t d(f) be the second derivative of -47/210*f**6 - 2816/21*f**3 + 359/70*f**5 - 808/21*f**4 + 4096/7*f**2 + 133*f + 1/294*f**7 + 0. What is j in d(j) = 0?
-2, 1, 16
Let w(b) be the second derivative of -2*b**6/15 + 72*b**5/5 - 22*b**4 - 704*b**3/3 - 426*b**2 - 4771*b. Suppose w(q) = 0. Calculate q.
-1, 3, 71
Let n(p) be the second derivative of -3*p**5/20 + 12*p**4 - 179*p**3/2 + 198*p**2 + 65*p - 6. Find u such that n(u) = 0.
1, 3, 44
Suppose 138*l - 45 = 129*l. Solve 3810*t**3 + 9*t - 23*t**2 - 3807*t**3 + 18*t + l*t**2 = 0.
0, 3
Suppose 0 = 8*y + 137*o - 139*o - 58, 4*y - 3*o - 71 = 0. Let 56/3*d**y - 2/15*d**3 - 1960/3*d + 0 = 0. What is d?
0, 70
Let t be (-5 - 11)*24/(-240). Factor 2/5*h - t + 1/5*h**2.
(h - 2)*(h + 4)/5
Factor 169*a**2 + 246*a + 25/2*a**3 - 1260 - 1/2*a**4.
-(a - 35)*(a - 2)*(a + 6)**2/2
Let l(m) = -m**3 - 38*m**2 + 1155*m - 286. Let y be l(-58). Find v such that 0*v - 5/2*v**2 + 0 + 43/4*v**y - 29/4*v**3 - v**5 = 0.
-1/4, 0, 1, 10
Let k(d) be the second derivative of -5/32*d**4 + 2*d - 1/2*d**3 - 3/160*d**5 + 65 - 3/4*d**2. What is c in k(c) = 0?
-2, -1
Suppose 0 = 2*w + 6*j - 8*j - 12, j = -2*w. Suppose -r + 4*y - 7 = 2, w*y = 2*r. Factor -3*f - 3*f + 3*f - 18 + 3*f**r + 9*f**2 + 9.
3*(f - 1)*(f + 1)*(f + 3)
Let l(h) be the third derivative of h**6/540 - h**5/27 + 13*h**4/108 + 8*h**3/9 - h**2 - 3. Factor l(w).
2*(w - 8)*(w - 3)*(w + 1)/9
Let n(r) = -9*r**3 - 80*r**2 - 271*r - 252. Let h(b) = 2*b**3 - 27*b + 1. Let l(o) = -2*h(o) - n(o). Let l(u) = 0. What is u?
-10, -5, -1
Let g(m) be the first derivative of -m**6/30 - m**5/4 + 13*m**4/12 - 7*m**3/6 - 24*m + 123. Let b(i) be the first derivative of g(i). Factor b(u).
-u*(u - 1)**2*(u + 7)
Let r(y) be the first derivative of 3*y**4 + 3/5*y**5 - 129 + 4*y**3 + 0*y + 0*y**2. What is u in r(u) = 0?
-2, 0
Let s = -4293 - -38639/9. Let y be (-3)/(-2) - (-78)/(-52). Factor y + s*n + 2/9*n**2.
2*n*(n + 1)/9
Let l(z) = -13*z**2 + 2*z - 2. Let r(h) = 10*h**2 - 2*h + 4. Let f(d) = -4*l(d) - 5*r(d). Find i, given that f(i) = 0.
-3, 2
Let w = -1961282/11 - -178300. Factor w*d**4 + 0 - 4/11*d + 26/11*d**2 - 40/11*d**3.
2*d*(d - 1)**2*(9*d - 2)/11
Suppose 5*a + 40 = -0*m - 5*m, 0 = -2*m. Let w be (45/6)/(-3 + (-28)/a). Determine u so that -13*u**2 + 17*u**2 + 19*u - w*u = 0.
-1, 0
Let f be (5 + -6)*(-4 + 1). Let p be (f/(-4))/(-1)*392/98. Factor -2/9*m + 0 + 1/9*m**p - 1/9*m**2.
m*(m - 2)*(m + 1)/9
Solve -675 - 838 + 534 + 1690*n + 4*n**2 + n**2 - 716 = 0 for n.
-339, 1
Let b(m) be the second derivative of m**4/54 + 73*m**3/27 - 268*m. What is j in b(j) = 0?
-73, 0
Let q(l) = 3*l**2 - 33*l + 46. Let p be q(10). Find v, given that 9*v**2 - 9*v**3 - 5 + 4 + 4 - 21*v**5 - p*v**4 + 13*v + 17*v**5 + 4*v**2 = 0.
-3, -1, -1/2, 1
Solve q**5 + 453033*q**3 - 22*q**4 + 55*q + 54*q**2 - 453089*q**3 - 32*q**4 = 0.
-1, 0, 1, 55
Suppose 70 = 16*f - 2*f. Let i be f + (3/15)/(6/(-145)). Let -1/6*v + 1 - 7/6*v**2 + i*v**3 + 1/6*v**4 = 0. What is v?
-3, -1, 1, 2
Factor 142/9*h - 1/9*h**2 + 0.
-h*(h - 142)/9
Let u be 215968/123864 - (12/(-13) - -1). Let y(v) be the third derivative of -19*v**2 + u*v**3 + 0 + 1/60*v**6 - 1/6*v**5 + 0*v - 1/12*v**4. Factor y(g).
2*(g - 5)*(g - 1)*(g + 1)
Suppose r = -5*x + 21, 0*x - 4*r = 2*x - 12. Suppose x*o + o = -2*b, -4*o + b = -13. Factor 4*a**3 + 6/5*a**4 + 0*a + 6/5*a**o + 0.
2*a**2*(a + 3)*(3*a + 1)/5
Let f(o) be the first derivative of 1/3*o**3 + 7/2*o**2 - 150 - o - 7/4*o**4. Solve f(h) = 0.
-1, 1/7, 1
Let d(x) be the second derivative of -x**5/100 + 13*x**4/60 - 26*x**3/15 + 6*x**2 - 118*x. Let d(z) = 0. What is z?
2, 5, 6
Suppose 0 = 6*c + 1 - 13. Factor j + 76 - 76 - 3*j**3 + c*j.
-3*j*(j - 1)*(j + 1)
Let y(h) = -3*h**3 + 273*h**2 - 272*h - 6. Let x(l) = -l**3 - 3. Let a(r) = -6*x(r) + 3*y(r). Factor a(m).
-3*m*(m - 272)*(m - 1)
Suppose 2*v + 3*c = -26, 5*v = -4*c - 86 + 28. Let g(l) = -l**3 - 10*l**2 + 4*l + 43. Let y be g(v). Solve -3/2*n**y + 15/2*n + 0 + 6*n**2 = 0.
-1, 0, 5
Let c(d) be the first derivative of 84/5*d**5 + 0*d**2 - 5/2*d**6 + 14*d**3 + 43 + 141/4*d**4 + 0*d. Suppose c(i) = 0. Calculate i.
-1, -2/5, 0, 7
Suppose -2169*y - 6*k + 12 = -2168*y, y - k + 2 = 0. Find w, given that 8/17*w**4 + y*w**2 + 0*w - 2/17*w**5 + 0 + 10/17*w**3 = 0.
-1, 0, 5
Suppose -21*o + 16*o + 40 = 0. Suppose 3*b = 2*n - 19, -5*n - 3*b = -6*b - 34. Factor 5 - 20*s - o + 6 + 12 + n*s**2.
5*(s - 3)*(s - 1)
Let o(z) be the third derivative of 86*z**2 + 7/50*z**5 - 1/200*z**6 + 0 + 0*z + 4*z**3 - 11/10*z**4. Factor o(g).
-3*(g - 10)*(g - 2)**2/5
Let k be 435/261*(-153)/(-5). Suppose 17*w - k = -0. Determine r, given that 0*r**4 + 2/3*r**w - 1/6*r**5 + 0 + 0*r + 0*r**2 = 0.
-2, 0, 2
Let a(w) be the third derivative of -1/27*w**4 + 0 - 2*w**2 + 1/36*w**6 - 17/270*w**5 + 0*w**3 - 2*w. Factor a(d).
2*d*(3*d - 4)*(5*d + 1)/9
Let u = 2164 + -2212. Let k be -11 - (-10 + 108/u). Factor 10*l**2 + 35/4*l + k*l**3 + 0.
5*l*(l + 1)*(l + 7)/4
Let x be 15 + (1*3 - (-3 - -3)). Factor 3*r**3 + 2*r**4 - 5*r**4 - x*r**3 + 21*r**2 + 15*r - 6 - 12.
-3*(r - 1)**2*(r + 1)*(r + 6)
Suppose 200*l + 1473 = 691*l. Suppose 1 - 1/2*o**4 - 15/4*o + 4*o**2 - 3/4*o**l = 0. What is o?
-4, 1/2, 1
Let s(a) be the third derivative of 0*a - 12 + 1/20*a**5 + 2*a**2 - 3/8*a**4 - 2*a**3. Factor s(x).
3*(x - 4)*(x + 1)
Let 19436/3*u**2 + 1/6*u**5 + 5749/6*u**3 + 13448/3 + 29930/3*u - 79/3*u**4 = 0. Calculate u.
-4, -1, 82
Let t(v) be the second derivative of 0 - 576*v**4 - 48*v**3 + 80*v - 3/2*v**2. Determine l, given that t(l) = 0.
-1/48
Let z(y) = -y**3 + y**2 + 2*y - 5. Let q be z(-3). Let l be (30/q)/((-9)/(-30)). Factor 0*k**3 + 12*k**3 + 3*k**3 + 5*k**2 + 15*k**l + 5*k**5.
5*k**2*(k + 1)**3
Factor 229/3*j**2 + 16/9*j**3 - 14/3 + 629/9*j.
(j + 1)*(j + 42)*(16*j - 1)/9
Let c(b) = -30*b**2 - 52*b + 112. Let j(d) = 37*d**2 + 53*d - 114. Let y(f) = -5*c(f) - 4*j(f). Factor y(h).
2*(h - 2)*(h + 26)
Let l(t) = -3*t**3 + 7*t**2 - 8*t + 14. Let n be l(-6). Let p be (-3 - -2) + 0 + n/222. Factor -2 + 2/3*m**3 - p*m - 2/3*m**2.
2*(m - 3)*(m + 1)**2/3
Suppose -10 - 20 = 6*n. Let g(v) = 0*v + 3*v + 7*v**2 - 5*v**3 + 788 - 791. Let l(w) = -10*w**3 + 15*w**2 + 5*w - 5. Let u(o) = n*g(o) + 2*l(o). Factor u(z).
5*(z - 1)**2*(z + 1)
Let h(z) be the third derivative of -z**8/336 - z**7/7560 - z**5/12 + 2*z**3/3 - 74*z**2 + 2*z. Let s(x) be the third derivative of h(x). Factor s(d).
-2*d*(90*d + 1)/3
Let g(b) = -b**3 + 9*b**2 + 10219*b - 102088. Let u be g(10). Suppose -64/7*o**u + 0 + 16/7*o - 36/7*o**3 = 0. What is o?
-2, 0, 2/9
Let j(m) be the first derivative of 166 + 2/7*m**4 - 20/7*m + 29/7*m**2 + 86/21*m**3. Factor j(c).
2*(c + 1)*(c + 10)*(4*c - 1)/7
Suppose -6*h + 2 = -5*h. Let q be 47 - 49 - (21/h)/(-3). Solve 27/2*i**4 - 81/2*i**5 - 15*i**2 + 45*i**3 - 9/2*i + q = 0 for i.
-1, -1/3, 1/3, 1
Let n be (-108)/(-10)*(-22)/33. Let a = 37/5 + n. Let 0 + 0*l**2 + a*l**3 - 1/5*l = 0. Calculate l.
-1, 0, 1
Let k = -39 + 52. Suppose c + k = 4*n, 0 = -3*n - 5*c + 39 - 58. Solve 1/2*f**3 - 5/2*f - 2*f**n + 0 = 0.
-1, 0, 5
Let s(n) be the second derivative of -8 - 5*n - 3/20*n**5 + 3/2*n**3 - 5/3*n**2 - 5/18*n**4 + 1/45*n**6. Let s(m) = 0. Calculate m.
-2, 1/2, 1, 5
Factor 30*m - 81*m**3 + 28*m**2 - 252 - 38*m - 28*m + 85*m**3.
4*(m - 3)*(m + 3)*(m + 7)
Factor -20*f**3 + f + 4*f - f + 40*f**2 + 45*f**3 + 12*f.
f*(5*f + 4)**2
Let a(v) = v**3 - 1035*v**2 - 56079*v - 255031. Let j(i) = 2*i**3 - 1035*i**2 - 56083*i - 255032. Let l(r) = 7*a(r) - 6*j(r). Suppose l(n) = 0. Calculate n.
-101, -5
Let y = 324556/19473 - 2/6491. Let w(u) be the first derivative of 5/4*u**4 + 5/6*u**6 - 4*u**5 - 10*u**2 - 2 + y*u**3 - 40*u. Factor w(c).
5*(c - 2)**3*(c + 1)**2
Let v be 1650/(-963) + 5*(-8)/(-20). Let m = 5/107 + v. Suppose 4/3 - 1/3*k**5 + 5/3*k**3 - 1/3*k**4 + m*k**2 - 8/3*k = 0. What is k?
-2, 1
Let a(h) be the third derivative of 2/3*h**3 + h**2 + 1/39*h**5 - 1/780*h**6 + 37/156*h**4 + 0 - 7*h. Suppose a(b) = 0. Calculate b.
-2, -1, 13
Suppose 0 = -2*l - 2*w - 2 - 18, 3*l + 30 = -5*w. Let a be 4/(0 + l/(-5)). Determine g so that -2/5*g + 0 - 2/5*g**a = 0.
-1, 0
Factor 68*l**2 + 15225604 + 64*l**2 + 49*l**2 - 15608*l - 242*l**2 + 65*l**2.
4*(l - 1951)**2
Let w(p) = -90*p**2 - 37918*p - 16308926. Let m(n) = 8*n**2 + 3447*n + 1482630. L