Let i be -2 - (-8 + -2 - -4). Suppose 2/3*k - 4/3*k**5 + a*k**2 + 0 - 2*k**3 - 10/3*k**i = 0. What is k?
-1, 0, 1/2
Suppose 149/2 - 1/4*f**3 - 147/4*f - 75/2*f**2 = 0. What is f?
-149, -2, 1
Let s(c) be the third derivative of 7*c**5/12 + 43*c**4/6 - 5*c**3/2 - 3574*c**2. Find g such that s(g) = 0.
-5, 3/35
Let c(b) be the first derivative of -b**5/25 - 61*b**4/5 - 14884*b**3/15 - 136. Factor c(w).
-w**2*(w + 122)**2/5
Let -4*q**4 - 6368*q**3 - 110320712523 - 3801696*q**2 - 1637453333*q + 9953403659 + 628736661*q = 0. Calculate q.
-398
Find a such that 31/4 + 3/4*a**3 - 63/4*a - 91/4*a**2 = 0.
-1, 1/3, 31
Let f be 78/208 - 6/16. Suppose f = -q + s - 8 + 3, 5 = 5*q + s. Let 2/3*u**3 + 0 + q*u**2 - 2/3*u = 0. Calculate u.
-1, 0, 1
Let p(s) be the first derivative of s**6/4 - 225*s**5/2 - 8912. Factor p(c).
3*c**4*(c - 375)/2
Let x = -63/95 + 101/95. Factor -18/5*c**2 + 48/5*c - 32/5 + x*c**3.
2*(c - 4)**2*(c - 1)/5
Let v be 3 - (-55)/10*4. Factor 21 + 38*m**3 - v - 28*m**3 - 10*m + 4*m**2.
2*(m - 1)*(m + 1)*(5*m + 2)
Let c(f) be the second derivative of f**7/21 + 7*f**6/20 + 29*f**5/40 + f**4/4 + 528*f - 1. Suppose c(l) = 0. What is l?
-3, -2, -1/4, 0
Let d = 312672 - 312672. Let d + 1/4*p**2 + p = 0. Calculate p.
-4, 0
Let t(o) be the first derivative of -4*o**2 - 1/2*o**4 + 0*o + 10/3*o**3 + 22. Determine y, given that t(y) = 0.
0, 1, 4
Let j(u) = -258*u + 131*u + 125*u + 36. Let l be j(17). Factor 2/19*i**l + 0 - 4/19*i**3 + 2/19*i**4 + 0*i.
2*i**2*(i - 1)**2/19
Let b(g) be the third derivative of g**8/1848 - 3*g**7/385 - 29*g**6/330 + 37*g**5/165 + 19*g**4/44 - 65*g**3/33 - 1411*g**2. Find w such that b(w) = 0.
-5, -1, 1, 13
Let q = -60 - -60. Let j(s) = -3*s + 4. Let h be j(q). Determine u, given that 2*u**3 - 92*u - u**h - u**2 + 92*u = 0.
0, 1
Let m(x) be the first derivative of -3*x**4/4 - 352*x**3 - 93975*x**2/2 - 183750*x + 230. Factor m(p).
-3*(p + 2)*(p + 175)**2
Let c = 20300 - 20300. Let i(k) be the third derivative of 0 + 0*k**4 - 1/40*k**5 + 0*k - 24*k**2 + c*k**3. Factor i(w).
-3*w**2/2
Let l(c) be the third derivative of -c**5/120 - 2*c**4/3 - 247*c**3/12 - 4095*c**2. Factor l(x).
-(x + 13)*(x + 19)/2
Factor 3404*t**2 - 2556 - 439513*t + 219865*t - 16*t**3 + 220512*t.
-4*(t - 213)*(t + 1)*(4*t - 3)
Let d be 12/(-3600)*(-10)/4. Let l(x) be the third derivative of 0 + 0*x**4 - 1/60*x**5 - 6*x**2 + d*x**6 + 0*x**3 + 0*x. Factor l(t).
t**2*(t - 1)
Let b be (7 + 137)/4 - 6. Let o be (-4 + 260/b)*4/7. Factor 4/3*t**2 + 0 + o*t.
4*t*(t + 2)/3
Factor -1/4*y**5 - 77/4*y**3 + 0*y - 4*y**4 - 49/2*y**2 + 0.
-y**2*(y + 2)*(y + 7)**2/4
Let j = 10/1671 + 671/167100. Let h(f) be the third derivative of 0*f - 4 - 2*f**2 + 0*f**3 + j*f**5 + 3/40*f**4. Factor h(c).
3*c*(c + 3)/5
Suppose 5*o = 2*l - 30, -o = 5*l - 9 - 12. Suppose y + l = 0, -1 = -3*k - y - 0. Factor 10*t**3 + 6*t - 5*t**k - 11*t + 5 - 5*t**3.
5*(t - 1)**2*(t + 1)
Let -177/8*r**2 + 9/8*r**4 - 39/2 - 57/2*r**3 + 69*r = 0. Calculate r.
-2, 1/3, 1, 26
Let k(u) = -12*u**2 - 304*u - 284. Let b(g) = -g**2 - 20*g - 8. Let a be b(-20). Let f(d) = 4*d**2 + 102*d + 95. Let v(o) = a*f(o) - 3*k(o). Factor v(s).
4*(s + 1)*(s + 23)
Let u(a) be the first derivative of 0*a - 52/27*a**3 + 2/27*a**6 + 7/3*a**4 + 254 - 44/9*a**2 + 52/45*a**5. Let u(m) = 0. What is m?
-11, -2, -1, 0, 1
Suppose -2*o**3 + 17*o**3 - 15*o + 9*o**2 + 12*o**3 + 0*o**3 - 374 + 377 = 0. Calculate o.
-1, 1/3
Suppose 27*r - 20 = 22*r. Solve 68*q**2 + 40 - 70*q**2 + r + 18*q = 0 for q.
-2, 11
Let y = -202 - -205. Factor 1 - 81*b**4 + 2*b**y + 80*b**4 - 1.
-b**3*(b - 2)
Let w(f) be the first derivative of -f**7/21 + f**5/10 + 125*f - 24. Let g(b) be the first derivative of w(b). Let g(x) = 0. Calculate x.
-1, 0, 1
Let r(a) be the second derivative of a**7/49 + 41*a**6/105 + 46*a**5/35 + 22*a**4/21 - 1152*a. Find g such that r(g) = 0.
-11, -2, -2/3, 0
Let b = -16660/3 + 5554. Let o(z) be the first derivative of -4*z**2 + 8*z + 9 + b*z**3. Factor o(d).
2*(d - 2)**2
Let k be 15/(-330)*-11*34. Let n(b) be the first derivative of 1/4*b**2 + 0*b + 1/8*b**4 + k - 1/3*b**3. Factor n(j).
j*(j - 1)**2/2
Let g be (-10)/20*(-10 + 5 + (-2)/2). Let m(t) be the first derivative of 72*t - 16/3*t**g + t**4 - 6*t**2 - 21. Factor m(c).
4*(c - 3)**2*(c + 2)
Let g(a) = 13*a**4 + 123*a**3 + 600*a**2 + 560*a - 1284. Let i(b) = -15*b**4 - 125*b**3 - 600*b**2 - 560*b + 1285. Let d(c) = -5*g(c) - 4*i(c). Factor d(p).
-5*(p - 1)*(p + 4)**2*(p + 16)
Let g(x) = -x**2 + 61*x - 55. Let u(d) be the second derivative of -d**4/12 + 31*d**3/6 - 14*d**2 - d - 10. Let j(s) = 2*g(s) - 5*u(s). Factor j(z).
3*(z - 10)*(z - 1)
Factor -4*z**3 + 1826*z**2 + 4008 + 166*z**2 + 25787*z + 20489*z - 40272*z.
-4*(z - 501)*(z + 1)*(z + 2)
Let r be -6 - 1 - -15*1. Factor 17*d + 0*d**2 + 4*d**2 + 11*d + 24 - r*d.
4*(d + 2)*(d + 3)
Suppose -95481*b - 1/3*b**3 + 309*b**2 + 9834543 = 0. What is b?
309
Let d(m) be the third derivative of -m**5/60 + 907*m**4/24 - 151*m**3 - 3*m**2 - 33*m - 4. Factor d(a).
-(a - 906)*(a - 1)
Determine v so that 5*v**5 - 24*v**4 - 8072*v**3 + 4110*v**3 - 488*v**2 + 260*v - 8*v**4 + 3569*v**3 = 0.
-5, -2, 0, 2/5, 13
Let z(f) be the second derivative of f**6/90 - 7*f**5/30 - 4*f**4/3 + f**3/2 - 7*f**2/2 + 55*f. Let n(p) be the second derivative of z(p). Solve n(b) = 0 for b.
-1, 8
Let d(n) = 35*n**2 - 61*n - 54. Let r(z) = 58*z**2 - 121*z - 109. Let m(o) = 15*d(o) - 9*r(o). Factor m(k).
3*(k + 1)*(k + 57)
Let s(g) = 12*g**3 - 46*g**2 - 5*g + 46. Let d(z) = 5*z**3 - 23*z**2 - 2*z + 23. Let v(i) = -3*i - 13. Let k be v(-2). Let j(w) = k*d(w) + 3*s(w). Factor j(u).
(u - 1)*(u + 1)*(u + 23)
Factor 37629*z**2 - 37632 - 283*z**3 - 389*z**3 + 753120*z**4 - 753117*z**4 + 672*z.
3*(z - 112)**2*(z - 1)*(z + 1)
What is y in 450 - 174*y**2 - 237*y**2 - 1707*y - 12*y**3 - 64*y**2 + 106*y**2 = 0?
-25, -6, 1/4
Let c = 6727 - 6727. Let u(d) be the second derivative of 4/3*d**3 - 7*d + c - 7/3*d**4 + 14/15*d**6 - 2/5*d**5 + 0*d**2. Solve u(r) = 0.
-1, 0, 2/7, 1
Suppose 3*q = 15, 4*o + 4*q = 9079 + 8625. Suppose o*l + 18 = 4430*l. What is t in -4/3*t - 1/3*t**l - 4/3 = 0?
-2
Let n be 1/4 + 1/12. Suppose -3*r = 100*u - 104*u + 26, -2 = -5*r + u. Solve n*i**2 + r + 5/3*i = 0 for i.
-3, -2
Suppose -18*x = -13*x + 3460. Let y = x - -8998/13. Factor -8/13*l - 8/13 + 2/13*l**3 + y*l**2.
2*(l - 2)*(l + 1)*(l + 2)/13
Let h(x) be the third derivative of -11/54*x**4 + 0*x + 1/540*x**6 + 202*x**2 + 1/90*x**5 - 8/9*x**3 + 0. Factor h(p).
2*(p - 4)*(p + 1)*(p + 6)/9
Let a(q) = -11*q**4 + 6200*q**3 - 1591340*q**2 - 5*q + 5. Let u(k) = 6*k**4 - 3102*k**3 + 795669*k**2 + 3*k - 3. Let j(h) = 3*a(h) + 5*u(h). Factor j(o).
-3*o**2*(o - 515)**2
Let k = -101372/87 + 33926/29. Solve -8*c**2 - k*c**3 - 32/3 + 40*c = 0.
-4, 2/7, 2
Let a(h) be the second derivative of -h**4/36 + 110*h**3/9 + 223*h**2/2 + 2489*h. Factor a(t).
-(t - 223)*(t + 3)/3
Let b(f) be the third derivative of f**6/1980 + 9*f**5/220 - 29*f**4/66 - 229*f**3/6 + 99*f**2. Let k(i) be the first derivative of b(i). Solve k(y) = 0.
-29, 2
Let 72/5 + 1/10*d**2 - 3/10*d**3 + 109/5*d = 0. What is d?
-8, -2/3, 9
Let n(c) be the third derivative of -c**5/20 + 2277*c**4/8 + 7437*c**2. Factor n(b).
-3*b*(b - 2277)
Let m(p) be the second derivative of -135*p - 13/6*p**3 + 0*p**2 - 1/12*p**4 + 0. Factor m(g).
-g*(g + 13)
Let r be -22 - ((-18)/12)/(287/4428). Find u, given that 1/7*u**2 - 20/7 - r*u = 0.
-2, 10
Let a(j) be the third derivative of -2*j + 0 + 1/42*j**3 - 1/840*j**6 - 1/56*j**4 + 1/140*j**5 + 5*j**2. Factor a(x).
-(x - 1)**3/7
Let o(j) be the first derivative of 3*j**5/5 + 9*j**4 + 30*j**3 + 42*j**2 + 27*j - 641. Factor o(v).
3*(v + 1)**3*(v + 9)
Factor -181*v**2 + 1059*v + 234 + 142*v**2 + 221*v**3 - 200*v**3 + 184*v**2 + 701*v**2.
3*(v + 1)*(v + 39)*(7*v + 2)
Let k(w) = 89*w**2 + 546*w - 1665. Let i(p) = 965*p**2 + 6005*p - 18315. Let j(q) = -6*i(q) + 65*k(q). Factor j(g).
-5*(g - 3)*(g + 111)
Let x be 83 - 68 - 6194/418. What is i in -36/11*i**2 + 192/11*i + x*i**3 - 320/11 = 0?
4, 10
Let q be (6 - 13)/(1/5). Let d = q + 37. Factor 6 - 4 + 3 - 6*x - 1 + d*x**2.
2*(x - 2)*(x - 1)
Let c(u) be the second derivative of 1/12*u**4 - 1/90*u**6 + 0*u**2 - 14*u + 0*u**5 + 1/9*u**3 - 2. Factor c(s).
-s*(s - 2)*(s + 1)**2/3
Let v(s)