 - 6.
-3*(f + 1)*(f + 2)
Let h(q) = 3*q**2 + 8*q + 11. Let u(w) = w**2 + 3*w + 4. Let p(z) = 4*h(z) - 11*u(z). Find j such that p(j) = 0.
0, 1
Let a(p) be the third derivative of 0*p - 1/30*p**5 + 0*p**4 + 0 - 1/105*p**7 + 0*p**3 + 1/30*p**6 - 3*p**2. Factor a(v).
-2*v**2*(v - 1)**2
Let a(n) = 20*n - 58. Let i be a(3). Determine l so that 0*l**3 - 2/3*l**4 + i*l**2 + 0 + 4/3*l = 0.
-1, 0, 2
Let n(g) be the third derivative of g**8/1176 + 4*g**7/735 + g**6/70 + 2*g**5/105 + g**4/84 + 11*g**2. Suppose n(o) = 0. Calculate o.
-1, 0
Factor 2/9*a**4 + 0*a - 4/9*a**2 + 0 + 2/9*a**3.
2*a**2*(a - 1)*(a + 2)/9
Let f = 30/7 + -4. Solve 2/7 - 2/7*w**2 + 2/7*w - f*w**3 = 0 for w.
-1, 1
Let b(a) = a**2 - 6*a - 7. Let r be b(6). Let f = -5 - r. Factor 2/5*j**f + 0 - 2/5*j**3 + 4/5*j.
-2*j*(j - 2)*(j + 1)/5
Let z = 53/3 + -17. Let r(w) be the first derivative of -8*w + 1 - z*w**3 - 4*w**2. Suppose r(f) = 0. Calculate f.
-2
Solve v**3 - 5*v**2 + 6*v**2 - 3*v**2 = 0 for v.
0, 2
Let h(s) = -s**2 - 8*s**2 + 22*s**3 + 3*s**2 + 16. Let q(i) = -2*i**2 + i**3 + 5 - i**3 + 7*i**3. Let t(o) = -5*h(o) + 16*q(o). Find k, given that t(k) = 0.
0, 1
Suppose 15/2*z + 9/2*z**3 + 21/2*z**2 + 3/2 = 0. What is z?
-1, -1/3
Let d be (11 + (1 - 9))*(-2)/(-9). Factor -4/3*u**3 + 8/3*u - 2*u**2 + 8/3 + d*u**4.
2*(u - 2)**2*(u + 1)**2/3
Let w(l) be the third derivative of l**8/30240 + l**7/7560 - l**5/20 - 5*l**2. Let t(r) be the third derivative of w(r). Factor t(y).
2*y*(y + 1)/3
Let z(t) be the first derivative of 2*t**3/33 + 10*t**2/11 + 18*t/11 + 50. Find g such that z(g) = 0.
-9, -1
Let c = 1/60 - -1/15. Let r(p) be the third derivative of 0*p + p**2 + c*p**3 - 1/240*p**5 + 0 + 1/96*p**4. Factor r(h).
-(h - 2)*(h + 1)/4
Let y(a) be the first derivative of -a**4/10 - 8*a**3/15 - a**2 - 4*a/5 + 6. Factor y(z).
-2*(z + 1)**2*(z + 2)/5
Let r be (-12)/18*(-4 - -1). Let -q**r + q**2 + 2*q**4 + 0*q**2 - 4*q**2 - 2*q**3 = 0. What is q?
-1, 0, 2
Let f(d) be the third derivative of d**7/70 + d**6/10 - 3*d**5/20 - 9*d**4/4 - 43*d**2. Determine m so that f(m) = 0.
-3, 0, 2
Factor -3*n**2 + 61 - 28 + 3*n**3 - 33.
3*n**2*(n - 1)
Let c(f) be the second derivative of -f**5/90 + f**4/18 - 4*f**2/9 - 34*f. Suppose c(a) = 0. What is a?
-1, 2
Let c(m) = m + 7. Let n = -7 + 0. Let x be c(n). Factor x + 2/5*k**3 + 0*k - 1/5*k**2 - 1/5*k**4.
-k**2*(k - 1)**2/5
Let o(c) be the third derivative of c**2 - 1/224*c**8 + 0 + 0*c - 1/60*c**5 + 1/420*c**7 + 1/40*c**6 + 1/12*c**3 - 1/16*c**4. What is f in o(f) = 0?
-1, 1/3, 1
Let m(a) = -a - 2. Let j be m(-11). Let f be 3/9*1*j. Solve 5*r**2 - 2*r - 3*r**f + 2*r - 9*r - 3 - 14*r**2 = 0 for r.
-1
Suppose -3*c + 1 = -14. Factor 3*x**4 + 0*x**2 + 2*x**5 + 5*x**2 + 3*x**3 - 4*x**2 - x**c.
x**2*(x + 1)**3
Factor 84/23*p**2 + 26/23 - 32/23*p**3 - 80/23*p + 2/23*p**4.
2*(p - 13)*(p - 1)**3/23
Suppose 6*u + 4*u - 30 = 0. Factor 0 - 2/3*f**u + 2*f**2 - 4/3*f.
-2*f*(f - 2)*(f - 1)/3
Suppose 12*u - 16 = 20. Factor -2/3*g**u - 2/3 + 2/3*g + 2/3*g**2.
-2*(g - 1)**2*(g + 1)/3
Let n(u) be the first derivative of 3/2*u**4 + 3*u - 3/2*u**2 + 3/5*u**5 - 1/2*u**6 + 7 - 2*u**3. Factor n(j).
-3*(j - 1)**3*(j + 1)**2
Let p(q) be the third derivative of -1/600*q**6 + 0 + 1/120*q**4 - 1/30*q**3 - 2*q**2 + 0*q + 1/300*q**5. Factor p(g).
-(g - 1)**2*(g + 1)/5
Let l(o) be the first derivative of 28*o**5/5 + 37*o**4 + 88*o**3 + 88*o**2 + 32*o - 32. What is c in l(c) = 0?
-2, -1, -2/7
Let m(c) be the second derivative of -c**10/10080 - c**9/5040 + c**8/2240 + c**7/840 - 5*c**4/12 + 7*c. Let t(f) be the third derivative of m(f). Factor t(k).
-3*k**2*(k - 1)*(k + 1)**2
Factor -9*s + 8*s**4 + 18*s - 8*s**2 + 4*s**5 - 13*s.
4*s*(s - 1)*(s + 1)**3
Let m(o) be the second derivative of 7*o**6/10 - 11*o**5/10 - 3*o**4 - 4*o**3/3 - 16*o. Determine w, given that m(w) = 0.
-2/3, -2/7, 0, 2
Suppose -7*o = -4*o - 9. Suppose -2*u + 23 - o = 0. Find m such that -3*m**4 + 40*m**2 + u*m + 63*m**4 + 74*m**3 + 18*m**5 - 2*m = 0.
-1, -2/3, 0
Solve 4*n**2 - 3*n + 3*n**2 + 4 - 3*n**2 + 11*n = 0 for n.
-1
Let c(v) be the first derivative of -v**4/14 + 16*v**3/21 - v**2 + 23. Factor c(z).
-2*z*(z - 7)*(z - 1)/7
Let y(z) = -2*z**2 - 5*z - 8. Let c(n) = -3*n**2 - 6*n - 9. Let i(w) = 5*c(w) - 6*y(w). Factor i(k).
-3*(k - 1)*(k + 1)
Suppose 5*c + 5*r = -30, -2*r = -4*c - 37 - 5. Let g(b) = -b**3 - 10*b**2 - 9*b + 2. Let i be g(c). Solve 1/3*o**i - 1/3*o + 0 = 0.
0, 1
Let a(n) = -20*n**2 - 66*n - 64. Let m(v) = -v**3 + v. Let c(r) = 2*a(r) + 4*m(r). Factor c(l).
-4*(l + 2)*(l + 4)**2
Let b be ((1 + -3)*-1)/(-2). Let n be (-6)/(-3) + 1 + b. Determine m so that 2/7*m**3 + 0*m + 0 - 2/7*m**n = 0.
0, 1
Let b(u) = u - 1. Let x be b(4). Factor -x*s - s + 2*s + 2*s**2.
2*s*(s - 1)
Let s(v) be the third derivative of 5*v**8/336 - v**7/21 - v**6/12 + 2*v**5/3 - 35*v**4/24 + 5*v**3/3 + 2*v**2 - 36*v. Determine y so that s(y) = 0.
-2, 1
Let y = -95/12 - -55/6. Let k be 0/((-3)/9*-6). Suppose y*u**3 - 1/2*u**2 + 0 - 3/4*u**4 + k*u = 0. Calculate u.
0, 2/3, 1
Let p(u) = -4 + u**3 - 2*u**4 - 3*u - 7*u**3 - u - 4*u**2. Let x(n) = 5*n**4 + 13*n**3 + 9*n**2 + 9*n + 9. Let f(m) = 9*p(m) + 4*x(m). Let f(v) = 0. What is v?
0, 1
Let b be (-7 - -2)/(5/(-2)). Let q(k) be the first derivative of -2 + 1/8*k**b + 0*k - 1/12*k**3. Factor q(n).
-n*(n - 1)/4
Determine u so that 2 - 5*u**4 + 27*u**2 + 7*u**4 - 31*u**2 = 0.
-1, 1
Let f(m) = 2*m - 7. Let i be f(6). Suppose 0*s + 20 = i*s. Suppose 0 + 0*c - 4/3*c**2 + s*c**3 + 7/3*c**4 = 0. What is c?
-2, 0, 2/7
Factor -32/7 - 2/7*y**2 + 16/7*y.
-2*(y - 4)**2/7
Let z = 18 + -16. Let n(d) be the first derivative of 1/3*d**3 - 1 - z*d**2 + 4*d. Factor n(j).
(j - 2)**2
Determine x so that 0*x + 0*x**3 + 2/5*x**4 - 2/5*x**2 + 0 = 0.
-1, 0, 1
Let p(f) = -2*f**3 - f**2 + f - 11. Let m(u) = -u**3 - u**2 - 5. Let d(g) = 5*m(g) - 2*p(g). Let q be d(-3). Factor q - 2*w + 2*w**2 + w**2 - 5*w + w.
3*(w - 1)**2
Suppose -9*b**4 + b**3 - 32*b + 13*b + 13*b + 9*b**2 + 3*b**5 + 2*b**3 = 0. What is b?
-1, 0, 1, 2
Let q = 323/2 + -161. Factor 0*x + 0 - 1/2*x**2 - x**3 - q*x**4.
-x**2*(x + 1)**2/2
Suppose -12 = 4*x, -3*l + 21 = -2*x - 3*x. Find u, given that 0 + 0*u - 1/2*u**l = 0.
0
Suppose -o = 5*y - 4 - 1, -3*o - y = -15. Let -c**o + 0*c**3 - c**5 - 3*c**3 + c**3 + 4*c**4 = 0. What is c?
0, 1
Let k(g) = -g. Suppose 3*o - 3*d + 0*d + 9 = 0, -5*o - 5 = 5*d. Let a be k(o). Factor 0 - 2/3*j - 2/3*j**a + 2/3*j**3 + 2/3*j**4.
2*j*(j - 1)*(j + 1)**2/3
Suppose 0 = -2*n - 2*n + 12. Suppose -7 = -5*w + n. Factor 1 + u**3 - u**4 + 3 - 5*u**3 - 3*u**w + 4*u.
-(u - 1)*(u + 1)*(u + 2)**2
Let p(f) be the first derivative of 1 + 0*f - 3/2*f**2 - 1/45*f**5 + 0*f**3 + 1/36*f**4 + 1/180*f**6. Let n(u) be the second derivative of p(u). Factor n(x).
2*x*(x - 1)**2/3
Let u(s) be the second derivative of -7*s**4/24 - 5*s**3/12 + s**2/2 - 3*s. Factor u(h).
-(h + 1)*(7*h - 2)/2
Let a be 1/(-4) + (-2)/(-8). Let d(g) be the second derivative of a*g**2 - 2/5*g**6 - 2/5*g**5 - 4/27*g**4 + 0 + g + 0*g**3 - 1/7*g**7. Factor d(h).
-2*h**2*(3*h + 2)**3/9
Find h such that 2*h**2 - 12*h - 3*h**2 + 36 + 2*h**2 = 0.
6
Let u = 7 + -7. Solve 0*l**4 + l + l**4 + u*l**4 - l**2 - l**3 = 0.
-1, 0, 1
Let b be (1251/(-3475))/((3/5)/(-3)). Factor 9/5*d**3 - 3/5 + 3/5*d**2 - b*d.
3*(d - 1)*(d + 1)*(3*d + 1)/5
Let k(t) be the first derivative of 4*t - 1/2*t**4 + 4 + 0*t**3 + 3*t**2. Factor k(p).
-2*(p - 2)*(p + 1)**2
Suppose 0 = 2*w + 2*n - 2, -5*w + 5*n - 2*n + 21 = 0. Let v(p) be the second derivative of 0 - p + 0*p**w + 0*p**2 + 1/12*p**4. Factor v(g).
g**2
Let p be (-10)/(-4)*10/50. Factor -1 + 1/2*m + p*m**2.
(m - 1)*(m + 2)/2
Let j = 1/101 + 97/404. Find h, given that 3/4*h**2 + 0 + j*h**3 + 1/2*h = 0.
-2, -1, 0
Let v(d) = -d**2 + 8*d + 4. Let l be v(8). Suppose 1 + 15 = l*o. Factor 0*b + 0 - 2/7*b**3 - 2/7*b**5 + 0*b**2 - 4/7*b**o.
-2*b**3*(b + 1)**2/7
Let n(s) be the third derivative of s**5/40 - 5*s**4/4 + 25*s**3 + 34*s**2. Factor n(t).
3*(t - 10)**2/2
Let n(r) = -r**3 - 6*r**2 - 5*r + 2. Let j be n(-5). Suppose 2/9*b**3 + 8/9*b + 0 - 8/9*b**j = 0. What is b?
0, 2
Let l = 13964/13 - 1074. Factor 0*x**4 + l*x**5 + 2/13*x - 4/13*x**3 + 0 + 0*x**2.
2*x*(x - 1)**2*(x + 1)**2/13
Let d = 2/31851 - -286499/2548080. Let o(x) be the second derivative of 11/