*u**3 = 0.
-1, -3/5, 0
Let f be 7/((-378)/12) - 3/(432/(-122)). Factor 1/8*x**2 + 3/4 + f*x.
(x + 2)*(x + 3)/8
Let y(i) = 42*i**2 + 69*i + 144. Let j(p) = -3*p**2 - 2*p. Let o(a) = 15*j(a) + y(a). Factor o(t).
-3*(t - 16)*(t + 3)
Let o(t) be the first derivative of t**6/15 + 28*t**5/25 + 9*t**4/2 + 104*t**3/15 + 4*t**2 - 95. Find l such that o(l) = 0.
-10, -2, -1, 0
Let z(v) be the first derivative of -v**6/48 + v**5/20 + 7*v**4/32 - v**3/3 - 3*v**2/4 - 81. Find r, given that z(r) = 0.
-2, -1, 0, 2, 3
Let q be ((-6)/12 - 1) + 15/2. Suppose 3*y + 4*r + 2 = 0, -q = -5*y - 3*r + r. Factor -1/2*p - 1/4*p**y - 1/4.
-(p + 1)**2/4
Let o(w) be the third derivative of -3*w**2 - 11/12*w**4 + 3/20*w**6 - 2/5*w**5 - 2/3*w**3 + 0 + 0*w. Let o(p) = 0. Calculate p.
-1/3, 2
Let u(s) = -7*s**3 + 6*s**2 + 13*s. Let b(f) be the second derivative of f**5/5 - f**4/4 - 7*f**3/6 + 2*f - 43. Let k(x) = -5*b(x) - 3*u(x). Factor k(d).
d*(d - 4)*(d + 1)
Suppose g + 6930 = -5*g + 6930. Find f such that -2*f**2 + g*f - 1/2*f**3 + 0 = 0.
-4, 0
Let c = 29 + -33. Let h be (c - -2)/(-1) - 0. Factor 4*y**3 - 4*y**4 - 9 - 6*y + 16*y**2 + 6*y**h - 11*y**2.
-(y + 1)**2*(2*y - 3)**2
Let h(f) be the second derivative of -f**7/210 + f**5/10 - f**4/3 + 2*f**3 - 17*f. Let g(t) be the second derivative of h(t). Find o such that g(o) = 0.
-2, 1
Let a(g) = -2*g**5 - g**4 + 2*g**3 - g**2 - g - 1. Let x(j) = 18*j**5 + 4*j**4 - 18*j**3 + 16*j**2 + 10*j + 10. Let r(z) = -10*a(z) - x(z). Factor r(y).
2*y**2*(y - 1)*(y + 1)*(y + 3)
Let t(l) = 7*l - 10 - l**2 - 13*l + 2*l. Let z(c) = 2*c + 1. Let r(x) = -t(x) - 5*z(x). Factor r(y).
(y - 5)*(y - 1)
Let d = 46 + -78. Let x be ((-9)/(-3))/((-12)/d). Determine c, given that -48*c**3 - 5*c**2 - 21*c + x - 70*c**4 + 67*c**2 + 69*c = 0.
-1, -2/5, -2/7, 1
Let k(z) = 2*z**3 - 3*z**3 - 5*z**2 + 2*z**2 + 11*z**4 + 20*z - 5*z**2. Let g(t) = 7*t**4 - t**3 - 5*t**2 + 13*t. Let q(h) = 8*g(h) - 5*k(h). Factor q(j).
j*(j - 2)**2*(j + 1)
Let b(z) be the third derivative of -1/16*z**3 - 1/210*z**7 + 1/168*z**8 - 29/320*z**6 + 11*z**2 - 89/480*z**5 + 0*z + 0 - 29/192*z**4. Let b(l) = 0. What is l?
-1, -1/4, 3
Let b be (-4)/10 - (4/(-60) - 20/36). Find y such that 0 - 10/9*y**2 - b*y**4 + 4/9*y + 8/9*y**3 = 0.
0, 1, 2
Let f(h) be the first derivative of h**6/6 + 11*h**5/15 - 61*h**4/12 + 61*h**3/9 - 7*h**2/3 - 107. Let f(r) = 0. Calculate r.
-7, 0, 1/3, 1, 2
Let i(j) = -14*j**2 - 32*j - 2. Let w(v) = -27*v**2 - 63*v - 3. Let c(r) = -5*i(r) + 2*w(r). Factor c(d).
2*(d + 2)*(8*d + 1)
Let v(r) be the second derivative of -r**6/2700 - r**5/225 + r**4/36 - r**3/3 - 5*r. Let s(a) be the second derivative of v(a). Determine z so that s(z) = 0.
-5, 1
Let w(s) be the first derivative of -1/4*s**3 - 147/4*s - 21/4*s**2 + 11. Factor w(i).
-3*(i + 7)**2/4
Let n = 7101 - 3728024/525. Let m(y) be the third derivative of 1/150*y**6 + 0 - 4*y**2 + 0*y**4 + 0*y**3 + 1/150*y**5 + 0*y + n*y**7. Solve m(a) = 0.
-1, 0
Factor 1/5*b**2 + 0 + 0*b + 0*b**3 - 1/5*b**4.
-b**2*(b - 1)*(b + 1)/5
Suppose 0 = -253*f + 263*f - 40. Let o(x) be the first derivative of 1 - x**2 + 0*x + 1/2*x**f + 1/3*x**3 - 1/5*x**5. Find n, given that o(n) = 0.
-1, 0, 1, 2
Let r be 58/30 - (-158)/395 - 1. Find i, given that -25/3*i**2 - r + 20/3*i = 0.
2/5
Let b = 35 + -33. Find m, given that 32 - 16*m**b - 12*m - 4*m**3 - 32 = 0.
-3, -1, 0
Let p(y) = -17*y**2 - 32*y - 44. Let v(l) = 48*l**2 + 94*l + 132. Let g(q) = -17*p(q) - 6*v(q). Factor g(z).
(z - 22)*(z + 2)
Suppose 2 + 215*l**2 - 429*l**2 + 212*l**2 = 0. Calculate l.
-1, 1
Let s(w) be the second derivative of -w**8/1344 + 5*w**7/504 - 7*w**6/144 + w**5/8 + w**4/6 + 17*w. Let r(j) be the third derivative of s(j). Factor r(v).
-5*(v - 3)*(v - 1)**2
Let a = -17839/15 + 3569/3. Factor 2*i - 8/5 - a*i**2.
-2*(i - 4)*(i - 1)/5
Let a be (((-100)/35)/(-5))/((-81)/(-63)). Let n(y) be the first derivative of 1/18*y**4 - 1/3*y**2 + 0*y**3 + 5 + a*y. Factor n(o).
2*(o - 1)**2*(o + 2)/9
Let -9 - 24*h - 21 - 5*h**2 - 54*h + 53*h = 0. Calculate h.
-3, -2
Factor -13*m**3 + 13*m**3 - 2*m - 4*m**3 + 6*m**2.
-2*m*(m - 1)*(2*m - 1)
Let r(b) be the first derivative of 4*b**3/3 + 80*b**2 - 336*b + 172. Solve r(z) = 0 for z.
-42, 2
Let m(k) = 53*k - 424. Let b be m(8). Factor 1/2*t**5 + 0*t**2 + 0*t + 1/2*t**3 + b - t**4.
t**3*(t - 1)**2/2
Let n be (-2)/3*(27/(-6))/(-9). Let t = 7/6 + n. Find w such that t*w + 1/3*w**4 + 3/2*w**2 + 1/6 + 7/6*w**3 = 0.
-1, -1/2
What is z in 282*z**2 - 26*z + 69 - 62*z - 61 - 486*z**4 - 108*z**3 = 0?
-1, 2/9, 1/3
Let f(j) = -j + 6. Let r be f(12). Let h be 9/r*12/(-9). Factor 4*i**2 + h*i**2 - 3*i**2 + 3*i.
3*i*(i + 1)
Let i(y) be the second derivative of y**5/110 + 7*y**4/66 + 14*y**3/33 + 8*y**2/11 + 141*y - 2. Determine m, given that i(m) = 0.
-4, -2, -1
Suppose 285*x - 852 + 121 = 124. Suppose z = -2*z + 6. Factor 1/4*j**x - j**z - 1/2 + 5/4*j.
(j - 2)*(j - 1)**2/4
Let g(n) be the third derivative of -n**6/480 + 17*n**3/6 - 9*n**2. Let s(y) be the first derivative of g(y). Find h such that s(h) = 0.
0
Let x(v) be the third derivative of v**9/30240 - v**7/4200 + v**5/1200 + 7*v**3/6 + 31*v**2. Let i(b) be the first derivative of x(b). Factor i(o).
o*(o - 1)**2*(o + 1)**2/10
Let f = 314 + -310. Let o(q) be the third derivative of -1/36*q**4 - f*q**2 + 0 + 1/90*q**5 + 0*q**3 + 0*q. Factor o(g).
2*g*(g - 1)/3
Let k(q) be the third derivative of -2*q**7/105 + q**6/15 + 7*q**5/15 - 4*q**4/3 - 8*q**3 + 24*q**2. Let k(j) = 0. What is j?
-2, -1, 2, 3
Let l be (-5)/50 - 153/(-30). Let n(w) be the first derivative of -1/15*w**l + 2/9*w**3 + 1/12*w**4 + 0*w**2 + 7 + 0*w. Let n(f) = 0. What is f?
-1, 0, 2
Let d(k) be the third derivative of 0*k + 0 + 7/54*k**4 - 49/27*k**3 - 11*k**2 - 1/270*k**5. Suppose d(h) = 0. Calculate h.
7
Let k be ((750/(-51))/(-1))/((-44)/(-352)). Suppose 600/17*t - 60/17*t**2 + 2/17*t**3 - k = 0. Calculate t.
10
Suppose 0 = -v + 27 - 25. Let k = 273 - 269. Factor 0*x**v + 1/2*x**k + 1/2*x**3 + 0*x + 0.
x**3*(x + 1)/2
Determine d so that -7*d**3 - d**3 + 2*d**5 - 12*d**2 - 12*d + 4 + 18*d + 8*d**2 = 0.
-1, 1, 2
Let l(i) = 3*i**3 - 14*i**2 + 10*i - 5. Let b be l(4). Let n(v) be the first derivative of -1/15*v**b + 0*v**2 + 0*v - 1. Factor n(t).
-t**2/5
Let c(g) be the second derivative of g**4/4 + 8*g**3 + 96*g**2 + 40*g + 2. Let c(p) = 0. What is p?
-8
Let u be (24/9)/(128/48). Let k(q) be the first derivative of 0*q**2 + u - 2/9*q + 2/27*q**3. Factor k(v).
2*(v - 1)*(v + 1)/9
Let b(s) be the second derivative of -s**4/102 - 116*s**3/51 - 3364*s**2/17 - 44*s + 1. Factor b(x).
-2*(x + 58)**2/17
Let f = -417 - -2934/7. Suppose 56 = 94*d - 226. Determine u, given that f*u - 6/7*u**2 + 6/7 - 15/7*u**d = 0.
-1, -2/5, 1
Let t = 0 + 7. Let p(n) = -3*n**3 - t*n - 6 + 0*n + 9*n**2 + n. Let w(a) = -2*a**3 + 9*a**2 - 5*a - 5. Let q(y) = -5*p(y) + 6*w(y). Factor q(k).
3*k**2*(k + 3)
Let l(q) be the first derivative of 0*q + q**2 + 8 - 2/3*q**3. Factor l(z).
-2*z*(z - 1)
Let k(m) be the third derivative of -m**8/1848 - m**7/1155 + m**6/660 + m**5/330 + 219*m**2. Determine d so that k(d) = 0.
-1, 0, 1
Let k(v) be the second derivative of -1/3*v**3 + 0 + 0*v**2 + 1/6*v**4 - v. Determine u, given that k(u) = 0.
0, 1
Let l = -28299/4 - -7075. Factor -1 - l*j**4 + 3/4*j**2 - j + 1/2*j**3.
-(j - 2)**2*(j + 1)**2/4
Factor -46*b + 67*b + 30*b**2 + 74*b + 40.
5*(2*b + 1)*(3*b + 8)
Let o(s) be the first derivative of 16*s**6/15 - 16*s**5/15 - 39*s**4/10 - 2*s**3/45 + 8*s**2/5 - 8*s/15 - 220. What is c in o(c) = 0?
-1, -2/3, 1/4, 2
Let m(t) = -3*t**2 - 12*t - 26. Let a(y) = -16*y**2 - 61*y - 131. Let x(p) = 6*a(p) - 33*m(p). Factor x(r).
3*(r + 4)*(r + 6)
Let x(r) be the second derivative of r**6/105 + 81*r**5/70 + 40*r**4 + 1600*r**3/21 - 182*r - 2. Determine q so that x(q) = 0.
-40, -1, 0
Let j(a) be the second derivative of -a**7/105 + 7*a**6/75 + 17*a**5/50 - 33*a**4/10 - 72*a**3/5 - 108*a**2/5 - 211*a. Let j(m) = 0. What is m?
-3, -1, 6
Let b be 6*(-9)/72 + 53/60. Let f(u) be the third derivative of 0 + 1/50*u**5 + 0*u + 12*u**2 - 1/150*u**6 + 1/20*u**4 - b*u**3. Factor f(n).
-2*(n - 2)*(n + 1)*(2*n - 1)/5
Suppose 0 = 52*l - 6*l. Let v(a) be the third derivative of 2*a**2 + 3/8*a**4 + l + 0*a + 7/60*a**5 + 1/3*a**3. Factor v(w).
(w + 1)*(7*w + 2)
