d derivative of d**8/1344 - d**7/140 + 13*d**6/480 - d**5/20 + d**4/24 + 4*d**2 - 3. Suppose c(a) = 0. What is a?
0, 1, 2
Suppose 9*j = 7*j. Let n = 3 + j. Let -2*i**4 + i**4 + n*i**5 + i**2 + 2*i + 0*i - 5*i**3 = 0. Calculate i.
-1, -2/3, 0, 1
Let i = -858 - -2576/3. Determine y so that -y**2 - i*y + 0 - 1/3*y**3 = 0.
-2, -1, 0
Let a be 1*(4 + (-3 - -4)). Factor s**2 + 2*s**3 - a*s**2 - 1 - 1 - 2*s**2 + 6*s.
2*(s - 1)**3
Let r(g) = -8*g**3 + 2*g**2 - 3*g - 3. Let x(w) = -w**3 - w**2 - w - 1. Let h(b) = r(b) - 3*x(b). Factor h(z).
-5*z**2*(z - 1)
Suppose -i - 7 - 1 = 0. Let b be (-4 - i)/4 + -1. Factor 2/5*w**2 + b + 2/5*w.
2*w*(w + 1)/5
Let j(p) = p**3 - 8*p**2 + 11*p + 10. Let o be j(6). Factor i**3 + 0*i + 1/2*i**o + 1/2*i**2 + 0.
i**2*(i + 1)**2/2
Let n(i) be the first derivative of i**6/40 + 9*i**5/80 + 3*i**4/16 + i**3/8 - 2*i - 2. Let r(b) be the first derivative of n(b). Factor r(d).
3*d*(d + 1)**3/4
Let l(v) be the second derivative of -2*v**3 - 2/3*v**4 + 2/21*v**7 + 0 + 2/5*v**5 + 5*v - 2*v**2 + 2/5*v**6. Let l(p) = 0. Calculate p.
-1, 1
Let v be 12/(-40)*8/(-6). Let g = 16/15 - v. Solve 0 - g*w**4 - w**2 + 3/2*w**3 + 1/6*w = 0 for w.
0, 1/4, 1
Suppose -1/3*g**2 + 5/3 + 4/3*g = 0. What is g?
-1, 5
Factor 2*q**2 + 8*q**2 - 1 + 1 - 5*q - 5*q**3.
-5*q*(q - 1)**2
Let t(c) be the second derivative of c**8/560 - c**7/350 - c**6/200 + c**5/100 - 3*c**2 + 6*c. Let r(p) be the first derivative of t(p). Factor r(m).
3*m**2*(m - 1)**2*(m + 1)/5
Let b = 12 - 11. Factor -h**4 - 5*h**2 - h + b + h**3 + 8*h**2 - 3.
-(h - 2)*(h - 1)*(h + 1)**2
Let g(y) = -y**3 - 5*y**2 - y - 5. Let h = 9 - 14. Let s be g(h). Factor 2/5 + s*f - 2/5*f**2.
-2*(f - 1)*(f + 1)/5
Let j(d) be the third derivative of 0 - 1/6*d**3 + 0*d + d**2 - 1/60*d**5 + 1/12*d**4. Factor j(m).
-(m - 1)**2
Let v(f) be the first derivative of -f**5/25 - f**4/10 - 11. Factor v(t).
-t**3*(t + 2)/5
Let w(r) be the third derivative of -r**8/112 - r**7/35 - r**6/40 + 10*r**2. Factor w(j).
-3*j**3*(j + 1)**2
Let q(m) = m**2 + m + 1. Let y(u) = -2*u**2 + 10*u + 10 - 3*u**2 + 7*u**2 + 6*u**2. Let x(i) = 10*q(i) - y(i). Factor x(o).
2*o**2
Suppose 5*y + 3*h - 1212 = -0*h, y + 3*h = 240. Let p = y - 1695/7. Factor -2/7 - 4/7*c**2 + p*c.
-2*(c - 1)*(2*c - 1)/7
Let o(p) be the second derivative of -p**7/77 + 8*p**6/165 - p**5/110 - 4*p**4/33 + 4*p**3/33 - 7*p. Find v such that o(v) = 0.
-1, 0, 2/3, 1, 2
Factor 1/2 + 7/6*l**2 + 5/3*l.
(l + 1)*(7*l + 3)/6
Let r(x) = 78*x**4 - 48*x**3 - 197*x**2 - 79*x - 5. Let v(f) = -f**4 - f**3 - f**2 - f + 1. Let n(l) = -r(l) + 3*v(l). Let n(j) = 0. What is j?
-1, -2/9, 2
Let d(o) = o**3 + o**2 + 9*o - 4. Let z(w) = -w**3 - 9*w + 4. Let f(n) = -6*d(n) - 7*z(n). Factor f(b).
(b - 4)*(b - 1)**2
Factor -4*q**3 + 70*q**2 - 70*q**2.
-4*q**3
Let s(d) be the third derivative of d**5/270 + d**4/108 + 3*d**2. Factor s(v).
2*v*(v + 1)/9
Let a(v) be the first derivative of 0*v**2 + 0*v - 9/5*v**5 - v**3 + 3*v**4 + 9. Determine b so that a(b) = 0.
0, 1/3, 1
Determine n so that -3 - 15/4*n**2 + 6*n + 3/4*n**3 = 0.
1, 2
Let n(t) be the first derivative of -5*t**6/3 + 34*t**5/5 - 89*t**4/8 + 28*t**3/3 - 17*t**2/4 + t - 5. Let n(p) = 0. Calculate p.
2/5, 1/2, 1
Let k(j) be the first derivative of 1/8*j**4 + 0*j + 7 + 1/10*j**5 - 1/4*j**2 - 1/6*j**3. Factor k(s).
s*(s - 1)*(s + 1)**2/2
Suppose -2*d + 0*d = -8. Let n be d/(-14) + 180/42. Let -15*z**3 - 11*z**5 + 34*z**2 + 8 + 32*z - 42*z**n - 7*z**5 + z**3 = 0. Calculate z.
-1, -2/3, 1
Let z be (-2)/(-7) - 16/7. Let a be z*(2 + 0) - -4. Factor 1/2*x**2 - 1/2*x**3 - 1/2*x**4 + a*x + 0 + 1/2*x**5.
x**2*(x - 1)**2*(x + 1)/2
Let h(v) = 3*v**3 + 2*v**2 - 3*v + 1. Let s be h(1). Factor 3 + s*k**2 - 2*k - 7*k + 3*k.
3*(k - 1)**2
Let 6*h - 24*h**3 + 15*h**4 + 3*h**2 + 3*h - 3*h = 0. Calculate h.
-2/5, 0, 1
Let u = 82 - 80. Let w(r) = r**3 + 4*r**2 - 5*r + 2. Let a be w(-5). Factor -3*q + a*q + 2*q**u - q.
2*q*(q - 1)
Determine k, given that -5*k**5 - 4*k**4 + 19*k**4 - 15*k**3 + 5*k**2 + 0*k**2 = 0.
0, 1
Find n such that 4/5*n**2 - 4/5 + 2/5*n**3 - 2/5*n = 0.
-2, -1, 1
Let y be -3 - (6 - (-6 - -19)). Let 4/11*q**3 - 8/11 - 24/11*q + 6/11*q**y - 18/11*q**2 = 0. What is q?
-1, -2/3, 2
Let g(z) be the third derivative of -z**6/600 - z**5/100 - z**4/40 + 7*z**3/6 - 2*z**2. Let u(a) be the first derivative of g(a). Factor u(q).
-3*(q + 1)**2/5
Let k(s) = -s**2 - 4*s + 4. Let t be ((-12)/(-21))/((-8)/(-28)). Let i(o) = -o**2 - 8 + 4*o**2 + 8*o + 0*o**2. Let g(l) = t*i(l) + 5*k(l). Factor g(j).
(j - 2)**2
Let b(q) be the second derivative of -q**6/135 + q**4/54 + 5*q. Factor b(l).
-2*l**2*(l - 1)*(l + 1)/9
Let d(l) be the third derivative of 5*l**7/14 + 11*l**6/12 + 13*l**5/15 + l**4/3 + l**2. Factor d(t).
t*(3*t + 2)*(5*t + 2)**2
Factor 1/5*r**3 + 12/5*r + 8/5 + 6/5*r**2.
(r + 2)**3/5
Let h(p) be the first derivative of -p**6/12 + 7. Find n such that h(n) = 0.
0
Let j(t) be the third derivative of 11/21*t**4 - 121/210*t**5 - 4/21*t**3 - t**2 + 0*t + 0. Factor j(n).
-2*(11*n - 2)**2/7
Suppose 0 = -12*c - 10 + 10. Suppose -1/2*z**4 + 1/2*z**3 + 0 + c*z**2 + 0*z = 0. What is z?
0, 1
Solve -2/5*u + 0 + 2/5*u**2 = 0.
0, 1
Let v(j) = -j**2 + 1. Let a = -3 + 5. Let s(r) = 1 - a + 6*r**2 - 1 + 4*r. Let p(t) = -2*s(t) - 6*v(t). Solve p(q) = 0 for q.
-1, -1/3
Let i(t) = -65*t**2 - 375*t - 45. Let o(g) = 3*g**2 + 17*g + 2. Let u(s) = 2*i(s) + 45*o(s). Factor u(w).
5*w*(w + 3)
Suppose -2/3*p + 0 + 2/3*p**2 = 0. What is p?
0, 1
Let r be 7*(-10)/36 - -2. Let j(u) be the second derivative of -u + 0 + 0*u**3 + r*u**4 - 1/3*u**2. Let j(b) = 0. What is b?
-1, 1
Let n = -11 - -5. Let d = 6 + n. Factor 1/2*k + d + 3/2*k**2 - 3/2*k**4 - 1/2*k**3.
-k*(k - 1)*(k + 1)*(3*k + 1)/2
Let z be 1/(3/(-27)*-3). Solve -i**2 - i**5 + 2*i**z - 2*i**3 - i**4 + 2*i**4 + i**3 = 0 for i.
-1, 0, 1
Let m(j) be the second derivative of -j**7/168 - j**6/120 + j**5/80 + j**4/48 - 11*j. Factor m(u).
-u**2*(u - 1)*(u + 1)**2/4
Let h = -3 + 5. Determine q, given that 0*q**h - 2*q**2 - q**3 - 3*q**2 + 8*q**2 - 2*q = 0.
0, 1, 2
Let g(i) be the first derivative of 9/10*i**2 - 6 - 1/5*i**3 + 0*i. Let g(y) = 0. Calculate y.
0, 3
Let t(s) be the first derivative of s**6/1080 - s**5/120 + s**4/36 - 2*s**3/3 - 5. Let o(p) be the third derivative of t(p). Determine l, given that o(l) = 0.
1, 2
Let y be 68/17 + (22/(-5) - -1). Find j such that 0*j + 0*j**2 + y*j**3 - 3/5*j**4 + 0 = 0.
0, 1
Let g = 2/3 - 1/3. Factor -2/3 - g*o**2 - o.
-(o + 1)*(o + 2)/3
Let l(u) be the second derivative of u**6/60 + 2*u**2 + 4*u. Let p(y) be the first derivative of l(y). Factor p(a).
2*a**3
Suppose 3*p - 25 = 5*a, -4*p - 4*a = a - 45. Let n = p + -8. Factor -8/3*i**n - 6*i**4 + 0 + 0*i + 8*i**3.
-2*i**2*(3*i - 2)**2/3
Let n = -8 + 18. Let k = -7 + n. Factor k*u**2 + 4*u**2 - 2*u**2 + 4*u + 2 - 3*u**2.
2*(u + 1)**2
Let z(d) be the second derivative of d**4/6 + 4*d**3/3 + 4*d**2 - 14*d + 1. Find n such that z(n) = 0.
-2
Let y = 1211/5 - 242. Factor 1/5*z**2 - y*z - 2/5.
(z - 2)*(z + 1)/5
Let o(m) be the third derivative of m**5/105 - 5*m**4/84 + m**3/7 + 8*m**2. Let o(x) = 0. What is x?
1, 3/2
Let a(f) be the third derivative of f**9/17640 - f**8/5880 - f**7/8820 + f**6/1260 - 5*f**4/24 - 5*f**2. Let h(x) be the second derivative of a(x). Factor h(y).
2*y*(y - 1)**2*(3*y + 2)/7
Let p(b) = -b**3 - b**2 - b - 1. Let q(u) = -2*u + u + 5*u - 10*u**3 + 4. Let f(v) = -4*p(v) - q(v). Factor f(z).
2*z**2*(7*z + 2)
Suppose 5*g + 4*d - 7 = 0, -2 = -3*g + g - 2*d. Let k(c) = -c**2 + 5*c - 2. Let h be k(g). Factor s**h + 3*s**2 + 1 - 1 + s**2 + 4*s**3.
s**2*(s + 2)**2
Let w(l) be the second derivative of 0 - l + 2/3*l**2 - 1/3*l**3 + 1/18*l**4. Find p such that w(p) = 0.
1, 2
Let y(z) be the third derivative of 2/3*z**3 + 0*z - 1/15*z**5 + 0*z**4 + 0 - z**2. Let y(m) = 0. Calculate m.
-1, 1
Factor 4*q**4 - 1 + 12*q - 7 + 10*q**3 - 22*q**3 + 4*q**2.
4*(q - 2)*(q - 1)**2*(q + 1)
Let a be (-3 + 4/1)*2. Factor 10*j - a*j**2 - 12*j + 4 + 2*j**3 - 2*j**2.
2*(j - 2)*(j - 1)*(j + 1)
Let d(k) = k**2 + k. Let i(g) = -21*g**2 - 29*g - 9. Let y(v) = -10*d(v) - 2*i(v). Let y(w) = 0. Calculate w.
-3/4
Suppose -4*u + 14 + 6 = 0. Suppose -2*t = -u*t. Factor k**3 + k**2 - k**2 + k**2 + t*k**2.
k**2*(k + 1)
Let a(c) be the third derivative of -c*