 + 0 - 1/3*a - a**m - a**3 = 0?
-1, 0
Let a = 13 + -9. Suppose 0 = -0*n - a*n + 12. Factor -5*o**4 - 5 - 3 - 2 - 7*o**3 + 5*o + 15*o**2 + 2*o**n.
-5*(o - 1)**2*(o + 1)*(o + 2)
What is b in 1/2*b**3 - 3/2*b**2 + 0 + 0*b = 0?
0, 3
Let r(m) be the third derivative of m**6/8 - 29*m**5/12 - 215*m**4/24 - 55*m**3/6 + m**2 - 6. Determine i so that r(i) = 0.
-1, -1/3, 11
Suppose 4*k - 3*x - 28 = -2*x, 5*k - 46 = 4*x. Let r = -4 + k. Factor -5*p**r + 3*p**2 - p**2 - 3*p**3.
-3*p**2*(p + 1)
Let w be (-184)/10 + 6/15. Let d be (9/w)/((-2)/8). Factor 5*b**3 - 2*b**3 + 4*b**2 + 2*b**3 - 5 + b**d - 5*b.
5*(b - 1)*(b + 1)**2
Let w(m) be the third derivative of -m**7/315 - 31*m**6/180 - 253*m**5/90 - 55*m**4/12 + 50*m**3 + m**2 - 212. Find o, given that w(o) = 0.
-15, -2, 1
Let t = 26934 - 26932. Factor 21/5*s**3 + 12*s + 24/5 + 3/5*s**4 + 54/5*s**t.
3*(s + 1)*(s + 2)**3/5
Suppose -5*a + b = -32, 2*b - 1 = a - 20. Let -4/5 + 32/5*z**4 - 8/5*z**a + 2*z + 8/5*z**2 - 38/5*z**3 = 0. Calculate z.
-1/2, 1/2, 1, 2
Let m = 11043/2 + -5519. Solve -5 + m*i**2 + 5/2*i = 0.
-2, 1
Let d(o) = o**2 - 58*o - 118. Let s be d(-2). Let f(b) be the second derivative of -1/3*b**4 + 0*b**s + 0 - 1/3*b**3 + 2*b - 1/10*b**5. Factor f(n).
-2*n*(n + 1)**2
Suppose 0 = -6*a + 228 + 84. Suppose -k - a = -3*k. Factor c**4 - 6 - k*c**2 + 15*c + 17*c**2 - 3*c**3 + 2*c**4.
3*(c - 1)**3*(c + 2)
Let k be -2 + -3 - (-12 - -3). Suppose -14*g**3 + 12*g**k - 36*g**3 - 49*g**3 - 279*g + 276*g**2 + 54 = 0. Calculate g.
1/4, 2, 3
Suppose 0 = 3*f - 24 - 9. Find o such that -f + 39*o - 1 - 15*o**2 + 6*o**2 = 0.
1/3, 4
Let k(p) be the second derivative of 3*p**5/80 + 19*p**4/16 + 8*p**3 + 45*p**2/2 - 683*p. Factor k(n).
3*(n + 2)**2*(n + 15)/4
Let z(h) be the first derivative of -2*h**3/21 - 162*h**2/7 - 13122*h/7 + 79. Factor z(c).
-2*(c + 81)**2/7
Let c(a) be the second derivative of 2*a**6/15 + 17*a**5/5 + 15*a**4 + 86*a**3/3 + 28*a**2 - 50*a. Let c(m) = 0. What is m?
-14, -1
Let g(k) = -k**3 + 7*k**2 + 13*k - 12. Let y be g(8). Factor 4*p + 11*p + 2*p + 48*p**2 - y*p**3 - p.
-4*p*(p - 2)*(7*p + 2)
Let p(g) be the first derivative of -5*g**6/6 + 2*g**5 + 355*g**4/4 + 100*g**3/3 - 3640*g**2 - 15680*g + 274. Suppose p(j) = 0. What is j?
-4, 7
Suppose -190*s - 6*s**2 - 236*s + 44 + 2*s**4 + 544*s - 180*s + 22*s**3 = 0. What is s?
-11, -2, 1
Let -31/6 + 1/6*j**2 + 5*j = 0. Calculate j.
-31, 1
Let c(x) be the second derivative of 2*x - 1/96*x**4 - 25/16*x**2 + 0 + 5/24*x**3. What is a in c(a) = 0?
5
Let c(g) be the third derivative of 1/120*g**6 + 0*g**3 + 0*g**4 + 0 + 0*g - 1/30*g**5 + 1/105*g**7 + 15*g**2 - 1/336*g**8. Suppose c(t) = 0. What is t?
-1, 0, 1, 2
Let f(q) be the third derivative of 0 - 8*q**2 - 28/45*q**5 + 100/9*q**3 + 0*q + 1/30*q**6 + 55/18*q**4. Determine a so that f(a) = 0.
-2/3, 5
Let r(m) be the third derivative of m**6/240 - 83*m**5/120 - 169*m**4/48 - 85*m**3/12 - 6*m**2 - 60*m. Factor r(l).
(l - 85)*(l + 1)**2/2
Factor 10/11*d**3 + 0 - 18/11*d**2 - 4/11*d.
2*d*(d - 2)*(5*d + 1)/11
Determine h, given that 340*h - 43*h**2 + 85*h**2 - 200 - 129*h**2 + 55*h**3 - 5*h**4 - 123*h**2 = 0.
2, 5
Let n(b) = b - b - 8 + 2*b. Let s be n(5). Suppose 6/7*y**4 + 0*y + 0 + 2/7*y**3 + 0*y**s + 4/7*y**5 = 0. What is y?
-1, -1/2, 0
Let z be (51/(-9) - -3)/(2/(-9)). Suppose 60*m = 66*m - z. Factor -3/4 + 3/4*a**m + 0*a.
3*(a - 1)*(a + 1)/4
Let k = -214 - -217. Let z = 181/60 + -7/20. Factor 0*l**2 - 4/3*l**k + z + 4*l.
-4*(l - 2)*(l + 1)**2/3
Let a(q) = 14*q**4 - 25*q**3 - 144*q**2 + 161*q + 164. Let j(k) = -5*k**4 + 8*k**3 + 48*k**2 - 56*k - 55. Let c(t) = 6*a(t) + 17*j(t). Factor c(z).
-(z - 1)*(z + 1)*(z + 7)**2
Let 7*b + 1/3*b**4 - 7*b**3 - 38/3 + 37/3*b**2 = 0. Calculate b.
-1, 1, 2, 19
Let c(y) = -y**3 - 8*y**2 + 8*y - 6. Let x = 1 + -10. Let s be c(x). Factor -3*j**2 + 0 - 3*j - 3 + s.
-3*j*(j + 1)
Let c be 9*1*270/945. Factor 3/7*m**2 + 15/7 + c*m.
3*(m + 1)*(m + 5)/7
Let l = 273 - 271. Let q(d) be the second derivative of -1/6*d**4 - 2/3*d**3 + 4*d + 0 + 0*d**l. Factor q(p).
-2*p*(p + 2)
Let i be (36/48)/(5/40) + (-11)/2. Determine v, given that 0 + 4*v - v**3 - i*v**4 + 2*v**2 = 0.
-2, 0, 2
Let r(x) be the second derivative of x**4/8 - 3*x**3 - 121*x. Factor r(n).
3*n*(n - 12)/2
Suppose 42*f + 3*f - 225 = 0. Factor 0*l**4 + 2/3 - 1/3*l**f + 4/3*l**3 - 2/3*l**2 - l.
-(l - 1)**3*(l + 1)*(l + 2)/3
Let v(m) be the second derivative of m**5/80 - m**3/8 - m**2/4 - m + 123. Factor v(i).
(i - 2)*(i + 1)**2/4
Let h(k) be the third derivative of -1/70*k**7 + 11/8*k**4 + 0*k + 19*k**2 + 1/40*k**6 + 0 + 9/20*k**5 + 2*k**3. Suppose h(u) = 0. Calculate u.
-1, 4
Let h(l) = -16*l**2 - 2*l - 3. Let f be h(-2). Let w be (-12)/14*f/18. Find u, given that -15*u**2 - w*u**3 + u - 5*u**4 - 6*u - 8*u**3 - 4*u**3 = 0.
-1, 0
Let a be (20/40)/(2/10)*2. Let 12/5*l**4 + 18/5*l**3 + 8/5*l**2 + 0 + 2/5*l**a + 0*l = 0. What is l?
-4, -1, 0
Let v(i) be the third derivative of i**6/90 - i**5/5 - 5*i**4/9 + 2*i**2 + 92. Factor v(l).
4*l*(l - 10)*(l + 1)/3
Let l(h) = -h**2 + h - 1. Let y(f) = f**4 + 2*f**3 + 5*f**2 - 11*f + 12. Let q(c) = 18*l(c) + 2*y(c). Find u such that q(u) = 0.
-3, -1, 1
Suppose 0 = 11*j + 276 + 32. Let v be (j/147)/((-6)/21). Solve -2/3 + 4/3*r - v*r**2 = 0 for r.
1
Let x = -13 - -17. Factor -2*m**2 - 8*m**2 - m**x + 3*m**3 + 8*m**2.
-m**2*(m - 2)*(m - 1)
Let v(m) = -2*m**4 + 3*m**3 - 15*m**2 - 3*m + 6. Let q(k) = 3*k**4 - 6*k**3 + 31*k**2 + 5*k - 10. Let u(c) = -3*q(c) - 5*v(c). Factor u(b).
b**2*(b - 3)*(b + 6)
Let d = -5041/4 + 1261. Find a such that -3*a**2 + d*a**4 + 9/4 + 3/2*a**3 - 3/2*a = 0.
-3, -1, 1
Factor -41067/2*o - 1/2*o**3 + 351/2*o**2 + 1601613/2.
-(o - 117)**3/2
Let l(a) = a**2 - 2*a + 2. Let c be l(3). Let s = -2 + c. Suppose 5*u**2 - 4*u**s - 2*u + 6*u**3 - 3*u**4 - 5*u**4 + 3*u**4 = 0. What is u?
-1, 0, 2/5, 1
Find v such that 8*v**2 + 5*v**3 + 0*v - 2*v**2 - 7 - 20*v - 33 + 4*v**2 = 0.
-2, 2
Suppose 3*s - 8 = 7*s - 4*n, 0 = -5*n + 25. Let r(u) be the first derivative of 4 + 2/33*u**s + 2/11*u - 2/11*u**2. Factor r(a).
2*(a - 1)**2/11
Let h = 9101/12124 + -2/3031. Find k such that 0 + 3/4*k**5 + 1/2*k - 9/4*k**3 - 1/4*k**4 - h*k**2 = 0.
-1, 0, 1/3, 2
Let d(y) be the first derivative of y**6/18 - 9*y**5/5 - y**4/2 + 154*y**3/9 + 71*y**2/2 + 27*y + 1078. Factor d(w).
(w - 27)*(w - 3)*(w + 1)**3/3
Let f be 0/(-3 - 6 - -6). Let q(y) be the second derivative of -1/20*y**5 + f + 9*y - 5/12*y**4 - 3/2*y**2 - 7/6*y**3. Factor q(w).
-(w + 1)**2*(w + 3)
Let u(g) be the second derivative of 13*g + 0 + 1/18*g**3 - 1/36*g**4 + 1/3*g**2. Let u(i) = 0. Calculate i.
-1, 2
Let m = -71 - -80. Factor m*q - 4*q**2 - 8*q**3 - 9*q - 4*q**4.
-4*q**2*(q + 1)**2
Factor -6*l**2 - 805 - 3*l + 811 - 4*l**3 + 7*l**3.
3*(l - 2)*(l - 1)*(l + 1)
Let r(h) be the second derivative of 0 + 1/5*h**3 - 2/5*h**2 + 0*h**4 - 10*h - 1/50*h**5. Solve r(y) = 0 for y.
-2, 1
Let d be (-37)/(2/4*-1). Determine j so that 32*j + 54*j**5 - d*j**4 - 86*j**3 + 44*j**2 - 6*j**2 + 44*j**4 - 8 = 0.
-1, -2/3, 2/9, 1
Let h be ((-1)/8*-2)/(1/2372). Solve -20*b**3 + 6*b**4 + 15*b**2 - h*b + 589*b + 3*b**3 = 0.
0, 1/2, 1, 4/3
Let g(p) be the second derivative of -p**7/525 + p**6/75 - 2*p**5/75 + 13*p**2/2 - 10*p. Let j(w) be the first derivative of g(w). Solve j(t) = 0 for t.
0, 2
Let x = -629 - -632. Let g(f) be the first derivative of 3 + 0*f + f**x + 3/2*f**2. Factor g(i).
3*i*(i + 1)
Factor 16/5*w**2 - 4/5*w**4 + 16/5*w - 4/5*w**3 + 0.
-4*w*(w - 2)*(w + 1)*(w + 2)/5
Suppose 8*d - 3*d - 14 = 2*r, 2*d = -r + 11. Factor 8*h - 3 - d*h**3 + 78*h**2 - 74*h**2 + 3.
-4*h*(h - 2)*(h + 1)
Let s(l) be the first derivative of -2*l - 5 - 1/9*l**3 + 1/30*l**5 + 0*l**4 + 0*l**2. Let g(m) be the first derivative of s(m). Solve g(c) = 0 for c.
-1, 0, 1
Factor 1/4*x**3 - 1/2*x + 0 - 1/4*x**2.
x*(x - 2)*(x + 1)/4
Suppose 0 = 2*m + 1 - 9. Let p(x) be the second derivative of 0 + 0*x**2 + 1/180*x**6 - x - 1/120*x**5 + 0*x**m + 0*x**3. Factor p(t).
t**3*(t - 1)/6
Suppose -2/11*h**3 - 24/11*h + 8/11 - 6/11*h**4 + 2*h**2 + 2/11*h**5 = 0. Calculate h.
-2, 1, 2
Let n = 529/126 - 170/63. Factor -o**2 + 0 - n*o + 1/2*o**3.
o*(o - 3)*(o + 1)/2
Suppose -2*g = -2*n - 3*g - 4, -5*g = 5*n + 20. Let o = n - -2. Let 4*l**3 + 3*l**4 + 4*l**3 - 2*l**3 - 6*l - 2*l**o - l