-5*b**3 - 33*b**2 - 60*b - 24. Let c(j) = l*t(j) - 5*d(j). Factor c(g).
-(g + 3)**2*(5*g + 3)
Let z(x) be the first derivative of 1/10*x**6 - 13*x - 4 + 9/20*x**5 - 3/2*x**3 + 1/4*x**4 - 3*x**2. Let p(t) be the first derivative of z(t). Factor p(n).
3*(n - 1)*(n + 1)**2*(n + 2)
Let u be 138/94185*987 + (-4)/(-26). Solve -u*r**2 + 48/5 - 58/5*r = 0.
-8, 3/4
Let s = 420/229 + 2404/687. Solve 0*c**2 - s*c**4 + 0*c - 4*c**5 + 16/3*c**3 + 0 = 0 for c.
-2, 0, 2/3
Let w be (14 - 13)/((1/4)/1). Let x(n) = n**3 + 6*n**2 + 5*n + 2. Let k be x(-5). Factor -97*q**w - 3*q**5 + 98*q**4 + k*q**5.
-q**4*(q - 1)
Let d(q) = -4*q + 102. Let b be d(25). Solve 240*s**b - 225*s - 298 + 298 - 64*s**3 = 0.
0, 15/8
Suppose 2*y + 7 = -3*l, -l - l - 13 = 3*y. Let j(s) = 65*s - 63. Let i be j(l). Let 0 + 2/5*h**4 + 4/5*h**i - 6/5*h**3 + 0*h = 0. What is h?
0, 1, 2
Suppose -3*j + 9 = 3*i, -5*i = 4*j - 6 - 9. Factor 51*d**i - 63*d**2 + 41 - 47 + 76*d**4 - 91*d**4 + 33*d.
-3*(d - 1)**3*(5*d - 2)
Determine f so that 26/3*f**3 - 2/3*f**4 + 0 - 98/3*f - 70/3*f**2 = 0.
-1, 0, 7
Let q(k) = -6*k**3 + 3*k**2 - 18*k + 18. Let f(z) = -z + 1. Suppose 5*u - 5 = 0, c - u + 73 = -3*c. Let m(r) = c*f(r) + q(r). Factor m(l).
-3*l**2*(2*l - 1)
Let q(z) = -244*z + 6107. Let c be q(25). Let n(s) be the third derivative of -c*s**2 + 0*s**3 + 0*s - 3/32*s**4 + 1/240*s**5 + 0. Determine k so that n(k) = 0.
0, 9
Let n(d) be the second derivative of -d**7/630 + d**6/20 + d**5/3 + 107*d**4/6 - 15*d - 3. Let v(k) be the third derivative of n(k). Factor v(i).
-4*(i - 10)*(i + 1)
Let r(p) be the first derivative of -28/3*p**3 - 88 - 3/5*p**5 - 23/4*p**4 + 0*p + 6*p**2. Factor r(s).
-s*(s + 2)*(s + 6)*(3*s - 1)
Suppose -40*x**2 - 23/2*x**3 - 38*x + 0 - 1/2*x**4 = 0. Calculate x.
-19, -2, 0
Let c(i) = i**2 - i + 1. Suppose 0*x + 1350 = 5*x. Let f(t) = 19 - 11*t**2 + 4*t - x - 68*t. Let v(b) = -6*c(b) - f(b). Let v(k) = 0. What is k?
-7
Let u(a) = 6*a**4 + 8*a**3 - 114*a**2 + 418*a - 365. Let p(z) = -3*z**4 - 2*z**3 + 57*z**2 - 208*z + 182. Let k(m) = -5*p(m) - 2*u(m). Factor k(j).
3*(j - 3)*(j - 2)**2*(j + 5)
Let d(x) be the second derivative of -4/11*x**3 - 8/11*x**2 + 1/11*x**4 + 0 - 1/55*x**6 + 12*x + 7/110*x**5. Suppose d(w) = 0. Calculate w.
-1, -2/3, 2
Suppose 0 = 1116*k - 324*k - 1584. Let t(l) be the second derivative of -41*l + 15/2*l**k - 3*l**3 + 0 + 1/4*l**4. Factor t(c).
3*(c - 5)*(c - 1)
Let y(o) be the second derivative of o**4/3 - 648*o**2 + 392*o + 2. Find x such that y(x) = 0.
-18, 18
Let l = -7100 - -127801/18. Let y(b) be the third derivative of 0*b + 5*b**2 + 1/180*b**5 + 0 + 0*b**4 - l*b**3. What is n in y(n) = 0?
-1, 1
Let w(n) be the first derivative of n**3/9 - n**2 - 40*n/3 + 1047. What is f in w(f) = 0?
-4, 10
Suppose 6*j - 4*r = 2, 4*j - r - 4 = r. Let t(u) be the third derivative of 0 + 1/12*u**5 + 5/24*u**4 + 35*u**2 + 0*u - 5/3*u**j. What is b in t(b) = 0?
-2, 1
Let p(k) be the third derivative of 55/12*k**5 + 44*k**2 + 5/42*k**7 + 55/6*k**4 + 10*k**3 - 2 + 0*k + 7/6*k**6. Factor p(n).
5*(n + 1)*(n + 2)**2*(5*n + 3)
Suppose 0 = -x - 2*u + 8, -5*u + 29 = x + 15. Let g be -5 - (24/(-48) + (-26)/x). Factor 2/9*j**3 - 2/9*j**g + 0 - 4/9*j.
2*j*(j - 2)*(j + 1)/9
Suppose -25*y + 28*y + 32*y = -15*y. Let g(x) be the second derivative of y - 5/72*x**4 - 5/12*x**3 - 15*x - 5/6*x**2. Factor g(t).
-5*(t + 1)*(t + 2)/6
Let q(l) = -2*l**2 + 25*l - 11. Let k be q(12). Let z = 8 - k. Factor -z - 1/7*w**2 + 2*w.
-(w - 7)**2/7
Suppose 1473*b = 1479*b - 12. Let p be (-55)/(-605) - b/22. Factor 0*l**3 + 0*l**2 + 0 + 1/2*l**5 + p*l + l**4.
l**4*(l + 2)/2
Suppose -26624*t - 54080 + 1036/5*t**2 - 2/5*t**3 = 0. What is t?
-2, 260
Let v(s) = 16*s**3 - 120*s**2 + 667*s - 1172. Let t(b) = -153*b**3 + 1140*b**2 - 6336*b + 11136. Let a(w) = -5*t(w) - 48*v(w). Factor a(c).
-3*(c - 12)*(c - 4)**2
Let a(y) be the third derivative of y**6/40 - 107*y**5/20 + 2535*y**4/8 - 17325*y**3/2 - 6*y**2 - 19*y - 3. Factor a(h).
3*(h - 77)*(h - 15)**2
Suppose 129 = -7*b + 31. Let j be (-2 + b - (-12)/3)/(-10). Solve -2/5*a - 6/5*a**3 - j*a**2 + 0 - 2/5*a**4 = 0.
-1, 0
Determine s so that -23/8*s**4 + 103/8*s**2 - 11/2 + 1/4*s**3 + 1/4*s**5 - 5*s = 0.
-2, -1/2, 1, 2, 11
Let y(d) be the third derivative of 0*d + 5*d**2 + 35/12*d**4 - 20/3*d**3 + 7 - 7/12*d**5 + 1/24*d**6. Determine q, given that y(q) = 0.
1, 2, 4
Suppose 8*k - 104 = 88. Let p = -16 + k. Find a such that p*a**4 + 2/3*a**3 + 8/3*a + 0 - 10/3*a**5 - 8*a**2 = 0.
-1, 0, 2/5, 1, 2
Let h(s) = s**5 + s**4 + 2*s**3 + s**2 + 1. Let b(l) = -31*l**5 + 2521*l**4 - 42692*l**3 - 1150*l**2 + 6. Let a(o) = -b(o) + 6*h(o). Factor a(z).
z**2*(z - 34)**2*(37*z + 1)
Let n(r) be the first derivative of r**4/20 + 44*r**3/5 + 897*r**2/2 + 1690*r - 338. Suppose n(d) = 0. What is d?
-65, -2
Determine w so that -1644968/3*w**2 + 28/3*w**5 + 500000/3 - 2368*w**4 + 463580/3*w**3 + 414000*w = 0.
-2/7, 2, 125
Find a such that -7/3*a + 1/6*a**2 + 20/3 = 0.
4, 10
Let g be ((-84)/(-98))/(6/28). Suppose -2 = -g*k - i + 2, 5*i = -20. Factor 2/13*a**k + 14/13*a**3 + 22/13*a**4 + 0 + 0*a + 10/13*a**5.
2*a**2*(a + 1)**2*(5*a + 1)/13
Factor 500*n - 5/6*n**2 - 75000.
-5*(n - 300)**2/6
Let l(j) = 2*j**2 + 1177*j + 6990. Let q be l(-6). Factor -3/2*c**2 + 27/2 + q*c.
-3*(c - 3)*(c + 3)/2
Let i(v) be the second derivative of v**5/120 - 13*v**4/18 - 7368*v + 1. Let i(x) = 0. Calculate x.
0, 52
Suppose 0 = -6*r - 0*r + 66. Let m(h) = -h + 14. Let j be m(r). Determine f so that 511*f**j - 514*f**3 - 5*f**4 + 2*f**4 = 0.
-1, 0
Let t(n) be the first derivative of -11*n**6/3 - 54*n**5/5 - 87*n**4/11 + 100*n**3/33 + 39*n**2/11 - 18*n/11 - 12459. Factor t(z).
-2*(z + 1)**3*(11*z - 3)**2/11
Find b, given that -28/11*b + 2/11*b**2 - 102/11 = 0.
-3, 17
Let f = -689 - -701. What is b in 3 - 9 - f*b**2 - 61185*b + 61201*b + 2*b**4 = 0?
-3, 1
Let w = 8 + -11/2. Suppose 347 + 11 - 100 + 348 = 202*m. Determine f, given that 2*f + w*f**2 + 0 - 3/4*f**m = 0.
-2/3, 0, 4
Suppose -78 + 133 = 5*f. Let -576 + 48*u - 34*u + 10*u**2 - f*u**2 + 34*u = 0. Calculate u.
24
Factor 822/5 - 3/5*n**2 - 819/5*n.
-3*(n - 1)*(n + 274)/5
Let r(a) be the third derivative of -a**8/1680 + 11*a**7/1050 - 7*a**6/100 + 7*a**5/30 - 53*a**4/120 + a**3/2 - 919*a**2. Determine q, given that r(q) = 0.
1, 3, 5
Let o = 727 + -726. Let c be 0*(44/8*o - 6). What is y in 12/7*y**3 - 4/7*y**2 + 0 + c*y = 0?
0, 1/3
Factor 99*s + 274*s - 166*s - 78756*s**2 + 78754*s**2 + 311*s.
-2*s*(s - 259)
Let b = -5/2169 - -1451/2169. Let v(m) be the second derivative of b*m**3 + 3*m**2 - 1/6*m**4 - 28*m + 0. Determine a, given that v(a) = 0.
-1, 3
Let o(y) be the first derivative of -7 + 15*y - 5/8*y**2 + 1/16*y**5 - 5/16*y**4 + 5/8*y**3. Let a(g) be the first derivative of o(g). Factor a(x).
5*(x - 1)**3/4
Factor -566/3*i + 1/3*i**2 + 80089/3.
(i - 283)**2/3
Let p = -392 + 394. Let a be 114*-6*1/(-126) + -5. Determine d, given that 9/7*d**p + 3/7*d**3 + 9/7*d + a = 0.
-1
Determine x, given that -6 + 18/11*x**2 + 2/11*x**3 - 50/11*x = 0.
-11, -1, 3
Let m = -143340 + 143345. Suppose 445/2*x**3 + 45*x + 0 + 25/2*x**m + 375/2*x**2 + 185/2*x**4 = 0. What is x?
-3, -1, -2/5, 0
Let k be 8*(-441)/210*((-508)/56 + 9). Solve -k*w**2 - 18/5*w + 2*w**3 + 0 - 2/5*w**4 = 0 for w.
-1, 0, 3
Let n(j) be the third derivative of -2 - 125/24*j**4 + 0*j + 66*j**2 + 1/42*j**7 + 35/12*j**5 - 11/24*j**6 + 0*j**3. Factor n(k).
5*k*(k - 5)**2*(k - 1)
Let w = 1129347 - 1129345. Suppose -16/11*y**w + 2/11*y**4 - 14/11*y**3 + 0*y + 0 = 0. What is y?
-1, 0, 8
Let d(v) be the second derivative of 0 + 0*v**4 + 44*v + 1/50*v**5 + 2/5*v**2 - 1/5*v**3. Factor d(w).
2*(w - 1)**2*(w + 2)/5
Solve 4*s**4 + 16468218*s + 51984 + 48551*s**2 - 16571274*s + 1613*s**2 + 904*s**3 = 0 for s.
-114, 1
Suppose -4*s = 7*t - 3*t - 8, 3*t = 5*s - 26. Suppose -s*v - 4*c + 26 = -2*v, 16 = v - c. Factor -v*m**2 - 4*m**3 + 18*m**2 + 7*m**3.
3*m**2*(m + 1)
Let t be (5/(150/372))/(8/720). Suppose 1140*i - 96 = t*i. Factor 0 + h**i + 1/2*h - 1/2*h**5 - h**2 + 0*h**3.
-h*(h - 1)**3*(h + 1)/2
Let v(i) = -i**2 - 11*i - 42. Let g be v(-7). Let n be (4/g)/((-30)/210). Find t such that 65*t + 5 + 845/4*t**n = 0.
-2/13
Let x(u) = -u**2 + 50*u + 18699. Let n be x(-114). What is i in 0*i + 0 + 2/3*i**4 - 10/3*i**n + 2*i**