1/9*g**2 - 1/9*g**3 + 0 + 0*g + 1/9*g**4 + 1/9*g**5 = 0.
-1, 0, 1
Let k = -5/3201 + 713/1067. Factor 2/3*o - k*o**2 + 8.
-2*(o - 4)*(o + 3)/3
What is a in -1/6*a**2 - 164/3*a - 13448/3 = 0?
-164
Let w(q) = -6*q**2 + 1. Let s(j) = 34*j**2 + 272*j + 1698. Let r(o) = -s(o) - 6*w(o). Solve r(y) = 0.
-6, 142
Let k = 6641 + -6641. Let s(w) be the second derivative of 1/6*w**3 + 0 - 1/24*w**4 + 42*w + k*w**2. Find m, given that s(m) = 0.
0, 2
Let z be (-25896)/(-14) + 18/63. Let k be z/(-1480)*(1 + (-23)/5). Factor k*h - 27/2 + 3/2*h**3 + 15/2*h**2.
3*(h - 1)*(h + 3)**2/2
Let r(l) be the third derivative of l**6/660 + 91*l**5/330 - 785*l**4/132 + 21*l**3 - 3126*l**2. Solve r(m) = 0.
-99, 1, 7
Suppose -42*o + 20507 + 48037 = 0. Let r = 1635 - o. Determine v, given that 3/2*v**2 - 4*v - 1/6*v**r + 10/3 = 0.
2, 5
Let 192*b - 174*b**2 - 5245141 - 56*b**3 + 5245141 + 4*b**4 + 34*b**2 = 0. Calculate b.
-3, 0, 1, 16
Factor 1230*n + 81891 + 1458*n - 87331 - 2*n**3 - 324*n**2.
-2*(n - 4)**2*(n + 170)
Determine f, given that 0 - 5/3*f**5 + 15*f**4 + 0*f + 50/3*f**3 + 0*f**2 = 0.
-1, 0, 10
Let 155*k + 142 + 143*k + 2835 + 3*k**2 + 311*k - 1771 = 0. What is k?
-201, -2
Let c be 4/2 + -5 + -3. Let p(t) = t**2 + 2*t - 5. Let j be ((-4)/(-16))/(2/(-8)). Let u(l) = 1. Let d(z) = c*u(z) + j*p(z). Determine x, given that d(x) = 0.
-1
Suppose 0 = 5*i + 4*l - 10, 0 = 2*i + 2*i - 5*l - 8. Let m(f) be the second derivative of 0 - 20/3*f**3 - 40*f**i - 5/12*f**4 - 19*f. Factor m(o).
-5*(o + 4)**2
Let y(r) = -9*r**3 + 287*r**2 - 4864*r - 17358. Let t(w) = 4*w**3 - 144*w**2 + 2432*w + 8676. Let z(j) = 10*t(j) + 4*y(j). Factor z(a).
4*(a - 38)**2*(a + 3)
Let m(z) be the first derivative of -2*z**7/21 - 2*z**6/15 + 2*z**5 - 8*z**4/3 - 35*z + 209. Let o(q) be the first derivative of m(q). Let o(x) = 0. What is x?
-4, 0, 1, 2
Let z = 9708 - 9705. Let k(j) be the first derivative of z - 5/18*j**3 + 5*j + 25/12*j**2. Factor k(o).
-5*(o - 6)*(o + 1)/6
Suppose 0 = -35*x - 13 + 129 - 11. Suppose -20/7*v - 24/7 + 4*v**2 + 16/7*v**x = 0. What is v?
-2, -3/4, 1
Suppose 0 = 4*z + 6 - 18. Suppose -5*s + 4*l + 6 = 0, -2*l + 4 = -323*s + 324*s. Factor 0*p + 3/4*p**s + 0 - 3/4*p**z.
-3*p**2*(p - 1)/4
Factor 0 + 4/7*z**3 + 1248/7*z**2 + 3708/7*z.
4*z*(z + 3)*(z + 309)/7
Let m(x) be the second derivative of -3 + 16/3*x**3 - 1/6*x**4 + 17*x**2 + 4*x. Factor m(k).
-2*(k - 17)*(k + 1)
Let q(s) be the first derivative of -s**4/9 + 8*s**2/3 + 258*s + 22. Let u(o) be the first derivative of q(o). Factor u(x).
-4*(x - 2)*(x + 2)/3
Suppose 0 = 323*w - 746 - 869. Factor 0*i + 0 + 2/13*i**2 - 2/13*i**3 + 2/13*i**w - 2/13*i**4.
2*i**2*(i - 1)**2*(i + 1)/13
Let 3077/5*z**2 - 4104/5*z**4 + 4097/5*z**3 - 205 - 2049/5*z + 4/5*z**5 = 0. What is z?
-1/2, 1, 1025
Let p be 1/3 - (5357/429 + -15). Let j(m) be the first derivative of -p*m**2 + 2 - 12/13*m - 30/13*m**3. Factor j(o).
-2*(5*o + 3)*(9*o + 2)/13
Factor 25123 - 414*d - 67972 + 159*d**2 - 160*d**2.
-(d + 207)**2
Suppose -3*t - 20*t - 276 = 0. Let h be 4 - (t + 8 + 8). Factor 112/3*n**3 - 6*n**4 + h - 62*n**2 + 12*n.
-2*n*(n - 3)**2*(9*n - 2)/3
Factor 0 + 3/7*u**4 - 4107/7*u - 225/7*u**3 + 4329/7*u**2.
3*u*(u - 37)**2*(u - 1)/7
Let b(q) be the third derivative of -q**6/1080 - q**5/90 - 47*q**3/6 - 86*q**2. Let n(w) be the first derivative of b(w). Find p, given that n(p) = 0.
-4, 0
Suppose -94*z + 99*z - 225 = 0. Suppose 0 = -z*y - 281 + 371. Let 0 - 4/17*q - 2/17*q**3 + 6/17*q**y = 0. What is q?
0, 1, 2
Let u be (-4 + 76/10)/((-6)/(-285)). Factor 0*a + 4*a - 172*a**3 + u*a**3.
-a*(a - 2)*(a + 2)
Let l = 11197 - 11193. Let f(n) be the first derivative of 0*n**2 + 0*n**3 + 0*n**l + 1/35*n**5 + 1/42*n**6 + 19 + 0*n. Factor f(g).
g**4*(g + 1)/7
Let l be ((-1 + 5)*(-91)/(-224))/(137/1370). Factor l*b**3 + 40*b**2 + 125/4*b + 15/2.
5*(b + 1)**2*(13*b + 6)/4
Let a be -4 + 0 - (592 + -716)/(0 - -22). Factor 0*j + 6/11*j**3 + 0 - a*j**2.
6*j**2*(j - 3)/11
Let p = -63107 - -63111. Suppose 0 + 0*z**2 - 1/2*z**p + 1/2*z**3 + 0*z = 0. Calculate z.
0, 1
Let b be (7 - 26195/3744)/(1/(-2)). Let i = 35/144 - b. Let -d - 3/4 - i*d**2 = 0. Calculate d.
-3, -1
Let x(j) be the second derivative of -43/12*j**4 + 1/10*j**6 - 28/3*j**3 + 6 - 2*j - 1/5*j**5 - 10*j**2. What is b in x(b) = 0?
-2, -1, -2/3, 5
Let j(b) be the second derivative of -b**6/285 - 37*b**5/190 - 33*b**4/19 - 20*b**3/3 - 248*b**2/19 - 32*b + 90. Factor j(q).
-2*(q + 2)**3*(q + 31)/19
Let t(o) = 65*o + 9*o - 56*o**2 + 151*o**2 - 95 + 6*o**3 - 9*o - o**3. Let w(m) = m**3 + 16*m**2 + 11*m - 16. Let p(g) = 6*t(g) - 35*w(g). Factor p(b).
-5*(b - 2)*(b - 1)*(b + 1)
Let f = -366 + 815. Find x, given that -f - 3*x + 3*x**3 + 437 + 14*x**2 - 2*x**2 = 0.
-4, -1, 1
Let b(s) be the third derivative of 5*s**8/336 + 5*s**7/42 - s**6/6 - 11*s**5/3 - 10*s**4 - 6030*s**2. Factor b(i).
5*i*(i - 3)*(i + 2)**2*(i + 4)
Solve 809*b**4 + 0*b**3 + 16*b - 827*b**4 - 7*b**3 + 3*b**3 + 72*b**2 = 0.
-2, -2/9, 0, 2
Suppose 263 = -d + 265. Factor -40*w**d - 12*w + 4*w + 3*w.
-5*w*(8*w + 1)
Solve -24*y**3 + 73734 - 1037*y**2 - 51051*y + 36*y**3 + 590*y**2 - 317939 - 13*y**3 = 0 for y.
-221, -5
Suppose 42 = 4*n + 10*n. Suppose 200 + 595*g**2 + 28*g**4 + 473*g**2 + 980*g + 175*g**n + 141*g**3 = 0. What is g?
-5, -1, -2/7
Let s(n) = -n**3 - 22*n**2 + 1722*n + 196. Let z be s(32). Let 5/3*q - 4/3 - 5/3*q**3 + 1/3*q**z + q**2 = 0. Calculate q.
-1, 1, 4
Let d(l) be the second derivative of l**4/42 - 652*l**3/21 - 2*l + 264. Factor d(p).
2*p*(p - 652)/7
Suppose -2*n = -4*n + 10. Let x be (-1350)/3960 + (-192)/(-176). Factor -1/2 + 1/4*w - w**3 + 3/2*w**2 - w**4 + x*w**n.
(w - 1)**3*(w + 1)*(3*w + 2)/4
Let h(l) be the first derivative of -12/5*l**2 + 72/5*l + 2/15*l**3 + 19. Factor h(r).
2*(r - 6)**2/5
Let g(y) be the second derivative of 27*y**6/2 + 198*y**5 + 8825*y**4/12 - 1055*y**3/3 + 60*y**2 - 3761*y. Factor g(d).
5*(d + 4)*(d + 6)*(9*d - 1)**2
What is f in f**2 - 237191 + 237058 + 65*f + 67*f = 0?
-133, 1
Let f(m) be the second derivative of 4 + 80/27*m**3 + 2/189*m**7 - 32/9*m**2 - 5*m - 25/27*m**4 - 1/9*m**5 + 2/27*m**6. Solve f(v) = 0.
-4, 1
Find l such that 137/5 + 1/5*l**2 + 138/5*l = 0.
-137, -1
Let n be ((-22)/(-2))/(14 - 5204/372). Let p = 1023 - n. Factor p*h**3 - 1/5*h**5 + 1/5*h + 0 + 2/5*h**2 - 2/5*h**4.
-h*(h - 1)*(h + 1)**3/5
Determine q so that 2/9*q**2 - 32/9 + 0*q = 0.
-4, 4
Factor -68*q**2 + 130*q - 64*q**2 + 33 - 2 + 133*q**2 + 98.
(q + 1)*(q + 129)
Let d(x) = 9*x - 141. Let y be d(17). What is w in -11*w**2 + 165 - 40*w**3 - 161 + 47*w**2 + 12*w**2 - 24*w + y*w**4 = 0?
1/3, 1
Suppose 0 = 30*k - 7400 + 6050. What is r in 2025/2 + k*r + 1/2*r**2 = 0?
-45
Suppose -3*i + 4*u = 317, 2*i - 6*i - 2*u = 386. Let j = -97 - i. Factor 0*d**4 + 7*d**4 - 8 + 6*d**3 - 8*d**4 - 10*d - 2*d**3 + 3*d**j.
-(d - 4)*(d - 2)*(d + 1)**2
Let k = 1523/2 + -27413/36. Let l(s) be the second derivative of 24*s**2 + 4/3*s**3 + s + 0 + k*s**4. Solve l(a) = 0.
-12
Let t(d) be the third derivative of 13/200*d**6 + 29/300*d**5 + 0 + 1/20*d**4 + 59*d + 19/1050*d**7 + d**2 + 0*d**3 + 1/560*d**8. Find a such that t(a) = 0.
-3, -2, -1, -1/3, 0
Suppose -9*z = -7*z - 80. Factor -z*w - 5*w**2 - 46*w + 81*w + 10.
-5*(w - 1)*(w + 2)
Let g(l) = -384*l - 5760. Let w be g(-15). Let 0*k + 0*k**2 - 1/6*k**4 + w - k**3 = 0. What is k?
-6, 0
Let o be 53/((-2597)/(-42)) - 11/21. Let f(t) be the first derivative of 1/9*t**3 + o*t**2 + 3 + 1/3*t. Find h, given that f(h) = 0.
-1
Let q be (-26)/39 + (-4)/(-6). Suppose -7*r + 6*r = q. Find c such that -1/4*c**4 + r*c**2 - 1/4*c**5 + 0 + 0*c**3 + 0*c = 0.
-1, 0
What is s in s**3 - 1909 - 2*s**2 + 2065 + 7*s**2 - 92*s = 0?
-13, 2, 6
Let m be ((-10)/(-72))/(460/736). Factor m*q**3 + 32/9*q + 8/3 + 14/9*q**2.
2*(q + 2)**2*(q + 3)/9
Let t(s) = 2*s**2 + 354*s + 376. Let w(l) = -3*l**2 - 361*l - 374. Let x(z) = 2*t(z) + 3*w(z). Factor x(f).
-5*(f + 1)*(f + 74)
Factor 13/2*v + 18 + 1/2*v**2.
(v + 4)*(v + 9)/2
Let r = -62965 + 62967. Factor 2/5*s**5 + 152/5*s**3 - 80*s**r + 512/5*s - 28/5*s**4 - 256/5.
2*(s - 4)**2*(s - 2)**3/5
Factor -1/4*u**3 - 1085/4*u + 29*u**2 + 1325/2.
-(u - 106)*(u - 5)**2/4
Let x(c) be the first derivative of -2*c**6/39 + 2*c**5/5 + 4*c**4/13 - 398*c**3/39 + 384*c**2/13 - 288*c/13 - 568. Suppose x(y) =