 the first derivative of -2*s**3/33 + 59*s**2/11 - 116*s/11 - 349. Factor x(k).
-2*(k - 58)*(k - 1)/11
Suppose 9*f + 26*f = 105. Factor -4/3*i - 2/9 - 8/3*i**2 - 20/9*i**f - 2/3*i**4.
-2*(i + 1)**3*(3*i + 1)/9
Let r be (-5)/150 - 3/(-36). Let h(u) be the third derivative of r*u**6 - 1/15*u**5 + 5*u**2 + 0*u + 0*u**3 - 1/105*u**7 + 0*u**4 + 0. Factor h(f).
-2*f**2*(f - 2)*(f - 1)
Let j be ((-180)/100)/(3/(-32)). Let -j*k - 2/5*k**3 + 26/5*k**2 + 72/5 = 0. What is k?
1, 6
Let m(v) be the second derivative of -v**4/90 - 28*v**3/5 - 5292*v**2/5 + 711*v. Factor m(k).
-2*(k + 126)**2/15
Let p be 8 + (-45)/5 - (-1 - -3). Let z be (150/(-54) - p)/((-2)/(-6)). Suppose -1/3*j**2 + 0 + z*j**3 + 0*j - 1/3*j**4 = 0. What is j?
0, 1
Let x(y) = -y - 7. Let v be x(-5). Let n be v/5 + (-28)/(-45). Factor 8/9 + n*c**2 + 8/9*c.
2*(c + 2)**2/9
Let n be (-6)/(-27) - (-5525)/1989. Suppose 3328/7*r**2 + 62/7*r**4 - 704/7*r**n - 2/7*r**5 - 4096/7*r - 8192/7 = 0. What is r?
-1, 8
Let x(s) be the first derivative of s**8/2100 + s**7/525 - s**5/75 - s**4/30 + 3*s**3 + 16. Let t(i) be the third derivative of x(i). Factor t(b).
4*(b - 1)*(b + 1)**3/5
Suppose 0 = -s - 22 + 6. Let v be 90/1020*s/(-6). Find w, given that v*w + 6/17*w**2 + 2/17*w**3 + 0 = 0.
-2, -1, 0
Suppose 3*u - 35 = -20. Let m(n) be the third derivative of -1/360*n**6 + 0 - n**2 - 1/30*n**u + 0*n - 4/9*n**3 - 1/6*n**4. Factor m(k).
-(k + 2)**3/3
Suppose 1/4*m**2 + 31/4 - 8*m = 0. Calculate m.
1, 31
Let j = -297 + 299. Let k be (1/j)/(12/12)*0. Solve 2/7*f**2 + 0*f + k = 0 for f.
0
Let s(w) be the first derivative of 2/3*w**3 + 3 + 0*w**2 - 1/2*w**4 + 0*w - 2/5*w**5 + 1/3*w**6. Suppose s(c) = 0. Calculate c.
-1, 0, 1
Let t(s) be the first derivative of -1/210*s**5 + s**2 + 2 + 0*s**3 + 0*s + 0*s**4. Let i(a) be the second derivative of t(a). Factor i(c).
-2*c**2/7
Let m(y) = 4*y**4 - 43*y**3 - 143*y**2 - 163*y - 67. Let l(x) = 3*x**4 - 21*x**3 - 72*x**2 - 81*x - 33. Let j(r) = -5*l(r) + 3*m(r). Solve j(n) = 0 for n.
-3, -2, -1
Let s = 5/427 + 8/61. Let t(d) be the first derivative of 5 + s*d**2 - 1/14*d**4 + 8/21*d**3 - 8/7*d. Factor t(n).
-2*(n - 4)*(n - 1)*(n + 1)/7
Factor 18299 - 18229 + 4*z**2 - 19*z - 3*z**2.
(z - 14)*(z - 5)
Suppose 4 = 3*f - 5. Let a(i) = 3*i**3 - i**2 + 2*i - 4. Let d(r) = 2*r**3 - r**2 + 3*r - 3. Let x(u) = f*a(u) - 4*d(u). Find l, given that x(l) = 0.
-3, 0, 2
Let n(z) = -6*z**3 - 24*z**2 - 21*z - 4. Let a(b) = -b**3 + b**2 + b. Suppose -3*o = -12, -o = -q + 4*o - 24. Let w(d) = q*a(d) - 4*n(d). Factor w(v).
4*(v + 1)*(v + 2)*(7*v + 2)
Let m(w) = 0*w**3 + 0*w**4 + 2*w**3 - 5*w - 4 + w**4. Suppose 10*u + 67 = -33. Let t(z) = 2*z**4 + 4*z**3 - 9*z - 7. Let b(h) = u*m(h) + 6*t(h). Factor b(l).
2*(l - 1)*(l + 1)**3
Let o(h) be the second derivative of -h**5/16 + 85*h**4/24 + 175*h**3/24 + h - 92. Find x such that o(x) = 0.
-1, 0, 35
Factor 23/3*f + 8 - 1/3*f**2.
-(f - 24)*(f + 1)/3
Let y(u) be the third derivative of -u**7/1050 + u**6/120 + 13*u**5/300 + 7*u**4/120 - 5*u**2 + u. Find s such that y(s) = 0.
-1, 0, 7
Let z(w) be the second derivative of w**4/27 + 118*w**3/27 - 40*w**2/3 - 208*w + 1. Factor z(m).
4*(m - 1)*(m + 60)/9
Suppose 5*d - 5*y - 5 = 0, y = 3*d + 1 + 4. Let c be 3/(d/3*(-6 - -4)). Let 0 - 3/2*r**5 - 9/2*r**3 - 9/2*r**4 - c*r**2 + 0*r = 0. What is r?
-1, 0
Solve 31/3*x**3 + 1/3*x**4 + 224/3*x**2 - 256/3*x + 0 = 0.
-16, 0, 1
Let h(j) = 10*j**2 + 20*j + 74. Let o(b) = 4*b**2 - 2*b + 1. Let q(w) = -h(w) + 2*o(w). Factor q(p).
-2*(p + 6)**2
Let z(w) be the first derivative of -14 - 2/3*w**3 - 450*w - 30*w**2. Factor z(f).
-2*(f + 15)**2
Suppose 11*n - 2 = 10*n. Let h be 0 - -1 - (n - 3). Suppose 5*y**h + 3*y + 7*y - 1 - 8 - 6 = 0. What is y?
-3, 1
Let p be ((-36)/8 - -4)*2/(-4). Let d = 0 + p. Suppose -d*l**4 + 0*l + 0 - 1/4*l**2 + 1/2*l**3 = 0. What is l?
0, 1
Determine f, given that 0 + 183/5*f**3 + 6/5*f - 189/5*f**2 = 0.
0, 2/61, 1
Let g(u) = 985*u**3 - 1770*u**2 - 765*u + 170. Let i(y) = 58*y**3 - 104*y**2 - 45*y + 10. Let j(r) = -2*g(r) + 35*i(r). Factor j(m).
5*(m - 2)*(2*m + 1)*(6*m - 1)
Determine h so that 7*h**5 + 33*h**5 - h**4 - 18*h + h**3 + 6*h**4 - 21*h**2 - 39*h**5 = 0.
-3, -1, 0, 2
Let q(b) be the second derivative of -b**6/6 + 5*b**5/2 - 65*b**4/12 - 50*b**3 - 90*b**2 + 84*b. Solve q(l) = 0 for l.
-1, 6
Suppose s + 2 = -1. Let k be (1 + (-8)/4)*s. Factor 0*j - 1/4*j**5 + 1/4*j**k + 0*j**2 + 0*j**4 + 0.
-j**3*(j - 1)*(j + 1)/4
Let j(i) be the third derivative of 1/96*i**4 + 0 + 0*i + 1/480*i**5 + 0*i**3 + 11*i**2. Determine v so that j(v) = 0.
-2, 0
Suppose 0 + 6 = -3*s. Let f be (2 - s) + 2/(-1). Suppose 3*n**f - 3 - 6*n + 6 + 0 = 0. What is n?
1
Factor 47/5*u - 3*u**2 + 1/5*u**3 + 63/5.
(u - 9)*(u - 7)*(u + 1)/5
Suppose 0 + 0*q - 1/4*q**5 + 1/4*q**4 - 1/4*q**2 + 1/4*q**3 = 0. What is q?
-1, 0, 1
Let f = 149 + -145. Let r(q) be the third derivative of -1/10*q**5 + 7/240*q**6 + q**2 + 0*q + 1/6*q**3 + 0 + 1/16*q**f. Suppose r(b) = 0. Calculate b.
-2/7, 1
Let k(n) = 2*n**3 + 11*n**2 - 8*n - 12. Let c be k(-6). Let l(g) be the first derivative of 0*g + 3 + 0*g**3 - 1/2*g**4 + 2/5*g**5 + c*g**2. Factor l(r).
2*r**3*(r - 1)
Let i be (-2 - (-210)/75)/((-2)/(-5)). Solve -8/3*w - i*w**2 + 4/3*w**3 + 8/3 + 2/3*w**4 = 0.
-2, 1
Let d(k) be the second derivative of 0 + 0*k**2 + 0*k**3 - 1/126*k**7 + 1/45*k**6 + 0*k**4 + 16*k + 1/20*k**5. Factor d(l).
-l**3*(l - 3)*(l + 1)/3
Solve 10*i**5 + 5*i**5 + 15*i**4 + 0*i**4 - 5*i**4 + 30*i**2 - 7*i**3 - 88*i**3 = 0.
-3, 0, 1/3, 2
Let q(l) = l**3 - 16*l**2 + 30*l - 27. Let v be q(14). Let n be 0/(v*(-2 - -4 - 3)). Factor 21/5*f**4 + 0 + n*f**2 - 3*f**5 - 6/5*f**3 + 0*f.
-3*f**3*(f - 1)*(5*f - 2)/5
Let b(g) be the first derivative of -2/3*g**3 + 14 - 1/2*g**5 + 13/8*g**4 - g**2 + 0*g. Determine p so that b(p) = 0.
-2/5, 0, 1, 2
Let t be -4 + 6/(-2) + 3. Let a = t - -6. Suppose -5*d**4 - 26*d**5 + 27*d**5 + 5*d**4 - 2*d**2 - d + a*d**4 = 0. Calculate d.
-1, 0, 1
Let g(z) = -48*z**3 + 92*z**2 - 120*z + 76. Suppose -12 = 2*p - 6. Let j(t) = -13*t**2 + 0 - 2*t - 11 + 7*t**3 + 19*t. Let c(w) = p*g(w) - 20*j(w). Factor c(b).
4*(b - 2)*(b - 1)**2
Suppose -9*m = -235 - 17. Let l = 30 - m. Factor 0 + 2/13*a**l - 2/13*a.
2*a*(a - 1)/13
Let 54/7 + 33/7*t + 3/7*t**2 = 0. Calculate t.
-9, -2
Let v = 122 + -120. Let y(o) be the first derivative of 0*o + 7 - 1/36*o**6 + 1/9*o**3 + 1/12*o**v + 0*o**4 - 1/15*o**5. Find n such that y(n) = 0.
-1, 0, 1
Let m be (-2 - -31)/58 + 0 + (-14)/(-4). What is c in -65/4*c**2 - 95/4*c**3 + 95/4*c + 15/2 + 35/4*c**m = 0?
-1, -2/7, 1, 3
Suppose 52*l**2 - 72/7*l + 0 + 176/7*l**3 = 0. What is l?
-9/4, 0, 2/11
Let w be 12 + -18 + 6 + (-1)/(-28). Let d(f) be the second derivative of 0 + 1/4*f**4 - 3/8*f**5 - 8*f + 0*f**3 - w*f**7 + 1/5*f**6 + 0*f**2. Factor d(p).
-3*p**2*(p - 2)*(p - 1)**2/2
Let f be (14/(-4) + 4)/(1/8). Suppose c = 2*n, n - f*c = c - 9. Factor 1/2*o - 1/2*o**3 - n + o**2.
-(o - 2)*(o - 1)*(o + 1)/2
Let u = 43143 - 474571/11. Factor 12/11*l**2 + 16/11*l - u*l**4 + 0*l**3 + 6/11.
-2*(l - 3)*(l + 1)**3/11
Let v be (7 - 10*74/105)*-48. Factor 10/7*f**2 + 8/7 + v*f + 2/7*f**3.
2*(f + 1)*(f + 2)**2/7
Let w be (-6)/(-9) - (-2)/(-6). Let g = 1571 + -1569. Factor w*t - 1/3*t**3 + 1/6*t**g - 1/6.
-(t - 1)*(t + 1)*(2*t - 1)/6
Determine z, given that -10/3*z**3 - 10 + 10/3*z + 65/6*z**2 - 5/6*z**4 = 0.
-6, -1, 1, 2
Let q(y) = y - 9. Let x be (-8 - 2)/(-1) + 3. Let t be q(x). Find o, given that -o**4 + o**t - 4*o**4 + o + 5*o**4 - o**2 - o**3 = 0.
-1, 0, 1
Suppose 2*b + 3*w = 9, 0 = -3*b + 5*w + 3 + 1. Suppose 13 = 5*i - 2*m, 0 = -b*m + m + 2. Solve -i*r**3 - 3*r**2 + 4*r**3 + 5*r**2 + r**3 = 0.
-1, 0
Let r(o) be the second derivative of 0 - o**2 - 38*o - 1/3*o**3 + 1/8*o**4. Solve r(k) = 0.
-2/3, 2
Let t(b) be the first derivative of -b**7/441 + b**5/105 - b**3/63 - 20*b - 26. Let h(s) be the first derivative of t(s). Factor h(y).
-2*y*(y - 1)**2*(y + 1)**2/21
Let j = 11 - 33. Let l = -20 - j. Factor 2/7*x**l + 0*x + 0.
2*x**2/7
Let h = -4/377 - -521/13572. Let m(b) be the second derivative of 0 - 1/3*b**2 + 1/18*b**3 + 6*b + h*b**4. Factor m(v).
(v - 1)*(v + 2)/3
Let i(y) = -12*y**3 - 24*y**2 - 24*y - 6. Let j(l) = -l**4 - 25*l**3 - 49*l**2 - 47*l - 12. Let n(s) = 5*i(s) - 3*j(s). Factor n(c).
3*(