143 - 141. Let -6*f**2 + 0*f**2 + 7*f**n - 1 = 0. What is f?
-1, 1
Let a be 299/(-138)*(-72)/104. Suppose -3/4*y**2 + 6 + a*y = 0. Calculate y.
-2, 4
Let f = 7/107 - -307/214. Find n such that f - 2*n + 1/2*n**2 = 0.
1, 3
Let n(j) be the third derivative of -j**2 + 1/900*j**6 + 1/45*j**3 + 0*j + 1/60*j**4 + 1/150*j**5 + 0. Factor n(z).
2*(z + 1)**3/15
Let l(w) be the second derivative of w**7/28 + 11*w**6/10 + 1443*w**5/160 - 65*w**4/32 - 341*w**3/16 + 363*w**2/16 + 48*w. Determine s, given that l(s) = 0.
-11, -1, 1/2
Determine d, given that -2*d - 156/7 + 2/7*d**2 = 0.
-6, 13
Let m(j) = j - 20. Let i be m(22). Let x be ((-6)/i - 54/(-15))*5. Suppose 0 - 6/7*h**2 + 3/7*h + 6/7*h**4 - 3/7*h**5 + 0*h**x = 0. What is h?
-1, 0, 1
Let j = 56 + -59. Let s be j + (-3)/(-1) + 3. Factor -p - 3/2*p**2 + 5/2*p**s + 0.
p*(p - 1)*(5*p + 2)/2
Suppose 4*b = 2*l - 0*b, 0 = 3*b. Let p = -55/2 + 28. Let -1/2*o**3 + l + 0*o - p*o**2 = 0. Calculate o.
-1, 0
Let q(r) = r**2 - 16. Let x be q(5). Let t be 5/1 - 12/54*x. Factor -16/3*k**t + 0*k**2 + 4/3 + 4*k.
-4*(k - 1)*(2*k + 1)**2/3
Suppose 4*f + 0 = 8. Determine u so that -4 + 3*u**2 - 81*u + 4*u**f + 89*u - 5*u**3 = 0.
-1, 2/5, 2
Let t(a) be the first derivative of a**6/360 + a**5/120 - a**4/12 + 4*a**3 + 12. Let y(l) be the third derivative of t(l). Let y(q) = 0. What is q?
-2, 1
Let m(t) = 2*t**3 + 27*t**2 + 26*t + 13. Let u(c) be the second derivative of -c**5/20 - c**3/6 + c**2/2 - 8*c. Let w(l) = m(l) - 4*u(l). Factor w(g).
3*(g + 1)*(g + 3)*(2*g + 1)
Let n = 497 - 492. Factor -1/4*p**n + 0*p + 0 - 1/4*p**4 + 1/4*p**3 + 1/4*p**2.
-p**2*(p - 1)*(p + 1)**2/4
Let c(y) be the second derivative of -1/105*y**7 + 0*y**3 - 1/75*y**5 + 0 + 1/45*y**6 + 0*y**4 + 0*y**2 - 11*y. Solve c(v) = 0.
0, 2/3, 1
Let u(s) = s + 2. Let d be u(-12). Let i = d - -14. Factor -2 + 3*g**4 - g + 8*g**3 + 3*g**2 - 7*g**3 - 4*g**i + 0*g.
-(g - 2)*(g - 1)*(g + 1)**2
Let j(b) = 8*b**2 + 3*b - 2. Let v(k) = 9*k**2 + 4*k - 3. Let i(d) = -6*j(d) + 5*v(d). Let y(l) = -7*l**2 + 3*l - 6. Let q(u) = -5*i(u) + 2*y(u). Factor q(g).
(g - 3)*(g - 1)
Let l(r) = -r**3 + 1. Let z = 10 - 5. Let o(i) = -22*i + 27*i**2 - 14 + 23 - 19*i**3 - 11*i**2 + 16*i**2. Let x(p) = z*l(p) - o(p). Factor x(k).
2*(k - 1)**2*(7*k - 2)
Let h(m) = -30*m**2 + 395*m + 95. Let t(u) = 16*u**2 - 197*u - 48. Let w(q) = -2*h(q) - 5*t(q). Factor w(k).
-5*(k - 10)*(4*k + 1)
Let x be (-14)/(-4) - (-2)/4. Suppose 61*y = 16*y + 405. Factor -y*v**3 + 6*v**4 - 11*v**4 + 16*v + 2*v**4 - x*v.
-3*v*(v - 1)*(v + 2)**2
Let k be ((-14)/4 + 2)/((-945)/1260). Find w, given that 8/13*w**k + 0 - 12/13*w**3 - 2/13*w**5 - 2/13*w + 8/13*w**4 = 0.
0, 1
Factor -514 + 165 - 4*i**2 - 96*i - 83.
-4*(i + 6)*(i + 18)
Suppose -33 = 4*y + 39. Let n = 21 + y. Find h, given that 16/7 - 2/7*h**n + 12/7*h**2 - 24/7*h = 0.
2
Let z be (2 + 22/4)*-2. Let h(c) = 4*c**4 + 2*c**3 - 6*c**2 + 3*c + 3. Let l(i) = -i**4 + i**2 - i - 1. Let g(f) = z*l(f) - 5*h(f). Factor g(r).
-5*r**2*(r - 1)*(r + 3)
Let j be (3/3)/(108/(-183)). Let x = 5/9 - j. Find g, given that -3/2*g**2 - 3/4*g**5 - 3/4 - 3/2*g**3 + 9/4*g**4 + x*g = 0.
-1, 1
Factor -6/7*z**3 + 6/7*z + 0 - 3/7*z**2 + 3/7*z**4.
3*z*(z - 2)*(z - 1)*(z + 1)/7
Suppose 5*b - 5 - 14 = -q, 0 = -4*b - 2*q + 14. Let n be (-21)/14 - (-22)/b. Let 10/3*r**3 - 2/3 - 2/3*r + 4/3*r**n + 2*r**2 = 0. What is r?
-1, 1/2
Let h(m) be the first derivative of -m**4/12 + m**3/9 + 4*m**2/3 - 4*m + 9. Factor h(d).
-(d - 2)**2*(d + 3)/3
Let u be 1/2*(-76)/(-399)*14. Factor 2/3*s - u + 2/3*s**2.
2*(s - 1)*(s + 2)/3
Factor -15*w + 2*w**2 - 6*w + 31*w + 32 - 7*w - 19*w.
2*(w - 4)**2
Let o(x) be the third derivative of -x**9/10584 + x**8/5880 - 14*x**3/3 - 11*x**2. Let b(l) be the first derivative of o(l). Find i such that b(i) = 0.
0, 1
Let l(f) = -f**5 + 10*f**4 - 8*f**3 - 10*f**2 + 4*f. Let u(o) = -o**5 + o**4 - o**3 - o**2 + o. Let d(k) = -l(k) + 5*u(k). Suppose d(y) = 0. What is y?
-1, -1/4, 0, 1
Let h(x) be the second derivative of 0 + 13*x + 13/24*x**3 - 3/4*x**2 - 1/80*x**5 + 1/120*x**6 - 7/48*x**4. Factor h(w).
(w - 2)*(w - 1)**2*(w + 3)/4
Let t(r) = 3*r**2 - 3*r + 4. Let c(z) = z**2 - 6*z + 8. Let g(a) = 2*a**2 - 5*a + 7. Let k(o) = 2*c(o) - 3*g(o). Let i(l) = -4*k(l) - 6*t(l). Factor i(d).
-2*(d - 2)*(d - 1)
Find x, given that 0 + 10/3*x**3 - 4*x**2 + 2/3*x**4 + 0*x = 0.
-6, 0, 1
Suppose 0 = -3*c + 23 - 26. Let w be c/((-25)/(-10))*10/(-24). Find f, given that w + 1/6*f**2 - 1/3*f = 0.
1
Let w = -22 - -20. Let x(f) = 2*f**4 - 4*f**3 + 4*f**2 + 2. Let k(u) = u**3 - u**2 + u + 1. Let v(t) = w*x(t) + 4*k(t). Suppose v(p) = 0. What is p?
0, 1
Let w be 4508/644 + (9/12)/((-10)/88). Factor -w*f**2 - 6/5*f - 4/5.
-2*(f + 1)*(f + 2)/5
Let y(c) be the first derivative of 22*c**2 + 43 + 16*c - 46/3*c**3 - 7/2*c**4. Solve y(k) = 0.
-4, -2/7, 1
Let j(o) be the first derivative of 294*o**5/25 - 133*o**4/5 - 304*o**3/5 - 198*o**2/5 - 54*o/5 + 249. Suppose j(r) = 0. What is r?
-3/7, -1/3, 3
Let r(i) = -13*i**2 + 9*i + 41*i**3 + 14*i**2 + 23*i**2. Let x(l) = 21*l**3 + 12*l**2 + 5*l. Let p(o) = 3*r(o) - 5*x(o). Suppose p(s) = 0. What is s?
-1/3, 0
Let a(q) be the third derivative of -11*q**5/30 + 7*q**4/2 + 8*q**3/3 - 51*q**2. Factor a(f).
-2*(f - 4)*(11*f + 2)
Let j = 150 + -190. Let k be 2 - 4/j*4. Factor -4*z + 4/5*z**3 - 4/5*z**4 + 8/5 + k*z**2.
-4*(z - 1)**3*(z + 2)/5
Let k(a) be the first derivative of -2*a**6/9 - 41*a**5/15 - 55*a**4/6 - 25*a**3/9 - 194. Solve k(q) = 0 for q.
-5, -1/4, 0
Let y = -148 + 152. Let s(k) be the third derivative of 1/150*k**5 - y*k**2 - 1/60*k**4 + 0*k**3 + 0*k + 0. Let s(c) = 0. What is c?
0, 1
Suppose 0 = g + 3 - 7. Let w = 13 + -9. Determine n, given that 4*n**w + 2*n**4 + 3*n**5 - 9*n**g = 0.
0, 1
Let v = 12999/4 - 3249. Factor v*u**2 + 15/4 - 9/2*u.
3*(u - 5)*(u - 1)/4
Let i(r) = 2*r**3 + r**2 - 1. Let d(s) = s**3 - 1. Let q(v) = 4*d(v) - 4*i(v). Determine a so that q(a) = 0.
-1, 0
Let r(o) = -45*o**4 - 1103*o**3 - 631*o**2 + 432*o. Let v(l) = 111*l**4 + 2757*l**3 + 1578*l**2 - 1080*l. Let m(q) = 12*r(q) + 5*v(q). Factor m(k).
3*k*(k + 1)*(k + 36)*(5*k - 2)
Let w(m) = -m**2 - 4*m + 5. Let b be w(-4). Suppose 7 = b*y - 8. Factor -v**2 + 2*v - y*v - 5*v + 3*v**2.
2*v*(v - 3)
Let k = 28 + -24. Factor 7*x**3 - k*x - 2*x**3 - x**3.
4*x*(x - 1)*(x + 1)
Let z be (-6)/(-27) - (-58)/(-18). Let p be z - -4 - (-9)/(-15). Determine j so that 0 - 2/5*j**3 + p*j**2 + 0*j = 0.
0, 1
Let k(w) be the first derivative of w**4/18 + 20*w**3/27 - 11*w**2/9 + 97. Factor k(l).
2*l*(l - 1)*(l + 11)/9
Suppose -2*p - 87 - 193 = 0. Let w = p - -144. Find b, given that -w*b**2 - 16/5 - 32/5*b - 4/5*b**3 = 0.
-2, -1
Let j be ((-72)/140)/(81/(-378)) - 24/(-15). Suppose 3/5*h**5 + 78/5*h**2 + 96/5 + 192/5*h - 12/5*h**j - 33/5*h**3 = 0. Calculate h.
-2, -1, 4
Let l(t) = 43*t**3 - 159*t**2 + 160*t - 2. Let g(m) = 131*m**3 - 478*m**2 + 480*m - 5. Let o(i) = -2*g(i) + 7*l(i). Find z, given that o(z) = 0.
1/39, 2
Let v(q) be the second derivative of -1/60*q**5 + 0*q**2 - 1/6*q**3 + 5/36*q**4 - 1/90*q**6 - 21*q + 0. Determine o, given that v(o) = 0.
-3, 0, 1
Let z(m) be the first derivative of -3*m**4/4 - 5*m**3 + 39*m**2/2 - 21*m + 83. Let z(i) = 0. Calculate i.
-7, 1
Suppose 0 = -5*v - 7*z + 3*z + 22, 0 = -v + 4*z - 10. Let c(f) be the first derivative of 0*f**v - f - 11 + 1/3*f**3. Factor c(q).
(q - 1)*(q + 1)
Let j(v) be the second derivative of -7*v - 3/5*v**5 + 0 + 2/15*v**6 + v**4 - 2/3*v**3 + 0*v**2. Factor j(i).
4*i*(i - 1)**3
Let r(s) = 17*s**2 - 42*s - 38. Let q(z) = 96*z**2 - 252*z - 229. Let b(j) = 6*q(j) - 34*r(j). Factor b(y).
-2*(y + 1)*(y + 41)
Let k(t) = t**3 - t**2 - 203*t + 2. Let a be k(0). Factor -18/11 - 14/11*x**a - 2/11*x**3 - 30/11*x.
-2*(x + 1)*(x + 3)**2/11
Let n be 1 + (83*(-52)/(-12))/(-1). Let f = n + 362. Factor 0*c - 14/3*c**4 + 0*c**2 + f*c**5 + 0 + 4/3*c**3.
2*c**3*(c - 1)*(5*c - 2)/3
Let k(d) be the third derivative of -d**5/480 - 5*d**4/192 + 7*d**3/24 - 47*d**2 + 2*d. Factor k(l).
-(l - 2)*(l + 7)/8
Let u = -47 - -65. Let -33*l + u + 11*l**3 - l**3 + 8*l**2 + 25*l**4 - l**5 - 27*l**4 = 0. What is l?
-3, 1, 2
Find f, given that -4/11 + 2/11*f - 2/11*f**3 + 4/11*f**2 = 0.
-1, 1, 2
Let y(t) be the second derivative of 3/25*t**5 - 3/25*t**6 + 23*t - 3/5*t**3 + 1/35