l) = 3694*l**2 - 1 - l**3 - 3694*l**2. Let a(t) = 6*h(t) - k(t). Find p, given that a(p) = 0.
-2, -1
Let r(y) be the second derivative of -4*y + 0 - 1/4*y**2 + 1/4*y**5 - 5/24*y**3 + 17/48*y**4. What is x in r(x) = 0?
-1, -1/4, 2/5
Let w(u) be the third derivative of u**8/2016 - u**7/90 + 13*u**6/720 - 15*u**2 - 7. Determine f so that w(f) = 0.
0, 1, 13
Let u(m) be the second derivative of -m**5/60 + m**4/12 - 2*m**2/3 + 26*m. Determine j so that u(j) = 0.
-1, 2
Let j(p) be the third derivative of p**6/180 - 4*p**5/45 + 4*p**4/9 + p**2 - 265. Factor j(b).
2*b*(b - 4)**2/3
Let r(a) be the second derivative of -1/9*a**3 + 0 - 1/5*a**5 + 5*a + 2/9*a**4 - 1/63*a**7 + 4/45*a**6 + 0*a**2. Suppose r(m) = 0. Calculate m.
0, 1
Let u(t) be the third derivative of 0*t + 0 - 1/105*t**7 - 1/60*t**6 + 1/12*t**4 + 0*t**3 + 9*t**2 + 1/30*t**5. Factor u(f).
-2*f*(f - 1)*(f + 1)**2
Let k(u) be the second derivative of -3*u**5/100 - u**4/10 + 15*u + 5. Solve k(n) = 0 for n.
-2, 0
Let h(t) = -8*t**2 + 24*t + 20. Let y(a) = 23*a - 8*a**2 - 10*a**2 + 21 + 16*a**2 - 5*a**2. Let q(b) = -3*h(b) + 4*y(b). Suppose q(v) = 0. Calculate v.
-1, 6
Let b be (-5)/(-20) + (-30)/(-8). Suppose 4*x**3 + 3*x**2 + b*x - 2*x**3 - 9*x**2 = 0. What is x?
0, 1, 2
Determine t, given that 7*t**4 + 6*t**5 + 8*t**3 - 336*t**2 + 18*t + 396*t**2 - 35*t**4 = 0.
-1, -1/3, 0, 3
Factor 70/9*w + 22/9*w**2 + 50/9 + 2/9*w**3.
2*(w + 1)*(w + 5)**2/9
Let m = 1/1430 - -22873/10010. Factor -4/7*x**5 + 16/7*x**2 + m*x**4 - 4/7*x - 24/7*x**3 + 0.
-4*x*(x - 1)**4/7
Let w(i) be the first derivative of -i**3/27 - 13*i**2/9 - 169*i/9 + 7. Factor w(p).
-(p + 13)**2/9
Let d = 885 - 881. Suppose 2*r**3 + 1/3*r**d + 8/3*r**2 - 2*r - 3 = 0. Calculate r.
-3, -1, 1
Suppose -3*u + 7 = 10. Let s be (-1)/(-3)*3*(-2)/u. Solve -1/2*y + 0 - 1/2*y**s = 0.
-1, 0
Let s(m) be the second derivative of m**5/50 - 8*m**4/15 - 16*m**3/3 + 2*m + 396. Factor s(z).
2*z*(z - 20)*(z + 4)/5
Let h(o) = -4*o. Let n(w) = -w**2 + 14*w. Suppose 5*c = -0*c - 3*v - 51, 2*c + 4*v = -12. Let i = c - 2. Let m(q) = i*h(q) - 4*n(q). Factor m(u).
4*u**2
Let -43*z - 16*z**3 + 0*z**3 - 5*z + 60*z**2 - 16 = 0. What is z?
-1/4, 2
Suppose 0*j - 3*j + 4 = -2*t, 5*j - 10 = 0. Let x be t/(1/2) - -2. Factor 3*w**2 + 13*w**3 + 5*w**3 + 2*w - x*w - 19*w**3.
-w*(w - 2)*(w - 1)
Let o(y) be the first derivative of -3*y**5/5 + 237*y**4/2 - 6397*y**3 + 18486*y**2 - 18252*y - 333. Factor o(d).
-3*(d - 78)**2*(d - 1)**2
Let k(r) be the first derivative of 5*r**6/6 - 7*r**5 + 95*r**4/4 - 125*r**3/3 + 40*r**2 - 20*r - 195. Factor k(s).
5*(s - 2)**2*(s - 1)**3
Determine w so that -189 + 14*w + 0*w**2 - 36 + 5*w**2 - 2*w + 8*w = 0.
-9, 5
Solve -16*u**4 - 5*u**5 + 16*u - 20*u**3 + 12*u**2 + u**5 + 8*u**5 + 4*u**4 = 0.
-1, 0, 1, 4
Let p = 4979/36 + -131/36. Let k = -134 + p. Factor k*l**2 + 0 + 0*l + 2/3*l**3.
2*l**2*(l + 1)/3
Let i(o) = -o**2 - 9*o - 5. Let t be i(-7). Suppose t*w - 8*w = 2. Factor 2*v - 4*v + 6*v + v**w - 5*v.
v*(v - 1)
Let r be (0 - -6 - 5)/((-1)/2). Let c be 2/(-20)*(r - 0). Factor 6/5*z**3 - 4/5*z**4 + 1/5*z + 0 - 4/5*z**2 + c*z**5.
z*(z - 1)**4/5
Let s be 2 + -5 - ((-5129)/(-253) - 24). Factor -10/11*z + s*z**2 + 4/11 - 2/11*z**3.
-2*(z - 2)*(z - 1)**2/11
Let t(v) be the third derivative of v**7/42 - 7*v**6/12 + 13*v**5/12 + 5*v**2 + 8*v. Determine l, given that t(l) = 0.
0, 1, 13
Let j(h) be the first derivative of h**3/9 - 5*h**2/6 + 4*h/3 + 94. Factor j(t).
(t - 4)*(t - 1)/3
Let l(t) be the second derivative of -t**7/273 + 3*t**6/65 - 19*t**5/130 + t**4/26 + 20*t**3/39 - 12*t**2/13 - t + 28. Determine k, given that l(k) = 0.
-1, 1, 2, 6
Suppose -43*t = -5*s - 48*t + 45, -4*s = -5*t + 9. Let n(v) be the third derivative of 49/40*v**6 + 4*v**s + 0 + 2*v**3 + 0*v + 77/20*v**5 - v**2. Factor n(i).
3*(i + 1)*(7*i + 2)**2
Let y(b) = -b**2 + b - 1. Let d(n) = 30*n**2 - 15*n + 25. Let m(g) = g**3 + 15*g**2 + g - 10. Let s be m(-15). Let k(q) = s*y(q) - d(q). Factor k(j).
-5*j*(j + 2)
Suppose 2 = -2*c, 0 = -0*t - 3*t + 4*c + 13. Let -g**2 - 2*g - 1 + g + t*g = 0. What is g?
1
Suppose -6 - 2 = 4*q. Let z be (q/(-4))/(16/224). Factor -19*o**5 + 3*o**3 + 15*o**5 - z*o**3 - 8*o**4.
-4*o**3*(o + 1)**2
Let l be (1/45)/(182/21). Let n(w) be the third derivative of w**2 - 1/78*w**4 + 0 + l*w**5 + 0*w + 0*w**3. Factor n(q).
2*q*(q - 2)/13
Let r = -1552 + 1555. Factor 4/7*x**r + 4/7*x**2 - 4/7 - 4/7*x.
4*(x - 1)*(x + 1)**2/7
Suppose 41*a**3 + 884*a + 14*a**3 - 1104*a - 40 + 10*a**2 = 0. Calculate a.
-2, -2/11, 2
Let y(f) be the second derivative of f**7/1400 + f**6/1800 + f**4/3 + 5*f. Let a(s) be the third derivative of y(s). Factor a(w).
w*(9*w + 2)/5
Let r(n) be the third derivative of n**7/315 + n**6/30 + 4*n**5/45 + 292*n**2. Let r(h) = 0. Calculate h.
-4, -2, 0
Let a(h) = -h**3 - 2*h**2 - 6*h + 12. Let v be a(-7). Factor -301*c - 2*c**2 + v*c + 0*c**2.
-2*c*(c + 1)
Let u(g) be the second derivative of 1/9*g**3 - 4/3*g**4 + 144/7*g**7 + 0*g**2 - 96/5*g**6 + 36/5*g**5 - 3*g - 7. Suppose u(m) = 0. What is m?
0, 1/6
Let u(k) = k**3 + 3*k**2 - 4*k + 4. Let o be u(-4). Factor 4*q**3 + 5*q**5 - 10*q**2 - 14*q**3 + 6*q**o + 5*q - q**4 + 5.
5*(q - 1)**2*(q + 1)**3
Let v = 3469 + -3464. What is s in 6/7*s**4 + 2/7*s**2 + 0 + 0*s - 6/7*s**3 - 2/7*s**v = 0?
0, 1
Let l(h) = h**5 + 24*h**4 - 17*h**3 - 2*h**2 + 2*h - 2. Let c(y) = -y**5 - 2*y**4 - y**3 + y**2 - y + 1. Let j(n) = -4*c(n) - 2*l(n). Factor j(t).
2*t**3*(t - 19)*(t - 1)
Let t(x) be the first derivative of -4/11*x + 2/33*x**3 - 10 + 1/11*x**2. Factor t(a).
2*(a - 1)*(a + 2)/11
Let g(h) be the second derivative of h**4/3 - 14*h**3 + 40*h**2 - 225*h. Factor g(x).
4*(x - 20)*(x - 1)
Let r(y) = 17*y**4 + 36*y**3 + 44*y**2 - 8. Let p(q) = 12*q**3 + 49*q**2 - 3 + 6*q**4 - 16*q**2 - 18*q**2. Let m(j) = 8*p(j) - 3*r(j). Factor m(w).
-3*w**2*(w + 2)**2
Let l(j) be the first derivative of 1/3*j**3 + 10 + j + 0*j**2 + 1/6*j**4. Let g(s) be the first derivative of l(s). Suppose g(x) = 0. Calculate x.
-1, 0
Let i(u) be the second derivative of -1/6*u**4 - 1/10*u**5 + 21*u - 1/9*u**3 - 1/45*u**6 + 0 + 0*u**2. Factor i(p).
-2*p*(p + 1)**3/3
Let r be (-108 - 8/(-4))/(3/6). Let v = -1058/5 - r. Factor 2/5*q + 2/5*q**2 - 2/5 - v*q**3.
-2*(q - 1)**2*(q + 1)/5
Let u = -1272 - -11452/9. Let -20/9*a + 0 - u*a**2 = 0. What is a?
-5, 0
Let 0*k + 4/9*k**3 + 188/9*k**2 + 0 = 0. Calculate k.
-47, 0
Let b(o) be the second derivative of 2/9*o**3 + 0*o**2 + 0 - 1/9*o**4 - 1/42*o**7 + 1/9*o**6 - 38*o - 7/60*o**5. Let b(l) = 0. What is l?
-2/3, 0, 1, 2
Find h, given that -11*h**2 - 45*h + 134947*h**3 - 169*h**2 - 135002*h**3 = 0.
-3, -3/11, 0
Let u(c) = -c**5 - c**4 - c**3 - c**2 - c + 1. Let o(r) = r**5 + 3*r**4 + 14*r**3 + 6*r**2 - 14*r - 2. Let z(n) = -o(n) - 2*u(n). Solve z(l) = 0.
-2, 0, 1, 4
Let q = -390 - -393. Let g(r) be the first derivative of -6/5*r**4 + 0*r + 2/5*r**5 + 11 - 2/5*r**2 + 6/5*r**q. Factor g(u).
2*u*(u - 1)**2*(5*u - 2)/5
Suppose -58*q**2 - 2*q - 8 + 2*q**4 + 127*q**2 - 3*q**4 - 60*q**2 + 2*q**3 = 0. Calculate q.
-2, -1, 1, 4
Let u be ((-9)/(-6))/((-7)/84). Let w = u + 22. Let 5*n**2 - 2*n**4 + 2*n**4 - 3*n**4 - 2*n**w = 0. Calculate n.
-1, 0, 1
Let b be (-1263)/(-210) - (3 - -3). Let r(m) be the third derivative of b*m**5 + 1/420*m**6 + 0 - 5/84*m**4 + m**2 + 2/21*m**3 - 1/735*m**7 + 0*m. Factor r(y).
-2*(y - 1)**3*(y + 2)/7
Factor -6*q**4 + 2*q**4 + 5*q**3 + 11*q**3 + 16*q**3 + 0*q**4.
-4*q**3*(q - 8)
Let m be (-4 - -1 - -1) + 2. Let v = -152 - -305/2. Suppose c**2 + m + v*c**3 + 1/2*c = 0. What is c?
-1, 0
Let r(t) be the third derivative of t**5/150 + t**4/10 + 3*t**3/5 - 76*t**2. Find m such that r(m) = 0.
-3
What is i in 506*i - 68*i**2 + 25*i**4 - 8*i**5 - 574*i + 40 + 3*i**4 + 76*i**3 = 0?
-2, -1, 1/2, 1, 5
Let o(y) be the second derivative of -y**4/3 - 20*y**3/3 - 50*y**2 - 152*y. Let o(a) = 0. What is a?
-5
Let r = -372 - -2977/8. Let v(l) be the second derivative of 10*l - 1/4*l**3 - 3/2*l**2 + r*l**4 + 0. Solve v(o) = 0 for o.
-1, 2
Suppose 366/5*t + 363/5 + 3/5*t**2 = 0. Calculate t.
-121, -1
Let r = -28513 - -114055/4. Factor -1/4*t**3 - 3/2*t**2 - r*t + 5/2.
-(t - 1)*(t + 2)*(t + 5)/4
Let h(j) be the third derivative of j**4/24 - 20*j**2. Let b(v) = 3*v**2 - 7*v + 12. Let p(f) = -b(f) + 5*h(f). Facto