derivative of 0*r + 3/2*r**2 + 3/4*r**4 + 2*r**3 - 8. Factor d(a).
3*a*(a + 1)**2
Suppose -16 = 4*f, -4*m + 2*f - f = -36. Factor 0*t + m*t**3 + 5/2*t**4 - 25/2*t**5 + 2*t**2 + 0.
-t**2*(t - 1)*(5*t + 2)**2/2
Let h(x) be the third derivative of x**5/40 - 3*x**4/16 + x**3/2 - 6*x**2. Find c, given that h(c) = 0.
1, 2
Let 25 - 48 - 10*c**2 - 5*c + 23 - 5*c**3 = 0. What is c?
-1, 0
Let r(d) be the first derivative of 0*d**4 + 3*d + 0*d**2 - 3 - 2*d**3 + 3/5*d**5. Let r(q) = 0. Calculate q.
-1, 1
Let l(f) be the first derivative of 1/12*f**3 + 1/16*f**4 + 1 - 1/4*f**2 + 0*f. Solve l(t) = 0 for t.
-2, 0, 1
Let y(s) be the third derivative of 0*s + 0 + 5*s**2 - 1/6*s**4 + 0*s**3 + 1/30*s**5. Factor y(g).
2*g*(g - 2)
Let p(w) = -w**4 - 8*w**3 - 5*w**2 - 2*w + 2. Let r be 20/(-12) + 2/(-6). Let h(m) = m**4 + 16*m**3 + 9*m**2 + 4*m - 5. Let l(g) = r*h(g) - 5*p(g). Factor l(k).
k*(k + 1)**2*(3*k + 2)
Let b(u) be the third derivative of -u**6/24 + u**5/6 + 5*u**4/24 - 5*u**3/3 + 13*u**2. Solve b(k) = 0 for k.
-1, 1, 2
Let k = -217/2 - -109. Let n(p) = p**3 - 5*p**2 + 6*p - 6. Let r be n(4). Suppose 5/4*d + 3/4*d**r + k = 0. Calculate d.
-1, -2/3
Let o(h) be the third derivative of 0*h + 1/15*h**3 - 1/150*h**5 + 0*h**4 + 0 + 4*h**2. Determine g, given that o(g) = 0.
-1, 1
Let o(x) be the third derivative of -3*x**2 + 1/84*x**6 + 1/1176*x**8 + 0*x**3 + 0 + 4/735*x**7 + 1/105*x**5 + 0*x**4 + 0*x. Solve o(p) = 0.
-2, -1, 0
Let u = 24 - 21. Factor -s**3 + 2*s**2 + 5*s**u - 3*s**3.
s**2*(s + 2)
Let o(i) be the third derivative of 0*i - 2*i**2 + 0 - 1/24*i**4 - 1/6*i**3 + 1/60*i**5 + 1/120*i**6. Let o(t) = 0. What is t?
-1, 1
Let j(w) = 3*w + 2 - 4*w - 3. Let a be j(-4). Factor d**a - 5*d**5 - 2*d + 3*d**3 + 3*d**5.
-2*d*(d - 1)**2*(d + 1)**2
Let m(f) be the first derivative of 0*f + 2/5*f**5 - 5/3*f**6 + 8/5*f**4 + 0*f**2 + 4 + 8/15*f**3. Suppose m(v) = 0. Calculate v.
-2/5, 0, 1
Let k = -3409/4 + 853. Factor -3/4*q**2 + 0*q + 3/4*q**4 + k*q**3 + 0 - 3/4*q**5.
-3*q**2*(q - 1)**2*(q + 1)/4
Let w(l) = l**2 + 3*l + 2. Suppose -3*x = -5*k + 34, -x + 3*k - 7 - 11 = 0. Let g be w(x). Factor 4*u**2 + 2*u**2 - 2*u**2 - 6*u**g.
-2*u**2
Let y = -94117/338300 + -6/4975. Let w = -1/34 - y. Find s, given that w*s**2 + 1 - s = 0.
2
Let p(y) = 2*y - 8. Let f be p(7). Let h(k) = k**3 - 7*k**2 + 8*k - 8. Let x be h(f). Factor -2*s**2 + 2*s**4 + x - 4.
2*s**2*(s - 1)*(s + 1)
Let x = 161/2 + -80. Determine y so that 1/2*y**2 + 0 + x*y = 0.
-1, 0
Factor -22*d + 21*d - d**2 + 0*d**2.
-d*(d + 1)
Factor -4*l**3 - l**3 + 0*l**3 - 5*l**4 + 0*l**3 + 10*l**2.
-5*l**2*(l - 1)*(l + 2)
Let s(z) = 11*z**4 - 20*z**3 + 39*z**2 - 23*z - 14. Let b(j) = 6*j**4 - 10*j**3 + 20*j**2 - 12*j - 8. Let d(y) = 7*b(y) - 4*s(y). Suppose d(v) = 0. What is v?
0, 1, 2
Suppose 0 + 0*h**4 + 3/8*h**5 + 0*h - 3/8*h**3 + 0*h**2 = 0. What is h?
-1, 0, 1
Let p(h) be the third derivative of -h**10/20160 - h**9/2520 - h**8/1120 - h**4/12 + 4*h**2. Let y(j) be the second derivative of p(j). Solve y(g) = 0.
-2, 0
Factor 0 + 0*m + 1/2*m**3 + 1/4*m**2 + 1/4*m**4.
m**2*(m + 1)**2/4
Let b(y) = -y**3 + y**2 - y. Let z(t) = 4*t**3 + 20*t**2 - 24*t - 64. Let i(h) = 8*b(h) + z(h). Factor i(v).
-4*(v - 4)**2*(v + 1)
Let u(h) be the first derivative of -h**5/40 + h**3/12 + h - 2. Let r(l) be the first derivative of u(l). Factor r(p).
-p*(p - 1)*(p + 1)/2
Solve 5*q**4 - 2*q - 15*q**2 - q**3 - 3*q + 10 + 3*q**3 + 3*q**3 = 0.
-2, -1, 1
Let n(y) = -y**2 - 4*y + 4. Let w be n(-6). Let f = w + 8. Factor f + 1/2*a**2 + 0*a - 1/2*a**3.
-a**2*(a - 1)/2
Let z(l) be the second derivative of -l + 1/12*l**4 - 1/2*l**2 + 1/6*l**3 - 1/20*l**5 + 0. Factor z(h).
-(h - 1)**2*(h + 1)
Let k = 65/57 + -9/19. Factor 1/3*h**3 + k*h**2 + 0*h + 0.
h**2*(h + 2)/3
Let v(k) be the second derivative of k**6/6 - 5*k**5/2 + 10*k**4 + 80*k**3/3 - 320*k**2 - 2*k - 25. Determine c, given that v(c) = 0.
-2, 4
Suppose 16 + 0 = 4*u - 4*i, 2*i = -4*u + 4. Let a = -4 + 6. Determine w, given that u*w**5 - 3*w**3 - w**3 + a*w**3 = 0.
-1, 0, 1
Let 3/4*p**2 + 0 + 0*p = 0. What is p?
0
Let q be (4/(-10))/((-21)/(-30))*-2. Factor 8/7*k + q*k**3 - 12/7*k**2 - 2/7*k**4 - 2/7.
-2*(k - 1)**4/7
Let j be (-195)/78 - (2 - -1)/(-1). Determine c so that -1/2*c + 1 - j*c**2 = 0.
-2, 1
Let s(l) be the second derivative of -5*l - 1/42*l**4 + 0*l**2 - 1/105*l**6 + 1/35*l**5 + 0 + 0*l**3. Factor s(x).
-2*x**2*(x - 1)**2/7
Let f(p) = p - 1. Let z be f(3). Suppose -z*i = -3*i. Factor i*q + 0 + 0*q**2 + 2/11*q**3.
2*q**3/11
Let i(m) be the first derivative of -5*m + 2*m**2 - 1 - 4/3*m**3. Let w(x) = x - 1. Let o(k) = -i(k) + 5*w(k). Factor o(y).
y*(4*y + 1)
Let 1/8*f**2 + 0 + 9/8*f = 0. Calculate f.
-9, 0
Let q be (-2)/(-3 - 5/(-2)). Suppose 8 = q*i - 0*i. Let 0 - 1/3*b**i - 1/3*b = 0. Calculate b.
-1, 0
Let w(b) be the second derivative of -27*b**5/20 + b**4/4 + 10*b**3/3 + 2*b**2 - 33*b. Factor w(z).
-(z - 1)*(3*z + 2)*(9*z + 2)
Let h(a) be the second derivative of -a**7/11340 + a**6/1080 - a**5/270 - 7*a**4/12 + 2*a. Let d(n) be the third derivative of h(n). Factor d(z).
-2*(z - 2)*(z - 1)/9
Let r(p) be the first derivative of -2*p**3/45 + p**2/5 - 4*p/15 - 15. Factor r(w).
-2*(w - 2)*(w - 1)/15
Suppose 2*l - 14 = -2*j + 6*l, 14 = 4*j - l. Determine c, given that -2*c**2 - 2 - 3*c**j - 11*c - 10*c**2 - c**2 - c**3 = 0.
-2, -1, -1/4
Suppose 0*f + 4 = 2*f. Let q be (3 - -1 - f) + 1. Suppose -p**5 + 0*p**4 - p**q - 3*p**4 + 5*p**4 = 0. Calculate p.
0, 1
Let m(y) be the third derivative of -23*y**5/600 - 7*y**4/80 + y**3/30 + 32*y**2. Solve m(c) = 0 for c.
-1, 2/23
Let o be 2/3*(-6)/(-16). Factor 1/4*n**3 + 0*n**2 + 0 - o*n.
n*(n - 1)*(n + 1)/4
Suppose 2*v = -0*v + 18. Factor 0*u**2 - v*u - 2*u**2 + 5*u**2 + u**2 + 2.
(u - 2)*(4*u - 1)
Suppose -d = 4*d - 10. Suppose 0 = -q - 4*u - 6, 2*q + 2*u = -u - 2. Factor -d*l + 2*l**4 - 2*l**5 + q*l.
-2*l**4*(l - 1)
Suppose 0 = -3*m + 9, -2*m + 0*m = 5*l + 14. Let j be 6/4*l/(-18). Factor -j + t + 4/3*t**2.
(t + 1)*(4*t - 1)/3
Let c(g) = -g**3 - 1. Let r(a) = -5*a**3 - 4*a**2 - 11. Let b(v) = -22*c(v) + 2*r(v). Factor b(t).
4*t**2*(3*t - 2)
Let i(v) be the third derivative of 8/27*v**3 + 2*v**2 + 0 - 1/27*v**4 + 0*v + 1/540*v**6 - 1/135*v**5. Solve i(h) = 0.
-2, 2
Factor 2/11*w - 2/11*w**2 - 2/11*w**3 + 2/11*w**4 + 0.
2*w*(w - 1)**2*(w + 1)/11
Let d(r) be the third derivative of -r**7/945 + r**5/90 - r**4/54 - r**2. Factor d(x).
-2*x*(x - 1)**2*(x + 2)/9
Let l(p) be the third derivative of 0 - p**2 + 0*p**3 - 1/60*p**6 + 0*p**4 + 0*p - 1/30*p**5. Solve l(g) = 0 for g.
-1, 0
Suppose -9 = -4*z + 3. Factor v**2 + z*v**5 - 4*v**5 + 0*v + 0*v + v**3 - v**4.
-v**2*(v - 1)*(v + 1)**2
Let x = -17 - -127/7. Suppose c = -3*c + 8. Factor 2/7*f**3 + 8/7*f + x*f**c + 0.
2*f*(f + 2)**2/7
Let r(w) = w**4 - w**3 - w**2 - w. Let o(f) = -11*f**4 + 20*f**3 + 2*f**2 - f. Let m(j) = -o(j) - 5*r(j). Factor m(p).
3*p*(p - 2)*(p - 1)*(2*p + 1)
Let y(f) be the third derivative of f**7/2520 + f**6/360 + f**5/180 + f**3/6 - f**2. Let j(q) be the first derivative of y(q). Factor j(r).
r*(r + 1)*(r + 2)/3
Let t(d) be the first derivative of -1/2*d**2 + 1/4*d**4 + 4 - 2/3*d**3 + 2*d. Let t(g) = 0. What is g?
-1, 1, 2
Let n(i) = i**3 - 10*i**2 - 10*i - 12. Let y be n(11). Let t be 1 + (0 - (y + 2)). Solve t*k + 0 - 1/5*k**2 = 0.
0
Let i(a) = a**4 + a**2. Let d(n) = 4*n**4 + 2*n**2. Let y(m) = 2*d(m) - 4*i(m). Find t such that y(t) = 0.
0
Let x(h) be the second derivative of h**8/10080 + h**7/1260 - h**4/12 + 2*h. Let r(f) be the third derivative of x(f). Factor r(k).
2*k**2*(k + 3)/3
Solve 3 + 45*i**2 - 18 - 11*i**4 + 5*i + 15*i**3 + i**4 = 0.
-1, 1/2, 3
Let z(n) be the second derivative of 0*n**3 + 0*n**4 + 0 + n - 1/80*n**5 + 1/60*n**6 + 0*n**2 - 1/168*n**7. Factor z(d).
-d**3*(d - 1)**2/4
Let a be (-8 - (-6)/3) + -1. Let z = a - -11. Factor -3*y**2 - 16*y**z + 6*y**5 + 12*y**3 + 2*y**3 - y**2.
2*y**2*(y - 1)**2*(3*y - 2)
Let d(z) = -10*z + 1. Let c be d(-1). Let g = c - 11. Factor 0 - 3/2*a**4 - 3/2*a**3 + 3*a**2 + g*a.
-3*a**2*(a - 1)*(a + 2)/2
Let j be (-5)/(-2)*(-20)/(-25). What is a in 0*a**3 + 0*a - 1/5*a**j + 1/5*a**4 + 0 = 0?
-1, 0, 1
Let w(r) = -r**3 + 7*r**2 + 18*r. Let n be w(9). Factor -2/7*c + 0*c**2 + n + 2/7*c**3.
2*c*(c - 1)*(c + 1)/7
Let t(n) be the second d