be the first derivative of -5/8*k**4 + 0*k - 1/2*k**3 - 28 - m*k**5 + 9/4*k**2. Factor f(u).
-u*(u - 1)*(u + 3)**2/2
Let j be ((-1104)/10304)/((9/10)/((-6)/5)). Factor -1/7*u**4 - j*u + 1/7*u**3 - 2/7 + 3/7*u**2.
-(u - 2)*(u - 1)*(u + 1)**2/7
Let x(g) = 47*g - 227. Let s be x(5). Factor -12 + 20 - 9*z**3 + s - 2*z**4 + 28*z + 6*z**2 + z**3.
-2*(z - 2)*(z + 1)**2*(z + 4)
Factor -31*d + 110 - 4*d**2 + 151*d + 14.
-4*(d - 31)*(d + 1)
Suppose 2*p - 3 = -5*n + 8, -3*p + 6 = 4*n. Solve -44*i**2 - 6*i + 9*i**3 + 178*i - 40 - 25*i**n = 0 for i.
-5, 1/4, 2
Solve 0 + 4/7*g**5 - 4/7*g**3 + 0*g - 4*g**4 + 4*g**2 = 0.
-1, 0, 1, 7
Find v such that -304*v**2 - 304*v**2 - 6*v + 607*v**2 + v + 16 - 10*v = 0.
-16, 1
Let n = -962028/7 + 137433. Factor -3/7*m**3 + 1/7*m**4 + n*m - 1/7*m**2 + 0.
m*(m - 3)*(m - 1)*(m + 1)/7
Let x(m) = 8*m**2 + 392*m. Let h(v) = -2*v**2 - 2*v. Let u(j) = -6*h(j) - x(j). Factor u(l).
4*l*(l - 95)
Let o(b) be the third derivative of b**6/24 + b**5/3 - 55*b**4/24 + 5*b**3 - 32*b**2 - 2. Find u such that o(u) = 0.
-6, 1
Suppose -5*z - 3*x = -6*z + 2, 6 = 3*z - 5*x. Factor -1418*h - 19*h**z + 1418*h - 5*h**3 + 4*h**2.
-5*h**2*(h + 3)
Let v be -3*20/(-6)*1. Suppose 0 = v*d - 18 - 12. Suppose 6/5*z + d*z**4 + 21/5*z**2 + 0 + 3/5*z**5 + 27/5*z**3 = 0. What is z?
-2, -1, 0
Let f(d) be the first derivative of -3*d**4/14 + 184*d**3/21 - 307*d**2/7 + 540*d/7 + 5195. Solve f(h) = 0.
5/3, 2, 27
Let a(s) be the third derivative of -4/3*s**3 - 104*s + s**2 + 0 - 1083/20*s**6 - 1007/10*s**5 + 56/3*s**4. Determine u, given that a(u) = 0.
-1, 2/57
Let p(a) be the third derivative of 0 + 7/9*a**3 + 66*a + 3*a**2 - 17/216*a**4 + 1/540*a**5. Suppose p(g) = 0. What is g?
3, 14
Let s(f) be the second derivative of -f**4/15 + 356*f**3/15 - 354*f**2/5 + 1459*f. Factor s(k).
-4*(k - 177)*(k - 1)/5
Let y(x) = -4*x**3 + 3717*x**2 - 1153209*x + 119164012. Let z(q) = -8*q**3 + 7433*q**2 - 2306421*q + 238328028. Let u(n) = 7*y(n) - 3*z(n). Factor u(p).
-4*(p - 310)**3
Let d(m) be the second derivative of 3 - 7*m + 0*m**4 + 2/7*m**3 + 0*m**2 - 9/140*m**5 - 1/70*m**6. Factor d(o).
-3*o*(o - 1)*(o + 2)**2/7
Let w be 2/(-9) - (2849/(-63) - -6). What is z in 34 - 100*z + w*z**2 - 15*z**2 - 18 = 0?
1/6, 4
Let x(o) be the second derivative of o**5/10 - 23*o**4/6 + 134*o**3/3 - 112*o**2 + 19*o - 96. Determine j so that x(j) = 0.
1, 8, 14
Let u(h) = 24*h**3 + 3837*h**2 + 183362*h - 46088. Let p(s) = 2*s**3 + s**2 + s - 4. Let c(n) = 2*p(n) - u(n). Factor c(t).
-5*(t + 96)**2*(4*t - 1)
Let j be (-21)/(-7)*(-11664)/(-128). Determine z so that -j - 3/8*z**2 - 81/4*z = 0.
-27
Let u be (-7)/(98/8)*(1/(7/(-252)) - -6). Solve -u*r**2 - 48/7*r + 0 - 99/7*r**3 - 30/7*r**4 - 3/7*r**5 = 0.
-4, -1, 0
Let m(x) be the third derivative of x**5/140 - 13*x**4/14 + 48*x**3 - 3664*x**2. Factor m(k).
3*(k - 28)*(k - 24)/7
Let a be 26/(-4) + (-6)/(-4). Let f be (a + 2/1)/(3/(-11)). Factor -f*l**2 + 4 + 2*l - 2 - 5*l + 12*l**2.
(l - 2)*(l - 1)
Let c be (15/((-540)/(-234)))/(14 + -1). Determine l so that -11*l**4 - 47/4*l**3 - 3*l**2 - 3*l**5 + 5/4*l + c = 0.
-2, -1, -1/2, 1/3
Suppose -4*q + 2*u - 4 = 0, -5*q - 3 = -u - u. Factor 44*d + 5220*d**3 + q - 5228*d**3 - 12*d**2 + 4 + 19.
-4*(d - 2)*(d + 3)*(2*d + 1)
Determine g so that -124/13*g - 2/13*g**3 + 46/13*g**2 + 80/13 = 0.
1, 2, 20
Let r = -15/10279 - -123513/113069. Solve -r + 6/11*p - 60/11*p**3 + 6*p**2 = 0 for p.
-2/5, 1/2, 1
Factor -22*w**5 - 19*w**5 + 37*w**5 + 271*w**2 + 108*w**4 + 485*w**2 - 188*w**3 - 352*w**3.
-4*w**2*(w - 21)*(w - 3)**2
Let x(z) be the first derivative of -z**5/30 + 5*z**4/12 + 2*z**3 - 29*z**2/2 + 4*z + 134. Let s(t) be the second derivative of x(t). Let s(p) = 0. What is p?
-1, 6
Let w be (-11)/21 - 4/(-6). Let b = -16825409/7 + 2403630. What is t in 0*t + 1/7*t**3 - b*t**2 + w*t**4 - 1/7*t**5 + 0 = 0?
-1, 0, 1
What is j in 1/4*j**3 + 12*j + 0 + 19/4*j**2 = 0?
-16, -3, 0
Find k such that -536/9*k - 10/3*k**2 + 8 = 0.
-18, 2/15
Let p = 7 - 3. Let a be (-51)/34*(76 - 78). Let -4/9 - 2/9*g**2 + 2/3*g**p + 10/9*g**a - 10/9*g = 0. What is g?
-1, -2/3, 1
Let v = 3/982 - -973/2946. Let i(o) be the second derivative of 0 + 13*o - 2*o**3 + v*o**4 + 0*o**2. Factor i(x).
4*x*(x - 3)
Let i(z) = -z**3 + 2*z**2 + 36*z + 1. Let p be i(7). Let q be p + -2 - (15/5 + 1). What is r in -4/9 - 2/3*r - 2/9*r**q = 0?
-2, -1
Suppose -4/7*v**2 - 9488/7*v - 5626384/7 = 0. What is v?
-1186
Find i such that 0 - 3/4*i**4 - 27/2*i - 15/2*i**3 - 81/4*i**2 = 0.
-6, -3, -1, 0
Let f be 12*11/(-308) - (-188)/(-1410)*591/(-14). Factor 0*v + f*v**3 + 0 - 4/5*v**4 + 14/5*v**2.
-2*v**2*(v - 7)*(2*v + 1)/5
Let d(q) be the third derivative of 5*q**5/24 - 10*q**4/3 - 11*q**3/4 + 11*q**2 + 17. Factor d(h).
(5*h - 33)*(5*h + 1)/2
Let t(l) be the first derivative of -l**5/20 - 21*l**4/8 + 11*l**3 + 21*l**2/2 - 4. Let j(m) be the second derivative of t(m). Let j(s) = 0. Calculate s.
-22, 1
Let -523 + 16891*h**2 + 712*h - 185 - 16895*h**2 = 0. Calculate h.
1, 177
Let o be -2 + 32 + (0 - 7) - 5. Let i be (9/108)/(12/o). Factor i*b**2 + 1/8 - 1/4*b.
(b - 1)**2/8
Suppose 2*y = 3*r + 2*r + 4, 2*r + 5*y = -19. Let v be 4 + (r - -3) - 3. Suppose -21 + v*j**3 - 19 + 48 - 6*j**2 = 0. What is j?
-1, 2
Let c be (-42)/(-3) - (-1343)/(-96). Let v(w) be the third derivative of 1/80*w**5 - 1/120*w**6 + 0*w**3 + w**2 + c*w**4 + 0*w + 0. Factor v(a).
-a*(a - 1)*(4*a + 1)/4
Suppose 10*w = 7*w + 99. Suppose -w*l - 4 = -34*l. Factor 4*k**2 + 4 - 16*k + 7*k**2 - l*k**2.
(k - 2)*(7*k - 2)
Suppose 9*z - 41 + 14 = 0. Suppose 39*i - z = 38*i. Factor -2/7*n**i - 8/7*n + 0 + 8/7*n**2.
-2*n*(n - 2)**2/7
Let s be 3 + (-5 - 3/(-1))/(-1). Solve 72 + 11*a**3 + 306*a**2 - 12*a - 60 - 3*a**s + 4*a**3 + 3*a**4 - 321*a**2 = 0.
-2, -1, 1, 2
Let v = 983047023/301429430 + 6/972353. Let t = v - -21/62. Suppose 3/5*d**2 - t + 3/5*d = 0. Calculate d.
-3, 2
Let q be 7 - (6 + -1)*1. Find w, given that 18*w - 1 + 5 - 10*w**3 + 0 - 25260*w**2 + 25248*w**q = 0.
-2, -1/5, 1
Let f be (-9)/(-30) + (-814)/(-370). Let q(r) be the first derivative of 5/4*r**4 - f*r**2 - 16 - 5*r**3 + 15*r. Suppose q(o) = 0. What is o?
-1, 1, 3
Suppose 116*p**3 - 160 + 157*p**2 + 234*p**3 - 41*p**2 + 16517620*p + 92*p**4 - 16517756*p + 6*p**5 + 172*p**2 = 0. What is p?
-10, -4, -1, 2/3
Let f(b) be the first derivative of -b**4/10 - 2*b**3/3 + 13*b**2/5 - 261*b - 18. Let r(n) be the first derivative of f(n). Factor r(z).
-2*(z - 1)*(3*z + 13)/5
Solve 16/7*i**2 + 6/7 + 40/7*i - 52/7*i**3 - 22/7*i**4 + 12/7*i**5 = 0.
-1, -1/6, 1, 3
Suppose -5*c = -16*c + 22. Determine h so that 8 - 15*h**c + 12*h**4 + 4*h**5 - 31*h**2 + 8 - 4*h**3 + 18*h**2 = 0.
-2, -1, 1
Let u(i) be the second derivative of i**4/30 - 688*i**3/15 + 118336*i**2/5 + 7770*i. Solve u(b) = 0.
344
Suppose 3*b + 3*c + 36 = 0, 6*b - 6*c - 124 = 2*c. Find h, given that 90*h - 12*h**b + 2/5*h**3 + 0 = 0.
0, 15
Let b = 1234/3405 - 33/1135. Factor 0 + 2/3*g**4 + b*g**5 + 0*g - 2/3*g**2 - 1/3*g**3.
g**2*(g - 1)*(g + 1)*(g + 2)/3
Let p(j) be the second derivative of -18*j + 0 + 17/39*j**3 + 16/13*j**2 + 1/78*j**4. Find y, given that p(y) = 0.
-16, -1
Let p(c) be the third derivative of 13/54*c**4 - 6 - 1/270*c**5 + 0*c + 3*c**2 - 16/9*c**3. Let p(g) = 0. Calculate g.
2, 24
Suppose 5*w + 8 = -t, 155*t + 5*w = 152*t - 4. Let k(f) be the second derivative of 2*f**t + 1/3*f**4 + 0 - 4/3*f**3 - 23*f. Factor k(d).
4*(d - 1)**2
Let i = 117939/7 - 471735/28. Factor 0 + 9*c**2 - i*c**4 - 12*c + 0*c**3.
-3*c*(c - 2)**2*(c + 4)/4
Let u be -7 - (-9 - 0/(-3) - 180/180). Suppose -21*o + 3/2 + 99/2*o**2 + 96*o**4 + 168*o**u = 0. Calculate o.
-1, 1/8
Determine z so that -60*z + 15*z**3 + 49 + 49254*z**2 - 49244*z**2 - 9 - 5*z**4 = 0.
-2, 1, 2
Suppose 5*l - 40 = -5*s, l + l + 3*s = 21. Let z be (-4 - (-2 - 13))/(l/6). Solve -2*q + 7*q**2 - z + 22 + 9*q**3 = 0 for q.
-1, 0, 2/9
Let g = 5917 - 5912. Let j(p) be the third derivative of -11*p**2 - 1/100*p**6 - 1/60*p**4 + 0*p**3 + 0*p + 0 + 2/75*p**g. Factor j(u).
-2*u*(u - 1)*(3*u - 1)/5
Let h be 1592/378 - 2012/(-72432)*(-16)/(-6). Factor 26/7*q**2 + 4/7 + h*q.
2*(q + 1)*(13*q + 2)/7
Find w such that -28/3*w**2 + 104/3*w - 20 = 0.
5/7, 3
Let r be 7 - (-2 - (0 + 2 + -9)). Let y = -2 - -4. Solve -16 + n**2 + 12*n - n**r + 4*n**y = 0 for n.
-4