4/7 + 226/7*l.
-2*(l - 29)*(l + 1)*(l + 3)/7
Let s = 241 - 235. Let b(t) = -t**4 + t**3 + t + 1. Let j(z) = 2*z**4 + 12*z**3 + 16*z**2 - 3*z - 3. Let p(x) = s*b(x) + 2*j(x). What is n in p(n) = 0?
-1, 0, 16
Let b(x) = 184*x - 546. Let n be b(3). Let g(u) be the second derivative of 1/7*u**4 + 0 - n*u + 0*u**2 + 3/140*u**5 + 2/7*u**3. Factor g(v).
3*v*(v + 2)**2/7
Let w = -137 + 194. Suppose 39*a**2 + 21*a**2 - w*a**2 = 0. What is a?
0
Let h be -1*(-4)/(-9) + (-5)/(-2700)*564. Factor 2/5*k**2 - 2/5*k**3 + 3/5*k + 1/5 - h*k**4 - 1/5*k**5.
-(k - 1)*(k + 1)**4/5
Let s(k) be the second derivative of k**4/66 + 2846*k**3/33 + 2024929*k**2/11 + 1204*k. Factor s(h).
2*(h + 1423)**2/11
Suppose -k = 2*x - 12, -113*k - 3*x = -112*k - 17. Factor 0 + 0*d + 2/7*d**3 - 1/7*d**k.
d**2*(2*d - 1)/7
Let d(u) = 12*u**4 - 70*u**3 - 218*u**2 + 1140*u + 398. Let f(k) = -k**3 - 7*k**2 - 1. Let x(n) = -d(n) + 2*f(n). Let x(s) = 0. What is s?
-4, -1/3, 5
Let z(b) = -b**3 - 3*b**2 + 2*b + 1. Let f(y) = -18*y**3 + 278*y**2 - 488*y - 82. Let h(l) = f(l) + 10*z(l). Solve h(d) = 0.
-1/7, 3, 6
Suppose -3*v = -1 - 11, 0 = 5*h - v - 6. Let -12 - 712*i + 0 + 15842*i**h + 16 + 4 = 0. Calculate i.
2/89
Let o(y) = 70*y**2 + 536*y - 1518. Let g(z) = -6*z**2 - 6. Let u(h) = 12*g(h) + o(h). Factor u(a).
-2*(a - 265)*(a - 3)
Let x(o) = 5*o**2 + 120*o + 718. Let r(d) = -1. Let w(k) = -2*k**2 - 22*k - 2. Let p be w(-11). Let a(n) = p*r(n) + x(n). Determine v, given that a(v) = 0.
-12
Factor -507*x - 4*x**2 - 1716 + 702*x + 389*x.
-4*(x - 143)*(x - 3)
Let r(t) = -25*t + 254. Let c be r(10). Let 6*h**2 + 4*h + 314*h**c - 161*h**4 - 8 - h**3 - 154*h**4 = 0. What is h?
-2, 1, 2
Let k(r) = -24*r**4 + 45*r**3 - 108*r**2 + 105*r - 54. Let n(m) = 11*m**4 - 23*m**3 + 55*m**2 - 53*m + 26. Let a(s) = -4*k(s) - 9*n(s). Factor a(v).
-3*(v - 6)*(v - 1)**3
Let z(s) be the third derivative of s**6/180 - 307*s**5/120 + 115*s**4/72 + 9*s**2 - 199. Factor z(v).
v*(v - 230)*(4*v - 1)/6
Solve 0 - 276*m**2 - 2/3*m**5 - 162*m - 68/3*m**4 - 136*m**3 = 0 for m.
-27, -3, -1, 0
Determine u so that -2/9*u**5 + 0 + 40/9*u + 64/9*u**2 - 20/9*u**4 + 2/3*u**3 = 0.
-10, -1, 0, 2
Let r(p) be the second derivative of -p**4/48 - 5*p**3/24 + 63*p**2/4 + 1503*p + 2. What is k in r(k) = 0?
-14, 9
Let s(c) = c**2 + 19*c - 12. Let q(a) = -2*a**2 - 37*a + 25. Let i(h) = -6*h - 112. Let x be i(-18). Let j(r) = x*q(r) - 7*s(r). What is d in j(d) = 0?
-16, 1
Let u(w) be the third derivative of 2*w**2 + 0*w**3 + 2/45*w**5 + 61/90*w**6 + 0*w + 0*w**4 + 14. What is m in u(m) = 0?
-2/61, 0
Let n = 532 + -508. Let u be (-51)/(-306)*n/38. Factor 2/19*p**3 + 0 - 2/19*p**5 - u*p**2 + 2/19*p**4 + 0*p.
-2*p**2*(p - 1)**2*(p + 1)/19
Suppose -4*d + 16*d = 6*d + 96. Let y(a) be the third derivative of -1/24*a**6 + 0*a**4 + 0*a**3 + d*a**2 + 0 + 0*a - 1/12*a**5. Let y(n) = 0. Calculate n.
-1, 0
Let z(a) = 2*a**4 - 6*a**3 - a**2 - a + 1. Let q(p) = -7*p**4 + 51*p**3 - 49*p**2 - 181*p + 196. Let v(g) = q(g) + 2*z(g). Suppose v(d) = 0. What is d?
-2, 1, 3, 11
Suppose 8*w + 63 = 15. Let r be 1/(-2) + w/(-4). Suppose a + r - 4*a**2 - 9*a + 5 + 6*a**2 = 0. Calculate a.
1, 3
Let d(l) = 4*l**3 + 29*l**2 + 133*l + 885. Let q be d(-7). Let -1/6*m**4 - 1/6*m + 1/6*m**2 + 1/6*m**q + 0 = 0. What is m?
-1, 0, 1
Let p = 15632 + -15626. Let s(g) be the first derivative of 2/7*g**2 + 2/21*g**p + 0*g**3 - 27 + 0*g + 0*g**5 - 2/7*g**4. Factor s(o).
4*o*(o - 1)**2*(o + 1)**2/7
Find x such that -779/7*x**4 + 157/7 - 946/7*x**3 + 622/7*x**2 + 5/7*x**5 + 941/7*x = 0.
-1, -1/5, 1, 157
Let j = -8009 - -24029/3. Let d(v) be the first derivative of -3/8*v**4 - 9/4*v + 1/20*v**5 + 3/4*v**2 + 15 + j*v**3. Factor d(l).
(l - 3)**2*(l - 1)*(l + 1)/4
Let a(v) be the third derivative of -v**7/630 - 7*v**6/540 + v**5/45 - 113*v**3/6 + 3*v**2 + 9. Let g(d) be the first derivative of a(d). Factor g(x).
-2*x*(x + 4)*(2*x - 1)/3
Solve -3261*b + 2211*b**4 - 3008*b**2 - 27*b**5 + 2514*b**3 + 774*b + 1046*b**2 - 249 = 0 for b.
-1, -1/9, 1, 83
Find d, given that -54 - 1/4*d**3 - 9/2*d**2 - 27*d = 0.
-6
Let k(y) be the first derivative of -1444/3*y**3 + 0*y + 0*y**2 + 49 + 323*y**4 + 2/3*y**6 + 148/5*y**5. Solve k(j) = 0 for j.
-19, 0, 1
Let g(t) = 56*t - 280. Let q be g(5). Let x be (3/15)/(21/45 + q). Factor -x*d**2 - 9/7*d + 0.
-3*d*(d + 3)/7
Let l(z) be the second derivative of -z**4/8 - 45*z**3/2 + 2037*z**2/4 - 8235*z + 2. Determine q, given that l(q) = 0.
-97, 7
Solve 2*b**3 + 219 + 165*b**2 - b**3 + 2*b**3 + 321*b - 60 = 0.
-53, -1
Let f(z) be the second derivative of -11/80*z**5 + 15 - 11/48*z**4 + 0*z**2 - 1/8*z**3 + 1/84*z**7 - 1/120*z**6 - 5*z. Let f(i) = 0. What is i?
-1, -1/2, 0, 3
Suppose 177*l - 114 = -114. Factor l*r - 10/7*r**4 + 0 + 16/7*r**3 + 8/7*r**2.
-2*r**2*(r - 2)*(5*r + 2)/7
Let d(q) be the first derivative of q**7/3360 - q**6/1440 - q**5/120 + q**4/24 - 40*q**3 - q**2/2 - 63. Let p(s) be the third derivative of d(s). Factor p(v).
(v - 2)*(v - 1)*(v + 2)/4
Let t(y) = -16*y**4 - 12*y**3 + 84*y**2 - 122*y + 26. Let l(c) = 5*c**4 + 4*c**3 - 28*c**2 + 40*c - 8. Let u(d) = 39*l(d) + 12*t(d). Factor u(o).
3*o*(o - 2)**2*(o + 8)
Let d(n) be the second derivative of -n**6/6 + 3*n**5/2 - 25*n**4/12 + 5847*n. Determine p, given that d(p) = 0.
0, 1, 5
Suppose 0 = 6*l - 5*l + 3*h - 18, 5*h = 5*l - 90. Let -5*d**2 - l*d - 121 + 9*d**2 + 9 - 90*d = 0. What is d?
-1, 28
Suppose i = 3*v + 2*v + 24, 4*i = 3*v + 28. Factor -5586*l**i + l**5 + 5597*l**4 + 19 + 23*l**3 - 47*l**2 - 24*l + 17.
(l - 1)**2*(l + 1)*(l + 6)**2
Let l(y) be the first derivative of 5*y**4/4 - 25*y**3/3 - 65*y**2 + 600*y + 3911. Determine f, given that l(f) = 0.
-5, 4, 6
Let l(x) be the second derivative of -x**4/12 + 261*x**3 - 613089*x**2/2 - x + 1587. Suppose l(b) = 0. Calculate b.
783
Let r(j) be the third derivative of 8*j**7/735 + j**6/10 + 6*j**5/35 - 11*j**4/42 - 8*j**3/7 + 9390*j**2. Let r(q) = 0. Calculate q.
-4, -1, 3/4
Suppose -4616*j + 2317*j - 76 = -2337*j. Let -4/3*i - 5*i**j + 20/3 + 1/3*i**4 - 2/3*i**3 = 0. What is i?
-2, 1, 5
Let o(t) = -t**2 + 46*t - 384. Let p be o(34). Let s(a) be the third derivative of 0*a - 5/8*a**4 - p*a**2 + 0 - 5/3*a**3 - 1/12*a**5. Factor s(q).
-5*(q + 1)*(q + 2)
Let p(g) be the third derivative of -g**6/120 + g**5/80 + 121*g**4/96 + 5*g**3/4 - 2151*g**2. Factor p(r).
-(r - 6)*(r + 5)*(4*r + 1)/4
Let i(c) be the third derivative of -13/600*c**5 - 2*c**3 - 7/120*c**4 - c**2 + 0*c + 1/900*c**6 + 0. Let n(o) be the first derivative of i(o). Solve n(t) = 0.
-1/2, 7
Let f(l) be the first derivative of -2*l**5/25 - l**4/2 - 14*l**3/15 - 3*l**2/5 + 5852. Factor f(w).
-2*w*(w + 1)**2*(w + 3)/5
Find k, given that -93 - 1485/8*k + 3/8*k**3 - 369/4*k**2 = 0.
-1, 248
Let z(p) be the second derivative of p**6/180 - 13*p**5/20 + 217*p**4/8 - 3844*p**3/9 + 39*p - 25. Find g, given that z(g) = 0.
0, 16, 31
Let c = -54518 + 163556/3. Find a, given that 2*a + c - 20/3*a**2 = 0.
-1/5, 1/2
Determine x so that 0*x + 3/2*x**3 + 0 - 1137/2*x**2 = 0.
0, 379
Let w(d) be the second derivative of -d**6/6 + d**5/2 + 95*d**4/12 - 50*d**3/3 - 360*d - 5. Factor w(j).
-5*j*(j - 5)*(j - 1)*(j + 4)
Let d(u) be the first derivative of 3/4*u**2 - 5/4*u + 1/3*u**3 + 45 - 3/8*u**4 + 1/20*u**5. Factor d(w).
(w - 5)*(w - 1)**2*(w + 1)/4
Let k be (1319/(-12) - (-1)/4) + -2. Let o = k - -113. Determine l, given that o + 2*l + 1/6*l**3 + l**2 = 0.
-2
Let n(i) = -6 - 9*i + 7 + 10*i. Let w(a) = 5*a**4 - 105*a**3 + 95*a**2 + 100*a - 105. Let f(m) = 5*n(m) + w(m). What is c in f(c) = 0?
-1, 1, 20
Let g = 540 - 512. Suppose -2*d = -3*r - 0*d + 27, -3*d - 9 = -r. Find i such that -180 - r*i**2 - 11*i**2 + g*i**2 - 13*i**2 - 60*i = 0.
-6
Let r(x) = -x**2 + 169*x - 7050. Let z be r(82). Determine h so that -12*h + 3/7*h**2 + z = 0.
14
Let g = -143 - -145. Let k(w) be the second derivative of 15/4*w**g - 7*w - 5/6*w**3 + 0 + 5/72*w**4. Factor k(x).
5*(x - 3)**2/6
Determine l, given that -86/9*l**3 + 2/9*l**5 - 28/3*l**2 + 0*l + 0 + 0*l**4 = 0.
-6, -1, 0, 7
Let n be 25/((-300)/(-8))*72/30. Factor 0*w - n + 1/10*w**2.
(w - 4)*(w + 4)/10
Let k be 470/329 + 8/14. Suppose 0 = 4*i - 28 - 8. Factor -7 + u**2 - 5 - i*u - u - 3*u**k.
-2*(u + 2)*(u + 3)
Let g(o) be the first derivative of o**4/4 - 109*o**3/3 - 111*o**2 -