 - -339714. Factor 8/13*w**2 - 2/13*w**4 + o*w + 0 + 6/13*w**3.
-2*w**2*(w - 4)*(w + 1)/13
Let l(f) be the second derivative of -f**7/21 + 46*f**6/15 - 717*f**5/10 + 2002*f**4/3 - 3332*f**3/3 - f + 46. Determine m so that l(m) = 0.
0, 1, 14, 17
Let d(s) be the first derivative of -s**4/8 - 1028*s**3/3 + 5524. What is n in d(n) = 0?
-2056, 0
Let x(k) = -k**2 + 7*k + 4. Suppose 4*a + 4 = 5*a. Let y be x(a). Find r such that -y*r**3 + 37*r**3 - 17*r**3 = 0.
0
Suppose -3*k + 1411 = -4*q, -3*k = -4*k + q + 470. Let f = k - 466. Solve -3/2*y**2 + 0 - f*y = 0 for y.
-2, 0
Let v(s) be the third derivative of s**8/13440 + s**7/210 + 2*s**6/15 + 161*s**5/60 - 175*s**2. Let m(q) be the third derivative of v(q). Factor m(g).
3*(g + 8)**2/2
Factor 216*f + 3*f**3 - 169 - 294 - 45*f**2 + 139.
3*(f - 6)**2*(f - 3)
Determine p so that -4*p + 10/3*p**2 + 0 - 2/3*p**4 + 4/3*p**3 = 0.
-2, 0, 1, 3
What is q in 27/2*q + q**4 + 10 - 9/2*q**3 - 2*q**2 = 0?
-1, 5/2, 4
Let c = 1995635/2993457 + 1/997819. Factor 170/3*i - 212/3*i**2 + c*i**5 + 116/3*i**3 - 26/3*i**4 - 50/3.
2*(i - 5)**2*(i - 1)**3/3
Factor -3*d**4 - 215/3*d**2 + 82*d + 157/6*d**3 - 1/6*d**5 - 100/3.
-(d - 2)**3*(d - 1)*(d + 25)/6
Let i(w) be the first derivative of -15*w**4/4 - 2510*w**3/3 + 3390*w**2 - 3400*w - 3980. Factor i(a).
-5*(a - 2)*(a + 170)*(3*a - 2)
Let l(d) = 3*d**3 - 1. Let k be l(1). Suppose 3*c + k*x + 3*x - 12 = 0, -4 = -c - x. Factor 11*t**2 + c*t**4 + 13*t**2 + 146*t**3 - 130*t**3 + 16*t + 4.
4*(t + 1)**4
Let a be 9 - 1*((4 - 10) + 4). Suppose 0 = -a*h + 22*h - 22. Factor -19*k - 4*k**3 + 34*k**h + 28 - 10*k**2 - 29*k + 4.
-4*(k - 2)**3
Let v be (-2)/(-5) + (-268)/(-20)*-1. Let p(m) = -23*m**4 - 26*m - 13. Let j(r) = 11*r**4 + 12*r + 6. Let h(c) = v*j(c) - 6*p(c). Solve h(b) = 0 for b.
0
Let x be 4 - (72/3888)/(2/426). Let d(a) be the second derivative of -4/9*a**3 + 0 - 4/3*a**2 - 17*a - x*a**4. Factor d(r).
-2*(r + 2)**2/3
Let r(n) = 2*n**2 - 61*n + 14. Let g(k) = -k**2 + 30*k - 8. Let j(v) = -7*g(v) - 4*r(v). Factor j(i).
-i*(i - 34)
Let z(h) = 1 + 0*h + 3*h**2 - h - 2*h**2. Let p(l) = -l**3 + 310*l - 5 - 78*l - 5*l**2 - 65*l - 81*l - 80*l. Let m(r) = -2*p(r) - 10*z(r). Factor m(y).
2*y*(y - 1)*(y + 1)
Let h(v) be the third derivative of 15*v**8/32 - v**7/28 - 43*v**6/24 - v**5/12 + 115*v**4/48 + 25*v**3/12 + 363*v**2 + 1. Suppose h(u) = 0. What is u?
-1, -1/3, 5/7, 1
Let i(q) = -2*q**4 + 5*q**3 + 11*q**2 - 36*q - 25. Let x(z) = z**4 - 2*z**3 - 6*z**2 + 19*z + 13. Let h = 385 + -382. Let j(m) = h*i(m) + 5*x(m). Factor j(d).
-(d - 5)*(d - 2)*(d + 1)**2
Let z be (50/(-25))/((-1)/2). Suppose 63*w = 61*w + z. Solve -j**4 - 3*j**4 + j**5 + 10*j**4 + w*j**5 = 0.
-2, 0
Let i(f) be the third derivative of 2*f**7/735 - 17*f**6/42 - 87*f**5/35 - 263*f**4/42 - 176*f**3/21 + 1442*f**2. Factor i(n).
4*(n - 88)*(n + 1)**3/7
Let o(s) be the second derivative of s**7/7560 - s**5/1080 - 43*s**3/6 + s. Let y(m) be the second derivative of o(m). Suppose y(a) = 0. Calculate a.
-1, 0, 1
Let i be ((-1)/(-7))/((-22)/2178*-33). Factor -i*f**2 + 0 + 9/7*f.
-3*f*(f - 3)/7
Let x = -13328 - -66318/5. Let r = -64 - x. Find y such that -1/5*y**2 + 1/5*y + r = 0.
-1, 2
Let n(l) be the third derivative of l**6/270 - 13*l**5/45 + 71*l**4/54 + 74*l**3/9 + 1817*l**2. Factor n(b).
4*(b - 37)*(b - 3)*(b + 1)/9
Let p = -11329519/40 + 283214. Let b = p - -195/8. Factor -1/5*r**2 + 0 - b*r + 2/5*r**3 + 1/5*r**4.
r*(r - 1)*(r + 1)*(r + 2)/5
Suppose -57*a + 2205 = 48*a. Solve -3/2*y**2 + a*y - 39/2 = 0.
1, 13
Let s = 1066481/35 + -213292/7. Factor 0 + 24*x - s*x**2.
-3*x*(x - 40)/5
Let p = 2083 - -786. Factor 1966 + 610 - 311*o - 19*o + p + 5*o**2.
5*(o - 33)**2
Let j(t) = -2*t**2 - 1. Let b(r) = 2*r - 272*r**3 + 1 + 271*r**3 - 3*r. Let c = 3 + -2. Let a(w) = c*b(w) + j(w). Let a(y) = 0. Calculate y.
-1, 0
Let f = 101338 - 101336. Determine u so that -3/5*u**4 + 3*u**3 + 0 + 3/5*u**f - 3*u = 0.
-1, 0, 1, 5
Let q(n) be the first derivative of -1/6*n**4 - 6 + 2/15*n**6 - n**2 + 0*n - 1/5*n**5 + 0*n**3. Let x(g) be the second derivative of q(g). Factor x(d).
4*d*(d - 1)*(4*d + 1)
Let d(c) = -c**4 + 2*c**3 + c. Let a(z) = 32*z**4 + 48*z**3 + 480*z**2 - 156*z - 2560. Let v(q) = -a(q) - 28*d(q). Suppose v(r) = 0. What is r?
-20, -4, 2
Let a be ((-264)/216)/(242/(-220)). Factor 1/9*o**2 + 1 - a*o.
(o - 9)*(o - 1)/9
Let n be (114/812)/((-144)/(-5432)). Let z = -4/87 + n. Factor -1/4*k**3 - z*k + 2*k**2 + 9/2.
-(k - 3)**2*(k - 2)/4
Factor -231*a**3 + 2216*a + 2220*a**2 + 149*a**3 + 86*a**3.
4*a*(a + 1)*(a + 554)
Suppose 1857/4*d**3 - 4095*d - 588 - 147/4*d**5 + 693/2*d**4 - 7026*d**2 = 0. Calculate d.
-4, -2/7, 7
Let i(m) = 4*m**2 - 143*m - 34. Let u be i(36). Factor 0*q**2 - 8*q**2 + u*q**5 - 3*q**5 - 16*q + 8*q**5 - 22*q**4 - 3*q**5 + 36*q**3.
2*q*(q - 2)**3*(2*q + 1)
Suppose 2*w - 4*m + m - 67 = 0, -3*w + 99 = -4*m. Let b = -15 + w. Factor 37*z**2 - 16*z**2 - 10*z**2 - b*z**2 + 21*z.
-3*z*(z - 7)
Suppose 6*c = -285*c - 359*c + 1300. Let k = 69998/45927 + -2/6561. Determine y, given that 2/21*y**c + 128/21 - k*y = 0.
8
Let l = 767278 - 767218. Solve l*h + 15/4*h**5 + 1365/4*h**3 - 80 + 265/4*h**4 + 1675/4*h**2 = 0.
-8, -1, 1/3
Let o be 0/246*(3/(-60) - (-3)/12). Factor -4/9*a + 10/9*a**2 + 2/3*a**3 + o.
2*a*(a + 2)*(3*a - 1)/9
Determine d so that -434/5 + 219/5*d - 1/5*d**2 = 0.
2, 217
Let k(d) = -19*d**2 + 1164*d + 536. Let h(j) = -37*j**2 + 2328*j + 1055. Let n(v) = 4*h(v) - 7*k(v). Factor n(f).
-3*(f - 78)*(5*f + 2)
Let k(m) be the second derivative of -m**5/4 - 10*m**4 + 395*m**3/6 - 135*m**2 + 1418*m. Factor k(l).
-5*(l - 2)*(l - 1)*(l + 27)
Suppose 52*j + 11 = 115. Let p(u) be the third derivative of -12*u**j + 0*u + 0 + 0*u**3 + 1/300*u**5 - 1/120*u**4 + 1/600*u**6 - 1/1050*u**7. Factor p(s).
-s*(s - 1)**2*(s + 1)/5
Let n be (455/1680)/(2/4). Let p(g) be the first derivative of n*g**3 - 17/40*g**5 - 11/32*g**4 - 5/48*g**6 + 1/2*g - 23 + g**2. Suppose p(y) = 0. Calculate y.
-2, -1, -2/5, 1
Factor 1070*b**3 - 4 + 764*b**2 + 1062*b + 802*b**2 + 570*b**2.
2*(b + 1)**2*(535*b - 2)
Let l(v) be the second derivative of -v**4/60 - 31*v**3/30 - 99*v**2/5 + 4946*v. Factor l(b).
-(b + 9)*(b + 22)/5
Let v(t) = -t**2 + 16*t - 41. Let p be v(13). Let d be 4/2 + p + 4. Factor -60*h + 3*h**d + 2*h**4 - 40 + h**2 - 4*h**2 - 7*h**2 + 15*h**3.
5*(h - 2)*(h + 1)*(h + 2)**2
Let s(b) be the second derivative of b**4/12 + 217*b**3/3 + 47089*b**2/2 - 415*b. Factor s(r).
(r + 217)**2
Let k = 353 + -350. Factor 25 + 4 - 3*c**4 - 14*c**k - 25*c**3 + 39*c - 33*c**2 + 7.
-3*(c - 1)*(c + 1)**2*(c + 12)
Suppose 308 = 12*u + 248. Solve 90 + 35*t + u*t**3 - 3*t**3 - 18*t**2 + 3*t**3 - 32*t**2 = 0.
-1, 2, 9
Let v be (54/33)/((-519)/66 + 8). Factor -60 - v*c - 3/5*c**2.
-3*(c + 10)**2/5
Let k be 7/((-28)/12) - -6. Let 2029*s + 20*s**k + 120 - 5*s**4 + 25*s**2 - 2199*s + 10*s**2 = 0. What is s?
-3, 1, 2, 4
Factor 30/11*i**3 + 0*i + 4/11*i**2 + 0 - 34/11*i**4.
-2*i**2*(i - 1)*(17*i + 2)/11
Let m(i) be the second derivative of 38/3*i**3 - 1/12*i**4 + 2*i - 19 - 722*i**2. Determine s so that m(s) = 0.
38
Solve -5/4*i**5 - 5*i + 25/4*i**3 - 25/4*i**4 + 125/4*i**2 - 25 = 0.
-5, -2, -1, 1, 2
Let g(d) = -6*d**2 + 53*d + 39. Let b be g(12). Let t be ((-54)/b)/((-3)/(-21)). Determine u so that -5 - 5/2*u**3 + 35/6*u - 5/6*u**4 + 5/2*u**t = 0.
-3, -2, 1
Let d be (-1)/(-1*(7 + -14 + 8)). Let u(v) = v**3 - v. Let n = 24 + -42. Let w(p) = 12*p**3 - 15*p**2 - 21*p + 6. Let j(s) = d*w(s) + n*u(s). Factor j(z).
-3*(z + 1)*(z + 2)*(2*z - 1)
Let p(i) be the first derivative of -4*i**3/15 - 5406*i**2/5 + 10816*i/5 - 6195. Factor p(t).
-4*(t - 1)*(t + 2704)/5
Let p(c) be the first derivative of -c**5/5 - 197*c**4/2 - 13067*c**3 - 38612*c**2 - 38416*c + 12810. Factor p(h).
-(h + 1)**2*(h + 196)**2
Solve -100 - 9*a**5 - 139272*a**3 - 132*a**4 - 133*a - 1304*a**2 - 532*a + 138602*a**3 = 0.
-5, -4, -1/3
Let c(z) = -z**3 + 10*z**2 + 2*z - 13. Suppose -2*q + 7*q = 50. Let i be c(q). Suppose 3*b**2 + 1 - i - 2*b + 4*b + 5*b = 0. What is b?
-3, 2/3
Factor 1452 + 199605*w**2 - 199601*w**2 - 1828*w + 372*w.
4*(w - 363)*(w - 1)
Let r(k) be the second derivative of 2*k**7/9 - 206*k**6/45 + 383*k**5/15 - 197*k**4/9 - 20*k**3 - 269*k. What is l in r(l) = 0?
-2/7, 0, 1, 5, 9
Suppose 320/