2*j**3 + 10*j**2 + 12*j - 11. Let y(v) = 5*v**4 + 25*v**3 - 21*v**2 - 25*v + 23. Let i(o) = 7*c(o) + 4*y(o). Determine a so that i(a) = 0.
-1, 1, 15
Let m = 485/564 + -13/47. Let z(r) be the third derivative of 0*r + 0 + 1/6*r**5 + r**3 - 2*r**2 + m*r**4 + 1/60*r**6. Find d, given that z(d) = 0.
-3, -1
Let s be (0/(4/2)*-1)/(81 + -80). Suppose 10/9*o + s + 2/9*o**3 + 4/3*o**2 = 0. What is o?
-5, -1, 0
Let q(z) be the first derivative of -2/45*z**5 - 10 + 1/6*z**4 + 0*z + 2/9*z**2 - 1/27*z**6 + 10/27*z**3. Factor q(x).
-2*x*(x - 2)*(x + 1)**3/9
Suppose -23*s - 21*s = 0. Let h(w) be the first derivative of -7 - 1/20*w**4 + 8/25*w**5 + 0*w - 2/15*w**3 - 1/6*w**6 + s*w**2. Suppose h(u) = 0. Calculate u.
-2/5, 0, 1
Suppose 3*a = m + 2*a + 10, -a = m. Let h(j) = j**2 + 6*j + 7. Let r be h(m). Factor o**3 + 0*o + 3*o + o**r - 3*o.
o**2*(o + 1)
Let f(s) be the third derivative of -s**8/90720 + s**5/30 - 7*s**2. Let v(y) be the third derivative of f(y). Factor v(i).
-2*i**2/9
Let b(m) be the third derivative of m**5/480 + 17*m**4/192 + 91*m**2. Factor b(p).
p*(p + 17)/8
Find r such that -35864*r**3 - 12544/5 - 50*r**5 - 93184/5*r + 2740*r**4 - 228496/5*r**2 = 0.
-2/5, 28
Determine f, given that 16*f - 42*f - 33*f**4 + 14*f + 39*f**3 + 60*f**2 = 0.
-1, 0, 2/11, 2
What is s in 140*s**2 - 7 - 6*s - 68*s**2 - 71*s**2 = 0?
-1, 7
Let l(w) be the first derivative of 2*w**5/65 + w**4/13 - 50*w**3/39 - 2*w**2/13 + 48*w/13 + 345. What is a in l(a) = 0?
-6, -1, 1, 4
Let h(p) = p**2 - 19*p + 4. Let q be h(19). Find i such that 0 - 2*i**2 - 2*i**3 - 2/3*i**q - 2/3*i = 0.
-1, 0
Let w(a) be the third derivative of a**5/270 - 13*a**4/54 + 25*a**3/27 - 43*a**2 + 6*a. Let w(l) = 0. Calculate l.
1, 25
Let s be -2 - 14*(-4)/12. Find y such that s + 0*y - 2/3*y**2 = 0.
-2, 2
Let f be (6/10 + (-256)/(-40))/3. Let k(c) be the first derivative of -2/3*c - 1/2*c**4 - 26/9*c**3 - 9 + f*c**2 + 12/5*c**5. Let k(x) = 0. Calculate x.
-1, 1/3, 1/2
Factor -196*q**4 + 110*q**2 - 164*q**4 + 40*q + 0*q**5 + 5*q**5 + 400*q**4 + 105*q**3.
5*q*(q + 1)**2*(q + 2)*(q + 4)
Let u = 130 - 127. Suppose 22 = n + n + 4*m, -4*m = u*n - 25. Solve -6/5*l**2 - 2/5*l**n - 2/5 - 6/5*l = 0.
-1
Let h(t) = -t**3 + 5*t**2 - 4*t - 4. Let c be h(3). Suppose 4*m + 2*n + 1 = -3, 4*n = -4*m - 12. Factor -2*r + 2*r**c - m - 3 + 6*r - 2*r.
2*(r - 1)*(r + 2)
Let u = 85/4 + -21. Suppose -204*x + 33 = -193*x. Suppose -u*n**2 - 1/4*n**x + 1/4*n + 1/4 = 0. What is n?
-1, 1
Let i(o) be the first derivative of -o**6/210 - 2*o**5/105 - o**4/42 - o**2/2 - 16. Let f(p) be the second derivative of i(p). Factor f(m).
-4*m*(m + 1)**2/7
Suppose 4*g - 21 = 4*i - 141, 98 = 3*i - 5*g. Factor -4*y**2 + 6*y**2 + i*y - 55 + 14*y + 255.
2*(y + 10)**2
Let m(t) = 1055*t**4 - 4185*t**3 + 5345*t**2 - 1510*t + 55. Let s(w) = -39*w**4 + 155*w**3 - 198*w**2 + 56*w - 2. Let i(f) = 2*m(f) + 55*s(f). Solve i(c) = 0.
0, 3/7, 2
Let o = -109 - -109. Suppose -5*y = o, 6*y = 3*k + 5*y. What is h in -1/2*h - 1/2*h**2 + k = 0?
-1, 0
Let o = 10 + 1. Let -o*m**3 + 0*m**3 + 8 - 18*m**2 - 3*m**3 + 24*m = 0. What is m?
-2, -2/7, 1
Let s = -134256/5 - -26755. Let b = s + 97. Factor 2*j**3 + 14/5*j + 18/5*j**2 + 2/5*j**4 + b.
2*(j + 1)**3*(j + 2)/5
Let k(h) = -3*h**4 - 5*h**3 + 3*h**2 + 33*h - 4. Let s(b) = -b**4 + 7*b. Let i(y) = -k(y) + 4*s(y). Factor i(q).
-(q - 4)*(q - 1)**2*(q + 1)
Let u = -7/120 + 11/24. Determine d, given that 6/5 - 6/5*d**2 - 2/5*d + u*d**3 = 0.
-1, 1, 3
Suppose 47 - 95 = -12*v. Let p(i) be the second derivative of -1/6*i**3 + 0 + 0*i**2 - 1/90*i**6 - v*i + 1/20*i**5 + 1/36*i**4. Factor p(n).
-n*(n - 3)*(n - 1)*(n + 1)/3
Let s(a) be the second derivative of a**6/600 - a**4/40 + a**3/15 - 4*a**2 + 10*a. Let h(o) be the first derivative of s(o). Let h(x) = 0. Calculate x.
-2, 1
Factor -63/4*u + 3/4*u**3 - 27/2 - 3/2*u**2.
3*(u - 6)*(u + 1)*(u + 3)/4
Let r(b) be the second derivative of 2*b**6/5 + 4*b**5/5 - 25*b**4/3 + 52*b**3/3 - 16*b**2 - 194*b. Factor r(d).
4*(d - 1)**2*(d + 4)*(3*d - 2)
Let v(h) be the third derivative of h**8/4032 + h**7/1008 - h**6/24 + 11*h**5/60 + 19*h**2. Let s(a) be the third derivative of v(a). Factor s(c).
5*(c - 2)*(c + 3)
Let c(v) = 2*v**2 + 14*v - 49. Let f(d) = -22*d**2 - 154*d + 550. Let g(l) = 68*c(l) + 6*f(l). Determine i so that g(i) = 0.
-8, 1
Let h = -28 - -14. Let l(b) = -b - 3. Let r be l(h). Determine u, given that r*u**2 + 8*u**3 + u**2 + 2*u**2 - 6*u + 2*u = 0.
-2, 0, 1/4
Factor 24*a**2 + 3*a**3 - 17 + 15*a - 12 - 13.
3*(a - 1)*(a + 2)*(a + 7)
Let t = -41 - -9. Let n be ((-24)/t)/((-6)/4*-1). Find f, given that -n*f**3 + f**2 - 1/2*f + 0 = 0.
0, 1
Let g(d) be the third derivative of 0 + 1/30*d**5 - 15*d**2 + 0*d - 4/3*d**4 + 64/3*d**3. What is f in g(f) = 0?
8
Factor 18*a - 6*a**2 + a**2 - 68*a - 71*a + 190 + 36*a.
-5*(a - 2)*(a + 19)
Let r = 2020 + -2018. Let k be 12/(-18)*(-18)/5. Factor 4*u + k*u**r + 8/5.
4*(u + 1)*(3*u + 2)/5
Let m(v) = v + 1. Let k be m(-1). Suppose -3*u + 19 = 2*j, k*u = -j + 2*u - 8. Factor 0 + 1 - 2 + s**4 - 2*s**2 + j.
(s - 1)**2*(s + 1)**2
Let u(m) be the third derivative of m**7/315 + 17*m**6/60 + 15*m**5/2 + 625*m**4/36 - 91*m**2 - 2*m. Factor u(r).
2*r*(r + 1)*(r + 25)**2/3
Factor -10*l**2 - 10 - 5/3*l**3 - 55/3*l.
-5*(l + 1)*(l + 2)*(l + 3)/3
Let y(d) be the first derivative of -d**6/540 - d**5/90 + d**4/12 - 8*d**3/3 + 12. Let h(j) be the third derivative of y(j). Let h(t) = 0. What is t?
-3, 1
Suppose -99/2*c**2 - 1/2*c**4 + 3/2*c**5 - 10 - 47/2*c**3 - 38*c = 0. Calculate c.
-2, -1, -2/3, 5
Let t be (-1)/(-4) - 133/(-28). Let b(k) be the third derivative of 1/3*k**3 + 6*k**2 - 1/60*k**t + 0 + 1/24*k**4 + 0*k. Let b(c) = 0. What is c?
-1, 2
Let i(h) be the third derivative of -h**7/210 + h**5/20 - h**4/12 - 2*h**2 + 58*h. Factor i(r).
-r*(r - 1)**2*(r + 2)
Let l = 22966 + -252618/11. Let 6/11*u**2 - l*u + 0 + 2/11*u**3 = 0. What is u?
-4, 0, 1
Suppose m + 16 = -4*l, l = 3*l + 3*m + 18. Let j(b) = -14*b - 2. Let v be j(l). Solve 40*h - v*h - h**2 = 0.
0
Let b(r) be the second derivative of -r**8/420 - r**7/105 - r**6/90 + r**3/2 - 2*r. Let p(n) be the second derivative of b(n). Solve p(v) = 0.
-1, 0
Let x(s) = 2*s**2 - 4*s + 6. Let m(w) be the third derivative of -2*w**5/15 + 5*w**4/8 - 25*w**3/6 - 14*w**2. Let p(a) = 4*m(a) + 18*x(a). Solve p(n) = 0.
1, 2
Let v(j) be the first derivative of -j**7/42 - j**6/24 - 11*j**2 - 28. Let d(q) be the second derivative of v(q). Factor d(z).
-5*z**3*(z + 1)
Let x = 469 - 469. Let d(k) be the second derivative of 1/10*k**5 + 0 + x*k**2 - 4*k - 2/21*k**3 - 5/42*k**4. Factor d(i).
2*i*(i - 1)*(7*i + 2)/7
Let v = 2075 + -2075. Determine x so that 5/3*x**4 + v*x + 5/3*x**2 + 0 + 10/3*x**3 = 0.
-1, 0
Let v(i) = -6*i**3 + 4*i**2 - 6*i - 8. Let t(y) = y**3 + 2*y + 1. Let g(u) = -4*t(u) - v(u). Solve g(k) = 0.
-1, 1, 2
Let a(i) = 37*i - 144. Let y be a(4). Find n, given that 12/5*n**3 + 0*n + 4/5*n**2 - 9/5*n**y + 0 - 7/5*n**5 = 0.
-2, -2/7, 0, 1
Suppose -5*d = 2*b + 64, -b + 45 = 2*d - 5*d. Let z = d - -43/3. Solve -1/3*i**2 - z - 2/3*i = 0.
-1
Let l(n) be the second derivative of n**4/30 + 4*n**3/3 + 36*n**2/5 + 66*n - 1. Factor l(o).
2*(o + 2)*(o + 18)/5
Suppose 0 = -0*z - 2*z + 4*p - 8, -z - p + 8 = 0. Let i(b) be the first derivative of -1/2*b**3 + z + 0*b**2 + 0*b + 1/8*b**4. Factor i(s).
s**2*(s - 3)/2
Let m(j) be the first derivative of 7*j**4/2 + 302*j**3/3 + 592*j**2/7 + 24*j - 44. Factor m(d).
2*(d + 21)*(7*d + 2)**2/7
Factor 1/5*f**2 - 1/5*f**4 + 0*f - 1/5*f**5 + 1/5*f**3 + 0.
-f**2*(f - 1)*(f + 1)**2/5
Let t(c) be the third derivative of -18*c**2 - 1/240*c**6 + 1/48*c**5 + 1/96*c**4 - 1/4*c**3 + 0*c + 0. Find g such that t(g) = 0.
-1, 3/2, 2
Let h(c) be the first derivative of -8 + 35/2*c**2 - 5*c**3 - 10*c. Factor h(w).
-5*(w - 2)*(3*w - 1)
Suppose -26 = -5*q + 7*q. Let v = q - -16. Factor -3*o + 5*o**2 - 6*o**4 + o**2 + v*o**5 + 0*o.
3*o*(o - 1)**3*(o + 1)
Let f(p) be the third derivative of -p**8/560 + p**7/280 - 9*p**3/2 + p**2. Let j(c) be the first derivative of f(c). Factor j(g).
-3*g**3*(g - 1)
Let v(u) = -u**2 - u. Let x be v(-4). Let z = -9 - x. Let -10*n**2 - z*n + 16*n**2 - 9*n**2 = 0. What is n?
-1, 0
Let n be (-2)/(-4) + 55/(-10) + -1. Let c(x) = -x**2 - x + 1. Let v(p) = -245*p**3 + 134*p**2 - 26*p