 given that 221/5*h**2 + 313/5*h**3 + 139/5*h**4 + 3/5*h**5 + 44/5*h + 0 = 0.
-44, -1, -1/3, 0
Let b(n) be the second derivative of 22/5*n**5 + 256*n**2 + 0 - 4/5*n**6 + 1/21*n**7 - 118*n - 64*n**3 - 8/3*n**4. Factor b(x).
2*(x - 4)**3*(x - 2)*(x + 2)
Let w be -16 - ((-27027)/18)/91. Solve -17 - 15/2*x + w*x**2 = 0.
-2, 17
Suppose 12 = -s + 4*h, -3*h + 16 = s - 0*h. Suppose 0*f = s*f - 20. Suppose j - 4*j**3 + 15*j**f - 19*j**5 + 8*j**4 - j = 0. Calculate j.
0, 1
Let f be (-24 - (-6513)/273)*(-28)/24. Solve 1/6*p**2 - 1/3 + f*p**4 + 1/2*p**3 - 1/2*p = 0 for p.
-2, -1, 1
Determine i, given that -4536*i**2 + 34992*i + 196*i**3 - 629856/7 = 0.
54/7
Let n(l) be the third derivative of -l**6/60 + 31*l**5/60 - 55*l**4/12 - 21*l**3/2 - l**2 + 302*l. Let n(v) = 0. Calculate v.
-1/2, 7, 9
Suppose 4*o - 4*h - 188 = 0, -5*o + 300 = -3*h + 67. Suppose o = 12*v - 50. Factor -1/3*k**3 - v*k - 11/3*k**2 + 12.
-(k - 1)*(k + 6)**2/3
Let w(g) be the third derivative of 1/600*g**6 - 3*g**2 + 1/24*g**4 + 2*g - 1/50*g**5 + 0 + 0*g**3. Determine c so that w(c) = 0.
0, 1, 5
Suppose 7512 + 2606 = u. Factor u*h - 2*h**2 - 10128*h - 28 + 4*h**2.
2*(h - 7)*(h + 2)
Let v be 33/6 + -2*11/22 - 4. Let s(u) be the second derivative of 7/12*u**3 + 12*u + 0 - 1/8*u**4 - v*u**2. Factor s(z).
-(z - 2)*(3*z - 1)/2
Let u(v) be the first derivative of v**4/10 + 8*v**3/5 - 27*v**2/5 + 28*v/5 + 294. Factor u(d).
2*(d - 1)**2*(d + 14)/5
Let s be 14 + 0 - (4 - -1)/(-5). Let h be -1 + s/20 + (-145)/(-100). Let 4/5 - 2/5*j**2 + h*j**3 - 2/5*j**4 - 6/5*j = 0. Calculate j.
-1, 1, 2
Let s(p) be the first derivative of -p**3/9 + 797*p**2/3 - 635209*p/3 - 1218. What is f in s(f) = 0?
797
Let x(r) be the second derivative of r**7/21 - r**6/5 - 9*r**5/5 + 43*r**4/3 - 37*r**3 + 45*r**2 + r + 310. Let x(o) = 0. What is o?
-5, 1, 3
Let o(d) be the first derivative of -2*d**5/5 - 43*d**4/2 - 82*d**3 - 121*d**2 - 80*d + 8044. Find t, given that o(t) = 0.
-40, -1
Let v be (-424)/530*(-21 - -1). Suppose 13*n + 9 = v*n. What is k in -4 + 15/2*k - 1/2*k**n - 3*k**2 = 0?
-8, 1
Let q be 1/(-12) - (-94307)/132. Let n = 715 - q. What is r in 9/11*r**2 + 2/11 - n*r - 5/11*r**3 + 1/11*r**4 = 0?
1, 2
Solve 1735 - 5*s**4 - 3695 + 39*s**3 + 2765*s + 76*s**3 - 915*s**2 = 0 for s.
1, 7, 8
Let k be (-17 + -4)*2560/(-57600). Determine b so that 0 - 64/15*b - k*b**2 = 0.
-32/7, 0
Let y(q) be the third derivative of 2*q**5/75 + 371*q**4/20 + 278*q**3/15 - 485*q**2. Let y(d) = 0. Calculate d.
-278, -1/4
Solve 2/3*z**2 + 52*z + 0 = 0 for z.
-78, 0
Let d(t) = -t + 1. Let y(b) = 26 - 2*b**2 - 4*b - 18*b - 2*b**2. Let l be 2/21 - (825/63 + -19). Let g(j) = l*d(j) - y(j). Factor g(w).
4*(w - 1)*(w + 5)
Let s(r) = 21*r**4 - 12*r**3 + 27*r**2 + 5*r - 11. Let n(d) = 2*d**4 - d**3 + d**2 - d - 1. Let c(o) = -44*n(o) + 4*s(o). Solve c(t) = 0.
-4, -1, 0, 4
Let l(t) = -50*t - 548. Let a be l(-11). Let o(p) be the first derivative of 0*p**a + 0*p**3 - p**4 + 2/5*p**5 + 1 + 0*p + 1/3*p**6. Solve o(c) = 0.
-2, 0, 1
Let i(g) be the second derivative of g**4/36 + 1232*g**3/9 + 758912*g**2/3 + 2*g + 817. Factor i(k).
(k + 1232)**2/3
Let i(k) be the first derivative of -k**4/16 - k**3/4 + 5*k**2 + 21*k - 3370. Determine j so that i(j) = 0.
-7, -2, 6
Suppose 5119 = -44*y + 20563. Let z be 45/(-120) - y/(-40). Factor 2744/5 + z*p**2 - 588/5*p - 1/5*p**3.
-(p - 14)**3/5
Let z(r) be the second derivative of 0*r**2 - 1/45*r**5 - 14*r - 7/3*r**3 + 1/9*r**4 + 1/540*r**6 + 0. Let d(s) be the second derivative of z(s). Factor d(m).
2*(m - 2)**2/3
Find w such that -2/19*w**4 + 0 + 320/19*w**2 - 328/19*w - 74/19*w**3 = 0.
-41, 0, 2
Let k = -1680 - -1674. Let v be (k/(-14))/(18/14). Determine m so that -v*m**2 + 4/3*m - 2*m**3 - 1/3 = 0.
-1, 1/3, 1/2
Let a be 113/231 - 232/3828. Let g(h) be the third derivative of 0 + 0*h - 1/15*h**7 + a*h**4 + 3/10*h**6 - 4/21*h**3 - 109/210*h**5 + 22*h**2. Factor g(s).
-2*(s - 1)**2*(7*s - 2)**2/7
Suppose -3*q - 322 = i, 7*q + 436 = 3*q + 2*i. Let v be (189/q)/((-14)/4). Factor -1/4*z + 1/2*z**2 - 1/4*z**5 + v*z**3 - 1/4 - 1/4*z**4.
-(z - 1)**2*(z + 1)**3/4
Let g(v) be the second derivative of -2/9*v**3 - 10 - 1/90*v**4 + 3*v + 11/15*v**2. Let g(c) = 0. What is c?
-11, 1
Suppose 6*a + 111 = 3*f, 3*f - 31 = -1086*a + 1087*a. Solve 18/7*m**3 + 3*m**2 - 6/7*m**f - 3/7*m**4 + 0 + 6/7*m = 0.
-1, -1/2, 0, 2
Let q be 16/24*(-14)/(-28). Let v(z) be the third derivative of -1/24*z**4 + 1/60*z**5 + 0*z + 0 - q*z**3 + 5*z**2. Factor v(r).
(r - 2)*(r + 1)
Suppose 5*q - 20*b = -15*b + 35, 4*q + b - 8 = 0. Suppose 2/11*l**5 - 4/11*l**q + 2/11*l + 6/11*l**4 + 6/11 - 12/11*l**2 = 0. What is l?
-3, -1, 1
Let g be -6 + (-6 - -9) + 13 + 28/(-42). Factor -g*r**2 + 2/3 + 11/3*r + 5*r**3.
(r - 1)**2*(15*r + 2)/3
Suppose 2/7*y**2 + 62 - 76/7*y = 0. Calculate y.
7, 31
Let m be 125/15*(-13 + -5 + 6). Let s be -9 - 1355/m - (-2)/8. Factor -n**2 + 0 + 63/5*n**4 + 2/5*n - s*n**3.
n*(3*n - 1)**2*(7*n + 2)/5
Solve -314*a**3 - 22 + 22 - 3*a + 11*a**2 + 318*a**3 = 0 for a.
-3, 0, 1/4
Let k(i) be the first derivative of 343*i**3/6 - 171*i**2 - 2*i - 1044. Determine d so that k(d) = 0.
-2/343, 2
Let m(z) be the first derivative of -z**4/6 - 70*z**3/9 - 129*z**2 - 918*z - 1972. Factor m(y).
-2*(y + 9)**2*(y + 17)/3
Let d be (-6 + -26*(-5)/30)*-3. Let z(m) be the second derivative of 36/17*m**2 - 16/17*m**3 - 1/170*m**d + 0 + m + 13/102*m**4. Factor z(h).
-2*(h - 6)**2*(h - 1)/17
Let z(r) be the third derivative of r**5/120 - 345*r**4/8 + 357075*r**3/4 - 1333*r**2. Suppose z(n) = 0. What is n?
1035
Let j be 128/48*6/4 - 2. Determine y so that -9*y**2 - 27*y**2 + 9*y**5 - 29*y**3 + j*y**3 + 6*y + 6*y**4 - 18*y = 0.
-1, -2/3, 0, 2
Let a = 712346 - 1424523/2. Solve a + 13*q + 1/2*q**2 = 0.
-13
Let a(d) be the second derivative of d**4/9 - 412*d**3/9 + 21218*d**2/3 + 5*d - 22. Factor a(t).
4*(t - 103)**2/3
Solve -165*b + 9075/2 + 3/2*b**2 = 0.
55
Let t(k) be the first derivative of -2/11*k**3 + 6/11*k**2 + 34 - 6/11*k. Factor t(b).
-6*(b - 1)**2/11
Let a be (742 - 771) + (-89)/(-3). Let a*j**3 + 4/3*j**2 + 48 - 26*j = 0. Calculate j.
-8, 3
Suppose 0 = 26*h - 132 + 28. Determine q, given that 8*q - 4*q + q + 3 - 5*q**2 + h + 3 = 0.
-1, 2
Factor -28*w**3 + 15*w**2 + 67*w**3 + 202*w + 3*w**4 + 83*w + 156*w**2 + 150.
3*(w + 1)*(w + 2)*(w + 5)**2
Let i(h) be the second derivative of h**6/60 - h**5/12 - 11*h**4/24 - 2*h**3/3 + 16*h**2 + 23*h. Let j(q) be the first derivative of i(q). Solve j(u) = 0 for u.
-1, -1/2, 4
Find c, given that -6*c**3 + 2/5*c**4 + 8/5*c + 72/5*c**2 - 96/5 = 0.
-1, 2, 12
Let o(l) be the second derivative of l**7/5460 + l**6/1170 + l**5/780 - 71*l**3/3 - 191*l. Let m(k) be the second derivative of o(k). Find r such that m(r) = 0.
-1, 0
Let r be (8/(-14))/(14/(-49)). Let p(o) = 5*o**2 + 3*o - 2. Let j be p(2). What is g in -3/2*g**5 - 21/2*g**4 - j*g**3 + 24*g + 24 - 12*g**r = 0?
-2, 1
Let b be ((-72)/(-20) - 3)*(-630)/(-1701). Factor 8/9*x + 10/9*x**2 + 0 + b*x**3.
2*x*(x + 1)*(x + 4)/9
Let k be 38/11 + 3 - (-58 - -63). Factor k*w**4 - 50/11*w - 12/11*w**3 - 2/11*w**5 - 80/11*w**2 + 0.
-2*w*(w - 5)**2*(w + 1)**2/11
Let h(g) be the third derivative of -5*g**5/12 - 5*g**4/6 + 5*g**3/6 + 97*g**2 - 2. Factor h(q).
-5*(q + 1)*(5*q - 1)
Let a(q) = 674*q - 4039. Let m be a(6). Let d(t) be the second derivative of -21*t - 1/10*t**m + 0 + 1/3*t**3 - 1/15*t**6 - 2*t**2 + 1/2*t**4. Factor d(o).
-2*(o - 1)**2*(o + 1)*(o + 2)
Let r(p) be the second derivative of -1/18*p**4 + 0 - 274*p - 28/3*p**2 + 29/9*p**3. Factor r(y).
-2*(y - 28)*(y - 1)/3
Suppose 3*a - f - 6 = 0, 24*a - f = 19*a + 6. Let -2/3*s**2 + a*s + 2/3 = 0. What is s?
-1, 1
Let k(r) be the second derivative of -1/40*r**6 + 0*r**4 - 1/168*r**7 + 4*r - 10 + 0*r**3 + 1/20*r**5 + 0*r**2. Factor k(b).
-b**3*(b - 1)*(b + 4)/4
Suppose f = -j + 3, 13*j - 14*j = -3*f + 13. Let m be 9/(-18) + (-6)/f + 4. Let 4/3*n + 1/3*n**m - 5/3 = 0. Calculate n.
-5, 1
Let y(x) be the third derivative of -x**5 - 1/60*x**6 - 25*x**4 + 0 + 0*x - 38*x**2 - 1000/3*x**3. What is b in y(b) = 0?
-10
Suppose -163 - 130 = -3*u - 4*m, -2*u + 5*m + 180 = 0. Factor -u*c - 97*c - 5*c**3 - 11 + 13 + 191*c - 8*c**2.
-(c + 1)**2*(5*c - 2)
Let g(f) = -f**5 - 7*f**4 - 23*f**3 + 13*f**2 + 21*f. Let n(j) = -j**4 - j**2 + j. L