**y - 6*l - 25*l**5 + 0 - 21/2*l**3 - 255/4*l**4 = 0.
-2, -6/5, 0, 1/4, 2/5
Let a(u) = -11*u**2 - 7110*u - 8. Let d(t) = 15*t**2 + 7115*t + 10. Let j(g) = 5*a(g) + 4*d(g). Let j(l) = 0. What is l?
0, 1418
Let f(a) = a**2 + 2*a - 33. Let r be f(5). Factor 139*x - 298*x + 3*x**r + 189*x.
3*x*(x + 10)
Suppose 0 = 153*o - 160*o + 21. Let g(k) = -4*k**2 - 6*k - 2. Let h(r) = -r**2 + 1. Let f(b) = o*h(b) - g(b). Factor f(s).
(s + 1)*(s + 5)
Suppose 18*l + 72 = -198. Let t be (l/(-9))/(7/(-105)*-3). Factor 40/3*k - 16/3 - t*k**2 + 1/3*k**5 - 5/3*k**3 + 5/3*k**4.
(k - 1)**3*(k + 4)**2/3
Let u(f) = 6*f**3 - 2*f**2 + 7*f - 8. Let c(y) = 7*y**3 - y**2 + 7*y - 8. Let l(t) = 5*c(t) - 6*u(t). Let w be l(6). Factor 8 + x**w + 14 - 25 - 2*x.
(x - 3)*(x + 1)
Let h(q) = 7*q**3 + 36*q**2 - 111*q - 370. Let z(n) = 4*n**3 + 19*n**2 - 55*n - 190. Let k(b) = 6*h(b) - 10*z(b). Factor k(j).
2*(j - 5)*(j + 2)*(j + 16)
Let g(c) be the first derivative of 2*c**5/5 - 3*c**4 - 70*c**3 - 98*c**2 + 8347. Determine b, given that g(b) = 0.
-7, -1, 0, 14
Let w(f) be the first derivative of 11/2*f**2 + 0*f + 2*f**3 - 1/20*f**5 + 1/2*f**4 + 21 - 1/40*f**6. Let c(g) be the second derivative of w(g). Factor c(n).
-3*(n - 2)*(n + 1)*(n + 2)
Suppose -152*l = -136*l - 448. Let r(u) = 17*u - 476. Let p be r(l). Determine v, given that 1/2*v**4 - 2*v**2 + 0*v**3 + p + 0*v = 0.
-2, 0, 2
Let x be (-3)/(4*(-9)/24). Factor 7*w - 2*w**x - 11*w - 3*w**2 + 20 - 11*w.
-5*(w - 1)*(w + 4)
Let u(d) = 6*d - 5*d - 3*d - 4 + 0*d. Let h be u(-4). Factor 4*o**2 + 0*o**2 + o**4 - 3*o**3 + 2*o**2 - h*o**2.
o**2*(o - 2)*(o - 1)
Let o = -134 - -137. Suppose -36*g**2 + 15 - 4*g**4 - 30*g**3 + 2*g**4 + 9*g**5 - 9 + 8*g**4 - o*g = 0. Calculate g.
-1, 1/3, 2
Suppose -59*y = 1411 - 1942. Solve -y + 15/2*q + 3/2*q**2 = 0 for q.
-6, 1
Suppose 33*p - 32 = 133. Let a(r) be the first derivative of 0*r**2 + 0*r + 2/21*r**6 - 1/7*r**4 - p + 2/35*r**5 - 2/21*r**3. Suppose a(w) = 0. Calculate w.
-1, -1/2, 0, 1
Let h = 652 + 257. Let s = -899 + h. Determine d, given that s*d**2 + 2/3*d**4 - 26/3*d + 8/3 - 14/3*d**3 = 0.
1, 4
Let u(p) be the third derivative of -2*p**2 + 1/25*p**5 - 1/525*p**7 - 2/15*p**4 + 1/5*p**3 + 0*p**6 + 0*p + 31. Determine z, given that u(z) = 0.
-3, 1
Let x(p) be the first derivative of 2*p**3/21 + 3720*p**2/7 + 6919200*p/7 - 2010. Let x(h) = 0. What is h?
-1860
Let v(w) = -2*w**4 - 583*w**3 + 1785*w**2 - 23*w - 2374. Let q(x) = 25*x**4 + 7580*x**3 - 23205*x**2 + 300*x + 30860. Let y(o) = -3*q(o) - 40*v(o). Factor y(l).
5*(l - 2)**2*(l + 1)*(l + 119)
Suppose 4*p - u = 3*u + 76, 3*u - 69 = -4*p. Suppose 0 = 6*c - p. Factor 11*q**3 + 14*q**4 + 6*q**5 + 40*q**2 - q**c + 26*q**3 - 4*q**5 + 16*q.
2*q*(q + 1)*(q + 2)**3
Let b(w) = -7*w**2 - 29*w - 17. Suppose -18*y + 0 = -54. Let d(n) = -4*n**2 - 15*n - 8. Let c(i) = y*b(i) - 5*d(i). Solve c(g) = 0 for g.
-11, -1
Let h be (-2)/(-2) - 5*(-7)/(-35). Let f be (4/9)/(90/81 + h). Find n such that -2/5*n**2 + 0 + 4/5*n**3 - f*n**4 + 0*n = 0.
0, 1
Let k = -100157/2 + 50079. Factor 9*i - k*i**4 + 0 - 4*i**3 + 11/2*i**2.
-i*(i - 2)*(i + 1)*(i + 9)/2
Let y(q) be the second derivative of -7*q**4/6 - 908*q**3/3 + 260*q**2 + 8*q - 32. Factor y(m).
-2*(m + 130)*(7*m - 2)
Let r be ((-1456)/32 + 47)/((-6)/4)*-5. Solve 0 + 0*p - 16/3*p**3 + 8/3*p**2 - 2/3*p**r + 10/3*p**4 = 0 for p.
0, 1, 2
Factor 1948*r + 474338 + 4*r**2 - 3*r**2 - 10*r**2 + 8*r**2 + 3*r**2.
2*(r + 487)**2
Let f = 1082/267 + -1897/534. Factor -f*r**2 + 14 - 6*r.
-(r - 2)*(r + 14)/2
Suppose -1/4*g**3 + 1/4*g - 143/2*g**2 + 143/2 = 0. What is g?
-286, -1, 1
Let a be (-13 + 9750/840)/(3/(-104)). Factor -50/7*b**2 + 2/7*b**3 + a + 286/7*b.
2*(b - 13)**2*(b + 1)/7
Suppose 4*o - 24*o = 180. Let z be (0/7)/(o - -3). Factor z + 6*x**2 + 24/5*x**3 + 6/5*x.
6*x*(x + 1)*(4*x + 1)/5
Let j be (-4)/(-34) + (-3366)/(-867). Let z(l) be the first derivative of 98*l + 10*l**3 + 1/2*l**j + 63*l**2 - 43. Solve z(q) = 0.
-7, -1
Let v = -16 + 14. Let y be 135/63 - v/(-14). Suppose -4*u**2 - 2*u**y - 5*u + 8*u**2 - u**2 = 0. What is u?
0, 5
Let d(z) be the third derivative of 5*z**8/336 - 31*z**7/42 + 9*z**6/8 + 95*z**5/12 - 95*z**4/3 + 50*z**3 - z**2 - 90*z. Let d(v) = 0. What is v?
-2, 1, 30
Factor 2/9*y + 10/9 - 8/9*y**2.
-2*(y + 1)*(4*y - 5)/9
Let d = -69 + 72. Factor -5*p**d + 62*p**2 + 42*p**2 + 24*p**2 - 125*p + 2*p**2.
-5*p*(p - 25)*(p - 1)
Suppose -10*x - 6*x - 16 = -24*x. Let h(a) be the second derivative of 17*a + 1/3*a**4 + 0*a**3 + 0 - 2*a**x. Let h(m) = 0. What is m?
-1, 1
Let t = 328782 - 328780. Factor -3*s + 1/8*s**3 - 1/4*s**t + 0.
s*(s - 6)*(s + 4)/8
Let t(d) = -d**3 - 11*d**2 + 9*d - 25. Let m be t(-12). Let a(q) = -3*q**2 - 1. Let o(r) = 8 - r + 9 - 25 + 4 - 8*r**2. Let x(y) = m*a(y) - 4*o(y). Factor x(h).
-(h - 5)*(h + 1)
Let x(z) be the first derivative of z**6/6 - 106*z**5/5 + 103*z**4 - 136*z**3 + 2333. Find i such that x(i) = 0.
0, 2, 102
Let v = 31 + -44. Let q be (-16 - v)/(3*2/(-16)). Factor -6*j**2 + 2*j**2 + 0*j - 3*j + q - j.
-4*(j - 1)*(j + 2)
Let f be 28 - 4900/5750*23. Factor 2/5*j**4 - f + 124/5*j - 24*j**2 + 36/5*j**3.
2*(j - 1)**3*(j + 21)/5
Let m(r) be the first derivative of r**6/21 - 22*r**5/35 + 4*r**4/7 + 40*r**3/21 + 10118. What is t in m(t) = 0?
-1, 0, 2, 10
Let g = 35688 - 14857. Let 11388*f**2 - 7632*f**3 + 73*f**4 + 251*f**4 + g*f**2 + 2304 - 18710*f**2 + 20352*f + 29707*f**2 = 0. What is f?
-2/9, 12
Let q = 2136153/214 + -9982. Let l = q + 2971/1070. Let l*x**4 - 1/5*x + 2/5*x**2 + 12/5*x**3 + x**5 + 0 = 0. What is x?
-1, 0, 1/5
Let u = -1/22935 + 30583/68805. Suppose 3*l = 8*l. Determine p, given that 0 + l*p - u*p**2 = 0.
0
Suppose 223*d - 64*d = 636. Let t(k) be the second derivative of 0*k**2 - 1/12*k**d + 0 - 34*k + 1/3*k**3. Factor t(h).
-h*(h - 2)
Suppose -21627 = 60*k + 6933. Let x = 3336/7 + k. Factor -2/7*r**2 + 0 + 2/7*r**4 + x*r - 4/7*r**3.
2*r*(r - 2)*(r - 1)*(r + 1)/7
Let x(z) = -5041*z**2 + 144*z + 1. Let d = 450 - 454. Let k(v) = -15123*v**2 + 433*v + 4. Let r(s) = d*k(s) + 14*x(s). Find j such that r(j) = 0.
1/71
Let w be (4 + -5 + (-407)/(-385))/(8/28). Let i(k) be the first derivative of 16/5*k + 0*k**2 - 4/5*k**3 - w*k**4 + 16. Factor i(p).
-4*(p - 1)*(p + 2)**2/5
Let a(b) = -42*b**3 + 570*b**2 - 1132*b - 1679. Let k(w) = -13*w**3 + 190*w**2 - 377*w - 560. Let u(g) = 4*a(g) - 13*k(g). Factor u(q).
(q - 188)*(q - 3)*(q + 1)
Suppose 846 = 43*h + 717. Let j(z) be the first derivative of 1/3*z**3 + 21 + 5*z + h*z**2. Let j(f) = 0. Calculate f.
-5, -1
Let i = -95387 + 95389. Suppose -112 + 108/7*s**i + 96*s + 4/7*s**3 = 0. Calculate s.
-14, 1
Let o(y) be the second derivative of y**5/60 - y**4/36 - 5*y**3/3 + 634*y. Factor o(x).
x*(x - 6)*(x + 5)/3
Suppose -5*m = -2*t - 72, -23 + 111 = -4*t - 4*m. Let p = 28 + t. Determine s so that -4*s**2 - 2*s**2 + 5*s**p + 2*s = 0.
0, 2
Let c be ((-31)/((-3534)/(-95)) - 1/6)*-2. Factor 10/19*r**3 - 16/19 - 8/19*r + 2/19*r**4 + 12/19*r**c.
2*(r - 1)*(r + 2)**3/19
Suppose 5*o + 3*z = -20, -5*o - 7 - 23 = 5*z. Let h be o/(11/12 + -1). Determine t so that h + 2*t + 2*t**3 - 8*t**2 + 18 - 18 = 0.
-1, 2, 3
Let q = 421 - 391. Suppose -5*m + q*m = 0. Suppose -2*o**3 + 2*o - 2/3*o**4 + m + 2/3*o**2 = 0. What is o?
-3, -1, 0, 1
Suppose 58*d**2 + 55*d**2 + 70*d**2 + 60*d**2 - 239*d**2 - 16*d = 0. What is d?
0, 4
Let r(h) = 8*h**3 + 832*h**2 - 508*h - 342. Let f(i) = -23*i**3 - 2495*i**2 + 1524*i + 1029. Let y(m) = -2*f(m) - 7*r(m). Factor y(n).
-2*(n - 1)*(n + 84)*(5*n + 2)
Let q(g) = -3*g**4 - 64*g**3 + 539*g**2 - 692*g - 1324. Let v(a) = -3*a**4 - 65*a**3 + 538*a**2 - 691*a - 1331. Let n(d) = -5*q(d) + 4*v(d). Factor n(f).
3*(f - 4)**2*(f + 1)*(f + 27)
Suppose 0 = 5*z + m + 3, 0*m + 3*m + 9 = 0. Suppose z = -0*i - 2*i + 22. Solve -2*k + 9*k**3 - 23*k**3 + 5*k**4 - 10*k**2 - i*k**4 + 0*k = 0.
-1, -1/3, 0
Let t(y) be the second derivative of y**6/45 - 91*y**5/3 - 1823*y**4/18 - 304*y**3/3 + 1477*y. Factor t(p).
2*p*(p - 912)*(p + 1)**2/3
Let c(t) be the second derivative of t**6/120 + 153*t**5/40 + 8103*t**4/16 + 11475*t**3/2 + 50625*t**2/2 + 223*t. Let c(p) = 0. What is p?
-150, -3
Suppose 13 = -d - 5*h, -4*d = 5*h + 2 + 5. Factor -28 + 9 - 21 - 2*o**d + 76 + 14*o.
-2*(o - 9)*(o + 2)
Let r(n) = n**2 - n. Let a(x) = -125*x**2 + 18