5*d**3 - 4/5*d + 2*d**2 + 0 - o*d**4 + 2/5*d**5 = 0. Calculate d.
-2, 0, 1
Let s be (15/(-28))/((-12)/32). Let q be 5 + 290/(-70) + 2/(-7). Suppose 8/7*f**2 + q - 2/7*f**3 - s*f = 0. Calculate f.
1, 2
Let a(x) be the second derivative of -3*x**7/14 + 4*x**6/5 + 143*x**5/20 + 101*x**4/6 + 58*x**3/3 + 12*x**2 + 14*x + 2. What is i in a(i) = 0?
-1, -2/3, 6
Let p(b) be the third derivative of b**7/42 + 11*b**6/12 + 15*b**5 + 135*b**4 + 720*b**3 - 107*b**2. What is w in p(w) = 0?
-6, -4
Let l(w) be the second derivative of -2*w**3 + 5/42*w**7 - 10/3*w**4 + 0 + 11*w + 2/5*w**6 + 0*w**2 - 21/20*w**5. Determine g so that l(g) = 0.
-3, -1, -2/5, 0, 2
Let y(r) = 3*r - 16. Suppose 29*z = 27*z + 12. Let j be y(z). Solve 4/7 + 2*h**j - 18/7*h = 0.
2/7, 1
Factor 2 - 1/2*a**2 - 1/2*a**3 + 2*a.
-(a - 2)*(a + 1)*(a + 2)/2
Determine r so that -4*r + r**3 + r**3 - 5*r**2 + 29 - 4*r**3 - 30 = 0.
-1, -1/2
Let b(y) be the first derivative of y**6/300 + y**5/50 + y**4/30 + 7*y**2/2 - 7. Let s(t) be the second derivative of b(t). Solve s(a) = 0.
-2, -1, 0
Let f(o) be the second derivative of o**5/5 + 9*o**4/5 + 4*o**3/3 - 20*o. What is v in f(v) = 0?
-5, -2/5, 0
Let o = -113/105 + 11/10. Let f(p) be the second derivative of 0 - p + 1/35*p**6 + 0*p**2 + 2/35*p**5 - 2/21*p**3 - o*p**4. Determine x so that f(x) = 0.
-1, 0, 2/3
Let h(p) be the third derivative of -p**8/36960 + p**7/6930 - p**6/3960 + 23*p**4/24 + 7*p**2. Let z(f) be the second derivative of h(f). Factor z(k).
-2*k*(k - 1)**2/11
Let o(b) be the third derivative of b**8/84 - 34*b**7/105 + b**6 + 2*b**5/15 - 31*b**4/6 + 10*b**3 + 196*b**2. Factor o(a).
4*(a - 15)*(a - 1)**3*(a + 1)
Let o = -2/2923 - -5868/32153. Factor 4/11*n + 8/11*n**3 + 0 - o*n**4 - 10/11*n**2.
-2*n*(n - 2)*(n - 1)**2/11
Let w(v) be the first derivative of v**3 - 3*v**2/2 - 6*v + 64. Factor w(b).
3*(b - 2)*(b + 1)
Factor 11/2*f**4 - 47/2*f**3 + 17/2 + 40*f**2 - 121/4*f - 1/4*f**5.
-(f - 17)*(f - 2)*(f - 1)**3/4
Let h be (-26)/(-8) - ((-390)/(-24) + -15). Let q(z) be the first derivative of 9/14*z**h + 3/28*z**4 - 3 + 3/7*z + 3/7*z**3. Find m such that q(m) = 0.
-1
Let s be (-4)/(-9) - 534/12015. Factor -8/5*b + s*b**2 + 0.
2*b*(b - 4)/5
Let a(v) = -7*v**2 + 6*v + 1. Let u(m) = m**2 + 3*m + 2. Let h be u(-3). Let p(b) = 10*b**2 - 1 - 4*b + h*b - 7*b. Let l(f) = 7*a(f) + 5*p(f). Factor l(s).
(s - 2)*(s - 1)
Let d(j) be the second derivative of j**5/4 - 155*j**4/6 + 590*j**3/3 - 580*j**2 + 11*j - 14. Find r such that d(r) = 0.
2, 58
Let b(a) = -a**3 + 2*a**2 + 3*a + 2. Let z be b(-1). Let g be z + (-8)/(-7) - (-10)/35. Factor 0 - 18/7*c**5 + 4/7*c**3 - 2/7*c - g*c**4 + 8/7*c**2.
-2*c*(c + 1)**2*(3*c - 1)**2/7
Suppose -211*c - 48 = -227*c. Factor 12*i + 15/4*i**3 + 51/4*i**2 + c.
3*(i + 1)*(i + 2)*(5*i + 2)/4
Let v = 16 + -10. Factor -q - 5*q + 20*q**2 + 3*q**4 + v*q**3 - 23*q**2.
3*q*(q - 1)*(q + 1)*(q + 2)
Let m be 27/(-5) + 22/55. Let b be (6 + m)/((-1)/(-2)). Let 0*s**4 - s**4 - s**2 + 2*s**b = 0. What is s?
-1, 0, 1
Factor -1/5*f**3 + 18/5 - 7/5*f - 2*f**2.
-(f - 1)*(f + 2)*(f + 9)/5
Let s(g) be the first derivative of 5*g**5 + 0*g - 12 - 25/4*g**4 - 25/3*g**3 + 5/2*g**6 + 5*g**2. Suppose s(d) = 0. Calculate d.
-2, -1, 0, 1/3, 1
Let v(o) be the third derivative of -o**6/120 + o**5/12 - o**4/3 + 2*o**3/3 + 150*o**2 - 3. Let v(n) = 0. What is n?
1, 2
Let c(r) = 2*r**4 - 20*r**3 + 8*r**2 + 12*r - 14. Let q(n) = 2*n**4 - 18*n**3 + 10*n**2 + 12*n - 15. Let g(p) = 3*c(p) - 4*q(p). Factor g(m).
-2*(m - 3)**2*(m - 1)*(m + 1)
Let l(n) = -6*n**2 - 2*n. Let k(h) = -8*h**2 - 11*h + 11. Let v(c) = 3*c**2 + 4*c - 4. Let s(p) = 4*k(p) + 11*v(p). Let w(j) = -l(j) - 5*s(j). Factor w(r).
r*(r + 2)
Let f = -1027 + 1030. Factor 0*g - 1/2*g**2 + 0 + 1/4*g**f.
g**2*(g - 2)/4
Let b be 97/105 - 72/84. Let z(l) be the third derivative of 1/15*l**4 + 6*l**2 - b*l**3 + 0 + 0*l + 1/30*l**5. Factor z(t).
2*(t + 1)*(5*t - 1)/5
Let v(t) be the first derivative of 9/13*t**2 + 0*t - 2/39*t**3 + 17. Factor v(f).
-2*f*(f - 9)/13
Suppose g + 2 = -0, 2*m - 2 = -2*g. Suppose -3*x - 3 = m*o, -o - 4*x = 13 - 3. Factor -1/3*z - 1/3*z**3 - 2/3*z**o + 0.
-z*(z + 1)**2/3
Suppose -b - b = 7*b. Let l(d) be the second derivative of -1/30*d**5 + 0 + 2*d + b*d**3 + 1/18*d**4 + 0*d**2. Solve l(u) = 0 for u.
0, 1
Suppose -3*m + 4*z + 5 + 2 = 0, -2*z + 4 = 0. Find v such that v - 8*v**4 + v**2 + 18*v**4 - 7*v**4 - m*v**3 = 0.
-1/3, 0, 1
Let d be 14/(-24)*(-352)/308. Solve -8/3*f**2 - d*f**3 - 10/3*f - 4/3 = 0 for f.
-2, -1
Let p(i) be the second derivative of -i**5/190 - i**4/114 + 2*i**3/57 - 57*i + 2. Determine u, given that p(u) = 0.
-2, 0, 1
Let q(v) = v**3 - 20*v**2 + 21*v - 34. Let a = -134 - -153. Let w be q(a). Determine h, given that -80/7*h + 72/7*h**2 + 4/7*h**w + 32/7 - 4*h**3 = 0.
1, 2
Find c, given that -24*c + 0*c**3 + 16*c**3 - 2*c**4 + 4*c**2 + 0*c**3 + 6*c**4 + 0*c**3 = 0.
-3, -2, 0, 1
Let k(u) be the second derivative of 0*u**4 + 28*u + 2/3*u**3 - 1/25*u**6 - 1/5*u**5 + 3/5*u**2 + 0. What is p in k(p) = 0?
-3, -1, -1/3, 1
Let a = 32 - 20. Let l be (a/(-15))/(8/(-20)). Factor -m**5 - 2*m**5 + 6*m**4 + 0*m**4 - 6*m**l + 3*m.
-3*m*(m - 1)**3*(m + 1)
Let y be 2 + -1 + -2 + 1. Let t(x) = -x**2 + 3. Let p be t(0). Factor -s**3 + y*s**3 + s**p - 2*s**3 - s**2 - s**4.
-s**2*(s + 1)**2
Let j = -1/376 - -473/1128. Let m(h) be the first derivative of -5 + 7/8*h**2 - j*h**3 - 1/2*h. Solve m(s) = 0.
2/5, 1
Let r = 84/709 + 3666/4963. Solve 18/7*w - r*w**2 - 10/7 - 2/7*w**3 = 0 for w.
-5, 1
Let y(z) = -8*z**4 - 3*z**3 + 63*z**2 - 109*z + 45. Let p(x) = 54*x**4 + 22*x**3 - 442*x**2 + 762*x - 316. Let d(g) = 3*p(g) + 20*y(g). What is m in d(m) = 0?
-8, 1, 3
Let a(t) be the third derivative of 3*t**7/140 + 5*t**6/48 - t**5/20 + 3*t**2 - 11. Find z such that a(z) = 0.
-3, 0, 2/9
Let b(d) be the first derivative of d**7/42 - d**6/30 - 3*d**5/20 + 5*d**4/12 - d**3/3 + 5*d - 2. Let i(v) be the first derivative of b(v). Factor i(g).
g*(g - 1)**3*(g + 2)
Let o(s) be the first derivative of 16*s - 28 + 4/3*s**3 - 8*s**2. Solve o(q) = 0 for q.
2
Determine p so that 44 + 34 + 34 - 106 + 7*p + p**2 = 0.
-6, -1
Let o = 23 - 20. Factor 4*i**2 + o*i - 4*i**2 + 2 + i**3 - 3*i**2 - 3*i**3.
-(i - 1)*(i + 2)*(2*i + 1)
Let g(s) be the third derivative of 3*s**5/4 + 145*s**4/24 + 5*s**3 - s**2 + 341*s. Determine h, given that g(h) = 0.
-3, -2/9
Let i be (-1)/4*-2*3297/314 + -5. Determine b, given that b**3 + 0*b**4 - i*b**5 - 1/2*b**2 + 1/2 - 3/4*b = 0.
-2, -1, 1
Let -22*o**4 - 2/7*o**5 + 3040/7*o + 2888/7 - 2734/7*o**2 - 434*o**3 = 0. What is o?
-38, -1, 1
Let t(y) be the second derivative of -y**6/40 - 57*y**5/80 - 99*y**4/16 - 81*y**3/8 - 71*y. Factor t(w).
-3*w*(w + 1)*(w + 9)**2/4
Let d = 3 + 1. Let q(t) = -t + 1. Let y(n) = -9*n + 5. Let c(z) = -5*q(z) + y(z). Let j(p) = -p**2 - p + 1. Let l(o) = d*j(o) - c(o). Factor l(i).
-4*(i - 1)*(i + 1)
Let u(a) be the first derivative of -1/18*a**3 + 1/6*a + 1/24*a**4 - 1/12*a**2 + 3. Factor u(n).
(n - 1)**2*(n + 1)/6
Let t(m) be the second derivative of -m**6/2700 + m**5/225 - m**4/45 - 2*m**3 + 3*m. Let r(b) be the second derivative of t(b). Factor r(a).
-2*(a - 2)**2/15
Let x = 4/53 - -37/212. Let r(k) be the second derivative of 0*k**3 + 4*k + 3/20*k**5 + 0*k**2 + x*k**4 + 0. Factor r(f).
3*f**2*(f + 1)
Suppose 5*t + 3*d + 2*d = 10, -28 = -2*t + 4*d. Let h(l) = -l**3 + 6*l**2 - l + 8. Let v be h(t). Solve 2 + v - 2*q**2 - 2 = 0 for q.
-1, 1
Let t(f) be the third derivative of 5*f**6/24 + 41*f**5/4 - 75*f**4/2 + 130*f**3/3 + 355*f**2. Let t(l) = 0. Calculate l.
-26, 2/5, 1
Let r(i) = 3*i + 7. Let o(a) = -a**3 - 5*a**2 - 4*a + 4. Let t be o(-4). Let l be r(t). Solve -16 - 8*v - l + 19 - v**2 = 0 for v.
-4
Find m such that 276 + 108*m + 81*m**2 + 3*m**3 + 120*m + 60*m = 0.
-23, -2
Let a(r) = -7*r**4 + 4*r**2 + 3*r + 3. Let m(l) = 20*l**4 - 12*l**2 - 8*l - 8. Let x(n) = 8*a(n) + 3*m(n). Solve x(u) = 0 for u.
-1, 0, 1
Let r(g) be the second derivative of -g**8/3840 + g**7/1008 + g**6/2880 - g**5/120 - 7*g**4/4 + 10*g. Let a(u) be the third derivative of r(u). Factor a(l).
-(l - 1)**2*(7*l + 4)/4
Let p be (24/(-32))/(1 + (-19)/16). Let x(s) be the first derivative of -2/3*s**3 - 2/5*s**2 - 3/10*s**p + 2/25*s**5 + 0*s + 1/15*s**6 + 1. Factor x(y).
2*y*(y -