 + 2104)**2/2
Let p be 3/(-1) + 13688/1711. Let -224/5*x**4 + 0 + 12/5*x + 14/5*x**2 - 38*x**3 - 32/5*x**p = 0. Calculate x.
-6, -1, -1/4, 0, 1/4
Let k(g) = 2*g**2 - 2. Let l(i) = 18*i**2 - 3644*i + 1659826. Let a(x) = 8*k(x) - l(x). Factor a(u).
-2*(u - 911)**2
Suppose 0 = -156*k + 26*k + 4420. Let v(w) be the third derivative of 0 + 1/280*w**7 + 0*w**3 - k*w**2 + 1/16*w**5 - 1/40*w**6 - 1/16*w**4 + 0*w. Factor v(q).
3*q*(q - 2)*(q - 1)**2/4
Let d(k) be the third derivative of -k**7/525 - 29*k**6/150 - 19*k**5/50 - 6*k**2 + k - 27. Factor d(v).
-2*v**2*(v + 1)*(v + 57)/5
Let d(p) = -6*p**3 - 270*p**2 - 532*p - 313. Let g(i) = i**3 - i + 9. Let z(w) = -2*d(w) - 10*g(w). Solve z(y) = 0 for y.
-268, -1
Let q(t) be the first derivative of 2*t**3/21 + 5414*t**2/7 + 14655698*t/7 - 7016. Let q(s) = 0. Calculate s.
-2707
Let p(z) be the second derivative of 0 + 1/210*z**6 - 85*z + 0*z**2 - 2/21*z**3 - 1/21*z**4 + 1/140*z**5. Factor p(n).
n*(n - 2)*(n + 1)*(n + 2)/7
Let r(j) = 15*j**2 - 105*j - 445. Let i be r(10). Let y(n) be the third derivative of -5/12*n**4 - 2*n**3 + 3 - 1/30*n**i + 8*n**2 + 0*n. Factor y(b).
-2*(b + 2)*(b + 3)
Let s(c) be the first derivative of c**3/3 - 17*c**2/2 + 66*c + 1306. Factor s(n).
(n - 11)*(n - 6)
Let x(u) be the second derivative of u**5/50 + 79*u**4/30 + 287*u**3/3 - 5043*u**2/5 + 2389*u. Let x(g) = 0. What is g?
-41, 3
Let k(y) be the first derivative of 5*y**4/4 + 25*y**3 - 55*y**2 - 480*y + 338. Factor k(f).
5*(f - 3)*(f + 2)*(f + 16)
Suppose 27 = -2*x + 35. Solve -1723*p - 3*p**3 + 9*p**2 + 1717*p + x*p**2 - 4*p**2 = 0 for p.
0, 1, 2
Determine a, given that -80802/7*a**2 - 8/7 + 1608/7*a = 0.
2/201
Let g(l) be the first derivative of 4*l**5/5 + 4*l**4 - 64*l**3/3 - 128*l**2 + 761. Factor g(p).
4*p*(p - 4)*(p + 4)**2
Let q(h) be the second derivative of 5/3*h**3 - 12/7*h**2 + h + 64 + 11/70*h**5 - 17/21*h**4. Factor q(s).
2*(s - 1)**2*(11*s - 12)/7
Factor 2/3*g**3 - 232 - 692/3*g**2 - 1390/3*g.
2*(g - 348)*(g + 1)**2/3
Let b = 104134 + -104132. Factor -7/3*u + b - u**2.
-(u + 3)*(3*u - 2)/3
Let z(y) be the third derivative of 0 + 2*y**2 - 4/3*y**3 + 4*y + 1/2*y**4 + 0*y**5 - 1/30*y**6. Factor z(o).
-4*(o - 1)**2*(o + 2)
Let x = -511 + 514. Let z be (-162)/30 + x + 3. Suppose z*v**4 - 11/5*v**3 - 1/5*v + 11/5*v**2 - 2/5 = 0. Calculate v.
-1/3, 1, 2
Solve 10/9*c**4 + 0 + 40/3*c - 296/9*c**2 - 14/9*c**3 = 0 for c.
-5, 0, 2/5, 6
Let z = -63413/160 + 1189/3. Let j(c) be the third derivative of 0*c + 0 + 0*c**3 - z*c**6 + 2*c**2 + 0*c**4 - 1/840*c**7 + 1/120*c**5. Solve j(d) = 0.
-2, 0, 1
Factor 6859/3 + 6*i**3 - 2166*i + 1/3*i**4 - 380/3*i**2.
(i - 19)*(i - 1)*(i + 19)**2/3
Determine n, given that -16/3*n**4 + 5*n + 16/3*n**2 + 0 - 14/3*n**3 - 1/3*n**5 = 0.
-15, -1, 0, 1
Let q = -815 + 822. Let u(g) be the third derivative of 0 + 0*g**3 + 1/15*g**6 + 2/105*g**q + 0*g**4 + 0*g - 4*g**2 + 1/15*g**5. Let u(z) = 0. Calculate z.
-1, 0
Let n = 51 + -46. Solve -4 + 8*h**5 - 2*h**n - 21*h + 22*h**4 - 15*h**2 + 15*h**3 - h**4 - 2 = 0 for h.
-2, -1, -1/2, 1
Suppose 8*s - 11*s - 15 = 0. Let x be -1 + 6/s*(-40)/16. Find j such that 0*j - 3/7*j**x + 3/7 = 0.
-1, 1
Let g(r) be the second derivative of -r**4/30 + 26*r**3/5 - 112*r**2 - 406*r - 1. Factor g(v).
-2*(v - 70)*(v - 8)/5
Let a(m) be the first derivative of m**6/60 - 7*m**5/15 + 49*m**4/12 - 17*m**2/2 - 2*m + 67. Let r(v) be the second derivative of a(v). Factor r(i).
2*i*(i - 7)**2
Let z be (-24)/(-14) + (-4)/(-14). Let q(f) = -f + 2. Let i be q(z). Let -3*m - 12*m**2 + i*m**3 - 9*m - 3*m**3 = 0. Calculate m.
-2, 0
Let b be (-60)/(-24)*18/(-10)*2. Let c be 144/756*2/(-4)*b. Factor 6/7*d**3 - 22/7*d**2 + 10/7*d + c.
2*(d - 3)*(d - 1)*(3*d + 1)/7
Let p(s) be the first derivative of 2*s**5/55 + 41*s**4/22 + 208*s**3/11 + 788*s**2/11 + 1280*s/11 + 7084. Let p(a) = 0. What is a?
-32, -5, -2
Let m(z) = -16*z + 24. Let d be m(-6). Let r be 1/(-6) - (0 - 596/d). Factor 4/5*b**3 - r*b**2 + 2/5*b**4 + 28/5*b - 2.
2*(b - 1)**3*(b + 5)/5
Suppose -286*z - 128*z + 429 = -271*z. Solve 30/19*d**z + 250/19*d + 0 - 150/19*d**2 - 2/19*d**4 = 0 for d.
0, 5
Let 86/7*t**3 - 87/7*t**2 - 171/7*t + 2/7 = 0. What is t?
-1, 1/86, 2
Let a(o) be the third derivative of -5*o**5 - 1835*o**4/24 + 125*o**3/3 - 2019*o**2. Factor a(b).
-5*(4*b + 25)*(15*b - 2)
Let c be ((-286)/42 + (-32)/(-224))/((-4)/3). Suppose -2*w + 6 = -2. Suppose 0*h**w + 2/9*h**c + 0 + 0*h**2 + 0*h - 2/9*h**3 = 0. What is h?
-1, 0, 1
Let m = 12691/5 - 2535. Factor 14/5*r**2 + 0 - 2/5*r + m*r**3.
2*r*(r + 1)*(8*r - 1)/5
Let i(j) be the third derivative of -1/240*j**6 + 0*j**5 - j**2 + 1/16*j**4 - 16*j - 1/6*j**3 + 0. Find p, given that i(p) = 0.
-2, 1
Let k(t) = -t**2 + t - 17. Let o be k(0). Let g(q) = -117*q + 11. Let w be g(o). Factor w*h**2 - 229*h + 1200*h**3 + 320*h**4 + 643*h + 32*h**5 + 836*h.
2*h*(2*h + 5)**4
Suppose 272*x + 83232 + 2/9*x**2 = 0. What is x?
-612
Let r = 301 - 298. Find z, given that 174387 - 174387 + 17*z + z**r + 18*z**2 = 0.
-17, -1, 0
Let x(s) = 21*s**4 - 81*s**3 + 960*s**2 + 432*s - 3879. Let p(v) = -2*v**4 - 3*v**3 - 1. Let t(c) = 9*p(c) + x(c). Factor t(m).
3*(m - 18)**2*(m - 2)*(m + 2)
Let 115/2*r + 42 + 16*r**2 + 1/2*r**3 = 0. Calculate r.
-28, -3, -1
Let p = -1692725/7 - -241160. Let f = p - -659. Factor 0 + 6/7*h**2 - 2/7*h**3 + f*h.
-2*h*(h - 4)*(h + 1)/7
Let s be (-736)/345 - (-2)/15 - -7. Let v(a) be the second derivative of 0 + 0*a**3 - 2/5*a**2 - 2/75*a**6 + 0*a**s + 2/15*a**4 + 11*a. Let v(y) = 0. What is y?
-1, 1
Let y(w) be the first derivative of -2*w**5/35 - w**4/4 + 9*w**2/14 + 1012. Let y(u) = 0. Calculate u.
-3, -3/2, 0, 1
Let q = -253511 + 253515. Determine p so that 0 + 0*p**2 + 16/3*p**q - 2*p**5 - 4*p**3 + 2/3*p = 0.
-1/3, 0, 1
Let k(f) = -112*f + 448. Let w be k(4). Let i(o) be the third derivative of -1/150*o**5 + 0 - 14*o**2 + 0*o + 1/30*o**4 + w*o**3. Find h such that i(h) = 0.
0, 2
Let i(a) be the third derivative of 1/120*a**5 + 0*a**4 - a**3 + 1/360*a**6 + 0 + 0*a - 3*a**2. Let p(v) be the first derivative of i(v). Factor p(d).
d*(d + 1)
Suppose -5*s + 11*s = 42. Let l(z) = -z**2 + 11*z - 17. Let w be l(s). What is i in 4*i + i**3 + w*i - 17*i - i**2 = 0?
-1, 0, 2
What is k in 2572/9*k + 2/9*k**2 + 826898/9 = 0?
-643
Find o such that o**2 + 351*o + 378*o + 211*o - 28*o + 1003 - 92 = 0.
-911, -1
Let j(t) be the first derivative of t**6/15 + t**5/5 - 13*t**4/6 + 10*t**3/3 - 184*t - 57. Let p(n) be the first derivative of j(n). Let p(r) = 0. What is r?
-5, 0, 1, 2
Suppose -2*o - 3*i + 91 = -0*o, 5*o = 3*i + 238. Let x be 9 + -1 - (-75)/(-15). Let -2*h**2 + 52 - x*h**2 - o = 0. What is h?
-1, 1
Let d be 192660/29250 - (-20)/250. Factor 4/3*b**5 - 56/3*b**2 - d*b - 8/3*b**4 - 16*b**3 + 0.
4*b*(b - 5)*(b + 1)**3/3
Determine h, given that 40/9*h**2 + 4/3*h**3 - 2/9*h**4 - 16/3*h - 128/9 = 0.
-2, 2, 8
Suppose -4*w + 729 = -191. Let s be w/60 - 1/(2 - 8). Find a such that -1/2*a**3 + 0 - 1/6*a**s + 1/6*a**2 + 1/2*a = 0.
-3, -1, 0, 1
Let y be 24*(-10)/(-80)*(-4)/(-6). Let q be 2*y/(-96)*(-177 - -173). What is o in 11/3*o**2 + 0 - q*o**3 - 121/6*o = 0?
0, 11
Let j(o) be the first derivative of o**6/54 - 239*o**5/45 + 18715*o**4/36 - 16803*o**3 - 113724*o**2 - 236196*o - 955. Suppose j(p) = 0. What is p?
-2, 81
Let i = -15 + 20. Suppose i*o - 24 = 2*o. Factor 27*w**2 - o*w**3 + 32*w**3 - 36*w - 3*w**3 - 12.
3*(w - 1)*(w + 2)*(7*w + 2)
Let 331/2*u**2 + 0 + 0*u + 1/4*u**4 + 333/4*u**3 = 0. Calculate u.
-331, -2, 0
Suppose 113*p - 2*p**2 + 3 + 235*p - 224 - 125 = 0. What is p?
1, 173
Suppose -6*m = -330 - 300. Let g = m - 101. Factor 15*o**3 - 13 + 23*o - g - 19 + o + 51*o**2.
3*(o + 2)**2*(5*o - 3)
Find n such that -2128/9*n**2 - 202/9*n**4 - 800/9*n + 22/9*n**5 - 1328/9*n**3 + 224/9 = 0.
-2, -1, 2/11, 14
Suppose -3*k - 4*k - 7 = 0. Let p(t) = -27*t - 24. Let r be p(k). What is u in 4 - 61/2*u**2 - 91/2*u**r - 7/2*u**5 - u - 47/2*u**4 = 0?
-4, -1, 2/7
Find t, given that 44/7*t + 4 + 17/7*t**2 + 1/7*t**3 = 0.
-14, -2, -1
Determine x so that 128/5 + 144/5*x - 1/10*x**5 - 33/10*x**4 - 287/10*x**3 - 223/10*x**2 = 0.
-16, -1, 1
Let s be -12 + 12 - (2/(-2) - 1). Suppose 4*h + 4*d + d = -2, s = -2*h - 3*d. Determine w so that 49*w + 53*w - 2*w**h + 5*w**2 - 66*w + 33 = 0.
-11, -1
Let y(g) be