- 1/108*m**4 - 1/540*m**6 + 0*m**3 + 0. Solve s(q) = 0.
-1, 0
Let l = -1789 + 8981/5. Let p(k) be the first derivative of -l*k**5 - 1 - 141/8*k**4 + 2*k**3 + 0*k + 63/4*k**6 + 3*k**2. What is b in p(b) = 0?
-2/3, -2/7, 0, 1/3, 1
Let m(p) = 5*p**2 + 3*p - 6. Let h(w) = 11*w**2 + 7*w - 13. Let k(x) = 4*h(x) - 9*m(x). Determine b so that k(b) = 0.
-1, 2
Let b(f) = 5*f**2 + 3*f - 2. Let r(l) = 6*l**2 + 3*l - 3. Let u(t) = -3*b(t) + 2*r(t). Factor u(x).
-3*x*(x + 1)
Let l = 2/3 - -1. Factor 1/3*b**4 + l*b - 2/3 - 1/3*b**3 - b**2.
(b - 1)**3*(b + 2)/3
Let k(l) be the second derivative of -l**3/6 - 2*l**2 + l. Let s be k(-6). Determine j so that j**s + j**2 + 5*j - 7*j = 0.
0, 1
Let l(n) be the second derivative of 0*n**2 - 1/50*n**5 + 2/15*n**3 - 1/30*n**4 - 3*n + 0. What is t in l(t) = 0?
-2, 0, 1
Let g be (-103)/(-585) - (-10)/(-65). Let y(w) be the second derivative of -1/30*w**5 + g*w**6 + 0*w**3 + 0*w**2 + 0*w**4 + 0 - 2*w. Factor y(t).
2*t**3*(t - 1)/3
Let k = 2576 + -12729/5. Let h = 163/5 - k. Factor 5*x**4 + 4/5 + 6*x**3 - h*x - 11/5*x**2.
(x + 1)**2*(5*x - 2)**2/5
Let q be (-4)/(-3 - 8/(-4)). Factor -1 + 2*i**2 - i**3 + q - 3 - i**4.
-i**2*(i - 1)*(i + 2)
Let j(l) be the second derivative of l**7/168 + l**6/40 + l**5/80 - l**4/16 - l**3/12 - 37*l. Find f such that j(f) = 0.
-2, -1, 0, 1
Let b(h) = 4*h**3 - 118*h**2 + 962*h - 2906. Let a(n) = -n**2 - n + 1. Let y(r) = -10*a(r) + b(r). Factor y(t).
4*(t - 9)**3
Let f be 0 + 4 - 0/2. Suppose -3*q - 12 = -p - 2*p, -f*p = -q - 10. Factor 3*k**3 + 0*k**2 - p*k**3 + 2*k**2.
k**2*(k + 2)
Factor 2/3*y**3 - 2/3*y**2 - 10/3*y - 2.
2*(y - 3)*(y + 1)**2/3
Let d(o) = o**3 - 10*o**2 - 12*o + 14. Let a be d(11). Factor 8*t + t**2 + 21 + 16*t + a*t**2 + 15.
4*(t + 3)**2
Find w, given that -4 + 0*w**2 + 2*w**3 + 2*w**2 - w**3 + w**2 = 0.
-2, 1
Let a be 2/((-4)/3)*-4. Suppose -3*u = -a*u + 9. Factor 3 + 0 + h**2 - 4 + u + 3*h.
(h + 1)*(h + 2)
Factor 4/13*q**3 + 2/13*q**4 + 2/13*q**2 + 0 + 0*q.
2*q**2*(q + 1)**2/13
Let -3*a**3 - 36/5*a**2 + 0 - 12/5*a = 0. Calculate a.
-2, -2/5, 0
Let r(d) be the first derivative of d**7/105 - d**6/60 - d**5/30 + d**4/12 - 2*d**2 - 3. Let g(t) be the second derivative of r(t). Factor g(z).
2*z*(z - 1)**2*(z + 1)
Let q be 2/(-3)*(-39)/2. Suppose 5*o + 5*z = 25, 3*o + 0*z - q = -2*z. Let -4/5*v**o - 2/5*v**2 + 0*v - 2/5*v**4 + 0 = 0. What is v?
-1, 0
Factor 0*j - 2/7*j**3 - 2/7*j**4 + 4/7*j**2 + 0.
-2*j**2*(j - 1)*(j + 2)/7
Let s = 26 + -14. Factor -s - 2*v**2 + 2*v + 11*v - v**2 - v.
-3*(v - 2)**2
Suppose -18*g + 5*g - 6*g = 0. Solve -3/2*d**2 + g*d + 0 = 0.
0
Suppose -9 = -3*x - 0. Suppose -2*q - 11 + 2 = -3*b, -b + 3 = -x*q. Solve -16/3*c - 10*c**2 + 16/3*c**b - 2/3 + 32/3*c**4 = 0.
-1, -1/4, 1
Let 4/11*c**3 - 2/11 + 0*c + 6/11*c**2 = 0. Calculate c.
-1, 1/2
Let w(g) be the third derivative of g**7/210 - g**6/120 - g**5/15 + g**4/6 + 12*g**2. Let w(u) = 0. What is u?
-2, 0, 1, 2
Suppose 0*y + 2 = y. Factor 0*q**2 - y*q**2 - 24*q**3 + 8*q**2 + 6*q**2 - 15*q**4.
-3*q**2*(q + 2)*(5*q - 2)
Let b(t) be the first derivative of -1/10*t**5 - 1/30*t**6 + 0*t**2 + 3 - 1/12*t**4 - 3*t + 0*t**3. Let z(d) be the first derivative of b(d). Factor z(y).
-y**2*(y + 1)**2
Let a(p) be the first derivative of 2*p**3/45 - 1. Factor a(h).
2*h**2/15
Factor h**2 - 3*h + 0*h + 3*h**5 + 0*h**2 + 6*h**4 - 7*h**2.
3*h*(h - 1)*(h + 1)**3
Let v(q) be the second derivative of q**5/100 + q**4/60 + 4*q. Factor v(k).
k**2*(k + 1)/5
Let l(y) = -4*y**4 - 6*y**3 - 2*y**2 + 12*y + 12. Let g(r) = -r**4 - 2*r**3 - r**2 + 4*r + 4. Let q(j) = -7*g(j) + 2*l(j). Let q(b) = 0. What is b?
-1, 2
Let k = 9 + -9. Let d(x) be the second derivative of 1/9*x**4 - 1/3*x**2 - 1/45*x**6 - 1/63*x**7 + 1/15*x**5 - 2*x + k - 1/9*x**3. Factor d(a).
-2*(a - 1)**2*(a + 1)**3/3
Let y be 2/12 + (-34)/(-12). What is v in -3*v**3 - v**2 - v**3 - 8*v + y*v**4 + 10*v = 0?
-2/3, 0, 1
Let v(r) be the first derivative of -r**6/35 - r**5/35 + r**4/42 + 3*r - 2. Let g(k) be the first derivative of v(k). Factor g(l).
-2*l**2*(l + 1)*(3*l - 1)/7
What is l in 0 + 3/7*l**3 + 5/7*l**2 - 4/7*l**5 - 5/7*l**4 + 1/7*l = 0?
-1, -1/4, 0, 1
Let o(g) be the second derivative of 2*g + 1/165*g**6 + 0 + 0*g**2 + 1/110*g**5 + 0*g**3 - 1/231*g**7 - 1/66*g**4. Factor o(s).
-2*s**2*(s - 1)**2*(s + 1)/11
Let p(n) be the third derivative of -1/40*n**6 + 0*n**3 + 0*n + 0 - 1/8*n**4 + 6*n**2 + 1/10*n**5. Factor p(x).
-3*x*(x - 1)**2
Solve 2*c**3 + 6 + 16*c - 22*c - 2 = 0 for c.
-2, 1
Let f = 67 + -327/5. Find y such that 8/5*y - 2/5 + f*y**3 - 2/5*y**4 - 12/5*y**2 = 0.
1
Let w(l) be the first derivative of 0*l + 3/4*l**4 + l**3 + 0*l**2 + 4. Solve w(s) = 0.
-1, 0
What is w in 0*w + 2/9*w**4 + 0*w**3 - 2/9*w**2 + 0 = 0?
-1, 0, 1
Let 3*t**3 - 12/7 + 3/7*t**5 - 3/7*t**2 - 24/7*t + 15/7*t**4 = 0. What is t?
-2, -1, 1
Let i(c) be the third derivative of -c**7/1260 - 7*c**6/180 - 49*c**5/60 - 343*c**4/36 - 2401*c**3/36 + 3*c**2. Factor i(y).
-(y + 7)**4/6
Suppose -3 = 2*f + m, -5*m + 0*m = 3*f + 15. Determine l, given that -10/7*l**2 + f - 2/7*l - 6/7*l**3 + 18/7*l**4 = 0.
-1/3, 0, 1
Let l = 4/85 - -142/595. Let j be (-2)/(-8) + (-2)/(-56). Factor j + l*b**3 + 6/7*b**2 + 6/7*b.
2*(b + 1)**3/7
Let v(a) be the second derivative of 1/9*a**3 - 1/36*a**4 - 1/6*a**2 + 0 + 3*a. Factor v(m).
-(m - 1)**2/3
Let l(f) be the third derivative of f**6/360 + f**5/90 - f**4/72 - f**3/9 - 8*f**2. Find w such that l(w) = 0.
-2, -1, 1
Let k(b) be the second derivative of b**7/175 + b**6/150 - b**5/150 + 3*b**2 - 3*b. Let r(z) be the first derivative of k(z). Factor r(h).
2*h**2*(h + 1)*(3*h - 1)/5
Let a(u) = u**2 - u + 4. Let b(o) = -2*o**2 + 2*o - 11. Let c(q) = 11*a(q) + 4*b(q). Factor c(k).
3*k*(k - 1)
Suppose -b = 5*z - 13, -3*b - 9 = z - 2*z. Let 120*a + z*a**3 - 39*a + 44 + 13*a**2 + 37 + 14*a**2 = 0. What is a?
-3
Let s(v) be the first derivative of -v**6/600 + v**4/40 - 2*v**3 + 6. Let g(t) be the third derivative of s(t). Factor g(r).
-3*(r - 1)*(r + 1)/5
Let g(u) be the first derivative of -u**3 - 6*u**2 + 31. Factor g(s).
-3*s*(s + 4)
Let z(y) be the first derivative of 0*y - y**2 + 3 - 1/2*y**4 - 4/3*y**3. Factor z(o).
-2*o*(o + 1)**2
Let t(a) be the first derivative of 2*a**3/3 + a**2 + 5. Let t(p) = 0. What is p?
-1, 0
Let m(j) be the third derivative of j**8/2016 - j**7/420 - j**6/120 + j**5/36 + 7*j**4/48 + j**3/4 + 15*j**2. Factor m(n).
(n - 3)**2*(n + 1)**3/6
Suppose 3 = 3*r - 6. Suppose 3*y + 8 = 5*o - o, -o + 2 = 3*y. Solve 1/2*z**r + 0*z**2 + 0 - 1/4*z**5 - 1/4*z + y*z**4 = 0.
-1, 0, 1
Let c(g) = -g**3 + 7*g**2 + 10*g - 10. Let o be c(8). Let i be (-2 + o)/(4/4). Find t such that 1/3*t - 1/3*t**2 - 1/3*t**3 + 0 + 1/3*t**i = 0.
-1, 0, 1
Suppose 2*t - 2 = 2. Let 2 - 5 - 2*y**t + 5*y**2 = 0. Calculate y.
-1, 1
Factor 0*h + 0 + 6/11*h**3 + 4/11*h**2 + 2/11*h**4.
2*h**2*(h + 1)*(h + 2)/11
Let a(z) = 2*z**2 - 2*z. Let d(i) = 4*i**2 - 4*i. Let x = 3 + -9. Let o(q) = x*d(q) + 11*a(q). Let o(j) = 0. What is j?
0, 1
Let r(s) = 21*s**3 + 21*s**2 - 39*s - 57. Let d(q) = -5*q**3 - 5*q**2 + 10*q + 14. Let h(t) = -9*d(t) - 2*r(t). Determine m, given that h(m) = 0.
-2, -1, 2
Determine i, given that 1/8*i**4 - 1/2 - i - 3/8*i**2 + 1/4*i**3 = 0.
-2, -1, 2
Let a(n) be the first derivative of 4/3*n**4 - 5 - 4/5*n**5 + 8/9*n**3 + 4/3*n - 8/3*n**2. Suppose a(h) = 0. Calculate h.
-1, 1/3, 1
Let b = 38 - 71. Let k be b/(-35) - 9/(-45). Determine j, given that k*j + 2/7*j**2 + 8/7 = 0.
-2
Let m(a) be the first derivative of -2*a**3/15 + 3*a**2/5 - 4*a/5 - 7. Factor m(d).
-2*(d - 2)*(d - 1)/5
Let s(m) = m**2 - m - 1. Let b(o) = 45*o**2 - 10. Let u(r) = -b(r) + 10*s(r). Factor u(t).
-5*t*(7*t + 2)
Let y(a) be the second derivative of -a**5/20 + 4*a**4/27 - 5*a**3/54 - a**2/9 - 7*a. Factor y(x).
-(x - 1)**2*(9*x + 2)/9
Factor 6/7 + 15/7*x**2 + 3*x.
3*(x + 1)*(5*x + 2)/7
Let k(r) be the third derivative of 0*r**3 + 0 - 1/720*r**6 - 6*r**2 + 0*r**5 + 0*r + 0*r**7 + 1/2016*r**8 + 0*r**4. Determine p so that k(p) = 0.
-1, 0, 1
Let v be (-5)/20*2 - 4/(-6). Let b(l) be the first derivative of -4 + l**2 + v*l**4 - 2/3*l**3 - 2/3*l. Let b(x) = 0. Calculate x.
1
Let t(a) be the second derivative of a**6/40 + a**5/8 + 3*a**4/16 + a**3/12 - 32*a - 1. Determine g so that t(g) = 0.
-2, -1, -1/3, 0
Let q(i) b