tive of a**6/90 - a**5/15 + 5*a**4/36 - a**3/9 + 2*a - 4. Let f(y) be the first derivative of s(y). Factor f(c).
c*(c - 2)*(c - 1)**2/3
Let z(o) be the first derivative of o**6/6 - o**5/5 - o**4/2 + 2*o**3/3 + o**2/2 - o - 10. Factor z(w).
(w - 1)**3*(w + 1)**2
Let j(m) be the first derivative of -m**4/6 + m**3/3 - 4*m - 5. Let g(c) be the first derivative of j(c). Suppose g(z) = 0. Calculate z.
0, 1
Let z(m) be the third derivative of 5*m**8/336 - m**7/42 - m**6/8 + 5*m**5/12 - 5*m**4/12 + 9*m**2. Factor z(q).
5*q*(q - 1)**3*(q + 2)
Let p be 6 + (-6)/(3 - 0). Determine h so that p + h**3 - 3 - 2 - h + h**2 = 0.
-1, 1
Let w = 4 - 3. Suppose 2*g - 9 + w = c, -5*g = 3*c + 13. Let u(l) = -l**2 + l + 1. Let r(n) = -14*n**2 + 12*n + 8. Let h(z) = c*u(z) + r(z). Solve h(k) = 0.
-1/4, 1
Let p(d) be the second derivative of -3*d**5/40 - d**4/4 - d**3/4 - 13*d. Factor p(a).
-3*a*(a + 1)**2/2
Let y(n) = 3*n - 9. Let o be y(4). Determine j so that 7/3*j**5 + 3*j**2 - 3*j**4 - 2/3*j - 5/3*j**o + 0 = 0.
-1, 0, 2/7, 1
Let i = 1425 - 4273/3. Determine c, given that -2/3 - c - 1/3*c**5 + i*c**2 + 0*c**4 + 4/3*c**3 = 0.
-1, 1, 2
Factor -2/15 - 2/15*k**2 - 4/15*k.
-2*(k + 1)**2/15
Let f be (3 - 0)*(21/(-9) - -3). Let c(i) be the first derivative of -4 + 8/21*i**3 - 1/14*i**4 + 4/7*i - 5/7*i**f. Factor c(z).
-2*(z - 2)*(z - 1)**2/7
Let i be 29/14 + (-8)/14. Determine r, given that 0*r**2 + 0*r**3 + 0 + i*r**4 + 0*r - 3/2*r**5 = 0.
0, 1
Let s(y) = -6*y**2 - 7*y + 4. Let a(t) = 3 - 5*t**2 - 2*t - t - 3*t. Suppose -2*k = 11 - 1. Let h(w) = k*a(w) + 4*s(w). Find z such that h(z) = 0.
-1
Let q = 55 - 51. Let d(c) be the second derivative of -2/3*c**3 + 0*c**2 + 1/6*c**q + 0 + c. Suppose d(x) = 0. What is x?
0, 2
Let f(d) be the second derivative of -1/2*d**3 + 0 - 2*d - 5/2*d**2 + 1/12*d**4. Let c(y) = y**2 - 2*y - 3. Let a(n) = -10*c(n) + 6*f(n). Factor a(r).
-2*r*(2*r - 1)
Let s(f) = -f**5 + f**3 + 2*f**2 + 6*f - 2. Let n(b) = b**5 + b**4 - 2*b**2 - 5*b + 1. Let m(a) = -3*n(a) - 2*s(a). Factor m(i).
-(i - 1)*(i + 1)**4
Let j(z) be the second derivative of 25*z**7/49 - 17*z**6/21 - 9*z**5/35 + 6*z**4/7 - 8*z**3/21 - 11*z. Determine h, given that j(h) = 0.
-2/3, 0, 2/5, 1
Suppose 4*q = 3*q + 2. Let r = q - -1. Find c, given that 4*c**4 + c**2 + 4*c**3 - 6*c**3 - r*c**4 = 0.
0, 1
Suppose -2 = 4*u - 4*p + 2*p, 3*u + 3*p = 21. Factor q**2 + 4*q**3 - 7*q**5 + u*q - 3*q**3 + 19*q**4 - 16*q**3.
-q*(q - 1)**3*(7*q + 2)
Factor 0*y - 2/15*y**3 - 2/15*y**2 + 0.
-2*y**2*(y + 1)/15
Let m(q) = q**5 + q**4 + q**2. Let i(k) = 2*k**2 - 2*k**3 + 2*k**5 + 2*k**5 + 5*k**3. Let v(p) = -2*i(p) + 6*m(p). Solve v(a) = 0.
0, 1
Let s(f) be the third derivative of f**5/270 - f**4/36 + 2*f**3/27 + 6*f**2. Let s(c) = 0. Calculate c.
1, 2
Let c = -75/7 + 907/84. Let z(w) be the first derivative of -1/6*w**2 - 1/9*w**3 + 1/3*w + c*w**4 - 2. Factor z(q).
(q - 1)**2*(q + 1)/3
Let a be 2*-1*(-15)/(-10). Let c(r) = r**2 - 3*r - 5. Let j(y) be the first derivative of y**2/2 + 2*y + 1. Let u(h) = a*c(h) - 7*j(h). Factor u(k).
-(k - 1)*(3*k + 1)
Let k(c) be the first derivative of 0*c**4 + 0*c**2 + 0*c + 0*c**3 - 1/10*c**5 + 1. Solve k(o) = 0 for o.
0
Factor 2/5*x**2 - 8/5 - 1/5*x**3 + 4/5*x.
-(x - 2)**2*(x + 2)/5
Let p be (3 - 0) + (-5)/(-1). Suppose v - 5*v + p = i, 5*v - 5*i - 35 = 0. What is t in t + 19/2*t**4 + 1/2*t**2 + 0 - 15/2*t**v - 7/2*t**5 = 0?
-2/7, 0, 1
Let w(q) be the second derivative of -q**8/5040 - q**7/504 - q**6/135 - q**5/90 - q**3/2 + 2*q. Let f(z) be the second derivative of w(z). Factor f(b).
-b*(b + 1)*(b + 2)**2/3
Let i(m) = m**2 - 9*m + 10. Suppose -24 + 0 = -3*k. Let x be i(k). Determine j so that 2/5*j + 0 + 2/5*j**3 + 4/5*j**x = 0.
-1, 0
Let y(f) be the second derivative of -6*f**6/25 + 7*f**5/25 + 2*f**4/15 + f. Solve y(i) = 0.
-2/9, 0, 1
Let j(h) = -h**2 - 6*h + 40. Let g be j(-10). Determine b so that 0*b + g - 2/7*b**2 = 0.
0
Let t = 213/65 + -27/13. What is l in 2*l**2 - 4/5 + t*l = 0?
-1, 2/5
Let h(i) be the first derivative of i**7/105 - i**6/25 + i**5/25 - 6*i + 5. Let f(m) be the first derivative of h(m). Factor f(g).
2*g**3*(g - 2)*(g - 1)/5
Suppose 4*h - o = 0, 0 = -12*h + 10*h - 5*o. Let 3/2*r**5 + 2*r**4 - 2*r**2 + h + 2*r - 7/2*r**3 = 0. What is r?
-2, -1, 0, 2/3, 1
Let q(x) be the first derivative of 4*x**7/21 - 3*x**6/5 + x**5/5 + 4*x**4/3 - 2*x**3 + x**2 - 3*x - 5. Let z(j) be the first derivative of q(j). Factor z(s).
2*(s - 1)**3*(s + 1)*(4*s - 1)
Let d(x) be the third derivative of -x**8/5760 + x**7/1680 - x**6/2160 + x**4/8 - x**2. Let w(f) be the second derivative of d(f). Factor w(g).
-g*(g - 1)*(7*g - 2)/6
Let q(m) be the third derivative of -m**7/8820 + m**6/840 - m**4/8 + 2*m**2. Let v(k) be the second derivative of q(k). Solve v(x) = 0 for x.
0, 3
Suppose 4*t = 2 + 10. Factor -r**2 - 18 - 7*r**5 + 18 - 19*r**4 - 15*r**t + 3*r - r.
-r*(r + 1)**3*(7*r - 2)
Let j(d) be the second derivative of d**6/135 + d**5/90 - d**4/18 - d**3/27 + 2*d**2/9 - 7*d. Factor j(v).
2*(v - 1)**2*(v + 1)*(v + 2)/9
Let i(c) be the second derivative of c**4/3 + 2*c**3/3 - 4*c**2 - c - 5. Suppose i(a) = 0. Calculate a.
-2, 1
Let g(v) = -v**3 + 4*v**2 - 3*v. Let n be g(2). Let b be -1 - (3 - (9 - n)). Factor 1/2*f**b + 1/2*f + 0 + f**2.
f*(f + 1)**2/2
Let i(u) be the third derivative of u**7/630 - u**5/60 - u**4/36 - 37*u**2. Factor i(d).
d*(d - 2)*(d + 1)**2/3
Let c(h) be the first derivative of -h**7/630 + h**6/120 - h**5/180 - h**4/24 + h**3/9 - 3*h**2/2 + 1. Let l(f) be the second derivative of c(f). Factor l(n).
-(n - 2)*(n - 1)**2*(n + 1)/3
Let v(p) = -36*p**2 + 9*p + 21. Let b(s) = -7*s**2 + 2*s + 4. Let c(t) = 21*b(t) - 4*v(t). Factor c(g).
-3*g*(g - 2)
Let f(a) be the third derivative of 1/30*a**5 + 0*a**4 + 0*a**3 + 1/60*a**6 + 0*a - 5*a**2 + 0. Factor f(m).
2*m**2*(m + 1)
Let p(c) be the second derivative of -c**4/24 - c**3/6 - c**2/4 - 18*c. Find s such that p(s) = 0.
-1
Let d(p) be the first derivative of 1/9*p**3 - 2*p + 2/9*p**2 + 1/54*p**4 + 2. Let k(t) be the first derivative of d(t). Let k(r) = 0. What is r?
-2, -1
Let p = 27 - 25. Factor 0 - 2/9*d**3 + 2/9*d + 0*d**p.
-2*d*(d - 1)*(d + 1)/9
Let k = 176/465 + 2/93. Factor -k + 4/5*x**2 + 0*x + 0*x**3 - 2/5*x**4.
-2*(x - 1)**2*(x + 1)**2/5
Let n(u) be the third derivative of -u**6/840 + u**5/210 + u**4/24 + 2*u**3/21 + 24*u**2. Factor n(t).
-(t - 4)*(t + 1)**2/7
Let n be (2/(-6))/(2/(-6)). Let l(b) be the first derivative of -n + 4/3*b**3 + 2/3*b**6 + 4*b**4 - 2*b**2 + 14/5*b**5 - 2*b. Determine m so that l(m) = 0.
-1, 1/2
Let l(w) = w - 2. Let h be l(2). Let b be -1 - 5/(45/(-11)). Factor b*o**2 + 0 + h*o.
2*o**2/9
Let p(v) be the third derivative of v**6/24 - 5*v**5/12 + 35*v**4/24 - 5*v**3/2 - 9*v**2. Let p(q) = 0. What is q?
1, 3
Suppose 0 = -2*n + 6*n - 12. Let q = -55 + 277/5. Suppose -2/5*t**n - 4/5 + 2/5*t + 6/5*t**2 - q*t**4 = 0. Calculate t.
-2, -1, 1
Factor -1/3*o + 0 + 1/3*o**4 + o**2 - o**3.
o*(o - 1)**3/3
Let z(u) = -u**4 - u**3 - u**2 - u + 1. Let s(j) = -9*j**4 - 21*j**3 - 33*j**2 - 27*j. Let o(v) = s(v) - 6*z(v). Solve o(l) = 0.
-2, -1
Let h(x) be the first derivative of -8*x + 1 - x**4 - 16/3*x**3 - 10*x**2. Factor h(p).
-4*(p + 1)**2*(p + 2)
Let p(w) be the second derivative of -1/75*w**6 - 1/5*w**2 + 1/105*w**7 + 0 - 1/25*w**5 + 1/15*w**4 + 1/15*w**3 - 5*w. Find y such that p(y) = 0.
-1, 1
Let c(a) be the third derivative of -a**5/300 + a**4/120 + a**3/15 - 4*a**2. Factor c(m).
-(m - 2)*(m + 1)/5
Find a, given that -15*a**2 + 0*a**4 + 0*a**4 + 4*a - 5*a**4 + a + 15*a**3 = 0.
0, 1
Let w(f) be the third derivative of -1/20*f**4 - 1/150*f**5 + f**2 - 2/15*f**3 + 0 + 0*f. Solve w(r) = 0.
-2, -1
Let w(n) be the first derivative of -1/5*n**5 - n**3 + 0*n - 3/4*n**4 - 1/2*n**2 + 3. Suppose w(r) = 0. Calculate r.
-1, 0
Let s = 246 - 244. Solve 1/4*t - 1/4*t**3 + 0 + 0*t**s = 0 for t.
-1, 0, 1
Suppose -q - 3*q = 4. Let c(z) = -4*z**2 - z + 9. Let i(x) = -x**2 + x. Let n(a) = q*c(a) + 5*i(a). Factor n(k).
-(k - 3)**2
Let w(j) = -2*j**3 + 22*j**2 - 28*j + 20. Let k(l) = -l**2 + l - 1. Let y(v) = -12*k(v) - w(v). Let y(a) = 0. What is a?
1, 2
Determine j, given that 2/11*j**5 + 0*j**3 - 2/11*j**4 + 0*j + 0 + 0*j**2 = 0.
0, 1
Let j be -1 + (2/8 - -1). Factor j*k + 1/4*k**2 + 0.
k*(k + 1)/4
Let p =