 derivative of -q**4/4 - 11*q**3 - 63*q**2/2 - 31*q - 66. Factor b(p).
-(p + 1)**2*(p + 31)
Let b be (-55)/6 + (-12 - (2 - 24)). Solve 1/3 + 2/3*d**2 + b*d + 1/6*d**3 = 0 for d.
-2, -1
Suppose 1/3*b**3 + 2/3 - 2/3*b**2 - 1/3*b = 0. Calculate b.
-1, 1, 2
Let i be -11 + 936/40 + -12. Factor 4/5*s**4 + 0 + 0*s**2 - i*s**3 + 0*s - 2/5*s**5.
-2*s**3*(s - 1)**2/5
Let h(w) = -6*w**2 + 6*w + 3. Let n(z) = 5*z**2 - 6*z - 2. Let m(y) = -4*h(y) - 5*n(y). Let q be m(4). Find v, given that 0*v - 2 + 0 + 7*v**2 - q*v + v = 0.
-2/7, 1
Suppose -4*g + 15 = g. Let b(q) = q**2 - 9*q - 34. Let h be b(12). Factor 0 + 0*l**h - 1/3*l + 1/3*l**g.
l*(l - 1)*(l + 1)/3
Let n(h) = h**3 + 7*h**2 + 6*h + 4. Let k be n(-6). Let o be (-9)/((-36)/(-16)) + 6 + 0. Find w, given that -7*w**5 + o*w**3 + 5*w**5 + k*w**2 + 4*w**3 = 0.
-1, 0, 2
Let f(r) be the first derivative of 5/3*r**3 - 4*r + 2/5*r**5 - 11/6*r**4 + 2*r**2 + 6. Let h(y) be the first derivative of f(y). Factor h(k).
2*(k - 2)*(k - 1)*(4*k + 1)
Let k be ((-238)/17)/28 - 9/(-8). Suppose -1/2*h**3 + 1/8*h**4 + k*h**2 - 1/4*h + 0 = 0. Calculate h.
0, 1, 2
Let o(b) be the third derivative of 5*b**2 + 0 + 0*b**3 - 5/6*b**4 + 5/336*b**8 + 1/3*b**5 + 0*b + 1/8*b**6 - 2/21*b**7. Suppose o(r) = 0. What is r?
-1, 0, 1, 2
Factor 2*o - 3*o - 11*o - 648 + 648 + 4*o**2.
4*o*(o - 3)
Suppose m + 11 + 6 = 3*h, 0 = 5*h - m - 25. Let 2*c**4 + 3*c**5 + h*c**4 - 3*c + 0*c + 399*c**2 - 405*c**2 = 0. What is c?
-1, 0, 1
Let h be (-96)/(-20) + (-40)/10. Let 0 - 8/5*a - h*a**2 = 0. Calculate a.
-2, 0
Let d = 13 - 14. Let q be 1*(-1 + (-32)/(-14) + d). Factor 4/7 - 2/7*x**2 + q*x.
-2*(x - 2)*(x + 1)/7
Solve 27/5*z + 1/5*z**2 + 26/5 = 0 for z.
-26, -1
Let a = 328/3 + -1285/12. Let s(c) be the first derivative of 0*c + a*c**4 - 4*c**3 - 4 + 2*c**2. Solve s(h) = 0 for h.
0, 2/3
Let n be (6 - (-12)/(-4))/(8/8). Let a(k) be the first derivative of 9/2*k**2 + k**n + 3 + 0*k. Solve a(b) = 0.
-3, 0
Let k(g) be the first derivative of g**6/66 - 3*g**5/11 + 27*g**4/44 + 81*g**3/11 + 130. Let k(o) = 0. What is o?
-3, 0, 9
Let w(b) be the third derivative of 0 + 1/210*b**7 + 0*b - 1/30*b**5 + 38*b**2 + 1/60*b**6 - 1/24*b**4 - 1/336*b**8 + 1/6*b**3. Factor w(i).
-(i - 1)**3*(i + 1)**2
Let a(h) be the third derivative of h**7/13860 - h**6/495 + 4*h**5/165 - 7*h**4/24 + 4*h**2. Let r(s) be the second derivative of a(s). Factor r(j).
2*(j - 4)**2/11
Let o = -3490 - -3495. What is u in -1/9 + 5/9*u + 8/9*u**4 - 1/9*u**3 - 7/9*u**2 - 4/9*u**o = 0?
-1, 1/2, 1
Suppose 3*z = -2494 + 2509. Let 20/3*u**z + 52/3*u**4 + 8*u + 0 - 52/3*u**2 - 44/3*u**3 = 0. Calculate u.
-3, -1, 0, 2/5, 1
Let p(n) = n**2 + 33*n - 146. Let m be p(4). Let k(d) be the second derivative of 3*d - 3/2*d**3 + 3*d**m + 0 + 1/4*d**4. What is h in k(h) = 0?
1, 2
Let y(g) be the third derivative of -1/75*g**5 + 0*g**3 - 16*g**2 - 1/150*g**6 + 0*g + 0 + 0*g**4. Factor y(z).
-4*z**2*(z + 1)/5
Let i(o) be the third derivative of o**7/105 - o**6/30 - 2*o**5/15 + 2*o**4/3 + 6*o**2 + 3*o. Factor i(h).
2*h*(h - 2)**2*(h + 2)
Suppose -2*h + 4*r - 11 = 9, -4*h = 2*r - 10. Suppose -2*c + 2 + 2 = h. Find p, given that -3*p + p**c + 3*p**2 + 2*p - 5*p**2 = 0.
-1, 0
Let g(d) = -16*d**3 + 8*d**2 + 20*d. Let c(y) = 3*y**3 - y**2 + y. Let h(z) = -4*c(z) - g(z). Let h(k) = 0. Calculate k.
-2, 0, 3
Suppose -3*d + 0*d = -5*u + 3, 0 = -3*u + d + 5. Let n = -2919 + 2921. Factor 8/11*k**4 + 18/11*k**n + 2*k**u + 2/11*k - 2/11.
2*(k + 1)**3*(4*k - 1)/11
Let k = 13649/4 - 3412. Factor k*b + 0 + 1/8*b**2.
b*(b + 2)/8
Let i(u) be the second derivative of 1/20*u**5 - 1/6*u**3 - 2*u + 0*u**4 + 0 + 1/24*u**6 + 0*u**2. Let p(l) be the second derivative of i(l). Solve p(k) = 0.
-2/5, 0
Let i(z) be the third derivative of 4/3*z**3 - 36*z**2 + 1/30*z**6 + 0 + 37/60*z**5 + 41/24*z**4 + 0*z. Factor i(y).
(y + 1)*(y + 8)*(4*y + 1)
Let s(n) be the first derivative of -2*n**5/5 + n**4 + 2*n**3 - 8*n**2 + 8*n - 78. Factor s(j).
-2*(j - 2)*(j - 1)**2*(j + 2)
Factor -9/4 - 9/8*v - 1/8*v**2.
-(v + 3)*(v + 6)/8
Suppose 0 = 44*s - 14*s - 67 - 23. Let 1/7 + 1/7*z**s - 1/7*z - 1/7*z**2 = 0. What is z?
-1, 1
Let k(o) be the second derivative of -o**5/30 - 17*o**4/6 + 52*o**3/9 + 430*o. Factor k(a).
-2*a*(a - 1)*(a + 52)/3
Factor 0 - 2/5*j**2 - 6/5*j**4 + 6/5*j**3 + 0*j + 2/5*j**5.
2*j**2*(j - 1)**3/5
Let f(a) be the second derivative of -a**5/24 + 5*a**3/12 + 3*a**2/2 - a. Let s(p) be the first derivative of f(p). Factor s(q).
-5*(q - 1)*(q + 1)/2
Let y(k) be the first derivative of k**4/2 - 2*k**3/3 - 2*k**2 - 205. Factor y(z).
2*z*(z - 2)*(z + 1)
Let g(s) be the first derivative of 12/5*s - 10 - 4/15*s**3 + 4/5*s**2. Factor g(d).
-4*(d - 3)*(d + 1)/5
Factor -14/13*t**2 - 22/13*t - 2/13*t**3 - 10/13.
-2*(t + 1)**2*(t + 5)/13
Let y be (-3 + 65/26)/(1*-2). Find p such that -3/4*p**2 - 1/4 - y*p**3 - 3/4*p = 0.
-1
Suppose 0 = 2*i - 5*i + 5*t - 1, -5*t = -4*i + 2. Factor 0*y**5 + 2*y**3 + 3*y**2 + y**i - 3*y**5 + 0*y**5 - 3*y**4.
-3*y**2*(y - 1)*(y + 1)**2
Let x(q) be the third derivative of -q**8/2352 - q**7/735 + q**6/420 + q**5/105 - q**4/168 - q**3/21 - 18*q**2 + 1. Determine j so that x(j) = 0.
-2, -1, 1
Let z(j) = -9*j**4 + 34*j**3 - 15*j**2 + 10. Let k(c) = -14*c**4 + 52*c**3 - 22*c**2 + 16. Let r(v) = -5*k(v) + 8*z(v). Suppose r(s) = 0. What is s?
0, 1, 5
Let y(i) = 4*i + 51. Let f be y(-12). Factor -6*v**3 - 3*v**f + v**2 - 3*v**4 - 7*v**2.
-3*v**2*(v + 1)*(v + 2)
Let t = 112 + -104. Let n(x) be the second derivative of -1/10*x**5 + 0 - 4*x**3 + x**4 + t*x**2 + x. Find v, given that n(v) = 0.
2
Let m = -23595/4 + 5901. Factor 29/4*p - 5/4 - 39/4*p**2 - m*p**3.
-(p + 5)*(3*p - 1)**2/4
Let r be (-8)/(-70) + (4736/259 - 18). Find h, given that r*h**2 - 12/5 + 2*h = 0.
-6, 1
Let c be (-1 + (-8)/(-6))/((-1365)/(-1170)). Find a, given that -11/7*a + c*a**2 - 6/7 = 0.
-1/2, 6
Let c be (36/(-8) - -2)*-2. Suppose 0*t + c*t = 0. Factor -2*r**2 - 39 + 43 + 7*r + t*r**2.
-(r - 4)*(2*r + 1)
Let f be ((-2)/(-2))/(12/36). Let -12*z**2 - 24*z - 5 - 3*z**f - 1 + 9*z = 0. Calculate z.
-2, -1
Let n(m) be the third derivative of m**6/120 - m**5/20 - 5*m**4/12 + 4*m**3 + 394*m**2. Find i such that n(i) = 0.
-3, 2, 4
Let i(b) = -152*b**3 - 2734*b**2 + 2890*b + 2. Let w(n) = n**4 - 153*n**3 - 2733*n**2 + 2891*n + 3. Let j(h) = 3*i(h) - 2*w(h). Factor j(m).
-2*m*(m - 1)*(m + 38)**2
Let t = -113321/5 + 22666. Let r be (6/(-15))/((-1)/5). Find g, given that 0 + 3/5*g - 12/5*g**r + t*g**3 = 0.
0, 1/3, 1
Let t be 834/105 + (-70)/(-1225). Factor -1/2*k**2 - 4*k - t.
-(k + 4)**2/2
Let n = 30 + -21. Determine g so that 3*g - 8*g - n*g**3 - 9*g**2 + g - 3*g**4 + g = 0.
-1, 0
Let h(q) be the first derivative of q**3/8 + 165*q**2/2 + 18150*q + 272. Determine o, given that h(o) = 0.
-220
Let k(d) be the third derivative of d**8/1344 - 17*d**7/840 - 3*d**6/80 - 194*d**2. Solve k(n) = 0 for n.
-1, 0, 18
Let p(h) be the third derivative of h**8/1344 - h**7/120 + 11*h**6/480 - h**5/48 - h**2 + 65. Solve p(r) = 0 for r.
0, 1, 5
Let r(z) = -z + 10. Let h be r(11). Let f = 3 - h. Factor 0 - 16*n**2 - 8*n - 2*n**3 + f + 2*n - 4*n**3.
-2*(n + 1)*(n + 2)*(3*n - 1)
Let h(w) be the first derivative of 2*w**5/15 - w**4/6 - 32*w**3/9 - 20*w**2/3 + 30. Factor h(y).
2*y*(y - 5)*(y + 2)**2/3
Suppose -2*l = -2*f + 15 + 383, -l = 3*f + 219. Let a = l - -613/3. Factor 2/3*p + a*p**2 - 1.
(p - 1)*(p + 3)/3
Suppose 3*q = 3*b + 27, 3*b = -6*q - b - 16. Factor 6*g**q + 24/5*g**3 + 6/5*g + 0.
6*g*(g + 1)*(4*g + 1)/5
Let j(u) be the first derivative of u**3/4 + 12*u**2 + 192*u - 56. Factor j(v).
3*(v + 16)**2/4
Let b be 6*5*(-2)/(-12). Suppose -2*v = b*i - 19, 2*v - 4*v = 3*i - 13. Solve 3*c**2 - 6*c**3 + 0 + 4*c**3 - 9*c**v + 8 = 0.
-2, 1
Let n(f) = 3*f**2 + 1. Let g(j) = 42*j**2 + 24*j + 75. Let a(l) = -g(l) + 15*n(l). Suppose a(o) = 0. What is o?
-2, 10
Let q(a) be the first derivative of -27 - 3*a**2 + 4*a + 5/3*a**6 - 16/3*a**3 + 11*a**4 - 36/5*a**5. Let q(h) = 0. Calculate h.
-2/5, 1
Let q(w) = -w**3 - 16*w**2 + 75*w + 23. Let h be q(4). What is n in -14/23*n**2 - 2/23*n + 2/23*n**h + 14/23 = 0?
-1, 1, 7
Let m be ((-2)/(-2))/((-1)/(-2)). Let u = 7 - 4. Factor 0*l**3 - 6*l**2 + 2*l**3 - m*l**u + 3*l**3.
3*l**2*(l - 2)
Let g = 6230 - 18685/3. Factor -5/3*m + 0 + 10/3*m**4 - 10/3*m**2 +