6*g**4 + 2*g - 11*g**3 - 16*g**2 + 4*g**5 + 2*g.
4*g*(g - 1)**4
Suppose -21*k + 20*k = -l - 987, 2*k + 10 = 0. Let p = l - -992. Let -16/5*g**3 + 0*g + p*g**2 - 4/5*g**5 + 16/5*g**4 + 0 = 0. Calculate g.
0, 2
Suppose -z - 734 = -5*a - 716, a = 8*z + 105. Factor 4*l + a + 7/4*l**2.
(l + 2)*(7*l + 2)/4
Find q, given that -3/2*q**2 + 645/2 + 321*q = 0.
-1, 215
What is y in -281/6*y - 93 - 1/6*y**2 = 0?
-279, -2
Solve -260*s + 25/2 - 105/2*s**2 = 0.
-5, 1/21
Let b(d) be the second derivative of d**5/20 - d**4/48 - 40*d**2 + 3*d - 1. Let y(w) be the first derivative of b(w). Factor y(g).
g*(6*g - 1)/2
Factor w**3 + 9*w**2 + 60 - 36*w**2 + 488*w - 524*w + 2*w**3.
3*(w - 10)*(w - 1)*(w + 2)
Suppose -2 = -2*j, -j + 6 = -3*n + 2. Let z(w) = -3*w**2 + 24. Let s(c) = -2. Let i(l) = n*z(l) - 12*s(l). Let i(g) = 0. Calculate g.
0
Let a(y) be the second derivative of -4/21*y**3 + 0 + 25*y - 3/7*y**2 + 5/42*y**4 + 1/35*y**5. Factor a(p).
2*(p - 1)*(p + 3)*(2*p + 1)/7
Let l(v) = -5*v**2 - 736*v - 2864. Let i be l(-4). Suppose 10/3*t**2 - 8/3 + i*t + 0*t**3 - 2/3*t**4 = 0. Calculate t.
-2, -1, 1, 2
Determine t so that -94*t**2 - 366022*t + 366058*t - 50*t**3 + 6*t**4 + 6*t**3 = 0.
-2, 0, 1/3, 9
Let v = 211/160 + 9/32. Let f = 12847 + -12844. Factor 14/5*w + v + 1/5*w**f + 7/5*w**2.
(w + 1)*(w + 2)*(w + 4)/5
Let c = 7252 + -21700/3. Let f(j) be the first derivative of -4*j**4 - 7 - 25/2*j**2 + 3*j + c*j**3. Factor f(p).
-(p - 3)*(4*p - 1)**2
Let w = 475311 - 4277795/9. Find s such that -4/9*s**2 + 0 + w*s**4 - 8/3*s**3 + 8/3*s = 0.
-1, 0, 1, 6
Let p(d) = d**2 - 6*d - 30. Let q be p(10). Let z be 8/48*q/5. Factor 1/3 + 5/6*l - 1/6*l**5 - 2/3*l**4 + z*l**2 - 2/3*l**3.
-(l - 1)*(l + 1)**3*(l + 2)/6
Let r(q) be the third derivative of q**6/60 + 3*q**5/5 - 2*q**4 - 2*q**2 + 42*q. Let x(v) = v**3 + 12*v**2 - 16*v. Let d(f) = -3*r(f) + 8*x(f). Factor d(z).
2*z*(z - 4)*(z - 2)
Factor -1/3*d**4 + 361 - 94*d**2 + 836/3*d - 12*d**3.
-(d - 3)*(d + 1)*(d + 19)**2/3
Let i(w) be the first derivative of 0*w + 0*w**2 + 125 - 2/9*w**6 - 8*w**3 - 29/3*w**4 - 16/5*w**5. Find a, given that i(a) = 0.
-9, -2, -1, 0
Let z = -99 - -70. Let x = z + 32. Factor 14*q**2 - 4*q**x - 5*q**4 + 11*q**4 - 2*q**5 - 14*q**2.
-2*q**3*(q - 2)*(q - 1)
Let x(o) be the second derivative of -1/3*o**3 + 20*o + 1/40*o**5 + 4*o**2 + 7 - 1/6*o**4. Suppose x(g) = 0. Calculate g.
-2, 2, 4
Factor -27*a - 81*a**2 + 9045278 + 30*a**3 - 9045278.
3*a*(a - 3)*(10*a + 3)
Solve -1834*o + 901*o + o**2 - 21*o**2 - 2239*o + 43 + 1229 = 0 for o.
-159, 2/5
Let r = 103384/361893 - -2/51699. Factor -18/7 + 18/7*h + r*h**2 - 2/7*h**3.
-2*(h - 3)*(h - 1)*(h + 3)/7
Let q(h) be the second derivative of -2 - 1/45*h**5 + 13*h**2 + 13*h - 4/9*h**3 - 1/6*h**4. Let s(u) be the first derivative of q(u). Factor s(g).
-4*(g + 1)*(g + 2)/3
Let q(c) = c**2 + 12*c + 23. Let v be q(-10). Find t, given that -5*t**2 - 5*t**2 + 100*t - 5*t**v - 105*t = 0.
-1, 0
Let l(s) be the third derivative of -s**5/15 - 383*s**4/3 - 723*s**2 + 5*s. Determine d so that l(d) = 0.
-766, 0
Suppose 158*b - 121 = 153*b + p, 2*b = p + 52. Let s(f) be the first derivative of -2/5*f**5 + b + 3/2*f**4 + 0*f**2 + 0*f - 4/3*f**3. Factor s(o).
-2*o**2*(o - 2)*(o - 1)
Let y be (10/25)/(-1) - 22/(-20). Let t(v) be the second derivative of -y*v**5 - 1/6*v**3 + 0 - 35*v - 113/24*v**4 + 2*v**2. Find a such that t(a) = 0.
-4, -2/7, 1/4
Let m(x) be the second derivative of 5*x**5/12 + 13115*x**4/18 - 10498*x**3/9 + 700*x**2 + 3462*x. Find d such that m(d) = 0.
-1050, 2/5
Let j(t) = -68*t**3 + 67*t**2 + 127*t - 2. Let x(n) = -273*n**3 + 267*n**2 + 507*n - 6. Let i(z) = -9*j(z) + 2*x(z). Factor i(s).
3*(s - 2)*(s + 1)*(22*s - 1)
Let m = 1817 + -36339/20. Let d(t) be the first derivative of -m*t**4 + 1/5*t - 1/15*t**3 + 1/10*t**2 + 14. Factor d(s).
-(s - 1)*(s + 1)**2/5
Let t = -163079/54 + 3020. Let o(h) be the second derivative of 0*h**2 + 2/27*h**3 + 12*h - t*h**4 + 0. Factor o(n).
-2*n*(n - 2)/9
Suppose 3*z = d - 0*z + 16, 5*z = -2*d + 1. Let w(k) = k**2 + 8*k + 11. Let i be w(d). Find r such that 11*r**i + 18*r**3 - 7*r**4 - 15*r**2 - 7*r**4 = 0.
0, 1, 5
Let s = -1657/7 - -64399/273. Let h = s - -136/39. Factor 0 - 2*n - h*n**2 - 2/3*n**3.
-2*n*(n + 1)*(n + 3)/3
Suppose -200*r + 203*r = 6. Find x such that -19*x**2 + 4*x**5 + 22*x**r - 15*x**4 + 5*x**5 - 47*x**3 - 6*x + 32*x**2 = 0.
-2, 0, 1/3, 3
Let b(x) be the first derivative of x**4/20 - 55*x**3/3 - 2142. Solve b(s) = 0.
0, 275
Let i(a) be the first derivative of -28 - 52/7*a**2 - 40/7*a - 10/21*a**3. Determine v, given that i(v) = 0.
-10, -2/5
Let s(h) = -9*h**2 + 30*h + 71. Let u(q) = 65*q**2 - 212*q - 496. Let p(w) = 29*s(w) + 4*u(w). Let p(d) = 0. Calculate d.
-3, 25
Let j(u) = -16*u**3 - 20*u**2 - 4*u. Suppose 0 = -r - 2*l + 22, -l + 17 + 0 = r. Let n(h) = -h**3 - h**2. Let o(s) = r*n(s) - j(s). Let o(c) = 0. What is c?
-1, 0
Let d(w) be the second derivative of -w**6/15 - 49*w**5/5 - 95*w**4/2 + 4*w**3/3 + 380*w**2 + 808*w. Factor d(k).
-2*(k - 1)*(k + 2)**2*(k + 95)
Find x, given that -479 - 721 - 727*x**4 + 610*x + 1449*x**4 + 1195*x**2 - 610*x**3 - 717*x**4 = 0.
-1, 1, 2, 120
Let c(j) be the third derivative of -j**7/840 - j**6/96 + 7*j**5/40 - 19*j**4/24 + 5*j**3/3 + 2*j**2 - j + 37. Factor c(y).
-(y - 2)**2*(y - 1)*(y + 10)/4
Let q = -24593/2 - -12573. Let a = q + -275. Factor 3/4*r + a - 3/4*r**2.
-3*(r - 2)*(r + 1)/4
Determine y so that -4292*y + 280*y**4 + 14276 + 10135 - 3503 + 4*y**5 + 2625 + 4288*y**3 - 1629 - 22184*y**2 = 0.
-37, -1, 1, 4
Let h(b) be the first derivative of 2*b**3/3 - 964*b**2 + 464648*b + 1346. Factor h(c).
2*(c - 482)**2
Let v be 8 + (-658)/(-60) + 332/(-1992). Find o, given that 2209/5 + v*o + 1/5*o**2 = 0.
-47
Suppose -20*c + 55 = -9*c. Suppose c*s = -s. Factor -8/3*g**3 + 5/3*g**4 - 1/3*g**5 + 4/3*g**2 + 0*g + s.
-g**2*(g - 2)**2*(g - 1)/3
Suppose 40/7 + 12/7*z**3 - 68/7*z**2 - 12/7*z + 4*z**4 = 0. What is z?
-10/7, -1, 1
Let x be 1000/(-700)*63/(-1). Let s be (-28)/x*(-8 - (-400)/56). Factor 0*u - s*u**2 + 14/15*u**3 + 0 - 2/3*u**4.
-2*u**2*(u - 1)*(5*u - 2)/15
Let u(a) be the third derivative of -a**7/420 + 7*a**6/120 - 3*a**5/40 - 59*a**4/12 - 77*a**3/3 - 3297*a**2. Factor u(j).
-(j - 11)*(j - 7)*(j + 2)**2/2
Suppose 10 + 26 = 18*j. Factor 14*t**3 + 113*t**2 - 32*t**2 - 25*t**j - 26*t**2 + 4*t.
2*t*(t + 2)*(7*t + 1)
Let f(i) be the second derivative of -i**4/8 - 13*i**3/4 + 135*i**2/2 + 4*i - 370. Determine n so that f(n) = 0.
-18, 5
Let k(m) be the third derivative of m**5/360 + 7*m**4/72 - 95*m**3/36 + 3012*m**2. Determine f, given that k(f) = 0.
-19, 5
Let c = 537 - 535. Factor -21 + c*s**3 + s**3 + 52*s - 27*s**2 - 23*s + 16*s.
3*(s - 7)*(s - 1)**2
Suppose -222*v + 257*v - 175 = 0. Let t(x) be the first derivative of -1/20*x**4 - 1/25*x**v + 17 + 1/10*x**2 + 0*x + 1/15*x**3. Factor t(l).
-l*(l - 1)*(l + 1)**2/5
Factor -y**2 - 2*y**2 + 475*y + y**2 - y**2 - 10543*y - 8447052.
-3*(y + 1678)**2
Let b(v) = 47*v**3 - 16*v**2 - 38*v + 16. Suppose 51 = -14*u + 163. Let q(a) = 140*a**3 - 48*a**2 - 116*a + 48. Let i(y) = u*b(y) - 3*q(y). Factor i(o).
-4*(o - 1)*(o + 1)*(11*o - 4)
Suppose -67*r = -79*r - 263*r + 2475. Factor -1 - 81/4*z**2 + r*z.
-(9*z - 2)**2/4
Let g(t) = t**2 + t. Let q(o) = o**2 + o. Let n be 1/4 - (69/(-12) - -2). Suppose -n*y + 6*y = 10. Let s(x) = y*g(x) - 4*q(x). Factor s(v).
v*(v + 1)
Let x(s) be the second derivative of -s**5/5 - s**4/12 + s**3/6 + 2*s**2 + 56*s. Let r(n) = -n**3 + 1. Let v(p) = 3*r(p) - x(p). Factor v(g).
(g - 1)*(g + 1)**2
Suppose -2*x - x + 48 = 0. Suppose 3*k - 2*k = x. Solve -52 - 5*j**2 + k*j + 45*j - 48 - 5*j**3 + 19*j = 0.
-5, 2
Let g(u) be the second derivative of 39*u**5/10 - 9*u**4/4 - 13*u**3 + 27*u**2/2 - 5043*u. Factor g(r).
3*(r - 1)*(r + 1)*(26*r - 9)
Let j(q) = 605*q + 3632. Let h be j(-6). Factor 6/11 + 8/11*v + 2/11*v**h.
2*(v + 1)*(v + 3)/11
Let h(q) = q**2 - q - 7. Let t(o) = -o**3 + 20*o**2 - 85*o - 7. Let k(i) = 3*h(i) - 3*t(i). Factor k(n).
3*n*(n - 12)*(n - 7)
Let x = 3467/207 - -347/69. Determine j so that 230/9*j**2 + 40/9 + x*j - 25/9*j**3 = 0.
-2/5, 10
Solve 170100*h - 8235*h**2 - 162000 + 543/4*h**3 - 3/4*h**4 = 0 for h.
1, 60
Suppose 135*z - 739 = -334. Factor 0*a + 3/5*a**2 - 3/5*a**4 - 3/5*a**z + 3/5*a*