-48)/176 + i/(-220). Suppose -1/5*n**3 + 0 - g*n + 2/5*n**2 = 0. What is n?
0, 1
Let h be (-12)/(-10)*(-80)/(-1). Let p be (h/112)/((-1)/(-7)). Suppose 3*f - p*f**2 + 2*f - 2*f**2 + 15*f - 8 = 0. What is f?
1/2, 2
Let n be (-44 - 1)*488/(-4880). What is t in 3*t - 3*t**3 + 1/2*t**4 + 4*t**2 - n = 0?
-1, 1, 3
Let l be 2/18*(-20454)/(-4870)*200/14. Determine x, given that -12*x**2 + 0 - l*x - 4/3*x**4 - 7*x**3 = 0.
-2, -5/4, 0
Let a(w) be the third derivative of w**5/120 + 439*w**4/6 + 770884*w**3/3 - 1645*w**2. Determine t so that a(t) = 0.
-1756
Let f be 10*((-24)/(-20) + -2 + 1). Let l = 0 - -3. Factor j**f + 246*j + 3*j**2 - 255*j - l*j**2.
j*(j - 9)
Let r(t) be the first derivative of -2*t**3/15 - 49*t**2/5 + 108*t - 629. Solve r(h) = 0 for h.
-54, 5
Let g(d) = 23*d**3 + 813*d**2 - 3512*d + 2494. Let i(y) = 11*y**3 + 406*y**2 - 1749*y + 1248. Let f(m) = 6*g(m) - 13*i(m). Find z such that f(z) = 0.
-84, 1, 3
Let w(o) be the third derivative of -o**8/1680 - 9*o**7/175 - 103*o**6/300 - 76*o**5/75 - 67*o**4/40 - 5*o**3/3 - 2368*o**2. Factor w(n).
-(n + 1)**4*(n + 50)/5
Let q(k) be the second derivative of 59*k**4/10 - 3*k**3/10 - 2014*k. Factor q(w).
3*w*(118*w - 3)/5
Factor 112*h**2 + 230*h**2 + 945 - 602*h - 4*h**4 + 0*h**4 + 5*h**4 - 44*h**3 - 370*h.
(h - 35)*(h - 3)**3
Let p = -3548219/103 + 34449. Let v = p - 65/618. Suppose 1/2 + 2/3*y + v*y**2 = 0. Calculate y.
-3, -1
Let b be (-2 - 63/(-6))*12. Let g be 16/b*(-159)/(-212). What is d in -4/17*d - 2/17 - g*d**2 = 0?
-1
Let j(n) = -3*n**2 + 70*n - 433. Let x(y) = -12*y**2 + 279*y - 1734. Let o(u) = -9*j(u) + 2*x(u). Solve o(t) = 0.
11, 13
Let q(d) be the first derivative of 3*d**4/4 - 698*d**3 + 365403*d**2/2 + 6793. Factor q(j).
3*j*(j - 349)**2
Suppose 14*s = -524 - 540. Let g = -72 - s. Determine z so that 3/2*z**g - 8 + 16*z - 4*z**2 - 4*z**3 = 0.
-2, 2/3, 2
Let m(r) be the first derivative of -83 - 17/2*r**4 - 6/5*r**5 - 62/3*r**3 - 12*r - 23*r**2. Suppose m(h) = 0. What is h?
-3, -1, -2/3
Let n = -13115 + 13115. Let f(s) be the second derivative of 21*s - 2/9*s**3 + n*s**4 + 1/60*s**5 + 0 + 0*s**2. Factor f(m).
m*(m - 2)*(m + 2)/3
Let y be 2538/(-1128)*(-1)/3. What is s in -1/4*s**3 + y*s**2 + 1/4 - 3/4*s = 0?
1
Let k = -216 + 214. Let r be (k/26)/(3/(-18)). Factor r*q**2 + 4/13*q - 2/13.
2*(q + 1)*(3*q - 1)/13
Let z = 9 + -7. Let d be (z + 1)/((-9)/(-12)). Determine m, given that -4 - 10 - d*m - 2*m**2 + 0*m**2 + 12 = 0.
-1
Let l(g) be the third derivative of -g**6/60 - g**5/15 + 21*g**4/4 + 421*g**2 + 3. Factor l(y).
-2*y*(y - 7)*(y + 9)
Suppose -2527 = -301*n - 1323. Let w(i) be the first derivative of -n*i**3 + 9/2*i**2 + 3*i + 11. Solve w(y) = 0.
-1/4, 1
Let u be (7 + -3 - 7)*-31. Let v = -91 + u. What is w in 12/5 + 0*w**3 + 3/5*w**4 + 0*w - 3*w**v = 0?
-2, -1, 1, 2
Let i(x) be the third derivative of -x**7/1050 - 7*x**6/300 - 13*x**5/60 - 5*x**4/6 - 19*x**2 - x. Find n, given that i(n) = 0.
-5, -4, 0
Let d = 1755087/5 + -349851. Factor 13122/5 + d*z + 2/5*z**4 + 72/5*z**3 + 972/5*z**2.
2*(z + 9)**4/5
Factor -11/2 - 28*q - 5/2*q**2.
-(q + 11)*(5*q + 1)/2
Let w(a) be the second derivative of a**4/78 + 106*a**3/13 + 25281*a**2/13 + 80*a - 3. Solve w(h) = 0.
-159
Let m(f) be the first derivative of f**3/6 - 17*f**2 - 70*f + 1188. Factor m(t).
(t - 70)*(t + 2)/2
Let w(n) be the second derivative of -n**7/2520 + n**6/80 - 7*n**5/60 + 4*n**4/3 - 161*n. Let f(j) be the third derivative of w(j). Factor f(k).
-(k - 7)*(k - 2)
Let j be (1403/(-183) - -7)*(-2)/8. Let g = 7/6 + -1. Let -j*c**2 - g*c + 1/3 = 0. Calculate c.
-2, 1
Let b be 2200/660*(-3)/(-2). Let n(a) be the second derivative of 0 - 5/24*a**4 + 25/12*a**3 - a - b*a**2. Factor n(c).
-5*(c - 4)*(c - 1)/2
Let o(c) be the second derivative of 3/2*c**2 + 1/160*c**5 + 1/48*c**4 - 5/12*c**3 + 0 - 101*c. Solve o(x) = 0 for x.
-6, 2
Suppose 0 = 3*c - 319*j + 316*j + 6, -14 = -5*c - j. Factor -1/5*a**c + 0 + 4/5*a.
-a*(a - 4)/5
Suppose c = -5*d - 1337, -4*d + 3*c = -c + 1084. Let q = d - -272. Suppose -24/5*x**2 + 4/5*x**4 + 16/5*x**3 + q - 16/5*x = 0. Calculate x.
-5, -1, 1
Let d(z) = 11*z**4 - 18*z**3 - 32*z**2 + 77*z - 58. Let y(q) = -6*q**4 + 9*q**3 + 18*q**2 - 39*q + 30. Let a(w) = 3*d(w) + 5*y(w). Factor a(x).
3*(x - 2)**2*(x - 1)*(x + 2)
Suppose -15*b + 20*b = 1500. Suppose -3*l + b = 294. Solve -4/9*m**3 - 2/9*m**4 - 2/9*m**l + 0 + 0*m = 0.
-1, 0
Let n be (5/4)/(-5) - (-63)/28. Factor 3*m**2 + 109 + 6*m - 100 - 4*m**n - 2*m**2.
-3*(m - 3)*(m + 1)
Let c(x) be the third derivative of -x**6/660 - x**5/30 - 5*x**4/66 - 2*x**2 - 5514. Solve c(n) = 0 for n.
-10, -1, 0
Factor -1/8*h**2 + 13/4*h - 25/8.
-(h - 25)*(h - 1)/8
Let z(i) be the first derivative of 2*i**5/15 + 4*i**4/3 + 34*i**3/9 - 2*i**2/3 - 16*i - 959. Solve z(s) = 0.
-4, -3, -2, 1
Let u(m) be the third derivative of -m**7/5040 - 17*m**6/1440 + 11*m**4/12 - 25*m**2. Let h(r) be the second derivative of u(r). Factor h(w).
-w*(w + 17)/2
Let c(v) be the second derivative of -v**5/110 - 130*v**4/33 - 16637*v**3/33 + 34322*v**2/11 - 570*v. Solve c(n) = 0.
-131, 2
Let l be ((-80)/28)/10 - (1600/120)/((-14)/6). Factor 2/7*n**2 - l*n + 36/7.
2*(n - 18)*(n - 1)/7
Let k(i) = i**3 + i**2 - 12*i - 21. Let t be k(-11). Let g be (8 + t/140)/((-3)/(-24)). Factor 0 + 2/5*a**2 + g*a.
2*a*(a + 3)/5
Let m = 159797 - 159792. Suppose -1/2*k**5 + 1/2 + m*k**2 + 3*k**3 + 17/6*k - 1/6*k**4 = 0. Calculate k.
-1, -1/3, 3
Factor -88*j + 24 - 7079*j**2 + 14*j**3 - 7076*j**2 + 14165*j**2.
2*(j - 2)*(j + 3)*(7*j - 2)
Factor 0 + 4/5*x**3 - 188/5*x - 374/5*x**2.
2*x*(x - 94)*(2*x + 1)/5
Let m(z) be the first derivative of 1331*z**4/7 - 49368*z**3/7 + 686664*z**2/7 - 4244832*z/7 + 5437. Factor m(t).
4*(11*t - 102)**3/7
Let w = 351 - 340. Factor w - m**2 + 21 + 10 + 4*m**2 - 45*m.
3*(m - 14)*(m - 1)
Factor 305 - 7*p**2 - 21*p**2 - 174 - 4*p**3 + 40*p - 67.
-4*(p - 2)*(p + 1)*(p + 8)
Let p(r) = -2*r**2 + 16*r - 15. Let y be p(6). Let g be y/6 - (-3)/2. Factor 12*f**5 + 46*f**g - 7*f**5 + 4*f**3 + 5 + 25*f + 25*f**4 + 50*f**2.
5*(f + 1)**5
Suppose 0 = 5*j - 30. Let m(t) = -t**3 + t**2. Let y(g) = 2 - 3*g**2 + 118*g**3 - 2 - 6*g**2 - 109*g**3. Let u(x) = j*m(x) + y(x). Factor u(o).
3*o**2*(o - 1)
Let t be (-1822)/(-4) - 1/2. Determine o so that 23 - 235*o**2 + 34*o**4 - t*o**3 - 113 + 211*o**4 + 375*o = 0.
-1, 3/7, 2
Let i(d) be the first derivative of -d**3/30 - d**2/20 + 2*d + 1102. Find f such that i(f) = 0.
-5, 4
Let s(q) = -q**3 + 10*q**2 - 17*q - 6. Let k be s(6). Find a such that k - 3/2*a**2 + 15/2*a = 0.
-3, 8
Let f be (-1334)/4002 + (-18)/(-4). What is z in 7/3*z**4 - 25/3*z**2 + 1 + f*z**3 + 5/6*z = 0?
-3, -2/7, 1/2, 1
Let o(x) be the first derivative of 3*x**5/35 + 57*x**4/14 + 277*x**3/7 - 342*x**2 + 756*x - 1400. Factor o(k).
3*(k - 2)**2*(k + 21)**2/7
Let h = 293 - 257. Suppose -2*m = -2*d - 5*m + h, 40 = 2*d + 5*m. What is t in -d*t - 3/2*t**2 - 75/2 = 0?
-5
Let s be (-154)/(-84) + (-1)/(-6). Find f such that 26*f + 30 + 7*f**2 - 2*f**s - 61*f = 0.
1, 6
Let q(h) be the first derivative of 1/16*h**4 + 33 - 1/4*h - 1/8*h**2 + 1/12*h**3. Factor q(b).
(b - 1)*(b + 1)**2/4
Let p(w) be the third derivative of w**6/30 + 38*w**5/15 + 361*w**4/6 - 123*w**2 + 3. Solve p(y) = 0 for y.
-19, 0
Let r(y) = -13*y**2 - 249*y - 569. Let w(i) = -51*i**2 - 995*i - 2277. Let d(v) = 22*r(v) - 6*w(v). Let d(s) = 0. Calculate s.
-22, -13/5
Let i(f) = 3*f - 9. Let j be i(4). Determine x, given that x**j + 415 - 415 + 5*x**2 = 0.
-5, 0
Factor -15489*g**2 + 5973298*g - 213*g**3 + 216*g**3 - 15291985083 + 20683271*g.
3*(g - 1721)**3
Let n(p) be the second derivative of 16*p**6/15 - 92*p**5/5 + 481*p**4/6 + 92*p**3 + 36*p**2 + 1033*p. Find s such that n(s) = 0.
-1/4, 6
Factor 29/6*r - 1/6*r**2 - 30.
-(r - 20)*(r - 9)/6
Let t(h) = -72*h**2 - 8*h + 76. Let z(r) = -r**3 + r**2 - r. Let y be 4 - ((-13 - -6) + 10). Let u(g) = y*t(g) - 4*z(g). Factor u(b).
4*(b - 19)*(b - 1)*(b + 1)
Let k(j) = -5*j**4 + 35*j**3 + 90*j**2 - 100*j - 270. Let a(w) = w**3 + 1. Let q be ((-1)/(-3))/((-27)/81). Let p(f) = q*k(f) + 10*a(f). Solve p(v) = 0.
-2, 2, 7
Suppose -187 - 517 = -32*d. Let f = d + -173/8. Find y such that 1/8*y**4 - 1/8*y + 0 + 3/8*y**2 - f*y**3 = 0.
0, 1
Let a(h) be the second derivative of -h**5/270 - 4*h**4/27 - 13*h**