3 - 1. Let x(k) be the third derivative of j(k). Factor x(c).
2*c**2*(c - 1)**2*(c + 1)/11
Solve -6*t**3 - 16*t**2 + 6*t**4 + 6*t + 2*t + 4*t**4 + 4*t**5 = 0.
-2, 0, 1/2, 1
Let n(v) be the second derivative of v**7/21 + v**6/15 + v**5/40 + 16*v. Factor n(p).
p**3*(2*p + 1)**2/2
Let l be ((-1)/3)/(21/9). Let n = l + 9/14. Factor 3/2*b**4 + 0 - 1/2*b**5 + 0*b - 3/2*b**3 + n*b**2.
-b**2*(b - 1)**3/2
Let n = -4103/18 + 228. Let b(c) be the third derivative of 1/90*c**5 - n*c**4 + 0*c**3 + 1/60*c**6 + c**2 + 0 + 0*c. Determine s so that b(s) = 0.
-1, 0, 2/3
Let n(d) = d + 6. Let q(p) = -p**3 - 2*p**2 + 5*p + 3. Let h be q(-3). Let t be n(h). Factor 1/4*v**4 + 0*v**t + 0*v + 0 - 1/4*v**5 + 0*v**2.
-v**4*(v - 1)/4
Factor 0*p + 1/4*p**2 - 1.
(p - 2)*(p + 2)/4
Suppose y + 8 = -2. Let x be 2/y - (-63)/140. Let 0*l**2 + 0 - 1/4*l**3 + x*l = 0. Calculate l.
-1, 0, 1
Let l(u) be the second derivative of 0 - 9*u + 1/3*u**4 - 2*u**2 + 0*u**3. Solve l(v) = 0 for v.
-1, 1
Let d(n) be the first derivative of -1/6*n**4 - 1/30*n**5 - n**2 - 1/3*n**3 + 0*n - 1. Let u(x) be the second derivative of d(x). Determine q so that u(q) = 0.
-1
Let i(n) be the third derivative of n**5/120 - n**4/24 - 7*n**2. Factor i(y).
y*(y - 2)/2
Solve -3/5*u**2 + 0 - 24/5*u = 0 for u.
-8, 0
Let d(i) be the first derivative of -1/11*i**2 - 3/22*i**4 + 0*i - 2/11*i**3 + 1 - 2/55*i**5. Solve d(f) = 0.
-1, 0
Suppose 2*z = -1 + 9. Let u be (1 - -1) + (-6)/z. Suppose -o**4 + o**2 + 0*o**3 + 0 - u*o**5 + 1/2*o = 0. Calculate o.
-1, 0, 1
Let j(m) be the third derivative of m**5/75 - 2*m**3/15 - 26*m**2. Solve j(t) = 0.
-1, 1
Let o(h) be the second derivative of h**5/170 + h**4/102 - h**3/51 - h**2/17 - 15*h. Let o(c) = 0. What is c?
-1, 1
Suppose -5*b + 48 = 28. Let g(t) be the second derivative of -1/78*t**b + t + 0 - 2/39*t**3 + 0*t**2. Determine i, given that g(i) = 0.
-2, 0
Suppose -3/2*l**2 + 0 + 0*l - 3*l**3 - 3/2*l**4 = 0. Calculate l.
-1, 0
Let o = 9 + -5. Factor -3 - 5 + 0 + 2*i**5 - 2*i**2 - 16*i - o*i**5 + 10*i**3 + 2*i**4.
-2*(i - 2)**2*(i + 1)**3
Let x = 5 - 10. Let d be (-20)/8*8/x. Let -3 - a**d + 2 + 0*a**4 + 2*a**2 = 0. Calculate a.
-1, 1
Let d = 6 - 3. Solve 2 - 4 - 2*k + 2*k**d + 2*k**2 + 0*k = 0.
-1, 1
Let w = 53/2 - 26. Determine m so that -1/2*m**2 + w + 0*m = 0.
-1, 1
Let n(m) be the third derivative of -m**9/181440 + m**8/60480 + m**5/30 + 2*m**2. Let f(r) be the third derivative of n(r). Factor f(g).
-g**2*(g - 1)/3
Factor 31*i**2 - 49*i**4 + 21*i**2 + 5*i + 70*i**3 + 3*i.
-i*(i - 2)*(7*i + 2)**2
Let s(y) be the second derivative of -y**4/3 + 2*y**2 - 9*y. Solve s(k) = 0 for k.
-1, 1
Let p(j) be the second derivative of -j**7/7560 - j**6/2160 - j**4/2 - 4*j. Let n(b) be the third derivative of p(b). Factor n(q).
-q*(q + 1)/3
Let o(y) = -11*y**4 + 19*y**3 - 39*y**2 + 35*y - 10. Let p(u) = u**4 + u**3 - u**2. Let d(z) = o(z) + 6*p(z). Factor d(v).
-5*(v - 2)*(v - 1)**3
Let d = -4 + 9. Determine h, given that 9/5*h**2 - 9/5*h**4 + 3/5*h + 12/5*h**d + 0 - 3*h**3 = 0.
-1, -1/4, 0, 1
Let m(b) be the third derivative of b**5/12 + 11*b**4/12 + 4*b**3/3 - 2*b**2 + 2. Factor m(y).
(y + 4)*(5*y + 2)
Let i be (-5 - 2655/(-441))*7. What is m in 32/7*m - 8/7 - i*m**2 + 38/7*m**3 - 2*m**4 + 2/7*m**5 = 0?
1, 2
Determine a so that -3*a - 12*a - 601 + 601 - 3*a**3 - 18*a**2 = 0.
-5, -1, 0
Let p(z) be the third derivative of z**8/1512 - z**7/189 + z**6/60 - 7*z**5/270 + z**4/54 + z**2. Determine x, given that p(x) = 0.
0, 1, 2
Let d be 6 - -4*15/(-20). Suppose 1/2*u**d + 3/2*u - 3/2*u**2 - 1/2 = 0. Calculate u.
1
Suppose 4*c + c = s + 37, -5*s = 4*c + 40. Let r be (-19)/5 - (s - -8). Determine i so that 1/5*i**2 - r*i**4 - 1/5*i + 0 + 1/5*i**3 = 0.
-1, 0, 1
Let q(c) be the second derivative of -49*c**4/54 + 14*c**3/27 - c**2/9 - 5*c. Determine a, given that q(a) = 0.
1/7
Let i(z) be the second derivative of -z**8/112 - 3*z**2/2 - 5*z. Let o(h) be the first derivative of i(h). Factor o(d).
-3*d**5
Solve 0 - 2/3*w**4 + 0*w**3 - 2/3*w**5 + 0*w + 0*w**2 = 0 for w.
-1, 0
Factor -1/6*b**4 + 0 + 1/6*b**2 + 1/2*b**3 - 1/2*b.
-b*(b - 3)*(b - 1)*(b + 1)/6
Let f(n) = -2*n**3 - 6*n**2 + n - 5. Let z(m) be the first derivative of -m**2/2 + m - 1. Let v(b) = f(b) + 5*z(b). Factor v(t).
-2*t*(t + 1)*(t + 2)
Let o(d) = -2*d - 1. Let s be o(-2). Suppose -4*i + s*i + 3 = 0. Let 0*k**2 + 0*k + 1/5*k**4 - 1/5*k**i + 0 = 0. Calculate k.
0, 1
Determine z so that 13*z**3 - 4*z**2 - 15*z**3 - z**4 + 3*z**2 + 0*z**4 = 0.
-1, 0
Let q(w) = 2*w**5 - 11*w**4 + 9*w**3 - 5. Let i(r) = r**5 - 5*r**4 + 4*r**3 - 2. Let l(d) = 5*i(d) - 2*q(d). Factor l(a).
a**3*(a - 2)*(a - 1)
Let f be 448/441 + (-12)/21. Factor 0*m + 0 + 2/9*m**2 + 2/9*m**4 + f*m**3.
2*m**2*(m + 1)**2/9
Let f(h) = -3*h**2 - 3*h. Let m(u) = u. Let p(a) = -f(a) - 3*m(a). Factor p(k).
3*k**2
Determine o so that 27/4*o + 3/4*o**2 + 0 = 0.
-9, 0
Let v(a) be the first derivative of 1/10*a**4 + 8/15*a**3 + a**2 + 4/5*a + 3. Determine c, given that v(c) = 0.
-2, -1
Let n = 348 - 345. Let -2/7 - 2/7*k**n + 2/7*k + 2/7*k**2 = 0. What is k?
-1, 1
Let a(f) be the first derivative of -1/10*f**5 - 1/2*f**2 + 1/2*f + 0*f**3 + 2 + 1/4*f**4. Let a(q) = 0. What is q?
-1, 1
Suppose -4*r = 5 - 21. Suppose 4*p + r*l = 0, -l = p - 5*l - 20. Find z such that -z**3 - 2*z - p*z**2 + 0*z**2 - 2*z = 0.
-2, 0
Let c(b) = -b**3 + 3*b**2 + 2*b - 1. Let t be c(3). Let d(i) = -i**2 - 8*i + 10. Let q be d(-9). Factor -q - f - f**2 - 2*f + t*f.
-(f - 1)**2
Let w(g) be the second derivative of -g**4/4 + g**3 - 3*g**2/2 + 2*g. Let w(l) = 0. What is l?
1
Let b(a) be the third derivative of a**5/10 - 3*a**4/8 - a**3 - 38*a**2. Find u such that b(u) = 0.
-1/2, 2
Suppose 27 = 3*j - 3*h, 2*h + 4 = 5*j - 26. What is r in 2*r**2 - r**2 - 5*r**3 - r**4 + j*r**3 + r = 0?
-1, 0, 1
Let h(i) = -13*i + 106. Let y be h(8). Factor 1/3*l**y + l + 2/3.
(l + 1)*(l + 2)/3
Let b be 3/(-1) + (-41)/(-2). Let c = 18 - b. Let 1/2*a**3 + c*a**2 + 0 + 0*a = 0. What is a?
-1, 0
Let y = -424 - -2972/7. Factor 2/7 + 2/7*h**2 - y*h.
2*(h - 1)**2/7
Let f(l) = -16 + 27 + 18*l**2 - 8 - 27*l. Let n = 7 + -4. Let h(i) = 19*i**2 - 27*i + 4. Let w(x) = n*h(x) - 2*f(x). Factor w(z).
3*(z - 1)*(7*z - 2)
Let o be 1/4 - 33/(-44). Suppose 4*c - 13 + o = 0. Factor -74/7*w**c - 40/7*w**2 - 18/7*w**5 - 60/7*w**4 - 8/7*w + 0.
-2*w*(w + 1)**2*(3*w + 2)**2/7
Suppose -2*d - 3 + 1 = -2*s, -13 = -2*d - s. Suppose d*m + 4*k = -m + 27, 0 = -3*k + 9. Suppose 4/9*g**2 - 2/3*g**m + 0*g + 2/9*g**4 + 0 = 0. Calculate g.
0, 1, 2
Let o(n) be the third derivative of 1/30*n**5 - 1/6*n**4 + 0*n**3 + 0*n + 0 - 7*n**2. Factor o(g).
2*g*(g - 2)
Let a = 5 - 0. Suppose -3*x = a*z + 13, 0 = -2*x - 5*z - 0*z - 17. Determine t so that -15/4*t**x + 31/4*t**3 + 5/2*t**2 - 7*t + 2 = 0.
-1, 2/5, 2/3, 2
Suppose 0*u**4 + 4*u**3 + 4*u**2 - 6*u - 4*u**4 + 2*u = 0. Calculate u.
-1, 0, 1
Let d = -13 + 21. Let s = 55 - 53. Determine f so that 77/4*f**s + 1 - d*f - 49/4*f**3 = 0.
2/7, 1
Suppose 0 = -7*b + 2*b + 5. Let i = 4 + b. Let -5/2*c**3 - 5/2*c**2 - 5/4*c - 5/4*c**4 - 1/4 - 1/4*c**i = 0. What is c?
-1
Factor 5*h**2 + 2 - 4*h + h**4 + 4*h**2 + 11*h + 5*h**3.
(h + 1)**3*(h + 2)
Let d(l) be the second derivative of -l**6/240 + l**5/120 - 3*l**2/2 - l. Let g(b) be the first derivative of d(b). Solve g(j) = 0.
0, 1
Factor -13*a + 6*a - 3 + 2 - 3*a - 25*a**2.
-(5*a + 1)**2
Suppose 2*o = o + 6. Let w be 32/(-20) - o/(-10). Let c(m) = -m**2 + m. Let i(f) = -f**3 + 2*f**2 + f. Let h(l) = w*c(l) - i(l). Factor h(n).
n*(n - 2)*(n + 1)
Suppose 2 - 22 = -5*p. Let d(k) be the second derivative of 5/18*k**p + 1/9*k**3 + 1/10*k**5 - 1/3*k**2 + 2*k + 0. Solve d(v) = 0.
-1, 1/3
Let i = 139/3 + -45. Factor 0 + 4/3*v**4 - i*v**2 - 1/3*v**3 + 1/3*v.
v*(v - 1)*(v + 1)*(4*v - 1)/3
Let q(k) = 7*k**2 + 9*k + 7. Let b(v) = -8*v**2 - 10*v - 8. Let f(l) = l - 1. Let g be f(-5). Let t(j) = g*q(j) - 5*b(j). Factor t(x).
-2*(x + 1)**2
Let g(t) = -t**2 + 3*t + 6. Let z be g(5). Let y = z + 7. Factor -y*c**4 + c - 6*c**2 - 4*c**3 - 5*c + 2*c**4 - 1.
-(c + 1)**4
Let i(v) be the third derivative of 3/80*v**5 + 4*v**2 + 0*v + 1/16*v**4 + 0*v**3 - 3/32*v**6 + 0 - 15/448*v**8 - 31/280*v**7. Let i(h) = 0. What is h?
-1, -2/5, 0, 1/3
Let r(q) be the second derivative of -q**9/2520 - q**8/448 - q**7/2