t**4 + 2/7*t**2 + 4/7*t**y - 4/7*t + 0 = 0. Calculate t.
-1, 0, 1, 2
Let c(v) = -v**4 + v**3 - v**2 + v. Let n(q) = -3*q**5 - 27*q**4 - 39*q**3 - 33*q**2 + 6*q. Let z(y) = 6*c(y) - n(y). Factor z(o).
3*o**2*(o + 1)*(o + 3)**2
Let x(t) be the second derivative of 9*t + 27/10*t**5 + 1/3*t**6 - 1 + 25/3*t**4 + 8*t**2 + 12*t**3. Let x(z) = 0. Calculate z.
-2, -1, -2/5
Let m(j) = 12 + 4*j - 2*j - 34. Let z be m(12). Determine y so that -z*y**2 - 87*y - 34 - 16 + 107*y = 0.
5
Let 78/5*d**2 - 32 - 92/5*d + 8/5*d**3 - 2/5*d**4 = 0. Calculate d.
-5, -1, 2, 8
Let d(k) be the third derivative of 25*k**2 + 1/30*k**5 + 1/24*k**4 + 0*k**3 + 1/120*k**6 + 0 + 0*k. Factor d(t).
t*(t + 1)**2
Suppose -2*m + 3*m - 3*j - 1 = 0, 0 = 4*m - 4*j - 20. Let i = 8 - m. Determine z so that -5/2*z - 2*z**2 - 1/2*z**3 - i = 0.
-2, -1
Let i(w) be the first derivative of 14*w + 3*w**2 + w**2 + 8 - 2*w**3 - 1 - 2*w**3. Let q(k) = k**2 - k - 1. Let v(j) = -i(j) - 10*q(j). Factor v(x).
2*(x - 1)*(x + 2)
Suppose 28/3*u**3 + 6*u**4 - 4/3*u**2 - 14/3 - 10*u + 2/3*u**5 = 0. Calculate u.
-7, -1, 1
Let i be -8 + -14*(-30)/35. Suppose -3/11*p + 3/11*p**3 + 2/11 - 1/11*p**2 - 1/11*p**i = 0. Calculate p.
-1, 1, 2
Let h(b) = -28*b**3 + 476*b**2 + 8*b - 536. Let a(d) = -4*d**3 + 68*d**2 + d - 77. Let v(j) = 20*a(j) - 3*h(j). Factor v(z).
4*(z - 17)*(z - 1)*(z + 1)
Let q(u) be the second derivative of -2*u**7/525 - u**6/100 + u**4/60 - 7*u**2/2 + 13*u. Let r(x) be the first derivative of q(x). Factor r(o).
-2*o*(o + 1)**2*(2*o - 1)/5
Let n(g) be the third derivative of -g**6/120 + 2*g**5/15 - 5*g**4/8 - g**2 + 3. Solve n(b) = 0 for b.
0, 3, 5
Let x(h) be the third derivative of -1/330*h**5 + 0 + 1/66*h**4 - 1/33*h**3 + 39*h**2 + 0*h. Factor x(q).
-2*(q - 1)**2/11
Let s(o) be the third derivative of -o**2 + 1/240*o**6 + 0*o - 13 + 5/3*o**4 - 17/120*o**5 - 16/3*o**3. Factor s(z).
(z - 8)**2*(z - 1)/2
Solve -32*z**2 - 220/3*z**4 - 108 + 16/3*z**5 - 456*z + 712/3*z**3 = 0.
-1, -1/4, 3, 9
Let q(x) be the third derivative of -x**6/480 - 13*x**5/240 + x**4/96 + 13*x**3/24 - 6*x**2 + 1. Solve q(j) = 0 for j.
-13, -1, 1
Let f(p) be the second derivative of 0 + 0*p**3 + 1/90*p**5 - 9*p - 1/27*p**4 + 0*p**2 + 1/135*p**6. Factor f(i).
2*i**2*(i - 1)*(i + 2)/9
Let x(d) be the third derivative of -d**5/160 - 5*d**4/64 - 3*d**3/8 + 54*d**2. Factor x(q).
-3*(q + 2)*(q + 3)/8
Suppose 3*o - 10 = -2*o. Determine v so that v**o + 8*v**3 + v**3 - 6*v**3 + 3*v - 7*v**2 = 0.
0, 1
Suppose 0 = -52*y + 57*y. Let g(u) be the third derivative of 1/4*u**4 + 0*u**3 + 4*u**2 - 1/20*u**5 + y*u + 0. Factor g(t).
-3*t*(t - 2)
Let a(p) = 7*p**4 - 22*p**3 + 29*p**2 - 10*p + 1. Let l(n) = -303*n + 303*n - n**2. Let y(v) = -a(v) - 5*l(v). Let y(o) = 0. What is o?
1/7, 1
Factor -24/7*x + 3/7*x**2 + 48/7.
3*(x - 4)**2/7
Suppose z - 1 = 4. Solve 8*t + 2*t**2 + 18 + z*t - t = 0.
-3
Suppose 14*m - 12 = 2. Let a be (m - 2) + 33/21. Let 2/7*f - a + 2/7*f**2 = 0. Calculate f.
-2, 1
Let a(l) = -4*l + 10. Let v be a(4). Let g be 3/v*14*(-200)/90. Factor 16/9 + 50/9*x**3 + 88/9*x + g*x**2.
2*(x + 2)*(5*x + 2)**2/9
Let t be 0 - 0/(-1) - -2. Suppose -t*a = -a. Let g - 36*g**2 - 52*g**3 - g + a + 4*g + 8 - 20*g**4 = 0. What is g?
-1, 2/5
Let x(q) be the first derivative of -q**7/420 + q**5/20 - q**4/6 + q**3/4 - 9*q**2 + 7. Let w(t) be the second derivative of x(t). Factor w(s).
-(s - 1)**3*(s + 3)/2
Factor 130/7*s**3 + 374/7*s - 54*s**2 - 2/7*s**4 - 124/7.
-2*(s - 62)*(s - 1)**3/7
Let n(z) be the third derivative of z**5/30 - 4*z**4/3 + 28*z**3/3 + 40*z**2 - 8. Factor n(r).
2*(r - 14)*(r - 2)
Let a(y) be the first derivative of 7*y - 3/2*y**2 - 2/3*y**3 + 11. Let r(w) = -w**2 - 2*w + 4. Let b(s) = 4*a(s) - 7*r(s). Factor b(z).
-z*(z - 2)
Factor -3/4*s**2 + 63/4 + 15*s.
-3*(s - 21)*(s + 1)/4
Let x(s) be the third derivative of s**6/40 + s**5/10 - 5*s**4/8 - 3*s**3 + 65*s**2. Factor x(d).
3*(d - 2)*(d + 1)*(d + 3)
Let f be (-1)/2*(-8 - -4). Suppose -x = -2*s - 9, s = 4 - 7. Factor 21/5*n**4 - 24/5*n**x - 6/5*n**5 - 3/5 + 6/5*n**f + 6/5*n.
-3*(n - 1)**4*(2*n + 1)/5
Factor 0*a**2 + 0*a**3 + 4/9*a**5 + 40/9*a**4 + 0 + 0*a.
4*a**4*(a + 10)/9
Let p be ((-40)/32)/(70/(-112)). Determine i so that 2/11*i**p + 6/11*i + 0 = 0.
-3, 0
Suppose 0 = 4*h - 6 - 2. Factor -35 + 47 - 2*p**2 - p**h.
-3*(p - 2)*(p + 2)
Suppose -5*v - 5 = 5*x, -38 + 3 = -5*v + 3*x. Determine a, given that -71*a**2 - 8*a + v + 146*a**2 - 71*a**2 = 0.
1
Let i(k) be the second derivative of -k**5/60 + 43*k**4/12 - 64*k**3/9 - 5*k + 48. Find c such that i(c) = 0.
0, 1, 128
Let n(m) be the first derivative of 2*m**5/5 + 7*m**4/18 - 76*m**3/27 - 28*m**2/9 + 16*m/9 - 342. Find s, given that n(s) = 0.
-2, -1, 2/9, 2
Determine n, given that 2/7*n**3 - 1/7 + 1/7*n**4 + 0*n**2 - 2/7*n = 0.
-1, 1
Suppose -5*o = -5*g + 85, 0*g - 4*g = -20. Let n = -9 - o. Factor 3*i - i**2 - 2*i + 3 - 2 - i**n.
-(i - 1)*(i + 1)**2
Factor 2/7*j**3 + 0 - 4*j - 10/7*j**2.
2*j*(j - 7)*(j + 2)/7
Let g(v) be the second derivative of 0 - 4/25*v**2 + 1/150*v**4 + 11*v + 1/25*v**3. Let g(o) = 0. What is o?
-4, 1
Let b(o) = 8*o**3 - 12*o**2 + 15*o - 5. Let x(s) be the third derivative of s**6/120 + s**5/60 - 29*s**2. Let u(v) = -b(v) + 3*x(v). Factor u(m).
-5*(m - 1)**3
Suppose -5*v = 0, -r - r + 12 = 5*v. Suppose -17 = -4*u - i, u - 8 = 2*i - r*i. Find k such that -302*k**2 + 302*k**2 - 3*k**u - 3*k**3 = 0.
-1, 0
Suppose 120*g = 116*g + 8. Factor -1/4*p**g + 3/2*p - 5/4.
-(p - 5)*(p - 1)/4
Factor -69330 + 578*l + 69330 + 510*l**2 - 66*l**3 + 2*l**4.
2*l*(l - 17)**2*(l + 1)
Solve -2*u - 25*u**2 - 5*u**5 + 105*u**2 + 0*u + 2*u + 60*u**3 = 0 for u.
-2, 0, 4
Let g(v) = -2. Let p(w) = -1. Let u(x) = -g(x) + 3*p(x). Let o(i) = -i**2 - 2*i + 4. Let d = -1 + 2. Let j(b) = d*o(b) + 5*u(b). Determine n so that j(n) = 0.
-1
Let u(o) be the third derivative of -14*o**5/75 + 17*o**4/30 - 2*o**3/5 - 17*o**2 - 24. Find s such that u(s) = 0.
3/14, 1
Let t be 35/14 + (2 - 5/2). Suppose t*f - 116 + 108 = 0. Factor 4/11*z**3 - 2/11 + 2/11*z**f - 4/11*z + 0*z**2.
2*(z - 1)*(z + 1)**3/11
Let j(i) = -3*i**5 + 7*i**4 + 9*i**3 - 19*i**2 + 16*i - 4. Let c(s) = -s**4 - s**3 - s**2. Let y(l) = 2*c(l) + j(l). Factor y(k).
-(k - 1)**3*(k + 2)*(3*k - 2)
Let x(k) = 3*k**2 - 1. Let l be x(-2). Suppose 5*j = -4*i + l - 3, -4*j = 0. What is d in -i*d + 5*d + 2*d**2 - d**3 - 4*d = 0?
0, 1
Suppose 0 = -3*v + 4*s - 256, -2*v - s = 195 - 6. Let k = v + 461/5. Suppose 2/5 + k*d**2 - 3/5*d = 0. Calculate d.
1, 2
Let y(x) be the first derivative of x**6 - 26*x**5/5 + 17*x**4/2 - 2*x**3 - 8*x**2 + 8*x - 146. What is m in y(m) = 0?
-2/3, 1, 2
Suppose -5*h - y - 28 = 0, -8*y - 20 = 5*h - 3*y. Let m(i) = -i**2 - 1. Let x(z) = -z**4 + 4*z**2 + 1. Let a(t) = h*m(t) - 3*x(t). Factor a(b).
3*(b - 1)**2*(b + 1)**2
Suppose 52 = -21*b + 136. Let g(c) be the second derivative of 0 + 1/24*c**b - 1/36*c**3 - 1/180*c**6 + 1/120*c**5 - 9*c - 1/6*c**2. Factor g(r).
-(r - 2)*(r - 1)*(r + 1)**2/6
Let y(x) be the third derivative of -x**5/60 + x**4/6 + 7*x**3/6 + 7*x**2. Let f be y(5). Factor 0 + 0*z - f*z + 4 - 3 + z**2.
(z - 1)**2
Solve 8/5 - 2*k + 2/5*k**2 = 0.
1, 4
Let d = 22 + -42. Let u be d/35 - 752/(-140). Find s, given that -4/5 - 49/5*s**3 + u*s - 21/5*s**2 = 0.
-1, 2/7
Find b, given that -194 - 2*b**2 - 1523*b - 78 + 1255*b - 62*b**2 + b**3 = 0.
-2, 68
Let b be -12*4/728*(-28)/16. Let x(i) be the first derivative of 0*i + 0*i**3 - 2/65*i**5 - 4/13*i**2 + b*i**4 - 5. Factor x(s).
-2*s*(s - 2)**2*(s + 1)/13
Let d(g) be the first derivative of 2*g**5/85 + 10*g**4/17 - 46*g**3/17 + 642. Find c, given that d(c) = 0.
-23, 0, 3
Let k(o) be the first derivative of 1/5*o**4 - 2/5*o**2 + 3/25*o**5 - 2/15*o**3 - 15 - 1/5*o. Factor k(n).
(n - 1)*(n + 1)**2*(3*n + 1)/5
Let p(g) be the first derivative of 5*g**4/4 - 10*g**3/3 - 10*g**2 + 40*g + 516. Factor p(n).
5*(n - 2)**2*(n + 2)
Let o(j) = -101*j**5 - 149*j**4 - 54*j**3 - j**2 - 5. Let b(r) = -152*r**5 - 224*r**4 - 81*r**3 - r**2 - 8. Let p(c) = 5*b(c) - 8*o(c). Factor p(y).
3*y**2*(y + 1)*(4*y + 1)**2
Factor -3 - 2*s**4 + 8*s - 4 - 19*s**2 + 25*s**2 - 4*s**3 - 1.
-2*(s - 1)**2*(s + 2)**2
Solve -39*q - 9/2*q**2 + 3/2*q**4 - 24 + 12*q**3 = 0.
-8, -1, 2
Suppose -10 = g - 4. Let p be 14/4 + 9/g. Solve 0 + 1/2*a - 1/2*a**p = 0