 be 2/(3/18*4). Suppose -2*c + 435 = 3*i - 298, 0 = -5*i + 3*c + 1190. Suppose 141*q + i*q**2 + 21*q**x - 19*q**2 - 90*q**2 + 30 = 0. Calculate q.
-5, -1, -2/7
Let l(f) be the second derivative of -f**8/1344 - f**7/224 + f**5/24 - 83*f**3/6 - 46*f. Let b(x) be the second derivative of l(x). Factor b(v).
-5*v*(v - 1)*(v + 2)**2/4
Let g = -204312/23 + 408739/46. Factor -g*j + 1 + j**2.
(j - 2)*(2*j - 1)/2
Let x(l) be the third derivative of -1 + 14/5*l**5 + 115/8*l**4 - 41*l**2 + 29*l**3 + 0*l - 1/40*l**6. What is k in x(k) = 0?
-1, 58
Let w(j) be the second derivative of -2*j - 1/110*j**5 - 38 - 3/22*j**4 - 5/11*j**3 - 7/11*j**2. Let w(u) = 0. Calculate u.
-7, -1
Let k(f) = 3*f**2 - 45*f - 202. Let y(w) = -w**2 + 23*w + 102. Let a(v) = 3*k(v) + 5*y(v). Factor a(t).
4*(t - 8)*(t + 3)
Let t be (-5968384)/(-896) + 12*(32/4)/24. What is n in -2/7*n**4 + 144/7*n**3 - 209952/7 + t*n - 3888/7*n**2 = 0?
18
Let j = 22 - 20. Suppose -2*i**2 - 5*i**2 - 8*i**2 + 11*i**j = 0. Calculate i.
0
Let d(f) = -15*f**2 - 80*f - 10. Let t(v) = v. Let l(x) = -d(x) + 20*t(x). Let b(c) = -7*c**2 - 50*c - 4. Let z(p) = -5*b(p) - 2*l(p). Factor z(n).
5*n*(n + 10)
Factor -5*d**2 + 34*d**2 - 14*d**3 + 14*d + 2*d**5 + d**2 - 2*d + 24*d - 6*d**4.
2*d*(d - 3)**2*(d + 1)*(d + 2)
Let j = -21631 - -151435/7. Let v(d) be the first derivative of 8/7*d**2 + 2/21*d**3 - j*d - 20. Factor v(y).
2*(y - 1)*(y + 9)/7
Let l(x) be the third derivative of -x**6/24 + 23*x**5/6 + 435*x**4/8 - 255*x**3 - 378*x**2 + 2. Factor l(q).
-5*(q - 51)*(q - 1)*(q + 6)
Let v(s) be the first derivative of s**6/8 - s**5/2 + 7*s**4/16 + s**3/3 - s**2/2 - 8717. Let v(h) = 0. Calculate h.
-2/3, 0, 1, 2
Factor -386*o + 129 + 1149/4*o**2 + 9/4*o**3.
(o + 129)*(3*o - 2)**2/4
Determine b so that -104*b + 116/3*b**3 + 168 - 298/3*b**2 - 10/3*b**4 = 0.
-7/5, 1, 6
Suppose -2*c - 25 = -93. Let d = -29 + c. Factor -32 + 32 - g**5 - 2*g**3 + 3*g**d.
2*g**3*(g - 1)*(g + 1)
Let h(k) = k**4 - k**3 - k - 6. Let u(m) = -6*m**4 - 15*m**3 - 87*m**2 + 113*m + 30. Let a(g) = 15*h(g) + 3*u(g). Let a(x) = 0. Calculate x.
-12, -9, 0, 1
Let b be (-132)/(-9) - (-3)/9. Solve b + c - 30*c**2 - 24*c**3 + 31 - 19 + 3*c**4 + 23*c = 0 for c.
-1, 1, 9
Let z(h) be the second derivative of 8/21*h**3 + 1/70*h**5 + 0 - 9*h + 5/42*h**4 + 4/7*h**2. Factor z(s).
2*(s + 1)*(s + 2)**2/7
Let j(w) be the third derivative of w**6/300 + 8*w**5/75 + 59*w**4/60 + 44*w**3/15 + w**2 - 322*w. Factor j(n).
2*(n + 1)*(n + 4)*(n + 11)/5
Factor -598 - 5*s**2 - 4*s**2 - 2*s**2 + 15*s**2 - 6*s**2 + 72*s.
-2*(s - 23)*(s - 13)
Suppose 81 = 5*i + 101. Let t be (i/8)/(3/(-36)). Suppose 6*f**2 + 4 - t*f**2 - 2*f**3 + 0*f**2 + 6*f = 0. Calculate f.
-1, 2
Factor 5*i**4 + 16*i**3 + 1043 - 714 - 509 - 4*i**4 + 7*i**2 - 132*i.
(i - 3)*(i + 2)**2*(i + 15)
Let r = 1016/367 + -676/1835. Let -39/5*b**2 + 27/5*b**4 - 48/5*b**3 + 48/5*b + r = 0. What is b?
-1, -2/9, 1, 2
Suppose 4*i - 35 = -o, -8747*o + 8749*o = -i + 14. Let -2/9*d**o + 4/3*d**2 - 4/3 + 2/9*d = 0. Calculate d.
-1, 1, 6
Let n(c) = 166*c - 664. Let l be n(4). Let z(y) be the third derivative of -6*y**2 + 0*y + 1/24*y**4 - 1/120*y**6 + 1/6*y**3 - 1/60*y**5 + l. Factor z(k).
-(k - 1)*(k + 1)**2
Suppose 708*n + 662*n + 113*n - 2966 = 0. Factor -2/3*r**4 + 2 + 22/3*r - 2/3*r**5 + 28/3*r**n + 4*r**3.
-2*(r - 3)*(r + 1)**4/3
Let r be (-2448)/576*(-18)/51. Factor 5/2*h + 1 + r*h**2.
(h + 1)*(3*h + 2)/2
Let d be -1 - (-104 + 5)/3. Suppose 0 + 10*u**3 - 27*u**4 + 5*u**2 + d*u**4 + 0 = 0. Calculate u.
-1, 0
Let q(w) = 11*w**2 + 737*w - 698. Let s(y) = y**2 + 2*y + 2. Let v(i) = q(i) - 10*s(i). Factor v(u).
(u - 1)*(u + 718)
Let y(u) be the third derivative of -17/600*u**6 - 4*u + 0 - 10*u**2 + 1/1050*u**7 + 20/3*u**3 + 7/50*u**5 + 13/6*u**4. Find i such that y(i) = 0.
-2, -1, 10
Let s = 19/12 + -1/12. Let n = -27577 - -27580. Find a such that s*a**5 + 0 + 0*a**2 + 3/2*a**n + 3*a**4 + 0*a = 0.
-1, 0
Let n(y) be the second derivative of -y**7/357 - 8*y**6/85 - 9*y**5/34 - 11*y**4/51 + 1893*y. Factor n(q).
-2*q**2*(q + 1)**2*(q + 22)/17
Suppose 39 = -n - 4*r, 3*r + 73 = -89*n + 97*n. Find s such that 36/7*s**4 - 3*s**n - 48/7 + 12/7*s**2 + 201/7*s**3 - 180/7*s = 0.
-2, -1, -2/7, 1, 4
Let n(o) = -o**3 + 42*o**2 - 134*o + 3. Let z(c) = 4*c**3 - 120*c**2 + 404*c - 10. Let b(l) = -20*n(l) - 6*z(l). Let b(t) = 0. What is t?
-32, 0, 2
Let j be 21/9 - 1/3. Factor 37*n**j + 23*n**2 + 24*n**2 - 244*n + 12*n**2 + 1600 - 4*n**3 - 476*n.
-4*(n - 10)**2*(n - 4)
Let v(q) be the second derivative of -q - 9*q**4 + 5 + 9/10*q**5 + 0*q**2 - 1/40*q**6 + 0*q**3. Factor v(m).
-3*m**2*(m - 12)**2/4
Suppose -72/13*v - 24/13*v**2 - 2/13*v**3 - 64/13 = 0. What is v?
-8, -2
Let g(n) = 4*n**3 + 40*n**2 + 101*n + 65. Let d(z) = -4*z**3 - 40*z**2 - 100*z - 64. Let q(o) = 7*d(o) + 8*g(o). Suppose q(j) = 0. Calculate j.
-6, -3, -1
Let a(w) be the second derivative of -w**5/50 - 73*w**4/10 - 4104*w**3/5 - 34992*w**2/5 + 3*w - 36. Find d, given that a(d) = 0.
-108, -3
Let n(p) = -2*p**3 - 13*p**2 + 76*p + 485. Let c be n(-7). Factor -2/3*w**3 - 4 - 22/3*w - 4*w**c.
-2*(w + 1)*(w + 2)*(w + 3)/3
Let l(o) be the third derivative of 0*o + 0 + 30*o**2 + 1/540*o**5 - 7/216*o**4 - 4/27*o**3. Suppose l(b) = 0. What is b?
-1, 8
Suppose -25/2*b - 1/4*b**2 + 84 = 0. Calculate b.
-56, 6
Let 68*b - 120*b**2 - 75*b**3 + 405 + 1101*b + 70*b**3 - 584*b + 295 = 0. What is b?
-28, -1, 5
Suppose 769 = -3*i + 871. Let k(m) be the first derivative of i + 2/3*m**6 - 2*m**2 - 4/3*m**3 - 14/5*m**5 + 2*m + 4*m**4. Factor k(f).
2*(f - 1)**4*(2*f + 1)
Let n(b) = 5*b**3 + 343*b**2 + 1181*b + 857. Let v(l) = -3*l**3 - 229*l**2 - 787*l - 571. Let z(c) = -5*n(c) - 7*v(c). Factor z(y).
-4*(y + 1)*(y + 3)*(y + 24)
Let i = -223483 + 223485. Factor 4*l**i + 3*l + 0 + 1/4*l**4 + 7/4*l**3.
l*(l + 2)**2*(l + 3)/4
Let r = 911 + -882. Let d(j) be the second derivative of -1/12*j**3 + 0*j**2 + r*j + 0 - 1/24*j**4. What is f in d(f) = 0?
-1, 0
Let a = -458 - -473. Suppose -4*s + 9 = -3*x, 68*s + 5*x = 63*s - a. Factor 1/3*d**2 + s - 1/3*d**3 + 0*d - 1/3*d**4 + 1/3*d**5.
d**2*(d - 1)**2*(d + 1)/3
Let 76*n - 1457*n**2 + 4*n - 15 + 20*n**3 + 1372*n**2 = 0. What is n?
1/4, 1, 3
Factor -69*v - 36*v**2 + 0 + 135/4*v**3 + 3/4*v**4.
3*v*(v - 2)*(v + 1)*(v + 46)/4
Let j(g) = 2*g**2 + 192*g + 4040. Let w(n) = -6*n - 4. Let b(z) = -2*j(z) - 4*w(z). Determine y, given that b(y) = 0.
-48, -42
Let x(h) = -h**2 - 54*h - 196. Let s be x(-4). Suppose 3*j = -o - 3, -4*j - 6 = s*o - 2*o. Solve -3/2*b + j - 5/2*b**2 - 1/2*b**3 + 1/2*b**4 = 0.
-1, 0, 3
Suppose 0 = x + 3*x - 28. Let 37*h**3 - 19*h**3 + 13*h**2 - 80*h + 42*h**3 - 5*h**5 + x*h**2 + 6*h**4 - h**4 = 0. What is h?
-2, 0, 1, 4
Let f(j) be the second derivative of -j**5/60 - j**4/2 - 10*j**3/3 + 14*j**2 + 7*j. Let p(n) be the first derivative of f(n). Let p(x) = 0. What is x?
-10, -2
Suppose -81 - 79 = 40*k. Let p(d) = 2 - 4*d + 2*d**2 + 4*d + d**2. Let y(c) = -7*c**2 - 5. Let l(h) = k*y(h) - 10*p(h). Factor l(v).
-2*v**2
Solve 2/9*g**2 - 454/9*g + 452/9 = 0 for g.
1, 226
Suppose 0 = 27*w - 37*w + 15940. Let f = -1 + 3. Find i, given that -1274*i**f + 44 + 1 - 240*i + w*i**2 = 0.
3/8
Let u(z) = 8*z**2 + z. Let a be u(1). Suppose 0 = -r - 2*r + a. Suppose 4 + p**3 - 7*p - 5*p**r - 5*p + 0*p + 12*p**2 = 0. Calculate p.
1
Let a(b) be the third derivative of -b**6/30 - 6*b**5/5 - 35*b**4/2 - 392*b**3/3 + 4*b**2 - 961*b + 2. Suppose a(l) = 0. Calculate l.
-7, -4
Let s = 1548 - 1546. Let q = 110/81 + -2/81. Factor -8/3 - q*v**s + 4*v.
-4*(v - 2)*(v - 1)/3
Let b(y) be the first derivative of -2*y**5/45 - 2*y**4/9 - 446. Suppose b(n) = 0. What is n?
-4, 0
Let j = -729 + 736. Let r(l) be the second derivative of 2/21*l**j + 16/15*l**6 + 32/3*l**3 + 0 + 24/5*l**5 + 0*l**2 + 32/3*l**4 + 19*l. Factor r(p).
4*p*(p + 2)**4
Let u(v) be the second derivative of 5*v**7/21 + 2327*v**6/60 - 3919*v**5/40 - 1463*v**4/12 + 707*v**3/3 - 118*v**2 + 8464*v. Let u(l) = 0. What is l?
-118, -1, 1/4, 2/5, 2
Let o be ((-28)/(-70))/(1/(-1385)). Let f = o + 554. Factor -1/3*y**4 + 0 + f*y - 2*y**3 - 3*y**2.
-y**2*(y + 3)**2/3
Let i(w) be the second derivative of -w**10/52920 - w**9/13230 - w**8/11760 + 29*w**4/12 - 7*w + 3. Let d(z) be the third derivative of i(z). Factor d(m).
-4*m**3*(m 