econd derivative of -m**4/6 - 35*m**3/3 - 250*m**2 + 1859*m. Suppose w(u) = 0. What is u?
-25, -10
Suppose -4*b + 12 = 10*f - 8*f, 0 = -4*f + 8. Find s, given that -10*s**3 - 44 - 180*s + 255 + 75*s**b - 76 = 0.
3/2, 3
Let k(h) = -27*h**3 + 59 - 28*h**3 - 19 + 54*h**3 + 10*h**2 - 21*h. Let m be k(8). Let m - 2/5*u**3 - 162/5*u - 36/5*u**2 = 0. Calculate u.
-9, 0
Let o(x) be the second derivative of x**7/280 - x**6/20 + 3*x**5/40 + 5*x**4/4 + 41*x**3/6 + 2*x. Let b(d) be the second derivative of o(d). Factor b(v).
3*(v - 5)*(v - 2)*(v + 1)
Suppose 3*z - 10*z = -14. Suppose -2 = -j - 4*r + 8, 4*j - 3*r = z. Let 2/5*b**3 + j*b**2 + 8/5 + 16/5*b = 0. What is b?
-2, -1
Let p(s) be the third derivative of s**6/900 + 19*s**5/450 - 5*s**4/18 - 56*s**3/15 - 48*s**2 - 24*s. Factor p(v).
2*(v - 4)*(v + 2)*(v + 21)/15
Let x = -312 + 323. Suppose x*z - 5*z = 12. Suppose 1/6*a**3 - 125/6 + 25/2*a - 5/2*a**z = 0. What is a?
5
Let q be (-2 - 0 - 112/(-45)) + 833/7497. Suppose 12/5 + q*v**5 + 21/5*v**4 + 48/5*v + 57/5*v**3 + 15*v**2 = 0. Calculate v.
-2, -1
Let q(h) = h**5 + 6*h**4 - 11*h**3 + 69*h**2. Let j(d) = -d**5 - 8*d**4 + 10*d**3 - 70*d**2. Let o(n) = -5*j(n) - 6*q(n). Determine w, given that o(w) = 0.
-4, 0, 4
Factor 2550934*k**2 + 5*k**3 + 209*k - 59*k - 2550989*k**2.
5*k*(k - 6)*(k - 5)
Let g(c) be the second derivative of c**6/6 + 4*c**5 - 175*c**4/12 + 15*c**3 + 8875*c. What is o in g(o) = 0?
-18, 0, 1
Let i(h) = -3*h**3 - 13*h**2 + 53*h - 97. Let y(l) = 13*l**3 + 56*l**2 - 210*l + 387. Let z(v) = 9*i(v) + 2*y(v). Factor z(c).
-(c - 3)**2*(c + 11)
Suppose -63*n + 896 = 161*n. Solve -8/7*a**2 - 24/7*a**3 + 20/7*a**n + 4*a - 4/7*a**5 - 12/7 = 0.
-1, 1, 3
Let w be (-12)/20 + 19434/4740. Let 1 + 1/2*n**4 + 9/2*n**2 - w*n - 5/2*n**3 = 0. What is n?
1, 2
Let g(x) = x**2 + 8*x + 20. Let n be g(-5). Suppose -i + 32 = -n*f, 3*f = -2*i + 2*f + 9. Let 2*r - 4*r - 5*r**2 + i*r**2 = 0. What is r?
0, 1
Let t(k) be the third derivative of 0 + 0*k + 0*k**3 - 101*k**2 - 1/144*k**4 - 1/360*k**5. Factor t(w).
-w*(w + 1)/6
Let k(q) be the second derivative of -q**5/4 - 165*q**4 - 65995*q**3/2 - 194045*q**2 - 469*q. What is v in k(v) = 0?
-197, -2
Let l(c) be the third derivative of -7*c**8/12 + 167*c**7/30 - 214*c**6/15 - 61*c**5/30 + 7*c**4/2 + 3*c**3/2 + 6*c**2 + c + 4. What is i in l(i) = 0?
-1/7, 1/4, 3
Let g = 63594 - 63592. Factor -3/4 + 17/4*m**g + 7/2*m.
(m + 1)*(17*m - 3)/4
Let u(h) be the second derivative of h**5/15 - h**4/2 - 12*h**3 + 17*h**2/2 - 3*h + 45. Let x(l) be the first derivative of u(l). Factor x(f).
4*(f - 6)*(f + 3)
Let m be (2 + 1)/((-6)/(-14)). Let j(l) = 2*l - 4. Let f be j(m). Solve f*q**4 - 10*q**2 + 5*q**5 + 4*q**3 - 5*q - 4*q**3 = 0.
-1, 0, 1
Let z(q) = 29*q**2 - 5*q - 24. Let t = 42 + -41. Let p(s) = 1 - s**2 + 1 + t - 2. Let u(i) = -4*p(i) - z(i). Determine c so that u(c) = 0.
-4/5, 1
Let c(m) be the second derivative of 7*m**6/40 - 61*m**5/20 + 27*m**4/2 + 18*m**3 + 131*m**2/2 - 119*m. Let w(j) be the first derivative of c(j). Factor w(t).
3*(t - 6)*(t - 3)*(7*t + 2)
Let y = 1/25347 - -380201/101388. Factor 39/4*s**2 - y*s**3 - 21/4*s - 3/4*s**4 + 0.
-3*s*(s - 1)**2*(s + 7)/4
Let g(h) = 2*h**3 - 10*h**2 + 2*h - 6. Let x be g(5). Factor 1237*v**2 + 3 - x*v + 6*v**3 - 3 + 1244*v**2 - 2479*v**2.
2*v*(v + 1)*(3*v - 2)
Let q = 88 - 86. Find h such that -10*h - 292*h**2 - 10 + 288*h**q - 6 + 2*h**4 - 14*h + 6*h**3 = 0.
-2, -1, 2
Let v be (579/386)/(1 + (-7767)/7762). Let y = 2329 + v. Factor 1/10*x**2 - 3/10*x - y.
(x - 4)*(x + 1)/10
Suppose -55 = 7*f + 4*f. Let b(n) = -n**3 - 4*n**2 - 2*n - 3. Let z be b(f). Find k, given that -8*k**4 - 8*k**2 + k**5 - 30*k + z*k + k**5 + 12*k**3 = 0.
0, 1
Suppose 1 = -158*b - 25*b + 1. Let a(k) be the second derivative of -18*k + 0*k**4 + 1/95*k**5 + 0*k**3 + 0*k**2 + 1/285*k**6 + b. Factor a(u).
2*u**3*(u + 2)/19
Suppose 2*n + 6 = 0, 38*k - 34*k - 2708 = -4*n. Let y = 3402/5 - k. Factor 8/5*j**2 - 2/5*j**4 + 1/5*j**5 + 2/5 - 7/5*j - y*j**3.
(j - 1)**4*(j + 2)/5
Let i = 1322 + -1320. Let v(j) = 7*j**2 - 17*j + 10. Let s(d) = -29*d**2 + 69*d - 38 + 9 - 11. Let x(f) = i*s(f) + 9*v(f). Factor x(g).
5*(g - 2)*(g - 1)
Suppose 17*t**2 - 12*t**4 + 141 - 17*t**4 + 285*t - 282*t**3 - 3*t**5 - 11*t**2 - 118*t**4 = 0. What is t?
-47, -1, 1
Let c be 62/279 + (-40)/(-144). Factor 3/4*n + 0 - 1/4*n**3 + c*n**2.
-n*(n - 3)*(n + 1)/4
Let x(h) be the second derivative of h**7/273 + 38*h**6/195 - 8*h**5/13 - 901*h. Factor x(o).
2*o**3*(o - 2)*(o + 40)/13
Let g(n) be the third derivative of -n**6/840 + 2*n**5/3 + 569*n**4/56 + 429*n**3/7 - 3*n**2 + 448*n. Factor g(z).
-(z - 286)*(z + 3)**2/7
Let x(t) be the third derivative of 63*t**2 - 1 - 79/720*t**6 + 0*t**3 - 49/72*t**4 + 217/360*t**5 - 1/672*t**8 - 37/1260*t**7 + 0*t. What is v in x(v) = 0?
-7, 0, 2/3, 1
Let x = -387 + 393. Let k(l) = -2*l**3 - 65*l**2 - 235*l - 7. Let u(y) = -y**3 - 31*y**2 - 118*y - 3. Let d(f) = x*k(f) - 14*u(f). Factor d(t).
2*t*(t + 11)**2
Let r = 2345/8 + -1611/8. Let x = 369/4 - r. Let -x*b - 2/3*b**2 + 1/6 = 0. What is b?
-1, 1/4
Suppose -51 = 4*k - q, q + 11 = 14. Let w be (k/5)/(-3) + 1178/(-1710). Solve 16/9*a - w*a**2 - 64/9 = 0 for a.
8
Factor 155/6*h - 5/6*h**2 - 90.
-5*(h - 27)*(h - 4)/6
Let c(m) be the second derivative of 0*m**3 + 0 + 0*m**2 - 1/4*m**5 + 5/4*m**4 + 179*m. What is b in c(b) = 0?
0, 3
Let o(b) = -b**3 + b**2 - b + 2. Let u(p) = -147*p**2 + 13 - 27*p**3 - 174*p - 82 + 45. Let d(q) = -6*o(q) + u(q). Factor d(l).
-3*(l + 1)*(l + 6)*(7*l + 2)
Suppose -5*d - 2*a - 293 + 870 = 0, 5*a + 455 = 4*d. Suppose -193 = -3*o + 38. Determine c, given that 49*c**2 - 27 + 95*c**3 - d*c + c**2 + o - 80*c**3 = 0.
-5, 2/3, 1
Let r = -493 - -497. Let v be ((-32)/(-90))/r + (-24)/(-180). Factor v*m**2 - 4/9*m + 0.
2*m*(m - 2)/9
Let i(n) = n**3 - 26*n**2 + n - 23. Suppose -525*m + 527*m - 52 = 0. Let y be i(m). Solve -3/5*t - y*t**2 - 9/5*t**3 + 3/5 = 0 for t.
-1, 1/3
Let h(l) be the second derivative of -l**9/37800 + l**8/2400 - l**7/1050 - 10*l**4/3 - l**3/6 + 3*l + 2. Let c(z) be the third derivative of h(z). Factor c(x).
-2*x**2*(x - 6)*(x - 1)/5
Suppose 1/4*y**3 - 13/4*y + 7/4 + 5/4*y**2 = 0. Calculate y.
-7, 1
Let o(j) = 3*j**3 - 109*j**2 + 36*j + 2. Let y be o(36). Determine w so that -32*w**3 + 2*w**2 + 6585*w**4 - 18*w**y - 4*w**5 - 6605*w**4 = 0.
-2, -1, 0
Factor 921*r + 2875*r**2 - 5757*r**2 - 257*r + 2870*r**2 - 220.
-4*(r - 55)*(3*r - 1)
Suppose -74*b + 73*b + 13 = 0. Determine h so that 35*h - 487 + 25*h**3 + b*h**2 + 477 + 57*h**2 = 0.
-2, -1, 1/5
Suppose -124 = 3*s - 136. Determine c, given that 2*c**s + c**4 - 17*c**4 - 203 - 25*c**3 + 83 - 16*c**4 + 150*c**2 + 20*c + 5*c**5 = 0.
-2, -1, 1, 2, 6
Let o(x) be the first derivative of -2*x**3/9 - 50*x**2/3 - 1250*x/3 + 1274. Factor o(u).
-2*(u + 25)**2/3
Solve -13374*x - 4355*x**3 + 8704*x**3 + 74*x - 4353*x**3 - 1360*x**2 - 33000 = 0 for x.
-330, -5
Let n = 40 - 29. Determine g so that -5*g**2 + 11 + 6 + 8 + 0 + 9*g + n*g = 0.
-1, 5
Let r = -297 + 565. Solve -r*m**4 + 262*m**4 + 2*m**2 - 2*m**5 + 6*m**2 = 0 for m.
-2, 0, 1
Solve 13010*o + 25 + 842*o**2 - 6622*o - 6728*o + 314*o**2 = 0.
5/34
Let z = 17 + -21. Let x(n) = -n + 1. Let a be x(z). Let 11*r**2 + 12*r - a*r**3 - 3*r**3 - 4*r**3 - 56*r**2 = 0. Calculate r.
-4, 0, 1/4
Let j(r) = -48*r**2 - 7*r + 33. Let p be j(3). Let t = -417 - p. Suppose -8/5*z**2 - 21/5*z**t + 0 + 7/5*z**5 + 4/5*z - 2/5*z**4 = 0. What is z?
-1, 0, 2/7, 2
Let u = -21 + 35. Let q(p) = -p**2 + 8*p - 5. Let d be q(5). Solve -11*g - d - 25*g**2 - 10*g - u*g = 0 for g.
-1, -2/5
Suppose -51*l = -38*l - 10257. Let j = l - 787. Suppose 0 - 3/5*f**3 + 24/5*f**j + 27/5*f = 0. Calculate f.
-1, 0, 9
Let o(j) be the first derivative of 2*j**3/33 + 10*j**2/11 + 50*j/11 - 818. Determine b, given that o(b) = 0.
-5
Let a be 1/(-2)*2*(-14 + 7). Let -7*j**4 + 15*j**3 + a*j**3 - 5*j**4 - 3*j**5 - 7*j**3 = 0. Calculate j.
-5, 0, 1
Let w(b) be the third derivative of -b**7/105 - 11*b**6/20 - 14*b**5/3 + 93*b**2 - 5. Factor w(d).
-2*d**2*(d + 5)*(d + 28)
Let y(z) be the second derivative of z**5/60 - 11*z**4/36 - 68*z**3/9 - 152*z**2/3 - z + 472. Solve y(p) = 0 for p.
-4, 19
Let u(f) be the second derivative of 0*f**2 + 0*f**3 - 1 - 2/3*f**4 - 10*f - 26/15*f**6 + 3*f**5.