3*o**3 + 1/2*o**4 + 0*o - 1/6*o**5.
-o**3*(o - 4)*(o + 1)/6
Let z(y) be the second derivative of -3*y**5/100 - 279*y**4/20 - 25947*y**3/10 - 2413071*y**2/10 + 257*y. Factor z(m).
-3*(m + 93)**3/5
Let l = 488 + -481. Let y(s) be the second derivative of 6*s - 4/5*s**4 + 0*s**2 - 1/105*s**l - 8/75*s**6 - 11/25*s**5 - 3/5*s**3 + 0. Let y(p) = 0. What is p?
-3, -1, 0
Let r(y) be the second derivative of -y**6/1800 - y**5/300 - 3*y**3/2 + 10*y. Let h(m) be the second derivative of r(m). Let h(t) = 0. What is t?
-2, 0
Let y(l) be the second derivative of 4*l**6/45 + 23*l**5/30 - l**4/3 - 128*l**3/9 + 32*l**2/3 + 2*l + 104. Solve y(d) = 0 for d.
-4, 1/4, 2
Factor -4/7*p**3 - 116/7*p + 72/7 + 48/7*p**2.
-4*(p - 9)*(p - 2)*(p - 1)/7
Suppose 0 = -2*b - 34 - 20. Let y = b - -29. Solve -2/9*q**y - 4/9*q + 2/3 = 0 for q.
-3, 1
Let w(d) = d**4 - d**3 + d**2 + d. Let s(z) = -10*z**4 - 47*z**3 + 886*z**2 - 1635*z + 784. Let u(y) = 2*s(y) + 22*w(y). Factor u(c).
2*(c - 28)**2*(c - 1)**2
Let k be (28/(-6))/((-8)/(-12)). Let a be ((-224)/441 + (-6)/(-27))*k. Solve 2/13*n**a + 0 + 4/13*n**3 - 2/13*n**4 - 4/13*n = 0 for n.
-1, 0, 1, 2
Let q(w) = -7*w**3 + 6*w**2 + 6*w + 8. Let x(o) = -6*o**3 + 5*o**2 + 5*o + 8. Let u(f) = 5*q(f) - 6*x(f). Let d(a) be the first derivative of u(a). Factor d(g).
3*g**2
Solve 96/17 - 2/17*p**2 - 44/17*p = 0 for p.
-24, 2
Let t = 15 - 15. Suppose 2*z + t*h - 3 = -h, -z + 18 = -5*h. Determine i, given that -i**4 - 11*i**2 + 8*i**2 - 25*i**2 - 54*i - 8*i**2 - 27 - 10*i**z = 0.
-3, -1
Let q = 9 + 9. Suppose 5*l - q - 2 = 0. Factor 3*v - l*v + v**3 - 2*v**2 + 2*v + 0*v.
v*(v - 1)**2
Determine w, given that 17/2*w - 1/2*w**2 + 9 = 0.
-1, 18
Let j(x) be the third derivative of -x**9/20160 - x**8/6720 + x**7/420 + x**6/60 + 7*x**5/60 + 22*x**2. Let t(n) be the third derivative of j(n). Factor t(w).
-3*(w - 2)*(w + 1)*(w + 2)
Let o(a) be the first derivative of a**3/21 + 2*a**2/7 - 90. Factor o(c).
c*(c + 4)/7
Suppose 19*j - 5*j = 42. Find d such that 0*d**2 + 0 + 10/3*d**4 + 0*d - d**j - d**5 = 0.
0, 1/3, 3
Let a = -10/21 + 521/1050. Let z(m) be the second derivative of 3*m + 0 + 1/75*m**6 + 0*m**2 + 0*m**3 - a*m**5 + 0*m**4. Factor z(s).
2*s**3*(s - 1)/5
Suppose -11*k - 3*k + 56 = 0. Let n(q) be the first derivative of 1/2*q**2 - 1/12*q**3 - q + k. Factor n(j).
-(j - 2)**2/4
Let x(f) be the second derivative of f**5/12 - 27*f**2/2 - 6*f. Let y(l) be the first derivative of x(l). Factor y(s).
5*s**2
Factor -42 - 26/3*c**2 + 2/3*c**3 + 34*c.
2*(c - 7)*(c - 3)**2/3
Suppose -19 = -34*p + 117. Let i(g) be the first derivative of -18/7*g**3 + 30/7*g**2 + 6 + 3/4*g**p - 24/7*g - 3/35*g**5. Determine u so that i(u) = 0.
1, 2
Suppose -3*w = -5*y - 5, -3*w + 5*w - y - 1 = 0. Suppose s = -3*o - 2*o + 2, w = 5*o + 4*s - 8. Find l such that o*l**3 + 0*l + 1/7*l**4 + 1/7 - 2/7*l**2 = 0.
-1, 1
Let r(s) be the first derivative of 6*s**5/5 + 99*s**4/8 + 4*s**3 - 308. Factor r(q).
3*q**2*(q + 8)*(4*q + 1)/2
Let p = 863 + -90614/105. Let d(y) be the third derivative of 4/15*y**6 + 0*y + 256/3*y**3 + 64/3*y**4 + 0 + p*y**7 + 16/5*y**5 + 5*y**2. Factor d(c).
2*(c + 4)**4
Let a(m) = m**4 - m**3 + m**2 - m - 1. Let b(f) = -42*f**4 - 78*f**3 + 75*f**2 + 39*f. Let y = 81 - 80. Let p(h) = y*b(h) - 6*a(h). Let p(r) = 0. Calculate r.
-2, -1/4, 1
Let z be 6*14/224 - (-21)/8. Determine j so that -3/4*j**z + 3*j + 0*j**2 + 0 = 0.
-2, 0, 2
Let q(b) be the third derivative of -b**8/672 + b**7/105 + b**6/48 + 6*b**2 + 11. Factor q(w).
-w**3*(w - 5)*(w + 1)/2
Factor -2/7*w**2 - 56*w - 2744.
-2*(w + 98)**2/7
Let r(n) be the third derivative of n**5/240 - 35*n**4/96 + n**2 - 505. Let r(y) = 0. What is y?
0, 35
Let k(h) be the third derivative of -15/2*h**3 + 5/3*h**4 - 48*h**2 - 1/3*h**6 + 5/6*h**5 + 0 + 0*h - 1/42*h**7. Factor k(q).
-5*(q - 1)**2*(q + 1)*(q + 9)
Suppose 0*w + 0 - 28/3*w**2 + 26/3*w**4 - 178/3*w**3 = 0. What is w?
-2/13, 0, 7
Let g(p) be the second derivative of 4*p**6/255 + 21*p**5/170 + p**4/102 - 7*p**3/17 - 5*p**2/17 + 7*p - 3. Determine k, given that g(k) = 0.
-5, -1, -1/4, 1
Let x be (-1)/(-1) + 2 + 3. Let y be (x - -2) + (2 - 5). Determine v so that -9*v**2 + 36*v**y + 96*v**4 - 9*v**2 - 6*v**2 - 8 + 64*v**3 - 36*v = 0.
-1, -1/3, 2/3
Let j(i) be the third derivative of 3*i**8/448 + 19*i**7/420 + 53*i**6/480 + 7*i**5/60 + i**4/24 - 76*i**2. Solve j(l) = 0 for l.
-2, -1, -2/9, 0
Let x(v) be the second derivative of -v**6/240 + 3*v**5/160 - v**4/96 - v**3/16 + v**2/8 + 70*v. Factor x(d).
-(d - 2)*(d - 1)**2*(d + 1)/8
Suppose 2*f - 5*n + 25 = 0, 16*f - 14*f + 20 = 4*n. Factor -4/3*s**4 - s**5 + 0 + 0*s - 1/3*s**3 + f*s**2.
-s**3*(s + 1)*(3*s + 1)/3
Let h be 180/(-12) - (-4 + -14). Factor -h + 3/2*j**2 + 3/2*j.
3*(j - 1)*(j + 2)/2
Suppose 0 + 72/7*a**3 + 0*a + 2/7*a**4 + 648/7*a**2 = 0. What is a?
-18, 0
Let h(m) = -m + 1. Let a(q) = -6*q + 18. Let b(y) = -a(y) + 3*h(y). Let x be b(6). Solve 5/6*p**x + 7/6*p - 1/6*p**4 - 1/3 - 3/2*p**2 = 0 for p.
1, 2
Let f(a) be the third derivative of a**5/150 - 3*a**4/5 + 108*a**3/5 + 12*a**2 - a. Determine o so that f(o) = 0.
18
Let w(f) be the third derivative of f**8/112 + f**7/70 - f**6/20 + 212*f**2. Determine c, given that w(c) = 0.
-2, 0, 1
Let z = -220 + 220. Let n(t) be the first derivative of t**4 - 9 + z*t**2 + 0*t + 0*t**3 + 2/5*t**5. Factor n(y).
2*y**3*(y + 2)
Let w(u) be the first derivative of 14 - 8/7*u - 2/21*u**3 + 4/7*u**2. Factor w(f).
-2*(f - 2)**2/7
Let j(a) be the third derivative of a**8/84 + 4*a**7/105 - a**6/6 - 2*a**5/3 + 2*a**4/3 + 16*a**3/3 - 541*a**2. Solve j(h) = 0.
-2, -1, 1, 2
Suppose 0 = -2*h + 4*o + 58, h - 6*h - 3*o = -132. Let y = h - 25. Suppose -28/9*t**3 - 4/9 - 4/3*t**4 - 32/9*t**2 - 2/9*t**5 - y*t = 0. Calculate t.
-2, -1
Determine r so that 55/3*r**3 + 0 + 0*r + 35/3*r**4 + 25/3*r**2 + 5/3*r**5 = 0.
-5, -1, 0
Let y = -20 + 12. Let m be (-1)/((y/2)/64). Factor -4*o**3 + 0*o**4 - 12*o + m*o - 4*o**4 - 8 + 12*o**2.
-4*(o - 1)**2*(o + 1)*(o + 2)
Let a(l) = l + 5. Let x be a(-8). Let q(s) = s**2 + s + 1. Let b(h) = 2*h**5 + 2*h**4 - 2*h**3 - 5*h**2 - 3*h - 3. Let r(v) = x*q(v) - b(v). Factor r(m).
-2*m**2*(m - 1)*(m + 1)**2
Let p(l) = l**3 - 11*l**2 - 15*l - 10. Let h be p(12). Let w = -43 - h. Let 3/5*a**2 - 3/5*a + 1/5 - 1/5*a**w = 0. Calculate a.
1
Suppose -2*d + 4*d + 5*o - 35 = 0, -o = -3. Solve 2 - 37*l**4 + 22*l**4 - 5*l**3 - d*l**5 - 2 = 0 for l.
-1, -1/2, 0
Let k(a) = a**3 - 37*a**2 - 123*a + 124. Let r be k(40). Let m = -561 + 8437/15. Find b, given that 22/15*b**2 - 4/15 + m*b**3 + 2/5*b**r + 2/15*b = 0.
-2, -1, 1/3
Let b(x) be the third derivative of -x**8/224 + 13*x**7/210 - 21*x**6/80 + x**5/5 + x**4/3 + 30*x**2 - 2. Let b(g) = 0. What is g?
-1/3, 0, 1, 4
Let g be 6*(-1)/(18/(-580)). Let n = -193 + g. Factor -1/3 + 0*a**3 - n*a**4 + 2/3*a**2 + 0*a.
-(a - 1)**2*(a + 1)**2/3
Let n(q) be the first derivative of -18*q**5/5 + 61*q**4/2 - 242*q**3/3 + 51*q**2 + 36*q + 312. Let n(o) = 0. Calculate o.
-2/9, 1, 3
Let h(w) = 6*w**2 - 14*w + 1. Let c(y) = 18*y**2 - 28 - 52*y + 30 + 10*y. Let x(n) = -3*c(n) + 10*h(n). Determine t so that x(t) = 0.
1/3, 2
Suppose 0*m - 3*m = -9. Let w be ((-1)/m)/((-3)/27). Find o such that w*o - 1 - 6*o**2 + 2*o**2 + o**2 + 0 + o**3 = 0.
1
Let a(j) = j**3 + 1. Suppose n - 3 + 7 = 0. Let f(p) = 2*p**3 + 4. Let y(l) = n*a(l) + f(l). Solve y(i) = 0.
0
Let z(o) = -3*o**2 - o. Suppose 0 = 5*f + 75 - 120. Let l(n) = 13*n**2 + 4*n + 1. Suppose 2*m - 1 = 3. Let v(d) = f*z(d) + m*l(d). Factor v(w).
-(w - 1)*(w + 2)
Suppose 0 = 2*u + 5 - 13. Find t, given that -32*t + u*t**2 + 103 + 4*t - 3 - 12*t = 0.
5
Let w(q) be the second derivative of -5*q**5/12 - 55*q**4/9 - 155*q**3/18 + 20*q**2/3 - 41*q - 3. Suppose w(f) = 0. Calculate f.
-8, -1, 1/5
Let j = 296003/160 + -1850. Let w(s) be the third derivative of 0 - 7*s**2 + 1/64*s**4 - j*s**5 + 0*s**3 + 0*s. Find f such that w(f) = 0.
0, 1/3
Suppose 0 = 29*k - 47*k + 54. Suppose 5*n + 7*i - 9 = 27, k*i + 56 = 5*n. Solve -56/5*y - 2/5*y**5 + 16/5*y**4 + 16/5 + 76/5*y**2 - n*y**3 = 0.
1, 2
Let n(l) be the third derivative of -l**6/24 + 5*l**5/12 - 5*l**4/12 - 20*l**3/3 - 3*l**2 - 3. Factor n(g).
-5*(g - 4)*(g - 2)*(g + 1)
Let h(n) be the first derivative of -n**8/420 - n**7/210 + n**6/30 + n**5/6 + n**4/3 + 16*n