be (-8)/(-364 - z)*(-1 - -7). Suppose y + 2/15*c**3 - 2/15*c**2 - 2/15*c = 0. What is c?
-1, 1
Let a(h) = 277*h - 1659. Let l be a(6). Determine r so that 0*r + 0 - 2/3*r**l - 2/9*r**4 + 0*r**2 = 0.
-3, 0
Let h(b) be the third derivative of -1/12*b**4 - 2*b**2 + 0*b**3 - 5*b + 0 + 1/20*b**5 - 1/120*b**6. Factor h(m).
-m*(m - 2)*(m - 1)
Let o be (0 + 1*4/(-7))*16744/(-7176). Find m, given that -2*m**4 + o*m**2 + 2/3*m**5 + 2/3 - 2*m + 4/3*m**3 = 0.
-1, 1
Let k = 615/14 + -87/2. Suppose 10*v - 11 = 19. Find m, given that 3/7 - k*m**v + 3/7*m - 3/7*m**2 = 0.
-1, 1
Let d(s) = -59*s**2 + 56*s**2 + 6 - 4 - s. Let w(j) = -4*j**2 + 3. Let y(v) = -3*d(v) + 2*w(v). Suppose y(n) = 0. Calculate n.
-3, 0
Let c(a) be the third derivative of -a**8/1680 - a**7/420 + a**5/60 + a**4/24 + 8*a**3/3 - 16*a**2. Let h(y) be the first derivative of c(y). Factor h(k).
-(k - 1)*(k + 1)**3
Let s = 26213/22476 + 3/7492. Suppose -1/3*q**2 - s*q - 2/3 + 1/6*q**3 = 0. What is q?
-1, 4
Factor -2*l**2 - 146*l**4 - 9*l + 5*l**2 + 143*l**4 + 9*l**3.
-3*l*(l - 3)*(l - 1)*(l + 1)
Let l(a) = -10*a + 198. Let c be l(19). Let x(q) be the third derivative of 1/30*q**6 + 0*q + 0 + 0*q**4 - c*q**2 + 2/15*q**5 + 0*q**3. Factor x(z).
4*z**2*(z + 2)
Let k = -1 + 4. Let z = 79 - 72. Suppose -k*u**2 - z*u + 0*u**2 + 4*u = 0. What is u?
-1, 0
Let a(m) be the second derivative of -m**6/20 + 9*m**5/40 + m**4/8 - 3*m**3/4 + 242*m. Find k, given that a(k) = 0.
-1, 0, 1, 3
Suppose 0*k = -5*k. Suppose y - 1 - 5 = k. Determine i, given that -4 - 28*i**2 - 31*i + 2 - 5*i - y = 0.
-1, -2/7
Suppose -5*a = -1 - 19. Let m(x) be the third derivative of 0 + 1/270*x**5 - 1/540*x**6 + 0*x**a + 0*x + 0*x**3 - 5*x**2. Factor m(z).
-2*z**2*(z - 1)/9
Let i(m) = m**2 + 5*m - 4. Let d be i(-6). Suppose -2*f - f**d - 21 + 21 = 0. What is f?
-2, 0
Let -109*j**2 + 107*j**2 + 849*j + 82*j - 87362 - 95*j = 0. What is j?
209
Let o be (278/(-10))/(1 - (4 - 4)). Let q = o + 28. Factor q*r**2 + 0 + 2/5*r**3 - 1/5*r.
r*(r + 1)*(2*r - 1)/5
Factor -138*r - 115*r + 173*r - 46*r + 3*r**2.
3*r*(r - 42)
Let b(y) = 3*y**2 + 5*y + 4. Let t be b(-2). Determine i, given that -18*i + 3*i - 1 + 16*i**3 + 2*i + t*i - 8*i**2 = 0.
-1/4, 1
Determine s so that -192*s**2 - 8/3*s**5 - 154*s**3 + 0 - 110/3*s**4 - 72*s = 0.
-6, -1, -3/4, 0
Let a be (-6)/(-14) + 110/70. What is k in -2*k**2 - 7 + 27 + k**2 - 4*k**a = 0?
-2, 2
Let r(i) be the first derivative of 0*i**2 - 1/12*i**3 - 1/24*i**4 + 1 + i. Let z(x) be the first derivative of r(x). Factor z(a).
-a*(a + 1)/2
Suppose 0 = -5*l + 9*l - 40. Suppose 20*b + 140*b**2 + 2*b - 3*b - 35*b**4 + 21*b - l*b**3 = 0. Calculate b.
-2, -2/7, 0, 2
Let s(t) be the first derivative of -5*t**6/2 + 26*t**5 - 75*t**4/2 - 740*t**3/3 + 525*t**2/2 + 250*t + 122. Solve s(w) = 0.
-2, -1/3, 1, 5
Let q(g) = 7*g**3 + 22*g**2 + 143*g + 200. Let u(n) = -5*n**3 - 22*n**2 - 142*n - 200. Let b(p) = 2*q(p) + 3*u(p). What is r in b(r) = 0?
-10, -2
Let r = 14 + -11. Factor -3*g**2 - 20 - 5*g + g + 23 + 3*g**r + g.
3*(g - 1)**2*(g + 1)
Let 21/2 - c**3 - 185/4*c + 69/4*c**2 = 0. Calculate c.
1/4, 3, 14
Let b = 40 + -34. Let w = 0 + 3. What is n in b*n**3 + 3 - 8*n**w - 3 + 2*n = 0?
-1, 0, 1
Let b = 178 + -12459/70. Let v(p) be the third derivative of 0*p**4 + 0 - 7*p**2 + 0*p**3 + 0*p + 1/224*p**8 - b*p**7 + 0*p**5 + 1/80*p**6. Factor v(j).
3*j**3*(j - 1)**2/2
Let y(p) = -3*p**2 - 22*p - 20. Let g(o) = -3*o**2 - 45*o - o**2 - o**2 - 22 - 18. Let l(r) = -2*g(r) + 5*y(r). Let l(d) = 0. Calculate d.
-2
Suppose -q + 12 = 4*v, -5*v - 4*q + 9*q = -40. Factor -80*j + 84*j**2 + 16*j**v - 43 + 80*j**3 + 6 - 63.
4*(j - 1)*(j + 1)*(2*j + 5)**2
Let t(f) be the first derivative of f**3/3 + 4*f**2 + 7*f - 9. Suppose t(i) = 0. Calculate i.
-7, -1
Let u(c) = c**2 - 7*c. Let q be u(7). Suppose 3*o = -5*g - 3, -4*o = -2*g - 0*g - 22. Let -8*a**2 + 0*a**2 - 4*a + q*a**2 - o*a**3 = 0. What is a?
-1, 0
Let q = 19819/46375 + 8/6625. What is v in 3/7*v**4 + 3/7*v**3 - 3/7*v - q*v**2 + 0 = 0?
-1, 0, 1
Let j(l) = 8*l - 8. Let g be j(2). Let o be (-3 - (-55)/20)/((-7)/g). Suppose -o*h**2 + 0 + 2/7*h = 0. Calculate h.
0, 1
Let z(i) be the second derivative of 5/6*i**3 + 0*i**2 - 2*i + 5/3*i**4 + 0. Let z(o) = 0. What is o?
-1/4, 0
Let k(p) be the third derivative of 0*p + 11 - 2/735*p**7 + 0*p**3 + 0*p**4 + p**2 + 0*p**5 - 1/210*p**6. Factor k(r).
-4*r**3*(r + 1)/7
Determine f, given that -81 + 64 - 96 + 258 + 440*f + 15*f**2 = 0.
-29, -1/3
Let s = -37 + 40. Factor 54*v**4 + 2*v**s + 0*v**5 - 6*v**3 - 2*v**5 - 48*v**4.
-2*v**3*(v - 2)*(v - 1)
Determine j, given that 1/3*j**3 - 13/3*j + 5/3*j**4 - 2/3 - 5*j**2 = 0.
-1, -1/5, 2
Let b(k) be the first derivative of -36 - 4/9*k**3 - k**2 - 2/3*k. Solve b(f) = 0 for f.
-1, -1/2
Let b be 2/(-8)*-7 + 8295/(-4740). Suppose 7 = 4*n - 9. Factor 0*c**2 + b*c + 40/7*c**n + 50/7*c**5 + 0 + 8/7*c**3.
2*c**3*(5*c + 2)**2/7
Let r(c) be the second derivative of c**5/20 - c**4/12 + 17*c**2/2 - 3*c. Let h be r(0). Factor 0*y**4 - 19*y + y**4 + 5*y**2 + h*y - 4*y**3.
y*(y - 2)*(y - 1)**2
Let q(i) = -5*i**2 - i + 14. Let v(c) = -c**2 - 3. Let m(a) = 3*q(a) + 6*v(a). Factor m(h).
-3*(h - 1)*(7*h + 8)
Let m(b) = b**2 + 5*b. Let y be m(-5). Let h(l) = l**3 + l**2 - l + 2. Let n be h(y). Solve 3*d**2 + 0*d**3 + d**3 - d**n + 0*d**2 = 0 for d.
-2, 0
Suppose 9*t - 16*t + 14 = 0. Let m(h) be the first derivative of 4 + 3/7*h**t - 3/14*h**4 + 2/21*h**3 - 2/7*h. Factor m(d).
-2*(d - 1)*(d + 1)*(3*d - 1)/7
Let y(w) be the third derivative of w**8/3024 - 11*w**7/945 + 157*w**6/1080 - 11*w**5/15 + 3*w**4/2 + 188*w**2. Factor y(d).
d*(d - 9)**2*(d - 2)**2/9
Let y(z) be the second derivative of z**6/6 - z**5/4 - 5*z**4/2 + 10*z**3/3 + 20*z**2 - 204*z. Let y(a) = 0. What is a?
-2, -1, 2
Suppose 5*f = -3*h + 32 - 7, 0 = 2*f - 3*h + 11. Factor -2*z**4 - z**4 + 6*z**4 + 105*z**f + 59*z + 33*z**3 + 16*z.
3*z*(z + 1)*(z + 5)**2
Suppose 2/3*h**2 + 26*h + 0 = 0. Calculate h.
-39, 0
Let o = 407 - 404. Let n(z) be the second derivative of 6*z**2 - 5*z + 4/3*z**o + 0 - 1/3*z**4. Factor n(p).
-4*(p - 3)*(p + 1)
Let p(b) be the third derivative of -b**10/252000 + b**9/33600 - b**8/16800 - 37*b**5/60 + 21*b**2. Let n(f) be the third derivative of p(f). Factor n(r).
-3*r**2*(r - 2)*(r - 1)/5
Factor 22/3*y - 40 + 2*y**2.
2*(y - 3)*(3*y + 20)/3
Let p(o) be the first derivative of -14*o**5/5 + 145*o**4/2 - 154*o**3 + 55*o**2 + 76*o - 409. Let p(a) = 0. What is a?
-2/7, 1, 19
Suppose 66*f - 60 = 138. Let t(l) be the second derivative of 1/4*l**4 + 0 + 24*l**2 - 4*l**f - 7*l. Let t(u) = 0. Calculate u.
4
Let f(j) be the first derivative of 242/13*j + 35 + 2/39*j**3 - 22/13*j**2. Factor f(g).
2*(g - 11)**2/13
Let s(p) be the third derivative of -2/315*p**7 - 1/504*p**8 + 0*p**3 + 1/60*p**6 + 0 + 12*p**2 + 2/45*p**5 - 1/9*p**4 + 0*p. Factor s(n).
-2*n*(n - 1)**2*(n + 2)**2/3
Let a = 82 + -983/12. Let u(w) be the second derivative of 2/3*w**3 + 0 - 2*w**2 + 3*w - a*w**4. Suppose u(l) = 0. What is l?
2
Factor 8*p**3 - 20*p**2 + 9 - 88*p - p**3 - 73 - 3*p**3.
4*(p - 8)*(p + 1)*(p + 2)
Let x(m) be the second derivative of -1/21*m**3 + 1/140*m**5 + 0*m**2 + 21*m + 1/84*m**4 + 0. Determine q so that x(q) = 0.
-2, 0, 1
Let a(q) be the third derivative of -7*q**7/30 + 91*q**6/120 - 47*q**5/80 - 13*q**4/48 - q**3/24 + 7*q**2 + 2. Factor a(z).
-(z - 1)**2*(14*z + 1)**2/4
Suppose 121*g - 16 = 117*g. Let d(c) be the first derivative of 8 - 4*c**3 - 4*c**2 + 2*c**g + 12/5*c**5 + 0*c. Determine l, given that d(l) = 0.
-1, -2/3, 0, 1
Let b(y) = -2*y + 7. Let m be b(3). Let s be (-3 - -9)*m - 3. Factor -4*a - s*a + a + 3 + 3*a**2.
3*(a - 1)**2
Find t such that 4/5*t**4 + 2916/5*t + 108/5*t**3 + 972/5*t**2 + 0 = 0.
-9, 0
Suppose 37 = 5*v + 4*k, 4*k - 6 = 6. Factor 1/5*z**v - 2/5*z**4 + 3/5*z + 2/5*z**2 - 4/5*z**3 + 0.
z*(z - 3)*(z - 1)*(z + 1)**2/5
Factor 0 + 0*s**2 + 0*s + 1/5*s**3.
s**3/5
Factor 3/2*z - 1/10*z**2 - 13/5.
-(z - 13)*(z - 2)/10
Let t(u) = 3*u**3 + 5*u**2 - 2. Let x(g) = -16*g**3 - 27*g**2 - g + 11. Let b(r) = -11*t(r) - 2*x(r). Factor b(l).
-l*(l - 1)*(l + 2)
Let l(f) be the second derivative of -f**3/6 - 3*f**2/2 - 5*f. Let m be l(-6). Solve 0*y**3 - y**2 - 2*y**2 + 6*y**m - 3*y**4 = 0 for y.
0, 1
Let g(v) = -19*v**3 + v**2 + 3*v + 2. Let l be g(-1). Let