*h**5 - 5*h**4 + 2*h**4.
-5*h**4*(h + 1)
Suppose 3 = -f + 3*z - 2, -7 = -4*f + 3*z. Let p be ((-74)/6)/(f/(-12)). What is k in p*k**2 - 8 - 42*k**2 + 35*k - 13*k = 0?
2/5, 4
Factor 338 - 6749 + 776*r - 4*r**2 - 10811 - 7065 - 13349.
-4*(r - 97)**2
Let c be (-4)/(2880/148) + 36/162. Let b(z) be the third derivative of 1/24*z**4 + c*z**5 + 0 + 0*z + 0*z**3 - z**2. Factor b(m).
m*(m + 1)
Let a(b) = 43*b - 47*b + 4 + b**2 + 3*b**2. Let f(o) = 4*o**2 - 5*o + 4. Let y(i) = -3*a(i) + 4*f(i). Find w such that y(w) = 0.
1
Let i(f) be the first derivative of -f**4/2 + 4*f**3 + f**2 - 12*f - 80. Solve i(b) = 0 for b.
-1, 1, 6
Let a(l) be the second derivative of 9/5*l**2 + 2*l + 7/10*l**3 + 1/100*l**5 + 0 + 2/15*l**4. Factor a(p).
(p + 2)*(p + 3)**2/5
Let j(g) be the second derivative of g**5/100 + g**4/20 - g**3/30 - 3*g**2/10 + 26*g + 2. Factor j(s).
(s - 1)*(s + 1)*(s + 3)/5
Let n = 152 + -4416/29. Let g = n + 77/174. Factor 0*d**3 + 1/3*d**2 - 1/6*d**4 + 0*d - g.
-(d - 1)**2*(d + 1)**2/6
Let p(x) be the first derivative of 0*x + 3/25*x**5 + 0*x**2 - 3/10*x**4 + 1/5*x**3 - 10. Factor p(n).
3*n**2*(n - 1)**2/5
Let k(d) = d**2 + d - 1. Let r(v) = 6*v**2 + 18*v + 13. Let s(n) = k(n) - r(n). Find y such that s(y) = 0.
-2, -7/5
Let v = -8 + 71. Let x be ((-4)/6)/((-14)/v). Let -x*f**2 + 5*f - 5*f - 3 - 7*f + f = 0. Calculate f.
-1
Factor 1/4*q**2 - 3*q + 9.
(q - 6)**2/4
Let u = 52411/2 + -26203. Factor 5/2*r**3 - 10*r**2 + 5/2*r**4 - u + 35/4*r - 5/4*r**5.
-5*(r - 1)**4*(r + 2)/4
Suppose 3*w + 5*o - 46 = 0, 16 - 6 = 5*w - 5*o. Suppose -5*k = -2*c + 7*c - 50, -c - 2*k = -w. Let -4*i**2 + 16*i - c + 2 - 5 = 0. Calculate i.
2
Let f(c) be the third derivative of 0*c - 14*c**2 - 1/8*c**4 + 0 + 7/180*c**5 + 1/9*c**3. Suppose f(u) = 0. What is u?
2/7, 1
Let i(p) = -p**3 + 5*p**2 + 437*p - 2959. Let n be i(7). Determine v so that -24/5*v**n - 12/5*v - 3/5*v**4 + 0 - 3*v**3 = 0.
-2, -1, 0
Let i(y) be the second derivative of -y**8/1512 + y**6/270 - y**4/108 + 13*y**2/2 + 6*y. Let d(j) be the first derivative of i(j). Factor d(m).
-2*m*(m - 1)**2*(m + 1)**2/9
Suppose 0*q + 14 = 2*q. Let m be (6/q)/((-9)/(-42)). Factor -d - 6*d**4 - 2 - 4*d**3 + 0*d + 5*d + 8*d**m.
2*(d - 1)**3*(d + 1)
Let u(d) be the third derivative of d**5/12 - 5*d**4/6 - 10*d**3 + 4*d**2 + 6*d. Factor u(r).
5*(r - 6)*(r + 2)
Let u(q) be the first derivative of -3*q**4/20 - 7*q**3/5 + 21*q**2/5 + 144*q/5 - 37. Determine f, given that u(f) = 0.
-8, -2, 3
Let z be (4/12)/((-2)/(-12)). Suppose -3*m = -3*t - 1 - 44, -m + 24 = z*t. What is y in 11*y**4 + 2*y**5 + m*y**3 - 3*y**4 + 4*y**4 = 0?
-3, 0
Let l(t) be the first derivative of t**4/8 + 12*t**3 + 1365*t**2/4 + 1225*t - 102. Let l(y) = 0. What is y?
-35, -2
Let -j**4 + 12*j - 31*j**2 + 3*j**2 + 20*j**3 - 3*j**4 = 0. Calculate j.
0, 1, 3
Let t(h) = 9*h**3 - 5*h**2 - 24*h - 9. Let u(m) = m**3 - m**2 + 1. Suppose 4*b = 3 - 11. Let z be (-1 + b + 2)/1. Let v(o) = z*t(o) - u(o). Factor v(y).
-2*(y - 2)*(y + 1)*(5*y + 2)
Let c(q) = 10*q**2 - 23*q - 93. Let l(a) = -2*a**2 + a - 1. Let y(h) = -c(h) - 3*l(h). Solve y(i) = 0 for i.
-3, 8
Let m = 889/98160 + -2/409. Let k(s) be the third derivative of -1/12*s**3 + 1/120*s**5 + 0*s - s**2 + 0 + m*s**6 - 1/48*s**4. Let k(h) = 0. What is h?
-1, 1
Suppose -3*f**2 - 1/2*f**3 - 3/2*f + 5 = 0. Calculate f.
-5, -2, 1
Determine n so that 89*n**2 - 47*n**2 - 33*n - 41*n**2 = 0.
0, 33
Suppose 2*a + 2*a = 20. Suppose -1 - 5*t + a*t + t**2 = 0. What is t?
-1, 1
Let h(q) be the first derivative of -q**6/540 + q**5/36 + 26*q**3/3 - 10. Let u(w) be the third derivative of h(w). Factor u(f).
-2*f*(f - 5)/3
Factor -10/7 + 12/7*m - 12/7*m**3 + 8/7*m**2 + 2/7*m**4.
2*(m - 5)*(m - 1)**2*(m + 1)/7
Suppose -5*o - 1 = -16. Let u = 36 - 28. Factor -6*k**4 + u*k + 16*k**3 + o*k**4 - 2*k**4 - 20*k**2 + k**4.
-4*k*(k - 2)*(k - 1)**2
Let q(v) = -v**3 + 2*v**2 + 10*v + 28. Let c be q(5). Factor 2/11 - 6/11*m - 2/11*m**c + 6/11*m**2.
-2*(m - 1)**3/11
Suppose 10 = n + n. Let k(z) = z**3 - 12*z**2 + 13*z - 22. Let s be k(11). Factor 0*f**2 + s*f - 3/2*f**4 + f**3 + 0 + 1/2*f**n.
f**3*(f - 2)*(f - 1)/2
Let s(c) be the first derivative of 2*c**6/3 - 18*c**4 - 128*c**3/3 - 30*c**2 - 258. Find v, given that s(v) = 0.
-3, -1, 0, 5
Determine i, given that -96*i**4 + 5*i**3 + 41*i**3 + 98*i**4 + 1050*i**2 + 50*i**3 - 2500*i = 0.
-25, 0, 2
Suppose -3*s - 4 = -15*l + 10*l, 2 = -s + 2*l. Let n(d) be the third derivative of 0*d**3 - 1/120*d**6 + 4*d**s + 1/20*d**5 + 0*d + 0 - 1/12*d**4. Factor n(i).
-i*(i - 2)*(i - 1)
Suppose 5*a = -h - 11, -3*a - 1 = h + h. Suppose 2*w = 2*i - 144, 4*i = -3*w + 4*w + 273. Factor 3 + 69*q**2 - 1 - h*q - i*q**2.
2*(q - 1)**2
Let t = 611/713 + 1/4991. Factor t*w**2 + 12/7 + 22/7*w.
2*(w + 3)*(3*w + 2)/7
Let s = 18327 - 18327. Let h = 112 - 557/5. Let -h*j**2 - 6/5*j + 3/5*j**4 + s + 6/5*j**3 = 0. Calculate j.
-2, -1, 0, 1
Let h be ((-2120)/7420)/((-2)/32). Factor -4/7*a**2 - h - 36/7*a.
-4*(a + 1)*(a + 8)/7
Let p(h) be the second derivative of h**10/10080 + h**9/5040 - h**8/1120 + 5*h**4/12 - h. Let w(i) be the third derivative of p(i). Factor w(f).
3*f**3*(f - 1)*(f + 2)
Let c = -43093 + 86211/2. Solve 10*v**2 + 5/2*v**3 + 5 + c*v = 0.
-2, -1
Solve 25*n**4 - 7 - 38*n - 3 + 2*n**5 - 28*n**3 + 25*n**4 - 52*n**2 - 52*n**4 = 0 for n.
-1, 5
What is s in 1032*s**3 + s**4 + 6*s**2 + s**4 - 1024*s**3 + 4*s**2 + 4*s = 0?
-2, -1, 0
Let h(v) be the first derivative of 1/2*v**4 + 3/20*v**5 + 1/2*v**3 + 0*v**2 - 6 + 10*v. Let z(u) be the first derivative of h(u). Factor z(j).
3*j*(j + 1)**2
Suppose -y = p - 3, y + 5 - 12 = 3*p. Factor -6*a**2 + 2*a - y*a - 3*a + 7*a**2.
a*(a - 5)
Let a(l) = -l**2 + l - 98. Let t(f) = -20. Let s(w) = -2*a(w) + 11*t(w). Factor s(u).
2*(u - 4)*(u + 3)
Let m(t) be the second derivative of 2*t**6/5 - 2*t**5/5 - 7*t**4/3 - 4*t**3/3 - 4*t - 17. Find h such that m(h) = 0.
-1, -1/3, 0, 2
Find b such that 213*b**2 - 200*b - 875*b**4 - 455*b**2 - 245*b**5 - 20 - 448*b**2 - 35*b**2 - 1175*b**3 = 0.
-1, -2/7
Let m(o) be the third derivative of o**11/443520 - o**10/100800 + o**9/80640 + o**5/12 - 30*o**2. Let l(q) be the third derivative of m(q). Factor l(j).
3*j**3*(j - 1)**2/4
Let m = 117653/7 + -16772. Factor -972/7*w**2 - m*w + 192/7*w**4 - 1200/7*w**3 - 3.
3*(w - 7)*(4*w + 1)**3/7
Determine d so that 3/4*d**3 + 9/2*d**2 + 27/4*d + 3 = 0.
-4, -1
Let s be -4*(1 + -5 + 3). Let g(q) be the first derivative of 7/2*q**4 + 2 - q**2 + 4/5*q**5 + 4*q**3 - s*q. Factor g(a).
2*(a + 1)**2*(a + 2)*(2*a - 1)
Let l(y) = 4*y**4 - 4*y**3 - 8*y**2 + 4. Let z(n) = -n**5 - n**4 + 1. Let r(k) = -l(k) + 4*z(k). Solve r(g) = 0 for g.
-2, -1, 0, 1
Let 5/3*h**3 - 25/3*h**2 - 5/3*h + 0 + 25/3*h**4 = 0. What is h?
-1, -1/5, 0, 1
Let k = 1/301 - -299/602. Solve -1/4*y - k + 1/4*y**2 = 0.
-1, 2
Suppose o - 3*b - 10 = 0, 0 = 18*o - 22*o + b + 18. Solve 0 + 4/3*u**o - 4/3*u**3 - 8/3*u**2 + 0*u = 0 for u.
-1, 0, 2
Let i = -10 - -14. Suppose -3*g + 11 - 5 = 0. Let t**3 + t**5 - 2*t**i + 3*t**4 - 2*t**5 - t**g = 0. Calculate t.
-1, 0, 1
Let r(b) be the third derivative of -b**6/24 + 43*b**5/6 - 415*b**4/6 + 820*b**3/3 - 3*b**2 - 29. Factor r(x).
-5*(x - 82)*(x - 2)**2
What is f in 5/4*f - 1/4*f**3 + 3/4*f**2 - 1/4*f**4 + 1/2 = 0?
-1, 2
Let b = 0 + -5. Let o = 0 - b. Factor 6 - 5*z**4 + 9*z**4 - 18*z**3 - 2*z**3 - 2*z + 6*z**o - 2 - 24*z**2.
2*(z - 2)*(z + 1)**3*(3*z - 1)
Factor 42*w**2 - 24*w + 27*w**3 - 21*w**3 + 2 - 26*w**3.
-2*(w - 1)**2*(10*w - 1)
Let h(t) be the third derivative of -t**7/126 + 3*t**6/40 - t**5/4 + 29*t**4/72 - t**3/3 + 39*t**2. Suppose h(l) = 0. Calculate l.
2/5, 1, 3
Factor 7/4 - 1/4*f**2 + 3/2*f.
-(f - 7)*(f + 1)/4
Let j(b) be the third derivative of b**6/160 - 7*b**5/40 + 7*b**4/4 - 8*b**3 - 3*b**2 + 40*b. Determine s, given that j(s) = 0.
2, 4, 8
Let l be (13/65)/((-1)/(-10)). Determine r so that -23*r**2 - 10 + r**2 + 25*r + l*r**2 + 5*r**3 = 0.
1, 2
Let z = 28 - 61. Let j(y) = 48*y**2 - 63*y + 48. Let x(p) = 0 - 1 - p + 5*p - 2 - 3*p**2. Let c(t) = z*x(t) - 2*j(t). Find r, given that c(r) = 0.
1
Let v be 24/(-9 - -1) + (-723)/(-1). Let p be (4/(-50))/((-18)/v). Find n, given that -p + 76/5*n - 16*n**2 - 5*n**3 = 0.
-4, 2/5
Let p(c) be the first derivative of c**3/12 - c**2/2 - 8*c + 110. What is m in p(m) = 