t g(k) = -21*k**2 - 92*k + 459. Let h(f) = 3*g(f) - 2*w(f). Factor h(r).
-(r - 5)*(r + 93)
Let j be -3 + (-1 - 8) + -1264. Let x be j/(-174) + 2*-3. Find r, given that -4/3*r + 0 + 5*r**2 + x*r**3 = 0.
-4, 0, 1/4
Let z(k) be the third derivative of 7*k**7/150 + 56*k**6/75 + 51*k**5/20 - 153*k**4/20 + 36*k**3/5 + 146*k**2 + 2*k + 4. Suppose z(c) = 0. Calculate c.
-6, -4, 3/7
Suppose 7*f = -480 + 1628. Factor 79*m**2 - 139 - f*m**2 - 72*m + 81*m**2 - 185.
-4*(m + 9)**2
Let d(x) be the first derivative of x**5/15 + x**4/3 - 209*x**3/9 + 34*x**2 + 2767. Suppose d(v) = 0. Calculate v.
-17, 0, 1, 12
Let h(j) be the second derivative of -j**7/84 + j**6/6 - 23*j**5/40 + 7*j**4/12 - 319*j - 6. Solve h(q) = 0 for q.
0, 1, 2, 7
Let l(t) = -23*t**4 - 35*t**3 + 63*t**2 + 38*t + 65. Let k(g) = 8*g**4 + 12*g**3 - 22*g**2 - 12*g - 22. Let m(d) = -17*k(d) - 6*l(d). What is y in m(y) = 0?
-2, -1, 2
Let v(m) be the second derivative of 18/35*m**5 + 4*m + 2/147*m**7 + 20/21*m**4 + 2/15*m**6 + 16/21*m**3 + 0 + 0*m**2. Find a, given that v(a) = 0.
-2, -1, 0
Let z(n) = -2*n**4 - n**3 + n + 10. Let q(o) = 7*o**4 - 29*o**3 - 93*o**2 - 95*o - 70. Let t(r) = -q(r) - 4*z(r). Factor t(l).
(l + 1)**3*(l + 30)
Let m(p) = -18*p + 225. Let b(u) = 5*u - 56. Let q(j) = 15*b(j) + 4*m(j). Let t be q(-20). Factor 0*h + t + 1/4*h**2 - 1/2*h**3 + 1/4*h**4.
h**2*(h - 1)**2/4
Let s(w) = -w**3 - 9*w**2 - 10*w - 14. Let j be s(-8). Factor 0*o**5 + 7*o**3 - 2*o**4 + j*o**2 - 20*o**3 + 11*o**3 + 2*o**5.
2*o**2*(o - 1)**2*(o + 1)
Factor -2/23*p**2 + 340/23 - 14/23*p.
-2*(p - 10)*(p + 17)/23
Suppose 29 = 5*b + 4*p, -6*p - 10 = -4*b + 4. Let d(r) be the third derivative of -11/6*r**4 + 0*r - 1/30*r**6 + 33*r**2 - 2/5*r**b - 4*r**3 + 0. Factor d(t).
-4*(t + 1)*(t + 2)*(t + 3)
Factor 40/3*v + 43 - 1/3*v**2.
-(v - 43)*(v + 3)/3
Let y = 690/73 - -135787/146. Let h = -939 + y. Solve h*c**3 + 1/2 + 3/2*c + 3/2*c**2 = 0 for c.
-1
Suppose 8 = d + 4*b, -2*b + 10 = -4*d + 24. Factor -21*u**5 - 4*u**3 - 3*u**4 - 4*u**2 + 7*u**d + 25*u**5.
4*u**2*(u - 1)*(u + 1)**2
Let g(u) be the third derivative of u**8/10080 - u**7/315 + u**6/30 - 33*u**5/20 + 22*u**2 - 3. Let s(w) be the third derivative of g(w). Factor s(l).
2*(l - 6)*(l - 2)
Let v(f) be the second derivative of -1/8*f**2 + 9 - 1/48*f**3 + 1/96*f**4 - f. Suppose v(j) = 0. What is j?
-1, 2
Let x = 6312 - 6305. Let j(o) be the third derivative of 0*o - 29*o**2 + 0 - 1/12*o**5 + 0*o**3 - 5/336*o**8 + 0*o**4 + 1/24*o**6 + 1/42*o**x. Solve j(m) = 0.
-1, 0, 1
Let t(h) = 2*h**2 - 26*h + 26. Let u be t(12). Factor -21*p**2 - 10*p**2 - 2*p + 27*p**u.
-2*p*(2*p + 1)
Let y(m) = m**3 - 31*m**2 - 58*m + 832. Let h be y(32). Let w(l) be the third derivative of h*l**3 - 5*l**2 - 19/450*l**5 + 0*l + 0 + 1/90*l**4. Factor w(c).
-2*c*(19*c - 2)/15
Suppose 0 = 46*u + 110 - 754. Let z be -6 + ((-4)/u - 406/(-49)). Solve -1/3*s + s**z + 0 = 0 for s.
0, 1/3
Let c(p) = -p**3 - 3*p**2 + p + 7. Let a be (2 - 10/2) + 0. Let w be c(a). Suppose 264*x**4 - w*x**2 - 219*x**4 + 35*x**3 - 6*x**2 = 0. What is x?
-1, 0, 2/9
Let b = 1410 - 1405. Let k(i) be the third derivative of 0*i + 12/7*i**3 + 0 + 1/10*i**b + 4/7*i**4 + 33*i**2 + 1/140*i**6. Suppose k(d) = 0. Calculate d.
-3, -2
Let y(n) be the first derivative of 3/2*n**3 + 1/30*n**5 + 11/24*n**4 + 25/12*n**2 + 37 + 4/3*n. Let y(h) = 0. Calculate h.
-8, -1
Let d(k) = -k**2 + 18*k + 284. Let a be d(-30). Let t = a + 1161. Solve -3 + 1/3*r**3 + t*r - 7/3*r**2 = 0.
1, 3
Let o(d) be the second derivative of d**4/66 + 94*d**3/33 - 2559*d. Solve o(m) = 0.
-94, 0
Let n(t) be the first derivative of -6*t**5 + 79*t**4/2 + 386*t**3/3 - 71*t**2 - 84*t + 2542. Find u, given that n(u) = 0.
-2, -1/3, 3/5, 7
Let x = 61 + -59. Solve -18*m + 12*m**3 + 12*m**2 + 0*m**x - 14*m**3 = 0.
0, 3
Factor -20/3 - 6*c**2 - 46/3*c.
-2*(c + 2)*(9*c + 5)/3
Let z(o) be the third derivative of -o**6/40 + 211*o**5/20 - 11235*o**4/8 + 11025*o**3/2 + 2*o**2 + 299*o. Let z(x) = 0. What is x?
1, 105
Let k(r) be the third derivative of r**7/168 - r**6/72 - r**5/12 - 25*r**3/3 - 2*r**2 + 17*r. Let j(f) be the first derivative of k(f). Solve j(n) = 0.
-1, 0, 2
Let k(q) be the second derivative of 198025*q**4/8 - 445*q**3 + 3*q**2 - 24*q + 10. Suppose k(b) = 0. What is b?
2/445
Determine j, given that -240*j - 765*j**3 + 15*j**4 - 764*j**3 + 1097*j**3 + 738*j**2 - 81 = 0.
-1/5, 1, 27
Solve -114*o**5 - 391*o + 2420 - 49*o + 95*o**4 - 275*o**3 - 2442*o**2 + 109*o**5 + 647*o**2 = 0.
-2, 1, 11
Determine v so that -2960/9 + 244/3*v + 2/9*v**2 = 0.
-370, 4
Determine x, given that -56/5*x**4 - 6/5*x**3 + 2/5*x**5 + 164/5*x**2 + 0 + 112/5*x = 0.
-1, 0, 2, 28
Let g = 3141/6242 + -10/3121. Factor -1/2*a**2 + 0 - g*a.
-a*(a + 1)/2
Suppose -5*m - 1100 = -2*h, -1632 = 3*h - 6*h + 3*m. Let l = h + -1079/2. Factor 3/2*o**2 - l*o**4 - 2 + 2*o - o**3.
-(o - 1)**2*(o + 2)**2/2
Let q(u) be the third derivative of 0*u + 4*u**3 - 1 + 11/6*u**4 - 26*u**2 - 1/30*u**6 + 4/15*u**5. Factor q(n).
-4*(n - 6)*(n + 1)**2
Let c(f) = -381*f**2 - 3296*f - 11. Let d(v) = 69*v**2 + 659*v + 2. Let w(y) = -2*c(y) - 11*d(y). Factor w(o).
3*o*(o - 219)
Let g(r) be the second derivative of r**7/21 + 146*r**6/75 + 159*r**5/50 - 127*r**4/15 - 56*r**3/15 + r + 491. Find m, given that g(m) = 0.
-28, -2, -1/5, 0, 1
Let m be -7 + ((-3)/(-6) - (-46)/4). Factor -2/3*r**2 + 1/3*r**4 + 1/3 + 2/3*r**3 - 1/3*r**m - 1/3*r.
-(r - 1)**3*(r + 1)**2/3
Let m(v) be the third derivative of 5*v**7/42 - 11*v**6/3 - 251*v**5/12 + 535*v**4/12 + 100*v**3 - 25*v**2 + 5. Determine y, given that m(y) = 0.
-3, -2/5, 1, 20
Let m(w) = -w**2 - 5 + 4 + 0 - 2 + 5*w. Let g be m(2). Find u such that 32*u**2 + 41*u - 4*u**3 + 0*u**g + 40 + 35*u = 0.
-1, 10
Let n(v) be the second derivative of -v**7/168 - v**6/24 - 3*v**5/40 - 200*v. Find g such that n(g) = 0.
-3, -2, 0
Let o(l) = -61*l**2 + 48*l + 105. Let r(c) = 73*c**2 - 47*c - 104. Let w(y) = -6*o(y) - 5*r(y). Factor w(q).
(q - 55)*(q + 2)
Let d = 14977 + -30501/2. Let l = d - -281. Factor -9/2*s**2 - l*s + 3/2*s**3 + 3/2*s**4 - 3.
3*(s - 2)*(s + 1)**3/2
Let l(u) be the third derivative of u**7/420 + u**6/24 + 29*u**5/120 + 5*u**4/12 - u**2 - 296*u. Let l(n) = 0. What is n?
-5, -4, -1, 0
Let t(y) = -11*y**3 - 230*y**2 - 488*y. Let u(n) = -20*n**3 - 464*n**2 - 974*n. Let b(k) = 7*t(k) - 4*u(k). Factor b(s).
3*s*(s + 2)*(s + 80)
Let s(b) be the first derivative of 3*b**4/16 + 97*b**3/2 + 28227*b**2/8 - 2345. Factor s(y).
3*y*(y + 97)**2/4
Let x(k) be the second derivative of 4*k**7/63 + 49*k**6/45 + 107*k**5/60 - 11*k**4/12 - 2*k + 117. Determine u, given that x(u) = 0.
-11, -3/2, 0, 1/4
Let c = 110 + 36. Let s = c - 127. Determine d, given that 2*d**3 - 5*d**3 - d**3 + s*d**3 - 65*d**2 + 25 - 55*d = 0.
-1, 1/3, 5
Let b(h) = 2*h**4 - 2*h**2 + 1. Let w(p) = 6*p**4 + 6*p**3 + 2. Let t(o) = 2*b(o) - w(o). Determine s so that t(s) = 0.
-2, -1, 0
Factor 1/6*z**2 - 371/6*z - 373/3.
(z - 373)*(z + 2)/6
Solve 2/9*h**3 - 4/9*h + 1/9*h**4 + 4/9 - 1/3*h**2 = 0 for h.
-2, 1
Suppose 116*w = -26*w + 852. Factor w*t + 9/4*t**4 - 1 - 27/4*t**2 - 1/2*t**3.
(t - 1)**2*(t + 2)*(9*t - 2)/4
Suppose 3*i + 9 = -3*u, 10*i - 3*u = 14*i + 6. What is y in -2/3*y**i + 34/9*y**2 - 44/9*y + 16/9 = 0?
2/3, 1, 4
Let -146*j**2 + 25*j**2 - j**4 + 192785*j**3 - 192763*j**3 = 0. What is j?
0, 11
Let l(b) be the second derivative of b**5/10 + 27*b**4/2 + 386*b**3/3 + 456*b**2 - 927*b. Let l(g) = 0. Calculate g.
-76, -3, -2
Let z be (450/(-108) - -4)*(-4 - (-4)/1). Find x, given that -27/7*x - 36/7*x**3 - 10/7*x**4 + z - 1/7*x**5 - 54/7*x**2 = 0.
-3, -1, 0
Let t(n) be the second derivative of n**5/120 - 19*n**4/72 - 170*n**3/9 - 325*n**2 + 6906*n. Factor t(x).
(x - 39)*(x + 10)**2/6
What is f in -28/3*f**2 + 28/3 - 1/3*f + 1/3*f**3 = 0?
-1, 1, 28
Factor 97*s**3 + 76*s**2 + 47*s**2 - 27*s**2 + 36*s**4 + 4*s**5 + 26*s**3 - 19*s**3.
4*s**2*(s + 2)*(s + 3)*(s + 4)
Suppose 57*y = 51*y. Suppose 2*s = -y*s + 5*s. Solve -1/2*a**3 + s + 0*a**2 + 1/2*a = 0.
-1, 0, 1
Let z(b) = 9*b - 1. Let k be z(2). Suppose -5*m = -5*u + 5, m - 5*u + k = -m. Factor -6*g**m - 13*g**2 + 2*g**3 + 5*g**4 + 20*g**2 + 0*g**4 + 4*g.
-g*(g - 4)*(g + 1)**2
Let d(w) = 96*w - 11328. Let k be d(118). Factor k + a**4 - 3/2*a**2 + 0*a + 1/4*a**3 + 1/4*a**5.
a**2*(a