- 120)*(k - 2)/2
Let a be (11 + -3)*(-6)/4. Let t be (2 + 0)*(0 - a/8). Solve -12/5 + 12*o**5 + 147/5*o**2 - 186/5*o**t - 9/5*o**4 + 0*o = 0.
-2, -1/4, 2/5, 1
Let c = 2 - -1. Let b be (-87630)/(-7475) + (-748)/110. Factor 2/13*w**4 - b*w - 16/13*w**c + 48/13*w**2 + 32/13.
2*(w - 2)**4/13
Let x(v) be the first derivative of -v**5/20 + 21*v**4/16 + 323*v**3/6 - 3548. Determine h so that x(h) = 0.
-17, 0, 38
Let l(w) be the second derivative of w**4/3 - 116*w**3/3 + 624*w**2 - 2434*w. Factor l(i).
4*(i - 52)*(i - 6)
Let j(l) be the second derivative of 140/3*l**3 - 150*l**2 + 0 + 395/12*l**4 - 1/2*l**6 - 216*l - 10*l**5. Find r such that j(r) = 0.
-15, -1, 2/3, 2
Let i(a) be the first derivative of a**4/18 - 88*a**3/27 + 28*a**2/3 - 5867. Let i(q) = 0. Calculate q.
0, 2, 42
Let k(a) = 859*a**2 + 4911*a + 71. Let t(h) = 171*h**2 + 982*h + 14. Let v(s) = -2*k(s) + 11*t(s). Factor v(m).
(m + 6)*(163*m + 2)
Let a(g) = 3*g - 104. Let w be 300/10 + (2/2 - -5). Let h be a(w). Factor -2/9*b**5 + 2/3*b**3 + 0 + 4/9*b - 10/9*b**2 + 2/9*b**h.
-2*b*(b - 1)**3*(b + 2)/9
Let c be -2*(30 + -37 - (-77)/14). Factor 4/3*v**c - 16/3*v**2 - 8/3 + 20/3*v.
4*(v - 2)*(v - 1)**2/3
Let a(u) be the third derivative of u**8/1680 + u**7/210 - u**6/45 - 109*u**4/12 - 33*u**2. Let g(r) be the second derivative of a(r). Factor g(p).
4*p*(p - 1)*(p + 4)
Let r be -4*4/16 + (-6674)/(-14). Let g = 478 - r. Determine f, given that -g*f**2 + 0*f - 2/7*f**3 + 0 = 0.
-8, 0
Suppose j = -4*c + 443, -2*c + 218 = -2*j + 6*j. Factor 69*q**3 + 249*q**2 - 432*q - 2*q**4 + c*q**2 + 5*q**4.
3*q*(q - 1)*(q + 12)**2
Let a(g) be the third derivative of 0 + 1/6*g**4 + 13/60*g**6 + 0*g**3 - 4/105*g**7 + 0*g + 12*g**2 - 11/30*g**5. Determine b so that a(b) = 0.
0, 1/4, 1, 2
Determine q, given that -8/19*q**4 - 36/19*q**2 + 158/19*q - 36/19 - 78/19*q**3 = 0.
-9, -2, 1/4, 1
Factor -85/3*x**4 + 1/3*x**5 - 3780*x**2 + 742*x**3 - 66600*x + 216000.
(x - 30)**3*(x - 3)*(x + 8)/3
Let d = -401 + 403. Factor 193*b + d*b**2 - 46 - 390*b + 241*b.
2*(b - 1)*(b + 23)
Suppose -1294/17*i**2 - 384/17*i**3 - 38/17*i**4 - 144/17 - 1500/17*i = 0. Calculate i.
-4, -3, -2/19
Let i = -369 + 373. Factor -912*w + i*w**2 - 88*w + w**2 + 62780 - 12780.
5*(w - 100)**2
Let d(q) be the third derivative of 0 + 0*q + 1/54*q**4 + 32*q**2 - 1/270*q**5 - 1/27*q**3. Factor d(o).
-2*(o - 1)**2/9
Let p = -110 - -112. Factor -972*v**4 + 0*v + 3*v - 177*v**3 + 1257*v**3 - 73*v**p - 38*v**2.
-3*v*(v - 1)*(18*v - 1)**2
Let i(y) be the second derivative of y**5/20 - 295*y**4/12 + 4*y + 2. Find k, given that i(k) = 0.
0, 295
Let b(k) = 7*k**2 + 389*k + 753. Let s be b(-2). What is c in -1/3*c**3 - 5/3*c**2 - c + s = 0?
-3, 1
Factor 1/3*w**2 - 47 - 44/3*w.
(w - 47)*(w + 3)/3
Let n(q) be the third derivative of q**8/336 - 2*q**7/15 + 13*q**6/60 + 7*q**5/15 - 9*q**4/8 - 142*q**2. Factor n(c).
c*(c - 27)*(c - 1)**2*(c + 1)
Let x be 1/((-13)/(-34) - (-14)/119). Factor -5*z**2 + 6*z**3 - 7*z**2 + 15*z**4 + x + 6*z**5 - 5 - 10*z - 2*z + 0*z**5.
3*(z - 1)*(z + 1)**3*(2*z + 1)
Let y(d) be the third derivative of d**6/40 + 91*d**5/20 + 33*d**4 - 625*d**2 - 2*d. Factor y(s).
3*s*(s + 3)*(s + 88)
Let y(g) = 4339*g - 8676. Let k be y(2). Determine z so that -14/17*z + 12/17 + 2/17*z**k = 0.
1, 6
Let o(c) be the third derivative of c**3 - 1/8*c**4 - 1/20*c**5 + 0 + 0*c - 79*c**2. Suppose o(j) = 0. Calculate j.
-2, 1
Let u = 455910 - 911819/2. Let 1/4*l + u*l**2 + 1/4*l**3 + 0 = 0. Calculate l.
-1, 0
Suppose 5*m = -5*r + 4090, 5*m + 3*r - 4102 = 4*r. Let q be (-10 + m/90)/(-4). Factor 0*p**2 - 4/9 + 2/3*p - q*p**3.
-2*(p - 1)**2*(p + 2)/9
Let w(l) be the second derivative of -7*l**5/100 - 13*l**4/20 + 4*l**3/5 + 59*l**2/2 - 10*l - 1. Let y(p) be the first derivative of w(p). Factor y(k).
-3*(k + 4)*(7*k - 2)/5
Let x be 1989/884 - 1/((-260)/375). What is b in -x*b + 94/13*b**2 - 22/13*b**4 + 46/13*b**3 + 2/13*b**5 - 72/13 = 0?
-1, 1, 6
Solve -496*c**2 + 502 + 527 + 730 + 70*c**3 - 536*c - 1567 = 0 for c.
-6/5, 2/7, 8
Let v(y) = y**3 - 9*y**2 + 7*y - 49. Let o be v(9). Determine w so that -22*w**5 + 54*w**5 - 14*w**5 + 8*w**3 - 12*w**4 - o*w**5 = 0.
0, 1, 2
Let o = -8754 + 236359/27. Let x(i) be the second derivative of o*i**3 + 0 + 9*i + 2/3*i**2 - 1/54*i**4. Factor x(u).
-2*(u - 3)*(u + 2)/9
Let t(q) be the third derivative of -1/180*q**5 - 1/2*q**3 + 0*q + 1/12*q**4 + 1 + 58*q**2. Factor t(y).
-(y - 3)**2/3
Let s(x) = -2636*x - 166065. Let f be s(-63). Suppose 0 - 1/8*b**f - 1/2*b - 5/8*b**2 = 0. What is b?
-4, -1, 0
Let d = -376 - -384. Factor 2*p**3 + 5*p**2 - 46 + 38 - 3*p**2 - d*p.
2*(p - 2)*(p + 1)*(p + 2)
Let t(r) = -r**2 + 9*r + 6. Let u be t(15). Let q = u - -86. Solve -2/5 - 14/5*l**q + 6/5*l**3 + 2*l = 0 for l.
1/3, 1
Let q(u) be the third derivative of 25/9*u**3 + 0 - 102*u**2 + 55/36*u**4 + 1/1260*u**7 + 11/360*u**6 + 47/120*u**5 + 0*u. Factor q(j).
(j + 1)**2*(j + 10)**2/6
Factor -8 - 2/7*b**2 + 22/7*b.
-2*(b - 7)*(b - 4)/7
Let j(c) be the first derivative of -2*c**5/105 + 25*c**4/42 - 388*c**3/63 + 608*c**2/21 - 64*c + 1805. Suppose j(v) = 0. What is v?
3, 4, 14
Suppose 0*v**3 - 1/4*v**5 + 0*v + 0 - 15/4*v**4 + 125*v**2 = 0. Calculate v.
-10, 0, 5
Let k(h) = h**3 - 19*h**2 + 136*h + 146. Let d(o) = -5*o**3 + 80*o**2 - 545*o - 585. Let m(j) = -4*d(j) - 18*k(j). Factor m(n).
2*(n - 8)*(n + 1)*(n + 18)
Let p(m) = -m**2 + 5*m + 14. Let d be p(5). Let n be 50/d + -8*(-7)/(-98). Factor 0*r**2 + 5/3*r**4 + 5/6*r - 1/2*r**5 - 1/3 - 5/3*r**n.
-(r - 1)**4*(3*r + 2)/6
Let m(k) be the second derivative of -k**4/24 - 23*k**3/4 + 395*k**2/2 + 71*k - 25. Solve m(u) = 0 for u.
-79, 10
Suppose 180 = 3*k + 165. Suppose -2*b + k*b = -o + 7, 2*o = b. Solve -3/2*g**3 - 9/2*g**4 + 33/2*g**b - 18*g + 3/2*g**5 + 6 = 0.
-2, 1, 2
Let n(j) = -1921*j - 7684. Let w be n(-4). Suppose -4/7*z**4 - 2/7*z + w + 0*z**3 + 4/7*z**2 + 2/7*z**5 = 0. What is z?
-1, 0, 1
Let c(w) = -w**2 + w - 2. Let a be -2 - (-5)/(4 - -1). Let r(p) = 4*p**2 + 26*p + 30. Let k(z) = a*r(z) - 2*c(z). Let k(b) = 0. Calculate b.
-13, -1
Let j be -90 + 101 - 8*1. Let w be (-8)/18*42/(-28). Solve -2/3 + w*n**2 - 2*n + 2*n**j = 0.
-1, -1/3, 1
Suppose 1805*f = 1234 + 3322 - 946. Let 74/3*t + f*t**2 + 8 = 0. What is t?
-12, -1/3
Let b(n) be the first derivative of -n**4/3 + 1048*n**3/9 - 174*n**2 + 9025. Factor b(c).
-4*c*(c - 261)*(c - 1)/3
Let i(v) = v**3 + 12*v**2 - 14*v + 3. Let p be i(-13). Suppose -p*u + 10*u + 30 = 0. What is f in 15 + u*f + f**2 + 21 - 9*f - 8*f = 0?
6
Let t(r) be the third derivative of r**8/56 + 9*r**7/70 + 11*r**6/40 - r**4/2 + 3179*r**2. Determine z so that t(z) = 0.
-2, -1, 0, 1/2
Let o(j) be the third derivative of -j**5/12 - 95*j**4/12 + 205*j**3/2 + 1432*j**2. Factor o(q).
-5*(q - 3)*(q + 41)
Let p(o) be the second derivative of o**4/12 - 329*o**3/3 + 108241*o**2/2 + 52*o + 5. Suppose p(u) = 0. What is u?
329
Let r(i) = 18*i**2 + 98*i - 38. Let y = -26 - 15. Let z = 35 + y. Let m(x) = -17*x**2 - 97*x + 37. Let b(l) = z*m(l) - 5*r(l). Factor b(a).
4*(a + 8)*(3*a - 1)
Suppose 3*i - 4*o - 132 - 17 = 0, -5*i - 5*o = -190. Let y = -40 + i. Factor -1483*d**3 - 230*d - 2911*d**y + 33*d - 115*d + 2028*d**2 + 16.
-2*(13*d - 2)**3
Solve -11*x**3 - x + x - 176263*x**4 + 176264*x**4 - 60*x**2 = 0.
-4, 0, 15
Let d = 12865 - 12862. Let p(q) be the second derivative of 11/36*q**4 + 1/90*q**6 - 1/3*q**d - 1/10*q**5 + 0 - 18*q + 0*q**2. Let p(w) = 0. Calculate w.
0, 1, 2, 3
Let a(u) be the second derivative of -u**6/270 + 17*u**5/180 + 79*u**4/108 + 103*u**3/54 + 7*u**2/3 + 1462*u. Solve a(m) = 0 for m.
-2, -1, 21
Suppose -d = -2*p - 2*d + 788, -3*d = p - 384. Solve 315 + 512*m**4 - 128*m**3 - 183*m**5 + 32*m**3 - 73*m**5 + 351*m - p - 432*m**2 = 0 for m.
-1, 3/4
Let q(c) be the second derivative of -21*c - 1/6*c**4 - 3/50*c**5 + 1/75*c**6 + 0 + 4/5*c**2 + 1/5*c**3. Factor q(n).
2*(n - 4)*(n - 1)*(n + 1)**2/5
Let k = 142 + -144. Let f(c) = -c**4 - c**3 - c. Let g(r) = 36*r**4 - 6*r**3 - 10*r**2 + 42*r - 8. Let z(i) = k*g(i) - 36*f(i). Find p, given that z(p) = 0.
-1, 2/3, 1
Let p(f) be the third derivative of f**8/84 - 7*f**6/30 - 2*f**5/5 + 6160*f**2. Factor p(d).
4*d**2*(d - 3)*(d + 1)*(d + 2)
Suppose 42*q - 73*q = 27*q - 116. Find z such that -2*z**q - 22/5*z - 4/5 = 0.
-2, -1/5
Let 