4*s**4 + 2*s**3 + 0*s + 0*s**2 - 3*s**5 - 2. Find b, given that k(b) = 0.
-2/5, 0, 1
Let q = 2/17 + 16/153. Let i(k) be the second derivative of 1/18*k**4 + 0 - k + 1/3*k**2 + q*k**3. Factor i(f).
2*(f + 1)**2/3
Let f(p) be the first derivative of -p**8/5880 - p**7/980 - p**6/1260 + p**5/140 + p**4/42 + p**3 + 3. Let h(l) be the third derivative of f(l). Solve h(r) = 0.
-2, -1, 1
Let p = 24 + -20. Suppose -p*j = -2*g - 14, 0 = j - 3*g + 6*g + 7. Factor j*a + 2/5*a**3 + 8/5*a**2 + 4/5.
2*(a + 1)**2*(a + 2)/5
Let d(s) be the second derivative of s**6/65 + s**5/65 - s**4/6 - 8*s**3/39 + 4*s**2/13 + 9*s + 1. Determine c so that d(c) = 0.
-2, -1, 1/3, 2
Let z(h) be the first derivative of -8*h**5/55 + h**4/22 + 8*h**3/11 - h**2 + 4*h/11 - 13. Let z(a) = 0. What is a?
-2, 1/4, 1
Let i = 1360/7 + -194. Factor 2/7 + 2/7*s**5 - 4/7*s**2 + i*s**4 - 4/7*s**3 + 2/7*s.
2*(s - 1)**2*(s + 1)**3/7
Let b be 8/14*28/8. Factor z**b + 4/3*z - 4/3.
(z + 2)*(3*z - 2)/3
Let j(y) be the third derivative of 1/12*y**3 - 1/120*y**5 - 1/240*y**6 + 0 + 1/48*y**4 + 3*y**2 + 0*y. What is r in j(r) = 0?
-1, 1
Let m(l) = l**2 + 9*l + 9. Let p be m(-8). Suppose -3 = -2*w + p. Factor -2*v**2 + 2*v**2 + 2*v**w - 2.
2*(v - 1)*(v + 1)
Let a = 224 - 224. Let s(x) be the first derivative of a*x - 5 + 0*x**3 + 0*x**2 + 1/2*x**4. Factor s(t).
2*t**3
Let s(o) be the first derivative of o**4/6 + 4*o**3/9 - o**2/3 - 4*o/3 - 18. Factor s(l).
2*(l - 1)*(l + 1)*(l + 2)/3
Let w(h) = -h**2 - 16*h - 13. Let u be w(-1). Factor -2/15*x**u + 2/15 + 0*x.
-2*(x - 1)*(x + 1)/15
Let j(b) be the first derivative of 125*b**4/28 - 25*b**3/7 + 15*b**2/14 - b/7 + 10. Factor j(u).
(5*u - 1)**3/7
Let h(z) be the second derivative of -z**7/294 + z**6/30 - 19*z**5/140 + 25*z**4/84 - 8*z**3/21 + 2*z**2/7 + 9*z. Factor h(f).
-(f - 2)**2*(f - 1)**3/7
Let x(f) = -6*f - 3. Let y be x(-1). Let i(o) be the second derivative of -1/48*o**4 - 1/24*o**y + 0 + 1/4*o**2 - o. Suppose i(w) = 0. Calculate w.
-2, 1
Let o(u) = 4*u + 5*u**3 - u**2 + 8 + 8*u + 10*u**2. Let v(i) = -4*i**3 - 8*i**2 - 11*i - 7. Let k(s) = -3*o(s) - 4*v(s). Let k(h) = 0. What is h?
-2, -1
Let b be (-1 - -3) + (0 - 0). Suppose -4*a = -b*a - 6. Factor 0*q**2 + q**a - q**2 + 3*q**2 + q.
q*(q + 1)**2
Let -1/6*p**2 - 1/6*p + 1/3 = 0. What is p?
-2, 1
Let k(t) be the first derivative of t**5/10 + t**4/8 - t**3/6 - t**2/4 + 10. Factor k(p).
p*(p - 1)*(p + 1)**2/2
Let i(b) = b**5 - b**4 - b. Let l(g) = -g**5 + 4*g**4 - 2*g**2 + g. Let c(p) = -2*i(p) - l(p). Determine w, given that c(w) = 0.
-1, 0, 1
Let x(j) be the first derivative of -j**6/21 - 6*j**5/35 + j**4/7 + 4*j**3/7 - j**2/7 - 6*j/7 - 21. Let x(h) = 0. Calculate h.
-3, -1, 1
Let f be 1490/(-270) - -1*4. Let k = 4/27 - f. Find u such that 1/3*u**3 + 2/3 + 4/3*u**2 + k*u = 0.
-2, -1
Let x(y) = -y**3 + 6*y**2 + y - 2. Let s be x(6). Let t(j) be the third derivative of -3*j**2 + 1/120*j**5 + 0*j**3 + 0*j + 0 + 1/48*j**s. Factor t(w).
w*(w + 1)/2
Let d(y) be the third derivative of -y**6/60 + y**5/10 - y**4/6 + 2*y**2. Factor d(i).
-2*i*(i - 2)*(i - 1)
Let f(a) be the first derivative of -3 - 2/9*a**3 - 4/3*a - a**2. Solve f(d) = 0.
-2, -1
Let t(v) be the second derivative of -1/6*v**3 - 5*v + 1/12*v**4 + 0 + 0*v**2. Factor t(q).
q*(q - 1)
Let d(v) be the second derivative of -v**4/3 - 4*v**3 + 14*v**2 + 40*v. What is a in d(a) = 0?
-7, 1
What is z in 2/11*z**2 - 2/11*z**4 - 4/11*z**3 + 0 + 4/11*z = 0?
-2, -1, 0, 1
Find l, given that 0*l + 0 + 1/4*l**3 + 0*l**2 = 0.
0
Let p(y) be the second derivative of y**8/7560 + y**7/1260 + y**6/810 + y**3/2 + 2*y. Let i(x) be the second derivative of p(x). Factor i(m).
2*m**2*(m + 1)*(m + 2)/9
Let v be 124*4*(-6)/(-128). Let n = -23 + v. Factor -n*s**2 + 3/4*s - 1/2.
-(s - 2)*(s - 1)/4
Let b(v) = v. Let p(i) be the second derivative of i**4/6 + 5*i**3/3 + i**2 + 4*i. Let l(z) = 6*b(z) - p(z). Solve l(w) = 0.
-1
Suppose -5*l = -3*g - 2*g + 10, -4*l - 4 = -2*g. Factor -14*c**g - c + 3*c - 6*c.
-2*c*(7*c + 2)
Let c = -5 - -7. Let w(k) be the second derivative of k - 1/80*k**5 + 0*k**3 - 1/168*k**7 + 0 + 0*k**c + 0*k**4 - 1/60*k**6. Let w(d) = 0. Calculate d.
-1, 0
Let a(v) = -v**2 - 1. Let j(m) = -6*m**2 + 8*m - 2. Let s(o) = -8*a(o) + j(o). Suppose s(l) = 0. What is l?
-3, -1
Let u(t) be the third derivative of t**8/840 + t**7/525 - t**6/300 - t**5/150 - 2*t**2. Factor u(g).
2*g**2*(g - 1)*(g + 1)**2/5
Let g be -3 + (3 - -4*1). Let i be 12/72*6/g. Factor -i*n**2 + 0*n + 0.
-n**2/4
Let q(m) = 3*m**3 + m**2 - 5*m + 3. Let j(s) = -7*s - 5. Let b(o) = 6*o + 4. Let l(u) = -6*b(u) - 5*j(u). Let t(n) = 6*l(n) - 2*q(n). Find g such that t(g) = 0.
-1, 0, 2/3
Let n = 58 + -55. Let x(m) be the first derivative of 1/7*m**4 + 2/35*m**5 - 3 + 2/21*m**n + 0*m + 0*m**2. What is f in x(f) = 0?
-1, 0
Let t(o) be the third derivative of 3/10*o**3 - 1/100*o**5 - 1/20*o**4 + 0*o + 7*o**2 + 0. Solve t(s) = 0 for s.
-3, 1
Let z be (-4 - -3 - -2)*2. Factor 0*d**z + 3/2*d + 1 - 1/2*d**3.
-(d - 2)*(d + 1)**2/2
Let x(d) = 20*d**3 + 8*d**2 - 20*d + 6. Let g(z) = -7*z**3 - 3*z**2 + 7*z - 2. Let u(q) = 14*g(q) + 5*x(q). Factor u(w).
2*(w - 1)**2*(w + 1)
Let y(j) = -j**3 - 6*j**2 - j - 4. Let d be y(-6). Factor -2*f**d - 2 + 2 + 4*f.
-2*f*(f - 2)
Let i = -55/12 - -21/4. Find r, given that -i*r + 2/9*r**2 + 4/9 = 0.
1, 2
Factor 0*h + 2/5*h**4 + 0*h**3 + 0 - 2/5*h**2.
2*h**2*(h - 1)*(h + 1)/5
Let k be ((-4)/50)/((-7)/(22 + 13)). Solve -4/5 + k*m**5 + 8/5*m**4 - 2*m + 8/5*m**3 - 4/5*m**2 = 0.
-2, -1, 1
Suppose -3*v**3 - 13*v**2 - 31*v - 19*v + 11*v + 18 + 37*v**2 = 0. What is v?
1, 6
Let p be (-96)/168*2/(-4). Let q = 19/91 - -1/13. Determine m, given that 2/7*m**3 - q*m + 2/7*m**2 - p = 0.
-1, 1
Let p(a) be the third derivative of -a**8/40 + 41*a**7/525 - a**6/100 - 37*a**5/150 + 2*a**4/5 - 4*a**3/15 + 3*a**2. Suppose p(o) = 0. Calculate o.
-1, 2/7, 2/3, 1
Let f(z) be the first derivative of z**6/2 + 3*z**5/5 - 9*z**4/2 + 2*z**3 + 15*z**2/2 - 9*z - 10. What is q in f(q) = 0?
-3, -1, 1
Factor -19/3*s**3 - 7/3*s**4 - 1/3*s**5 - 25/3*s**2 - 16/3*s - 4/3.
-(s + 1)**3*(s + 2)**2/3
Let y(f) be the second derivative of -f**7/420 - f**2/2 + f. Let n(o) be the first derivative of y(o). Let n(k) = 0. What is k?
0
Suppose -5*j + 31 + 19 = 0. What is v in 6*v**2 - j*v**3 + v**5 + 7*v**5 + v + v - 6*v**4 = 0?
-1, -1/4, 0, 1
Let c(v) = v**2 - 12*v + 2. Let f be c(12). Let w(h) be the second derivative of -1/8*h**f - 1/48*h**4 + 0 - 1/12*h**3 - h. Factor w(u).
-(u + 1)**2/4
Let a(r) be the second derivative of -2*r**6/15 + 3*r**5/5 - r**4/3 - 2*r**3 + 4*r**2 + 7*r. Find q, given that a(q) = 0.
-1, 1, 2
Let l(g) = 13*g**3 + 11*g**2 - 7*g. Let k(w) = -w**3 - w**2 + w. Let x = 27 - 28. Let n(o) = x*l(o) - 5*k(o). What is b in n(b) = 0?
-1, 0, 1/4
Suppose 0*a + 6 = 3*a. Let 2*f + 0*f**3 - 1 + 5*f**a - f**3 - f - 4*f**2 = 0. What is f?
-1, 1
Let w(b) = 3*b**2 - 12*b + 8. Let q(n) = -6*n**2 + 24*n - 17. Let j(d) = 4*q(d) + 7*w(d). Factor j(m).
-3*(m - 2)**2
Let r(p) be the second derivative of -p**8/840 + p**7/210 - p**5/30 + p**4/12 - 2*p**3/3 + 2*p. Let u(j) be the second derivative of r(j). Factor u(v).
-2*(v - 1)**3*(v + 1)
Let g(b) be the second derivative of 0*b**4 + 0 + b**2 + 0*b**3 + b + 1/240*b**5. Let p(y) be the first derivative of g(y). Factor p(r).
r**2/4
Let s = -1/20167 + 7300459/100835. Let m = s - 72. Find p, given that 0*p - 2/5*p**4 - 2/5*p**3 + 0 + m*p**5 + 2/5*p**2 = 0.
-1, 0, 1
Find d such that 3*d**3 + 9*d**4 + 3*d**5 - 3*d**3 + 6*d**3 = 0.
-2, -1, 0
Let y = 89 - 89. Factor y - 16/5*s**2 + 8/5*s - 2/5*s**4 + 2*s**3.
-2*s*(s - 2)**2*(s - 1)/5
Let l(h) be the third derivative of h**7/42 - h**6/12 + h**5/12 - 26*h**2. Solve l(i) = 0 for i.
0, 1
Suppose d - 5 = 3*d + 5*i, 2 = -4*d - 2*i. Factor 4*p**2 - 7*p**4 - 2*p + p**3 + d*p**5 + p**5 + 4*p**4 - p**2.
p*(p - 2)*(p - 1)**2*(p + 1)
Let v be (-12)/(-16) + (-13)/(-4). Let l = v + -1. Factor -l*j**2 - 3*j**2 - j + 3*j**2 + 2*j**2.
-j*(j + 1)
Let i(h) = 7*h**2 + 4*h - 12. Let f(z) = -3*z**2 - 2*z + 6. Let s(y) = -9*f(y) - 4*i(y). Let q(j) = -j**2 + 2*j - 7. Let b(m) = 5*q(m) - 6*s(m). Factor b(p).
(p - 1)**2
Let a(n) be the third derivative of n**6/24 - 17*n**5/12 + 50*n**4/3 - 160*n**3/3 + 20*n**2 + n. Find y, given that a(y) = 0.
1, 8
Let u(g) b