 4*a - 14. Let x be y(-5). Let l = x + 122. Let -115*h**2 - 3*h**3 + 2*h - 2*h**4 + l*h**2 - 3*h**3 + 4*h + 4 = 0. Calculate h.
-2, -1, 1
Let q be 2/(-3) + (-828)/(-27). Let y be 54/(-35)*(1275/q)/(-17). Solve -3/7 - y*b**3 + 27/7*b**2 + 3/7*b = 0 for b.
-1/3, 1/3, 1
Let n(m) be the second derivative of -m**5/10 + 14*m**4/3 - 160*m**3/3 - 3379*m. Determine d so that n(d) = 0.
0, 8, 20
Let y(r) be the third derivative of 6*r**7/35 - 29*r**6/30 - 59*r**5/5 + 29*r**4/6 + 112*r**3 + 3*r**2 + 2*r - 42. Solve y(w) = 0.
-3, -1, 1, 56/9
Let a(c) be the first derivative of -3/8*c**4 - c**2 + c**3 + 0*c - 18 + 1/20*c**5. Factor a(n).
n*(n - 2)**3/4
Let g = 1816 - 1812. Let w(o) be the second derivative of -18*o + 0 - g*o**2 + 1/5*o**5 - 2/3*o**3 + 2/3*o**4. Factor w(a).
4*(a - 1)*(a + 1)*(a + 2)
Let d(i) be the third derivative of 1/168*i**7 - 1/1344*i**8 + 0 + 11/48*i**4 - 1/3*i**3 + 54*i**2 - 1/480*i**6 - 17/240*i**5 + 0*i. Factor d(a).
-(a - 4)*(a - 1)**3*(a + 2)/4
Let z = -205833 + 1852523/9. Solve -8/9*b**3 - 10/9 - z*b**2 - 28/9*b = 0.
-5/4, -1
Let r(z) = -z + 5. Let c be r(-3). Suppose 12*l - 16*l = -c. Determine j, given that 3*j**l - 23*j + 5*j + 17 + 6 + 4 = 0.
3
Let b = -65 - -67. Factor -4*u**3 + 48*u - u**2 + 29*u**b + 4*u**2 - 4*u**4.
-4*u*(u - 3)*(u + 2)**2
Let j = 5165 - 5161. Let h(l) be the first derivative of 19 - 27/4*l**j + 20*l**3 + 0*l - 6*l**2. Factor h(p).
-3*p*(p - 2)*(9*p - 2)
Let j(b) be the second derivative of b**4/42 + 4520*b**3/21 + 5107600*b**2/7 + 3907*b + 1. Solve j(d) = 0 for d.
-2260
Suppose x + 12 = 2*x. Let r be ((-18)/4 + 3)*-2. Factor 2*c**3 - 9*c**3 + r*c**5 + 6*c**3 - x*c**4 - 6*c**2 + 16*c**3.
3*c**2*(c - 2)*(c - 1)**2
Let i be 37 + (-25280)/4224*6. Factor -i*l + 2/11*l**2 + 18/11.
2*(l - 3)**2/11
Let b be ((-15)/10)/(6/184). Let u = -43 - b. What is k in 47*k**2 - 25*k**2 + 2*k**5 - 23*k**2 + u*k**4 = 0?
-1, 0, 1/2
Suppose 2*h + q + 41 - 224 = 0, 4*q + 63 = -3*q. Factor -18*d**2 + 210*d**3 - 240*d + 147/2*d**4 + h.
3*(d + 2)**2*(7*d - 4)**2/2
Let j be -1 - -2 - 150/18*-3. Suppose 34*p - 32 = j*p. Factor 0*b**3 - 9/2*b**2 + 0 - 3*b + 3/2*b**p.
3*b*(b - 2)*(b + 1)**2/2
Let l(q) = -5*q**2 + 8*q + 6. Let s(w) be the first derivative of -2*w**3/3 + w**2/2 + 61. Let m(h) = -l(h) + 3*s(h). Let m(u) = 0. Calculate u.
-3, -2
Let b(p) be the second derivative of p**4/132 + 701*p**3/33 + 491401*p**2/22 + 803*p. Find h, given that b(h) = 0.
-701
Let i(d) be the second derivative of 1/6*d**4 - 3 + 64*d**2 - 8*d + 16/3*d**3. Factor i(j).
2*(j + 8)**2
Let h(m) be the second derivative of m**5/20 + 7*m**4/3 - 34*m**3 - 3045*m. Factor h(j).
j*(j - 6)*(j + 34)
Let u = -2570 - -2573. Let t(g) be the first derivative of 0*g + 0*g**u - 7 + 2/45*g**5 + 1/6*g**4 - 4/9*g**2. Factor t(d).
2*d*(d - 1)*(d + 2)**2/9
Let x(b) be the third derivative of -2*b**2 - 1/108*b**4 - 1/540*b**5 + 1/18*b**3 + 0*b + 31. Factor x(a).
-(a - 1)*(a + 3)/9
Let t(f) = 16*f - 144. Let v(h) = 16*h + 185. Let j be v(-11). Let y be t(j). Factor y - a**2 - 2/3*a.
-a*(3*a + 2)/3
Let d(p) be the third derivative of p**6/1260 + 9*p**5/140 - 29*p**4/42 + 13*p**3/6 + 13*p**2 - 3. Let z(f) be the first derivative of d(f). Solve z(m) = 0.
-29, 2
Let 0 + 1/2*m**4 - 44*m - 2*m**2 + 11*m**3 = 0. What is m?
-22, -2, 0, 2
Let v(w) be the second derivative of -1/42*w**4 + 0 + 0*w**3 - 59*w + 1/105*w**6 + 0*w**5 + 0*w**2. Factor v(u).
2*u**2*(u - 1)*(u + 1)/7
What is j in 4094*j + 1/2*j**3 + 6348 - 365/4*j**2 = 0?
-3/2, 92
Solve -276/7*h**3 - 1290/7*h - 1172/7*h**2 - 2/7*h**5 + 54/7*h**4 - 450/7 = 0.
-1, 15
Let w = 69588 + -347936/5. Factor 64/5*k + 0 + w*k**2.
4*k*(k + 16)/5
Let r = -3428 + 3432. Let w = 3 + -2. Let x(i) = 5*i**3 + i**2 - 5*i + 31. Let f(z) = -z**3 - z**2 - z - 1. Let j(m) = r*f(m) + w*x(m). Factor j(c).
(c - 3)**2*(c + 3)
Let l = -861 - -854. Let k be (-78)/819*l/1. Suppose 0 + 4/3*b - k*b**2 - 2/3*b**3 = 0. Calculate b.
-2, 0, 1
Let y(k) be the second derivative of -k**4/3 - 2*k**3 + 216*k**2 + 3846*k. Factor y(a).
-4*(a - 9)*(a + 12)
Let m = -1328/21 - -191/3. What is f in 0*f**2 - m*f**3 + 0 + 3/7*f = 0?
-1, 0, 1
Factor 8*i**2 - 4 - 10/3*i**3 - 2/3*i.
-2*(i - 2)*(i - 1)*(5*i + 3)/3
Suppose -5*g**2 - 2*g**2 - 155*g**3 - 21*g**2 + 159*g**3 - 912*g = 0. What is g?
-12, 0, 19
Suppose 6*p = 1401 - 5511. Let z = 4825/7 + p. Factor -2*g**4 + 4/7 + 38/7*g**3 - z*g**2 + 2/7*g.
-2*(g - 1)**3*(7*g + 2)/7
Let y(v) be the first derivative of 2*v**3/21 - 65*v**2/7 + 224*v + 3949. Find h, given that y(h) = 0.
16, 49
Let l = 37151 - 37149. Find t such that 6/11*t + 0 - 14/11*t**l + 10/11*t**3 - 2/11*t**4 = 0.
0, 1, 3
Let s(o) = 84*o**2 - 180*o - 397. Let y(l) = -13*l**2 + 30*l + 66. Let h(g) = -6*s(g) - 39*y(g). Factor h(f).
3*(f - 32)*(f + 2)
Let a be (11 - 12) + (-19)/(-19). Suppose 8/17*x + a - 54/17*x**3 + 24/17*x**2 + 4/17*x**4 + 18/17*x**5 = 0. Calculate x.
-2, -2/9, 0, 1
Let j(c) be the third derivative of -2*c**6/45 - 5*c**5/6 - c**4 + 13*c**3 + 166*c**2. Let f(h) be the first derivative of j(h). Suppose f(p) = 0. What is p?
-6, -1/4
Suppose 0 = -4*c + 4*j, -5*j + 28 = 7*c - 5*c. Let k be -1*(-2 + -5 + 186/30). What is t in k*t**2 + 24/5*t**c + 0*t + 2*t**5 + 18/5*t**3 + 0 = 0?
-1, -2/5, 0
Suppose 3*m = -3*t - 9, 16 = -2*t - 0*t - 4*m. Suppose -4*n - 2*c + 2 = -14, -t*n + 12 = 3*c. Factor -24/13*y - 12/13*y**2 - 2/13*y**n - 16/13.
-2*(y + 2)**3/13
Let j = 283/20 + -14. Let n(o) be the second derivative of 9/2*o**3 + j*o**5 + 0*o**2 - 16*o - 3/2*o**4 + 0. Factor n(m).
3*m*(m - 3)**2
Let v(n) be the second derivative of -5*n**6/18 - 3*n**5/4 + 23*n**4/3 + 118*n**3/9 + 8*n**2 + 1604*n. Find b, given that v(b) = 0.
-4, -2/5, 3
Let x(a) = -2*a**2 - 1186*a + 2. Let f be x(0). Suppose 0*v + 0 + 5/4*v**f - 1/4*v**3 = 0. What is v?
0, 5
Let u(g) = -9*g**3 + 4676*g**2 - 1806528*g + 233644283. Let q(a) = -26*a**3 + 14024*a**2 - 5419584*a + 700932850. Let v(x) = -5*q(x) + 14*u(x). Factor v(s).
4*(s - 388)**3
Let r(y) be the third derivative of -1/16*y**4 - 1/20*y**5 + 0*y - 1/80*y**6 - 95*y**2 + 0*y**3 + 0. Determine s so that r(s) = 0.
-1, 0
Let a(t) be the second derivative of t**4/4 - 147*t**3/2 + 1269*t**2 + 7*t - 87. Let a(l) = 0. Calculate l.
6, 141
Suppose -2*m = -2*n + 3*m - 1, -3 = -3*m. Let 5*x**2 + 2005*x**3 + 5*x**n + 75*x - 2010*x**3 = 0. What is x?
-3, 0, 5
Suppose 0 = 3*o - 28 + 25. Let b be 4/(12/(6/o)). Factor 0*n + 3*n**b + 0 - 3/5*n**3.
-3*n**2*(n - 5)/5
Let b(k) be the third derivative of 0*k + 10*k**3 + 1/20*k**5 + 44*k**2 - 21/8*k**4 + 0. What is r in b(r) = 0?
1, 20
Let -368/15*d**3 + 74/3*d**2 - 2/15*d**4 + 0*d + 0 = 0. What is d?
-185, 0, 1
Let k(s) = s**3 - 10*s**2 + 13*s + 4. Let z be k(9). Suppose -2*m + z = 36. Factor -3*n**3 - 349*n + 384*n - 10*n**m - 20 - 2*n**3.
-5*(n - 1)**2*(n + 4)
Let i(k) = 2*k**2 - 10*k - 6. Let v(y) = 2*y. Suppose -196 - 68 = -12*x. Let w be (8/(-14))/(x/(-77)). Let m(u) = w*i(u) + 6*v(u). Find b, given that m(b) = 0.
-1, 3
Let g(r) be the first derivative of -3*r**3/5 + 1029*r**2/10 + 138*r - 1915. Find t, given that g(t) = 0.
-2/3, 115
Let i = -23166 + 347494/15. Let m(q) be the second derivative of 4*q + 2/3*q**3 + 0 - i*q**6 - 3/5*q**5 + 0*q**2 + 0*q**4. Factor m(r).
-4*r*(r + 1)**2*(2*r - 1)
Let h(z) be the first derivative of -1/3*z**3 + 122 + 22*z**2 - 484*z. Suppose h(m) = 0. Calculate m.
22
Factor 1/6*n**2 - 5/2*n + 0.
n*(n - 15)/6
Let m be (-8 + (-35)/(-4))*4. Suppose 7*r + 3 = -m*h + 10*r, 5*r - 26 = -2*h. Find f, given that 3/5 - 27/5*f + 72/5*f**2 - 48/5*f**h = 0.
1/4, 1
Let w(y) be the third derivative of -y**7/4200 + y**6/240 - y**5/50 + 7*y**4/4 + 14*y**2 - 3*y. Let v(m) be the second derivative of w(m). Factor v(k).
-3*(k - 4)*(k - 1)/5
Find r such that -800/9 - 256/3*r - 2/9*r**4 + 82/9*r**2 + 16/3*r**3 = 0.
-4, -1, 4, 25
Let f = 1039 - 1032. Let n(p) be the third derivative of 0 + 0*p - 1/16*p**6 + f*p**2 + 5/672*p**8 + 0*p**3 + 0*p**7 + 0*p**4 - 1/12*p**5. Factor n(q).
5*q**2*(q - 2)*(q + 1)**2/2
Let a = 857 - 791. Let p be (-2)/10 + 5/(150/a). Factor 64/5 - 108/5*u**p + 14/5*u**3 + 192/5*u.
2*(u - 4)**2*(7*u + 2)/5
Let f(r) = -12*r**3 - 123*r**2 + 1821*r + 10686. Let m(v) = -3*v**3 - 30*v**2 + 456*v + 2672. Let t(y) = 8*f(y) - 33*m(y). Factor t(o).
3*(o - 14)*(o + 8)**2
Let t(x) be the thir