12*q**2 + 2*q - 36. What is w in i(w) = 0?
-6, -2, 1, 3
Let z(h) = 4*h + 112. Let i be z(-28). Factor 27*s + i*s**2 - s + s**2 + 12*s + 361.
(s + 19)**2
Let k(t) = -t**3 - 2*t**2 - 17*t + 1. Let u(h) = 20*h**3 + 1576*h**2 + 6568*h + 6152. Let w(b) = -24*k(b) - u(b). What is r in w(r) = 0?
-2, 386
Solve -71 + 106*v - 1/4*v**3 - 139/4*v**2 = 0 for v.
-142, 1, 2
Let q(o) = 23*o - 11. Let w be q(1). Factor 3*c**3 + 67 + 3*c**4 - w*c - 100 + 0*c**4 + 57 - 18*c**2.
3*(c - 2)*(c - 1)*(c + 2)**2
Let p(i) = -11*i**3 + 2818*i**2 + 1937660*i - 1940449. Let c(m) = -4*m**3 + 11*m**2 - m. Let n(x) = -3*c(x) + p(x). Factor n(j).
(j - 1)*(j + 1393)**2
Let s(j) be the second derivative of -2/15*j**6 + 106*j - 18/5*j**5 - 94/3*j**3 + 30*j**2 + 50/3*j**4 - 1 + 2/21*j**7. Suppose s(r) = 0. Calculate r.
-5, 1, 3
Let i(u) be the second derivative of -u**7/4200 - u**6/400 - u**5/100 - 26*u**4/3 + 9*u. Let a(g) be the third derivative of i(g). Find x such that a(x) = 0.
-2, -1
Let v(p) be the third derivative of p**5/120 - 19*p**4/16 - 15*p**3 - 1731*p**2 + 2*p - 2. Factor v(n).
(n - 60)*(n + 3)/2
Let j(h) be the second derivative of 0*h**4 + 3*h - 7/80*h**5 - 1/20*h**6 + 0*h**3 + 0*h**2 + 1/168*h**7 + 3. Solve j(t) = 0.
-1, 0, 7
Factor -1480*x**2 + 8*x**3 + 1480 - 26*x**3 + 22*x**3 - 4*x.
4*(x - 370)*(x - 1)*(x + 1)
Let i be (10 + -2 + (1 - 3))*(-81)/(-18). Let o(v) be the third derivative of -3/200*v**6 + 1/15*v**3 + 0 + i*v**2 + 0*v - 13/120*v**4 + 1/15*v**5. Factor o(y).
-(y - 1)**2*(9*y - 2)/5
Suppose -423 = -5*l - 413. Suppose -l*o = 28*o. Factor -2/7*d + 4/7*d**4 - 4/7*d**2 + 2/7*d**5 + 0 + o*d**3.
2*d*(d - 1)*(d + 1)**3/7
Let p(h) = -h**4 - h**2 - h. Let w(t) = -6*t**2 + 22*t**4 - 4*t**5 + 10*t - 3*t**4 + 0*t**2 - 4*t**2 - 3*t**3. Let x(m) = -6*p(m) - w(m). Factor x(s).
s*(s - 2)**2*(s + 1)*(4*s - 1)
Let p(f) be the third derivative of f**7/210 + f**6/24 - 7*f**5/30 + 156*f**2 + f. Determine v, given that p(v) = 0.
-7, 0, 2
Let c(g) be the second derivative of -g**4/48 + 2*g**3 - 135*g**2/8 + 31*g - 3. Determine y, given that c(y) = 0.
3, 45
Solve 6/7*r**5 - 1512 - 18/7*r**4 - 486/7*r**3 + 1002/7*r**2 + 1440*r = 0 for r.
-6, 1, 7
Let p(x) be the second derivative of -x**7/42 - x**6/3 - 2*x**5 - 20*x**4/3 - 40*x**3/3 - 16*x**2 - 347*x. Factor p(t).
-(t + 2)**5
Let c(x) be the third derivative of 11*x**5/60 + 223*x**4/96 - 7*x**3/4 - 1058*x**2. Factor c(b).
(4*b + 21)*(11*b - 2)/4
Let m(g) be the second derivative of -85*g**4/12 - 5*g**3/3 + 91*g. Factor m(k).
-5*k*(17*k + 2)
Let x(a) be the second derivative of 1/5*a**6 + 0*a**2 + 0*a**3 - 11/20*a**5 - 3 - 31*a + 1/2*a**4 - 1/42*a**7. Factor x(z).
-z**2*(z - 3)*(z - 2)*(z - 1)
Let m(k) be the first derivative of 4*k**5/5 + 75*k**4 - 524*k**3 + 1114*k**2 - 960*k - 1755. What is g in m(g) = 0?
-80, 1, 3
Let i be (16/20)/((-6)/(-15)). Suppose 4*k - 6 = i*k. Suppose o**3 - 612*o**4 - o**k + 610*o**4 - 2*o**5 = 0. Calculate o.
-1, 0
Let p(m) = -212*m**4 - 424*m**3 - 208*m**2 + 128*m + 20. Let g(d) = d**4 - 11*d + 1. Let u(k) = -8*g(k) - p(k). Let u(n) = 0. Calculate n.
-1, -7/17, 1/3
Let i(j) be the second derivative of 4*j**6/15 - 3*j**5 + 19*j**4/3 - 4*j**3 + 139*j. Find m such that i(m) = 0.
0, 1/2, 1, 6
Factor 1/5*u**2 + 38/5*u + 0.
u*(u + 38)/5
Let l = -645280 - -4516961/7. Let 3/7*t + l*t**3 + 0 + 4/7*t**2 = 0. Calculate t.
-3, -1, 0
Suppose 5*w + 2*r - 60 = 3*r, -5*r - 1 = -2*w. Suppose 5*l = s - 2*s + w, -5*s + l = -39. Factor 3 + 17*g - s*g**2 + 29 - 2*g**3 - g - 2*g**3.
-4*(g - 2)*(g + 2)**2
Let v(n) = -534*n - 52330. Let m be v(-98). Let 7/4*t**5 - 8 - 24*t + 89/4*t**3 + 43/2*t**m - 27/2*t**4 = 0. Calculate t.
-1, -2/7, 1, 4
Let s(b) be the second derivative of b**7/70 + 7*b**6/40 + 4*b**5/5 + 3*b**4/2 + 26*b**2 + 34*b. Let q(r) be the first derivative of s(r). Factor q(z).
3*z*(z + 2)**2*(z + 3)
Let u(v) be the second derivative of 2*v**7/21 - 11*v**6/24 + 5*v**5/12 + 5*v**4/12 - 9*v**2/2 - 78*v. Let o(n) be the first derivative of u(n). Factor o(j).
5*j*(j - 2)*(j - 1)*(4*j + 1)
Let m(n) = -6*n**4 - n**2 - n - 1. Let o(h) = 5*h**5 - 30*h**4 - 300*h**3 + 845*h**2 - 830*h + 265. Let r(a) = 5*m(a) - o(a). Factor r(i).
-5*(i - 6)*(i - 1)**3*(i + 9)
Let a = -148783 + 148785. Let s = 7049/2935 + -1/587. Suppose -2/5*r**a + s*r - 16/5 = 0. Calculate r.
2, 4
Let l(n) be the first derivative of -11*n**4/2 + 700*n**3/3 - 2752*n**2 - 1024*n + 9139. Find h such that l(h) = 0.
-2/11, 16
Let a(k) be the first derivative of k**4/14 - 8*k**3/3 - 9*k**2/7 + 72*k - 3226. Determine j, given that a(j) = 0.
-3, 3, 28
Let c be (65*1/273)/((-4)/(-7)). Let n(l) be the second derivative of -13*l + 0 + c*l**4 + 5/6*l**3 + 0*l**2. Let n(u) = 0. Calculate u.
-1, 0
Let w(h) = -29*h + 223. Let f be w(21). Let s = f - -388. Determine u so that 2/13*u**s - 8/13 - 6/13*u = 0.
-1, 4
What is f in -43/6*f**2 + 0 + 0*f - 22/3*f**3 - 1/6*f**4 = 0?
-43, -1, 0
Let g(h) be the third derivative of h**5/180 + 79*h**4/12 + 5187*h**2. Find p, given that g(p) = 0.
-474, 0
Let s(i) be the second derivative of 152*i**2 + 1/3*i**4 - 80/3*i**3 + 19*i - 1. Factor s(f).
4*(f - 38)*(f - 2)
Let w be 24/442*24514/2163. Let -12/13*u**3 + 2/13 - w*u - 22/13*u**2 = 0. Calculate u.
-1, 1/6
Let h(i) = -i**5 + 11*i**4 - i**2 + i + 1. Let o(u) = 6*u**5 - 79*u**4 + 7*u**3 + 3*u**2 - 7*u - 7. Let b(x) = -21*h(x) - 3*o(x). Factor b(c).
3*c**2*(c - 1)**2*(c + 4)
Suppose -3*w + 13483 = 3883. Factor -q**2 + 212 - 2270 + 996 - w - 158*q - 1979.
-(q + 79)**2
Let r be (-40)/5 + (-2 - 143/(-88) - 483/(-56)). Factor -13/4*k - 3 - r*k**2.
-(k + 1)*(k + 12)/4
Let w(k) be the second derivative of k**5/20 - 13*k**4/2 + 75*k**3/2 + 1934*k. Factor w(r).
r*(r - 75)*(r - 3)
Factor -3*q**4 - 28*q**3 + 10707*q - 28*q**3 + 2*q**3 - 254536 + 13161*q - 331556 + 2409*q**2.
-3*(q - 17)**2*(q + 26)**2
Let v(w) be the first derivative of -w**8/504 + 2*w**7/63 - 5*w**6/36 + w**2 - w - 65. Let x(u) be the second derivative of v(u). Factor x(j).
-2*j**3*(j - 5)**2/3
Let w be -5 + 8/((-32)/(-28)). Let a be 8/(-6)*(93 + -94)/(1*2). Suppose -2/9*c**w + a*c - 4/9 = 0. What is c?
1, 2
Factor 13778/3*q - 166/3*q**2 - 1143574/9 + 2/9*q**3.
2*(q - 83)**3/9
Let i(x) be the third derivative of 1/840*x**7 + 0*x**3 + 0*x**4 + 0*x + 61*x**2 + 0 + 1/40*x**5 - 7/480*x**6. Find p, given that i(p) = 0.
0, 1, 6
Let w(z) be the third derivative of 27/320*z**6 + 5*z**2 - 69/160*z**5 - 1/4*z**3 - 5 + 0*z - 13/24*z**4. Factor w(x).
(x - 3)*(9*x + 2)**2/8
Let f(y) = -36*y**2 + 2044*y - 28168. Let r(i) = 4*i**2 - 227*i + 3130. Let t = -464 - -467. Let x(w) = t*f(w) + 28*r(w). Factor x(s).
4*(s - 28)**2
Let f(s) be the second derivative of -2*s**6/15 - 6*s**5/5 - 11*s**4/3 - 4*s**3 - 9945*s. Factor f(z).
-4*z*(z + 1)*(z + 2)*(z + 3)
Find h, given that 17*h**4 + 30*h**3 + 87*h**5 - 86*h**5 + 17*h**4 - 182*h**3 = 0.
-38, 0, 4
Let s(l) be the third derivative of l**6/30 - 67*l**5/15 + 371*l**4/6 - 610*l**3/3 + 49*l**2 + 2*l + 10. Factor s(m).
4*(m - 61)*(m - 5)*(m - 1)
Let t(j) be the second derivative of j**8/336 - j**6/24 - j**5/12 + 11*j**3/6 + j**2/2 + j - 60. Let c(v) be the second derivative of t(v). Factor c(h).
5*h*(h - 2)*(h + 1)**2
Let f = -139272 + 139274. Solve 6160/3*t**4 + 3872/3*t**5 + 0 + 3506/3*t**3 + 24*t + 280*t**f = 0 for t.
-6/11, -1/4, 0
Let a be 118/(-14) - (-619 + 610). Factor 64/7 + a*w**2 + 40/7*w.
4*(w + 2)*(w + 8)/7
Let s(x) = -15*x - 29. Let f be s(-2). Let k be f/3 + (-11 + 13 - 2). Determine l, given that 4 - 3*l**2 - 4/3*l - k*l**4 + 2*l**3 = 0.
-1, 2, 3
Suppose i - 5*s + 5008 + 4076 = 0, -s = -i - 9092. Let d = -26993/3 - i. Factor 0 - d*m**5 - 24*m**3 - 119*m**4 - 4/3*m**2 + 0*m.
-m**2*(m + 1)*(17*m + 2)**2/3
Let z(i) be the third derivative of 2 + 1/490*i**7 + 31/840*i**6 + 61/420*i**5 + 41/168*i**4 + 40*i**2 + 0*i + 4/21*i**3. Factor z(v).
(v + 1)**2*(v + 8)*(3*v + 1)/7
Factor 3/7*r**2 - 558/7 - 39*r.
3*(r - 93)*(r + 2)/7
Suppose -11*l = 16*l - 135. Suppose 12*o**4 + 4*o**l + 9*o**3 - 36 - 33*o**3 + 414*o**2 + 43*o + 41*o - 454*o**2 = 0. Calculate o.
-3, 1
Let g(h) be the first derivative of 1/46*h**4 + 67 + 2883/23*h**2 + 59582/23*h + 62/23*h**3. Suppose g(u) = 0. Calculate u.
-31
Suppose 0 = 3*y + 15*y - 4815252. Solve 97 - 9*z**2 - 31 + 3*z**4 - 267421*z - 33*z**3 + y*z = 0.
-1