 a(b) = 4*b**2 + 12*b. Let s(g) = -a(g) + 8*y(g). Factor s(k).
-4*k*(k + 1)
Let c(k) be the second derivative of k**3 + 3/5*k**5 + 5/4*k**4 + 0*k**2 + 1/10*k**6 - 4*k + 0. Determine o so that c(o) = 0.
-2, -1, 0
Let k(o) be the first derivative of o**4/5 + 4*o**3/5 - 2*o**2/5 - 12*o/5 - 68. Factor k(i).
4*(i - 1)*(i + 1)*(i + 3)/5
Let k be (2/3)/(2/6). Suppose k*q**2 + 2*q**4 - 2*q + 4*q**3 - 2*q**5 + 2 - 5*q**2 - q**2 = 0. Calculate q.
-1, 1
Let s(n) be the first derivative of 3/4*n**2 - 3/8*n**4 + 0*n + 4 + 0*n**3. Find j, given that s(j) = 0.
-1, 0, 1
Let a(o) be the first derivative of o**6/144 + o**5/80 - o**4/24 + 5*o**3/3 - 2. Let w(u) be the third derivative of a(u). What is f in w(f) = 0?
-1, 2/5
Let x = 2 - 2. Suppose -z - 15 = 5*p, -5*z + 4*p + 30 + 11 = x. Determine w, given that 2 - 4*w + z*w**2 - w**2 - 2*w**2 = 0.
1
Let q(p) be the third derivative of 2*p**2 - 1/30*p**5 + 0*p - 1/12*p**4 + 2/3*p**3 + 0. Factor q(t).
-2*(t - 1)*(t + 2)
Let w(o) = 4*o + 4. Let d be w(-3). Let s be (45/(-2))/(6/d). Factor 9*r**3 + 4*r**3 - s*r**2 + 24*r + 9 - 1 - 5*r**3.
2*(r - 2)**2*(4*r + 1)
Let d = -1 - 1. Let k(y) = 4*y**2 + 13*y + 9. Let t(g) = 2*g**2 + 6*g + 4. Let z(x) = d*k(x) + 5*t(x). Factor z(q).
2*(q + 1)**2
Let d(p) be the first derivative of -p**6/36 - 2*p**5/15 - p**4/8 + 2*p**3/9 + p**2/3 + 58. Determine y so that d(y) = 0.
-2, -1, 0, 1
Let r(d) = d**3 - 7*d**2 + 4*d - 2. Let z be r(6). Let j be (-30)/z - 3 - -2. Factor -2/7*h**2 + 0*h + 6/7*h**3 + 0 + j*h**4.
2*h**2*(h + 1)*(4*h - 1)/7
Let z = 13 - 8. What is a in 0*a**3 + 3*a**5 - 4*a**z - a + 2*a**3 = 0?
-1, 0, 1
Suppose 3*u + 60 = -z, -4*u + 4*z = z + 93. Let i be 16/7 - (-6)/u. Factor -i*x**2 + x**2 + x**3 - x**4 + x**3.
-x**2*(x - 1)**2
Let j(o) be the third derivative of 0*o + o**2 + 0*o**3 + 0 - 1/60*o**5 - 1/24*o**4. Find v such that j(v) = 0.
-1, 0
Let k(m) = 2*m**3 - 12*m**2 + 6*m + 6. Let d(p) = -4*p**3 + 23*p**2 - 11*p - 11. Let s(i) = -6*d(i) - 11*k(i). Factor s(j).
2*j**2*(j - 3)
Let o(b) be the first derivative of 2*b**3/33 + 4*b**2/11 - 22. Determine x so that o(x) = 0.
-4, 0
Let u = -290 - -887/3. Factor 40/3*o**2 + u*o + 16/3*o**3 + 2/3.
(o + 2)*(4*o + 1)**2/3
Let j be 95/30 - (-3)/(-1). Let t(w) be the third derivative of -1/12*w**3 + w**2 - 11/60*w**5 - j*w**4 - 3/140*w**7 - 1/10*w**6 + 0 + 0*w. Factor t(y).
-(y + 1)**2*(3*y + 1)**2/2
Let v be (2*3/2)/1. Factor 5*w**3 - 2*w**3 - 6*w + 2*w - 5*w**v - 6*w**2.
-2*w*(w + 1)*(w + 2)
Suppose -30/11*i + 18/11*i**2 - 6/11*i**4 + 12/11 + 6/11*i**3 = 0. Calculate i.
-2, 1
Suppose 19 - 27 = -2*d. Suppose -3*i + 9*i - d*i**3 - 6*i = 0. What is i?
0
Factor 3/4 - 1/4*t**2 - 1/2*t.
-(t - 1)*(t + 3)/4
Let s(q) be the first derivative of -q**8/32 + q**7/28 + q**6/5 + q**5/10 - q**2/2 - 3. Let w(l) be the second derivative of s(l). What is u in w(u) = 0?
-1, -2/7, 0, 2
Suppose -3*n - 2*a = -0*n - 7, 5 = -n + 3*a. Let t(y) be the first derivative of -n - 4/5*y + 2/15*y**3 + 1/5*y**2. What is z in t(z) = 0?
-2, 1
Let l(a) be the first derivative of a**4/8 + a**3/6 - a**2/4 - a/2 - 5. Factor l(g).
(g - 1)*(g + 1)**2/2
Let b be 5/(-65) - (-189)/91. Factor 0 - 4*h**3 - 8/3*h**4 - 2/3*h - 8/3*h**b - 2/3*h**5.
-2*h*(h + 1)**4/3
Let o be (2/(-63))/((-64)/96). Let k(a) be the second derivative of 0 + a + o*a**4 - 1/21*a**3 - 2/7*a**2 + 1/70*a**5. Suppose k(j) = 0. Calculate j.
-2, -1, 1
Find b such that -2/11*b**2 - 1/11*b**3 + 1/11*b + 2/11 = 0.
-2, -1, 1
Solve -2/11*r - 1/11 - 1/11*r**2 = 0.
-1
Let a(b) = -14*b**2 - 3*b. Let g be (-396)/63 + 4/14. Let j(v) = 5*v**2 + v. Let f(d) = g*a(d) - 17*j(d). Factor f(z).
-z*(z - 1)
Let h(f) be the first derivative of f**4/8 + 4*f**3/3 + 3*f**2 + 37. Suppose h(r) = 0. What is r?
-6, -2, 0
Let n be (-4)/1 - (8 - 8). Let g = n + 7. Factor 0*c - 2/9*c**5 + 2/9*c**g - 2/9*c**4 + 0 + 2/9*c**2.
-2*c**2*(c - 1)*(c + 1)**2/9
Let b(z) = 5*z**2 + 26*z + 196. Let m(l) = 12*l**2 + 51*l + 392. Let u(y) = 15*b(y) - 6*m(y). Factor u(q).
3*(q + 14)**2
Let y(i) = i**3 + 2*i**2 - 5*i - 2. Let h be y(-3). Factor -h*l**4 - 6*l**2 - 2*l - l**4 - 6*l**3 + 3*l**4.
-2*l*(l + 1)**3
Let n(w) be the third derivative of 0*w**3 + 7*w**2 + 0*w**6 + 0 + 0*w + 1/168*w**8 + 1/15*w**5 - 1/12*w**4 - 2/105*w**7. Solve n(l) = 0 for l.
-1, 0, 1
Let p be (-1)/((1 - 3)/4). What is i in 0*i + 0*i - p*i + i**2 = 0?
0, 2
Let g(l) = 23*l**4 - 5*l**3 - 6*l**2 - 12*l + 17. Let o(k) = -7 + 2*k**3 + 1 + 12*k - 8*k**4 + 2*k**2 - 8*k. Let v(h) = 6*g(h) + 17*o(h). What is z in v(z) = 0?
-2, -1, 0, 1
Let 5*t**2 - t**3 + 4*t**3 + 12*t + 7*t**2 + 0*t**3 = 0. What is t?
-2, 0
Suppose 22/3*k**3 - 2/3*k**4 + 32/3*k - 24*k**2 + 128/3 = 0. What is k?
-1, 4
Suppose 4*o**2 - 2*o**4 + 188 - 188 - 2*o**3 = 0. Calculate o.
-2, 0, 1
Let o(t) be the second derivative of -t**4/78 + 2*t**3/39 - t**2/13 - 9*t. Factor o(s).
-2*(s - 1)**2/13
Let q(r) = r**5 - 13*r**4 + 6*r**3 - r**2 + 7*r - 7. Let w(x) = -4*x**4 + 2*x**3 + 2*x - 2. Let l(k) = 2*q(k) - 7*w(k). Factor l(o).
2*o**2*(o - 1)*(o + 1)**2
Suppose 8 = 3*v - 4. Suppose -5*c - v*j = -8, 0 = 3*c + 3*j - 0*j - 3. Factor c - 2*p**2 + 7*p**3 - 5 - 7*p + 3.
(p - 1)*(p + 1)*(7*p - 2)
Let i(y) be the third derivative of 0 + 0*y**3 + 1/135*y**6 + 7*y**2 + 1/54*y**4 + 1/30*y**5 + 0*y. Factor i(r).
2*r*(r + 2)*(4*r + 1)/9
Let a be (6 - 2 - 0) + 44/(-11). Find q such that 3/4*q**4 - 3/4*q**3 + 1/4*q**2 - 1/4*q**5 + a + 0*q = 0.
0, 1
Let b(s) = -s**4 - 13*s**2 + 6*s - 4. Let a(n) = -6*n**4 - 66*n**2 + 30*n - 21. Let r(d) = 4*a(d) - 21*b(d). Find z such that r(z) = 0.
-2, 0, 1
Let m(a) be the first derivative of -4*a**6/3 + 2*a**5 + 3*a**4/2 - 10*a**3/3 + a**2 + 13. Suppose m(j) = 0. Calculate j.
-1, 0, 1/4, 1
Let o = -1/51 + 35/51. Let a(b) be the first derivative of 1/3*b**6 + o*b**2 + 0*b - 2/15*b**5 + 2 + 2/9*b**3 - 5/6*b**4. Suppose a(y) = 0. What is y?
-1, -2/3, 0, 1
Let c = 149/4 + -1035/28. Factor c - 2/7*h**2 + 0*h.
-2*(h - 1)*(h + 1)/7
Let v(b) be the first derivative of -2*b**5/65 - b**4/26 - 28. Suppose v(t) = 0. Calculate t.
-1, 0
Let d(s) be the first derivative of -s**6/10 + 3*s**5/10 - s**4/4 + 3*s - 4. Let m(c) be the first derivative of d(c). Find l, given that m(l) = 0.
0, 1
Let -5/4*v**5 - 5/4*v**4 + 5 - 10*v + 5/4*v**2 + 25/4*v**3 = 0. What is v?
-2, 1
Suppose -5*l = -3*m + 1, -m - 5*l + 15 = 4*m. Solve -8*a**5 - 16*a**4 + 4*a**m - 6*a**2 - 5*a**3 - 5*a**3 = 0 for a.
-1, -1/2, 0
Suppose x + 0 - 8 = 4*r, 3*x + r = -2. Let y(d) be the second derivative of 1/18*d**4 - 1/45*d**6 - 1/9*d**3 + x - 2*d + 0*d**2 + 1/30*d**5. Factor y(u).
-2*u*(u - 1)**2*(u + 1)/3
Let c(i) be the third derivative of -i**6/40 + i**5/10 + i**4/8 - i**3 + 19*i**2. Factor c(x).
-3*(x - 2)*(x - 1)*(x + 1)
Let v(i) = i**3 - 7*i**2 - 7*i + 7. Let h(y) = -y**3 + 5*y**2 + 5*y - 5. Let n(g) = -7*h(g) - 5*v(g). What is k in n(k) = 0?
0
Factor -9/10 - 7/10*t**2 + 1/10*t**3 - 17/10*t.
(t - 9)*(t + 1)**2/10
Find p, given that 0 - 3/7*p**2 + 3/7*p = 0.
0, 1
Let p = -833 - -4168/5. Factor 1/5*m**3 + 0*m - 4/5 + p*m**2.
(m - 1)*(m + 2)**2/5
Let b(r) = 2*r**2 + r. Let f be b(-1). Factor 2*m + 3*m**3 + m**2 - 4*m**3 - 2*m**2 + f - m.
-(m - 1)*(m + 1)**2
Suppose 0 = -0*n - 2*n - 3*g + 49, n = -3*g + 26. Let c = -2 + 4. Find l such that 1 - 4*l - 23*l**c + 4*l**3 - 2*l**4 + n*l**2 + 1 = 0.
-1, 1
Factor -8/3*d + 8/3 - 2*d**2 + 2/3*d**4 + 4/3*d**3.
2*(d - 1)**2*(d + 2)**2/3
Let i be (-18)/84*(-1 - (1 + 10)). Find c, given that -10/7*c**3 - i*c**2 - 4/7 - 2/7*c**4 - 2*c = 0.
-2, -1
Let l(b) be the first derivative of 1/2*b**4 + 2/5*b**5 + 1 + 2/9*b**3 + 0*b**2 + 1/9*b**6 + 0*b. Factor l(m).
2*m**2*(m + 1)**3/3
Let y(w) = -1. Let r(o) = -10 - 5*o**4 + 9*o**2 - 4*o + 6*o**3 - 4*o**4 + 4*o**2 - 2*o**2. Let j(m) = -r(m) + 6*y(m). Factor j(l).
(l - 1)**2*(3*l + 2)**2
Suppose q**2 + 1 + 2*q + 2*q**5 + 5*q + 3*q**2 + 2*q**3 - 11*q - 5*q**4 = 0. What is q?
-1, 1/2, 1
Let g(x) be the first derivative of -x**3/9 + x**2 - 3*x + 17. Determine v, given that g(v) = 0.
3
Suppose -u + 5*u - 60 = 0. Let o be (8/(-5))/((-42)/u). Let 2/7*i**2 + o*i**5 + 0*i - 2/7*i**4 + 0 - 4/7*i**3 = 0. What is i?
-1, 0, 1/2, 1
Suppose 4*f**3 - 6*f**2 - f - 1 - f**4 - 4*f**4 + 4*f**4 + 5*f = 0. Calculate f.
1
Suppose 0 = -s + 3*h - 25 + 5, -140 = 5*s + 5*h. Let f be 2 - 4 - s/6. Fa