pose 0 = 12*r - 9*r + 27. Let o = -5 - r. Suppose -4*w**4 - 5*w**2 + 0*w + 7*w**2 + 2*w**2 - 4*w**3 + o*w = 0. What is w?
-1, 0, 1
Let v(i) be the second derivative of i**6/105 - 6*i**5/35 + 29*i**4/42 + 2*i**3 - 1072*i. Find q such that v(q) = 0.
-1, 0, 6, 7
Suppose 980*o - 107*o**3 + 0 - 3/2*o**5 - 71/2*o**4 + 1414*o**2 = 0. Calculate o.
-14, -2/3, 0, 5
Let m(z) be the third derivative of z**6/420 + 466*z**5/35 + 217156*z**4/7 + 809557568*z**3/21 + 5*z**2 - 17*z. Factor m(x).
2*(x + 932)**3/7
Factor -13098*p**2 + 332*p**3 - 56440*p + 10276 - 4342 - 2*p**4 - 63734.
-2*(p - 85)**2*(p + 2)**2
Let a(z) = z**2 + 520*z - 2623. Let n be a(5). Let p(w) be the third derivative of -8/3*w**3 + 0*w + 1/3*w**4 - 1/60*w**5 + 32*w**n + 0. Factor p(m).
-(m - 4)**2
Let f be (3*(-3)/12)/(231945/280). Let g = f - -6635/8836. What is w in -3/2*w**3 + g*w**4 + 0*w + 3/4*w**2 + 0 = 0?
0, 1
Let r(f) be the second derivative of -f**5/220 - 89*f**4/66 - 7921*f**3/66 - 1411*f. Factor r(i).
-i*(i + 89)**2/11
Let l(f) = -45*f**2 - 379*f + 6866. Let v(b) = -5*b**2 - 42*b + 763. Let k(n) = 2*l(n) - 19*v(n). Suppose k(o) = 0. Calculate o.
-17, 9
Let o(t) be the second derivative of t**6/50 - 129*t**5/100 + 41*t**4/10 + 973*t. Factor o(j).
3*j**2*(j - 41)*(j - 2)/5
Let a(n) be the first derivative of -n**4/12 + 10*n**3/3 - 50*n**2 + 14*n - 83. Let x(d) be the first derivative of a(d). Factor x(y).
-(y - 10)**2
Let a(z) be the first derivative of 12*z**5/55 + 417*z**4/22 + 1176*z**3/11 + 573*z**2/11 - 1560*z/11 + 2575. Suppose a(y) = 0. What is y?
-65, -4, -1, 1/2
Let a = -307 + 337. Let h be ((0 + 2)/8)/(a/120). Factor -h - 1/4*k**2 + k.
-(k - 2)**2/4
Let d(f) = f**4 + f**3 - f**2 + f - 1. Let b(l) = -6*l**4 - 13*l**3 - 84*l**2 - 283*l - 245. Let w(a) = -b(a) - 7*d(a). Factor w(y).
-(y - 14)*(y + 2)*(y + 3)**2
Let v be 21/(-504)*-4*18. Let y(c) be the second derivative of -17*c - 13/5*c**v - 4/5*c**4 + 0 - 3/50*c**5 - 18/5*c**2. Determine a so that y(a) = 0.
-6, -1
Let y = -7388 + 22171/3. Let v(c) be the first derivative of -y*c**3 + 4*c - 1/4*c**4 + 18 + 1/6*c**6 + 3/5*c**5 + 0*c**2. Factor v(p).
(p - 1)**2*(p + 1)*(p + 2)**2
Let v(g) be the third derivative of -g**7/210 + 17*g**6/24 - 41*g**5/10 + 20*g**2 + 15. Solve v(d) = 0 for d.
0, 3, 82
Suppose 2976 = 3*a + 3*b, -5*a + 2*b + 4968 = 5*b. Let l = -994 + a. Factor 1/3*c**3 + 2/3*c**l - 7/3*c + 4/3.
(c - 1)**2*(c + 4)/3
Let m(c) be the third derivative of c**7/280 - 9*c**6/160 - 41*c**5/40 - 15*c**4/4 + 1093*c**2 - 2*c - 2. Factor m(u).
3*u*(u - 15)*(u + 2)*(u + 4)/4
Factor -336/5*b + 4/5*b**3 - 128 + 0*b**2.
4*(b - 10)*(b + 2)*(b + 8)/5
Solve -315*w**5 + 97620*w**3 - 46345*w**4 + 4960*w + 90146*w**2 + 8075*w**4 - 132266*w**2 = 0 for w.
-124, 0, 2/9, 2/7, 2
Let s(a) be the third derivative of 0 - 1/5*a**5 - 1/12*a**4 + 0*a**3 - 29*a**2 - 1/60*a**6 + 0*a + 8/35*a**7 - 2/21*a**8. Let s(b) = 0. Calculate b.
-1/4, 0, 1
Let i be -1 + (-8)/((-1280)/156). Let j = 3/8 - i. Solve 2/5*y**4 + 4/5*y**3 - j*y**2 + 0 - 4/5*y = 0 for y.
-2, -1, 0, 1
Suppose 7*u + 8 = 6*u + 3*p, 4*u = 5*p - 60. Let l = 24 + u. Factor 9*h**5 - 76*h**2 + 0*h - 64*h**l + 28*h - 4 - 28*h**3 + 128*h**3 + 7*h**5.
4*(h - 1)**3*(2*h - 1)**2
Let m(c) be the first derivative of 42 - 2/3*c**3 - 18*c + 3*c**2 - 1/6*c**4. Let v(r) be the first derivative of m(r). Find q such that v(q) = 0.
-3, 1
Let s(f) be the third derivative of -f**6/660 + 47*f**5/330 + 4*f**4/11 + f**2 - 313*f. Suppose s(i) = 0. Calculate i.
-1, 0, 48
Let -536/11*s**4 + 30/11*s**5 + 888/11*s**3 + 0 + 128/11*s**2 + 0*s = 0. Calculate s.
-2/15, 0, 2, 16
Let u(f) be the third derivative of -13/108*f**4 - 1/540*f**6 + 61*f**2 - 4/135*f**5 + 0 + 0*f - 2/9*f**3. Factor u(a).
-2*(a + 1)**2*(a + 6)/9
Let c = -392935 - -392937. What is o in -14/5*o**c + 0 - 12/5*o = 0?
-6/7, 0
Let q(y) be the first derivative of -y**6/72 - 11*y**5/36 + 5*y**4/6 + 19*y**2 + 112. Let a(x) be the second derivative of q(x). Factor a(n).
-5*n*(n - 1)*(n + 12)/3
Let w(j) be the third derivative of 4/35*j**7 + 33/20*j**5 + 27/40*j**6 - 14*j**2 + 0 + 17/8*j**4 + 0*j + 3/2*j**3. Suppose w(f) = 0. Calculate f.
-1, -3/8
Let x(n) = -203*n + 1233. Let l be x(6). Let u(d) be the first derivative of -1/2*d**2 - l + 0*d + 5/6*d**3 + 7/8*d**4. Solve u(c) = 0.
-1, 0, 2/7
Let z(q) be the first derivative of -q**5/10 + 91*q**4/8 + 140*q**3/3 + 47*q**2 + 10873. Factor z(y).
-y*(y - 94)*(y + 1)*(y + 2)/2
Let w(b) be the second derivative of -b**7/70 - 108*b**6/25 - 35631*b**5/100 - 11449*b**4/10 - 11*b + 3. Factor w(o).
-3*o**2*(o + 2)*(o + 107)**2/5
Let g(i) be the second derivative of i**5/5 - 22*i**4 + 598*i**3/3 + 732*i**2 + 11*i - 8. Factor g(a).
4*(a - 61)*(a - 6)*(a + 1)
Suppose 4*a - 5 = 3. Let o be ((-4)/9)/((-288)/(-3888)) - 82/(-13). Factor o - 2/13*u**a + 2/13*u.
-2*(u - 2)*(u + 1)/13
Let c(k) = 3*k**4 - k**3 + k**2 - k + 2. Let p(l) = -55*l**4 + 20*l**3 - 1625*l**2 - 12080*l - 10540. Let m(r) = 20*c(r) + p(r). Factor m(d).
5*(d - 21)*(d + 1)*(d + 10)**2
Let b = -82 + 82. Let t be (2 - b)/(-3 - (-5 + 1)). Let 79*w - t*w**3 + 6*w**2 - 70*w + 3*w**3 - 4*w**3 = 0. What is w?
-1, 0, 3
Let m = 3779/2 + -1889. Let a(t) be the first derivative of -4*t**2 - m*t**4 + 1/6*t**6 + 3/5*t**5 - 4*t**3 + 0*t + 6. Factor a(r).
r*(r - 2)*(r + 1)*(r + 2)**2
Let 1/7*g**2 + 0 + 54/7*g = 0. Calculate g.
-54, 0
Let h be ((6/14)/(-1))/((-2010)/23450). Let w(b) be the first derivative of -1/10*b**4 + 4 + 4/15*b**3 + 1/5*b**2 - 3/5*b - 1/25*b**h. Factor w(c).
-(c - 1)**2*(c + 1)*(c + 3)/5
Let u = -3400813/17 - -200049. Factor 0 - u*w**2 + 2/17*w**3 - 22/17*w.
2*w*(w - 11)*(w + 1)/17
Let j(h) be the third derivative of -h**5/300 - h**4/15 - 7*h**3/30 + 22*h**2 - 12. Factor j(u).
-(u + 1)*(u + 7)/5
Suppose 13 = 4*u - w, 5*u - 5*w = 2 + 3. Let m be (-1365)/270 + 6 + (-2)/u. What is c in 10/9*c**4 - 8/9*c + 2/3*c**3 - m*c**5 - 16/9*c**2 + 0 = 0?
-1, -1/2, 0, 2
Let k be (-1925)/(-6468) + (-8)/(-672)*-4. Factor k*m**2 + 1/2 + 3/4*m.
(m + 1)*(m + 2)/4
Let h(k) be the first derivative of 171 - 32/27*k**3 + 40/3*k**2 - 50*k. Factor h(b).
-2*(4*b - 15)**2/9
Let h = -36 - -45. Let b be (-6)/(-27) + (35/h)/5. Suppose 4 + 25*f**2 - 3*f**3 + 2 - b - 20*f - 7*f**3 = 0. Calculate f.
1/2, 1
Let y be (-1015)/(-315) - 5*(-6 - (-4 - 1)). Determine g so that 0 - 4/3*g**5 + y*g**4 - 52/3*g**3 - 16/9*g + 40/3*g**2 = 0.
0, 1/6, 2
Suppose 70*h + 42 = 84*h. Factor -4784*x + 6 + 4796*x + 6 + h*x**2.
3*(x + 2)**2
Let q(c) = -230*c**3 - 39528*c**2 + 86*c. Let d(y) = -8*y**3 - 1363*y**2 + 3*y. Let i(x) = 172*d(x) - 6*q(x). Let i(w) = 0. Calculate w.
-683, 0
Let u be 783/348*8/30. Let a be 0*1*3/(-12)*-4. What is f in a + 3/5*f - u*f**2 = 0?
0, 1
Factor -560 - 1325 - 6*x**2 - 176*x + 3*x**2 - 70*x - 3158.
-3*(x + 41)**2
Let n(l) be the second derivative of l**6/2 - 21*l**5/20 - 39*l**4/2 - 34*l**3 + 60*l**2 - 4291*l. Factor n(g).
3*(g - 5)*(g + 2)**2*(5*g - 2)
Let b be 0 + -10 - (-9 + 3). Let f be 3*b/(-12) + (-4 - -3). Factor 2/11*z - 2/11*z**2 + f.
-2*z*(z - 1)/11
Suppose -4*v + 10 = c + 1, -5*c + 24 = -v. Factor -40*n + 23*n + 3*n**2 + c*n.
3*n*(n - 4)
Let l = 138862 + -138687. Let q(m) = 5*m**2 - m - 2. Let w be q(-2). Factor l*t**2 + 110*t + 125/2*t**3 + w.
5*(t + 2)*(5*t + 2)**2/2
Factor 518*k - 643*k - 595*k - 178*k - 2*k**3 - 164*k**2 - 14*k.
-2*k*(k + 6)*(k + 76)
Let i(y) be the second derivative of y**5/60 - 209*y**4/12 + 625*y**3/9 - y - 746. Determine s so that i(s) = 0.
0, 2, 625
Find m, given that 3/5 - 3/5*m**2 + 6/5*m**3 - 6/5*m = 0.
-1, 1/2, 1
Let c(p) = -2*p**2 - 142*p - 131. Let h(n) = -n**2 - n - 3. Let o = -348 - -351. Let x(y) = o*h(y) + c(y). Let x(f) = 0. Calculate f.
-28, -1
Let n(h) be the second derivative of -5*h**6/6 - 177*h**5/4 + 50*h**4 + 1090*h**3/3 + 360*h**2 + 115*h - 2. Let n(d) = 0. What is d?
-36, -1, -2/5, 2
Let t be (-3)/9 - 1*70/(-200). Let q(a) be the second derivative of t*a**4 + 0 - 15*a - 1/5*a**2 - 1/30*a**3. Factor q(z).
(z - 2)*(z + 1)/5
Let c(j) = 7*j**3 - 30*j**2 + 9*j + 28. Let m(r) = -6*r**3 + 28*r**2 - 10*r - 29. Let p(g) = -5*c(g) - 6*m(g). Suppose p(q) = 0. What is q?
-1, 2, 17
Let c(f) be the third derivative of -f**7/42 - 101*f**6/12 + 51*f**5 - 1535*f**4/12 + 1025*f**3/6 - 8*f**2 - 10. Suppose c(p) = 0. What is p?
-205, 1
