rst derivative of -1 - 1/4*q**b - 1/6*q**3 + q. Factor w(p).
-(p - 1)*(p + 2)/2
Let d = 128/5 + -767/30. Let x(s) be the third derivative of 0 - 1/24*s**4 - 7*s**2 + 1/3*s**3 + 0*s + 1/120*s**6 - d*s**5. Factor x(b).
(b - 2)*(b - 1)*(b + 1)
What is y in -128 - 280*y + 5*y**2 - 143 - 5 - 9*y**2 = 0?
-69, -1
Let v be 30/8 + -4 + 2734/8. Let j = v - 335. Suppose 6*y + 3*y**3 - 1/2*y**4 - 2 - j*y**2 = 0. Calculate y.
1, 2
Let u(l) = l**2 - 11*l - 13. Let s be u(6). Let y = s - -43. Factor -3/7*g**4 + 0 - 6/7*g + 9/7*g**2 + y*g**3.
-3*g*(g - 1)**2*(g + 2)/7
Let n(m) = m**3 + 90*m**2 + 1242*m + 73. Let j be n(-73). Solve 0 - 2/5*t**3 - 1/5*t**4 + j*t - 1/5*t**2 = 0.
-1, 0
Suppose -4*c = k - 6, 0 = 3*k + 3*c - 198 + 189. Let -32/3*t - 4/3*t**3 - 20/3*t**k - 16/3 = 0. Calculate t.
-2, -1
Let t(p) be the second derivative of p**4/30 + 13*p**3/5 - 8*p**2 - 219*p + 2. Suppose t(a) = 0. Calculate a.
-40, 1
Suppose 13*n = -148 + 200. Let x(l) be the first derivative of 0*l**5 + 2 - 1/18*l**n + 1/27*l**6 + 0*l + 0*l**3 + 0*l**2. Let x(g) = 0. What is g?
-1, 0, 1
Let f(n) be the second derivative of n**8/504 + n**7/105 + n**6/90 + 13*n**2/2 + 11*n. Let p(k) be the first derivative of f(k). Determine a so that p(a) = 0.
-2, -1, 0
Factor 0 - 5/3*s**2 - 4/3*s**3 - 1/3*s.
-s*(s + 1)*(4*s + 1)/3
Let u = -431 + 1310/3. Let z = u + -101/21. Factor 4/7*d**3 - z*d + 2/7*d**5 + 6/7*d**4 - 2/7 - 4/7*d**2.
2*(d - 1)*(d + 1)**4/7
Let n(h) be the third derivative of -8*h**7/105 - h**6/2 - 7*h**5/5 - 13*h**4/6 - 2*h**3 - 4*h**2 - 3*h. Factor n(k).
-4*(k + 1)**3*(4*k + 3)
Suppose 1886*v + 32 = 1894*v. Let y(o) be the first derivative of 4/15*o**3 + 9/10*o**v + 14/25*o**5 + 7 + 0*o**2 + 0*o. Suppose y(x) = 0. What is x?
-1, -2/7, 0
Solve 2126*f**3 + 10*f**2 + 2*f - 2135*f**3 - 4*f**4 + f = 0.
-3, -1/4, 0, 1
Find p such that 3*p - 27/2*p**2 + 3*p**3 + 27/2*p**4 - 6*p**5 + 0 = 0.
-1, 0, 1/4, 1, 2
Suppose 2*j - 16 = -28. Let v be (-68)/28 - j/2. Factor -v*o - 2/7 - 2/7*o**2.
-2*(o + 1)**2/7
Let 5/2*m - 1 + 1/2*m**3 - 2*m**2 = 0. What is m?
1, 2
Factor 12/5*n**4 - 4/5*n**5 + 4/5*n**2 + 0 + 0*n - 12/5*n**3.
-4*n**2*(n - 1)**3/5
Suppose 2 = 2*q + x, -4*q = -2*x - 16 - 4. Let h = 8 - q. Factor h*v**2 + 4*v**4 - 2*v**2 - 7*v**4.
-3*v**2*(v - 1)*(v + 1)
Suppose g + 3*l = -2*l + 7, -g - 3 = -5*l. Factor -5*m**3 - 48*m - 32 + 18*m**g - 14*m**3 - m**3 + 54*m**2.
-4*(m - 2)**2*(5*m + 2)
Let k(n) be the third derivative of -n**8/616 - 8*n**7/1155 + n**6/110 + 4*n**5/165 - n**4/44 + 92*n**2. Let k(r) = 0. Calculate r.
-3, -1, 0, 1/3, 1
Let n(i) be the first derivative of i**4/4 + 3*i**3 + 12*i**2 + 16*i - 87. Find v, given that n(v) = 0.
-4, -1
Let n(x) be the first derivative of x**8/560 - x**7/175 + x**5/50 - x**4/40 - 5*x**2/2 + 3. Let l(k) be the second derivative of n(k). Factor l(t).
3*t*(t - 1)**3*(t + 1)/5
Suppose -5*i = -15 - 0. Suppose 21*s**i + 5*s**5 - 4*s**4 - 5*s**2 - 6*s**3 - 14*s**4 + 3*s**4 = 0. Calculate s.
0, 1
Suppose -2707*d + 2727*d = 40. Determine x so that 22/7 - 130/7*x + 186/7*x**d + 18/7*x**3 = 0.
-11, 1/3
Let b(c) be the second derivative of -c**5/80 - c**4/16 + c**3/24 + 3*c**2/8 - 2*c + 5. Factor b(t).
-(t - 1)*(t + 1)*(t + 3)/4
Let f be (-3)/(-4 + 7)*-5. Suppose -n + 14 = f*k, 0 = -0*k + k - 4*n + 14. Solve 0*w**5 + 21*w**2 - 17*w**k + 3*w**3 + w**5 - 4*w - 4*w**4 = 0 for w.
-1, 0, 1, 2
Let y(v) = -v**2 - 2. Let t(o) = 6*o**2 + 57*o + 144. Let p(l) = -t(l) - 9*y(l). Factor p(d).
3*(d - 21)*(d + 2)
Let p(o) = o**2 - 7. Let z be p(3). Suppose -30*g**3 + g**4 + 16*g**3 + g**z + 12*g**3 = 0. What is g?
0, 1
Let c(a) = 2*a**2 + 3*a - 4. Let d be c(-3). Let v(b) = -6*b + 32. Let n be v(d). Find k such that -4/13*k**n - 2/13*k**4 + 6/13*k**3 + 0*k + 0 = 0.
0, 1, 2
Let y be (-3)/(17 - -1) - (-143)/66. Factor 7/4 + 6*o + 15/2*o**y + 3/4*o**4 + 4*o**3.
(o + 1)**3*(3*o + 7)/4
Let d = 13 - -169. Let j = d - 180. Factor 0 - 9/4*f + 3/4*f**j.
3*f*(f - 3)/4
Factor 4*z - 5*z + 7*z - 3*z**3 + 8*z + 10*z - 3*z**2 + 36.
-3*(z - 3)*(z + 2)**2
Let x = -1153/13 + 89. Suppose -11*q = -14*q - 15, 0 = 3*t - q - 17. Let 0*u + 0 - 10/13*u**t - x*u**2 + 14/13*u**3 = 0. Calculate u.
0, 2/5, 1
Determine x so that 2*x**5 - 6*x**5 - 120*x**4 - 86*x**3 - 59*x**3 + 29*x**3 = 0.
-29, -1, 0
Find v such that 57 - 87 + 45 - 2*v**3 + 21*v**2 - v**3 - 33*v = 0.
1, 5
Let h(x) = 36*x**2 + 106*x + 22. Let c be 57/15 + -4 - 62/(-10). Let p(z) = -5*z**2 - 15*z - 3. Let a(d) = c*h(d) + 44*p(d). Factor a(y).
-4*y*(y + 6)
Let k(q) be the third derivative of -q**6/160 + 3*q**5/80 + q**4/8 + 297*q**2. Factor k(m).
-3*m*(m - 4)*(m + 1)/4
Let g(t) be the first derivative of -3*t**4/28 + t**3/7 + 9*t**2/7 - 52. Factor g(f).
-3*f*(f - 3)*(f + 2)/7
Let w = -6908 + 20726/3. Factor -4/3*p**3 + w*p + 0*p**4 + 0*p**2 + 0 + 2/3*p**5.
2*p*(p - 1)**2*(p + 1)**2/3
Let p(d) = 5*d**3 + 8*d**2 - 2*d - 8. Let r(n) be the second derivative of n**4/12 + n**3/6 - n**2/2 + 13*n. Let t(g) = -p(g) + 3*r(g). Factor t(m).
-5*(m - 1)*(m + 1)**2
Let r be 41308/7184 - ((-3)/(-4) - 0). Factor 4/5*t**r + 8/5*t**2 + 2/5*t**3 - 9/5*t**4 + 1/5 - 6/5*t.
(t - 1)**3*(t + 1)*(4*t - 1)/5
Let u(m) be the third derivative of -m**6/48 - m**5/15 + 7*m**4/48 + m**3/2 + 18*m**2 - 5*m. Find k such that u(k) = 0.
-2, -3/5, 1
Suppose 32 = 5*h + 3*f, -9*h - 5*f = -14*h. Let l(g) be the first derivative of 0*g + 1/20*g**4 - 1/15*g**3 - 1/10*g**2 + h + 1/25*g**5. Factor l(o).
o*(o - 1)*(o + 1)**2/5
Let r(f) be the first derivative of 2*f**5/5 + 229*f**4/5 - 368*f**3/15 - 111. Suppose r(m) = 0. Calculate m.
-92, 0, 2/5
Let m(v) = -24*v + 76. Let t(r) = 5*r - 15. Let a(p) = 3*m(p) + 14*t(p). Let f be a(8). Factor -7 + 2*x**2 + 7 - 2*x**3 + f*x - 2.
-2*(x - 1)**2*(x + 1)
Let j(t) be the second derivative of -t**5/50 - 17*t**4/30 - 88*t**3/15 - 144*t**2/5 - 46*t - 2. Determine c so that j(c) = 0.
-9, -4
Let x be 28/(-6)*72/(-28). Let m = -8 + x. Factor 2*p**4 + 10*p**2 + 4*p**3 - p**3 + 5*p**3 + m*p.
2*p*(p + 1)**2*(p + 2)
Factor -4/7*q**3 - 4/7 + 4/7*q**2 + 4/7*q.
-4*(q - 1)**2*(q + 1)/7
Suppose 28*u = 66*u - 37*u. Solve u*d - 8/9 + 2/3*d**2 + 2/9*d**3 = 0.
-2, 1
Let l(y) = -y**3 - 42*y**2 + 83*y - 61. Let o(m) = 21*m**2 - 42*m + 30. Let z(b) = 3*l(b) + 7*o(b). Factor z(t).
-3*(t - 3)**2*(t - 1)
Let h(j) be the first derivative of 3*j**5/5 - 9*j**4/2 - 35*j**3 - 72*j**2 - 60*j - 26. Let h(q) = 0. Calculate q.
-2, -1, 10
Let k(v) be the third derivative of 1/20*v**6 - 1/168*v**8 + 1/105*v**7 + 0 - 10*v**2 + 0*v**3 - 1/6*v**4 + 0*v - 1/30*v**5. Determine s, given that k(s) = 0.
-1, 0, 1, 2
Find a, given that 64*a - 12*a**2 - 5*a**2 + 5*a**2 + 28 + 20 = 0.
-2/3, 6
Factor 4*m**3 + 0*m + 0 + 0*m**2 - 2/7*m**4.
-2*m**3*(m - 14)/7
Factor 1/2*z**3 + 3/2*z**2 + z + 0.
z*(z + 1)*(z + 2)/2
Let j(g) be the second derivative of g**4/6 + 13*g**3/3 - 30*g**2 - 3*g + 19. Factor j(p).
2*(p - 2)*(p + 15)
Let c(m) be the first derivative of -2/9*m**3 - 4*m + 7/3*m**2 + 28. Factor c(w).
-2*(w - 6)*(w - 1)/3
Let y(c) be the first derivative of c**5/20 - 3*c**4/16 - c**3/4 + 11*c**2/8 - 3*c/2 + 56. Factor y(l).
(l - 3)*(l - 1)**2*(l + 2)/4
Find t, given that -2*t**2 + 14/5*t - 14/5*t**3 + 12/5 - 2/5*t**4 = 0.
-6, -1, 1
Let h(o) be the second derivative of -o**9/24192 - o**8/6720 - 5*o**3/3 + 12*o. Let r(q) be the second derivative of h(q). Factor r(m).
-m**4*(m + 2)/8
Let h be -5 + (-15)/(-3) - 324/(-50). Let y = -72/25 + h. Solve -36/5*t**2 - 4/5 + 22/5*t + y*t**3 = 0 for t.
1/3, 2/3, 1
Let -214 + 32*w + 99 + 87 - 4*w**2 = 0. Calculate w.
1, 7
Let t(r) be the second derivative of -r**7/280 + r**6/20 - 3*r**5/10 + r**4 + 4*r**3/3 - 19*r. Let c(s) be the second derivative of t(s). What is x in c(x) = 0?
2
Let t(q) be the third derivative of q**6/300 - 19*q**5/450 + 4*q**4/45 + 4*q**3/9 - 4*q**2 + 2. Find z, given that t(z) = 0.
-2/3, 2, 5
Let n = -42948 + 128845/3. Factor 0*v + 0 - n*v**2 - 1/6*v**4 - 1/2*v**3.
-v**2*(v + 1)*(v + 2)/6
Factor 116/5*q - 224/5 - 2/5*q**2.
-2*(q - 56)*(q - 2)/5
Let x(y) be the second derivative of y**6/50 + 153*y**5/100 + 135*y**4/4 + 125*y**3/2 + 24*y + 2. Factor x(b).
3*b*(b + 1)*(b + 25)**2/5
Suppose 5*b + 4*p - 10 = -p, -p + 10 = 5*b. Suppose v + b*o + 4 = -2*o, 0 = 5*v + 2*o + 2. Find j such that v - j - 7/2*j**4 + 7/2*j**2 + j**3 = 0.
-1, 0, 