vative of -n**5/120 + n**4/72 + n**3/18 - 6*n. Solve q(v) = 0.
-1, 0, 2
Let i(j) be the first derivative of j**8/560 + j**7/175 - j**5/50 - j**4/40 - j**2 - 2. Let d(o) be the second derivative of i(o). Factor d(u).
3*u*(u - 1)*(u + 1)**3/5
Let z(s) = -5*s. Let i be z(0). Let d(a) be the first derivative of 2/15*a**5 + 0*a**2 - 2/9*a**3 + 1 + i*a**4 + 0*a. Suppose d(l) = 0. Calculate l.
-1, 0, 1
Let j(y) be the third derivative of -y**6/30 - y**5/45 + 4*y**4/9 - 8*y**3/9 - 18*y**2. Factor j(v).
-4*(v - 1)*(v + 2)*(3*v - 2)/3
Let x = 4/3 - 10/9. Let d(s) = -2*s**2 + 3*s. Let n be d(0). Suppose 0 + 2/9*i**2 + n*i - x*i**3 = 0. Calculate i.
0, 1
Let n be 4/8 + (-5)/(-2). Let y = n - -1. Factor 0*m**2 + 0 - 3/2*m**5 + 0*m + 0*m**y + 3/2*m**3.
-3*m**3*(m - 1)*(m + 1)/2
What is q in q**3 - 6*q**3 + 128*q**5 + 4*q - 127*q**5 = 0?
-2, -1, 0, 1, 2
Suppose 0 = -6*h + h + 25. Let c(l) be the third derivative of 0*l**3 + 0 + 0*l**4 - 1/360*l**6 + 0*l - l**2 - 1/180*l**h. Solve c(p) = 0.
-1, 0
Solve 2/5*t + 4/5*t**4 - 11/5*t**3 + t**2 + 0 = 0 for t.
-1/4, 0, 1, 2
Suppose -4*c + 5*x + 68 = 0, 5*x + 5 = -15. Let y be ((-8)/30)/(c/(-50)). Determine h, given that -y*h**2 - 16/9*h - 8/9 - 2/9*h**3 = 0.
-2, -1
Let t be -2*(65/(-75) + 4/(-12)). Find o, given that 27/5*o - t*o**2 - 6/5 = 0.
1/4, 2
Let 3 - x + x**4 + 2*x**3 - 4 + x - 2*x = 0. What is x?
-1, 1
Let u(c) be the first derivative of 0*c + 0*c**3 - 1/14*c**4 + 1/7*c**2 - 3. Factor u(n).
-2*n*(n - 1)*(n + 1)/7
Let i = -4 + 7. Let b be (-10)/(-6) + 1/i. Let -2*w**5 + b*w**2 + 3*w - 6*w**3 + 6*w**4 - 3*w = 0. Calculate w.
0, 1
Factor 2/5*d**2 + 12/5 + 2*d.
2*(d + 2)*(d + 3)/5
Factor -4/5*z**5 - 2/5*z + 2*z**2 + 14/5*z**4 - 18/5*z**3 + 0.
-2*z*(z - 1)**3*(2*z - 1)/5
Let h be ((-6)/2 - 2)/(-1). Let f(z) = z**3 + 3*z**2 - 4*z + 4. Let c be f(-4). Suppose -2*o**c + 3*o**4 + 4*o**h - 3*o**5 = 0. What is o?
-1, 0
Let h = -1 + 7/5. Let c(f) be the first derivative of 2/5*f**2 + 1 - 2/15*f**3 - h*f. Suppose c(i) = 0. What is i?
1
Let c(g) be the second derivative of -1/3*g**4 + 3*g + g**2 - 1/3*g**3 + 0. Factor c(s).
-2*(s + 1)*(2*s - 1)
Let b(m) be the third derivative of m**6/660 + m**5/330 - m**4/132 - m**3/33 - 14*m**2. Determine n so that b(n) = 0.
-1, 1
Let g(n) be the second derivative of -3/20*n**4 + 0 + 0*n**2 + 1/5*n**3 - 5*n. Factor g(q).
-3*q*(3*q - 2)/5
Let n(b) be the second derivative of -b**5/40 + b**4/3 - 7*b**3/12 + 72*b. Determine l, given that n(l) = 0.
0, 1, 7
Let k(t) be the first derivative of 1/20*t**4 + 1/150*t**6 - t + 1/30*t**3 - 1 + 3/100*t**5 + 0*t**2. Let u(z) be the first derivative of k(z). Factor u(s).
s*(s + 1)**3/5
Determine p so that 8/5 + 2*p**2 - 2/5*p**3 - 16/5*p = 0.
1, 2
Suppose -2*x - 4 = 2*g + 2*x, -x - 1 = -4*g. Let c(q) be the third derivative of 0*q**3 - 4*q**2 + 1/330*q**5 + g*q + 0 + 0*q**4. Factor c(w).
2*w**2/11
Let l(c) be the third derivative of 0*c**4 + 1/140*c**7 + 0*c**3 - 1/160*c**6 + 0 + 0*c**5 - 1/448*c**8 + 0*c + 2*c**2. Let l(k) = 0. Calculate k.
0, 1
Let f(o) = 14*o - 1. Let s be f(-1). Let u(l) = l**3 + 16*l**2 + 14*l - 15. Let n be u(s). Factor 2/5*b**5 - 4/5*b**4 + n*b + 0 + 2/5*b**3 + 0*b**2.
2*b**3*(b - 1)**2/5
Let i(c) be the third derivative of c**9/181440 + c**8/30240 + c**7/15120 + c**5/20 + 3*c**2. Let a(y) be the third derivative of i(y). Factor a(x).
x*(x + 1)**2/3
Let h(y) = y + 1. Let p be h(1). Let d = 0 + p. What is w in 1/2*w - 1/2*w**d + 1/2 - 1/2*w**3 = 0?
-1, 1
Let l(w) be the third derivative of -3/2*w**3 + 0*w - 1/60*w**5 + 0 + w**2 - 1/4*w**4. Find r such that l(r) = 0.
-3
Suppose -4*l = -k - 13, -4*k = -3*l + 6*l - 24. Let m**k + 1/3*m - 1/3*m**4 - m**2 + 0 = 0. What is m?
0, 1
Factor 1/5*r**4 + 0*r + 0 - 1/5*r**5 + 1/5*r**3 - 1/5*r**2.
-r**2*(r - 1)**2*(r + 1)/5
Let f(p) be the third derivative of -p**5/20 + p**3/2 - 22*p**2. Determine r, given that f(r) = 0.
-1, 1
Find q, given that -3*q**2 + 0 + 4 + 0 - 2 + q = 0.
-2/3, 1
Let h = 5/8 - 3/8. Find m, given that -1/4 - 1/2*m - h*m**2 = 0.
-1
Let m(b) be the second derivative of -b**4/24 - b**3/3 - 3*b**2/4 + 12*b. Determine s, given that m(s) = 0.
-3, -1
Let u(m) be the first derivative of m**5/5 + 2*m**4/3 + 2*m**3/3 - 4*m + 10. Let l(a) be the first derivative of u(a). Suppose l(i) = 0. What is i?
-1, 0
Let d be 3*(-6)/45*-5. Solve o**5 - 9*o**5 - o**2 + 14*o**3 + 0*o**5 - 6*o - 2 + 3*o**d = 0.
-1, -1/2, 1
Let g(a) be the third derivative of a**2 + 0*a + 0 + 1/280*a**7 + 7/240*a**6 + 1/6*a**4 + 1/6*a**3 + 23/240*a**5. Determine n, given that g(n) = 0.
-2, -1, -2/3
Let s = 3 - 1. Let i(h) = -h**2 + 2*h + 2. Let u be i(s). Solve 0*t**2 + 2*t**u + 6 - 4*t - 4 = 0 for t.
1
Let o(x) be the first derivative of 1/135*x**6 + 1/27*x**3 - 1/54*x**4 + 2*x + 0*x**2 - 1/90*x**5 - 4. Let r(m) be the first derivative of o(m). Factor r(k).
2*k*(k - 1)**2*(k + 1)/9
Let a(t) be the second derivative of 1/5*t**2 + 1/30*t**3 + 6*t + 0 - 1/60*t**4. Factor a(k).
-(k - 2)*(k + 1)/5
Let u(y) be the second derivative of -y**8/960 - y**7/672 + y**6/720 - y**3/3 + 2*y. Let z(o) be the second derivative of u(o). Factor z(x).
-x**2*(x + 1)*(7*x - 2)/4
Let -1/4*o**5 - 2 - 1/4*o**3 + o**4 + 5*o - 7/2*o**2 = 0. What is o?
-2, 1, 2
Suppose -4*h + f = 1 - 12, 5*h = -2*f + 17. Suppose h*w + 0*w - 6 = 0. Factor 0*p + 11*p**4 + 16 + 2*p**5 - 20*p**w - 3*p**4 + 2*p**3 - 8*p.
2*(p - 1)**2*(p + 2)**3
Let i(u) = -u**5 + 6*u**4 + 7*u**3 - 5*u**2 + 5*u - 5. Let q(b) = 3*b**4 + 3*b**3 - 3*b**2 + 3*b - 3. Let n(t) = -3*i(t) + 5*q(t). Factor n(j).
3*j**3*(j - 2)*(j + 1)
Let l be -1*(-1)/10*2*7. Factor -2/5 - 12/5*s**4 - 4/5*s**3 + 14/5*s**2 - 3/5*s + l*s**5.
(s - 1)**3*(s + 1)*(7*s + 2)/5
Let z(x) be the second derivative of -2*x**7/21 + 2*x**6/5 - x**5/5 - x**4 + 4*x**3/3 - 20*x. Suppose z(l) = 0. Calculate l.
-1, 0, 1, 2
Let t(u) = 5*u**2 - 2*u - 2. Let d(b) = -9*b**2 + 3*b + 4. Let j(c) = -6*d(c) - 11*t(c). Let z be j(2). Factor 2/5*i**3 - 4/5*i**z + 2/5*i + 0.
2*i*(i - 1)**2/5
Factor 7 + 70*c**2 - 37*c**2 + 3*c - 34*c**2 + 3*c.
-(c - 7)*(c + 1)
Let q(n) be the third derivative of 0*n - 1/120*n**5 + 0 + 1/12*n**3 - 3*n**2 + 0*n**4. Factor q(l).
-(l - 1)*(l + 1)/2
Factor -4/5*t**2 - 4/5 - 8/5*t.
-4*(t + 1)**2/5
Suppose 5*k = 11 - 1. Let v(b) be the third derivative of 0*b**3 + 0 + 0*b + 1/120*b**5 - k*b**2 + 1/240*b**6 + 0*b**4. Factor v(t).
t**2*(t + 1)/2
Suppose 0 = -5*p + p + 32. Suppose -j = -5*j + p. Let -j*w**2 - 2*w - 3 + 4 + 3 = 0. What is w?
-2, 1
Suppose 1/4*f**3 + 3/4*f**4 - 3/4*f**2 + 1/4*f**5 - 1/2*f + 0 = 0. Calculate f.
-2, -1, 0, 1
Let s(i) be the third derivative of 0*i**3 - 1/150*i**5 - 1/30*i**4 + 0*i - i**2 + 0. Factor s(m).
-2*m*(m + 2)/5
Let k be 21/216*(-4)/(-14). Let j(b) be the third derivative of 1/60*b**5 - k*b**4 + 0*b**3 + 4*b**2 + 0 + 0*b. Factor j(d).
d*(3*d - 2)/3
Let g(t) be the third derivative of t**7/210 + t**6/30 + t**5/10 + t**4/6 + t**3/6 + 6*t**2. Factor g(m).
(m + 1)**4
Let k(m) be the third derivative of -1/24*m**4 + 0*m + 0*m**3 - 1/336*m**8 - 2/105*m**7 + 5*m**2 - 1/15*m**5 - 1/20*m**6 + 0. Factor k(o).
-o*(o + 1)**4
Suppose 3*m - 3 - 9 = 0. Let k(f) be the second derivative of -2*f + 1/18*f**m + 0*f**3 + 0 + 0*f**2. Solve k(o) = 0.
0
Let b(s) be the third derivative of 0 - 1/120*s**5 + 0*s - 1/12*s**3 - 2*s**2 + 1/24*s**4. Determine u, given that b(u) = 0.
1
Let y(l) be the third derivative of l**6/60 - 3*l**5/10 + 9*l**4/4 - 9*l**3 - 38*l**2. Find p such that y(p) = 0.
3
Let s(m) be the third derivative of -m**5/540 + m**4/108 - m**3/54 - 13*m**2. Factor s(c).
-(c - 1)**2/9
Suppose -k = 4*k. Let y be (-6 - -5) + (-12)/(-10). Factor 0*f + 0 + 1/5*f**5 + 2/5*f**4 + y*f**3 + k*f**2.
f**3*(f + 1)**2/5
Let q(b) be the first derivative of b**8/4200 - b**7/1050 - b**6/300 + 2*b**3/3 + 5. Let h(m) be the third derivative of q(m). Find k, given that h(k) = 0.
-1, 0, 3
Let p be (-7)/(-21) + (-28)/(-6). Let m be (-3)/(-3)*(-5 + p). Solve 2/3*t**3 + m + 2/3*t**2 - 2/3*t**5 + 0*t - 2/3*t**4 = 0 for t.
-1, 0, 1
Determine z so that 114*z**2 - 128*z + 15*z**2 + 16 + 91*z**2 = 0.
2/11, 2/5
Let w(v) be the second derivative of v**7/84 + 7*v**6/180 + v**5/30 - v**3/2 + v. Let j(y) be the second derivative of w(y). Determine g so that j(g) = 0.
-1, -2/5, 0
Let r(k) be the third derivative of 