w + 35. Let c(z) be the first derivative of q(z). Factor c(m).
-2*m*(m + 4)/9
Let c(g) be the first derivative of -g**7/210 - g**6/90 - 10*g**3/3 + 10. Let l(r) be the third derivative of c(r). Factor l(z).
-4*z**2*(z + 1)
Suppose -i = -3*g - 0*i - 11, 1 = g - 5*i. Let a = -2 - g. Factor -4*h + 2*h**3 - 2 - a*h**2 + 9 - 7.
2*h*(h - 2)*(h + 1)
Let j be (-3)/(-20) - (-177)/1770. Factor -1/2 - q**2 + j*q**3 + 5/4*q.
(q - 2)*(q - 1)**2/4
Suppose 0 = -62*h - 31*h. Let s(l) be the second derivative of h - 2/3*l**4 - 3/10*l**5 - 8*l + 5/3*l**3 + 2*l**2. Solve s(u) = 0.
-2, -1/3, 1
Let f(y) = 4*y**3 - 31*y**2 - 7*y + 12. Let c be f(8). Factor -65*p**2 - c + 10 + 93 - 5*p**4 + 7 + 15*p - 35*p**3.
-5*(p - 1)*(p + 2)*(p + 3)**2
Let d(r) be the third derivative of r**7/168 - r**6/72 - 19*r**3/6 + 39*r**2. Let q(f) be the first derivative of d(f). Factor q(c).
5*c**2*(c - 1)
Let k(f) be the second derivative of -f**5/120 + f**4/24 - f**3/12 - 13*f**2 - 3*f - 6. Let i(w) be the first derivative of k(w). Let i(s) = 0. Calculate s.
1
Let l = -8716/9 + 970. Suppose 0*h - 6 = -3*h. Factor 4/9*p**h - 4/9 + l*p**3 - 14/9*p.
2*(p - 1)*(p + 1)*(7*p + 2)/9
Let h = -48 - -88. Let s be ((-24)/h)/((-6)/4). Suppose -1/5*y**2 - 3/5*y - s = 0. Calculate y.
-2, -1
Let w(c) = -7*c**3 + 95*c**2 - 1355*c + 6755. Let n(h) = -8*h**3 + 96*h**2 - 1356*h + 6756. Let p(i) = 5*n(i) - 6*w(i). Factor p(y).
2*(y - 15)**3
Let c(f) be the third derivative of 0*f + 0*f**3 + 0*f**4 - 1/30*f**5 + 12*f**2 + 1/300*f**6 + 0. Factor c(o).
2*o**2*(o - 5)/5
Let c = -2030 - -2033. Factor -3/5*d**c + 3/5*d - 3/5*d**4 + 0 + 3/5*d**2.
-3*d*(d - 1)*(d + 1)**2/5
Let j = 60/11 - 5122/935. Let y = 496/595 - j. Factor -y*n**2 - 2/7*n**3 - 4/7*n + 0.
-2*n*(n + 1)*(n + 2)/7
Let z be (-4 + 8)*2/4. Let l be 158/30 + 292 + -297. Factor 2/15*t - l + 2/15*t**z.
2*(t - 1)*(t + 2)/15
Let i = -16964 - -16968. Find p, given that 1/4*p**i - 5/4*p**2 + 1/2*p**3 - 3/2*p + 0 = 0.
-3, -1, 0, 2
Let r(w) be the third derivative of -w**8/4032 + w**7/126 + w**5/20 + 24*w**2. Let m(o) be the third derivative of r(o). Determine z, given that m(z) = 0.
0, 8
Let n be 1/(-10) + ((-23001)/(-170))/33. Find c such that -2/19*c**3 - 2/19*c**n + 2/19*c + 0 + 2/19*c**2 = 0.
-1, 0, 1
What is n in -8*n - 2/3*n**2 + 0 = 0?
-12, 0
Let a = -6 + 9. Let k(x) = 3 - 23*x**4 - 3*x**3 + 7*x**2 - a*x**2 + 35*x**4. Let y(r) = -23*r**4 + 7*r**3 - 7*r**2 - 5. Let l(d) = 5*k(d) + 3*y(d). Factor l(o).
-o**2*(3*o - 1)**2
Let p be (-2 + 11)/(-3)*(-6 - 1). What is t in -12*t - 17*t**2 + 35*t**2 - p*t**2 = 0?
-4, 0
Suppose 0 = u + u - 4, 4*y + 4*u = 16. Factor 2 - 3*i**y - 8 - 3*i + 6.
-3*i*(i + 1)
Let w(q) = 2*q**2 + 13*q - 18. Let d be w(-8). Factor -2*v**3 + 21 + 31 + 4*v**3 - d*v - 8*v**2 - 16.
2*(v - 3)**2*(v + 2)
Let u(f) = -2*f**2 + 5*f - 7. Let r(p) = -3*p**2 + 9*p - 15. Let c = 20 + -8. Suppose -2*i = -c + 4. Let v(g) = i*r(g) - 9*u(g). Suppose v(b) = 0. Calculate b.
1/2, 1
Suppose 0*r - 8 = -2*r. Factor 7*u**4 + 9*u**3 - 5*u**r - 2*u**2 + 5*u**5 - 14*u**4.
u**2*(u - 1)**2*(5*u - 2)
Let r = -86 + 177/2. Let l = -9/4 + r. Suppose -1/4*y**2 + 0 + 0*y + l*y**3 = 0. Calculate y.
0, 1
Let p be (4 + -8)*(-2)/4. Suppose -p*j + 2*d + 4 = 0, 4*j = 4*d + d + 8. Find c, given that -j*c + 3*c**3 + 6*c - 7*c = 0.
-1, 0, 1
Let o = 2353 + -16455/7. Factor -o*x + 0 + 2/7*x**2.
2*x*(x - 8)/7
Let y(u) = u**3 + 20*u**2 + 3*u + 4. Let h be y(0). Solve 0 - 13/3*n**3 - 11/3*n**2 - 2/3*n - 4/3*n**h = 0 for n.
-2, -1, -1/4, 0
Let z(l) be the second derivative of -13/66*l**4 + 0 - 5/33*l**3 - 15*l + 6/11*l**2 - 1/55*l**5. Find h, given that z(h) = 0.
-6, -1, 1/2
Let w(m) be the second derivative of -m**6/150 + 3*m**5/50 - m**4/12 - 12*m + 3. Factor w(s).
-s**2*(s - 5)*(s - 1)/5
Let o be 2/5 + 39/15. Let w = -12013/2 + 6008. Factor 3/2*s**2 + 9/2 + w*s**o - 15/2*s.
3*(s - 1)**2*(s + 3)/2
Let t be 3/(-6) + 11/22. Let l(q) be the third derivative of 0*q + 1/8*q**3 - 3/32*q**4 + 3/80*q**5 + t - 1/160*q**6 - 3*q**2. Suppose l(z) = 0. What is z?
1
Let j(p) be the second derivative of -p**5/140 + 18*p**3/7 + 216*p**2/7 - 91*p. Factor j(v).
-(v - 12)*(v + 6)**2/7
Let d = 3/746 - -10065/1492. Let a = -185/28 + d. Solve -a*p**2 - 2/7*p + 0 = 0 for p.
-2, 0
Let q = -6 - -16. Suppose -8*l + q = -3*l. Factor -d**2 + d**3 + 1 + 1 - 2*d**2 + l.
(d - 2)**2*(d + 1)
Let y be (-4)/(-5) + ((-20064)/(-260))/22 + -4. Factor -y + 2/13*j + 2/13*j**2.
2*(j - 1)*(j + 2)/13
Suppose -a = a + 6. Let b be (-6)/a - (3 - 6). Factor 2*i**3 + 5*i - 2*i**5 - 2*i + 2*i**3 - b*i.
-2*i*(i - 1)**2*(i + 1)**2
Let d(m) be the third derivative of m**6/120 + 2*m**5/15 + 2*m**4/3 - 180*m**2. Factor d(j).
j*(j + 4)**2
Let u(i) be the third derivative of -i**5/15 + 37*i**4/3 - 2738*i**3/3 - i**2 + 338. Solve u(j) = 0 for j.
37
Determine m so that 48*m**2 - 9*m**3 - 13*m**3 - 24*m**4 + 41*m**4 - 13*m**4 - 10*m**3 = 0.
0, 2, 6
Let p(k) be the first derivative of -18 + 1/10*k**2 - 1/20*k**4 - 1/15*k**3 + 1/5*k. Solve p(y) = 0.
-1, 1
Find j, given that -33*j - 29*j**2 + 13*j**2 + 7*j - 12 + 12*j**2 = 0.
-6, -1/2
Let z = -296/5 - -1078/15. Let t = -12 + z. Factor 4/3*b + t*b**2 + 2/3.
2*(b + 1)**2/3
Let j(c) be the first derivative of 3/7*c**2 + 19 + 4/7*c - 4/21*c**3. Let j(a) = 0. Calculate a.
-1/2, 2
Suppose 8*y = 9*y - 2*h, 21 = 4*y - h. Let a(f) be the second derivative of -1/14*f**4 - 1/21*f**3 + 1/105*f**6 + y*f + 1/70*f**5 + 2/7*f**2 + 0. Factor a(s).
2*(s - 1)**2*(s + 1)*(s + 2)/7
Suppose 18*b**3 - 43*b**3 + 15*b**4 + 3*b**5 + 13*b**3 - 6*b**5 = 0. What is b?
0, 1, 4
Let o(k) be the third derivative of -1/30*k**6 + 0 + 7*k**2 + 0*k**3 - 1/105*k**7 + 0*k - 1/30*k**5 + 0*k**4. Factor o(i).
-2*i**2*(i + 1)**2
Let l(m) be the third derivative of 3*m**8/56 + m**7/28 - 93*m**6/80 + 33*m**5/40 + 89*m**4/16 - 15*m**3/2 - 103*m**2 - 2*m. Find n, given that l(n) = 0.
-3, -1, 1/3, 5/4, 2
Determine i so that 12/7*i + 0 + 6/7*i**3 + 3/7*i**4 - 3*i**2 = 0.
-4, 0, 1
Let m be -3*(302/27 + -6). Let y = m - -16. Factor -y*r - 2/9*r**2 - 2/9.
-2*(r + 1)**2/9
Suppose -7*w + 86 = -12. Let z(t) be the first derivative of w*t**2 - 14*t**4 - 4*t + 3 - 16/5*t**5 - 11*t**3. Suppose z(l) = 0. What is l?
-2, 1/4
Let o = 683/76 - 9/38. Suppose o*u**3 - 5/2*u - 49/8*u**4 + 3/8*u**2 - 1/2 = 0. What is u?
-2/7, 1
Find y, given that 18 - y + 32*y**2 - 23 - 14 - 13*y**2 + y**3 = 0.
-19, -1, 1
Let a(y) = 2*y + 16. Let c be a(-7). Factor -193*q + 205*q - 4*q**2 + 2*q**c - 18.
-2*(q - 3)**2
Let j(b) = 10*b + 27. Let k be j(-3). Let c be (0*(-1 + k/(-6)))/(-1). Factor 3*d + 9/2*d**2 + 3/2*d**3 + c.
3*d*(d + 1)*(d + 2)/2
Let s(y) be the third derivative of 1/60*y**5 + 1/2*y**3 + 5/24*y**4 + 0*y + 0 - 17*y**2 - 1/120*y**6. Factor s(c).
-(c - 3)*(c + 1)**2
Let v(z) = -z**4 - z - 1. Let b(y) = 3*y**4 + 24*y**3 + 4*y + 4. Let o(a) = -b(a) - 4*v(a). Suppose o(w) = 0. Calculate w.
0, 24
Let -2209/4 + 1/4*m**4 + 552*m**2 + 47/2*m**3 - 47/2*m = 0. What is m?
-47, -1, 1
Let w = 1534 - 4600/3. Let f(m) be the first derivative of 11 + 8/9*m**3 + w*m - 5/3*m**2. Suppose f(x) = 0. Calculate x.
1/4, 1
Let t(i) = -5*i**3 + 104*i**2 + 115*i. Let l(w) = 10*w**3 - 209*w**2 - 230*w. Let f(g) = 6*l(g) + 11*t(g). Factor f(v).
5*v*(v - 23)*(v + 1)
Let j = -160 + 166. Suppose -16 = j*k - 22. Solve k - 15/2*g + 13/2*g**2 = 0 for g.
2/13, 1
Suppose -78 = -3*o - 66. Factor -10*d**4 - 8*d**o + 5*d**2 - 4*d**3 - 3*d + 3*d**3 + 17*d**4.
-d*(d - 1)**2*(d + 3)
Let g = 22949/32109 + -2/4587. Find m, given that g*m**2 - 5/7 + 1/7*m**3 - 1/7*m = 0.
-5, -1, 1
Let u(k) be the third derivative of k**6/300 + k**5/50 - k**4/15 - 4*k**3/5 - 4*k**2 - 2*k. Factor u(q).
2*(q - 2)*(q + 2)*(q + 3)/5
Let z be ((-6)/(-70))/((-2211)/(-36850)). Factor 8/7*g + 2/7*g**3 - z*g**2 + 0.
2*g*(g - 4)*(g - 1)/7
Let t(r) be the second derivative of 3/130*r**5 + 0*r**4 + 0*r**2 - 4/195*r**6 + 0 + 0*r**3 + 35*r + 1/273*r**7. Factor t(l).
2*l**3*(l - 3)*(l - 1)/13
Solve -254/7 + 2/7*q**2 - 36*q = 0 for q.
-1, 127
Let o(x) be the second derivative of 0 - 5/3*x**4 + 1/6*x**6 + 0*x**3 + 0*x**2 + 0*x**5 + 11*x. Factor o(t).
5*t**2*(t - 2)*(t + 2)
Let f(b) = -2. Let m(t) = -t**2 + 9*t - 14. Let r(o) = 3*f(o) - m(o). Factor r(u).
(u - 8)*(u - 1)
Let a(w) = w**2 + 10*w - 36. Let k be a(-13). Factor -u**4 - 5*u**2