 3/5*h**4 = 0.
-2, -2/3, 0, 1
Suppose 2*o - 10 = -0. Suppose 2*c - 3 = c. Let d(q) = -q**2 + 13*q + 29. Let w(y) = y**2 - 27*y - 59. Let v(s) = c*w(s) + o*d(s). Solve v(t) = 0 for t.
-4
Factor -4*h - 6/5 + 23/10*h**2.
(h - 2)*(23*h + 6)/10
Suppose -4*b + 3*b - 3*k + 2 = 0, 2*k = -4*b + 8. Suppose -90*a**3 - 49*a**b + 149*a**2 - 25*a - 5*a**5 - 15*a + 35*a**4 = 0. Calculate a.
0, 1, 2
Let u(b) be the second derivative of b**7/42 + b**6/5 + 11*b**5/20 + b**4/6 - 2*b**3 - 4*b**2 + 337*b. Factor u(p).
(p - 1)*(p + 1)*(p + 2)**3
Factor -1/2*o**4 - 7/2*o**2 - 5/2*o**3 - 3/2*o + 0.
-o*(o + 1)**2*(o + 3)/2
Suppose 3*h + 100*v - 1 = 96*v, -2*h - 5*v - 4 = 0. Determine z, given that 15/4*z**h - 37/8*z**2 - 9/8*z**4 - 1/2 + 5/2*z = 0.
2/3, 1
Let z = -16802 + 16807. Find r, given that -z*r - 7/6*r**2 - 4/3 = 0.
-4, -2/7
Let k(p) be the first derivative of 4*p**5/5 - p**4 - 8*p**3/3 + 101. Factor k(a).
4*a**2*(a - 2)*(a + 1)
Let y(k) be the first derivative of 2*k**6/21 - 44*k**5/35 + 18*k**4/7 + 144*k**3/7 - 432*k**2/7 - 176. Let y(m) = 0. Calculate m.
-3, 0, 2, 6
Let f(y) be the second derivative of -y**7/210 - 2*y**6/75 - y**5/25 - y + 129. Let f(a) = 0. What is a?
-2, 0
Let h(q) be the third derivative of -q**6/2880 - q**5/96 - 25*q**4/192 - q**3/6 + 15*q**2. Let m(k) be the first derivative of h(k). Let m(l) = 0. Calculate l.
-5
Let p(k) = -79*k**2 + 27*k + 25. Let i(s) = 40*s**2 - 14*s - 12. Let a(u) = 5*i(u) + 2*p(u). Suppose a(c) = 0. What is c?
-1/3, 5/7
Let w(b) be the first derivative of b**7/105 - b**6/60 - b**5/15 - 11*b**2 + 26. Let c(k) be the second derivative of w(k). Determine h so that c(h) = 0.
-1, 0, 2
Let y(s) be the third derivative of 2*s**5/3 + 35*s**4/24 - 5*s**3/6 - 126*s**2. Factor y(a).
5*(a + 1)*(8*a - 1)
Let h(a) be the third derivative of -27*a**2 + 0*a - 1/360*a**5 + 0*a**3 + 1/72*a**4 + 0 - 1/720*a**6. Factor h(d).
-d*(d - 1)*(d + 2)/6
Let y(g) be the first derivative of -g**8/6720 - g**7/3360 + 20*g**3/3 - 37. Let b(w) be the third derivative of y(w). Factor b(k).
-k**3*(k + 1)/4
Factor 0*i**4 - i**4 - 55*i - 64*i**2 - 17*i**2 + 15*i - 42*i**3.
-i*(i + 1)**2*(i + 40)
Let p(q) be the third derivative of q**6/900 - q**5/150 + q**4/60 - q**3/3 - 11*q**2. Let t(r) be the first derivative of p(r). Factor t(o).
2*(o - 1)**2/5
Let x(s) be the first derivative of 0*s**2 - s**4 + 0*s + 0*s**3 + 20 - 3*s**6 + 22/5*s**5. What is g in x(g) = 0?
0, 2/9, 1
Let o = 362 + -362. Let u(r) be the second derivative of 1/10*r**6 + 0*r**5 + o*r**2 + 0 - 7*r + 0*r**4 + 0*r**3 + 1/14*r**7. Factor u(v).
3*v**4*(v + 1)
Suppose t - 4 = -5*i, 0 = t - 4. Let a(l) be the first derivative of 1/14*l**4 + i*l**3 - 8 + 0*l**2 + 4/35*l**5 + 0*l + 1/21*l**6. What is n in a(n) = 0?
-1, 0
Let x(a) be the second derivative of -a**5/20 - 43*a**4/12 + a**3/6 + 43*a**2/2 - 2*a - 2. Factor x(h).
-(h - 1)*(h + 1)*(h + 43)
Let r = -106 - -323/3. Factor -1/3*f**4 + f + 1/3*f**3 + 0 + r*f**2.
-f*(f - 3)*(f + 1)**2/3
Let d(i) be the second derivative of 1/17*i**4 - 5*i + 1/255*i**6 + 0 + 1/17*i**2 + 4/51*i**3 + 2/85*i**5. Determine r, given that d(r) = 0.
-1
Let q(s) be the second derivative of -s**7/12600 + 7*s**6/3600 - s**5/60 - 3*s**4/4 + 7*s. Let a(v) be the third derivative of q(v). Factor a(t).
-(t - 5)*(t - 2)/5
Let a(j) be the first derivative of -48*j**3 + 12*j**2 - j - 834. Factor a(t).
-(12*t - 1)**2
Let a(l) be the second derivative of -l**5/90 + 2*l**4/27 - l**3/9 - 2*l - 29. Factor a(w).
-2*w*(w - 3)*(w - 1)/9
Let u(g) = -g**2 - g. Let b(r) be the second derivative of -r**5/10 + r**4/2 - 2*r**3 + 2*r**2 - 3*r. Let q(f) = 2*b(f) - 4*u(f). Factor q(p).
-4*(p - 2)*(p - 1)**2
Let c(b) = 7*b**2 - 3*b + 17. Let q(g) = -10*g**2 + 5*g - 25. Let h(t) = -7*c(t) - 5*q(t). Let d be h(3). Solve 0 - 3/2*r**2 + 3/2*r**3 - d*r = 0 for r.
-1, 0, 2
Let f(w) be the first derivative of 0*w - 2/15*w**5 - 7 + 1/6*w**4 + 0*w**2 - 2/27*w**3 + 1/27*w**6. Factor f(s).
2*s**2*(s - 1)**3/9
Let b(a) = a**3 + 12*a**2 + 15*a + 16. Let g be b(-10). Solve g*u - 39*u + u**2 + 12 - 34*u = 0 for u.
3, 4
Let d(f) = -39*f + 43. Let s be d(1). Solve 15/7*j**3 - 9/7*j**2 + 0 - 3/7*j**s + 0*j - 3/7*j**5 = 0.
-3, 0, 1
Solve 3/2*s**4 + 2916*s**2 + 157464 - 108*s**3 - 34992*s = 0 for s.
18
Let f(c) = -4*c**4 + 3*c**3 - 5. Let q(d) = -d**4 + d**3 - 1. Let s(n) = -f(n) + 5*q(n). Solve s(k) = 0 for k.
0, 2
Let x = 21345 + -21340. Solve 1/3*y**x - 9*y - 22/3*y**3 - 7/3 - 38/3*y**2 - y**4 = 0.
-1, 7
Let f(w) be the third derivative of w**8/221760 + w**7/3960 + 49*w**6/7920 + 7*w**5/60 - 14*w**2. Let r(p) be the third derivative of f(p). Factor r(u).
(u + 7)**2/11
Suppose 20 = -2*z - 3*u + 9, -26 = -3*z + 4*u. Let g be (z - 6)*(16/(-12) - 0). Find i such that -g*i**3 - 8/3*i - 28/3*i**2 + 4/3 = 0.
-1, 1/4
Let m(q) be the first derivative of -15*q**2 - 4*q**5 + 55/3*q**3 + 5*q**4 - 10 - 45*q. Solve m(i) = 0.
-1, 3/2
Let o(s) = -s**2 - 26*s - 44. Let m = -121 + 97. Let v be o(m). Factor 2/3*h + 4/9*h**2 + 2/9 - 2/3*h**v - 2/9*h**5 - 4/9*h**3.
-2*(h - 1)*(h + 1)**4/9
Let a(c) be the first derivative of -c**6/2 + 6*c**5/5 - 2*c**3 + 3*c**2/2 + 3. Factor a(d).
-3*d*(d - 1)**3*(d + 1)
Suppose y - 33 = -5*b - 3*y, 4*y - 18 = -2*b. Suppose 5 = b*n - 5. Factor 7*m**3 + 273*m**2 + m - 282*m**n + m.
m*(m - 1)*(7*m - 2)
Factor -5*u**2 + 171*u - 2797 - 27*u - 11248 + 386*u.
-5*(u - 53)**2
Let m be (-2*(-3)/(-18))/((-2)/12). Suppose 2 - g**m + 6 - 10*g + 3*g**2 = 0. What is g?
1, 4
Let i be (-1 + -4)*260/(-325). Let 0 + 0*w**3 + 0*w - 1/2*w**i + 1/2*w**2 = 0. Calculate w.
-1, 0, 1
Let k(b) be the third derivative of -b**5/100 + 11*b**4/30 - 14*b**3/15 + 2*b**2 + 18*b. Factor k(n).
-(n - 14)*(3*n - 2)/5
Let f(w) = -8*w**2 - 500*w + 25. Let v(y) = 33*y**2 + 2001*y - 105. Let j(z) = -21*f(z) - 5*v(z). Factor j(t).
3*t*(t + 165)
Find i, given that 25/6 + 1/6*i**2 + 13/3*i = 0.
-25, -1
Let k(s) be the third derivative of 5*s**8/336 + s**7/42 - s**6/24 - s**5/12 - 4*s**2 + 38*s. Factor k(a).
5*a**2*(a - 1)*(a + 1)**2
Let n(h) be the first derivative of 2*h**3/3 - 170*h**2 + 14450*h + 110. Determine q, given that n(q) = 0.
85
Let 232/11 - 2/11*n**3 + 50/11*n**2 + 224/11*n = 0. Calculate n.
-2, 29
Let g(b) be the second derivative of -b**5/20 - 3*b**4/2 - 18*b**3 - 108*b**2 - 49*b. Determine x, given that g(x) = 0.
-6
Factor -42/13*n**2 + 18/13*n**3 + 38/13*n - 2/13*n**4 - 12/13.
-2*(n - 6)*(n - 1)**3/13
Let o(c) be the second derivative of c**4/3 + 4*c**3 + 10*c**2 + 148*c. Let o(z) = 0. What is z?
-5, -1
Let u(c) = -7*c**3 + 4*c**2 - 5*c + 2. Let p(q) = 50*q**2 + 2*q**3 - 50*q**2. Let s(k) = 6*p(k) + 2*u(k). Let s(h) = 0. Calculate h.
1, 2
Let r = 58 - 64. Let m be (1 + 1 - -1) + r + 8. Factor -2/3*u**m + 0 + 2/3*u**3 + 0*u + 0*u**4 + 0*u**2.
-2*u**3*(u - 1)*(u + 1)/3
Suppose -2*j + 4*b - 4 = 0, -j = 3*j - 5*b - 1. Let i(m) be the second derivative of 0 - 1/3*m**4 + m - 18*m**2 - j*m**3. Factor i(d).
-4*(d + 3)**2
Let k(v) be the second derivative of -5*v**7/42 - 7*v**6/6 - 19*v**5/4 - 125*v**4/12 - 40*v**3/3 - 10*v**2 - v + 9. Factor k(p).
-5*(p + 1)**3*(p + 2)**2
Let b(z) be the second derivative of 0*z**6 + 0 + 0*z**2 + 16*z + 1/39*z**4 - 1/273*z**7 + 3/130*z**5 + 0*z**3. Find r, given that b(r) = 0.
-1, 0, 2
Let n(k) be the first derivative of -k**8/420 - k**7/105 - 37*k**3/3 + 40. Let a(j) be the third derivative of n(j). What is c in a(c) = 0?
-2, 0
Suppose 0 = -4*r - 2441 + 2457. Let d(t) be the second derivative of -7*t + 0 + 1/24*t**3 + 1/48*t**r + 0*t**2. Suppose d(c) = 0. What is c?
-1, 0
Let j(v) = 7*v**3 + 40*v**2 + 69*v - 8. Let l(z) = z**3 + z**2 - 3*z - 2. Let y(t) = j(t) - 4*l(t). Find u such that y(u) = 0.
-9, -3, 0
Let c(p) be the third derivative of -p**8/84 + 4*p**7/21 - 8*p**6/15 - 2*p**5/15 + 17*p**4/6 - 16*p**3/3 - 14*p**2 + 12. Factor c(n).
-4*(n - 8)*(n - 1)**3*(n + 1)
Let a = -269 - -274. Let f(g) be the first derivative of 0*g - 3 + 4/27*g**3 - 1/9*g**2 + 0*g**4 + 1/27*g**6 - 4/45*g**a. Factor f(n).
2*n*(n - 1)**3*(n + 1)/9
Determine r, given that -1/10*r**3 - 1/10*r**2 + 9/10*r + 9/10 = 0.
-3, -1, 3
Let c(q) be the third derivative of 0 - 7/12*q**3 + 1/120*q**5 + 24*q**2 + 0*q + 1/8*q**4. Let c(t) = 0. What is t?
-7, 1
Let 3*z**4 + 5 - 3*z**3 - 9*z**2 + 3*z + 4 - 9 + 6 = 0. What is z?
-1, 