3 + 9*o**2 - 24*o + 21. Let d(t) = -3*j(t) - 4*w(t). Suppose d(k) = 0. What is k?
3
Let u be (-192)/(-9)*(-774)/(-344). Factor 48*f + 0 + 3/2*f**4 + 15*f**3 + u*f**2.
3*f*(f + 2)*(f + 4)**2/2
Let l(s) be the third derivative of 0*s + 1/30*s**5 + 0 + s**2 - 5/3*s**3 - 1/3*s**4. Factor l(b).
2*(b - 5)*(b + 1)
Factor -12/7*a**2 - 48/7*a + 0 + 6/7*a**3.
6*a*(a - 4)*(a + 2)/7
Let -5*u - 9/2*u**2 + 1/2*u**3 + 0 = 0. What is u?
-1, 0, 10
Let k = -23 - -40. Solve 5 - 17*b**3 + 15*b - 57*b**4 - 11 + k*b**2 + 10*b**2 - 16*b**3 - 18*b**5 = 0.
-2, -1, 1/3, 1/2
Let i(w) be the third derivative of 0 + 25/9*w**3 + 35/36*w**4 + 1/180*w**6 + 0*w - 4*w**2 + 11/90*w**5. Factor i(r).
2*(r + 1)*(r + 5)**2/3
Let k = -95 + 111. Suppose k = 5*s - 2*z, 0 - 22 = -3*s - 5*z. Determine a, given that -8/7*a**3 + 0 + 4/7*a**s + 4/7*a**2 + 0*a = 0.
0, 1
Let -1/6*q**3 + 0 + 13/6*q**2 - 2*q = 0. Calculate q.
0, 1, 12
Let h(a) be the second derivative of 0 - 1/18*a**4 + 1/3*a**2 - 8*a - 5/18*a**3 + 1/12*a**5. Factor h(s).
(s - 1)*(s + 1)*(5*s - 2)/3
Factor 16/3 + 2/3*m**2 - 6*m.
2*(m - 8)*(m - 1)/3
Let 14/9*t + 8/3 + 2/9*t**2 = 0. Calculate t.
-4, -3
Let w(r) = -4*r**2 + 488*r - 1056. Let b(d) = d**2 - 163*d + 352. Let m(t) = -16*b(t) - 5*w(t). Let m(q) = 0. What is q?
-44, 2
Suppose j = 3*j. Suppose -3*y = 5*t - 119, -5*t + j*y - 4*y + 122 = 0. Factor -6*i**4 - 4*i + t*i**4 + 4*i**5 + 24*i**3 + 16*i**2 + 8*i.
4*i*(i + 1)**4
Let m(s) be the third derivative of s**5/30 + 5*s**4/6 + 3*s**3 - 82*s**2. Suppose m(b) = 0. Calculate b.
-9, -1
Let l(d) = -d**3 + 7*d**2 + 125*d + 105. Let z(c) = 15*c**3 - 100*c**2 - 1750*c - 1470. Let m(f) = -55*l(f) - 4*z(f). Factor m(r).
-5*(r - 7)*(r + 1)*(r + 3)
Let z = 938 + -936. Let d(n) be the second derivative of 4/105*n**6 - n - 1/147*n**7 + 0*n**z + 0 - 1/21*n**3 - 3/35*n**5 + 2/21*n**4. Solve d(g) = 0 for g.
0, 1
Let c(o) be the second derivative of o**4/6 + 3*o**3 - 10*o**2 - 3*o - 6. What is u in c(u) = 0?
-10, 1
Let s(j) be the first derivative of j**6/540 - 2*j**5/45 + 4*j**4/9 + 3*j**3 + 11. Let i(q) be the third derivative of s(q). Factor i(u).
2*(u - 4)**2/3
Determine q so that 7/4*q - 1/2 + 5/4*q**3 - 9/4*q**2 - 1/4*q**4 = 0.
1, 2
Let d(g) = -2*g**3 + 7*g**2 + 2*g + 12. Let i be d(4). Determine r so that 66/5*r**2 - 6*r + 6/5*r**i + 0 - 42/5*r**3 = 0.
0, 1, 5
Let m be (42/20)/(((-924)/(-55))/14). Find y, given that 19/4*y**4 + m*y**5 + 0 + 15/4*y**3 + 1/4*y**2 - 1/2*y = 0.
-1, 0, 2/7
Let h(w) be the third derivative of -5/24*w**4 + 0*w + 1/24*w**6 + 1/4*w**5 + 0 + 24*w**2 - 5/2*w**3. Factor h(y).
5*(y - 1)*(y + 1)*(y + 3)
Let c = -90 - -216. Let b be (0 - -2)/(7/(c/12)). Let 0*y + 0 + 2/7*y**2 + 4/7*y**b + 2/7*y**4 = 0. Calculate y.
-1, 0
Let a(s) be the third derivative of -25/96*s**4 + 1/48*s**5 + 5/6*s**3 - 9*s**2 + 0*s + 0. Factor a(c).
5*(c - 4)*(c - 1)/4
Let x be (-291)/(-33) + 0 - 26/(-143). Let l(q) be the first derivative of -x + 0*q - 3/2*q**2 - q**3. Find n such that l(n) = 0.
-1, 0
What is z in 0*z - z**2 - 2*z**4 + 0 + 1/2*z**5 + 5/2*z**3 = 0?
0, 1, 2
Factor 8*a**2 + 29*a**3 + 30*a**3 + 30*a**3 - 87*a**3.
2*a**2*(a + 4)
Find c, given that -1/3*c**5 + 14/3*c - 1/3*c**2 + 8/3 - 13/3*c**3 - 7/3*c**4 = 0.
-4, -2, -1, 1
Let p be 3/(-7) - 34/(-14). Determine n so that -144*n**p - 64*n**3 + 5 - 66*n + 44*n - 86*n - 32 = 0.
-3/4
Let r(n) = -7*n**3 + 7*n**2 + 10*n + 5. Let s(f) = 8*f**3 - 8*f**2 - 12*f - 6. Let v(x) = 6*r(x) + 5*s(x). Factor v(c).
-2*c**2*(c - 1)
Let s = 518 + -518. Let m(g) be the third derivative of 1/36*g**4 + s + 0*g + 7*g**2 - 1/270*g**5 - 2/27*g**3. Solve m(y) = 0 for y.
1, 2
Let w(a) be the first derivative of -3*a**4 - 11*a**3/3 - a**2/2 + 3*a - 5. Let f(k) = -12*k**3 - 12*k**2 + 4. Let m(i) = 5*f(i) - 4*w(i). Factor m(u).
-4*(u + 1)**2*(3*u - 2)
Let z(i) be the third derivative of i**7/210 - 3*i**6/40 + 13*i**5/60 + 15*i**4/8 - 25*i**3/3 + 82*i**2. Suppose z(j) = 0. Calculate j.
-2, 1, 5
Find h such that -64 - 14 - 10 - 4*h**2 - 27*h + 2*h**2 - 21*h = 0.
-22, -2
Let a be 4/(-24)*-3*2. Let k be (-846)/(-270) - 1*a*3. Determine u so that k*u**5 - 4/3*u**3 - 8/3*u**2 - 8/15 - 2*u + 0*u**4 = 0.
-1, 4
Let s(m) be the first derivative of -m**4/6 - 32*m**3/45 + 7*m**2/5 - 201. Factor s(a).
-2*a*(a - 1)*(5*a + 21)/15
Let c(a) be the first derivative of -a**3 + 6*a + 1 - 3/2*a**2. Factor c(h).
-3*(h - 1)*(h + 2)
Let s be (-102)/187*((-1)/3 - 0). Factor -10/11*w - s*w**2 + 0.
-2*w*(w + 5)/11
Let t(a) be the third derivative of 5*a**8/1344 - a**7/84 - a**6/32 + a**5/12 + 5*a**4/24 - 3*a**2 - 7*a. Suppose t(m) = 0. Calculate m.
-1, 0, 2
Let q(o) be the first derivative of 9*o**5/5 + 15*o**4/2 + 9*o**3 + 3*o**2 - 84. Factor q(i).
3*i*(i + 1)*(i + 2)*(3*i + 1)
Suppose -4 = -24*b + 20. Factor 1/2*v**2 + b + 3/2*v.
(v + 1)*(v + 2)/2
Let a(q) = -q**3 - 18*q**2 + 92*q + 88. Let l be a(-22). Solve 0*r + l + 1/6*r**4 - 2/3*r**3 + 1/2*r**2 = 0.
0, 1, 3
Let v(u) = 5*u**4 - 50*u**3 + 40*u**2 + 90*u - 10. Let j(a) = -5*a**4 + 50*a**3 - 39*a**2 - 90*a + 8. Let p(d) = 5*j(d) + 4*v(d). Factor p(f).
-5*f*(f - 9)*(f - 2)*(f + 1)
What is f in -64/3*f**3 + 64/9*f**2 + 98/9*f**5 + 28/3*f**4 + 0*f + 0 = 0?
-2, 0, 4/7
Let n(q) be the third derivative of q**7/252 - q**6/144 - 5*q**5/72 - 5*q**4/48 + 75*q**2. Suppose n(r) = 0. Calculate r.
-1, 0, 3
Let t(u) be the second derivative of 5*u**4/12 + 55*u**3/6 + 45*u**2 + 831*u. Factor t(c).
5*(c + 2)*(c + 9)
Let g be (-3)/(2*(-3)/32). Suppose -10*r + 6*r = -g. Find l such that -3/5*l**2 + 7/5*l**3 - 7/5*l - 2/5 + l**r = 0.
-1, -2/5, 1
Let i(b) be the first derivative of b**5/5 + b**4/4 - 7*b**3/3 - 13*b**2/2 - 6*b + 335. Factor i(j).
(j - 3)*(j + 1)**2*(j + 2)
Suppose -11*q**4 + 24577*q**5 - q**4 - 24574*q**5 - 84*q**3 - 96*q**2 = 0. What is q?
-2, 0, 8
Suppose -14*t + 0 + 28 = 0. Solve 37*y**2 + 484 + 93*y**t - 572*y - 4*y**3 - 38*y**2 = 0.
1, 11
Let r(q) be the first derivative of -1/20*q**5 - 1/4*q + 0*q**2 + 1/6*q**3 + 0*q**4 - 9. Factor r(g).
-(g - 1)**2*(g + 1)**2/4
Let y(z) be the first derivative of -z**6/3 + 18*z**5/5 + 39*z**4 + 340*z**3/3 + 147*z**2 + 90*z - 913. Suppose y(n) = 0. Calculate n.
-3, -1, 15
Let k(o) = -2*o**2 + 47*o - 61. Let p be k(22). Suppose 54 - 44 = p*l. Factor -6/7*b**l + 0*b + 3/7 + 0*b**3 + 3/7*b**4.
3*(b - 1)**2*(b + 1)**2/7
Suppose 10 = 5*l - 0, 18 = 4*s + 3*l. Suppose 0 = s*h - 7*h + 12. Solve 5*m**3 - 7*m**h + 3 - 3 = 0 for m.
0
Let b = 50/7 + -79/14. Let j(r) be the first derivative of -1/4*r**3 - b*r + 9/8*r**2 + 2. Factor j(m).
-3*(m - 2)*(m - 1)/4
Let f be (48 - 39)*(1 - (-4)/(-6)). Let v(d) be the first derivative of 3 + 1/6*d**f + 0*d + 1/2*d**2. What is x in v(x) = 0?
-2, 0
Let l = 5424901/780 - 6955. Let v(t) be the third derivative of 0*t + 6*t**2 + l*t**6 + 0 - 1/39*t**3 - 1/156*t**4 + 1/390*t**5. Factor v(u).
2*(u - 1)*(u + 1)**2/13
Let i(k) be the second derivative of -k**4/3 - 104*k**3 - 12168*k**2 + 257*k. What is b in i(b) = 0?
-78
Let p(f) be the first derivative of 6*f**5/35 + f**4/7 - 2*f**3/21 + 322. Factor p(a).
2*a**2*(a + 1)*(3*a - 1)/7
Let h(p) be the second derivative of -30*p + 0*p**2 + 0*p**3 + 1/24*p**6 + 5/48*p**4 + 0 - 1/8*p**5. Find k, given that h(k) = 0.
0, 1
Factor -55*j**3 + 27*j**3 + 81*j**2 + 26*j**3 + 9*j**2.
-2*j**2*(j - 45)
Let c = 73 - 131. Let s = -55 - c. Suppose -2/5*o - o**s + 7/5*o**2 + 0 = 0. Calculate o.
0, 2/5, 1
Determine y, given that 4*y**4 + 68/3*y**3 + 2/9*y**5 + 166/3*y + 20 + 488/9*y**2 = 0.
-10, -3, -1
Let y be 9/189*7*9. Let b(l) be the first derivative of l**y + 0*l + 0*l**2 + 0*l**4 + 3 - 3/5*l**5. Factor b(x).
-3*x**2*(x - 1)*(x + 1)
Suppose -5*r = 5*y + 15, -10*y - 9 = -2*r - 9*y. Solve -1/7*a**r - 6/7*a - 9/7 = 0.
-3
Suppose 3*d - 5*r = 10, -d - 4 + 6 = -r. Let w(x) be the third derivative of -3*x**3 + d + 5/4*x**4 - 7/30*x**5 + 0*x + 1/60*x**6 - 2*x**2. Solve w(f) = 0.
1, 3
Let a(m) be the first derivative of m**5/20 + 3*m**4/4 + 9*m**3/2 - 16*m**2 + 16. Let z(q) be the second derivative of a(q). Suppose z(p) = 0. Calculate p.
-3
Let y(v) = -6*v**2 - 27*v - 36. Let b(q) = q**2 + 2*q. Let a(t) = -3*b(t) - y(t). Factor a(r).
3*(r + 3)*(r + 4)
Let c be (504/224)/(2 + (-10)/8). Let z(s) be the first derivative of -1/6*s**c + 1/8*s**4 + 0*s - 1/12*s**6 + 1/10*s**5 + 5 + 0*s**2. Solve z(f) = 0