 the first derivative of 3*d**6/4 - 15*d**5 + 673*d**4/8 - 200*d**3/3 + 16*d**2 - 52. Factor s(x).
x*(x - 8)**2*(3*x - 1)**2/2
Let h be (-442)/3400 - (-4)/30. Let c(w) be the third derivative of 0*w**3 + 1/120*w**4 + 0 + 0*w - h*w**5 + 4*w**2. Determine x so that c(x) = 0.
0, 1
Let x = -549 - -549. Let b be 10/4 + 1/(-2). Determine o, given that x + 1/4*o**4 + 0*o**b - 1/4*o**3 + 0*o = 0.
0, 1
Let c(q) = -64*q**3 - 164*q**2 + 12*q + 228. Let x(l) = -l**4 - 193*l**3 - 493*l**2 + 37*l + 683. Let d(y) = -11*c(y) + 4*x(y). Factor d(r).
-4*(r - 1)*(r + 2)**2*(r + 14)
Let g(t) = -4*t - 2. Let w be ((-7)/21)/((-1)/(-3)). Let q be g(w). What is o in 17*o**2 - 2 + 2 - 15*o**2 - q = 0?
-1, 1
Suppose 3*v = 37 + 11. Let p = 20 - v. Let -3*l**4 - 4*l + 0*l**p + 4*l**2 - l**4 + 4*l**3 = 0. What is l?
-1, 0, 1
Let y(f) = 32*f**4 - 48*f**3 - 12*f**2 + 12*f - 12. Let g(z) = 13*z**4 - 19*z**3 - 5*z**2 + 5*z - 5. Let o(k) = -12*g(k) + 5*y(k). Factor o(m).
4*m**3*(m - 3)
Let n(l) be the second derivative of -l**6/2340 - l**5/780 + l**3/3 - 9*l. Let x(a) be the second derivative of n(a). Solve x(h) = 0.
-1, 0
Factor 0*y + 5/9*y**4 + 0*y**2 + 1/9*y**5 + 4/9*y**3 + 0.
y**3*(y + 1)*(y + 4)/9
Let l be 44/24 - (3 + (-32)/12). Let r(k) be the second derivative of l*k**3 + 0*k**4 - 6*k + 3*k**2 - 3/20*k**5 + 0. Let r(g) = 0. What is g?
-1, 2
Let n(d) = d. Let g(a) = -7*a**3 - 23*a**2 - 17*a - 4. Suppose -r - 5*p = -16 - 10, p = -3*r + 8. Let c(b) = r*g(b) - 3*n(b). What is u in c(u) = 0?
-2, -1, -2/7
Let r(x) be the third derivative of x**5/30 + x**3/3 - 13*x**2. Let h(l) = l**2 - l - 1. Let i(k) = 4*h(k) + r(k). Factor i(s).
2*(s - 1)*(3*s + 1)
Let u(c) be the third derivative of -c**5/160 - 27*c**4/8 - 729*c**3 + 49*c**2 - 3*c. Factor u(n).
-3*(n + 108)**2/8
Let n(j) = 2 - 6 + 35*j - 21 + 5*j**3 - 30*j**2. Let h(a) = -a**2 - a - 1. Let m(w) = 5*h(w) - n(w). Suppose m(y) = 0. What is y?
1, 2
Let a = 699 - 9781/14. Let s(l) be the first derivative of -a*l**2 + 4/7*l + 8 + 1/21*l**3. Factor s(h).
(h - 4)*(h - 1)/7
Let t = 318013/45 - 7066. Let g = -5/9 + t. What is v in g*v - 4/5*v**2 + 2/5 = 0?
-1/2, 1
Let j(d) be the second derivative of 0 + 18*d + 1/60*d**4 + 0*d**2 + 0*d**3. Suppose j(i) = 0. Calculate i.
0
Let l(f) = -f**3 + 13*f**2 - 10*f - 23. Let z be l(12). Let r be 4 + 3 + -5 + z. Determine q, given that 0 + 2/5*q**r - 6/5*q**2 + 4/5*q = 0.
0, 1, 2
Let w(y) = 2*y**4 + 2*y**3 + y. Let l(n) = n**5 - 7*n**4 - 23*n**3 - 15*n**2 - 3*n. Let i(f) = -l(f) - 3*w(f). Factor i(q).
-q**2*(q - 5)*(q + 1)*(q + 3)
Let g be -1*(2 + (-9)/3) + 2. Let p(n) be the first derivative of -11 - 3*n**g + 3/2*n**4 - 3/2*n + 3*n**2 - 3/10*n**5. What is q in p(q) = 0?
1
Solve -2/23*n**4 + 28/23*n - 24/23*n**2 - 28/23*n**3 + 26/23 = 0.
-13, -1, 1
Suppose -182 - 13135*y**4 - 12375*y**3 + 445 - 6450*y**2 - 170 - 213 + 4385*y**4 - 1460*y = 0. Calculate y.
-2/5, -3/14
Suppose -3*l - 32 = l. Let k be (2/(-6))/(l/12)*4. Suppose -3/4*f**3 + 0 + 0*f - 3/4*f**4 - 1/4*f**k - 1/4*f**5 = 0. Calculate f.
-1, 0
Let o(w) be the third derivative of w**6/90 - w**5/10 + w**4/3 + w**3/3 - 9*w**2. Let c(q) be the first derivative of o(q). Let c(i) = 0. What is i?
1, 2
Let d be (15/(-90))/((-3)/27). Suppose d*u - 3/2*u**2 + 3 = 0. What is u?
-1, 2
Determine b, given that -3/4*b**2 - 9/2 - 21/4*b = 0.
-6, -1
Suppose -4*v = -49 - 3. Let x(z) = z**3 - 13*z**2 - z + 16. Let r be x(v). Factor 0*p**2 + 0*p + 0 - 1/5*p**5 - 2/5*p**4 - 1/5*p**r.
-p**3*(p + 1)**2/5
Suppose 0*m + 5*m = -4*x + 70, -3*m + x = -59. Suppose -4*r = -4*u + 2*u - m, 2*u = -4*r + 14. What is j in 8*j + 4 - 5*j**3 + 0 + 5*j**3 - 4*j**r - 8*j**3 = 0?
-1, 1
Let n(x) be the first derivative of x**6/21 + 96*x**5/35 + 384*x**4/7 + 8192*x**3/21 - 83. Factor n(c).
2*c**2*(c + 16)**3/7
Suppose 3*u = u + 2. Let f(s) = 13*s**4 - 8*s**3 - 15*s**2 + 4*s. Let w(n) = n**4 + n**3 + n. Let z(j) = u*f(j) + 2*w(j). Factor z(t).
3*t*(t - 1)*(t + 1)*(5*t - 2)
Let t(h) = h**2 + 36*h - 398. Let l(u) = -2*u**2 - 34*u + 397. Let d(n) = -2*l(n) - 3*t(n). Factor d(p).
(p - 20)**2
Let y(w) be the first derivative of 2*w**5/115 + w**4/23 - 2*w**3/23 - 4*w**2/23 + 8*w/23 - 21. Factor y(m).
2*(m - 1)**2*(m + 2)**2/23
Suppose -3*d = 5*i + 418 - 449, 2*i = 10. Factor -3*g**d - 9*g**4 - 9*g**3 - 1/3*g + 0.
-g*(3*g + 1)**3/3
Let s(n) be the first derivative of -49*n**6/27 + 154*n**5/45 + 719*n**4/9 - 1672*n**3/27 + 40*n**2/3 + 318. Determine j, given that s(j) = 0.
-5, 0, 2/7, 6
Let k = 1711 + -1709. Let b(t) be the second derivative of -1/50*t**5 + 3*t - 1/15*t**4 + 2/5*t**k + 1/15*t**3 + 0. Find u such that b(u) = 0.
-2, -1, 1
Let l(w) = -11037*w**3 - 11989*w**2 - 964*w - 8. Let s(k) = 121405*k**3 + 131880*k**2 + 10605*k + 85. Let v(a) = 45*l(a) + 4*s(a). Find b, given that v(b) = 0.
-1, -2/47
Let b(q) be the first derivative of q**6/36 - q**5/30 - 7*q**4/8 - 47*q**3/18 - 10*q**2/3 - 2*q - 233. Factor b(g).
(g - 6)*(g + 1)**3*(g + 2)/6
Suppose 0 = 3*o + o - 16, -2*h + 22 = 4*o. What is t in 19*t**2 + 16*t**2 - 35*t**2 - 6*t**3 - h*t**4 = 0?
-2, 0
Let p(d) = -5476*d**2 + 1191*d - 71. Let a(k) = -2738*k**2 + 595*k - 35. Let s(f) = 14*a(f) - 6*p(f). Factor s(b).
-4*(37*b - 4)**2
Let o(w) = 4*w**2 - 66*w + 66. Let a(i) = 3*i**2 - 65*i + 68. Let g(r) = -4*a(r) + 6*o(r). Solve g(u) = 0 for u.
1, 31/3
Suppose 0 = -k + 1, -n - 5*k + 2*k = -5. Factor 0*h - h - 7*h + h**2 + h**n.
2*h*(h - 4)
Factor 10*b**2 - 316*b**3 - 16*b + 8 - 312*b**3 + 626*b**3.
-2*(b - 2)**2*(b - 1)
Determine z, given that -32 + 46*z**2 - 18/5*z**3 - 668/5*z = 0.
-2/9, 5, 8
Determine p so that -16*p**4 - 134 - 88*p**3 + 273 - 170*p**2 + 25*p + 111 - p**5 = 0.
-5, -2, 1
Suppose 0 = 4*f - 20, -k + 4*f + 4 = 0. Let l be 6/(4/(k/9)). Factor -9/2*r**3 - 3/4*r - 3/4*r**5 + 0 - 3*r**l - 3*r**2.
-3*r*(r + 1)**4/4
Suppose 2*f = -3*l - 6, -3*l + 5*l - 3*f - 9 = 0. Suppose -2*o - 5*s + 3 + 2 = l, -s = -5*o - 1. Solve o*q**2 + 3/4*q**4 + 0 - 3*q + 9/4*q**3 = 0 for q.
-2, 0, 1
Let v(a) be the third derivative of -a**6/90 + a**5/30 + a**4/3 - a**3/2 + 11*a**2. Let q(x) be the first derivative of v(x). Factor q(t).
-4*(t - 2)*(t + 1)
Let y = -1 - -3. Let o(b) = 2*b**2 - 2*b - 1. Let m be o(y). Factor -4 + 6*g + 2*g**m - 6*g - 8*g**2 + 5*g + 5*g.
2*(g - 2)*(g - 1)**2
Suppose -3*b + 10 = 4*j, -4 = -b - 6. Let w(z) be the second derivative of 0 - 1/24*z**j + 1/3*z**2 - 5*z + 1/9*z**3. Factor w(n).
-(n - 2)*(3*n + 2)/6
Let k be ((-6)/9)/2 + (-7)/(-7). Factor -l**2 - k*l + 1/3.
-(l + 1)*(3*l - 1)/3
Suppose -3*p = n - 2*n, -3*n - 5*p = -n. Find c such that -12/5*c**4 - 6/5*c**3 + 6/5*c + n + 12/5*c**2 = 0.
-1, -1/2, 0, 1
Let -2/7*q**2 - 162/7 - 36/7*q = 0. Calculate q.
-9
Let k be (435/(-75) - -6)/((-6)/(-16)). Factor -2/3*f + 2/15*f**2 + k.
2*(f - 4)*(f - 1)/15
Factor 0*k**2 + 0*k + 0 + 1/7*k**3.
k**3/7
Let b(o) be the second derivative of 0 - 1/2*o**4 + 3/2*o**3 + 9*o - 1/14*o**7 + 3/10*o**6 - 3/2*o**2 - 3/10*o**5. Find i, given that b(i) = 0.
-1, 1
Suppose 6*j = 7*j - 193. Let i = -961/5 + j. Factor i - 20*x**3 + 12*x**4 + 16*x**2 - 14/5*x**5 - 6*x.
-2*(x - 1)**4*(7*x - 2)/5
Let q(m) be the third derivative of -m**5/20 - 7*m**4/4 - 49*m**3/2 - 3*m**2. Find x such that q(x) = 0.
-7
Let b be (-7)/2*(8/28 + -2). Let g(l) = -3*l + 20. Let t be g(b). Factor 0*s - 1/4 + 1/4*s**t.
(s - 1)*(s + 1)/4
Find f, given that -8063 - 29*f**3 + 25*f**3 - 7040*f - 7425 + 344*f**2 = 0.
-2, 44
Suppose 0*x + 0 + 4/11*x**2 - 6/11*x**3 + 0*x**4 + 2/11*x**5 = 0. What is x?
-2, 0, 1
Let f(l) be the first derivative of -280*l**6/3 + 26076*l**5/5 + 9595*l**4 + 3408*l**3 - 1144*l**2 - 768*l + 383. Find t such that f(t) = 0.
-1, -2/5, -2/7, 1/4, 48
Let b(r) be the first derivative of -r**5/105 + 11*r**4/84 + 2*r**3/7 - 4*r**2 - 21. Let l(m) be the second derivative of b(m). Factor l(c).
-2*(c - 6)*(2*c + 1)/7
Let a(d) = -5*d**4 - 10*d**3 + 10*d**2 + 10*d. Let z(k) = 2*k**4 + 5*k**3 - 5*k**2 - 5*k. Let g(n) = -3*a(n) - 5*z(n). Determine c so that g(c) = 0.
-1, 0, 1
Let d = -35 + 27. Let x(g) = 2*g**2 + 15*g - 7. Let k be x(d). Find t, given that 1/4*t**2 + t + k = 0.
-2
Let o(x) be the second derivative of x**5/16 + 5*x**4/16 - 10*x**3/3 + 15*x**2/2 + x - 5. Find p such that o(p) = 0.
-6, 1, 2
Suppose -3*a - 43 = -6*a + 5*f, 4*f = 4. Let r be -2 + ((-1)/4)/(