4/5*k + 0 + 134/5*k**3 + 22/5*k**4 + 128/5*k**2 - 8/5*k**n = 0.
-2, -1, -1/4, 0, 6
Let r = -27 - -36. Factor 6*i + 2*i - r*i - i**2 - 16 - 7*i.
-(i + 4)**2
Let y be (-1)/3 + (-77)/(-231). Factor 12*t + y*t**3 + 23*t**2 + 69*t**2 - 16*t**2 - 38*t + 6*t**3.
2*t*(t + 13)*(3*t - 1)
Let l(p) be the first derivative of -94 + 96/5*p**2 - 3072/5*p - 1/5*p**3. Solve l(s) = 0 for s.
32
Factor -203/2*a**2 + 197/2*a**3 - 993/2*a - 297 + 1/2*a**4.
(a - 3)*(a + 1)**2*(a + 198)/2
Let n(z) = -12*z**2 + 120*z + 8. Let i(u) = -19 + 3 + 10 + 40*u - 4*u**2 + 9. Let r(s) = -8*i(s) + 3*n(s). Let r(o) = 0. What is o?
0, 10
Factor 130*x**2 - 355*x - 38*x**3 + 73*x**3 - 40*x**3 + 170 + 60.
-5*(x - 23)*(x - 2)*(x - 1)
Let a(b) = 90*b**2 + 24650*b + 1697468. Let p(g) = -18*g**2 - 4929*g - 339494. Let f(c) = -6*a(c) - 28*p(c). Find h, given that f(h) = 0.
-412/3
Suppose 7*c = 11*c + 16, 5*m + 5*c = -5. Factor 42*r - 34*r - 32*r - m*r**3 + 7*r**2 - 25*r**2.
-3*r*(r + 2)*(r + 4)
Let r(f) be the second derivative of f**4/4 - 632*f**3 + 599136*f**2 - 1591*f. Factor r(j).
3*(j - 632)**2
Let w(v) be the second derivative of 7*v + 5/12*v**4 + 5 - 1/6*v**6 - 1/4*v**5 + 0*v**3 + 5/42*v**7 + 0*v**2. Factor w(h).
5*h**2*(h - 1)**2*(h + 1)
Let i(v) be the second derivative of -5*v - 11/135*v**6 + 3 + 1/27*v**4 + 0*v**3 + 1/18*v**5 + 0*v**2 + 4/189*v**7. Determine x so that i(x) = 0.
-1/4, 0, 1, 2
Let f(g) be the second derivative of -g**5/90 + 133*g**4/54 - 1357*g**3/9 - 2645*g**2 - 772*g. Factor f(d).
-2*(d - 69)**2*(d + 5)/9
Suppose -5*l - 4*u + 7 = 0, -4*l - 9*u + 24 = 59. Let -17/3*x**2 - 4/3*x**4 - l*x**3 + 11*x + 3 = 0. What is x?
-3, -1/4, 1
Suppose 0 = -15*o + 14 + 16. Find j such that -16*j**o - 22*j + 18*j + 28*j + 20*j = 0.
0, 11/4
Factor -12*z**4 - 141376/3 - 70564/3*z**2 + 1096*z**3 - 206048/3*z.
-4*(z - 47)**2*(3*z + 4)**2/3
Let x = 894/7 + -3555/28. Suppose x*o + 1/4*o**2 + 0 = 0. What is o?
-3, 0
Let s(g) be the first derivative of 0*g**2 + 0*g - 25/9*g**4 - 1/9*g**5 - 1/540*g**6 + 29 + 13/3*g**3. Let b(w) be the third derivative of s(w). Solve b(d) = 0.
-10
Suppose -20*n + 62 = 2*l - 22*n, l - 4*n - 34 = 0. Suppose 5*m + 4*i - l = 0, -m + 4*i = 1 + 17. Suppose 5/3*z**m - 10/3*z + 5/3 = 0. What is z?
1
Let h(y) be the first derivative of -y**6/33 - 602*y**5/55 - 11549*y**4/11 - 134996*y**3/33 - 66901*y**2/11 - 44402*y/11 - 2820. Determine o so that h(o) = 0.
-149, -1
Factor 100*p - 29 + 2*p**4 + 28*p**3 - 31 - 40 - 96*p**2 + 66.
2*(p - 1)**3*(p + 17)
Let k = -189 + 191. Factor 60*x**3 + 56*x**2 + 9*x - k*x + 2*x**5 + 24*x**4 - 7*x + 18*x.
2*x*(x + 1)**3*(x + 9)
Let b(z) be the third derivative of -z**6/24 + 59*z**5/12 - 1045*z**4/8 - 12705*z**3/2 - 9102*z**2. What is j in b(j) = 0?
-7, 33
Let v(t) be the second derivative of 19*t**7/98 + 27*t**6/35 - 78*t**5/35 - 3*t**4/2 + 85*t**3/14 - 18*t**2/7 + 102*t + 1. Suppose v(u) = 0. Calculate u.
-4, -1, 3/19, 1
Let w = -2/1526187 - -6104758/7630935. Let w*m + 4/5 - 4/5*m**3 - 4/5*m**2 = 0. What is m?
-1, 1
Let v(y) be the first derivative of -2*y**3/69 - 22*y**2/23 + 3038. Find c such that v(c) = 0.
-22, 0
Let n(q) = q**3 - q**2 + 3*q - 1. Let v(p) = -55*p**3 - 1195*p**2 - 930*p + 270. Let x(b) = 10*n(b) + v(b). Factor x(l).
-5*(l + 1)*(l + 26)*(9*l - 2)
Let t(m) = 2*m**3 + 141*m**2 - 318*m + 157. Let o(i) = 9*i**3 + 567*i**2 - 1271*i + 629. Let h(c) = 3*o(c) - 11*t(c). Determine n so that h(n) = 0.
-32, 1
Let w(s) be the first derivative of -2/55*s**5 + 16/11*s + 2/11*s**3 + 49 + 2/11*s**4 - 14/11*s**2. Suppose w(n) = 0. What is n?
-2, 1, 4
Let g(r) = -558*r - 46. Let n be g(-8). Factor -40*m + 165*m + n + 63*m + 2*m**2.
2*(m + 47)**2
Let p = 1421038/5 - 284194. Solve -2/5*j**2 + p - 66/5*j = 0 for j.
-34, 1
Let f be (-20)/(-84)*(14 + (-136)/20). Factor 8/7*q**3 + 64/7 - f*q**2 - 1/7*q**4 - 32/7*q.
-(q - 4)**2*(q - 2)*(q + 2)/7
Let h(c) = c**3 + c**2 + c + 1. Let y(o) = 25*o**2 - 10*o + 5. Let j = -37 - -32. Let g(s) = s**2 + 4*s. Let w be g(j). Let m(i) = w*h(i) - y(i). Factor m(f).
5*f*(f - 3)*(f - 1)
Let k(x) be the first derivative of -64 + 1/42*x**4 + 0*x - 1/7*x**2 + 4/63*x**3. Solve k(g) = 0.
-3, 0, 1
Factor -2/15*q**2 - 77618/15 + 788/15*q.
-2*(q - 197)**2/15
Let x(s) be the third derivative of 0*s**3 - 1/54*s**4 - 46*s**2 - 1/180*s**6 + 7/270*s**5 + 0*s + 0. Factor x(b).
-2*b*(b - 2)*(3*b - 1)/9
Let a = -1013184 + 1013186. Solve -2/9 - 1/9*g**a - 1/3*g = 0 for g.
-2, -1
Let v(q) be the first derivative of -q**4/3 + 2*q**3/3 + 7*q - 63. Let c(n) be the first derivative of v(n). Suppose c(k) = 0. Calculate k.
0, 1
Let l(a) be the first derivative of -1521*a - 1/3*a**3 + 39*a**2 - 202. Factor l(s).
-(s - 39)**2
Let c(w) be the first derivative of w**4/4 - 191*w**3 - 1149*w**2/2 - 575*w + 2108. Factor c(f).
(f - 575)*(f + 1)**2
Let g be (-2)/3*(-1 + (-210)/(-183)). Let m = g - -152/305. Factor 0 + 0*p - 2/5*p**3 + m*p**2.
-2*p**2*(p - 1)/5
Factor 53*b - 141*b + 88 + 2*b**2 + 127 - 122*b - 7*b**2.
-5*(b - 1)*(b + 43)
Let y(r) be the first derivative of 3*r**4/28 - 564*r**3/7 + 159048*r**2/7 - 19934016*r/7 + 454. Let y(q) = 0. What is q?
188
Let h(y) be the second derivative of -y**4/84 - 2*y**3/7 + 27*y**2/2 + 7389*y + 2. Factor h(g).
-(g - 9)*(g + 21)/7
Let 41/5*w**4 - 648/5 - 774/5*w + 1/5*w**5 + 3*w**2 + 181/5*w**3 = 0. Calculate w.
-36, -3, -1, 2
Factor 2/15*t**2 - 2752/15 - 550/3*t.
2*(t - 1376)*(t + 1)/15
Let t be (-4)/166 + (-11366)/(-471689). Factor t - 25/4*x**3 - 13/2*x**2 + 1/4*x**4 + 0*x.
x**2*(x - 26)*(x + 1)/4
Let g(r) = 6*r + 9*r + r**3 - 11*r**2 + 11*r + 5*r**2 - 43*r + 73. Let l be g(7). Factor -1/2*o - o**l + 1 - 5/2*o**2.
-(o + 1)*(o + 2)*(2*o - 1)/2
Factor -80*p - 1328*p + 83 - 177*p - 613 + 15*p**2.
5*(p - 106)*(3*p + 1)
Find i, given that -6*i**4 + 0 + 6/5*i**5 + 18/5*i**3 - 24/5*i + 6*i**2 = 0.
-1, 0, 1, 4
Let v(r) be the third derivative of r**5/150 - 91*r**4/180 - 62*r**3/45 + 37*r**2. Factor v(s).
2*(s - 31)*(3*s + 2)/15
Determine b so that -60*b**3 + 14*b**4 + 45*b**2 + 11*b**4 + 419602*b - 419612*b = 0.
0, 2/5, 1
Let b = -595 + 833. Determine s, given that 8*s**3 - 248*s + 5*s**2 + b*s - 3*s**3 = 0.
-2, 0, 1
Let m = 17 + 9. Let i be (m/(-39))/((-2)/15). Factor 48*d**2 + 42*d**4 - 32*d + 120*d**3 - 9*d**i + 21*d**5 + 26*d**4.
4*d*(d + 2)**3*(3*d - 1)
Suppose 261 = 26*w - 181. Let d(u) = -2*u**2 + 34*u + 3. Let p be d(w). Let 1/3*b**4 + 0*b + b**p + 0*b**2 + 0 = 0. Calculate b.
-3, 0
Let w(s) = -217 + 105 - 28*s**2 + 49*s - 12*s + 51*s + 4*s. Let c(k) = 18*k**2 - 61*k + 75. Let r(l) = -8*c(l) - 5*w(l). Let r(m) = 0. Calculate m.
2, 5
Let o(s) be the second derivative of s**4/78 - 71*s**3/39 - 146*s**2/13 - 546*s. Solve o(p) = 0.
-2, 73
Suppose -224*c - 280 = -1176. Let i(h) be the third derivative of 2/35*h**5 + 1/210*h**6 + 11/42*h**c + 0*h + 0 + 4/7*h**3 - 17*h**2. Factor i(k).
4*(k + 1)*(k + 2)*(k + 3)/7
Find c, given that 1/4*c**2 + 43/4*c - 47 = 0.
-47, 4
Let -45 + 49*j**3 - 9*j**3 + 117 + 102*j + 33*j**2 - 32*j**3 - 5*j**3 = 0. Calculate j.
-6, -4, -1
Suppose -6*y = -25*y + 228. Suppose -16 = -4*z + 2*f, -5*z - 5*f + y + 8 = 0. Let -9/4*x**2 + 3/4*x**z + 3/4*x**3 - 3/4*x + 3/2 = 0. What is x?
-2, -1, 1
Let c = -251 - -253. Suppose -5*x + 10 = -2*n, -2*x + c*n = -3*x - 10. Solve 14/9*g**5 + 4/3*g**2 + x + 8/3*g**4 + 0*g - 50/9*g**3 = 0.
-3, 0, 2/7, 1
Let x(r) be the first derivative of 30 + 22*r**2 + 4*r + 157/3*r**3 + 81/5*r**5 + 99/2*r**4. Factor x(p).
(p + 1)**2*(9*p + 2)**2
Let m be -24*(-18)/1728 - 1/(-2). Let s(z) be the second derivative of m*z**2 + 0 - 1/24*z**3 - 20*z - 1/8*z**4 + 1/80*z**5. Factor s(v).
(v - 6)*(v - 1)*(v + 1)/4
Let c(l) = 11*l**4 + 19*l**3 - 15*l**2 - 13*l + 16. Let h(o) = 6*o**4 + 2*o**3 - o**2 + o + 1. Let k(x) = -c(x) + 2*h(x). Let k(g) = 0. Calculate g.
-1, 1, 14
Let z(l) be the second derivative of -l**4/30 - 4*l**3/3 + 96*l**2/5 - 1735*l. Solve z(h) = 0 for h.
-24, 4
Let c(g) = -3*g**2 + 3*g - 3. Let n(j) = 245*j**2 - 965*j + 770. Let r(t) = 25*c(t) - n(t). Factor r(u).
-5*(8*u - 13)**2
Let p(g) be the first derivative of -g**6/15 + 66*g**5/25 + 189*g**4/10 + 118*g**3/15 - 156*g**2 - 1368*g/5 + 6766. Find t, given that p(t) = 0.
-3, -1, 2, 38
Let z(n) = -2*n**4 + n**3 + n**2 + 1. Let g(l) = 21*l**4 - 10*l**3 - l**2 + 8*l - 11. Let x(b) = 4*g(b) + 44