*5 + 2/3*m**3 + 0 - m**2. Determine q so that k(q) = 0.
2
Let f(m) = 9*m**2 - 4*m - 2. Let l(g) = -5*g**2 + 2*g + 1. Let z(w) = -6*f(w) - 11*l(w). Determine y so that z(y) = 0.
-1
Let d be 5 - (-5)/(15/(-6)). Factor 3*a + 1 + 1 - 4*a**2 + d*a**2 - 2*a.
-(a - 2)*(a + 1)
Let b(z) be the first derivative of -5*z**4/4 + 5*z**2/2 - 5. Factor b(d).
-5*d*(d - 1)*(d + 1)
Let i be 99/440 - (-1 + (-12)/(-10)). Let h(r) be the second derivative of 5/36*r**4 - i*r**5 + 1/6*r**2 + 0 - 1/4*r**3 - 2*r. Suppose h(o) = 0. Calculate o.
1/3, 1, 2
Let m be 0*2/(6 + -4). Let d(f) be the second derivative of -1/60*f**4 + m - 1/30*f**3 + 0*f**2 + 3*f. Factor d(a).
-a*(a + 1)/5
Let -2 - 1210*f - 7*f**2 + 1201*f + 0 = 0. Calculate f.
-1, -2/7
Factor -16/9*r + 4/9*r**4 + 4/9*r**5 + 0 + 44/9*r**2 - 4*r**3.
4*r*(r - 1)**3*(r + 4)/9
Let q(s) = -17*s + 323. Let n be q(19). What is j in -3/2*j**2 + n + 1/2*j**3 + j = 0?
0, 1, 2
Let l(w) be the second derivative of -1/15*w**6 - 5*w + 11/45*w**3 + 1/90*w**4 + 2/15*w**2 - 23/150*w**5 + 0. Determine h so that l(h) = 0.
-1, -1/5, 2/3
Let l(a) be the third derivative of -a**7/420 + a**5/40 + a**4/24 + a**2. Factor l(d).
-d*(d - 2)*(d + 1)**2/2
Let o be 0 - 1 - 3*-1. Let c = 34/15 - 92/45. Factor -2/9*l - c*l**o + 2/9 + 2/9*l**3.
2*(l - 1)**2*(l + 1)/9
Let g = 7/15 + 431/105. Let -2*u**5 - 22/7*u**3 + 0 - g*u**4 - 4/7*u**2 + 0*u = 0. What is u?
-1, -2/7, 0
Let f be (-39)/(-154) - (-20)/(-110). Let c = f + 11/42. Factor 1/3*l - c*l**2 - 1/3*l**3 + 1/3.
-(l - 1)*(l + 1)**2/3
Let q(b) = b**2 - 9*b + 6. Let h be q(9). Suppose -2*l + h*l - 12 = 0. Factor -4*c**3 + 4*c**5 + 5*c**3 - 3*c**l - 2*c**5.
2*c**3*(c - 1)*(c + 1)
Let x(d) be the second derivative of 1/10*d**5 + 2*d + 0 - 1/5*d**6 + 0*d**2 + 5/18*d**4 + 1/9*d**3. Factor x(l).
-2*l*(l - 1)*(3*l + 1)**2/3
Suppose -1 = -3*z + g, z - 3*z + 2*g = 6. Let h be (-14)/(-35) - (-12)/10. Factor 26/5*j**z + 4/5 - 22/5*j - h*j**3.
-2*(j - 2)*(j - 1)*(4*j - 1)/5
Let o(f) be the second derivative of -f + 0*f**2 + 0*f**3 + 0 + 1/12*f**4 + 4/15*f**6 + 11/40*f**5 + 1/12*f**7. Factor o(n).
n**2*(n + 1)**2*(7*n + 2)/2
Let z(o) be the second derivative of -o**5 + 8*o**4/3 - 2*o**3/3 - 4*o**2 - 4*o. Find b, given that z(b) = 0.
-2/5, 1
Let o(s) be the third derivative of -2*s**2 + 0*s - 1/30*s**5 + 1/24*s**4 + 0 + 1/120*s**6 + 0*s**3. Suppose o(p) = 0. What is p?
0, 1
Let w be (4 + (-12)/2)/(-32). Let q(z) be the first derivative of -1/12*z**3 + 0*z**2 - 3 + 0*z - w*z**4. Factor q(k).
-k**2*(k + 1)/4
Let o(d) be the second derivative of 3*d + 21/20*d**5 - 5/4*d**4 + 1/2*d**3 - 3/10*d**6 + 0*d**2 + 0. Factor o(r).
-3*r*(r - 1)**2*(3*r - 1)
Factor -12/5*v + 6/5*v**2 - 27/5*v**4 - 3/5 + 36/5*v**3.
-3*(v - 1)**2*(3*v + 1)**2/5
Let q be (-1)/(((-10)/4)/5). Let t(i) be the second derivative of 0*i**2 - 1/20*i**5 + 1/6*i**3 + q*i + 0 - 1/12*i**4 + 1/30*i**6. Let t(l) = 0. What is l?
-1, 0, 1
Let v(s) be the first derivative of s**5/20 + s**4/12 - s**3/6 - s**2/2 - 2*s - 3. Let h(w) be the first derivative of v(w). Factor h(c).
(c - 1)*(c + 1)**2
Let h(p) be the third derivative of p**7/105 - p**6/30 + p**4/6 - p**3/3 + 6*p**2. Determine b so that h(b) = 0.
-1, 1
Let -1/2 + 1/2*j**2 - 1/6*j**3 + 1/6*j = 0. Calculate j.
-1, 1, 3
Let x(v) be the second derivative of 7*v**6/120 + v**5/5 + v**4/8 - v**3/3 - v**2 - 2*v. Let j(z) be the first derivative of x(z). Solve j(p) = 0 for p.
-1, 2/7
Let d(c) be the first derivative of -2*c**3/3 - c**2/3 + 4*c/3 - 2. Solve d(g) = 0 for g.
-1, 2/3
Let r(w) = w**2 + 1. Let g be r(-1). Factor -1 - g*c**2 + 1 - 2*c + 0.
-2*c*(c + 1)
Let z(r) = r + 3*r + 5*r - r - 5 - 7*r**2 - 2*r**3. Let f(v) = -v**3 - v**2 + v - 1. Let g(t) = -3*f(t) + z(t). Let g(b) = 0. What is b?
1, 2
Let o(p) be the third derivative of -p**7/1680 + p**6/160 + p**5/60 - p**4/32 - 7*p**3/48 + 30*p**2. Let o(f) = 0. Calculate f.
-1, 1, 7
Let j = -51 + 52. Let m(d) be the first derivative of -1/12*d**4 + 1/9*d**3 - 1/15*d**5 + 0*d**2 - j + 0*d + 1/18*d**6. Factor m(h).
h**2*(h - 1)**2*(h + 1)/3
Let n be 0 + 2/300*1. Let k(z) be the third derivative of 1/30*z**4 - 1/300*z**6 + 0 + 0*z**3 + 0*z - 2*z**2 - n*z**5. Factor k(b).
-2*b*(b - 1)*(b + 2)/5
Let c(u) be the first derivative of u**4/54 + u**3/27 - 2*u**2/9 + 4*u - 8. Let m(n) be the first derivative of c(n). Factor m(y).
2*(y - 1)*(y + 2)/9
Let k(r) be the third derivative of r**5/60 - r**4/12 - r**3/2 + 4*r**2. Factor k(f).
(f - 3)*(f + 1)
Let c be (3/6 + 0)*18. Let i = -7 + c. Suppose 2*p + p**i - 1/2 - 9/2*p**4 - 6*p**3 = 0. What is p?
-1, 1/3
Find h such that -4/3*h**4 - 4*h - 4/3*h**3 + 20/3*h**2 + 0 = 0.
-3, 0, 1
Let n be 24/36*(-1)/(-2). Let a(m) be the first derivative of 3 + 0*m - n*m**3 + 0*m**2. Suppose a(b) = 0. What is b?
0
Factor 3/5*w**3 + 0*w + 3/5*w**2 + 0 - 3/5*w**5 - 3/5*w**4.
-3*w**2*(w - 1)*(w + 1)**2/5
Suppose 0 + 2/5*z**5 + 0*z**2 + 4/5*z**4 + 0*z + 2/5*z**3 = 0. What is z?
-1, 0
Determine q so that -8/9 + 8/9*q - 2/9*q**2 = 0.
2
Let m = 13 - 43. Let d be ((-4)/10)/(6/m). Factor -8/3*x**3 - 2/3*x**4 - 4*x**d - 2/3 - 8/3*x.
-2*(x + 1)**4/3
Suppose 24*h + 5 = 5. Solve h*l**4 - 2/15*l**5 + 0 + 0*l + 0*l**2 + 2/15*l**3 = 0.
-1, 0, 1
Let m(l) be the first derivative of 2*l**3/3 - 38*l - 3. Let z(w) = 2. Let u(n) = -2*m(n) - 36*z(n). What is o in u(o) = 0?
-1, 1
Let c = -10 + 14. Suppose -l + 23 = 3*z + 6, -5*z - l = -25. Factor 0 + 26*i**2 - 3*i**3 + 2*i**c - 11*i**z + 3 + 5 + 28*i.
-(i - 2)*(i + 1)*(3*i + 2)**2
Let h(j) be the first derivative of -j**4/4 - 2*j**3/3 + j**2/2 + 2*j - 21. Factor h(v).
-(v - 1)*(v + 1)*(v + 2)
Let k be -3*1/3*-2. Determine s so that 4*s**2 + 2 + 0 - 2*s**k - 3*s + 3*s**3 - 3*s**2 - s**4 = 0.
-1, 1, 2
Suppose 3*r + 3 = -0, 0 = k - r - 1. Let x(i) be the third derivative of -i**2 + k + 1/30*i**5 - 1/60*i**6 + 0*i**3 + 0*i + 0*i**4. Find c, given that x(c) = 0.
0, 1
Let h(c) be the second derivative of -49/15*c**6 + 20/3*c**3 + 1/2*c**4 - 4*c**2 + 0 + 3*c - 7*c**5. Factor h(a).
-2*(a + 1)**2*(7*a - 2)**2
Let k = -31967/48 + 666. Let x(s) be the second derivative of -k*s**4 - 3*s - 1/80*s**5 + 1/24*s**3 + 0 + 1/120*s**6 + 0*s**2. Factor x(u).
u*(u - 1)**2*(u + 1)/4
Suppose 4 = -0*s + s. Let v = 0 - 0. Factor v + 2/5*t**2 - 4/5*t**3 + 2/5*t**s + 0*t.
2*t**2*(t - 1)**2/5
Let w(i) = i**2 + 1. Let m(r) = -4*r**2 - 2*r - 8. Let u(y) = -m(y) - 5*w(y). Suppose u(t) = 0. Calculate t.
-1, 3
Factor 4/3*g**3 + 0*g**2 - 2/3*g + 0*g**4 + 0 - 2/3*g**5.
-2*g*(g - 1)**2*(g + 1)**2/3
Let t be 5/55*(0 + 1). Let c = 9/22 + t. Solve 1/2*p**2 - 1/2*p**4 - c*p + 0 + 1/2*p**3 = 0.
-1, 0, 1
Let 0*p**4 - 4*p**4 + 124*p**2 + 4*p - p**3 - 114*p**2 - 8 - p**5 = 0. What is p?
-2, 1
Let k(h) be the first derivative of -h**4/20 - h**3/15 + 8. Factor k(o).
-o**2*(o + 1)/5
Suppose 0 = -3*a + 2*a + 2. Factor -1 - 9*b**a - 3*b**3 - 3*b - 2 - 6*b.
-3*(b + 1)**3
Let c(m) = 25*m. Let s be c(1). Let t be (6/(-15))/((-1)/s). Find r, given that -8/7 - 16/7*r + 62/7*r**2 + t*r**3 = 0.
-1, -2/7, 2/5
Let t(a) be the first derivative of -a**6/30 - a**5/5 - 7*a**4/20 + a**3/15 + 4*a**2/5 + 4*a/5 + 8. Determine x so that t(x) = 0.
-2, -1, 1
Suppose -4/3*k**3 + 0*k + 0*k**2 + 2/3*k**4 + 0 = 0. Calculate k.
0, 2
Factor 4/15 + 2/3*o**2 + 14/15*o.
2*(o + 1)*(5*o + 2)/15
Let t(x) be the first derivative of -4*x**3/3 + 16*x**2 - 64*x - 4. Factor t(m).
-4*(m - 4)**2
Suppose -12 = 2*u - 5*u. Let r(h) be the third derivative of 0*h + 0*h**u - 1/420*h**6 + 0*h**5 + 1/1176*h**8 + 0*h**3 + 0*h**7 - h**2 + 0. Factor r(x).
2*x**3*(x - 1)*(x + 1)/7
Let i(v) be the second derivative of 0 + 2*v - 2/9*v**3 + 1/18*v**4 + 0*v**2. Find g such that i(g) = 0.
0, 2
Let v(l) be the first derivative of -3*l**4/2 + 16*l**3/3 - 7*l**2 + 4*l - 36. Factor v(n).
-2*(n - 1)**2*(3*n - 2)
Let v(w) be the second derivative of w**6/9 - 4*w**5/15 + w**4/6 - 2*w. Suppose v(r) = 0. Calculate r.
0, 3/5, 1
Let w(z) be the third derivative of -z**7/1680 + z**3/3 - 3*z**2. Let u(l) be the first derivative of w(l). Determine k so that u(k) = 0.
0
Let m(r) be the second derivative of -r**6/135 + r**5/90 + r**4/54 - r**3/27 - 3*r. Solve m(v) = 0 for v.
-1, 0, 1
Let w(h) be the third derivative of h**8/10080 - h**6/360 - h**5/30 + h**2. Let n(c) be the third derivative of w(c). Factor n(t).
2*(t - 