 the third derivative of 0 + 0*d**3 - 1/60*d**6 - t*d**2 + 1/15*d**5 + 0*d + 0*d**4. What is w in y(w) = 0?
0, 2
Let u be -1 - (31 - (-1 + 1)/2). Let a be (-5)/(175/u) + 4/14. Determine q, given that 44/15*q**2 + 16/15*q**3 + 16/5*q + a + 2/15*q**4 = 0.
-3, -1
Let d(p) be the second derivative of 0*p**3 + 18/7*p**2 - 37*p + 0 - 1/21*p**4. Suppose d(m) = 0. What is m?
-3, 3
Let h = 689/58030 + 2/829. Let q(k) be the third derivative of 0*k**5 + 0*k**4 - h*k**7 - 2*k**2 + 0*k**3 - 1/20*k**6 + 0 + 0*k. Factor q(o).
-3*o**3*(o + 2)
Let u(d) = -13*d**2 - 39*d - 32. Let h(a) = 37*a**2 + 117*a + 97. Let m(s) = 6*h(s) + 17*u(s). Let m(l) = 0. What is l?
-38, -1
Suppose -5*f - 21 = -2*p, 5*p - f = 3*f + 78. Let -21 + 8 - 3*s**2 - p*s - 11 = 0. What is s?
-4, -2
Let r(o) be the second derivative of -1/5*o**5 - 14*o + 2/3*o**4 + 0*o**3 + 1/60*o**6 + 0*o**2 + 0. Factor r(v).
v**2*(v - 4)**2/2
Suppose g = -4*u - 11, 4*g - 2*u - 10 = -36. Let r be (9/(-21))/(2/g). Factor 0*b - r*b**4 + 3/2*b**3 + 0 + 1/2*b**5 - 1/2*b**2.
b**2*(b - 1)**3/2
Let c(w) be the first derivative of 2*w**3/15 + 56*w**2/5 - 226. Factor c(j).
2*j*(j + 56)/5
Let k be 2/3 - (-58)/3. Suppose -k = -4*p - p. Determine j so that -8*j**3 - j + p + 7*j**3 + j - 3*j**2 = 0.
-2, 1
Let r(b) be the third derivative of -b**5/270 - 5*b**4/54 - 10*b**2. Let r(c) = 0. Calculate c.
-10, 0
Suppose 5*p - 7 - 18 = -5*i, -5*i = 4*p - 22. Let o(q) be the first derivative of 4 + 0*q + 5/4*q**4 + 0*q**2 - 5/3*q**p. Factor o(f).
5*f**2*(f - 1)
Let p(f) be the second derivative of f**4/60 + 68*f**3/15 + 2312*f**2/5 + 200*f. Factor p(g).
(g + 68)**2/5
Let -75*d + 125/2 + 3*d**3 - 1/2*d**4 + 10*d**2 = 0. What is d?
-5, 1, 5
Let k(w) be the third derivative of -w**6/20 + 4*w**5/15 - 7*w**4/12 + 2*w**3/3 - 25*w**2. Factor k(z).
-2*(z - 1)**2*(3*z - 2)
Let q = 19 - 16. Factor -25*j - j**q - 29 - 20*j**2 + 19 - 4*j**3.
-5*(j + 1)**2*(j + 2)
Let j be -14 + 44/3 - 0. Let -j*b**2 - 4 - 14/3*b = 0. Calculate b.
-6, -1
Let z(f) be the third derivative of -1/735*f**7 + 1/140*f**6 + 0*f**4 - 3*f**2 + 0*f + 0 + 0*f**3 - 1/105*f**5. Factor z(y).
-2*y**2*(y - 2)*(y - 1)/7
Let k(t) be the second derivative of -59*t**7/98 + 148*t**6/35 - 1077*t**5/140 - 115*t**4/14 + 34*t**3 - 12*t**2/7 - 5*t + 10. Find g, given that k(g) = 0.
-1, 1/59, 2
Let r(n) = n**2 + 7*n + 12. Let p be r(-8). Let o be (-20)/3*(-312)/p. What is f in -o*f**4 - 40*f + 8 + 140*f**3 - 3*f**2 + 202*f**4 - 3*f**2 = 0?
-1, 2/7
Let b(j) be the first derivative of -2*j**6/15 + 4*j**5/5 - j**4 - 40*j + 32. Let h(d) be the first derivative of b(d). Factor h(z).
-4*z**2*(z - 3)*(z - 1)
Let z(u) be the second derivative of -u**4/25 + 31*u**3/75 - u**2/5 - u - 50. Determine l, given that z(l) = 0.
1/6, 5
Let d = -575 - -391. Let a = d - -1475/8. Find m such that 3/8*m**2 - 3/4 - a*m = 0.
-1, 2
Let d(o) = -3*o**3 + 5*o**2 + 12*o - 3. Let l(c) = -c**3 + 3*c**2 + 6*c - 1. Let i(s) = s**2 - 5*s - 9. Let k be i(6). Let f(m) = k*d(m) + 7*l(m). Factor f(h).
2*(h + 1)**3
Let z(a) = 60*a**2 - 335*a + 325. Let h(s) = -5*s**2 + 28*s - 27. Let f(i) = -i**2 - 10*i + 26. Let d be f(-9). Let l(m) = d*h(m) + 3*z(m). Factor l(c).
5*(c - 3)*(c - 2)
Let k be (24/10)/((-87)/(-290)). Factor -k - 21*l**2 + 4 + 4*l + 20*l + l**2.
-4*(l - 1)*(5*l - 1)
Let i(r) = r**2 - r**3 - 27 + 42 - 12 + r. Let o be i(0). Factor 3/2*z**o - 1/4*z**4 - 13/4*z**2 + 3*z - 1.
-(z - 2)**2*(z - 1)**2/4
Let c(h) be the first derivative of 3 + 0*h + 4*h**2 - 4/9*h**3 + 1/30*h**5 + 0*h**4 - 1/180*h**6. Let l(s) be the second derivative of c(s). Factor l(t).
-2*(t - 2)**2*(t + 1)/3
Let d(i) be the first derivative of -i**6/30 + 2*i**5/15 + 7*i**4/6 + 8*i**3/3 + i**2 - 7. Let w(t) be the second derivative of d(t). Factor w(z).
-4*(z - 4)*(z + 1)**2
Let m(o) be the first derivative of 1/11*o**3 - 1 + 3/2*o**2 + 0*o + 1/330*o**5 - 1/33*o**4. Let r(k) be the second derivative of m(k). Factor r(q).
2*(q - 3)*(q - 1)/11
Let c(i) be the third derivative of 26*i**2 - 1/120*i**5 - 1/3*i**3 - 1/12*i**4 + 0*i + 0. Find a such that c(a) = 0.
-2
Let a be (670/60 + -11)/(-5 - 364/(-72)). Factor -8/5*d**2 + 8/5 - 2/5*d**a + 2/5*d.
-2*(d - 1)*(d + 1)*(d + 4)/5
Let g(k) = -215*k**2 + 11*k + 1. Let s be g(1). Let y = s + 205. Factor -4/11*n**y - 6/11*n**3 + 2/11*n + 0.
-2*n*(n + 1)*(3*n - 1)/11
Suppose 2*s + 420 = -4*s. Let o be (-8)/(-2) - s/(-21). Find l such that o*l**3 - 8/9*l**2 + 2/9*l + 0 = 0.
0, 1/3, 1
Let o(r) = 22*r - 132. Let m be o(6). Let g(q) be the third derivative of 0*q + m*q**3 + 1/60*q**6 + 1/3*q**4 - 2/15*q**5 - 4*q**2 + 0. Factor g(c).
2*c*(c - 2)**2
Suppose 0 = 5*f - u + 228 - 239, -3*f + 13 = u. Determine l so that 7/4*l**2 - 1 + 3/8*l**4 - 1/2*l + 13/8*l**f = 0.
-2, -1, 2/3
Let p(s) be the second derivative of 0*s**3 + 0*s**2 + 1/21*s**7 - 2*s + 1/6*s**5 + 0 - 7/45*s**6 - 1/18*s**4. Solve p(x) = 0 for x.
0, 1/3, 1
Let q = -14 + 7. Let l = q + 9. Let 2*a**2 + 2*a**2 - 9*a - 2*a**l + a**2 = 0. Calculate a.
0, 3
Let c(f) be the second derivative of -f**4/42 + 6*f**3/7 - 45*f**2/7 - 113*f. Determine w so that c(w) = 0.
3, 15
Let 0*d + 3/5*d**3 + 1/5*d**4 - 4/5*d**2 + 0 = 0. Calculate d.
-4, 0, 1
Let g(m) be the second derivative of -m**7/315 - 2*m**6/75 - 2*m**5/25 - 4*m**4/45 - 103*m. Find s such that g(s) = 0.
-2, 0
Let j be (-21)/(2142/493) + 5. Factor 0 + 5/6*d**2 + 1/6*d**3 - j*d**4 + 1/2*d.
-d*(d - 3)*(d + 1)**2/6
Suppose -48*u + 114*u = 132. Determine t so that 0*t**3 + 0 + 3/7*t**5 + 0*t - 3/7*t**4 + 0*t**u = 0.
0, 1
Let f(q) be the second derivative of 6*q**6/5 + 156*q**5/5 + 916*q**4/3 + 4160*q**3/3 + 3200*q**2 - 461*q - 1. Factor f(o).
4*(o + 2)**2*(3*o + 20)**2
Let s(y) = -y**2 - 17*y - 60. Let q be s(-5). Suppose 0*u**2 + q - 10/3*u**3 - 5/3*u**4 + 0*u = 0. Calculate u.
-2, 0
Let w be (-3)/(((-2)/12)/((-24)/(-108))). Suppose k = 4*k - 6. Factor 27*b**k + 33*b - 3*b**4 + 2*b**w - 12*b + 15*b**3 + 4*b**4 + 6.
3*(b + 1)**3*(b + 2)
Let y be -2 + (-50)/(-15) - (-6)/9. Let 0 - 26*z**y + 6*z + 0 + 43*z**2 + 5*z**3 = 0. What is z?
-3, -2/5, 0
Let h be 3020/6 - (4 + 66/(-18)). Determine c, given that 176*c + 90 + 39*c - 528*c**2 + h*c**2 = 0.
-2/5, 9
Suppose 5*z - 10 = -2*h - 2*h, -2*h + 4*z = 8. Let u be 1 - (-1 + h + 2). Factor -4*f**5 + 7*f**3 - 4*f**3 + f**5 + u*f**5.
-3*f**3*(f - 1)*(f + 1)
Let z(w) = -142*w + 996. Let s be z(7). Let j(i) be the first derivative of 5/9*i**3 + 10/3*i + 5/2*i**s + 9. What is m in j(m) = 0?
-2, -1
Let p(l) = l**3 + 6*l**2 - 8*l - 5. Let n be 7 + -9 + -3 + -2. Let s be p(n). Factor 0*k**3 + s*k**4 + 8 + 2*k**4 - 4*k + 3*k**3 + k**3 - 12*k**2.
4*(k - 1)**2*(k + 1)*(k + 2)
Let c(q) be the second derivative of -4*q**2 + 1/20*q**5 + 0 + 10*q + 1/6*q**4 - 2/3*q**3. Solve c(p) = 0 for p.
-2, 2
Let q be (-17)/(-34)*(0/1)/(-1). Factor -3/5*s**4 - 3/5*s**3 + 36/5*s**5 + 0*s**2 + q + 0*s.
3*s**3*(3*s - 1)*(4*s + 1)/5
Factor -3/4 - 9/4*o - 3/4*o**3 - 9/4*o**2.
-3*(o + 1)**3/4
Solve 2/3 + 1/3*c - 2/3*c**2 - 1/3*c**3 = 0 for c.
-2, -1, 1
Suppose -4 = -2*p - 25*t + 28*t, -t - 6 = -3*p. Let k(f) be the first derivative of 2/15*f**3 - 2/5*f - 1/10*f**4 + 1/5*f**p - 2. Let k(q) = 0. Calculate q.
-1, 1
Let g(p) be the second derivative of -p**6/10 - 3*p**5/4 + 21*p**4/4 - 23*p**3/2 + 12*p**2 - 9*p - 4. Determine z so that g(z) = 0.
-8, 1
Factor 0*g**4 + g**2 + 0 + 0*g - 3/2*g**3 + 1/2*g**5.
g**2*(g - 1)**2*(g + 2)/2
Let g = -19093/4 + 4776. Let 21/4*d**3 + g*d + 1/4 + 31/4*d**2 = 0. Calculate d.
-1, -1/3, -1/7
Suppose 4*t - 39 = 281. Find x such that t*x + 53 - 3*x**2 - 453 - x**2 = 0.
10
Let m(z) = z**4 - 2*z**3 - z**2 - 2*z - 1. Let r(o) = -15*o**4 + 12*o**3 + 75*o**2 + 18. Let w(v) = -18*m(v) - r(v). Factor w(k).
-3*k*(k - 4)*(k - 3)*(k - 1)
Let l(n) = 106*n - 421. Let y be l(4). Solve -15/2*c**2 - 9/2*c**y - 3/2*c + 15/2*c**4 + 6*c**5 + 0 = 0 for c.
-1, -1/4, 0, 1
Let a(d) be the second derivative of -2*d**6/195 + d**5/130 + d**4/26 - 122*d. Factor a(h).
-2*h**2*(h + 1)*(2*h - 3)/13
Let c be (-2)/10*(-2)/4. Let k(r) be the second derivative of -1/3*r**3 + 0 + c*r**5 + 0*r**2 + 5/12*r**4 - 1/6*r**6 + 2*r. Solve k(j) = 0 for j.
-1, 0, 2/5, 1
Let p(w) be the third derivative of w**6/780 - w**5/15 + 25*w**4/156 - 88*w**2. Solve p(i) = 0 for i.
0, 1, 25
Let g = 4813 + -62565/13. Factor -g*o 