3/3 + 10*h**2 - 10*h. Let y(r) = 0. What is r?
-1, 2
Let t be (-8)/40 + 31/5. Let k(u) be the third derivative of -1/300*u**5 + 0*u**4 - 1/600*u**t + 0*u**3 + 0 + 0*u - 9*u**2. Factor k(v).
-v**2*(v + 1)/5
Let m(v) be the first derivative of -v**9/4536 - v**8/2520 + v**7/1260 + v**6/540 + v**3/3 - 7. Let n(s) be the third derivative of m(s). Factor n(a).
-2*a**2*(a - 1)*(a + 1)**2/3
Let c(v) = -2*v**2 + v. Let n(w) = 2*w**3 + 128*w**2 + 2906*w + 21296. Let d(a) = 4*c(a) - 2*n(a). Find u, given that d(u) = 0.
-22
Determine d so that 81/7*d - 3/7*d**2 - 150/7 = 0.
2, 25
Let v(o) be the first derivative of 2*o**3/3 + 18*o**2 - 80*o + 94. Factor v(n).
2*(n - 2)*(n + 20)
Let u be (-1 - -3) + 2/2. Suppose 4*k = 5 + u. Factor 4*a + 6 - 4*a**3 - 2 + 0*a - 4*a**k.
-4*(a - 1)*(a + 1)**2
Solve 206/21*k**2 + 4/21*k**3 + 2600/21*k - 1352/21 = 0.
-26, 1/2
Factor 96/7 - 676/7*z**3 + 3848/7*z**2 + 176*z.
-4*(z - 6)*(13*z + 2)**2/7
Let z(q) be the first derivative of 48*q**5/5 - 6*q**4 - 15*q**3 + 12*q**2 - 3*q + 490. Factor z(k).
3*(k - 1)*(k + 1)*(4*k - 1)**2
Let a(l) be the second derivative of 20*l**2 - 5/6*l**4 + 10/3*l**3 + 0 - 1/4*l**5 - 6*l. Solve a(o) = 0.
-2, 2
Suppose 19*p = -7 + 64. Let w(g) be the second derivative of 7*g + 0*g**2 - 1/6*g**p + 1/12*g**4 + 0. Factor w(v).
v*(v - 1)
Solve 2*m**4 + 13*m**2 - 17*m**2 - m**3 - m**3 = 0.
-1, 0, 2
Let x(f) = -3*f - 14. Let o be x(-14). Factor 58*h**4 - 4*h**5 - 18*h**5 - 8*h**3 - 18*h**4 - o*h**5.
-2*h**3*(5*h - 2)**2
Let c(t) be the second derivative of t**6/6 - 3*t**5/4 - 5*t**4/4 + 35*t**3/6 + 15*t**2 + 23*t - 1. Factor c(a).
5*(a - 3)*(a - 2)*(a + 1)**2
Factor 6718464 + 2/3*n**3 + 432*n**2 + 93312*n.
2*(n + 216)**3/3
Solve 7598*o + 48 + 135*o**2 + 37*o**2 - 84*o**3 - 7374*o = 0 for o.
-2/3, -2/7, 3
Let l(m) be the third derivative of -m**5/15 - 13*m**4/6 - 8*m**3 + 32*m**2 - 7*m. Find x, given that l(x) = 0.
-12, -1
Let m be ((-1083)/38)/19*(-1)/9. Factor 0 - 1/6*x + 0*x**2 + m*x**3.
x*(x - 1)*(x + 1)/6
Let g(q) be the third derivative of 0 + 37*q**2 - 1/144*q**4 + 1/720*q**6 - 1/18*q**3 + 1/180*q**5 + 0*q. Find n, given that g(n) = 0.
-2, -1, 1
Let c be 1/21*238/68. Let r(a) be the second derivative of 0*a**3 + 1/12*a**6 - c*a**4 + 0*a**2 + 0 - 2*a - 1/5*a**5. Factor r(b).
b**2*(b - 2)*(5*b + 2)/2
Let l(j) be the second derivative of -15*j + 5/12*j**4 + 0*j**2 + 5/6*j**3 + 0. Factor l(i).
5*i*(i + 1)
Suppose -58 = 4*x + 50. Let d be (x/(-6) + -4)/2. Factor 1/2*a + 1/4*a**2 + d.
(a + 1)**2/4
Let m = 347/510 + -11/17. Let l(c) be the third derivative of 4/3*c**4 - 1/3*c**5 + m*c**6 - 5*c**2 + 0 + 0*c - 8/3*c**3. Factor l(x).
4*(x - 2)**2*(x - 1)
Factor 61*b - 14 + 86 + 11*b + 4*b**2 + 5*b**2 + 42*b.
3*(b + 12)*(3*b + 2)
Let a be 76/18 - 12/54. Factor -8*y - 3*y**2 + a + 5*y**2 + 1 + 1.
2*(y - 3)*(y - 1)
Let b be (160/36)/2 - (-23)/69. Let t(w) be the first derivative of 50/9*w**5 + 1 + 25/18*w**4 - 4/9*w + b*w**2 - 50/9*w**3. Let t(m) = 0. What is m?
-1, 1/5, 2/5
Let w be ((-8)/14)/((-246)/(-42) - 6). Let m(n) be the second derivative of 1/42*n**w + 0 - 1/7*n**3 + n + 0*n**2. Factor m(p).
2*p*(p - 3)/7
Let c(l) = 4*l**2 - l - 30. Let k(a) = 11*a**2 - 2*a - 88. Let o(w) = -8*c(w) + 3*k(w). Factor o(m).
(m - 4)*(m + 6)
Let w(m) = -6*m**3 + 74*m**2 + 832*m + 1808. Let n(i) = -2*i**3 + 25*i**2 + 278*i + 602. Let k(o) = -8*n(o) + 3*w(o). Factor k(r).
-2*(r - 19)*(r + 4)**2
Suppose 6 = 26*l - 24*l. Factor -8*w - 63*w**3 - 4 + 33*w**3 - 5*w**2 + 29*w**l.
-(w + 1)*(w + 2)**2
Let y(h) be the first derivative of h**3/6 - 51*h**2/4 - 26*h - 698. Factor y(u).
(u - 52)*(u + 1)/2
Let y = 2565 - 2562. Factor -4*d**2 - 8*d - 1/2*d**y + 0.
-d*(d + 4)**2/2
Let k(b) = -180*b + 3. Let c be k(0). Determine i so that -10/3*i**2 - 1/3 + 10/3*i**c + 1/3*i**5 + 5/3*i - 5/3*i**4 = 0.
1
Let q = 937 + -36541/39. Let d(c) be the third derivative of -1/156*c**4 + 1/390*c**5 + 0 - q*c**3 - 5*c**2 + 0*c. Factor d(x).
2*(x - 2)*(x + 1)/13
Let k be ((-20 - -20)/7)/(-2). Solve -16/5*t**3 - t**4 - 3/5*t**2 + 0 + k*t = 0 for t.
-3, -1/5, 0
Let y(z) be the second derivative of -z**5/90 + z**4/27 + 13*z**3/27 + 10*z**2/9 - z - 90. Suppose y(w) = 0. What is w?
-2, -1, 5
Let n be -12*(-72)/16*(-3)/(-18). Let l be (-48)/n*3/(-10). Factor -2/5 - 2/5*i**4 + 8/5*i**3 - 12/5*i**2 + l*i.
-2*(i - 1)**4/5
Let s be ((-16)/4 - -5)/1*3. Let g be s + 8/(-1) + 7. Let -10/7*t + 6/7*t**g + 4/7 = 0. Calculate t.
2/3, 1
Let j(c) = -6*c**4 + 8*c**3 - 2*c**2 + 2. Let k(w) = -5 + 13*w**4 + 3*w**2 - 16*w**3 + 887*w - 887*w. Let u(g) = -5*j(g) - 2*k(g). Factor u(t).
4*t**2*(t - 1)**2
Suppose -5*w - 5*d - 77 = -4*w, -4*w + 3*d = 308. Let r = w - -79. Solve 4/9*g + 0 + 8/9*g**3 - 2/9*g**4 - 10/9*g**r = 0.
0, 1, 2
Let h be ((-4 - -6) + -1)/(1/10) + -8. Let 0 - 5/2*u**4 - 23/2*u**h + 4*u + 21/2*u**3 - 1/2*u**5 = 0. What is u?
-8, 0, 1
Let r = 55309 - 55305. Factor 6/25*k + 2/25*k**3 + 2/25*k**r + 0 - 2/5*k**2.
2*k*(k - 1)**2*(k + 3)/25
Let w(a) = a**3 - a**2 + 2*a - 1. Let h(c) = 4*c**3 + 23*c**2 - 34*c - 433. Let q(d) = -h(d) + w(d). Let q(b) = 0. What is b?
-6, 4
Let v be -3*9/((-135)/10). Factor 186*y**v - 17 - 178*y**2 + 40*y + 67.
2*(2*y + 5)**2
Let b(v) = 4*v**3 - 1040*v**2 + 67596*v + 4. Let f(o) = 4*o**3 - 1040*o**2 + 67595*o + 5. Let t(g) = 5*b(g) - 4*f(g). Factor t(y).
4*y*(y - 130)**2
Let f(q) = -2*q**3 + 3*q**2 + q + 2. Let l(u) = -3*u**3 + 10*u**2 + 5*u + 4. Let r(n) = -2*f(n) + l(n). Factor r(p).
p*(p + 1)*(p + 3)
Let h(q) = 2*q**2 + 3*q. Let d(z) = 3*z**2 + 4*z. Let w(t) = -3*d(t) + 4*h(t). Suppose w(n) = 0. What is n?
0
Let r be 6/22*((-102)/(-9) + -10). Find x, given that -2/11*x**3 - 2/11*x - r*x**2 + 0 = 0.
-1, 0
Let i(t) be the third derivative of t**8/252 - 11*t**7/210 + t**6/6 - 37*t**5/180 + t**4/12 + 36*t**2 + 1. Determine w so that i(w) = 0.
0, 1/4, 1, 6
Factor -189 - 77*f + 4*f**2 - 209*f - 43 + 58*f.
4*(f - 58)*(f + 1)
Let u = -892 + 10705/12. Let f(x) be the third derivative of 5*x**2 + 0 + 1/5*x**5 - 1/3*x**4 + u*x**6 - 8/3*x**3 + 1/105*x**7 + 0*x. Factor f(r).
2*(r - 1)*(r + 2)**3
Factor -1/10*n**3 + 87/10*n - 21/5*n**2 - 22/5.
-(n - 1)**2*(n + 44)/10
Let s = 94 - 79. Solve 4*p**2 - 5*p - s + 29*p + 0*p**2 - 13 = 0 for p.
-7, 1
Let t(m) be the second derivative of -21*m**5/40 - 463*m**4/4 - 7689*m**3 - 6534*m**2 + 11*m - 9. Determine f, given that t(f) = 0.
-66, -2/7
Let y(s) be the third derivative of -s**8/168 + 2*s**7/35 + s**6/5 - 19*s**5/15 + 7*s**4/4 - 2*s**2 + 33. Suppose y(a) = 0. Calculate a.
-3, 0, 1, 7
Let w(s) be the first derivative of -4*s**3 - 9/2*s**2 + 6 + 0*s - 3/4*s**4. Find c such that w(c) = 0.
-3, -1, 0
What is q in -6/7*q**2 + 4/7*q + 0 + 2/7*q**3 = 0?
0, 1, 2
Let x(t) be the third derivative of -t**5/10 + 11*t**4/6 + 16*t**3/3 + 55*t**2. Determine g, given that x(g) = 0.
-2/3, 8
Let b = 313 - 311. Let l(y) be the second derivative of 1/15*y**6 + 0 + 4/21*y**7 - 1/6*y**4 - 9/20*y**5 + 1/6*y**3 + 0*y**b - y. Solve l(v) = 0 for v.
-1, -1/2, 0, 1/4, 1
Let a(g) be the third derivative of -g**5 - 14*g**4/3 + 8*g**3/3 - 77*g**2. Determine q so that a(q) = 0.
-2, 2/15
Let y(m) be the third derivative of m**5/120 + 5*m**4/12 + 17*m**3/4 - m**2 - 224*m. Factor y(p).
(p + 3)*(p + 17)/2
Let 205*t**2 - 569*t + 316*t**3 + 589*t + 455*t**4 + 179*t**3 + 145*t**5 = 0. What is t?
-1, -4/29, 0
Suppose 32*g = 29*g - 3, g = -l + 1. Suppose 0*i - 10*i**l + 0 + 5/4*i**5 - 15/2*i**4 + 15*i**3 = 0. Calculate i.
0, 2
Suppose -26*r = -32*r + 18. Let b(c) be the third derivative of 0*c + 1/60*c**5 + 0 + 2*c**2 - 1/24*c**4 - 1/210*c**7 + 1/120*c**6 + 0*c**r. Factor b(z).
-z*(z - 1)**2*(z + 1)
Let p(h) be the third derivative of 0 - 3/20*h**5 + 0*h**3 + 0*h + 1/8*h**4 - 1/70*h**7 + 3/40*h**6 - 18*h**2. Solve p(t) = 0.
0, 1
Let h(x) be the second derivative of -2/15*x**6 - 1/3*x**4 + 16*x**3 - 12*x - 6/5*x**5 - 32*x**2 + 0. Factor h(g).
-4*(g - 1)**2*(g + 4)**2
Let v be (8/(-6))/((-6)/72). Suppose -3*w - v = -s + 14, 0 = -4*w - 20. Factor -y**2 - s*y + 6 + 7*y**3 - y**2 + 11*y**2 - 4*y**3 - 3*y**4.
-3*(y - 1)**3*(y + 2)
Determine a so that -2*a**4 - 2704*a - 132*a**3 - a**4 + 3406*a**2 - 910*a**2 + 7*a**4 + 336*a**3 = 0.
-26, 0, 1
Let c = -190 - -195. Let q(h) be the second derivative of h - 1/10*h**2 + 1/100*h**c + 0 + 1/10*h**3 - 1/20*h*