erivative of -k**3 + 0*k - 3*k**2 + j + 3/20*k**5 - 1/8*k**4. Solve a(t) = 0 for t.
-2/3, 1
Suppose 3/4*y**3 + 1/2*y**2 + 0 + 1/4*y**4 + 0*y = 0. What is y?
-2, -1, 0
Let l(h) be the third derivative of -h**5/10 - h**4/6 - 2*h**3/3 + 2*h**2. Let a(x) = -7*x**2 - 3*x - 3. Let b(o) = 4*a(o) - 5*l(o). Find p such that b(p) = 0.
-2
Let d(i) be the first derivative of -6 - 81*i - 3/4*i**4 - 9*i**3 - 81/2*i**2. Factor d(z).
-3*(z + 3)**3
Let k(x) be the third derivative of 1/24*x**4 + 0*x + 0 - 5*x**2 - 1/12*x**3 - 1/120*x**5. Solve k(l) = 0 for l.
1
Let u = -35/4 + 71/8. Let j(h) be the third derivative of h**3 + 0 - 1/20*h**5 - 3*h**2 + 0*h - u*h**4. Factor j(c).
-3*(c - 1)*(c + 2)
Factor -1/3*k + 2/3 - 1/3*k**2.
-(k - 1)*(k + 2)/3
Suppose -3*q**4 + 4*q**4 - 2*q**4 - 4*q**2 - 2*q**3 + 3*q**4 = 0. Calculate q.
-1, 0, 2
Factor 2/3 - 35/3*c**3 + 10/3*c + 49/6*c**4 - 1/2*c**2.
(c - 1)**2*(7*c + 2)**2/6
Let y(h) be the third derivative of h**5/100 + h**4/2 + 10*h**3 - 10*h**2 - h. Factor y(i).
3*(i + 10)**2/5
Let m be ((-133)/(-57))/(2/3) + 4. Let 7/2*v**2 + 1/2*v**3 + m*v + 9/2 = 0. What is v?
-3, -1
Determine t so that 1/3*t - 2/3*t**3 + 0*t**4 + 0*t**2 + 0 + 1/3*t**5 = 0.
-1, 0, 1
Let o(l) be the second derivative of l**4/18 + 7*l**3/18 + 5*l**2/6 - 22*l. Factor o(g).
(g + 1)*(2*g + 5)/3
Suppose -4*f = 3*d - 16, 2*f - 4 - 10 = -3*d. Let a(c) be the second derivative of -2/3*c**3 + 0 + 1/6*c**d + 0*c**2 + c. What is t in a(t) = 0?
0, 2
Suppose -3*j = j. Let x(t) be the third derivative of j + 1/42*t**7 - 1/40*t**6 + 0*t**3 + 0*t + 3*t**2 - 1/12*t**5 - 1/24*t**4 + 1/84*t**8. Factor x(v).
v*(v - 1)*(v + 1)**2*(4*v + 1)
Let p(j) be the first derivative of 2/3*j**3 + 3/2*j**4 + 0*j**2 + 0*j + 6/5*j**5 - 2 + 1/3*j**6. Let p(d) = 0. Calculate d.
-1, 0
Let u(b) = 15*b**4 - 39*b**3 + 33*b**2 - 12*b + 3. Let t(c) = c**5 - 31*c**4 + 78*c**3 - 67*c**2 + 24*c - 5. Let g(x) = -3*t(x) - 5*u(x). Factor g(p).
-3*p*(p - 2)**2*(p - 1)**2
Let v(b) be the third derivative of -b**5/20 + 9*b**4/4 - 81*b**3/2 - 13*b**2. Determine s so that v(s) = 0.
9
Let y = 4 + -1. Suppose -2*n = 3*n + y*g - 9, -3*g = 2*n. Find r such that 8*r + 3 - 1 + 2*r**2 - 8*r**n - 4 = 0.
-1, 1/4, 1
Let m = 71/34 + -10/17. Find o such that -3/2*o**2 + m*o + 0 = 0.
0, 1
Let q(i) be the third derivative of -i**11/99792 + i**10/32400 - i**9/45360 - i**5/20 - i**2. Let w(d) be the third derivative of q(d). Factor w(j).
-2*j**3*(j - 1)*(5*j - 2)/3
Let -t**2 - 3*t**2 + 5 - t**2 = 0. Calculate t.
-1, 1
Let k(t) = -t**2 - 6*t - 4. Let s be k(-6). Let r = s + 5. Factor -z**3 + z**4 - 4*z + r + 4*z**2 - 3*z**3 + 2*z**2.
(z - 1)**4
Let x(q) be the first derivative of -2*q - 2 + 1/60*q**5 - 1/6*q**3 + 0*q**4 - 1/3*q**2. Let o(f) be the first derivative of x(f). Let o(z) = 0. Calculate z.
-1, 2
Let o(v) be the second derivative of v**4/48 - 7*v**3/24 - 4*v. Let o(j) = 0. What is j?
0, 7
Let k(r) be the third derivative of r**7/70 - r**6/120 - r**5/30 - 4*r**2. Factor k(s).
s**2*(s - 1)*(3*s + 2)
Let c(s) be the second derivative of 1/6*s**3 + 1/20*s**5 + 0 - 1/8*s**2 - 1/120*s**6 - 5*s - 1/8*s**4. Let c(t) = 0. Calculate t.
1
Factor -38/3*u**2 - 14/3*u**3 - 16/3*u + 8/3.
-2*(u + 1)*(u + 2)*(7*u - 2)/3
Determine c so that -3/5*c + 0 + 1/5*c**3 + 2/5*c**2 = 0.
-3, 0, 1
Let j = 170 + -679/4. Factor 0*w + 1/4*w**3 - 1/4*w**5 + j*w**4 - 1/4*w**2 + 0.
-w**2*(w - 1)**2*(w + 1)/4
Suppose 6*p - 52 = -3*i + 5*p, -p = 2*i - 34. Let n be 1/(4/i) + -4. What is q in -1/2*q**2 + q - n = 0?
1
Let x be (60/9 - 6) + (-14)/(-6). Factor -12/7*k**x - 26/7*k**2 - 2/7*k**4 - 8/7 - 24/7*k.
-2*(k + 1)**2*(k + 2)**2/7
Let w = -124 - -127. Factor -2*g + 2 - 3/2*g**2 + g**w + 1/2*g**4.
(g - 1)**2*(g + 2)**2/2
Let u(n) = n + 5. Let g be u(-2). Let c(q) be the first derivative of -1 - 2/5*q - 1/15*q**g - 3/10*q**2. Factor c(a).
-(a + 1)*(a + 2)/5
Let v(h) = h**4 + 5*h**3 + 4*h**2 - 5. Let n(m) = -m**4 - 6*m**3 - 5*m**2 + 6. Let z(o) = -5*n(o) - 6*v(o). Factor z(u).
-u**2*(u - 1)*(u + 1)
Let a(r) = -r**5 + r**4 - r**2 + r + 1. Let s(z) = 6*z**5 - 7*z**4 + 7*z**2 - 6*z - 5. Let n(q) = -5*a(q) - s(q). Determine y so that n(y) = 0.
-1, 0, 1
Let r(w) be the third derivative of -w**6/60 + w**4/12 + 8*w**2. Factor r(k).
-2*k*(k - 1)*(k + 1)
Factor -2/9*v + 0 - 2/9*v**2.
-2*v*(v + 1)/9
Let m(b) be the second derivative of b**4/24 - b**3/3 + 3*b**2/4 + 14*b. Solve m(q) = 0.
1, 3
Let f = 15 - 9. Suppose -f = -2*g - 0. Determine y, given that -g*y - 2*y - y**5 + 2*y**3 + 2*y**2 + 4*y - 1 - y**4 = 0.
-1, 1
Let 0 - 6*l**3 + 4*l**2 - 2/3*l + 8/3*l**4 = 0. Calculate l.
0, 1/4, 1
Suppose 5*y - 18 = -4*y. Solve 2/3*v**y + 2/3 + 4/3*v = 0 for v.
-1
Let u(p) be the third derivative of p**10/50400 - p**9/7560 + p**8/2880 - p**7/2520 + p**5/60 + p**2. Let y(w) be the third derivative of u(w). Factor y(o).
o*(o - 1)**2*(3*o - 2)
Let y = 299 + -3885/13. Factor y + 4/13*q + 2/13*q**2.
2*(q + 1)**2/13
Let k(g) be the first derivative of 0*g - 1 + 4/15*g**5 + g**4 - 4/9*g**3 - 2*g**2. Find n, given that k(n) = 0.
-3, -1, 0, 1
Let o(g) be the second derivative of g**6/105 + g**5/35 - g**4/14 - 8*g**3/21 - 4*g**2/7 + 23*g. Determine q, given that o(q) = 0.
-2, -1, 2
Let h be (-7)/(-10)*(-10)/(-70). Let f(b) be the first derivative of 2/5*b + 1/5*b**2 + 1 - h*b**4 - 2/15*b**3. Factor f(a).
-2*(a - 1)*(a + 1)**2/5
Suppose 2*y - 4 = -h, -3*h - 4*y - 3 = -11. Factor -3/5*o**3 + 3/5*o + 0*o**2 + h.
-3*o*(o - 1)*(o + 1)/5
Solve -6*b**2 + 6 - 5*b + 3*b - 2*b**3 + 0*b + 4*b = 0 for b.
-3, -1, 1
Let k(c) be the second derivative of 2*c**7/147 + 4*c**6/105 + c**5/35 + 4*c. Factor k(i).
4*i**3*(i + 1)**2/7
Let s(b) be the second derivative of -b**6/10 + 3*b**5/4 - 9*b**4/4 + 7*b**3/2 - 3*b**2 + 10*b. Suppose s(g) = 0. What is g?
1, 2
Let k(j) be the third derivative of 2*j**7/105 + j**6/15 - j**5/15 - j**4/3 + 17*j**2. Find x, given that k(x) = 0.
-2, -1, 0, 1
Let x(u) be the second derivative of 0 + 0*u**2 + 0*u**3 - 2/5*u**5 - 1/42*u**7 + u + 1/6*u**6 + 1/3*u**4. Factor x(c).
-c**2*(c - 2)**2*(c - 1)
Suppose 0 = 4*p - 4*t - 28, -2*t + 70 = -p + 6*p. Factor -2 + 9*z + 9*z**2 + p + 3*z**3 - 7.
3*(z + 1)**3
Let f(d) be the first derivative of -3/8*d**4 + 1/2*d**3 - 2*d**2 + 0*d + 3/20*d**5 + 1 - 1/40*d**6. Let q(p) be the second derivative of f(p). Factor q(a).
-3*(a - 1)**3
Let p be (-98)/(-6) + 12/(-9). Let m be p/(-10)*(-2 + 0). Find o such that 1/5*o + 1/5*o**2 - 1/5*o**4 - 1/5*o**m + 0 = 0.
-1, 0, 1
Suppose 8*u = 10*u + 2. Let g(t) = t**5 + t**4 - t + 1. Let v(i) = -2*i**5 + 4*i**4 + 6*i**3 - 6*i**2 - 4*i + 4. Let x(n) = u*g(n) + v(n). Factor x(p).
-3*(p - 1)**3*(p + 1)**2
Let q(z) be the second derivative of 1/4*z**3 - 2*z + 0 - 1/24*z**4 - 1/2*z**2. Factor q(x).
-(x - 2)*(x - 1)/2
Let g be -2 - (-9 + 6/(-3)). Let k = g + -6. Determine z so that -5*z**3 + 5*z**3 + 2*z**k = 0.
0
Let i be ((-12)/2)/(81/(-234)). Let s = i + -17. Factor -s*p**2 + 1/3*p + 0.
-p*(p - 1)/3
Let x(q) be the first derivative of -4*q**5/35 + 2*q**4/7 + 4*q**3/7 + 9. Factor x(g).
-4*g**2*(g - 3)*(g + 1)/7
Factor -1/5*t**4 - 16/5*t**2 + 0*t + 0 - 8/5*t**3.
-t**2*(t + 4)**2/5
Let k(n) be the third derivative of n**5/36 - 35*n**4/72 + 10*n**3/3 - 15*n**2 - n. Find m, given that k(m) = 0.
3, 4
Factor 0*i**4 - 4*i**4 - 39*i - 36 - 39*i - 18*i**3 + 2*i**4 - 58*i**2.
-2*(i + 1)*(i + 2)*(i + 3)**2
Let a(z) = z**2 + 24*z - 23. Let k be a(-25). Let s(h) be the first derivative of 0*h + 3 + 1/6*h**4 + 0*h**3 - 1/3*h**k. Factor s(b).
2*b*(b - 1)*(b + 1)/3
Let j = -1363/7 + 195. Factor 0*g + 0 + 2/7*g**3 - j*g**5 - 2/7*g**2 + 2/7*g**4.
-2*g**2*(g - 1)**2*(g + 1)/7
Let g(r) = -5*r**5 - 3*r**4 + 22*r**3 + 4*r**2 - 17*r + 9. Let u(s) = -s**3 - s**2 + s - 1. Let x(n) = -g(n) - 5*u(n). Let x(y) = 0. Calculate y.
-2, -1, 2/5, 1
Let z(t) be the first derivative of t**4/2 - 2*t**3/9 + 15. Factor z(g).
2*g**2*(3*g - 1)/3
Let r = -18 - -13. Let h = r - -8. Factor -4*c**3 + 3*c - 2*c + 3*c**h.
-c*(c - 1)*(c + 1)
Let u(s) = s**2 + 7*s + 5. Let z be u(-5). Let t = 8 + z. Factor -4*i**4 - t*i**3 + 3*i**4 + 4*i**3.
-i**3*(i - 1)
Let k(v) = -4*v**2 + 16*v - 4. Let m(s) = -s + 1. Let l(i) = k(i) + 4*m(i). Determine r so that l(r) = 0.
0, 3
Let z = 124 + -245/2. Factor 1/2*p**4 - z*p**3 + 3/2*p**2 - 1/2*p + 0.
p*(p - 1)**3/2
Le