 f*i + 5*i**4 - 10*i**3 + 297*i = 0?
-2, 0, 1
Suppose 228 = -64*b + 70*b. Factor -57*g**3 + 5 + 6 + 3*g**3 - 6*g**3 + 240*g - b - 513*g**2.
-3*(g + 9)*(4*g - 1)*(5*g - 1)
Let a = 61/39 - -10/13. Let g(m) be the third derivative of 7/15*m**5 - 1/30*m**6 + 16/3*m**3 - a*m**4 + 0 + 0*m + 22*m**2. Solve g(y) = 0 for y.
1, 2, 4
Factor -638 - 112*v - 679 - 15 + 42*v**2 - 38*v**2.
4*(v - 37)*(v + 9)
Find f such that -60*f - 62*f - 37*f - 129*f**3 - 206 - 282 + 12*f**4 + 339*f**2 + 425 = 0.
-1/4, 1, 3, 7
Find l, given that 0 - l + 5/4*l**3 - 1/4*l**5 + 0*l**2 + 0*l**4 = 0.
-2, -1, 0, 1, 2
Factor 1692 + 964/5*k**2 + 5676/5*k + 4/5*k**3.
4*(k + 3)**2*(k + 235)/5
Let o = 2261041/3 - 753679. Find k such that o*k**4 + 2/3*k**3 + 0 - 2/3*k**5 - 4/3*k**2 + 0*k = 0.
-1, 0, 1, 2
Let g(u) be the second derivative of 0 - 1/28*u**7 - 31/40*u**5 - 1/2*u**3 - 17/60*u**6 - 23/24*u**4 - 58*u + 0*u**2. Let g(v) = 0. What is v?
-3, -1, -2/3, 0
Solve -5*i**4 + 2933*i**2 + 716 - 512*i - 76*i**3 + 308 + i**4 - 3365*i**2 = 0 for i.
-8, -4, 1
Let y be (-1)/(-14)*7*(4 - 322). Let t = -627/4 - y. Determine w so that -t*w**4 - 51/4*w**3 + 21/4*w**2 + 6*w + 27/4*w**5 - 3 = 0.
-1, 2/3, 1
Let v(t) be the second derivative of -2/15*t**6 + 4/5*t**5 + 8/3*t**3 - 34 - 2*t**4 - 2*t**2 - t. Factor v(n).
-4*(n - 1)**4
Let d(b) be the second derivative of 3*b + 2*b**2 - 1/6*b**4 - 1/3*b**3 + 27. Factor d(z).
-2*(z - 1)*(z + 2)
Let n(p) be the second derivative of -21/20*p**5 + 3*p**4 + 0*p**3 + 0*p**2 + 1/10*p**6 - 54 - p. Factor n(l).
3*l**2*(l - 4)*(l - 3)
Suppose 2*p = -3*m - 11, -2*m - 18 = -4*p - 0*m. Suppose 109*w**2 + w**3 - 35*w**2 - 2*w**3 - 37*w**2 - 3*w - 33*w**p = 0. Calculate w.
0, 1, 3
Let o(h) be the third derivative of -h**7/525 - h**6/150 + h**4/30 + h**3/15 - 900*h**2. Factor o(n).
-2*(n - 1)*(n + 1)**3/5
Let u(f) be the second derivative of -1/210*f**6 - 17/2*f**2 + 0*f**3 + 14*f + 0 + 0*f**5 + 1/42*f**4. Let i(v) be the first derivative of u(v). Factor i(r).
-4*r*(r - 1)*(r + 1)/7
Let k be -8*4 - (-11 + (-1 - -8)). Let f be 26/k - 99/(-66). Find u such that f*u**3 + 2/7*u**4 + 0*u - 2/7*u**5 + 0 + 0*u**2 = 0.
-1, 0, 2
Let d(y) be the third derivative of -5*y**8/504 + 64*y**7/945 - 67*y**6/540 - y**5/15 + 7*y**4/27 + 8*y**3/27 + 2*y**2 + 3*y + 364. Suppose d(m) = 0. What is m?
-2/5, -1/3, 1, 2
Let i(u) = 489*u - 485. Let g be i(1). Let z(a) be the first derivative of 3/35*a**5 + 0*a - 3/7*a**g + 0*a**2 + 4/7*a**3 - 50. Factor z(w).
3*w**2*(w - 2)**2/7
Let j = 10534/777 - 4/2331. Let h = 539774 - 539770. Factor -2/9*f**4 - h*f**3 + 40*f - 200/9 - j*f**2.
-2*(f - 1)**2*(f + 10)**2/9
Suppose 12*q - 170 = -5*q. Let -q*i**3 + 5*i**3 + 150 + 255*i - 160*i = 0. Calculate i.
-3, -2, 5
Let u(l) be the third derivative of -l**8/191520 + l**7/5320 - l**6/380 + 7*l**5/10 - 153*l**2. Let s(d) be the third derivative of u(d). Factor s(a).
-2*(a - 6)*(a - 3)/19
Let f(q) be the first derivative of -5*q**3/3 - 115*q**2/2 - 110*q + 7416. Find d such that f(d) = 0.
-22, -1
Suppose -9*b = 341 - 539. Suppose -309*g = -320*g + b. Find h such that -6/13*h**3 - 2/13*h**4 + 0 + 8/13*h + 0*h**g = 0.
-2, 0, 1
Solve -2745*u + 2008*u - 3019*u + 3300 - 4*u**3 - 2848*u + 3308*u**2 = 0 for u.
1, 825
Suppose 0*i + 35 = 5*i + o, 0 = -i - 4*o + 7. Suppose 3*a + i = 2*a + 5*y, 2*a - 30 = -y. Solve -7 + 12*z - 3*z**2 + 8 - a = 0.
2
Let t(w) be the second derivative of 32/9*w**2 + 0 + 29282/135*w**6 + 968/9*w**4 - 704/27*w**3 - 10648/45*w**5 - 6*w. Factor t(a).
4*(11*a - 2)**4/9
Let v be (0/3 - 362)*(-9)/18. Suppose 2*u**4 - 13*u - 6*u**2 - v + 2*u**3 + 175 + u**3 = 0. Calculate u.
-3/2, -1, 2
Let 82446/5*x**3 - 21171/5*x**2 + 1596/5*x + 8232/5*x**5 + 113484/5*x**4 - 39/5 = 0. Calculate x.
-13, -1, 1/14
Let x be 2*(2 + 2) - (-5)/1. Suppose -k**3 + 336 + x*k - 306 - 14*k**2 + 9*k - 5*k = 0. What is k?
-15, -1, 2
Let t(w) be the first derivative of 0*w - 5/4*w**4 - 75 + 0*w**3 + 5/2*w**2. Factor t(g).
-5*g*(g - 1)*(g + 1)
Let u(k) be the second derivative of -k**4/48 + 473*k**3/12 - 223729*k**2/8 + 2998*k. Factor u(b).
-(b - 473)**2/4
Suppose 21*n + 66*n - 4278 = -51*n. Let y(o) be the first derivative of n + 0*o**2 - 2/39*o**3 + 0*o. Suppose y(b) = 0. Calculate b.
0
Suppose -35 + 43 = 4*s. Let i be 711/316 - (18/8 - s). Factor -2/3*k**i + 4 + 2/3*k.
-2*(k - 3)*(k + 2)/3
Let y(x) = -2135 + 5*x**2 - 4*x**2 + 2135. Let f(q) = 3*q**4 - 3*q**3 - 21*q**2 + 36*q. Let i(w) = -f(w) + 3*y(w). Factor i(u).
-3*u*(u - 2)**2*(u + 3)
Let w be ((-1270)/(-3))/(((-512)/(-48))/(-16)). Let m be (-2)/(-8) + (w/60 - -11). Let 0 - 2/3*g**2 - 2/3*g + m*g**4 + 2/3*g**3 = 0. Calculate g.
-1, 0, 1
Let i = -51/10 - 462/5. Let j = i - -98. Factor -j*z**2 + 0 - z + 1/2*z**3.
z*(z - 2)*(z + 1)/2
Let j(n) be the second derivative of -n**8/20160 + 35*n**4/12 + n**2/2 - 17*n. Let h(u) be the third derivative of j(u). Factor h(r).
-r**3/3
Let i(v) be the third derivative of 1/1440*v**6 + 1/96*v**4 + 0 + 0*v + 5*v**2 + 2/3*v**3 + 1/240*v**5. Let p(x) be the first derivative of i(x). Factor p(y).
(y + 1)**2/4
Let y be (59 - 8694/147)*63/(-2). Factor 3/2 - 15/8*i**3 + 9/8*i**2 + y*i.
-3*(i - 2)*(i + 1)*(5*i + 2)/8
Factor 444808 - 390039 - 5312*d - 6*d**2 + 10*d**2 + 814121 + 894694.
4*(d - 664)**2
Let u(b) = b**2 + 163*b + 482. Let s be u(-3). Let a be 31/(-13) - 6/(-2). Let -a - 10/13*d - 2/13*d**s = 0. Calculate d.
-4, -1
Let r be (96/(-2688))/((-8)/504). Let -11/4*g + 0 - r*g**3 - 1/4*g**4 + 21/4*g**2 = 0. Calculate g.
-11, 0, 1
Let v(q) = q**2 - 31*q - 63. Suppose -2*d - 5*i + 66 = 0, i = -2*d - 3*i + 66. Let c be v(d). Factor 4/3*y**c + 0 - 2/3*y**4 + 0*y + 0*y**2.
-2*y**3*(y - 2)/3
Let y(h) be the third derivative of -h**6/30 + 206*h**5/15 - 5200*h**4/3 - 43264*h**3/3 - h**2 - 1309. Factor y(d).
-4*(d - 104)**2*(d + 2)
Let s = 246535 + -739604/3. Factor -10/3 + s*t**3 + t + 2*t**2.
(t - 1)*(t + 2)*(t + 5)/3
Let o(s) = 36*s**4 + 22*s**3 + 264*s**2 + 28*s + 26. Let x(u) = -u**4 - 3*u**2 + u - 1. Let n(v) = -2*o(v) - 92*x(v). What is w in n(w) = 0?
-2, -1, 1/5, 5
Factor -289*x - 265*x - 15761*x**2 + x**3 + 187*x - 420 + 15815*x**2.
(x - 7)*(x + 1)*(x + 60)
Let l(x) be the third derivative of x**7/210 + 11*x**6/120 + x**5/6 - 3*x**4 + 307*x**2 + x. Factor l(k).
k*(k - 2)*(k + 4)*(k + 9)
Let d be (-88)/220 - 36/(-15). Suppose 0 = 3*a - d*c, -5*a - 37*c = -34*c. Suppose 3/11*o**2 - 1/11*o**4 + a + 0*o**3 - 2/11*o = 0. Calculate o.
-2, 0, 1
Let s = 28363/1261 + -292/13. Let i = 173/679 + s. Let 4/7*q**3 - 5/7*q - 2/7*q**2 + 4/7*q**4 - i + 1/7*q**5 = 0. What is q?
-2, -1, 1
Suppose 2/15*d**3 + 306/5 + 6*d**2 - 198/5*d = 0. What is d?
-51, 3
Let y = 26 - 6. Suppose 0 = 31*d - 32*d + y. Factor 2*x - x**2 - 14 - d + 33.
-(x - 1)**2
Let i be (-16 - 2828/(-182)) + 1080/(-195) + 9. Find r, given that 5/4*r**i + 2*r**2 + 0 + 0*r + 1/8*r**4 = 0.
-8, -2, 0
Suppose -31 = -9*v + 14. Determine a, given that -16*a**5 + 10*a**5 + 2*a**2 + 16*a**2 + 3*a**v + 15*a**3 - 6*a**4 = 0.
-3, -1, 0, 2
Let h(x) be the first derivative of -5*x**3/6 + 7*x**2 + 38*x + 1339. What is q in h(q) = 0?
-2, 38/5
Let d be 3638/5 - (-78)/195. Let n = d - 2909/4. Suppose -3/4*a**2 + 1/2*a**3 + 0 - 1/2*a + n*a**4 = 0. What is a?
-1, -2/3, 0, 1
Let s = -43 - -46. Suppose 5*w = 5*p + 10, 0 = w - 1 - 4. Suppose 11 + 3*l - 6 - p - l**s = 0. Calculate l.
-1, 2
Suppose 6002 = -5*v + 3*c, -4*c - 2753 = 3*v + 825. Let x = -2395/2 - v. Suppose 0 - m + 1/2*m**2 + x*m**3 = 0. What is m?
-2, 0, 1
Let n = 734 - 2414. Let f be 504/n + (-33)/(-10). Factor -98/9 + 8*u**f - 70/9*u + 32/3*u**2.
2*(u - 1)*(6*u + 7)**2/9
Let u(s) be the third derivative of -s**6/40 - 59*s**5/20 - 899*s**4/8 - 841*s**3/2 + 1430*s**2. Solve u(a) = 0 for a.
-29, -1
Let h(j) be the first derivative of -33/5*j**5 - 4/5*j**6 + 0*j**2 + 21/20*j**4 + 0*j - 61 + 0*j**3. Let h(c) = 0. What is c?
-7, 0, 1/8
Determine b so that -26797*b - 10062*b + 2615*b**2 + 211890*b + 3*b**3 + 165569*b + 2*b**3 - 343220 = 0.
-262, 1
Let l(t) be the third derivative of 1/672*t**8 + 95*t**2 - 23/240*t**6 + 0*t - 1/420*t**7 + 0 - 3/8*t**4 - 13/40*t**5 + 0*t**3. Suppose l(o) = 0. Calculate o.
-3, -1, 0, 6
Let t(r) be the second derivative of -173*r**5/150 + 172*r**4/45 + 4*r**3/45 + 4159*r. Factor t(d).
-2*d*(d - 2)*(173*d + 2)/15
Let r be (5/10