*6/60 - 137*d**5/15 + 545*d**4/12 - 272*d**3/3 + 705*d**2. Factor w(g).
2*(g - 272)*(g - 1)**2
Let l(m) be the third derivative of m**8/13440 - m**7/840 + m**6/288 + m**4/3 + 5*m**3/6 - 7*m**2 + 3*m. Let z(u) be the second derivative of l(u). Factor z(c).
c*(c - 5)*(c - 1)/2
Suppose -95 = 10*u - 15*u + 4*w, 0 = 2*u + 2*w - 38. Factor 5*j**5 - 25*j**2 - u*j**3 + 6*j**4 - 13*j**3 - 3*j**2 - 2 + 18*j**3 - 15*j.
(j - 2)*(j + 1)**3*(5*j + 1)
Let h(d) be the first derivative of d**4/12 + 38*d**3/9 - 13*d**2/2 + 216. Suppose h(y) = 0. Calculate y.
-39, 0, 1
Let w(n) be the first derivative of n**5/2 - 105*n**4/8 + 165*n**3/2 + 605*n**2/4 + 313. Factor w(r).
5*r*(r - 11)**2*(r + 1)/2
Suppose 4*q + q = 25. Suppose -7*a = -2*a - q. Let 11*s**4 - s**4 + 1 - 5*s**5 - a - 5*s**3 = 0. Calculate s.
0, 1
Let t(f) be the second derivative of -f**4/12 - 3*f**3/2 + 12*f**2 - 15*f. Let i be t(-11). Let -9*q + i*q**2 + 0*q**2 + 2*q**2 - q**2 = 0. Calculate q.
0, 3
Let o(k) be the second derivative of -k**4/108 + 179*k**3/27 - 32041*k**2/18 - 614*k + 1. Find b, given that o(b) = 0.
179
Let o be 4011/191 - (-2 + 17). Let 6*w + 6 - 3/2*w**4 - 9/2*w**2 - o*w**3 = 0. Calculate w.
-2, -1, 1
Suppose -5*d - s - 3 = 2*s, 0 = -d - 2*s - 9. Let q be (-4)/22*-10 + (-4)/(-22). Factor 3/2 - 3/2*j**q - 3/4*j + 3/4*j**d.
3*(j - 2)*(j - 1)*(j + 1)/4
Let f(a) be the first derivative of -a**6/2 - 3*a**5/5 + 9*a**4/2 + 14*a**3 + 33*a**2/2 + 9*a + 702. Find m, given that f(m) = 0.
-1, 3
Let x(f) be the second derivative of -f**6/45 - 1397*f**5/30 - 3*f - 359. Find p, given that x(p) = 0.
-1397, 0
Let v = -155273 - -776373/5. Let 2/5*n**4 + 26/5*n**2 + 12/5*n**3 + 24/5*n + v = 0. Calculate n.
-2, -1
Let w(u) = -7*u**2 + 7*u + 5. Let i(d) = 8*d**2 - 12*d - 7. Let f(s) = -s**2 - s. Let j(z) = -2*f(z) + i(z). Let k(o) = 5*j(o) + 7*w(o). What is r in k(r) = 0?
0, 1
Let h = 117 + -134. Let q = -13 - h. Let -q*f**2 - 64*f + 22 - 3*f**2 + f**2 = 0. What is f?
-11, 1/3
Let d = 221/5 + -44. Suppose -9*r - 3 = 147*o - 144*o, -3*r - 3*o = 3. Factor 1/5*v**4 + 0 + r*v**2 + d*v**3 + 0*v.
v**3*(v + 1)/5
Let l(a) be the second derivative of 234*a + 0 + 140*a**2 + 45/2*a**4 - 185/2*a**3 + 1/4*a**5. Determine x, given that l(x) = 0.
-56, 1
Let p(w) be the first derivative of -1/2*w**3 - 14*w - 1/4*w**4 + 0*w**2 + 2. Let o(g) be the first derivative of p(g). Factor o(i).
-3*i*(i + 1)
Let h(b) = 100*b**3 - 455*b**2 + 130*b + 100. Let t(m) = -99*m**3 + 454*m**2 - 128*m - 104. Let p(d) = 6*h(d) + 5*t(d). Factor p(n).
5*(n - 4)*(3*n - 2)*(7*n + 2)
Factor 375*s**4 - 270*s**2 - 24 + 121*s**3 - 196*s**3 + 136*s + 20*s.
3*(s + 1)*(5*s - 2)**3
Let i(k) be the first derivative of 1 - 1/16*k**4 + 0*k - 4*k**3 + 1/144*k**6 + 0*k**2 - 1/120*k**5. Let j(h) be the third derivative of i(h). Factor j(q).
(q - 1)*(5*q + 3)/2
Let z = 6 + -1. Suppose 0 = -z*b - 5*u + 85, 5*b - 151 = -u - 54. Find q, given that b*q**2 + 7 - 33*q - q**3 - 3*q**3 + q + 9 = 0.
1, 2
Let o(t) be the first derivative of -25*t**4/14 - 62840*t**3/21 - 25124*t**2/7 - 10048*t/7 - 1943. Factor o(n).
-2*(n + 1256)*(5*n + 2)**2/7
Suppose -b + 12 = a, b + 18 = -47*a + 52*a. Suppose 23 - 37 = -b*g. Factor -1/4*i**g - 1/2 + 3/4*i.
-(i - 2)*(i - 1)/4
Let x(q) = 21*q**2 + q - 1. Let s(h) = -85*h**2 - 8*h + 36. Let i(y) = s(y) + 4*x(y). Suppose i(t) = 0. Calculate t.
-8, 4
Let w(z) be the first derivative of z**4/78 - 19*z**3/39 + 50*z - 68. Let o(n) be the first derivative of w(n). Suppose o(m) = 0. Calculate m.
0, 19
Let o = -371981/26 - -186088/13. Factor -o*p - 2*p**2 + 25/2.
-(p + 5)*(4*p - 5)/2
Determine v, given that 16/9*v**3 - 1/9*v**4 + 0 + 55/9*v**2 + 38/9*v = 0.
-2, -1, 0, 19
Let o(i) be the second derivative of -77*i**4/3 - 103*i**3 - 2*i**2 - i + 257. Factor o(w).
-2*(w + 2)*(154*w + 1)
Let a(p) be the second derivative of p**7/189 - 46*p**6/135 + 88*p**5/15 + 23*p**4/27 - 529*p**3/27 - 58*p + 11. What is v in a(v) = 0?
-1, 0, 1, 23
Let v = 16753/14959 - -49/2137. Factor v + 5/7*w**3 - 26/7*w + 13/7*w**2.
(w - 1)*(w + 4)*(5*w - 2)/7
Solve 2*w**2 - 3*w**2 + 34 - 521419*w + 521386*w = 0.
-34, 1
Let s(x) be the first derivative of -4*x**3/21 - 1068*x**2/7 + 2140*x/7 - 3598. Factor s(l).
-4*(l - 1)*(l + 535)/7
Let c(f) = -26*f**2 + 19*f + 11. Let i = -20 + 19. Let b be (11/i)/(14 + -15). Let h(u) = -9*u**2 + 6*u + 4. Let x(n) = b*h(n) - 4*c(n). Factor x(w).
5*w*(w - 2)
Factor 621*v + 2*v - 156*v + 7*v**2 + 378*v - 12*v**2.
-5*v*(v - 169)
Let s = 103 - 100. Solve -4*l**4 + s*l + 20*l**2 - 4*l**5 + 0*l**5 + 5*l + 0*l**5 + 12*l**3 = 0 for l.
-1, 0, 2
Let o(v) be the third derivative of 19*v**2 + 0 + 9/14*v**4 + 38/735*v**7 + 27/35*v**5 + 0*v + 1/294*v**8 + 0*v**3 + 3/10*v**6. Factor o(s).
4*s*(s + 3)**3*(2*s + 1)/7
Determine j so that -16/5*j**3 - 22*j**2 - 72 + 464/5*j = 0.
-10, 9/8, 2
Let d = 1450513/112 - 12951. Let g(f) be the third derivative of -1/20*f**6 + d*f**8 + 0*f + 1/8*f**4 - 14*f**2 + 0*f**5 + 0*f**7 + 0*f**3 + 0. Factor g(k).
3*k*(k - 1)**2*(k + 1)**2
Let z(d) be the third derivative of -d**6/120 - 7*d**5/30 - 25*d**4/24 - 2*d**3 - 8*d**2 + d + 158. Factor z(l).
-(l + 1)**2*(l + 12)
Let i(a) be the third derivative of a**7/1260 - 17*a**6/180 - 7*a**5/12 - 245*a**4/24 + 142*a**2. Let z(r) be the second derivative of i(r). Solve z(p) = 0.
-1, 35
Let d be (840/(-156))/35 + 2 + 697/52. Let x(y) be the second derivative of 21/10*y**5 - 1/10*y**6 + 0 + 42*y**3 + 31*y - d*y**4 - 54*y**2. Factor x(a).
-3*(a - 6)**2*(a - 1)**2
Factor 3/7*t**3 + 9*t**2 + 0 - 138/7*t.
3*t*(t - 2)*(t + 23)/7
Solve 1/4*n**2 - 161*n + 321 = 0.
2, 642
Let b(z) be the third derivative of z**6/360 + 7*z**5/60 + 7*z**4/6 + 32*z**3/9 - 70*z**2 - 29*z. Determine u so that b(u) = 0.
-16, -4, -1
Let c(j) be the second derivative of 1/180*j**5 + 0 + 30*j - 1/18*j**4 + 1/540*j**6 + 0*j**2 - 2*j**3. Let v(a) be the second derivative of c(a). Factor v(m).
2*(m - 1)*(m + 2)/3
Let r(t) be the second derivative of -t**4/30 - 64*t**3/15 - 583*t**2/5 + 6766*t. Find o such that r(o) = 0.
-53, -11
Suppose 0 = 44*n + 34855 - 35031. Factor 6050/9*u - 4180/9*u**2 + 2/9*u**5 - 2662/9 - 70/9*u**n + 860/9*u**3.
2*(u - 11)**3*(u - 1)**2/9
Let h = -381 + 383. What is k in 4*k**3 - 10*k**3 - 141 + 22*k - h*k**4 + 6*k**2 + 153 = 0?
-3, -1, 2
Let s(d) be the first derivative of -d**3 + 1878*d**2 + 5048. Factor s(f).
-3*f*(f - 1252)
Let p(n) = 4*n**2 + 79*n - 166. Let v(a) = a**2 + 20*a - 42. Let q(k) = -2*p(k) + 9*v(k). Let w be q(-24). Factor 2/5 + 0*y + 2/5*y**4 + 0*y**3 - 4/5*y**w.
2*(y - 1)**2*(y + 1)**2/5
Let p(r) be the first derivative of 92/9*r**3 + 2*r**4 + 2/15*r**5 + 20*r**2 + 50/3*r - 126. What is z in p(z) = 0?
-5, -1
Suppose b - 19 = 4*t, 0*t + 7 = b - t. Let r = -213106 - -426215/2. Factor -r*v**4 + 3/2*v + 0 - 3/2*v**b + 3/2*v**2.
-3*v*(v - 1)*(v + 1)**2/2
Let t(j) be the third derivative of 1/90*j**5 + 81*j - 7/36*j**4 + 7/720*j**6 + 0*j**3 + 0 - j**2 - 1/1260*j**7. Factor t(l).
-l*(l - 7)*(l - 2)*(l + 2)/6
Let n(x) be the first derivative of -2*x**3/3 - 948*x**2 - 449352*x - 680. Factor n(z).
-2*(z + 474)**2
Let g(v) be the second derivative of -v**7/189 + 43*v**6/135 - 193*v**5/90 + 35*v**4/18 + 38*v**3/3 + 905*v. Solve g(w) = 0.
-1, 0, 3, 38
Let s(m) = -5042*m - 5042. Let k be s(-1). Find x such that 0*x + 16/9*x**3 + 10/9*x**4 + k - 32/3*x**2 - 2/9*x**5 = 0.
-3, 0, 4
Let x(v) be the second derivative of -1/10*v**6 + 0*v**5 - 9*v**3 + 58*v + 11/4*v**4 + 0 + 12*v**2. Factor x(c).
-3*(c - 2)*(c - 1)**2*(c + 4)
Let f = 558 - 518. Let u be (10/8)/(f/16). Factor u*b**2 + 0*b - 1/2.
(b - 1)*(b + 1)/2
Let p = -122 - -124. Let d(a) be the first derivative of -5/4*a**4 + 0*a**p - 11 + 2/3*a**3 - 1/6*a**6 + 0*a + 4/5*a**5. Let d(r) = 0. What is r?
0, 1, 2
Let c(u) be the third derivative of -2 - 1/200*u**6 - 1/25*u**5 + 1/10*u**4 + 0*u**3 + 1/350*u**7 - 117*u**2 + 0*u. Factor c(f).
3*f*(f - 2)*(f - 1)*(f + 2)/5
Let n = 1665087 - 8325434/5. What is s in 0 - 7/5*s - n*s**2 = 0?
-7, 0
Let t be (-42)/(-385)*125/4. Let k = t + -499/198. Find y, given that -4/3*y**2 - 4/9*y**3 + k + 4/9*y + 4/9*y**4 = 0.
-1, 1, 2
Let p be (384/4352)/(24/448). Suppose -p + 26/17*y + 2/17*y**2 = 0. What is y?
-14, 1
Let s(f) be the first derivative of -5*f**4/4 + 2575*f**3 - 3978375*f**2/2 + 682954375*f + 1