 163*k**2.
(4*k - 59)**2
Let b be (28/(-10))/(-57*(-47)/(-8930)). Factor -28/3*v**3 - 4/3*v**4 + b*v + 0 + 4/3*v**2.
-4*v*(v - 1)*(v + 1)*(v + 7)/3
Let b be -41 - (-35 - (65 + -56)). Determine r so that 1/4*r**b + 3*r + 7/4*r**2 + 0 = 0.
-4, -3, 0
Let g(z) = -6*z**2 + 104*z - 1628. Let y(a) = 17*a**2 - 208*a + 3256. Let q(r) = -5*g(r) - 2*y(r). Factor q(i).
-4*(i - 11)*(i + 37)
Suppose -2*j = 2*x + 1122, -9*j + 2785 = -5*x - 10*j. Let w = x - -559. Factor -64/3*t**2 - 128/3 + 64*t + 8*t**4 - 4/3*t**5 - 32/3*t**w.
-4*(t - 2)**4*(t + 2)/3
Let h be -2*(-22368)/(-30) + (-3)/5. Let s = -1491 - h. Find p such that 4/5*p + s*p**4 - 4/5*p**2 - 4/5*p**3 + 0 = 0.
-1, 0, 1
Let j(p) be the second derivative of -p**6/1620 - p**5/540 + 98*p**3/3 + 86*p - 2. Let l(i) be the second derivative of j(i). Solve l(g) = 0 for g.
-1, 0
Let f(u) be the first derivative of -4/3*u**3 - 336 - 232*u**2 - 13456*u. Factor f(y).
-4*(y + 58)**2
Let r(j) = 6436*j. Let z be r(0). Find h, given that 3/4*h**3 - 5/4*h**2 + 1/4*h**4 + 1/2*h + z - 1/4*h**5 = 0.
-2, 0, 1
Let v(s) be the third derivative of -2/35*s**5 + 1/735*s**7 + 0 + 0*s**6 + 0*s**3 + 0*s - 17*s**2 - 4/21*s**4. Find w, given that v(w) = 0.
-2, 0, 4
Let b(k) = 10*k**5 + 29*k**4 - 3*k**3 - 53*k**2 - 40*k + 9. Let v(y) = -y**5 - y**4 - y**2 - 1. Let f(q) = 2*b(q) + 18*v(q). Suppose f(d) = 0. What is d?
-20, -1, 0, 2
Suppose 16*h = -13977 + 14025. Let v(s) be the third derivative of 1/48*s**4 + 1/48*s**5 + 1/840*s**7 + 36*s**2 + 0*s**h + 0*s + 1/120*s**6 + 0. Factor v(a).
a*(a + 1)**2*(a + 2)/4
Suppose z + 5*x = -16, 0 = -3*z + 28*x - 29*x + 8. Suppose 288 + 384*f - 137*f**3 + 34*f**z - 6*f**2 - 48*f**2 + 2*f**4 - 3*f**5 + 26*f**3 = 0. Calculate f.
-1, 4, 6
Let h(z) be the first derivative of 0*z + 0*z**2 + 4/15*z**3 + 58. Factor h(t).
4*t**2/5
Let s(v) = v**3 - 75*v**2 + 74*v. Let b be s(74). Let n(m) be the first derivative of -4/15*m**2 - 5 + 2/45*m**3 + b*m. Factor n(x).
2*x*(x - 4)/15
Factor -1/4*c**2 - 150*c + 0.
-c*(c + 600)/4
Let y = 220369/24 - 9182. Let l(d) be the third derivative of 0*d - 1/15*d**5 + 0 + 2/3*d**3 - 1/120*d**6 + 11*d**2 + y*d**4. Find q such that l(q) = 0.
-4, -1, 1
Let t = 179123 + -716489/4. Factor t*v**3 + 3/8 - 3/4*v + 0*v**2 - 3/8*v**4.
-3*(v - 1)**3*(v + 1)/8
Let r(n) = -2*n**2 + 11*n + 24. Let k be r(7). Let z = -404 + 628. Factor 5*g**3 - 224*g - 5*g**2 + z*g + 0*g**k.
5*g**2*(g - 1)
Let t(z) be the second derivative of -z**4/42 + 242*z**3/21 + 984*z**2/7 - 36*z - 1. What is o in t(o) = 0?
-4, 246
Let n(w) be the third derivative of 5*w**2 - 5/3*w**3 + w**5 - 6*w - 2/21*w**7 + 25/24*w**4 + 1/24*w**6 + 0. Suppose n(z) = 0. What is z?
-1, 1/4, 2
Let y be ((-10)/14)/(36/(-252)). Factor 156*w + 108*w**2 - 2*w**y + 200*w**4 - 212*w**4 + 6*w.
-2*w*(w - 3)*(w + 3)**3
Determine l, given that -2883/5 - 372/5*l - 12/5*l**2 = 0.
-31/2
Let d be (1/((-28)/(-2)))/((-228)/(-912)). Let 2/7*v + 0 + d*v**4 + 6/7*v**2 + 6/7*v**3 = 0. Calculate v.
-1, 0
Let r be 17/(-68)*-2 - (-54310)/28. Let d = r - 1931. Factor -256/7 - 4/7*x**2 + d*x.
-4*(x - 8)**2/7
Let x(k) be the third derivative of k**7/2100 + k**6/400 + k**5/200 + k**4/240 + 2141*k**2. Determine w so that x(w) = 0.
-1, 0
Let v(m) be the first derivative of -2/15*m**3 - 8/5*m - 4/5*m**2 - 26. Find h such that v(h) = 0.
-2
Let g(x) be the first derivative of 3/20*x**5 - 27/16*x**4 - 5/4*x**3 + 67 + 9*x + 1/8*x**6 + 6*x**2. Solve g(h) = 0 for h.
-3, -1, 2
Let o be 4/(-498)*-9*9/702. Let d = o - -21577/3237. Factor -4/3*i**5 - 40/3*i**3 + 4/3 + 20/3*i**4 + 40/3*i**2 - d*i.
-4*(i - 1)**5/3
Let o(d) be the second derivative of -2*d**4/3 + 50*d**3 + 76*d**2 - 701*d. Factor o(p).
-4*(p - 38)*(2*p + 1)
Find s such that 2*s**5 + 10963*s**3 + 2483 + 7296*s - 1465*s**2 + 3*s**5 + 85*s**4 - 11358*s**3 + 954*s - 11483 = 0.
-20, -5, 2, 3
Suppose 3*f - 6*f - 147 = -2*b, 0 = -2*f - 6. Suppose -66 - b = -27*m. Suppose -1/4*s**m - 9/4*s**4 - 15/2*s**3 - 23/2*s**2 - 9/4 - 33/4*s = 0. What is s?
-3, -1
Let u(j) be the first derivative of j**6/18 + j**5 - 17*j**4/6 + 2*j**3/9 + 11*j**2/2 - 17*j/3 - 1771. Factor u(c).
(c - 1)**3*(c + 1)*(c + 17)/3
Let h(w) be the third derivative of -1/735*w**7 + 0*w + 0*w**3 - 125*w**2 + 1/210*w**5 - 1/84*w**4 + 0 + 1/420*w**6. Factor h(n).
-2*n*(n - 1)**2*(n + 1)/7
Factor -73 + 71/2*v + 1/2*v**2.
(v - 2)*(v + 73)/2
Let y(x) be the second derivative of x**7/126 + 2*x**6/9 + 89*x**5/60 + 35*x**4/18 - 2*x - 1222. Solve y(n) = 0 for n.
-14, -5, -1, 0
Let l(o) be the first derivative of o**3/8 + 291*o**2/16 - 297*o/4 + 353. Factor l(c).
3*(c - 2)*(c + 99)/8
Let n be 13336/(-18) - 24/216. Let i = n - -743. Determine y so that 6/13*y**i - 8/13*y + 2/13 = 0.
1/3, 1
Let p(q) = 2*q + 1 + 0 - 9*q + 6*q. Let r(b) = b**2 + 9*b - 10. Let s = 71 + -101. Let n(o) = s*p(o) - 5*r(o). Factor n(z).
-5*(z - 1)*(z + 4)
Let p(n) be the first derivative of n**5/10 - 117*n**4/8 + 1739*n**3/3 - 783*n**2 - 3364*n - 1882. Find k, given that p(k) = 0.
-1, 2, 58
Let x(i) be the second derivative of i**4/36 - 293*i**3/9 + 85849*i**2/6 - 78*i - 3. Determine h, given that x(h) = 0.
293
Let y(u) = -u**2 - 13*u - 25. Let t be y(-10). Factor f - f - 2*f + t*f**3 + f**2 + 0*f - 2*f**3.
f*(f + 1)*(3*f - 2)
Let 13324*y**3 - 416752 - 164225*y + 1686*y**4 - 56476*y**2 - 1210*y**4 + 4*y**5 - 206655*y = 0. Calculate y.
-61, -2, 7
Let w(q) be the first derivative of q**6/240 + q**5/60 - 7*q**4/48 + q**3/3 - 43*q**2 + 26. Let f(r) be the second derivative of w(r). Factor f(k).
(k - 1)**2*(k + 4)/2
Find r such that -94*r - 36714 - 6*r - 4*r**2 + 36138 = 0.
-16, -9
Let o(s) = -s**2 - 5*s - 2. Let y be o(-2). Let p be 0/(y + -1)*5/10. Find j, given that 4/9*j - 2/9*j**2 + p = 0.
0, 2
Let u(n) be the first derivative of n**6/9 + 2*n**5/3 + n**4 - 2417. Solve u(w) = 0 for w.
-3, -2, 0
Find f such that 120*f**3 - 12*f**5 - 10*f**2 + 21*f + 19*f - 164*f**2 + 30*f**2 - 16*f**4 + 12*f = 0.
-13/3, 0, 1
Let w(f) be the third derivative of 2*f**2 + 4/9*f**4 + 1/630*f**7 + 1/45*f**6 + 8/9*f**3 + 2/15*f**5 - 36 + 0*f. Factor w(p).
(p + 2)**4/3
Let u be 7*5 + (-12)/4. Let l(o) = -14*o - 110. Let c be l(-10). Factor -u*b - c + 25*b - 5*b**2 + 32*b.
-5*(b - 3)*(b - 2)
Let l be -12*((-6)/(-15) + (-246)/(-60)). Let m be (-62)/(-204) - -3*(-3)/l. Factor -24/17*r - m*r**2 - 18/17.
-2*(2*r + 3)**2/17
Let n(y) be the second derivative of 2*y + 1/2*y**3 - 1/32*y**4 + 5*y**2 + 21 - 1/160*y**5. Factor n(m).
-(m - 5)*(m + 4)**2/8
Determine v so that -2/9*v**3 + 332/9*v**2 + 1960 + 4942/9*v = 0.
-7, 180
Let l = -160 + 162. Factor -p**5 - 18 + 2*p**3 - 9 - p + 2*p**2 + 25 + 2*p**l - 2*p**4.
-(p - 1)**2*(p + 1)**2*(p + 2)
Let p(y) = 13*y**3 - 19*y**2 - 50*y - 4. Let i be (-16)/(-12) + 1/(-3). Let j(n) = 2*n**3 - n**2 - 1. Let u(w) = i*p(w) - 4*j(w). Factor u(g).
5*g*(g - 5)*(g + 2)
Let s(c) be the first derivative of 4*c**6/15 + 18*c**5/25 + 3*c**4/10 - 2*c**3/3 - 3*c**2/5 + 1667. Factor s(d).
2*d*(d + 1)**3*(4*d - 3)/5
Suppose 5*t = -5*m + 1236 - 291, 2*m = -10. Suppose -64*x - 34*x**5 + 44*x**4 - 96 - 82 - 14*x**5 - 36*x**2 + 136*x**3 + t = 0. What is x?
-1, 1/4, 2/3, 2
Let o(n) be the second derivative of 0*n**3 - 3/40*n**5 + 0*n**4 + 11/56*n**7 + 73*n + 0*n**2 + 0 + 9/40*n**6. Solve o(d) = 0 for d.
-1, 0, 2/11
Let -14736*q + 43731*q - 14*q**3 - 116*q**2 + 2*q**3 - 14730*q - 14553*q - 144 = 0. What is q?
-6, -3, -2/3
Let w = -1275668 - -1275670. Find d such that -13/3*d - 14/3 + 1/3*d**w = 0.
-1, 14
Let s = 134 + -130. Solve 150*u + 245*u**3 + 780*u**2 + 20*u**s - 43*u + 73*u = 0 for u.
-6, -1/4, 0
Suppose -z - 3*c = -2557 + 2542, -5 = 4*z - c. Factor z*o - 28/3*o**3 + 0 - 196/3*o**2 - 1/3*o**4.
-o**2*(o + 14)**2/3
Let o = -193527/2 - -96768. Factor -o*d**2 + 1/2*d**3 + 15/2*d + 25/2.
(d - 5)**2*(d + 1)/2
Let p(r) = -21*r**2 - 170*r - 2. Let m(o) = 43*o**2 + 339*o + 1. Let n(w) = -3*m(w) - 5*p(w). Factor n(h).
-(h + 7)*(24*h - 1)
Let -521*x + 20*x**3 - 109*x - 23*x**2 + 216*x**2 - 5*x**4 + 2*x**2 = 0. Calculate x.
-6, 0, 3, 7
Let g(o) be the third derivative of -o**5/135 - 622*o**4/27 - 773768*o**3/27 + 61*o**2 + 8. Solve g(w) = 0 for w.
-622
Suppose -4*u - 32 = -n, 7*u = -4*n + 5*u + 164. Let h be (n/(-160))/((-1)/(-12)) - -3. Factor -6/5*k**3 + 0 + 2/5*k**5 + h*k**4 + 0*k + 4/5*k**2.
2*k**2*(k -