(-267)/(-9). Let -15 + i*k**2 - k + 28*k - 83*k**2 = 0. What is k?
-5, 1/2
Let t = 233 - 224. Factor 31 - 3*y**4 - 12*y + t*y**3 - 7 + 6*y**2 - 24*y.
-3*(y - 2)**2*(y - 1)*(y + 2)
Let c(j) be the third derivative of j**5/15 + 113*j**4/3 + 896*j**3/3 + 1246*j**2. Suppose c(s) = 0. Calculate s.
-224, -2
Let d(x) be the second derivative of x**5/4 + 65*x**4/6 + 115*x**3/6 - 125*x**2 - 209*x - 5. Factor d(k).
5*(k - 1)*(k + 2)*(k + 25)
Let z(g) be the third derivative of g**7/315 + g**6/12 + 7*g**5/30 - 71*g**4/36 - 26*g**3/3 + 6*g**2 + 9. Solve z(p) = 0 for p.
-13, -3, -1, 2
Suppose 121 + 227 = -6*p. Let l = 2 - p. Factor 4*z - 9*z**2 - l - 39*z + 4*z**2.
-5*(z + 3)*(z + 4)
Factor 756/5 - 201/5*q + 3/5*q**2.
3*(q - 63)*(q - 4)/5
Let n(r) be the first derivative of -4/27*r**3 + 1/27*r**6 + 0*r + 0*r**5 + 0*r**2 + 63 - 1/6*r**4. Let n(z) = 0. What is z?
-1, 0, 2
Find p, given that 191668 - 235256 - 10150*p - 3053386 - 2708553 - 5*p**2 + 654402 = 0.
-1015
Let f(y) be the third derivative of y**7/420 - 13*y**6/90 + 169*y**5/60 + 24*y**3 + 4*y**2 + 7. Let z(q) be the first derivative of f(q). Factor z(x).
2*x*(x - 13)**2
Let d(i) = -4*i**3 - 22*i**2 + 14*i. Let o(t) = t**2 + 31*t - 67. Let z be o(-33). Let w(f) = f**3 + f**2. Let y(v) = z*d(v) - 6*w(v). Factor y(m).
-2*m*(m - 7)*(m - 1)
Suppose -12*t - 5540 = -7*t. Let p = 4453/4 + t. Factor -3/2*n - p*n**2 + 0.
-3*n*(7*n + 2)/4
Let i(m) be the first derivative of 4*m**5/5 + 111*m**4 - 1372*m**3/3 - 222*m**2 + 1368*m + 3578. Let i(a) = 0. What is a?
-114, -1, 1, 3
Let u be 1 - 5 - (-14 + 3 + 10). Let y be -1 - 7*1/u. Find o, given that -1/3*o**4 + 2/3*o**3 - y*o + o**2 - 4/3 = 0.
-1, 2
Let p(v) be the first derivative of 25 + 0*v + 5/3*v**3 + 55/2*v**2 - 55/4*v**4 - v**5. Factor p(d).
-5*d*(d - 1)*(d + 1)*(d + 11)
Let u = -706929 + 706932. Factor 3/2 - 11/2*n**2 + 7/2*n**u + 1/2*n.
(n - 1)**2*(7*n + 3)/2
Let a be 3*4*(-15)/18. Let o = a - -13. What is c in 15 + 26*c**2 + 10*c**2 - 15*c**2 - 33*c - 3*c**o = 0?
1, 5
Let h(m) be the second derivative of m**5/20 - 11*m**4/12 - 20*m**3/3 - 14*m**2 - 2*m + 387. What is p in h(p) = 0?
-2, -1, 14
Let m be ((-189)/(-42))/((-1610)/(-736) - (-1)/16). Determine p, given that p**m + 0 - p**4 - 1/2*p**3 + 0*p + 1/2*p**5 = 0.
-1, 0, 1, 2
Let x(q) be the third derivative of 3/80*q**6 + 0*q**3 + 62*q**2 + 0 - 1/140*q**7 + 0*q**5 - 1/4*q**4 + 0*q. Factor x(c).
-3*c*(c - 2)**2*(c + 1)/2
Let o = -114 + 116. Let v(t) = -151*t**2 + 150*t**2 - 1 + 2*t**3 - t**3 + o. Let a(n) = 2*n**2 - 2*n - 2. Let c(r) = -2*a(r) - 4*v(r). Factor c(g).
-4*g*(g - 1)*(g + 1)
Suppose 648/7*i + 0 + 90/7*i**3 + 459/7*i**2 + 3/7*i**4 = 0. What is i?
-24, -3, 0
Let x(o) be the first derivative of o**5/2 + 4529*o**4/8 + 227859*o**3 + 34361107*o**2 - 13771804*o - 2398. Let x(a) = 0. Calculate a.
-302, 1/5
Let j(q) = q**4 - q**3 - q**2 - q + 4. Let n(f) = -5*f**4 + 26*f**3 + 29*f**2 + 2*f - 8. Let k(h) = -2*j(h) - n(h). Factor k(z).
3*z**2*(z - 9)*(z + 1)
Suppose -m = 2*y - 112, -4*y - 100 = 11*m - 12*m. Determine u so that 118*u - 3 - 217*u + m*u - 9*u**2 + 3*u**3 = 0.
1
Let i(f) be the third derivative of -3*f**8/112 + 29*f**7/70 - 37*f**6/20 + 11*f**5/5 + 3*f**4 + 2*f**2 + 2696. Solve i(b) = 0.
-1/3, 0, 2, 6
Let j(x) be the first derivative of 0*x**3 - 123 - 12/55*x**5 + 5/33*x**6 + 0*x + 0*x**2 + 1/22*x**4. Solve j(p) = 0 for p.
0, 1/5, 1
Let l(q) be the second derivative of -q**4/3 + 1888*q**3/3 - 445568*q**2 + 7496*q. Solve l(h) = 0.
472
Let -8*v + 3*v**3 + 398 - 5*v**3 - 26*v - 342 - 20*v**2 = 0. Calculate v.
-7, -4, 1
Let z = 322 - 283. Let d be (-16)/52*z/(-6). Determine c so that -d - 8/3*c**3 + 2/3*c**4 + 4/3*c**2 + 8/3*c = 0.
-1, 1, 3
Let x(d) = -12*d**2 + 375*d + 5. Let v(m) = 14*m**2 - 374*m - 6. Let r(f) = 5*v(f) + 6*x(f). Find t such that r(t) = 0.
0, 190
Let z(o) be the second derivative of o**6/10 - 3*o**5/4 - 3*o**4/2 - o + 60. Factor z(i).
3*i**2*(i - 6)*(i + 1)
Suppose -3*t + 2*g - 16 = 0, -8113*t + 8110*t = 5*g - 61. Suppose 1/2 + 5/6*j**t + 1/6*j**3 + 7/6*j = 0. What is j?
-3, -1
Let s be 16/(-4)*(78/(-12) + 6). Let b(q) be the third derivative of -5/4*q**4 + 0*q**3 + 7/12*q**5 + 0 + 2*q**s + 0*q. Find x, given that b(x) = 0.
0, 6/7
Find c such that 72/5*c + 1944/5 + 2/15*c**2 = 0.
-54
Let h(l) be the second derivative of 1/18*l**3 - 5/6*l**2 + 5/36*l**4 + 1 + 25*l - 1/60*l**5. Factor h(f).
-(f - 5)*(f - 1)*(f + 1)/3
Let d(w) be the first derivative of -w**6/30 - 534*w**5/25 - 70753*w**4/20 + 47704*w**3/5 - 35912*w**2/5 - 1637. Let d(i) = 0. Calculate i.
-268, 0, 1
Suppose 20*s - 356 = 384. Suppose 34*t = s*t. Suppose -3/2*y**3 + t*y + 0 - 3/2*y**2 = 0. What is y?
-1, 0
Factor -204*z**2 - 56 + 92*z + 4*z**3 + 86*z**2 + 78*z**2.
4*(z - 7)*(z - 2)*(z - 1)
Let l(m) be the first derivative of -2*m**3/63 + 47*m**2/21 + 520*m/7 + 5416. Let l(c) = 0. What is c?
-13, 60
Let f be 19 + -1 + (-3)/(-3). Suppose 0 = 5*m - 10, 5*j = -2*m - 3*m + 35. Factor 15 - j*b + f - 5*b**2 - 24.
-5*(b - 1)*(b + 2)
Let z(l) = l**2 - 830*l - 7551. Let m be z(-9). Factor -2/7*g + m*g**2 + 0 + 2/7*g**3.
2*g*(g - 1)*(g + 1)/7
Let l(b) = 87*b**3 + 1674*b**2 - 3349*b + 1683. Let q(n) = 17*n**3 + n + 1. Let o(v) = -l(v) + 5*q(v). Let o(x) = 0. Calculate x.
-839, 1
Let b(s) be the second derivative of 2*s**7/21 - 4*s**6/3 + 22*s**5/5 + 28*s**4/3 - 110*s**3/3 - 100*s**2 - 4287*s. Find f, given that b(f) = 0.
-1, 2, 5
Let k be 12*(-16)/256*(1 - 357/351). Let l(q) be the second derivative of 1/13*q**3 - k*q**4 + 4/13*q**2 + 0 - 6*q. Find n, given that l(n) = 0.
-1, 4
Suppose -5*u + 39 = 8*u. Factor 0 + m**2 + 15*m**4 + 0 - 3*m**u + 3*m - 16*m**2.
3*m*(m - 1)*(m + 1)*(5*m - 1)
Let d(b) be the first derivative of -40/3*b**3 - 24/5*b**5 - 64 + 2/3*b**6 + 12*b**4 + 6*b**2 + 0*b. Solve d(h) = 0 for h.
0, 1, 3
Let s(c) = -3*c + 35. Let p be s(12). Let d be p/(-5) + (-18)/240*-8. Factor 2/5*f**3 + d*f**2 - 6/5*f + 0.
2*f*(f - 1)*(f + 3)/5
Let c(p) = 2*p + 11. Let g be c(12). Let r be (-21)/6*(-5 + 155/g). Factor -1/2 - 1/2*s**3 + 1/2*s + 1/2*s**r.
-(s - 1)**2*(s + 1)/2
Let y(h) be the first derivative of -1/30*h**6 + 7/10*h**2 + 1/10*h**4 - 58 - 2/25*h**5 + 2/5*h + 8/15*h**3. Solve y(r) = 0.
-1, 2
Let m(n) be the third derivative of 0 + 0*n**4 + 2*n**2 + 2/3*n**3 - 27*n - 1/15*n**5. Solve m(j) = 0 for j.
-1, 1
Let q be (-26901)/(-2484) + 6/(-6). Let d = 119/12 - q. Find k such that 0*k**2 + 0*k**3 + 0 + 2/23*k**5 - d*k**4 + 0*k = 0.
0, 1
Suppose -5423 - 6089 = -4*p + c, -5766 = -2*p + 3*c. Factor 2953*n**2 - 20*n - p*n**2 + 8*n + 10*n**3 - 20*n.
2*n*(n + 8)*(5*n - 2)
Let s(w) = -16090*w - 16088. Let m be s(-1). Factor 3/7*q**3 - 36/7 + 18/7*q**m + 15/7*q.
3*(q - 1)*(q + 3)*(q + 4)/7
Let k = -82723/2 - -41369. Find c, given that 0 - 3/4*c**2 + k*c = 0.
0, 10
Suppose -3*v + 4 = -4*p, 5*v - 2*p = 14 + 16. Let m be ((-32)/18)/v + 20/9. Factor -3*o**m - 2*o**2 + o + o**3 + 3*o**2.
o*(o - 1)**2
Let f(u) be the first derivative of 13*u**3/3 - 597*u**2/2 + 22503*u + 295. Let g(w) = 23*w**2 - 1195*w + 45005. Let m(n) = 5*f(n) - 3*g(n). Solve m(z) = 0.
75
Let f(n) = -10*n**4 + 154*n**3 - 400*n**2 - 12*n + 552. Let m(c) = 9*c**4 - 153*c**3 + 402*c**2 + 12*c - 552. Let a(w) = 6*f(w) + 7*m(w). Factor a(k).
3*(k - 46)*(k - 2)**2*(k + 1)
Let a(w) be the third derivative of -71/30*w**5 + 29/66*w**6 - 29/11*w**4 + 0 - 12/11*w**3 + 0*w - 5/231*w**7 + 128*w**2. Solve a(z) = 0.
-1/5, 6
Let y(h) = -2*h**2 - 37*h - 91. Let d be y(-3). Factor 0 - 4/3*g**3 - 2/3*g**5 + 0*g + 0*g**d + 2*g**4.
-2*g**3*(g - 2)*(g - 1)/3
Let j(h) be the second derivative of -h**6/90 - 73*h**5/30 + 49*h**4/12 - h + 1113. Factor j(v).
-v**2*(v - 1)*(v + 147)/3
What is m in 0*m + 101*m**3 - 10201/2*m**2 + 0 - 1/2*m**4 = 0?
0, 101
Factor -284/3 - 280/3*v**2 - 2/3*v**3 + 566/3*v.
-2*(v - 1)**2*(v + 142)/3
Let f = 1348/5 + -5387/20. Let g(r) be the second derivative of 1/4*r**3 + 20*r + f*r**4 - 3/2*r**2 + 0 - 3/40*r**5. Solve g(a) = 0 for a.
-1, 1, 2
Let x(z) be the first derivative of -z**5/90 + 2*z**4/27 + 5*z**3/9 - 2*z**2 - 57*z - 71. Let w(v) be the first derivative of x(v). Find q such that w(q) = 0.
-3, 1, 6
Suppose 0 = -4*t + f - 81 + 376, -2*t + 135 = -3*f. Suppose -t*g**3 + 316*g**2 + 9*g**4 - 92*g - 460*g**2 + 32*g = 0. What is g?
-1, -2/3, 0, 10
Let r(p)