 1)/11
Let 9*n**2 + 2*n**3 + n**4 + 7*n**3 - 2*n**2 - 4*n**3 + 2*n + n = 0. What is n?
-3, -1, 0
Let i(d) = d**2 + 10*d - 72. Let j be i(-15). Determine l so that 5/2*l**4 - 4*l + 3*l**j + 0 - 2*l**2 + 1/2*l**5 = 0.
-2, 0, 1
Determine u, given that -12 + 4*u**3 - 24*u + 3*u**4 + 4*u**3 + 2*u**3 - 4*u**3 - 9*u**2 = 0.
-2, -1, 2
Let j(c) be the third derivative of -2*c**7/945 - 2*c**6/45 - 46*c**5/135 - 10*c**4/9 - 50*c**3/27 - 146*c**2 + 2*c. What is x in j(x) = 0?
-5, -1
Let c be 3936/14 + 5/(-35). Let g = -281 + c. Factor g + 1/3*f**5 + 1/3*f**3 - f**2 + f**4 - 2/3*f.
f*(f - 1)*(f + 1)**2*(f + 2)/3
Let g(z) be the third derivative of z**7/210 - z**6/12 + 13*z**5/60 + 5*z**4/2 + 6*z**3 - 166*z**2. Factor g(q).
(q - 6)**2*(q + 1)**2
Let y(j) be the second derivative of 12*j + 0 + 0*j**3 - 1/3*j**4 + 2*j**2. Factor y(n).
-4*(n - 1)*(n + 1)
Let x(i) be the third derivative of 0*i + 0 + 11*i**2 + 0*i**4 + 1/180*i**5 - 2/9*i**3. Factor x(l).
(l - 2)*(l + 2)/3
Let v(s) be the second derivative of s + 1/2*s**2 + 0 + 1/24*s**4 + 1/4*s**3. Factor v(h).
(h + 1)*(h + 2)/2
Let g(d) be the first derivative of -d**4/2 - 38*d**3/3 - 112*d**2 - 384*d + 64. Let g(b) = 0. What is b?
-8, -3
Let b = -91 + 274/3. Factor -5/3*m - b*m**5 + 1 - 2/3*m**2 + 2*m**3 - 1/3*m**4.
-(m - 1)**3*(m + 1)*(m + 3)/3
Let w(u) be the third derivative of -u**8/336 + 3*u**7/70 + u**6/120 - 3*u**5/20 - u**2 - 29*u. Suppose w(t) = 0. What is t?
-1, 0, 1, 9
Let t = 335 - 333. Let g(b) be the second derivative of -7*b + 0*b**3 + 0 - b**t + 1/6*b**4. Find n, given that g(n) = 0.
-1, 1
Let a(p) be the third derivative of -p**6/300 + 3*p**5/50 - p**4/4 - 5*p**3/3 - 457*p**2. Find z such that a(z) = 0.
-1, 5
Suppose -20*w + 19*w = 12. Let p be w*(-3 - 2 - (-847)/176). What is n in 1/4*n**3 + p + 15/4*n + 7/4*n**2 = 0?
-3, -1
Suppose -5*u - 440 = -10*u - 5*b, -2*u - 3*b = -181. Let g = -1077/13 + u. Let g*v**2 - 18/13*v + 18/13*v**4 + 42/13*v**3 + 4/13 = 0. Calculate v.
-2, -1, 1/3
Suppose -262 = 2*h + w - 0*w, 0 = -2*h + w - 258. Let m = -127 - h. Factor 0*i + 2/5 - 6/5*i**4 - 16/5*i**m - 12/5*i**2.
-2*(i + 1)**3*(3*i - 1)/5
Let m be ((0 + 3)*91/78)/(8 + -1). Factor 1/2 - 1/2*q**2 - 1/2*q**3 + m*q.
-(q - 1)*(q + 1)**2/2
Let 7*l + 1/3*l**3 + 10/3 + 4*l**2 = 0. What is l?
-10, -1
Suppose -12*x + 17*x - 15 = -3*s, 5*s + 3 = x. Let b(f) be the second derivative of -1/90*f**4 + 1/45*f**x - 12*f + 2/15*f**2 + 0. Determine j so that b(j) = 0.
-1, 2
Let u(i) = -2*i**2 - i + 3. Let l be u(1). Determine z so that l*z**3 - 3*z - 5*z**3 + 10*z**2 + 4*z - 6*z = 0.
0, 1
Let x be (-10)/(-4) - 4/8. Suppose -2*a + 134 = 2*b + 128, b - 5*a + 15 = 0. Suppose 16/3*l**2 + 2*l + b - x*l**3 = 0. Calculate l.
-1/3, 0, 3
Factor -9 + 15/4*b - 1/4*b**2.
-(b - 12)*(b - 3)/4
Suppose -3 = 11*k - 12*k. Let c(j) be the first derivative of -k + 16/33*j**3 + 2/55*j**5 + 5/22*j**4 + 4/11*j**2 + 0*j. Find t such that c(t) = 0.
-2, -1, 0
Let z = 5/521 + 496/2605. Solve 1/5*t**3 + z*t + 0 - 2/5*t**2 = 0 for t.
0, 1
Let n(m) be the second derivative of -7*m**5/40 + 43*m**4/72 - 23*m**3/36 + m**2/12 - 63*m. Factor n(u).
-(u - 1)**2*(21*u - 1)/6
Let l(a) be the first derivative of a**7/210 - a**6/90 - a**5/30 + a**4/6 - 5*a**3/3 - 40. Let p(x) be the third derivative of l(x). Factor p(h).
4*(h - 1)**2*(h + 1)
Let y(i) be the second derivative of i**4/18 - 5*i**3/3 + 18*i**2 + 572*i. Factor y(x).
2*(x - 9)*(x - 6)/3
Let x(n) be the second derivative of n**8/23520 - n**7/2940 + n**5/105 + n**4/6 - 11*n. Let a(m) be the third derivative of x(m). Factor a(u).
2*(u - 2)**2*(u + 1)/7
Suppose d + 5*y - 4 = 24, -d + 13 = 2*y. Factor 5*a + 0*a**2 - 7 - 14*a + 1 - d*a**2.
-3*(a + 1)*(a + 2)
Suppose -31*u - 44 = -106. Factor 49/2 + 1/2*v**u + 7*v.
(v + 7)**2/2
Let h(y) be the first derivative of 0*y + 2*y**3 + 2/5*y**5 + 4 + 3/2*y**4 + y**2. Determine k, given that h(k) = 0.
-1, 0
Let q = 106 + -102. Determine t, given that 48 + 250*t**5 + 2*t**2 - 200*t**q - 230*t**3 + 74*t**2 - 32 + 88*t = 0.
-2/5, 1
Suppose -4*w - 4*g - 17 = -3*w, -2*w - 39 = 3*g. Let z be ((-12)/(-5))/(-6) - w/40. Solve -1/8*x**2 - 1/8*x**5 + 1/8*x**3 + z*x**4 + 0*x + 0 = 0 for x.
-1, 0, 1
Let v(k) be the third derivative of 1/10*k**6 + 0*k + 1/70*k**7 + 1/2*k**4 + 0 + 3/10*k**5 - 2*k**2 + 1/2*k**3. Factor v(g).
3*(g + 1)**4
Let f = 46 + -47. Let t be f/3 - (-5)/15. Factor 0 + 2/7*a**2 + t*a.
2*a**2/7
Let i be (126/(-15) - -9)/(4/5). Let a(b) be the first derivative of 3/5*b**5 - b**3 - 5 + i*b**4 + 0*b - 3/2*b**2. Find h such that a(h) = 0.
-1, 0, 1
Solve -572*x**2 + 96*x**3 - 1149*x - 4*x**4 + 556*x + 497*x + 576 = 0.
-1, 1, 12
Let g(x) be the second derivative of 29*x - 3*x**3 + 12*x**2 + 1/4*x**4 + 0. Factor g(p).
3*(p - 4)*(p - 2)
Suppose -168*f + 71 + 433 = 0. Let -2/13*n**2 + 10/13*n + 2/13 - 10/13*n**f = 0. Calculate n.
-1, -1/5, 1
Let w(a) = a**3 + 21*a**2 - 43*a - 3. Let j(h) = -6*h**3 - 104*h**2 + 216*h + 16. Let r(p) = -3*j(p) - 16*w(p). Find d, given that r(d) = 0.
0, 2, 10
Let s(h) be the third derivative of -h**8/1176 - 89*h**7/735 - 506*h**6/105 - 968*h**5/105 + 848*h**2. Factor s(t).
-2*t**2*(t + 1)*(t + 44)**2/7
Let n be -1 - (8/(-14) - 9/21). Let o(y) be the first derivative of n*y - 1 - y**2 - 1/3*y**3. Factor o(f).
-f*(f + 2)
Suppose -772*n - 16 = -776*n. Let h(d) be the first derivative of 12/5*d**5 + 0*d - 7/2*d**n + 0*d**2 + 4/3*d**3 - 4. Find l, given that h(l) = 0.
0, 1/2, 2/3
Let q be ((-27)/(7425/88))/((-4)/10). Let -8/5*m**4 + 0*m**3 + 8/5*m**2 + 0 + 4/5*m**5 - q*m = 0. Calculate m.
-1, 0, 1
Let j be ((-342)/4446)/(30/(-36) + 2/6). Find r, given that 8/13*r**2 - j*r**3 + 0 + 10/13*r = 0.
-1, 0, 5
Let y(n) be the second derivative of -n**4/66 + 20*n**3/11 + 61*n**2/11 - 272*n. Factor y(t).
-2*(t - 61)*(t + 1)/11
Let g(o) be the second derivative of 0*o**3 + 0 + 29*o + 1/5*o**2 - 1/30*o**4. Determine v, given that g(v) = 0.
-1, 1
Let w(p) be the first derivative of 162*p**6 + 3618*p**5/5 - 276*p**4 - 88*p**3/3 + 16*p**2 + 206. Determine q, given that w(q) = 0.
-4, -1/6, 0, 2/9
Let g be (6/88)/(258/473). Let 0 + g*y**2 - 1/8*y**3 + 1/4*y = 0. What is y?
-1, 0, 2
Let f(c) = -42*c - 164. Let q be f(-4). Let o(z) be the second derivative of 0*z**2 - 1/6*z**3 + 7/60*z**6 + 0 + 11/24*z**q + 8*z - 2/5*z**5. Factor o(m).
m*(m - 1)**2*(7*m - 2)/2
Let h(z) be the first derivative of -z**4/2 + 70*z**3/3 + 73*z**2 + 74*z - 162. Factor h(q).
-2*(q - 37)*(q + 1)**2
Let g be 717/294 + (-3)/6. Let w = 15965/147 - g. Suppose -16*p**5 - 64*p**2 - 64/3 + 272/3*p**3 - w*p + 52/3*p**4 = 0. Calculate p.
-2, -2/3, -1/4, 2
Let u(y) be the first derivative of -1/20*y**4 - 1/5*y**3 + 2/5*y + 1/10*y**2 + 1/25*y**5 - 14. Factor u(l).
(l - 2)*(l - 1)*(l + 1)**2/5
Let k = -2/1135 + 3421/9080. Let x(y) be the second derivative of 0*y**2 - 3/40*y**5 - y - k*y**4 - 1/2*y**3 + 0. Factor x(a).
-3*a*(a + 1)*(a + 2)/2
Factor -248*n**3 - 14872/7*n**2 - 7*n**4 + 8928/7*n - 1296/7.
-(n + 18)**2*(7*n - 2)**2/7
Let v = 2911/7465 + 15/1493. Factor -4/5 + 2/5*o + v*o**2.
2*(o - 1)*(o + 2)/5
Let p(c) be the third derivative of -1/140*c**7 + 0*c**4 + 0*c**5 + 17*c**2 + 0*c + 1/224*c**8 + 0*c**6 + 0 + 0*c**3. Let p(s) = 0. Calculate s.
0, 1
Let g(q) be the first derivative of q**5/20 - 5*q**4/48 + q**3/24 + 8*q + 8. Let n(l) be the first derivative of g(l). Factor n(a).
a*(a - 1)*(4*a - 1)/4
Let v(w) = -w**2 - 1. Suppose 6*r = -2*k + 2*r + 14, -5*r = -3*k + 10. Let n(g) = 4*g**2 - 2*g + 4. Let c = 83 + -82. Let b(l) = c*n(l) + k*v(l). Factor b(y).
-(y + 1)**2
Let o(v) = v**4 + 5*v**3 + 58*v**2 + 174*v + 75. Let x(z) = -2*z**3 - 30*z**2 - 84*z - 38. Let d(t) = 4*o(t) + 10*x(t). Factor d(y).
4*(y - 5)*(y + 1)*(y + 2)**2
Let q be (-2)/(40/(-1807)) - (-1)/4. Let d = -5849/65 + q. Suppose d - 8/13*s + 2/13*s**2 = 0. Calculate s.
2
Let b(g) = -g**2 + 1. Let p(i) = -4*i**4 - 4*i**3 + 16*i**2 + 4*i - 12. Suppose -k + 7 = c, -c + 2 - 11 = -3*k. Let r(v) = k*b(v) + p(v). Solve r(h) = 0.
-2, -1, 1
Let q(s) = s - 1. Let a(x) = 2*x - 4. Let o(c) = -a(c) + 4*q(c). Let h be o(1). Factor -v + 3*v + 0*v**3 - h*v**3.
-2*v*(v - 1)*(v + 1)
Let k = 328/5 - 14762/225. Let f = 178/225 - k. Factor -6/5*l - 2/5*l**2 - f.
-2*(l + 1)*(l + 2)/5
Let n be 50/26 + 50/650. Let q(m) be the first derivative of m**3 + n 