o) = -2*o**3 + o**2 - o - 1. Let f(p) = -10*i(p) - 3*u(p). Factor f(b).
2*(b - 1)*(b + 1)**2
Let q(p) be the second derivative of 2*p**7/105 - p**6/75 - p**5/50 + p. Factor q(r).
2*r**3*(r - 1)*(2*r + 1)/5
Let n(o) be the third derivative of -3*o**8/896 - o**7/70 - 3*o**6/320 + o**5/80 + 10*o**2. Find s such that n(s) = 0.
-2, -1, 0, 1/3
Let m(g) be the second derivative of g**4/4 - 3*g**2/2 - 3*g. Solve m(k) = 0 for k.
-1, 1
Let d(v) be the second derivative of -v**4/18 + v**3/3 - 2*v**2/3 - 9*v. Find u such that d(u) = 0.
1, 2
Factor 3*p**2 + 5*p + 3 - 3*p - 3.
p*(3*p + 2)
Let k = -51 + 54. Let 2*n**2 - 2/3*n**k + 2/3 - 2*n = 0. Calculate n.
1
Let l(i) be the second derivative of -i**4/12 - 4*i**3/3 - 8*i**2 - 5*i. Find g, given that l(g) = 0.
-4
Factor -8*c**3 + 4*c**4 - 5*c**4 + 6*c**3 - c**2.
-c**2*(c + 1)**2
Suppose 46*x = 42*x. Factor x*j + 2*j**3 + 2/3*j**2 + 0.
2*j**2*(3*j + 1)/3
Let y(t) = -5*t**2 - 6*t + 16*t**3 - t**2 - 3*t**2 - t**2. Let m(k) = 3*k**3 - 2*k**2 - k. Let w(v) = 11*m(v) - 2*y(v). Suppose w(o) = 0. What is o?
0, 1
Factor 7/3*p**2 + 20/3 - 24*p.
(p - 10)*(7*p - 2)/3
Let p be (-34)/(-8) + 1/(-4). Suppose 0 = 4*d + 5*q - 41, 4*d = 4*q - p - 0. Suppose -5*u + d*u - 3*u - 2*u**2 - 2 = 0. What is u?
-1
Suppose -114*r + 15 = -109*r. Let u(s) be the second derivative of -1/7*s**2 - 1/21*s**3 - 3/70*s**5 + 5/42*s**4 + r*s + 0. Solve u(c) = 0.
-1/3, 1
Let h(i) = -i**5 + i**4 - 3*i**3 - 3*i**2. Let t(q) = 5*q**5 - 4*q**4 + 13*q**3 + 13*q**2. Let l(g) = 9*h(g) + 2*t(g). Determine k so that l(k) = 0.
-1, 0, 1
Suppose -3*i + i - 25 = -5*c, -c - 4*i - 17 = 0. Let q(y) be the first derivative of -y**2 - 2 + 1/5*y**5 - y + 0*y**c + 1/2*y**4. Let q(b) = 0. Calculate b.
-1, 1
Let z(n) be the first derivative of 5/18*n**3 + 2 - 1/24*n**4 - 7/12*n**2 + 1/2*n. Determine t, given that z(t) = 0.
1, 3
Let -68/3*t**4 + 16/3*t**2 + 0 + 0*t + 8/3*t**3 + 10*t**5 = 0. What is t?
-2/5, 0, 2/3, 2
Let w(x) = -x**4 + 3*x**3 - x**2 - 3*x - 2. Let c(g) = -g**3 + g**2 + g + 1. Let d(p) = 2*c(p) + w(p). Let d(n) = 0. Calculate n.
-1, 0, 1
Let v(a) be the second derivative of -a**6/70 - 3*a**5/28 - a**4/4 - 3*a**3/14 + 16*a. Factor v(r).
-3*r*(r + 1)**2*(r + 3)/7
Let y(h) = -h**3 + h**2 + 2. Let a be y(2). Let f = 4 + a. Let 2*i - 2*i - 4*i**2 + 2*i**3 + f*i = 0. Calculate i.
0, 1
Suppose 39 = 5*v - 2*v. Factor v*h**4 + 0*h**2 - 2*h**2 - 11*h**4 + 2*h**3 - 2*h**5.
-2*h**2*(h - 1)**2*(h + 1)
Let w = -575 + 575. What is l in w*l**2 + 1/5*l**3 + 0 - 1/5*l = 0?
-1, 0, 1
Let k(z) = -z**3 - 4*z**2 + 8. Let w be k(-4). Let c be (-3 - 1)/w - -1. Let -1/2*l**3 + 0 + 1/2*l**4 - c*l**2 + 1/2*l = 0. Calculate l.
-1, 0, 1
Let b = 7 - 11. Let a = 0 - b. Find m such that -2*m**3 + 2*m**a - 1 + 2*m - 3*m**2 - m**4 + 3*m**2 = 0.
-1, 1
Let o be (-1 - 0) + (-17)/(952/(-72)). Solve 0 + 0*b + 2/7*b**3 - 2/7*b**2 + 2/7*b**4 - o*b**5 = 0.
-1, 0, 1
Factor 0 - 1/4*i - 1/2*i**3 + 1/8*i**4 + 5/8*i**2.
i*(i - 2)*(i - 1)**2/8
Let y(w) be the first derivative of -1/6*w**6 + 0*w + 1/2*w**4 - 1/2*w**2 - 3 + 0*w**3 + 0*w**5. Factor y(i).
-i*(i - 1)**2*(i + 1)**2
Let y(s) be the second derivative of -s**4/2 - 11*s**3/4 + 9*s**2/4 - 11*s. Find f such that y(f) = 0.
-3, 1/4
Let q be ((-170)/136)/((-10)/12). What is v in 0*v - 3/2*v**5 + 0 - 3/2*v**4 + 3/2*v**2 + q*v**3 = 0?
-1, 0, 1
Suppose 0*c - 2 = -2*c. Let g(k) = 6*k**2 + 5. Let u(m) = m**2 + 1. Let f(t) = c*g(t) - 5*u(t). What is q in f(q) = 0?
0
Let u(f) be the first derivative of -3 - 1/6*f**2 + 0*f + 1/9*f**3. Factor u(q).
q*(q - 1)/3
Let a(w) = 11*w**4 + 26*w**3 + 16*w**2 - 14*w - 9. Let p(t) = t**4 + t**3 + t**2 + t + 1. Let b(m) = -a(m) + 6*p(m). Find f such that b(f) = 0.
-3, -1, 1
What is y in 0 - 12/7*y + 4/7*y**2 = 0?
0, 3
Determine t so that -1/4*t**4 + 0 + 1/4*t**2 - 1/4*t**3 + 1/4*t = 0.
-1, 0, 1
Let c(n) be the second derivative of n**6/25 + 9*n**5/100 - n**3/10 - 15*n. Determine f so that c(f) = 0.
-1, 0, 1/2
Let p = -4/131 - -1592/655. Let g be -2 - ((-14)/10 + -1). Factor g + 2*n**2 - p*n.
2*(n - 1)*(5*n - 1)/5
Let w(c) be the third derivative of -c**9/241920 + c**8/40320 - c**5/20 + 2*c**2. Let j(k) be the third derivative of w(k). Let j(v) = 0. What is v?
0, 2
Let g(o) = 15*o**4 - 280*o**3 - 265*o**2 - 140*o. Let i(s) = -s**4 + 20*s**3 + 19*s**2 + 10*s. Let q(x) = 6*g(x) + 85*i(x). What is d in q(d) = 0?
-2, -1, 0
Let s = -9 - -14. Let k be (s - 6)/(1/(-4)). Factor 2/5*r**k - 2/5*r + 0 - 2/5*r**2 + 2/5*r**3.
2*r*(r - 1)*(r + 1)**2/5
Let l = -1/168 + 115/504. Determine s so that 2/9*s**2 + l + 4/9*s = 0.
-1
Let t(y) be the first derivative of -5*y**3/9 + 2*y**2/3 + y/3 - 25. Factor t(a).
-(a - 1)*(5*a + 1)/3
What is r in -1/7*r**5 + 0*r**3 + 0*r**2 + 2/7*r**4 + 0*r + 0 = 0?
0, 2
Let p(u) = u**4 - 12*u**3 + 25*u**2 + 12*u - 16. Let y(b) = -4*b**4 + 36*b**3 - 76*b**2 - 36*b + 48. Let t(a) = 16*p(a) + 5*y(a). Determine j so that t(j) = 0.
-4, -1, 1
Let l(z) be the third derivative of 1/525*z**7 - 1/840*z**8 + 0 - 1/60*z**4 - 1/75*z**5 + 1/15*z**3 + 1/150*z**6 + z**2 + 0*z. What is k in l(k) = 0?
-1, 1
Let j(s) be the first derivative of s**6/42 + s**5/35 - 5*s**4/28 - s**3/21 + 4*s**2/7 - 4*s/7 + 38. Find f such that j(f) = 0.
-2, 1
Let g be 143/65 + 8/10. Let p(h) be the third derivative of 0*h**4 + 0*h**5 + 0*h**g - 5/336*h**8 - 1/60*h**6 + 1/30*h**7 + 0 + 2*h**2 + 0*h. Factor p(c).
-c**3*(c - 1)*(5*c - 2)
Let s be 48/84 - (-8)/(-14). Let c(m) be the third derivative of 0*m + 1/60*m**6 + 1/15*m**5 + 0*m**3 - 2*m**2 + s + 0*m**4. Suppose c(k) = 0. What is k?
-2, 0
Let u be 2 + ((-12)/2)/(-3). Factor -4*a**2 - 2*a**3 + 6*a**u + a**2 - 2*a**4 - a**2 + 2*a**5.
2*a**2*(a - 1)*(a + 1)*(a + 2)
Let i be 2889/180 - (-3)/4. Let m = i - 14. Suppose 0 + 0*k**2 + 4/5*k**3 + 0*k - 2*k**4 - m*k**5 = 0. What is k?
-1, 0, 2/7
Let q(o) be the first derivative of 0*o - 3/14*o**2 + 5 - 45/7*o**4 - 32/7*o**6 - 13/7*o**3 - 48/5*o**5. What is g in q(g) = 0?
-1, -1/4, 0
Solve 2*v - v**3 - 8*v**2 - 101*v**4 - v**3 + 109*v**4 = 0 for v.
-1, 0, 1/4, 1
Let l(w) = -4 + w**2 + 4 + w**3 - w. Let y(p) = -p**3 - 13*p**2 + 19*p - 8. Let n(g) = -3*l(g) - y(g). Suppose n(z) = 0. What is z?
1, 2
Let r = 16 + -12. Suppose 2 = 3*j - r. Factor -8/7 + 2*g**j - 24/7*g.
2*(g - 2)*(7*g + 2)/7
Let s(m) = -4*m**3 - 5*m**2 + 2*m. Let d(v) be the first derivative of -v**4/4 + 3. Let k(p) = -3*d(p) - s(p). What is h in k(h) = 0?
-1, 0, 2/7
Factor -5/4*y**3 - y + 3*y**2 + 0.
-y*(y - 2)*(5*y - 2)/4
Let o = 16 + 16. Let g be 2*(-2)/o*-4. Factor 1/4*d**4 + 0 + g*d + 0*d**3 - 3/4*d**2.
d*(d - 1)**2*(d + 2)/4
Let q(g) be the second derivative of -g**9/7560 - g**8/2100 + g**6/450 + g**5/300 + 7*g**3/6 + 3*g. Let n(s) be the second derivative of q(s). Factor n(i).
-2*i*(i - 1)*(i + 1)**3/5
Let m = -18 - -18. Suppose -v = 3*k - 7 + 2, k = -5*v - 3. Factor 0 + m*a + 1/3*a**k.
a**2/3
Let n(g) be the third derivative of -g**5/60 - g**4/6 + 4*g**2. Solve n(c) = 0 for c.
-4, 0
Let m(o) = 2*o - 1. Let j(v) be the first derivative of -v**3/3 - v**2/2 + v - 3. Let b(h) = -j(h) - m(h). Solve b(k) = 0.
0, 1
Let o = -97 - -487/5. Factor -o*k**2 + 0*k**3 + 2/5*k**4 + 0*k + 0.
2*k**2*(k - 1)*(k + 1)/5
Let p = 873 - 521. Let v = -1401/4 + p. Factor 0 - 1/2*c + v*c**2.
c*(7*c - 2)/4
Let c(d) be the third derivative of -d**5/100 - d**4/40 + d**3/5 - 6*d**2. Factor c(q).
-3*(q - 1)*(q + 2)/5
Let j = 14 + -11. Let -j*x**5 + 6*x**3 - 1 + 6*x + 1 - 9*x = 0. Calculate x.
-1, 0, 1
Let x(l) be the second derivative of -l**9/68040 + l**7/5670 - l**5/540 - l**4/3 + 2*l. Let g(t) be the third derivative of x(t). Let g(v) = 0. Calculate v.
-1, 1
Let y be ((-1)/(-4) - 33/108)*-44. Let 0 - y*u**2 - 32/9*u**3 - 4/9*u - 14/9*u**4 = 0. Calculate u.
-1, -2/7, 0
Factor 10*f**2 + 5/4*f**4 - 25/4*f**3 + 0 - 5*f.
5*f*(f - 2)**2*(f - 1)/4
Suppose 0 = -2*b - 5*y + 35, 2*y = 2*b + y - 29. Let x be (-9)/b - 19/(-15). Find d such that 0 + 2/9*d**4 + x*d**3 + 2/9*d + 2/3*d**2 = 0.
-1, 0
Let k be (16/(-12) - -1)/(-20). Let x(w) be the third derivative of 1/12*w**4 + 2*w**2 + 1/105*w**7 + 0*w**3 + 0 + 0*w - k*w**6 - 1/30*w**5. Factor x(f).
2*f*(f - 1)**2*(f + 1)
Suppose -3*v = -8*v. Let m(t) be the first derivative of 0*t + v*t**5 - t**4 + 1/3*t**6 - 2 + 0*t**3 + t**2. Find y, given that m(y) = 0.
-1, 0, 1
Let v = -