n) be the first derivative of 0*n**3 + 14 - 10*n - 5/4*n**4 + 15/2*n**2. Factor o(r).
-5*(r - 1)**2*(r + 2)
Let j(z) be the second derivative of -z**6/210 - z**5/140 + 19*z + 1. Factor j(f).
-f**3*(f + 1)/7
Let k(u) be the first derivative of -3*u**5/5 - u**4/4 + 2*u**2 - 4*u + 10. Let d(n) = 3*n**4 - 3*n + 3. Let l(m) = 4*d(m) + 3*k(m). Factor l(s).
3*s**3*(s - 1)
Suppose -16 - 5 = -7*p. Factor 1 + 6 - p*v**2 + 5.
-3*(v - 2)*(v + 2)
Let p(h) = h**3 - h + 12. Let f = -5 - -5. Let x be p(f). Solve -2*m**5 + 2*m**4 + 6*m**4 - 18*m**3 + 4*m**4 - m**5 - 3*m + x*m**2 = 0.
0, 1
Let r(l) be the first derivative of -l**4/4 - 10*l**3/3 - l**2 - 15*l - 12. Let m be r(-10). Find a such that 4*a - 6*a - m*a**2 - 8*a = 0.
-2, 0
Let x be -3 + 16 + -4 - 3. Factor 30 - 28 - 3*q - q**2 - q**4 + 9*q**3 - x*q**3.
-(q - 2)*(q - 1)**2*(q + 1)
Let s = 6281/11004 - -1/1572. Factor 0 + 8/7*c + s*c**3 + 12/7*c**2.
4*c*(c + 1)*(c + 2)/7
Suppose 25*t - 31*t = 72. Let x = t + 25/2. Factor 1/2*j**2 + 0 - x*j.
j*(j - 1)/2
Let k be (3 - -2)/((-3)/(-3)). Suppose k - 161 = -u. Factor -4*h**2 - 4*h - u + 156.
-4*h*(h + 1)
Let t(q) be the first derivative of q**3/9 - 2*q**2/3 + q - 19. Factor t(o).
(o - 3)*(o - 1)/3
Let o = 2 + 1. Suppose -o*p + 39 = -135. Factor -p*x + 58*x - x**2.
-x**2
Let t(c) be the first derivative of -c**4/4 - 14*c**3/3 - 30*c**2 - 72*c - 22. Find a such that t(a) = 0.
-6, -2
Suppose -6 = -5*m + 3*m. Suppose m*b = -o + 8*b - 3, b = 4*o - 7. Let -5/2*a**3 + 11*a**o - 14*a + 4 = 0. What is a?
2/5, 2
Let s(a) be the third derivative of 0*a**4 + 0 + 1/48*a**6 + 0*a**3 + 0*a + 13*a**2 - 1/24*a**5. Find k such that s(k) = 0.
0, 1
Let b(i) = 9*i**2 - 12*i + 9. Let o(u) = -85*u**2 + 108*u - 80. Let w(m) = -57*b(m) - 6*o(m). Factor w(f).
-3*(f - 11)*(f - 1)
Suppose -11*d - 17*d = 0. Solve 0*l + 6/5*l**2 - 3/5*l**3 - 3/5*l**4 + d = 0 for l.
-2, 0, 1
Let h(n) be the first derivative of n**5/15 + 3*n**4/4 + 29*n**3/9 + 13*n**2/2 + 6*n - 70. Factor h(q).
(q + 1)*(q + 2)*(q + 3)**2/3
Suppose 25 = -10*l - 45. Let a(t) = -t**3 - 8*t**2 - 7*t + 5. Let q be a(l). Suppose 0*m + 0*m**2 - 3/5*m**q + 0 - 12/5*m**4 - 12/5*m**3 = 0. What is m?
-2, 0
Let l = 14 + -9. Suppose 0 = l*o, 5*o + 1 - 11 = -5*v. Factor 2*y + 25/4*y**4 + 0 - 9*y**v + 15/2*y**3.
y*(y + 2)*(5*y - 2)**2/4
Let f = -9 + 15. Suppose 0*a - 10 = -5*a. Solve -8*q**3 + 5*q**2 - a*q**5 + 10 - q**2 + 10*q - 8*q**4 - f = 0.
-2, -1, 1
Let d(m) be the second derivative of 3*m**5/80 + 11*m**4/48 + m**3/2 + m**2/2 + 59*m. Suppose d(x) = 0. What is x?
-2, -1, -2/3
Let d(c) = -c**4 - 7*c**3 - 11*c**2 + 5*c - 5. Let l(t) = 6*t**2 - 4*t + t + 3*t**3 + 4 - 1. Let b(s) = 3*d(s) + 5*l(s). Factor b(p).
-3*p**2*(p + 1)**2
Let m(k) = 4*k**2 - k. Let l be m(1). Suppose 23 - 11 = l*d. Let 0 + 2/7*n**d + 0*n - 2/7*n**3 + 0*n**2 = 0. What is n?
0, 1
Let q be (5 - (7 + -3)) + 3/3. Solve -15*j - j**4 - 4*j**q - 3*j**3 + 13*j + j**5 + 9*j**2 = 0.
-2, 0, 1
Let q be (-6)/10 - (3128/240)/(-17). Factor 1/6*i**4 + 0 - q*i**2 - 1/6*i**3 + 1/6*i.
i*(i - 1)**2*(i + 1)/6
Suppose 248*v**3 + 8*v + 150*v**3 + 484*v**3 - 236*v**2 + 68*v**2 = 0. Calculate v.
0, 2/21
Let j(g) = -36*g**3 + 53*g**2 + 44*g + 8. Let k(q) = -18*q**3 + 27*q**2 + 22*q + 4. Let b(f) = 6*j(f) - 10*k(f). Factor b(s).
-4*(s - 2)*(3*s + 1)**2
Let y be 33/(-6)*696/(-7018). Factor 2/11*c**2 - y - 4/11*c.
2*(c - 3)*(c + 1)/11
Let r(g) be the first derivative of -3*g**3/2 + 33*g**2/4 + 6*g - 88. Determine c, given that r(c) = 0.
-1/3, 4
Suppose 6/13*p**3 + 72/13*p + 0 - 112/13*p**2 = 0. Calculate p.
0, 2/3, 18
Let q = -31 - -34. Solve -8*i**q + 11*i + 12*i**4 - 56*i**2 + 36 + i + 8*i**4 - 4*i**5 = 0.
-1, 1, 3
Let m(l) be the second derivative of -l**7/2100 + 17*l**6/1200 - l**5/25 - 31*l**4/12 + 8*l. Let g(o) be the third derivative of m(o). Solve g(t) = 0.
1/2, 8
Suppose 3*p + 36 + 54 = 0. Let d = p - -32. Factor 5/4*a**d + 0 + 1/2*a + 3/4*a**3.
a*(a + 1)*(3*a + 2)/4
Let z = 547 - 545. Let t(o) be the second derivative of -1/30*o**6 + 0*o**z + 0*o**3 + 0 - 7*o - 1/20*o**5 + 1/6*o**4. Determine k, given that t(k) = 0.
-2, 0, 1
Let g(t) = -9*t**2 - 9*t - 2. Let w(x) = 3*x**2 + 4*x + 1. Let s(r) = 2*g(r) + 5*w(r). Factor s(p).
-(p - 1)*(3*p + 1)
Let k(y) = 3*y**3 + y**2 - y - 1. Let p be 54/(-21) - (-9)/(-21). Let l(s) = 3*s**3. Let u(o) = p*k(o) + 2*l(o). Suppose u(r) = 0. Calculate r.
-1, 1
Let w = 24 + -21. Let c(n) be the second derivative of 0 + n**2 - 1/2*n**w + 1/12*n**4 - n. Factor c(k).
(k - 2)*(k - 1)
Let h(m) be the first derivative of -m**4/4 - 14*m**3/3 - 13*m**2/2 + 2*m + 7. Let v be h(-13). Determine b, given that -4*b + b + 4*b - 13*b**v + 14*b**2 = 0.
-1, 0
Let p(o) be the third derivative of o**8/112 + o**7/10 + 3*o**6/20 - 7*o**5/5 - 5*o**4 + 11*o**2 - 3. Find a, given that p(a) = 0.
-5, -2, 0, 2
Find l, given that 64/7*l**4 - 82/7*l**2 + 11/7*l**5 + 76/7*l**3 + 18/7 - 87/7*l = 0.
-3, -1, 2/11, 1
Let f(y) be the first derivative of y**6/12 - y**5/10 - y**4/8 + y**3/6 - 134. Factor f(u).
u**2*(u - 1)**2*(u + 1)/2
Let 7/3*g**2 - 17/3*g + 17/3*g**3 + g**4 - 10/3 = 0. What is g?
-5, -1, -2/3, 1
Factor -52/9 + 6*q - 2/9*q**2.
-2*(q - 26)*(q - 1)/9
Let x be (-2)/132 - 6/(-33). Let h(d) be the first derivative of 0*d**2 + 0*d + 0*d**3 + 3 + x*d**4. Determine l so that h(l) = 0.
0
Let i(u) be the first derivative of -2*u**7/315 + u**6/24 + u**5/45 - 17*u**2/2 + 26. Let d(g) be the second derivative of i(g). Find c, given that d(c) = 0.
-1/4, 0, 4
Let d(t) be the first derivative of t**3/30 + 17*t**2/10 + 33*t/10 - 218. Factor d(x).
(x + 1)*(x + 33)/10
Let g(r) = 12*r**2 + 312*r - 15. Let w(x) = 3*x**2 + 78*x - 4. Let p(f) = 4*g(f) - 15*w(f). Factor p(c).
3*c*(c + 26)
Let s(l) = -15*l**4 + 235*l**3 - 815*l**2 + 965*l - 385. Let f(n) = -8*n**4 + 118*n**3 - 408*n**2 + 482*n - 193. Let a(x) = 5*f(x) - 3*s(x). Factor a(i).
5*(i - 19)*(i - 2)*(i - 1)**2
Let k(b) be the third derivative of -b**7/4410 - b**6/1260 + 7*b**4/24 + 38*b**2. Let y(u) be the second derivative of k(u). Find w such that y(w) = 0.
-1, 0
Suppose -45 = -2*o - 3*o. Determine d, given that -2 - 13*d + o*d + 4*d**3 + 12*d**2 - 6 - 4*d**4 = 0.
-1, 1, 2
Let a(x) be the third derivative of 0*x**4 + 1/80*x**6 + 1/48*x**5 - 12*x**2 + 1/840*x**7 + 0*x**3 + 0 + 0*x. Factor a(d).
d**2*(d + 1)*(d + 5)/4
Let w = -4877/18 + 271. Let i(m) be the second derivative of -5*m + w*m**4 + 0 - 1/3*m**2 + 0*m**3. Factor i(b).
2*(b - 1)*(b + 1)/3
Let k(p) = -5*p**2 - 19*p. Let o(v) = -30*v**2 - 115*v. Let r = -13 + 9. Let s(b) = r*o(b) + 25*k(b). Find n such that s(n) = 0.
-3, 0
Factor 0 + 156/5*w**2 - 137/5*w**3 - 28/5*w + 9/5*w**4.
w*(w - 14)*(w - 1)*(9*w - 2)/5
Let a(s) = -s**2 + 340*s + 8738. Let c be a(-24). Factor -2 + 1/3*l**c - 1/3*l.
(l - 3)*(l + 2)/3
Let r(z) = 2*z - 1. Let y be r(2). Suppose -2*a + 4*i - 6 = -2, y*a - 26 = -2*i. Suppose 6*v**2 + 0*v**3 - 2*v**4 + 10*v + a*v**3 + 4 - 8*v**3 = 0. Calculate v.
-1, 2
Find a, given that 15/4*a**2 + 5/4 - 5/4*a**3 - 15/4*a = 0.
1
Let p(x) be the first derivative of -x**6/9 - 2*x**5/3 - 3*x**4/2 - 14*x**3/9 - 2*x**2/3 - 101. Factor p(d).
-2*d*(d + 1)**3*(d + 2)/3
Let u(c) be the second derivative of 3*c**5/5 - 13*c**4/3 + 4*c**3/3 + 16*c**2 + 7*c + 1. Solve u(d) = 0.
-2/3, 1, 4
Suppose 3*w + 4 + 2 = -3*b, 3*b - 26 = 5*w. Let h be b + (-2 - 40/(-45)). Factor -8/9*t - 2/9*t**2 - h.
-2*(t + 2)**2/9
Find l such that -42*l**4 - 147/2*l**5 - 36 + 1017/2*l**3 - 147*l**2 - 210*l = 0.
-3, -2/7, 1, 2
Find l such that 94/15*l**3 + 0 - 14/15*l**4 + 28/15*l**2 + 0*l = 0.
-2/7, 0, 7
Let h(k) be the third derivative of k**7/210 - 7*k**6/240 + k**5/20 - 3*k**2 - 51. Suppose h(c) = 0. Calculate c.
0, 3/2, 2
Let v(b) be the second derivative of -b**5/80 - 17*b**4/48 - 31*b**3/24 - 15*b**2/8 + 158*b. Suppose v(y) = 0. What is y?
-15, -1
Let b be ((-20)/(-7))/5 + 0/4. Let w be (0 - -9)/((-42)/(-4)). Let -2/7*d**2 + w*d - b = 0. What is d?
1, 2
Determine h so that -4/5*h**2 + 0*h + 1/5*h**4 + 0 - 1/5*h**5 + 4/5*h**3 = 0.
-2, 0, 1, 2
Let u(x) be the third derivative of x**7/5460 + x**6/390 + x**5/65 + 2*x**4/39 - x**3/6 + 3*x**2. Let r(i) be the first derivative of u(i). Factor r(l).
2*(l + 2)**3/13
Find v such that 3/4*v - 1/2 - 1/4*v**2 = 0.
1, 2
Let c be (8 - (9 + 0))*0. Let o(w) be the first der