 that 9/2*p - 3/2 + 3/2*p**3 - r*p**2 = 0.
1
Factor -10 + 28*s - 2 + s**2 - 17*s.
(s - 1)*(s + 12)
Find t such that -2/9*t**3 - 4/3*t**2 + 0 - 16/9*t = 0.
-4, -2, 0
Let p(i) be the first derivative of -19 + i - 55/8*i**4 - 19/10*i**5 - 17/2*i**3 - 13/4*i**2. Factor p(v).
-(v + 1)**3*(19*v - 2)/2
Let y(z) be the second derivative of -z**5/70 - 3*z**4/14 - 23*z**3/21 - 15*z**2/7 + 115*z. Factor y(h).
-2*(h + 1)*(h + 3)*(h + 5)/7
Let v(f) be the first derivative of -f**6/10 + 3*f**5/10 + 5*f**4/4 - 3*f**3 + 30*f + 22. Let g(b) be the first derivative of v(b). Factor g(j).
-3*j*(j - 3)*(j - 1)*(j + 2)
Factor -17*v**2 + 2*v**2 - 3*v**3 + 6*v**3.
3*v**2*(v - 5)
Let g(k) = k**3 + 18*k**2 + k + 21. Let a be g(-18). Factor -3/5*r**2 + 18/5*r + 0 - 3/5*r**a.
-3*r*(r - 2)*(r + 3)/5
Let y(b) = b**3 + 5*b**2 - b - 2. Let m(c) = -2*c**3 - 9*c**2 + 2*c + 4. Let a(w) = 3*m(w) + 5*y(w). Factor a(f).
-(f - 1)*(f + 1)*(f + 2)
Let p = 8421/13663 + -1/1051. Factor -2/13*q**2 + 10/13*q - p.
-2*(q - 4)*(q - 1)/13
Suppose 9 = 2*i + 3*v, 0*v - 3*v = 5*i - 9. Let j(d) be the first derivative of -1 - d**2 + i*d + 0*d**3 + 1/2*d**4. Factor j(y).
2*y*(y - 1)*(y + 1)
Let v be (-6)/14 - (-555)/(-175) - -4. Let d(l) be the second derivative of v*l**3 - 1/10*l**4 - 11*l + 1/100*l**5 - 4/5*l**2 + 0. Factor d(m).
(m - 2)**3/5
Let d = -60703 - -8073574/133. Let t = 27/19 - d. Factor t*k + 3/7*k**2 + 3/7.
3*(k + 1)**2/7
Let h(c) be the third derivative of 2*c**7/105 - 2*c**6/15 - 2*c**5/5 + 2*c**4/3 + 10*c**3/3 - 25*c**2 + 3. Factor h(n).
4*(n - 5)*(n - 1)*(n + 1)**2
Let g(q) be the second derivative of q**2/2 - 11*q. Let m(j) = 4*j**3 - 4*j**2 - 4*j. Let h(y) = -4*g(y) - m(y). Factor h(w).
-4*(w - 1)**2*(w + 1)
Let y(m) be the second derivative of 17689*m**4/24 + 133*m**3/3 + m**2 + 3*m + 4. Factor y(w).
(133*w + 2)**2/2
Factor 3/2*b**2 + 18*b + 81/2.
3*(b + 3)*(b + 9)/2
Solve 48*m - 175 - 9*m**2 - 6*m**2 + 139 = 0.
6/5, 2
Let j(y) be the second derivative of 0 + 0*y**2 - 25*y - 1/20*y**5 + 0*y**3 + 0*y**4. Find l, given that j(l) = 0.
0
Let q(a) be the third derivative of -a**6/660 - 4*a**5/165 - a**4/12 + 20*a**3/33 - 516*a**2. What is m in q(m) = 0?
-5, -4, 1
Factor 3943*h**3 + 7 - 38*h**2 + 18*h - 3921*h**3 + 0*h**4 - 2*h**4 - 7.
-2*h*(h - 9)*(h - 1)**2
Let l = -31 - -28. Let z be l/((-24)/(-14))*12/(-14). Determine f so that z*f**4 + 27/2*f**2 + 21/2*f + 15/2*f**3 + 3 = 0.
-2, -1
Let h(l) be the second derivative of -l**4/42 - 86*l**3/3 - 12943*l**2 - 11*l + 3. Let h(k) = 0. What is k?
-301
Suppose 0 = -7*l + 7 + 7. Let 36*r**l - 3*r**3 - 20*r + 8*r**4 + 8 - 20*r**5 + 20*r**3 + 23*r**3 - 52*r**2 = 0. Calculate r.
-1, 2/5, 1
Find x, given that x**3 + 19*x + 23*x - 42*x + 2*x**2 - 3*x**4 = 0.
-2/3, 0, 1
Let f = -2383 + 2386. Factor -12*y**2 - 144 + 72*y + 2/3*y**f.
2*(y - 6)**3/3
Find r, given that -1/4*r - 9/4*r**2 + 9/4 + 1/4*r**3 = 0.
-1, 1, 9
Let q = -92 + 96. Factor -354*z**q - 48*z + 32*z**2 + 350*z**4 + 5*z**3 - z**3.
-4*z*(z - 2)**2*(z + 3)
Let h(y) = 4*y**3 + 20*y**2 + 6*y - 36. Suppose 12 + 23 = 5*l. Let o(s) = -4*s**3 - 20*s**2 - 5*s + 36. Let u(r) = l*h(r) + 6*o(r). Factor u(w).
4*(w - 1)*(w + 3)**2
Let i = 344/543 + 6/181. Let n(x) = -x**2 - 9*x + 4. Let f be n(-9). Factor 2*h + 2/3*h**f + 0 - 10/3*h**2 + i*h**3.
2*h*(h - 1)**2*(h + 3)/3
Suppose 80*s**3 + 47*s**2 + 55*s - 101*s**2 - 20*s**4 - 10 - 51*s**2 = 0. Calculate s.
1/2, 1, 2
Let p(x) be the second derivative of 1/210*x**5 + 1/42*x**4 + 1/21*x**3 + 0 + 3*x + x**2. Let r(f) be the first derivative of p(f). Find t, given that r(t) = 0.
-1
Let h(p) = p**3 - p**2 + 3*p - 4. Let d be h(2). Factor -d*w + w**2 - 4 + 2*w - 2*w**2.
-(w + 2)**2
Let p(l) be the second derivative of 5*l**4/12 - 10*l**3/3 - 70*l. Factor p(n).
5*n*(n - 4)
Factor 2*s**2 - 9*s + 7 - 13 + 7*s + 7*s - s.
2*(s - 1)*(s + 3)
Let x(j) be the first derivative of -3 + j**4 + 0*j**2 + 4/5*j**5 + 0*j**3 + 0*j. Determine a, given that x(a) = 0.
-1, 0
Determine i so that 2/13*i - 60/13 + 2/13*i**2 = 0.
-6, 5
Suppose 13*h + 307 = 66*h + 42. Factor 0 - 3/2*u**2 + 3/2*u**4 + 1/2*u**h - u + 1/2*u**3.
u*(u - 1)*(u + 1)**2*(u + 2)/2
Suppose -47*d**2 + 8*d**3 + 56*d + 24*d - 3*d**2 + 35*d - 70 - 3*d**3 = 0. Calculate d.
1, 2, 7
Factor 15/8*f**2 + 39/8*f + 9/4.
3*(f + 2)*(5*f + 3)/8
Solve 27/4*z**3 + 0 + 6*z**4 - 81*z - 81*z**2 - 3/4*z**5 = 0.
-3, -1, 0, 6
Suppose -14*d + 389 = -143. Let 2 + 11*a**2 - 6 + 13*a**3 - 7*a**4 - 8*a - 43*a**5 + d*a**5 = 0. What is a?
-2, -1, -2/5, 1
Let a(y) be the second derivative of -y**4/24 + 5*y**3/36 - y**2/6 + 201*y. Factor a(c).
-(c - 1)*(3*c - 2)/6
Let u(s) be the third derivative of s**7/30 - 29*s**6/120 + 5*s**5/12 - s**4/8 - s**2 + 61*s. Find m such that u(m) = 0.
0, 1/7, 1, 3
Suppose 0 = -311*n + 307*n - c + 1, -4*n + c + 15 = 0. Factor n - 2*v**2 - 16/3*v.
-2*(v + 3)*(3*v - 1)/3
Let i(h) be the second derivative of h**5/12 + h**4/8 - h**3/3 - 20*h**2 + 31*h. Let u(y) be the first derivative of i(y). Factor u(k).
(k + 1)*(5*k - 2)
Let l = 84961/120 + -708. Let d(h) be the third derivative of 0 - l*h**5 - 3*h**2 + 1/8*h**4 + 0*h - 3/4*h**3. Let d(w) = 0. Calculate w.
3
Suppose 0 = 4*p - 4*m + 16, 3*p - 18*m + 23*m = 20. Factor 2/7*s**5 + p*s + 0 - 2/7*s**2 - 6/7*s**4 + 6/7*s**3.
2*s**2*(s - 1)**3/7
Let c = 39158/88065 - 2/9785. Solve -c*j**4 - 4/9 + 2/9*j - 4/9*j**3 + 8/9*j**2 + 2/9*j**5 = 0 for j.
-1, 1, 2
Solve -19*x + 31*x + 4*x**2 + 70 - 62 = 0.
-2, -1
Let n(h) = -h**5 + h**4 - h**3 + 2. Let m(a) = 12*a**5 - 4*a**4 + 20*a**3 - 44*a**2 + 48*a - 48. Let c(f) = -m(f) - 16*n(f). Let c(w) = 0. Calculate w.
-2, 1, 2
Suppose 25/9 + 1/9*d**3 + 11/9*d**2 + 35/9*d = 0. What is d?
-5, -1
Let h(l) be the first derivative of 5*l**3/3 - 150*l**2 + 4500*l + 110. Determine s, given that h(s) = 0.
30
Let s(y) be the first derivative of -3*y**4/4 - 831*y**3 - 690561*y**2/2 - 63761799*y - 664. Suppose s(a) = 0. What is a?
-277
Let m = -1578 + 6313/4. Solve -3/4*i**2 + m*i**4 - 1/2 - 1/4*i**3 + 5/4*i = 0 for i.
-2, 1
Let b(k) be the second derivative of -k**4/9 + 20*k**3/9 - 32*k**2/3 - 29*k - 2. Suppose b(i) = 0. Calculate i.
2, 8
Suppose -2*j + 4*j = 4. Let f = 7 + -4. Let -j + 3*r**f + 14 - r**2 - 8*r**2 = 0. Calculate r.
-1, 2
Let u = 7 - 5. Let b = -51 + 53. Solve 4*m**u - 3*m**b - 2*m - 2*m**3 + 3*m**2 = 0 for m.
0, 1
Let f(u) be the second derivative of -1/165*u**6 - 9*u + 0*u**2 + 3/110*u**5 + 0*u**3 + 0 - 1/33*u**4. Factor f(m).
-2*m**2*(m - 2)*(m - 1)/11
Let a(t) be the third derivative of -2*t**7/735 - t**6/35 - t**5/21 - t**2 + 80. Find z such that a(z) = 0.
-5, -1, 0
Let c(m) be the first derivative of 0*m - 2 - 4/95*m**5 - 1/57*m**6 + 0*m**2 - 1/38*m**4 + 0*m**3. Factor c(q).
-2*q**3*(q + 1)**2/19
Let g be (0 + 1 - 1) + 16. Let k be g*3/6 - 3. Let x(t) = 8*t**2 + 16*t + 8. Let y(b) = -9*b**2 - 17*b - 8. Let p(o) = k*x(o) + 4*y(o). Factor p(l).
4*(l + 1)*(l + 2)
Let g = 3545 + -3543. Find q, given that -14/5*q**3 + 14/5*q + 12/5*q**4 - 2*q**g - 2/5 = 0.
-1, 1/6, 1
Factor -242*z + 1960*z**3 - 2 + 2 - 1962*z**3 + 44*z**2.
-2*z*(z - 11)**2
Let d(k) be the second derivative of -3*k**6/10 + 14*k**5/5 - 19*k**4/4 + 5*k**3/3 - 7*k + 10. Find g, given that d(g) = 0.
0, 2/9, 1, 5
Let w(m) = 9*m - 2. Let x be w(-2). Let k be (-3 - x/(-6))*-3. Find q such that 8*q**2 - q**4 - 2*q**5 + k*q - 2*q**5 - 7*q**4 - 15*q = 0.
-1, 0, 1
Let s(x) be the third derivative of -x**7/2520 + x**5/120 - x**4/36 + 5*x**3/3 + x**2. Let d(t) be the first derivative of s(t). Factor d(b).
-(b - 1)**2*(b + 2)/3
Let b(i) be the third derivative of 0*i**5 + 0 + 0*i**4 - 3*i**2 + 0*i + 0*i**3 - 1/540*i**6 - 1/945*i**7. Let b(m) = 0. Calculate m.
-1, 0
Let f(i) be the second derivative of -5*i**4/36 - 10*i**3 - 175*i**2/6 - 50*i. Factor f(u).
-5*(u + 1)*(u + 35)/3
Let z(n) be the third derivative of n**5/15 - 3*n**4 + 54*n**3 + 4*n**2 - 54*n. Suppose z(t) = 0. Calculate t.
9
Let j(c) = -4*c**3 + 28*c**2 - 44*c + 12. Let m(a) be the first derivative of a**4/4 - 3*a**3 + 15*a**2/2 - 4*a - 2. Let w(t) = -3*j(t) - 8*m(t). Factor w(y).
4*(y - 1)**3
Solve 32*o - o**3 - 115*o - 2198*o**2 + 2228*o**2 - 142*o = 0 for o.
0, 15
Let l(m) be the first derivative of 3*m**5/10 + 9*m**4/8 + m**3 - 13. Factor l(o).
3*o**2*(o + 1)*(o + 2)/2
Let l = 437 + -8739/20. Let y(z