)*(y + 2)
Let y(s) be the second derivative of s**8/8400 - s**7/3150 - s**4/6 + 2*s. Let v(i) be the third derivative of y(i). Solve v(n) = 0.
0, 1
Let v = 238 + -1662/7. Factor 16/7*j**2 + 8/7 - 20/7*j - v*j**3.
-4*(j - 2)*(j - 1)**2/7
Let n(o) be the first derivative of 2/9*o**3 + 0*o**4 - 2 - 1/30*o**5 + 0*o + 0*o**2. Factor n(d).
-d**2*(d - 2)*(d + 2)/6
Let x(o) = -5*o**5 + 3*o**3 - 3. Let j(v) = -5*v**3 - 4*v + 1. Let p(n) = 6*n**3 + 5*n - 1. Let w(s) = -5*j(s) - 4*p(s). Let c(b) = 3*w(b) - x(b). Factor c(m).
5*m**5
Let m(y) be the first derivative of -4/3*y**3 - 28*y + 16*y**2 + 43. Factor m(b).
-4*(b - 7)*(b - 1)
Find r such that 3/4*r**3 + 0 - 1/4*r**4 - 2*r + 3/2*r**2 = 0.
-2, 0, 1, 4
Solve -1/5*q**3 + 0*q - 103/5*q**2 + 0 = 0.
-103, 0
Let j(q) = -q**3 + 10*q**2 - 13*q + 7. Let w be j(9). Let p = w - -29. Factor -3*g**5 + p*g**5 + 12*g**2 - 3 + 3 - 9*g**4.
-3*g**2*(g - 1)*(g + 2)**2
Let n(l) be the first derivative of 15 + 1/12*l**3 + 0*l**2 + 1/24*l**4 - 8*l. Let y(h) be the first derivative of n(h). Suppose y(q) = 0. What is q?
-1, 0
Let n(g) be the second derivative of -g**5/4 - 5*g**4/12 + 25*g**3/6 - 15*g**2/2 - 3*g + 3. Find j, given that n(j) = 0.
-3, 1
Let q be (-10)/5*(7 - 8). Let t(b) be the first derivative of 5 - 2/45*b**5 + 0*b**q + 0*b**4 + 4/27*b**3 - 2/9*b. Determine l so that t(l) = 0.
-1, 1
Let u = -17/497 + 1045/1491. Factor u - 5/9*h + 1/9*h**2.
(h - 3)*(h - 2)/9
Let z(x) be the second derivative of -x**6/135 + 13*x**5/90 - 35*x**4/54 - 49*x**3/27 + 87*x - 1. What is r in z(r) = 0?
-1, 0, 7
Let r(z) be the second derivative of z**8/1680 - z**7/315 - 7*z**6/180 - 2*z**5/15 - 23*z**4/12 + 19*z. Let y(q) be the third derivative of r(q). Factor y(s).
4*(s - 4)*(s + 1)**2
Suppose 15 = 3*u - 5*n, 0 = -n + 3*n. Let f(d) be the first derivative of u - 32/33*d**3 - 12/55*d**5 + 7/11*d**4 + 9/11*d**2 + 1/33*d**6 - 4/11*d. Factor f(v).
2*(v - 2)*(v - 1)**4/11
Let x(j) be the third derivative of -j**6/1080 + 2*j**5/27 + 83*j**4/216 + 7*j**3/9 + 786*j**2. Suppose x(d) = 0. Calculate d.
-1, 42
Let m(w) be the first derivative of -w**6/72 - w**5/6 - 5*w**4/6 + 14*w**3/3 + 4. Let c(z) be the third derivative of m(z). What is n in c(n) = 0?
-2
Let d(h) = h + 10. Let r(j) = -j. Let b(p) = 3*d(p) + 6*r(p). Let y be b(10). What is m in 0*m - 1/3*m**2 + 1/3*m**3 + y = 0?
0, 1
Let n(v) = -v**2 - v - 1. Let j(x) = 7*x**2 + 64*x + 847. Let f(r) = -j(r) - 6*n(r). Solve f(g) = 0 for g.
-29
Let h(n) be the second derivative of -2/75*n**6 + 0 + 4/45*n**3 + 13/150*n**5 + 1/315*n**7 + 0*n**2 - 41*n - 2/15*n**4. Let h(f) = 0. Calculate f.
0, 1, 2
Let y(i) be the third derivative of -i**6/60 + i**5/30 + 41*i**4/6 + 80*i**3/3 + 240*i**2. Factor y(b).
-2*(b - 10)*(b + 1)*(b + 8)
Let g(a) = a**2 - 10*a + 30. Let r(j) = 1. Suppose -4*t - 9 = 3*w - 2*t, 4*w + 3*t + 13 = 0. Let i(o) = w*g(o) + 5*r(o). Let i(l) = 0. What is l?
5
Let p(j) be the second derivative of j**5/10 + 2*j**4 - 15*j**3 - 422*j. Suppose p(q) = 0. What is q?
-15, 0, 3
Let x(h) be the second derivative of -h**6/480 - h**5/60 + h**4/32 - h**3 - 9*h. Let f(v) be the second derivative of x(v). Let f(s) = 0. Calculate s.
-3, 1/3
Let l(g) = -g**4 - g**3 + 1. Suppose 0 = 2*t - 3*t - 5. Let z(i) = -i**5 + i**4 + 10*i**3 + 4*i**2 - 12*i - 1. Let q(s) = t*l(s) - 5*z(s). Factor q(j).
5*j*(j - 3)*(j - 1)*(j + 2)**2
Let w(j) be the second derivative of -2*j**6/15 - 24*j**5/5 - 143*j**4/3 + 16*j**3 + 288*j**2 - 11*j - 3. Suppose w(o) = 0. What is o?
-12, -1, 1
Let f(w) be the third derivative of -5*w**9/4536 + w**8/5040 + w**7/840 + 7*w**3/3 - 3*w**2. Let x(d) be the first derivative of f(d). Factor x(m).
-m**3*(2*m + 1)*(5*m - 3)/3
Suppose -4*r + 11 = g, -5*r - g + 6*g + 45 = 0. Let b be (8 - 4) + (2 - r). Factor -4*y**b + 2*y**2 + 3*y**2 + y.
y*(y + 1)
Let o(n) = -6 - 4*n - n**2 - 4*n**2 + 7*n**2. Suppose 0 = 3*u - 4*u - 11. Let d(q) = 5*q**2 - 12*q - 17. Let l(x) = u*o(x) + 4*d(x). Let l(h) = 0. What is h?
-1
Let a(s) = -192 - 20*s - 94 + 408. Let v be a(6). Find u, given that 0*u - 2*u**3 - 1/2*u**4 + 0 - 2*u**v = 0.
-2, 0
Let f be 1/(9/69) - 2/(-6). Factor 0*q - 3*q + 4*q**2 + 7*q - f.
4*(q - 1)*(q + 2)
Let k(m) = m**3 - 5*m**2 + 4*m + 5. Let v be k(4). Suppose v*c = 5*t - 1 - 9, 0 = 3*c - 4*t + 10. Determine s so that 4*s**2 + 0*s**2 - s**c + 3*s = 0.
-1, 0
Factor 0*b - 2/7*b**4 - 6/7*b**2 - 8/7*b**3 + 0.
-2*b**2*(b + 1)*(b + 3)/7
Factor 86*g - 145 - 1475 - 5*g**2 + 94*g.
-5*(g - 18)**2
Let v(a) = -35*a**2 - 243*a - 199. Let y(c) = -8*c**2 - 60*c - 50. Let f(q) = -2*v(q) + 9*y(q). Factor f(d).
-2*(d + 1)*(d + 26)
Let w be (8/12)/((110/105)/11). Let c(s) be the second derivative of 0 - 7/3*s**3 - w*s - 5/6*s**4 - 3*s**2 - 1/10*s**5. Let c(j) = 0. What is j?
-3, -1
Let w(p) be the third derivative of 0*p + 1/90*p**6 + 0*p**4 + 1/630*p**7 + 1/60*p**5 + 0 + 0*p**3 - 22*p**2. Find t, given that w(t) = 0.
-3, -1, 0
Solve -40*r**2 - 5/4*r**3 - 145*r - 140 = 0 for r.
-28, -2
Let j = 977/3199 + -9/457. Factor 2/7*l**2 + j - 4/7*l.
2*(l - 1)**2/7
Suppose -6*t + 65 + 133 = 0. Let b = t - 12. Find a, given that 26*a - 15*a**3 + 12*a**3 + b*a**3 + 4 + 40*a**2 = 0.
-1, -2/9
Let g(r) be the first derivative of -r**5/5 + 15*r**4/4 - 18*r**3 - 54*r**2 + 648*r - 167. Factor g(s).
-(s - 6)**3*(s + 3)
Let j(i) be the second derivative of -3/98*i**7 + 8/7*i**2 + 0 + 3*i + 38/21*i**4 - 40/21*i**3 - 34/35*i**5 + 19/70*i**6. Find w such that j(w) = 0.
2/3, 1, 2
Suppose 0 = -2*w - 5*y + 30, 56 = 4*w + 8*y + 8. Factor 0*b**2 + 5/7*b**5 - 16/7*b**4 + w*b + 3/7*b**3 + 0.
b**3*(b - 3)*(5*b - 1)/7
Let b = -1918 - -1923. Let w(x) be the second derivative of -1/60*x**b + 0 - 11*x - 1/18*x**3 + 1/18*x**4 + 0*x**2. Solve w(g) = 0.
0, 1
Let s be (-134)/469 + 4/14. Let r(n) be the third derivative of -1/30*n**3 - 1/60*n**4 + 0 + 7*n**2 + s*n - 1/300*n**5. Factor r(t).
-(t + 1)**2/5
Let s(j) be the third derivative of 1/57*j**4 + 29*j**2 - 8/57*j**3 + 0 - 1/1140*j**6 + 0*j + 1/285*j**5. Let s(h) = 0. What is h?
-2, 2
Let s(q) = -7*q + 56. Let b be s(8). Let z(m) be the third derivative of -3*m**2 + b*m**3 + 0 + 0*m**5 + 0*m - 1/90*m**6 + 1/45*m**7 + 0*m**4. Factor z(x).
2*x**3*(7*x - 2)/3
Let i(k) = k**2 + 8*k + 5. Let g be i(-8). Suppose 6*s + 14 - 14 = 0. Let 0*c - 1/3*c**g + s + 0*c**3 + 0*c**2 + 1/3*c**4 = 0. Calculate c.
0, 1
Let z(f) be the second derivative of -9*f**5/20 + 11*f**4/2 + 47*f**3/6 + 4*f**2 + 336*f. Solve z(t) = 0 for t.
-1/3, 8
Let a(p) = 5*p**2 + 162*p + 4. Let g(y) = y + 2. Let i(n) = -a(n) + 2*g(n). Factor i(x).
-5*x*(x + 32)
Let n be ((-70)/870)/((-28)/24) + (-112)/(-58). Find q, given that -q + 1/2*q**3 + 3/4*q**n - 1/4*q**4 - 1 = 0.
-1, 2
Let r = -23 + 25. Let l(i) = -2*i**3 - 6*i**2 - 4*i + 14. Let f(w) = w**2 - w + 1. Let z(p) = r*f(p) - l(p). Factor z(g).
2*(g - 1)*(g + 2)*(g + 3)
Let s = -49002 - -49006. What is h in -s*h + 18 + 2/9*h**2 = 0?
9
Let k(s) be the first derivative of -s**4/4 - s**2/2 - 16. Let v(a) = -2*a**4 + 3*a**3 + 2*a**2 + 3*a. Let r(t) = 6*k(t) + 2*v(t). Solve r(j) = 0 for j.
-1, 0, 1
Let q(t) be the third derivative of 0*t - t**2 + 1/840*t**7 - 1/160*t**6 - 1/96*t**4 + 0*t**3 + 1/80*t**5 + 0. Factor q(p).
p*(p - 1)**3/4
Factor g**3 - 4 + 12 + g**3 + 186*g**2 - 174*g**2 + 18*g.
2*(g + 1)**2*(g + 4)
Let h be (-18492)/(-18216) - (0 + (-15)/(-18)). Factor -26/11*b + h*b**3 + 10/11*b**2 + 14/11.
2*(b - 1)**2*(b + 7)/11
Suppose -520*t = -52*t - 936. Factor 2/3*b**5 + 38/5*b**3 - 64/15*b**4 - 12/5*b**t + 0*b + 0.
2*b**2*(b - 3)**2*(5*b - 2)/15
Let o = 104 - 114. Let j be (o/(-15) - 0)*3. Factor -2/5*n**j + 0 - 2/5*n.
-2*n*(n + 1)/5
Let c(f) be the second derivative of 3/80*f**5 + 1/16*f**4 + 0 - 7*f + 0*f**3 + 0*f**2. What is b in c(b) = 0?
-1, 0
Factor -6*o**3 + 787 + 22*o**2 - 26*o - 1559 + 782.
-2*(o - 1)**2*(3*o - 5)
Suppose -78 = -3*i + 4*d - 93, -4*i + 2*d = 0. Factor 0*p + 7/3*p**2 + p**i - 4/3.
(p + 1)*(p + 2)*(3*p - 2)/3
Suppose -x = 4, -5*t + 3*x + 3 = -19. Let s(h) be the third derivative of 0*h**6 + 0 + 0*h**5 - 1/140*h**7 + 0*h**4 - 2*h**t + 0*h**3 + 0*h. Factor s(g).
-3*g**4/2
Let y be 5 + -5 + -4 - (-340)/45. Solve -1/9*t**4 - 16/9 - 8/9*t**3 - 8/3*t**2 - y*t = 0.
-2
Let b(l) = -15*l**3 - 27*l**2 + 59*l + 19. Let i(j) = 7*j**3 + 13*j**2 - 28*j - 10. Let x(y) = 6*b