second derivative of 0*k**2 - k - 1/90*k**5 - 1/27*k**3 + 1/27*k**4 + 0. Factor w(l).
-2*l*(l - 1)**2/9
Let c(p) be the second derivative of -p**6/75 - 4*p**5/25 + 2*p - 1. Factor c(l).
-2*l**3*(l + 8)/5
Suppose 0 = q + 1 - 3. Factor -441*d**2 + 0*d**4 - 6*d**3 + 441*d**q + 3*d**4.
3*d**3*(d - 2)
Let g(f) be the second derivative of -f**5/5 + 2*f**4/3 + 14*f**3/3 + 8*f**2 + 81*f. What is i in g(i) = 0?
-1, 4
Find w such that -17/3*w - 16/3 - 1/3*w**2 = 0.
-16, -1
Let y = 71/102 - 1/34. Suppose 32*x - 4 = 30*x. Factor 0*w + 0 - y*w**x.
-2*w**2/3
Find d such that -3616*d**3 + 76*d**5 - 116 + 14976*d**4 - 613*d**2 + 1164*d - 588*d**5 - 2211*d**2 = 0.
-1/2, 1/4, 29
Determine w, given that 4*w**5 - 12*w**3 - 22*w - 87*w**2 + 103*w**2 + 38*w - 8*w**4 = 0.
-1, 0, 2
Let i(v) be the second derivative of 9*v**5/20 + 17*v**4/6 - 4*v**3/3 + 14*v. Determine p so that i(p) = 0.
-4, 0, 2/9
Let f(d) be the third derivative of d**5/120 + 115*d**4/48 - 29*d**3/3 - 66*d**2 + d. Suppose f(b) = 0. What is b?
-116, 1
Let b(a) be the first derivative of 5*a**4/4 - 40*a**3/3 - 41. Let b(n) = 0. What is n?
0, 8
Let v(y) = -45*y**4 + 10*y**3 + 50*y - 15. Let n(h) = -2*h**4 + h**3 + 2*h - 1. Let i(m) = -20*n(m) + v(m). Determine f, given that i(f) = 0.
-1, 1
Suppose -1/4*g**3 - 17/4*g - 15/2 + 3*g**2 = 0. What is g?
-1, 3, 10
Suppose -2*s - y - 8 = -0*s, 4*s - 8 = 4*y. Let a be ((-1)/s)/(5/40). Factor -3*d**3 + 0*d**3 - 7*d**3 - 5*d - d**5 + 5*d**4 + 1 + 0*d**a + 10*d**2.
-(d - 1)**5
Let i = 2 - -8. Factor 24*s + 4*s**3 + 2*s**3 - 9*s**2 - 16 - i*s**3 + 5*s**3.
(s - 4)**2*(s - 1)
Let x be (-39)/65 + 11*5/50. Let w(a) be the second derivative of 0 + x*a**2 - 7/12*a**3 + 1/8*a**4 - 6*a. Let w(j) = 0. What is j?
1/3, 2
Let o be ((-57)/21 - -3) + (-24)/(-14). Factor -7*l + 0*l - 5*l + l**2 - 4*l**o.
-3*l*(l + 4)
Let m(s) = 2*s**2 - 6*s**2 + 6*s**2 - 6 - 11*s + 0*s**2. Let o be m(6). Factor 2*j + 2/3*j**2 + o.
2*j*(j + 3)/3
Let 4*o**4 + 20*o**3 - 3*o + 19*o**3 - 23*o + 9*o**3 - 22*o - 4*o**2 = 0. What is o?
-12, -1, 0, 1
Determine h, given that -60*h**4 - 7 - 145*h**3 - 41*h**5 + 66*h**5 - h**2 - 59*h**2 + 7 = 0.
-1, -3/5, 0, 4
Find k, given that 64/11*k + 76/11*k**3 - 18/11*k**4 - 24/11 + 182/11*k**2 = 0.
-1, 2/9, 6
Let m(u) be the third derivative of 11/36*u**4 - 1/315*u**7 + 1/10*u**5 + 0 + 4/9*u**3 - 25*u**2 + 0*u + 1/180*u**6. Let m(d) = 0. What is d?
-1, 4
Let v = -12333 + 86334/7. Determine t, given that 0 + 15/7*t**3 - v*t - 12/7*t**2 = 0.
-1/5, 0, 1
Let w(i) = 5*i**2 - 13*i - 2. Let z(y) = -5*y**2 + 12*y + 3. Let b = -34 - -32. Let v(o) = b*z(o) - 3*w(o). Find s, given that v(s) = 0.
0, 3
Suppose 5*o + 10 = -3*p, 0 = -3*p - o - 3*o - 11. Let u(t) = 5*t**2 - 3*t + 2. Let k(n) = -11*n**2 + 6*n - 5. Let x(c) = p*u(c) - 2*k(c). Factor x(r).
-3*r*(r - 1)
Let y be 0 - -2*3/(-6). Let d(t) = -t**3. Let w(s) = -13*s**3 - 21*s**2 - 15*s - 3. Let l = 14 + -10. Let m(k) = l*d(k) + y*w(k). Find z, given that m(z) = 0.
-1, -1/3
Let w(f) be the second derivative of -f**7/14 + 3*f**6/10 + 51*f**5/20 + 9*f**4/4 - 8*f**3 - 18*f**2 + 558*f. Find m, given that w(m) = 0.
-2, -1, 1, 6
Let b(f) be the second derivative of f**6/1080 + f**5/90 + f**3/6 - 27*f. Let z(g) be the second derivative of b(g). Factor z(u).
u*(u + 4)/3
Let v(f) be the third derivative of f**7/420 - f**5/30 + 39*f**2 + 1. Factor v(p).
p**2*(p - 2)*(p + 2)/2
Suppose -36/5 - 37/5*b - 1/5*b**2 = 0. Calculate b.
-36, -1
Let y(m) be the third derivative of -13*m**6/24 + 11*m**5/12 + 35*m**4/6 + 10*m**3/3 + 50*m**2. Find a such that y(a) = 0.
-1, -2/13, 2
Let v(b) be the third derivative of 7*b**2 + 0*b + 4/63*b**3 + 0 + 1/70*b**5 + 1/21*b**4. Factor v(x).
2*(3*x + 2)**2/21
Let g(d) be the first derivative of d**6/2 + 57*d**5/5 + 45*d**4/4 - 59*d**3 - 138*d**2 - 108*d + 330. Factor g(m).
3*(m - 2)*(m + 1)**3*(m + 18)
Suppose 0 = -5*n - h + 21, -2*n + 0*h = h - 6. Let s(q) = q - 2. Let f be s(n). Suppose -2/11 - 6/11*b**2 - 6/11*b - 2/11*b**f = 0. What is b?
-1
Let p(l) be the third derivative of -1/150*l**5 + 0 + 0*l - 31*l**2 + 1/12*l**4 - 2/5*l**3. Let p(r) = 0. Calculate r.
2, 3
Let h(b) = 6*b**2 - 5*b - 6. Let f be h(-1). Suppose 11*s**f - 7*s**5 + 7*s**4 + 8*s**3 + 5*s**4 = 0. What is s?
-2, -1, 0
Let l be ((-1524)/90 + 16)/(-4 + (-117)/(-30)). Factor 8/3 + l*r**2 - 12*r.
4*(r - 1)*(7*r - 2)/3
Solve -4/5*i + 3/5 + 1/5*i**2 = 0 for i.
1, 3
Let y = 111 - 109. Let m(c) be the second derivative of -1/6*c**y + 1/36*c**4 + 0*c**3 + 2*c + 0. Find w such that m(w) = 0.
-1, 1
Let t = -539/10 + 105/2. Let w = t + 26/15. Determine b, given that -w*b**3 + 1/3*b**2 + 2/3*b + 0 = 0.
-1, 0, 2
Let y(h) = h - 1. Let m = 73 - 63. Let f(t) = t**3 - 2*t**2 + 5*t - 5. Let v(z) = m*y(z) - 2*f(z). Suppose v(l) = 0. What is l?
0, 2
Let i(s) = -4*s**3 + 6*s**2 - 12*s + 6. Let q(u) = 5*u**3 - 5*u**2 + 13*u - 7. Let g(d) = 3*i(d) + 2*q(d). Factor g(w).
-2*(w - 2)*(w - 1)**2
Let z(g) be the third derivative of -g**9/18900 - g**8/4200 - g**7/2800 - g**6/3600 + g**5/20 - g**2. Let m(u) be the third derivative of z(u). Factor m(a).
-(a + 1)*(4*a + 1)**2/5
Let c(x) = -x**2 + 1. Let r(y) = 173*y**2 - 1 - 1 + 7 - 178*y**2. Let s(g) = -6*c(g) + r(g). Factor s(k).
(k - 1)*(k + 1)
Factor 6 - 41/7*r - 2/7*r**2 + 1/7*r**3.
(r - 7)*(r - 1)*(r + 6)/7
Let u(s) be the third derivative of s**6/300 + 7*s**5/150 + s**4/4 + 3*s**3/5 + 14*s**2 - s. Let u(v) = 0. Calculate v.
-3, -1
Let d(h) = 2*h**4 + 2*h**3 - 7*h**2. Let n(t) = 25*t**4 + 25*t**3 - 85*t**2. Let i(v) = -35*d(v) + 3*n(v). Factor i(a).
5*a**2*(a - 1)*(a + 2)
Suppose 3*b + 6 = 4*z - 17, 0 = -5*z - 2*b + 23. Factor 15*m**4 + 4*m**z - 2*m**3 + 3*m**5 + 5*m**3 + 5*m**5.
3*m**3*(m + 1)*(4*m + 1)
Suppose -22 = -3*c - 8*c. Let -274*q**2 - 7*q**3 + 3*q**3 + 278*q**c = 0. What is q?
0, 1
Factor 1/2*m**5 + 23/2*m**3 + 4*m**4 + 6*m + 0 + 14*m**2.
m*(m + 1)*(m + 2)**2*(m + 3)/2
Determine p, given that 2/3*p**2 - 4/3*p + 0 + 2/3*p**3 = 0.
-2, 0, 1
Factor -1/11*s**2 + 4/11 + 0*s.
-(s - 2)*(s + 2)/11
Let a(l) be the second derivative of 0*l**2 + 0 - 21*l - 1/4*l**4 - 3/2*l**3. Factor a(p).
-3*p*(p + 3)
Let w be (-9)/6*6/18*-478. Let t = w + -3105/13. Factor 2/13*n**4 + 2/13 - 4/13*n**3 + 2/13*n**5 - 4/13*n**2 + t*n.
2*(n - 1)**2*(n + 1)**3/13
Let k(s) be the third derivative of s**5/240 + 17*s**4/48 + 289*s**3/24 - 44*s**2. Solve k(n) = 0 for n.
-17
Let d be 16/6 - (-3 - (-22)/6). What is i in 17*i**2 + 38*i + 0*i**d + 15*i**2 - 6*i**2 - 38*i**3 - 14*i**4 - 12 = 0?
-3, -1, 2/7, 1
Let m be 7/5 + 3/5. Let d(a) be the second derivative of 1/13*a**3 - 5/78*a**4 + 5*a + 0 + 2/13*a**m. Factor d(j).
-2*(j - 1)*(5*j + 2)/13
Let k(z) = -5*z**3 + z**2. Let m(h) = -17*h**3 + 17*h**2 - 16*h - 32. Let b(v) = 3*k(v) - m(v). Determine s so that b(s) = 0.
-1, 4
Let z = 5/1128 + 2231/5640. Factor 0 + z*k - 1/5*k**2.
-k*(k - 2)/5
Let z(j) be the second derivative of -7*j**5/120 + 3*j**4/8 + j**3/9 - 313*j. Factor z(m).
-m*(m - 4)*(7*m + 1)/6
Let h(i) be the third derivative of i**6/60 + 13*i**5/30 + 4*i**4/3 - 64*i**3 - 788*i**2. Factor h(z).
2*(z - 3)*(z + 8)**2
Let f = 1159/1989 + -6/221. Let b(a) be the first derivative of 2*a**2 + f*a**3 + 4/3*a - 4. Factor b(j).
(j + 2)*(5*j + 2)/3
Let d(r) be the third derivative of -r**7/4200 + r**4/6 - 13*r**2. Let n(z) be the second derivative of d(z). Suppose n(a) = 0. Calculate a.
0
Let n(k) be the second derivative of 7/24*k**4 - 1/4*k**2 - k + 1/6*k**3 + 1/10*k**5 + 34. Find r such that n(r) = 0.
-1, 1/4
Factor -60*z**2 + 1152 - 96*z + 30*z**2 + 32*z**2.
2*(z - 24)**2
Let z(w) be the second derivative of -w**8/4200 + w**7/525 - w**6/180 + w**5/150 - 17*w**3/2 + 56*w. Let v(c) be the second derivative of z(c). Factor v(x).
-2*x*(x - 2)*(x - 1)**2/5
Let v = 516/7 + -8716/119. Determine h so that -v*h + 8/17*h**2 + 0 - 2/17*h**3 = 0.
0, 2
Let b = 72 + -72. Suppose 3*x = -0*x - 5*k + 34, -x - 5*k + 28 = b. Let 4/11 + 2/11*s**x - 2/11*s - 4/11*s**2 = 0. Calculate s.
-1, 1, 2
Let n(x) be the third derivative of -x**6/720 + 7*x**5/120 - 5*x**4/36 + 8*x**2 + 4. Factor n(z).
-z*(z - 20)*(z - 1)/6
Let s(x) = x**2 - 2*x - 20. Let m be s(6). Let v be (m - 135/55) + -1. Factor 6/11*u**4 + 2/11*u**5 - v*u - 2/11 - 4/11*u**2 + 4/11*u**3.
2*(u - 1)*(u + 1)**4/11
Suppose -64*i = -61*i - 9. Let a(z) 