r c(l).
-l**3*(l + 1)*(l + 4)/6
Suppose -4*h + 3*h + 20 = -3*f, 0 = 4*h + 4*f - 32. Factor -h + 0*v**3 - 25 + 60*v + 2*v**3 + v**3 - 27*v**2.
3*(v - 6)*(v - 2)*(v - 1)
Let w(y) be the first derivative of -4*y**4/11 + 698*y**3/33 + 12*y**2 - 7774. Factor w(t).
-2*t*(t - 44)*(8*t + 3)/11
Determine v so that 24*v + 52/5*v**2 + 0 + 4/5*v**3 = 0.
-10, -3, 0
Let j be (-668742)/14730 - (0 + -46). Factor -24/5*y**3 - 48/5*y**2 + 6/5*y**4 + 96/5 + j*y**5 + 48/5*y.
3*(y - 2)**2*(y + 2)**3/5
Let l(n) = -2*n - 11. Let y be l(3). Let d(f) = -2*f**2 - 33*f + 20. Let t be d(y). Factor -2/9*v**t + 0 + 0*v**2 + 4/9*v**4 - 2/9*v**5 + 0*v.
-2*v**3*(v - 1)**2/9
Let x = 62876 - 188626/3. Find g such that -1/3*g**3 + x*g**2 - 8/3 + 4/3*g = 0.
-2, 2
Factor -1/5*w**3 - 5*w**2 + 588/5 - 112/5*w.
-(w - 3)*(w + 14)**2/5
Let r be 1/((-1)/10) - ((-50)/(-40))/(7/(-266)). Determine a so that 5 - r*a - 20*a**2 = 0.
-2, 1/8
Let m(r) be the second derivative of r**4/4 + 21*r**3/2 - 810*r**2 - 9100*r. Let m(x) = 0. Calculate x.
-36, 15
Factor -12*p**3 + 2*p**4 - 8*p**2 + 9*p**4 + 64 - 13*p**4 + 48*p + 0*p**4.
-2*(p - 2)*(p + 2)**2*(p + 4)
Let f(r) be the first derivative of r**4/16 - 409*r**3/12 + 42427*r**2/8 - 123627*r/4 + 1183. Factor f(i).
(i - 203)**2*(i - 3)/4
Let c(x) = x**2 - 25. Let v(i) = 18*i**2 + 44*i - 446. Let r(l) = 22*c(l) - v(l). Factor r(p).
4*(p - 13)*(p + 2)
Let k = 29920 + -29915. Factor -2*i**2 + 3/2*i**3 + 2*i**4 + 0 - 2*i + 1/2*i**k.
i*(i - 1)*(i + 1)*(i + 2)**2/2
Let f(a) be the third derivative of -a**5/210 - 1081*a**4/21 - 4674244*a**3/21 - 33*a**2 - 3*a + 9. Factor f(c).
-2*(c + 2162)**2/7
Let z(u) be the second derivative of -u**8/672 + u**7/84 - u**6/60 + 24*u**2 - 8*u + 3. Let d(l) be the first derivative of z(l). Factor d(m).
-m**3*(m - 4)*(m - 1)/2
Let f be (((-45)/6)/3 - (-245)/98)/(-2). Let h(t) be the first derivative of -3/7*t**4 - 3/7*t**2 + 5/7*t**3 - 9 + f*t + 3/35*t**5. Factor h(k).
3*k*(k - 2)*(k - 1)**2/7
Let t(m) be the third derivative of 3*m**6/20 - 79*m**5/10 + 313*m**4/48 - 13*m**3/6 + 1316*m**2. Factor t(r).
(r - 26)*(6*r - 1)**2/2
Suppose 27*l - 17*l = 20. Suppose 75*j**l + 1215 + 35*j + 20*j**4 - 1210 + 25*j**3 + 40*j**3 = 0. What is j?
-1, -1/4
Let z(d) be the third derivative of 0*d + 35/3*d**3 - 7/12*d**5 - 1 - 43*d**2 + 235/24*d**4. Factor z(j).
-5*(j - 7)*(7*j + 2)
Factor 250*b - 1/5*b**2 + 0.
-b*(b - 1250)/5
Suppose -6*q - 387 + 417 = 0. Let z(c) = c**2 - 5*c + 2. Let o be z(q). Factor -6/17 + 4/17*t + 2/17*t**o.
2*(t - 1)*(t + 3)/17
Let l = -2/363 + 703/61710. Let b(z) be the second derivative of 1/51*z**4 + 0*z**2 + l*z**5 + 1/51*z**3 + 18*z + 0. Let b(p) = 0. Calculate p.
-1, 0
Factor -36/5*h**2 + 27/5*h + 3/5*h**3 + 66/5.
3*(h - 11)*(h - 2)*(h + 1)/5
Let a be 4 - (0 + 7) - (-3 + -2). Factor -1292 + 353*j - 77*j + 0*j**2 + 3312 + 2*j**a + 7502.
2*(j + 69)**2
Let -o**3 - 105033*o - 139 - 885 + 63*o**2 + 104073*o = 0. What is o?
-1, 32
Factor 215/3*w + 0 + 1/3*w**2.
w*(w + 215)/3
Factor 43*y**2 - 11*y**2 + 31*y**3 - 149*y + 44*y + 396 - 29*y**3 - 141*y.
2*(y - 3)**2*(y + 22)
Let q(w) be the third derivative of 1/6*w**3 - 1/180*w**5 + 1/36*w**4 + 0*w + 2*w**2 - 135. Factor q(x).
-(x - 3)*(x + 1)/3
Let g(j) be the first derivative of -j**6/6 - 7*j**5/5 - 7*j**4/2 - 8*j**3/3 - 2536. Factor g(q).
-q**2*(q + 1)*(q + 2)*(q + 4)
Let r be (27 + -26)/((-9)/(-6)). Let n(l) be the third derivative of 2*l**2 + 0*l - 32/3*l**3 - 1/60*l**5 + 0 + r*l**4. Suppose n(a) = 0. What is a?
8
Let t(m) be the first derivative of 2*m**4/5 + 274*m**3/15 + 246*m**2/5 - 774*m/5 + 6052. Determine k, given that t(k) = 0.
-129/4, -3, 1
Let f(z) be the second derivative of -7*z**5/60 + 5*z**4/24 + z**3/3 - 19*z**2 + 26*z. Let h(s) be the first derivative of f(s). Factor h(o).
-(o - 1)*(7*o + 2)
Factor 4/3*p**3 - 128 + 8*p**2 - 64/3*p.
4*(p - 4)*(p + 4)*(p + 6)/3
Suppose -477 = -224*w + 192 - 221. Find r such that 0 - 3/4*r + 3/8*r**3 + 3/8*r**w = 0.
-2, 0, 1
Let p be ((-1236)/(-515))/(240/225). Solve 0 + p*a**2 - 3/4*a**3 + 3*a = 0 for a.
-1, 0, 4
Let n(s) be the second derivative of -s**7/54 - 748*s**6/135 + 29*s**5/12 + 374*s**4/27 - 214*s**3/27 + 1521*s - 1. Let n(y) = 0. What is y?
-214, -1, 0, 2/7, 1
Let x = 56652 + -169940/3. Factor -32/5 + 2/15*q**3 + x*q - 22/15*q**2.
2*(q - 4)**2*(q - 3)/15
Determine k, given that -4*k**3 + 48552 - 232262 - 518396*k - 2876*k**2 - 292701 - 39113 = 0.
-359, -1
Let y(u) be the second derivative of 5*u**4/72 + 95*u**3/9 + 680*u**2/3 - 800*u. Factor y(x).
5*(x + 8)*(x + 68)/6
Let y be 3*(4/(-32) - 1482/(-1872)). What is f in 2/13*f**4 - 28/13*f**3 + 10/13 - 38/13*f + 4*f**y + 2/13*f**5 = 0?
-5, 1
Let u(j) be the third derivative of j**7/630 + j**6/60 - 11*j**4/36 + 5*j**3/6 - 503*j**2 + 1. Determine g, given that u(g) = 0.
-5, -3, 1
Solve -1374*w - 10*w**2 - 450*w**3 - 3*w**4 + 222 + 1378*w**2 + 237 = 0 for w.
-153, 1
Let c(i) be the third derivative of i**7/490 - 41*i**6/840 + 7*i**5/20 - 19*i**4/168 - 5*i**3 + 5566*i**2. Solve c(x) = 0.
-1, 5/3, 6, 7
Let j(n) be the first derivative of 0*n + 2/3*n**2 - 1/9*n**3 + 94. Factor j(h).
-h*(h - 4)/3
Let l be (-31830)/4244*5/(150/(-8)). Find h, given that 4/7*h**3 - 648/7*h**l - 629856/7 + 34992/7*h = 0.
54
Suppose -4*g = -6*x + x + 182, 2*x - g - 74 = 0. Find j, given that -147*j**4 - 394*j**3 + 72 + 444*j - x*j**3 - 387*j**3 + 450*j**2 = 0.
-6, -2/7, 1
Let v(i) = -i + 18. Let r be 264/16 - (-2 - (-5)/2). Let c be v(r). Find d such that -5*d**2 - 15*d**3 - 5*d**c + 4*d**5 + d**5 = 0.
-1, 0, 2
Let j(t) be the first derivative of t**4/10 + 16*t**3/3 + 517*t**2/5 + 4356*t/5 - 943. Let j(k) = 0. Calculate k.
-18, -11
Let p = -71720/371 - -10594/53. Solve -2/7*t**3 + 2/7*t - p*t**2 + 46/7 = 0 for t.
-23, -1, 1
Determine d, given that 0 + 121/6*d**3 + 3750*d + 550*d**2 = 0.
-150/11, 0
Let a(o) be the first derivative of -4*o**3/9 - 368*o**2 + 2212*o/3 + 3814. Factor a(f).
-4*(f - 1)*(f + 553)/3
Let r(w) be the second derivative of 10*w - 2 + 1/78*w**4 - 5/13*w**3 + 14/13*w**2. Factor r(m).
2*(m - 14)*(m - 1)/13
Solve 6019995503 + 3485*s**4 + 911760*s**3 + 211*s**5 + 595165067*s - 417*s**5 + 106268760*s**2 + 211*s**5 - 1436814623 + 4093376293*s = 0.
-174, -1
Suppose 72*l + 13368963*l**3 + 25102*l**2 + 75*l + 230*l**2 - 135*l = 0. Calculate l.
-2/2111, 0
Suppose -575*k + 2319 = 198*k. Let -2/5*j**2 + 0*j - 2/15*j**4 + 0 - 8/15*j**k = 0. Calculate j.
-3, -1, 0
Let y(x) be the second derivative of -x**4/12 + 17*x**3/2 + 53*x**2 + 6*x + 21. Factor y(r).
-(r - 53)*(r + 2)
Suppose 0 = -7*k - 21*k - 66*k + 282. Factor 2/5 - 2/5*x**5 + 4/5*x**2 + 6/5*x - 6/5*x**4 - 4/5*x**k.
-2*(x - 1)*(x + 1)**4/5
Suppose 0*p + 5*p - 50 = 0. Let n(i) = -i**2 + 11*i - 10. Let o be n(p). Factor 8*j**5 + o*j**3 + 3*j**5 + 12*j**3 + 48*j**4 + 10*j**5.
3*j**3*(j + 2)*(7*j + 2)
Let -13*x**2 + 9*x + 0 + 1/4*x**5 + 9/2*x**4 - 3/4*x**3 = 0. What is x?
-18, -2, 0, 1
Let j(w) be the third derivative of 625/12*w**3 + 1/20*w**7 - 1/672*w**8 - 17/24*w**6 + 107*w**2 + 0*w - 375/16*w**4 + 0 + 65/12*w**5. Solve j(t) = 0.
1, 5
Let b(n) = n**3 - 8*n**2 - 3*n + 26. Let w be b(8). Let i(s) = 16*s**2 + 5*s - 4. Let a be i(-5). Factor -4*q**w - 371 + a.
-4*q**2
Suppose -49 = 13*q - 36. Let o be (-3 - q) + 2 + (-1)/(-2). Suppose -1/2*k**3 + k**2 + o*k**5 + 0 - k**4 + 0*k = 0. What is k?
-1, 0, 1, 2
Let s = 159532 - 159532. Factor -2/3*h + s - 1/6*h**4 + 1/2*h**3 + 0*h**2.
-h*(h - 2)**2*(h + 1)/6
Find p, given that -16*p**2 + 224*p - 2436*p**5 - 160 + 1184*p**5 - 64*p**3 + 1254*p**5 + 14*p**4 = 0.
-10, -2, 1, 2
Suppose -52/5*m + 108*m**5 + 1044/5*m**4 + 4/5 - 152/5*m**2 + 408/5*m**3 = 0. What is m?
-1, -1/3, 1/15, 1/3
Let r(n) be the third derivative of -n**5/150 + n**4/10 + 48*n**3 - 7895*n**2. Factor r(t).
-2*(t - 30)*(t + 24)/5
Let x(m) = -m**2 + 1. Let g(r) = -8*r**2 - 153*r - 1315. Let l(o) = -g(o) + 5*x(o). Solve l(k) = 0 for k.
-40, -11
Factor 59*g**3 - 474*g**3 + 4223*g - 1743*g + 31 - 425*g**2 + 29.
-5*(g - 2)*(g + 3)*(83*g + 2)
Let x(k) be the third derivative of 11/6*k**3 + 0 + 8*k**2 - k + 1/16*k**5 + 1/480*k**6 + 1/2*k**4. Factor x(m).
(m + 2)**2*(m + 11)/4
Factor 750/7 - 2/7*y**2 - 20*y.
-2*(y - 5)*(y + 75)/7
Factor 2/3*c - 20/9 + 2/9*c**2.
2*(c - 2)*(c + 5)/9
Let d(p) be the second derivative of p**6/60 -