 Let j be p(-17). Factor 0*z - 2/7*z**3 + j + 6/7*z**2.
-2*z**2*(z - 3)/7
Let y be (-54)/(-234) + 3132/6032. Suppose 15/4 + y*a**5 - 15/2*a**3 - 3/2*a**2 - 9/4*a**4 + 27/4*a = 0. Calculate a.
-1, 1, 5
Let p(o) be the third derivative of 1/80*o**5 - 3/4*o**3 + 2*o**2 + 2 + 0*o + 5/32*o**4. Factor p(b).
3*(b - 1)*(b + 6)/4
Let w(h) be the second derivative of h**5/20 + 2*h**4 - 17*h**3/2 + 73*h**2/2 + 8*h - 1. Let r(y) be the first derivative of w(y). Determine o so that r(o) = 0.
-17, 1
Let g(q) be the first derivative of 11*q**6/12 - 883*q**5/40 - 939*q**4/16 + 43*q**3/6 + 11*q**2/2 - 14293. What is n in g(n) = 0?
-2, -2/11, 0, 1/4, 22
Let -42*d**3 + 648/5*d**2 + 219/5 - 3/5*d**4 - 654/5*d = 0. What is d?
-73, 1
Let i(r) = r**2 + 11*r - 4. Let n be i(-8). Let b be 2*((-62)/n - (-8)/28). Suppose -b*y**2 + 79*y - 45*y - 5 - 44*y = 0. What is y?
-1
Let q(u) = -5*u + 44. Let v be q(8). Suppose -4*r - j - 4 = 0, 0 = v*r - 2*j - 3*j - 20. Factor r*t + 0 - 3/11*t**2 - 1/11*t**3.
-t**2*(t + 3)/11
Let f(y) be the third derivative of 0*y + 1/360*y**6 + 1/30*y**5 - 1/72*y**4 - 1/3*y**3 + 84*y**2 + 0. Determine r so that f(r) = 0.
-6, -1, 1
Suppose 2*x = -4*h + 3997 - 1243, 5*h - x - 3432 = 0. Let w = 3449/5 - h. Factor 0 + 52/5*q**3 - 8*q**2 - w*q**4 - 16/5*q.
-2*q*(q - 2)**2*(7*q + 2)/5
Suppose 3*k - 85*w + 84*w = 17, 2*w = 4*k - 28. Factor 0 + 1/4*d**2 - k*d.
d*(d - 12)/4
Let y(j) = 347*j + 10066. Let i be y(-29). Factor 0 + 0*b - 2/5*b**4 - 2/5*b**2 + 4/5*b**i.
-2*b**2*(b - 1)**2/5
Let k(f) = 2*f**2 - 132*f + 133. Let t be k(1). Let q(l) be the first derivative of 4*l - 17/3*l**2 + 17 + 10/9*l**t. Factor q(a).
2*(a - 3)*(5*a - 2)/3
Let p(x) = -x**3 - 2*x - 2. Let b(h) = h**2 + h. Let s(d) = 4*b(d) + p(d). Let t be s(4). What is v in -3*v**2 - 6*v + 17 - 2 + 0*v - t*v = 0?
-5, 1
Let f(i) be the first derivative of 40/3*i**3 + 0*i - 4*i**2 + 63 + 11/2*i**4. Factor f(h).
2*h*(h + 2)*(11*h - 2)
Let s(f) be the first derivative of f**4/2 - 4*f**3/3 - 19*f**2 + 40*f - 14593. Find z such that s(z) = 0.
-4, 1, 5
Let z = -13742 - -12106704/881. Let q = z + 7038/4405. Factor 2/5*m**5 + 6/5*m**3 + 0*m + 0 + 0*m**2 + q*m**4.
2*m**3*(m + 1)*(m + 3)/5
Let u(h) be the third derivative of 2/3*h**3 - 6*h**2 + 0*h + 2/63*h**7 - 8/45*h**5 + 1/36*h**4 + 3 - 1/168*h**8 + 1/90*h**6. What is c in u(c) = 0?
-1, -2/3, 1, 3
Let p(k) = -5*k**4 - 176*k**3 + 192*k**2 + 164*k - 175. Let v(h) = -h**3 + 2*h**2 - h. Let o(t) = p(t) - 6*v(t). Find n, given that o(n) = 0.
-35, -1, 1
Let s(l) be the third derivative of -l**6/360 + 11*l**5/45 - 251*l**4/72 - 148*l**3/9 + 327*l**2 - 7. Factor s(g).
-(g - 37)*(g - 8)*(g + 1)/3
Let d(c) = -6*c + 170. Let a be d(28). What is p in 1444 - 14*p**a - 31*p - 54*p + 9*p + 15*p**2 = 0?
38
Let c = 2543 - 3920. Let w = c + 2038. Find j such that -10*j**4 + w*j - 661*j - 6*j**3 + 4*j**2 = 0.
-1, 0, 2/5
Let a = 24612 - 73828/3. Suppose -a*m**4 + 22/3*m**3 + 2/3 + 2/3*m - 6*m**2 = 0. What is m?
-1/4, 1
Let n(a) = -a**2 + 1228*a - 6115. Let i be n(5). Determine z, given that -6/17*z + i - 4/17*z**2 + 2/17*z**3 = 0.
-1, 0, 3
Let v(z) be the third derivative of 1/105*z**7 + 7/12*z**4 - 7*z**2 + 0*z + 3/10*z**5 - 2 + 2/3*z**3 + 1/12*z**6. Suppose v(h) = 0. What is h?
-2, -1
Factor 6*p**4 + 52*p**3 - 175*p**2 + 173*p + 25*p**2 - 129*p.
2*p*(p - 2)*(p + 11)*(3*p - 1)
Let q(n) be the third derivative of -15*n**2 + 4*n - 55/24*n**4 + 5/2*n**3 + 0 - 1/3*n**5. Determine s so that q(s) = 0.
-3, 1/4
Let f(c) = 32*c**3 - 4425*c**2 - 2282*c + 2227. Let v(d) = 24*d**3 - 3318*d**2 - 1712*d + 1670. Let s(t) = 10*f(t) - 13*v(t). Factor s(a).
4*(a - 140)*(a + 1)*(2*a - 1)
Let b(r) be the third derivative of -r**5/270 + 25*r**4/108 - 52*r**3/9 - 2943*r**2. Find i, given that b(i) = 0.
12, 13
Let b = -141/31 - -798/155. Factor b*w**2 + 27/5*w + 42/5.
3*(w + 2)*(w + 7)/5
Let j(b) be the third derivative of b**5/270 + 59*b**4/36 - 178*b**3/27 + 934*b**2. Suppose j(i) = 0. Calculate i.
-178, 1
Factor 87/2*h**2 - 3/2*h**3 + 315*h + 0.
-3*h*(h - 35)*(h + 6)/2
Let k be 5/(-9)*3*(-4 - -1). Let l(p) be the second derivative of -1/4*p**k + 0 - 2*p - 5/2*p**2 + 5/12*p**4 + 5/6*p**3. Let l(d) = 0. Calculate d.
-1, 1
Let r(j) be the second derivative of -j**4/4 - 617*j**3/2 - 924*j**2 + 2502*j. Suppose r(k) = 0. What is k?
-616, -1
Let d = 5575/3 + -5570/3. Determine v so that d*v**4 - 13/3*v**2 - 2/3*v + 1/3*v**3 + 1/3*v**5 + 8/3 = 0.
-4, -2, -1, 1
Let z = -425 + 428. Let n(a) = 8*a - 21. Let p be n(z). Factor 4/7*g**5 - 4/7 + 12/7*g**4 - 12/7*g + 8/7*g**p - 8/7*g**2.
4*(g - 1)*(g + 1)**4/7
Let i(v) be the third derivative of v**8/1512 + v**7/135 + v**6/108 - 7*v**5/270 - v**4/18 + 4*v**2. Find a, given that i(a) = 0.
-6, -1, 0, 1
Let v be 162/(-2)*1325/(-4770). Factor -39/4*l + 3/4*l**2 - v.
3*(l - 15)*(l + 2)/4
Solve -2/11*d**5 + 80/11*d - 78/11*d**3 - 72/11 + 26/11*d**4 + 46/11*d**2 = 0.
-1, 1, 2, 9
Let f = -3028 + 3028. Let q(h) be the third derivative of 5/48*h**4 + 13*h**2 - 25/24*h**3 + f*h - 1/240*h**5 + 0. Solve q(a) = 0.
5
Let t(l) = -27*l**3 + 48*l. Let n(c) = 7*c**3 - 12*c. Let w be 4/4 + 1 + -2 + 15. Let q(k) = w*n(k) + 4*t(k). Determine x, given that q(x) = 0.
-2, 0, 2
Let g = -507355 - -507358. Suppose 0*i**2 - 3/7*i**g + 3/7*i + 0 = 0. Calculate i.
-1, 0, 1
Let f(q) = -9*q**4 - 49*q**3 - 5*q**2 + q + 22. Let r(s) = -s**4 - 5*s**3 + s**2 - s + 1. Let h(p) = -3*f(p) + 24*r(p). Suppose h(b) = 0. What is b?
-7, -2, -1, 1
Let h be ((-35)/10)/(-1 - 18/24). Factor -6 - 275*s**3 + 36 - 6*s - 8*s**h + 138*s**3 + 6 + 139*s**3.
2*(s - 3)**2*(s + 2)
Let n(x) be the first derivative of x**5/240 - x**4/24 + x**3/9 + 20*x - 12. Let u(r) be the first derivative of n(r). Factor u(s).
s*(s - 4)*(s - 2)/12
Find q, given that 153 + 280 - 91*q**2 - 384*q - 51*q**2 - 145 - 56*q**2 - 21*q**3 = 0.
-6, -4, 4/7
Let f(k) be the first derivative of 0*k - 1/150*k**5 - 10*k**2 + 0*k**3 - 27 - 1/10*k**4. Let j(v) be the second derivative of f(v). Factor j(i).
-2*i*(i + 6)/5
Determine m so that 2*m**4 + 1336/3*m + 294*m**2 - 1336/3*m**3 - 296 = 0.
-1, 2/3, 1, 222
Let c(q) = -2*q**2 + 31*q - 12. Let d be c(15). Let m(b) = b**3 - 5*b**2 + 9*b - 7. Let l be m(d). Factor 5*w**2 - 9*w**2 + 5*w**2 - 6 + 9*w + 5*w**l.
3*(w + 2)*(2*w - 1)
Suppose 0 = -38*g + 16 - 92. Let r be (-6)/(g - -8) - 55/(-9). Factor -16/9 + r*n**2 - 20/9*n - 10/9*n**3.
-2*(n - 4)*(n - 1)*(5*n + 2)/9
Suppose 0*f - 10*f - 16*f = 0. Let p(t) be the second derivative of -2*t + f + 1/110*t**5 + 0*t**2 + 0*t**3 + 1/66*t**4. Factor p(o).
2*o**2*(o + 1)/11
Let f(w) = -4*w**2 + 0*w**2 - 12 - 2 + 18 - 8*w - 12. Let d(m) = 12*m**2 + 25*m + 27. Let v(j) = -2*d(j) - 7*f(j). What is g in v(g) = 0?
-1, -1/2
Let h be 2/2*(-4)/(-14). Let f be -13 + (-7 - 4752/(-231)). Factor 8/7*p**2 - 10/7*p + f - h*p**3.
-2*(p - 2)*(p - 1)**2/7
Let h(o) be the second derivative of -25/27*o**3 - 9 + 2/3*o**2 - 7/27*o**4 - o. Factor h(a).
-2*(a + 2)*(14*a - 3)/9
Let r(v) = -3*v**3 - 385*v**2 + 516*v + 532. Let q(k) = 6*k**3 + 771*k**2 - 1030*k - 1072. Let w(t) = -2*q(t) - 5*r(t). Determine f so that w(f) = 0.
-129, -2/3, 2
Suppose 73*i = -204*i - 28*i. Determine h, given that i + 0*h + 1/2*h**3 - 3/2*h**4 - 1/2*h**5 + 3/2*h**2 = 0.
-3, -1, 0, 1
Solve 68*w + 1/2*w**4 + 33*w**2 - 69/2*w**3 + 0 = 0.
-1, 0, 2, 68
Let a(c) = -31*c - 3221. Let p be a(-104). Let u(r) be the second derivative of 0 + 0*r**2 + 1/70*r**5 + 0*r**4 + 0*r**p - 3*r. Factor u(l).
2*l**3/7
Factor 662*n**2 + 67*n + 3660 + 56*n + 665*n**2 - 1330*n**2.
-3*(n - 61)*(n + 20)
Suppose 0 = -2*v + 8, 1193*d + 3*v = 1192*d + 14. Factor -32/15*o - 2/15*o**5 + 8/15 + 14/15*o**4 + 10/3*o**d - 38/15*o**3.
-2*(o - 2)**2*(o - 1)**3/15
Let m(z) be the second derivative of z**6/60 + z**5/10 - 61*z**4/12 - 21*z**3 + 3969*z**2/4 + 2308*z. Find r, given that m(r) = 0.
-9, 7
Let w(t) = 10*t**3 - 30*t**2 + 940*t. Let c(i) = 4*i**3 - 10*i**2 + 315*i. Let l(j) = 8*c(j) - 3*w(j). Factor l(q).
2*q*(q - 10)*(q + 15)
Let r(j) be the second derivative of -j**6/70 - 61*j**5/210 + j**4/3 + j**3/3 + 19*j**2/2 + 62*j. Let z(t) be the second derivative of r(t). Factor z(m).
-4*(m + 7)*(9*m - 2)/7
Suppose -4034 + 4025 = -3*t. Let n(f) be the third derivative of 1/168*f**8 + 0*f**6 + 0*f**5 + 0*f**4 + 0 + 0*f - 1/105*f**7 + 10*f**2