ose 65*y - 61*y + 8 = 2*u, 0 = -4*u - 5*y + 16. Solve 0*h**2 + 1/2*h + 0 - h**3 + 1/2*h**5 + 0*h**u = 0 for h.
-1, 0, 1
Let b(q) = -14*q - 11. Let p be b(-1). Let t(y) be the first derivative of -1/6*y**p + 0*y - 1/4*y**2 - 5. Determine s so that t(s) = 0.
-1, 0
Let v(o) be the third derivative of -o**5/120 - 7*o**4/48 + 3*o**3/2 - o**2 - 68*o. Suppose v(c) = 0. What is c?
-9, 2
Let j be (27/(-135)*(-4)/16*0)/(-1). Factor 2/7*o + j + 0*o**2 - 2/7*o**3.
-2*o*(o - 1)*(o + 1)/7
Let b(z) = -3*z**2 + 3*z - 4. Let v be (-27)/(-18)*(-5 - 1). Let c be 30/v - (-4)/(-6). Let a(i) = -7*i**2 + 7*i - 9. Let l(m) = c*a(m) + 9*b(m). Factor l(k).
k*(k - 1)
Let r(d) be the third derivative of d**8/1344 + d**7/840 - d**6/240 - d**5/120 + d**4/96 + d**3/24 - 56*d**2. Factor r(p).
(p - 1)**2*(p + 1)**3/4
Let s(k) = 3*k**2 + 978*k - 78738. Let p(z) = -8*z**2 - 1958*z + 157478. Let u(j) = -3*p(j) - 7*s(j). What is w in u(w) = 0?
162
Let y(i) be the first derivative of 2*i**3/9 + 4*i**2 + 22*i/3 + 283. Find r, given that y(r) = 0.
-11, -1
Suppose 0 = p - 5*i + 17, 13 = 2*i + 5. Factor -b**2 - 59*b**3 + 60*b**p + 0*b**2 + 1 - b.
(b - 1)**2*(b + 1)
Let d(f) be the third derivative of -f**8/224 - 5*f**7/84 - 53*f**6/240 + 3*f**5/40 + 7*f**4/6 + 4*f**3/3 + 2*f**2 + 13. Determine k so that d(k) = 0.
-4, -1, -1/3, 1
Let t(l) be the first derivative of -l**4/22 - 14*l**3/33 + 28*l**2/11 - 40*l/11 - 456. Factor t(j).
-2*(j - 2)*(j - 1)*(j + 10)/11
Let 0 + 10/7*b**2 + 2/7*b**3 - 4*b = 0. What is b?
-7, 0, 2
Solve 0 + 1/5*q**3 - 11/5*q**2 + 0*q = 0 for q.
0, 11
Let r(o) = -o**2 - 4*o + 77. Let b be r(7). Let n(s) be the first derivative of 0*s - 3*s**6 + 0*s**3 + s**4 + 6/5*s**5 + b*s**2 + 10. Solve n(g) = 0.
-1/3, 0, 2/3
Factor 40/7*m + 4/7*m**2 + 36/7.
4*(m + 1)*(m + 9)/7
Let a(l) be the second derivative of 0 + 1/36*l**4 + 1/3*l**3 + 0*l**2 - 1/60*l**5 + 25*l. Suppose a(y) = 0. What is y?
-2, 0, 3
Let i(f) = -2*f**2 + 8*f - 5. Let q = 58 + -31. Let j(w) = -q*w + 20*w + w**2 - 4 + 8. Let x(t) = -4*i(t) - 5*j(t). Let x(p) = 0. What is p?
-1, 0
Let i(v) be the first derivative of v**5/30 + 7*v**4/4 + 49*v**3/2 - 894. Find c such that i(c) = 0.
-21, 0
Find p, given that -98/9*p**3 + 0*p + 0*p**2 + 0 + 2/9*p**4 = 0.
0, 49
Let d(p) = 20*p + 382. Let m be d(-19). Let i = 243 + -709/3. Solve m*s**2 - i*s - 16/3 = 0.
-2/3, 4
Let s(c) = 7*c**4 - 30*c**3 + 21*c**2 + 94*c + 72. Let d(z) = -30*z**4 + 120*z**3 - 85*z**2 - 375*z - 290. Let p(v) = -6*d(v) - 25*s(v). Factor p(r).
5*(r - 2)*(r + 1)**2*(r + 6)
Let p(n) = -2*n**2 + 46*n + 2. Let b be p(23). Let f(j) be the first derivative of -7 - 3/8*j**4 - 3/2*j + 3/4*j**b + 1/2*j**3. Factor f(h).
-3*(h - 1)**2*(h + 1)/2
Let a(n) be the second derivative of -7/4*n**4 + 0 + 2*n**3 - 8*n - 6/7*n**2. Factor a(k).
-3*(7*k - 2)**2/7
Let y = -5956 - -41712/7. Factor y*t - 18/7 - 2/7*t**2.
-2*(t - 9)*(t - 1)/7
Let a be 324/120 - (-5)/((-250)/(-15)). Factor 1/7*o**a - 1/7*o - 3/7*o**2 + 3/7.
(o - 3)*(o - 1)*(o + 1)/7
Let y(p) be the second derivative of -p**5/90 - 7*p**4/36 + 8*p**3/9 - 11*p**2 - 32*p. Let z(u) be the first derivative of y(u). Let z(i) = 0. Calculate i.
-8, 1
Factor 174 + 14*z**2 - 33*z**2 - 29*z - 15*z**2 - 81*z - 2*z**3 - 28*z**2.
-2*(z - 1)*(z + 3)*(z + 29)
Suppose 7*y - 4 = 3*y. Let q(g) be the first derivative of 1/6*g**3 - 1/2*g**2 - y - 1/10*g**5 + 0*g + 1/4*g**4. Factor q(n).
-n*(n - 2)*(n - 1)*(n + 1)/2
Let y = -47 + 189/4. Let f = 3061 + -6121/2. Factor y*d**3 - 3/4*d + 0*d**2 + f.
(d - 1)**2*(d + 2)/4
Suppose -4*h + c + 17 = 0, 5*c + 23 = 2*h - 8. Factor -x**4 - 5*x**3 - 4*x**4 - 2*x**h + 5*x**2 + 10*x - 3*x**3.
-5*x*(x - 1)*(x + 1)*(x + 2)
Let d(k) = -3*k. Let s be d(-4). Factor 3*g**3 + 12*g - s*g**2 - 21*g + 18*g.
3*g*(g - 3)*(g - 1)
Let b(u) = -7*u**2 - 280 + 0*u**4 - 9*u + 288 + 9*u**4 + 9*u**3. Let t(s) = 13*s**4 + 13*s**3 - 11*s**2 - 13*s + 12. Let l(q) = 7*b(q) - 5*t(q). Factor l(j).
-2*(j - 1)**2*(j + 1)*(j + 2)
Suppose -20*q + 63 = -3*q + 4*q. Factor i - 1/3*i**4 - 1/3*i**2 + 2/3 - i**q.
-(i - 1)*(i + 1)**2*(i + 2)/3
Let z(r) be the first derivative of -1/6*r**4 - 4/15*r**2 + 0*r + 1 + 2/75*r**5 + 16/45*r**3. Find s, given that z(s) = 0.
0, 1, 2
Let g(d) be the first derivative of d**7/1050 + d**6/200 + d**5/300 - d**4/40 - d**3/15 + 15*d**2 - 33. Let r(f) be the second derivative of g(f). Factor r(s).
(s - 1)*(s + 1)**2*(s + 2)/5
Find t, given that 30 - 30*t**2 + 46*t**3 + 5*t - 22*t**3 - 29*t**3 = 0.
-6, -1, 1
Suppose 116*z = 105*z + 22. Let g(x) be the second derivative of 0*x**z + 1/60*x**6 - 3*x - 1/24*x**4 + 1/40*x**5 + 0 - 1/12*x**3. Factor g(a).
a*(a - 1)*(a + 1)**2/2
Let l(z) be the third derivative of -z**8/112 + 3*z**7/70 + 9*z**6/40 + z**5/4 + 238*z**2. Find q, given that l(q) = 0.
-1, 0, 5
Let k(l) be the third derivative of l**6/900 - l**5/225 - l**4/180 + 2*l**3/45 + 2*l**2 + 27. Factor k(x).
2*(x - 2)*(x - 1)*(x + 1)/15
Let s(d) be the third derivative of d**7/490 - 13*d**5/140 + 3*d**4/14 + 2*d**2 - 290*d. Let s(a) = 0. What is a?
-4, 0, 1, 3
Let l = -164 - -163. Let x be (-1480)/(-275) + l - 2/11. Solve x*f - 6/5 - 3*f**2 = 0 for f.
2/5, 1
Let s(y) = 17*y**4 + 15*y**3 - 2*y**2 - 2*y. Let n(l) be the second derivative of l**3/6 - 5*l. Let d(f) = 4*n(f) + 2*s(f). Let d(r) = 0. What is r?
-1, 0, 2/17
Let r = 17116/15001 - -4/2143. Factor -r*a + 8/7 + 2/7*a**2.
2*(a - 2)**2/7
Let d(y) be the first derivative of 2*y**3/27 + 2*y**2 + 64*y/9 - 298. Determine b so that d(b) = 0.
-16, -2
Let j(w) = 8*w**3 + 1219*w**2 + 47394*w + 46203. Let v(m) = -4*m**3 - 610*m**2 - 23700*m - 23102. Let i(k) = 2*j(k) + 5*v(k). Solve i(o) = 0 for o.
-76, -1
Let j(i) = 9*i**3 + 120*i**2 + 139*i. Let s(w) = -26*w**3 - 348*w**2 - 418*w. Let m(h) = 14*j(h) + 5*s(h). Let m(y) = 0. What is y?
-12, -3, 0
Let w(g) = -g**2 - 9*g - 6. Let f be w(-8). Suppose d**f + 2*d + 20 - 38 + 18 = 0. Calculate d.
-2, 0
Determine p so that -p**5 - 5041*p**2 - 9480*p - 852 - 1000*p**3 - 77*p**4 - p**5 - 2748 = 0.
-15, -4, -1/2
Suppose 10 = b - 2*t, 0 = 4*b + b + 2*t - 14. Suppose -8 = -3*m + b. Let 0*s**4 + s - 2*s**5 + 6*s - 4*s**4 - 5*s + m*s**2 = 0. What is s?
-1, 0, 1
Factor -4/7*a**2 - 3/7*a - 1/7*a**3 + 0.
-a*(a + 1)*(a + 3)/7
Factor 7*s - 1250 - 45*s - 62*s - 3*s**2 + s**2.
-2*(s + 25)**2
Factor 20*w**3 + 0 - 21/2*w**2 + w.
w*(5*w - 2)*(8*w - 1)/2
Factor -3*i**2 - 32*i - 7*i + 8*i - 29*i + 63.
-3*(i - 1)*(i + 21)
Let i(o) be the first derivative of -49*o**4/4 + 175*o**3/3 - 44*o**2 + 12*o + 53. Suppose i(d) = 0. What is d?
2/7, 3
Let z(f) be the first derivative of -4*f**3/3 + 4*f**2 + 32*f + 74. Factor z(g).
-4*(g - 4)*(g + 2)
Let g = 104 - 101. Factor -3 - 848*d**3 + 4*d**4 + 36*d**2 + g + 872*d**3.
4*d**2*(d + 3)**2
Let d(b) be the first derivative of 1/2*b**2 - 1/10*b**5 + 1/2*b**4 + 0*b - 5/6*b**3 + 1. Find h such that d(h) = 0.
0, 1, 2
Let x(v) be the third derivative of v**7/630 - v**6/90 - 11*v**5/30 + 35*v**4/18 + 1225*v**3/18 - 13*v**2 - 2. Let x(k) = 0. Calculate k.
-5, 7
Suppose -5*z - 4 = 3*z - 20. Factor 2/5*o**z - 48/5*o + 288/5.
2*(o - 12)**2/5
Let t(a) be the first derivative of a**6/30 + a**5/5 + a**4/3 + 35*a**2/2 - 2*a + 5. Let i(s) be the second derivative of t(s). Factor i(k).
4*k*(k + 1)*(k + 2)
Let i(p) be the first derivative of p**6/270 + 4*p**5/135 - p**4/18 - 4*p**3/3 + 9*p**2 - 20. Let t(q) be the second derivative of i(q). Factor t(g).
4*(g - 2)*(g + 3)**2/9
Let w(p) be the second derivative of 3*p**5/50 - p**4/10 + p**3/15 - 6*p**2 - 23*p. Let j(n) be the first derivative of w(n). Factor j(x).
2*(3*x - 1)**2/5
Let n be (-100)/120*(-52)/130. Let 2/3*d**5 + n - 2/3*d**2 + 8/3*d**3 - 2/3*d - 7/3*d**4 = 0. What is d?
-1/2, 1
Let y(g) be the third derivative of -g**9/15120 - g**8/2240 - g**7/1260 - 7*g**4/12 - 10*g**2. Let n(z) be the second derivative of y(z). Factor n(t).
-t**2*(t + 1)*(t + 2)
Let i(o) be the third derivative of 2*o**7/105 - 2*o**6/15 + o**5/3 - o**4/3 + 87*o**2 + 2*o. Factor i(d).
4*d*(d - 2)*(d - 1)**2
Let r(g) = -349*g + 1047. Let q be r(3). Factor q - 70/17*y**2 - 2/17*y**4 - 22/17*y**3 - 50/17*y.
-2*y*(y + 1)*(y + 5)**2/17
Suppose -3*x - 12 = -6*x. Suppose k = x*k - 12. Find f such that k*f**2 - 3*f**2 - 3*f**2 + 5*f**2 = 0.
0
Let g(o) = -18*o**3 - 16*o**2 + 14*o + 36. Let k(z) = 5