- 2*m**2 - 92*m. Factor r(q).
2*(q + 1)*(7*q - 6)/3
Suppose -9*b + 97 = 70. Let a(j) be the third derivative of 10*j**2 + 0*j + 3/80*j**5 + 3/8*j**b - 5/16*j**4 + 0. Factor a(f).
3*(f - 3)*(3*f - 1)/4
Let m = 74 - 72. Factor 162*b**2 + 60*b - 317*b**2 - 24 + 161*b**m - 15*b**3.
-3*(b - 2)*(b + 2)*(5*b - 2)
Let m(b) be the first derivative of -3*b**5/10 + 45*b**4/4 - 225*b**3/2 - 1114. Factor m(h).
-3*h**2*(h - 15)**2/2
Let 801 + 1034 - 1595 - 16*g - g**2 - 36*g + 18*g = 0. Calculate g.
-40, 6
Let o(x) be the second derivative of 0 - 1/110*x**5 + 7/66*x**4 + 17/33*x**3 - 28*x + 9/11*x**2. Factor o(w).
-2*(w - 9)*(w + 1)**2/11
Let n(d) be the third derivative of 13/48*d**4 + 6*d + 1/8*d**5 + 0 - d**2 + 7/240*d**6 + 1/3*d**3 + 1/420*d**7. Factor n(r).
(r + 1)**3*(r + 4)/2
Let c be ((-36)/186)/(222/(-3441)). Factor -1/9*t**c - 5/9*t**2 + 0 + 2/3*t.
-t*(t - 1)*(t + 6)/9
Let f(s) be the first derivative of 2*s**2 + 21*s - 16. Let q be f(12). Factor -69*b**2 - 22*b**3 + q*b**2 + 2*b**3 + 5*b**4.
5*b**3*(b - 4)
Let m(d) be the third derivative of d**5/100 - 29*d**4/40 + 99*d**3/5 + d**2 + 350. Factor m(u).
3*(u - 18)*(u - 11)/5
Suppose 77*i - 40*i = 43*i - 18. Let r(p) be the second derivative of 0 - 22*p + 1/80*p**5 - 1/12*p**4 + 1/6*p**i + 0*p**2. Determine w, given that r(w) = 0.
0, 2
Let n(k) be the first derivative of -k**5/10 + 171*k**4/4 - 9747*k**3/2 - 443. Factor n(y).
-y**2*(y - 171)**2/2
Let l(d) = 78*d**2 - 1808*d - 11423. Let u(w) = -133*w**2 + 3013*w + 19038. Let b(v) = -12*l(v) - 7*u(v). Determine n so that b(n) = 0.
-6, 127
Let r(b) be the third derivative of -8*b**5/45 + 11*b**4/6 - 8*b**3/9 - 1382*b**2. Factor r(f).
-4*(f - 4)*(8*f - 1)/3
Solve -2/17*w**4 + 0*w - 32/17*w**2 + 0 - 20/17*w**3 = 0 for w.
-8, -2, 0
Let h(y) be the first derivative of 32*y + 6/5*y**5 + 81 - 54*y**2 + 130/3*y**3 + 1/3*y**6 - 31/2*y**4. Factor h(u).
2*(u - 2)*(u - 1)**3*(u + 8)
Let o be (60/(-18))/(16/(2880/(-750))). Determine c so that -o*c**3 - 12/5*c**2 + 6/5*c**4 + 6/5 + 2/5*c + 2/5*c**5 = 0.
-3, -1, 1
Let p(f) = f**2 - 9*f + 8. Let r be p(8). Let n be (-1)/3 - ((-28)/12 + r). Factor -4*q**4 + 5*q - 4 - q - 8*q**3 + 4*q**5 + 8*q**n + 6 - 6.
4*(q - 1)**3*(q + 1)**2
Let m(y) be the second derivative of 7*y - 2 + 7/6*y**6 + 5*y**3 - 35/12*y**4 - 5/4*y**5 - 5/42*y**7 + 0*y**2. Determine l, given that m(l) = 0.
-1, 0, 1, 6
Let c(d) be the third derivative of d**6/420 - d**5/42 - d**4/14 - 71*d**2. Factor c(u).
2*u*(u - 6)*(u + 1)/7
Determine t, given that -28/13 + 2/13*t**5 + 24/13*t**4 - 56/13*t**3 + 54/13*t + 4/13*t**2 = 0.
-14, -1, 1
Factor -57/8*s**2 - 75/4*s - 12 - 3/8*s**3.
-3*(s + 1)*(s + 2)*(s + 16)/8
Let s(b) = -b**2 - 13 + 3 + 2 + 7*b. Let j be s(5). Factor 4*y**j - 1 - 4 + 2 - y**2.
3*(y - 1)*(y + 1)
Let b(p) be the third derivative of -p**5/12 - 1705*p**4/24 - 5845*p**3/3 - 6970*p**2. Suppose b(o) = 0. Calculate o.
-334, -7
Let d = 8519 + -8514. Let r(i) be the second derivative of 0 + 5/6*i**3 + 0*i**4 + 0*i**2 - 1/4*i**d - 17*i. Factor r(z).
-5*z*(z - 1)*(z + 1)
Let w(a) be the third derivative of a**7/1365 - 19*a**6/780 + 23*a**5/78 - 75*a**4/52 - 8727*a**2. Let w(x) = 0. Calculate x.
0, 5, 9
Let i = 24 + -44. Let s = 9 - i. Factor -29*n**3 + s*n**3 - 5*n**5.
-5*n**5
Let x(d) be the second derivative of -d**4/4 + 13*d**3 - 507*d**2/2 + 2*d + 150. Factor x(a).
-3*(a - 13)**2
Let u(w) be the third derivative of w**5/210 + 159*w**4/28 - 478*w**3/21 + w**2 + 22*w + 5. Factor u(g).
2*(g - 1)*(g + 478)/7
What is t in -189/5*t**2 - 48/5*t**3 + 192/5 + 48/5*t - 3/5*t**4 = 0?
-8, -1, 1
Let u be 48/144 - 2/6. Solve -3*w**2 - 9 - 2167*w + 2155*w + u*w**2 = 0 for w.
-3, -1
Determine i, given that 354*i**4 + 386*i**4 + 2072*i**2 - 310*i**5 + 3018*i**3 + 392*i - 315*i**5 + 675*i**5 = 0.
-7, -2/5, 0
Suppose -p = 5*l - 22, 0*p - 8 = -2*p - l. Let i be 1/p*(-5 + 4 + 7). Suppose 2*s**3 - i - s**4 + 0*s**4 + 52*s**2 - 48*s**2 - 2*s = 0. Calculate s.
-1, 1, 3
Let v(g) be the third derivative of -16/1365*g**7 + 0*g**3 + 0*g - g**2 + 0*g**5 + 0*g**4 - 1/312*g**8 - 6 - 1/195*g**6. Determine b so that v(b) = 0.
-2, -2/7, 0
Let d = -26 - -30. Suppose -d*r + 3 = -5. What is w in -r*w + 4*w - 7*w - 2*w**4 - 3*w**3 + 9*w + w**5 + 4*w**2 = 0?
-1, 0, 2
Factor -63 + 2636819*t**2 - t**3 - 2636836*t**2 + 0*t**3 - 79*t.
-(t + 1)*(t + 7)*(t + 9)
Suppose -5*o = -15, 5*s - 96 + 14 = -4*o. Factor 19*k**3 - s*k**3 - 440*k**2 + 15585*k - 5905*k.
5*k*(k - 44)**2
Let m = 51949/99 - 16744/11. Let h = -997 - m. Suppose h*b**2 + 0 - 28/9*b = 0. What is b?
0, 7
Suppose -785*l + 2*i - 20 = -784*l, -160 = 4*i - 20*i. Factor l + 1/2*p**3 - 2*p**2 + 2/3*p + 5/6*p**4.
p*(p - 1)*(p + 2)*(5*p - 2)/6
Let o(q) be the third derivative of -1 + 0*q + 11/300*q**5 + 15*q**2 + 3/10*q**4 + 0*q**3. Find k such that o(k) = 0.
-36/11, 0
Suppose -7698 + 438*z**3 - 434*z**3 + 4000*z + 3448 - 3622 - 524*z**2 = 0. What is z?
4, 123
Let w = 86 + -83. Let p(o) = o + 67. Let a be p(0). Let 71 + 8*v**4 - 4*v**2 + a - 138 - 4*v**w = 0. Calculate v.
-1/2, 0, 1
Suppose 287 = 4*t - 153. What is n in t + 5*n**4 + 43 - 8*n**2 - 33 - 50*n - 67*n**2 = 0?
-3, -2, 1, 4
Let p(z) = -30*z**2. Let f(y) = 364*y**2 - 13584*y + 11532816. Let m(q) = -f(q) - 12*p(q). Find h, given that m(h) = 0.
1698
Let m be (-2002)/(-132) + 8/((-24)/45). What is t in 2/3*t + m*t**2 + 2/3 = 0?
-2
Let l(n) = -2*n**4 + n + 1. Let p(f) = -2*f**5 - 84*f**4 - 1092*f**3 - 8036*f**2 - 29493*f - 43213. Let j(r) = 5*l(r) - p(r). Factor j(x).
2*(x + 7)**4*(x + 9)
Let t = 3500 - 3500. Let z(h) be the third derivative of -9*h**2 - 32/3*h**3 + 4/3*h**4 - 1/15*h**5 + t + 0*h. Solve z(b) = 0 for b.
4
Let 3996 - 11982*s + 27/2*s**3 + 8973*s**2 = 0. Calculate s.
-666, 2/3
Let h(p) be the first derivative of 3*p**5/5 + 51*p**4 + 133*p**3 + 99*p**2 - 862. Factor h(u).
3*u*(u + 1)**2*(u + 66)
Let v(h) be the first derivative of 2*h**3/3 + 3*h**2 - 5*h - 20. Let o(q) = -2*q**2 - 8*q + 6. Let t(p) = 3*o(p) + 4*v(p). Suppose t(c) = 0. What is c?
-1, 1
Let m(a) = -31*a**3 + 449*a**2 - 2984*a - 3800. Let b(w) = 6*w**3 - 90*w**2 + 600*w + 760. Let v(u) = -21*b(u) - 4*m(u). Factor v(i).
-2*(i - 38)*(i - 10)*(i + 1)
Let c be (-36)/45 - (-147)/15. Suppose 109*p - c = 106*p. Factor 3/7*s + 0 + 3/7*s**2 - 3/7*s**4 - 3/7*s**p.
-3*s*(s - 1)*(s + 1)**2/7
Let t(k) be the second derivative of -k**4/24 - 49*k**3/12 - 47*k**2/2 - 3914*k. Factor t(x).
-(x + 2)*(x + 47)/2
Let l be (-4)/(-8) + -3 + (56640/(-36))/(-16). Factor -49/6*n**2 + l*n + 625/6 + 1/6*n**3.
(n - 25)**2*(n + 1)/6
Let h(v) be the second derivative of -3*v**7/7 - 7*v**6/5 + 191*v**5/10 - 91*v**4/6 - 98*v**3 + 130*v + 4. Let h(s) = 0. What is s?
-6, -1, 0, 7/3
Let t(v) be the first derivative of -v**8/7560 + v**7/756 - v**6/405 + 72*v**3 - 78. Let o(f) be the third derivative of t(f). Factor o(a).
-2*a**2*(a - 4)*(a - 1)/9
Let d(a) be the first derivative of a**6/75 - 3*a**5/25 - 7*a**4/30 - 234*a - 158. Let s(t) be the first derivative of d(t). Find h, given that s(h) = 0.
-1, 0, 7
Let n(m) be the second derivative of -1/120*m**6 + 1/24*m**4 + 1/80*m**5 + 0*m**2 + 4 - 9*m + 0*m**3. Solve n(w) = 0 for w.
-1, 0, 2
Let w(u) = u**2 + 10*u + 23. Let i be w(-7). Factor -67*j + 20*j**4 - 220*j**i - 69*j + 181*j + 155*j**3.
5*j*(j - 1)*(j + 9)*(4*j - 1)
Let i(p) be the first derivative of p**4/14 + 32*p**3/21 - 235*p**2/7 - 500*p/7 - 13368. Factor i(x).
2*(x - 10)*(x + 1)*(x + 25)/7
Let z be (-2)/(-10)*26170/2617. Factor -2/5*o**z - 2/5*o**5 - 6/5*o**4 + 0 + 0*o - 6/5*o**3.
-2*o**2*(o + 1)**3/5
Let v(r) be the second derivative of 0*r**2 + 0*r**4 + 7 + 6*r**3 - 1/5*r**5 + 3*r. What is p in v(p) = 0?
-3, 0, 3
Let n(j) be the third derivative of 120*j**3 - 80*j**4 - 5/84*j**8 - 3/2*j**7 - 2 + 36*j**2 - 14*j**6 + 0*j - 170/3*j**5. Let n(m) = 0. Calculate m.
-6, -2, 1/4
Let y(h) be the third derivative of 4/21*h**3 + 128*h**2 + 1/42*h**5 + 2/21*h**4 + 1/420*h**6 + 0 + 0*h. Factor y(f).
2*(f + 1)*(f + 2)**2/7
Suppose -20*z = -25*z + 20. Suppose z = -6*w + 8*w. Let -5*a**2 + a**w + 24*a**2 + 40*a**2 + 16 - 56*a + 4*a**4 - 26*a**3 = 0. What is a?
1/2, 2
Let i(o) be the second derivative of -1/4*o**4 + 0*o**2 - 3/80*o**5 + 183*o + 5/8*o**3 + 0. Suppose i(y) = 0. What is y?
-5, 0, 1
Let n = 65 + -75. Let g be (128/(-264))/(n/15). Su