 c**7/2520 - c**6/720 + c**5/120 + c**4/12 - 9*c. Let n(w) be the third derivative of m(w). Factor n(g).
(g - 1)**2*(g + 1)
Suppose -2*i + 7*i + 2 = -4*q, 0 = -3*q + 2*i + 10. Factor -4*b + 6*b**2 - 7*b**2 - b**q - 2.
-2*(b + 1)**2
Let w be 16/14*(-4 - 60/(-8)). Suppose p + 4*r - 6 = 0, 1 - 10 = -w*p - r. Factor 2/9*t**4 - 8/9*t**3 + 8/9*t - 8/9 + 2/3*t**p.
2*(t - 2)**2*(t - 1)*(t + 1)/9
Let f(o) be the first derivative of 3*o**4/4 - 18*o**3 - 3*o**2/2 + 54*o + 315. Suppose f(y) = 0. Calculate y.
-1, 1, 18
Let h = 79 - 85. Let g be (-1 - 2/h)/(2/(-16)). Suppose 8/3*l + g + 1/3*l**2 = 0. Calculate l.
-4
Factor 8522*r**3 - 8526*r**3 - 38*r**2 - 92*r - 11*r**2 + 13*r**2 - 60.
-4*(r + 1)*(r + 3)*(r + 5)
Let u(j) = -10 - 66*j**2 + 26*j**2 + 13*j**3 + 59*j - 22. Let i(n) = 32*n**3 - 100*n**2 + 148*n - 80. Let m(s) = 5*i(s) - 12*u(s). Factor m(x).
4*(x - 2)**2*(x - 1)
Suppose -14 = -4*r - k, -7*k + 4*k + 22 = 2*r. Let p(t) = t**3 - 5*t**2. Let h be p(5). Determine g, given that h*g - 4/5 + 1/5*g**r = 0.
-2, 2
Let m(g) be the third derivative of -g**6/15 - 31*g**5/6 - 131*g**4/4 + 36*g**3 + 215*g**2 - 2. Factor m(o).
-2*(o + 3)*(o + 36)*(4*o - 1)
Let h(f) be the second derivative of 0*f**4 + 0 - 1/10*f**5 - 6*f + 0*f**3 + 0*f**2. Factor h(i).
-2*i**3
Let b(w) = -9*w - 7*w - 7*w**2 + 2*w**5 + 7*w**4 + 14*w. Let t(m) = -m**5 - m**4 + m**2 + m. Let n(g) = b(g) - 3*t(g). Factor n(u).
5*u*(u - 1)*(u + 1)**3
Let v(z) be the first derivative of -4*z**3 - 5*z**2 + 2*z + 189. Solve v(n) = 0 for n.
-1, 1/6
Let b(s) be the third derivative of s**8/84 + 46*s**7/735 + s**6/35 + 295*s**2. Determine t so that b(t) = 0.
-3, -2/7, 0
Let a(m) = -6*m - 6. Let l be a(-1). Let s(n) be the second derivative of l + 27/100*n**5 - 4*n - 3/20*n**4 - 3/10*n**2 - 1/2*n**3. Solve s(z) = 0.
-1/3, 1
Let y be (35/70)/((-1)/18) + 11. Solve 2/13*z**3 - 2/13 - 2/13*z + 2/13*z**y = 0 for z.
-1, 1
Let y(k) = -k + 11. Let c be y(7). Suppose 0 = -3*x - c*g, 3*x + g - 5*g = 24. Determine i, given that x*i**3 + 3*i**4 - 2*i**3 - 5*i**3 = 0.
0, 1
Let k = -2 - -7. Suppose k*y - 25 + 10 = 0. Find s such that -3*s + 4*s + 8*s**2 - 6*s**3 + 4*s + y*s = 0.
-2/3, 0, 2
Find v such that -48*v**2 - 46*v**2 + 98*v**2 + 4*v = 0.
-1, 0
Let k = 51 - 73. Let n be 490/1001 + 4/k. Determine y so that 2/13*y**3 + 2/13*y**2 - n*y + 0 = 0.
-2, 0, 1
Find n, given that -10*n - 60*n**2 + 75*n**2 - 110*n**2 + 15 + 20*n**4 + 45*n + 25*n**3 = 0.
-3, -1/4, 1
Let g(j) be the third derivative of 0 + 1/60*j**4 + 0*j + 0*j**3 + 12*j**2 + 1/525*j**7 - 1/150*j**5 - 1/300*j**6. Factor g(y).
2*y*(y - 1)**2*(y + 1)/5
Let d = -301/6 + 2119/42. Let l(q) be the first derivative of 20/21*q**3 + 7 + 2/7*q + 5/7*q**4 + 1/21*q**6 + d*q**5 + 5/7*q**2. Factor l(m).
2*(m + 1)**5/7
Let q(y) be the third derivative of 3/320*y**6 + 0*y**3 + 0*y**5 + 41*y**2 + 0*y**4 + 0*y + 0 - 1/280*y**7 - 1/896*y**8. Factor q(p).
-3*p**3*(p - 1)*(p + 3)/8
Suppose 0 = 32*g - 33*g + 2*v + 1, 0 = -v + 1. Find c such that 6/7*c - 9/7*c**g + 0 + 3/7*c**2 = 0.
-2/3, 0, 1
Let r = -10 + 19. Solve r*p - 3 + 27*p**2 + 201*p**3 - 91*p**3 - 95*p**3 = 0.
-1, 1/5
Let z(f) be the second derivative of -f**4/18 - 4*f**3/3 + 13*f**2/3 + f - 2. Find l, given that z(l) = 0.
-13, 1
Let v(z) be the first derivative of 10*z**3/3 - 17*z**2 + 12*z + 85. Factor v(t).
2*(t - 3)*(5*t - 2)
Let i = 60 - 58. Factor -15*n**3 + 20*n**4 - 9*n**4 - 6*n**4 + 10*n**i.
5*n**2*(n - 2)*(n - 1)
Let g(v) = 2*v**2. Let x(n) = -2*n**2 + n - 1. Let i(c) = 3*g(c) + 2*x(c). Let s be i(1). Factor 12*q + 11*q - 3 - q**s - 19*q.
-(q - 3)*(q - 1)
Let z(v) be the third derivative of v**8/336 - v**7/84 + 15*v**3/2 + 13*v**2. Let d(k) be the first derivative of z(k). Factor d(r).
5*r**3*(r - 2)
Let t(k) be the first derivative of k**4/20 - 8*k**3/15 + 339. Factor t(h).
h**2*(h - 8)/5
Let f(a) be the first derivative of 3/8*a**2 + 0*a + 3/16*a**4 + 1/2*a**3 - 2. Factor f(n).
3*n*(n + 1)**2/4
Let m be (1 - -2) + (-247)/91. Let k(l) be the first derivative of 2 + m*l**3 - 4/7*l + 1/7*l**2. Solve k(b) = 0.
-1, 2/3
Let k(t) = -t - 1. Let c be k(-3). Suppose -3*b + 4*p + 4 = 0, p = 2*b + 14 - 20. Factor 8/3*x**3 + 2/3 + 2/3*x**4 + 8/3*x + b*x**c.
2*(x + 1)**4/3
Suppose -3*a + 8 = n, 3*n = -13*a + 14*a + 4. Solve -5/3*g**a + 0*g + 0 + 5/3*g**4 + 0*g**3 = 0 for g.
-1, 0, 1
Let p(x) be the third derivative of -x**5/30 + 4*x**4/3 + 3*x**2 - 14*x. Factor p(b).
-2*b*(b - 16)
Let h be 6/(-33) - 12/(-66). Let w(v) be the second derivative of -1/2*v**3 + 2*v - 9/20*v**5 + h - v**4 + 0*v**2. What is n in w(n) = 0?
-1, -1/3, 0
Suppose 4 = 2*z - 4*c, -5*z = -5*c + 177 - 187. Factor 3/2*p**z + 2*p - 2.
(p + 2)*(3*p - 2)/2
Let h(j) be the second derivative of -j**5/12 - 25*j**4/36 - 20*j**3/9 - 10*j**2/3 - 111*j. Factor h(k).
-5*(k + 1)*(k + 2)**2/3
Suppose 0 = 20*d - 5*d - 75. Determine f so that -3/5*f + 6/5*f**3 - 12/5*f**2 + 6/5*f**4 + 6/5 - 3/5*f**d = 0.
-1, 1, 2
Let h(g) be the first derivative of 2*g**6/21 - 4*g**5/7 + 3*g**4/7 + 20*g**3/21 - 8*g**2/7 - 31. Determine b, given that h(b) = 0.
-1, 0, 1, 4
Let 49/10*y + 0 + 1/10*y**3 + 7/5*y**2 = 0. What is y?
-7, 0
Let b(d) be the second derivative of -d**4/60 + 2*d**2/5 - 20*d + 3. Factor b(l).
-(l - 2)*(l + 2)/5
Let z(l) be the third derivative of l**6/24 - 5*l**5/12 + 5*l**4/3 - 10*l**3/3 + 2*l**2 - 6*l. Suppose z(q) = 0. What is q?
1, 2
Let n(h) be the third derivative of h**8/1848 - 2*h**7/1155 - h**6/220 + 2*h**5/165 + h**4/33 - 53*h**2 + 1. Solve n(c) = 0 for c.
-1, 0, 2
Let f be 392/224 - 132/112. What is g in 0 - 8/7*g**3 + 6/7*g + 2/7*g**5 + f*g**2 - 4/7*g**4 = 0?
-1, 0, 1, 3
Suppose -v - 3*t + 31 = 0, 0 = -7*v + 3*v - 4*t + 100. Let n = 160/7 - v. Find x such that 6/7*x**2 + 2/7 + 2/7*x**3 + n*x = 0.
-1
Let z be (-3)/(5 - 4)*1*-1. Let -2 + 3*x - 11*x**4 + 23*x**3 + 22*x - z*x - 23*x**2 - 11*x + 2*x**5 = 0. Calculate x.
1/2, 1, 2
Let f(m) be the first derivative of 10*m**3 - 13 + 0*m - 5/4*m**4 - 45/2*m**2. Suppose f(p) = 0. What is p?
0, 3
Let y(h) be the third derivative of 0*h**3 + 0 + 3/20*h**4 + 1/200*h**6 - 12*h**2 + 0*h - 1/20*h**5. Solve y(u) = 0.
0, 2, 3
Let k(t) be the second derivative of -t**5/160 - t**4/64 + 13*t**2/2 + 11*t. Let z(j) be the first derivative of k(j). Find h, given that z(h) = 0.
-1, 0
Let a(n) be the first derivative of 3*n**5 - 9*n**4/4 - 12*n**3 - 6*n**2 + 20. Find y such that a(y) = 0.
-1, -2/5, 0, 2
Suppose 4*x = x - 90. Let v be (x/18)/((-1)/3). Factor -2*i**2 - 4*i - i**3 - 3*i**3 - 2*i**2 + 2*i**4 - i**v + 7*i**3.
-i*(i - 2)**2*(i + 1)**2
Factor 19 + 52*n - 3 - 64*n**2 + 0 + 1 - 5.
-4*(n - 1)*(16*n + 3)
Let k(g) be the third derivative of g**6/72 - g**5/24 - 5*g**4/12 - 8*g**3/3 - 7*g**2. Let t(m) be the first derivative of k(m). Factor t(b).
5*(b - 2)*(b + 1)
Let c(k) be the first derivative of -k**3/9 + 8*k**2/3 + 17*k/3 - 42. Factor c(z).
-(z - 17)*(z + 1)/3
Let f(i) be the third derivative of i**7/70 + 3*i**6/20 + i**5/5 - 3*i**4/4 - 5*i**3/2 - i**2 - 3*i. Suppose f(z) = 0. Calculate z.
-5, -1, 1
Let i = -1209 + 1209. Let o(c) be the second derivative of 0 + 0*c**3 + 0*c**4 + 2*c + 1/195*c**6 + i*c**5 + 0*c**2. Factor o(p).
2*p**4/13
Find j such that -14/9*j**2 - 26/9*j**3 - 10/9*j**4 + 0 + 2/9*j**5 + 0*j = 0.
-1, 0, 7
Let z = -112 - -50. Let a = z + 65. Factor 2/3*k - 2/9 + 2/9*k**a - 2/3*k**2.
2*(k - 1)**3/9
Suppose 0 = -3*q + 5*w + 734, -4*w = 4*q - 0*q - 968. Factor 4*x**3 - 99 - 26*x + q + 218*x + 52*x**2.
4*(x + 1)*(x + 6)**2
Factor 4*v**4 + 6*v**3 - 13*v**4 - v**4 + 2*v**2 + 2*v**2 + 12*v**4.
2*v**2*(v + 1)*(v + 2)
Let q(p) be the second derivative of -p**6/120 + p**4/2 + 11*p**3/3 - 18*p. Let i(k) be the second derivative of q(k). Solve i(s) = 0.
-2, 2
Let a(g) be the second derivative of g**8/2940 + 5*g**3/2 - g. Let k(w) be the second derivative of a(w). Find z, given that k(z) = 0.
0
Let z(v) be the second derivative of 15*v**4/4 - 7*v**3 + 9*v**2/2 + 938*v. Suppose z(o) = 0. What is o?
1/3, 3/5
Factor 6/7*s**3 + 4/7*s**2 + 0*s + 0.
2*s**2*(3*s + 2)/7
Suppose 6 = 5*r - 2*p, -14 = 3*r - 8*r - 2*p. Let t be r*(3 + 2 - 4). Factor 3/4 - 1/2*w - 1/4*w**t.
-(w - 1)*(w + 3)/4
Let t = -39 + 45. Let c(f) = 18*f**3 + 16*f**2 + 4*f. Let i(b) = -37*b**3 - 32*b**2 - 8*b. Let r(l) = t*i(l) + 13*c(l). Factor r(g).
4*g*(g 