 of s**5/60 + s**4/12 - s**3/2 - s**2/2 - 11*s. Let b(g) be the first derivative of u(g). Determine n, given that b(n) = 0.
-3, 1
What is i in -i**2 - 81/2 + 57/2*i = 0?
3/2, 27
Let t(n) be the second derivative of 0*n**2 - 1/6*n**6 - 1/4*n**5 + 0 + 0*n**3 + 7*n + 0*n**4. Factor t(v).
-5*v**3*(v + 1)
Let h(u) be the second derivative of u**7/6 + u**6/15 - 28*u**5/5 - 8*u**4/3 + 6*u + 24. Factor h(o).
o**2*(o - 4)*(o + 4)*(7*o + 2)
Let g(o) be the first derivative of -36 - 2/9*o**2 + 4/9*o + 1/27*o**3. Let g(w) = 0. What is w?
2
Let g(f) be the second derivative of f**5/5 - 5*f**4/3 + 2*f**3 + 18*f**2 - 56*f - 2. Find q such that g(q) = 0.
-1, 3
Let p = 11424 - 11422. Factor 1/2*f**p + 0 + 1/2*f.
f*(f + 1)/2
Let w(f) = -153*f + 306. Let a be w(2). Suppose a - 1/2*j**4 + 0*j**2 - 5/2*j**3 + 0*j = 0. What is j?
-5, 0
Let n(t) = -5*t**5 + 10*t**4 + 15*t**3 + 35*t**2 - 25*t - 15. Let i(c) = -c**4 + c**3 - c**2 - c + 1. Let f(a) = 15*i(a) + n(a). Suppose f(z) = 0. Calculate z.
-2, 0, 1, 2
Let o = -6203/12 + 517. Let h(j) be the first derivative of 0*j - o*j**3 + 4 - 1/8*j**2. Factor h(c).
-c*(c + 1)/4
Let s(v) be the first derivative of v**5/110 + v**4/33 - v**3/33 - 2*v**2/11 - 28*v + 31. Let x(j) be the first derivative of s(j). Factor x(q).
2*(q - 1)*(q + 1)*(q + 2)/11
Suppose -203*n = -199*n - 100. Let i = -21 + n. Let 0 - 1/5*x**i + 0*x + 1/5*x**3 + 0*x**2 = 0. What is x?
0, 1
Solve 6*j + 52*j**4 + 12*j**2 + 3*j**5 - 6*j - 61*j**4 = 0.
-1, 0, 2
Suppose 0 = -54*g + 50*g + 8. Suppose -137 - 27 - g*c**2 + 40*c - 36 = 0. What is c?
10
Let q(k) = -k**2 - k. Let x(t) = -4*t - 4*t**2 + 73 - 71 + 0*t. Let s(f) = -3*q(f) + x(f). Factor s(a).
-(a - 1)*(a + 2)
Let s(k) be the second derivative of k**4/4 + 57*k**3 + 339*k**2/2 + 166*k. Factor s(l).
3*(l + 1)*(l + 113)
Let y(d) be the second derivative of d**6/6 + d**5 - 35*d**4/12 - 25*d**3/3 + 6*d + 4. Let y(j) = 0. What is j?
-5, -1, 0, 2
Let b be 4*(3/(-4))/(-1). Let -32 + 12*j**b - j**2 + 0*j**2 - 7*j**2 + 4*j**4 - 48*j = 0. What is j?
-2, -1, 2
Suppose -22/3*q**3 - 2*q**2 - 44/3 + 70/3*q + 2/3*q**4 = 0. What is q?
-2, 1, 11
Find a such that 2*a**4 + 70*a**3 - 14*a**3 + 8 - 16*a**3 - 26*a**3 + 30*a**2 + 26*a = 0.
-4, -1
Let w(a) be the third derivative of -a**5/210 - 29*a**4/14 - 2523*a**3/7 - 2*a**2 - 4. Factor w(u).
-2*(u + 87)**2/7
Let o(i) = -7*i**3 - 6 + 24*i**2 - 55*i + 29 + 32*i**3. Let u(g) = -3*g**3 - 3*g**2 + 7*g - 3. Let b(n) = -6*o(n) - 51*u(n). Factor b(z).
3*(z - 1)**2*(z + 5)
Let m(n) be the third derivative of n**6/60 - n**5/5 - 7*n**4/12 - n**2 + 18. Find v such that m(v) = 0.
-1, 0, 7
Let j = -1 - -5. Suppose -30 = -j*i + 42. Find f such that 3*f**2 + f + i*f**2 + 5*f = 0.
-2/7, 0
Let h(r) = 2*r**2 - 3*r. Let p be h(2). Let t = 36 + -32. Solve 18*a**3 + 15*a**t - p*a + 5*a + 3*a**5 - 3*a**4 + 12*a**2 = 0.
-1, 0
Let k(q) be the second derivative of -4/135*q**6 - 1/189*q**7 + 0*q**2 - 6 - 1/18*q**5 + 0*q**3 + q - 1/27*q**4. Suppose k(r) = 0. What is r?
-2, -1, 0
Let i = 2 - -1. Suppose -m = 3*r - 2, -i*r + 4*m + 4 + 18 = 0. Factor 4*k - 19*k**r + 3 - k - 4*k - 15*k**3.
-(k + 1)*(3*k - 1)*(5*k + 3)
Let q = 56 + -62. Let t be 45/q*(-8)/36. Factor t*l**5 + 0*l - 8/3*l**4 + 1/3*l**3 + 2/3*l**2 + 0.
l**2*(l - 1)**2*(5*l + 2)/3
Let m(l) = 11*l**2 + 12*l + 7. Let f(z) = 13*z**2 + 14*z + 8. Let y(s) = -6*f(s) + 7*m(s). Factor y(b).
-(b - 1)*(b + 1)
Factor -360 - 1055*m**2 - 34*m - 6*m + 1060*m**2 - 130*m.
5*(m - 36)*(m + 2)
Let i(p) be the third derivative of -p**5/510 - 5*p**4/204 + 8*p**3/17 - 421*p**2. Find j, given that i(j) = 0.
-8, 3
Let a be (-3 + 6)/((-6)/4*(-82)/123). Let y = -1 - -1. Factor -1/3*b**5 + 0 + 1/3*b**4 + 0*b**2 + y*b**a + 0*b.
-b**4*(b - 1)/3
Let j be ((-2)/6)/(28/(-31800)). Let a = j - 378. Factor a*o**2 + 16/7 - 16/7*o.
4*(o - 2)**2/7
Suppose 17*h - 20*h - 4*b + 26 = 0, -4*b + 10 = -5*h. Determine v, given that 0 + 0*v - v**h + 1/3*v**3 = 0.
0, 3
Let d(l) be the second derivative of -l**6/30 - l**5/2 - 25*l**4/12 - l + 2. Factor d(m).
-m**2*(m + 5)**2
Suppose 21*z - 15*z + 19*z = 50. Solve 39/8*q**z + 45/2*q + 27/2 - 15/4*q**3 + 3/8*q**4 = 0.
-1, 6
What is w in 105*w**4 - 10171*w**2 - 4*w**5 + 3348*w + 856 + 145*w**4 - 3344*w**3 + 6832 + 2243*w**2 - 10*w**4 = 0?
-2, -1, 1, 31
Let a(h) be the second derivative of h**7/28 - 3*h**6/20 - 9*h**5/40 + 11*h**4/8 - 3*h**3/2 - 20*h - 3. Find v such that a(v) = 0.
-2, 0, 1, 3
Let r(l) be the third derivative of 0 + 1/120*l**5 - 1/16*l**4 - 28*l**2 + 1/6*l**3 + 0*l. Factor r(b).
(b - 2)*(b - 1)/2
Let q(x) be the first derivative of -3*x**4/4 + 7*x**3/3 - 4*x + 47. Factor q(a).
-(a - 2)*(a - 1)*(3*a + 2)
Let t(r) be the first derivative of 32*r**3/27 - 88*r**2/9 + 242*r/9 - 104. Factor t(c).
2*(4*c - 11)**2/9
Let s(j) be the third derivative of 1/336*j**8 + 1/210*j**7 - 1/60*j**5 + 12*j**2 + 0*j**3 + 0*j + 0*j**4 + 0 - 1/120*j**6. Factor s(q).
q**2*(q - 1)*(q + 1)**2
Let d(x) = 30*x**2 - 2*x - 6. Let j be d(-2). Let r = 120 - j. Factor -10/3*a**2 + 0 + 6*a**4 - 2/3*a - r*a**3.
2*a*(a - 1)*(3*a + 1)**2/3
Suppose 5*g - 309 = -1299. Let f = g - -202. Factor 2/3*v**5 - 2/3*v**3 - 2/3*v**f + 2/3*v**2 + 0 + 0*v.
2*v**2*(v - 1)**2*(v + 1)/3
Let z(r) be the third derivative of -2/225*r**5 + 0*r**3 - 1/315*r**7 + 0 + 0*r + 0*r**4 - 1/75*r**6 + 7*r**2. Factor z(y).
-2*y**2*(y + 2)*(5*y + 2)/15
Find s, given that 192/5*s - 4/5*s**2 + 196/5 = 0.
-1, 49
Suppose -44/13*p**2 - 2/13*p**5 + 4/13*p**3 + 22/13*p**4 + 22/13 - 2/13*p = 0. Calculate p.
-1, 1, 11
Let b(a) be the second derivative of -1/60*a**6 + 1/24*a**4 + 3 + 6*a - 1/20*a**5 + 0*a**2 + 1/6*a**3. Find t such that b(t) = 0.
-2, -1, 0, 1
Let x(r) be the third derivative of r**8/20160 + r**7/5040 - r**6/360 - 7*r**5/30 + 8*r**2. Let q(t) be the third derivative of x(t). Factor q(j).
(j - 1)*(j + 2)
Factor 1023*u**3 - 62*u - 2 - 829/2*u**2 - 1089/2*u**4.
-(u - 1)**2*(33*u + 2)**2/2
Let i(g) be the third derivative of g**6/120 - g**5/5 + 15*g**4/8 - 9*g**3 - 801*g**2. Factor i(m).
(m - 6)*(m - 3)**2
Determine d, given that 0 - 3/8*d**3 - 9/8*d**2 + 0*d = 0.
-3, 0
Let l = 12 - 8. Suppose a + 4*r + 5 = 0, -6*a + 3*r + 12 = -l*a. Determine f, given that -3*f**2 + 2*f + 3*f**a + f**4 + 6*f**2 - f = 0.
-1, 0
Let q = 79 - 61. Factor -49 + q*c + 0*c**2 - c**2 - 4*c.
-(c - 7)**2
Factor -81 - 35*c - 9 + 6*c**2 + 44*c**2 + 5*c**2.
5*(c + 1)*(11*c - 18)
Let a be (66/693*-6)/(-3*1/7). Factor -2/3*k - a*k**2 + 0 + 7/6*k**3 + 5/6*k**4.
k*(k - 1)*(k + 2)*(5*k + 2)/6
Solve 1/3*u - 2/3 + 1/3*u**2 = 0 for u.
-2, 1
Factor 2/15*g**2 + 52/15*g + 338/15.
2*(g + 13)**2/15
Suppose -w + o - 184 = -191, 4*w + o = 13. Factor -2/11*k**3 + 0 + 0*k + 0*k**2 + 2/11*k**w.
2*k**3*(k - 1)/11
Let r(g) be the first derivative of g**6/120 - g**5/20 + g**4/8 - 2*g**3 + 5. Let k(z) be the third derivative of r(z). What is b in k(b) = 0?
1
Let a = -9 + 11. Suppose 0*p + 6 = a*p. Factor -3*c**3 - 2*c - 4*c**2 + 2*c**p - 2*c.
-c*(c + 2)**2
Suppose -18*p**4 - 4*p**5 + 67*p**2 + 240*p - 11*p**4 + 9*p**2 - 44*p**3 + 46 + 98 + p**4 = 0. Calculate p.
-3, -2, -1, 2
What is c in -4608*c - 96*c**2 - 73728 - 2/3*c**3 = 0?
-48
Find h, given that -3 - 37 - 54*h**2 - 2*h**4 + 50*h + 24 + 22*h**3 = 0.
1, 8
Let a(k) be the second derivative of -7*k**4/12 - k**3/6 + 54*k. Let a(n) = 0. Calculate n.
-1/7, 0
Let f(j) be the first derivative of 4 - 4*j - 8/3*j**3 - 5*j**2 - 1/2*j**4. Let f(a) = 0. Calculate a.
-2, -1
Factor 2/5*u**5 + 8/5*u**4 + 2/5*u + 8/5*u**2 + 12/5*u**3 + 0.
2*u*(u + 1)**4/5
Let c(t) be the third derivative of t**8/224 - t**7/70 - t**6/40 + t**5/10 + t**4/16 - t**3/2 + 141*t**2. Find a such that c(a) = 0.
-1, 1, 2
Let u be 18/96*(-11)/((-132)/16). Determine l so that -1/4*l - u*l**2 + 0 = 0.
-1, 0
Let y(m) be the third derivative of -m**8/40320 + m**7/5040 + m**6/480 - 19*m**5/60 + 14*m**2. Let n(d) be the third derivative of y(d). Factor n(f).
-(f - 3)*(f + 1)/2
Let p(d) be the third derivative of d**7/840 + 5*d**6/32 + 81*d**5/10 + 198*d**4 + 1728*d**3 - 8*d**2 - 11*d. Factor p(b).
(b + 3)*(b + 24)**3/4
Let f(l) be the third derivative of -5*l**8/336 + 4*l**7/21 - l**6 + 17*l**5/6 - 115*l**4/24 + 5*l**3 - l**2 - 1. Factor f(s).
-5*(s - 3)*(s - 2)*(s - 1)**3
Let y = -204 - -80. Let l = y - -130. Find u such that -4*u - 2/3*