hat o(q) = 0.
-1, 9
Let 21288*n**2 - 572*n**3 + 31488 - 553293*n + 7712 + 493373*n + 4*n**4 = 0. What is n?
1, 2, 70
Let a(u) be the third derivative of u**5/180 + 43*u**4/72 + 14*u**3 + 3*u**2 + 196*u + 2. Factor a(p).
(p + 7)*(p + 36)/3
Let t(k) be the third derivative of k**8/252 + 8*k**7/105 + 19*k**6/90 - 4*k**5/15 - 10*k**4/9 - 559*k**2. Find z such that t(z) = 0.
-10, -2, -1, 0, 1
Let o = 4874497/11 - 443136. Factor o*r**4 - 1/11*r**3 + 1/11*r + 0 - 1/11*r**2.
r*(r - 1)**2*(r + 1)/11
Let s(h) = -2*h**3 - 10*h**2 + h + 6. Let x be s(-5). Let v(g) = g**3 + g - 1. Let r(n) = 4*n**3 + 14*n - 6. Let l(a) = x*r(a) - 6*v(a). Factor l(k).
-2*k*(k - 2)*(k + 2)
Let o(d) be the first derivative of d**6/33 + 18*d**5/11 + 1771. Factor o(y).
2*y**4*(y + 45)/11
Let l be ((-5415)/(-675) - 8/36) + -3. Let v(k) be the second derivative of -1/20*k**4 - l*k**2 + 21*k + 0 - 4/5*k**3. Suppose v(g) = 0. Calculate g.
-4
Let m(s) be the first derivative of -4/3*s**3 - 13 - 21*s - 1/6*s**4 + 4*s**2 + 1/10*s**5. Let h(f) be the first derivative of m(f). Factor h(o).
2*(o - 2)*(o - 1)*(o + 2)
Let p(d) = d**3 - 9*d**2 + 10*d - 14. Suppose -2*j = -2*v - 16, -4*j - v + 3*v + 32 = 0. Let u be p(j). Factor 4 - 13 + 20*g**2 - 9 + 4*g + u.
4*(g + 1)*(5*g - 4)
Find q such that 43*q**2 + 69*q**2 + 270 - 12*q - 161*q**2 + 47*q**2 = 0.
-15, 9
Let h(a) be the second derivative of a**7/105 - a**6/18 - 2*a**5/15 + a**4/2 + a**3/6 - 5*a**2 + 16*a. Let b(q) be the second derivative of h(q). Factor b(c).
4*(c - 3)*(c + 1)*(2*c - 1)
Let h be ((-160)/216)/((-1)/9)*(-6)/(-14). Factor h*j**2 - 7*j + 11/7.
(4*j - 1)*(5*j - 11)/7
Suppose -9/7*h**4 - 537/7 + 228*h**3 + 2682/7*h**2 + 540/7*h = 0. Calculate h.
-1, 1/3, 179
Let a(l) be the first derivative of l**3/3 - 137*l**2/2 + 1386*l + 507. Find s, given that a(s) = 0.
11, 126
Let z(g) be the third derivative of -11*g**6/120 - 16*g**5/15 + 113*g**4/6 - 40*g**3/3 - 7357*g**2. Solve z(u) = 0.
-10, 2/11, 4
Solve 6*k**4 + 97*k + 154*k**5 - 105 + 9*k**4 + 90*k**2 + 28*k - 130*k**3 - 149*k**5 = 0.
-7, -1, 1, 3
Factor 5019*x**2 + 1/2*x**3 + 18730432868 + 16793574*x.
(x + 3346)**3/2
Let p be (-4*5/50)/((-5)/25). Determine c, given that -c**3 - 9*c**3 - 13*c**2 + p*c + c**3 + 2*c**3 = 0.
-2, 0, 1/7
Let x(h) be the first derivative of -h**7/126 + h**6/18 - 5*h**5/36 + 5*h**4/36 + 29*h**2/2 - 2*h + 38. Let c(z) be the second derivative of x(z). Factor c(k).
-5*k*(k - 2)*(k - 1)**2/3
Factor 87*k**2 + 2376*k - 25*k**2 - 30*k**2 - 29*k**2.
3*k*(k + 792)
Let v(g) be the second derivative of g**6/15 - 67*g**5/15 - 109*g**4/6 - 94*g**3/9 - 15*g + 15. Let v(b) = 0. Calculate b.
-2, -1/3, 0, 47
Suppose 2*k + 6 = 5*k. Let n(p) = 25*p + 128. Let h be n(-5). What is u in 8*u**4 - u - h*u - 10*u**4 + 6*u**k = 0?
-2, 0, 1
Suppose -16*h + 17*h + 1 = 0. Let x be (364/(-35))/(h/5). Let -52 - 2*n**4 - 2*n**3 + 4*n**2 + x = 0. What is n?
-2, 0, 1
Let b(q) be the first derivative of -q**4/16 + 53*q**3/12 - 115*q**2 + 1300*q + 5657. Factor b(x).
-(x - 20)**2*(x - 13)/4
Let i(m) be the first derivative of -m**3/12 + 103*m**2/4 + 318*m + 2566. Find s such that i(s) = 0.
-6, 212
Let m be 9/(-18)*(-2070)/45. Let h(y) be the second derivative of 1/10*y**6 + 0*y**2 + 0 - 3/10*y**5 - 3/4*y**4 - m*y + 0*y**3. Factor h(d).
3*d**2*(d - 3)*(d + 1)
Let p = -31/15 + 12596/15. Let x = p - 837. Find o, given that 0*o - 2/3*o**2 - 2/3*o**3 + 2/3*o**4 + x*o**5 + 0 = 0.
-1, 0, 1
Let b(d) be the second derivative of -1/66*d**4 - 1/231*d**7 + 2*d + 0*d**2 + 0*d**3 + 1/165*d**6 - 1 + 1/110*d**5. Suppose b(i) = 0. What is i?
-1, 0, 1
Let s(t) = t**2 + 36*t - 72. Let c be s(-38). Suppose -4*b**4 + 11*b**2 - b**4 - 3*b**2 - 3*b**c - 41*b - 16*b**3 + 4*b**5 + 53*b = 0. What is b?
-1, 0, 1, 3
Let r(b) be the second derivative of b**4/6 + 29*b**3 - 658*b**2 + 2473*b. Solve r(a) = 0.
-94, 7
Let w(f) be the second derivative of f**5/20 + 11*f**4/12 + 23*f**3/6 - 35*f**2/2 - 6*f - 13. Let w(v) = 0. What is v?
-7, -5, 1
Suppose 0 = c - 16*f + 13*f + 28, -44 = -42*c + 4*f. What is o in 2/9 + 2/9*o**c - 4/9*o**4 - o + o**3 = 0?
-1, 1/4, 1, 2
Let q(m) be the first derivative of 2*m**3/3 + 133*m**2 - 3168*m - 10098. Factor q(f).
2*(f - 11)*(f + 144)
Suppose 5/8*z**3 - 50 + 12*z**2 + 105/2*z = 0. What is z?
-10, 4/5
Suppose -3117 = -72*d + 69*d. Let m = d - 10389/10. Determine v so that 1/5*v**2 - 2/5*v**3 - m*v**5 - 2/5*v**4 + 1/2*v + 1/5 = 0.
-2, -1, 1
Let i(r) be the third derivative of r**6/480 + r**5/80 - 3*r**4/32 + 5*r**3/24 + 2*r**2 - 289*r. Factor i(u).
(u - 1)**2*(u + 5)/4
Let b(s) be the second derivative of 961*s**7/63 - 589*s**6/9 + 307*s**5/3 - 575*s**4/9 + 65*s**3/9 - s**2/3 - 25*s + 13. Find c, given that b(c) = 0.
1/31, 1
Let q(t) be the second derivative of -t**5/36 + 55*t**4/72 - 5*t**3 - 67*t**2/2 - 176*t. Let d(h) be the first derivative of q(h). Suppose d(r) = 0. What is r?
2, 9
Factor -57*p - 459/8 + 3/8*p**2.
3*(p - 153)*(p + 1)/8
Factor 70 - 135*h + 26*h + 132 - 40 - h**2 + 60.
-(h - 2)*(h + 111)
Let g(z) be the third derivative of z**8/42 - 22*z**7/105 + 13*z**6/30 - 4*z**5/15 + 8098*z**2. Let g(t) = 0. Calculate t.
0, 1/2, 1, 4
Let l(i) be the third derivative of -i**5/30 + 3*i**4 + 367*i**3/3 - 54*i**2. Let t(s) = -s**2 - s + 3. Let j(f) = l(f) - 4*t(f). Factor j(z).
2*(z + 19)**2
Let s be -7 - ((-4)/10)/((270/825)/9). Factor 7/2*z**2 + 1/2*z**3 + s + 7*z.
(z + 1)*(z + 2)*(z + 4)/2
Let d(w) be the third derivative of w**8/336 - w**7/35 + w**6/24 + 315*w**2 - 2. Determine f so that d(f) = 0.
0, 1, 5
Let p be (61 - 71) + (-9 - -188)*54/45. Factor -p - 1/5*m**2 + 64/5*m.
-(m - 32)**2/5
Suppose -4*v + 14 + 2 = 0, 0 = -5*a + 4*v + 44. What is m in -a*m**2 - 3*m + 7*m**2 - 30 - 22*m = 0?
-3, -2
Suppose 10*r - 31 + 11 = 0. Suppose 75 = -2*x - 5*j + 59, 0 = -4*x - 2*j. Suppose -1/9*a**3 + 24 - 12*a + x*a**r = 0. What is a?
6
Let k(u) be the second derivative of u**5/5 - 18*u**4 + 448*u**3 + 3136*u**2 - 6*u + 57. Factor k(b).
4*(b - 28)**2*(b + 2)
Let x(l) = -8*l**3 + 26*l**2 + 117*l + 211. Let c(r) = 7*r**3 - 22*r**2 - 117*r - 212. Let p(f) = -5*c(f) - 4*x(f). Factor p(k).
-3*(k - 8)*(k + 3)**2
Let o(r) = r**2 - 54*r - 171. Let w be o(57). Suppose g - 12*g + 22 = 0. Suppose 1/5*v**3 + 2/5*v**4 + w*v**g + 0*v + 0 + 1/5*v**5 = 0. Calculate v.
-1, 0
Let c = -256 - -329. Factor -43*s**2 + 70*s**3 - c*s**4 - 20*s + 58*s**4 + 8*s**2.
-5*s*(s - 4)*(s - 1)*(3*s + 1)
Let l be (160 + (-257950)/1617)*(1 - 4/(-10)). Factor -2/3*x - l - 9*x**3 + 37/2*x**2.
-(x - 2)*(6*x + 1)*(9*x - 2)/6
Let q(o) be the third derivative of -1/210*o**7 - 1/36*o**5 + 0*o**3 + 0*o - 11/180*o**6 - 117*o**2 + 0 + 7/36*o**4. Suppose q(v) = 0. What is v?
-7, -1, 0, 2/3
Let n be (-10)/(-5) - (-6 + 3). Let p be n/((-45)/44) - (-12 - -7). Factor 2/9*q**3 + 0 + 0*q**2 - 1/9*q - p*q**5 + 0*q**4.
-q*(q - 1)**2*(q + 1)**2/9
Let h = -129 - -69. Let w = h + 68. Factor 0 - w + 187*x**2 + 2*x - 186*x**2.
(x - 2)*(x + 4)
Factor 313 + 18*w - 4*w**2 - 2*w**2 + 3*w**2 - 7 + 15*w.
-3*(w - 17)*(w + 6)
Let f = 8333/4 + -2083. Let y(x) be the second derivative of -19*x + 0*x**2 - 5/6*x**3 + 0 + 1/6*x**6 - 5/12*x**4 + f*x**5. Let y(s) = 0. What is s?
-1, 0, 1
Let t(b) be the second derivative of -b**5/80 - 235*b**4/8 - 41301*b**3/2 + 124609*b**2 + b - 497. Solve t(c) = 0.
-706, 2
Let o = 993 - 993. Let v(s) be the second derivative of -1/12*s**4 - 23*s + o*s**2 - 1/20*s**5 + 0*s**3 + 0. Factor v(y).
-y**2*(y + 1)
Let v(m) be the first derivative of -m**5/60 - 2*m**4/9 - 8*m**3/9 + 287*m - 68. Let i(d) be the first derivative of v(d). What is o in i(o) = 0?
-4, 0
Suppose -9 - 12 = -7*h. Suppose -19 = -g - 13. Find z such that h*z**3 + 4*z**5 - 10*z**3 + g*z**3 - 3*z**3 = 0.
-1, 0, 1
Let s = 1057004/627551 + -4/33029. Suppose -16/19*j**2 + 96/19*j - 80/19*j**3 + 54/19*j**4 - s - 10/19*j**5 = 0. What is j?
-1, 2/5, 2
Let r(u) be the third derivative of u**7/168 + u**6/4 - 143*u**3/6 + 2*u**2 - 4. Let c(q) be the first derivative of r(q). Factor c(n).
5*n**2*(n + 18)
Suppose 3*j - 2*s = -2, 4*j + 3 = -0*s + 3*s. Let z(n) be the first derivative of j*n**2 + 0*n**3 + 15 - 1/14*n**4 + 0*n. Factor z(k).
-2*k**3/7
Let o(k) = 33*k**3 - 41*k**2 + 33*k + 15. Let b(f) = 13*f**3 - 20*f**2 + 17*f + 6. Let p(j) = 5*b(j) - 2*o(j). Factor p(m).
-m*(m -