0 - p**2 = 0. What is p?
-3, -1, 0
Suppose -5*r + 222 = 2*y, -4*r + 310 = 3*y - 8*r. Factor -x + 5*x**5 + 96*x**3 + 6*x - y*x**3.
5*x*(x - 1)**2*(x + 1)**2
Let l be (-1 + 7)/(-2) - (0 - 22). Suppose 0 = -20*h + l*h + 2. Solve 0*p + 0 - 4/3*p**4 - p**5 + 1/3*p**3 + 2/3*p**h = 0.
-1, 0, 2/3
Suppose 2*y + 2*y = -16. Let r = y + 6. Suppose d**2 - 28*d**3 - 4*d**r + 2 + 10*d - 6*d**4 + 5*d**2 + 18*d**5 + 2*d**2 = 0. What is d?
-1, -1/3, 1
Factor -40*x**3 + 13*x**3 - 3*x - 137*x**2 + 155*x**2 + 12*x**4.
3*x*(x - 1)**2*(4*x - 1)
Let n(p) be the first derivative of p**5/30 - p**3/6 - p**2/6 + 76. What is r in n(r) = 0?
-1, 0, 2
Let j = -2079 - -2081. Factor -1/2*n**j - 5/2*n - 3.
-(n + 2)*(n + 3)/2
Let q be (-530)/(-70) - (4/(-7))/(-1). Suppose q*p = 14*p. Factor 4/9*m**4 + p*m - 2/3*m**3 + 0 + 2/9*m**2.
2*m**2*(m - 1)*(2*m - 1)/9
Let t = 1933 - 1933. Let t - 3/2*j**2 + 1/4*j**3 + 9/4*j = 0. Calculate j.
0, 3
Let n = 2 - 9. Let u = 9 + n. Factor 6*m**3 - 2*m**3 - 3*m**3 + 4*m - m**2 - 3*m**u.
m*(m - 2)**2
Let c(y) be the first derivative of 0*y**3 - 1/3*y**2 - 5/3*y**5 + 11/8*y**4 + 0*y - 10 + 7/12*y**6. Let c(x) = 0. What is x?
-2/7, 0, 2/3, 1
Determine t so that -2/11*t**2 + 2/11*t**4 + 0 - 4/11*t**3 + 4/11*t = 0.
-1, 0, 1, 2
Suppose 5*j = -25*r + 26*r + 5, r = -5*j - 5. Determine z, given that j + 6*z**4 + 2/3*z**5 + 16*z**3 + 32/3*z**2 + 0*z = 0.
-4, -1, 0
Suppose -5*m = 3*m - 24. Factor 2*z**2 - z**4 + 0*z**4 - 2*z**2 + z**m + 2*z**2.
-z**2*(z - 2)*(z + 1)
Let b(i) be the first derivative of 2*i**5/5 - 9*i**4/4 + 2*i**3/3 + 9*i**2/2 - 4*i - 331. Let b(n) = 0. What is n?
-1, 1/2, 1, 4
Let i(l) = -l**3 - 10*l**2 - 11*l - 5. Let q be i(-8). Let p be (-24)/q - (-2)/(-6). Let 0 + p*k - 1/5*k**2 = 0. Calculate k.
0, 1
Let m = 18 + -24. Let j(w) = -4*w**3 + 8*w**2 + 4*w + 4. Let o(b) = -b**3 - b. Let x(y) = m*o(y) + j(y). Determine v, given that x(v) = 0.
-2, -1
Suppose 135*o**2 + 401*o**5 + 1360*o**4 + 10*o + 559*o**5 - 3859*o**3 + 4519*o**3 = 0. What is o?
-2/3, -1/4, 0
Solve -72 - 8*y**2 - 8*y**2 - 100*y + 28*y**2 = 0 for y.
-2/3, 9
Determine u so that 243 - 412 - u**2 + 0*u**2 + 26*u = 0.
13
Let y be ((-10)/15)/(1/(18/(-4))). Let y*k**2 - 16 + 16 + 16*k + 8*k = 0. What is k?
-8, 0
Suppose -18*r + 6 = -192. Factor -16/3 + 10/3*k**3 - 1/3*k**4 + 40/3*k - r*k**2.
-(k - 4)**2*(k - 1)**2/3
Factor -26/9*j + 1/9*j**3 - 1/9*j**2 - 8/3.
(j - 6)*(j + 1)*(j + 4)/9
Let r(o) be the third derivative of o**5/60 - 19*o**4/24 + 17*o**3/3 - 29*o**2. Let u be r(17). Let 3/4*t + 3/4*t**2 + u = 0. What is t?
-1, 0
Let j(a) = -a**2 - 8*a - 1. Let p(o) = 10*o - 7. Let r be p(2). Let x(g) = 2*g**2 + 17*g + 2. Let q(z) = r*j(z) + 6*x(z). Solve q(w) = 0.
-1
Let z = -532/3 - -178. Determine v, given that 6/5*v**2 - 14/15*v + 4/15 - z*v**3 + 2/15*v**4 = 0.
1, 2
Let q(v) be the third derivative of v**5/120 - 31*v**4/24 - 32*v**3/3 - 925*v**2. Factor q(u).
(u - 64)*(u + 2)/2
Factor 2142*r**2 + 2*r**3 - 4*r**3 - 2152*r**2 + 5*r**3 - 5*r**3.
-2*r**2*(r + 5)
Let f be (1/(-5))/((-11)/110). Factor -4/3 + 0*h + h**f + 1/3*h**3.
(h - 1)*(h + 2)**2/3
Let g(s) = s**3 + 10*s**2 + 9*s - 3. Let d be g(-9). Let f be (-26 - -26) + d/(-1). Factor -1/2*h**2 + h + 1/2 - h**f.
-(h - 1)*(h + 1)*(2*h + 1)/2
Let i(f) = 3*f**3 + 9*f**2 + 18*f - 6. Let w(a) = a**3 + a**2 + 2*a - 1. Let u(y) = i(y) - 6*w(y). Factor u(q).
-3*q*(q - 2)*(q + 1)
Let l(a) = a**3 + 55*a**2 - 671*a + 623. Let b(y) = -7*y**3 - 332*y**2 + 4024*y - 3737. Let v(m) = -6*b(m) - 39*l(m). Solve v(f) = 0.
1, 25
Let j(s) be the first derivative of 8*s**2 - 4*s - 7/3*s**3 - 25. Determine b so that j(b) = 0.
2/7, 2
Suppose -5*l - 10 = 0, h - 24 = 5*l - 14. Determine j so that 0*j**2 - 2/5*j**3 + 0*j - 2/5*j**4 + h = 0.
-1, 0
Let v(f) be the first derivative of -f**5/45 - f**4/18 + 5*f**3/27 + f**2/3 - 39. Find x such that v(x) = 0.
-3, -1, 0, 2
Let w(y) be the second derivative of 0 - 1/160*y**5 + 0*y**2 + 1/48*y**3 + 0*y**4 - 12*y. What is j in w(j) = 0?
-1, 0, 1
Let 0 + 1/3*n**3 + 4*n - 8/3*n**2 = 0. Calculate n.
0, 2, 6
Suppose 164*u - 185*u = -42. Factor 6*c**3 - 9/2*c**4 + 3/2*c**u + 0 - 3*c.
-3*c*(c - 1)**2*(3*c + 2)/2
Let j(x) be the first derivative of 3*x + 1/3*x**3 + 16 + 2*x**2. Factor j(a).
(a + 1)*(a + 3)
Let c(h) be the third derivative of -h**9/90720 - 5*h**5/12 + 3*h**2. Let k(r) be the third derivative of c(r). What is z in k(z) = 0?
0
Let u be (-33)/((-231)/(-70)) + 13. Let c(n) be the first derivative of -28/15*n**u - 3 + 6/5*n**2 + 0*n - 4/25*n**5 + n**4. Let c(d) = 0. Calculate d.
0, 1, 3
Let y be -4*(-8)/(-20)*30/(-3). Suppose -17*o + y = -9*o. Factor 8/7*g**o + 0 - 2/7*g**5 - 4/7*g**4 + 6/7*g**3 - 8/7*g.
-2*g*(g - 1)**2*(g + 2)**2/7
Suppose -242 + 40 - 122 - 472*s**2 - 4*s**4 - 80*s**3 - 720*s = 0. What is s?
-9, -1
Let a(u) = 2*u**3 - 7*u**2 + 31*u - 32. Let c(h) = 3*h**3 - 8*h**2 + 32*h - 32. Let s(x) = -4*a(x) + 3*c(x). Factor s(w).
(w - 2)**2*(w + 8)
Let c(h) be the third derivative of 0*h**3 + 3/25*h**5 + 0*h - 1/6*h**4 - 2/525*h**7 + 0 - 1/50*h**6 + 45*h**2. Factor c(u).
-4*u*(u - 1)**2*(u + 5)/5
Let t(l) be the third derivative of 0 - 1/36*l**4 + 2/9*l**3 - 13*l**2 - 1/90*l**5 + 0*l. Factor t(n).
-2*(n - 1)*(n + 2)/3
Let z(d) = -35*d**2 + 250*d - 2450. Let r(i) = i**2 - i + 1. Let l(y) = -30*r(y) - z(y). Factor l(m).
5*(m - 22)**2
Factor 1/9*f**5 + 5/3*f**4 + 116/9*f**2 + 22/3*f**3 + 8*f + 0.
f*(f + 2)**3*(f + 9)/9
Let x(p) = 50*p**3 + 135*p**2 + 222*p - 185. Let r(w) = -6*w**3 - 17*w**2 - 28*w + 23. Let o(m) = -51*r(m) - 6*x(m). Factor o(f).
3*(f + 3)*(f + 7)*(2*f - 1)
Let a = 16 - 14. Suppose -14 - 26 = -3*b - a*o, 4*b - 2*o - 72 = 0. Factor k**3 + 20*k - 2*k**3 + 7*k**3 + 8 - 2*k**3 + b*k**2.
4*(k + 1)**2*(k + 2)
Let q(y) be the first derivative of -y**6/72 - y**5/12 + 5*y**4/8 - 9*y**3 - 28. Let f(g) be the third derivative of q(g). Factor f(c).
-5*(c - 1)*(c + 3)
Let j(g) = g**2 - 2*g - 58. Let c be j(9). Let f(q) be the first derivative of 0*q + 0*q**3 + 3 + 0*q**2 + 1/5*q**c + 1/2*q**4. Factor f(x).
x**3*(x + 2)
Let b = 8749 + -8744. Factor 1/3*j**4 + 1/3*j**b - 1/3*j**3 - 1/3*j**2 + 0*j + 0.
j**2*(j - 1)*(j + 1)**2/3
Let x(r) be the first derivative of r**5/30 + 3*r**4/8 + 10*r**3/9 - 492. Suppose x(i) = 0. What is i?
-5, -4, 0
Let v(b) be the first derivative of -b**5/330 + 2*b**4/33 - 16*b**3/33 + b**2 + 20. Let h(u) be the second derivative of v(u). Suppose h(w) = 0. What is w?
4
Factor 5*l - 3*l**4 + 819*l**3 - 822*l**3 + 3*l**2 - 2*l.
-3*l*(l - 1)*(l + 1)**2
Let f(p) be the second derivative of 19*p + 0 + 0*p**2 + 1/42*p**7 + 0*p**3 - 1/10*p**5 + 0*p**4 + 1/30*p**6. Factor f(t).
t**3*(t - 1)*(t + 2)
Let p be (-111)/9 + 2/6. Let h = p - -17. Let 15*v**2 - h*v**2 + 3*v + v + 2*v**3 - 4*v**4 = 0. What is v?
-1, -1/2, 0, 2
Let v(x) be the first derivative of -21/5*x**5 - 8 + 0*x + 12*x**4 - 11*x**3 + 3*x**2. Determine q so that v(q) = 0.
0, 2/7, 1
Let -21*c**2 - 270 + c**3 + 50*c + 69 - 42 + 85*c = 0. What is c?
3, 9
Let o(a) be the first derivative of 0*a + 4 - 2/15*a**3 + 0*a**2 + 1/10*a**4. Determine i, given that o(i) = 0.
0, 1
Suppose -161 - 2779 = 15*m. Let o = 982/5 + m. Let o*x**2 + 8/5 - 8/5*x = 0. What is x?
2
Let y = 221/36 + 1957/36. Factor -1/6*b**3 + 11/2*b**2 + 1331/6 - y*b.
-(b - 11)**3/6
Factor 6*x + 9*x**3 - 106 + 54 + 3*x**4 - 3*x**5 - 15*x**2 + 52.
-3*x*(x - 1)**3*(x + 2)
Let i(u) be the second derivative of 2*u**5/15 + 17*u**4/36 + u**3/9 - 167*u. Factor i(c).
c*(c + 2)*(8*c + 1)/3
Let i(u) be the second derivative of -u**5/130 + 11*u**4/78 - 2*u**3/3 + 16*u**2/13 + 345*u. Factor i(d).
-2*(d - 8)*(d - 2)*(d - 1)/13
Factor -i**3 + 62*i + 5*i**3 - 126*i + 16*i**2 + 8 + 84*i.
4*(i + 1)**2*(i + 2)
Let m(b) be the second derivative of 0*b**2 + 20*b + 4*b**3 - 2/3*b**4 + 1/30*b**5 + 0. Factor m(a).
2*a*(a - 6)**2/3
Factor -2/13*v**3 + 24/13*v**2 - 96/13*v + 128/13.
-2*(v - 4)**3/13
Let 174/5*u**2 + 252/5*u**3 + 24/5 - 98/5*u**4 - 152/5*u = 0. What is u?
-1, 2/7, 3
Let v(i) = -8*i**3 - 4*i**2 + i - 2. Let b be v(-2). Let g be ((-4)/18)/(b/(-66)). Determine a, given that g*a + 1/6*a**3 + 0 + 1/2*a**2 = 0.
-2, -1, 0
Let d(x) = -20*x**2 - 5*x**4 + 24*x**3 - 31*x**2 - 30*x + 42 - 4*x**4 + 6*x. Let t(v) = -v**4 - v**2 - 1. Let q(g) = -d(g) + 6*t(g). Factor q(y).
3*(y - 4)**2*(y - 1)*(y