*o**5 + 0 = 0.
-1, 0, 1, 3
Let i = 48 + -44. Let k(w) be the first derivative of 1/9*w**2 + 0*w**3 + 0*w - 1/18*w**i - 1. Factor k(q).
-2*q*(q - 1)*(q + 1)/9
Let a be (32/(-14) - -2) + (-28)/(-98). Suppose -2/3*x**2 + 2/3 + a*x = 0. What is x?
-1, 1
Let k(r) = 40*r**3 - 30*r**2 - 26*r - 16. Let p(d) = -8*d**3 + 6*d**2 + 5*d + 3. Let a(m) = -3*k(m) - 16*p(m). Factor a(u).
2*u*(u - 1)*(4*u + 1)
Suppose -5*s + 3*d - 6 = -28, 10 = 3*s - d. Factor s*b**2 + 7*b**2 - 2*b**3 + 10*b - 16*b - b**3.
-3*b*(b - 2)*(b - 1)
Let s(q) be the first derivative of 4/11*q + 7/11*q**2 - 7/22*q**4 - 6 + 2/11*q**3 - 2/11*q**5. Let s(l) = 0. What is l?
-1, -2/5, 1
Let z be 0 + 3 - (-12)/(-4). Let a be z*(-1 + 1 + -1). Suppose -2/9*i**4 + 2/9*i**3 + 4/9*i**2 + 0*i + a = 0. Calculate i.
-1, 0, 2
Let r be (4 - 3)/(2/10). Let d(h) be the first derivative of -3/4*h**4 + h**3 + 1/5*h**r + 0*h - 1/2*h**2 + 2. Factor d(g).
g*(g - 1)**3
Let k be -2*1/((-8)/44). Find f such that k - 11 - 4*f**2 - 4*f = 0.
-1, 0
Let j(y) be the third derivative of 5*y**8/112 - y**7/21 - y**6/6 + y**5/6 + 5*y**4/24 - 18*y**2. Solve j(g) = 0.
-1, -1/3, 0, 1
Let h(k) be the third derivative of k**5/60 + k**4/4 + 7*k**3/6 + 2*k**2. Let r be h(-5). Factor x**3 - r - 2*x**2 - 2*x**2 + 0*x + 5*x.
(x - 2)*(x - 1)**2
What is v in -5 + 7 - 3*v - v + 2*v**2 = 0?
1
Let k be 1/2 + 309/(-630). Let v(r) be the second derivative of k*r**6 + 0*r**2 + r + 0 + 0*r**5 + 0*r**3 + 0*r**4. Suppose v(z) = 0. Calculate z.
0
Let b = -160/39 - 432/13. Let n = b + 38. Find h such that -2/3*h**3 - n*h + 0 - 4/3*h**2 = 0.
-1, 0
Let v(q) = 2*q**2 - q + 1. Let k be v(1). Suppose 3*i - k = 7. Factor -1/3*y + y**4 + 1/3*y**i - y**2 + 0.
y*(y - 1)*(y + 1)*(3*y + 1)/3
Let n be (2/5)/(1194/(-240) + 5). Let u(m) be the first derivative of 6*m**2 + 0*m + n*m**3 + 49*m**6 + 1 - 273/5*m**5 - 81/4*m**4. Suppose u(h) = 0. What is h?
-2/7, 0, 1/2, 1
Determine i, given that 2*i - 6*i - 2*i**3 + i**3 + 4*i**2 + 0*i**3 = 0.
0, 2
Let m(a) be the third derivative of 4*a**2 + 0*a + 0 + 1/8*a**4 - 1/20*a**5 + 0*a**3. Suppose m(q) = 0. Calculate q.
0, 1
Let f be (-6)/10 - 69/(-15). Suppose 0 = 2*m + 2*v, -2*m = -f*m + 3*v + 10. Factor -m*n**3 - 2*n - 4*n**3 + n**3 + 3*n**3 + 4*n**2.
-2*n*(n - 1)**2
Factor 4*n**3 - 33 + n**4 - 2*n**3 - 2*n + 32.
(n - 1)*(n + 1)**3
Let o(b) be the first derivative of 5 - 1/3*b**3 - 5/3*b**2 - b. Factor o(w).
-(w + 3)*(3*w + 1)/3
Factor 60*g**2 - 5*g + 6 + 59*g**2 - 120*g**2.
-(g - 1)*(g + 6)
Let z(v) be the first derivative of v**5/30 - v**4/24 - v**3/18 + v**2/12 + 21. Factor z(q).
q*(q - 1)**2*(q + 1)/6
Suppose 0*a = -2*g + 3*a + 16, -3*a = 12. Determine v so that 0 + 0*v**g + 0*v - 2/3*v**3 = 0.
0
Let m = 5/47 + 180/517. Let f = 37/33 - m. Let 2*n**2 + f - 2/3*n**3 - 2*n = 0. Calculate n.
1
Let b(a) be the first derivative of -a**6/24 + a**5/20 + 28. Factor b(y).
-y**4*(y - 1)/4
Let s(w) = w**3 - 2*w**2 + w - 10. Let q be s(3). Determine x, given that 0 - x + 1/2*x**q = 0.
0, 2
Factor 1/4*z**3 + 1/2*z**2 + 0 + 1/4*z.
z*(z + 1)**2/4
Let w(v) be the third derivative of -v**7/560 - v**6/80 - v**5/32 - v**4/32 + 21*v**2. Determine b so that w(b) = 0.
-2, -1, 0
Let x(b) be the third derivative of b**7/490 - b**6/35 + 11*b**5/70 - 3*b**4/7 + 9*b**3/14 + 4*b**2. Determine p so that x(p) = 0.
1, 3
Let j(s) be the first derivative of s**5/5 + 7*s**4/4 + 6*s**3 + 10*s**2 + 8*s - 17. Let j(t) = 0. Calculate t.
-2, -1
Let a(o) be the third derivative of -o**5/15 + o**4/2 - 4*o**3/3 - 8*o**2. Factor a(x).
-4*(x - 2)*(x - 1)
Suppose 2*n - f = 15, 3*f - 2 - 19 = -5*n. What is i in 6*i - 2 + 2*i**2 - n*i = 0?
-1, 1
Let c(h) be the third derivative of -h**8/784 - 13*h**7/490 - 33*h**6/140 - 81*h**5/70 - 27*h**4/8 - 81*h**3/14 + 8*h**2. Factor c(u).
-3*(u + 1)*(u + 3)**4/7
Let i = 80795633/325206 + -1/36134. Let l = i + -248. Factor -l*b**2 + 0 - 2/9*b.
-2*b*(2*b + 1)/9
Suppose -h + 11 = 5*t, t = -3*t - 4*h - 4. Suppose 3 = t*n - 2*n. Determine u so that -2*u + 7*u**4 - 3 - u**n + 3 + 13*u**3 + 3*u**2 = 0.
-1, 0, 2/7
Let l(v) be the third derivative of v**7/315 - v**6/180 - 2*v**2. Find u such that l(u) = 0.
0, 1
Factor -48/7 - 24/7*j - 3/7*j**2.
-3*(j + 4)**2/7
Let w be -130*(-1)/(-49) + 4. Let o = 552/245 + w. Solve -36/5*u - o*u**2 - 24/5 - 3/5*u**3 = 0 for u.
-2
Let z = 34 + -69. Let f be 4/(-6)*21/z. Solve f*g**5 + 0 + 2/5*g**2 - 2/5*g**3 - 2/5*g**4 + 0*g = 0 for g.
-1, 0, 1
Find x, given that 4 + 8*x**2 + 1 - 14*x**2 + 3*x**3 - 3*x + 1 = 0.
-1, 1, 2
Let p(f) be the second derivative of -4*f**2 + 0 + 17/4*f**5 + 2*f + 5/2*f**6 - 6*f**3 - 3/2*f**4. Factor p(z).
(z + 1)*(3*z - 2)*(5*z + 2)**2
Let u = 11 - 6. Suppose -4*i - u*n = -2, 4*n = -7*i + 5*i - 2. Solve 2*y**i - 2*y + 4/5 + 14/5*y**4 - 18/5*y**2 = 0.
-1, 2/7, 1
Let l = 4 - 3. Let k be l + -1*4/(-2). Determine q so that q**3 - q**2 + q - 3*q**k + q + q**4 = 0.
-1, 0, 1, 2
Suppose -2*r + 1 - 29 = 0. Let v = r + 14. Factor -6/7*n**4 - 10/7*n**3 + v*n - 4/7*n**2 + 0.
-2*n**2*(n + 1)*(3*n + 2)/7
Suppose 5*y = -3*z + 30, 3*y - z = -0*y + 4. Let p**2 + p**3 + 3*p - 4*p**4 - 3*p - p**5 + y*p**4 = 0. Calculate p.
-1, 0, 1
Let q(o) = 6*o**3 + 4*o**2 - 2*o - 5. Let b(d) = -3*d**3 - 2*d**2 + d + 2. Let f(x) = 5*b(x) + 2*q(x). Factor f(s).
-s*(s + 1)*(3*s - 1)
Let y be (-3)/9 + 75/9. Suppose 5*d - y = -5*i + 7, 2*i - 10 = -4*d. Factor 1/6*f + 1/6*f**d + 0.
f*(f + 1)/6
Let z(u) be the second derivative of u**5/170 - u**4/102 - 2*u + 1. Find j, given that z(j) = 0.
0, 1
Find v such that 78*v**2 + 42*v - 20*v + 5*v**4 + 57*v**2 + 45*v**3 + 113*v = 0.
-3, 0
Let a be (-4)/22 + 560/660. Suppose 0 + 5/3*i**2 + a*i = 0. What is i?
-2/5, 0
Suppose 0 - 2/15*i**4 - 4/3*i + 4/3*i**3 + 2/15*i**2 = 0. What is i?
-1, 0, 1, 10
Let y(r) be the third derivative of 0*r + 0*r**3 - 1/240*r**6 + 1/48*r**4 + 0*r**5 - 10*r**2 + 0. Determine s, given that y(s) = 0.
-1, 0, 1
Solve -2*k**4 - 8 + 36*k**3 + 4*k**2 - 12*k - 24*k**3 + 6*k**4 = 0.
-2, -1, 1
Let s(f) be the third derivative of f**6/120 + 2*f**5/15 + 5*f**4/6 + 8*f**3/3 + 12*f**2. What is c in s(c) = 0?
-4, -2
Let m(j) be the first derivative of -25*j**3/3 - 15*j**2 - 5*j - 16. Factor m(v).
-5*(v + 1)*(5*v + 1)
Solve -203*c**3 + 111*c**3 + 8*c**2 + 116*c**3 + 10*c**4 = 0 for c.
-2, -2/5, 0
Let b(i) = -2*i. Let f be b(2). Let n = f + 6. Factor -4/3*j**4 + 1/3*j + 0 - 4/3*j**2 + 1/3*j**5 + n*j**3.
j*(j - 1)**4/3
Let r be 10 - 43 - (0 + -1). Let q be ((-2)/10)/(r/120). Factor -3/4*v**2 + q*v**3 + 0 + 1/4*v - 1/4*v**4.
-v*(v - 1)**3/4
Let d(m) be the second derivative of m**2 + 0 + 1/12*m**4 + 3*m - 1/2*m**3. Suppose d(b) = 0. What is b?
1, 2
Let m(k) = -k**3 + 7*k**2 + 5. Let l = -15 - -22. Let g be m(l). Factor -4/5*a**4 + 0*a**2 + 0 - 2/5*a**3 + 0*a - 2/5*a**g.
-2*a**3*(a + 1)**2/5
Suppose -s - k + 5 = 0, s = 5*s - 3*k - 6. Suppose -2*m - s*m + o = -5, -2*o = -2*m - 6. Factor -4/3*d - 2/3 - 2/3*d**m.
-2*(d + 1)**2/3
Let f(a) = a - 1. Let u(l) = 5*l**2 + 35*l - 10. Let x(z) = 10*f(z) - u(z). Factor x(r).
-5*r*(r + 5)
Let l be 4 + 58/(-8) + 2. Let p = l - -23/12. Solve 2/3*q**2 + 0 + p*q - 2/3*q**4 - 2/3*q**3 = 0.
-1, 0, 1
Let m(g) = -6*g**2 + 21*g. Let s(h) = -h**2 + 3*h. Let r(w) = -4*m(w) + 27*s(w). Factor r(u).
-3*u*(u + 1)
Suppose -6*f - 49 + 67 = 0. Let z(q) be the third derivative of 0*q + 2*q**2 + 1/40*q**4 + 0 + 1/100*q**5 - 1/10*q**f - 1/200*q**6. Factor z(o).
-3*(o - 1)**2*(o + 1)/5
Suppose 5*t + 9 = -5*d + 29, 5*t = 5*d + 10. Factor -2*r**2 - r**t - r - r**3 + 2 + 3*r.
-2*(r - 1)*(r + 1)**2
Suppose 4*f - 46 = -14. Let v = -5 + f. Solve 0*b - 1/3*b**2 + 0 + 2/3*b**v - 1/3*b**4 = 0.
0, 1
Factor 8/9 - 2/3*m - 2/9*m**2.
-2*(m - 1)*(m + 4)/9
Find p, given that -4/3*p**2 + 0 + 4/3*p**4 + 2/3*p**5 + 0*p - 2/3*p**3 = 0.
-2, -1, 0, 1
Let d(h) be the second derivative of 7*h**5/10 + 3*h**4/2 + 2*h**3/3 - 2*h. Suppose d(u) = 0. What is u?
-1, -2/7, 0
Let u(z) be the third derivative of -3*z**2 + 0 + 2/15*z**3 + 1/60*z**4 - 1/150*z**5 + 0*z. Find l, given that u(l) = 0.
-1, 2
Let n be -106*(-2 - 45/(-24)). Let q = 269/20 - n. Suppose q*f**4 + 1/5*f**2 + 0 + 0*f - 2/5*f**3 = 0. What is f?
0, 1
Let s(p) = -p**4 + p**3 - p**2 + p. Let m(h) = -h**5 + 8*h**4 - 4*h**3 + 10*h**2 - 11*h - 2. Let d(v) = 3*m(v) + 24*s(v). Find n such that d(n) = 0.
-1, 1, 2