/(-4)). What is b in 2/5 - 4/5*b + 2/5*b**g = 0?
1
Let c(s) be the second derivative of s**5/20 - 5*s**4/12 + 4*s**3/3 - 2*s**2 - 77*s. Factor c(t).
(t - 2)**2*(t - 1)
Let k(q) = 6*q + 38. Let t be k(-5). Let y be ((8/3)/t)/((-2)/(-2)). What is x in -1/6*x**3 + 0*x**2 - y + 1/2*x = 0?
-2, 1
Let y(u) be the second derivative of u**5/20 + 29*u**4/4 + 841*u**3/2 + 24389*u**2/2 - 133*u. Factor y(m).
(m + 29)**3
Let i(v) be the second derivative of 22*v - 1/4*v**3 - 9/4*v**2 + 0 - 1/96*v**4. Factor i(m).
-(m + 6)**2/8
Let r(i) be the first derivative of 2*i**3/9 - 31*i**2/3 - 396. Determine w so that r(w) = 0.
0, 31
Let p be (7 + -6)*(4 + -1). Solve -4/3*i + 4/3*i**2 + 0 + i**p = 0.
-2, 0, 2/3
Let p(i) be the first derivative of 11/4*i**4 + 0*i - 7 + 16/5*i**5 + 0*i**2 + 2/3*i**3 + 7/6*i**6. Determine v so that p(v) = 0.
-1, -2/7, 0
Suppose 27 = 3*b - 0. Factor -u + 2*u + 2*u - b*u + 7*u**2 - u**3.
-u*(u - 6)*(u - 1)
Suppose 369*o = 359*o + 80. Let g(t) be the second derivative of 4/3*t**3 + 0 + 1/12*t**4 + o*t**2 + 3*t. Factor g(u).
(u + 4)**2
Let x(d) = d**4 - 8*d**3 - 9*d**2 + 3*d. Let t(r) = -r**4 + 9*r**3 + 10*r**2 - 4*r. Let j = 79 - 83. Let i(k) = j*x(k) - 3*t(k). Factor i(w).
-w**2*(w - 6)*(w + 1)
Let d(q) be the second derivative of -q**8/5040 - q**7/630 - q**6/360 + 2*q**3/3 - 4*q. Let t(z) be the second derivative of d(z). Factor t(s).
-s**2*(s + 1)*(s + 3)/3
Let s be 0*((-10)/15)/(72/27). Let g(l) be the third derivative of -1/160*l**6 + s*l**5 + 3/32*l**4 - 1/4*l**3 + 5*l**2 + 0*l + 0. Find c such that g(c) = 0.
-2, 1
Let g be 34/11 + (-2)/(-5 + 27). Suppose 8/11*x**4 + 2/11*x**5 - 8/11*x**2 + 0 + 6/11*x**g - 8/11*x = 0. What is x?
-2, -1, 0, 1
Let h(q) = 8*q**2 + 37*q + 32. Suppose -8*o - 21 = -15*o. Let r(k) = 9*k**2 + 36*k + 31. Let d(w) = o*r(w) - 4*h(w). Suppose d(c) = 0. What is c?
-7, -1
Let f(p) be the second derivative of p**7/21 + 7*p**6/15 - 27*p**5/10 + 29*p**4/6 - 10*p**3/3 - 86*p. Factor f(k).
2*k*(k - 1)**3*(k + 10)
Factor 2*q**2 - 9/2*q + 1/2*q**3 + 9/4 - 1/4*q**4.
-(q - 3)*(q - 1)**2*(q + 3)/4
Let l(x) be the first derivative of -1/32*x**4 + 1/120*x**5 - 3*x**2 - 1/12*x**3 + 0*x + 1/160*x**6 + 8. Let a(r) be the second derivative of l(r). Factor a(i).
(i - 1)*(i + 1)*(3*i + 2)/4
Suppose 3*r + 9 = l, -1 + 2 = r. Factor -17*a - 3*a**3 + l*a + 8*a.
-3*a*(a - 1)*(a + 1)
Let u(w) = w - 2. Let y be u(1). Let j be y - -13 - (5 - 6). Find l, given that 2*l**5 + j*l**3 - l**5 - 7*l**4 - 4*l**4 - 12*l**2 + 4*l + 5*l**4 = 0.
0, 1, 2
Let i(a) be the second derivative of a**4/12 - 53*a**3/6 + 2*a - 46. Factor i(l).
l*(l - 53)
Let s(b) be the first derivative of -3*b**4/16 + b**3 + 9*b**2/8 - 27*b/2 + 77. What is o in s(o) = 0?
-2, 3
Let o(t) be the second derivative of t**5/8 + 55*t**4/24 + 175*t**3/12 + 125*t**2/4 + 9*t + 2. Factor o(z).
5*(z + 1)*(z + 5)**2/2
Let x be 1*2 - (-6)/(-4). Suppose 0 = 16*w + 602 - 650. Factor -p + x*p**4 + 5/2*p**2 + 0 - 2*p**w.
p*(p - 2)*(p - 1)**2/2
Factor -2/3*u**2 - 8/9*u**3 - 4/3 + 50/9*u.
-2*(u - 2)*(u + 3)*(4*u - 1)/9
Let i(q) = 2*q**3 + 6*q**2 + 5*q + 1. Let o(d) = -d**3 - 2*d**2 - 2*d - 1. Let w(a) = -3*i(a) - 7*o(a). Let w(t) = 0. What is t?
-1, 1, 4
Let t(h) be the second derivative of -h**6/30 - 3*h**5/2 - 157*h**4/12 + 170*h**3 - 578*h**2 + 499*h - 1. Factor t(x).
-(x - 2)**2*(x + 17)**2
Let q(g) = -15*g**3 - 6*g**2 - 4*g. Suppose -20 + 100 = -4*r. Let v = r - -3. Let d(h) = -44*h**3 - 19*h**2 - 12*h. Let k(i) = v*q(i) + 6*d(i). Factor k(a).
-a*(3*a + 2)**2
Let z(p) be the first derivative of p**5/60 - 5*p**4/48 - 25*p**3/36 + 5*p**2/24 + 2*p - 447. Determine u so that z(u) = 0.
-3, -1, 1, 8
Factor -3*t**3 + 165*t + 2*t**3 - t**3 - 24*t**2 - 369 + 127 + 3*t**3.
(t - 11)**2*(t - 2)
Factor 1/6*r**3 + 0*r + 2/3 - 1/2*r**2.
(r - 2)**2*(r + 1)/6
Let 75*f**2 - 12*f**2 + 28*f - 7*f**2 - 67 + 27 - 12*f**3 = 0. Calculate f.
-1, 2/3, 5
Let a(z) = -17*z**2 - 2*z + 15. Let n(w) = 27*w**2 + 4*w - 23. Let j(s) = 8*a(s) + 5*n(s). Factor j(d).
-(d - 5)*(d + 1)
Suppose -48*p = 14*p - 186. Factor 0 + 0*d - 3/2*d**2 + 1/2*d**p.
d**2*(d - 3)/2
What is q in -8/3*q**4 + 14*q**2 + 76/3*q + 16/3 - 26/3*q**3 = 0?
-4, -1, -1/4, 2
Suppose 4*h + 1 = -15. Let t be -5*h/40 - 3/14. Factor -2/7 - t*b**2 + 4/7*b.
-2*(b - 1)**2/7
Suppose -2*s - 3*d = 11, 2*d + 9 = -3*s - d. Factor -a**3 - 278 - a**s + a + 143 + 136.
-(a - 1)*(a + 1)**2
Factor -24/5 + 36/5*q + 3/5*q**3 - 18/5*q**2.
3*(q - 2)**3/5
Let a(d) be the second derivative of 1/2*d**3 + 1/20*d**5 + 0 - 5/12*d**4 + 9/2*d**2 - 8*d. Suppose a(s) = 0. Calculate s.
-1, 3
Let a(c) be the third derivative of c**8/672 - c**7/180 + c**6/180 - 7*c**4/12 + 19*c**2. Let t(z) be the second derivative of a(z). Factor t(l).
2*l*(l - 1)*(5*l - 2)
Suppose d = 8 - 3. What is f in 136*f**2 - 3 - d*f**3 + 17*f**3 - 163*f**2 + 18*f = 0?
1/4, 1
Determine s so that -66/5 + 2/5*s**3 - 62/5*s**2 - 26*s = 0.
-1, 33
Let n be (7 + -7)/(4 - 3). Suppose 2*g = 4*g - n*g. Factor g - 4/3*k - 2/3*k**2.
-2*k*(k + 2)/3
Let k(y) be the third derivative of -y**5/540 - y**4/24 - 7*y**3/27 - 5*y**2 + 12*y. Factor k(a).
-(a + 2)*(a + 7)/9
Let z(a) be the third derivative of -a**7/1155 + 7*a**6/660 + 3*a**5/22 - 7*a**4/132 - 4*a**3/3 + 631*a**2. Solve z(u) = 0.
-4, -1, 1, 11
Let x = 288 - 288. Factor x + 2/9*o + 2/9*o**2.
2*o*(o + 1)/9
Find k such that 1/3*k**2 + 0 + 16/3*k = 0.
-16, 0
Let l(r) be the first derivative of 3/10*r**4 + 2/15*r**3 + 8/5*r - 8/5*r**2 - 29. Determine t, given that l(t) = 0.
-2, 2/3, 1
Determine m so that 4*m**5 + 24/5*m**2 + 0 - 78/5*m**4 - 16/5*m + 68/5*m**3 = 0.
-1/2, 0, 2/5, 2
Suppose -3*a - 2*v + 22 = 1, 5*v = 15. Suppose 17*i - 12 = a. Determine c so that c - 1/4*c**3 - i + 1/4*c**2 = 0.
-2, 1, 2
Let u(b) be the third derivative of b**7/504 - 5*b**6/36 + 25*b**5/6 - 17*b**4/12 + 48*b**2. Let t(w) be the second derivative of u(w). Factor t(z).
5*(z - 10)**2
Let f(b) be the third derivative of -b**6/420 + 31*b**5/210 + 46*b**2 + 2*b. Solve f(i) = 0.
0, 31
Let z(s) be the second derivative of -2/3*s**3 - s + s**2 + 0 + 1/6*s**4. Determine p so that z(p) = 0.
1
Let d be (-6 - -2) + 18/(3 - 1). Let k(s) be the first derivative of 3 + s**3 + 2*s**4 - s**2 + 0*s + 3/5*s**d. Factor k(h).
h*(h + 1)*(h + 2)*(3*h - 1)
Let a = 0 - -1. Suppose 6*y = 3*w + 2*y - 25, 0 = -3*w - 2*y + a. Factor 12 - 2*q - 2*q**2 + 0*q**3 + q**w - 4 - 2*q.
(q - 2)**2*(q + 2)
Let w(b) be the third derivative of 0*b**4 + 1/5*b**6 + 0*b**3 + 6/35*b**7 + 0 + 1/21*b**8 + 0*b + 1/15*b**5 + b**2. Factor w(c).
4*c**2*(c + 1)**2*(4*c + 1)
Suppose -13 = -9*n - 4*n. Let c(q) be the first derivative of -2*q**3 - 3/2*q**2 - n + 3*q. Solve c(a) = 0 for a.
-1, 1/2
Let h be (-6)/((-4)/(-14) + 64/(-28)). What is z in 53*z**2 - 2*z - 20*z**h - 41*z**2 + 6*z + 4*z = 0?
-2/5, 0, 1
Let a be 150/(-20)*(-2)/5. Factor 20*d**3 - 4*d**4 + 17*d**3 + 0*d**4 - 41*d**a.
-4*d**3*(d + 1)
Let y be 4/(-3) - (16/24 + -8). Let x(c) be the third derivative of 0 + 0*c + 1/60*c**y + 0*c**3 - 1/15*c**5 + 0*c**4 - 5*c**2. Factor x(s).
2*s**2*(s - 2)
Let x(y) be the first derivative of -y**3/12 - 7*y**2/8 - 160. Factor x(r).
-r*(r + 7)/4
Let b(w) be the third derivative of -w**7/42 + 7*w**5/12 + 5*w**4/4 + 92*w**2. Factor b(o).
-5*o*(o - 3)*(o + 1)*(o + 2)
Let v = -6 + -34. Let y be ((-12)/v)/(((-21)/(-162))/7). Factor 36/5*k**3 - 64/5*k + 27/5*k**5 + 16/5 - y*k**4 + 64/5*k**2.
(k - 2)*(k + 1)*(3*k - 2)**3/5
Let l(t) be the second derivative of -t**7/3024 - t**6/144 - t**5/16 + 4*t**4/3 + 6*t. Let r(a) be the third derivative of l(a). Factor r(n).
-5*(n + 3)**2/6
Let h(a) be the first derivative of a**3 - 12*a**2 + 18*a + 26. Let i(w) = -w**2 + 7*w - 5. Let g(u) = -5*h(u) - 18*i(u). Let g(c) = 0. Calculate c.
0, 2
Let t(z) = z**5 - 2*z**4 + z**3 + 5*z**2 - 10*z - 1. Let c(m) = 2*m**5 - 4*m**4 + m**3 + 11*m**2 - 19*m - 1. Let h(k) = 3*c(k) - 5*t(k). Factor h(x).
(x - 1)**4*(x + 2)
Let k(g) be the first derivative of -g**6/27 + 2*g**5/15 + 5*g**4/18 - 2*g**3/9 - 4*g**2/9 + 59. Suppose k(t) = 0. What is t?
-1, 0, 1, 4
Let t(w) = -w**3 + 4*w + 3. Let z be t(-1). Let f(u) be the third derivative of 4*u**2 - 8/3*u**3 + 3*u**5 - u**4 + 0*u + z + 35/12*u**6. Factor f(h).
2*(5*h + 2)**2*(7*h - 2)
Let a = 460 - 178. Factor -a*y**4 + 286*y**4 + 0*y**5 - 4*