2/61, 1/3
Let r(q) = q**3 - 395*q**2 - 375*q + 3. Let s(x) = 388*x**2 + 374*x - 2. Let a(g) = 2*r(g) + 3*s(g). Factor a(t).
2*t*(t + 1)*(t + 186)
Let a(k) = -11*k**3 + 942*k**2 - 3581*k + 3557. Let n(j) = 5*j**3 - 468*j**2 + 1790*j - 1778. Let f(m) = 2*a(m) + 5*n(m). Factor f(i).
3*(i - 148)*(i - 2)**2
Let r(b) be the second derivative of -16*b**6/135 - 20*b**5/9 - 203*b**4/18 - 268*b**3/27 - 32*b**2/9 + 1003*b. Let r(t) = 0. Calculate t.
-8, -4, -1/4
Let i = -55988337 + 355190008965/6344. Let g = 1/488 - i. Let -g*k + 2/13*k**2 - 12/13 = 0. Calculate k.
-2, 3
Let d(r) be the second derivative of r**4/66 - 1247*r**3/33 - 2498*r**2/11 - 102*r - 16. Factor d(b).
2*(b - 1249)*(b + 2)/11
Let n be (-29190)/(-5560) - 6*(-4)/(-6). Factor -1/4*h**2 - 1 + n*h.
-(h - 4)*(h - 1)/4
Let 10750*y**2 + 2760*y - 5364*y**2 + 5540 - 5391*y**2 = 0. Calculate y.
-2, 554
Let w be (15/(-13) + 1)*(-18876)/18876. Suppose 0*m**2 + 8/13*m**4 - w*m**5 + 0*m**3 + 0 + 0*m = 0. What is m?
0, 4
Let k = -32 - -608. Suppose -23*i = -11*i - k. Factor -i*d**2 + 3/7*d**5 + 0 - 39/7*d**4 + 192/7*d + 180/7*d**3.
3*d*(d - 4)**3*(d - 1)/7
Solve 441*m - 2511 + 1762*m**2 + 1700*m**2 - 3465*m**2 + 405*m = 0 for m.
3, 279
Let n = -3165 - -3168. Let j(t) be the second derivative of 0 + 0*t**2 - 2/45*t**n + 8*t + 1/50*t**5 + 1/18*t**4. Factor j(b).
2*b*(b + 2)*(3*b - 1)/15
Find x such that 70 + 17/4*x**2 - 1/4*x**3 + 149/2*x = 0.
-10, -1, 28
Factor 1/5*h**4 - 327/5*h**2 - 64 + 2/5*h**3 + 644/5*h.
(h - 16)*(h - 1)**2*(h + 20)/5
Factor 4308*i - 3*i**4 + 240*i**3 - 3*i**3 - 1454*i**2 - 3343*i**2 + 255*i.
-3*i*(i - 39)**2*(i - 1)
Determine l, given that -4*l**2 - l**2 - 111 - 224*l - 23 - 91 + 6*l**2 = 0.
-1, 225
Let v(g) = 3*g**3 - 425*g**2 + 303*g**2 - 7*g + 244*g**2. Let r(m) = -2*m**3 - 82*m**2 + 5*m. Let k(u) = -7*r(u) - 5*v(u). Solve k(c) = 0 for c.
-36, 0
Let x(b) be the third derivative of -b**7/42 + 5*b**6/12 + 17*b**5/12 - 55*b**4/4 - 582*b**2. Factor x(y).
-5*y*(y - 11)*(y - 2)*(y + 3)
Factor -29*h**3 + 0 - 30*h**2 + 1/3*h**4 + 176/3*h.
h*(h - 88)*(h - 1)*(h + 2)/3
Let o(r) = r + 22. Let q be o(1). Suppose 0 = k + 3*k + 5*v - q, 1 = -4*k + 3*v. Suppose 28/3*s**4 + 0*s + 0*s**k + 0 - 16/3*s**5 + 8/3*s**3 = 0. What is s?
-1/4, 0, 2
Suppose 7*f = 13*f - 10686. Let l = 1784 - f. Determine i, given that -16/19*i - 228*i**l + 0 - 24*i**2 - 722*i**4 = 0.
-2/19, 0
Find s such that -240*s + 225 + 959/4*s**3 - 61/4*s**4 + 1/4*s**5 - 839/4*s**2 = 0.
-1, 1, 30
Let o be (2*-4 + 11993/1474)/(3/14). Let v(f) be the second derivative of -4/11*f**4 - 1/11*f**5 - 2/3*f**3 - 16*f - o*f**2 - 1/165*f**6 + 0. Solve v(b) = 0.
-7, -1
Let p(g) be the first derivative of g**4/28 + 10*g**3/21 + 3*g**2/14 - 18*g + 4942. Factor p(l).
(l - 3)*(l + 6)*(l + 7)/7
Let a(y) be the third derivative of -y**7/8820 + y**6/360 + 3*y**5/70 - 23*y**4/6 + 39*y**2. Let j(s) be the second derivative of a(s). Solve j(w) = 0.
-2, 9
Let p be 1/(-1*2/(-4 + 2)). Suppose a**2 + a - 6 + 4*a - 1 + p = 0. What is a?
-6, 1
Let d be (2/((-6)/(-2619)))/(1 + 0). Factor d*h**2 + 12*h - 4*h**3 - 8 - 873*h**2.
-4*(h - 1)**2*(h + 2)
Suppose -47 = 16*a - 207. Let d be a/95 + (-14)/133. Determine s so that 1/4*s**3 + 3/4*s**2 + d + 1/2*s = 0.
-2, -1, 0
Let o = -228 + 231. Suppose -o + 57*l**2 + 4367*l**4 - 4370*l**4 + 39 + 6*l**3 + 84*l = 0. What is l?
-2, -1, 6
Let i(n) be the third derivative of -n**8/168 - n**7/28 + n**6/15 + 23*n**5/40 - 3*n**4/8 - 1392*n**2. Find a such that i(a) = 0.
-3, 0, 1/4, 2
Let d(n) be the second derivative of n**6/120 + n**5/8 - 7*n**4/4 + 26*n**3/3 - 7*n - 3. Let l(z) be the second derivative of d(z). Factor l(y).
3*(y - 2)*(y + 7)
Suppose -195*a**4 + 28*a**3 + 200*a**4 + 27*a**3 = 0. Calculate a.
-11, 0
Let q = 310 + -541. Let v be 3/7 - (-99)/q. Factor 0 - 2/9*m**3 - 4/9*m**2 + v*m.
-2*m**2*(m + 2)/9
Let k(z) be the first derivative of 2*z**5/45 - 5*z**4/18 + 2*z**3/3 - 7*z**2/9 + 4*z/9 - 88. Factor k(a).
2*(a - 2)*(a - 1)**3/9
Let k(l) be the second derivative of -3*l**5/40 + 13*l**4/4 - 42*l**3 - 447*l. Determine b so that k(b) = 0.
0, 12, 14
Let -19880486829/2 - 1/2*j**3 - 22016043/2*j - 8127/2*j**2 = 0. What is j?
-2709
Let g(o) be the second derivative of -o**4/6 + 25*o**3/3 - 46*o**2 + 356*o. Suppose g(n) = 0. Calculate n.
2, 23
Let b(n) be the second derivative of 8/9*n**2 - 1/90*n**5 - 7/27*n**4 - 2 + 25*n + 4/27*n**3 + 1/45*n**6. Find r such that b(r) = 0.
-2, -2/3, 1, 2
Let a(g) = -g**3 + 10*g**2 - 5*g + 52. Suppose 0 = 3*q - 2*q - 10. Let d be a(q). Factor -2/5*t**d + 2/5 + 0*t.
-2*(t - 1)*(t + 1)/5
Let p(z) be the first derivative of z**6/1080 + z**5/360 + 58*z**3/3 - 79. Let m(o) be the third derivative of p(o). Determine c, given that m(c) = 0.
-1, 0
Let o(z) be the second derivative of z**6/120 - 11*z**5/16 + 9*z**4/8 + 96*z - 2. Factor o(c).
c**2*(c - 54)*(c - 1)/4
Suppose -55/7*y**2 - 2/7 + 57/7*y = 0. What is y?
2/55, 1
Let c be (3/2)/((-18)/(-144)). Factor -10*j**3 + 38*j**2 - 262 - c*j**2 + 52*j + 278.
-2*(j - 4)*(j + 1)*(5*j + 2)
Let t(v) = 8*v**2 + 136*v + 1922. Let l(s) be the first derivative of -s**3/3 - s**2 + 78. Let j(m) = -6*l(m) - t(m). Factor j(i).
-2*(i + 31)**2
Let u(m) = m**4 + 5*m**3 + 19*m**2 + 11*m + 8. Let l(k) = -k**3 + k**2 + k + 2. Suppose -h = 31 - 27. Let a(y) = h*l(y) + u(y). Let a(j) = 0. What is j?
-7, -1, 0
Let q = 176 + -174. Determine r, given that -44*r + 6*r**q + 8 + 41*r**3 + 18*r**2 + 75*r**3 - 96*r**5 + 484*r**4 - 540*r**4 = 0.
-1, 1/4, 1/2, 2/3
Let f be (-2 + 35/(-25) - -1)/(42/(-70)). Let b = -4 - -7. Factor 16/5*r**5 + 1/5*r + 2*r**2 + 0 + 33/5*r**b + 8*r**f.
r*(r + 1)**2*(4*r + 1)**2/5
Let a be ((-24)/272)/(2/29000). Let q = a + 1280. Solve q*o**5 + 12/17*o**2 + 14/17*o**3 - 36/17*o**4 + 0*o + 0 = 0.
-2/5, 0, 1, 3
Let s(m) be the second derivative of m**7/1260 + 23*m**6/180 + 529*m**5/60 - 47*m**4/6 - 30*m. Let j(u) be the third derivative of s(u). Factor j(a).
2*(a + 23)**2
Suppose -4*v = -2*u - 50, 5*v = 5*u + 153 - 98. Find o such that -3 + 11/4*o**2 + 1/4*o**4 - 7/4*o**u + 7/4*o = 0.
-1, 1, 3, 4
Let y(i) = -i**3 - 8*i**2 + 20*i + 4. Suppose 3*b - 3*n + 36 = 0, -3*b + 3*n - n = 34. Let h be y(b). Factor 7*f + h*f + 5*f**2 + 4*f.
5*f*(f + 3)
Determine f, given that 121*f**2 + 57598*f - 28802*f + 0*f**3 - 28797*f - 121 + f**3 = 0.
-121, -1, 1
Let n(f) be the third derivative of 0 + 1/15*f**5 + 65*f**2 + 2/3*f**4 + 8/3*f**3 + 0*f. Factor n(h).
4*(h + 2)**2
Suppose -7*k - 174 = -8*k. Solve 7*f**4 + k*f**2 - 2*f**4 - 2*f**3 - 179*f**2 + 2*f = 0 for f.
-1, 0, 2/5, 1
Let b = 1123 - 283. Let v be 1240/b + 1/(-3). Factor 5/7*u**3 - 4/7*u - 6/7*u**2 + v - 1/7*u**4.
-(u - 2)**3*(u + 1)/7
Let h(v) = -5808*v**3 + 14920*v**2 - 12546*v + 3444. Let s(f) = -3873*f**3 + 9946*f**2 - 8364*f + 2297. Let c(n) = -5*h(n) + 8*s(n). Factor c(a).
-2*(3*a - 2)*(18*a - 17)**2
Let s(b) be the third derivative of b**5/120 + 109*b**4/24 - 1022*b**2 - 2*b. Factor s(u).
u*(u + 218)/2
Let y(z) be the second derivative of z**6/10 - 18*z**5 + 3599*z**4/4 + 60*z**3 - 5400*z**2 - 2132*z. Solve y(s) = 0 for s.
-1, 1, 60
Suppose -2 = s, -2 = -4*v - 8*s + 3*s. Let a be ((-5)/((-50)/v))/(87/928). Solve -12/5*w - 4/5*w**2 + a = 0.
-4, 1
Let u(w) be the third derivative of w**6/30 - 53*w**5/15 - w**4/6 + 106*w**3/3 - 2*w**2 - 2*w - 1664. Factor u(c).
4*(c - 53)*(c - 1)*(c + 1)
Let c(f) be the first derivative of 2*f**5/35 - 8*f**4/7 - 2*f**3/21 + 16*f**2/7 - 722. Determine i, given that c(i) = 0.
-1, 0, 1, 16
Let d(f) be the second derivative of 0*f**2 + 10/9*f**4 + 2*f**3 + 4*f + 4 + 1/15*f**5. Solve d(t) = 0 for t.
-9, -1, 0
Let m(y) = 14*y**4 - 185*y**3 - 168*y**2 + 185*y + 181. Let f(w) = -6*w**4 + 92*w**3 + 84*w**2 - 92*w - 90. Let g(b) = 9*f(b) + 4*m(b). Factor g(z).
2*(z - 1)*(z + 1)**2*(z + 43)
Suppose -d = -41*d - 86*d. Let c(n) be the third derivative of 1/240*n**5 - 5*n**2 + 0*n + 1/480*n**6 + 0 + d*n**3 + 0*n**4. Find g such that c(g) = 0.
-1, 0
Suppose 0 = -s + 4*f + 85, 17*f - 20 = 22*f. Find d, given that -9 + 12*d**2 - 34*d + s*d - 32*d = 0.
-1, 3/4
Let l be -40*-2*2/50. Let y = -513333/5 - -102667. Factor 32/5 - l*u + y*u**2.
2*(u - 4)**2/5
Let h(y) be the first derivative of 2*y**5/25 - 21*y**4/10 - 20*y**3 - 316*y**2/5 - 432*y/5 + 3224. Suppose h(k) = 0. What is k?
-2, 27
