 52*l**4 - 480*l**3 - 6*l**4 + 1632 + 20872*l**2 + 5012*l**2 = 0.
-24, -1/4, 17
Let t = 8575 - 111421/13. Let l = 1238/273 - t. Suppose l*m - 2/21*m**2 + 10/21 = 0. Calculate m.
-1, 5
Let g(x) = -4*x + 56. Let p be g(-24). Suppose 16*s + p - 184 = 0. Suppose 4/9 + 2/3*h - 2/9*h**3 + 0*h**s = 0. What is h?
-1, 2
Find t such that -5056*t + 465*t**3 - 5067*t + 261*t**4 + 187*t**2 + 10141*t - 35*t**5 = 0.
-1, -2/5, -1/7, 0, 9
Factor -2/9*j**3 + 2/9*j + 112/9 - 112/9*j**2.
-2*(j - 1)*(j + 1)*(j + 56)/9
Let n = -1/4987 + 4990/14961. Find q, given that n*q**2 - 19/3*q + 0 = 0.
0, 19
Let s(c) be the second derivative of -3*c**5/100 - 7*c**4/5 - 5*c**3/2 + 81*c**2/5 - 437*c. Solve s(i) = 0.
-27, -2, 1
Suppose 15*o - 452 + 407 = 0. Let q(h) be the third derivative of -2*h**2 + 0*h**4 + 1/5*h**5 - 8/3*h**o + 0*h - 1/30*h**6 + 0. Factor q(p).
-4*(p - 2)**2*(p + 1)
Let i(m) be the first derivative of m**4/12 - 20*m**3/9 - 61*m**2/2 - 54*m + 2738. Factor i(s).
(s - 27)*(s + 1)*(s + 6)/3
Let -2729*n**3 + 5461/2*n - 3/2*n**5 + 1053*n**2 - 1849/2 - 257/2*n**4 = 0. Calculate n.
-43, -1, 1/3, 1
Let o(u) = -u**3 - 21*u**2 - 2*u - 43. Let x be o(-21). Let t be 9 + x + (-7 - -1). Let 2/13*f**t - 6/13 - 4/13*f = 0. What is f?
-1, 3
Let j = -46 - -30. Let f be ((-8)/j)/((-1)/(-28)*2). Factor -1 + 3*l**5 + 1 + 12*l**3 - 19*l**4 + f*l**4.
3*l**3*(l - 2)**2
Let x(u) = -8 + 30*u**3 + 24 - 42*u**2 + 3 - 20*u**4 + 18*u + 9. Let l(b) = 7*b**4 - 10*b**3 + 14*b**2 - 6*b - 10. Let a(j) = -14*l(j) - 5*x(j). Factor a(c).
2*c*(c - 3)*(c - 1)**2
Let d(o) = 61*o + 17 - 60*o + 1. Let v be d(-15). Factor -44*b**v + 8*b**2 - 28*b**5 + 46*b**4 + 8*b**4 + 10*b**4.
-4*b**2*(b - 1)**2*(7*b - 2)
Let c be 16/4 - (-1)/(4/(-16)). Suppose 4*y - 3*y + 3 = k, k + 2*y - 6 = c. Factor 3/2*a**2 + 2 - k*a.
(a - 2)*(3*a - 2)/2
Let p be (15/(-3))/(-6 + 5). Let n be 1 + 1*((11 - p) + -5). Factor 2/17*t - 4/17 + 2/17*t**n.
2*(t - 1)*(t + 2)/17
Let j(k) be the second derivative of -3 + 37/15*k**4 + 2/15*k**6 + 0*k**2 + 30*k - 52/15*k**3 + 68/25*k**5. Solve j(t) = 0 for t.
-13, -1, 0, 2/5
Let i(a) = 14054*a + 84342. Let c be i(-6). Let 15/8*l**2 - 15/2 - c*l = 0. What is l?
-2/5, 10
Let t = 1240/79 - 3088/237. Let n(w) be the third derivative of 1/15*w**5 - t*w**3 + 17*w**2 - 3/20*w**6 + 0*w + 3*w**4 + 0. Suppose n(a) = 0. Calculate a.
-2, 2/9, 2
Let s(u) be the first derivative of 4/7*u**3 + 0*u + 5/7*u**2 + 1/14*u**4 + 87. Factor s(j).
2*j*(j + 1)*(j + 5)/7
Let o(c) be the first derivative of c**3/30 - 9*c**2/5 + 1831. Factor o(w).
w*(w - 36)/10
Solve -1925/4*u + 2865/2 + 5/4*u**2 = 0.
3, 382
Suppose -29 = 5*o - 49. Let -2*m**3 + 7*m**2 + 9 + 19*m**o - 20*m**4 - 13*m - 3 + 3*m**3 = 0. What is m?
-3, 1, 2
Let z be (-138)/(-720)*8 + (-11)/55. Find o, given that 2*o**2 + 4/3*o + z*o**3 + 1/3 + 1/3*o**4 = 0.
-1
Let m(d) = -97*d**2 - 39964*d + 4. Let y be m(-412). Find a, given that -2/7*a**2 + 10/7*a**3 + a**y + 1/7*a**5 - 5/7 - 11/7*a = 0.
-5, -1, 1
Let a be (-8711)/(-562)*144/186. Determine x, given that a - 9/2*x**2 + 1/2*x**3 + 7*x = 0.
-1, 4, 6
Suppose -36 = -75*f + 72*f. Let p be 21/(-252) + 17/f. Factor 2/3*c**3 - p - 2/3*c + 4/3*c**2.
2*(c - 1)*(c + 1)*(c + 2)/3
Let j(c) be the second derivative of c**6/330 + c**5/20 + 5*c**4/22 - 654*c + 3. Solve j(t) = 0.
-6, -5, 0
Factor 104875 + 9*c**2 - 695*c - 106425 - 70*c - 4*c**2.
5*(c - 155)*(c + 2)
Let l(j) be the first derivative of -2*j**3/15 + 7*j**2/5 + 12*j - 847. Factor l(n).
-2*(n - 10)*(n + 3)/5
Let x(f) be the first derivative of 16*f**6/3 + 112*f**5/5 + 49*f**4/2 - 8*f**3/3 - 11*f**2 + 4*f - 70. Let x(q) = 0. Calculate q.
-2, -1, 1/4
Let r(t) = -24*t**3 + 60*t**2 - 256*t - 20. Let j(w) = -w**3 + w**2 - 11*w - 1. Let c(s) = -20*j(s) + r(s). Let c(b) = 0. Calculate b.
0, 1, 9
Let x(v) be the second derivative of 2/5*v**5 + 0*v**6 - 2/63*v**7 + 8/9*v**4 + 0 - 29*v + 0*v**2 + 2/3*v**3. Determine j so that x(j) = 0.
-1, 0, 3
Let z(o) be the first derivative of 4*o**3/9 + 454*o**2/3 - 304*o - 6005. What is x in z(x) = 0?
-228, 1
Suppose 4*r + 4 = 0, 0 = -18*o + 17*o - 4*r + 271. Let c = o + -823/3. Suppose -c*i**5 - 12*i**3 + 0 + 40/3*i**2 + 14/3*i**4 - 16/3*i = 0. What is i?
0, 1, 2
Let l be ((-12)/27)/((-46)/207). Suppose -l*i = 2*i - 6*i. Factor -4/3*f**2 + i*f + 0*f**3 + 0 + 1/3*f**4.
f**2*(f - 2)*(f + 2)/3
Suppose 23*d**4 - d**5 - 57*d**4 + 83*d - 35*d**2 + 17*d**4 - 15*d**3 - 7*d - 36 + 28*d**4 = 0. Calculate d.
-2, 1, 2, 9
Let n = -15416837/174 - -88604. Let y = n - -1/87. Factor 3/4*q + 0 + 0*q**3 - 3/2*q**2 + y*q**4 - 3/4*q**5.
-3*q*(q - 1)**3*(q + 1)/4
Let o = 50/33 + -151/165. Solve 372/5*w - 11532/5 - o*w**2 = 0 for w.
62
Let n(t) be the third derivative of 84*t**2 + 0*t**3 + 0*t + 1/1050*t**7 + 3/100*t**5 - 1/30*t**4 - 1/100*t**6 + 0. Factor n(v).
v*(v - 4)*(v - 1)**2/5
Let s(q) be the first derivative of -q**4/30 - 18*q**3/5 + 11*q**2 - 166*q/15 + 962. Find k, given that s(k) = 0.
-83, 1
Let j = -30 + 18. Let p(u) = u**3 + 12*u**2 - 2*u - 20. Let w be p(j). Find b such that -b**3 + 2*b**3 - 4*b**3 + 3*b**w + 2*b**5 - 3*b**5 + b**2 = 0.
0, 1
Let 65*j**4 - 4 + 4 - 2071*j**2 + 2042*j**2 + 5959*j - 5961*j - 34*j**3 = 0. Calculate j.
-2/5, -1/13, 0, 1
Factor 8*g**2 - 101*g + 53*g + 63*g + 3*g**2 - 3*g**2 + g**3.
g*(g + 3)*(g + 5)
Let z(j) be the second derivative of j**7/2520 + 7*j**6/2880 - j**5/240 - j**4/2 + 54*j + 2. Let w(m) be the third derivative of z(m). Factor w(a).
(a + 2)*(4*a - 1)/4
Factor -n**2 + 194*n**4 + 10*n**3 + 188*n**4 - 2 - 381*n**4 + 2 - 10*n.
n*(n - 1)*(n + 1)*(n + 10)
Let b be (-1 + 1/2)*(7 + -13). Let d be 3*(2 + 1) + b. Suppose -8*c**5 - 3*c**5 - 5*c**3 - c + d*c**5 + 5*c = 0. What is c?
-2, -1, 0, 1, 2
Suppose 7*y + 12 - 26 = 0. Suppose 4*h = 4*j - 0*j - 12, 3*j - 8 = y*h. Factor 8/25*z - 2/25*z**j - 6/25.
-2*(z - 3)*(z - 1)/25
Let t be (-18 - -2) + (-43288)/(-2688). Let g(h) be the third derivative of 0*h**3 - 18*h**2 + 1/240*h**5 + 0*h + 0 - t*h**4. Factor g(z).
z*(z - 10)/4
Let l(m) = 380*m - 63400. Let s be l(167). Solve 1/3*n**5 - 8*n**3 + s*n**2 - 7/3*n**4 + 0*n + 0 = 0 for n.
-5, 0, 6
Find x such that 130/3*x**3 - 64 + 908/9*x**2 - 338/9*x**4 - 128/3*x = 0.
-12/13, 1, 2
Factor 0 + 243/5*z + 3/5*z**2.
3*z*(z + 81)/5
Let w = -389 + 553. Suppose -j = -u + 4*u - 266, w = 2*u - 2*j. Factor 45*h**3 - u*h**3 + 39*h**3 + 3*h**2.
-3*h**2*(h - 1)
Let o(h) = -h**2 - h + 18. Let m be o(0). Suppose -48*d = -57*d + m. Determine a so that 0 + 1/4*a + 5/8*a**d = 0.
-2/5, 0
Let x = 37 + -25. Suppose 4*c = 5*p - 4, 0 = 6*p - p - 2*c - x. Factor -12*j + 17 + 4*j**2 - 2*j**p + 12*j - 19.
-2*(j - 1)**2*(j + 1)**2
Let u(a) be the first derivative of 19*a**3/33 - 91*a**2/22 - 10*a - 2034. Factor u(o).
(o + 1)*(19*o - 110)/11
Let -105/2*a - 202 - 1/2*a**2 = 0. Calculate a.
-101, -4
Suppose 72*n - 169 = -110*n + 6 + 553. Suppose 0 - 1/2*d**n + 3/2*d**3 + 8*d**2 + 6*d = 0. Calculate d.
-2, -1, 0, 6
Let l(q) be the second derivative of q**7/84 + 7*q**6/60 + 17*q**5/40 + 17*q**4/24 + q**3/2 + 2496*q. Factor l(w).
w*(w + 1)**2*(w + 2)*(w + 3)/2
Let b(s) be the third derivative of -s**7/252 + 5*s**6/16 - 11*s**5/12 - 115*s**4/12 - 37*s**2 - 2. Let r(t) be the second derivative of b(t). Factor r(m).
-5*(m - 22)*(2*m - 1)
Let r(v) be the first derivative of 10*v**2 - 23 - 11/3*v**3 - 12*v + 1/2*v**4. Factor r(n).
(n - 2)**2*(2*n - 3)
Suppose 2*l + 8 = 0, -54*l + 58*l - 368 = 3*z. Let g = z - -133. Factor -1/2*o - o**2 + o**4 + 1/2*o**g + 0*o**3 + 0.
o*(o - 1)*(o + 1)**3/2
Suppose -49*a + 159 = 144 - 230. Let h(x) be the second derivative of 0*x**2 - 1/20*x**a + 0 + x + 1/60*x**6 + 0*x**3 + 0*x**4. Factor h(k).
k**3*(k - 2)/2
Solve 4 + 2584/3*q - 431/3*q**2 = 0 for q.
-2/431, 6
Let v(c) be the second derivative of c**5/80 + 281*c**4/24 - 1127*c**3/24 + 141*c**2/2 + 2714*c. Factor v(h).
(h - 1)**2*(h + 564)/4
Let a(j) be the third derivative of j**5/60 - 127*j**4/6 + 32258*j**3/3 + 1283*j**2. Solve a(r) = 0.
254
Factor -3/4*r**2 - 1131/2 + 1137/4*r.
-3*(r - 377)*(r - 2)/4
Let m(q) = 15*q + 10. Let l be m(-3). Let j be (14/49)/((-1)/l). Factor 0*v - 5*v + 5*v**3 - 24 + j*v**2 + 14.
5*(v - 1)*(v + 1)*(v + 2)
Let d(i) be the first derivative of -i**4/16 - 205*i**3/6 - 42833*i**2/8 - 41209*i - 2708. Suppose d(y) = 0. What is y?
-203, -4
Let 