) be the third derivative of -a**6/420 + a**5/30 - a**4/7 + 194*a**2. Factor q(c).
-2*c*(c - 4)*(c - 3)/7
Let f(y) = -y**5 + y**4 + y**3 - y. Let l(b) = -11*b**5 + 6*b**4 + 26*b**3 - 10*b**2 - 21*b + 10. Let z = 106 - 112. Let o(s) = z*f(s) + l(s). Factor o(d).
-5*(d - 1)**3*(d + 1)*(d + 2)
Suppose -2*p - 1/4*p**2 - 15/4 = 0. Calculate p.
-5, -3
Let i(h) be the third derivative of -12*h**2 - 1/12*h**4 + 1/15*h**5 - 1/3*h**3 + 1/30*h**6 + 0 - 1/168*h**8 - 1/105*h**7 + 0*h. Factor i(f).
-2*(f - 1)**2*(f + 1)**3
Factor 5/4*d**3 + 245/2 + 20*d**2 + 385/4*d.
5*(d + 2)*(d + 7)**2/4
Solve -14*p**3 - 10 + 3*p + 15*p - 2*p**5 - 2*p**2 - 2*p + 10*p**4 + 2 = 0.
-1, 1, 2
Let f(q) be the first derivative of 25*q**6/2 - 156*q**5/5 + 87*q**4/4 - 2*q**3 + 77. Factor f(l).
3*l**2*(l - 1)**2*(25*l - 2)
Let q(u) = -u**2 - 40*u. Let g(o) = o**2 + 38*o. Let c(k) = 7*g(k) + 6*q(k). Factor c(w).
w*(w + 26)
Let h = 17 + -13. Suppose -5*j = h*p - 11, 0 = 2*j - 0*j - p - 7. Factor -10*z**2 + 0*z**2 + 2*z**2 + 0*z**2 + 4*z**j + 4*z.
4*z*(z - 1)**2
Let b(n) = 3*n**2 - 18*n - 45. Let l(r) be the first derivative of -7*r**3/3 + 37*r**2/2 + 89*r - 4. Let g(y) = 9*b(y) + 4*l(y). Factor g(k).
-(k + 7)**2
Let r be 51/18 + (-11 - 201/(-18)). Factor 0 - 1/2*z + z**2 - 1/2*z**r.
-z*(z - 1)**2/2
Factor 0*b + 3/4*b**2 + 1/4*b**3 + 0.
b**2*(b + 3)/4
Let u be (-1)/4 + 19/76. Let q(p) be the third derivative of -6*p**2 - 1/4*p**4 - 1/20*p**5 + 0*p + 0*p**3 + u + 1/40*p**6. Let q(z) = 0. Calculate z.
-1, 0, 2
Suppose 0 = -2*n, -44 = -4*c + n - 5*n. Let j = c + -6. Solve -2*h**2 + j*h**2 - 10*h + 3*h**3 + 4*h = 0 for h.
-2, 0, 1
Suppose 2*a = 6*a - 8. Suppose 53*c - 113*c + 43*c = -51. Let 1/5*l + 0 + 0*l**4 + 1/5*l**5 + 0*l**a - 2/5*l**c = 0. Calculate l.
-1, 0, 1
Suppose -321 = 18*v - 375. Find u, given that 0 + 0*u - 1/8*u**4 + 1/8*u**2 + 0*u**v = 0.
-1, 0, 1
Let d(n) be the second derivative of n**5/66 + 9*n**4/44 + 10*n**3/33 + 10*n**2 + 24*n. Let l(r) be the first derivative of d(r). Factor l(a).
2*(a + 5)*(5*a + 2)/11
Let m(c) = -13*c**2 - 45*c + 37. Let d(g) = -6*g**2 - 22*g + 18. Let z be 1/((-15)/(-177)) - 4/5. Let k(p) = z*d(p) - 6*m(p). Factor k(q).
4*(q + 3)*(3*q - 2)
Let o(l) be the third derivative of -14*l**2 + 1/30*l**4 + 4/75*l**5 - 1/75*l**6 + 1/420*l**8 - 4/15*l**3 - 4/525*l**7 + 0*l + 0. What is k in o(k) = 0?
-1, 1, 2
Let 75/8*o - 3/8*o**5 + 27*o**3 - 111/4*o**2 + 0 - 33/4*o**4 = 0. What is o?
-25, 0, 1
Let p(h) be the second derivative of h**4/15 + 11*h**3/30 - 3*h**2/10 - 369*h. Let p(r) = 0. Calculate r.
-3, 1/4
Let n(z) be the third derivative of -1681*z**5/300 + 41*z**4/20 - 3*z**3/10 - 24*z**2 - z. Find f, given that n(f) = 0.
3/41
Let r be (-302)/(-10) + (-10 + 4 - -8). Let b = 33 - r. Factor b*k**2 - 4/5*k + 0.
4*k*(k - 1)/5
Let p(t) = 90*t**3 - 1020*t**2 + 1710*t + 1599. Let c(k) = 9*k**3 - 102*k**2 + 171*k + 160. Let m(i) = -21*c(i) + 2*p(i). Factor m(o).
-3*(o - 9)*(o - 3)*(3*o + 2)
Let j(p) be the second derivative of -5*p**4/12 - 5*p**3/3 + 20*p**2 + 23*p - 5. Find h, given that j(h) = 0.
-4, 2
Suppose 64*k - 361*k = 0. Factor -15/8*r - 3/8*r**3 + k + 9/4*r**2.
-3*r*(r - 5)*(r - 1)/8
Let h be 3/21*-1 + 680/56. Suppose -3*y = -6*y + h. Factor 1 - 5/2*s - 2*s**y + 1/2*s**5 + s**2 + 2*s**3.
(s - 2)*(s - 1)**3*(s + 1)/2
Let c(q) = -7*q**2 + 6*q. Let u(x) = 11*x**2 - 9*x. Let s(k) = -k**2 + 15*k. Let a be s(15). Let i = -8 + a. Let z(m) = i*c(m) - 5*u(m). Factor z(t).
t*(t - 3)
Let n(i) = i**2 + 8*i - 150. Let h be n(-17). Let k(s) be the first derivative of 0*s**4 - 1/15*s**5 + 0*s + 0*s**2 + 2 + 1/9*s**h. Factor k(g).
-g**2*(g - 1)*(g + 1)/3
Factor 1/4*z**2 - 6 - 1/2*z.
(z - 6)*(z + 4)/4
Suppose s - 8*s = -s. Let l be 6*5/((-60)/(-4)). Factor s + 2/13*x**l + 2/13*x.
2*x*(x + 1)/13
Factor -19*a**2 - 2 - 11*a**3 - 5*a - 15*a**2 + 4*a - 18*a - 6*a.
-(a + 1)*(a + 2)*(11*a + 1)
Let x(q) be the first derivative of 0*q + 15/2*q**2 - 32 - 25/3*q**3. Factor x(s).
-5*s*(5*s - 3)
Let a(x) = -x**5 - x**4 - 2*x**2. Let g(f) = 12*f**5 - 36*f**4 - 240*f**3 - 416*f**2 - 256*f. Let q(w) = -16*a(w) - g(w). Factor q(o).
4*o*(o + 1)*(o + 4)**3
Let y(s) be the second derivative of s**4/72 + 4*s**3/3 + 58*s. Determine a so that y(a) = 0.
-48, 0
Let v(r) = -9*r**2 + 150*r + 54. Let p be v(17). Factor 3/7*s - 1/7*s**2 + 1/7 - 3/7*s**p.
-(s - 1)*(s + 1)*(3*s + 1)/7
Let i be 4/10*((308/(-21))/11 + 3). Let t be 22*2/12 + -3. Suppose -i + t*d**2 - 2/3*d + 2/3*d**3 = 0. Calculate d.
-1, 1
Let i(m) be the first derivative of 2*m**6/3 + 8*m**5/5 - 4*m**4 - 8*m**3/3 + 6*m**2 + 100. Solve i(u) = 0 for u.
-3, -1, 0, 1
Let m(o) be the second derivative of o**7/21 + o**6/5 - 2*o**4/3 + 42*o + 3. Factor m(v).
2*v**2*(v - 1)*(v + 2)**2
Let z(x) be the second derivative of x**6/75 + 17*x**5/50 + 31*x**4/30 + x**3 + 69*x. Factor z(i).
2*i*(i + 1)**2*(i + 15)/5
Let m(u) = 5*u**2 + u - 2. Let h be m(1). Solve 3*a**2 + 939*a**5 - 3*a**3 - 4*a**4 - 936*a**5 + a**h = 0 for a.
-1, 0, 1
Let t = -99 - -695/7. Suppose 0 = 16*x + 8*x - 96. Let -2/7*d**3 - 2/7*d**2 + 2/7*d**x + 0 + t*d = 0. Calculate d.
-1, 0, 1
Let i be (-18)/(-24)*2*4/3. Let m(k) be the first derivative of -6 - 1/7*k**i + 2/21*k**3 - 4/7*k. Suppose m(h) = 0. Calculate h.
-1, 2
Let n be -26 + 14 + 62/5. Solve n*j**2 - 4*j + 10 = 0 for j.
5
Factor -2/21*g**3 - 2/3*g - 10/21*g**2 - 2/7.
-2*(g + 1)**2*(g + 3)/21
Let q be 12 + -19 + 6*(0 + 2). Let m(z) be the first derivative of -1/6*z**2 - 11 - 1/3*z**3 - 1/4*z**4 - 1/15*z**q + 0*z. Determine f, given that m(f) = 0.
-1, 0
Let p(n) be the first derivative of 17/6*n**3 - 9/4*n**4 - 2*n + 1/2*n**5 + 0*n**2 + 17. Find m such that p(m) = 0.
-2/5, 1, 2
Let z(v) be the first derivative of -16/21*v**3 + 14 + 0*v - 19/14*v**4 - 2/5*v**5 + 4/7*v**2. Determine p, given that z(p) = 0.
-2, -1, 0, 2/7
Suppose 432/11*m + 7776/11 + 6/11*m**2 = 0. What is m?
-36
Suppose 27 = -51*a + 60*a. Let r be 13 - (1 + (a - 7)). Find l, given that -32/3*l**5 + 46/3*l**2 - r*l**4 + 2/3 + 14/3*l**3 + 6*l = 0.
-1, -1/4, 1
Let o(b) be the second derivative of -7*b + 0*b**2 - 5/9*b**3 - 11/18*b**4 + 0 - 1/45*b**6 - 7/30*b**5. Factor o(j).
-2*j*(j + 1)**2*(j + 5)/3
Let f(w) be the third derivative of w**7/525 + 11*w**6/300 + 29*w**5/150 - 7*w**4/12 - 10*w**3 + 2*w**2 - 216*w. Find r such that f(r) = 0.
-5, -3, 2
Let i be 3 - (-2)/(-6)*0. Find t such that 25*t**2 - 9*t**3 - 6*t**3 - t**3 - 10*t + 5*t**5 + t**i - 5*t**4 = 0.
-2, 0, 1
Let j(b) be the first derivative of b**6/30 - 12*b**5/25 + 29*b**4/20 - 6*b**3/5 - 310. Suppose j(f) = 0. Calculate f.
0, 1, 2, 9
Let g(r) be the first derivative of -r**7/1400 + 13*r**6/1800 + r**5/60 + 26*r**3/3 + 21. Let i(j) be the third derivative of g(j). Factor i(k).
-k*(k - 5)*(3*k + 2)/5
Let r = -399 + 399. Let z = -2 - -2. Factor z*d + 3/2*d**2 + r + 3/2*d**3.
3*d**2*(d + 1)/2
Let w be 6*(-8)/12 + 49/12. Let u(v) be the third derivative of 0 + v**2 + 0*v**3 - 1/60*v**5 + 0*v - w*v**4. Factor u(l).
-l*(l + 2)
Let j(p) = -2*p**2 + 10*p - 8. Let r(f) = f**2 - 5*f + 4. Let i(s) = 2*j(s) + 5*r(s). Let i(h) = 0. What is h?
1, 4
Suppose -86 = 3*s - 35*s + 10. Solve 4/11*w**2 + 2/11*w**5 - 2/11*w**4 + 2/11*w - 2/11 - 4/11*w**s = 0 for w.
-1, 1
Let s = 49 + -45. Suppose -s*f = -3*m - 0*m + 32, -2*m + 2*f = -18. Find h such that -1/3*h**2 - 1/3*h**3 + 1/3*h**m + 1/3*h + 0 = 0.
-1, 0, 1
Factor 22*p**3 - 15*p**3 - 40*p - 11*p**3 + 28*p**2.
-4*p*(p - 5)*(p - 2)
Let b(j) be the second derivative of -1/5*j**2 + 0 - 1/30*j**4 - 7*j + 2/15*j**3. Find l, given that b(l) = 0.
1
Let n(j) be the first derivative of -4*j**3/3 - 10*j**2 + 36. Let n(c) = 0. What is c?
-5, 0
Suppose 4*x + 1 = -2*s + 3*s, 0 = -x + s - 1. Let w be -1 + 21/9 + 0. Find j such that 2/3*j**3 + x + 2*j**2 + w*j = 0.
-2, -1, 0
Let o(f) = -37*f + 631. Let d be o(17). Factor 0*x**d + 0 - 1/7*x**4 - 3/7*x**3 + 0*x.
-x**3*(x + 3)/7
Let l = -5151 - -5151. Find p, given that -4/3*p**2 + l - 2/9*p**3 - 10/9*p = 0.
-5, -1, 0
Let f(j) = 135*j**2 - 220*j + 80. Let n(a) = a**2 + 2. Let t(q) = f(q) - 30*n(q). Determine r so that t(r) = 0.
2/21, 2
Let c(h) be the third derivative of -h**8/288 + 31*h**7/315 - 5*h**6/12 + 113*h**5/180 - 13*h**4/144 - 5*h**3/6 - 526*h**2. Find v, given that c(v) = 0.
-2/7, 1, 15
Let j(u) be the third derivative of