the first derivative of 4 + 8*y + y**4 - d*y**2 + 12*y**3 - 12/5*y**5. Solve i(x) = 0 for x.
-2, 1/3, 1
Let h(z) = -z**2 - 3*z + 307. Let y be h(-19). Suppose 2/15*b**2 + 2/15*b**y + 0*b - 2/15*b**4 - 2/15*b**5 + 0 = 0. Calculate b.
-1, 0, 1
Let z(q) = 17*q + 6. Let c be z(1). Suppose 0 = 5*a - 2 - c. Suppose -46*h**2 - a*h**5 + 41*h**2 - 11*h**4 - 10*h + 16*h**4 + 15*h**3 = 0. What is h?
-1, 0, 1, 2
Let d(z) be the first derivative of -92 - 1/8*z**2 + 7/12*z**3 + 1/16*z**4 - 3/2*z - 1/20*z**5. Let d(t) = 0. Calculate t.
-2, -1, 1, 3
Suppose 2*b - j - 7 = 0, -5*b + 4 = 4*j - 20. Suppose 40*y = 46*y. Let y*o**2 + 0*o**b - 4/5*o**3 + 2/5*o**5 + 0 + 2/5*o = 0. Calculate o.
-1, 0, 1
Let u(w) be the second derivative of w**6/180 - w**5/15 - 43*w**4/72 - 29*w**3/18 - 2*w**2 + 3*w + 194. Factor u(n).
(n - 12)*(n + 1)**2*(n + 2)/6
Let d(p) = 3*p**2 - 346*p - 1523. Let z(m) = -3*m**2 + 348*m + 1518. Let u(t) = -6*d(t) - 7*z(t). Factor u(o).
3*(o - 124)*(o + 4)
Let y(s) = -3*s. Suppose 2*m + 5*f - 19 = 0, -5*f + 15 = 3*m - 2*f. Let w(a) = a**m - 68*a + 33*a + 34*a. Let z(k) = 3*w(k) - y(k). Let z(x) = 0. Calculate x.
0
Suppose 26*q + 233*q + 300*q = 6*q + 1106. Determine c so that -28/5 + 29/5*c - 1/5*c**q = 0.
1, 28
Let r be 4*-1*(4 + -3). Let t be (17/(-17))/(2/r). Find n such that -t*n**4 + 4*n**5 - 12*n**2 + 6*n**4 - 4*n**2 - 16*n**3 = 0.
-2, -1, 0, 2
Suppose 5*q + 32 = -o, 2*o + 3*q + 53 = 4*q. Let t be -5 + (o/2)/(-1). Determine m so that 7*m**3 + 0*m**2 + 1/2 - t*m**4 - 2*m + 3*m**5 = 0.
-1/2, 1/3, 1
Let v be -2*(57/399)/(4/(-42)). Let r(i) be the second derivative of -22*i - 10/3*i**v - 1/3*i**4 + 0 + 12*i**2. Factor r(a).
-4*(a - 1)*(a + 6)
Factor 4/3*w**2 + 2/3*w**3 + 176/3 - 182/3*w.
2*(w - 8)*(w - 1)*(w + 11)/3
Let r(s) be the second derivative of -361*s**6/150 - 1881*s**5/100 - 457*s**4/15 - 54*s**3/5 - 8*s**2/5 - 23*s - 5. Let r(c) = 0. What is c?
-4, -1, -2/19
Let t(f) = 21*f + 2. Let i be t(3). Let l be i/15 + 3/(-9). What is y in 3*y**3 + 19*y - 24*y**2 + 27 - 21*y**3 - 3*y**l - y = 0?
-3, -1, 1
Suppose -2*r - 14 = -2*b, 4*r - 22 = -b + 2*r. Suppose -b*s**2 - 2*s**2 + 8*s - 4*s**3 + 10*s**2 = 0. Calculate s.
-2, 0, 1
Suppose 2*o - 20 = -d, 0 = 3*o + 31*d - 29*d - 38. Factor -20/3*b + 0 + 4/9*b**o.
4*b*(b - 15)/9
Let t be 3*(1 - 2) + (-2426593)/(-861619). Let g = -2/1073 - t. What is f in 64/11*f + 16/11*f**3 + 32/11 + g*f**4 + 48/11*f**2 = 0?
-2
Let l(m) = 0 - 6 - m + 5. Let g(v) = 4*v**2 - 5*v + 5. Suppose -59*q = -63*q - 8. Let h(u) = q*g(u) - 10*l(u). Determine d so that h(d) = 0.
0, 5/2
Let m be 22/108 - (86/(-27))/(-86). Factor 7/3*l + m*l**2 + 0.
l*(l + 14)/6
Let v(t) be the second derivative of t**7/252 + 23*t**6/180 - 13*t**5/15 + 3*t**4/2 + 4*t + 269. Factor v(b).
b**2*(b - 2)**2*(b + 27)/6
Let q(o) be the third derivative of -o**5/30 - 61*o**4/12 - 58*o**3 - 939*o**2. Factor q(i).
-2*(i + 3)*(i + 58)
Let d(l) be the third derivative of -5*l**8/36 + 16*l**7/35 + 89*l**6/360 - 181*l**5/180 - 5*l**4/6 + 2*l**3/9 + 532*l**2. Let d(k) = 0. Calculate k.
-1/2, 2/35, 1, 2
Find u, given that 1289025*u + 199611*u**2 + 5*u**4 - 48753*u - 2*u**4 - 1566*u**3 + 1881792 = 0.
-3, 264
Suppose o + 2*i = 10, 3*o - 4*o - 8 = -4*i. Solve -5*k**3 + 17*k**3 + 42*k + 31*k**2 + 3*k**o - 88*k**2 = 0 for k.
-7, 0, 1, 2
Let w(y) be the first derivative of 3615*y**4/4 - 3605*y**3/3 - 10850*y**2 - 60*y - 2577. Find c such that w(c) = 0.
-2, -2/723, 3
Let b be 1*(15 + 1312/(-96)). Find t such that -t**2 + 4/3*t - 1/3*t**4 + b - 4/3*t**3 = 0.
-2, -1, 1
Solve 8/11*q**5 + 0 - 966/11*q**3 - 164/11*q + 304/11*q**4 + 734/11*q**2 = 0.
-41, 0, 1/2, 2
Let v(k) be the third derivative of -k**5/65 - 167*k**4/156 + 28*k**3/39 - k**2 + 481. Factor v(j).
-2*(j + 28)*(6*j - 1)/13
Let f(r) = -7*r + 133. Let j be f(19). Let l(c) be the first derivative of -8 + 0*c**2 + j*c - 1/14*c**4 + 2/21*c**3. Determine s so that l(s) = 0.
0, 1
Let c(h) = 2*h**2 - h + 2. Let d be c(-2). Solve 190*t**3 - 28*t - d*t - 77*t**4 + 64 + 22*t**4 - 155*t**2 - 4 = 0 for t.
-6/11, 1, 2
Let a(s) = -12*s**2 + 120*s - 117. Let b(y) = y**2 - 5*y + 1. Let x(c) = -a(c) - 15*b(c). Suppose x(u) = 0. What is u?
-17, 2
Suppose 5*n - 4*x + 22 - 67 = 0, 4*x = -20. Let m be (2 - n)/(39/(-377)). Suppose -14*k - 26*k**3 + 14*k**2 + 8*k**4 + m*k**2 + 2 - 13*k**2 = 0. Calculate k.
1/4, 1
Let m be (18/20*(-3)/12)/((-4)/380). Factor 15/4 + 27/8*t**3 + m*t + 21*t**2.
3*(t + 1)*(t + 5)*(9*t + 2)/8
Let l be 5/25*15 - (-78)/(-27). Let x(a) be the first derivative of 1/18*a**6 + 0*a**2 - 1/12*a**4 + 0*a + l*a**3 + 2 - 1/15*a**5. Factor x(v).
v**2*(v - 1)**2*(v + 1)/3
Determine i so that -i**2 + 34*i - 1224 + 29*i - 16*i + 49*i + 18*i = 0.
12, 102
Let k = -10720343/165 + 64973. Let b = k + 6/55. Factor -4/3*v + b*v**3 + 2/3*v**2 - 2/3*v**4 + 0.
-2*v*(v - 2)*(v - 1)*(v + 1)/3
Factor -8*w**2 - 5*w**2 + 20*w**2 + 4*w**3 - 3 - 4*w - 3*w**2 - 1.
4*(w - 1)*(w + 1)**2
Let l(k) = -k**2 + 2*k - 8. Let p(d) = -7*d**2 - 352*d - 804. Let c(r) = -40*l(r) + 5*p(r). Solve c(a) = 0.
-2, 370
Let t(n) be the third derivative of n**9/7560 + n**8/4200 - n**7/420 + n**6/300 + 13*n**3 - 15*n**2. Let w(f) be the first derivative of t(f). Factor w(s).
2*s**2*(s - 1)**2*(s + 3)/5
Find o, given that -2083 - 454*o - o**2 + 1297 - 333*o = 0.
-786, -1
Let g(n) be the first derivative of -n**5/10 + n**4/6 + 3*n**3 - 9*n**2 + 207*n - 16. Let b(k) be the first derivative of g(k). Let b(i) = 0. What is i?
-3, 1, 3
Let q(x) be the first derivative of -55 + 1/4*x**2 - 35/4*x + 1/12*x**3. Find f such that q(f) = 0.
-7, 5
Let t(i) be the first derivative of i**6/105 - i**5/70 - 2*i**4/21 + 4*i**3/21 + 92*i - 49. Let k(x) be the first derivative of t(x). Factor k(l).
2*l*(l - 2)*(l - 1)*(l + 2)/7
Let m(t) be the first derivative of t**5/45 + t**4/9 - t**3 + 19*t**2/9 - 16*t/9 - 1977. Suppose m(c) = 0. What is c?
-8, 1, 2
Let c be 564/(-1551) + 8/22. Let z(i) be the first derivative of -1/3*i**3 + 12 + c*i - 3/2*i**2. Factor z(y).
-y*(y + 3)
Find n, given that 1175*n**3 + 1169*n**3 - 2349*n**3 + 23790*n**2 - 37730940*n + 19947090280 = 0.
1586
Suppose 3*n + 3 - 8 = 5*o, -3*o + 21 = 3*n. Suppose -5*h + 2*h - l = -9, 3*h = -n*l + 21. Factor -53 + 181 + 5*d**4 + 110*d**h - 40*d**3 - 120*d - 83.
5*(d - 3)**2*(d - 1)**2
Let d(p) = -1220*p - 289138. Let r be d(-237). Factor -1/7*i**3 + 4/7*i + 1/7*i**r - 4/7.
-(i - 2)*(i - 1)*(i + 2)/7
Let p(c) = -55*c**2 + 4*c - 3*c - 44*c**2 + 100*c**2. Let s(o) = 5*o**2 + 5*o. Let t(f) = -33*p(f) + 6*s(f). Factor t(n).
-3*n*(n + 1)
Suppose -j + 618 = 5*h, -4*j = -6*j - 2*h + 1212. Let i = -3011/5 + j. Factor 2/5*m**5 + 0 + 0*m**2 + 0*m**4 - i*m**3 + 2/5*m.
2*m*(m - 1)**2*(m + 1)**2/5
Let i = -2629 + 2633. Let r(o) be the first derivative of -2/3*o**i + 2/15*o**5 + 2/3*o**3 - 8 + 0*o + 0*o**2. Find t such that r(t) = 0.
0, 1, 3
Let j(c) be the second derivative of -11/27*c**3 - 121*c + 10/9*c**2 + 0 + 1/54*c**4. Let j(w) = 0. Calculate w.
1, 10
Find s, given that -658/9*s**2 + 8/9*s**4 - 160/9 + 268/3*s + 2/3*s**3 = 0.
-10, 1/4, 1, 8
Let j(x) be the third derivative of -63/20*x**4 + 0*x + 3969/10*x**3 + 0 + 55*x**2 + 1/100*x**5. Suppose j(p) = 0. What is p?
63
Let j(d) = -2*d**2 + 17*d + 27. Let t be j(9). Factor 8*l**2 + t*l**2 - 4*l + 6*l + 2 + 26*l.
2*(l + 1)*(13*l + 1)
Let y(o) be the second derivative of 0 - 1/4*o**5 + 0*o**3 + 1/6*o**6 + 34*o + 0*o**4 + 0*o**2. Find q, given that y(q) = 0.
0, 1
Let k(d) be the third derivative of 0*d - 60*d**2 + 0 - 289/33*d**3 - 1/330*d**5 + 17/66*d**4. Factor k(z).
-2*(z - 17)**2/11
Let r be 59/(1888/(-320)) - (248/16)/((-9)/6). Factor 5/3*h**3 + 3*h**2 - 27*h - r*h**4 + 36.
-(h - 3)**3*(h + 4)/3
Suppose -b + 10*b - 18 = 0. Let q(r) = 2*r**3 - 3*r**2 + r - 2. Let g be q(b). Factor -8 - 38*c**2 - 2 - 8*c**g - 10 - c**5 - 25*c**3 - 28*c + 12.
-(c + 1)**2*(c + 2)**3
Let f(v) be the second derivative of -v**6/6 - 34*v**5 - 11215*v**4/6 + 7820*v**3 - 23805*v**2/2 - 5971*v. Suppose f(u) = 0. What is u?
-69, 1
Suppose -3*a - 4*l - 22 - 1 = 0, 3*a = -2*l - 7. Let y(j) be the second derivative of -12*j + j**a + 1/10*j**5 - 10*j**2 + j**4 + 0. Factor y(u).
2*(u - 1)*(u + 2)*(u + 5)
Let a(p) be the second derivative of p**8/1680 - 4*p**7/525 - 19*p**6/600 - p**5/30 + 97*p**2/2 + 13*p. Let i(v) b