149 + 11*i + 36 + 47*i + i**2 - 20.
(i + 3)*(i + 55)
Let x(f) = -154*f**2 + 2688*f + 1710. Let a(n) = -44*n**2 + 768*n + 487. Let o(k) = -18*a(k) + 5*x(k). Find l, given that o(l) = 0.
-6/11, 18
Let a(y) be the first derivative of y**6/3 + 36*y**5/5 + 20*y**4 - 52*y**3 - 41*y**2 + 120*y - 3672. Let a(u) = 0. Calculate u.
-15, -4, -1, 1
Suppose -2/11*g**3 - 25983366/11*g + 18023794882/11 + 12486/11*g**2 = 0. What is g?
2081
Let q(z) be the first derivative of -z**4/16 + 89*z**3/2 - 72345*z**2/8 + 70225*z + 2546. Factor q(s).
-(s - 265)**2*(s - 4)/4
Let y(o) be the first derivative of 5*o**3 + 21170*o**2 - 14115*o - 955. Let y(u) = 0. Calculate u.
-2823, 1/3
Let z be (1 + (-2)/14)/(2271/26495)*(-6)/(-14). Factor 2/7*v**5 - z*v**4 + 0*v + 0 + 54/7*v**3 - 26/7*v**2.
2*v**2*(v - 13)*(v - 1)**2/7
Suppose -1/9*q**2 - 26896/9 + 328/9*q = 0. Calculate q.
164
Let z(u) = -7*u**3 + 27*u**2 - 146*u - 294. Let x(g) = -22*g**3 + 80*g**2 - 439*g - 931. Let w(o) = -6*x(o) + 19*z(o). Suppose w(l) = 0. What is l?
0, 5, 28
Let d(j) be the second derivative of -4*j**2 + 2*j**3 + 0 - 13/24*j**4 - 1/240*j**6 + 3/40*j**5 + 51*j. Suppose d(m) = 0. Calculate m.
2, 4
Let o(d) be the first derivative of 2*d**6/3 - 448*d**5/5 + 3136*d**4 + 441. Factor o(w).
4*w**3*(w - 56)**2
Let u(n) = -n**2 - 7*n + 11. Let l be u(-8). Let p(r) = 3*r + 43. Let y be p(-12). Find f such that 5 - l*f**2 + 1 + 3*f + y - 7 = 0.
-1, 2
Factor 0 - 4/5*w**2 - 12*w.
-4*w*(w + 15)/5
Factor 190*d**2 + 420 - 650*d + 4*d**3 + 4799*d - 641*d - 1428*d - 1146*d.
2*(d + 5)*(d + 42)*(2*d + 1)
Factor -2395/3*c**2 + 9520/3*c - 9500/3 + 5/3*c**3.
5*(c - 475)*(c - 2)**2/3
Let a(y) be the first derivative of y**3/15 + 53*y**2/10 + 592*y/5 + 6820. Factor a(i).
(i + 16)*(i + 37)/5
Factor -732*c + 317*c + 313*c + 277*c + 1530 + 5*c**2 + 0*c**2.
5*(c + 17)*(c + 18)
Let g(q) be the third derivative of q**7/350 - 7*q**6/200 + 11*q**5/100 + 7*q**4/40 - 6*q**3/5 + 1566*q**2. Find v such that g(v) = 0.
-1, 1, 3, 4
Let n be 12830/980 - 0 - 8 - 5. Let d(k) be the second derivative of 8/7*k**4 + 8/7*k**3 - 6/35*k**5 + n*k**7 - 2*k - 12/35*k**6 + 0*k**2 + 0. Factor d(i).
3*i*(i - 2)**2*(3*i + 2)**2/7
Suppose -2*m = -5*d - 3278, -50*m + 52*m - 3266 = -d. Let f = m - 9779/6. Factor 1 + 7/2*u**2 - f*u + 5/3*u**3.
(u + 3)*(2*u - 1)*(5*u - 2)/6
Let m(b) be the first derivative of b**6/6 - 33*b**4/2 + 160*b**3/3 + 225*b**2/2 + 7220. Factor m(w).
w*(w - 5)**2*(w + 1)*(w + 9)
Let u(q) = q**3 + q**2 - 3. Let x(c) = 66*c**2 - 432*c + 951. Let a(b) = 3*u(b) - x(b). Determine m, given that a(m) = 0.
5, 8
Let 0 + 8*a**3 - 144/7*a - 12*a**2 - 4/7*a**4 = 0. What is a?
-1, 0, 3, 12
Factor -66049/6 + 257/3*g - 1/6*g**2.
-(g - 257)**2/6
Let l(n) = n + 3. Let d(s) = -73*s**2 + 189*s**2 - 53*s**2 + 11 - 2*s + 3*s. Let t(r) = d(r) - 5*l(r). Factor t(a).
(7*a - 2)*(9*a + 2)
Let j(o) be the first derivative of -o**6/105 + o**5/35 + 4*o**4/21 + 58*o + 60. Let b(k) be the first derivative of j(k). Find y, given that b(y) = 0.
-2, 0, 4
Let y = 85/318 - 16/159. Let r(l) be the second derivative of -20*l + 2*l**2 - l**3 + y*l**4 + 0. Find w, given that r(w) = 0.
1, 2
Let f(v) = -v**2 - 48*v + 401. Let i be f(-55). Let l be 176/i*2/11. Factor -6/7 - 10/7*m - 2/7*m**l + 2/7*m**3.
2*(m - 3)*(m + 1)**2/7
Let j(y) be the second derivative of 65*y**4/21 - 244*y**3/7 + 144*y**2 - 4*y - 97. Factor j(k).
4*(5*k - 12)*(13*k - 42)/7
Let f(h) be the second derivative of 0*h**3 + 7/150*h**5 + 0*h**2 + 1/315*h**7 + 1/30*h**4 + h + 1/45*h**6 - 150. Factor f(g).
2*g**2*(g + 1)**2*(g + 3)/15
Let h(b) be the first derivative of 2/3*b**3 + 6*b**2 - 1 + 1/36*b**4 + 5*b. Let x(a) be the first derivative of h(a). Solve x(c) = 0 for c.
-6
Let g(y) = -3*y + 9. Let t be (2 + 3)*20/25. Suppose -4*n = -q + 3, 5*n + 5*q + 31 = -t. Let u(o) = o**2 + 3*o - 8. Let b(h) = n*g(h) - 3*u(h). Factor b(d).
-3*(d - 1)*(d + 2)
Let w(q) = 3*q**2 - 15*q - 8. Let c be 0 - (-3 - 12)/1. Let u be (-1*3/(-5))/((-3)/c). Let g(j) = 3*j**2 - 14*j - 7. Let x(d) = u*w(d) + 4*g(d). Factor x(y).
(y - 4)*(3*y + 1)
Let i = 38670634/35448061 + -2/3222551. Let t = 5 - 3. Factor -2/11*l**t + 0 - i*l.
-2*l*(l + 6)/11
Suppose 5*h = 308 - 268. Let h + 14*y**3 - 10*y - 15*y - 14*y**2 - 4*y**3 + 9*y = 0. Calculate y.
-1, 2/5, 2
Suppose 5*c = 5*z - 15, 1313*c + 5*z = 1312*c + 33. Factor 31/4*x - 5/8*x**2 - c.
-(x - 12)*(5*x - 2)/8
Let c(k) = -k**2 + 22*k + 37. Let b(j) = 14*j - 8*j - 5*j - 12 - 9*j. Let a(y) = 7*b(y) + 2*c(y). What is g in a(g) = 0?
-5, -1
Suppose 3*r - 163 = y, r = -12*y + 16*y + 47. Factor -35*u**3 + 15 - 5*u**4 + 20*u**3 + 5*u**5 - r*u - 15*u**3 + 70*u**2.
5*(u - 1)**4*(u + 3)
Let u(w) = w**3 - 314*w**2 + 308*w + 590. Let f(c) = 5*c**3 - 950*c**2 + 925*c + 1770. Let t(x) = -3*f(x) + 10*u(x). Solve t(b) = 0.
-59, -1, 2
Let b(y) be the first derivative of -4*y**3/9 - 2347*y**2/3 - 782*y - 380. Determine s, given that b(s) = 0.
-1173, -1/2
Let n(v) be the second derivative of -2*v**6/15 + 223*v**5/5 + 226*v**4 + 8*v**3/3 - 1808*v**2 + 210*v - 11. Determine z so that n(z) = 0.
-2, 1, 226
Suppose -39/5*c**4 + 171/5*c**3 - 309/5*c**2 + 246/5*c + 3/5*c**5 - 72/5 = 0. Calculate c.
1, 4, 6
Let s(z) be the second derivative of -5/6*z**3 + 5 - 1/2*z**4 - 1/120*z**6 + 0*z**2 - 9/80*z**5 + 2*z. Factor s(d).
-d*(d + 2)**2*(d + 5)/4
Let m(s) be the first derivative of 6/11*s**3 + 0*s - 1/22*s**4 - 20/11*s**2 - 95. Factor m(o).
-2*o*(o - 5)*(o - 4)/11
Find x such that 340/7*x**3 + 4/21*x**5 - 38/7*x**4 - 2000/7*x - 2200/21*x**2 + 0 = 0.
-3/2, 0, 10
Let f(x) be the third derivative of x**5/240 + 217*x**4/96 - 43*x**2 - 2*x + 4. Let f(g) = 0. Calculate g.
-217, 0
Let t(w) = -20*w**2 + 3126*w + 6304. Let v(c) = -4*c**2 + 625*c + 1260. Let p(d) = -3*t(d) + 14*v(d). Factor p(s).
4*(s - 159)*(s + 2)
Let g be (1/12)/(20/80). Let y(x) be the first derivative of -x**2 - g*x**4 + 1 - 2*x**3 + 8/3*x. Factor y(l).
-2*(l + 1)*(l + 4)*(2*l - 1)/3
Suppose -149*a + 148*a - 2*w + 20 = 0, a = 5*w + 6. Let y be (5 - -2) + (12 - a). Find b, given that 3*b - 18/5 - y*b**3 + 3/5*b**4 + 3*b**2 = 0.
-1, 1, 2, 3
Let z be 30/8 + (117/(-12))/13. Let 114*k**3 + 16464 + 21168*k - 532*k**3 + 117*k**4 - 3*k**5 - 566*k**z - 408*k**3 + 3192*k**2 = 0. What is k?
-2, -1, 14
Let q(x) be the second derivative of x**4/36 - 41*x**3/6 - 2*x - 57. Factor q(v).
v*(v - 123)/3
Let t = -1131938 + 2263879/2. Suppose -3*l + t*l**2 - 4 + 1/2*l**3 = 0. Calculate l.
-4, -1, 2
Suppose -20 = 2*w - 4*w. Suppose -7 - w - 4*x**2 + 16*x - 3 + 8 = 0. Calculate x.
1, 3
Suppose 0 = -2*v - 3*j - 58 + 85, -5*v - 6 = -3*j. Solve -4*b**2 + 10/11*b**4 + 16/11 - 46/11*b**v + 56/11*b + 8/11*b**5 = 0 for b.
-2, -1/4, 1, 2
Factor -86*k**4 - 6*k**3 - 18*k**2 - 2*k**2 + 53*k**2 - 15*k**2 + 76*k**4 + 14*k.
-2*k*(k + 1)**2*(5*k - 7)
Let r(j) be the second derivative of j**4/36 + 154*j**3/9 + 11858*j**2/3 + 1213*j. Find x, given that r(x) = 0.
-154
Factor 63/8*t + 3/8*t**2 - 735/4.
3*(t - 14)*(t + 35)/8
Factor -17/3*o**3 - 14*o**2 + 40 + 239/3*o.
-(o - 3)*(o + 5)*(17*o + 8)/3
Let o(a) = a**2 - 4*a + 5. Let c be o(1). What is u in -35*u + 20 + 7*u + 5*u**c - 125 + 8*u = 0?
-3, 7
Let b(t) be the second derivative of t**6/96 + t**5/120 - 5*t**4/96 - t**3/12 - 8*t**2 + 2*t. Let r(c) be the first derivative of b(c). Factor r(z).
(z - 1)*(z + 1)*(5*z + 2)/4
Let y = 13607 - 13602. Let m(d) be the third derivative of 0*d + 0*d**3 - 27*d**2 - 1/1260*d**7 - 1/180*d**y + 0 + 0*d**4 + 1/240*d**6. Factor m(c).
-c**2*(c - 2)*(c - 1)/6
Determine y, given that -5/2 - 23/4*y + 5/2*y**4 + 13/2*y**3 - 3/4*y**5 + 0*y**2 = 0.
-1, -2/3, 1, 5
Suppose 5*r = 25, -5*r - 213 = 4*m + 122. Let a = -87 - m. Find c, given that -2/3*c**4 + 8/3*c**2 + 0*c - 8/3*c**a + 0 + 2/3*c**5 = 0.
-2, 0, 1, 2
Factor 1/11*y**3 + 114/11*y**2 + 4900/11 + 1449/11*y.
(y + 7)**2*(y + 100)/11
Let n(u) be the third derivative of -u**5/300 - 3*u**4/8 - 22*u**3/15 + 5*u**2 + 51. Find v, given that n(v) = 0.
-44, -1
Let o(i) be the third derivative of -49/900*i**6 + 68/45*i**3 + i**2 + 161/90*i**5 + 118/45*i**4 + 0 - 93*i. Determine w, given that o(w) = 0.
-2/7, 17
Let r = 685163/7 + -97661. Factor 3/7 - r*i**3 - 72/7*i + 576/7*i**2.
-3*(8*i - 1)**3/7
Let t(c) = 5*c - 122. Let s be t(28). Let i(x) be the second derivative of s*x + 