1)*(q + 151)
Let s(w) = 4*w**4 - 226*w**3 + 850*w**2 - 1073*w + 425. Let u(k) = k**4 - 3*k**3 - k**2 - 1. Let p(h) = -s(h) + 5*u(h). Factor p(b).
(b - 2)*(b - 1)**2*(b + 215)
Find i such that -50/9*i**5 - 164/9*i**2 - 28*i**4 - 40*i**3 + 0 - 2/3*i = 0.
-3, -1, -1/25, 0
Suppose -39*l + 198 = 81. Let j(t) be the second derivative of 0*t**l + 0 + 0*t**2 - 1/30*t**5 + 1/9*t**4 - 1/45*t**6 - 5*t. Determine w so that j(w) = 0.
-2, 0, 1
Let d = 2618 - 1322. What is q in -28*q - d - 375*q**2 + 23*q - 139*q + 371*q**2 = 0?
-18
Suppose 0*w = 2*w - 30. Suppose -4*b = -5*b, -3*v = -4*b - w. Factor 2*y**3 + 12*y + 9*y - 32 + 14*y**2 - v*y.
2*(y - 1)*(y + 4)**2
Let m(z) be the third derivative of z**5/390 + 6*z**4 - 1876*z**3/39 - 2*z**2 + 1171. Solve m(h) = 0 for h.
-938, 2
Suppose -87/2*k**4 + 0 - 9/2*k**5 + 304*k + 748*k**3 - 934*k**2 = 0. What is k?
-19, 0, 2/3, 8
Let w(k) be the second derivative of -k**5/35 + 19*k**4/28 - 29*k**3/7 + 20*k**2/7 + 5483*k. Suppose w(u) = 0. What is u?
1/4, 4, 10
Let a(q) be the second derivative of -q**5/30 - 26*q**4/3 - 679*q**3/3 - 6958*q**2/3 + q + 118. Factor a(n).
-2*(n + 7)**2*(n + 142)/3
Let w(l) = -l**2 - l. Let f(p) = -30*p**2 + 53*p. Let c(d) = 2*f(d) + 22*w(d). Let u be c(1). Factor -3 - 9/4*n**u + 3/4*n**4 + 6*n - 3/2*n**3.
3*(n - 2)*(n - 1)**2*(n + 2)/4
Factor -123/5*i**2 - 56*i - 1/5*i**4 - 4*i**3 - 176/5.
-(i + 1)*(i + 4)**2*(i + 11)/5
Let u = 63974 - 63972. Determine k so that -20/3*k - u*k**2 + 16/3 + 8/3*k**3 + 2/3*k**4 = 0.
-4, -2, 1
Let a be (-9)/(-27)*(3 + -4)*-36. Suppose -a + 4 = -4*v. Factor -4/7*x + 0 - 6/7*x**v - 2/7*x**3.
-2*x*(x + 1)*(x + 2)/7
Determine u so that 103/3*u**4 + 2/3*u**2 + 0 + 91/2*u**3 - 14/3*u - 35/6*u**5 = 0.
-1, -2/5, 0, 2/7, 7
Let z = 2035 - 943. Factor a**4 + 50*a**3 + 0*a**3 - z*a**2 + 1717*a**2.
a**2*(a + 25)**2
Let y(n) be the second derivative of -31*n**5/70 + 2*n**4/7 - 3*n + 314. Let y(x) = 0. What is x?
0, 12/31
Let n(t) be the first derivative of 8*t**3/15 - 1882*t**2/5 + 376*t + 5000. Determine s, given that n(s) = 0.
1/2, 470
Suppose -19*c + 2*c + 136 = 0. Suppose f - c = -2. Solve 12/5 - 72/5*o + f*o**4 + 147/5*o**2 - 117/5*o**3 = 0.
2/5, 1/2, 1, 2
Let d(t) = 2260*t**2 + t. Let o be d(-1). What is i in 6617 + 15500 + 3*i**2 + 10142 - o + 441*i + 159*i = 0?
-100
Solve 183*t**2 + 10272 - 14694 + 3321*t + 19731 + 3*t**3 = 0 for t.
-27, -7
Let u(m) be the third derivative of 1/42*m**7 + 24/5*m**3 - 32/5*m**4 + 5*m**2 + 0*m + 286/75*m**5 - 8/15*m**6 - 4. Solve u(k) = 0 for k.
2/5, 6
Factor -69*s + 44*s**2 + 112 + 10*s - 108*s + 7*s + 0*s**3 + 4*s**3.
4*(s - 2)*(s - 1)*(s + 14)
Let -2/3*o**4 + 5019300*o - 4943250 + 1172/3*o**3 - 76440*o**2 = 0. Calculate o.
1, 195
Suppose i = 5*g + 3, -210 = g - 5*i - 195. Solve g - 1/2*d + 3*d**2 - 5/2*d**3 = 0.
0, 1/5, 1
Factor -165*q + 605/2 + 45/2*q**2.
5*(3*q - 11)**2/2
Solve -109*b + 2451*b**2 - 3035*b - 1225*b**2 + 3147 - 1229*b**2 = 0 for b.
-1049, 1
Let w(b) = -b**2 + 5*b + 6. Let p(n) = -5*n - 5. Suppose 126 = -10*z + 12*z. Let h = -59 + z. Let y(m) = h*p(m) + 5*w(m). Find o, given that y(o) = 0.
-1, 2
Let u(x) be the third derivative of x**7/4620 + x**6/990 - x**5/165 - 2*x**4/33 - 71*x**3/6 + 7*x**2. Let z(v) be the first derivative of u(v). Factor z(p).
2*(p - 2)*(p + 2)**2/11
Let d be (2/7 - 174/315)/((-122)/183). Factor 12/5 - 2/5*v**2 - d*v.
-2*(v - 2)*(v + 3)/5
Let n(t) = -2*t + 78*t**2 + 78*t**2 + 72*t**2 - 234*t**2 + 10. Let r(j) = -1. Let k be 232/12 + 4/6. Let c(d) = k*r(d) + 2*n(d). Factor c(s).
-4*s*(3*s + 1)
Find m, given that -1134221 - 21*m**3 + 1134221 - 150*m**2 - 225*m = 0.
-5, -15/7, 0
Find d such that 0*d**4 + d**4 - 62*d**2 - 34*d**2 + 414*d + 11*d**2 - 54*d - 396 = 0.
-11, 2, 3, 6
Let x(w) be the first derivative of 13/24*w**3 + 5/4*w**2 - 128 - 15/16*w**4 + 9/40*w**5 + 1/2*w. Factor x(r).
(r - 2)**2*(3*r + 1)**2/8
Let k(z) be the second derivative of 3/5*z**2 - 1/15*z**4 + 1/100*z**5 + 1/30*z**3 - 2*z - 26. Determine m so that k(m) = 0.
-1, 2, 3
Factor -1/3*o**2 + 2 + 5/3*o.
-(o - 6)*(o + 1)/3
Let t(l) be the second derivative of -l**4/3 + 238*l**3/3 + 240*l**2 - 1400*l. Solve t(a) = 0 for a.
-1, 120
Let h(d) be the second derivative of d**5/100 - 31*d**4/30 - 21*d**3/10 + 6798*d. Factor h(g).
g*(g - 63)*(g + 1)/5
Let o(d) be the first derivative of -d**4/14 - 58*d**3/21 + 40*d**2 - 1184*d/7 + 1282. What is y in o(y) = 0?
-37, 4
Suppose 0 = -0*t + 37*t. Let u(d) be the second derivative of -11*d - 1/4*d**4 + t - 7/4*d**3 + 3*d**2. Factor u(r).
-3*(r + 4)*(2*r - 1)/2
Let r(m) be the third derivative of m**10/40320 - 3*m**8/8960 + m**7/1680 + 5*m**4/24 + 4*m**2. Let a(f) be the second derivative of r(f). Factor a(g).
3*g**2*(g - 1)**2*(g + 2)/4
Let x(c) = c**4 + 3*c**3 + 9*c**2. Suppose -14 = -8*z + 2. Let k be 41/(-3) - 2/6. Let r(b) = -b**4 - b**3 + b**2. Let u(l) = k*r(l) + z*x(l). Factor u(d).
4*d**2*(d + 1)*(4*d + 1)
Let g(h) be the first derivative of -h**3/15 - 56*h**2/5 + 708*h/5 + 117. Factor g(w).
-(w - 6)*(w + 118)/5
Let a be -13 + 2016/153 - (-1209)/663. Let 3/4*s**5 + 2/3 - 23/12*s**3 - 5/3*s**4 + 13/2*s**a - 13/3*s = 0. What is s?
-2, 2/9, 1, 2
Suppose -11*l = 77 - 88. Let b be l + 840/133 - 7. Factor 2/19*q**4 - 2/19*q + 6/19*q**2 - b*q**3 + 0.
2*q*(q - 1)**3/19
Let o(a) be the second derivative of a**5/80 + 7*a**4/24 + 25*a**3/24 + 3*a**2/2 + 1215*a. Determine y, given that o(y) = 0.
-12, -1
Let u(x) = 1. Let i(c) = -5*c**2 - 46*c - 10. Let k(p) = i(p) - u(p). Let z(m) = -m**2 - 9*m - 2. Let f(w) = -4*k(w) + 22*z(w). Factor f(j).
-2*j*(j + 7)
Let d(v) be the third derivative of -v**8/70560 + v**7/735 - 2*v**6/35 - v**5/30 + v**4/8 + 57*v**2. Let j(w) be the third derivative of d(w). Factor j(f).
-2*(f - 12)**2/7
Factor -4/3*m**3 - 16/3*m**2 + 5/3*m**4 + 32/3*m - 1/3*m**5 - 16/3.
-(m - 2)**3*(m - 1)*(m + 2)/3
Let c = 299137 + -299137. Let h be (12/10)/((-14)/(-10)). Let -h*n**2 + 12/7*n + c = 0. What is n?
0, 2
Let f(j) be the third derivative of 0*j**3 - 1/50*j**5 - 64*j**2 + j + 0 + 0*j**6 + 1/30*j**4 + 1/525*j**7. Suppose f(c) = 0. Calculate c.
-2, 0, 1
Determine d, given that -7921/7 + 178/7*d - 1/7*d**2 = 0.
89
Suppose 35*d - 435 = 6*d. Let f be 50/d*24/20. Let 9/5*p**2 - 9/5*p**3 + 0 - 3/5*p + 3/5*p**f = 0. What is p?
0, 1
Suppose 2*m = -4*p + 12, 4*m - 24 = 147*p - 144*p. Find v such that v**2 - 1/7*v**3 + 0 + p*v = 0.
0, 7
Let x(a) = -6*a**4 - 116*a**3 - 423*a**2 - 417*a - 132. Let v(p) = -5*p**4 - 77*p**3 - 282*p**2 - 278*p - 88. Let l(m) = 7*v(m) - 5*x(m). Factor l(r).
-(r - 11)*(r + 1)**2*(5*r + 4)
Suppose 0 = -3*j + 5841 - 5835. Let s = -164 - -168. Find f, given that -6/5*f + 0 - 6/5*f**s - 26/5*f**3 - 26/5*f**j = 0.
-3, -1, -1/3, 0
Suppose -10*u = -13*u - 54. Let p = 21 + u. Suppose 7*a**2 - 26*a**2 - 8*a**p + 4*a + 15*a**2 = 0. What is a?
-1, 0, 1/2
Suppose 14*t = 15*t + 3*q - 38, -6*t + 3*q = 24. Solve -3/5*z**t + 3/5*z**3 - 12/5*z + 12/5 = 0 for z.
-2, 1, 2
Suppose 5078*x = s + 5077*x - 2, s + 8 = -4*x. Suppose -108/7*n**2 + s + 3/7*n**3 + 972/7*n = 0. What is n?
0, 18
Solve 17/2*x**2 - 1/8*x**4 - 13/8*x**3 + 0*x + 0 = 0 for x.
-17, 0, 4
Let k be (-4 - 13/(-4))/9*(-702)/468. Factor 0*w + 0 + 3/8*w**2 + k*w**3.
w**2*(w + 3)/8
What is i in -4*i**2 - 19*i**3 - 3*i**4 - 42*i + 2*i**4 + 18*i + 11*i**3 + 14*i**3 + 32 = 0?
-2, 2, 4
Let k be (142/(-497))/(2/(-5726)). Let d = k - 809. Suppose d*b + 9 + 1/3*b**3 + 3*b**2 = 0. Calculate b.
-3
Determine i, given that 2/11*i**4 + 26520*i**2 + 1936000 + 1962400*i + 1322/11*i**3 = 0.
-220, -1
Let t = 5550596/7 + -792942. Let -t*h**3 + 4/7*h**4 + 0*h - 2/7*h**5 + 0*h**2 + 0 = 0. What is h?
0, 1
Let k(o) be the second derivative of -o**7/630 - 23*o**6/90 - 529*o**5/30 + 8*o**4 + 34*o. Let c(q) be the third derivative of k(q). Factor c(t).
-4*(t + 23)**2
Let q = 9461167/1455564 + -1/1455564. Factor q*z + 15 - 1/2*z**2.
-(z - 15)*(z + 2)/2
Let y(g) be the first derivative of 14*g - 1/4*g**4 - 153 + 27/2*g**2 + 4*g**3. Let y(i) = 0. Calculate i.
-1, 14
Let f(r) be the second derivative of -1/8*r**5 + 1/24*r**6 - 1/3*r**3 - 3 + 0*r**2 - 5/12*r**4 + 1/56*r**7 + 4*r. Determine m so that f(m) = 0.
-2, -1, -2/3, 0, 2
Suppose 14*g = 16*g + 5*w + 282, -2*w = 5*g + 705. Let d be 2 - 32/15 - g/470. Factor d*x**3 + 2*x + x**2 + 4/3.
(x + 2)**3/6
L