3 - 1728*i**2 + 9216*i + 5734. Determine m, given that f(m) = 0.
-12, 2, 8
What is i in 70/11*i + 58/11*i**2 + 2/11*i**4 - 300/11 - 2*i**3 = 0?
-2, 3, 5
Factor 2*l**2 + 2198*l + 11032959 - 12706*l + 2769299.
2*(l - 2627)**2
Let p(t) be the first derivative of -1/10*t**5 + 2*t + 1/6*t**3 + 2*t**2 - 5/8*t**4 - 56 + 1/12*t**6. Solve p(d) = 0 for d.
-1, 2
Let h(z) be the second derivative of -z**6/165 - 2*z**5/55 + 67*z**4/66 + 70*z**3/33 + 2550*z. Let h(q) = 0. What is q?
-10, -1, 0, 7
Let w(p) be the third derivative of p**5/90 - 11*p**4/6 + 65*p**3/9 - 455*p**2 + 4. Factor w(h).
2*(h - 65)*(h - 1)/3
Let q be (20 + 21681/(-1080))/(45/(-80)). Factor 0 - 2/5*c**2 + 4/15*c + 0*c**3 + q*c**4.
2*c*(c - 1)**2*(c + 2)/15
Let t be (-2)/1 - 5244/(-2185). Factor 0 + t*z**3 + 4/5*z - 6/5*z**2.
2*z*(z - 2)*(z - 1)/5
Find x, given that -25582/5*x**2 + 1/5*x**5 + 410*x**3 - 4235 + 101/5*x**4 + 8921*x = 0.
-55, 1, 7
Let y(k) be the second derivative of -3 - 11/21*k**3 - 1/70*k**5 - 6/7*k**2 - 70*k - 1/7*k**4. Determine w, given that y(w) = 0.
-3, -2, -1
Let p(j) be the second derivative of 0*j**2 + 0*j**3 + 1/22*j**4 + 1/165*j**6 + 1/231*j**7 + 0 + 173*j - 1/22*j**5. Factor p(v).
2*v**2*(v - 1)**2*(v + 3)/11
Let s = 84738 + -84734. Determine k so that -2/3*k + 2/3*k**2 - s = 0.
-2, 3
Let t(x) = 21*x**4 + 18*x**3 - 6*x**2 - 6*x. Let s(m) = -43*m**4 - 35*m**3 + 10*m**2 + 10*m. Let z(g) = 3*s(g) + 5*t(g). Factor z(y).
-3*y**3*(8*y + 5)
Let l(a) be the first derivative of a**6/240 - a**5/16 - a**3 - 28*a - 23. Let m(p) be the third derivative of l(p). Solve m(r) = 0 for r.
0, 5
Suppose d = m - 2, 0 = 2*d + 9*m - 20*m + 40. Suppose 17/2 - 8*z - 1/2*z**d = 0. Calculate z.
-17, 1
Let c(q) = -5*q**2 + 41*q - 22. Let s(z) = -2*z. Let g(u) = -c(u) - 5*s(u). Let k(a) = 14*a**2 - 91*a + 66. Let w(d) = -11*g(d) + 4*k(d). Factor w(o).
(o - 22)*(o - 1)
Factor 639 - 3722 - 5313*v - 6894*v**3 + 6867*v**3 - 2944 - 317*v**2 - 916*v**2.
-3*(v + 41)*(3*v + 7)**2
Let f = -101613 + 740745. Factor -368160*r**2 + 28880*r**3 + 2*r**5 - 90148*r**2 - f*r**2 - 158470336 - 380*r**4 + 4653652*r + 16197708*r.
2*(r - 38)**5
Let -323*u**2 + 20*u**3 - 4*u**4 + 40 + 9*u**4 - 324*u**2 - 50*u + 632*u**2 = 0. Calculate u.
-4, -2, 1
Let a(p) be the second derivative of p**7/2100 - p**3/3 + 5*p**2/2 + 141*p. Let j(i) be the second derivative of a(i). Factor j(v).
2*v**3/5
Let m be 84/(-54)*(-132)/14. Suppose 2743 - 637 = 163*l + 188*l. Let 29*u - 61/3*u**3 - l - 4*u**4 - m*u**2 = 0. What is u?
-3, 1/4, 2/3
Let w = 5648/9 - 28222/45. Let n(d) be the first derivative of 0*d - 16/15*d**3 + w*d**6 + 6/5*d**2 - 29 - 14/5*d**4 - 16/25*d**5. Find j such that n(j) = 0.
-1, 0, 1/3, 3
Suppose 5*b = g + 18, 4*g = 4*b + 5*g - 9. Determine s so that -8*s**2 + 12*s**4 + 12*s + 26 - 30 - 1504*s**3 + 1496*s**b - 4*s**5 = 0.
-1, 1
Let l(c) be the second derivative of 119*c**4/12 - 39*c**3/2 - c**2 + 4*c - 31. Factor l(b).
(b - 1)*(119*b + 2)
Let t(x) = -x**5 + 9*x**4 - 16*x**3 + 4*x**2 + 4*x + 8. Let d(a) = 2*a**5 - 9*a**4 + 17*a**3 - 5*a**2 - 5*a - 10. Let u(g) = -4*d(g) - 5*t(g). Factor u(b).
-3*b**3*(b - 1)*(b + 4)
Let w(i) be the first derivative of 22/15*i**5 - 7/2*i**2 + 25/6*i**4 - 71 + 1/6*i**6 - 6*i + 28/9*i**3. Solve w(m) = 0 for m.
-3, -1, 2/3
Let f = 786458/3 - 262142. Determine v, given that -128/3 + 8/3*v**2 - 2/3*v**3 + f*v = 0.
-4, 4
Let l(i) be the second derivative of -1/15*i**6 - 1/5*i**5 - 5/18*i**4 + 2*i - 1/6*i**3 - 16 + 0*i**2 - 1/126*i**7. Factor l(d).
-d*(d + 1)**3*(d + 3)/3
Suppose -2*i = -3*d - 40, 5*i = 3*d - 4*d + 134. Suppose 9*x = 14*x - 30. Factor -i*o**2 + 5*o**2 + 11*o**2 + 15*o**2 - 13*o - x.
(o - 3)*(5*o + 2)
Find u, given that 0 + 99/2*u**3 + 33/2*u**4 + 3/2*u**5 + 21*u + 111/2*u**2 = 0.
-7, -2, -1, 0
Let s(o) be the second derivative of -o**5/10 - 335*o**4/3 - 9*o + 753. Factor s(h).
-2*h**2*(h + 670)
Let v(i) be the second derivative of i**4/6 + 5038*i**3/3 + 6345361*i**2 - 7093*i + 1. Factor v(t).
2*(t + 2519)**2
Let a = -106 - -121. Suppose 10*o = a*o. Suppose 2/3*t + 1/3*t**2 + o - t**3 - 1/3*t**4 + 1/3*t**5 = 0. What is t?
-1, 0, 1, 2
Let i(v) be the second derivative of -v**5/100 - 61*v**4/60 + 131*v**3/10 - 603*v**2/10 - 4*v + 2. Factor i(q).
-(q - 3)**2*(q + 67)/5
Let y(s) be the second derivative of -31*s + 5/2*s**4 - 294*s**2 + 3/20*s**5 - 2 - 7/2*s**3. Find w such that y(w) = 0.
-7, 4
Let x(q) = -q**3 - 69*q**2 - 197*q + 69. Let m be x(-66). Let r = 8534/451 + -418/41. Factor -24/11*g**2 - r*g - 2/11*g**m - 128/11.
-2*(g + 4)**3/11
Let i(j) be the third derivative of j**6/840 - 39*j**5/140 + 16*j**4 + 22528*j**3/21 + 2*j**2 + 35*j + 4. Find q, given that i(q) = 0.
-11, 64
Let l = -3433 - -3437. Let n(q) be the third derivative of 0*q**5 - 3*q**2 + 1/840*q**7 - 1/24*q**l + 0 + 0*q + 0*q**3 + 1/160*q**6. Find i such that n(i) = 0.
-2, 0, 1
Determine q, given that -1247/3*q - 1/3*q**3 - 79/3*q**2 + 12943/3 = 0.
-43, 7
Let f be (58/6)/(4/24). Let o = -56 + f. Suppose -15*d**3 + 10*d + d**2 + 4*d**2 - o*d**2 + 2*d**2 = 0. What is d?
-2/3, 0, 1
Let j = 1177/43848 + -5/232. Let x(q) be the second derivative of 0 - 1/54*q**4 + 1/135*q**6 - 1/90*q**5 + j*q**7 + 18*q + 0*q**2 + 0*q**3. Factor x(r).
2*r**2*(r - 1)*(r + 1)**2/9
Let b be (18/60)/(28/8*(-3)/(-14)). Let -b*z + z**2 + 1/5*z**4 - 4/5*z**3 + 0 = 0. Calculate z.
0, 1, 2
Let v = 280757/7 + -40107. Factor 4/7*o + 0 + 0*o**2 + 0*o**4 - v*o**3 + 4/7*o**5.
4*o*(o - 1)**2*(o + 1)**2/7
Let h(l) be the second derivative of l**5/150 - l**4/6 - 10*l**2 - 25*l - 2. Let z(r) be the first derivative of h(r). Factor z(o).
2*o*(o - 10)/5
Suppose 1378151 + 21*m**4 + 0*m**3 + 20*m**3 - 3*m**4 - 2*m**5 - 1378151 = 0. Calculate m.
-1, 0, 10
Let q be (-140)/(-45) + (-15)/135. Let -2/3*i**q + 0 - 4*i**2 - 16/3*i = 0. What is i?
-4, -2, 0
Let s be (23/((-621)/(-72)))/(8 + 72/18). What is p in 8/9*p + 0 + s*p**2 = 0?
-4, 0
Find a such that -14/5 - 33/5*a**2 - 1/5*a**4 + 11/5*a**3 + 37/5*a = 0.
1, 2, 7
Let f(b) = -b**3 - 3*b + 6. Let m be f(0). Let x be (-4)/m - 28/(-6). What is i in 8 - 4*i**3 - 16*i + 1/2*i**x + 12*i**2 = 0?
2
Let l(u) = -u - 9. Let b be l(-16). Suppose -11*f = -b*f - 16. Factor 4*g - 2*g**4 + 0*g**f + 6*g**3 + 10*g**2 + 189*g**5 - 191*g**5.
-2*g*(g - 2)*(g + 1)**3
Let h = -356/113 + 7148/1695. Factor -8/15*n + 4/5*n**2 - h + 2/15*n**4 + 2/3*n**3.
2*(n - 1)*(n + 2)**3/15
Let v(x) be the second derivative of x**7/84 - 23*x**6/60 + 17*x**5/5 - 10*x**4 - x - 2796. Factor v(r).
r**2*(r - 15)*(r - 4)**2/2
Suppose 4*s + 10449 = 10457. Let f(v) be the first derivative of s + 48/5*v + 12/5*v**2 + 1/5*v**3. Factor f(k).
3*(k + 4)**2/5
Let u(h) be the second derivative of h**6/45 + 2*h**5/15 - 3*h**4/2 - 18*h**3 - 72*h**2 - 4*h - 41. Determine y, given that u(y) = 0.
-4, -3, 6
Let w(q) be the first derivative of -2*q**6/3 - 88*q**5/5 - 153*q**4 - 1088*q**3/3 + 896*q**2 + 1900. Determine g so that w(g) = 0.
-8, -7, 0, 1
Find m such that 3*m**2 + 5636*m - 66 - 2*m**2 + 2*m**2 - 5609*m = 0.
-11, 2
Let g be (-1*4 + (-60)/(-6))*583/5247. Factor -g*i**2 - 28/3*i + 0.
-2*i*(i + 14)/3
Let l(m) = m**2 + 1. Let s(f) = f**3 + 17*f**2 - 29*f - 31. Let y(k) = -6*l(k) + s(k). Let n be y(-13). Solve 1/2*g - 1/4*g**n + 0 = 0.
0, 2
Let b be ((-53872)/819)/148 + 777/(-216)*-2. Let 11/4*t**3 - 11/4*t + 1/4*t**4 - 7 + b*t**2 = 0. Calculate t.
-7, -4, -1, 1
Let r(k) be the second derivative of -k**8/420 + 2*k**7/105 + k**6/18 + 26*k**3/3 - 2*k - 11. Let v(b) be the second derivative of r(b). Factor v(q).
-4*q**2*(q - 5)*(q + 1)
Let i(p) = -41*p - 1676. Let o be i(-41). Let s(k) be the first derivative of -3/5*k**o - 3/2*k**2 + 19 + 0*k - 9/4*k**4 - 3*k**3. Determine f so that s(f) = 0.
-1, 0
Let g(c) be the second derivative of -c**5/190 - 97*c**4/114 - 376*c**3/57 - 372*c**2/19 + 3746*c. Let g(p) = 0. Calculate p.
-93, -2
Let c = 7201 + -10601. Let p be 6/16 - 2805/c. Factor -3/5*a**3 + 0 + p*a - 3/5*a**2.
-3*a*(a - 1)*(a + 2)/5
Suppose 13*t - 90 = 15*t - 4*i, 3*i - 200 = 4*t. Let h(y) = y**2 + 44*y - 474. Let o be h(t). Factor 3/2*f - 5/4*f**2 + 2 - 3/4*f**o.
-(f + 1)*(f + 2)*(3*f - 4)/4
Let h(g) = 5*g**2 - 275*g + 280. Let d(u) = 8*u + 1. Let p(c) = -20*d(c) - h(c). Factor p(n).
-5*(n - 20)*(n - 3)
Let o(d) be the second derivative of -d**5/30 + 53