cond derivative of m**4/6 - 4*m**3/3 + 4*m**2 - 2*m. Suppose c(p) = 0. Calculate p.
2
Let o(u) be the third derivative of u**8/10080 + u**7/420 + u**6/40 + u**5/15 - 3*u**2. Let n(j) be the third derivative of o(j). Factor n(b).
2*(b + 3)**2
Let -8*a**4 - 3*a**4 + 8*a**3 - 6*a**4 - 2*a**4 - a**2 + 12*a**5 = 0. What is a?
0, 1/4, 1/3, 1
Determine y, given that 2*y**3 + 2595*y**2 - y - y**5 - 2595*y**2 = 0.
-1, 0, 1
Let t(p) be the third derivative of -p**9/37800 + p**7/6300 - p**4/12 + 2*p**2. Let j(b) be the second derivative of t(b). Factor j(r).
-2*r**2*(r - 1)*(r + 1)/5
Let x be (-12)/(-21) - (-258)/14. Let c = x - 15. Suppose -1/3*d**c - 1/3*d**2 + d - d**3 + 2/3 = 0. What is d?
-2, -1, 1
Let a = -14 + 19. Let o = a - 1. Suppose -3/2*u**o + 0 + 4*u**3 - 7/2*u**2 + u = 0. Calculate u.
0, 2/3, 1
Let w(m) be the third derivative of -m**6/480 - m**5/240 + m**4/96 + m**3/24 - 5*m**2. Factor w(h).
-(h - 1)*(h + 1)**2/4
Suppose -3*l**2 - 59 - 11 - 42*l - 61 - 16 = 0. What is l?
-7
Let r(u) be the first derivative of u**5/100 + u**4/60 - u**3/30 - u**2/10 + 2*u - 2. Let p(o) be the first derivative of r(o). Let p(b) = 0. What is b?
-1, 1
What is m in 0*m**3 + 2/5*m**4 + 0*m + 0 - 2/5*m**2 = 0?
-1, 0, 1
Let d = -3 + 9. Let z(g) be the third derivative of 0*g - 1/96*g**4 - 1/240*g**5 + 1/24*g**3 - g**2 + 0 + 1/480*g**d. Determine q so that z(q) = 0.
-1, 1
Let u(s) be the second derivative of -s**5/70 - s**4/14 + 4*s**2/7 + 8*s. Factor u(m).
-2*(m - 1)*(m + 2)**2/7
Let z(n) be the second derivative of -n**4/6 - n**3/3 + 2*n**2 + 9*n. Find j, given that z(j) = 0.
-2, 1
Let y(k) = -3*k**4 - 13*k**3 + 3*k**2 + 8*k - 5. Let h(x) = 4*x**4 + 20*x**3 - 4*x**2 - 12*x + 8. Let g(b) = -5*h(b) - 8*y(b). Factor g(z).
4*z*(z - 1)*(z + 1)**2
Suppose -2*q = -7*q - 3*p + 6, q - 2*p = -4. Find x, given that -2/7*x**3 + q*x - 8/7 + 6/7*x**2 = 0.
-1, 2
Let w(u) be the second derivative of -5*u**7/7 + 4*u**6/15 + 19*u**5/10 - 2*u**4/3 - 4*u**3/3 + 8*u. Suppose w(k) = 0. What is k?
-1, -2/5, 0, 2/3, 1
Let 3/5*b + 2/5 - 1/5*b**3 + 0*b**2 = 0. Calculate b.
-1, 2
Let r(c) be the third derivative of 0*c + 0 + 6*c**2 - 1/33*c**4 + 1/33*c**3 + 2/165*c**5. Factor r(v).
2*(2*v - 1)**2/11
Let m be 70/(-90)*(-2)/7. Let b(r) be the second derivative of -m*r**4 + 2*r - 1/9*r**3 - 1/63*r**7 + 0*r**2 - 1/5*r**5 - 4/45*r**6 + 0. Factor b(p).
-2*p*(p + 1)**4/3
Let -6/5 - 1/5*r**2 - 7/5*r = 0. Calculate r.
-6, -1
Factor 3/5*k**4 - 6/5*k + 3/5*k**5 + 0 - 9/5*k**3 - 3*k**2.
3*k*(k - 2)*(k + 1)**3/5
Let c = 24 + -21. Let v(z) be the second derivative of 0*z**c + 0 + 1/105*z**6 - 1/70*z**5 + 0*z**2 - z + 0*z**4. Factor v(k).
2*k**3*(k - 1)/7
Let m = 42 + -40. Let q(k) be the third derivative of 2/105*k**5 + 1/84*k**6 + 2/735*k**7 + 0*k**3 + 1/84*k**4 + 0 + 0*k - 2*k**m. Find y such that q(y) = 0.
-1, -1/2, 0
Let j = -14 + 16. Let s(u) be the first derivative of 0*u + 7/2*u**4 - 10/3*u**3 - 2*u**j - 1. Let s(m) = 0. What is m?
-2/7, 0, 1
Let l be (-4)/(-34) - (-362)/102. Let v = -13/6 + l. Find m such that 3/2*m**2 + 0*m - v = 0.
-1, 1
Let v(o) be the third derivative of -o**9/90720 + o**8/7560 - o**7/1512 + o**6/540 - o**5/30 + 3*o**2. Let y(w) be the third derivative of v(w). Factor y(t).
-2*(t - 2)*(t - 1)**2/3
Let u(c) be the third derivative of c**7/70 - c**6/24 - c**5/20 + 5*c**4/24 + 17*c**2. Factor u(s).
s*(s - 1)*(s + 1)*(3*s - 5)
Let a(q) be the first derivative of -2/5*q - 1/20*q**4 - 2 - 1/2*q**2 - 4/15*q**3. Find g such that a(g) = 0.
-2, -1
Let f be (7/3 - 3)*-3. Factor 5*q**5 + 7*q**4 - 3*q - q + f*q - 3*q**3 - 7*q**2.
q*(q - 1)*(q + 1)**2*(5*q + 2)
Let d(j) be the first derivative of j**4 - 8*j**3/3 - 10*j**2 + 24*j - 28. Solve d(k) = 0.
-2, 1, 3
Suppose -4*o + 24 = 5*c + 25, 20 = 4*c - 2*o. Factor 2/5*y**4 + 0*y + 0*y**c + 0*y**2 + 0.
2*y**4/5
Suppose -7*j + 4 = -3*j. Suppose -j - 14 = -5*q. Factor -4/5*l**q + 6/5*l**4 - 4/5*l**2 + 6/5*l - 2/5*l**5 - 2/5.
-2*(l - 1)**4*(l + 1)/5
Let b(l) be the first derivative of 5*l**2/2 - 13*l + 6. Let f be b(3). Let 4/5*j**4 + 0*j + 0 - 6/5*j**3 + 2/5*j**f = 0. What is j?
0, 1/2, 1
Let h be -1 + -2 - (-12 + 5). Let j = -62 + 62. Determine y, given that 0*y - 1/3*y**2 - 1/3*y**3 + 1/3*y**5 + j + 1/3*y**h = 0.
-1, 0, 1
Find u, given that -23*u - 4 + 13*u + 12*u + 2*u**2 = 0.
-2, 1
Let a = 42/5 - 121/15. Let r = 1 - 1. Factor r*n**2 + 1/3*n**3 + 0 - a*n.
n*(n - 1)*(n + 1)/3
Let n(z) = 2*z**4 + 5*z**3 - 9*z**2 + 2*z. Let b(l) = l**4 + 2*l**3 - 4*l**2 + l. Let u(c) = 7*b(c) - 3*n(c). What is p in u(p) = 0?
-1, 0, 1
Let p(y) be the third derivative of -y**7/210 + y**6/120 + y**5/60 - y**4/24 - 3*y**2. Solve p(x) = 0.
-1, 0, 1
Let b(f) be the first derivative of -f**6/660 + f**5/110 - f**4/44 + f**3/33 + f**2 - 6. Let v(m) be the second derivative of b(m). Factor v(u).
-2*(u - 1)**3/11
Let g(m) = -m + 5. Let c be g(3). Suppose -c*y**4 + 6*y**3 - 5*y**2 - 6*y**2 + 2*y + 5*y**2 = 0. Calculate y.
0, 1
Let -2/11*c**2 - 2/11*c + 4/11 = 0. What is c?
-2, 1
Let p(c) be the second derivative of 1/27*c**3 + 0 - 3*c + 1/54*c**4 + 0*c**2. Factor p(o).
2*o*(o + 1)/9
Let g(y) be the third derivative of -y**5/140 - 3*y**4/56 + y**2. Factor g(f).
-3*f*(f + 3)/7
Let l(w) = -w - 5*w**2 - 1 + 0 - w - 3. Let k(t) = 6*t**2 + 2*t + 5. Let a(x) = -4*k(x) - 5*l(x). Solve a(u) = 0.
-2, 0
Let i(a) be the third derivative of a**5/150 + a**4/10 + 3*a**3/5 + 4*a**2. Factor i(u).
2*(u + 3)**2/5
Suppose 0*j + 8 = 2*j, 3*k - 5*j + 8 = 0. Let l = 8 - 6. Find y such that 5*y**2 - 2 - 3*y + y**3 - l*y + k*y - 3*y**4 = 0.
-1, -2/3, 1
Factor -1/3*d**2 - 4/3 - 4/3*d.
-(d + 2)**2/3
Let k(t) be the third derivative of -t**5/120 + t**4/16 - t**3/6 - 4*t**2. Factor k(y).
-(y - 2)*(y - 1)/2
Let m be 18/10 + (-4)/(-20). Factor -3*n**4 - 3*n**4 - 3*n**5 + n**m - n**3 + n**4.
-n**2*(n + 1)**2*(3*n - 1)
Let n(q) = 5*q**4 + 4*q**3 - q**2 + 11. Let x(t) = t**4 + t**3 + 2. Let l(c) = -2*n(c) + 11*x(c). Factor l(k).
k**2*(k + 1)*(k + 2)
Solve -3/7*a**3 - 33/7*a - 18/7*a**2 - 18/7 = 0 for a.
-3, -2, -1
Let r = -186 - -190. Let h(t) be the second derivative of 1/3*t**r + t**2 - 5/6*t**3 - 1/20*t**5 - 2*t + 0. Determine c, given that h(c) = 0.
1, 2
Factor 23*s - 3*s + 55 - 5 + 2*s**2.
2*(s + 5)**2
Suppose -4*a + 8*a**3 - 2*a**3 - 2*a**3 - 4 + 4*a**2 = 0. What is a?
-1, 1
Let p(x) be the second derivative of -2/39*x**3 + 0 - 2*x - 1/78*x**4 + 0*x**2. Factor p(u).
-2*u*(u + 2)/13
Let q(u) be the second derivative of -u**4/12 + u**2/2 - 6*u. Factor q(j).
-(j - 1)*(j + 1)
Suppose 2*z - 10 = 4*z. Let k(w) = w**2 + 6*w + 7. Let p be k(z). Factor -4*x**2 + x**p + 4*x**2.
x**2
Let x(a) be the second derivative of -a**7/630 + 2*a**6/135 - a**5/18 + a**4/9 - 3*a**3/2 + 4*a. Let b(u) be the second derivative of x(u). Factor b(v).
-4*(v - 2)*(v - 1)**2/3
Let f(r) = r**3 + 4*r**2 - 4. Let v be f(-2). Suppose 26/3*y**3 + 2/3*y**5 + 8/3*y + 8*y**2 + v*y**4 + 0 = 0. Calculate y.
-2, -1, 0
Let k = -47 + 142/3. Factor j**2 + k - 1/3*j**3 - j.
-(j - 1)**3/3
Let t be (-22)/99 - (-100)/18. Determine n so that -10/3*n**4 + 0 - 2/3*n**2 + t*n**3 - 4/3*n = 0.
-2/5, 0, 1
Suppose -4*p - 4*t = -28, -p + 2*t = 7*t - 27. Suppose -3*a + 4 + p = 0. Solve -5/2*z**5 + z**4 - a*z + 0 + 15/2*z**3 + 2*z**2 = 0 for z.
-1, 0, 2/5, 2
Let z(c) = -3*c**2 + 11*c - 3. Let h(o) = -o**2 + o + 1. Let x(b) = 10*h(b) - 2*z(b). Factor x(g).
-4*(g - 1)*(g + 4)
Let h be -3*(-1 + 0)*6. Let j be (-30)/h*(-4)/10. Let 1/3*u - j + u**2 = 0. Calculate u.
-1, 2/3
Let y(c) = -10*c**3 + 9*c**2 + 9*c. Let w = -8 + 10. Let k(a) = -a**3 + a**2 + a. Let f be (-4)/(-14) - 384/21. Let h(i) = f*k(i) + w*y(i). Factor h(m).
-2*m**3
Suppose -4/9*x**2 + 8/9 + 4/9*x = 0. What is x?
-1, 2
Let f = 8874/7777 + 2/1111. Factor -8/7 + f*z - 2/7*z**2.
-2*(z - 2)**2/7
Suppose 3*f = -2*f + 90. Factor 19*v + 7 + f*v**3 + 1 + 42*v**2 + 13*v.
2*(v + 1)*(3*v + 2)**2
Let m(r) be the first derivative of -2*r**5/35 + 8*r**3/21 - 34. Solve m(g) = 0 for g.
-2, 0, 2
Let t(m) be the second derivative of 1/60*m**5 + 0 + 2/9*m**3 + 1/9*m**4 + 2*m + 0*m**2. Factor t(h).
h*(h + 2)**2/3
Let z(t) = -7*t**2 - 2*t**3 + 3*t**3 - 5*t + 8 - 2*t**3. Let q be z(-6). Factor -6*c**4 - 4*c**3 - 2*c - 2*c**5 + c**q + 8*c + 3*c**2 + 2.
-2*(c - 1)*(c + 1)**4
Factor -6/5 - 1/5*l + 1/5*l**2.
(l - 3)*(l 