tive of -s**5/10 + 7*s**4/4 - 22*s**3/3 - 55*s**2/2 + 525*s/2 + 1092. Find n such that d(n) = 0.
-3, 5, 7
Let -4/7*u**4 + 32/7*u**3 - 200/7*u + 0 - 20/7*u**2 = 0. What is u?
-2, 0, 5
Let s(i) be the first derivative of 4*i**6/3 - 622*i**5/5 - 519*i**4 - 2416*i**3/3 - 566*i**2 - 162*i + 570. Find b such that s(b) = 0.
-1, -1/4, 81
Suppose 81 = 15*i + 12*i. Find k such that -91*k**2 - 8*k**i + 24*k**2 + 33*k**2 + 22*k**2 + 4*k**4 = 0.
-1, 0, 3
Let k(i) be the second derivative of i**6/6 - 37*i**5/2 + 365*i**4/12 - 1095*i. Let k(j) = 0. Calculate j.
0, 1, 73
Suppose -4*b + 67 + 13 = 0. Suppose 8*z = 13*z - b. Solve j**4 - 25*j**3 - 4*j**4 + j**4 - z*j**2 + 31*j**3 = 0.
0, 1, 2
Suppose -5*r - 171 = -4*j, 23*r - 21*r = -j + 33. Suppose u - 39 = -j. Find b such that 9/2*b + u + 1/2*b**2 = 0.
-9, 0
Let a(l) be the first derivative of 1/10*l**4 - 2/5*l**3 - 2/5*l - 137 + 3/5*l**2. Factor a(d).
2*(d - 1)**3/5
Let o be (-2)/12 - ((-20)/((-480)/(-924)) - -38). Factor -o*w**2 - 8 - 14/3*w.
-(w + 2)*(w + 12)/3
Let -6*g**3 + 0*g**3 + 7*g**3 + 15*g**2 - 39*g + 23*g - 38*g = 0. Calculate g.
-18, 0, 3
Let z be -1*(-1)/((-2)/(-22)). Let p(h) = 5 - 4 - 4*h + 14*h - z*h. Let l(v) = -v**2 - v + 2. Let w(i) = l(i) - 2*p(i). Factor w(g).
-g*(g - 1)
Let i be 3/(-3) + (-47 - -3). Let p = -44 - i. Factor -16*y + 28*y - 5 - 18*y**2 - 3*y**3 + 3*y**4 + 30 - p.
3*(y - 2)**2*(y + 1)*(y + 2)
Let u be 36*12/54 - 10 - (-84)/33. Factor -u - 2/11*g**2 + 8/11*g.
-2*(g - 3)*(g - 1)/11
Let m = 1331645/6 - 222829. Let x = -888 - m. Factor -13/6*a**2 - 6 - x*a**4 + 5/3*a**3 - 10*a.
-(a - 6)**2*(a + 1)**2/6
Factor 28 + 1/2*r**4 - 13/2*r**3 - 46*r + 27*r**2.
(r - 7)*(r - 2)**3/2
Let a be 91/21 - 44/33. Let w(i) be the second derivative of 0 - 5/48*i**4 + 0*i**2 + 1/12*i**3 + 1/80*i**5 + 1/24*i**6 + a*i - 1/56*i**7. Solve w(y) = 0.
-1, 0, 2/3, 1
Let 1/10*k**4 + 144/5*k**2 - 64 - 152/5*k - 47/10*k**3 = 0. What is k?
-1, 4, 40
Let b(p) = -2*p**2 + 4*p + 6. Let d be b(3). Suppose d = 3*r - 19 - 5. Factor r*u**2 - 6*u**2 - u - 5*u.
2*u*(u - 3)
Let s(c) be the second derivative of 115*c**4/12 + 20*c**3 + 5*c**2/2 - 196*c + 4. Factor s(j).
5*(j + 1)*(23*j + 1)
Solve -2*w**5 + 29*w**2 + 56*w**3 + 42*w - 52*w**2 - 69*w**2 - 4*w**4 + 0*w**5 = 0 for w.
-7, 0, 1, 3
Let r(k) be the first derivative of -44/5*k**2 - 484/5*k - 4/15*k**3 - 7. Factor r(u).
-4*(u + 11)**2/5
Let x(w) be the third derivative of -15*w**2 - 9/140*w**5 + 0*w + 0*w**6 + 6/7*w**3 + 1/490*w**7 + 0 + 1/14*w**4. Factor x(a).
3*(a - 2)**2*(a + 1)*(a + 3)/7
Let p = 110737/5 + -331931/15. Let 200 - 88*s**3 + 140/3*s - 4/3*s**5 - 416/3*s**2 - p*s**4 = 0. Calculate s.
-5, -3, -2, 1
Let k = -5037458/7 + 719650. Solve 16*u + 32/7*u**3 - k*u**2 - 48/7 - 4/7*u**4 = 0 for u.
1, 2, 3
Let k = -653659/140 + 4669. Let v(a) be the third derivative of -1/280*a**6 - 1/168*a**4 + 0*a**3 - 1/1470*a**7 + 0*a - k*a**5 + 0 + 4*a**2. Factor v(i).
-i*(i + 1)**3/7
Let b be 1/3*(17 - 17). Let n(r) be the third derivative of 8*r**2 - 1/60*r**6 + 0*r**5 + b + 0*r**3 - 2/315*r**7 + 0*r + 1/36*r**4. Factor n(x).
-2*x*(x + 1)**2*(2*x - 1)/3
Let l(k) be the first derivative of 2*k**3/3 + 7*k**2 - 36*k + 1228. Factor l(u).
2*(u - 2)*(u + 9)
Let v = 9165/12308 + 33/6154. Suppose 33/4*n + 0 + v*n**2 = 0. Calculate n.
-11, 0
Let y be (-4)/(-10) + (-638)/(-55). Suppose y*k - 27 = 9. Factor 3*f**3 + 0*f**2 - 4*f**2 - 11*f - 6*f**k + 4*f**3 - 6.
(f - 6)*(f + 1)**2
Suppose 218 - 208 = 5*w. Let r(z) be the third derivative of 1/42*z**7 + 2*z**5 + 0 + 20/3*z**4 + 0*z + 6*z**w + 40/3*z**3 + 1/3*z**6. Factor r(x).
5*(x + 2)**4
Let a(j) be the second derivative of -j**4/6 - 614*j**3/3 + 10879*j. Suppose a(f) = 0. Calculate f.
-614, 0
Suppose 6531 = -16*z + 20627. Let w = z - 881. Factor 0 + 0*q - 5/2*q**5 + w*q**2 - 5*q**4 - 5/2*q**3.
-5*q**3*(q + 1)**2/2
Let n = -227499 + 227507. Solve -8/9*o**2 + 290/9*o - n = 0 for o.
1/4, 36
Let y(h) = -46*h**2 + 301*h - 440. Let r(o) = -174*o**2 + 1203*o - 1758. Let t(g) = 4*r(g) - 15*y(g). Let t(s) = 0. Calculate s.
3/2, 48
Factor -1189/2*m - 1413721/4 - 1/4*m**2.
-(m + 1189)**2/4
Let v(x) be the second derivative of -x**4/3 - 232*x**3/3 + 1210*x**2 + 10587*x. Solve v(h) = 0 for h.
-121, 5
Suppose 803 = 5*c - 1032. Factor 12 - 114*p**2 - 118*p**2 - 121*p**2 + 22*p + c*p**2 + 64*p.
2*(p + 6)*(7*p + 1)
Let c(g) be the first derivative of g**5/35 - g**4/28 - 19*g**3/7 + 145*g**2/14 + 200*g/7 - 1992. Factor c(l).
(l - 5)**2*(l + 1)*(l + 8)/7
Let x(v) be the first derivative of v**3/3 + 67*v**2 - 411*v - 525. Determine a so that x(a) = 0.
-137, 3
Let u(f) be the third derivative of f**7/105 + 2*f**6/15 + 2*f**5/3 + 4*f**4/3 - 2248*f**2. Factor u(d).
2*d*(d + 2)**2*(d + 4)
Let j = -188943/56 - -3374. Let v(f) be the third derivative of 14*f**2 + 0*f**3 - j*f**4 + 1/280*f**6 + 0 + 0*f + 0*f**5. Suppose v(o) = 0. Calculate o.
-1, 0, 1
Suppose -5*o = 148*j - 145*j - 40, 4*o - 32 = -2*j. Let m be (-1)/2 - 25/(-10). Factor j*p + 2/5*p**m - 2/5.
2*(p - 1)*(p + 1)/5
Let u(p) be the third derivative of p**8/20160 - p**7/1260 - p**6/60 - 13*p**5/30 + 2*p**2 + 8. Let t(v) be the third derivative of u(v). Factor t(o).
(o - 6)*(o + 2)
Find j such that -7/9*j + 0 - 5/9*j**3 - 13/9*j**2 + 1/9*j**4 = 0.
-1, 0, 7
Let g(m) be the first derivative of -3*m**3 + 33*m**2/2 - 24*m + 1844. Let g(n) = 0. Calculate n.
1, 8/3
Let v(r) = -r**2 - 75*r - 4. Let b(s) = -75*s - 3. Suppose -2*p - 11*h = -14*h + 9, -5*h + 16 = -3*p. Let l(u) = p*v(u) - 4*b(u). Find o such that l(o) = 0.
0, 25
Let o**2 + 204*o - 3*o**2 - 2*o**2 - 86*o + 5*o**2 + 3481 = 0. What is o?
-59
Suppose 7 - 47 = -4*w. Suppose -21*y - 65 = -128. Suppose -10*b**2 - 5*b + 8*b**5 - y*b**5 + 20*b**4 - w*b**4 = 0. Calculate b.
-1, 0, 1
Suppose -8*q + 25 = -3*q. Suppose -2*c - 9 = -q*c. Solve -8*s**2 - 58*s**3 + 38*s**c + 0*s**2 = 0.
-2/5, 0
Factor 40/3*s + 2/3*s**2 - 14.
2*(s - 1)*(s + 21)/3
Let t = 527/4 - 2323/20. Let b = 16 - t. Solve 2/5*y**2 + 4/5*y + b = 0 for y.
-1
Factor -26/3*d + 5/3*d**2 + 5/3.
(d - 5)*(5*d - 1)/3
Let i(y) be the first derivative of -y**3/3 - 773*y**2 - 597529*y - 7739. Factor i(j).
-(j + 773)**2
Let v = -3311 - -3326. Let w(k) be the third derivative of 0*k + 0*k**3 + 1/12*k**6 - 1/12*k**5 + 0 + 1/42*k**7 + v*k**2 - 5/12*k**4. Factor w(j).
5*j*(j - 1)*(j + 1)*(j + 2)
Let f(a) = -6*a**3 + 15*a**2 + 22*a + 5. Let z be (6 + -4)/(2 + (-8)/5). Let k(j) = -7*j**3 + 15*j**2 + 21*j + 4. Let m(q) = z*f(q) - 4*k(q). Solve m(b) = 0.
-1, -1/2, 9
Let f be 1424/216 + 122/1647. Solve 2/9*v**2 + f*v - 62/9 = 0 for v.
-31, 1
Suppose 12 = -3*w + 21. Suppose 3*u + 4*o + 2 = 0, w*o + o = u - 10. Solve 6*m**u + 4 - 52*m + 87*m**2 + 40*m**2 + 36*m**2 = 0 for m.
2/13
Find j such that 322*j + 32*j**3 - 1028*j - 4 - 133*j**3 + 1424*j**2 - 613*j**3 = 0.
-2/357, 1
Let v(i) be the second derivative of -i**6/180 - 3*i**5/10 + 13*i**4/24 + 37*i**3/18 - 387*i. Solve v(w) = 0.
-37, -1, 0, 2
Let y(g) be the first derivative of -g**5/15 + 5*g**4/2 - 28*g**3/3 + 41*g**2/3 - 9*g - 584. Factor y(j).
-(j - 27)*(j - 1)**3/3
Let p(q) be the first derivative of -q**3/27 + 257*q**2/9 - 66049*q/9 - 2346. Factor p(r).
-(r - 257)**2/9
Let v = -96787/18 - -48398/9. Find y, given that 0 + 11/4*y**2 + v*y**3 - 1/4*y**4 - 3*y = 0.
-3, 0, 1, 4
Determine o so that -4/5*o**2 + 3668/5*o + 0 = 0.
0, 917
Let z(n) = -11*n - 432. Let t be z(-75). Let u = t + -4319/11. Factor -u + 1/11*v**3 + 0*v + 3/11*v**2.
(v - 1)*(v + 2)**2/11
Let g(d) = 18*d**3 + 181*d**2 + 962*d + 784. Let y(c) = -44*c**3 - 452*c**2 - 2404*c - 1960. Let u(j) = 12*g(j) + 5*y(j). What is n in u(n) = 0?
-14, -7, -1
Let p(g) = -g**3 + 486*g**2 + 15666*g - 33646. Let q(b) = 500*b**2 + 15665*b - 33645. Let d(w) = 5*p(w) - 6*q(w). Factor d(i).
-5*(i - 2)*(i + 58)**2
Factor -7*x**5 - 14*x**5 + 19*x**5 + 742504*x - 1076*x**4 - 181948*x**3 - 11275200*x**2 - 10292*x**3 + 22585496*x.
-2*x*(x - 2)*(x + 180)**3
Suppose -3*h + 2 = -4*l, 12*h - 1 = 11*h + l. Suppose 0 = -5*n - 2*w + 4, -4*n + 2*n + h*w = -10. Suppose -4/3*z**n - 2*z + 2/3*z**3 + 0 = 0. What is z?
-1, 0, 3
Let v(k) be the first derivative of 50*k - 150 + 2*k**3 - 1/10*k**4 - 15*k**2. Factor v(m).
-2*(m - 5)**3/5
Let f(b) be the first derivative of -b**4/2 + 988*b**3 - 732108*b**2 + 241107568*b - 1568. Facto