0 = 0. What is k?
-1, 0
Let n(y) be the third derivative of -y**8/1008 + y**7/630 + y**6/180 - y**5/90 - y**4/72 + y**3/18 - 51*y**2. Let n(p) = 0. Calculate p.
-1, 1
Let o = 1 - -1. Let h(p) = -2*p**5 - p**4 + p**3 - p**2 - 2*p - 4. Let i(d) = d**5 - d**3 + d**2 + d + 1. Let k(l) = o*h(l) + 6*i(l). Find r such that k(r) = 0.
-1, 1
Let h(p) = p**2 - 8*p + 14. Let r be h(6). Find o, given that r*o - 4/3 - 2/3*o**2 = 0.
1, 2
Suppose -5 + 2 = -f. Factor -6*a**4 - 6*a**3 + a**f - 2*a**2 - 2*a**5 - a**3.
-2*a**2*(a + 1)**3
Suppose 2*s - 10 = -6. Suppose 2/9 - 2/9*d - 2/9*d**s + 2/9*d**3 = 0. What is d?
-1, 1
Let t(k) be the third derivative of -k**7/630 + k**6/72 - k**5/60 - k**4/8 - 26*k**2. Factor t(y).
-y*(y - 3)**2*(y + 1)/3
Let g(h) = -h**2 + 1. Let t be g(-1). Let m(b) = 2*b**3 + 17*b**2 + 36*b + 5. Let d be m(-5). Factor 1/2*a**4 + 1/2*a**3 + d*a**2 + t + 0*a.
a**3*(a + 1)/2
Let u(i) be the first derivative of -3*i**5/25 - 3*i**4/20 + 2*i**3/5 + 7. Let u(n) = 0. Calculate n.
-2, 0, 1
Suppose -8 = 3*r - 5*r. Factor 2 + r*d**3 - 4*d**2 - 4*d**3 + d**4 + d**4.
2*(d - 1)**2*(d + 1)**2
Let n(x) = x**3 - x**2 + x. Let d(r) = 4*r**4 + 12*r**3 - 8*r**2 - 4*r. Let g(j) = -d(j) + 4*n(j). Factor g(a).
-4*a*(a - 1)*(a + 1)*(a + 2)
Let v(w) = -w**3 + 5*w**2 - 2*w. Let r be v(2). Suppose -3*y + 2*s + r = -6, -5*s - 14 = 3*y. Factor 6/5*p**4 - 3/5*p**5 - 3/5*p**3 + 0 + 0*p**y + 0*p.
-3*p**3*(p - 1)**2/5
Let j be (10 - 4) + 1*-3. Suppose -2*u + j = -u. Find z, given that -4/9*z**2 + 2/9*z**u + 2/9*z + 0 = 0.
0, 1
Let q = 5 - 6. Let c(d) = 9*d**2 - d. Let h be c(q). Find x such that 2*x**2 - h*x**3 + 2*x**2 + 0*x**2 = 0.
0, 2/5
Let h(n) = n**3 + 5*n**2 - 5*n + 6. Let c(l) = -l - 6. Let r be c(0). Let u be h(r). Suppose u*o - 1/2*o**3 + 0 + 1/4*o**4 + 1/4*o**2 = 0. What is o?
0, 1
Let q(i) be the third derivative of i**7/735 + 17*i**6/420 + 3*i**5/7 + 9*i**4/7 - 72*i**3/7 - 10*i**2. Find t such that q(t) = 0.
-6, 1
Suppose 5*t + 11 - 26 = 0. Suppose -t*v + 10 = 2*v. Factor x + 1/2 + 1/2*x**v.
(x + 1)**2/2
Suppose 27 = 3*a - 3*l, 0 = -2*a - 4*l + 3*l + 3. Solve 6*r**a + 0 - 3/2*r**5 - 9*r**3 - 3/2*r + 6*r**2 = 0 for r.
0, 1
Let q be (-2 - 2) + (8 - -1). Let i(r) be the second derivative of 0 - r - 1/6*r**3 + 1/60*r**q - 1/3*r**2 + 0*r**4. Factor i(l).
(l - 2)*(l + 1)**2/3
Let z be (54*-1)/((-135)/18). Factor -16/5 + 8*i - z*i**2 - 2/5*i**4 + 14/5*i**3.
-2*(i - 2)**3*(i - 1)/5
Let l(r) be the second derivative of 5*r**4/12 + 4*r**3/3 - 2*r**2 - 2*r. Factor l(n).
(n + 2)*(5*n - 2)
Let g(o) be the third derivative of -1/360*o**6 - 3*o**2 - 1/6*o**3 + 0*o**5 + 0*o + 0 + 1/24*o**4. Let p(c) be the first derivative of g(c). Solve p(t) = 0.
-1, 1
Suppose -5*k = z, 4*z - 38 + 16 = 2*k. Let r(l) = -3*l - 1. Let v be r(k). Determine a so that -a**v + a**3 - 2*a + 5*a**2 - 3*a**3 = 0.
0, 1
Factor 0*v**2 + 2/9*v**3 + 0 - 2/9*v.
2*v*(v - 1)*(v + 1)/9
Factor 6/7*c**4 + 2/7*c**2 - 6/7*c**3 + 0*c + 0 - 2/7*c**5.
-2*c**2*(c - 1)**3/7
Let z(s) be the third derivative of 1/42*s**4 + 3*s**2 + 0*s - 1/70*s**5 - 1/35*s**6 + 0 + 0*s**3 - 1/105*s**7. Determine d so that z(d) = 0.
-1, 0, 2/7
Let j(m) be the first derivative of m**6/60 + m**5/20 - m**3/6 - m**2/4 - 2*m - 2. Let y(d) be the first derivative of j(d). Factor y(q).
(q - 1)*(q + 1)**3/2
Let z be ((-5)/45)/(2/(-4)). Let i(d) be the first derivative of -1/6*d**2 + 2 + 0*d - z*d**3 - 1/12*d**4. Determine y, given that i(y) = 0.
-1, 0
Let f = -2/41 - -45/82. Let c(s) be the first derivative of f*s + 1/6*s**3 + 1/2*s**2 + 1. Determine i so that c(i) = 0.
-1
Factor 10/9*f - 4/9*f**2 + 4/3 - 2/9*f**3.
-2*(f - 2)*(f + 1)*(f + 3)/9
Let b(u) be the third derivative of 3*u**7/70 - u**6/10 + u**5/20 + 15*u**2. Factor b(k).
3*k**2*(k - 1)*(3*k - 1)
Let a(w) = 3*w**3 - 5 - 7*w - w**2 - w**3 + 2*w**2 + 4*w**2. Let i(x) = 3*x**3 + 8*x**2 - 11*x - 8. Let r(z) = 8*a(z) - 5*i(z). Solve r(g) = 0.
-1, 0, 1
Let a(m) be the second derivative of m**5/20 + m**3/6 + 3*m**2/2 - 2*m. Let p be a(0). Solve 2*w**2 + 5*w**3 - 2*w**3 - 5*w**p = 0.
0, 1
Let x(t) be the second derivative of t**4/54 - 10*t**3/27 + 2*t - 6. Factor x(f).
2*f*(f - 10)/9
Let b(z) be the first derivative of -z**4/16 + 5*z**3/12 - z**2 + z + 1. Factor b(d).
-(d - 2)**2*(d - 1)/4
Let s = 5 + -1. Let f(i) be the first derivative of -i**3 + 2*i**2 + 2. Let p(d) = -16*d**2 + 21*d. Let q(y) = s*p(y) - 22*f(y). Find g such that q(g) = 0.
0, 2
Let p(k) be the second derivative of k**7/210 - k**6/30 + 9*k**5/100 - 7*k**4/60 + k**3/15 + 38*k. Factor p(o).
o*(o - 2)*(o - 1)**3/5
Let k(b) be the first derivative of 2*b**5/7 - 3*b**4/14 - 4*b**3/21 - 9. Factor k(w).
2*w**2*(w - 1)*(5*w + 2)/7
Let w(f) be the third derivative of -f**6/90 + f**4/6 - 4*f**3/9 - 22*f**2. Factor w(g).
-4*(g - 1)**2*(g + 2)/3
Let q be (18/15)/(6/20). Suppose q*n = 2*u + 5 + 3, -3*u = -5*n + 8. Factor a + 17/4*a**3 + 0 - n*a**2 - 5/4*a**4.
-a*(a - 2)*(a - 1)*(5*a - 2)/4
Let -62/3*z - 4 - 58/3*z**2 - 8/3*z**3 = 0. What is z?
-6, -1, -1/4
Let o(w) be the third derivative of 0*w - 2/21*w**3 - 1/30*w**6 - 1/1176*w**8 - 3/28*w**4 - 8/105*w**5 - 2/245*w**7 - 2*w**2 + 0. Let o(b) = 0. What is b?
-2, -1
Let l = 407/3384 + 2/423. Let y(s) be the second derivative of -l*s**4 - 1/4*s**3 - 1/4*s**2 + 0 + s - 1/40*s**5. Factor y(w).
-(w + 1)**3/2
Suppose -4/3*x**4 + 0 + 4/3*x**3 + 4/9*x**5 + 0*x - 4/9*x**2 = 0. Calculate x.
0, 1
Let z(o) be the first derivative of o**6/12 + o**5/2 + 9*o**4/8 + 7*o**3/6 + o**2/2 + 20. Factor z(j).
j*(j + 1)**3*(j + 2)/2
Suppose -456/5*d**3 + 33*d**2 - 12/5 + 36/5*d + 84*d**5 - 153/5*d**4 = 0. Calculate d.
-1, -2/7, 1/4, 2/5, 1
Let h be (8 - (-568)/(-72))*6. Factor h*t**3 + 2/3*t**2 + 0 + 0*t.
2*t**2*(t + 1)/3
Factor -1/2*q - 1/4 - 1/4*q**2.
-(q + 1)**2/4
Let d = 2475/7 + -353. Suppose d*x**2 + 0 + 2/7*x = 0. Calculate x.
-1/2, 0
Let n = 34 + -32. Let h(g) be the third derivative of n*g**2 + 1/15*g**5 + 1/60*g**6 + 0*g**3 + 1/12*g**4 + 0*g + 0. Factor h(q).
2*q*(q + 1)**2
Let k(x) = 65*x**3 + 12*x**2 + 11*x + 11. Let i(p) = 22*p**3 + 4*p**2 + 4*p + 4. Let j(r) = 11*i(r) - 4*k(r). Solve j(q) = 0.
-2/9, 0
Suppose -22 = -4*p + 2*s, -2*p - s = -3*p + 7. Factor -5*q**3 - 14*q**4 - q**3 + 9*q**5 - 5*q**p + 16*q**4.
3*q**3*(q - 1)*(3*q + 2)
Let o(i) be the first derivative of -i**6/33 - 6*i**5/55 - 3*i**4/22 - 2*i**3/33 - 7. Find z such that o(z) = 0.
-1, 0
Let g(s) be the first derivative of s**6/540 - s**5/135 + s**4/108 - 2*s**2 - 3. Let w(t) be the second derivative of g(t). Factor w(u).
2*u*(u - 1)**2/9
Find t such that 33*t + 35*t - 16*t**3 + 26*t**3 - 16*t + 134*t**2 = 0.
-13, -2/5, 0
Suppose -3*d + 3*s = 3, -13 = -0*d + d - 5*s. Factor 2*h**2 + h**2 + 5*h + 2 - d - 2.
(h + 2)*(3*h - 1)
Let a(m) be the third derivative of -1/135*m**5 + 1/27*m**3 + 1/945*m**7 + 0 + 1/108*m**4 - m**2 - 1/270*m**6 + 0*m + 1/1512*m**8. Factor a(f).
2*(f - 1)**2*(f + 1)**3/9
Let a(h) = h - 2. Let u be a(5). Factor -8 - u*g**2 - 4*g - 6*g + 2*g + g**2.
-2*(g + 2)**2
Let h(m) be the third derivative of -m**8/560 + m**7/70 - m**6/30 - 2*m**3/3 - 3*m**2. Let q(v) be the first derivative of h(v). Factor q(f).
-3*f**2*(f - 2)**2
Let t(h) = -4*h**2 - 2*h - 4*h**2 + h**2 - 12 - h**3 + h**2. Let s be t(-6). Suppose -2/5*l**2 + 4/5*l + s = 0. What is l?
0, 2
Let x(j) be the third derivative of -j**6/780 + j**5/130 - 3*j**2. What is q in x(q) = 0?
0, 3
Let m = -3 + 4. Let w be (-2)/10 + m/5. Determine x, given that w*x**2 + 0 - 2/3*x**3 + 0*x**4 + 1/3*x + 1/3*x**5 = 0.
-1, 0, 1
Suppose -a = u - 1 - 3, -5*u + 14 = 2*a. Let f be (0 - -1)*0/(-2). Factor f + 1/5*o**u + 2/5*o.
o*(o + 2)/5
Let k(u) be the first derivative of 5*u**6/2 - 8*u**5 + 35*u**4/4 - 10*u**3/3 - 4. Determine q, given that k(q) = 0.
0, 2/3, 1
Let c be (-1)/3*(-180)/15. Let i(y) be the third derivative of -1/120*y**5 + y**2 - 1/48*y**c + 1/6*y**3 + 0 + 0*y. Factor i(x).
-(x - 1)*(x + 2)/2
Let i(k) = -3*k**5 + 3*k**4 + 2*k + 2. Let p(l) = -21*l**5 + 21*l**4 + 15*l + 15. Let f(j) = 15*i(j) - 2*p(j). Determine v, given that f(v) = 0.
0, 1
Let t(p) be the first derivative of -2 - 2*p + p**3 - 1/5*p**5 + 1/2*p**2 - 1/4*p**4. Factor t(l).
-(l - 1)**2*(l + 1)*(l + 2)
Let u(a) be the first derivative of -1/50*a**5 + 1 + 1/10*a**4 + 1/5*a**2 - 1/5*a**3 - 3*a. Let h(m) b