 = 5*n**2 + 145*n + 490. Let c = 16 - 18. Let t be ((c - -3) + 4)*-1*1. Let b(y) = t*p(y) - 3*x(y). Factor b(r).
-5*(r + 7)**2
Let k(n) = -16*n**3 - n**2 + 2 + 7*n**2 - 3*n**4 + 13*n**4 - 2*n**5. Suppose 541*t = 565*t - 96. Let i(h) = h**2 - 1. Let o(z) = t*i(z) + 2*k(z). Factor o(u).
-4*u**2*(u - 2)**2*(u - 1)
Let l(g) be the second derivative of -14/9*g**4 - 2/3*g**2 + 5*g + 17/9*g**3 - 4 + 13/30*g**5. Factor l(u).
2*(u - 1)**2*(13*u - 2)/3
Let q(r) be the third derivative of r**5/30 - 185*r**4/12 - 374*r**3/3 + 7*r**2 + 88*r. Let q(x) = 0. What is x?
-2, 187
Let m(s) be the second derivative of -s**5/30 - s**4/2 - 8*s**3/3 + 61*s**2/2 + 34*s. Let i(r) be the first derivative of m(r). Find y, given that i(y) = 0.
-4, -2
Let y = 370 + -369. Suppose -10*f - y = -14*f + s, -3*f - 3 = 3*s. Factor 18/5*w + 2/5*w**3 + f - 12/5*w**2.
2*w*(w - 3)**2/5
Factor 75*l + 57*l**4 + 182*l**3 - 470*l**2 + 52*l**3 + 27*l**4 + 698*l**2 + 3*l**5.
3*l*(l + 1)**3*(l + 25)
Find j such that -253 + 560*j**2 - 187 - 561*j**2 - 441*j = 0.
-440, -1
Suppose 37*f**2 + 120 + 156 + 136 - 439 + 4*f**3 + 6*f = 0. What is f?
-9, -1, 3/4
Factor -2/7*d**2 - 20/7*d - 48/7.
-2*(d + 4)*(d + 6)/7
Let f(u) be the second derivative of -25*u**7/14 + 22*u**6 - 123*u**5/5 + 8*u**4 + 467*u. Factor f(z).
-3*z**2*(z - 8)*(5*z - 2)**2
Let v = 30760/46131 + -2/15377. Solve 0*r - v*r**4 + 0*r**3 + 2/3*r**2 + 0 = 0 for r.
-1, 0, 1
Let m(j) = j**2 + j + 1. Suppose 23*f + 4 = 25*f. Let i(b) = -99 - 11*b + 94 + 5*b**2 + f*b - b. Let z(g) = -i(g) + 10*m(g). What is x in z(x) = 0?
-3, -1
Let f(s) = 25*s**3 + 180*s**2 + 295*s + 115. Let a(u) = 13*u**3 + 89*u**2 + 146*u + 58. Let n(g) = 5*a(g) - 2*f(g). Factor n(j).
5*(j + 2)*(j + 3)*(3*j + 2)
Let s(q) be the second derivative of q**4/12 - 61*q**3/3 + 456*q**2 - 2*q + 306. What is k in s(k) = 0?
8, 114
Let n be (-1)/((-16)/34) - -6. Let l = n + -63/8. What is s in -1/8*s - l + 1/4*s**2 + 1/8*s**3 = 0?
-2, -1, 1
Let b = 1195 - 789. Let p = -406 + b. Factor 0 + 2/5*h**2 + p*h.
2*h**2/5
Suppose -67 = 5*a + 4*v, -3*v = -0*a + 4*a + 53. Let b = 14 + a. Find f such that 27*f - 2 - 49*f**b - 43*f**3 - 84*f**2 + 43*f**3 = 0.
-2, 1/7
Let n = -163 - 626. Let z = n - -791. Solve 72/5 + 24/5*k + 2/5*k**z = 0 for k.
-6
Let z = 5 - 0. Suppose -3*o = -z*o - 4*r + 228, 3*o + 3*r - 333 = 0. Factor -o*p - 6*p**3 + 54 + 0*p**4 + 72*p**2 + 2*p**4 - 11*p**3 - 3*p**3.
2*(p - 3)**3*(p - 1)
Let g(i) = 27 - 7*i**3 + 11*i - 8*i**2 - 66*i + 41*i**2. Let j(l) = -15*l**3 + 65*l**2 - 110*l + 55. Let n(t) = 5*g(t) - 2*j(t). Factor n(y).
-5*(y - 5)*(y - 1)**2
Let j(b) be the first derivative of b**5/180 - 19*b**4/36 + 361*b**3/18 + 16*b**2 + 62. Let r(m) be the second derivative of j(m). Factor r(i).
(i - 19)**2/3
Let f(a) be the first derivative of -4*a + 9/10*a**5 + 19/2*a**2 - 36 - 19/4*a**4 - 1/6*a**3. Determine u, given that f(u) = 0.
-1, 2/9, 1, 4
Let s(m) = -7*m + 51. Let g(d) = -d**2 - 9*d - 13. Let r be g(-4). Let x be s(r). Factor -3*b**2 - 11*b**4 + 36*b**3 + 7*b**4 + 32 - 36*b - 25*b**x.
-4*(b - 8)*(b - 1)**2*(b + 1)
Suppose -3*b = c - 49 + 45, 0 = -5*b + 2*c + 25. Let -15*m**2 - 13 + b*m + 46 - 21 = 0. What is m?
-4/5, 1
Let c(q) be the third derivative of -q**7/525 + 11*q**6/150 - 97*q**5/150 - 22*q**4/5 - 48*q**3/5 - 857*q**2. Factor c(b).
-2*(b - 12)**2*(b + 1)**2/5
Let m(i) be the first derivative of 10*i**6/3 - 1536*i**5/5 + 1403*i**4 - 1552*i**3 - 584*i**2 - 5932. Find u such that m(u) = 0.
-1/5, 0, 2, 73
Let y(p) = 43*p - 1225. Let s be y(-7). Let r = s + 1540. Let 2/9*d**3 - 10/3*d**2 - 98/9 + r*d = 0. What is d?
1, 7
Let y(l) be the first derivative of -5*l**6/18 - 88*l**5/3 + 445*l**4/12 - 1315. Factor y(c).
-5*c**3*(c - 1)*(c + 89)/3
Factor -54288/5*v - 467/5*v**2 + 54756/5 - 1/5*v**3.
-(v - 1)*(v + 234)**2/5
Let x(a) be the third derivative of a**5/270 + 34*a**4/27 + 133*a**3/9 - a**2 - 1930. Determine p so that x(p) = 0.
-133, -3
Let o be 38/95*(6 + -1). Let 5*w**2 + 17*w**o - 10*w**4 - 4*w**5 - 43*w + 47*w - 12*w**2 = 0. Calculate w.
-2, -1, -1/2, 0, 1
Let h be 2/113 + 262774/41923. Let -4/7*l**5 - h*l + 8/7*l**2 + 48/7*l**3 + 16/7*l**4 - 24/7 = 0. What is l?
-1, 1, 6
Let y(w) = -w + 1. Let k be y(-1). Let h(z) = z**2 + 6*z - 3. Let n(b) = -7*b + 8*b + 24*b - 5 + 4*b**2 - 6. Let i(a) = k*n(a) - 9*h(a). Solve i(s) = 0 for s.
-5, 1
Let g(z) be the first derivative of z**3/3 - z**2/2 - 8*z + 14. Let i be g(5). Let 281*j**3 - 296*j**3 - 5*j**2 + 5*j**4 + i*j + 3*j = 0. Calculate j.
-1, 0, 1, 3
Let m(r) be the third derivative of -r**6/40 + 1251*r**5/20 - 521667*r**4/8 + 72511713*r**3/2 + 776*r**2. Suppose m(l) = 0. Calculate l.
417
Let o(x) = -x**4 + 36*x**3 + 117*x**2 - 4*x + 2. Let b(q) = -2*q + 1. Let i(s) = -6*b(s) + 3*o(s). Let i(k) = 0. What is k?
-3, 0, 39
Let v(s) be the third derivative of -s**7/210 - 7*s**6/60 - 11*s**5/60 + 13*s**4/12 - 254*s**2. Solve v(n) = 0.
-13, -2, 0, 1
Let d(l) = 3*l**3 - 9*l**2 - 144*l - 222. Let s(p) = -p - 1. Let v(o) = -d(o) + 6*s(o). Factor v(a).
-3*(a - 9)*(a + 2)*(a + 4)
Let w = -21109 - -21114. Let -2/3 + 20/3*b**3 + 10/3*b - 20/3*b**2 + 2/3*b**w - 10/3*b**4 = 0. What is b?
1
Let q be (-2*(-5)/(-10))/(3/(-33)). Suppose 2*h - q*s = -9*s, 2*h = s + 3. Solve 1/2 + l**2 + l**h - 3/2*l + 1/2*l**5 - 3/2*l**4 = 0.
-1, 1
Let f(w) be the first derivative of -2*w - 1/2*w**4 - 2*w**3 - 84 - 3*w**2. Factor f(r).
-2*(r + 1)**3
Let v(k) be the second derivative of 2*k**6/15 - 12*k**5/5 + 14*k**4 - 104*k**3/3 + 42*k**2 + 3235*k. Solve v(a) = 0.
1, 3, 7
Let z = 328 - 1639/5. Let w(k) be the third derivative of 0*k**4 + 0 + 0*k + 5*k**2 - z*k**5 + 1/2*k**3. Factor w(y).
-3*(2*y - 1)*(2*y + 1)
Suppose 6 - 2 - 1 = s. Let k(m) be the first derivative of 0*m + 2/3*m**s + 1/2*m**4 - 23 + 0*m**2. Factor k(b).
2*b**2*(b + 1)
Let -973/2*s + 5/2*s**2 + 291 = 0. What is s?
3/5, 194
Let x(k) be the first derivative of k**4/14 - 16*k**3/21 - 25*k**2 + 748*k/7 - 2748. Factor x(n).
2*(n - 17)*(n - 2)*(n + 11)/7
Let c(i) be the third derivative of -i**5/12 + 5*i**3/6 + 21*i**2. Let f(n) = -2*n**2 + n + 1. Let g(a) = c(a) - 3*f(a). Factor g(r).
(r - 2)*(r - 1)
Let w = -125234 + 626176/5. Factor 3/5*v**3 - 21/5*v + w*v**2 + 12/5.
3*(v - 1)**2*(v + 4)/5
What is t in 43630683*t**3 + 19362317*t**3 - 74540*t + 6478280*t**3 + 20 + 69415365*t**2 + 17372480*t**4 = 0?
-2, 1/1864
Let d(m) = -m**3 - 8*m**2 - 8*m + 24. Let x be d(-6). Let c = -5/7 - -17/14. Factor x - 1/2*q - q**2 - c*q**3.
-q*(q + 1)**2/2
Let r = 1031637/5 + -206327. Factor 0 - 2/5*p**4 + 0*p**3 - 1/5*p**5 + 1/5*p + r*p**2.
-p*(p - 1)*(p + 1)**3/5
Let w(i) = i**3 + 7*i**2 + 12*i + 12. Let t be w(-5). Let s be 12/54 + 15*(-20)/(-108). Solve 7/2*g**s - 7/2*g - 3*g**t + 2*g**4 + 1 = 0 for g.
-2, -1, 1/4, 1
Let o(j) be the third derivative of 7*j**6/60 - j**5/10 - 7*j**4/3 + 4*j**3 + 98*j**2 - 3. Factor o(f).
2*(f - 2)*(f + 2)*(7*f - 3)
Solve 79016*a - 79016*a + 590*a**2 + 5*a**3 = 0 for a.
-118, 0
Let y(k) be the first derivative of -8*k**3 - 18 - 9*k**2 - 9*k**2 + 0*k**4 - 2*k**4 + k**4. Factor y(w).
-4*w*(w + 3)**2
Suppose -102 = 145*j - 367 - 315. Let y(l) be the first derivative of 0*l**j - 38 - 2/35*l**5 - 2/7*l + 4/21*l**3 + 0*l**2. Solve y(h) = 0 for h.
-1, 1
Let o be 138 + -130 + (-3)/(6/8). Let q(w) be the second derivative of 1/6*w**o + 1/6*w**3 + 1/20*w**5 + 0 + 0*w**2 + 12*w. Suppose q(u) = 0. Calculate u.
-1, 0
Let y(t) be the second derivative of t**4/48 - 55*t**3/24 + 125*t**2/4 - 1680*t. Factor y(u).
(u - 50)*(u - 5)/4
Let r(y) be the third derivative of y**5/12 - 105*y**4/8 - 160*y**3/3 + 1019*y**2. Determine m, given that r(m) = 0.
-1, 64
Suppose -11303 + 12435 = 566*k. Suppose -5/3*g - 1/9*g**3 - g**k + 25/9 = 0. What is g?
-5, 1
Let w(z) = -4*z**2 - 100*z + 428. Let l(a) = -4*a**2 - 106*a + 423. Let f(c) = 4*l(c) - 3*w(c). Suppose f(u) = 0. Calculate u.
-34, 3
Let j(r) be the second derivative of 2*r**4/33 - 10204*r**3/33 + 6507601*r**2/11 - 3965*r. Solve j(g) = 0.
2551/2
Factor 20*j**2 + 14*j + 15*j**2 + 12*j**2 + 21*j**2 - 60*j**2.
2*j*(4*j + 7)
Let r(l) be the second derivative of 7/4*l**2 - 7/12*l**4 + 1/20*l**5 - 1/84*l**7 - 1/12*l**3 + 7/60*l**6 - 21*l - 3. Find d, given that r(d) = 0.
-1, 1, 7
Let t(f) be the second derivative of f**8/336 - f**7/56 + f**5/6 - 5*f**