ose y(f) = 0. What is f?
-2, 0, 75
Let l(c) be the third derivative of -c**6/200 - c**5/4 + c**4/40 + 5*c**3/2 + 13*c**2 - 28*c. Factor l(w).
-3*(w - 1)*(w + 1)*(w + 25)/5
Let d = -33/244 - -2117/1220. Solve 8 - 16/5*r**3 - 6*r**2 + d*r - 2/5*r**4 = 0 for r.
-5, -2, 1
Let j(a) be the first derivative of -64 + 1/9*a**3 + 9409/3*a - 97/3*a**2. Determine g so that j(g) = 0.
97
Let b = -29116 + 29118. Factor -3/5*z + 0 - 27/5*z**3 + 18/5*z**b + 12/5*z**4.
3*z*(z - 1)**2*(4*z - 1)/5
Let u be -2 + 36732/18648 + 2/37. Let n(m) be the second derivative of 0 + 5*m - 6/7*m**2 + u*m**4 - 5/21*m**3. Let n(o) = 0. Calculate o.
-1, 6
Suppose -d + 32 = 9. Suppose -7*r + 47 = -d. Suppose 36*h**2 - 11*h**2 + 5*h**4 - 20*h**3 + h**4 - r*h - h**4 = 0. What is h?
0, 1, 2
Let h be 17/24 - (-24)/(-48). Let m(d) be the third derivative of 0 + 1/2*d**5 + 0*d + h*d**3 - 1/6*d**6 + 6*d**2 - 15/32*d**4. Solve m(i) = 0 for i.
1/4, 1
Let f(y) = -28*y**3 + 3672*y**2 - 4792*y + 8. Let s(r) = 19*r**3 - 2447*r**2 + 3195*r - 5. Let c(p) = -5*f(p) - 8*s(p). Suppose c(n) = 0. Calculate n.
0, 4/3, 100
Let k = -1486 + 1458. Let h be -1*63/k*1. Factor h*r**2 - 25/4*r - 3/2.
(r - 3)*(9*r + 2)/4
Suppose -23*c = -1985 + 1088. Let g(h) be the third derivative of -1/6*h**4 + c*h**2 + 0 - 1/30*h**6 - 4/15*h**5 + 0*h + 4*h**3. Determine i so that g(i) = 0.
-3, -2, 1
Let k(d) = -3*d + 3*d - 6436*d**2 + 6442*d**2 + 5*d + d. Let u be k(-1). Determine z, given that 0*z**2 + u + 2/7*z**3 + 0*z = 0.
0
Solve 1432/15 - 2/15*h**2 + 286/3*h = 0 for h.
-1, 716
Suppose 4*z - 4*f = 620, 5*z + 419 = -4*f + 1194. Solve -z*l**3 + 6*l**4 + 2*l + 141*l**3 + 6*l = 0.
-2/3, 0, 1, 2
Suppose -2*o = -3*y - 3 + 5, 0 = -5*y - 2*o + 14. Suppose 36*j**3 - 8*j**2 + 2*j**y - 9*j**4 - 15*j**3 = 0. What is j?
0, 1/3, 2
Let g(o) be the third derivative of -o**6/180 - 947*o**5/90 + 4*o**2 + 2173*o. Let g(x) = 0. What is x?
-947, 0
Let d(p) = 4*p**2 - 4*p + 6. Let o(m) = 2*m + 3. Let v(w) = -d(w) + 2*o(w). Let v(a) = 0. Calculate a.
0, 2
Let n(u) be the second derivative of -2*u + 21 - 4/7*u**3 - 1/28*u**4 + 0*u**2. Factor n(f).
-3*f*(f + 8)/7
Suppose -279 = -6*q - 261. Factor -4925 + 5*f**3 + 5*f - 6*f**q + f**2 + 4928.
-(f - 3)*(f + 1)**2
Let j(b) be the third derivative of -b**6/420 - 37*b**5/210 - 67*b**4/84 + 5*b**3 - 16*b**2 + 37. Solve j(s) = 0 for s.
-35, -3, 1
Let z be 69/(-20) - (-8)/(-60). Let f = z - -59/12. Factor -a - 1/3*a**2 + f.
-(a - 1)*(a + 4)/3
Let x(i) be the third derivative of -i**6/80 + 21*i**5/40 + 441*i**4/16 + 1715*i**3/4 - 2539*i**2. Factor x(t).
-3*(t - 35)*(t + 7)**2/2
Let n be (10/(-3080)*-55)/(30/189). Let -3/2 + 3/8*w**3 + 0*w + n*w**2 = 0. Calculate w.
-2, 1
Let j = 258 + -258. Let s(k) be the third derivative of 1/180*k**5 + 1/72*k**4 + 0*k**3 + j - 12*k**2 + 0*k. Factor s(b).
b*(b + 1)/3
Factor -266*w + 1758307 + 1205*w - 8055*w - 2484*w - 6366307 - 5*w**2.
-5*(w + 960)**2
Factor 16/9*x**3 + 32/9 + 100/9*x**2 + 152/9*x.
4*(x + 2)*(x + 4)*(4*x + 1)/9
Let a(x) be the second derivative of 1/40*x**5 + 0 + 0*x**2 + 3/16*x**4 + 17*x - 1/3*x**3 + 1/720*x**6. Let b(s) be the second derivative of a(s). Factor b(g).
(g + 3)**2/2
Let y(n) be the first derivative of -2*n**4 - 4/5*n**5 - 4/3*n**3 + 0*n + 0*n**2 + 28. Let y(x) = 0. Calculate x.
-1, 0
Factor -1802/13*i - 4/13 - 900/13*i**2.
-2*(i + 2)*(450*i + 1)/13
Let r be (-2)/(-6)*(-5*6/(-75))/(273/630). Determine n so that -r - 10/13*n - 2/13*n**3 - 8/13*n**2 = 0.
-2, -1
Factor -5/2*p**3 + 95/2*p**2 + 160*p + 110.
-5*(p - 22)*(p + 1)*(p + 2)/2
Let c(i) be the first derivative of i**5/50 + 47*i**4/40 - 127*i**3/15 + 78*i**2/5 - 5219. Suppose c(r) = 0. What is r?
-52, 0, 2, 3
Suppose -k - 16 = -16*p + 9*p, -3*k = 4*p - 2. Suppose -5*f - 13 = -4*a, -4*a + p = -f - 7. Factor 5/2*n - 5/3*n**a - 5/6*n**3 + 0.
-5*n*(n - 1)*(n + 3)/6
Suppose -3108*y = -3136*y + 112. What is w in 0 + 6*w**3 + 3*w + 15/2*w**2 + 3/2*w**y = 0?
-2, -1, 0
Let z(j) = -19*j**2 + 13*j + 8. Let c(y) = -82*y**2 + 53*y + 31. Let p(q) = -6*c(q) + 26*z(q). Solve p(t) = 0 for t.
-1, 11
Let t(b) be the first derivative of b**5/25 - 134*b**3/15 - 252*b**2/5 + 637*b/5 - 8639. Factor t(f).
(f - 13)*(f - 1)*(f + 7)**2/5
Let b be (-2)/19 - 54/(-513). Let n = -5 + 7. Solve b*i**2 - i**2 - 2*i - 4*i**n + 3*i**2 = 0.
-1, 0
Let p(y) be the first derivative of 9*y**6/2 + 222*y**5/5 + 615*y**4/4 + 240*y**3 + 174*y**2 + 48*y - 820. What is l in p(l) = 0?
-4, -2, -1, -2/9
Let r(g) be the third derivative of 0 + 2/75*g**6 - 1/525*g**7 + 0*g**3 + 1/150*g**5 + 4*g**2 - 2/15*g**4 + 3*g. Find h, given that r(h) = 0.
-1, 0, 1, 8
Let r(l) be the first derivative of -5*l**4/44 - 103*l**3/33 - 29*l**2/11 + 40*l/11 + 5697. Determine i, given that r(i) = 0.
-20, -1, 2/5
Let p(s) be the third derivative of -1/32*s**4 + 0*s + 1/480*s**6 + 0 + 17*s**2 + 0*s**5 + 11/2*s**3. Let n(h) be the first derivative of p(h). Factor n(a).
3*(a - 1)*(a + 1)/4
Determine k, given that 84*k**3 + 2*k**4 + 314*k - 207*k + 100*k + 441*k + 450*k**2 = 0.
-36, -3, 0
Let c be ((-323)/(-34) - 20)*(-4 + 26/7). Find h, given that 28/3*h**2 + 2/3*h**c - 64/3*h + 0 = 0.
-16, 0, 2
Let j be ((-164)/(-410))/((-2)/280). Let z be (-10)/(-4 + j)*(-596)/(-6). Factor z*w**2 + 35*w + 98/9 + 5/9*w**4 - 7*w**3.
(w - 7)**2*(w + 1)*(5*w + 2)/9
Let p(n) be the third derivative of n**6/360 - 723*n**5/20 + 1568187*n**4/8 - 1133799201*n**3/2 - 3394*n**2. Solve p(z) = 0.
2169
Let y(v) be the third derivative of v**5/30 + 1073*v**4/3 + 4605316*v**3/3 + 7082*v**2. Factor y(o).
2*(o + 2146)**2
Let t = 38576 - 38576. Let m(b) be the second derivative of t + 1/24*b**3 + 0*b**2 + 48*b - 1/48*b**4. Factor m(a).
-a*(a - 1)/4
Find i such that -215*i**4 - 42*i**5 - 449*i**2 - 279 - 1353*i**2 + 1460*i + 1260*i**3 - 96 + 2*i**5 - 288*i**2 = 0.
-75/8, 1
Let f(v) be the third derivative of v**6/40 - 7*v**5/5 + 139*v**4/8 + 84*v**3 + 514*v**2. Factor f(i).
3*(i - 21)*(i - 8)*(i + 1)
Suppose 3*d + 3 = -0, 2*i + d = 9. Let j(k) = k**3 - 4*k**2 - 6*k + 9. Let z be j(i). Let -4*a + z*a**2 + a + 5*a**4 - a**2 - 8*a**4 + 3*a**3 = 0. What is a?
-1, 0, 1
Suppose -4*d = 2*w + 10, 6*d + 2*w - 39 + 49 = 0. Solve -15/2*p + d*p**2 + 5/2*p**3 + 5 = 0 for p.
-2, 1
Let u(a) be the first derivative of a**6/16 + 9*a**5/40 + 9*a**4/32 + a**3/8 - 6793. Factor u(f).
3*f**2*(f + 1)**3/8
Let j(r) be the second derivative of -r**5/40 - 183*r**4/8 - 24653*r**3/4 + 383645*r**2/4 + 6997*r. Factor j(i).
-(i - 5)*(i + 277)**2/2
Let f(y) = -y**3 + 28*y**2 - 18*y + 504. Let t be f(28). Let m(z) be the third derivative of t*z + 0 - 1/3*z**3 - 20*z**2 - 1/4*z**4 - 1/15*z**5. Factor m(c).
-2*(c + 1)*(2*c + 1)
Suppose 5*y = 3*d + 7, -4*y - 163*d + 9 = -162*d. Let 2/15 - 2/15*l - 2/5*l**3 - 2/3*l**y = 0. What is l?
-1, 1/3
Let y(t) be the third derivative of t**7/180 + 19*t**6/360 + t**5/5 - t**4/4 - 2*t**3/3 + 90*t**2. Let k(w) be the second derivative of y(w). Factor k(s).
2*(s + 1)*(7*s + 12)
Let h = 746 - 744. Let j be 7/h + -2 - (-5 - -1). Solve -1/2*p**3 + 9/2*p**2 + 21/2*p + j = 0.
-1, 11
Let u be 4/(-36)*1*-3*(186 - 186). Let n(d) be the second derivative of -5/8*d**3 - 1/10*d**6 - 21/16*d**4 - 12*d - 9/10*d**5 + 0 + u*d**2. Factor n(o).
-3*o*(o + 5)*(2*o + 1)**2/4
Suppose 48 = 3*z + 30. Suppose -o = -h - 37, 0 = -3*h + z*h + 15. Factor 5*m**4 + 12 - o - m**2 + 83*m - 63*m + 16*m**2 - 20*m**3.
5*(m - 2)**2*(m - 1)*(m + 1)
Factor -22665187 - 851*g**4 - 23146570*g**2 + 4*g**5 + 241966*g**3 - 3*g**5 + 19122662*g + 26447979*g.
(g - 283)**3*(g - 1)**2
Let p = -4033 - -19896. Factor -15863 - b - b**2 + p.
-b*(b + 1)
Let r = 1/2552 + 159/1276. Let f(o) be the second derivative of -1/20*o**6 + 0*o**2 + r*o**4 + 1/4*o**3 - 24*o + 0 - 3/40*o**5. Determine p so that f(p) = 0.
-1, 0, 1
Let t(h) be the third derivative of h**6/540 + h**5/20 + 7*h**4/18 + 10*h**3 + 102*h**2. Let w(x) be the first derivative of t(x). Determine d so that w(d) = 0.
-7, -2
Let l(h) = h**2 + 4 - 4 + h. Let j(b) = -6*b**2 - 4*b + 2. Let z(m) = 7*m**2 + 2*m - 3. Let y(w) = -3*j(w) - 2*z(w). Let v(i) = 8*l(i) - y(i). Factor v(c).
4*c**2
Let b(h) be the first derivative of -4*h**6/3 - 2*h**5 + 11*h**4/2 + 46*h**3/3 + 13*h**2 + 4*h - 3651. Solve b(i) = 0.
-1, -1/4, 2
Let g = -14551 + 29745/2. Let j = g - 320. Factor 3/2*m**2 + 0 + j*m.