2. Let s(l) be the first derivative of a(l). Factor s(g).
-2*(g + 3)**2
Let l(i) be the second derivative of i**7/3360 - i**5/480 - i**3/2 - 2*i. Let b(d) be the second derivative of l(d). Let b(t) = 0. Calculate t.
-1, 0, 1
Let b be ((-50)/(-20))/((-2)/(-4)). Let n(w) be the third derivative of 1/240*w**b - 1/12*w**3 - 1/96*w**4 + 0 + 0*w + w**2. Factor n(i).
(i - 2)*(i + 1)/4
Let l(y) be the first derivative of -3*y**4/4 + 3*y**3 - 9*y**2/2 + 3*y - 13. Factor l(g).
-3*(g - 1)**3
Let z(q) be the third derivative of 1/84*q**8 - 1/30*q**6 + 0*q**7 + 0*q**3 + 0*q**4 + 0*q**5 + 0*q + 8*q**2 + 0. Solve z(m) = 0 for m.
-1, 0, 1
Let p(u) = 13 - 5*u + 4*u + 2*u + 0*u. Let r be p(-11). Find m, given that 0*m**r - 2/11*m**3 + 0 + 0*m = 0.
0
Let p(t) be the second derivative of -t + 0 - 1/360*t**5 - t**2 + 0*t**3 + 0*t**4. Let h(s) be the first derivative of p(s). Factor h(i).
-i**2/6
Factor -2/5*g**5 - 2/5*g + 0*g**2 + 4/5*g**3 + 0 + 0*g**4.
-2*g*(g - 1)**2*(g + 1)**2/5
Factor 3*r**2 - 10*r**2 + 0*r**4 + 3*r**2 + 4*r**4.
4*r**2*(r - 1)*(r + 1)
Let w(y) be the second derivative of -y**8/2016 - y**7/1260 + y**6/720 + y**5/360 - 3*y**2/2 - 3*y. Let c(d) be the first derivative of w(d). Factor c(t).
-t**2*(t - 1)*(t + 1)**2/6
Let c(t) be the third derivative of 0 + 0*t**3 - 1/27*t**4 - 1/540*t**6 - 2/135*t**5 + 0*t + 2*t**2. Factor c(n).
-2*n*(n + 2)**2/9
Let t(x) be the third derivative of x**8/10080 - x**7/3780 - x**5/30 + x**2. Let p(a) be the third derivative of t(a). What is b in p(b) = 0?
0, 2/3
Let t be 1 + 16 - (-3 + -1). Let z be (32/(-24))/((-6)/t). Factor z*c**3 - 2*c**4 + 2/3*c - 10/3*c**2 + 0.
-2*c*(c - 1)**2*(3*c - 1)/3
Let r be (1 - 1)/(-2) - -5. Factor -d**4 + 5*d**4 - d**2 - r*d**4 + 2*d**3.
-d**2*(d - 1)**2
Let n = -7/27 - -95/54. Factor -n*c**2 - 3*c**3 - 3/2*c**4 + 0 + 0*c.
-3*c**2*(c + 1)**2/2
Let k(i) = i**3 + 3*i**2 - 5*i - 10. Let r be k(-3). Let w be (-8)/(-70) + 4/14. Factor 0 + 0*y**2 + w*y**3 - 2/5*y**r + 0*y + 0*y**4.
-2*y**3*(y - 1)*(y + 1)/5
Suppose 0*f + 0 - 35/4*f**5 - 8*f**4 + 1/2*f**2 + 5/4*f**3 = 0. Calculate f.
-1, -1/5, 0, 2/7
Let z(w) be the third derivative of w**5/20 + 3*w**4/16 + 15*w**2. Factor z(k).
3*k*(2*k + 3)/2
Let t be 10/(-9)*-3*-3. Let h be (-8)/t*5/2. Suppose -2/7*b**4 - 2/7*b**h - 4/7*b**3 + 0*b + 0 = 0. What is b?
-1, 0
Let h = -18/11 + 83/44. Factor 0*i - h*i**2 + 1/4.
-(i - 1)*(i + 1)/4
Let o(y) = -45*y**3 - 24*y**2 + 21*y. Let h(q) = -22*q**3 - 12*q**2 + 10*q. Let t(p) = -5*h(p) + 2*o(p). Find u such that t(u) = 0.
-1, 0, 2/5
Let q(r) be the first derivative of 0*r + 0*r**2 - 1 + 0*r**4 + 1/60*r**5 + 1/180*r**6 - r**3. Let k(t) be the third derivative of q(t). Factor k(d).
2*d*(d + 1)
Let k(s) be the first derivative of -9/5*s**3 + 4 - 6/5*s - 21/10*s**2 - 3/25*s**5 - 3/4*s**4. Factor k(l).
-3*(l + 1)**3*(l + 2)/5
Let i = -4 + 6. Factor -i*d**3 + 3*d**3 - 2*d**4 + 0*d**4 + d**3.
-2*d**3*(d - 1)
Let t = -1 + 5. Let a be (-1)/((-1)/2) + t. Factor -a - 5 - 1 - 18*h**3 - 3*h**4 - 36*h - 39*h**2.
-3*(h + 1)**2*(h + 2)**2
Suppose -104*z - 53*z - 1022*z**3 - 624*z**4 + 85*z - 636*z**2 - 96*z - 126*z**5 - 16 = 0. Calculate z.
-2, -1/3, -2/7
Let k(c) be the second derivative of c**6/540 - c**5/135 - c**4/108 + 2*c**3/27 - 3*c**2 - 3*c. Let s(m) be the first derivative of k(m). Solve s(z) = 0 for z.
-1, 1, 2
Suppose -60 = -4*u + u. Suppose 0*f + 4*r - u = f, 15 = f + 3*r. Factor 4/7*a**4 + 0*a**3 + f - 4/7*a**2 + 2/7*a**5 - 2/7*a.
2*a*(a - 1)*(a + 1)**3/7
Factor 0 + 10/11*u**2 + 2/11*u**4 + 8/11*u**3 + 4/11*u.
2*u*(u + 1)**2*(u + 2)/11
Suppose 2*v - 10 = -5*b, 2*v + 10 = -0*v. Let -l + 1/4*l**b + l**3 - 1 + 3/4*l**2 = 0. Calculate l.
-2, -1, 1
Let n = -11 + 15. Suppose -n = -2*h - 0. Factor 1/2*f**4 + 0*f**3 + 0 + 0*f + 5/4*f**5 + 0*f**h.
f**4*(5*f + 2)/4
Find z, given that 33/2*z + 15*z**3 + 9/2 + 9/2*z**4 + 1/2*z**5 + 23*z**2 = 0.
-3, -1
Let o be 0/1 - (-6 + 1). Let z = 2 - -2. Suppose 2*y - 2*y**3 - y**z + 14*y**3 - 7*y**4 - 8*y**2 + 2*y**o = 0. Calculate y.
0, 1
Suppose 93*z - 90*z - 30 = 0. Suppose 10*l**2 + z*l**3 - 8/5*l - 8/5 = 0. Calculate l.
-1, -2/5, 2/5
Suppose -2500/3 + 250*h + 5/6*h**3 - 25*h**2 = 0. Calculate h.
10
Let x(y) be the third derivative of y**5/100 + y**4/40 - y**3/5 - 7*y**2. Let x(t) = 0. Calculate t.
-2, 1
Let u(j) be the third derivative of j**7/280 - j**6/160 - j**5/40 + j**2 + 11*j. Factor u(y).
3*y**2*(y - 2)*(y + 1)/4
Let x(a) be the second derivative of -1/45*a**6 + 0 + 0*a**4 + 1/18*a**3 - a + 0*a**2 - 1/20*a**5. Find o, given that x(o) = 0.
-1, 0, 1/2
Find c, given that 0 - 8/3*c**2 - 4*c**4 + 0*c - 20/3*c**3 = 0.
-1, -2/3, 0
Let r(j) be the first derivative of j**6/1800 - j**3/3 + 5. Let v(k) be the third derivative of r(k). Factor v(n).
n**2/5
Let x(g) be the second derivative of 3*g**5/110 + g**4/66 - g**3/11 - g**2/11 - 4*g. What is i in x(i) = 0?
-1, -1/3, 1
Suppose -3*x + 4*x - 3 = 0. Let b(u) be the second derivative of -1/18*u**x + 1/36*u**4 + 0 + 0*u**2 - 2*u. Let b(j) = 0. What is j?
0, 1
Let b(u) be the first derivative of -2*u**3/15 - 4*u**2/5 - 6*u/5 + 2. What is o in b(o) = 0?
-3, -1
Let d(o) be the first derivative of -o**3/2 - 3*o**2/2 - 3*o/2 + 2. Factor d(c).
-3*(c + 1)**2/2
Let b(x) be the third derivative of -x**8/3920 + x**6/840 - x**3/2 + 5*x**2. Let u(v) be the first derivative of b(v). Find r, given that u(r) = 0.
-1, 0, 1
Let r(f) be the second derivative of -f**10/13440 - f**9/4032 - f**8/8960 + f**7/3360 + 5*f**4/12 - f. Let d(x) be the third derivative of r(x). Factor d(p).
-3*p**2*(p + 1)**2*(3*p - 1)/4
Let i be (-184)/(-40) + (-6)/10. Find a such that -3/2*a**3 + 0 - 2*a - 1/4*a**i - 3*a**2 = 0.
-2, 0
Suppose -5*k = 2*k. Factor 4/9*q + 10/9*q**2 - 2/9*q**5 + k + 2/3*q**3 - 2/9*q**4.
-2*q*(q - 2)*(q + 1)**3/9
Let b(y) be the first derivative of -5 - 1/2*y**2 + 0*y + 1/3*y**3. Let b(f) = 0. Calculate f.
0, 1
Let r(c) be the second derivative of -c**6/720 + c**5/120 - c**4/48 - 5*c**3/6 - 4*c. Let d(i) be the second derivative of r(i). Factor d(u).
-(u - 1)**2/2
Factor 90 + 5/2*a**2 + 30*a.
5*(a + 6)**2/2
Let c(g) be the first derivative of 0*g - 20*g**3 + 6*g**2 + 3 - 21/5*g**5 + 69/4*g**4. Let c(m) = 0. Calculate m.
0, 2/7, 1, 2
Factor 5*c**4 + 3*c + 12*c**2 - 3*c**4 + 2*c**4 + c + 12*c**3.
4*c*(c + 1)**3
Let d(b) be the second derivative of b**7/11340 + b**6/540 + b**5/60 + b**4/6 - 3*b. Let v(y) be the third derivative of d(y). Find j such that v(j) = 0.
-3
Suppose -12/5*n - 3/5*n**2 - 9/5 = 0. Calculate n.
-3, -1
Suppose g - 3*g = 0. Solve g - 1/5*a + 1/5*a**2 = 0 for a.
0, 1
Factor -24*i**4 + 23*i**4 + i**3 + 0 + 0.
-i**3*(i - 1)
Let k(c) be the third derivative of 0*c**3 + 8*c**2 + 0*c - 1/30*c**5 + 0 + 1/12*c**4. What is u in k(u) = 0?
0, 1
Let y(j) = j**5 + j**4 + 2*j**3 - 7*j**2 - 3*j. Let c(b) = 4*b**5 + 6*b**4 + 10*b**3 - 34*b**2 - 14*b. Let i(o) = -3*c(o) + 14*y(o). Find n such that i(n) = 0.
-1, 0, 1, 2
Factor 0*h**2 + 1/4*h**3 - 1/4*h**5 + 0 + 0*h + 0*h**4.
-h**3*(h - 1)*(h + 1)/4
Suppose z = -4*w + 6, -3*z - 1 + 2 = -5*w. Let i be (21/6)/w - 3. Factor -1 - i*y**2 - 3/2*y.
-(y + 1)*(y + 2)/2
Find z, given that 9*z**5 + 8*z**3 - 33*z**5 + 7*z**5 - 12*z**2 + 20*z**4 + z**5 = 0.
-3/4, 0, 1
Let u = 8213/18 - 456. Let r = 1/18 + u. Find f such that -2/3*f - r - 1/3*f**2 = 0.
-1
Let z = 186 + -186. Let 0 + 2/3*c**3 + 2/3*c**2 + z*c = 0. Calculate c.
-1, 0
Let s(p) be the third derivative of p**7/10080 - p**6/1440 + p**5/480 - 5*p**4/24 + 11*p**2. Let v(u) be the second derivative of s(u). Solve v(n) = 0.
1
Suppose 4*s - 7 - 11 = -3*i, s + 7 = 5*i. Determine w, given that -2 + 5*w + 4*w - 2*w**i + 0 - 5*w**2 = 0.
2/7, 1
Let q(a) be the second derivative of -3*a**5/80 - 7*a**4/24 - 17*a**3/24 - 3*a**2/4 + 52*a. Find j, given that q(j) = 0.
-3, -1, -2/3
Let a = -8701/9 + 967. Let 4/3*y**3 + 2/9*y**5 + 8/9*y**2 + 0 + 8/9*y**4 + a*y = 0. Calculate y.
-1, 0
Let s = 17 - 17. Let g(y) be the third derivative of 1/30*y**5 + s*y + 0*y**3 - 1/12*y**4 - y**2 + 0. Factor g(w).
2*w*(w - 1)
Let r = -14 + 23. Let u = 14 - r. Solve 2*c**3 - 6*c**u + 5 - 5 - 4*c**4 = 0 for c.
-1, 0, 1/3
Let r(l) be the third derivative of -3/20*l**5 - 1/24*l**4 - 8*l**2 + 0*l**3 + 0*l - 27/160*l**6 + 0. Factor r(z).
-z*(9*z + 2)**2/4
Suppose -2*w = -3*w - 3*z - 8, 3*w