*3 + 0 - 1/5*o**2. Determine q so that x(q) = 0.
-1/2, 1
Suppose 14 = 8*w - 18. Let z(v) be the third derivative of 0*v + 1/30*v**3 + 1/40*v**w + 1/600*v**6 - 5*v**2 + 1/100*v**5 + 0. Factor z(q).
(q + 1)**3/5
Suppose -2235*r + 2223*r = -24. Let w(t) be the first derivative of t**r - 1/12*t**3 - 4*t + 5. Factor w(b).
-(b - 4)**2/4
Let x(u) be the third derivative of u**10/151200 - u**8/20160 - 13*u**5/60 + 9*u**2. Let b(i) be the third derivative of x(i). Factor b(h).
h**2*(h - 1)*(h + 1)
Let j(b) = 6*b**3 - 1 + 0*b**3 + b**3 + b - 4*b**3 + b**2. Let f be j(1). Factor -9/2*o**2 - 1/2*o**f - 5/2*o**3 - 7/2*o - 1.
-(o + 1)**3*(o + 2)/2
Let t(n) be the third derivative of n**8/672 + n**7/42 + 13*n**6/80 + 37*n**5/60 + 17*n**4/12 + 2*n**3 + 2*n**2 + 435*n. Find j such that t(j) = 0.
-3, -2, -1
Let c(n) be the third derivative of -n**7/630 - n**6/60 - 7*n**4/24 + 3*n**2. Let m(g) be the second derivative of c(g). Factor m(q).
-4*q*(q + 3)
Let g be ((-36)/(-21))/((-3)/126). Let d be 5 - 1 - g/(-90). Solve -d + 32/5*l - 12/5*l**2 = 0 for l.
2/3, 2
Let q(r) = 36*r**3 - 6*r**2 - 37*r**3 + r + 11 - 18*r - 5*r**2. Let v be q(-9). Suppose 9*b + 45/4*b**4 + 105/4*b**v + 59/2*b**3 + 1 = 0. What is b?
-1, -2/5, -2/9
Let -132*r - 15*r**4 - 1287/5*r**2 - 108/5 - 162*r**3 = 0. Calculate r.
-9, -1, -2/5
Suppose 4*x + 14 = 6*x. Suppose c - x + 2 = 0. Suppose -5*q**5 - 3*q**2 + 3*q**4 + q**2 + c*q**4 - q**3 = 0. What is q?
-2/5, 0, 1
Factor -7*j**4 + 22*j**2 + 45*j + 33*j**3 + 19*j**4 + 8*j**2 - 36*j.
3*j*(j + 1)**2*(4*j + 3)
Let c(h) be the third derivative of -h**5/20 - 7*h**4/4 - 13*h**3/2 - 10*h**2 - 1. Factor c(l).
-3*(l + 1)*(l + 13)
Factor 82/15 - 16/3*n - 2/15*n**2.
-2*(n - 1)*(n + 41)/15
Let t be 17/5 - (24 - 21). Let o(p) be the first derivative of 0*p**2 - t*p**5 + 0*p + 0*p**3 + 2 + 0*p**4. Let o(u) = 0. What is u?
0
Let k(y) be the first derivative of -16/11*y**3 + 8 - 56/55*y**5 + 5/2*y**4 - 5/11*y**2 + 4/11*y. Suppose k(z) = 0. Calculate z.
-2/7, 1/4, 1
Let w(h) = -h**5 + h**4 - h - 1. Let k(z) = -1 - 2 - z**5 - z**5 + z**2 + 2*z**4 - 3*z - z**3. Let d(o) = -k(o) + 3*w(o). Determine g, given that d(g) = 0.
-1, 0, 1
Suppose 2*q + 5*p - 25 = 0, -3*p + 14 = 2*q - 5. Suppose -3*z - 26*z = 0. Factor 0*a**2 - 2/5*a**q + 0*a**3 - 2/5*a**4 + 0 + z*a.
-2*a**4*(a + 1)/5
Let m(g) be the second derivative of g**4/9 - 6*g**2 + 157*g. Factor m(z).
4*(z - 3)*(z + 3)/3
Suppose -4*a + 75 = 19. Let f(o) = 3*o**2 + o**2 - 4*o**3 + 4*o**2. Let j(l) = -l**4 - 11*l**3 + 25*l**2 + l. Let u(y) = a*f(y) - 4*j(y). Factor u(i).
4*i*(i - 1)**3
Let i(t) be the third derivative of -t**8/3360 - t**7/1764 + 2*t**6/315 - t**5/105 - 3*t**4/8 + 4*t**2. Let h(m) be the second derivative of i(m). Factor h(b).
-2*(b - 1)*(b + 2)*(7*b - 2)/7
Let m = 5385 + -37692/7. Factor m*f - 3/7*f**3 + 6/7*f**2 - 6/7.
-3*(f - 2)*(f - 1)*(f + 1)/7
Let g(r) be the first derivative of 11*r**5/240 - r**4/16 - 3*r**2/2 + 9. Let j(i) be the second derivative of g(i). Determine a, given that j(a) = 0.
0, 6/11
Let m(o) be the first derivative of o**5/12 - 5*o**4/8 - 10*o**3/3 - 6*o**2 - 8. Let n(y) be the second derivative of m(y). Solve n(r) = 0.
-1, 4
Let c be ((-1)/1)/(65/(-290)) + -4. Let p = 30 - 27. Factor 2/13 + 6/13*f**2 - c*f - 2/13*f**p.
-2*(f - 1)**3/13
Let o(x) be the first derivative of -x**3/3 + 5*x**2 - 9*x + 20. Factor o(w).
-(w - 9)*(w - 1)
What is o in 14*o + 11*o**2 - 10*o - o**3 - 22*o = 0?
0, 2, 9
Let l(y) be the second derivative of 7/12*y**3 + 9*y - 1/2*y**2 - 7/40*y**5 + 0 + 1/12*y**4. Factor l(v).
-(v - 1)*(v + 1)*(7*v - 2)/2
Let x(h) be the third derivative of h**5/270 - 92*h**4/27 + 33856*h**3/27 + 241*h**2. Factor x(t).
2*(t - 184)**2/9
Suppose -2*j - 6 + 3 = -3*q, 2*q = 4*j - 6. Let i(w) be the first derivative of 1/15*w**q + 1/20*w**4 - 6 - 1/30*w**6 - 1/25*w**5 + 0*w + 0*w**2. Factor i(c).
-c**2*(c - 1)*(c + 1)**2/5
Let d = 6979/8 + -6975/8. Factor d + 1/2*a - a**2.
-(a - 1)*(2*a + 1)/2
Let h(i) be the second derivative of 0 + 13*i - 1/3*i**3 + 1/18*i**4 + 2/3*i**2. Factor h(s).
2*(s - 2)*(s - 1)/3
Let n(r) be the second derivative of 0 + 5*r + 1/12*r**4 - 1/6*r**3 - 1/80*r**5 + 0*r**2. Let n(s) = 0. Calculate s.
0, 2
Let h(a) = -4*a**4 + 6*a**3 + 12*a**2 - 2. Let j(k) = -16*k**4 + 23*k**3 + 48*k**2 - 9. Let d(y) = -9*h(y) + 2*j(y). What is l in d(l) = 0?
-1, 0, 3
Suppose 5 = -64*m + 261. Let x(f) be the second derivative of -4*f**2 + 0 - 2/3*f**3 + 1/5*f**5 - 4*f + 2/3*f**m. Factor x(g).
4*(g - 1)*(g + 1)*(g + 2)
Let b(d) be the first derivative of 3*d**4/20 - 23*d**3/5 - 204*d**2/5 - 336*d/5 + 618. Factor b(l).
3*(l - 28)*(l + 1)*(l + 4)/5
Let c = 154/9 - 761/45. Let n(y) be the third derivative of 2/3*y**4 + 8/3*y**3 + 0 + 0*y - c*y**5 + 2*y**2. Factor n(b).
-4*(b - 2)*(3*b + 2)
Suppose -50*d + 30*d = -80. Let w = 4/683 + 5420/7513. Factor w*u**5 + 0*u - 6/11*u**d + 0 + 0*u**2 - 2/11*u**3.
2*u**3*(u - 1)*(4*u + 1)/11
Let o(c) be the second derivative of c**7/49 + 19*c**6/105 + 19*c**5/70 - c**4/6 - 10*c**3/21 + 424*c. Solve o(g) = 0 for g.
-5, -1, 0, 2/3
Solve -6*d**2 + 3*d**2 - d**3 + 7*d + 18*d - d**2 - 13*d = 0.
-6, 0, 2
Let u(g) = g**2 - 25*g + 138. Let s be u(17). Find m such that 0 + 3/8*m + 1/8*m**3 + 1/2*m**s = 0.
-3, -1, 0
Let w(y) be the second derivative of y**6/15 + 4*y**5/5 + 3*y**4 + 16*y**3/3 + 5*y**2 - 119*y. Factor w(d).
2*(d + 1)**3*(d + 5)
Let u = 22 + -25. Let d be (1/u)/((-2)/30). Factor 7*z**2 - 23*z**2 + 12*z**3 - 20*z**4 + 20*z**3 + 0*z**d + 4*z**5.
4*z**2*(z - 2)**2*(z - 1)
Let y = 371 - 365. Let a(f) be the second derivative of -9/5*f**3 - 32/105*f**7 - 27/10*f**2 + 29/25*f**5 + 3/4*f**4 - 3*f - 8/75*f**y + 0. Factor a(s).
-(s - 1)**2*(4*s + 3)**3/5
Let p be (2 + 260/(-125))*-40 - 3. Factor 0*f + 0 - f**2 - p*f**3.
-f**2*(f + 5)/5
Let b be 7*-1*(64/28 - 3). Solve -b*j**2 - 180 - 45*j - 34*j + 19*j = 0 for j.
-6
Let i(c) be the first derivative of -c**4/2 + 4*c**3/9 + c**2 - 4*c/3 + 533. Factor i(h).
-2*(h - 1)*(h + 1)*(3*h - 2)/3
Determine k, given that 4/3 - 2/3*k**2 + 7/3*k = 0.
-1/2, 4
Let j(r) = -r**3 - 13*r**2 - 11*r + 12. Let f be j(-12). Suppose -2*w = -w - f*w. Solve 0*o - 4/9*o**3 + 2/9*o**4 + 0*o**2 + w = 0.
0, 2
Factor -3*o**3 - 75 - 201 - 128*o + 131*o + 219*o**2 + 57.
-3*(o - 73)*(o - 1)*(o + 1)
Let c(o) be the first derivative of -5*o**4/12 - 5*o**3/6 - 21*o + 11. Let s(f) be the first derivative of c(f). Find p such that s(p) = 0.
-1, 0
Let z(r) be the first derivative of -13*r**3/12 + 27*r**2/8 - r/2 + 311. Factor z(h).
-(h - 2)*(13*h - 1)/4
Let n = -4203/2 + 2109. Factor 9 + n*v + 3/2*v**2.
3*(v + 2)*(v + 3)/2
Factor -58*r**3 - 4805*r + 53*r**3 + 159*r**2 - 31*r**2 + 182*r**2.
-5*r*(r - 31)**2
Suppose 0 = -4*a - 2*y, -5*a = 4*y - 9*y. Let p be a/1 + (-36)/22 - -2. Factor -2/11*f - 2/11*f**3 + 0 + p*f**2.
-2*f*(f - 1)**2/11
Let x(h) = -h**3 - 4*h**2 - h - 2. Let c be x(-4). Factor 4*v - 38*v**4 - 4*v**2 + 2*v**c + 0*v**5 - 14*v**5 - 36*v**3 + 6*v**3.
-2*v*(v + 1)**3*(7*v - 2)
Let k(y) be the first derivative of -10 + 10/3*y**3 + 5/2*y**2 + 0*y. Factor k(h).
5*h*(2*h + 1)
Let i(q) be the first derivative of -2/25*q**5 + 4/15*q**3 + 1/15*q**6 - 1/5*q**4 - 2/5*q + 5 + 1/5*q**2. Factor i(t).
2*(t - 1)**3*(t + 1)**2/5
Let y = -22 + 25. Let 2*j**5 + 7*j**y - 2*j**2 - 2*j**3 + 2*j**4 + 9*j**4 + 2*j**5 = 0. What is j?
-2, -1, 0, 1/4
Suppose c + 12 = -2*o + 4*o, o - 6 = -c. Let l be (1/(-4))/(-1*o/12). Find k such that -1/2*k**4 + 1/2*k**3 + 0*k + 0 + l*k**2 - 1/2*k**5 = 0.
-1, 0, 1
Suppose -56*x = -52*x - 288. Let s be (((-9)/x)/((-3)/4))/1. Determine y, given that 1/6*y**3 - 1/6*y + 1/6*y**2 - s = 0.
-1, 1
Let b = 1104 - 1101. Let f(m) be the third derivative of 2*m**b - 2*m**4 - 9*m**2 + 0*m + 0 + 7/40*m**6 + 1/4*m**5. Factor f(q).
3*(q - 1)*(q + 2)*(7*q - 2)
Suppose -5*c + 8 = h, -5*h - 2*c = -7*c - 10. Let z(k) be the first derivative of -16/9*k**2 + 10/27*k**h + 25/18*k**4 + 4 + 8/9*k. Find w, given that z(w) = 0.
-1, 2/5
Let f(t) be the first derivative of -2*t**3/15 + 5*t**2/2 - 12*t/5 - 14. What is w in f(w) = 0?
1/2, 12
Let y(v) be the second derivative of v**4/66 - 6*v**3/11 - 19*v**2/11 - v + 106. Factor y(r).
2*(r - 19)*(r + 1)/11
Let x(g) = -g**3 - 83*g**2 - 587*g - 509. Let f(w) = -3*w**3 - 333*w**2 - 2349*w - 2037. Let p(