0*x**3/3 + 4*x**2 + 26*x - 59. Let h(z) = -12*j(z) - 2*l(z). Factor h(u).
4*(u - 1)*(u + 1)*(u + 7)
Solve 44*k**2 - 1/3*k**4 - 770/3*k + 2/3*k**3 + 637/3 = 0 for k.
-13, 1, 7
Let h(c) be the second derivative of -4/3*c**3 + 4 - 3*c**2 - 3*c + 2/15*c**5 - 1/45*c**6 + 1/9*c**4. Let h(m) = 0. Calculate m.
-1, 3
Let d(o) = -o**2 + 16*o. Let k(l) = -15*l**2 - 5103*l - 1830. Let r(u) = 24*d(u) - k(u). Factor r(j).
-3*(j - 610)*(3*j + 1)
Let p(i) = 8*i**3 + 71*i**2 - 85*i - 133. Let a(t) = 20*t**3 + 176*t**2 - 212*t - 332. Let f(g) = -5*a(g) + 12*p(g). Factor f(j).
-4*(j - 2)*(j + 1)*(j + 8)
Let v be (-1)/6*1 - (163332/(-216))/349. Factor -17/2*p + v + 7/4*p**2 + p**3.
(p - 2)*(p + 4)*(4*p - 1)/4
Let x(n) be the first derivative of n**3/6 - 117*n**2/2 + 13689*n/2 - 211. Solve x(k) = 0.
117
Let u(n) be the first derivative of -n**8/336 + n**7/24 - n**6/4 + 5*n**5/6 - 5*n**4/3 - 49*n**3/3 - 239. Let f(b) be the third derivative of u(b). Factor f(x).
-5*(x - 2)**3*(x - 1)
Let j(f) be the third derivative of f**7/630 - 19*f**6/90 + 87*f**5/10 + 841*f**4/18 - 268279*f**3/18 - 143*f**2 - 4. Factor j(z).
(z - 29)**3*(z + 11)/3
Let m(o) = -1574*o - 284889. Let f be m(-181). Factor 1/4*v**2 + 0 - 3/4*v**3 - 1/4*v**4 + 1/4*v**f + 1/2*v.
v*(v - 2)*(v - 1)*(v + 1)**2/4
Let a(p) be the first derivative of 4*p**3/3 + 56*p**2 - 3060*p + 5101. Factor a(o).
4*(o - 17)*(o + 45)
Factor -5180*o + 4682*o**2 + 987661 + 353959 - 4677*o**2.
5*(o - 518)**2
Suppose 3*c - 4*c + 5 = 0, 5*n - 3*c + 5 = 0. Suppose -5*i = -3*v - 30, -9 = 5*v - 3*i + 9. Factor 1/10*f**n + 1/5*f + v.
f*(f + 2)/10
Let z be ((16 - 6)/(-5))/4*0. Let q be z/(-11 - (-3 - 5)). Solve 0 - 2/3*w**4 + 0*w + q*w**2 - 4/3*w**3 = 0.
-2, 0
Let s be -4 - 3*3/(-9). Let w be 0/(-3) + (-57)/s. Factor -4 + 3 + w + 15*d**2 + 51*d.
3*(d + 3)*(5*d + 2)
Let p(j) be the first derivative of 17 + 9/5*j**5 + 33/2*j**4 + 18*j**2 - 108*j + 47*j**3. What is v in p(v) = 0?
-3, -2, 2/3
Let g(m) be the third derivative of 1/60*m**6 + 0*m**3 - 4/21*m**4 + 0*m - 7*m**2 - 4/105*m**5 - 4 - 1/735*m**7. Determine j so that g(j) = 0.
-1, 0, 4
Let p(u) be the third derivative of -49*u**6/24 - 21*u**5/2 + 40*u**4 + 1280*u**3/3 + 2*u**2 + u + 1112. Factor p(a).
-5*(a - 2)*(7*a + 16)**2
Let a(z) be the second derivative of z**7/2940 - z**6/630 - z**5/140 + 19*z**3/2 + 9*z - 3. Let b(f) be the second derivative of a(f). Solve b(h) = 0 for h.
-1, 0, 3
Find i such that 64*i**2 - 104*i**2 + 2*i**4 - 2*i**5 + 58*i**3 - 122*i**2 + 216 = 0.
-6, -1, 2, 3
Factor -33/4*k - 17/2 + 1/4*k**2.
(k - 34)*(k + 1)/4
Let q(u) be the first derivative of u**6/3 - 98*u**5/5 + 70*u**4 - 184*u**3/3 + 1978. Find l, given that q(l) = 0.
0, 1, 2, 46
Let z(o) be the first derivative of 2*o**3/15 + 21*o**2/5 + 136*o/5 - 5427. Let z(d) = 0. What is d?
-17, -4
Let d be (-64)/(-20) - (-2)/(-10). Suppose d*i = 2*i + 4. Factor 373*v**5 - 369*v**5 + 12*v**4 + 7*v**3 + i*v**2 + 5*v**3.
4*v**2*(v + 1)**3
Let r(x) be the first derivative of -x**6/36 + 11*x**5/30 - 7*x**4/4 + 3*x**3 + 9*x**2/4 - 27*x/2 + 653. Suppose r(k) = 0. Calculate k.
-1, 3
Let g be (5 + -4)*(-14)/(-7). Factor -51*n**2 - 42*n**g - 59*n - 2 + 3*n**3 + 2 - 37*n.
3*n*(n - 32)*(n + 1)
Let s(v) be the third derivative of -8/5*v**5 + 0 + 6*v + 22/3*v**4 - 56/3*v**3 - 1/210*v**7 + 1/6*v**6 - v**2. Factor s(a).
-(a - 14)*(a - 2)**3
Determine r so that 0 + 6/7*r - 1/7*r**3 - 1/7*r**2 = 0.
-3, 0, 2
Let -18 + 29*k**2 - 8*k**4 + 32*k**4 + k - 20*k**4 - 24 + 11*k**3 - 3*k**4 = 0. What is k?
-7, -3, -2, 1
Factor 80*m + 0 + 5/3*m**4 + 20*m**3 + 220/3*m**2.
5*m*(m + 2)*(m + 4)*(m + 6)/3
Let k(i) be the third derivative of -53/630*i**7 + 11/90*i**5 + i + 0 + 6*i**2 - 5/24*i**6 + 4/3*i**3 + 23/18*i**4 - 5/504*i**8. Let k(n) = 0. Calculate n.
-2, -3/10, 1
Suppose 2 = -t - 3*q, 3*t - q - 14 = -0*t. Let r(p) be the second derivative of 27*p - 1/36*p**t + 1/9*p**3 + 0 - 1/6*p**2. Factor r(a).
-(a - 1)**2/3
Let l = -8207/48 - -171. Let g = 391/336 - l. Factor 8/7*t**2 + 0 - g*t - 2/7*t**3.
-2*t*(t - 2)**2/7
Let b(i) be the first derivative of i**6/6 + 7*i**5 - 38*i**4 + 52*i**3 - 1014. Factor b(a).
a**2*(a - 2)**2*(a + 39)
Let o(a) be the third derivative of -a**7/525 - a**6/300 + a**5/150 + a**4/60 + 18*a**2 + 13*a. What is j in o(j) = 0?
-1, 0, 1
Factor -1/6*b**2 - 136/3 + 91/2*b.
-(b - 272)*(b - 1)/6
Let p(u) = -5*u**3 - 3*u + 1. Let o be p(1). Let w be 10*(-10)/840*o. Let -5/6*s**3 + 1/3*s**2 - 1/3 + w*s = 0. What is s?
-1, 2/5, 1
Let t(g) be the third derivative of g**4 + 1/4*g**5 + 1/40*g**6 + 0*g + 0 + 108*g**2 + 2*g**3. Solve t(k) = 0 for k.
-2, -1
Factor -6/5*z**2 + 32/5*z - 2/5*z**3 - 24/5.
-2*(z - 2)*(z - 1)*(z + 6)/5
Let m(w) = -47*w**2 + 286*w + 289. Let t(c) = 9*c**2 - 57*c - 58. Let n(z) = -2*m(z) - 11*t(z). Factor n(s).
-5*(s - 12)*(s + 1)
Suppose 0 = -3*k - 4*l, 1 + 5 = -2*l. Let 1308*d**3 - 139*d**k - 460*d + 14*d**4 - 533*d**3 - 70*d**2 - 120 = 0. Calculate d.
-2/5, 1, 6
Let w = 7/9516 - -5813/3172. Factor 2/3*h**2 + 1/6*h**3 - w*h + 1.
(h - 1)**2*(h + 6)/6
Let d(g) be the third derivative of 1/30*g**5 + 2*g**2 + 75 + 0*g + 0*g**4 - 3*g**3. Let d(b) = 0. Calculate b.
-3, 3
Suppose -k + 26 = l - 3, -3*k = 6. Let v(j) = l - 65 + 32 + 3*j**2 - 2*j. Let m(o) = -14*o**2 + 8*o + 9. Let n(y) = -2*m(y) - 9*v(y). Factor n(s).
s*(s + 2)
Suppose -3*o = 5*y + 16, -4*o - y - 2709 + 2716 = 0. Let c(s) be the second derivative of -5/2*s**2 - 5/12*s**4 + 0 - 5/3*s**o + 12*s. Factor c(n).
-5*(n + 1)**2
Let c(t) be the first derivative of t**3 + 15*t**2/2 - 528*t + 651. Factor c(j).
3*(j - 11)*(j + 16)
Factor 0*b - 6/5*b**3 + 0 + 1/5*b**4 + 0*b**2.
b**3*(b - 6)/5
Let c(h) be the first derivative of 3*h**4/4 + 94*h**3 - 588*h**2 + 3903. What is t in c(t) = 0?
-98, 0, 4
Let f(l) be the second derivative of l**6/480 + l**5/60 + l**4/32 - 69*l**2/2 + 112*l. Let k(m) be the first derivative of f(m). Factor k(v).
v*(v + 1)*(v + 3)/4
Let c(p) be the first derivative of -1/6*p**3 + 187 + 0*p + 33/4*p**2. Factor c(t).
-t*(t - 33)/2
Let y(s) be the second derivative of -1/7*s**7 + 5/3*s**4 + 0 + s**3 - 2*s**2 - 8/15*s**6 + 0*s**5 - 37*s. Determine q so that y(q) = 0.
-2, -1, 1/3, 1
Let 407/4*p**2 + 0 + 45/2*p + 9/4*p**3 = 0. What is p?
-45, -2/9, 0
Let d(f) be the first derivative of 7*f**3 + 75*f**2 + 21*f - 2960. Factor d(s).
3*(s + 7)*(7*s + 1)
Let k(b) be the second derivative of -b**7/6 + 473*b**6/270 - 391*b**5/60 + 1075*b**4/108 - 58*b**3/9 + 2*b**2 + 7413*b. Find u such that k(u) = 0.
2/9, 2/7, 1, 3
Let r(v) be the second derivative of -v**7/147 + 23*v**6/105 - 163*v**5/70 + 361*v**4/42 - 320*v**3/21 + 100*v**2/7 + 2*v - 3. Factor r(q).
-2*(q - 10)**2*(q - 1)**3/7
Let p(u) be the third derivative of 0*u**3 - 2*u + 7/180*u**6 - 11/90*u**5 + 13*u**2 + 0 + 5/36*u**4 - 1/315*u**7. Factor p(y).
-2*y*(y - 5)*(y - 1)**2/3
Let t(u) be the second derivative of u**5/40 - 9*u**4/4 + 26*u**3/3 + 1925*u. Let t(y) = 0. What is y?
0, 2, 52
Let o(a) be the first derivative of -94*a**3/3 + 95*a**2 - 4*a + 1486. Factor o(c).
-2*(c - 2)*(47*c - 1)
Let n be (-4 - (-20503)/9100) + 4. Let x = n - 1/325. Factor x*l - 3/4*l**3 + 0*l**2 + 3/2.
-3*(l - 2)*(l + 1)**2/4
Let d(u) be the first derivative of -u**7/4200 + u**6/360 - 329*u**3/3 + 192. Let s(b) be the third derivative of d(b). Suppose s(c) = 0. Calculate c.
0, 5
Let d(m) be the first derivative of 4*m**2 + 0*m + 1/3*m**3 - 20. Solve d(v) = 0 for v.
-8, 0
Let z(m) be the third derivative of -1/1008*m**8 - 13/360*m**6 + 0*m + 0*m**4 + 1/45*m**7 - 3 + 0*m**3 - 35*m**2 + 0*m**5. Suppose z(i) = 0. What is i?
0, 1, 13
Let i(s) be the first derivative of -2*s**3/3 + 1970*s**2 - 1940450*s + 2163. Solve i(x) = 0 for x.
985
Let m(r) be the second derivative of 2*r**6/15 - 11*r**5/5 + 3*r**4 + 22*r**3/3 - 20*r**2 - 362*r. Factor m(n).
4*(n - 10)*(n - 1)**2*(n + 1)
Suppose 958*f = 965*f - 9884. Suppose 0 = 1403*r - f*r + 18. Solve -1/2*p**r - 8*p - 32 = 0.
-8
Let v(j) be the first derivative of -24/5*j**5 + 9*j**4 + 2/3*j**6 - 16/3*j**3 - 162 + 0*j**2 + 0*j. Factor v(z).
4*z**2*(z - 4)*(z - 1)**2
Factor -107/4*r - 1/4*r**3 + 5*r**2 + 22.
-(r - 11)*(r - 8)*(r - 1)/4
Let z(g) be the first derivative of -2*g**3 - 73 + 9*g**2 - 18*g + 1/6*g**4. Factor z(u).
2*(u - 3)**3/3
Determine y, given that -116*y + 1141*