ppose 5*t = -3*j - 21, -90*j - 90*j + 184*j = -2*t. Factor 2/11 + 576/11*m**j - 4*m + 192/11*m**2.
2*(2*m + 1)*(12*m - 1)**2/11
Let l(c) = -c**2 + 64*c - 397. Let s be l(7). Let i(u) be the third derivative of 1/24*u**3 + 0*u + 1/80*u**5 + 0 - 1/480*u**6 - 1/32*u**4 - u**s. Factor i(q).
-(q - 1)**3/4
Let b(r) = 42*r**2 - 50*r - 17. Let z(w) be the second derivative of -69*w**4/4 + 251*w**3/6 + 43*w**2 - 92*w. Let i(k) = 11*b(k) + 2*z(k). Factor i(v).
3*(4*v - 5)*(4*v + 1)
Solve -4/7*j**3 - 128/7*j - 80/7*j**2 + 2/7*j**4 + 0 = 0 for j.
-4, -2, 0, 8
Let i(k) be the second derivative of 0*k**4 + 1/2160*k**6 - 35/6*k**3 - 7*k + 0*k**2 + 0 + 0*k**5. Let l(s) be the second derivative of i(s). Factor l(f).
f**2/6
Let w = -247 + 241. Let i be ((-736)/28)/(-4) + w. Solve -5/7*p**3 - i*p - 1/7*p**4 + 0 - 8/7*p**2 = 0.
-2, -1, 0
Let k(i) be the third derivative of -i**8/90720 + i**7/1080 - i**6/162 - i**5/4 + i**3/2 + 68*i**2. Let v(z) be the third derivative of k(z). Factor v(b).
-2*(b - 20)*(b - 1)/9
Suppose -12*g + 8*g - 3561 = -3*w, -3*w + 2670 = -3*g. Let f = 893 + g. Solve 8/3*s**4 + 0 - s**3 + 0*s - 16/9*s**5 + 1/9*s**f = 0 for s.
0, 1/4, 1
Solve -12/7*r**4 + 227/7*r**3 + 0*r + 19/7*r**2 + 0 = 0.
-1/12, 0, 19
Let p = -44 - -167. Let d = -107 + p. Factor d*r - 6*r + r**2 + 5 + 4.
(r + 1)*(r + 9)
Let h(v) = -7*v**2 - 265 + 41*v + 2459 - 6*v**2 + 2*v**2 + 135*v. Let j(z) = -8*z**2 + 118*z + 1463. Let y(r) = -5*h(r) + 7*j(r). What is s in y(s) = 0?
-27
Let v be (-3)/((-72)/(-5))*(-5428)/6785*8. Solve -v*j**2 + 4/3 + 1/6*j**3 - 1/6*j = 0 for j.
-1, 1, 8
Suppose 0 = l + 4*c - 4, -5*l + 79 = -4*c - 13. Let b = -10 + l. Determine j, given that 2*j**3 - 2*j**3 - b*j**2 + 5*j**3 + 18 - 15*j - 2*j**3 = 0.
-2, 1, 3
Let t = -79 + -10. Let k = -87 - t. Factor 49*r + 2 + 53*r - 149*r + 4*r**k + 53*r.
2*(r + 1)*(2*r + 1)
Let v(l) be the first derivative of -l**5/110 - 31*l**4/66 - 40*l**3/33 + l**2 + 5*l - 100. Let d(n) be the second derivative of v(n). Factor d(w).
-2*(w + 20)*(3*w + 2)/11
Let z be ((-11501)/341 + 34)/(10/66). Factor -18/5*n**2 - z*n**5 + 3/5 + 3/5*n - 33/5*n**4 - 42/5*n**3.
-3*(n + 1)**4*(3*n - 1)/5
Let a(d) = -d**3 - 6*d**2 + 7*d - 1. Let i be a(-7). Let l be 2 - i - 3/6*4. Find n such that 2*n**2 + l + 4*n - 12*n - 11 = 0.
-1, 5
Let b(o) be the second derivative of o**5/5 + 56*o**4/3 + 322*o**3/3 + 212*o**2 - 2*o + 373. Factor b(l).
4*(l + 1)*(l + 2)*(l + 53)
Let r be ((-195)/12)/13*1*(-13)/65. Factor 1/8*c**2 + 1/8*c - r.
(c - 1)*(c + 2)/8
Let p(q) be the first derivative of -111 + 7/3*q**2 - 68/15*q - 2/45*q**3. Factor p(z).
-2*(z - 34)*(z - 1)/15
Let q(i) be the second derivative of 0 + 1/15*i**6 + 9/20*i**5 - 3/2*i**4 + 84*i + 3*i**2 + 1/6*i**3. Determine w, given that q(w) = 0.
-6, -1/2, 1
Let q = -3/388 + 18639/1940. Let o = -56835 + 284239/5. Factor -o + 1/5*x**3 - 12/5*x**2 + q*x.
(x - 4)**3/5
Factor 292/3*p - 42 + 14/9*p**2.
2*(p + 63)*(7*p - 3)/9
Let c(i) be the third derivative of i**5/80 + 17*i**4/16 + 26*i**3 - i**2 - 36*i + 4. Solve c(w) = 0.
-26, -8
Let k(t) = -t**3 + 2*t**2 - t - 2. Let q = -62 + 61. Let s be k(q). Suppose 10*j**2 + 2*j**4 - 5*j**2 + 5*j**s - 8*j**3 - 4*j + 0*j = 0. Calculate j.
0, 1, 2
Let m be ((-76)/(-24) + -3)*18. Let -2*g**m - 18*g - 91*g - 227*g - 54*g**2 + 392 = 0. What is g?
-14, 1
Let u(j) be the first derivative of 55/2*j**2 + 15*j - 12 - 15/4*j**4 + 25/3*j**3. What is b in u(b) = 0?
-1, -1/3, 3
Let j be (400/360)/((-50)/(-60)). Factor 4000/3*l**4 - 360*l**2 - j - 116/3*l - 2800/3*l**3.
4*(l - 1)*(10*l + 1)**3/3
Suppose 6*k - 1132 = 66*k - 1132. Factor k*c**2 + 3/4*c - 3/4*c**3 + 0.
-3*c*(c - 1)*(c + 1)/4
Let f(g) = 13*g**3 - 44*g**2 - 173*g + 44. Let l(b) = 14*b**3 - 43*b**2 - 172*b + 61. Let n(a) = 11*f(a) - 10*l(a). Find z, given that n(z) = 0.
-2, -1, 21
Suppose 21*s - 10850 = 1498. Let w = 6470/11 - s. Factor 0*r + 0 - w*r**3 + 2/11*r**2.
-2*r**2*(r - 1)/11
Let d be (-27 - -26) + -39 + 64. Determine h, given that -d - 3/2*h**2 + 12*h = 0.
4
Let i be (-47)/(-470) + (-45)/(-150). Factor 4/5 - 2/5*m**2 + i*m.
-2*(m - 2)*(m + 1)/5
Factor -4818025/6 - 14458465/6*z - 1/2*z**3 - 13171/6*z**2.
-(z + 2195)**2*(3*z + 1)/6
Suppose -18*d**3 + 828*d**4 - 4*d**2 + 828*d**4 - 11*d**5 - 1647*d**4 + 10*d**5 + 24*d = 0. What is d?
-1, 0, 2, 6
Let f(n) be the third derivative of n**5/60 + n**4/24 - n**3 + 392*n**2 + n. Let f(p) = 0. Calculate p.
-3, 2
Let g(s) be the third derivative of 1/1050*s**7 + 0*s - 1/100*s**6 + 0*s**3 + 0*s**4 + 5*s**2 + 3/100*s**5 + 0. Factor g(x).
x**2*(x - 3)**2/5
Let u(w) be the first derivative of -w**7/490 - 9*w**6/280 - 3*w**5/28 - w**4/8 + 3*w**2/2 + 5*w - 1. Let y(b) be the second derivative of u(b). Factor y(c).
-3*c*(c + 1)**2*(c + 7)/7
Let o = -3284 + 3286. Let m(l) be the first derivative of -2/21*l**6 + 0*l + 1/7*l**4 + 4/21*l**3 - 17 + 0*l**o - 4/35*l**5. Solve m(j) = 0.
-1, 0, 1
Suppose -10*p + 2 = -9*p + 2*f, 0 = 3*p + 5*f - 6. Suppose o = 2*s - 6, -5*o + p = -3*s + 11. Find w such that -4/3 + 1/3*w**s + w**2 + 0*w = 0.
-2, 1
Let s = -3583 + 5667. Let d = s - 2082. Find x, given that -3/4*x**d - 3/2*x + 0 = 0.
-2, 0
Solve -2653*o + 5*o**2 + 91*o + 0*o**2 - o**2 + 498436 - 262*o = 0.
353
Let x(o) be the first derivative of -o**3 - 147*o**2/2 - 282*o - 1678. Determine t, given that x(t) = 0.
-47, -2
Let a = 7933/2170 + -131/62. Let v = a - 33/35. Let -3/5*c - v*c**2 + 0 = 0. What is c?
-1, 0
Suppose -19*a + 256 = -321 + 501. Factor 2*p**3 + 0*p + 4/3*p**2 + 0 + 2/3*p**a.
2*p**2*(p + 1)*(p + 2)/3
Let s(y) be the second derivative of -676/7*y**2 + 99*y - 1/42*y**4 + 0 + 52/21*y**3. Determine x, given that s(x) = 0.
26
Let n(t) be the first derivative of -t**6/21 - 10*t**5/7 - 197*t**4/14 - 106*t**3/3 + 1098*t**2/7 + 2592*t/7 - 3581. Find u such that n(u) = 0.
-9, -8, -1, 2
Let f(h) = -10*h**3 + 6*h**2 + 28*h. Suppose 5*s - 3*b + 20 = 0, -2*b = -2*s - 5*b + 13. Let z(l) = l**3 - l**2 - 3*l. Let r(j) = s*f(j) - 8*z(j). Factor r(y).
2*y*(y - 1)*(y + 2)
Let f(o) = 4*o**3 - 24*o**2 + o + 8. Let z be f(6). Let h(g) = -19*g**2 + 14*g + 17. Let u(r) = -3*r**2 - 1. Let d(y) = z*u(y) - 2*h(y). Factor d(x).
-4*(x + 3)*(x + 4)
Factor 2/7*g**3 - 32/7 - 44/7*g - 10/7*g**2.
2*(g - 8)*(g + 1)*(g + 2)/7
Let d(j) = -20639*j - 123790. Let a be d(-6). What is w in -a*w + 4/3 - 136/3*w**2 = 0?
-1, 1/34
Let f(s) be the first derivative of -28/5*s**2 + 110 - 8/5*s**3 - 98/15*s. Factor f(w).
-2*(6*w + 7)**2/15
Let 17/7*v**4 + 80/7*v + 1/7*v**5 + 67/7*v**2 - 81/7*v**3 - 12 = 0. What is v?
-21, -1, 1, 2
Factor -1518*i - 4581 + 298684*i**2 - 149338*i**2 - 149343*i**2.
3*(i - 509)*(i + 3)
Let r be 8010/(-9612) - 53/(-42). Determine u so that -9/7*u - r*u**2 - 6/7 = 0.
-2, -1
Let b(o) = o**4 + 69*o**3 + 555*o**2 + 467*o. Let q(v) = 3*v**4 + 208*v**3 + 1658*v**2 + 1398*v. Let s(p) = -11*b(p) + 4*q(p). Determine l so that s(l) = 0.
-65, -7, -1, 0
Factor 32*i**2 - 21*i + 5*i**3 - 71*i**2 + 175 + 0*i**3 + 156*i - 4*i**3.
(i - 35)*(i - 5)*(i + 1)
Factor 13034/3 - 80/3*i**3 - 6272/3*i + 2/3*i**4 + 364*i**2.
2*(i - 19)*(i - 7)**3/3
Let x(a) be the first derivative of 30*a**2 - 900*a - 1/3*a**3 - 88. Factor x(k).
-(k - 30)**2
Let f(g) = -12*g**2 + 48*g - 15. Let w(m) = -17*m**2 + 72*m - 21. Let b(q) = 7*f(q) - 5*w(q). Suppose b(p) = 0. What is p?
0, 24
Solve 1/4*c**4 + 1/2*c**2 + 11/2*c**3 - 69/4*c + 45/4 - 1/4*c**5 = 0.
-3, 1, 5
Let p(l) = l**3 + 3*l**2 - 8*l - 21. Let v be p(-3). Factor -285*b**2 - 21*b - 45*b**4 - 79*b**v - 52*b**3 - 149*b**3 - 29*b.
-5*b*(b + 1)*(b + 5)*(9*b + 2)
Let h(m) be the third derivative of 0*m + m**3 - 3 - 6*m**2 - 1/20*m**5 - 1/8*m**4. Factor h(y).
-3*(y - 1)*(y + 2)
Let n(h) be the first derivative of -18/7*h**3 + 56 - 24/7*h - 3/35*h**5 - 3/4*h**4 - 30/7*h**2. Factor n(m).
-3*(m + 1)*(m + 2)**3/7
Factor 0 - 66/7*w**2 + 1/7*w**3 + 65/7*w.
w*(w - 65)*(w - 1)/7
Suppose 2*a - 61 = 3*x, -94 = -0*a - 3*a + 2*x. Let f be (((-408)/a)/17)/(3*-1). Factor -f*p**2 - 3/2*p - 5/4.
-(p + 1)*(p + 5)/4
Let w(k) be the third derivative of -k**8/1092 - 17*k**7/1365 + 3*k**6/260 - 893*k**2. Solve w(n) = 0 for n.
-9, 0, 1/2
Let q be (-12)/(-63)*329/235. Let h be ((-4)/(-14))/(120/56). Factor -2/5 + q*l + h*l**2.
2*(l - 1)*(l + 3)/15
Let t = -973 + 1062. Let i be (t/623)/(4/70). Factor i*p**2 + 8 