= 7*a**3 - 3*a**2 + 3*a - 1. Let x be t(1). Let i be n(x). Factor -32*p**2 + i*p**2 + p + p.
2*p*(p + 1)
Let c = -2518771296/3896243 + 4/299711. Let j = -646 - c. Suppose -2*x - 8/13*x**2 - j = 0. Calculate x.
-3, -1/4
Solve 2/13*c**2 + 470/13 + 8*c = 0 for c.
-47, -5
Let w(o) be the third derivative of -o**7/6 + 45*o**6/8 + 289*o**5/6 + 195*o**4/2 - 460*o**3/3 + 10649*o**2. Find u, given that w(u) = 0.
-2, 2/7, 23
Suppose 115*d - 63*d - 780 = -143*d. Let x(a) be the first derivative of 3/8*a**2 + 3/20*a**5 + 1/8*a**6 - 3/8*a**d - 1/2*a**3 + 3/4*a - 1. Factor x(s).
3*(s - 1)**2*(s + 1)**3/4
Let w(a) = -a**3 + 8*a**2 + 8*a + 13. Let s = -20 - -29. Let c be w(s). Factor 4 - 7 + c*b + 3 - 8 + 4*b**2.
4*(b - 1)*(b + 2)
Solve 1/3*y**5 - 413*y**2 + 13*y**4 + 317/3*y**3 + 294*y + 0 = 0 for y.
-21, 0, 1, 2
Let r be 8 + ((-912)/(-320))/((-6)/16). Let q(l) be the second derivative of -15*l - r*l**5 - 1/3*l**4 + 0 + 2*l**2 + 1/21*l**7 + l**3 + 0*l**6. Factor q(u).
2*(u - 2)*(u - 1)*(u + 1)**3
Let r be (3 - 2)*959/7. Suppose -k = -r + 133. Factor 2*x - 7*x**3 + 5*x**3 - 10*x**2 - x + 4*x**k - 5*x.
2*x*(x - 2)*(x + 1)*(2*x + 1)
Let q = 20932377/710666 - 3/64606. Factor -90/11*i - 2/11*i**3 - 32/11*i**2 + q.
-2*(i - 2)*(i + 9)**2/11
Let t(w) = -w**2 - 1514*w - 35758. Let x be t(-24). Determine z so that -7*z**x + 12*z - 20/7 = 0.
2/7, 10/7
Let y be (9/15)/((-38)/(-190)). Let l(w) be the third derivative of 4/21*w**y - 1/105*w**5 + 0*w + 1/42*w**4 - 4*w**2 + 0. Suppose l(h) = 0. Calculate h.
-1, 2
Let l(w) be the third derivative of 3/2*w**3 - 3/20*w**5 + 0 + 0*w - 1/40*w**6 + 1/8*w**4 + 66*w**2. Suppose l(n) = 0. Calculate n.
-3, -1, 1
Let j(n) be the second derivative of -n**7/14 + 3*n**6/5 + 81*n**5/5 - 115*n**4/2 + 117*n**3/2 - 35*n + 24. Suppose j(l) = 0. Calculate l.
-9, 0, 1, 13
Factor -7398*n**2 - 876130145 - 414582869 + 6081156*n + 3*n**3 - 375523730.
3*(n - 822)**3
Let t(g) be the third derivative of -g**6/600 + 329*g**5/300 - 487*g**4/60 - 652*g**3/15 - 3*g**2 + 686. Factor t(j).
-(j - 326)*(j - 4)*(j + 1)/5
Let o(c) be the first derivative of 5/3*c**3 - 25/2*c**2 - 263 - 30*c. Find j, given that o(j) = 0.
-1, 6
Let r(g) = 346*g**2 + 3*g - 8. Let l be r(2). Determine z, given that l + 4*z - 1382 - 8*z**2 + 2*z**3 + 4*z = 0.
0, 2
Suppose 3*a - 12*a + 270 = 0. Suppose 5*o - f - 20 = a, -f = o - 16. Solve 12*m + o*m**2 + 0*m - 8*m**2 + 12 = 0 for m.
-2
Let y be 34826/(-25830) - 57/(-285). Let p = -2/369 - y. Let 0*m - 4/7*m**4 + p*m**2 - 4/7 + 0*m**3 = 0. Calculate m.
-1, 1
Let p(z) be the second derivative of -z**6/12 - z**5/12 + 5*z**4/8 + 104*z**2 - 35*z. Let a(n) be the first derivative of p(n). Factor a(c).
-5*c*(c - 1)*(2*c + 3)
Factor 195/2*m + 138 - 39*m**2 + 3/2*m**3.
3*(m - 23)*(m - 4)*(m + 1)/2
Let a(p) be the third derivative of -2*p**7/105 - p**6/5 + 9*p**5/5 + 18*p**4 - 216*p**3 - 2522*p**2. Determine v, given that a(v) = 0.
-6, 3
Let s be ((-18)/(-36))/((-12)/212) - -9. Let w(n) be the first derivative of 1/18*n**3 + 1/12*n**4 - s*n**2 - 1/6*n + 18. Factor w(g).
(g - 1)*(g + 1)*(2*g + 1)/6
Let q(t) = -t**2 - 12*t - 6. Let l be q(-10). Suppose -16 = -10*z + l. Determine j so that -z - 20*j**3 - 6*j**3 + 1 - 6*j**4 + 10*j + 14 - 22*j**2 = 0.
-3, -1, 2/3
Let l = -110990 + 332971/3. Factor -2/3*r + 0 - 5/3*r**2 - l*r**4 - 4/3*r**3.
-r*(r + 1)**2*(r + 2)/3
Let s(t) be the second derivative of -1/36*t**4 - 3*t + 0*t**2 - 4 - 1/60*t**5 + 1/9*t**3. Factor s(q).
-q*(q - 1)*(q + 2)/3
Let t be 5/(-15)*(-126)/70*5. Let k(o) be the second derivative of 0 + t*o**2 - 12*o - 3/40*o**5 + 7/4*o**3 + 1/4*o**4. Suppose k(s) = 0. Calculate s.
-1, 4
Factor -2*z + 3/4*z**2 + 1.
(z - 2)*(3*z - 2)/4
Let k = -54 + 33. Let d(w) = w**3 + 20*w**2 - 22*w - 17. Let r be d(k). Determine f so that 0*f + 79*f**2 - 73*f**2 - 2*f**3 - r*f = 0.
0, 1, 2
Factor 2 - 386*g - 2*g**2 - 386*g - 390*g + g**2 + 1163*g.
-(g - 2)*(g + 1)
Let d(v) = 43*v**2 + 18*v + 239. Let w(y) = -26*y**2 - 9*y - 121. Let j(h) = -6*d(h) - 10*w(h). Solve j(k) = 0 for k.
-7, 16
Suppose -4*q - 3*p = 8 - 17, -3*q - 4*p + 12 = 0. Suppose 5*c + 0*c + w - 12 = q, w + 6 = c. Factor -1029/2*y**5 + 0 - 441*y**4 + 0*y - 126*y**c - 12*y**2.
-3*y**2*(7*y + 2)**3/2
Suppose 795/2*y - 1/4*y**4 - 450 + 9*y**3 - 413/4*y**2 = 0. What is y?
2, 4, 15
Let h(u) be the second derivative of -u**7/126 + 29*u**6/90 - 23*u**5/10 - 4163*u. Determine v, given that h(v) = 0.
0, 6, 23
Solve -230*g + 5/2*g**2 + 450 = 0.
2, 90
Suppose -21*d + 82 + 86 = 63*d. Let x(z) be the first derivative of -3/8*z**4 - 5 + 3*z**3 + 12*z - 9*z**d. Let x(u) = 0. Calculate u.
2
Let a(u) be the third derivative of -165*u**2 + 0*u + 0 - 2/51*u**3 - 1/510*u**5 - 1/68*u**4. What is k in a(k) = 0?
-2, -1
Factor 4*m**5 + 382329/4*m**3 - 1074*m**4 - 5541615/2*m**2 - 1640250 - 4319325*m.
(m - 90)**3*(4*m + 3)**2/4
Let 38*f**3 - 88/17*f - 520/17*f**4 + 42/17*f**5 + 0 - 80/17*f**2 = 0. What is f?
-2/7, 0, 2/3, 1, 11
Suppose -22*t**2 - 10/3 - 16*t - 28/3*t**3 = 0. What is t?
-1, -5/14
Let n(f) = f**3 + 12*f**2 - 106*f - 182. Let v(g) = 12*g**2 - 54*g - 92. Let x(t) = -4*n(t) + 10*v(t). Let x(y) = 0. Calculate y.
-1, 3, 16
Factor -5/2*l**2 + 135 + 125/2*l.
-5*(l - 27)*(l + 2)/2
Factor -90*t + 1/9*t**2 + 809/9.
(t - 809)*(t - 1)/9
Let q(n) be the second derivative of -n**7/357 - 16*n**6/255 + 11*n**5/34 - 19*n**4/51 - 5165*n. Solve q(v) = 0.
-19, 0, 1, 2
Let l(m) be the second derivative of -m**7/9 + 257*m**6/45 + 1187*m**5/30 + 1739*m**4/18 + 980*m**3/9 + 164*m**2/3 + 1121*m + 1. Solve l(c) = 0.
-2, -1, -2/7, 41
Let i = -6320/1061 + 20021/3183. Let d be 5/(1 - (0 + 0)). Suppose i*r**4 - 1/3*r**2 + r**3 - 1/3*r**d + 0 - 2/3*r = 0. What is r?
-1, 0, 1, 2
Let o(v) = 7*v + 7. Let b be o(-1). Suppose 7*i = -b*i + 70. Find z such that z**2 + 16*z - 15*z**2 + i*z**2 = 0.
0, 4
Find y such that -1 + 1 + 5027*y + 1998*y - 56*y**2 + 51*y**2 = 0.
0, 1405
Let a(u) be the first derivative of -3*u**4/20 - 3*u**3 - 117*u**2/10 + 33*u + 279. Factor a(h).
-3*(h - 1)*(h + 5)*(h + 11)/5
Let r be (-60)/(-2)*(-6)/((-72)/(-6)). Let q = r - -18. Factor -368*n + 4*n**q + 128 - 24*n**2 + 368*n.
4*(n - 4)**2*(n + 2)
Suppose 2 + 14 = 4*x. Let h = -5922 + 5942. Determine k so that h*k**2 - k**x + 3*k**5 - 8*k**2 - 5*k**4 - 3*k**3 - 6*k**2 = 0.
-1, 0, 1, 2
Let s be 266/741*(-13 - -19) + -1 + -1. Determine x, given that 0*x**2 + s*x**5 + 0*x + 0 + 8/13*x**3 + 8/13*x**4 = 0.
-2, 0
Let z = -1943521/9 + 215947. Let z*r**2 + 4/9*r + 0 - 4/9*r**3 - 2/9*r**4 = 0. Calculate r.
-2, -1, 0, 1
Let b be 30 - -3 - (193 + -160). Solve 0 + b*f + 4/13*f**4 - 4/13*f**2 - 2/13*f**5 + 2/13*f**3 = 0.
-1, 0, 1, 2
Let k = 34175 - 34135. Let s(b) be the first derivative of -8/5*b + 2/15*b**3 + 0*b**2 + k. Factor s(h).
2*(h - 2)*(h + 2)/5
Let y(g) be the first derivative of 7*g**5/10 - 5*g**4 + 11*g**3/2 - 654. Factor y(s).
s**2*(s - 1)*(7*s - 33)/2
Factor -84*b**2 - 64 - 176*b - 20*b**3 + 10*b**3 - 39*b**3 - 77*b**2.
-(b + 1)*(7*b + 8)**2
Let u = -473/261 - -6671/3393. Factor -2/13*n + 4/13*n**4 + 0 + u*n**5 - 4/13*n**2 + 0*n**3.
2*n*(n - 1)*(n + 1)**3/13
Let l(q) be the second derivative of -q**5/20 + q**4 + 91*q**3/6 - 51*q**2 - 7*q + 54. Factor l(y).
-(y - 17)*(y - 1)*(y + 6)
Let k(s) be the first derivative of 27*s + 1/18*s**4 + 4/3*s**2 - 4/9*s**3 + 18. Let f(l) be the first derivative of k(l). Solve f(a) = 0 for a.
2
Determine a so that 0 + 0*a + 223/4*a**2 - 1/4*a**3 = 0.
0, 223
Let r(c) be the third derivative of c**7/420 + 19*c**6/60 + 1079*c**5/60 + 2261*c**4/4 + 42483*c**3/4 + 2*c**2 + 650. Factor r(z).
(z + 17)**2*(z + 21)**2/2
Let y(b) be the first derivative of b**4/4 + 586*b**3/3 + 1169*b**2/2 + 584*b + 1304. Factor y(h).
(h + 1)**2*(h + 584)
Let k = -12855 + 12855. Let g(d) be the first derivative of -4*d + k*d**3 - 3*d**2 + 1/2*d**4 + 8. Factor g(o).
2*(o - 2)*(o + 1)**2
Let c(l) be the first derivative of l**4/24 - 53*l**3/18 - 56*l**2/3 - 38*l - 1559. Solve c(s) = 0 for s.
-2, 57
Let o(a) = -71*a - 29. Let p be o(-1). Suppose 34 = 19*r - p. Factor 1/8*l**5 + 0*l - 5/8*l**3 + 0 + 3/4*l**2 - 1/4*l**r.
l**2*(l - 3)*(l - 1)*(l + 2)/8
Suppose -13*g = -7*g - 12. Factor 0*r - 127*r**2 + 124*r**g + 9*r - 6.
-3*(r - 2)*(r - 1)
Let b(w) = -w**3 - 66*w**2 + 3534*w - 99. Let o be b(-101). Factor m - 4