*y - 5*w + 20 = 0. Determine o so that -2/3 + 2/3*o**2 + y*o = 0.
-1, 1
Let a(k) be the second derivative of k**5/20 + 9*k**2/2 + 6*k. Let d be a(0). Find h such that d + 5*h + 0*h + 2*h + 3*h**2 + 5*h = 0.
-3, -1
Let s = -131 + 133. Let t(n) be the second derivative of 0 - 2/5*n**s - 1/60*n**4 + 4*n - 2/15*n**3. What is v in t(v) = 0?
-2
Suppose -42*t + 106 = 22. Determine d, given that -1/6*d**3 + 2/3 + 11/6*d**2 + 1/6*d**5 - t*d - 1/2*d**4 = 0.
-2, 1, 2
Let u = -1/446 + 116/2007. Let p(j) be the second derivative of -4/3*j**2 - u*j**4 + 4/9*j**3 + 0 + 5*j. Factor p(q).
-2*(q - 2)**2/3
Suppose -14*a = -37*a + 46. Let f(o) be the second derivative of 1/6*o**4 - 1/15*o**6 + 0*o**3 + 0 + 0*o**5 + 0*o**2 + a*o. Factor f(l).
-2*l**2*(l - 1)*(l + 1)
Let t be (3 - -1) + -6 - -2. Let g be (-10)/4*(-20)/125 - t. Find o, given that -6/5*o**5 + 4/5*o**3 + 2/5*o - 2*o**4 - g + 12/5*o**2 = 0.
-1, 1/3, 1
Let y = 33 - 61. Let l = 31 + y. Factor -1/4*b**l + 1/2*b**2 + 1/4*b - 1/2.
-(b - 2)*(b - 1)*(b + 1)/4
Solve 0*l + 2*l**3 + 0*l**4 - 4/3*l**2 - 2/3*l**5 + 0 = 0.
-2, 0, 1
Let d = -21 - -23. Let -2 - 2*p**3 + d*p + 4 + 1 + 2*p**2 - 5 = 0. Calculate p.
-1, 1
Factor -52/5*o**3 + 58/5 - 172/5*o - 2/5*o**4 + 168/5*o**2.
-2*(o - 1)**3*(o + 29)/5
Let c = -11339017/70616 - -15/10088. Let p = 161 + c. Suppose p*z**2 - 9/7*z + 0 = 0. Calculate z.
0, 3
What is f in -128*f**2 + 248*f**2 - 100*f - 125*f**2 - 95 = 0?
-19, -1
Let a(j) = -j**2 - 23*j - 118. Let h be a(-14). Suppose u + 8 = h. Factor 0*s - 3/2*s**3 + u + 0*s**2 - 3/2*s**4.
-3*s**3*(s + 1)/2
Let h(j) be the first derivative of -20*j**2 + 6 + 16*j + 1/5*j**5 - 5/2*j**4 + 11*j**3. Factor h(o).
(o - 4)**2*(o - 1)**2
Let l(s) be the second derivative of -s**5/330 - 2*s**4/33 - 13*s**2/2 + 8*s. Let d(r) be the first derivative of l(r). Solve d(q) = 0 for q.
-8, 0
Let o(c) be the first derivative of -3*c**7/2380 - c**6/153 - 13*c**5/1020 - c**4/102 + 13*c**3/3 + 5. Let g(q) be the third derivative of o(q). Factor g(w).
-2*(w + 1)**2*(9*w + 2)/17
Let k be (-2 + (2 - -72))*(12 - 3451/290). Solve -k*g**2 - 36/5*g**3 + 12/5*g**5 + 4/5*g**4 + 0 - 8/5*g = 0.
-1, -1/3, 0, 2
Let h(y) be the first derivative of -y**4/16 - 8*y**3 - 384*y**2 - 8192*y + 131. Factor h(t).
-(t + 32)**3/4
Let l(k) be the third derivative of -k**7/630 - k**6/90 - k**5/45 + 27*k**2. Factor l(o).
-o**2*(o + 2)**2/3
Let c(v) = v**3 + 9*v**2 + v + 13. Let x be c(-9). Solve 4*w**2 + 10 + 2*w**3 - x*w + 26*w + 10*w**2 = 0.
-5, -1
Suppose -5*h = -6*w + 4*w - 10, 4*w + 2*h - 4 = 0. Let y(a) be the second derivative of 1/2*a**4 + w - 8*a - 5/3*a**3 + 2*a**2. Find l such that y(l) = 0.
2/3, 1
Let b(a) be the second derivative of -a**8/1680 - a**7/630 - 23*a**4/12 + 34*a. Let d(w) be the third derivative of b(w). Determine r so that d(r) = 0.
-1, 0
Factor 218/7*f**2 + 8/7*f**4 - 72/7*f**3 + 14 - 36*f.
2*(f - 1)**2*(2*f - 7)**2/7
Let p = 196 + -194. Let u(k) be the first derivative of 5 + k + 1/6*k**3 - 3/4*k**p. Let u(f) = 0. Calculate f.
1, 2
Let g(p) = -78*p + 392. Let n be g(5). Determine b so that -5/2 - 3/2*b**n - 1/2*b**3 + 9/2*b = 0.
-5, 1
Let l(y) = y**2 + 2. Let r(g) = 2*g**2 + 5*g - 8. Let q(v) = 20*l(v) + 5*r(v). Factor q(o).
5*o*(6*o + 5)
Find p such that 18 - 147*p + 123*p - 10*p**3 - 2 - 36*p**2 = 0.
-2, 2/5
Solve 2/7*k - 4/7 + 2/7*k**2 = 0.
-2, 1
Solve 602/11*y + 1268/11*y**2 + 14/11*y**5 + 92/11 + 368/11*y**4 + 1112/11*y**3 = 0 for y.
-23, -1, -2/7
Let p(z) = -2*z**2 - 62*z + 60. Let o(h) = 3*h**2 + 61*h - 59. Let y(f) = -4*o(f) - 5*p(f). Factor y(w).
-2*(w - 32)*(w - 1)
Determine h, given that 3*h**3 - 3*h**5 + 16*h**2 + 6*h**3 + 24*h**4 - 13*h**3 - h**5 - 32*h**3 = 0.
0, 1, 4
Let c(n) be the third derivative of n**8/224 - n**7/20 - 3*n**6/8 + n**2 - 457. Find z such that c(z) = 0.
-3, 0, 10
Let h(y) be the first derivative of -2*y**3/57 + 8*y/19 - 54. Factor h(k).
-2*(k - 2)*(k + 2)/19
Let l be 8/9600*-5*-1. Let n(u) be the third derivative of 3*u**2 + 0 + 0*u**3 + 0*u - l*u**5 + 0*u**4 + 1/480*u**6. Find y such that n(y) = 0.
0, 1
Let l(k) be the third derivative of -k**6/6 + k**5/15 + k**4 + 93*k**2. Factor l(v).
-4*v*(v + 1)*(5*v - 6)
Let s = 1121 - 1121. Factor 1/3*o**2 + 1/3*o**3 + s + 0*o.
o**2*(o + 1)/3
Suppose 3*y - 14*m + 12*m = -1, -4*m + 20 = 0. Factor -9/4*i**2 - 3/2*i - i**y - 1/4.
-(i + 1)**2*(4*i + 1)/4
Let u be 38/20 - 7/(-70). Suppose -49 - 195*w**2 - 36*w**3 + 3*w**u + 14 - 208*w - 29 = 0. Calculate w.
-4, -2/3
Let a(l) be the third derivative of l**6/600 + 19*l**5/300 + 31*l**4/120 - 17*l**3/10 + 649*l**2. Factor a(i).
(i - 1)*(i + 3)*(i + 17)/5
Let i(k) be the first derivative of -7 + 10/3*k**2 - 8/3*k - 16/9*k**3 + 1/3*k**4. Solve i(u) = 0 for u.
1, 2
Let u(o) be the second derivative of o**8/33600 + o**7/4200 - o**6/3600 - o**5/200 - 31*o**4/12 - 33*o. Let f(n) be the third derivative of u(n). Factor f(d).
(d - 1)*(d + 1)*(d + 3)/5
Let z be 1/(44/(-8) - -1 - -5). Let v be -3 + (z - 26/(-10)) + -1. Factor -v*n**4 + 12/5 + 3/5*n**2 - 3*n**3 + 3/5*n**5 + 24/5*n.
3*(n - 2)**2*(n + 1)**3/5
Suppose 0 = 3*y + 40 + 254. Let w = -93 - y. Suppose -9/5*d**4 + 3/5*d**w + 9/5*d**3 + 0*d + 0 - 3/5*d**2 = 0. Calculate d.
0, 1
Let x = -24349/4 - -6089. Factor -5*m + x*m**4 - 1 + 1/2*m**3 - 21/4*m**2.
(m - 2)*(m + 1)**2*(7*m + 2)/4
Let u be 50/13 + -5 + 0. Let r = 144/91 + u. Solve 0*j**2 + 2/7 + r*j - 1/7*j**3 = 0.
-1, 2
Let m(l) be the third derivative of -l**6/600 - l**5/60 - 7*l**4/120 - l**3/10 - 5*l**2 - 6*l. Factor m(p).
-(p + 1)**2*(p + 3)/5
Let c be ((-12)/7)/(1040/(-728)). Factor -2/5*o**3 + c - 14/5*o + 2*o**2.
-2*(o - 3)*(o - 1)**2/5
Let f(m) be the second derivative of m**5/40 - 19*m**4/36 + 2*m**3/3 + m + 2. Suppose f(p) = 0. What is p?
0, 2/3, 12
Let l(i) = -3*i**3 - 26*i**2 + 4*i - 40. Let k be l(-9). Let u(y) be the second derivative of 0*y**3 + 0*y**2 + y + 1/72*y**4 + 1/120*y**k + 0. Solve u(z) = 0.
-1, 0
What is s in -220*s + s**3 - 140*s**2 - 6*s**3 + 300 - 123*s**2 + 188*s**2 = 0?
-10, -6, 1
Let v(g) be the third derivative of -g**6/900 + g**5/75 - g**4/15 + 4*g**3/3 + 19*g**2. Let h(o) be the first derivative of v(o). Find n such that h(n) = 0.
2
Let v(z) be the second derivative of z**4/12 - 104*z**3/3 + 5408*z**2 - 378*z. Factor v(x).
(x - 104)**2
Let q(v) be the first derivative of -7*v**6/3 + 102*v**5/5 + 28*v**4 - 88*v**3 + 32*v**2 + 183. What is k in q(k) = 0?
-2, 0, 2/7, 1, 8
Let x(h) = h**3 - 8*h**2 - 14*h - 4. Let f(t) = -t**3 + t + 2. Let o(m) = -2*f(m) - x(m). Let o(j) = 0. What is j?
-6, -2, 0
Let k(y) = -200*y**4 - 920*y**3 + 1575*y**2 - 505*y - 25. Let c(j) = -25*j**4 - 115*j**3 + 197*j**2 - 63*j - 3. Let b(s) = -25*c(s) + 3*k(s). Factor b(t).
5*t*(t - 1)*(t + 6)*(5*t - 2)
Let c(u) = -6*u + 86. Let f be c(29). Let q be f/(-110) - 8/10. Factor -1/3*h + 0*h**2 + q + 1/3*h**3.
h*(h - 1)*(h + 1)/3
Suppose 12 = 4*g - 2*k, -3*k - 8 - 8 = -5*g. Suppose 33*o**3 + 34*o**g - 6 + 6*o - 3*o**2 - 3*o + 9*o**4 + 2*o**2 = 0. Calculate o.
-2, -1, 1/3
Let k(s) be the first derivative of s**3/3 + 11*s**2 + 21*s - 696. Find i such that k(i) = 0.
-21, -1
Let j(c) = -4*c**5 + 12*c**4 - 12*c**3 + 4*c - 4. Let a(g) = -2*g**4 + 2*g**4 + g**3 + g - 1 - g**4. Let i(n) = 4*a(n) - j(n). Factor i(f).
4*f**3*(f - 2)**2
Let d be 5 + -7 - -1 - -6. Let q = 15 + -11. Determine r, given that 4*r**d + 0*r**2 - 19*r + 20*r**2 - q*r**4 - 12*r**3 - 10*r + 21*r = 0.
-2, 0, 1
Let v(f) be the first derivative of 7*f**6/2 + 69*f**5/5 - 33*f**4/2 - 8*f**3 - 230. Suppose v(j) = 0. What is j?
-4, -2/7, 0, 1
Factor 5*h**3 - 109*h**3 + h**4 - 14*h**3 + 3481*h**2 + 0*h**4.
h**2*(h - 59)**2
Let y(u) be the second derivative of 0*u**2 + 7*u + 1/60*u**5 + 1/180*u**6 - 1/72*u**4 + 0 - 1/18*u**3. Factor y(a).
a*(a - 1)*(a + 1)*(a + 2)/6
Let g = 4820 + -4820. Determine t, given that 1/6*t**3 + g - 1/6*t**2 - 1/3*t = 0.
-1, 0, 2
Let w(r) be the first derivative of 5*r**6/6 + 10*r**5 + 45*r**4/4 + 350. Factor w(f).
5*f**3*(f + 1)*(f + 9)
Let k(y) = -10*y**2 - 23*y + 33. Let z(r) = 7*r**2 + 15*r - 22. Suppose -12*m + 14*m - 10 = 0. Let a(f) = m*k(f) + 7*z(f). Find g such that a(g) = 0.
-11, 1
Let p(r) be the third derivative of 0 + 9*r**2 + 0*r**3 - 1/30*r**5 - 1/4*r**4 + 0*r. Factor p(n).
-2*n*(n + 3)
Let r be -15 + -1 + 114/6. Factor -9/5*t**2 - 