 of 2/15*t**6 + 0 - 7*t + 0*t**3 + 0*t**2 + 0*t**4 - 1/5*t**5. Find n, given that j(n) = 0.
0, 1
Let q(h) be the first derivative of h**5/30 + h**4/24 + 78. Determine c so that q(c) = 0.
-1, 0
Factor -37/4*p - 19/2 + 1/4*p**2.
(p - 38)*(p + 1)/4
Let 82/7*x**3 + 4/7*x**2 - 16/7*x + 0 - 10*x**4 = 0. What is x?
-2/5, 0, 4/7, 1
Suppose 3*u + 16 = 2*x, -4*u - 3 = 3*x + 7. Let l be -6 + ((-516)/(-39))/2. Determine k, given that -10/13*k**x - l - 2/13*k**3 - 16/13*k = 0.
-2, -1
Factor 0*y**2 + 9/8*y - 3/8*y**3 + 3/4.
-3*(y - 2)*(y + 1)**2/8
Let c(t) be the second derivative of 25*t + 0*t**2 + 3/40*t**6 + 0 - 17/40*t**5 + 7/12*t**4 + 1/3*t**3. Find i such that c(i) = 0.
-2/9, 0, 2
Find n such that 0 - 32/7*n**2 - 6/7*n**3 + 12/7*n**4 + 2/7*n**5 + 24/7*n = 0.
-6, -2, 0, 1
Let k be 4/(-4 + -8) + 1/1. Let a = 86/57 + -16/19. Determine p, given that a*p**2 - 4/3*p + k = 0.
1
Let u be 1 + (-12)/(-1)*(-33)/6. Let y = u + 131/2. Factor 1/2 + y*f - 1/2*f**2 - 1/2*f**3.
-(f - 1)*(f + 1)**2/2
Let a(x) = -9*x**3 + 9*x**2 - x + 1. Let z(c) = 2*c**3 - c**2 - 1. Let t(n) = -2*a(n) - 10*z(n). Factor t(s).
-2*(s - 1)*(s + 1)*(s + 4)
Let k = -27 + 29. Solve 3*a - k*a + 7*a + a**2 + 4 + 12 = 0 for a.
-4
Let w(d) = -10*d**4 + 10*d**3 + 10*d**2 - 10. Let k(u) = 11*u**4 - 12*u**3 - 10*u**2 + 11. Let n(h) = -5*k(h) - 6*w(h). Factor n(p).
5*(p - 1)**2*(p + 1)**2
Let 251*o**2 - 98 - 122*o**2 - 131*o**2 + 28*o = 0. Calculate o.
7
Let j(s) be the second derivative of s**4/84 + 5*s**3/21 + 9*s**2/14 + 124*s. Factor j(f).
(f + 1)*(f + 9)/7
Let c(t) be the first derivative of -t**4 - 8*t**3/3 + 8*t**2 + 32*t - 67. Factor c(l).
-4*(l - 2)*(l + 2)**2
Let f(k) = -k**3 + 27*k**2 - 2*k + 842. Let q be f(28). Suppose p + 0 + 1/3*p**q = 0. What is p?
-3, 0
Suppose 3*h**4 + 17/3*h**2 + 0 + 4/3*h + 22/3*h**3 = 0. What is h?
-1, -4/9, 0
Factor 3913*v**2 - 33*v**4 + 216*v**3 + 63*v**4 - 997*v**2 - 26*v**4.
4*v**2*(v + 27)**2
Suppose 186 = 2*y - 32. Let f = -105 + y. Factor 0*t**2 + t**3 - 1/2*t**5 + 0*t**f - 1/2*t + 0.
-t*(t - 1)**2*(t + 1)**2/2
Let u(g) be the second derivative of -g**7/210 - g**6/45 + 2*g**5/15 + 4*g**4/3 + g**3/3 - 4*g. Let z(q) be the second derivative of u(q). Factor z(n).
-4*(n - 2)*(n + 2)**2
Solve -75*w + 29 + 3*w**2 - 85*w - 49*w + 103 + 74*w = 0.
1, 44
Let i(r) be the second derivative of 8*r**7/105 - r**6/30 - 3*r**2 + 12*r. Let w(m) be the first derivative of i(m). Determine k so that w(k) = 0.
0, 1/4
Let h = 1273/350 + -24/175. Solve -2/3*q + 11/6*q**4 - 1/3*q**5 + 0 + 8/3*q**2 - h*q**3 = 0 for q.
0, 1/2, 1, 2
Suppose 5*p - 657 = -227. Suppose 0*k + 4*k - 3*j - 90 = 0, p = 4*k - 5*j. Factor 57*x**3 - k - 162*x**2 + 80*x - 9*x**4 + 28*x + 36*x**2.
-3*(x - 2)**3*(3*x - 1)
Let a(w) be the third derivative of 2*w**7/945 - 11*w**6/270 + 4*w**5/15 - 8*w**4/27 - 128*w**3/27 - 103*w**2. Factor a(o).
4*(o - 4)**3*(o + 1)/9
Let y = 1062 + -1062. Let 0*z**2 + y*z + 0 + 2/21*z**4 + 2/21*z**3 = 0. Calculate z.
-1, 0
Let w(u) be the second derivative of -1/110*u**5 + 7*u + 0*u**3 + 0*u**2 + 1/33*u**4 - 2/165*u**6 + 0 + 1/231*u**7. Find p such that w(p) = 0.
-1, 0, 1, 2
Let g(y) be the third derivative of y**7/70 - 3*y**6/20 + 11*y**5/20 - 3*y**4/4 + y**2 + 19*y. Factor g(w).
3*w*(w - 3)*(w - 2)*(w - 1)
Let x(n) be the second derivative of n**3/6 + 9*n**2 + n - 10. Let k be x(-18). Factor 0*r - 2*r**3 + 0 + 4/3*r**2 + k*r**4 + 2/3*r**5.
2*r**2*(r - 1)**2*(r + 2)/3
Let o(q) = -q**4 - q**3 - q**2 + q + 1. Let z(x) = -4*x**4 - 24*x**3 - 72*x**2 - 48*x + 2. Let r(j) = 2*o(j) - z(j). Suppose r(w) = 0. Calculate w.
-5, -1, 0
Suppose -4/7*r + 10/7*r**2 + 2/7*r**3 - 48/7 = 0. What is r?
-4, -3, 2
Let b = -4444/1589 - -5/454. Let a = 23/7 + b. Factor -1/4*z**2 + 0 - a*z.
-z*(z + 2)/4
Let d = -34 + 37. Factor 37*n**3 - d*n**2 - 33*n**3 + 7*n**2.
4*n**2*(n + 1)
Let z(t) be the second derivative of -13/4*t**4 - 2*t**3 + 0 + 15*t - 3/4*t**5 + 6*t**2. Factor z(b).
-3*(b + 1)*(b + 2)*(5*b - 2)
Let u(w) = 204*w + 1025. Let h be u(-5). Let x(g) be the third derivative of -1/4*g**4 - 13*g**2 + 0 + 0*g**3 + 1/20*g**h + 0*g. Factor x(f).
3*f*(f - 2)
Let y(w) be the second derivative of -w**7/77 + 14*w**6/165 + 14*w**5/55 - 4*w**4/11 + 234*w. Determine d, given that y(d) = 0.
-2, 0, 2/3, 6
Let r(a) be the second derivative of a**4/72 + 13*a**3/12 + 117*a. Factor r(p).
p*(p + 39)/6
Let b(c) be the first derivative of -10/3*c**3 - 9 + c**2 + 3/2*c**4 + 2*c. Let b(f) = 0. What is f?
-1/3, 1
Let h(q) = 4*q**4 - 10*q**3 + q**2 + 25*q. Let j(x) = -x**4 - x**3 - 2*x. Let u(t) = -h(t) - 5*j(t). Factor u(o).
o*(o - 1)*(o + 1)*(o + 15)
Let l(c) be the first derivative of c**5 - 23*c**4/4 + 10*c**3 - 2*c**2 - 8*c + 228. Factor l(j).
(j - 2)**2*(j - 1)*(5*j + 2)
Suppose 5*g - 5 = 5. Factor -3*s**5 - 8*s**3 - 6*s**g - 9*s + 12*s**3 + 6 + 8*s**3.
-3*(s - 1)**3*(s + 1)*(s + 2)
Let a(g) be the second derivative of -7 - 4*g + 1/4*g**4 - 27/2*g**2 - 4*g**3. Let a(d) = 0. What is d?
-1, 9
Factor 49*n**2 + 192*n - 18085*n**3 + 18089*n**3 + 144 + 3*n**2.
4*(n + 1)*(n + 6)**2
Find p, given that -2/7*p**3 - 2/7*p + 4/7*p**2 + 0 = 0.
0, 1
Let t(s) be the second derivative of -s**4/3 - 4*s**3 - 10*s**2 + 2*s + 13. Let t(u) = 0. What is u?
-5, -1
Suppose 0 = 83*k - 85*k - 4*w + 32, -2*k = 2*w - 18. Factor -18*v**k - 54*v**3 - 3/2*v + 0.
-3*v*(6*v + 1)**2/2
Let t(l) be the second derivative of -5/6*l**3 + 1/360*l**6 + 0 + 6*l + 0*l**2 - 1/60*l**5 + 0*l**4. Let z(u) be the second derivative of t(u). Factor z(n).
n*(n - 2)
What is g in -94*g**2 - 94*g**2 - 91*g**2 + 261*g**2 + 2 + 16*g = 0?
-1/9, 1
Let o(p) = -p**2 + 22*p - 80. Let v be o(5). Let g(a) be the third derivative of 0 - 4*a**3 + 3/2*a**4 + 0*a + 1/40*a**6 - 3/10*a**5 - v*a**2. Factor g(m).
3*(m - 2)**3
Let j(q) be the second derivative of 1/20*q**5 + 20*q + 0 - 2/45*q**6 + 0*q**4 + 0*q**2 + 1/126*q**7 + 0*q**3. Let j(i) = 0. Calculate i.
0, 1, 3
Let o(b) = 54*b**4 - 42*b**3 - 96*b**2 - 32*b - 5. Let a(p) = -55*p**4 + 42*p**3 + 96*p**2 + 32*p + 6. Let r(q) = -5*a(q) - 6*o(q). Factor r(m).
-m*(m - 2)*(7*m + 4)**2
Let d(z) be the third derivative of -z**9/12096 - z**8/2016 + z**7/1008 + z**6/72 - z**5/60 - 14*z**2. Let a(u) be the third derivative of d(u). Factor a(l).
-5*(l - 1)*(l + 1)*(l + 2)
Let j = 0 + 1. Suppose -28 = -27*a + 13*a. Factor a*t**2 - 14*t**2 + 38*t**3 + 14*t**4 + 1 - j.
2*t**2*(t + 3)*(7*t - 2)
Let f(m) be the first derivative of 20/3*m**3 - 56/3*m**2 - 13/12*m**4 + 1/15*m**5 + 9 + 64/3*m. Find p, given that f(p) = 0.
1, 4
Let g(p) = -p**3 - 12*p**2 - 10*p + 14. Let z be g(-11). Factor 28*m + 4 + 30*m**2 + 16 + 17*m + 5*m**z.
5*(m + 1)**2*(m + 4)
Factor 100*c + 767*c**2 - 751*c**2 + 4*c**3 + 346 - 304*c + 14.
4*(c - 3)**2*(c + 10)
Let m = -6416 - -19268/3. Find t such that -22/3*t + m*t**3 - 4*t**4 + 2/3*t**5 + 0*t**2 + 4 = 0.
-1, 1, 2, 3
Let b(w) be the first derivative of -w**7/840 - w**6/160 + w**4/24 + 7*w**2/2 + 9. Let v(u) be the second derivative of b(u). Let v(x) = 0. Calculate x.
-2, 0, 1
Let b(k) be the second derivative of -1/22*k**4 + 0*k**3 + 1/55*k**5 - 2*k + 0 + 1/165*k**6 + 0*k**2. Factor b(f).
2*f**2*(f - 1)*(f + 3)/11
Let w = -4977 + 4980. Factor 1/3*r**2 + 0*r + 0 + 1/3*r**4 + 2/3*r**w.
r**2*(r + 1)**2/3
Suppose 5*s - 49 = -3*o, 2*s = -13*o - 68 + 123. Find a, given that 3/4*a**2 + 0*a**4 - 3/4 - 3/2*a**o + 9/8*a + 3/8*a**5 = 0.
-2, -1, 1
Let a(j) = -j**2 - 14*j - 36. Let l be a(-9). Let t(y) = 3*y**2 - 29*y + 20. Let x be t(l). Factor 5/3*g - 5*g**x + 10/3.
-5*(g - 1)*(3*g + 2)/3
Let c(b) = -b**3 + 11*b**2 - 12*b + 22. Let v be c(10). Let a(o) be the first derivative of -8/21*o**3 + 5 + 0*o - 1/7*o**v. What is m in a(m) = 0?
-1/4, 0
Let k(w) be the third derivative of -w**6/120 + w**5/20 - w**4/8 - w**3 + 9*w**2. Let n(l) be the first derivative of k(l). Factor n(f).
-3*(f - 1)**2
Suppose 20 = 3*q + 8. Let v(f) be the first derivative of -3 - 2/5*f**5 - 4*f**2 - 2*f**3 + 2*f**q + 8*f. Factor v(o).
-2*(o - 2)**2*(o - 1)*(o + 1)
Let z = -471 + 473. Let y(i) be the second derivative of 8*i - 1/18*i**5 - 28/27*i**3 - 8/9*i**z + 0 - 11/27*i**4. Solve y(c) = 0.
-2, -2/5
Let y = 799/146 + 2/73. Factor l**2 + 1/2*l**5 - 6*l + 3*l**4 - 4 + y*l**3.
(l - 1)*(l + 1)*(l + 2)**3/2
Let p = 6/403 - -385/1209. Solve -2/3*z**2 + 0*z + 0*z*