-3*(r - 2)*(r + 7)/5
Factor 5*b**3 - 137 - 11*b**3 - 539 + 5*b**2 + 17*b**2 + 5*b**3 - 65*b.
-(b - 13)**2*(b + 4)
Let w be (17 - 6) + (-4)/(-1)*-1. Let g(n) = -2*n**3 + 5*n**2 - 39*n + 1. Let z(r) = -r**3 + 3*r**2 - 18*r + 1. Let k(j) = w*z(j) - 3*g(j). Factor k(s).
-(s - 4)*(s - 1)**2
Let d = 2103 + -52. Let p = d - 10183/5. Factor -16/5*z + 0 - 12*z**3 + 14/5*z**4 + p*z**2.
2*z*(z - 2)**2*(7*z - 2)/5
Let f(a) be the third derivative of a**7/105 + 31*a**6/180 + 61*a**5/90 + 41*a**4/36 + 8*a**3/9 + 1393*a**2. Let f(v) = 0. Calculate v.
-8, -1, -1/3
Let w be 4*14*(-1648)/16. Let o be (0 - 2/(-16)) + (-4223)/w. Determine d so that -6/7*d**3 + 12/7*d**2 + o*d - 3/7 - 9/7*d**4 = 0.
-1, 1/3, 1
Let b(p) = -p**3 + 10*p**2 - 7*p - 16. Let s be b(9). Suppose 0*n = -2*n - g + 19, s*g - 2 = 0. Let -7 - q**2 + n*q - 2 - 15*q = 0. Calculate q.
-3
Let w(r) = -r**3 + 27*r**2 + r + 1. Let o(d) = 9*d**3 + 377*d**2 + 503*d - 5. Let q(c) = -o(c) - 5*w(c). Solve q(z) = 0 for z.
-127, -1, 0
Let u(q) be the second derivative of 2*q**6/75 - 22*q**5/25 + 59*q**4/15 - 76*q**3/15 - 940*q. Factor u(x).
4*x*(x - 19)*(x - 2)*(x - 1)/5
Let m be (4/(-15))/(-1) + 388937190/129975. Factor -268/3*k - m - 2/3*k**2.
-2*(k + 67)**2/3
Let d(w) = -w**2 - 13*w + 26. Let g be d(2). Let k be 1 + (1/g)/(68/48). Find p, given that -8/17 + k*p**2 + 10/17*p**3 - 16/17*p = 0.
-2, -2/5, 1
Let f(t) be the third derivative of t**5/60 - 23*t**4/24 - 754*t**3/3 - t**2 + t - 324. Determine b so that f(b) = 0.
-29, 52
Let d be 0 - ((-6)/(-3) - 4). Let l be 10*(15 + -8)/14. Factor 2 + 4*n + l*n + n - n**d - 27.
-(n - 5)**2
Let y(z) = 116*z**4 - 36*z**3 + 127*z**2 - 140*z + 48. Let n(q) = 92*q**4 - 36*q**3 + 128*q**2 - 140*q + 48. Let h(d) = -5*n(d) + 4*y(d). Solve h(l) = 0.
-12, 1
Factor -8/3 + 1384/3*i - 230*i**2.
-2*(i - 2)*(345*i - 2)/3
Let z be 0 + (21480/(-6490) - 2). Let c = 266/59 - z. Determine y, given that 24*y**2 - 18/11*y**3 - 72/11*y**4 + c - 306/11*y + 24/11*y**5 = 0.
-2, 1, 3/2
Factor 1905 + 1339*m**2 + 11163 - 54*m**4 - 16*m**5 + 2*m**4 - 200*m**3 + 749*m**2 + 10692*m + 20*m**5.
4*(m - 11)**2*(m + 3)**3
Let t(v) be the first derivative of 3*v**4/2 - 9*v**3 - 15*v**2/2 + 1838. Factor t(m).
3*m*(m - 5)*(2*m + 1)
Suppose 0 = -b + 3*w + 11, w = -9*b + 7*b + 1. Factor 52*a + 17 + 16*a**3 + 293*a + 53 - 36*a**3 + 255*a**b.
-5*(a - 14)*(a + 1)*(4*a + 1)
Factor -15399 - 125662 - 28777 + 1800*x + 24*x**2 - 28*x**2 - 32662.
-4*(x - 225)**2
Let i(q) be the third derivative of -q**7/1050 - q**6/120 - q**5/50 + q**4/30 - 10*q**3 + 2*q**2 - 4. Let g(n) be the first derivative of i(n). Factor g(a).
-(a + 2)**2*(4*a - 1)/5
Let f(c) = 2*c**4 - 2*c**3 + 14*c**2 + 2*c - 1. Let q(t) = -16*t**2 + t**2 + 0*t**2 - 3*t**4 - 3*t + 3*t**3. Let s(b) = 6*f(b) + 5*q(b). Factor s(i).
-3*(i - 2)*(i - 1)*(i + 1)**2
Factor -3/2*j**3 - 115/3*j - 68/3 + 167/6*j**2.
-(j - 17)*(j - 2)*(9*j + 4)/6
Let l = 173 - 68. Suppose 4*g - 36 = -h, -5*g + 0*g - l = -5*h. Determine f, given that 5*f + h*f**2 - f + 0*f**3 - 4*f**3 - 24 = 0.
-1, 1, 6
Let i = -31345 - -31349. Determine u so that i - 130/9*u**2 + 10*u - 10/9*u**3 + 14/9*u**4 = 0.
-3, -2/7, 1, 3
Factor 10*c + 48 + 43*c**2 + 8 - 44*c**2.
-(c - 14)*(c + 4)
Let i(l) = -l**2 - 15*l + 2. Let t(f) = f**2 - 61*f + 154. Let w(h) = -2*i(h) + 2*t(h). Determine p so that w(p) = 0.
4, 19
Let j = 3/263 - -2346/1841. Let s be (-4)/6*-2 - (-19)/(-399). Factor 0*y - j*y**3 - s*y**4 - 3/7*y**2 + 0 - 3/7*y**5.
-3*y**2*(y + 1)**3/7
Suppose -23 = -5*j - 13. Suppose 2*t = -j*t + 2*t. Factor t + 1 + 2*i - 4*i**2 - i**2 + 6*i**2.
(i + 1)**2
Let v = -15 + 18. Let p(f) be the first derivative of 5*f + 6*f**3 - 2 - 3*f**2 + 4*f**v - 6*f**4 + f**5 - 7*f**2 + f**4. Factor p(t).
5*(t - 1)**4
Let q(i) be the third derivative of i + 133/32*i**4 - 41/240*i**5 + 1/480*i**6 + 0 + 147/8*i**3 + 25*i**2. Factor q(z).
(z - 21)**2*(z + 1)/4
Let m(s) = 2*s**2 + s + 4. Let t be (3*-3)/((-15)/10*-1). Let o be m(t). Determine i, given that -60*i**2 - o*i - 7 - 10*i**3 - 5 + 5*i**4 - 13 = 0.
-1, 5
Let y(l) be the first derivative of -l**6/2880 + l**5/240 - l**4/64 - l**3 + 17*l - 66. Let v(k) be the third derivative of y(k). Factor v(d).
-(d - 3)*(d - 1)/8
Let s be 10 + (2 + (-50)/6)/((-9)/(675/(-50))). Let 1/2 - s*w - w**2 + w**3 + 1/2*w**4 - 1/2*w**5 = 0. Calculate w.
-1, 1
Let i = -574 + 5174/9. Let o = i - -68/45. What is a in o*a + 1/5*a**2 + 36/5 = 0?
-6
Suppose 4*k = 8*o - 3*o - 14, 0 = -o - 5*k - 3. Suppose -135*s**o + 9*s**3 - 347 - 498 - 154*s - 4*s**3 + 488*s + 641*s = 0. What is s?
1, 13
Let z(p) = 17*p**2 + 5*p + 8. Let x(m) = 24*m**2 + 6*m + 12. Let h(c) = -5*x(c) + 7*z(c). Solve h(i) = 0 for i.
1, 4
Let d be 3 - -6 - 4823/689. Factor -4/7*c**d - 2/7*c + 2/7*c**3 + 4/7.
2*(c - 2)*(c - 1)*(c + 1)/7
Let v(w) = -11*w**3 - 51*w**2 + 380*w + 414. Let j(b) = 35*b**3 + 155*b**2 - 1140*b - 1240. Let a(m) = -3*j(m) - 10*v(m). Suppose a(o) = 0. Calculate o.
-14, -1, 6
Factor -f**4 + 119*f**2 - 44*f**2 - 26*f**2 + 3*f**3 + 16*f**3 - 27*f**2 - 40*f.
-f*(f - 20)*(f - 1)*(f + 2)
Let v = 48 - 46. Suppose -v*k = -2*a - 20, -5*a = k - 4*a. Determine l so that -3*l**2 - k*l - 3 - 3*l**3 + 1 + 4*l**3 + l**4 = 0.
-1, 2
Suppose 397*q - 375*q = 286. Suppose -2*g + 0*g + 8 = 0. Suppose 7*c**3 + 14*c**2 - 5*c**2 - 4*c - q*c**3 + c**g = 0. What is c?
0, 1, 4
Let u = -55 + 59. Factor -7*p + 3*p**3 + u*p**2 - 4*p**2 - 12*p**2 - 5*p + 48.
3*(p - 4)*(p - 2)*(p + 2)
Let h(c) be the first derivative of 52/3*c**3 - c**4 + 50*c**2 + 48*c - 4/5*c**5 + 84. Suppose h(l) = 0. Calculate l.
-3, -1, 4
Find v, given that -3*v**3 - 612*v + 499*v**2 + 447*v**2 - 868*v**2 + 1512 = 0.
6, 14
Let g(q) = 3*q + 81. Let h be g(-26). Let f(r) be the first derivative of 0*r + 1/5*r**5 + 1/12*r**6 - 1/3*r**h - 23 + 0*r**4 - 1/4*r**2. Solve f(i) = 0.
-1, 0, 1
Let l = -9443 + 9447. Let s(n) be the first derivative of 8/21*n**3 - 21 + 0*n**l + 0*n**2 - 4/35*n**5 - 4/7*n. Factor s(f).
-4*(f - 1)**2*(f + 1)**2/7
Let n be ((-4)/(-4))/(-2*1/118). Let k = n - -360. Let k - 5*w - 5*w**3 - 10*w**2 - 301 = 0. What is w?
-1, 0
Let j(b) = -b**3 - 55*b**2 - 690*b + 352. Let c be j(-35). Suppose 5/3*u**c + 4*u + 0 = 0. What is u?
-12/5, 0
Let y = 169488 + -1186414/7. Let y*x**5 + 0 + 0*x + 24/7*x**3 + 20/7*x**4 - 144/7*x**2 = 0. What is x?
-6, 0, 2
Factor 51/5*l + 71/5*l**2 + 21/5*l**3 + 1/5*l**4 + 0.
l*(l + 1)*(l + 3)*(l + 17)/5
Let t be (2 + -2)/(30/5 - 4). Suppose -4*w + h - 7 = -68, 5*w + h - 74 = t. Factor -29*l**4 + 24*l**4 - 11*l - 9*l + w*l**3.
-5*l*(l - 2)**2*(l + 1)
Suppose -22*q**3 - 44 + 194/3*q + 2*q**2 - 2/3*q**4 = 0. Calculate q.
-33, -2, 1
Factor -360000*s - 1589*s**2 + 122*s**2 + 3 - 3 - 4*s**3 - 933*s**2.
-4*s*(s + 300)**2
Let p be (22 + 2400/(-125))/(4 - (-1)/(-2)). Let 8*m**3 - 36/5 + 8*m**2 - 4/5*m**4 - p*m**5 - 36/5*m = 0. Calculate m.
-3, -1, 1, 3
Suppose -585 + 553 = -2*b. Factor 105*t - 112*t**2 - 2*t**3 - 9*t**3 + 230 - 8*t**2 + b*t**3.
5*(t - 23)*(t - 2)*(t + 1)
Let x be 2 + (1 - (-6)/(-18)*51). Let s be 16/x*(-43)/86. Factor -6/7*k**2 - 10/7*k - s.
-2*(k + 1)*(3*k + 2)/7
Let g(q) be the first derivative of 706*q**3/9 + 344*q**2/3 - 6*q - 4906. Determine w, given that g(w) = 0.
-1, 9/353
Let c be (((-5)/5)/((-2)/4))/1. Suppose m - 4*m = 3*p - 27, -5*m + 17 = -c*p. Suppose 0*x - 3/4*x**5 + 9/8*x**3 + 9/8*x**p - 3/4*x**2 + 0 = 0. Calculate x.
-1, 0, 1/2, 2
Suppose 0 = -2*g + 5*g - 12. Let v(l) = -34*l + 955. Let b be v(28). Find r such that r**4 - 2*r**b - 3*r**4 + 3*r**3 + g*r**2 - 3*r**3 = 0.
-2, 0, 1
Let h(f) = -f**3 + f + 4. Let g be h(0). Find b, given that g*b**2 - 6*b**2 - 80*b + 75 + 0*b**2 + 7*b**2 = 0.
1, 15
Factor 1/2*q**2 + 132 + 265/2*q.
(q + 1)*(q + 264)/2
Let q(u) be the third derivative of -10*u**2 + 21/8*u**4 + 49/20*u**5 + 0*u + 9/8*u**3 + 0. Factor q(o).
3*(14*o + 3)**2/4
Let g be -1*(-6 - -7)*-2. Factor 671*l - 100*l**4 - 8*l**2 - 20*l**3 + 72*l**g - 687*l.
-4*l*(l + 1)*(5*l - 2)**2
Find z, given that -51 - 140 + 59 + 15*z - 28*z**2 + 32*z**2 + 17*z = 0.
-11, 3
Let r = -33 + 38. Suppose -8*y + r*y = -6. Factor 8*i + 1 - 26 + 10 + 8 - i**y.
-(i - 7)*(i - 1)
Let p(j) be the second derivative of -249001*j**4/4 - 998*j**3/3 - 2*j**2/3 - 2173*j. Let p(x) = 0. What is x?
-2/1497
Let w = -29 - -35. Suppose -5*i - 3*o - 9 =