a**2 + 132*a**3 + 5*a - n*a + 11*a - 4 - 36*a**4 - 20*a - 47*a**2 = 0.
-1/6, 2
Let y(f) be the second derivative of f**8/3024 - f**6/540 + f**4/216 - 18*f**2 - f - 28. Let k(l) be the first derivative of y(l). Factor k(d).
d*(d - 1)**2*(d + 1)**2/9
Let f(y) be the second derivative of 5/48*y**4 + 0*y**3 + 0 + 1/80*y**5 - 58*y + 0*y**2. Suppose f(c) = 0. What is c?
-5, 0
Let l(i) be the first derivative of -26/3*i**2 - 25 - 338/3*i - 2/9*i**3. Factor l(p).
-2*(p + 13)**2/3
Suppose 14395*x + 142 = 14466*x. Factor -x - 2/5*c**3 + 2/5*c + 2*c**2.
-2*(c - 5)*(c - 1)*(c + 1)/5
Let h(q) be the second derivative of 3/32*q**4 - 41/16*q**3 + 1 - 7*q - 21/8*q**2. Solve h(w) = 0.
-1/3, 14
Let a(p) be the first derivative of -217*p**5/2 + 3253*p**4/8 - 1083*p**3/2 + 1079*p**2/4 + p + 3037. Determine h so that a(h) = 0.
-2/1085, 1
Let g(m) be the third derivative of m**3 - 1/3*m**4 + 165*m**2 + 1/30*m**5 + 0*m + 0. Solve g(r) = 0.
1, 3
Suppose -1176798 + 26814 = -12*u. Let q be (-40)/75*u/(-96). Determine t, given that 2/5*t**3 - q + 726/5*t - 66/5*t**2 = 0.
11
Factor 28/3 + 3*w**3 + 82*w**2 - 167/3*w.
(w + 28)*(3*w - 1)**2/3
Let s(o) be the third derivative of o**5/300 - o**4/120 - 12*o**3/5 - 726*o**2. Suppose s(m) = 0. Calculate m.
-8, 9
Let h = 715/3 + -220. Let l = h - 53/3. Factor -2/3*n**4 + l*n**2 + 0*n**3 + 0*n + 0.
-2*n**2*(n - 1)*(n + 1)/3
Let u(j) = j**3 + 46*j**2 + 306*j + 19. Let p be u(-8). Let -i**4 + 2/3*i**p - 1 - 1/3*i**5 - 1/3*i + 2*i**2 = 0. What is i?
-3, -1, 1
Let l(c) be the first derivative of -c**4/44 - 4*c**3/33 + c**2/2 - 6*c/11 + 1192. Factor l(y).
-(y - 1)**2*(y + 6)/11
Let j = -463 - -435. Let h be 3 + 4*19/j. Factor 2/21*l**3 - 2/7 - 2/21*l + h*l**2.
2*(l - 1)*(l + 1)*(l + 3)/21
Let b = -1357 - -1365. Let s(p) be the first derivative of -14 + 14*p**2 - b*p + 5*p**4 - 4/5*p**5 - 12*p**3. What is h in s(h) = 0?
1, 2
Let d = 13 - 12. Let j be (d - -8) + -2 + -2 + 0. Factor 20*t**2 - 10*t**2 - 5*t**2 - 5*t**3 - 7*t**4 + 5*t**j + 2*t**4.
5*t**2*(t - 1)**2*(t + 1)
Suppose 31 - 7 = g. Suppose -5*r - 3*r + g = 0. Let -9 - 25*j - 15 - 5*j**r + 34 + 20*j**2 = 0. Calculate j.
1, 2
Let j(s) be the first derivative of s**4/28 + 13*s**3/3 + 2115*s**2/14 + 2025*s/7 + 501. Solve j(t) = 0.
-45, -1
Factor 53*n - 211/4 - 1/4*n**2.
-(n - 211)*(n - 1)/4
Let b(k) be the third derivative of -k**6/120 + k**4/12 - k**3/3 + 5*k**2 + 11*k. Let x be b(-2). Let 4/5 + p**x - 8/5*p - 1/5*p**3 = 0. Calculate p.
1, 2
Let h = -275 - -155. Let w be 4*(-42)/h - (-2 + 1). Find d such that 9/5*d**2 + w*d - 12/5 - 6/5*d**3 - 3/5*d**4 = 0.
-2, 1
Let m(k) be the first derivative of k**6/15 - 2*k**5/5 - k**4/6 + 4*k**3/3 + 73*k + 95. Let f(p) be the first derivative of m(p). Determine z so that f(z) = 0.
-1, 0, 1, 4
Let a be (-2)/(-1) - (-12)/(-8)*-82. Let o = a + -122. Factor -11*n**3 - o*n + 9*n**3 - 4 - 8*n**2 - 7*n.
-2*(n + 1)**2*(n + 2)
Let j be (172/36 - -5) + 4/18. Suppose -28 = -4*t - j*t. Factor 8/9*l**5 + 0*l + 2*l**3 + 0 - 4/9*l**t - 8/3*l**4.
2*l**2*(l - 2)*(2*l - 1)**2/9
Let g(s) be the first derivative of 8*s**5/5 + 75*s**4/4 + 128*s**3/3 - 345*s**2/2 - 550*s - 3989. Suppose g(v) = 0. What is v?
-5, -11/8, 2
Determine i, given that 0*i**2 - i**2 - 6*i**2 - 143 + 116 + 10*i**2 = 0.
-3, 3
Let w be (1 - 8/(-3))/((-12)/(-144)). Find d such that -122 + 2*d**2 + w*d - 7*d**2 + 82 + d**2 = 0.
1, 10
Factor 16*s**2 - 7 + 5/2*s**3 - 23/2*s.
(s - 1)*(s + 7)*(5*s + 2)/2
Let n be (4 + -4)/(-2 - -4 - 4 - (-94 + 90)). Factor 3/2*f**3 - 93/4*f**2 + n - 12*f.
3*f*(f - 16)*(2*f + 1)/4
Suppose -3*t = t + 12, -t = -2*i + 3*i. Let v(j) be the first derivative of 0*j + 17 - 25/2*j**2 - 5/3*j**i. What is q in v(q) = 0?
-5, 0
Let z be (-1 - 0)/((-9)/(-27))*46/(-46). Let b(j) be the second derivative of -29*j + 5/2*j**z + 0 + 25*j**2 - 5/12*j**4. Factor b(h).
-5*(h - 5)*(h + 2)
Let i(v) be the second derivative of v**4/18 + 22*v**3/9 + 32*v**2 + 969*v. Suppose i(m) = 0. Calculate m.
-16, -6
Let q(m) be the first derivative of 2*m**5/55 - 13*m**4/11 + 394*m**3/33 - 20*m**2 - 264*m - 6420. Find k such that q(k) = 0.
-2, 6, 11
Let u(w) = w**2 + 30*w - 16413. Let i be u(-144). Determine j, given that 10*j**i - 90/7 - 78/7*j + 86/7*j**2 + 12/7*j**4 = 0.
-3, -5/6, 1
Let j(k) be the third derivative of -k**5/12 + 35*k**4/3 + 550*k**3 + k**2 + 3511*k. What is g in j(g) = 0?
-10, 66
Let w(z) be the second derivative of 8*z**5/5 + 81*z**4 + 170*z**3/3 - 300*z**2 - 3346*z + 2. Determine u so that w(u) = 0.
-30, -1, 5/8
Suppose 14*b - 316 = -65*b. Suppose -3*f + 9 = b*i, 44*f - 4*i - 6 = 42*f. Factor -12/13 + 2/13*h + 6/13*h**f + 20/13*h**2.
2*(h + 1)*(h + 3)*(3*h - 2)/13
Let z(h) be the second derivative of -1/84*h**4 - 5/14*h**2 - 10*h - 1 - 1/7*h**3. Factor z(l).
-(l + 1)*(l + 5)/7
Factor -3250000/17 - 2/17*p**4 + 445000/17*p + 326/17*p**3 - 18900/17*p**2.
-2*(p - 50)**3*(p - 13)/17
Let h(p) be the third derivative of p**7/315 - p**6/60 + 3*p**2 + 65. Find i such that h(i) = 0.
0, 3
Let v(d) be the second derivative of -d**6/90 + 8*d**5/15 - 7*d**3 - 73*d. Let f(s) be the second derivative of v(s). Factor f(l).
-4*l*(l - 16)
Factor 11/4*z**5 + 39/4*z**3 + 1/2*z - 35/4*z**4 + 0 - 17/4*z**2.
z*(z - 1)**3*(11*z - 2)/4
Let z be 5 + 456/(-88) + 57/11. Let b(h) = -132*h**2 - 4032*h - 1348. Let q(r) = 24*r**2 + 733*r + 245. Let l(o) = z*b(o) + 28*q(o). Factor l(p).
4*(p + 30)*(3*p + 1)
Let m(t) be the third derivative of t**7/42 - 17*t**6/8 + 145*t**5/4 - 5125*t**4/24 - 4*t**2 + t + 9. Factor m(k).
5*k*(k - 41)*(k - 5)**2
Let v(g) be the third derivative of 19/12*g**3 + 5/12*g**4 + 1/120*g**5 + 0*g - 2 - 72*g**2. Factor v(n).
(n + 1)*(n + 19)/2
Let h(z) be the third derivative of 1849*z**6/280 - 473*z**5/2 - 773*z**4/14 - 36*z**3/7 + 1553*z**2 - 2*z. What is d in h(d) = 0?
-2/43, 18
Let i(k) = 5*k - 113. Let q be i(23). Factor 1 - 48*a - 33 - 112*a**2 - q*a**5 - 6*a**3 - 48*a - 18*a**4 - 58*a**3.
-2*(a + 1)*(a + 2)**4
Let l(i) = i**3 + 41*i**2 + 145*i - 109. Let q be l(-37). Let y(x) be the first derivative of -6*x**3 + 32 - 3/4*x**4 - 27/2*x**q - 12*x. Factor y(v).
-3*(v + 1)**2*(v + 4)
Let t be (-11*66/35)/(((-368)/736)/(7/2)). Find n such that 576/5 - 220*n**2 - t*n**3 + 192/5*n = 0.
-12/11, 2/3
Let q(g) = -17*g**3 + 311*g**2 - g - 281. Let x(v) = -15*v**3 + 310*v**2 - 285. Let u(f) = 5*q(f) - 6*x(f). Factor u(b).
5*(b - 61)*(b - 1)*(b + 1)
What is y in -80*y**3 - 702/5*y**2 + 424/5*y + 32/5*y**4 - 56/5 = 0?
-2, 1/4, 14
Let q(j) = -j**2 + 105*j + 1158. Let b(g) = 2*g**2 - 108*g - 1160. Let d(t) = -3*b(t) - 4*q(t). Factor d(y).
-2*(y + 24)**2
Let n(x) be the third derivative of 1/75*x**5 + 11/3*x**3 - 20*x**2 + 1/20*x**4 + 1/900*x**6 + 0 + 0*x. Let k(l) be the first derivative of n(l). Factor k(m).
2*(m + 1)*(m + 3)/5
Let s be 1763/533*13 + -39. Let -s*r**2 - 10/3*r**3 + 16/3 + 8/3*r - 2/3*r**4 = 0. Calculate r.
-2, 1
Let f(q) be the third derivative of -q**7/1260 - q**6/40 - q**5/3 - 5*q**4/12 - q**3/3 + 55*q**2. Let l(b) be the second derivative of f(b). Solve l(h) = 0.
-5, -4
Let m(f) = -16*f**2 - 889*f - 315. Let o(q) = -q**2 - 63*q - 1. Let a(s) = -2*m(s) + 30*o(s). Let a(z) = 0. Calculate z.
6, 50
Suppose -64 = -23*f - 2 + 7. Let m(h) be the second derivative of 20*h - 11/30*h**4 + 0 - 2/5*h**f + 0*h**2 - 3/50*h**5. Suppose m(b) = 0. Calculate b.
-3, -2/3, 0
Let i(d) be the second derivative of -4*d - 11 - 11/12*d**4 - 7/20*d**5 - 1/2*d**2 - 19/18*d**3 - 2/45*d**6. Determine s, given that i(s) = 0.
-3, -1, -1/4
Let l = -160100 - -160104. Factor 8/7*t**2 - 12/7*t - 10/7 + 12/7*t**3 + 2/7*t**l.
2*(t - 1)*(t + 1)**2*(t + 5)/7
Let p(j) = -3*j**3 + 95*j**2 + 254*j + 134. Let x(c) = c**3 - 31*c**2 - 85*c - 45. Let i(r) = 4*p(r) + 11*x(r). Suppose i(s) = 0. What is s?
-1, 41
Let v(z) be the first derivative of -z**6/3 - 8*z**5/5 + 59*z**4/2 - 356*z**3/3 + 212*z**2 - 176*z + 552. Solve v(q) = 0 for q.
-11, 1, 2
Let z = -11/6 - -9/2. Let r = 39207 + -39202. Factor 3*c**4 + r*c**3 + z - 4*c - 14/3*c**2.
(c + 1)*(c + 2)*(3*c - 2)**2/3
Let y be (-38)/8 + 1652/944 + (-2 - (-23)/3). Factor 32/3*s - 50/3*s**3 + y + 10/3*s**2.
-2*(s - 1)*(5*s + 2)**2/3
Solve 28/5*u + 50/3*u**2 + 0 - 114/5*u**3 + 8/15*u**4 = 0 for u.
-1/4, 0, 1, 42
Factor 10*o**2 - 496*o - 7*o**4 + 2*o**3 + 1349*o + 3*o**4 - 849*o