
-1, 1
Let f(m) be the third derivative of -m**9/28728 + m**7/3990 - m**5/1140 + m**3/3 - 15*m**2. Let j(x) be the first derivative of f(x). Factor j(p).
-2*p*(p - 1)**2*(p + 1)**2/19
Let d be ((-36)/30)/((-3)/10). Suppose 5*v - y = 13, 4*v - d*y + 7 = -9*y. Solve 1/2*l**v + 1/2*l + 0 = 0.
-1, 0
Suppose -5*l**2 - 52 - 34 + 48*l + 6 + 8*l - 6*l = 0. What is l?
2, 8
Let s(g) be the third derivative of g**6/600 - 161*g**5/100 + 25921*g**4/40 - 4173281*g**3/30 - 5*g**2 + 2*g. Find n such that s(n) = 0.
161
Suppose 0 - 32/3*a**2 - 104/15*a - 2/5*a**3 = 0. Calculate a.
-26, -2/3, 0
Find y, given that -3*y**2 + 5/2*y + 0 + 1/2*y**3 = 0.
0, 1, 5
Let v(i) be the third derivative of 0*i + 0 + 1/2*i**3 + 121/180*i**5 - 11/12*i**4 + 20*i**2. Suppose v(n) = 0. Calculate n.
3/11
Suppose -2*s = 4*z - 132, 120 = 3*z - 2*s + 21. Suppose 4*m - z = -25. Solve 2/5*a**4 + 0*a**m - 2/5*a**5 + 0 + 0*a + 0*a**3 = 0 for a.
0, 1
Let h = 283/5 + -55. Let z(g) be the first derivative of 2/5*g**2 - 1/20*g**4 - 2/15*g**3 + h*g - 2. Solve z(j) = 0 for j.
-2, 2
Let w(i) be the second derivative of i**5/20 - i**3/6 - i + 18. Determine f, given that w(f) = 0.
-1, 0, 1
Let d(p) be the first derivative of -5*p**3/3 - 265*p**2/2 + 550*p + 112. Factor d(c).
-5*(c - 2)*(c + 55)
Let l(r) be the second derivative of -r**6/3600 - r**5/400 - r**4/120 + 14*r**3/3 + 21*r. Let o(q) be the second derivative of l(q). Factor o(g).
-(g + 1)*(g + 2)/10
Let v(d) be the third derivative of -d**5/690 + 5*d**4/276 - 4*d**3/69 + 139*d**2. Let v(y) = 0. What is y?
1, 4
Let c(o) be the second derivative of 1/3*o**3 + 1/3*o**4 - o + 0 + 4*o**2. Let f(h) = -h**2 - h - 3. Let w(l) = -6*c(l) - 20*f(l). Factor w(n).
-4*(n - 3)*(n + 1)
Let t(o) be the second derivative of -o**6/15 - 7*o**5/10 - o**4 + 238*o. Let t(k) = 0. Calculate k.
-6, -1, 0
Suppose 5*j + 1/3*j**2 + 14/3 = 0. What is j?
-14, -1
Let c(l) be the second derivative of l**5/50 - l**4/3 + 9*l**3/5 - 18*l**2/5 - 86*l. Solve c(m) = 0 for m.
1, 3, 6
Let k be (-2)/34 + (-1560)/(-3400). Find h such that 2*h + k*h**2 + 8/5 = 0.
-4, -1
Let a = -87 + 49. Let u = -20 - a. Factor -u*c - 3*c**4 + 18*c + 3*c**2.
-3*c**2*(c - 1)*(c + 1)
Factor -2*q + 4 - 3*q**4 + 23*q + 19*q**3 - 17*q**2 + 50*q**2 + 6*q**4.
(q + 1)**2*(q + 4)*(3*q + 1)
Let i(q) be the second derivative of 1/48*q**4 + 0 + 0*q**2 - 1/12*q**3 - 6*q. Let i(g) = 0. Calculate g.
0, 2
Let a be -10 - -8 - -10 - 1*5. Let d(m) be the first derivative of -45*m - 5/3*m**a - 15*m**2 + 6. Let d(c) = 0. Calculate c.
-3
Let z = -43 - -48. Solve d + z*d**3 + d**2 - 6*d**3 + 4 + 0*d**3 - 5*d**2 = 0 for d.
-4, -1, 1
Let n be (-14)/(-4)*(-6 - 43/(-7)). Suppose n*z**3 + 0 - 1/4*z**4 + 0*z + 0*z**2 = 0. Calculate z.
0, 2
Let o(u) = -u**2 - 14*u + 2. Let i be o(-19). Let t = 93 + i. Factor -2/5*r**4 - 4/5*r**2 - r**3 + t - 1/5*r.
-r*(r + 1)**2*(2*r + 1)/5
Let v be -14*(19/7 + -3 + 0). Let o be (-32)/(-6)*(-6)/(-96)*v. Let 4/3*g**4 - 2/3*g**5 + 0*g + 0 - o*g**2 + 2/3*g**3 = 0. Calculate g.
-1, 0, 1, 2
Let u(h) be the first derivative of -4/5*h + 1/5*h**2 + 2/15*h**3 + 27. Factor u(i).
2*(i - 1)*(i + 2)/5
What is o in 6 + 11/3*o + 1/3*o**2 = 0?
-9, -2
Suppose -5*m + 10 = -2*d + 7*d, -6 = -3*m - 4*d. Let g(y) be the third derivative of -1/12*y**4 + 0 - 1/240*y**6 + 0*y**3 + 0*y + 1/30*y**5 + y**m. Factor g(b).
-b*(b - 2)**2/2
Let g(p) be the first derivative of 2*p**3/15 + 6*p**2/5 - 14*p/5 + 80. Factor g(z).
2*(z - 1)*(z + 7)/5
Let j(x) be the first derivative of 0*x + 0*x**2 - 10 + 3*x**5 - 33/2*x**4 + 8*x**3. Factor j(n).
3*n**2*(n - 4)*(5*n - 2)
Let -241 - 102*o + 2*o**2 + o**2 + 340 = 0. Calculate o.
1, 33
Let h(m) be the second derivative of -m**5/7 + m**4/14 - 103*m + 1. Determine a, given that h(a) = 0.
0, 3/10
Let n(s) = 69*s**3 - 124*s**2 - 13*s + 10. Let m(r) = -104*r**3 + 186*r**2 + 20*r - 16. Let b(q) = -5*m(q) - 8*n(q). Solve b(k) = 0 for k.
-1/16, 0, 2
Let k be -4 + 19/5 + (-22)/(-55). Let v(a) be the first derivative of -k*a**5 + 0*a - 5/4*a**4 - 4/3*a**3 + 0*a**2 + 5. Factor v(b).
-b**2*(b + 1)*(b + 4)
Let z(i) be the third derivative of 0 - 1/30*i**5 + 0*i**4 + 0*i**3 + 4*i + 5*i**2 - 1/20*i**6 - 1/168*i**8 - 1/35*i**7. Solve z(g) = 0 for g.
-1, 0
Let n(o) be the second derivative of o**6/75 - 3*o**5/25 - 2*o**4/5 + 14*o**3/3 + 15*o**2 - 157*o. What is q in n(q) = 0?
-3, -1, 5
Let b(i) be the first derivative of i**7/4200 + i**6/900 + i**5/600 - 10*i**3 + 6. Let s(r) be the third derivative of b(r). Factor s(h).
h*(h + 1)**2/5
Let k(a) = -20*a**2 + 91*a + 289. Let q(j) = 5*j**2 - 23*j - 72. Let n(d) = 2*k(d) + 9*q(d). What is p in n(p) = 0?
-2, 7
Let w(o) = 55*o**2 + 123*o + 20. Let c(k) = -385*k**2 - 860*k - 140. Let u be (10/4)/(-1*(-2)/16). Let v(l) = u*w(l) + 3*c(l). Suppose v(s) = 0. What is s?
-2, -2/11
Find d, given that 80/3*d**2 - 4/3*d**5 + 16/3 + 40/3*d**3 + 20*d + 0*d**4 = 0.
-1, 4
Suppose -2*n = 2*n + 40. Let p = n + 41/4. Factor -1/4*y**2 - p*y + 1/2.
-(y - 1)*(y + 2)/4
Let i(j) be the second derivative of 3*j**5/80 + 3*j**4/16 - 3*j**3 + 21*j**2/2 + 112*j. Suppose i(f) = 0. What is f?
-7, 2
Let c(p) = -3*p**2 + 51*p + 141. Let x(r) be the second derivative of r**4/12 - 13*r**3/3 - 71*r**2/2 - 23*r. Let j(y) = 4*c(y) + 9*x(y). Factor j(w).
-3*(w + 5)**2
Let i(v) be the third derivative of 0 + 1/15*v**4 + 0*v - 2*v**2 + 0*v**3 - 1/60*v**6 + 4/75*v**5. Let i(b) = 0. What is b?
-2/5, 0, 2
Determine d, given that -8/7 + 4/7*d + 12/7*d**2 - 4/7*d**4 - 4/7*d**3 = 0.
-2, -1, 1
Let x(m) = m**4 + 7*m**3 - 9*m**2 + m + 8. Let o(l) = l**3 - l**2 + 1. Let f(u) = 40*o(u) - 5*x(u). Find a such that f(a) = 0.
-1, 0, 1
Let m be (6 + 0)*(-5)/(30/4). Let g be 26 + -26 - m/22 - 0. Let -4/11*c**2 - g*c + 0 - 2/11*c**3 = 0. What is c?
-1, 0
Let a(t) be the second derivative of -t**4/3 + 8*t**3/3 + 24*t**2 - 18*t. Let a(c) = 0. Calculate c.
-2, 6
Let 81*w**2 - 5*w**3 + 2*w**3 - 36500*w + 36422*w = 0. What is w?
0, 1, 26
Let c(z) be the first derivative of z**3 - 27*z**2/2 + 54*z - 40. Factor c(n).
3*(n - 6)*(n - 3)
Let o(m) be the third derivative of -21*m**2 + 0*m - 1/72*m**4 + 0 - 1/180*m**5 + 1/9*m**3. Factor o(z).
-(z - 1)*(z + 2)/3
Let v(j) be the third derivative of 1/2*j**3 + 0*j + 0*j**4 + 0 + 15*j**2 - 1/80*j**5. Let v(n) = 0. Calculate n.
-2, 2
Let d(l) = 3*l**2 - 61*l - 64. Let k(q) = 5*q**2 - 125*q - 130. Let i(z) = 5*d(z) - 2*k(z). Let i(t) = 0. Calculate t.
-1, 12
Let b(i) be the second derivative of -i**6/6 - i**5 + 35*i**4/12 + 25*i**3/3 - 145*i. Determine z so that b(z) = 0.
-5, -1, 0, 2
Solve -4/7*h**2 + 0 - 16*h = 0.
-28, 0
Let u(r) = r**2 + 4*r + 7. Let z be u(-6). Let x = z + -15. Factor -7*v - 2 + x + 4*v**2 + 6 - 5*v.
4*(v - 2)*(v - 1)
Let a(t) = -5*t - 12. Suppose 0 = 18*z - 21*z - 9. Let h be a(z). Let 4 - 6*o + h*o**2 - 1/2*o**3 = 0. What is o?
2
Let z = 7/23 + -71/460. Let j = z - -1/10. Determine k so that -j*k**3 + 3/4*k**2 + 1/2 - 1/4*k**4 + 5/4*k = 0.
-1, 2
Let h(j) = j**2 + j + 2. Let i be h(4). Let b = -19 + i. Solve -6 + 2*u**b - 81*u**2 + 69*u**4 - 36*u**5 + 25*u**2 + 39*u - 5*u**3 - 7*u**2 = 0.
-1, 1/4, 2/3, 1
Let n be -4 + 8 + (-6)/8 + (-33)/12. Solve n*u**2 + 1/6*u**4 - 5/6*u**3 + 5/6*u - 2/3 = 0 for u.
-1, 1, 4
Let i(c) be the third derivative of -c**6/180 + c**5/72 + 7*c**4/144 - c**3/18 + 81*c**2. Factor i(s).
-(s - 2)*(s + 1)*(4*s - 1)/6
Let t be (3/((-6)/4))/((-13)/26). Suppose t*v + m + 8 = 29, 2*v + 4*m - 28 = 0. Determine f, given that 0*f - 2/7*f**v - 2/7*f**2 - 4/7*f**3 + 0 = 0.
-1, 0
Let i(x) be the first derivative of x**6/18 - x**5 - x**4/12 + 5*x**3/3 - 303. Let i(n) = 0. What is n?
-1, 0, 1, 15
Let t(v) be the second derivative of 25*v**5/8 + 125*v**4/24 + 35*v**3/12 + 3*v**2/4 - 47*v + 2. Let t(r) = 0. Calculate r.
-3/5, -1/5
Let w(m) be the second derivative of m**5/15 + 3*m**4 + 112*m**3/3 - 392*m**2/3 - 8*m. Suppose w(u) = 0. Calculate u.
-14, 1
Factor 0 - 82/5*m**2 - 52/5*m - 6/5*m**3.
-2*m*(m + 13)*(3*m + 2)/5
Let d(s) be the third derivative of 0 - 1/72*s**4 + 1/360*s**5 - 13*s**2 + 1/36*s**3 + 0*s. Factor d(z).
(z - 1)**2/6
Suppose 0 = 3*l + 3*t + 6, -9*t + 8*t = 3*l - 2. Suppose -20/9*a - 50/9 - 2/9*a**l = 0. Calculate a.
-5
Let t = -2700 - -35106/13. Find n such that 2/13*n**3 + 0*n**2 + 4/13 - t*n = 0.
-2, 1
Factor 9/2 - 3*g**3 + 9/4*g*