t f be (7/(-21))/((-1)/6). Let v(l) be the first derivative of 0*l - 15 - 2/7*l**f + 1/7*l**4 + 2/35*l**5 - 2/21*l**3. Let v(m) = 0. Calculate m.
-2, -1, 0, 1
Let q(u) = -30*u + 15. Let g be q(3). Let j be (-2)/(-3) - ((-20)/g)/1. Factor j*a + 4/5*a**2 - 4/5*a**4 + 0 + 0*a**3 - 2/5*a**5.
-2*a*(a - 1)*(a + 1)**3/5
Let b(h) be the first derivative of -2*h**3/27 - h**2/9 + 101. Factor b(y).
-2*y*(y + 1)/9
Let i(d) = d**3 - 41*d**2 - 36*d. Let y(c) = -c**3 + c**2. Let w(x) = i(x) + 3*y(x). Factor w(b).
-2*b*(b + 1)*(b + 18)
Suppose 50*w = 44*w + 12. Factor c**3 - 3*c**w + 4*c - 106 + 106 - 2*c.
c*(c - 2)*(c - 1)
What is f in -15*f - 19 + 6 + 10 + 3 - 5*f**2 = 0?
-3, 0
Let n be 4/(1 + (-1)/(-3)). Suppose 105*l**2 + 148*l - 25*l**2 - 154*l**n - 156*l - 242*l**4 = 0. What is l?
-1, 0, 2/11
Suppose -6*t + 42 - 12 = 0. Let j(y) be the third derivative of 0 + 11*y**2 + 0*y**3 + 0*y**4 + 0*y + 1/60*y**t. Let j(p) = 0. Calculate p.
0
Let -15*z + 8 + 72*z**2 + 15*z**3 + 10 - 87*z**2 - 3*z**4 + 0*z**4 = 0. Calculate z.
-1, 1, 2, 3
Suppose 0 = -24*u + 45*u. Let v(o) be the third derivative of 0*o**3 + 0*o + 6*o**2 + u + 0*o**5 - 1/200*o**6 + 1/40*o**4. Factor v(t).
-3*t*(t - 1)*(t + 1)/5
Let y = -472314/13 + 36332. Let 2/13*w - y*w**3 + 8/13 - 8/13*w**2 = 0. Calculate w.
-4, -1, 1
Determine z, given that -38*z + 116/3 - 2/3*z**2 = 0.
-58, 1
What is p in 17*p + 9*p**2 + p**4 - 12*p - 6*p**3 - 9*p = 0?
0, 1, 4
Let g(p) = p**2 - 5*p + 6. Let y be g(4). Suppose v + 2*q = -3*v + 16, 4*q - 2 = y*v. Determine c so that -6 + v*c**2 + c**2 + 3*c - c**2 = 0.
-2, 1
Let u = 2514/5 - 500. Suppose -5*o + 0 + 10 = 0. Suppose -u*t - 4/5 - 2*t**o = 0. Calculate t.
-1, -2/5
Let i(x) = x**2 + 4. Let u(c) = 35*c**2 - 970*c + 47165. Let b(w) = -30*i(w) + u(w). Factor b(r).
5*(r - 97)**2
Let w = 3126 - 59392/19. Determine u so that -w*u**2 + 4/19*u - 2/19 = 0.
1
Let b(d) = 4*d**3 + 38*d**2 - 30*d - 6. Let r(l) = -l**3 - l**2 - 2*l + 2. Let c(w) = b(w) + 3*r(w). Factor c(t).
t*(t - 1)*(t + 36)
Factor 18/5*d**2 - 96/5*d - 1/5*d**3 + 128/5.
-(d - 8)**2*(d - 2)/5
Let q(c) = 120*c - 7. Let b be q(-3). Let j = b + 3307/9. Factor -2/9*n**2 - j*n + 0.
-2*n*(n + 2)/9
Suppose 0 = -5*g + 5 + 10. Suppose -k = -2*k - 4*q + 7, 3*q = 2*k - g. Factor 0*j**3 - j**4 - 3*j**2 - 4*j**3 + j**k - j.
-j*(j + 1)**3
Suppose 0 + 3/5*c - 49/5*c**2 = 0. Calculate c.
0, 3/49
Solve -5*z**5 - 18*z**4 - 3607*z**3 - 2*z**4 + z**2 - 11*z**2 + 3582*z**3 = 0.
-2, -1, 0
Find r such that -46/11*r**2 + 2/11*r**5 + 0 - 6/11*r**3 - 28/11*r + 14/11*r**4 = 0.
-7, -1, 0, 2
Factor -48*h**3 - 8*h**4 - 4*h**4 + 12*h**2 - 19*h**4 + 4*h**4.
-3*h**2*(h + 2)*(9*h - 2)
Let v(m) be the third derivative of m**8/336 + m**7/14 + 3*m**6/4 + 9*m**5/2 + 135*m**4/8 + 81*m**3/2 + 3*m**2 - 14. Factor v(y).
(y + 3)**5
Let t(o) be the first derivative of 1/78*o**4 + 1/780*o**6 + 1 + 2*o**2 + 0*o + 0*o**3 - 1/130*o**5. Let i(n) be the second derivative of t(n). Factor i(f).
2*f*(f - 2)*(f - 1)/13
Suppose 39/5*s**2 - 6*s + 84/5*s**3 + 0 + 3*s**4 = 0. Calculate s.
-5, -1, 0, 2/5
Let u(x) = 2*x + 40. Let h be u(-20). Let k be -1 + (1 + h)*3/3. Let 0*q + 1/4*q**2 + 1/4*q**3 + k = 0. What is q?
-1, 0
Let n(h) be the second derivative of -h**6/15 + 7*h**5/40 + h**4/4 - 7*h**3/12 - h**2/2 + 2*h + 19. Determine p, given that n(p) = 0.
-1, -1/4, 1, 2
Let n(x) be the second derivative of x**7/42 - x**6/10 - 3*x**5/10 + 5*x**4/6 + 7*x**3/2 + 9*x**2/2 - 2*x + 2. Solve n(q) = 0.
-1, 3
Suppose -17*z = -15*z - 2*p - 2, -4*z + 2*p = -6. Let i(l) be the first derivative of -2 + 0*l**z - l**4 + 0*l**3 + 0*l - 2/5*l**5. Factor i(k).
-2*k**3*(k + 2)
Let f(o) be the second derivative of o**8/3360 + o**7/630 + o**6/360 - 11*o**4/12 + 7*o. Let p(s) be the third derivative of f(s). Factor p(c).
2*c*(c + 1)**2
Let c be (2*-1)/(12 + 1 - (111 + -88)). Factor -2/5*h - c*h**2 - 1/5.
-(h + 1)**2/5
Let o be ((-60)/8)/(-5) + -14 + 13. What is g in 5/6 + 10/3*g**3 - 13/3*g**2 + 2/3*g - o*g**4 = 0?
-1/3, 1, 5
Let n be (4/3 + -1)/(725/(-50) - -16). What is m in -2/9*m**2 + 4/9 + n*m = 0?
-1, 2
Let t = -2/569 - -581/3414. Let v(q) be the first derivative of -q + t*q**3 - 2 + 1/4*q**2. Solve v(z) = 0.
-2, 1
Let m be (3 - 6425/(-4635)) + -4. Let t = m + 6/103. Factor 0 + 2/9*j**4 + 0*j + 0*j**2 + t*j**3.
2*j**3*(j + 2)/9
Let b(x) be the second derivative of x**5/10 + 2*x**4/3 + x**3 - 48*x. Factor b(t).
2*t*(t + 1)*(t + 3)
Let z(p) = 0 + 4 + 0*p - 3*p - 1. Let b be z(0). Factor 0 + 243*u**2 - 246*u**2 - b + 6*u.
-3*(u - 1)**2
Let r(c) be the first derivative of -c**6/24 + c**5/2 - 5*c**4/2 + 20*c**3/3 + 4*c**2 - 16. Let o(y) be the second derivative of r(y). Solve o(s) = 0 for s.
2
Let x(z) be the first derivative of -z**5 - 3 + 0*z**2 - 20/3*z**3 + 0*z + 5*z**4. Suppose x(f) = 0. Calculate f.
0, 2
Let k be (-25)/10*(-12)/10. Factor 0 + 0 + 5*u**2 - 16*u**3 + 6*u**k + 5*u.
-5*u*(u - 1)*(2*u + 1)
Let z(r) be the second derivative of -r**4/54 + 11*r**3/27 - 8*r**2/3 - 2*r + 55. Factor z(m).
-2*(m - 8)*(m - 3)/9
Suppose -4*r + 37 - 9 = 2*s, 3*r - 20 = -s. Factor 0 - 2/3*x**s - 1/3*x.
-x*(2*x + 1)/3
Let s(c) = -93*c - 186. Let m be s(-2). Find t such that -2/7*t + 2/7*t**2 + m = 0.
0, 1
Let k = -4394 - -4397. Factor k*p + 15/7*p**2 + 6/7.
3*(p + 1)*(5*p + 2)/7
Let j be (5 + (-302)/60)*-5. Let s(o) be the first derivative of j*o**2 - 2/9*o**3 + 0*o + 1/12*o**4 + 4. Determine x so that s(x) = 0.
0, 1
Let f(i) = -i**3 + 5*i**2 - 6*i + 5. Let u be f(2). Suppose 3*n - 2*o - 18 = 0, -2*n = -4*n + u*o + 23. Let -4*r - 5 - n*r**2 + 10*r + 3 = 0. Calculate r.
1/2, 1
Let p = 340 - 500. Let m be (p/(-40))/(-3*28/(-6)). Factor -m*g**3 - 2/7*g**2 + 2/7*g + 2/7.
-2*(g - 1)*(g + 1)**2/7
Let s(a) = 9*a**2 - 33*a + 7. Let t(r) = r**2 - 4*r + 1. Let g = 162 + -111. Let l(h) = g*t(h) - 6*s(h). Solve l(d) = 0.
-3, 1
Let o(q) be the second derivative of q**6/105 - q**5/7 + 17*q**4/42 - 8*q**3/21 + 141*q. Let o(h) = 0. What is h?
0, 1, 8
Let v(z) be the third derivative of 1/210*z**5 - 1/21*z**3 + 0*z + 0*z**4 - 18*z**2 + 0. Factor v(r).
2*(r - 1)*(r + 1)/7
Let p = 34 + 20. Suppose -p*x + 52*x + 4 = 0. Let -4/9*m**x + 0 - 2/9*m**3 + 0*m = 0. What is m?
-2, 0
Let w(x) = x**3 - 3*x**2 - 7*x - 9. Let o be w(5). Suppose 2*l - 7*p + o*p - 4 = 0, -3*p = -4*l + 10. Factor 11/4*m**2 - 3/2*m**3 - l + m - 9/4*m**4.
-(m + 1)**2*(3*m - 2)**2/4
Let q(d) be the third derivative of d**7/504 - d**6/8 + 27*d**5/8 + 11*d**4/24 - d**3/6 + 2*d**2 - 15*d. Let n(k) be the second derivative of q(k). Factor n(h).
5*(h - 9)**2
Let d(v) be the second derivative of -v**5/15 + 4*v**4 - 96*v**3 - 10*v**2 - 33*v. Let n(o) be the first derivative of d(o). Factor n(l).
-4*(l - 12)**2
Let y(z) = -10*z**2 - 84*z - 14. Let j(c) = -2*c**2 - 17*c - 3. Let x(v) = -5*v**3 + 5*v**2 - v - 6. Let q be x(2). Let a(h) = q*j(h) + 6*y(h). Factor a(u).
-4*u*(u + 7)
Determine c, given that 23/2*c**2 + 25/2 + 49/2*c - 1/2*c**3 = 0.
-1, 25
Suppose -4*h + 20 = 4*l, h = -0*h + l + 3. Suppose 4*b = h*o, -4*b - o + 11 + 4 = 0. Factor -b*f**3 + f**5 - 96 + 96 - 2*f**2.
f**2*(f - 2)*(f + 1)**2
Let j(o) be the first derivative of -o**4/4 - 5*o**3/3 - 7*o**2/2 - 3*o - 11. Factor j(h).
-(h + 1)**2*(h + 3)
Solve y + 4*y**4 + 6 + 11*y**5 - 5*y**2 + 10*y**5 - 22*y**5 - 6*y**2 + y**2 = 0.
-1, 1, 2, 3
Let l(b) be the third derivative of -b**7/210 - b**6/30 - b**5/30 + b**4/6 + b**3/2 - 160*b**2. Suppose l(t) = 0. What is t?
-3, -1, 1
Let x be (-6)/(-7) - (-1235)/(-1596). Find c, given that -1/12*c**4 - x*c**3 + 0*c + 0*c**2 + 0 = 0.
-1, 0
Let f(a) = 3*a**5 - 27*a**3 + 18*a - 2. Let v(x) = -8*x**5 + 82*x**3 - 53*x + 7. Let k(w) = -7*f(w) - 2*v(w). Solve k(t) = 0.
-2, -1, 0, 1, 2
Suppose -5*c - 25 + 0 = 0, 5*c + 22 = -t. Let v = -1 + t. Factor 0*y + 0 - 6/7*y**v + 15/7*y**3.
3*y**2*(5*y - 2)/7
Let h(q) = q**2 + q - 14. Let i be h(4). Let k be 12/2*i/63. Factor 16/7 + 12/7*x - k*x**2.
-4*(x - 4)*(x + 1)/7
Let k = -15 + 17. Determine r so that 9*r**2 - 6*r**2 + r**2 - 6*r**k + 2*r = 0.
0, 1
Let h(q) be the second derivative of -27*q + 0*q**2 - 1/15*q**6 - 3/10*q**5 + 0*q**3 + 0 + 2/3*q**4. Factor h(k).
-2*k**2*(k - 1)*(k + 4)
Let g(d) be the third derivative of -d**5/80 + d**4/32 + d**3/4 + 7*d**2. Find u such that g(u) = 0.
-1, 2
Suppose 12 = 4*m - 4. Let p be m/6 - 