68*i**2/9 - 32*i/3 + 667. Let l(u) = 0. What is u?
-3, 1, 2, 4
Let g = 74 - 74. Suppose g = -4*m - 4*s + 82 - 6, -5*s - 59 = -2*m. Find a such that -m*a - 20*a**2 + 5*a**4 - 18*a + 15*a**3 - 5*a**3 = 0.
-2, 0, 2
Let y(h) = -7*h**2 + 2 + h**2 + 4*h + 6*h - 11*h. Let m be y(0). Let 12*q**3 - 20*q + 8 - 26*q**2 + 2*q**m - q**2 + 9*q**2 = 0. What is q?
-1, 1/3, 2
Suppose 5*q - 11*l - 501 + 270 = 0, 4*q - l - 21 = 0. Solve -128/7*m + q - 32/7*m**2 - 2/7*m**3 = 0.
-8, 0
Let c(d) be the third derivative of -1/600*d**6 + 1/10*d**4 + 1 + 11/300*d**5 - 24*d**2 + 0*d**3 + 0*d. Determine b, given that c(b) = 0.
-1, 0, 12
Suppose 5*u = -o + 2*o + 39, -39 = o + 2*u. Let r = o - -42. Factor 4*t**4 + 3*t**3 - 2*t**2 + r*t**5 + 2*t**4 + t**4 + t**4.
t**2*(t + 1)*(t + 2)*(3*t - 1)
Let k(u) be the first derivative of 16*u**5/5 + 215*u**4/2 + 362*u**3/3 - 26*u**2 - 2670. Find f such that k(f) = 0.
-26, -1, 0, 1/8
Solve -304*y**2 - 992/5*y + 71*y**4 + 7/5*y**5 + 80 + 44*y**3 = 0 for y.
-50, -2, -1, 2/7, 2
Suppose -1/2*k**3 + 3/2*k**2 + 57*k + 104 = 0. Calculate k.
-8, -2, 13
Factor 4*z**4 + 2345 + 2338 + 320*z + 488*z**2 - 7020 + 2337 + 172*z**3.
4*z*(z + 1)*(z + 2)*(z + 40)
Let z be 880/(-200) - 32/(-5). What is q in 9*q + 0 + 3/2*q**z = 0?
-6, 0
Suppose -2985 - 1200 - 2083 + 1219 = -1683*y. Factor -1/3*m**4 + 47/3*m**2 - 56*m + 2*m**y - 784/3.
-(m - 7)**2*(m + 4)**2/3
Let h be (-1101)/((183/(-1464))/(2/(-36))*-3). Let -296/9 - 40/9*o**5 - 3148/9*o**3 + 1564/9*o**4 + h*o**2 + 452/9*o = 0. Calculate o.
-2/5, 1/2, 1, 37
Let k be (-4 - -5)/(3/27). Solve 592*y**3 - 21*y**2 - 18*y - 583*y**3 + k*y**4 - 3*y**5 + 0*y = 0.
-1, 0, 2, 3
Let z(k) = 190*k + 7220. Let g be z(-38). Find r, given that 3/7*r**2 - 6*r + g = 0.
0, 14
Let z = -482 - -483. Let q be (2/(-22))/z*(-2475)/450. Factor -27/4*f**2 - 3/4*f + q + 7*f**3.
(f - 1)*(4*f - 1)*(7*f + 2)/4
Suppose -3*o - x + 11 = -18, 10 = 2*x. Suppose -5*l = -25, -5*l = 3*n - 102 + o. Find p, given that -3*p**2 + 46 - n - 21 - p = 0.
-1, 2/3
Suppose 282*t + 74 = 593*t - 274*t. Factor -17/7 + 4/7*w**t + 67/7*w.
(w + 17)*(4*w - 1)/7
Let l(z) = -15*z - 10. Let b be l(-4). Let y = -43 + b. Determine t, given that t**3 - 8*t**2 + y*t**2 - 9*t + 7*t**2 + 2*t**3 = 0.
-3, 0, 1
Let w(p) be the first derivative of -27/5*p**5 + 66 + 0*p + 45/4*p**4 + 5/6*p**6 + 3*p**2 - 29/3*p**3. Factor w(n).
n*(n - 3)*(n - 1)**2*(5*n - 2)
Let t(c) be the first derivative of c**4/6 - 56*c**3/9 - 31*c**2/3 + 116*c/3 - 4995. Let t(b) = 0. Calculate b.
-2, 1, 29
Let m(q) = q**2 + 25*q - 503. Let v be m(14). Suppose 0 = -h - 3*f - 4, h + 41*f - v*f = 6. Determine r, given that -28/9*r + 16/3 + 4/9*r**h = 0.
3, 4
Let q(n) = 40*n**3 - 20*n**2 - 72*n - 24. Let y(v) = v**4 + 41*v**3 - 19*v**2 - 74*v - 30. Let u(d) = 5*q(d) - 4*y(d). Suppose u(g) = 0. Calculate g.
-1, 0, 2, 8
Factor 4/7*l**2 - 540/7 - 24/7*l.
4*(l - 15)*(l + 9)/7
Find z such that -4*z**3 - 47*z**2 + 2*z**3 + 121*z + 216*z - 117*z - 59*z**2 = 0.
-55, 0, 2
Let x(u) be the third derivative of -u**6/1260 + u**4/21 + 11*u**3/2 - 11*u**2 + 3. Let t(d) be the first derivative of x(d). Factor t(z).
-2*(z - 2)*(z + 2)/7
Let f(j) be the first derivative of -j**6/15 + 4*j**5/5 - 21*j**4/10 - 56*j**3/15 + 52*j**2/5 + 96*j/5 - 3392. Let f(z) = 0. What is z?
-1, 2, 4, 6
Suppose 328 - 431*g - 4*g**3 + 176*g**2 - 443*g + 1358*g - 24*g**2 = 0. What is g?
-2, -1, 41
Suppose 142/7*s**3 - 418/7*s**2 - 1440/7*s + 2/7*s**5 - 936/7 + 58/7*s**4 = 0. Calculate s.
-26, -3, -2, -1, 3
Let j be 10/(-4)*(11 + 4 + 2291/(-145)). Factor -64/9*n + 1/3*n**j - 44/9.
(n - 22)*(3*n + 2)/9
What is k in -8*k + 39*k - 85*k - 169*k**2 - 36 - 25*k - 77*k = 0?
-6/13
Let a(q) be the first derivative of -q**5/5 + 102*q**4 + 273*q**3 + 205*q**2 + 1911. Let a(y) = 0. Calculate y.
-1, 0, 410
Let k(n) be the first derivative of -6*n**5/25 - 22*n**4/5 - 968*n**3/45 - 726. Factor k(c).
-2*c**2*(3*c + 22)**2/15
Let r(o) = 11*o**3 + 22*o**2 + 27*o + 16. Let v(b) = -2*b**3 - b**2 - 1. Let w = -105 + 104. Let k(u) = w*r(u) - 4*v(u). Factor k(i).
-3*(i + 1)**2*(i + 4)
Factor -7*y**4 - 100*y**3 + 28033*y**2 - 28238*y**2 + 850*y - 7*y**4 + 9*y**4.
-5*y*(y - 2)*(y + 5)*(y + 17)
Let o(y) be the second derivative of -y**5/210 + 11*y**4/21 - 484*y**3/21 - 141*y**2/2 + 10*y - 6. Let s(n) be the first derivative of o(n). Factor s(t).
-2*(t - 22)**2/7
Let t(f) be the third derivative of f**8/63 + 22*f**7/63 + 97*f**6/45 + 212*f**5/45 + 7*f**4/3 - 6*f**3 - 2083*f**2. Solve t(d) = 0.
-9, -3, -1, 1/4
Let d(v) = -20 + 3*v**2 + 29 + 4*v - 2*v**2. Let o be d(-8). Factor -80*m + 35*m + 4*m**2 - 24 + o*m.
4*(m - 3)*(m + 2)
Let n(l) be the second derivative of l**5/60 - 47*l**4/24 - 96*l**2 - l - 2. Let s(c) be the first derivative of n(c). Let s(h) = 0. Calculate h.
0, 47
Let g(w) = w**2 + w - 2. Let a(p) = 4*p**2 + 68*p - 140. Let n(b) = 5*a(b) - 15*g(b). Factor n(h).
5*(h - 2)*(h + 67)
Let a(p) be the second derivative of -p**6/21 - 123*p**5/70 - 30*p**4/7 + 92*p**3/21 - p - 1225. Let a(m) = 0. What is m?
-23, -2, 0, 2/5
Let r(k) be the first derivative of -k**9/9072 + k**8/1008 - k**7/630 + 56*k**3/3 - 1. Let c(m) be the third derivative of r(m). Find t such that c(t) = 0.
0, 1, 4
Let 1/2*q**3 - 31433/2 - 103/2*q**2 + 3311/2*q = 0. What is q?
17, 43
Let c(w) be the third derivative of w**6/108 + 143*w**5/270 - 52*w**4/27 + 20*w**3/9 - 10578*w**2. Let c(z) = 0. What is z?
-30, 2/5, 1
Let v(l) be the second derivative of -l**6/1440 + l**5/32 - 7*l**4/48 + 89*l**3/6 + l**2 + 76*l. Let g(c) be the second derivative of v(c). Factor g(w).
-(w - 14)*(w - 1)/4
Let x(h) be the second derivative of 5*h**4/12 + 135*h**3 + 32805*h**2/2 + 76*h. Factor x(u).
5*(u + 81)**2
Let c be (-6)/4*(-2290)/1374. Determine f so that -30 - 40*f - 35/2*f**2 - c*f**3 = 0.
-3, -2
Let n(m) be the first derivative of -5*m**4/4 + 605*m**3/3 + 3765*m**2/2 + 5715*m - 2926. Solve n(g) = 0 for g.
-3, 127
Factor 0 - 4/21*u + 2/21*u**2.
2*u*(u - 2)/21
Let u be ((372/(-27))/4)/(-2). Let d = u - 3/2. Factor -d*r**2 - 2/9*r**4 + 4/9*r**3 + 0*r + 0.
-2*r**2*(r - 1)**2/9
Suppose 2*m + 9 = 13. Factor -36 - 12*v - 19*v**2 - 36*v - 3*v**3 - 2*v**m.
-3*(v + 2)**2*(v + 3)
Let n be 31 - (6 - 11492/(-572)). Let 2/11*y**3 - 20/11*y**2 + n*y - 36/11 = 0. What is y?
1, 3, 6
Factor 0 - 34/3*r**2 + 65*r - 1/3*r**3.
-r*(r - 5)*(r + 39)/3
Let s = -22472 + 89889/4. Let y(v) be the first derivative of 1/72*v**6 - 1/18*v**3 - 1/60*v**5 - 1/8*v**4 + 40 + 5/24*v**2 + s*v. What is t in y(t) = 0?
-1, 1, 3
Let t be (-1632)/(-84) - -48*(-23)/644. Factor t*d - 2/7*d**2 - 1922/7.
-2*(d - 31)**2/7
Let v(f) = -9*f**4 + 21*f**3 + 9*f**2 - 16*f. Let c(l) = 13*l - 52*l**3 + 22*l**4 + 3*l**2 - 20*l**2 - 5*l**2 + 27*l. Let n(i) = 5*c(i) + 12*v(i). Factor n(j).
2*j*(j - 4)*(j - 1)*(j + 1)
Let i be (20 - 24) + 2 + 6. Determine q so that -2*q**5 + 29*q**4 + 5*q**i + 37*q**2 - 175*q**3 - 199*q**2 + 49*q**3 = 0.
-1, 0, 9
Let r(v) be the third derivative of 0 + 0*v**3 + 1/48*v**6 + 0*v - 1/40*v**5 - 77*v**2 - 1/24*v**4. Factor r(h).
h*(h - 1)*(5*h + 2)/2
Let j be 0/(-1) - 30*(-8)/60. Let w(s) be the first derivative of 32 - 1/3*s**3 + 4*s**2 - 1/2*s**j + 4*s. Factor w(d).
-(d - 2)*(d + 2)*(2*d + 1)
Factor 435/7*g - 4/7*g**2 + 439/7.
-(g + 1)*(4*g - 439)/7
Factor 3/2*y**5 - 35/6*y**3 - 2/3*y**4 + 0 + 0*y - 11/3*y**2.
y**2*(y + 1)**2*(9*y - 22)/6
Let f(c) be the second derivative of -c**8/560 + 3*c**7/70 + 13*c**6/120 + c**3/6 - 4*c**2 - 52*c + 2. Let i(l) be the second derivative of f(l). Factor i(b).
-3*b**2*(b - 13)*(b + 1)
Suppose -5*p - 5*o - 10 = 0, -5*p + 4*o = 71 - 97. Let g be (12 - (14 - 2))*p/(-4). Suppose g - 1/3*c**3 + 1/3*c - 1/6*c**2 + 1/6*c**4 = 0. Calculate c.
-1, 0, 1, 2
Suppose -6 = -18*h + 12. Let a be 21/(-112)*-2 - (-166)/h. Factor a + 33/8*q**2 + 1/8*q**3 + 363/8*q.
(q + 11)**3/8
Suppose 78*q**3 + 27*q**3 - 15 - 21 + 42 + 57*q + 156*q**2 = 0. Calculate q.
-1, -2/7, -1/5
Let h(n) be the third derivative of 17/120*n**6 + 2/3*n**5 + 29/24*n**4 + 0*n + 0 + 329*n**2 + n**3. Factor h(v).
(v + 1)**2*(17*v + 6)
Let l be (-205)/246*(-64)/(-10)*27/(-12). Suppose 4/9*m**4 + 100/3*m**2 - l*m**3 + 32/3 - 292/9*m = 0. What is m?
1, 24
Suppose 5*o = 3*r + 16, 31*r - 3 = 30*r. Let x(f) be the second derivative of 0 - 7/3*f**3 - 11/30*f**4