+ 4*j**3 - 18466*j.
4*j**3
Suppose 0 + 7/4*u**3 + 11/4*u**4 - 9/4*u**5 + 1/2*u - 11/4*u**2 = 0. Calculate u.
-1, 0, 2/9, 1
Factor 0 + 0*n - 2/3*n**5 + 10/9*n**4 - 2/9*n**2 - 2/9*n**3.
-2*n**2*(n - 1)**2*(3*n + 1)/9
Let x(u) be the first derivative of -2*u**5/5 - 5*u**4/2 - 6*u**3 - 7*u**2 - 4*u + 38. Suppose x(a) = 0. What is a?
-2, -1
Let p(v) be the first derivative of -2 - 1/270*v**5 - 1/27*v**3 - 1/54*v**4 + 0*v + 1/2*v**2. Let d(r) be the second derivative of p(r). Factor d(i).
-2*(i + 1)**2/9
Let d(o) = -9*o**5 + 6*o**3 - 6*o. Let a(s) = -26*s**5 - s**4 + 17*s**3 - 17*s. Let n(x) = -6*a(x) + 17*d(x). Determine m so that n(m) = 0.
-2, 0
Let s = 53/2 + -26. Factor -s*a + 1/4 + 1/4*a**2.
(a - 1)**2/4
Let j(b) be the first derivative of 9*b**4/20 - 7*b**3/5 + 12*b/5 - 5. Factor j(v).
3*(v - 2)*(v - 1)*(3*v + 2)/5
Let b(t) be the second derivative of 0 + 0*t**3 + 1/168*t**7 + 0*t**5 - 2*t + 0*t**2 - 1/120*t**6 + 0*t**4. Suppose b(s) = 0. What is s?
0, 1
Let z be 2 - (-3 + 5) - 0/(-2). Let y(f) be the second derivative of 17/6*f**4 - f + 10/3*f**3 + z - 21/20*f**5 - 4*f**2. Factor y(v).
-(v - 2)*(3*v + 2)*(7*v - 2)
Let c(d) = 3*d**2 - 13*d - 7. Let v be c(5). Let p(g) be the first derivative of -1/8*g**4 + 0*g**5 + 1/8*g**2 + 1/24*g**6 + 0*g**3 + 0*g + v. Factor p(z).
z*(z - 1)**2*(z + 1)**2/4
Let d(h) be the third derivative of -h**5/30 + h**4/3 - 4*h**3/3 - 2*h**2. Let y(i) = 6*i**2 - 24*i + 24. Let n(z) = -16*d(z) - 5*y(z). Solve n(k) = 0 for k.
2
Let s(j) = j**3 + 2*j**2 + 7*j - 6. Let m(r) = 2*r - 2. Let k be m(4). Let c(n) = 9 + n - 8 - 2. Let w(a) = k*c(a) - s(a). Find l, given that w(l) = 0.
-1, 0
Let k(v) be the first derivative of 6*v**6 - 20*v**5 + 21*v**4 - 4*v**3 - 4*v**2 + 34. Factor k(b).
4*b*(b - 1)**3*(9*b + 2)
Suppose 2*c - 7*c + 40 = 0. Let -4*i - i + 14*i**3 + 4*i**2 + c*i**4 + 3*i = 0. Calculate i.
-1, 0, 1/4
Suppose -3 = 2*s + y - 4, -s + 4*y = -23. Suppose 0*j = s*j - 3*l + 6, -3*l + 9 = -2*j. Factor 0 + b + 1/4*b**j + b**2.
b*(b + 2)**2/4
Find a, given that 2/5*a**3 - 4/5 + 2/5*a**4 - 2*a - 6/5*a**2 = 0.
-1, 2
Let n(b) be the first derivative of b**6/1260 + b**5/140 + b**4/42 + 5*b**3/3 - 2. Let c(k) be the third derivative of n(k). Solve c(a) = 0 for a.
-2, -1
Let t = -2 - 11. Let z be 6/(-39) + (-2)/t. Solve 6/7*l**2 + z + 4/7*l - 4/7*l**3 = 0 for l.
-1/2, 0, 2
Let k be 0 - (-7 + 0 + 2). Solve 6 + 4*i**2 + k*i + 0 - 5 = 0 for i.
-1, -1/4
Suppose 4*v + 35 - 47 = 0. Let a(j) be the second derivative of 0 + 1/33*j**v - 1/165*j**6 + 1/66*j**4 + 3*j - 1/110*j**5 + 0*j**2. What is f in a(f) = 0?
-1, 0, 1
Let p(s) = 5*s**2 - 56*s + 180. Let n(d) = -10*d**2 + 111*d - 360. Let q(x) = -4*n(x) - 9*p(x). Factor q(h).
-5*(h - 6)**2
Suppose -19*s = -37*s + 36. Suppose -2 - 13/2*b**s + 6*b + 3*b**3 - 1/2*b**4 = 0. Calculate b.
1, 2
Let a be 5/20*-1*-1. Factor a*r + 0 - 1/4*r**2.
-r*(r - 1)/4
Let i be (-5)/(-540)*69 - 1/2. Let g(s) be the second derivative of i*s**3 + 0 - s + 1/6*s**2 - 1/24*s**4. Suppose g(l) = 0. What is l?
-1/3, 2
Let z(k) be the third derivative of k**5/120 - 11*k**4/24 + 121*k**3/12 + 32*k**2. Factor z(w).
(w - 11)**2/2
Let a(v) be the third derivative of v**6/24 - v**5/4 - 5*v**4/24 + 5*v**3/2 - 14*v**2. Factor a(x).
5*(x - 3)*(x - 1)*(x + 1)
Let s(i) = i**3 + i**2 - i. Let m(u) = 12*u**3 + 15*u**2 - 12*u. Let b(a) = -m(a) + 15*s(a). Factor b(c).
3*c*(c - 1)*(c + 1)
Let k(g) = g**3 + g**2 - g - 40. Let n be k(0). Let v be 10/n + 26/8. Factor 0 + 4/7*m**4 - 2/7*m - 4/7*m**2 + 2/7*m**5 + 0*m**v.
2*m*(m - 1)*(m + 1)**3/7
Suppose -1/4*i**4 - 5/4*i**3 - i - 2*i**2 + 0 = 0. What is i?
-2, -1, 0
Let l(z) be the third derivative of z**8/1512 + z**7/945 - z**6/180 - z**5/54 - z**4/54 + 3*z**2. Factor l(q).
2*q*(q - 2)*(q + 1)**3/9
Factor -2/7 + 1/7*v + 1/7*v**2.
(v - 1)*(v + 2)/7
Factor 2*f**2 - 4*f**3 + 1 - 3 + 2*f**4 + 2.
2*f**2*(f - 1)**2
Let s(m) = 1. Let y(w) = w**2 + w - 2. Let c(v) = 2*s(v) + y(v). Let o(h) = h**3 - 3*h**2 - 3*h + 1. Let j(i) = 6*c(i) + o(i). Suppose j(k) = 0. Calculate k.
-1
Let v be 48/10 - (-2)/10. Suppose 3*q = 5*o + 5, -v*o - 3*q = -18 - 7. What is n in 5*n - 5*n - 2*n**3 - o*n**4 = 0?
-1, 0
Let j(y) be the second derivative of -y**5/110 + y**4/22 - 2*y**3/33 - 19*y. Factor j(x).
-2*x*(x - 2)*(x - 1)/11
Suppose -z - 2*z + 1 = -2*t, -z + 5*t + 22 = 0. Let o be (-6)/(-16)*(-2)/z. What is n in 1/4*n + 1/4*n**2 - o*n**4 - 1/4*n**3 + 0 = 0?
-1, 0, 1
Let -4/7*p**2 + 4/7 + 0*p = 0. Calculate p.
-1, 1
Suppose 0 = -3*w - 2*w + 15. Factor -37 + 4*c**2 + 37 - 6*c**w.
-2*c**2*(3*c - 2)
Factor -1/7*q**4 + 3/7*q**3 + 3/7*q**2 - 6/7 - q.
-(q - 3)*(q - 2)*(q + 1)**2/7
Factor -406*m**2 + 3*m - 5*m + 408*m**2.
2*m*(m - 1)
Let c(m) be the first derivative of -4/3*m + 2/3*m**2 - 1/9*m**3 + 3. What is a in c(a) = 0?
2
Let b(v) be the first derivative of 0*v + 1/7*v**2 - 8/35*v**5 - 8/21*v**3 + 3/7*v**4 - 4 + 1/21*v**6. Factor b(z).
2*z*(z - 1)**4/7
Let n(a) be the second derivative of a**4/4 - 2*a**3 + 9*a**2/2 - 2*a. Determine h, given that n(h) = 0.
1, 3
Suppose -1 = -4*y + 11. Factor -27*s + 21*s + 0*s**4 + y*s**4 - 3 + 6*s**3.
3*(s - 1)*(s + 1)**3
Let m(s) = -s**2 + 5*s - 1. Let j be m(4). Factor 4/5 + 2/5*o**j - 6/5*o + 0*o**2.
2*(o - 1)**2*(o + 2)/5
What is b in 1/3*b**5 + b**2 - b**4 + 0 + 0*b - 1/3*b**3 = 0?
-1, 0, 1, 3
Suppose 0 = 21*m - 0*m - 42. Solve -2/3*v + 0 - 4/3*v**3 + 1/3*v**4 + 5/3*v**m = 0 for v.
0, 1, 2
Let k(i) be the second derivative of 6*i + 1/12*i**4 + 0 - 1/60*i**6 - 1/12*i**3 + 1/20*i**5 - 1/4*i**2 - 1/84*i**7. Find w, given that k(w) = 0.
-1, 1
Let c(g) = g**4 - g**3 - g**2 + g - 1. Let x(w) = 4*w**5 + 51*w**4 + 176*w**3 + 204*w**2 - 60*w - 4. Let v(q) = 4*c(q) - x(q). Find p such that v(p) = 0.
-4, 0, 1/4
Let q(d) be the first derivative of 0*d**2 + 0*d - 5 - 2/21*d**3. Factor q(c).
-2*c**2/7
Let i(a) = 6*a + 38. Let b be i(-6). What is u in 0 + 0*u**b + 0*u**3 + 0*u + 2*u**5 + 4/7*u**4 = 0?
-2/7, 0
Let n = 30490778768/4745 - 32129359/5. Let m = n - -1/949. Determine f so that 14/5*f**5 - 4/5*f - 18/5*f**4 + 0 + m*f**2 - 2*f**3 = 0.
-1, 0, 2/7, 1
Factor 1/3*x**2 - 1/3 + 1/2*x.
(x + 2)*(2*x - 1)/6
Factor 2*s**3 + 18*s**2 + s**4 - 16*s**2 + 0*s**3 + s**3.
s**2*(s + 1)*(s + 2)
Let m(s) be the third derivative of s**5/75 - s**4/30 - 7*s**2. What is f in m(f) = 0?
0, 1
What is h in -2/5 + 48/5*h**4 + 18/5*h - 32/5*h**5 + 14/5*h**3 - 46/5*h**2 = 0?
-1, 1/4, 1
Let t(n) be the first derivative of 1 + 0*n**5 + 1/13*n**2 - 1/13*n**4 + 0*n**3 + 1/39*n**6 + 0*n. What is u in t(u) = 0?
-1, 0, 1
Suppose 0 = -3*f - 4*h - 162, -4*h = 5*f + h + 265. Let d be (8/14)/(f/(-35)). Find s such that 0 + 0*s**2 - 2/5*s**3 + d*s = 0.
-1, 0, 1
Let t be ((-16)/4)/(0 + -2). Factor 4*q - 12*q**2 - 6*q**t + 9*q**3 + 5*q**3.
2*q*(q - 1)*(7*q - 2)
Find c such that -c - 4*c**2 - 8 + 6*c + 7*c = 0.
1, 2
Factor 0*n**4 - 17*n**5 + 8*n**5 + 9*n**2 - 9*n**3 + 3*n + 3*n - 21*n**4.
-3*n*(n + 1)**3*(3*n - 2)
Let p(a) be the third derivative of 0 + 1/16*a**4 + 1/20*a**5 + 0*a + 1/24*a**3 + 1/60*a**6 + 3*a**2. Factor p(f).
(2*f + 1)**3/4
Let s(a) be the first derivative of a**4/30 - a**2/5 - 3*a - 2. Let x(i) be the first derivative of s(i). Let x(k) = 0. What is k?
-1, 1
Let n = -18587/59 - -315. Let a = 462/295 - n. Solve 4/5*i**2 + 2*i**3 + 0 + a*i**4 + 0*i + 2/5*i**5 = 0 for i.
-2, -1, 0
Let k(r) be the first derivative of -r**5/160 + r**4/64 + 2*r**2 + 7. Let a(c) be the second derivative of k(c). Factor a(d).
-3*d*(d - 1)/8
Determine q, given that 3/4 + 0*q**2 - 3/2*q - 3/4*q**4 + 3/2*q**3 = 0.
-1, 1
Let l be 6/(-9) - (-44)/12. Suppose 5*h + l*g + 2 = 0, 0*g + 12 = -3*g. Suppose 0 + 4/9*u - 2/9*u**h = 0. Calculate u.
0, 2
Let 3/5*g**4 - 3/5*g**3 + 0 + 0*g**2 + 0*g = 0. What is g?
0, 1
Let w(q) be the second derivative of q**7/840 + q**6/360 - q**3/6 + 4*q. Let r(b) be the second derivative of w(b). Determine f so that r(f) = 0.
-1, 0
Let w(j) be the third derivative of 0 - j**2 - 9/8*j**4 + 0*j - 7/20*j**5 - j**3. Factor w(o).
-3*(o + 1)*(7*o + 2)
Let y(t) be the third derivative of -t**5/20 - 2*t**2. Factor y(i).
-3*i**2
Let m(y) be the third derivative of -y**7/140 + y**5/40 + 10*y**2. Factor m(z).
-3*z**2*(z - 1)*(z + 1)/2
Let j(p) be the first derivative of -3*p**4/10 - 14*p**3/15 - 2*p**2/5 + 4. Factor j(l).
-