b, given that n(b) = 0.
-1, 1
Find k, given that 4 - k**3 - 6 - 2*k**2 + 7*k**2 - 8*k + 6 = 0.
1, 2
Let n be (-4664)/(-6160) + (-2)/(-20). Factor -3/7*t + 0 + n*t**5 + 9/7*t**3 + 15/7*t**4 - 3/7*t**2.
3*t*(t + 1)**3*(2*t - 1)/7
Let q(x) be the third derivative of x**8/1176 - x**7/49 + 3*x**6/14 - 9*x**5/7 + 135*x**4/28 - 81*x**3/7 + 3*x**2. Factor q(c).
2*(c - 3)**5/7
Let a = -149 - -153. Factor -2/13*h**a - 2/13*h**3 + 2/13*h**5 + 0*h + 0 + 2/13*h**2.
2*h**2*(h - 1)**2*(h + 1)/13
Let c be 1/(2*(-3)/24). Let d = c - -6. Determine f so that -1/3*f**d + 0*f + 1/3 = 0.
-1, 1
Suppose 0 = -2*g + 19 - 5. Let a be g/(-3) - (-12)/4. Factor 2/3 + a*x**3 + 2*x**2 + 2*x.
2*(x + 1)**3/3
Suppose 5*m - 17 = -3*a, -m - 2*m = -4*a - 16. Factor m + 0*y**2 + y + y**2 - 4.
y*(y + 1)
Let y(w) be the third derivative of -4*w**2 + 1/90*w**5 - 1/27*w**4 + 0*w + 1/27*w**3 + 0. Suppose y(h) = 0. What is h?
1/3, 1
Let o be (1 - 1) + 5 + -2. Factor -10*l**3 - 3*l**3 - 18*l**o + 20*l**4 + 8*l**2 + 3*l**3.
4*l**2*(l - 1)*(5*l - 2)
Let v(k) be the second derivative of 1/105*k**6 + 0*k**4 + 0 + 0*k**2 - 1/70*k**5 + 0*k**3 + 4*k. Solve v(x) = 0.
0, 1
Let c(j) be the second derivative of j**4/20 + j**3/10 + 17*j. Determine x so that c(x) = 0.
-1, 0
Let m(p) be the first derivative of -8*p**3 + 5 - 33/4*p**2 - 21/8*p**4 - 3*p. Find v, given that m(v) = 0.
-1, -2/7
Factor 8*s + 2*s + 13*s**2 + 0*s - 8*s**2.
5*s*(s + 2)
Let o(b) = -6*b - 30. Let w be o(-5). Let r(j) be the third derivative of 1/100*j**5 + 0*j**3 - 1/600*j**6 - 1/60*j**4 - 3*j**2 + 0*j + w. Factor r(x).
-x*(x - 2)*(x - 1)/5
Let u(f) = -f + 1. Let z = 13 - 7. Let x(g) = g**3 + 11*g - 9. Let w(v) = -v**3 - 21*v + 17. Let k(q) = -3*w(q) - 5*x(q). Let y(p) = z*u(p) + k(p). Factor y(c).
-2*c*(c - 1)*(c + 1)
Suppose 27*d - 114 = -11*d. Solve 2/13*y + 0 + 0*y**2 - 2/13*y**d = 0 for y.
-1, 0, 1
Let p be (3 - 4)/((-2)/6). Let b be (-1)/p*(1 + -13). Suppose -3*g**b - 3*g**3 + g**2 - 2*g**2 - g**5 + 0*g**5 = 0. What is g?
-1, 0
Let t(f) = 4*f**3 - f**2 - f + 1. Let g be t(1). Factor 6*u**2 - 3*u - 2*u**3 + 7*u**3 - 8*u**g.
-3*u*(u - 1)**2
Let z(i) = -7*i**2 - 19*i. Let s(a) = -12*a**2 - 23*a + 7. Let d(f) = 4*f**2 + 8*f - 2. Let x(w) = 7*d(w) + 2*s(w). Let o(v) = -11*x(v) - 6*z(v). Factor o(j).
-2*j*(j - 2)
Let g be (4 - 2 - 4) + 8. Let p(w) be the third derivative of -1/48*w**4 - 2*w**2 + 0*w**3 + 0 + 0*w + 1/240*w**g + 0*w**5. Determine n, given that p(n) = 0.
-1, 0, 1
Let z = -355 - -1067/3. Factor 2/3*j**3 - z + 2*j - 2*j**2.
2*(j - 1)**3/3
Let l be (0 - (-7 + 11)) + 6. Suppose 2/7 + 4/7*m + 2/7*m**l = 0. Calculate m.
-1
Let w(p) = 5*p**3 + 3*p**2 - 3*p - 1. Let s be ((-36)/(-16) + -2)*12. Let g(c) = -6*c**3 - 4*c**2 + 2*c. Let k(l) = s*g(l) + 4*w(l). Factor k(f).
2*(f - 2)*(f + 1)**2
Let c(f) = -49*f**4 + 47*f**3 - 19*f**2 + 7*f. Let d(t) = 25*t**4 - 23*t**3 + 10*t**2 - 4*t. Let k(x) = 4*c(x) + 7*d(x). Determine w, given that k(w) = 0.
0, 2/7, 1
Let v = -20 - -22. Factor -2/3*d**3 - d**v + 2/3 + d.
-(d - 1)*(d + 2)*(2*d + 1)/3
Factor 0 + o**4 - 8/3*o**3 - 2/3*o + 7/3*o**2.
o*(o - 1)**2*(3*o - 2)/3
Let u(g) = -g**2 + 4*g - 2. Let k(i) = -i**2 - 4*i + 3. Let j be k(-4). Let s be u(j). Let 5*y - 5*y**3 - 2*y - s + y**2 + 0*y**3 + 2*y**3 = 0. What is y?
-1, 1/3, 1
Factor -12*z**2 + 6*z**5 - 96*z - 2*z**5 + 12*z**4 + 4*z**3 + 88*z.
4*z*(z - 1)*(z + 1)**2*(z + 2)
Let f(i) be the second derivative of -1/6*i**4 - 1/42*i**7 + 1/15*i**6 - i + 0*i**5 + 1/6*i**3 + 0 + 0*i**2. Solve f(w) = 0 for w.
-1, 0, 1
Let k(i) be the third derivative of -i**9/7560 + i**7/840 + i**6/360 - 7*i**5/60 - 7*i**2. Let j(m) be the third derivative of k(m). Factor j(q).
-2*(q - 1)*(2*q + 1)**2
Let o = -26 - -47. Let x be o/9 - 1/(-6). Determine v so that -v + 0 - x*v**3 - 9/2*v**4 + 7/2*v**5 + 9/2*v**2 = 0.
-1, 0, 2/7, 1
Let w(u) be the second derivative of -u**6/255 - 9*u**5/170 - 4*u**4/51 - 16*u - 1. Factor w(l).
-2*l**2*(l + 1)*(l + 8)/17
Let w(u) be the third derivative of u**5/60 + u**4/24 - u**3/6 - 4*u**2. Let o(y) = 3*y**2 - 2. Let v(p) = -3*o(p) + 6*w(p). What is q in v(q) = 0?
0, 2
Let y(b) be the first derivative of -1/4*b - 1/8*b**2 + 1/12*b**3 + 1/16*b**4 + 7. Let y(w) = 0. Calculate w.
-1, 1
Let o be 21/(-2)*1/18. Let n = 5/6 + o. Factor -1/4*s**3 + 0 - n*s + 1/2*s**2.
-s*(s - 1)**2/4
Let t be (6/(-8))/((-396)/64 - -6). Factor 2 + 3*x**3 + 13/2*x**2 + 6*x + 1/2*x**t.
(x + 1)**2*(x + 2)**2/2
Let v(z) be the first derivative of -1 + 3/2*z**2 + 2*z - 1/4*z**4 + 0*z**3. Solve v(m) = 0 for m.
-1, 2
Let l = -612 + 3087/5. Solve -l - 9/5*p**2 + 27/5*p + 1/5*p**3 = 0 for p.
3
Let n(o) = -20*o**4 + 52*o**2 - 8. Let j(d) = 8*d**4 - 21*d**2 + 3. Let m(x) = 12*j(x) + 5*n(x). Factor m(u).
-4*(u - 1)**2*(u + 1)**2
Let b be (-738)/(-126) + 2/14. Let a be (3/2)/(b - 0). What is h in 1/4 - 1/2*h**2 + a*h = 0?
-1/2, 1
Let a = -229/3 + 77. Factor a*q**5 - 8/3*q**4 + 2/3*q**3 - 8/3*q + 20/3*q**2 - 16/3.
2*(q - 2)**3*(q + 1)**2/3
Let l(d) = d**3 + d**2 - d + 4. Let o be l(0). Suppose -o*a = a. Factor a*f + 0 + 2/5*f**4 + 0*f**3 - 2/5*f**5 + 0*f**2.
-2*f**4*(f - 1)/5
Let j(h) be the first derivative of -1/24*h**6 - 4 + 3/20*h**5 - 1/6*h**3 + 3/8*h**2 - 1/8*h**4 - 1/4*h. Factor j(i).
-(i - 1)**4*(i + 1)/4
Factor 0 - 2/3*b - 1/3*b**2.
-b*(b + 2)/3
Let a(t) be the second derivative of t**4/18 + 7*t**3/45 + 2*t**2/15 + t. Factor a(p).
2*(p + 1)*(5*p + 2)/15
Factor 4/3*m + 22/3*m**2 + 0 + 32/3*m**3 + 14/3*m**4.
2*m*(m + 1)**2*(7*m + 2)/3
Let f(d) be the third derivative of 0*d + 0*d**4 + 1/96*d**6 - 3*d**2 - 5/1344*d**8 + 1/120*d**5 + 0 + 0*d**3 - 1/420*d**7. What is c in f(c) = 0?
-1, -2/5, 0, 1
Let q(v) be the second derivative of -v**8/1680 - v**7/840 + v**6/180 - 2*v**3/3 + 2*v. Let o(d) be the second derivative of q(d). Factor o(c).
-c**2*(c - 1)*(c + 2)
Let 4/3 + 1/3*f**3 - 1/3*f**5 - 7/3*f**2 + 0*f + f**4 = 0. What is f?
-1, 1, 2
Let j be (-6 - (-104)/20)/(2/(-5)). Factor 11/3*b**2 - 4/3*b + j*b**3 - 4/3 - 3*b**4.
-(b - 1)**2*(3*b + 2)**2/3
Let o(t) = t**2 - 3*t. Let g be o(3). Let y(q) be the first derivative of g*q - 2/21*q**3 + 0*q**2 - 1/14*q**4 - 1. What is r in y(r) = 0?
-1, 0
Suppose 137*j**3 + 53*j**3 - 29*j**4 + 254*j**4 + 40*j**2 + 45*j**5 = 0. Calculate j.
-4, -2/3, -1/3, 0
Let f(s) be the third derivative of -s**8/112 + 3*s**7/35 - 13*s**6/40 + 3*s**5/5 - s**4/2 + 11*s**2. Solve f(d) = 0 for d.
0, 1, 2
Let c(d) = -2*d**2 - 2*d. Let k(i) = 1. Let a(l) = c(l) + 12*k(l). Let a(y) = 0. What is y?
-3, 2
Let 20/3*y - 8 - 4/3*y**2 = 0. What is y?
2, 3
Let j(k) be the first derivative of 4*k**2 + 1/2*k**4 + 0*k - 8/3*k**3 + 1. Determine u so that j(u) = 0.
0, 2
Let h(q) be the first derivative of -q**6/90 + q**4/6 - 8*q**3/3 - 2. Let g(x) be the third derivative of h(x). Let g(c) = 0. Calculate c.
-1, 1
Let k(i) be the first derivative of -i**5/25 + i**4/5 - i**3/15 - 3*i**2/5 + 32. Find u such that k(u) = 0.
-1, 0, 2, 3
Let x(p) be the second derivative of -3*p**4/4 + p**3/2 - 2*p. Find d such that x(d) = 0.
0, 1/3
Factor -2/5*f**2 + 8/5*f - 2/5*f**3 + 8/5.
-2*(f - 2)*(f + 1)*(f + 2)/5
Let b = -3 - -5. Let 2*v**3 + v**b - 4*v**3 - 2*v**2 - 3*v**2 = 0. Calculate v.
-2, 0
Suppose 22 = 3*q + 4. Let s = 8 - q. Solve -4/3*f**3 + 16/9*f**s + 2/9 - 2*f**4 + 4/3*f = 0.
-1, -1/3, 1
Let d(x) = -x**3 + 5*x**2 - 3*x + 69. Let r be d(6). Factor r*o + 99/4*o**2 + 3*o**4 + 15*o**3 + 3.
3*(o + 2)**2*(2*o + 1)**2/4
Let p(k) = 3*k**2 - 4*k - 1. Let u(j) = 14*j**2 - 18*j + 1. Let q(o) = 7*o**2 - 9*o. Let b(t) = 7*q(t) - 3*u(t). Let r(f) = -2*b(f) + 5*p(f). Factor r(a).
(a - 1)**2
Let g(n) be the second derivative of -n**6/15 + n**5/5 - 2*n**3/3 + n**2 - n - 2. Factor g(k).
-2*(k - 1)**3*(k + 1)
Let 15*c - 8*c + 0*c**2 - 5*c + c**2 = 0. What is c?
-2, 0
Let a = 18/31 - 23/93. Factor -a*c + 0*c**2 + 0 + 1/3*c**3.
c*(c - 1)*(c + 1)/3
Let c(p) be the first derivative of p**7/1680 - p**5/240 - p**3/3 - 1. Let a(f) be the third derivative of c(f). Determine h so that a(h) = 0.
-1, 0, 1
Let x(g) = -3*g**2 + 20*g + 8. Let d(v) = 7*v**2 - 41*v - 16. Let b(k) = -6*d(k) - 13*x(k). Factor b(p).
-(p + 4)*(3*p + 2)
Let p = -1 + 3. Let m be (-6 - -7)*(0 - 0). Factor 2/3*l + 0*l**p + m - 2/3*l**3.
-2*l*(l - 1)*(l + 1)/3
Let f(r) be the third derivative of r**7/490 - 9*r**6/280 + 3