that u(b) = 0.
-232, 2/9, 1
Let n = 223 + -221. Factor 15*f**2 + 23*f**2 - 27*f**4 + 4*f**5 - 54*f**n + 43*f**4 - 12*f + 8*f**3.
4*f*(f - 1)*(f + 1)**2*(f + 3)
Factor -19*k**4 + 19*k**4 - 16*k**4 - k**5 + k**3 - 7*k**4 + 18*k**2 + 5*k**2.
-k**2*(k - 1)*(k + 1)*(k + 23)
Suppose 77 = k + 73. Suppose 0 = -k*j - i + 7, -3*i - 15 = -7*j - 2*i. Let 10/11*f**j + 4/11 - 14/11*f = 0. What is f?
2/5, 1
Let u(a) = a**2 - 169*a - 41. Let r(s) = s**2 - 41*s + 1. Let b(h) = 3*r(h) - u(h). Solve b(p) = 0.
-22, -1
Let w(m) be the first derivative of -4*m**5/35 - 81*m**4/7 + 324*m**3 - 16038*m**2/7 - 5202. Factor w(g).
-4*g*(g - 9)**2*(g + 99)/7
Let i(y) be the second derivative of -y**4/20 - 4097*y**3/30 - 273*y**2 + 30*y - 15. Factor i(h).
-(h + 1365)*(3*h + 2)/5
Let u(s) = s**3 - 4*s**2 - s - 1. Let c(v) = -4*v**3 + 43*v**2 - 73*v + 5. Let k(i) = -4*c(i) - 20*u(i). Factor k(g).
-4*g*(g - 3)*(g + 26)
Let s(r) = 5*r - 6 + r + 10 + r. Let y be s(0). Factor -46*k**2 + 16*k**2 + 69*k + 14 + 18*k**2 + y.
-3*(k - 6)*(4*k + 1)
Let o(l) = -l**3 - 6*l**2 + 17*l + 11. Suppose -5 = 2*a - 4*g + 27, -20 = 3*a + g. Let b be o(a). Find k such that 5*k**3 + 3*k**4 + 3*k**2 + 0*k**3 + k**b = 0.
-1, 0
Let r(k) = 6 + 23 + 9*k**2 + 85*k - 5*k**2 - k**2 - 1. Let z be r(-28). What is u in 0 + 3/4*u**3 + z*u**2 + 0*u = 0?
0
Let d be 11 + 10 + 1539/(-76). Let o(f) = 9*f - 34. Let m be o(4). Let -d*b**m + 9/4 - 3/2*b = 0. Calculate b.
-3, 1
Let d be (-8)/9*(-234)/24. Suppose -495 + 485 = -5*z. Factor 4*i**3 + 8*i + 8/3 + 2/3*i**4 + d*i**z.
2*(i + 1)**2*(i + 2)**2/3
Find z, given that -20*z**3 - 1569*z - z**4 + 1485*z + 1680*z**2 - 1783*z**2 = 0.
-12, -7, -1, 0
Factor 5964*s + 587 - 133 - 155 - 201 + 90738*s**2.
2*(213*s + 7)**2
Let v(r) be the second derivative of r**7/15120 + 7*r**6/1080 + 49*r**5/180 + 3*r**4/4 - 39*r. Let y(f) be the third derivative of v(f). What is p in y(p) = 0?
-14
Solve 32*t**4 - 3*t**3 - 2*t**5 - 9*t**3 + 37*t**4 - 83*t**4 + 24*t**4 = 0 for t.
0, 2, 3
Let b(q) = q**3 + 15*q**2 - q - 1. Let g(z) = -20*z**3 - 2392*z**2 - 404*z + 812. Let h(o) = -4*b(o) + g(o). Let h(i) = 0. Calculate i.
-102, -2/3, 1/2
Let l(i) = 102*i**2 + 630*i + 2841. Let n(y) = 15*y**2 + 90*y + 407. Let v(f) = -4*l(f) + 27*n(f). Suppose v(j) = 0. What is j?
-25, -5
Solve 1083425*n**3 + 10*n**5 + 1145298*n**2 + 10*n**5 + 111541*n**2 + 273780*n + 109721*n**2 - 8508*n**4 - 827*n**4 = 0.
-1, -1/4, 0, 234
Let w(g) be the third derivative of -g**5/150 + 39*g**4/10 + 47*g**3/3 + 1362*g**2. Solve w(t) = 0 for t.
-1, 235
Let k be ((-108)/(-24))/(3/(-44)). Let n be 16/((-128)/k) + -7. Let 0 + 5/4*c**3 + 5/2*c**2 + n*c = 0. Calculate c.
-1, 0
Let b(g) be the second derivative of -g**9/20160 + g**8/4480 - g**7/3360 + g**4/4 - 3*g**3 - 4*g - 25. Let s(r) be the third derivative of b(r). Factor s(h).
-3*h**2*(h - 1)**2/4
Let v(j) be the second derivative of -971*j**5/15 + 216*j**4 - 650*j**3/3 + 4*j**2/3 - 11278*j. Factor v(s).
-4*(s - 1)**2*(971*s - 2)/3
Let -3/7*q**4 + 0 - 171/7*q**2 + 90/7*q**3 + 12*q = 0. Calculate q.
0, 1, 28
Suppose -25392/5 + 1/5*c**3 - 187/5*c**2 + 9016/5*c = 0. What is c?
3, 92
Factor -408/5*u + 9/5*u**2 + 4624/5.
(3*u - 68)**2/5
Let d = 3/284279 + 284273/568558. Find g such that 23/2 - d*g**3 - 23/2*g**2 + 1/2*g = 0.
-23, -1, 1
Let w be 30/(-1485)*11 - (-10982)/9. What is s in 4*s**3 + 12 + 3*s**3 - 3*s**3 + w*s + 20*s**2 - 1192*s = 0?
-3, -1
Let b be (-6)/8 + (2 - (-30)/8). Factor 3*n**3 + 2*n**3 - 6*n**2 + 2*n**b + 26175*n**4 - 26162*n**4.
n**2*(n + 1)*(n + 6)*(2*n - 1)
Let f(c) be the first derivative of -c**8/336 + 2*c**7/105 - c**6/40 + 2*c**2 + 23. Let o(k) be the second derivative of f(k). Factor o(j).
-j**3*(j - 3)*(j - 1)
Let h(u) be the first derivative of -2*u**6/15 + u**5/5 + 3*u**4 + 22*u**3/3 + 8*u**2 - 58*u - 122. Let c(v) be the first derivative of h(v). Factor c(n).
-4*(n - 4)*(n + 1)**3
Suppose -35*o + 234 + 291 = 0. Suppose 0 = l - 4*m + 12, -5*l + o = -m - 1. Find s, given that -23/3*s - 217/3*s**3 - 220/3*s**l - 28*s**5 - 2/3 - 34*s**2 = 0.
-1, -1/2, -1/3, -2/7
Let r(p) be the first derivative of 0*p - 3/2*p**4 + 0*p**2 + 28/9*p**3 - 261 + 2/15*p**5. Factor r(h).
2*h**2*(h - 7)*(h - 2)/3
Factor -954/5 - 118/5*o**2 - 2/5*o**3 - 654/5*o.
-2*(o + 3)**2*(o + 53)/5
Let d be 11 + 0 - (9 - -1). Let n be 51/68*(d + 2). Find c, given that 3/4*c**4 - n*c**3 - 3/2*c**2 + 9*c - 6 = 0.
-2, 1, 2
Let q = -228899 - -457805/2. What is z in 3 + 17/2*z + 17/2*z**2 + 1/2*z**4 + q*z**3 = 0?
-3, -2, -1
Determine m, given that -3/5*m**5 - 99*m**3 + 23958/5*m + 81/5*m**4 - 2541/5*m**2 + 0 = 0.
-6, 0, 11
Let a(j) be the first derivative of j**3/6 - 37*j**2 + 146*j + 1908. Suppose a(f) = 0. What is f?
2, 146
Factor -82 + l**3 + 262 - 1955485*l**2 - 36*l + 1955456*l**2.
(l - 30)*(l - 2)*(l + 3)
Suppose 7*c - 26 = -6*c. Solve -291 + 419 + 24*v**c + 2*v**3 - v + 97*v = 0.
-4
Let p(f) be the second derivative of f**5/30 - 23*f**4/27 + 5*f**3/9 - 1307*f. Determine h so that p(h) = 0.
0, 1/3, 15
Let f(m) be the first derivative of -35*m**3 + 2525*m**2 - 480*m - 2501. Determine l, given that f(l) = 0.
2/21, 48
Let g(s) = 5*s - 27. Let v(o) = -2*o - 26. Let i be v(-16). Let m be g(i). Find n such that -10*n**3 - 2*n**3 - 3*n**m + 11*n**3 + 4*n = 0.
-1, 0, 1
Factor 9 - 5/2*j**3 + 15*j + 1/4*j**4 + 13/4*j**2.
(j - 6)**2*(j + 1)**2/4
Suppose 11394/5*w**2 - 1376/5*w - 980*w**4 + 1582*w**3 + 8 = 0. Calculate w.
-1, 2/35, 5/2
Let c(j) be the second derivative of j**4/36 + 2*j**3/9 + 2*j**2/3 + 19*j + 7. Let c(t) = 0. What is t?
-2
Let h(v) = 20*v**3 - 8795*v**2 - 28055*v - 18560. Let t(m) = m**3 - 419*m**2 - 1336*m - 884. Let a(l) = -4*h(l) + 85*t(l). Factor a(u).
5*(u - 90)*(u + 1)*(u + 2)
Let f(k) = -2*k**3 - 10*k**2 - 13*k - 22. Let d be f(-6). Factor 35 - 4 + 12*h**2 + 44 + 5 - d*h.
4*(h - 10)*(3*h - 2)
Let a = 1850667/19 - 97397. Factor a*x - 2/19*x**2 - 1922/19.
-2*(x - 31)**2/19
Solve 24*j - 372/5*j**2 - 9/5*j**5 + 93/5*j**4 + 6/5*j**3 + 0 = 0 for j.
-2, 0, 1/3, 2, 10
Suppose -4*y + 17 = i - 241, 0 = -3*i - 6. Let h = -60 + y. Factor 100*l**3 - 103*l**3 + 7*l**2 + h*l**2.
-3*l**2*(l - 4)
Let o be ((-4)/(-8) + -2)/((-8)/(2 + 14)). Let d(j) be the second derivative of -1/3*j**2 - 1/18*j**4 + 2*j + 2/9*j**o + 0. Factor d(x).
-2*(x - 1)**2/3
Suppose -280/3 - 695/3*p + 5/3*p**3 - 535/6*p**2 = 0. Calculate p.
-2, -1/2, 56
Let t(l) be the third derivative of l**6/6 + l**5/5 + 2*l**4 - 8*l**3/3 + 90*l**2. Let z(q) = q**3 - q**2 - 1. Let u(f) = t(f) - 16*z(f). Factor u(d).
4*d*(d + 3)*(d + 4)
Let z(v) be the third derivative of 0*v**3 + 8 + 0*v + 1/300*v**5 - 4*v**2 + 1/8*v**4. Determine f so that z(f) = 0.
-15, 0
Let d(v) be the second derivative of v**5/5 + 8*v**4 + 42*v**3 + 2*v + 1097. Factor d(c).
4*c*(c + 3)*(c + 21)
Let k(i) = 3*i + 27. Let b be k(-9). Suppose -4*t - 4 = 3*v - 1, b = -4*t + 4*v + 32. Factor -61 + 0*o - o**t + 61 + 4*o**2 - 4*o.
-o*(o - 2)**2
Suppose 19*v + 8 = 84. Suppose 2*z**5 + 6*z**4 + z**4 - 13*z**v + 10*z**4 = 0. Calculate z.
-2, 0
Factor -191/7*o - 97/7*o**2 - 95/7 - 1/7*o**3.
-(o + 1)**2*(o + 95)/7
Let u = 3989107/6980925 + -1/997275. What is y in -u - 96/7*y**3 + 38/7*y**2 + 62/7*y = 0?
-2/3, 1/16, 1
Let z(p) be the third derivative of p**8/1512 - 2*p**7/105 - p**6/60 + 3*p**5/5 - 6*p**2 - 11*p + 6. Suppose z(f) = 0. What is f?
-3, 0, 3, 18
Factor -4/5*n**2 - 8/5*n + 0.
-4*n*(n + 2)/5
Let u = 64770 + -323848/5. Factor -12/5*w**2 - 8/5 - 18/5*w - u*w**3.
-2*(w + 1)**2*(w + 4)/5
Let d(b) be the first derivative of 8/3*b + 2/15*b**5 + 13/3*b**2 - 170 + 10/3*b**3 + 7/6*b**4. Factor d(z).
2*(z + 1)**3*(z + 4)/3
Let v(y) = 3*y**2 - 43*y + 74. Let s be v(2). Suppose -2*r + 5*r - 212 = -4*z, s = 4*r - z - 289. Factor r*p**2 + 2646*p**4 - 756*p**3 + 0 - 16/7*p.
2*p*(21*p - 2)**3/7
Let r(f) be the third derivative of f**8/1344 + f**7/1260 - f**4/12 + 37*f**3/6 + 188*f**2. Let v(l) be the second derivative of r(l). Solve v(s) = 0.
-2/5, 0
Let o(d) be the second derivative of 5*d**4/12 + 1310*d**3 + 1544490*d**2 + 5168*d. Factor o(k).
5*(k + 786)**2
Let t be (((9 + -10)*0)/(-1))/(-3). Factor t - 3/5*l**2 - 6/5*l.
-3*l*(l + 2)/5
Determine w so that 2/3*w**3 - 190*w - 136/3*w**2 - 144 = 0.
-3, -1, 72
Let x(q) be the third derivative of -7/20*q**4 + 1/300*q**6 + 0 - 3/50*q*