 + 7*v**2/2 + v + 645. Solve z(s) = 0 for s.
-7, -6
Let b(s) be the second derivative of -s**6/120 + s**5/16 + s**4/4 - 10*s**3/3 + 8*s**2 - 161*s. Solve b(k) = 0 for k.
-4, 1, 4
Let q = -1938 + 5878/3. Let f = -21 + q. What is c in 4/3 + f*c**2 + 4/3*c = 0?
-2
Let h(v) be the first derivative of 13 + 0*v**2 + 1/6*v**4 + 0*v - 2/9*v**3. Let h(w) = 0. What is w?
0, 1
Factor 44 + 5780*b + 93*b**2 + 0*b**3 - 5668*b + 26*b**3 + b**4.
(b + 1)**2*(b + 2)*(b + 22)
Let x(v) be the first derivative of 0*v - 1/4*v**2 + 11/16*v**4 - 1/5*v**5 - 5/12*v**3 + 12. Determine b, given that x(b) = 0.
-1/4, 0, 1, 2
Let u = -1069 + 1077. Let w(y) be the third derivative of 6*y**2 + 0*y + 1/30*y**5 + 0*y**3 + 11/945*y**7 - 1/54*y**4 - 1/504*y**u + 0 - 1/36*y**6. Factor w(h).
-2*h*(h - 1)**3*(3*h - 2)/9
Let r(l) = l**3 + 3*l**2 - 2*l - 2. Let a = -19 + 16. Let v be r(a). Factor -v*i**3 + i**2 + i**2 - i + 3*i**3.
-i*(i - 1)**2
Factor 104907/4*b**2 + 3 + 561*b.
3*(187*b + 2)**2/4
Let l be ((-4)/(-3))/(-2) + 532/114. Let w(t) be the first derivative of 0*t**5 + 3/7*t**2 + 1/21*t**6 + 4/21*t**3 + l - 2/7*t**4 - 4/7*t. Factor w(s).
2*(s - 1)**3*(s + 1)*(s + 2)/7
Suppose -1/8*l**2 - 7/8*l + 0 = 0. Calculate l.
-7, 0
Let j(s) be the first derivative of 4/3*s**3 + 3/2*s**4 - 1/3*s**6 - 7 + 0*s**2 + 0*s + 0*s**5. Solve j(v) = 0 for v.
-1, 0, 2
Let n = 37939/13555 - -3/2711. Determine d, given that 2/5*d**2 - 16/5 - n*d = 0.
-1, 8
Let d be (-8)/(-72) + 5/(-126). Let h(a) be the second derivative of -1/7*a**2 + 0 + 1/7*a**3 + 1/70*a**5 - d*a**4 + a. Factor h(y).
2*(y - 1)**3/7
Let -1/3*q**5 + 0 + 5/3*q**2 + 1/3*q**3 + 0*q - 5/3*q**4 = 0. Calculate q.
-5, -1, 0, 1
Factor -1/2*b**4 + 4 - 23/2*b + 21/2*b**2 - 5/2*b**3.
-(b - 1)**3*(b + 8)/2
Factor 0 - 171/5*t + 3/5*t**2.
3*t*(t - 57)/5
Let q(s) be the first derivative of 5*s**3 - 20*s**2 - 77. Factor q(n).
5*n*(3*n - 8)
Let u(k) be the first derivative of -k**6/2 - 27*k**5/5 - 39*k**4/2 - 18*k**3 + 81*k**2/2 + 81*k - 164. Factor u(s).
-3*(s - 1)*(s + 1)*(s + 3)**3
Let c(s) be the first derivative of s**5/30 + s**4/24 - 19*s**3/18 - 49*s**2/12 - 5*s - 494. Determine d so that c(d) = 0.
-3, -2, -1, 5
Let v(f) be the second derivative of 0*f**2 + 28*f + 7/40*f**5 + 0 + 1/6*f**3 + 3/8*f**4. Factor v(l).
l*(l + 1)*(7*l + 2)/2
Suppose 0 = n - 4*n + 3. Let w(m) = -m**3 - 12*m**2 + 10*m - 38. Let c be w(-13). Determine j so that -n - c + 2 + 4*j - 4*j**2 = 0.
0, 1
Factor 1/7*s**2 + 13/7*s + 0.
s*(s + 13)/7
Let n(j) be the third derivative of j**5/150 + 7*j**4/15 + 5*j**3 + 216*j**2. Factor n(v).
2*(v + 3)*(v + 25)/5
Let i(b) be the second derivative of b**4/3 + 8*b**3/3 + 86*b. Factor i(y).
4*y*(y + 4)
Suppose -4*f - 108 = 616. Let k = -901/5 - f. Factor -k*t - 4/5 - 1/5*t**2.
-(t + 2)**2/5
Let z(r) be the second derivative of -r**6/60 - r**5/40 + r**4/8 + r**3/12 - r**2/2 + 11*r. Suppose z(c) = 0. What is c?
-2, -1, 1
What is v in 2/7*v**2 + 48/7 - 22/7*v = 0?
3, 8
Let p(h) be the second derivative of h**8/420 + h**7/210 - h**6/90 - h**5/30 + h**3/3 + 3*h. Let f(k) be the second derivative of p(k). Factor f(b).
4*b*(b - 1)*(b + 1)**2
Let a be 4/6 + 228/4356*-11. Factor -4/11 + 3/11*y**2 + a*y**3 + 0*y.
(y - 1)*(y + 2)**2/11
Let j(r) be the third derivative of r**6/1440 + r**5/240 - r**4/32 - 5*r**3/6 - 4*r**2. Let d(b) be the first derivative of j(b). Find u such that d(u) = 0.
-3, 1
Let n = -35173 + 457761/13. Let -2/13*y**3 - 66/13*y**2 - n - 576/13*y = 0. Calculate y.
-16, -1
Factor -6/5*g**3 + 0 - 12/5*g**2 + 18/5*g.
-6*g*(g - 1)*(g + 3)/5
Factor 14*o**2 - 3*o**4 - 9*o**3 + 6*o + 3*o**5 + 21*o**2 - 51*o**2 + 19*o**2.
3*o*(o - 2)*(o - 1)*(o + 1)**2
Let t be 3 - -1 - 2 - -3. Let n = -7 + t. Let x(i) = 10*i**2 - 8*i - 2. Let w(f) = -10*f**2 + 8*f + 2. Let l(v) = n*x(v) - 3*w(v). Factor l(q).
2*(q - 1)*(5*q + 1)
Let s be (0/(-1 + 0))/2. Let a = -1097/2 + 549. Factor 0 + 1/2*d**2 + s*d - a*d**4 - 1/2*d**3 + 1/2*d**5.
d**2*(d - 1)**2*(d + 1)/2
Let z(k) be the third derivative of k**7/42 + 35*k**6/24 + 8*k**5 - 5*k**4/6 - 320*k**3/3 + 140*k**2. Let z(c) = 0. Calculate c.
-32, -2, 1
Let f(b) = 4*b - 18. Let g be f(8). Let r be 111/105 + -2 + 30/g. Suppose -9/5 - r*s + 3/5*s**2 = 0. Calculate s.
-1, 3
Let i = 8195/53 + -545150/583. Let u = 781 + i. Determine t so that -6/11*t**3 + u*t**2 + 0 + 2/11*t**4 - 2/11*t = 0.
0, 1
Suppose -4*y - 29 = 3*q - 13, -26 = -y + 3*q. Factor 3/2*l**3 - 3/2*l**y - 3*l + 0.
3*l*(l - 2)*(l + 1)/2
Solve 0*l**3 + 56/5*l**5 - 22/5*l**2 + 4/5*l + 82/5*l**4 + 0 = 0 for l.
-1, 0, 1/4, 2/7
Find s, given that -1/3*s + 0*s**2 + 0*s**4 + 0 + 2/3*s**3 - 1/3*s**5 = 0.
-1, 0, 1
Suppose 24*q - 22*q - 3*y = 640, -2*q + 5*y = -648. Let r be (-28)/(-126) - q/(-45). Factor 54/5*h**2 + 8/5 - r*h - 27/5*h**3.
-(3*h - 2)**3/5
Let y = 11908/3 + -3966. Factor 8/3 + 2/3*t**2 - y*t.
2*(t - 4)*(t - 1)/3
Let x(n) = -13*n**5 - 33*n**4 - 3*n**3 + 31*n**2 + 9*n - 9. Let b(c) = -3*c**5 - 8*c**4 - c**3 + 8*c**2 + 2*c - 2. Let j(a) = -9*b(a) + 2*x(a). Factor j(t).
t**2*(t - 1)*(t + 2)*(t + 5)
Suppose -2*n + 4*n = 10. Let a be n/(-15)*7*-6. Find s such that 3*s + 7*s**3 + 15*s**4 - 5*s**2 + 2*s**2 + 3*s**5 + a*s**3 - 27*s - 12 = 0.
-2, -1, 1
Suppose 12 = -3*j - 0*j, 2*z - j = 14. Suppose 5*w - 4 = 9*w + 2*u, z*u = 2*w - 10. Determine l so that -1/4*l + w - 5/4*l**2 - 3/4*l**4 - 7/4*l**3 = 0.
-1, -1/3, 0
Suppose 0*i = -2*y - 2*i + 12, -3*i = 4*y - 29. Let v = y - 8. Factor 28*p - 18*p + 3 - 13*p + 3*p**3 - v*p**2.
3*(p - 1)**2*(p + 1)
Let p be 4 - 0 - (23 - -13). Let h = p - -34. Factor -6*f + 3*f**2 - 6*f - f**h - 9 + 4*f**3 - f**4.
-(f - 3)**2*(f + 1)**2
Let i(c) be the first derivative of -2*c**5/75 - c**4/30 + 2*c**3/9 - c**2/5 + 2. Find p, given that i(p) = 0.
-3, 0, 1
Let x = 79/308 - 1/154. Factor x*o**2 - 5/4*o + 0.
o*(o - 5)/4
Let f(r) = 51*r + 3*r**2 - 32*r**2 - 7*r**2. Let m(i) = -7*i**2 + 10*i. Let n(l) = 4*f(l) - 21*m(l). Find s, given that n(s) = 0.
0, 2
Let u(r) = -r**3 + 3*r**2 + 3*r - 3. Let z(q) = 5*q - 2. Let n be z(1). Let b be u(n). Factor 0 - 6 + 3*t**3 + 41*t - 17*t - b - 15*t**2.
3*(t - 2)**2*(t - 1)
Let f(j) = 43*j**3 + 136*j**2 + 67*j - 16. Let l(t) = 22*t**3 + 68*t**2 + 34*t - 8. Let o(n) = 2*f(n) - 5*l(n). Determine d, given that o(d) = 0.
-2, -1, 1/6
Let x(q) = 3*q - 40. Let d be x(14). Suppose -12*p + 9*p**2 + 11 + 0*p**2 - d - 6*p**2 = 0. Calculate p.
1, 3
Suppose 0 = -3*y - 5*y + 72. Solve -7*s - 10*s - y*s + 16*s - 2*s**2 = 0.
-5, 0
Let a(x) be the second derivative of x**7/42 - x**6/24 - x**5/6 + 11*x**2/2 - 23*x. Let n(y) be the first derivative of a(y). Factor n(c).
5*c**2*(c - 2)*(c + 1)
Let o(b) = -b**2 + 5*b - 10. Let n be o(7). Let a be (-2)/(n/36 + (-2)/6). Factor -4/9*x**4 - 8/9*x**a - 2/9*x - 10/9*x**3 + 0.
-2*x*(x + 1)**2*(2*x + 1)/9
Let z(d) = d + 12. Let i be z(-6). Suppose f - 7 = -2*g - 1, 0 = -4*g + f + i. Suppose 2/5*t**g + 2/5 - 4/5*t = 0. What is t?
1
Let t be 13/(-39)*(0 - 0)*-1. Let y(o) be the third derivative of 1/2*o**3 + 1/40*o**6 + 3/8*o**4 - 2*o**2 + 0*o + t + 3/20*o**5. Suppose y(u) = 0. Calculate u.
-1
Let u(x) = x**3 - 10*x**2 + 15*x - 40. Let n be u(9). Let z = 2 + 10. Let n*m**2 + z*m - 2*m - 4 - 10*m**4 - 6*m**3 - 4*m = 0. Calculate m.
-1, 2/5, 1
Let n be 2/2 - 7 - 27/(-4). Factor -3/2*g**2 + 0*g + 3/4*g**4 - n*g**3 + 0.
3*g**2*(g - 2)*(g + 1)/4
Let a(c) = c**3 + 2*c**2 - 14*c - 22. Let f be a(-4). Factor -64 + 11*w**f - 15*w**2 + 91*w - 123*w.
-4*(w + 4)**2
Suppose 62/5*i - 2/5*i**3 + 32/5 + 28/5*i**2 = 0. What is i?
-1, 16
Suppose 15867*k**3 - 121*k**2 + 11*k**2 - 15847*k**3 - 5*k**5 + 20*k**4 + 90 - 15*k = 0. What is k?
-2, -1, 1, 3
Let j(x) be the second derivative of -7/6*x**3 - 17/60*x**5 + 0 - x**4 - 1/3*x**2 + 4*x. Factor j(i).
-(i + 1)**2*(17*i + 2)/3
Let v(p) be the third derivative of 0 + 22*p**2 - 1/60*p**6 - 1/210*p**7 + 0*p**5 + 1/6*p**3 + 1/12*p**4 + 0*p. Let v(q) = 0. What is q?
-1, 1
Let 2 - 2/5*d**2 - 8/5*d = 0. Calculate d.
-5, 1
Let q(k) = -5*k - 2. Let n be q(-3). Suppose -6*b + n - 1 = 0. Let d(z) = z**2 - 4*z - 3. Let u(y) = -y**2 + 3*y + 2. Let a(j) = b*d(j) + 3*u(j). Factor a(c).
-c*(c - 1)
Let r(p) be the second derivative of p**6/90 + p**5/15 - p**4/12 - 5*p**3/9 + 4*p**2/3 + 2*p - 9. Find o such that r(o) = 0.
-4, -2, 1
Let o(l) = -l + 27. Let x be