78*s**5/95 + 1521*s**4/19 + 79092*s**3/19 + 2313441*s**2/19 - 2*s - 39. Solve u(b) = 0.
-39
Let r(h) be the second derivative of 1/120*h**6 + 1/16*h**4 - 3/80*h**5 + 0 + 15*h + 0*h**2 - 1/24*h**3. Let r(d) = 0. Calculate d.
0, 1
Let -2/11*m**3 + 0 + 28/11*m**2 + 0*m = 0. Calculate m.
0, 14
Let k(d) = 87*d + 16. Let h be k(-7). Let b = h - -6529/11. Let 46/11*r + b + 80/11*r**2 - 32/11*r**3 = 0. Calculate r.
-1/4, 3
Let b = 23 + -57/2. Let c = -29/6 - b. Solve 0*u - 2/3*u**3 - c*u**2 + 0 = 0.
-1, 0
Let s(k) = k - 7. Let u be s(10). Let p(o) be the third derivative of 0*o + 2*o**2 + 0 + 1/96*o**4 + 1/240*o**5 + 0*o**u. Find t such that p(t) = 0.
-1, 0
Let w = -25 + 29. Let t be ((4 + w)/2)/(4/2). Factor 0 - 1/6*l - 1/6*l**t.
-l*(l + 1)/6
Let b(g) be the third derivative of -g**9/12096 - g**8/1008 - 5*g**7/1008 - g**6/72 - 3*g**5/20 - g**2. Let o(t) be the third derivative of b(t). Factor o(a).
-5*(a + 1)**2*(a + 2)
Let v(w) = 2*w**2 - 2*w - 10. Let o(a) = 25*a**2 - 25*a - 120. Suppose 140 = -11*d + 7*d. Let m(l) = d*v(l) + 3*o(l). Factor m(h).
5*(h - 2)*(h + 1)
Suppose -5*d - 6*i + 3*i = -205, -2*i = 0. Suppose 31*c - d*c - 6*c**2 - 9*c**2 = 0. Calculate c.
-2/3, 0
Let p(y) = -y + 30. Let h(x) = -91. Let k(b) = 2*h(b) + 7*p(b). Let s be k(4). Factor s + 0*d**2 - 8/3*d + 2/3*d**3.
2*d*(d - 2)*(d + 2)/3
Let k(r) = 46*r**4 + 385*r**3 + 303*r**2 + 60*r + 3. Let y(c) = -c**4 - c + 1. Let v(s) = -k(s) + 3*y(s). Suppose v(g) = 0. Calculate g.
-7, -3/7, 0
Let k = -36 - -39. What is a in -3*a**3 - 18*a + 12*a**2 - a**k + 38*a + 8 - 4*a**4 = 0?
-1, 2
Suppose -6*j + 0*j + 30 = 0. Suppose 0 = -2*d + 2 - 8, j*l = -d + 7. Solve -1/3*i**3 + 1/3 + 1/3*i - 1/3*i**l = 0 for i.
-1, 1
Suppose 2*t - 2*j = 0, t + 6 = 5*t - j. Factor 2 - 2 - t*p**4 + 93*p**5 + p**3 - 92*p**5.
p**3*(p - 1)**2
Let z(n) be the second derivative of -169*n**7/42 + 91*n**6/20 + 109*n**5/40 - 2*n**4 + n**3/3 - 58*n. Find i, given that z(i) = 0.
-1/2, 0, 2/13, 1
Let f(r) = r**3 - 14*r**2 + 44*r + 32. Let m be f(8). What is h in m*h**3 - 2/21*h**5 + 0*h**4 + 0 + 0*h + 0*h**2 = 0?
0
Suppose 7 = -2*u - 2*u + 3*a, -5 = -5*u + a. Suppose -5*x**3 - 4*x**4 + 2 - 8*x**2 - u - 7*x**3 = 0. Calculate x.
-2, -1, 0
Let k(f) = f**2 - 32*f + 211. Let x be k(9). Determine n so that 4/3*n**2 + 2/3*n**x + 0*n + 0 - 2*n**3 = 0.
0, 1, 2
Let p(w) be the first derivative of 0*w + 0*w**2 - 3/5*w**5 + 3/4*w**4 + w**3 - 1/2*w**6 + 1. Solve p(m) = 0 for m.
-1, 0, 1
Let d(z) be the first derivative of -128*z**5/15 - 1768*z**4/3 + 1784*z**3/3 - 671*z**2/3 + 112*z/3 + 685. Factor d(h).
-2*(h + 56)*(4*h - 1)**3/3
Factor 7*i**3 - 2*i**3 + 0*i**2 + 3 - i**3 + i - 3*i**2 - 5*i**3.
-(i - 1)*(i + 1)*(i + 3)
Let l(x) = 2*x**2 - 2*x - 1. Let p(i) = -i**4 + 4*i**3 - i**2 - 6*i + 3. Let v(d) = -2*l(d) + 2*p(d). Factor v(m).
-2*(m - 2)**2*(m - 1)*(m + 1)
Let m(i) be the third derivative of 0*i - 3/2*i**3 - 16*i**2 + 1/8*i**4 - 1/40*i**6 + 3/20*i**5 + 0. Factor m(b).
-3*(b - 3)*(b - 1)*(b + 1)
Let z(n) be the third derivative of -1/1260*n**7 + 1/18*n**4 - 1/360*n**6 + 1/120*n**5 + 0 + 1/9*n**3 - 17*n**2 + 0*n. Let z(h) = 0. What is h?
-2, -1, 2
Suppose -40/7*n + 96/7 + 4/7*n**2 = 0. What is n?
4, 6
Suppose 218 + 767 = 3*s + c, -4*s - 3*c + 1310 = 0. What is r in 4 - 334*r**2 + s*r**2 - 5*r**3 + 5*r + 1 = 0?
-1, 1
Let d be ((-6)/10)/(4/288*-6*3). Solve 14/5 + d*a - 2/5*a**2 = 0 for a.
-1, 7
Let k = -14/103 - -17018/927. Let a = k + -18. Find n, given that 0*n**2 + a*n + 0 - 2/9*n**3 = 0.
-1, 0, 1
Let j(n) = -n + 45. Let s be j(45). Determine k, given that 0 + 1/4*k**2 + s*k = 0.
0
Let p(d) = -24*d**3 + 20*d**2 + 20*d - 36. Let x(u) = -57 - 25*u**3 - 9*u + 20 + 69*u**2 + 30*u - 50*u**2 - u**4. Let f(b) = -5*p(b) + 4*x(b). Solve f(w) = 0.
-1, 2
Let h(x) = -7*x**2 + 3*x - 12. Let b be h(6). Let d = -1224/5 - b. Factor 0*c**3 - 3/5*c - 6/5*c**4 + 3/5*c**5 + 0 + d*c**2.
3*c*(c - 1)**3*(c + 1)/5
Let o be 12/16*(1 - -2 - 1). Let l be (-3)/(-9) + 1/6. Determine v so that -l*v**2 + 5/2*v - o - 1/2*v**3 = 0.
-3, 1
Let j(v) be the third derivative of -v**7/1050 - v**6/150 + v**5/100 + v**4/12 - 4*v**3/15 - 35*v**2 + 3. Factor j(x).
-(x - 1)**2*(x + 2)*(x + 4)/5
Let x = -12/49 - -134/147. Let l(k) be the first derivative of 2 + 0*k**2 + 0*k + x*k**3. Factor l(z).
2*z**2
Suppose -3*l = -4*m - 53, -m = 5*l - 4*m - 70. Factor 16*u**3 + 23*u**4 - 7*u**4 + l*u**3 + 4*u**5 - 11*u**3.
4*u**3*(u + 2)**2
Let k(h) be the first derivative of 4*h**5/5 - 3*h**4 - 4*h**3 + 14*h**2 + 24*h - 22. Let k(d) = 0. Calculate d.
-1, 2, 3
Suppose -5*n = d + 22, -4*n - 5*d - 6 = -1. Let m be -3 + -10 + 11 + (1 - n). Factor 10*f**m + 0*f + 4*f**3 + 2/5*f**2 + 0.
2*f**2*(5*f + 1)**2/5
Let v(f) = -f**3 + 19*f**2 - 8. Suppose 6*h + 69 = 21. Let n(t) be the third derivative of t**5/10 - t**3/2 - 8*t**2. Let d(s) = h*n(s) + 3*v(s). Factor d(u).
-3*u**2*(u - 3)
Let u be (1 + -2)*4/(-2). Suppose 0 = -j - u*j + 9. Suppose f**2 + 2*f + 5 - j - 1 = 0. What is f?
-1
Let p(t) be the second derivative of 5*t**4/12 - 5*t**3/2 - 10*t**2 + 37*t. Determine s, given that p(s) = 0.
-1, 4
Let h(b) be the first derivative of b**6/27 - b**4/2 - 8*b**3/27 + 4*b**2/3 - 106. Let h(v) = 0. What is v?
-2, 0, 1, 3
Let n(f) = f**3 - f**2 + 3*f - 8. Let s be (-3)/(5 + -4 + -2) + -1. Let l be n(s). Factor -2/3*r**l + 1/3*r**3 + 2/3 - 1/3*r.
(r - 2)*(r - 1)*(r + 1)/3
Let k(p) = p**2 - 4. Let q be k(3). Solve 2*t**5 - 7*t**3 + t**5 - q*t**4 + 11*t**2 - 4*t**5 - 14*t**2 = 0.
-3, -1, 0
Let k(w) = w**2 + 18*w + 49. Let s be k(-13). Let d be (s/(-14))/1*2. Suppose -4/7*l**2 + 10/7*l**5 + 2/7*l**3 + 0 + d*l**4 + 0*l = 0. Calculate l.
-1, 0, 2/5
Suppose 1 = f - 1, -k = -f - 4. Let b be 4/k*9/30. Solve 0*w - b*w**2 + 1/5 = 0 for w.
-1, 1
Let q(n) be the second derivative of n**4/3 + 14*n**3/3 - 8*n + 7. Let q(l) = 0. What is l?
-7, 0
Factor 100*g**2 - 1000*g + 0 - 5/2*g**3.
-5*g*(g - 20)**2/2
Suppose 0 = -3*i + 5*t + 20, -15 = 4*i + 3*t - 3. Let q be (i + (1 + 0)*-2)/(-1). Find v, given that -3/2*v**q + 3*v + 9/2 = 0.
-1, 3
Let v be (3 - 1144/368)/(50/(-360)). Determine g so that 12/23*g - 2/23*g**2 - v = 0.
3
Let l(w) be the third derivative of w**5/30 + w**4/2 + 3*w**3 - w**2 + 6. Solve l(k) = 0 for k.
-3
Let g = -2600/153 - -154/9. Factor 0 - g*n**3 - 4/17*n**2 - 2/17*n.
-2*n*(n + 1)**2/17
Let m(q) = 9*q**2 - 2*q + 2. Let k(h) = -8*h**2 + h - 1. Let y(b) = -4*k(b) - 3*m(b). Let j(a) = 6*a**2 + 3*a - 3. Let x(i) = 2*j(i) - 3*y(i). Solve x(o) = 0.
0
Let a(n) = 7*n**2 - 32*n - 31. Let r(l) = -15*l**2 + 65*l + 60. Let x(c) = -5*a(c) - 2*r(c). Factor x(f).
-5*(f - 7)*(f + 1)
Let d be ((-14)/(-42) - (-4)/(-12))*1. Solve -8/5*p + d - 8/5*p**2 - 2/5*p**3 = 0 for p.
-2, 0
Let o(c) be the second derivative of 24*c + 0 - 1/2*c**3 - 1/16*c**4 - 3/2*c**2. Determine r, given that o(r) = 0.
-2
Let m = 1153/3 - 384. Factor -m*y**2 - 16/3 + 8/3*y.
-(y - 4)**2/3
Let n(g) be the third derivative of g**8/504 - 2*g**7/105 + g**6/15 - 4*g**5/45 + 48*g**2 - 2. Factor n(p).
2*p**2*(p - 2)**3/3
Let w(g) be the third derivative of -g**7/945 - 2*g**6/135 + g**5/9 - 8*g**4/27 + 11*g**3/27 - 149*g**2. Suppose w(n) = 0. Calculate n.
-11, 1
Let d(a) be the second derivative of -5*a**8/112 - a**7/35 + a**6/8 + a**5/10 - a**2 + 7*a. Let i(w) be the first derivative of d(w). Solve i(x) = 0 for x.
-1, -2/5, 0, 1
Let j = 971232/2506651 - 11/7619. Let h = j + 2/47. Suppose 3/7*n**3 + h*n - 6/7*n**2 + 0 = 0. Calculate n.
0, 1
Let d(a) = a**3 - 14*a**2 + 26*a - 30. Let w be d(12). Let y be (6/30*-4)/(w/15). Factor 2/15*v**y - 2/15*v - 4/15.
2*(v - 2)*(v + 1)/15
Suppose 4*a + 44 = 4*q, 55 = 6*q - q + 2*a. Let u be -1 - 4/(-36)*q. Factor 4/9*v - u*v**2 + 0 - 2/9*v**3.
-2*v*(v - 1)*(v + 2)/9
Let d(z) be the second derivative of -1/21*z**7 + 0*z**3 + 1/15*z**6 - 3*z + 0 - 1/6*z**4 + 0*z**2 + 1/10*z**5. Find y, given that d(y) = 0.
-1, 0, 1
Let t(b) be the first derivative of 3*b**5/20 + 3*b**4/4 - b**3/2 - 9*b**2/2 + 27*b/4 - 326. Factor t(l).
3*(l - 1)**2*(l + 3)**2/4
Let c(b) be the third derivative of b**7/315 + b**6/18 + 4*b**5/15 + 11*b**4/18 + 7*b**3/9 + 92*b**2. Factor c(g).
2*(g + 1)**3*(g + 7)/3
Let k(m) be the first derivative of -4*m**6 - m**4 + 0*m**3 + 0*m**2 - 28/5*m**5 + 0*m - 15. Solve k(j) = 0.
-1, -1/6, 0
Determine j, given th