e of i**6/600 + i**5/20 - 59*i**4/60 + 28*i**3/5 + 1603*i**2. Factor z(r).
(r - 4)*(r - 2)*(r + 21)/5
Let y = 145 + -281/2. Let c(v) = -1840*v - 1838. Let i be c(-1). What is l in 3*l - y*l**i + 3/2*l**3 + 0 = 0?
0, 1, 2
Let d(z) be the second derivative of z**4/30 - 23*z**3/15 - 174*z**2/5 + 152*z. Factor d(i).
2*(i - 29)*(i + 6)/5
Let d be 4*(-63)/56*(-6 + 350/63). Suppose 45/4*f + 23/2 - 1/4*f**d = 0. What is f?
-1, 46
Suppose 54*o = 3*c + 59*o + 11, 3*o + 1 = -c. Let s be (-129)/(-86) + (14/12)/c. Factor -s*g - 2/3*g**2 - 2/3.
-2*(g + 1)**2/3
Let p(c) be the first derivative of 2*c**5/5 - 9*c**4/2 - 86*c**3 + 281*c**2 - 288*c - 1627. Let p(b) = 0. What is b?
-9, 1, 16
Let g(u) be the first derivative of 132 - 3/5*u**5 - 59049*u + 123/2*u**4 - 2268*u**3 + 32805*u**2. Solve g(c) = 0.
1, 27
Suppose 4/9*f**4 + 400*f**2 + 1208/9*f**3 + 3592/9*f + 1196/9 = 0. What is f?
-299, -1
Let v = 227619 - 227617. Suppose -1/2*i + 5/3 - 1/6*i**v = 0. What is i?
-5, 2
Suppose 8*l - 9*l = -9, -2*m = -3*m - 5*l + 47. Suppose 10/7*o**m + 16/7*o + 2/7*o**3 + 8/7 = 0. What is o?
-2, -1
Suppose 0 = 338*u - 390 - 923 + 637. Factor 1/3*x**4 + 0*x + 0 - 4*x**u + 11/3*x**3.
x**2*(x - 1)*(x + 12)/3
Let w be -7 - (-6 - 5) - -539 - 2. Suppose 0 = -4*t + w - 525. Factor 8*x + 1 + 91/4*x**3 + 47/4*x**t + 81/4*x**2 + 9/4*x**5.
(x + 1)**3*(x + 2)*(9*x + 2)/4
Let k = 6143/18483 - -6/6161. Factor -1/6*z**4 - 2/3*z**3 - 5/6*z**2 - k*z + 0.
-z*(z + 1)**2*(z + 2)/6
Let m be (90/(-35))/(6/(-140)). Let f be (-1)/7 + (-44)/(-14) + 1. Determine n so that -3 - 45*n**f + 23 + 18*n**2 + 60*n**3 - m*n + 7*n**2 = 0.
-1, 2/3, 1
Let u = 49778/5 + -9955. Let c(n) be the first derivative of 0*n - 5*n**3 - 3*n**4 - 5 - 3*n**2 - u*n**5. Find j, given that c(j) = 0.
-2, -1, 0
Let v = -1989 - -1987. Let y be (-1)/v - (-15)/10. Suppose -2*n - 1/2*n**y - 3/2 = 0. Calculate n.
-3, -1
Let i(g) be the first derivative of -673*g**3 + 2025*g**2/2 - 6*g - 1510. What is b in i(b) = 0?
2/673, 1
Let l(j) = 8*j**3 - 40*j**2 + j - 3. Let m be ((-338)/65)/13 - 27/(-5). Let w be l(m). Factor 1 + 1/4*f**3 + 5/4*f**w + 2*f.
(f + 1)*(f + 2)**2/4
Let n(z) = 105*z**3 - 7095*z**2 + 13270*z - 125. Let m(t) = 5*t**3 - 338*t**2 + 632*t - 6. Let i(d) = -125*m(d) + 6*n(d). Solve i(b) = 0.
0, 2, 62
Let g be 0 - ((-46)/10 - -5)*-5. Let s(v) be the second derivative of 0 - 4*v - 1/20*v**5 - 1/2*v**3 - 1/30*v**6 + 0*v**g + 5/12*v**4. Factor s(h).
-h*(h - 1)**2*(h + 3)
Let b(k) be the first derivative of -k**8/2520 + k**6/270 - k**4/36 - 34*k**3/3 - 1. Let m(h) be the third derivative of b(h). Factor m(c).
-2*(c - 1)**2*(c + 1)**2/3
Let p(c) be the third derivative of -2*c**3 + 24*c + c**2 - 1/80*c**6 - 1/140*c**7 + 3/20*c**5 + 1/4*c**4 + 0. What is d in p(d) = 0?
-2, 1, 2
Suppose g = -5*v, 0 = 3*g + 7*v - 8*v - 32. Suppose -g*p = -44 + 14. Suppose -10/13 - 2/13*x**p + 10/13*x**2 + 2/13*x = 0. Calculate x.
-1, 1, 5
What is p in -14/5*p**5 + 64/5*p**2 + 188/5*p**3 + 8/5*p**4 - 174/5*p - 72/5 = 0?
-3, -1, -3/7, 1, 4
Let u be (-3)/((-156)/13 - -19)*-7. Factor -3/4 + 1/4*c**u + 3/4*c**2 - 1/4*c.
(c - 1)*(c + 1)*(c + 3)/4
Let n(m) be the second derivative of m**7/168 + m**6/15 - 11*m**5/4 + 25*m**4/3 + 8*m - 7. Suppose n(q) = 0. What is q?
-20, 0, 2, 10
Let i = 153373/3 + -51588. Let j = -463 - i. Let 2/3*l**2 - 2*l**3 + 4/3*l + j*l**5 + 0 - 2/3*l**4 = 0. What is l?
-1, 0, 1, 2
Let z(j) be the second derivative of -8/21*j**4 - 14*j**2 - 22*j - 11/3*j**3 - 1/70*j**5 - 2. Determine b so that z(b) = 0.
-7, -2
Let x = 15/947 - -23585/5682. Let j(k) be the third derivative of -x*k**3 + 0 - 55/24*k**4 + 0*k - 6*k**2 - 1/6*k**5. Factor j(a).
-5*(a + 5)*(2*a + 1)
Let c(s) be the second derivative of s**4/12 + 988*s**3/3 + 488072*s**2 - 7642*s. Suppose c(x) = 0. Calculate x.
-988
Let c(j) = -j**3 + 5*j**2 + 4*j + 14. Let w be c(6). Let s = -160 + 249. Solve -86*x**w - 20 - s*x**2 + 171*x**2 + 24*x = 0 for x.
1, 5
Let a = 183987/27916 + -77/3988. Determine i so that -24/7 + 2/7*i**3 - a*i - 20/7*i**2 = 0.
-1, 12
Factor -3/2*k**2 - 297/2*k - 291.
-3*(k + 2)*(k + 97)/2
Let c(o) be the second derivative of o**5/12 - 209*o**4/18 - 514*o**3/9 - 172*o**2/3 - 4*o - 155. Suppose c(s) = 0. Calculate s.
-2, -2/5, 86
Suppose -29*l = -40*l - 110. Let b(p) = -p**2 - 7*p + 51. Let z be b(l). Suppose 147/2 + z*h + 3/2*h**2 = 0. Calculate h.
-7
Let c = 486 - -145. Let r = c + -628. Factor 0 + 49/2*y**4 + 14*y**r + 2*y**2 + 0*y.
y**2*(7*y + 2)**2/2
Let b(m) be the second derivative of m**5/40 - 31*m**4/8 - 143*m**3/6 - 48*m**2 + 708*m. Factor b(v).
(v - 96)*(v + 1)*(v + 2)/2
Let y = -2/18301 + 18381/732040. Let v(h) be the second derivative of -y*h**5 + 0*h**3 + 1/120*h**6 - 16*h + 1/48*h**4 + 0*h**2 + 0. Solve v(z) = 0.
0, 1
Determine b, given that -10*b**2 + 225*b**3 + 56 - 60*b + 11*b**2 + 52 - 224*b**3 = 0.
-9, 2, 6
Let a(r) = -19*r**2 - 10254*r - 111. Let y(i) = 3*i**2 + 1710*i + 18. Let g(o) = -6*a(o) - 37*y(o). Let g(d) = 0. Calculate d.
0, 582
Let l(w) be the second derivative of -7/60*w**5 - 5/18*w**3 - 11/36*w**4 + 0*w**2 + 2*w - 1/90*w**6 - 17. Factor l(j).
-j*(j + 1)**2*(j + 5)/3
Let j(m) be the second derivative of -3*m**5/100 - 109*m**4/20 + 1673*m**3/10 - 18081*m**2/10 + m - 1693. Solve j(y) = 0 for y.
-123, 7
Suppose -12*v + 165 = 21*v. Let y(l) = 1. Let h(c) = -3*c**2 + 108*c - 977. Let u(f) = v*y(f) + h(f). Solve u(z) = 0.
18
Let k(z) = 5*z**4 - 57*z**3 - 47*z**2 + 41*z + 38. Let d(p) = -9*p**4 + 110*p**3 + 93*p**2 - 82*p - 77. Let j(t) = -4*d(t) - 7*k(t). Factor j(a).
(a - 42)*(a - 1)*(a + 1)**2
Factor 350/13*c + 2/13*c**2 + 348/13.
2*(c + 1)*(c + 174)/13
Let y = -2009405/9 + 223313. Suppose -742/9*p**2 - y*p - 64/9 + 2*p**4 - 80/3*p**3 = 0. Calculate p.
-2, -1/3, 16
Let h(a) be the first derivative of 81*a**6 - 648*a**5 + 3897*a**4/2 - 26512*a**3/9 + 7232*a**2/3 - 1024*a - 385. Solve h(f) = 0.
8/9, 1, 3
Factor -1845/4*i + 460*i**2 + 5/4*i**3 + 0.
5*i*(i - 1)*(i + 369)/4
Determine s so that 3*s - 765*s**2 + 174978*s**4 - 174973*s**4 + 40*s**3 - 3*s = 0.
-17, 0, 9
Let m(f) = 22*f**3 - 1006*f**2 + 2962*f - 1957. Let h(a) = 7*a**3 - 336*a**2 + 987*a - 652. Let z(w) = 7*h(w) - 2*m(w). Factor z(i).
5*(i - 65)*(i - 2)*(i - 1)
Let a(i) be the first derivative of 2*i**3/15 + 197*i**2/5 + 392*i/5 - 1629. Factor a(t).
2*(t + 1)*(t + 196)/5
Solve 68/3*u**4 - 914/3*u**3 - 19840/3*u + 6064/3*u**2 - 2/3*u**5 + 25600/3 = 0 for u.
5, 8
Factor 2/17*j**2 - 16 + 132/17*j.
2*(j - 2)*(j + 68)/17
Let l(s) be the second derivative of 86*s + 22/9*s**3 + 33/10*s**5 + 0 + 157/36*s**4 + 9/10*s**6 + 2/3*s**2. Factor l(q).
(q + 1)**2*(9*q + 2)**2/3
Factor 1/2*d**4 + 0 + 11/2*d**3 - 8*d**2 - 88*d.
d*(d - 4)*(d + 4)*(d + 11)/2
Suppose -2*k = -2*a, 0*a - 5 = -4*a - k. Suppose t = a + 1. Find w, given that 2*w**2 + 2*w + 0*w**2 + t*w**2 + 0*w**2 - 2 = 0.
-1, 1/2
Let c(o) = o**3 - 21*o**2 + 94*o + 31. Let k be c(7). Factor 1/3 - 2*i**k + 2/3*i - 5/3*i**2.
-(i + 1)*(2*i - 1)*(3*i + 1)/3
Let m(o) = -15 + 29 + 10 + 19 + 3 - 31*o + 4*o**2. Let i be m(6). Solve -2/9*s**5 + 0 - 2/9*s**i + 20/9*s**3 - 16/9*s**2 + 0*s = 0 for s.
-4, 0, 1, 2
Let k(j) be the first derivative of -j**7/18 - j**6/18 + j**5/30 + 15*j + 35. Let f(m) be the first derivative of k(m). Determine i, given that f(i) = 0.
-1, 0, 2/7
Let s = -33131/6 + 5522. Let l(m) be the second derivative of -1/2*m**2 - 1/48*m**4 + s*m**3 + 0 + m. Find r, given that l(r) = 0.
2
Let d be ((-6)/(-10))/((-1)/(-5)). Let k(x) be the first derivative of -5 + x**d + 16 - 3*x - 13 - 11. Factor k(h).
3*(h - 1)*(h + 1)
Let n(f) be the second derivative of 3/20*f**5 + 0 + 5/7*f**4 - 31/14*f**3 + 6/7*f**2 + 37*f. Factor n(o).
3*(o - 1)*(o + 4)*(7*o - 1)/7
Let c(z) = z + 16. Let r be c(-14). Suppose 24 = 10*k + r*k. Factor 271*s**k + 40 - 2*s**3 + 7*s**3 - 241*s**2 - 75*s.
5*(s - 1)**2*(s + 8)
Find w, given that 496*w + 32/3 + 644*w**3 - 3064/3*w**2 - 388/3*w**4 = 0.
-2/97, 1, 2
Let i(n) = -n**3 + 5*n**2 + 4*n - 18. Let k be i(4). Suppose -12 = 8*m - k*m. Solve -3/2*l**m - 3 + 9/2*l = 0.
1, 2
Factor 2/5*r**5 + 96/5 - 2/5*r**4 - 16*r**2 + 32/5*r - 48/5*r**3.
2*(r - 6)*(r - 1)*(r + 2)**3/5
Let b(o) = -o**3 + 2*o**2 + o. Let q(l) = 55*l**3 + 36*l**2 - 101*l - 4. Let p(c) = 7*b(c) + q(c). Factor p(r).
2*(r - 1)*(r + 2)*(24*r + 1)
Let h 