 = 13*l + 375. Let r(n) = -n**2 - n. Let z(g) = -5*g**3 - 250*g**2 - 3400*g - 16875. Let i(x) = l*r(x) + z(x). Solve i(d) = 0.
-15
Let j(q) be the third derivative of 1/480*q**6 + 0*q - 1/80*q**5 - 1/12*q**3 - 4*q**2 - 1 - 5/96*q**4 + 1/840*q**7. Find w such that j(w) = 0.
-1, 2
Let x be 508/(9 - 341/44). Let z = -406 + x. Factor z*u + 2/5*u**2 + 0.
2*u*(u + 1)/5
Let w(o) be the third derivative of -o**6/240 - 13*o**5/20 - 235*o**4/16 - 425*o**3/3 + 919*o**2. Suppose w(f) = 0. Calculate f.
-68, -5
Let d(j) = 4*j**2 + 386*j - 797. Let q(b) = -38*b**2 - 3468*b + 7172. Let k(a) = -28*d(a) - 3*q(a). Solve k(p) = 0.
2, 200
Let r = -463 - -465. Let z(x) be the first derivative of -2/21*x**3 + 0*x - 3/7*x**r + 18. Factor z(m).
-2*m*(m + 3)/7
Let l be (-47)/(2256/(-128)) + (-2)/3. Let a(u) be the third derivative of 0 + 5/108*u**4 + 2/9*u**3 + 0*u + 14*u**l - 4/135*u**5 - 1/180*u**6. Factor a(d).
-2*(d - 1)*(d + 3)*(3*d + 2)/9
Let o(t) be the first derivative of t**8/2520 - 11*t**7/315 + 35*t**6/36 - 49*t**5/10 + 29*t**3/3 + 215. Let c(p) be the third derivative of o(p). Factor c(l).
2*l*(l - 21)**2*(l - 2)/3
Let l(d) = 22*d**2 - 830*d - 224. Let r be l(38). Factor -3*n**3 - 3/2*n**2 + 3*n + 3/2*n**r + 0.
3*n*(n - 2)*(n - 1)*(n + 1)/2
Let j(m) be the second derivative of 3*m**5/20 - 313*m**4/2 + 48670*m**3 + 295788*m**2 + 3620*m. Factor j(n).
3*(n - 314)**2*(n + 2)
Let f(h) = -6*h**2 - 48*h - 87. Let x be f(-3). Let t(a) be the first derivative of -4*a - 16/3*a**x + 1/3*a**6 - 7*a**2 + 4/5*a**5 - 8 - a**4. Factor t(z).
2*(z - 2)*(z + 1)**4
Let f(l) be the first derivative of 188 + 1/45*l**5 + 0*l + 0*l**2 - 5/36*l**4 + 0*l**3. Factor f(u).
u**3*(u - 5)/9
Let t(n) be the first derivative of -2*n**5/5 - 45*n**4/2 + 2*n**3 + 133*n**2 - 180*n - 1231. Factor t(b).
-2*(b - 1)**2*(b + 2)*(b + 45)
Let z(f) = f**3 + 14*f**2 + f + 32. Suppose 4*q + 2*q + 84 = 0. Let u be z(q). Let u*n + 36 + 4*n**2 - 29*n + 35*n = 0. What is n?
-3
Let l(p) = -p**3 + 133*p**2 + 241*p + 139. Let c(x) = -x**3 + 133*x**2 + 248*x + 138. Let a(t) = 4*c(t) - 3*l(t). Factor a(y).
-(y - 135)*(y + 1)**2
Let x be 530/2385*(-117)/(-52). Factor -x*q**3 + 15 - 31/2*q + 5*q**2.
-(q - 5)*(q - 3)*(q - 2)/2
Let c be 3/6*52/4. Suppose -59*p - 130 = -307. Let 2 + c*g**2 - 3*g**p - 6*g + 1/2*g**4 = 0. What is g?
1, 2
Let g(d) be the second derivative of -7*d**5/80 - 11*d**4/48 - d**3/6 - 1015*d - 1. What is z in g(z) = 0?
-1, -4/7, 0
Suppose -660 - 177*c**2 + 3*c**3 + 309*c + 397*c + 288*c - 322*c = 0. What is c?
2, 55
What is v in 52/3*v**2 - 16*v + 0 + 2/3*v**5 + 2*v**3 - 4*v**4 = 0?
-2, 0, 1, 3, 4
Solve 2*w**4 + 6*w**4 - 60*w**3 - 28 + 4 - 77*w + 25*w + 84*w**3 - 4*w**5 - 16*w**2 = 0.
-1, 2, 3
Let -475703 - 2256*c - 7*c**2 + 5*c**2 - 160489 = 0. Calculate c.
-564
Let c be -8*(369 + 1)/((-44)/55). Let q = c - 18436/5. Determine s, given that -q*s**2 + 96/5*s - 36/5 = 0.
3/4
Let j(b) = 5*b**5 - b**4 - 2*b**3 + b**2 - 1. Let g(t) = 1054*t**5 - 147*t**4 - 38*t**3 + t**2 + 7. Let r(o) = -4*g(o) - 28*j(o). Determine h so that r(h) = 0.
-2/9, 0, 2/11
Let v(u) be the second derivative of 19*u**6/75 + 4*u**5/5 + 23*u**4/30 + 2*u**3/15 - 60*u. Factor v(b).
2*b*(b + 1)**2*(19*b + 2)/5
Let g = -6/155 + 16/93. Let v(z) be the first derivative of 2/15*z**2 + 0*z - 1/30*z**4 + 2/25*z**5 + 41 - 1/45*z**6 - g*z**3. Find t, given that v(t) = 0.
-1, 0, 1, 2
Let 395 - 84*a**2 + 3344*a + 778 + 80*a**2 + 759 + 1416 = 0. Calculate a.
-1, 837
Let j(s) be the first derivative of 7*s**3/4 - 859*s**2/8 - 41*s/2 - 2772. Factor j(y).
(y - 41)*(21*y + 2)/4
Let m = -2364 + 2367. Let g(z) be the second derivative of 0 - 1/16*z**m + 1/8*z**2 - 2*z + 1/96*z**4. Factor g(i).
(i - 2)*(i - 1)/8
Let j(p) be the first derivative of 0*p + 14/9*p**6 - 31 - 8/15*p**5 + 0*p**2 + 8/9*p**3 - 7/3*p**4. Let j(s) = 0. Calculate s.
-1, 0, 2/7, 1
Determine n so that -1595*n + 80*n**2 - 5*n**3 + 75*n**2 + 1630849 - 1625404 = 0.
9, 11
Let i = 233/6916 - -1/494. Let b(k) be the second derivative of 2/7*k**2 + 2/21*k**3 - 1/210*k**6 + 0 - i*k**4 + 3*k - 1/35*k**5. Let b(y) = 0. Calculate y.
-2, -1, 1
Let x(b) = 36*b**2 - 422*b - 418. Let i(m) = -11*m**2 + 141*m + 140. Let h(t) = 10*i(t) + 3*x(t). Factor h(j).
-2*(j - 73)*(j + 1)
Suppose 16 - 18 = -c. Let z(s) be the first derivative of 8/7*s - 5/7*s**c + 2/21*s**3 - 2. Find x such that z(x) = 0.
1, 4
Let r be 6/(-4)*(6 - (-154)/(-21)). Suppose 0*f - r = -f. Let 117*w**2 - 56*w - 196 - 61*w**2 - 60*w**f = 0. Calculate w.
-7
Let d(j) = -116*j + 3831. Let i be d(33). Let q(x) be the second derivative of 0 + 2*x**i + 29*x - 1/6*x**4 - 9*x**2. Find n, given that q(n) = 0.
3
Suppose 170*g = 189*g + 15884. Let t = g + 841. Determine v so that 0 + 1/7*v**t + 1/7*v**2 + 2/7*v - 3/7*v**3 - 1/7*v**4 = 0.
-1, 0, 1, 2
Factor 8243641 + 25693*v + 75657*v - 2930775 - 1390*v**2 + 1515*v**2 + 15230779.
5*(5*v + 2027)**2
Let v be 13/(-4)*8776/(-14261). Find a, given that 4/3*a**v + 192 - 32*a = 0.
12
Let y(z) be the third derivative of 3*z**5/20 - 5*z**4/2 + 61*z**3/6 + 28*z**2. Let l(a) = -8*a**2 + 60*a - 60. Let f(x) = 5*l(x) + 4*y(x). Factor f(g).
-4*(g - 14)*(g - 1)
Let t = -101/2 + 1115/22. Let x be 4335/2601 - (-2)/((-132)/74). Find f, given that -t*f + x*f**2 + 0 = 0.
0, 1/3
Let c = 59 - 635. Let u = c - -4040/7. Find z such that -u*z + 4/7*z**2 + 4/7 = 0.
1
Suppose 0 = 19*w - 12 - 83. Let b(p) be the third derivative of -18*p**2 + 1/120*p**w + 0*p + 7/48*p**4 + 0 + 1/2*p**3. Factor b(h).
(h + 1)*(h + 6)/2
Determine p so that 3/4*p**2 - p**3 + 1/4*p**4 + 0*p + 0 = 0.
0, 1, 3
Let s(h) be the first derivative of -16/3*h**3 - 3*h**4 - 25 + 2*h**2 + 8*h. Factor s(a).
-4*(a + 1)**2*(3*a - 2)
Let d(u) be the first derivative of -u**6/10 + 39*u**5/25 - 33*u**4/20 - 13*u**3/5 + 18*u**2/5 + 2029. Solve d(o) = 0.
-1, 0, 1, 12
Let q(l) be the third derivative of -l**5/12 + 145*l**4/8 - 215*l**3/3 + 6*l**2 - 42*l. Find k, given that q(k) = 0.
1, 86
Let m be -22 + (41/205)/((-27)/(-3030)). What is i in 2/9*i**2 - 2/9*i - m = 0?
-1, 2
Let a be (-4)/52*23/69*-117. Factor 4/5*c - 4*c**2 - 4/5*c**a + 4.
-4*(c - 1)*(c + 1)*(c + 5)/5
Factor 0 + 0*l - 4/5*l**2 + 62/5*l**3.
2*l**2*(31*l - 2)/5
Let i be ((-4)/22 + 0)/((-147)/1617). Let h be 3 - (-9 + 12/i + 6). Let p + h + 1/4*p**2 = 0. What is p?
-4, 0
Let v(h) be the third derivative of h**8/112 - 18*h**7/35 + 461*h**6/40 - 1221*h**5/10 + 576*h**4 - 1296*h**3 - 8461*h**2. Let v(k) = 0. Calculate k.
1, 2, 9, 12
Let 52/7*w**3 - 32/7 - 12/7*w**5 + 20*w - 94/7*w**4 + 306/7*w**2 = 0. Calculate w.
-8, -1, 1/6, 2
Factor 60 - 64*u**2 + 32 + 23*u - 4*u**3 + 44 + 53*u.
-4*(u - 2)*(u + 1)*(u + 17)
Suppose -i - i = 4*y - 112, -49 = -i + 5*y. Let -14*s + i*s**2 + 16*s + 16*s + 15 + 24*s**3 + 3*s**4 + 30*s = 0. What is s?
-5, -1
Let s be (2125/34)/(-25)*-4. Let y(c) be the first derivative of c**4 + s*c**2 - 16/3*c**3 - 8*c - 4. Find k such that y(k) = 0.
1, 2
Let o = -15080 + 15082. Let p(k) be the first derivative of -5/3*k**3 + 0*k + 15/2*k**o + 22. Factor p(s).
-5*s*(s - 3)
Suppose -8 = -2*m - 2*m. Let y = -15936 - -15939. Factor 2/7*x**5 + 0*x + 0 + 4/7*x**y + 6/7*x**4 + 0*x**m.
2*x**3*(x + 1)*(x + 2)/7
Let n(s) be the second derivative of -s**7/294 - 17*s**6/70 - 36*s**5/35 + 11342*s. Factor n(g).
-g**3*(g + 3)*(g + 48)/7
Suppose 2*m - o = 299, 0 = 4*m - 36*o + 35*o - 603. Let y = 156 - m. Factor y*d - 4*d**3 + 0 + 4/3*d**2 - 4/3*d**4.
-4*d*(d - 1)*(d + 1)*(d + 3)/3
Let l = 369 - 367. Find t such that -3*t - t - 6 + 5 - t - 14 + 15*t**l + 5*t**3 = 0.
-3, -1, 1
Let q(r) be the second derivative of -r**4/48 - 17*r**3/12 + 33*r - 1. Let q(a) = 0. What is a?
-34, 0
Let t(l) be the second derivative of 8*l**7/21 - 42*l**6/5 + 48*l**5 + 64*l**4/3 + 339*l. Find q such that t(q) = 0.
-1/4, 0, 8
Suppose 5*i - 16*v - 64 = 0, -2*v = -2*i + 6*i + 8. Solve i*r + 2/13*r**3 + 0 + 10/13*r**2 = 0 for r.
-5, 0
Let k(n) be the third derivative of 0*n - 36*n**2 + 4/27*n**4 + 0 + 0*n**3 + 1/60*n**6 - 1/945*n**7 - 4/45*n**5. Let k(b) = 0. What is b?
0, 1, 4
Let o be ((-1)/16)/((-86654)/(-4440) - 22 - (-24)/10). Find w, given that 9/4*w**2 - o*w**3 + 27/4*w - 81/4 = 0.
-3, 3
Find z, given that -5248868*z + 24006*z**3 - 14269852*z - 24010*z**3 + 19536400 - 17676*z**2 = 0.
-2210, 1
Suppose o + y = 0, 2*o + 