -2
Suppose s + 2*x - 7 = 0, 4*x + 5 = -4*s + 45. Suppose -48 = -s*d - 3*d. Factor 14*f**2 - 21*f**2 + f + 11*f**2 + 2 + 4*f + f**d.
(f + 1)**2*(f + 2)
Let b(o) be the second derivative of o**4/15 + 1732*o**3/15 - 1734*o**2/5 + 4737*o. Let b(q) = 0. Calculate q.
-867, 1
Let c(q) be the first derivative of -q**7/245 + q**6/60 - q**5/105 - 3*q**2/2 + 8*q - 94. Let k(p) be the second derivative of c(p). Let k(f) = 0. What is f?
0, 1/3, 2
Let m(k) = -k**2 + 80*k + 13043. Let z be m(-81). Determine c, given that -52/9*c**z - 128/9*c - 64/9 + 26/9*c**3 + 16/9*c**4 + 2/9*c**5 = 0.
-4, -1, 2
Let z(h) = h**3 + 19*h**2 + 59*h + 187. Let g be z(-16). Suppose -1/3*y**2 + 8/3*y + g = 0. Calculate y.
-3, 11
Let m be 20/30*3/(-10)*(-108)/27. Factor -m*u**2 - 16/5*u + 48/5.
-4*(u - 2)*(u + 6)/5
Suppose -41 = -l - 4*t - 1, 5*l - 149 = -3*t. Suppose -9 = -4*n + v, -4*n = v - 17 + 2. What is u in -3*u**2 - u**2 + 29*u + n*u**2 - l*u = 0?
0, 1
Let f(j) be the third derivative of j**8/672 + 13*j**7/84 + 191*j**6/48 - 653*j**5/24 + 425*j**4/6 - 289*j**3/3 + 14*j**2 - 24. Find y, given that f(y) = 0.
-34, 1
Determine p, given that -2/3*p**2 - 10870296 - 5384*p = 0.
-4038
Suppose 22*w = -4*w + 52. Let v = -12 - -28. Factor 7*i**2 - 21*i**w + 10*i**2 + i + 11*i + v.
-4*(i - 4)*(i + 1)
Suppose -72 = -6*z - 2*z. Suppose -7*h - 4 = -z*h. Solve 2*m**3 - 3*m**3 + 2*m**h + 115*m - 116*m - 4*m**2 = 0.
-1, 0
Let d be (0 - (-2)/5)/((-1)/(-15)). Let c be (-20)/d*(-12)/10. What is m in -m**c - 5*m**3 + 4*m + 6*m**2 - 5*m**4 + 3*m**3 - 2*m**5 = 0?
-2, -1, 0, 1
Let g = -304125 - -304127. Let 10/3*w + 2 - 4/3*w**g = 0. What is w?
-1/2, 3
Determine x, given that 2100910 - 4700*x**2 - 6768*x + 4704*x**2 + 761954 = 0.
846
Let w = 5869/841 + 36858705/9251. Factor 4704/11*z + 2/11*z**3 + 168/11*z**2 + w.
2*(z + 28)**3/11
Suppose -319*l = -239*l. Let n(r) be the second derivative of -1/50*r**5 + 1/5*r**2 - 1/5*r**3 + l + 2*r + 1/10*r**4. Factor n(d).
-2*(d - 1)**3/5
Suppose 743 + 2181 = 1834*b - 744. Let -3 - 7/4*r - 1/4*r**b = 0. Calculate r.
-4, -3
Suppose 77 = -5*x - 193. Let c = 57 + x. Solve -h - h**2 + 21*h**4 - 34*h**4 + h**c + 14*h**4 = 0.
-1, 0, 1
Suppose 2*h = -36 + 40. What is r in 64 + h*r**3 + 41*r**2 + 85*r**2 - 10*r**2 + 10*r**3 + 168*r = 0?
-8, -1, -2/3
Let l be 6*(-3)/(-24)*-12*1/(-18). Let j(z) be the first derivative of 16/3*z**3 - 21*z**2 - l*z**4 - 9 + 36*z. Factor j(q).
-2*(q - 3)**2*(q - 2)
Let p(l) = -2*l**2 - l + 41. Let x be p(4). Suppose -2*o + 4*w + 12 = 0, -4*o + x*w = -2*o - 15. Factor 1/5*r**3 + 3/5*r + 4/5*r**2 + o.
r*(r + 1)*(r + 3)/5
Let t(q) be the third derivative of -9/20*q**5 - 2/35*q**7 - 1/224*q**8 + 0*q**3 - 85*q**2 + 0 + 0*q - 21/80*q**6 + 0*q**4. Factor t(w).
-3*w**2*(w + 2)*(w + 3)**2/2
Let k(x) = 16*x**3 - 8*x**2 - 336*x + 1440. Let b(u) = 12*u**3 - 8*u**2 - 336*u + 1440. Let q(p) = 3*b(p) - 2*k(p). Factor q(y).
4*(y - 6)**2*(y + 10)
Let k(m) = -28 - 113*m - 109*m + 220*m. Let t be k(-15). What is i in 75/8*i**t - 57/8*i**3 - 3/8*i**5 + 21/8*i**4 - 6*i + 3/2 = 0?
1, 2
Let m(x) be the first derivative of -x**4/4 + x**3/8 + 15*x**2/8 + 19*x/8 - 1637. Factor m(a).
-(a + 1)**2*(8*a - 19)/8
Let j be ((-12)/(-408))/((-84)/(-12376)). Factor 13/3*u**2 - j + 1/3*u**3 - 1/3*u.
(u - 1)*(u + 1)*(u + 13)/3
Let n(b) = 1483*b**2 + 2*b + 5. Let y be n(0). Factor 0*c**2 + 0*c - 2/9*c**y - 2/3*c**4 + 0 + 0*c**3.
-2*c**4*(c + 3)/9
Let z(n) be the third derivative of -n**9/40320 + n**8/13440 + n**7/1680 - 5*n**5/4 - 20*n**2. Let u(j) be the third derivative of z(j). Factor u(i).
-3*i*(i - 2)*(i + 1)/2
Let l be ((-2)/3)/((-32)/(-54)*(-213)/568). Suppose -6*c - l*c**3 + 2 + 1/2*c**4 + 13/2*c**2 = 0. What is c?
1, 2
Let l = 2465 - 2462. Let u(f) be the third derivative of 0*f + 7/90*f**5 + 11/12*f**4 - 2*f**2 - 10/9*f**l + 0. Find j, given that u(j) = 0.
-5, 2/7
Let d(j) = 197*j - 63. Let k be d(2). Let b = k + -331. Suppose 1/4*g**2 + b + 1/2*g**3 + 1/4*g**4 + 0*g = 0. What is g?
-1, 0
Let z = -967741 + 967745. Solve 1/4*m - 1/2*m**3 + 0*m**z + 1/4*m**5 + 0 + 0*m**2 = 0.
-1, 0, 1
Let o(a) = -36*a**2 - 72*a + 16. Let h be o(