+ 39/4*a.
3*(a + 3)*(2*a + 1)**2/4
Let q(o) be the second derivative of 0 + 9*o + 5/54*o**4 - 2/9*o**2 + 1/45*o**5 + 1/27*o**3. Factor q(m).
2*(m + 1)*(m + 2)*(2*m - 1)/9
Let w = -9689 - -9693. Factor 0 - 3/2*y**5 + 5/2*y**w - 1/2*y**3 + 0*y - 1/2*y**2.
-y**2*(y - 1)**2*(3*y + 1)/2
Let y(p) be the second derivative of p**6/30 - 31*p**5/5 + 961*p**4/2 - 59582*p**3/3 + 923521*p**2/2 - 28*p. Let y(d) = 0. What is d?
31
Let y(i) be the third derivative of i**7/735 - i**6/420 - i**5/42 - i**4/28 - 2*i**2 + 107. Determine q so that y(q) = 0.
-1, 0, 3
Suppose 2/3*j**3 + 0 - 28/3*j - 26/3*j**2 = 0. Calculate j.
-1, 0, 14
Let z = 715 - 17874/25. Let v(g) be the first derivative of -1/5*g**4 + 5 + 1/5*g**3 + z*g**5 - 4/5*g + 2/5*g**2. Suppose v(u) = 0. Calculate u.
-1, 1, 2
Factor -1/5*j**2 + 0 - 5*j.
-j*(j + 25)/5
Factor 681*p + 154587/2 + 3/2*p**2.
3*(p + 227)**2/2
Let d(k) be the second derivative of 0*k**3 - 1/10*k**6 - 13*k + 0*k**2 + 0 + 3/4*k**4 - 3/10*k**5. Determine g so that d(g) = 0.
-3, 0, 1
Let r(z) be the third derivative of z**7/5040 - z**5/240 - z**4/72 - 5*z**3/6 - 12*z**2. Let l(k) be the first derivative of r(k). What is q in l(q) = 0?
-1, 2
Let t(n) be the third derivative of 0*n**3 - 2/27*n**4 + 0*n + 0 - 1/270*n**6 - 4*n**2 + 4/135*n**5. Solve t(c) = 0 for c.
0, 2
Let r be ((-60)/2)/5*1. Let u = -4 - r. Determine g, given that 2/15 + 2/15*g**3 - 2/15*g**u - 2/15*g = 0.
-1, 1
Let x(t) be the third derivative of -t**8/252 + 29*t**7/315 - 38*t**6/45 + 119*t**5/30 - 10*t**4 + 12*t**3 - 3*t**2 - 220*t. Let x(a) = 0. What is a?
1/2, 2, 3, 6
Let h(o) = -2*o**2 - 6*o - 4. Let z be h(-2). Let q(d) be the first derivative of z*d**2 - 3/4*d**4 - 1 + 0*d + 1/5*d**5 + 2/3*d**3. Find m such that q(m) = 0.
0, 1, 2
Let d be (60/(5 + -2))/(0 - -2). Suppose -v - 5 = 2*c, -v + 2*c + 5 = -d. What is j in -2/11*j**v + 0 - 2/11*j**2 + 2/11*j**4 + 0*j + 2/11*j**3 = 0?
-1, 0, 1
Let m(h) be the third derivative of -20*h**2 - 1/6*h**6 + 0 - 2/15*h**5 + 0*h**4 - 8/105*h**7 - 1/84*h**8 + 0*h**3 + 0*h. Factor m(q).
-4*q**2*(q + 1)**2*(q + 2)
Let p = -38 + 42. Factor 5*n**2 - 4*n**p - 8*n**3 + 8*n**4 - 4*n**2 + 3*n**2.
4*n**2*(n - 1)**2
Suppose -12*v + 10*v = -10. Let l be 3 - (0 + 5)/v. Suppose 4*h - 4*h**l + 3*h**2 - h - h = 0. What is h?
0, 2
Suppose -152 + 17 = -15*j. Suppose 6*p + 2*p + 51*p**2 + 22*p + j*p**3 = 0. What is p?
-5, -2/3, 0
Suppose 4*p + 24 = 0, -3*r + 5*p + 20 + 16 = 0. Let -6*b + 3/4*b**r + 21/4 = 0. What is b?
1, 7
Let a be -3 + 325/35 + (-420)/70. Factor a + 2/7*r**2 - 4/7*r.
2*(r - 1)**2/7
Let g(h) be the third derivative of h**7/630 + 11*h**6/60 + 1153*h**5/180 + 88*h**4/3 + 512*h**3/9 - 196*h**2. Factor g(l).
(l + 1)**2*(l + 32)**2/3
Let u(l) = l**3 + 9*l**2 + l + 11. Let t be u(-9). Let x(g) be the first derivative of -2*g**t - 3 + 2*g + 2/3*g**3. What is s in x(s) = 0?
1
Let y(f) be the first derivative of f**6/2 + 3*f**5 - 21*f**4/2 + 2*f**3 + 39*f**2/2 - 21*f + 72. Determine q, given that y(q) = 0.
-7, -1, 1
Let l(t) = 17*t + 20. Let j be l(15). Solve 1 + 4*f**3 - 1 - 2*f**5 - j*f + 273*f = 0.
-1, 0, 1
Let y = -499/6 - -1499/18. Let g(v) be the second derivative of 0*v**3 + 0 - y*v**4 + 0*v**2 + 1/45*v**6 + 1/30*v**5 - 6*v. Determine c so that g(c) = 0.
-2, 0, 1
Let o(j) = -15*j**5 + 10*j**4 - 5*j**3 - 10*j**2 + 15*j. Let q(x) = -2*x**5 - x**4 + x**2 + x. Let i(z) = o(z) - 5*q(z). Solve i(t) = 0 for t.
-1, 0, 1, 2
Let l(t) be the first derivative of 4*t**3/3 - 54*t**2 - 360*t + 80. Factor l(n).
4*(n - 30)*(n + 3)
Suppose 0 = -2*k - o + 37, 16 = 3*k + 5*o - 22. Suppose 16*p - 11 - k = 0. Factor -9/4*a + 1/2 + 7/4*a**p.
(a - 1)*(7*a - 2)/4
Let u = -58 - -56. Let x be (-55 - -59)/(u - -2 - -2). Let 3/4*t + 0*t**x - 3/4*t**3 + 0 = 0. What is t?
-1, 0, 1
Let m(y) be the first derivative of -y**6/60 - 2*y**5/15 - y**4/3 + 6*y**2 - 1. Let l(t) be the second derivative of m(t). Solve l(i) = 0.
-2, 0
Suppose 0 = a - 29 - 62. Let 42*z - a*z + 10*z**2 - 5*z**3 + 44*z = 0. Calculate z.
0, 1
Suppose 3*i - 82 = -61. Suppose 0 = 5*k - i*k. Find c such that 0 + k*c - 1/4*c**2 = 0.
0
Let y(g) be the third derivative of g**6/2880 + g**5/120 + g**4/12 - g**3/3 - g**2. Let z(x) be the first derivative of y(x). Let z(u) = 0. What is u?
-4
Let a(z) be the third derivative of 3*z**8/112 + 2*z**7/35 - z**6/10 - 3*z**5/10 + z**4/8 + z**3 + 4*z**2 + 5*z. Solve a(f) = 0.
-1, 2/3, 1
Suppose -5*r + 15 + 5 = 0. Let p = 5173/4 - 1293. Factor 0 + l - p*l**r - 3/4*l**3 + 0*l**2.
-l*(l - 1)*(l + 2)**2/4
Let x = 34773 - 34770. Factor -9 + x*h - 1/4*h**2.
-(h - 6)**2/4
Determine y so that -10/11*y**4 + 0 - 32/11*y - 104/11*y**2 - 64/11*y**3 = 0.
-4, -2, -2/5, 0
Suppose 22/5*r**3 + 6/5*r**2 - 2*r**4 - 22/5*r + 4/5 = 0. Calculate r.
-1, 1/5, 1, 2
Let r(s) be the first derivative of -2*s**6/15 - 3*s**5/5 - s**4/3 + 2*s**3 + 4*s**2 + 10*s - 18. Let v(j) be the first derivative of r(j). Factor v(z).
-4*(z - 1)*(z + 1)**2*(z + 2)
Solve -21*q**3 + 6*q**3 + 13*q**3 + 0*q + 14*q + 12*q**2 = 0.
-1, 0, 7
Let l = 43 - 44. Let m be 2/(-1) - -3 - l. Determine o so that 0 - 3/2*o**4 - 9/4*o**3 + 9/4*o**m + 3/2*o = 0.
-2, -1/2, 0, 1
Let h(p) be the first derivative of p**6/6 - p**5/5 - 3*p**4/16 + p**3/3 - p**2/8 - 175. Suppose h(g) = 0. What is g?
-1, 0, 1/2, 1
Let j(i) be the third derivative of i**7/1155 - 9*i**6/220 + 38*i**5/55 - 196*i**4/33 + 320*i**3/11 - 594*i**2. Find q such that j(q) = 0.
4, 15
Factor -2/3*m**4 - 128/3 + 224/3*m - 28/3*m**3 - 22*m**2.
-2*(m - 1)**2*(m + 8)**2/3
Let c(h) be the first derivative of h**5/10 - h**4 + 5*h**3/2 + 2*h**2 - 8*h - 263. Factor c(r).
(r - 4)**2*(r - 1)*(r + 1)/2
Let x(p) be the second derivative of p**5/140 + p**4/28 + p**3/14 + 9*p**2/2 - 7*p. Let l(z) be the first derivative of x(z). Factor l(j).
3*(j + 1)**2/7
Let k(b) be the first derivative of -11 + 1/16*b**6 + 0*b**3 - 3/16*b**4 - 3/40*b**5 + 0*b + 0*b**2. Suppose k(m) = 0. Calculate m.
-1, 0, 2
Let i(k) be the third derivative of k**7/7560 - 7*k**6/2160 + k**4/8 - 26*k**2. Let l(j) be the second derivative of i(j). Factor l(v).
v*(v - 7)/3
Let j(m) be the third derivative of 5*m**8/1008 - 4*m**7/63 + 25*m**6/72 - 19*m**5/18 + 35*m**4/18 - 20*m**3/9 - 16*m**2. Factor j(r).
5*(r - 2)**3*(r - 1)**2/3
Let n(k) = -k**3 + 7*k**2 + 2*k - 12. Let b be n(7). Factor 2/11*o**b - 12/11*o + 18/11.
2*(o - 3)**2/11
Let g(f) be the third derivative of 2*f**7/21 + 13*f**6/30 + 2*f**5/5 - f**2. Let g(k) = 0. Calculate k.
-2, -3/5, 0
Let c(n) be the third derivative of 47*n**5/20 - 45*n**4/8 - n**3 - 6*n**2 - 16. Let c(k) = 0. Calculate k.
-2/47, 1
Let q(r) be the first derivative of -r**6/6 + 2*r**5/5 + r**4/2 - 4*r**3/3 - r**2/2 + 2*r + 183. Let q(p) = 0. Calculate p.
-1, 1, 2
Suppose 3*u - 460 - 44 = 0. Let z = u + -168. Factor z*n**2 + 0*n + 0 - 2/7*n**3.
-2*n**3/7
Let t(m) be the first derivative of 2*m**5/25 - 7*m**4/2 + 192*m**3/5 + 324*m**2/5 + 34. Factor t(p).
2*p*(p - 18)**2*(p + 1)/5
Let c(m) be the second derivative of 7*m**6/1440 - 23*m**5/480 + m**4/16 + 3*m**3/2 - 12*m. Let t(b) be the second derivative of c(b). Factor t(q).
(q - 3)*(7*q - 2)/4
Suppose 2/11*j**4 + 4/11 - 2/11*j - 6/11*j**2 + 2/11*j**3 = 0. What is j?
-2, -1, 1
Let w(k) be the third derivative of -38*k**2 + 0 + 64/15*k**3 + 4/15*k**4 + 1/150*k**5 + 0*k. Factor w(p).
2*(p + 8)**2/5
Let q(v) = v**3 - 66*v**2 + 1025*v + 2337. Let y(l) = l + 5. Let k(d) = 3*q(d) - 15*y(d). Determine o so that k(o) = 0.
-2, 34
Let y(v) be the third derivative of v**6/60 + v**5/6 + v**4/4 - 3*v**3 + 10*v**2. Factor y(g).
2*(g - 1)*(g + 3)**2
What is v in -589*v**2 + 15987 + 1179*v**2 - 587*v**2 - 438*v = 0?
73
Suppose -41 = -3*z - 11. Let i = 13 - z. Factor 2*v**5 - 2*v**4 + 5*v**3 - 4*v**4 - 2*v**i + v**5.
3*v**3*(v - 1)**2
Let x(n) be the third derivative of n**5/12 + 40*n**4/3 + 2560*n**3/3 + 242*n**2. Factor x(r).
5*(r + 32)**2
Let l = -280 + 4481/16. Let k(f) be the third derivative of 0 - 3/8*f**3 - 1/240*f**5 - 7*f**2 + l*f**4 + 0*f. Find r, given that k(r) = 0.
3
Let h(j) be the first derivative of 0*j - 1/8*j**4 + 1/36*j**6 - 12 - 5/18*j**3 - 1/6*j**2 + 1/30*j**5. Factor h(z).
z*(z - 2)*(z + 1)**3/6
Let z(m) = -m + 10. Let l be z(12). Let g be (-6)/6 - 3/l*1. Factor 0*c + 3/2*c**3 + 0*c**2 + g*c**4 + 0.
c**3*(c + 3)/2
Find 