 - n + 45 = 0. Solve -5*y - t*y + 2*y**2 - 11*y + 15*y = 0.
0, 3
Let -9126/5*g - 2/5*g**3 + 118638/5 + 234/5*g**2 = 0. What is g?
39
Factor -369 + 918 + 877 + 1324 + 3*n**2 + 822*n - 311.
3*(n + 3)*(n + 271)
Let v = -22524 - -112623/5. Suppose v*o**2 + 0 + 63/5*o = 0. What is o?
-21, 0
Suppose 41*d + 9 = 45*d + 3*n, -10*n + 30 = -4*d. Factor 4/7*s**5 - 52/7*s**2 + 16/7*s - 4*s**4 + 60/7*s**3 + d.
4*s*(s - 4)*(s - 1)**3/7
Let r(f) be the first derivative of 5*f**8/1344 - 5*f**7/168 + f**6/12 - f**5/12 + 12*f**2 - 2*f - 221. Let v(d) be the second derivative of r(d). Factor v(w).
5*w**2*(w - 2)**2*(w - 1)/4
Let -3/7*m + 3/7*m**2 - 18 = 0. What is m?
-6, 7
Let x be 3*(-3 - -2)*96/(-72)*2. Let w(a) be the third derivative of 0*a - x*a**2 + 5/8*a**4 - 7/12*a**5 + 1/14*a**7 - 7/24*a**6 + 0 + 0*a**3. Solve w(h) = 0.
-1, 0, 1/3, 3
Factor -2/3*z - z**2 + 5/6*z**3 + 4/3 - 1/6*z**4.
-(z - 2)**3*(z + 1)/6
Let n(p) be the first derivative of -7*p**4/4 + 8*p**3 - 6*p**2 + 71*p - 16. Let j(c) be the first derivative of n(c). Find k, given that j(k) = 0.
2/7, 2
Let a(i) = 2*i**2 - 29*i + 14. Let v = 626 - 612. Let d be a(v). Suppose -1/4*o**5 + 0*o**4 + d*o**2 + 1/2*o**3 + 0 - 1/4*o = 0. Calculate o.
-1, 0, 1
Let t(h) be the second derivative of -h**8/560 - h**7/70 + 2*h**5/5 + 2*h**4 + 3*h**3 - 2*h**2 - 75*h. Let g(c) be the second derivative of t(c). Factor g(v).
-3*(v - 2)*(v + 2)**3
Factor 260*p + 300 - 155/4*p**2 + 5/4*p**3.
5*(p - 20)*(p - 12)*(p + 1)/4
Let k(c) = -218*c - 2834. Let g be k(-13). Let p(s) be the third derivative of g - 10*s - 1/5*s**5 + 4/3*s**3 - 2*s**2 - 5/6*s**4. Solve p(z) = 0.
-2, 1/3
Let x(n) = 3*n**3 - 241*n**2 + 62*n + 1444. Let w be x(80). Factor k**3 - 7/5*k**2 - 2/5*k + 0 + 4/5*k**w.
k*(k - 1)*(k + 2)*(4*k + 1)/5
Let f(c) be the first derivative of -5 + 4*c**2 - 4/5*c**5 - 12*c - 2*c**4 + 16/3*c**3. Factor f(o).
-4*(o - 1)**2*(o + 1)*(o + 3)
Let b(j) be the second derivative of 3*j**5/160 + 7*j**4/32 - 27*j**2/4 + 15*j - 4. Determine o so that b(o) = 0.
-6, -3, 2
Factor -42 + 880*n - 441/2*n**3 - 9177/2*n**2.
-(n + 21)*(21*n - 2)**2/2
Let i(d) be the third derivative of -1/40*d**5 + 1/80*d**6 - 1/16*d**4 + 0 + 20*d - d**2 + 1/140*d**7 + 0*d**3. Factor i(g).
3*g*(g - 1)*(g + 1)**2/2
Factor -1/5*d**3 - 292/5 - 58*d**2 + 583/5*d.
-(d - 1)**2*(d + 292)/5
Let j = 177 + -174. Suppose 0 = 3*x + 3*h - 3, -4*x + h + 19 = 0. Let -4*f**2 + 4*f**x + 0*f**3 - 191*f + 0*f**4 + 187*f + 4*f**j = 0. What is f?
-1, 0, 1
Let i be (-17 + 6/(-1))*1*-1. Suppose 13*g + i*g = -0*g. Determine k, given that -3/7*k**4 + 0 + g*k + 0*k**3 + 3/7*k**2 = 0.
-1, 0, 1
Let g(n) = -24*n**5 - 26*n**4 + 26*n**3 + 57*n**2 - 40*n - 23. Let k(t) = t**5 + t**4 - t**3 - 2*t**2 + 2*t + 1. Let c(o) = -4*g(o) - 92*k(o). Factor c(z).
4*z*(z - 2)*(z + 1)**2*(z + 3)
Let r(g) be the first derivative of g**3/9 - 5*g**2/6 - 14*g/3 + 6058. Factor r(f).
(f - 7)*(f + 2)/3
Suppose 7*s + 938 = -2*b + 2*s, -3*b - 1453 = -4*s. Let a = b - -481. Factor 0 - 1/2*r**4 + 3/2*r**3 + 0*r**a - 2*r.
-r*(r - 2)**2*(r + 1)/2
Find g, given that -135*g + 200 - 184*g**2 + 124*g**2 + 388*g**3 - 393*g**3 = 0.
-8, -5, 1
Let p be (897/(-598))/(20/(-8)). Factor -18/5*c + 0 - p*c**2.
-3*c*(c + 6)/5
Let n(z) be the first derivative of -2*z**5/5 + 37*z**4/2 - 268*z**3 + 940*z**2 + 7600*z - 5446. Determine w, given that n(w) = 0.
-2, 10, 19
Suppose 4*g - 14 = 2. Suppose 3*i + g*h - 14 = 26, 4*h - 8 = i. Determine y, given that -115*y**2 + 115*y**2 + 4*y**4 + 4*y**3 - i*y**5 = 0.
-1/2, 0, 1
Let z(x) be the second derivative of -9*x**5/20 - 62*x**4 + 1141*x**3/2 + 1305*x**2 - 83*x. Solve z(n) = 0.
-87, -2/3, 5
Let q(w) = 3*w**2 + 309*w - 350. Let p(l) = 7*l**2 + 599*l - 701. Let j(b) = -2*p(b) + 5*q(b). Factor j(c).
(c - 1)*(c + 348)
Factor 29/6*z + 9 + 1/6*z**2.
(z + 2)*(z + 27)/6
Let s(y) be the third derivative of -y**5/75 + 49*y**4/30 - 32*y**3/5 - 398*y**2 + 2*y. Suppose s(z) = 0. What is z?
1, 48
Let d be (-15)/(-4)*((-7360)/45)/(-92). Find g, given that d - 4/3*g**2 + 16/3*g = 0.
-1, 5
Suppose -4*n = -j + 75, -18*n + 60 = 14*j - 19*n. Let -196/17 - 42/17*k + 24/17*k**2 - 2/17*k**j = 0. What is k?
-2, 7
Factor 3247*i**3 + 3140 + 2706*i + 805*i**2 - 6489*i**3 + 454*i + 3247*i**3.
5*(i + 2)**2*(i + 157)
Let t(i) be the second derivative of -19*i - 1/12*i**4 - 7/24*i**3 + 5/4*i**2 + 1/80*i**5 + 0. Factor t(m).
(m - 5)*(m - 1)*(m + 2)/4
Let f be (-12352)/(-288) - (-20)/(-90). Solve -f - 64*k - 6*k**4 - 4/3*k**5 + 152/3*k**2 + 40/3*k**3 = 0.
-4, -1/2, 2
Determine q so that -2*q**2 + 18 - 18/13*q + 2/13*q**3 = 0.
-3, 3, 13
Let k be 9/((-180)/148) - (-18 + 96)/(-6). Factor -k*r**3 - 48/5*r + 4/5*r**4 + 64/5*r**2 + 0.
4*r*(r - 3)*(r - 2)**2/5
Let z(q) be the second derivative of -q**6/75 + 77*q**5/50 + 13*q**4/5 - 2465*q. Factor z(j).
-2*j**2*(j - 78)*(j + 1)/5
Let y(z) = 141*z**4 - 10*z**3 + 53*z**2 - 44*z + 4. Let p(o) = 176*o**4 - 9*o**3 + 54*o**2 - 46*o + 5. Let l(m) = -4*p(m) + 5*y(m). Solve l(d) = 0 for d.
0, 1, 4, 9
Let f(a) = -3*a**2 + 39*a + 40. Let z(c) = -9*c**2 + 235*c - 2*c**2 + 3*c**2 + 241 - 11*c**2. Let t(r) = 39*f(r) - 6*z(r). Factor t(n).
-3*(n - 38)*(n + 1)
Let w(s) be the third derivative of 22 - 1/156*s**4 - 2/39*s**3 + 1/780*s**6 + 0*s + 2*s**2 + 1/195*s**5. Suppose w(i) = 0. What is i?
-2, -1, 1
Let k(q) be the second derivative of q**7/15120 - 13*q**6/1080 + 127*q**4/12 + 17*q - 1. Let r(p) be the third derivative of k(p). Suppose r(u) = 0. What is u?
0, 52
Let c(x) be the first derivative of 7*x**5 - 305*x**4/4 + 250*x**3 - 230*x**2 - 200*x - 406. Find k such that c(k) = 0.
-2/7, 2, 5
Let z(y) be the third derivative of y**8/4200 - 2*y**7/105 + 97*y**6/1500 - 8*y**5/125 - 47*y**2 + 47. Factor z(s).
2*s**2*(s - 48)*(s - 1)**2/25
Suppose 0 = 50*o - 20*o - 48510. Determine a so that -10*a**3 - 836*a**2 + 45*a + 5*a**5 - 841*a**2 + 20*a**4 + o*a**2 = 0.
-3, 0, 1
Let y = 252/5 + -50. Suppose 0 = 411*m + 488*m. Solve -y*j**2 + 2/5*j**5 + 0*j + 2/5*j**4 - 2/5*j**3 + m = 0 for j.
-1, 0, 1
Suppose 24*r + 31 = -2*h + 21*r, 5*r + 59 = -4*h. Let o be h/(-2) - (-17 - -19). Determine a, given that 3*a - 1/2*a**2 + o = 0.
-1, 7
Suppose 5*p + 9 = -2*m + 24, -2*p + 2*m + 6 = 0. Factor v**3 + 3*v + 13519 - 4*v**3 + p*v**2 - 13522.
-3*(v - 1)**2*(v + 1)
Suppose -1531*r + 1524*r = -147. Let q(s) be the first derivative of r - 1/12*s**4 + 1/3*s**3 + 1/6*s**2 - s. Find u, given that q(u) = 0.
-1, 1, 3
Let -408 + 307*k**2 - 10*k + 318*k**2 - 104*k + 317*k**2 - 945*k**2 = 0. Calculate k.
-34, -4
Let q(x) = x**2 - 6*x - 50. Let f be q(12). Suppose 12*w + 60*w**2 - 17*w**2 + 10 - 26*w**2 + f - 19*w**2 = 0. What is w?
-2, 8
Suppose 11*d - 16*d + 20 = 0. What is o in 25*o + d*o**3 - 3*o**2 + 5*o**2 - 9*o + 14*o**2 = 0?
-2, 0
Suppose 7*t + 1045 - 2886 = 0. Let z = t + -2365/9. Solve 4/9*q - 2/3*q**2 + 0 + z*q**3 = 0 for q.
0, 1, 2
Let w(s) = s**3 + 20*s**2 - 25*s - 49. Let m be w(-21). Let a(n) be the first derivative of -m + 26/7*n**2 - 20/21*n**3 + 24/7*n. Factor a(c).
-4*(c - 3)*(5*c + 2)/7
Factor -480*s + 399 + 1000*s**2 - 4879 + 12909*s**3 + 4*s**5 - 9*s**5 - 15*s**4 - 12679*s**3.
-5*(s - 7)*(s - 2)*(s + 4)**3
Let c(i) be the third derivative of i**9/42336 - i**8/70560 + 7*i**5/20 + 5*i**3/6 - 2*i**2 + 22. Let x(a) be the third derivative of c(a). Factor x(o).
2*o**2*(5*o - 1)/7
Suppose -4*j + 160 - 152 = 0. Factor 41*h**5 - 40*h**4 - 46*h**5 - 65*h**3 - 28*h**2 - 2*h**j.
-5*h**2*(h + 1)**2*(h + 6)
Suppose 22*w + 11754 = -1908. Let n be 6 - ((-10)/8 + w/(-108)). Find v, given that -n*v**5 - 21/2 + 21*v**3 - 39/2*v + 3*v**2 + 15/2*v**4 = 0.
-1, 1, 7
Let m(j) be the third derivative of 1/70*j**7 + 0*j - 8*j**2 - 3/20*j**5 + j**3 - 1/40*j**6 + 1/8*j**4 - 4. Solve m(d) = 0 for d.
-1, 1, 2
Factor 3181769*j + 644959*j - 594648*j - 790*j**2 + 8830*j**2 + 5*j**3.
5*j*(j + 804)**2
Let u(z) = 25*z**2 - 30*z - 33. Let t(m) = 9*m**2 - 10*m - 11. Let y be (-14)/(-21) - (-28)/(-6). Let r(a) = y*u(a) + 11*t(a). Factor r(p).
-(p - 11)*(p + 1)
Let n(v) be the first derivative of 125*v**6/6 + 415*v**5/3 + 1820*v**4/9 + 1316*v**3/27 - 400*v**2/9 + 64*v/9 + 2067. Solve n(t) = 0 for t.
-4, -1, -4/5, 2/15
Solve 23398/13*z**3 + 288/13 + 3160/13*z + 15540/13*z**4 + 12944/13*z**2 - 450/13*z**5 = 0.
-2/5, -1/3, 36
Let p(i) = 3*i**