l*(l + 2)
Let n be (-2)/(-12) - (-62490)/(-180). Let y = 1051/3 + n. Factor y*j + 2/3 + 2*j**2 - 6*j**3.
-2*(j - 1)*(3*j + 1)**2/3
Let z(x) be the second derivative of 0 + 13*x + 0*x**2 + 0*x**3 + 1/16*x**5 + 5/48*x**4. Determine m so that z(m) = 0.
-1, 0
Let q(l) be the first derivative of -l**6/12 - 3*l**5/10 - l**4/4 + 11. Factor q(s).
-s**3*(s + 1)*(s + 2)/2
Let p be (-38)/(-6) + 9/(-27). Factor -5*f**2 - 15*f**3 + 10*f - 6 + 0 + p.
-5*f*(f + 1)*(3*f - 2)
Let h(y) be the first derivative of -y**7/14 + y**6/5 + 9*y**5/20 - 9*y + 11. Let q(b) be the first derivative of h(b). What is z in q(z) = 0?
-1, 0, 3
Let x(r) be the third derivative of 0*r - 1/35*r**6 + 6*r**2 - 1/21*r**4 + 11/210*r**5 + 0 + 3/490*r**7 + 1/42*r**3. Suppose x(v) = 0. What is v?
1/3, 1
Let m(d) be the third derivative of d**9/22680 + d**8/5040 + d**7/3780 - 4*d**4/3 - 6*d**2. Let l(o) be the second derivative of m(o). Factor l(i).
2*i**2*(i + 1)**2/3
Let -2/13*q**4 + 0 - 6/13*q**3 - 4/13*q**2 + 0*q = 0. Calculate q.
-2, -1, 0
What is n in 45/2*n**4 + 15/2*n**2 + 95/2*n**3 + 5/2*n**5 - 30 - 50*n = 0?
-6, -2, -1, 1
Let r(s) be the second derivative of -15*s**7/77 - 19*s**6/55 - s**5/22 + 3*s**4/22 + 2*s**3/33 + 84*s. Find p, given that r(p) = 0.
-1, -1/3, 0, 2/5
Let u(t) = -54*t. Let y(v) = v**2 - 271*v. Let k(z) = 22*u(z) - 4*y(z). Let k(f) = 0. What is f?
-26, 0
Let p(s) = 0*s**3 - s**3 - 12*s - 11*s + 22*s - 17 + 6*s**2. Let k be p(5). Factor 0*o + 0 - 1/2*o**5 + 3/2*o**4 - 3/2*o**k + 1/2*o**2.
-o**2*(o - 1)**3/2
Let -28/3*s + 2/3 + 98/3*s**2 = 0. What is s?
1/7
Let d(j) be the first derivative of -14/3*j**3 - 10*j - 11*j**2 + 21 - 1/2*j**4. Factor d(p).
-2*(p + 1)**2*(p + 5)
Suppose -2*v - 20 = -2*q, 5*v + 34 = -36*q + 37*q. Factor -125/3*u + 1/3*u**q + 0 + 25*u**2 - 5*u**3.
u*(u - 5)**3/3
Factor 2/3*l - 2/15*l**2 + 24/5.
-2*(l - 9)*(l + 4)/15
Let l(y) = 1986*y + 11918. Let k be l(-6). What is o in 0 + 3/2*o**3 + 18*o**k + 54*o = 0?
-6, 0
Let m(j) be the third derivative of -j**8/5880 + j**7/735 - j**6/315 - 4*j**3/3 - 19*j**2. Let x(p) be the first derivative of m(p). Factor x(r).
-2*r**2*(r - 2)**2/7
Let m(p) = -5*p**3 + 11*p**2 + 14*p - 17. Let q(t) = t**3 - t**2 - 1. Let s(v) = -m(v) - 3*q(v). Solve s(k) = 0 for k.
-2, 1, 5
Factor -2*f**3 - 6*f**2 - 43 + 5*f**3 - 9*f - 48 + 91.
3*f*(f - 3)*(f + 1)
Factor 8/7*l - 2/7*l**2 - 8/7.
-2*(l - 2)**2/7
Let f be -3 - (-54)/((-12)/4). Let o be 1*(-7)/(f/6). Factor 9*i**o - i - i**4 - 3*i**3 - 5*i**2 - 7*i**2.
-i*(i + 1)**3
Suppose 30*p - 40*p = -150. Let m(k) be the first derivative of -25/2*k**2 - 5/3*k**3 - 7 + 5/4*k**4 - p*k. What is o in m(o) = 0?
-1, 3
Let l(n) be the first derivative of 6*n**2 + 1/4*n**4 - 72*n + 10/3*n**3 - 38. Factor l(m).
(m - 2)*(m + 6)**2
Solve 24 - 71*v - 5*v**3 + 12369*v**2 - 12468*v**2 + v**3 = 0.
-24, -1, 1/4
Factor -4*t**4 - 1879*t**2 - 15*t**3 - 4*t**4 + 1869*t**2 + 3*t**4.
-5*t**2*(t + 1)*(t + 2)
Let o = 27/235 + 4/47. Let j be (-1)/(-5)*(-3)/(-1). Factor -j*b**3 - 3/5*b**2 + 0 - 1/5*b**4 - o*b.
-b*(b + 1)**3/5
Let w(v) be the first derivative of v**5 - 105*v**4/4 + 530*v**3/3 - 240*v**2 - 1120*v + 425. Solve w(o) = 0.
-1, 4, 14
Let b be 18*(-1)/(-10) + 11/55. Let h(a) be the third derivative of 0*a**3 + 0*a + 0 + 1/12*a**4 - 1/120*a**6 + 1/60*a**5 + 2*a**b. Let h(x) = 0. Calculate x.
-1, 0, 2
Let r = -236 - -241. Let u(y) be the third derivative of 0*y**3 + 0*y + 1/24*y**4 + 0*y**6 + 5*y**2 + 0 - 1/40*y**r + 1/420*y**7. Factor u(l).
l*(l - 1)**2*(l + 2)/2
Factor -17*r**3 - 2*r**3 - 6*r + r**2 + r**3 + 19*r**3.
r*(r - 2)*(r + 3)
Let b = 19 - 2. Let t be -11 + b - (5 - 1). Factor 4/7 + 4/7*h**t + 10/7*h.
2*(h + 2)*(2*h + 1)/7
Let t(w) be the third derivative of -w**8/84 + 8*w**7/105 - 2*w**6/15 - 2*w**5/15 + 5*w**4/6 - 4*w**3/3 + 3*w**2 + 86. Factor t(z).
-4*(z - 2)*(z - 1)**3*(z + 1)
Suppose -3*k - 1 = 3*l - 37, 2*l = -4*k + 18. Factor -8 - z**2 - l*z + 3*z - z**2 - 2*z**2.
-4*(z + 1)*(z + 2)
Factor 44/19*h + 2/19*h**2 + 42/19.
2*(h + 1)*(h + 21)/19
Let u(w) = 6*w + 154. Let n be u(-25). Let g(a) be the second derivative of -4*a + 0 - 1/24*a**n + 1/2*a**2 + 1/12*a**3. Factor g(t).
-(t - 2)*(t + 1)/2
Suppose 0 = -7*y - y. Let a(n) be the first derivative of 1/5*n**3 - 1 + 0*n + y*n**2 - 1/20*n**4. Factor a(t).
-t**2*(t - 3)/5
Let s(q) = q**4 - 2*q**3 + q - 1. Let i(u) = u**5 - 3*u**4 - 2*u**3 + 4*u**2 + 6*u + 2. Let d(b) = i(b) + 2*s(b). Determine h, given that d(h) = 0.
-2, -1, 0, 2
Let h(y) be the third derivative of 15*y**2 - 1/30*y**6 - 4/3*y**3 + 0 + 0*y + 1/2*y**4 + 0*y**5. Determine i so that h(i) = 0.
-2, 1
Let w = -1634/15 - -109. Let q(a) be the third derivative of 0 - 1/525*a**7 + w*a**3 + 6*a**2 + 1/30*a**4 - 1/150*a**6 + 0*a + 0*a**5. Let q(y) = 0. What is y?
-1, 1
What is k in 1/5*k**4 - 8/5*k - 3/5 - 6/5*k**2 + 0*k**3 = 0?
-1, 3
Determine r so that -1/7*r**2 - 1/7*r + 1/7*r**3 + 1/7 = 0.
-1, 1
Let -8 + 10*f - 8*f**3 - 32*f + 0*f**2 + 8*f**2 + 30*f**3 = 0. Calculate f.
-1, -4/11, 1
Let q be (-2 - 1/(-2))/(1131/4). Let s = 3756/2639 - q. Factor -s*g - 8/7*g**2 - 2/7*g**3 - 4/7.
-2*(g + 1)**2*(g + 2)/7
Let r(x) = 4*x - x**2 - 6*x**2 + 3 + 11*x**2. Let v be r(-1). Determine b, given that -14/3*b**5 + 6*b**4 + 0 + 8*b**v - 8/3*b**2 + 0*b = 0.
-1, 0, 2/7, 2
Let j(a) be the third derivative of a**6/420 - a**5/35 + 32*a**3/21 - 50*a**2. Find z such that j(z) = 0.
-2, 4
Let o be ((114/(-8))/(-3))/((-42)/32). Let t = o + 16/3. Solve -t*b**3 + 12/7*b**4 - 4/7*b**5 + 0*b + 4/7*b**2 + 0 = 0.
0, 1
Let -18*q**2 - 256*q + 11*q**2 + 18*q**2 - q**3 + 21*q**2 = 0. Calculate q.
0, 16
Factor -16/5*r + 2/5*r**2 + 24/5.
2*(r - 6)*(r - 2)/5
Suppose 2*i = -2*y + 6, -y - 2*y - 2*i = -6. Suppose -5*s + 15 = -y. Factor -6*l - 2*l**s - 2 + 0*l**2 - 6*l**2 + 0.
-2*(l + 1)**3
Let y = 45218/9 - 5024. Find m such that -8/9*m**4 + 4/9*m**2 + 10/9*m - y*m**5 + 4/9 - 8/9*m**3 = 0.
-2, -1, 1
Let r = 291/20 - 29/2. Let q(y) be the third derivative of 0*y**3 + 6*y**2 - r*y**5 + 0*y + 0 - 1/40*y**6 + 0*y**4. Factor q(u).
-3*u**2*(u + 1)
Let t(q) be the third derivative of 0*q + 0*q**3 + 0 - 1/300*q**5 + 10*q**2 + 1/30*q**4. Factor t(u).
-u*(u - 4)/5
Let f(j) = -2*j**2 + 45*j - 13. Let s be f(22). Let a(h) be the first derivative of 1/3*h**2 + 4/9*h - s + 2/27*h**3. Factor a(i).
2*(i + 1)*(i + 2)/9
Let h be ((-72)/(-546) + 10/65)/(50/140). Factor 8/5 - 4*v + 12/5*v**2 - h*v**4 + 4/5*v**3.
-4*(v - 1)**3*(v + 2)/5
Suppose 4*z - 94 = 106. Factor -7*a**2 + a**2 - 25*a + 20 - z + a**2.
-5*(a + 2)*(a + 3)
Let g = 47 + -32. Suppose -4*w - 26 = -3*h, w = 4*w + g. Factor h*v + 0*v**4 + v**3 - 2*v**4 - 2*v + 2*v**2 - v**5.
-v**2*(v - 1)*(v + 1)*(v + 2)
Suppose h - 5*w = 1, 4*w + 18 = 2*h + 2*w. Let a = -7 + h. Let a + t**2 + 18*t + 20*t - 34*t = 0. What is t?
-2
Let h(a) be the second derivative of -a**6/150 + a**5/100 + a**4/30 + 25*a - 1. Let h(w) = 0. Calculate w.
-1, 0, 2
Let p(j) be the first derivative of -j**3/2 + 7*j**2/4 + 3*j + 52. Factor p(y).
-(y - 3)*(3*y + 2)/2
Let w = 376 + -373. Let a(f) be the second derivative of -1/12*f**4 + 0*f**2 + 6*f + 0*f**w + 1/20*f**5 + 0. Factor a(c).
c**2*(c - 1)
Let g(t) be the third derivative of -t**5/110 - 7*t**4/22 - 49*t**3/11 - 6*t**2. Solve g(q) = 0 for q.
-7
Let d = -25 - -41. Find g such that -5*g**2 + 259 - 16*g - d*g**3 - 4*g**4 + 3*g**2 - 263 - 22*g**2 = 0.
-1
Let g(o) = -7*o - 88. Let x be g(-13). Let j(l) be the first derivative of 7 - 2/9*l**x + 4/3*l**2 - 2*l. Factor j(f).
-2*(f - 3)*(f - 1)/3
Let q(y) be the third derivative of 0*y**4 + 0*y**3 - 1/960*y**6 - 1/480*y**5 + 0*y + 0 - 10*y**2. Factor q(o).
-o**2*(o + 1)/8
Determine d, given that 64/7 - 2/7*d**2 - 4*d = 0.
-16, 2
Let f(q) be the third derivative of q**6/40 + q**5/20 - q**4/4 + 112*q**2. Let f(r) = 0. Calculate r.
-2, 0, 1
Let s(c) = 16*c**2 + 69*c + 341. Let v(h) = 7*h**2 + 34*h + 171. Let p(z) = 4*s(z) - 9*v(z). Factor p(q).
(q - 35)*(q + 5)
Let n(k) = k**2 - k + 1. Let a(q) = 10 + 12*q + 5*q + 0*q**2 - 27*q + 15*q**2. Let r(c) = -a(c) + 10*n(c). Factor r(z).
-5*z**2
Factor -1/4*q**2 + 3/2*q - 5/4.
-(q - 5)*(q - 1)/4
Let j(q) be the second derivative of q**4/12 + 5*q**3/2 - 27*q**2 - 289*q. Factor j(m).
(m - 3)*(m + 18)
Let z(g) = 19*g**2 + 76*g + 33. Let x(y) = -2*y**2 - y - 1. Let q(v) = 22*x(v) 