*z**q - 133*z**4 - 12 = 0.
-3, 1/3, 1
Let q(p) be the third derivative of 0 + 10*p**2 + 1/210*p**7 + 1/60*p**5 + 0*p**4 - 1/60*p**6 + 0*p + 0*p**3. Let q(t) = 0. Calculate t.
0, 1
Let o(j) be the second derivative of 3*j**5/80 + 11*j**4/8 - 23*j**3/8 + 3*j + 11. Find y, given that o(y) = 0.
-23, 0, 1
Let y(i) be the second derivative of -i**6/210 + 19*i**5/70 - 9*i**4/7 + 53*i**3/21 - 5*i**2/2 - 2*i + 319. Solve y(n) = 0 for n.
1, 35
Let f(p) be the second derivative of 2/9*p**3 - 2 - 8/3*p**2 + 2/9*p**4 - 1/20*p**5 + 2*p. Factor f(c).
-(c - 2)**2*(3*c + 4)/3
Factor 10*h - 8*h**2 - 20*h + 18*h + 2*h**3.
2*h*(h - 2)**2
Let c = 185/1302 - -3/62. Let t(p) be the first derivative of 0*p**2 - 3/14*p**4 + c*p**3 + 14 + 2/35*p**5 + 0*p. Determine w, given that t(w) = 0.
0, 1, 2
Determine f, given that 22*f + 7 - 5*f**2 - 4 + 4 - 15 = 0.
2/5, 4
Let n(p) be the first derivative of 2*p**3/11 - 100*p**2/11 - 136*p/11 - 77. Factor n(v).
2*(v - 34)*(3*v + 2)/11
Let 2/13*q**2 + 0 + 2/13*q = 0. What is q?
-1, 0
Factor 12899*g - 10*g**4 + 2*g**5 - 12899*g + 8*g**3.
2*g**3*(g - 4)*(g - 1)
Let w(k) be the second derivative of -k**6/40 - k**5/40 - 4*k**3/3 + 7*k. Let q(h) be the second derivative of w(h). Factor q(i).
-3*i*(3*i + 1)
Let r(c) be the third derivative of c**6/72 - 2*c**5/3 + 40*c**4/3 - c**3 - 6*c**2. Let k(f) be the first derivative of r(f). Let k(v) = 0. What is v?
8
Let u(d) be the second derivative of 1/4*d**4 - 1/40*d**6 - 1/20*d**5 + 3*d + 0 - 7/2*d**2 + 0*d**3. Let c(t) be the first derivative of u(t). Factor c(p).
-3*p*(p - 1)*(p + 2)
Let x(d) be the second derivative of -d**6/15 + 13*d**5/30 - d**4/18 - 13*d**3/9 + 4*d**2/3 - 240*d. Let x(f) = 0. What is f?
-1, 1/3, 1, 4
Let g(i) be the third derivative of -i**7/5040 - i**6/1080 - i**5/720 - 3*i**3 + i**2. Let m(p) be the first derivative of g(p). Solve m(s) = 0.
-1, 0
Solve 41*o**2 - 403 + 79 - 14*o**2 + 3*o**3 = 0.
-6, 3
Let d(c) = -2*c**4 - c**3 + c**2 - c - 1. Let k(y) = -27*y**4 + 80*y**3 - 2102*y**2 - 2222*y - 13. Let z(o) = 39*d(o) - 3*k(o). Factor z(f).
3*f*(f - 47)**2*(f + 1)
Factor 81 + 6*b**3 - 27/4*b**2 + 3/4*b**4 - 81*b.
3*(b - 3)*(b - 1)*(b + 6)**2/4
Let z(v) = -v**2 + 14*v - 5. Let s = 7 + 6. Let c be z(s). Factor 4 + c + 4*g**2 + 4*g + 12*g.
4*(g + 1)*(g + 3)
Let u(b) be the second derivative of -3/10*b**5 + 0 + 1/15*b**6 + 1/2*b**4 - 1/3*b**3 + 0*b**2 + 6*b. Factor u(v).
2*v*(v - 1)**3
Let a be -14*(-3)/6 + 12/4. Factor a*s + s + 15*s**4 + 5*s**2 - 25*s**3 - 6*s.
5*s*(s - 1)**2*(3*s + 1)
Determine v so that 5785*v**3 - 243*v - 62*v + 40 + 5915*v**4 - 322*v**2 - 188*v**2 - 35*v = 0.
-1, -2/7, 2/13
Let q(o) be the first derivative of -3*o**5/5 - 33*o**4/4 - 42*o**3 - 96*o**2 - 96*o + 198. Factor q(a).
-3*(a + 1)*(a + 2)*(a + 4)**2
Let p(m) be the first derivative of 3*m**5 - 21*m**4/4 - 3*m**3 + 21*m**2/2 - 6*m + 91. Factor p(l).
3*(l - 1)**2*(l + 1)*(5*l - 2)
Let w(k) be the first derivative of 8/5*k**5 - 6*k + 46/3*k**3 - 5*k**2 - 19/2*k**4 + 11. Factor w(j).
2*(j - 3)*(j - 1)**2*(4*j + 1)
Let m(o) be the third derivative of o**7/3780 + o**6/216 - o**5/30 + 7*o**4/6 - 26*o**2. Let x(z) be the second derivative of m(z). What is r in x(r) = 0?
-6, 1
Let y(j) be the first derivative of 0*j - 2/21*j**3 + 6 - 2/7*j**2. Factor y(a).
-2*a*(a + 2)/7
Suppose 3*w - 11 = 4*w - 3*h, -3*w + h = -7. Suppose -l = -w*l + 6. Let -1/4*j + 1/4*j**l + 0 + 1/2*j**3 = 0. What is j?
-1, 0, 1/2
Let r = 8 + -6. Let -60*x**5 - 2*x**r + 57*x**4 - x**4 + 12*x**3 - 6*x**2 = 0. Calculate x.
-2/5, 0, 1/3, 1
Let a(f) = -f**3 + 3*f**2 + 4*f + 3. Let m be a(4). Factor t**3 - 15*t**2 + 15 - 15*t**3 + 7*t**3 + 2*t**m + 5*t.
-5*(t - 1)*(t + 1)*(t + 3)
Let s(y) be the third derivative of -y**8/336 - y**7/40 - 11*y**6/160 - 19*y**5/240 - y**4/32 - 2*y**2 + 12. Find m, given that s(m) = 0.
-3, -1, -1/4, 0
Let b(v) be the third derivative of v**8/784 + 3*v**7/245 + 13*v**6/280 + 3*v**5/35 + v**4/14 + 111*v**2. Factor b(f).
3*f*(f + 1)**2*(f + 2)**2/7
Let x(h) = 4*h - 56. Let l be x(15). Let v be l/12 + 22*(-1)/(-6). Determine d, given that 0*d - 2/5*d**3 - 1/5*d**2 + 0 - 1/5*d**v = 0.
-1, 0
Let o = 6206 - 31028/5. Factor o + 4/5*q + 2/5*q**2.
2*(q + 1)**2/5
Let k(s) be the second derivative of -s**7/14 - 7*s**6/10 - 51*s**5/20 - 17*s**4/4 - 3*s**3 + 90*s. Suppose k(i) = 0. Calculate i.
-3, -2, -1, 0
Suppose -4*q + 4*r = -q - 14, 5*q + 3*r = 4. Factor 10*f**3 - 8 - 10*f**3 + 22*f**q + 52*f**2 - 40*f**3 + 16*f.
-2*(f - 2)*(4*f - 1)*(5*f + 2)
Let n(c) be the second derivative of -c**7/14 + c**6/2 - 27*c**5/20 + 7*c**4/4 - c**3 - 139*c. Factor n(d).
-3*d*(d - 2)*(d - 1)**3
Suppose -5*y - 48 = -2*g, 7*y - 2*y = -2*g - 32. Let w be ((-1)/(-2))/((-36)/y - 2). Solve 0*z**3 + 3/5*z**4 + 0*z - w*z**2 + 0 - 2/5*z**5 = 0 for z.
-1/2, 0, 1
Let z = 11333 - 11319. Factor -4*h - z - 2/7*h**2.
-2*(h + 7)**2/7
Let n(g) = -g**5 - 74*g**4 - 325*g**3 - 500*g**2 + 4. Let r(z) = 75*z**4 + 325*z**3 + 500*z**2 - 5. Let d(a) = 5*n(a) + 4*r(a). Factor d(p).
-5*p**2*(p + 4)*(p + 5)**2
Let k(z) be the second derivative of -5*z**7/42 - z**6/6 + z**5/2 + 455*z. Let k(j) = 0. Calculate j.
-2, 0, 1
Suppose -142 = -12*b + 26. Suppose -16*p = -b*p. Factor 4/3*j**3 + p*j**4 - 2/3*j + 0 - 2/3*j**5 + 0*j**2.
-2*j*(j - 1)**2*(j + 1)**2/3
Let h = 1030 - 1024. Let p(w) be the first derivative of 7 + 1/2*w**4 - 1/2*w**2 + 0*w**5 - 1/6*w**h + 0*w**3 + 0*w. Factor p(i).
-i*(i - 1)**2*(i + 1)**2
Determine j, given that -27/5*j**2 - 9/5*j**4 + 5*j**3 + 1/5*j**5 + 2*j + 0 = 0.
0, 1, 2, 5
Let c = 116 + -113. Let j(v) be the first derivative of 0*v + 1/9*v**c - 2 - 1/6*v**2. Determine l so that j(l) = 0.
0, 1
Let z(j) be the first derivative of -16*j**3/3 + 30*j**2 + 16*j - 316. Suppose z(l) = 0. Calculate l.
-1/4, 4
Let b(c) = 2*c**3 - 3*c**2 - 1. Let s(n) = n + 3. Let f be s(3). Let w(h) = h**3 - h**2 - h - 1. Suppose -o = 3*o + 8. Let l(p) = f*w(p) + o*b(p). Factor l(g).
2*(g - 2)*(g + 1)**2
Let f(r) be the second derivative of -r**7/14 - 11*r**6/10 - 129*r**5/20 - 73*r**4/4 - 28*r**3 - 24*r**2 - 124*r. Determine u so that f(u) = 0.
-4, -1
Let g(q) = 29*q - 29*q + 10*q**2 - 10. Let t(j) = 3*j**2 - 3. Let z(x) = -4*g(x) + 14*t(x). Find c, given that z(c) = 0.
-1, 1
Let o(q) be the first derivative of 28 - 36*q**2 - 2/3*q**3 - 648*q. Suppose o(l) = 0. Calculate l.
-18
Let c = -22/47 + 311/564. Let d(f) be the third derivative of -1/160*f**6 - c*f**5 + 5*f**2 - 13/32*f**4 - 3/4*f**3 + 0*f + 0. Factor d(n).
-(n + 3)**2*(3*n + 2)/4
Let z = -4959/10 + 496. Let l(g) be the third derivative of 0*g - 8*g**2 + 3/10*g**3 + 0 + z*g**4 + 1/100*g**5. Factor l(h).
3*(h + 1)*(h + 3)/5
Let i(n) = 4*n - 4. Suppose 0 = 3*v + 3*v + 24. Let r(z) = -z**2 + 4*z - 3. Let q(a) = v*r(a) + 5*i(a). Find u, given that q(u) = 0.
-2, 1
Let l = 732 - 728. Let y(w) be the second derivative of -1/4*w**3 - 1/24*w**l + 0 + 0*w**2 - 7*w. Suppose y(i) = 0. Calculate i.
-3, 0
Let x(i) be the first derivative of -2*i**3/9 + i**2/3 + 4*i + 73. Factor x(n).
-2*(n - 3)*(n + 2)/3
Let t be 3 - 0/(-2) - 0. Factor -8*g**3 - 2*g**t - 4*g**2 + 10*g + 6 - 6 + 4.
-2*(g - 1)*(g + 1)*(5*g + 2)
Let q(p) = -5*p**2 + 39*p + 10. Let k be q(8). Let r = 97/2 - 46. Factor 0 + 1/2*l**5 - r*l**4 - k*l**2 + 0*l + 4*l**3.
l**2*(l - 2)**2*(l - 1)/2
Suppose 8 - 5*k**4 + 29/2*k**3 - 34*k + 30*k**2 = 0. What is k?
-2, 2/5, 1/2, 4
Let u(i) = -6*i**2 + i + 7. Suppose 43 + 20 = 3*l. Let x = -16 + l. Let t(c) = 12*c**2 - c - 13. Let j(k) = x*u(k) + 3*t(k). Suppose j(n) = 0. What is n?
-1, 2/3
Find p, given that 7*p - p**3 + 7*p**3 + 8 + p**3 + 45*p**2 + 13*p - 71*p**2 = 0.
-2/7, 2
Let g(y) be the third derivative of -y**6/80 + 19*y**5/40 + 89*y**4/16 + 69*y**3/4 + 839*y**2. Let g(o) = 0. What is o?
-3, -1, 23
Let g(f) be the third derivative of f**7/525 + 14*f**6/25 + 3443*f**5/75 - 238*f**4 + 1445*f**3/3 - 399*f**2 - 2. Factor g(z).
2*(z - 1)**2*(z + 85)**2/5
Let k be (-2)/6 + 192/144. Let f be 2 + (1 - k)*7/(-7). Factor -27/4*m**f - 3/4*m**3 - 18*m - 12.
-3*(m + 1)*(m + 4)**2/4
Factor -6/5*v**2 + 18/5*v + 24/5.
-6*(v - 4)*(v + 1)/5
Determine v so that 6*v**5 - 5 + 13*v**2 - 24*v**3 + 4*v**4 + 3*v**5 - 5*v**2 - 5*v**5 - 7 + 20*v = 0.
-3, -1, 1
Suppose u + 8 = 11. Let x(g) be the second derivative of 8*g + 11/24*g**u + 1/4*