 - 696 = 0.
-239, -1
Suppose 11*y - 23*y = 0. Suppose 23*s - 12*s - 33 = y. Factor -3/2*u**3 - 9/4 + s*u + 15/4*u**2.
-3*(u - 3)*(u + 1)*(2*u - 1)/4
Let c(n) be the third derivative of -125/24*n**4 + 0*n - 7/6*n**5 - 1/24*n**6 - 68*n**2 + 0 - 10*n**3. Suppose c(x) = 0. Calculate x.
-12, -1
Let i(x) be the second derivative of -x**4/36 - 64*x**3/9 + 22*x - 9. Factor i(q).
-q*(q + 128)/3
Factor -2/3*p**5 - 25974*p - 9564*p**2 - 4124/3*p**3 - 24642 - 166/3*p**4.
-2*(p + 3)**3*(p + 37)**2/3
Factor 8 + 18*l + 9/2*l**3 + 1/2*l**4 + 14*l**2.
(l + 1)*(l + 2)**2*(l + 4)/2
Let x(v) be the first derivative of v**2 + 3*v - 63 - 1/3*v**3. Factor x(l).
-(l - 3)*(l + 1)
Let x(v) = v**3 + 55*v**2 + 527*v + 473. Let r be x(-43). Find n, given that -2/9*n**2 + 40/9*n + r = 0.
0, 20
Let b(s) be the third derivative of -s**8/336 - s**7/6 - 67*s**6/120 - 11*s**5/20 - 2*s**2 - 64. Determine f, given that b(f) = 0.
-33, -1, 0
Let v(y) = -y**4 - 2*y**3 - y. Let t(h) = 4*h**4 - 157*h**3 - 165*h**2 + 172*h + 166. Let s(q) = -3*t(q) - 15*v(q). Suppose s(p) = 0. Calculate p.
-166, -1, 1
Let n = -98434/11 - -96183/11. Let l = n + 205. Find u such that l*u**4 - 1/11*u**5 + 0*u + 0 + 2/11*u**2 - 5/11*u**3 = 0.
0, 1, 2
Let g(r) be the first derivative of 55/12*r**4 + 89 - 4/3*r**5 + 80/9*r**3 - 5/6*r**6 + 0*r + 10/3*r**2. Find z, given that g(z) = 0.
-2, -1, -1/3, 0, 2
Let g(t) = 8 - 161*t - 6*t**2 + 6*t**2 + 153*t + t**3. Let m be g(-3). Suppose -2/7*c + 12/7*c**2 + 4/7*c**3 - 2/7*c**m - 6/7*c**4 - 6/7 = 0. What is c?
-3, -1, 1
Let i(d) be the third derivative of -d**6/30 - 5*d**5/3 + 109*d**4/3 - 128*d**3 + 3598*d**2. Factor i(t).
-4*(t - 6)*(t - 1)*(t + 32)
Let p(z) be the first derivative of 3*z**5/35 - 15*z**4/14 - z**3/7 + 15*z**2/7 + 400. What is o in p(o) = 0?
-1, 0, 1, 10
Let w(d) be the first derivative of 2*d**3/5 + 210*d**2 + 36750*d - 6749. Factor w(c).
6*(c + 175)**2/5
Let f be (-3*4/30)/((-3)/15). Find d, given that f*d**2 - 3*d**2 - 260*d + 3871 + 6*d**2 - 491 = 0.
26
Let -130*t**4 + 460*t + 276 + 1422*t**2 - 340 - 5*t**5 - 416 + 4*t**3 - 229*t**3 - 1042*t**2 = 0. What is t?
-24, -2, 1
Let i be ((-13758)/(-11465))/(14/4 - 2). Solve -16/5 + 4*y**2 - 14*y**3 + 56/5*y - i*y**4 + 14/5*y**5 = 0.
-2, -1, 2/7, 1, 2
Factor -816383*l**2 + 21390*l - 878598*l**2 - 546770*l**2 - 45 - 300094*l**2.
-5*(713*l - 3)**2
Factor 5/2*t**2 - 21/2*t - 10.
(t - 5)*(5*t + 4)/2
Let b(i) = -4*i**5 - i**4 - 8*i**2 - i. Let s(l) = 19*l**5 - 12*l**4 + 165*l**3 + 2965*l**2 + 5*l. Let p(w) = 10*b(w) + 2*s(w). Suppose p(k) = 0. Calculate k.
-15, 0, 13
Let y(r) = r - 8. Let a be y(-6). Let b be (1/6)/(a/(-28)). Let 4/3*w**4 + 2/3*w**2 + b*w**5 + 0*w + 5/3*w**3 + 0 = 0. Calculate w.
-2, -1, 0
Let y(t) = -t**3 - 11*t**2 + t. Let b be 0 - 0 - (5 + -1). Let s be 1/(6/88)*26/((-390)/(-45)). Let f(i) = -i**2. Let r(q) = b*y(q) + s*f(q). Factor r(c).
4*c*(c - 1)*(c + 1)
Let m be (58 + 2)*20/50. Solve -59*i**4 - 15*i - m*i**3 - 48*i**4 + 111*i**4 + 12 - 25*i + 48*i**2 = 0.
1, 3
Let z = 5105 - 5105. Let h(j) be the second derivative of 0 + 3/16*j**2 + z*j**3 - 10*j - 1/32*j**4. Factor h(d).
-3*(d - 1)*(d + 1)/8
Suppose 47*n + 232 = 149*n - 44*n. Let 8*x**3 + 4/3*x**5 + 20/3*x**n - 8/3*x**2 - 4 - 28/3*x = 0. What is x?
-3, -1, 1
Let w(c) be the third derivative of -c**8/84 + 8*c**7/105 + 2*c**6/5 - 32*c**5/15 - 32*c**4/3 - 288*c**2. Factor w(o).
-4*o*(o - 4)**2*(o + 2)**2
Let z(u) be the third derivative of u**5/20 - u**4/3 - u**3 - 9*u**2. Let d be z(4). Solve -4 + 22*h - 42*h**2 - d*h**4 + 26*h**3 + 28*h**3 - 20*h**3 = 0 for h.
2/5, 1
Factor 2117021/2*w + 1454*w**2 + 2111209 + 1/2*w**3.
(w + 2)*(w + 1453)**2/2
Let k(b) be the first derivative of 2*b**3/45 - 11*b**2/5 + 64*b/15 + 4933. Suppose k(q) = 0. What is q?
1, 32
Let a = 119203 - 476809/4. Find d such that -a*d**5 + 0 + 0*d**2 + 3/2*d**3 - 3/4*d**4 + 0*d = 0.
-2, 0, 1
Factor 93/2*t - 1/6*t**4 + 0 + 257/6*t**2 - 23/6*t**3.
-t*(t - 9)*(t + 1)*(t + 31)/6
Factor -1408/3*a**3 + 494209/3 + 165674*a**2 - 989824/3*a + 1/3*a**4.
(a - 703)**2*(a - 1)**2/3
Let z = -3943/532 - -585/76. Factor 2 + 2/7*n**3 - z*n - 2*n**2.
2*(n - 7)*(n - 1)*(n + 1)/7
Let n(f) be the first derivative of -4/5*f**3 + 4/5*f**4 + 3/10*f**2 + 14 - 14*f. Let c(m) be the first derivative of n(m). Factor c(x).
3*(4*x - 1)**2/5
Factor 2*k**2 - 2742 + 836*k + 475*k - 6*k - 1128 - 7*k**2.
-5*(k - 258)*(k - 3)
Let u be (-11)/((-55)/(-40)) - -13. Factor 59*j**2 - 11*j**4 - 12*j**2 + 3*j**u + 13*j**3 - 52*j**2.
j**2*(j - 1)**2*(3*j - 5)
Solve -16/7*b + 16/7*b**3 - 2 + 12/7*b**2 + 2/7*b**4 = 0.
-7, -1, 1
Solve -1412*d**4 + 1415*d**4 - 28*d**2 - 11*d**2 + 36*d = 0.
-4, 0, 1, 3
Let j be (-42)/(-36) - ((-9)/(-16) - 178/2848). Let -616*b - 1052/3*b**2 - j*b**4 - 88/3*b**3 - 294 = 0. Calculate b.
-21, -1
Let s(w) be the second derivative of 5*w**4/12 + 175*w**3/6 + 165*w**2 + 2272*w. Factor s(m).
5*(m + 2)*(m + 33)
Let m(b) = -9*b + 22. Let i be m(0). Factor -1898*r - 78 + 1654*r + i + 36*r**2.
4*(r - 7)*(9*r + 2)
Suppose -182 = 176*i - 162*i. Let w(b) = 4*b**3 - 46*b**2 - 234*b + 276. Let q(u) = -9*u**3 + 92*u**2 + 467*u - 550. Let p(h) = i*w(h) - 6*q(h). Factor p(m).
2*(m - 1)*(m + 12)**2
Let k(f) be the third derivative of -5*f**8/336 + f**7/6 - 3*f**6/4 + 5*f**5/3 - 5*f**4/3 + 1267*f**2. Determine u so that k(u) = 0.
0, 1, 2
Factor 76*k**2 - k**5 - 58857291*k**3 + 58857234*k**3 - 18*k + 21*k**4 - 21*k**2.
-k*(k - 18)*(k - 1)**3
Factor -179*n - 62*n - n**2 + 323*n + 344.
-(n - 86)*(n + 4)
Let m(a) be the first derivative of 29*a**3/3 - 46*a**2 - 5*a + 84. Let q(v) = -10*v**2 + 32*v + 2. Let k(l) = 6*m(l) + 17*q(l). Factor k(s).
4*(s - 1)**2
Suppose -9 = 10*x - 13*x. Determine w so that -16*w**2 - 14*w - 4 + 4*w**4 + 527*w**5 - 2*w**x - 2*w**3 - 525*w**5 = 0.
-1, 2
Let z(n) be the second derivative of n**6/5 - 137*n**5/50 + 81*n**4/10 - 9*n**3 + 14*n**2/5 - 1426*n. Find a, given that z(a) = 0.
2/15, 1, 7
Let l(q) be the second derivative of -2447*q**5/10 + q**3/6 + q**2/2 + 18*q. Let x be l(-1). Factor 4894*z + 2*z**4 + 2*z**2 - x*z - 4*z**3.
2*z**2*(z - 1)**2
Factor -92/5*d**3 - 1350 - 1620*d - 2/5*d**4 - 288*d**2.
-2*(d + 1)*(d + 15)**3/5
Factor -27/5*z**3 + 0 + 0*z + 7/5*z**2 - 4/5*z**4.
-z**2*(z + 7)*(4*z - 1)/5
Let r(v) = -v**2 - 9*v + 93. Let h be r(-15). What is w in 134*w - 2*w**3 + w**2 + h*w**2 - 136*w = 0?
0, 1
Suppose 5*q = 263 - 168. Factor 4*d**4 - 9*d**4 - 22*d**3 + 13*d**3 + q*d**3.
-5*d**3*(d - 2)
Let f(b) be the second derivative of 2*b**6/105 + 4*b**5/7 + 29*b**4/21 - 244*b**3/21 + 144*b**2/7 - 1001*b. Find s, given that f(s) = 0.
-18, -4, 1
Let i(m) be the third derivative of 0*m**6 + 0 + 1/840*m**7 - 1/192*m**4 + 1/2688*m**8 + 2*m - 1/240*m**5 + 0*m**3 + 22*m**2. Factor i(j).
j*(j - 1)*(j + 1)**3/8
Let g(z) be the first derivative of z**8/1176 - z**7/49 + 4*z**6/35 - 22*z**5/105 - 109*z**2/2 - 128. Let j(p) be the second derivative of g(p). Factor j(h).
2*h**2*(h - 11)*(h - 2)**2/7
Factor 8/15*x + 2/15*x**2 - 2/3.
2*(x - 1)*(x + 5)/15
Let r(x) be the first derivative of x**8/560 + x**7/56 - 7*x**6/60 + 8*x**3/3 - 13*x + 93. Let v(o) be the third derivative of r(o). Let v(l) = 0. What is l?
-7, 0, 2
Let m(y) = y**2 - 3120*y + 6238. Let x be m(2). Factor 7/4 - 11/2*l + 3/4*l**x.
(l - 7)*(3*l - 1)/4
Let v(n) be the first derivative of -136/3*n**3 + 640*n**2 + n**4 - 2048*n + 258. Find g such that v(g) = 0.
2, 16
Suppose 1128*i - 128/7*i**2 - 474/7*i**3 - 2/7*i**5 + 60/7*i**4 - 2016 = 0. Calculate i.
-4, 3, 14
Let j(p) be the second derivative of -p**7/189 + 2*p**6/45 + 7*p**5/90 + 343*p. Determine q so that j(q) = 0.
-1, 0, 7
Find q, given that -2*q**4 - 919*q**2 + 32*q**3 + 216*q + 1656*q**2 - 887*q**2 = 0.
0, 3, 4, 9
Factor -3861/4*x + 9801/4 - 3/4*x**3 + 207/4*x**2.
-3*(x - 33)**2*(x - 3)/4
Let a = 130 + -105. Let w be 6*(a/(-45) + 3 - 2). Factor 2/3*d**2 - 10/3*d + w.
2*(d - 4)*(d - 1)/3
Let p be (-20)/70 + (-228)/(-14). Let g be -6*-2*12/16 - -1. Find f, given that -g*f**3 - 13*f**4 + 9*f**2 - 6*f - 21*f + 25*f**3 + p*f**4 = 0.
-3, 0, 1
Let o(n) be the second derivative of n**4/24 - 115*n**3/4 + 120*n - 6. Factor o(s).
s*(s - 345)/2
Let j = 289 + -276. Suppose j*f**5 - 4*f**4 - 8*f**4 - 12*f**3 + 11*f**5 - 4*f**2 - 28*f**5 = 0. What is f?
-1, 0
What is p in 6*p**2 -