+ 4*n + 7. Suppose 5*d + 2 = 22. Let z(p) = d*u(p) + 7*r(p). Factor z(f).
-f*(3*f - 2)
Let c(s) be the third derivative of 5*s**2 - 1/105*s**7 - 1/6*s**4 + 0*s + 0*s**3 + 0 - 1/15*s**6 - 1/6*s**5. What is p in c(p) = 0?
-2, -1, 0
Let z = -35/13 - -153/52. Suppose 3*a + 2*h + 4 = 0, -6 = -2*a + 7*a + 3*h. Factor 1/4*q - z*q**2 + a.
-q*(q - 1)/4
Let k(r) be the first derivative of 1/24*r**6 + 0*r**5 + 1/8*r**2 - 1/8*r**4 + 0*r**3 + 0*r + 5. Factor k(v).
v*(v - 1)**2*(v + 1)**2/4
Let y = -55 + 221/4. Factor y*q**2 + q + 1.
(q + 2)**2/4
Suppose -10 = 4*v - 6*v. Let n(o) = 4*o**3 + 5*o**2 + 5*o. Let x(g) = 5*g**3 + 6*g**2 + 6*g. Let w(j) = v*x(j) - 6*n(j). What is f in w(f) = 0?
0
Let l(j) be the second derivative of j**4/48 + j**3/6 - 16*j. Solve l(w) = 0 for w.
-4, 0
Let k(c) be the first derivative of -6*c**5/25 - c**4/5 + 2*c**3/15 + 20. Factor k(a).
-2*a**2*(a + 1)*(3*a - 1)/5
Suppose 5*x = -4*k + 2*k - 6, -2*x + k + 3 = 0. Suppose 2/5*b**2 + 4/5*b + x = 0. What is b?
-2, 0
Suppose 0 = -10*w - 6*w + 32. Suppose 6/7*x - 4/7 - 2/7*x**w = 0. Calculate x.
1, 2
Factor -9/5*u + 1/5*u**2 + 8/5.
(u - 8)*(u - 1)/5
Let r(m) be the third derivative of -m**7/3360 + m**6/960 - m**4/12 + 5*m**2. Let i(l) be the second derivative of r(l). Find c, given that i(c) = 0.
0, 1
Suppose -3*k = f - 15, -2*k + 3*f = 2*f - 5. Factor 2*t**3 - 5*t**3 - 31*t**2 - 81 - 81*t + k*t**2.
-3*(t + 3)**3
Let m(h) = 4*h**3 - 2*h**2 - h - 2. Let x be m(2). Let k be (-1 - x/(-24))*-4. Factor -2*d**2 + 0 + k*d.
-2*d*(3*d - 1)/3
Let n(g) be the first derivative of g**4/36 + 8*g**3/9 + 32*g**2/3 + 512*g/9 + 24. Suppose n(f) = 0. Calculate f.
-8
Let q be 2 + (-6)/3*1. Let d be (8 - 6) + (-4)/(-2). What is u in 0*u - u**d + q + 0*u**2 + 2/3*u**3 = 0?
0, 2/3
Suppose -2 = g + 3. Let u be 16/(-20)*g/14. Factor u*a - 2/7*a**2 + 4/7.
-2*(a - 2)*(a + 1)/7
Let d(g) be the first derivative of g**7/6 - g**6/15 - 7*g**5/20 + g**4/6 - g + 4. Let r(c) be the first derivative of d(c). Solve r(h) = 0.
-1, 0, 2/7, 1
Let y = 85/58 + 1/29. Determine b, given that -1/2*b - 3/2*b**2 + y + 1/2*b**3 = 0.
-1, 1, 3
Let h(x) be the second derivative of -x**7/42 + x**6/10 + x**5/20 - 11*x**4/12 + 2*x**3 - 2*x**2 + 16*x. Factor h(p).
-(p - 2)*(p - 1)**3*(p + 2)
Let p(z) be the first derivative of z**6/75 - 3*z**5/25 + 13*z**4/30 - 4*z**3/5 + 4*z**2/5 - 3*z - 3. Let g(l) be the first derivative of p(l). Factor g(a).
2*(a - 2)**2*(a - 1)**2/5
Suppose 2*t + 6 = -0*l - l, 0 = -3*l + 2*t + 14. Suppose 15*p**5 - 8*p**5 + l*p**3 - 9*p**5 = 0. Calculate p.
-1, 0, 1
Let g be 2/10 + (-171647)/35. Let z = g + 34420/7. Factor -18/7*d**5 - 2/7*d + 4/7 - 68/7*d**4 - z*d**3 - 48/7*d**2.
-2*(d + 1)**4*(9*d - 2)/7
Suppose -5*z - 6 = 2*m, -2*z = -m - 3*m + 12. Let i be 30/9 - (-6)/(-18). Factor -s - 1/3 - 1/3*s**i - s**m.
-(s + 1)**3/3
Let u(q) be the third derivative of 0 + 0*q**4 - 1/30*q**5 + 0*q - 2*q**2 + 0*q**3. Factor u(w).
-2*w**2
Let k(n) = -2 - 4*n + 4 + 4*n - n. Let v be k(2). Factor -2*b + 2*b**3 - 2*b**2 + v - 2 + 4 + 0*b**2.
2*(b - 1)**2*(b + 1)
Let y(u) be the second derivative of 1/100*u**5 + 1/150*u**6 - 1/60*u**4 - 1/30*u**3 + 0*u**2 + 0 - 8*u. Factor y(w).
w*(w - 1)*(w + 1)**2/5
Let h be ((-36)/(-10) + -4)*15/(-12). Factor h*m + 3/2*m**2 + 0 + 3/2*m**3 + 1/2*m**4.
m*(m + 1)**3/2
Solve -k**3 + 7/2*k + 2 - 1/4*k**4 + 3/4*k**2 = 0 for k.
-4, -1, 2
Factor 1/4*z**2 + 1/2 + 3/4*z.
(z + 1)*(z + 2)/4
Let c(o) = 2*o**3 - 6*o**2 - 8*o - 2. Let j(f) = 4*f**3 - 13*f**2 - 17*f - 5. Let k(x) = -5*c(x) + 2*j(x). Factor k(v).
-2*v*(v - 3)*(v + 1)
Let j(i) be the third derivative of i**8/112 - 16*i**7/175 + 9*i**6/25 - 16*i**5/25 + 2*i**4/5 + 4*i**2. Determine a so that j(a) = 0.
0, 2/5, 2
Suppose 0 = 3*r - m - 11, -r - 2*m - 6 = 2. Let y(a) be the first derivative of 0*a + r + 0*a**2 - 3/5*a**5 - a**4 - 1/3*a**3. Solve y(h) = 0 for h.
-1, -1/3, 0
Suppose 0 = -0*i + 2*i. Let t(x) be the second derivative of i + 0*x**4 + x**3 - 3*x - 1/10*x**5 - 2*x**2. Factor t(r).
-2*(r - 1)**2*(r + 2)
Let l be 6 + (-3)/((-15)/(-5)). Let g(j) be the third derivative of -1/360*j**6 - 5/72*j**4 + 1/45*j**l + 1/9*j**3 + 0 + 3*j**2 + 0*j. Let g(u) = 0. What is u?
1, 2
Let h(c) be the second derivative of 0 + 1/18*c**3 - 7*c + 0*c**2 + 1/36*c**4. Factor h(l).
l*(l + 1)/3
Suppose 8/9 - 8/9*n + 2/9*n**3 - 2/9*n**2 = 0. Calculate n.
-2, 1, 2
Let m(b) be the first derivative of -2*b**6/27 + 2*b**5/9 - b**4/18 - 4*b**3/27 + 3. Suppose m(u) = 0. Calculate u.
-1/2, 0, 1, 2
Let s(x) be the first derivative of x**6/8 - x**5/20 - x**4/8 + 18. Factor s(i).
i**3*(i - 1)*(3*i + 2)/4
Let q(h) = -2*h**2 + 8*h + 2. Let u = -1 + 3. Let t(y) = u - y**2 + 6*y + y - 3*y**2 + 3*y**2. Let v(n) = -3*q(n) + 4*t(n). Factor v(b).
2*(b + 1)**2
Factor t**4 + 17*t**2 - 2*t**2 + t**3 - 9*t - 8*t**3.
t*(t - 3)**2*(t - 1)
Let o = 1345/4 - 336. Factor 1/2*f**2 + 1/4*f**3 + 0*f - o*f**4 + 0.
-f**2*(f - 2)*(f + 1)/4
Suppose 0*z - 4*z + 20 = 0. Suppose 2*q - 6 = -q. Factor -14/5*b**z + 0*b**q + 0*b - 4/5*b**3 + 0 - 18/5*b**4.
-2*b**3*(b + 1)*(7*b + 2)/5
Determine d so that -5/7*d**3 + 5/7*d - 2*d**2 + 12/7*d**4 + 2/7 = 0.
-1, -1/4, 2/3, 1
Let x be (6/(-16))/(3/(-4))*6. Solve 0 + 16*p**4 + 0*p + 6*p**x + 32/3*p**5 + 2/3*p**2 = 0.
-1, -1/4, 0
Let j be 2 - 0 - (-7)/(-4). Suppose -6*x = -3*x. Suppose x*b + j - 1/4*b**2 = 0. What is b?
-1, 1
Let x be ((-2)/20)/(34/(-85)). Factor -1/4*r + 0 - x*r**2.
-r*(r + 1)/4
Let o(h) be the third derivative of h**8/504 - 4*h**7/315 + h**6/60 - h**2. Suppose o(v) = 0. Calculate v.
0, 1, 3
Let p(m) be the second derivative of m**4/42 - 2*m. Factor p(f).
2*f**2/7
Let w = -64/3 + 206/9. Let 0 + 4/9*u**3 - 4/9*u - 14/9*u**2 + w*u**4 = 0. What is u?
-1, -2/7, 0, 1
Let p = 122 - 1828/15. Let b(t) be the first derivative of 1/5*t**4 - p*t**3 - 1 + 0*t**2 + 0*t - 2/25*t**5. Determine h so that b(h) = 0.
0, 1
Let p(q) be the third derivative of -q**7/210 - q**6/60 - q**5/60 - 13*q**2. Factor p(t).
-t**2*(t + 1)**2
Let u be 4 + 0 - (3 - 1/(-11)). Factor -6/11*v - 2/11*v**3 + 2/11*v**4 + 0 - u*v**2.
2*v*(v - 3)*(v + 1)**2/11
Let g(s) be the first derivative of s**4/16 - 7*s**3/12 + 2*s**2 - 3*s - 19. Determine h so that g(h) = 0.
2, 3
Let u = 175 - 173. What is b in 0 + 1/3*b + 1/3*b**u = 0?
-1, 0
Let k(p) be the third derivative of -121*p**5/75 + 11*p**4/5 - 6*p**3/5 + 66*p**2 - 2. Find l, given that k(l) = 0.
3/11
Let h = 5 + -2. Let z(b) = -2*b**2 - 3*b - 4. Let w(v) be the second derivative of v**4/12 + v**3/6 + v**2/2 - 6*v. Let f(k) = h*w(k) + z(k). Factor f(i).
(i - 1)*(i + 1)
Let x(o) be the third derivative of -o**6/1200 - o**5/200 - o**4/120 - 9*o**2 - 3*o. Determine s so that x(s) = 0.
-2, -1, 0
Let c(d) be the third derivative of d**8/1512 + d**7/315 + d**6/270 - d**5/135 - d**4/36 - d**3/27 - 10*d**2. What is t in c(t) = 0?
-1, 1
Factor 4/5 - 4/5*w - 1/5*w**2 + 1/5*w**3.
(w - 2)*(w - 1)*(w + 2)/5
Let q(b) be the third derivative of 49*b**8/240 - 14*b**7/25 - 28*b**6/75 + 4*b**5/25 + 2*b**4/15 - 13*b**2 - 2. Suppose q(i) = 0. What is i?
-2/7, 0, 2/7, 2
What is f in 1/2*f**2 + 1/4*f**3 + 1/4*f + 0 = 0?
-1, 0
Let d(u) be the second derivative of 3*u**5/20 - 3*u**4/4 + 3*u**3/2 - 3*u**2/2 - 5*u. Factor d(j).
3*(j - 1)**3
Let j(u) = -3*u**2 - 3*u - 4. Let n(p) = -p**2 - p - 2. Let r(a) = -a**2 - a - 2. Let s(i) = -6*n(i) + 7*r(i). Let c(g) = 2*j(g) - 5*s(g). Factor c(d).
-(d - 1)*(d + 2)
Let o(q) be the second derivative of q**5/20 - q**4/6 - q**3/6 + q**2 - 4*q. Let o(k) = 0. What is k?
-1, 1, 2
Let g be 6/24 + 322/(-8). Let f be (3 - g/(-28))*2. Factor 0 - f*z**3 + 12/7*z**4 + 8/7*z + 18/7*z**5 - 8/7*z**2.
2*z*(z + 1)**2*(3*z - 2)**2/7
Suppose 5*q - p = 15, 0*p - 30 = -5*q + 4*p. Solve l**2 - 6*l + 0*l**2 + 34 + 5*l**q - 2*l**3 - 32 = 0 for l.
1
Let y = 147/2 - 76. Let c = 3 + y. Let c*r**2 - 1/2 + 0*r = 0. What is r?
-1, 1
Let i(n) = n**4 - 6*n**3 - 5*n**2 - 2*n. Let q(z) = 3*z**4 - 2*z**4 - z**3 - 5*z**4 + 5*z**4. Let b(l) = 3*i(l) - 6*q(l). Solve b(c) = 0.
-2, -1, 0
Suppose 3*f = -18 + 27. Let q(n) be the first derivative of 1 + 4*n**f + 0*n + 9/2*n**4 + n**2. Solve q(k) = 0.
-1/3, 0
Let m(p) be the second derivative of 1/3*p**3 + 0*p**2 + 2*p + 1/6*p**4 + 0. Solve m(x) = 0 for x.
-1, 0
Let b(l) be the second derivative of 4*l**7/63 - 11*l**6/45